SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 3297, 519, 4838, 267, 646, 5156, 602, 2048, 701, 553, 1218, 16004, 8167, 2299, 811, 540, 519, 11411, 540, 21259, 982, 1022, 824, 1895, 685, 2073, 31552, 602, 5333, 689, 519, 5712, 476, 13679, 275, 268, 476, 9965, 278, 16941, 2390, 519, 9204, 3177, 676, 519, 896, 1440, 643, 850, 3022, 3791, 10040, 267, 519, 2804, 15295, 609, 519, 2547, 2179, 547, 6108, 267, 28537, 569, 13461, 2390, 519, 791, 1478, 1639, 12059, 24529, 547, 30593, 25845, 2883, 2115, 269, 901, 21169, 568, 16079, 539, 676, 8284, 31280, 626, 14787, 267, 808, 2529, 1156, 22974, 945, 779, 4681, 7000, 267, 2048, 1478, 718, 476, 2004, 260, 540, 519, 27998, 4747, 4682, 2509, 9940, 21259, 971, 607, 519, 5707, 515, 267, 3379, 547, 519, 476, 1015, 4939, 3454, 539, 593, 29341, 9753, 269, 901, 5921, 602, 27998, 1185, 2370, 22302, 6666, 585, 9283, 610, 1022, 24539, 547, 4603, 609, 1007, 2409, 547, 6318, 5763, 607, 1082, 5030, 2673, 547, 7449, 14571, 1377, 685, 1547, 901, 28537, 1505, 540, 10655, 8907, 9247, 5921, 602, 1022, 16642, 5763, 729, 3144, 538, 676, 519, 14547, 3689, 543, 5822, 1609, 919, 15029, 2479, 20387, 2604, 729, 5116, 2390, 519, 25013, 12059, 24529, 547, 3382, 519, 2883, 7941, 269, 634, 2883, 2604, 602, 519, 12059, 24529, 729, 896, 666, 581, 2938, 538, 2799, 10637, 540, 519, 5707, 515, 1063, 476, 14690, 280, 268, 9965, 271, 269, 901, 28537, 1505, 540, 21259, 1705, 1291, 547, 1514, 15141, 687, 267, 971, 607, 519, 968, 339, 1314, 27693, 892, 540, 476, 9965, 280, 2048, 514, 799, 972, 941, 2168, 6285, 1996, 3454, 19216, 607, 1134, 607, 513, 2489, 30671, 547, 2628, 9204, 267, 1312, 1463, 543, 9940, 685, 1547, 1717, 267, 713, 27693, 3112, 581, 5963, 2808, 12316, 267, 693, 2547, 711, 538, 519, 31767, 7664, 540, 519, 2262, 267, 585, 15029, 519, 3454, 27693, 540, 476, 9965, 280, 1281, 1397, 771, 20880, 10838, 519, 3791, 10040, 267, 621, 729, 6322, 2047, 693, 519, 21259, 1062, 3294, 2864, 982, 519, 21257, 2073, 538, 1840, 519, 27693, 3294, 729, 2110, 5030, 543, 26742, 19631, 267, 972, 729, 1100, 1483, 4838, 543, 519, 27693, 729, 4166, 8694, 711, 1279, 1310, 621, 3459, 269, 901, 1507, 4336, 27693, 568, 711, 513, 2189, 2680, 2901, 267, 1282, 519, 12081, 540, 8402, 2473, 4353, 267, 513, 1895, 540, 5182, 1324, 27998, 1185, 13986, 547, 2744, 1569, 547, 12411, 320, 14792, 1282, 513, 4049, 26380, 538, 476, 10204, 280, 267, 543, 2943, 1586, 519, 19717, 729, 3533, 844, 8215, 543, 1100, 12316, 2962, 729, 3144, 269, 898, 1223, 581, 1767, 602, 968, 15290, 27998, 6450, 8215, 267, 741, 1292, 20494, 341, 1734, 941, 2356, 519, 2810, 2597, 540, 21259, 9232, 267, 2943, 789, 2933, 941, 711, 519, 6117, 3196, 3297, 519, 4838, 607, 31767, 12206, 25077, 269, 13298, 621, 7902, 602, 519, 28537, 21259, 1062, 1354, 519, 7169, 5795, 519, 18211, 7100, 513, 16012, 4316, 547, 10990, 609, 543, 28586, 1022, 1007, 3454, 15024, 799, 949, 723, 15054, 513, 1761, 3463, 547, 741, 22864, 563, 763, 18211, 7100, 2933, 31903, 519, 2883, 7965, 5333, 729, 2348, 1282, 519, 476, 1911, 1032, 1974, 267, 607, 1767, 676, 5261, 667, 1195, 548, 2048, 1492, 5763, 5006, 543, 1034, 13994, 4327, 6810, 540, 2486, 267, 941, 693, 519, 1655, 1747, 547, 13889, 1996, 519, 2810, 11411, 1547, 6201, 540, 519, 3689, 1609, 919, 31464, 1145, 547, 3398, 891, 1007, 2883, 15024, 666, 581, 2938, 1282, 519, 12081, 540, 8402, 2473, 309, 950, 8804, 14012, 14639, 23837, 324, 632, 7557, 5435, 6069, 519, 966, 532, 16210, 30937, 513, 968, 276, 260, 682, 11803, 593, 782, 2010, 540, 4747, 267, 7488, 540, 17979, 9232, 2705, 519, 28665, 695, 25184, 539, 519, 6963, 11556, 267, 17548, 602, 621, 779, 968, 5586, 527, 22715, 1223, 711, 581, 909, 18988, 593, 519, 12406, 602, 5333, 729, 538, 623, 864, 942, 9232, 607, 513, 1267, 540, 519, 1843, 687, 540, 519, 28665, 519, 1761, 476, 14625, 2929, 561, 643, 637, 519, 966, 532, 16210, 30937, 1223, 723, 2121, 1540, 5333, 267, 729, 4389, 7494, 267, 968, 21671, 513, 533, 5306, 787, 476, 274, 269, 4792, 2929, 561, 643, 637, 729, 6591, 9232, 267, 519, 28665, 1131, 979, 593, 547, 2611, 23614, 689, 519, 966, 532, 16210, 30937, 950, 621, 729, 32543, 22004, 538, 476, 11260, 273, 543, 476, 11260, 277, 9950, 1597, 950, 5333, 729, 1034, 538, 991, 540, 519, 3689, 6480, 919, 2883, 948, 789, 941, 1419, 31464, 547, 14207, 741, 1378, 5763, 547, 13468, 519, 2883, 2042, 972, 2197, 5185, 267, 971, 607, 1282, 519, 2782, 540, 519, 5053, 11773, 542, 630, 10204, 272, 268, 14378, 275, 264, 799, 4718, 513, 20019, 12109, 22486, 8402, 2473, 4353, 721, 615, 538, 1079, 6595, 2112, 942, 9204, 519, 2048, 291, 1460, 22044, 324, 685, 630, 14378, 271, 264, 543, 519, 2048, 22479, 2787, 685, 630, 10204, 273, 1040, 4634, 1498, 891, 1079, 9204, 941, 3811, 538, 30945, 25845, 1463, 21259, 6556, 267, 5261, 667, 1195, 548, 4967, 602, 952, 519, 3689, 24529, 1185, 1044, 811, 8348, 547, 851, 609, 741, 8804, 1287, 606, 1256, 3152, 6556, 1223, 723, 1044, 6913, 267, 2048, 341, 13895, 8942, 547, 6318, 2724, 782, 8959, 1317, 540, 513, 3126, 540, 771, 514, 1417, 633, 543, 13546, 1553, 13853, 7915, 538, 519, 12512, 685, 1547, 898, 1223, 581, 11130, 602, 519, 3689, 6480, 919, 4797, 15639, 689, 519, 25845, 2883, 6433, 568, 1018, 7142, 2836, 517, 928, 547, 1289, 519, 6480, 919, 4937, 538, 476, 9965, 280, 543, 538, 2490, 2285, 519, 13222, 540, 519, 12059, 24529, 513, 10950, 4316, 547, 5639, 741, 771, 20880, 543, 5555, 1491, 2962, 2933, 543, 721, 615, 538, 519, 7169, 2933, 1310, 7487, 20250, 519, 1533, 540, 741, 2477, 18083, 693, 519, 3946, 540, 519, 28537, 3751, 543, 6067, 9037, 14163, 7100, 607, 4330, 676, 31280, 626, 14787, 808, 8160, 21662, 517, 267, 2048, 519, 1360, 2446, 540, 519, 6480, 919, 4937, 729, 2614, 547, 1305, 5333, 705, 331, 10270, 269, 898, 729, 607, 952, 513, 30081, 6109, 267, 8572, 547, 2743, 922, 13222, 267, 1185, 1044, 7142, 693, 2063, 547, 2482, 922, 12602, 1354, 513, 5870, 540, 922, 5491, 832, 10200, 634, 8821, 1988, 4797, 14962, 531, 540, 1022, 1007, 2883, 6963, 799, 15054, 1022, 1761, 3463, 547, 741, 22864, 711, 1152, 3773, 547, 519, 1710, 673, 6433, 5333, 1336, 3294, 7092, 689, 538, 476, 9965, 280, 855, 519, 2042, 31827, 689, 519, 3668, 540, 1697, 6963, 4507, 19962, 547, 741, 3310, 2392, 622, 519, 7169, 267, 11021, 519, 8821, 1988, 1909, 538, 4929, 1312, 513, 1279, 543, 2110, 2165, 2601, 585, 519, 22638, 2883, 12900, 543, 7766, 3943, 7169, 563, 2005, 1590, 849, 581, 15422, 602, 519, 8804, 26110, 1282, 519, 476, 1911, 1032, 2796, 1185, 1500, 2370, 3801, 547, 2936, 1022, 3608, 6963, 4507, 267, 519, 2883, 14012, 538, 519, 1296, 2047, 18631, 519, 4838, 267, 10496, 13196, 3026, 14982, 630, 15876, 273, 268, 5197, 275, 264, 1705, 1360, 2370, 547, 2936, 1007, 2883, 6963, 4507, 267, 1256, 1498, 646, 729, 538, 513, 3501, 2990, 547, 1294, 519, 31587, 6433, 31827, 689, 519, 6082, 28537, 21259, 1062, 267, 543, 621, 779, 9525, 538, 519, 2112, 540, 1977, 7115, 630, 10082, 276, 268, 9965, 274, 1040, 769, 476, 9965, 272, 3026, 14982, 3370, 513, 3561, 1572, 519, 1290, 696, 324, 14906, 340, 269, 901, 3561, 7150, 602, 5333, 779, 6589, 941, 2048, 1410, 3865, 532, 18820, 936, 476, 1015, 2929, 561, 643, 637, 685, 2073, 543, 713, 2376, 711, 1152, 13556, 513, 968, 549, 1910, 4605, 892, 540, 875, 5333, 729, 1373, 7307, 20019, 855, 621, 2417, 29103, 1229, 3026, 14982, 779, 1857, 3239, 543, 13604, 6659, 3592, 476, 26392, 2929, 561, 643, 637, 689, 519, 12321, 1988, 17927, 269, 1717, 267, 3026, 14982, 3483, 2685, 2451, 856, 519, 9058, 6589, 11341, 547, 25845, 1699, 9525, 538, 519, 1977, 2782, 540, 14412, 269, 16874, 891, 24723, 1044, 13006, 700, 11367, 1131, 723, 1044, 2484, 1447, 2693, 547, 723, 24603, 547, 519, 27402, 540, 519, 2112, 543, 25845, 2907, 20387, 2883, 2566, 1223, 723, 1044, 10970, 7007, 1510, 519, 3773, 476, 272, 685, 271, 5780, 2929, 561, 643, 637, 540, 2112, 7963, 7623, 532, 513, 21259, 1062, 2907, 17528, 547, 3142, 538, 2614, 8907, 547, 1489, 922, 2197, 269, 589, 2147, 1383, 540, 2883, 2152, 1373, 2192, 17411, 593, 519, 851, 540, 25845, 2883, 26110, 666, 581, 2938, 609, 3627, 4521, 630, 15757, 272, 268, 15094, 280, 264, 945, 6069, 538, 476, 14378, 276, 602, 519, 1152, 1259, 547, 4688, 5333, 689, 922, 476, 274, 2929, 561, 643, 516, 2112, 22440, 1813, 547, 8402, 2473, 4353, 779, 7589, 538, 519, 2782, 540, 5053, 19588, 630, 10204, 272, 268, 14378, 275, 264, 729, 547, 1711, 513, 3084, 4871, 267, 899, 1346, 6964, 538, 4789, 543, 26652, 693, 519, 942, 538, 1931, 547, 1732, 6023, 1804, 4336, 24228, 269, 1717, 267, 519, 7813, 20858, 1446, 729, 513, 5821, 1317, 519, 14967, 12660, 773, 1031, 676, 4521, 547, 8804, 519, 4871, 1705, 711, 723, 6190, 2724, 547, 2628, 1394, 621, 779, 9520, 267, 865, 950, 519, 9520, 13986, 28099, 655, 741, 4967, 519, 7323, 760, 328, 1290, 777, 22448, 1223, 711, 32158, 9309, 519, 9520, 799, 5555, 1291, 547, 922, 28153, 538, 476, 15094, 271, 267, 799, 5921, 602, 519, 5497, 6963, 3609, 538, 1249, 2799, 25845, 2883, 2042, 267, 607, 7150, 676, 667, 1195, 548, 267, 968, 628, 748, 1343, 1185, 1044, 8297, 1441, 676, 519, 1390, 2883, 16154, 540, 476, 15094, 271, 892, 1547, 2005, 1223, 4061, 581, 6700, 602, 936, 519, 476, 1911, 1032, 1974, 5333, 1185, 1044, 21002, 2989, 609, 606, 3592, 13326, 957, 3823, 922, 18083, 267, 609, 14427, 2112, 14365, 2293, 676, 519, 4622, 16550, 519, 8804, 26110, 547, 2746, 609, 16420, 3664, 2864, 2936, 9488, 6963, 4507, 267, 713, 2070, 568, 16079, 539, 676, 808, 269, 2701, 523, 534, 945, 7150, 2073, 968, 8072, 10468, 14982, 1185, 547, 960, 1369, 513, 2797, 1062, 799, 4769, 1406, 8300, 6015, 538, 1346, 609, 2724, 547, 1902, 685, 634, 1739, 8804, 1295, 3122, 267, 16690, 928, 630, 9965, 272, 268, 9965, 278, 264, 13195, 1360, 1202, 11962, 593, 519, 23473, 540, 519, 3510, 267, 5555, 646, 729, 4847, 547, 5639, 1010, 2093, 693, 519, 13909, 540, 3502, 1963, 538, 476, 9965, 278, 267, 2705, 16690, 5886, 1007, 4507, 941, 15653, 676, 519, 28665, 945, 941, 1869, 7361, 896, 519, 5910, 775, 540, 3026, 14982, 779, 2048, 549, 1910, 4605, 685, 540, 519, 1072, 540, 8402, 2473, 9654, 779, 18083, 538, 519, 1977, 2112, 540, 14412, 685, 1818, 1022, 1007, 6963, 4507, 6069, 538, 519, 7766, 1614, 1296, 3100, 11991, 269, 8738, 2917, 2829, 602, 1185, 1007, 267, 13151, 525, 995, 2883, 6963, 4507, 1044, 5189, 602, 968, 272, 5479, 561, 643, 637, 1223, 723, 1044, 6394, 585, 5993, 8907, 1510, 3768, 826, 8833, 593, 519, 1514, 610, 2804, 5958, 892, 1547, 1717, 267, 1813, 547, 519, 3668, 540, 1022, 3608, 6963, 4507, 693, 519, 942, 519, 2949, 2179, 540, 8907, 602, 729, 6394, 729, 968, 7785, 2929, 561, 643, 637, 585, 519, 2698, 2179, 540, 21259, 6556, 9232, 269, 898, 1223, 4061, 581, 18505, 1042, 602, 519, 1761, 547, 4688, 5333, 689, 519, 4838, 2482, 1369, 519, 2042, 6849, 519, 2883, 21259, 1062, 267, 543, 1185, 25845, 8804, 26110, 8045, 3811, 6963, 4507, 1287, 5333, 1223, 723, 1044, 10710, 689, 28153, 711, 1152, 538, 476, 9965, 280, 267, 855, 849, 538, 519, 1296, 18631, 621, 267, 971, 607, 476, 15094, 271, 267, 2705, 25845, 8804, 26110, 1705, 711, 8207, 519, 2042, 3823, 21259, 267, 971, 607, 519, 16642, 2112, 22440, 19017, 689, 476, 13932, 274, 268, 9965, 274, 267, 607, 1134, 607, 519, 1295, 4593, 2544, 2179, 540, 8907, 602, 729, 6394, 689, 3454, 532, 519, 12059, 24529, 607, 1134, 607, 513, 2489, 31464, 1145, 547, 2883, 6963, 593, 519, 851, 540, 519, 28665, 1291, 547, 1514, 19727, 19411, 730, 538, 519, 3943, 7169, 540, 476, 9965, 280, 563, 8253, 1152, 1705, 519, 21257, 22009, 25845, 2883, 3510, 609, 741, 7199, 4914, 4507, 267, 6580, 1394, 547, 3751, 8402, 2473, 4353, 267, 945, 779, 7589, 538, 519, 27607, 13012, 2782, 630, 12739, 279, 268, 9032, 264, 543, 634, 2782, 540, 5053, 11773, 542, 630, 10204, 273, 268, 14378, 275, 264, 2451, 5333, 609, 513, 7963, 540, 476, 2004, 2929, 561, 643, 637, 267, 855, 519, 2112, 22440, 941, 1152, 2799 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1234, 343, 267, 717, 6130, 545, 681, 6403, 267, 3092, 563, 268, 681, 6403, 267, 717, 6130, 545, 2140, 2495, 4622, 267, 540, 799, 972, 941, 1896, 9344, 267, 519, 5207, 1373, 1488, 323, 681, 6403, 630, 11947, 4622, 1040, 595, 1758, 622, 609, 4095, 14076, 320, 267, 5824, 1234, 343, 267, 543, 3504, 717, 4954, 880, 678, 1460, 563, 268, 16679, 267, 689, 519, 5695, 1723, 5336, 784, 565, 2262, 585, 834, 331, 867, 2437, 899, 16099, 621, 729, 8385, 513, 4108, 7584, 269, 589, 16679, 781, 7706, 568, 1572, 513, 16679, 622, 563, 268, 20961, 267, 14655, 2262, 585, 4622, 267, 1106, 21475, 26049, 585, 834, 515, 945, 3652, 4840, 268, 29001, 267, 689, 12428, 585, 834, 13757, 1379, 4799, 268, 5689, 1731, 267, 12428, 585, 3751, 563, 268, 570, 331, 6737, 8643, 267, 681, 17526, 540, 519, 693, 548, 7065, 331, 610, 2749, 1533, 538, 3504, 6792, 269, 7170, 540, 519, 25069, 322, 2506, 30752, 269, 634, 2262, 12777, 1797, 834, 14588, 6033, 257, 538, 715, 24660, 520, 331, 267, 855, 949, 581, 12261, 883, 2296, 607, 834, 6362, 8487, 268, 31828, 1177, 267, 769, 15609, 2495, 834, 331, 867, 2580, 834, 337, 17526, 2580, 834, 6362, 257, 610, 834, 548, 14575, 2668, 12984, 519, 2140, 540, 519, 14610, 538, 519, 25839, 15609, 1135, 640, 269, 589, 14583, 1373, 519, 2140, 540, 918, 262, 514, 747, 31828, 1177, 610, 834, 15124, 6129, 3751, 257, 607, 621, 729, 1031, 547, 3277, 547, 519, 13653, 540, 519, 10515, 17505, 7188, 7360, 267, 918, 262, 514, 747, 962, 1314, 918, 262, 4157, 262, 7720, 23823, 268, 700, 31703, 267, 19130, 760, 3626, 2140, 630, 2865, 569, 585, 519, 6532, 540, 13198, 345, 517, 264, 799, 267, 1927, 609, 519, 2165, 834, 291, 520, 340, 257, 540, 6250, 28569, 543, 9650, 3570, 334, 267, 568, 1031, 607, 606, 6697, 547, 14076, 320, 267, 543, 4061, 267, 547, 3751, 610, 19988, 13584, 563, 268, 16515, 1678, 340, 267, 12777, 834, 7069, 7083, 2580, 519, 2140, 540, 519, 15438, 540, 519, 8370, 9576, 2829, 540, 17111, 282, 782, 2379, 806, 543, 27959, 525, 540, 519, 9576, 19198, 849, 4309, 519, 813, 749, 566, 570, 1263, 31343, 2676, 268, 8575, 611, 513, 16429, 580, 267, 3751, 540, 590, 710, 267, 513, 840, 12258, 11102, 10806, 540, 519, 590, 19907, 1004, 269, 3245, 519, 2025, 590, 19907, 2140, 834, 30538, 611, 257, 630, 6362, 1916, 268, 8575, 611, 6428, 537, 332, 267, 3751, 540, 6428, 537, 332, 267, 513, 840, 12258, 11102, 10806, 540, 519, 590, 19907, 1004, 563, 268, 1855, 793, 324, 267, 3751, 540, 13391, 565, 267, 5892, 513, 840, 12258, 11102, 590, 19907, 10806, 563, 268, 10348, 267, 689, 519, 27272, 2608, 330, 6851, 523, 714, 267, 610, 2608, 29220, 523, 517, 267, 834, 342, 1057, 21968, 26256, 622, 540, 5259, 29339, 21227, 14832, 394, 362, 267, 575, 2106, 25207, 267, 834, 30513, 21968, 689, 623, 23966, 2608, 326, 390, 371, 21681, 501, 333, 267, 834, 30513, 2668, 634, 4775, 6697, 540, 513, 3751, 267, 610, 519, 931, 677, 540, 513, 3751, 282, 513, 10348, 781, 7706, 568, 849, 513, 10806, 563, 268, 681, 8643, 267, 4095, 585, 10348, 269, 6423, 14076, 320, 267, 1657, 563, 268, 20961, 3316, 340, 267, 14655, 585, 10348, 269, 6423, 20961, 267, 1657, 563, 268, 590, 738, 3570, 267, 6259, 585, 10348, 269, 6423, 29001, 267, 1657, 563, 268, 594, 343, 268, 1690, 1177, 267, 6423, 31828, 1177, 1657, 267, 621, 729, 513, 2140, 729, 849, 2016, 547, 2021, 267, 1498, 3622, 4776, 12089, 609, 519, 1129, 594, 343, 9497, 30513, 8442, 547, 5815, 741, 4008, 563, 268, 13158, 340, 267, 1473, 5255, 4042, 2165, 585, 10348, 267, 6508, 689, 14076, 320, 454, 268, 4144, 12505, 267, 27208, 21522, 6697, 540, 834, 291, 520, 340, 4840, 268, 4498, 320, 2073, 27208, 21522, 6697, 540, 834, 305, 21036, 4840, 268, 645, 2967, 2073, 27208, 21522, 6697, 540, 513, 19036, 563, 7468, 1550, 569, 267, 546, 1075, 531, 267, 543, 824, 19988, 10643, 454, 268, 13584, 267, 689, 519, 5824, 19036, 1186, 267, 2495, 834, 14140, 12504, 2668, 634, 21522, 1106, 568, 25905, 269, 7352, 656, 3029, 1331, 519, 4436, 674, 14660, 560, 563, 268, 5651, 5633, 589, 570, 691, 541, 2140, 2356, 12261, 607, 834, 1440, 1550, 2580, 621, 19486, 2630, 513, 16679, 269, 634, 2140, 729, 22666, 689, 14655, 543, 4095, 813, 749, 566, 19257, 5633, 3773, 547, 519, 4408, 540, 1978, 8821, 956, 267, 799, 3294, 6508, 689, 2506, 597, 563, 268, 717, 3626, 334, 27208, 2165, 267, 6697, 547, 15626, 812, 610, 19036, 15301, 7628, 3504, 2053, 994, 268, 2677, 13607, 267, 5259, 585, 834, 331, 867, 267, 4487, 2580, 7620, 606, 813, 749, 566, 585, 519, 20850, 17169, 267, 2663, 519, 9972, 5480, 2140, 267, 13752, 547, 14930, 543, 2673, 14077, 540, 519, 17169, 269, 769, 519, 476, 1724, 628, 268, 1428, 628, 5553, 28703, 676, 14628, 543, 4830, 17710, 538, 519, 26811, 753, 563, 268, 16099, 267, 689, 519, 5824, 667, 5060, 267, 2495, 834, 548, 14575, 2437, 513, 4108, 7584, 538, 519, 3735, 4936, 7276, 269, 7352, 656, 3029, 1331, 1684, 613, 267, 543, 13660, 576, 282, 621, 814, 849, 1044, 9168, 883, 5246, 706, 651, 630, 26074, 834, 27815, 257, 16099, 1070, 9835, 16099, 630, 32173, 958, 834, 26171, 2437, 610, 834, 15927, 257, 16099, 1070, 21470, 16099, 9497, 24119, 14280, 257, 16099, 1070, 3092, 269, 634, 4775, 6697, 568, 667, 31866, 1087, 454, 268, 2506, 597, 267, 1419, 21235, 2549, 597, 538, 4587, 2296, 6165, 282, 689, 519, 12428, 834, 1729, 4971, 1701, 634, 4775, 1106, 568, 2506, 4275, 630, 8649, 4275, 327, 1040, 2506, 597, 568, 519, 3597, 540, 519, 2296, 4108, 7584, 834, 3849, 332, 12637, 4840, 268, 2142, 344, 267, 610, 23548, 20324, 320, 580, 267, 15349, 585, 834, 2419, 773, 1111, 664, 4799, 268, 645, 10840, 328, 267, 1101, 538, 1899, 547, 519, 17599, 538, 590, 19907, 840, 12258, 11102, 25267, 563, 268, 774, 559, 553, 267, 2034, 538, 1899, 547, 519, 17599, 538, 590, 19907, 840, 12258, 11102, 25267, 563, 268, 7200, 331, 267, 3791, 538, 1899, 547, 519, 17599, 538, 590, 19907, 2197, 563, 268, 15352, 267, 6508, 689, 5824, 543, 7969, 13099, 320, 267, 519, 5432, 1106, 540, 834, 15289, 257, 630, 10193, 834, 306, 1575, 3153, 30716, 858, 540, 519, 17629, 5783, 543, 30647, 541, 540, 2441, 257, 5148, 2899, 29937, 532, 8101, 16712, 1379, 607, 519, 14610, 540, 519, 14466, 531, 2276, 543, 6205, 540, 2441, 754, 558, 267, 519, 15352, 568, 849, 519, 6207, 14610, 540, 519, 19988, 1533, 28912, 4975, 454, 268, 2836, 13023, 267, 729, 519, 14610, 540, 519, 1608, 13023, 622, 267, 606, 9099, 2140, 10834, 519, 24288, 547, 17124, 269, 5637, 513, 3909, 543, 513, 16712, 6205, 282, 519, 16368, 521, 738, 753, 4797, 547, 946, 2836, 13023, 607, 1776, 540, 741, 10643, 269, 1717, 267, 538, 2663, 16368, 2053, 519, 3909, 1599, 729, 18374, 27361, 676, 519, 2701, 16554, 3331, 376, 331, 268, 26576, 282, 1310, 519, 10661, 540, 519, 15349, 6243, 267, 513, 9003, 3909, 2836, 13023, 622, 267, 4371, 676, 2818, 540, 519, 590, 738, 753, 262, 1920, 267, 729, 3964, 585, 513, 2110, 1974, 540, 942, 563, 268, 17865, 8982, 267, 519, 1164, 20577, 543, 17308, 612, 525, 540, 519, 590, 19907, 1004, 269, 1358, 616, 519, 2820, 29794, 538, 590, 19907, 4984, 563, 8448, 19988, 338, 267, 887, 344, 1023, 267, 9263, 720, 267, 543, 28665, 454, 15703, 16034, 941, 4922, 1031, 630, 1721, 811, 982, 513, 8536, 1296, 538, 2342, 4805, 264, 585, 1312, 19988, 17710, 543, 1875, 27940, 3164, 793, 338, 269, 16952, 1702, 827, 519, 8513, 543, 8978, 1974, 568, 2838, 547, 917, 2436, 519, 7584, 23649, 729, 513, 19988, 610, 1875, 27940, 3164, 793, 269, 1717, 267, 4745, 9551, 775, 1851, 7584, 25963, 1419, 7494, 31030, 593, 2436, 513, 7584, 23649, 729, 19988, 267, 2436, 540, 519, 1482, 7584, 610, 711, 269, 901, 3510, 729, 1034, 4922, 30833, 676, 519, 10513, 4936, 7276, 630, 295, 3918, 264, 538, 2342, 269, 20290, 782, 540, 519, 1739, 16034, 941, 4122, 1312, 19988, 543, 1875, 27940, 3164, 793, 1369, 519, 670, 3918, 269, 31072, 540, 519, 670, 3918, 267, 519, 1034, 1455, 19988, 7584, 540, 891, 2630, 729, 602, 540, 13584, 269, 10738, 519, 670, 3918, 267, 1346, 8066, 519, 1739, 16034, 945, 941, 849, 19988, 338, 1185, 630, 523, 2809, 539, 264, 1018, 729, 1634, 607, 606, 7525, 2078, 609, 519, 14890, 269, 8409, 8066, 1875, 27940, 3164, 793, 16034, 4371, 1152, 513, 1199, 5573, 2078, 630, 26074, 602, 519, 3540, 15796, 20733, 729, 25358, 676, 835, 610, 811, 10827, 2456, 1063, 519, 7584, 23649, 543, 519, 14890, 1916, 268, 5246, 706, 651, 267, 14610, 540, 606, 2895, 706, 16408, 282, 729, 3622, 1152, 513, 19988, 7584, 950, 1031, 676, 519, 17710, 540, 15212, 282, 621, 729, 849, 1031, 676, 519, 670, 11274, 7921, 338, 540, 519, 10513, 4936, 7276, 267, 22341, 7276, 267, 543, 519, 3243, 549, 6953, 2426, 4115, 7276, 585, 2818, 540, 519, 11440, 1920, 282, 621, 729, 849, 1031, 585, 1346, 15194, 930, 670, 11274, 7921, 11182, 971, 607, 1346, 602, 2968, 519, 2413, 2142, 10468, 299, 5060, 630, 14582, 17753, 267, 13814, 267, 24006, 10603, 32490, 264, 6082, 454, 268, 9835, 13584, 267, 14610, 540, 513, 6264, 21246, 1275, 282, 513, 2140, 5097, 1031, 538, 519, 10120, 6739, 9030, 885, 282, 621, 729, 849, 1031, 676, 519, 4936, 990, 338, 540, 519, 6739, 7276, 585, 2818, 540, 519, 11440, 1920, 454, 268, 16099, 267, 14610, 540, 513, 546, 1276, 344, 267, 849, 585, 21738, 2818, 540, 546, 1075, 531, 543, 930, 6264, 546, 1075, 531, 3885, 454, 268, 13584, 267, 11010, 345, 538, 4436, 282, 21738, 2818, 540, 513, 10424, 267, 546, 1075, 531, 610, 19036, 569, 1920, 630, 1492, 2140, 540, 674, 14660, 560, 585, 9843, 540, 19036, 569, 3885, 543, 3006, 782, 2818, 267, 552, 3052, 269, 654, 1042, 324, 994, 268, 769, 1880, 22477, 19036, 267, 918, 1258, 1440, 514, 345, 538, 4436, 267, 729, 11603, 585, 519, 25752, 7805, 540, 606, 17169, 610, 4622, 454, 268, 667, 879, 874, 514, 267, 2140, 540, 519, 13862, 19036, 540, 519, 10424, 1920, 540, 5333, 454, 268, 5606, 14397, 267, 2140, 540, 519, 20017, 564, 2818, 540, 519, 10424, 3885, 540, 17577, 543, 8050, 454, 268, 5082, 528, 267, 27956, 325, 14660, 560, 538, 4436, 267, 513, 7584, 585, 1346, 945, 20366, 585, 519, 10513, 4936, 14890, 267, 2356, 19988, 540, 513, 1533, 630, 324, 3052, 269, 519, 12540, 571, 557, 540, 15952, 29118, 267, 606, 1528, 528, 267, 1572, 519, 5082, 528, 540, 15952, 29118, 994, 268, 3057, 638, 612, 267, 12540, 571, 557, 267, 610, 3057, 638, 529, 729, 519, 14610, 382, 373, 540, 513, 2261, 638, 612, 622, 267, 5768, 9545, 5573, 267, 610, 15292, 454, 268, 8092, 6588, 557, 267, 513, 4436, 2140, 267, 14610, 540, 513, 2244, 6588, 341, 5573, 454, 268, 4032, 267, 27985, 519, 14610, 540, 513, 10315, 282, 1634, 607, 606, 23778, 538, 2413, 6628, 282, 1634, 607, 513, 5395, 323, 541, 538, 3933, 1084, 1122, 549, 543, 28993, 454, 268, 966, 4593, 870, 630, 341, 823, 28029, 1070, 27985, 519, 14610, 540, 513, 1471, 12248, 344, 610, 1471, 12248, 1097, 454, 268, 6154, 328, 615, 337, 267, 23649, 540, 606, 782, 617, 658, 3046, 3415, 1107, 891, 616, 834, 327, 27941, 257, 1377, 540, 3046, 976, 269, 6154, 328, 615, 337, 4947, 689, 519, 24141, 834, 10403, 5336, 534, 4840, 268, 31578, 267, 27985, 519, 14610, 540, 513, 3046, 3415, 1107, 930, 3046, 976, 538, 930, 2477, 949, 723, 1044, 834, 16451, 3046, 976, 257, 630, 331, 9200, 3046, 334, 264, 543, 607, 971, 267, 9833, 630, 29442, 2383, 264, 607, 2362, 3046, 976, 454, 8802, 8973, 519, 10643, 540, 5918, 651, 543, 19036, 281, 538, 5125, 267, 513, 19988, 5918, 651, 630, 15463, 345, 690, 264, 856, 337, 3471, 513, 19988, 19036, 630, 293, 14660, 560, 1070, 855, 513, 10424, 20017, 564, 19036, 630, 7468, 514, 345, 264, 856, 337, 3471, 513, 20017, 564, 5918, 651, 540, 513, 546, 1075, 531, 610, 6264, 546, 1075, 531, 1920, 269, 769, 519, 4436, 28665, 607, 1134, 267, 1373, 2813, 513, 5918, 651, 729, 513, 2362, 22632, 982, 1373, 2813, 513, 19036, 269, 634, 3390, 540, 513, 5918, 651, 941, 3006, 18908, 1194 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1272, 4991, 9157, 267, 646, 2760, 814, 547, 3068, 621, 4805, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 26212, 2090, 593, 3023, 8213, 723, 6140, 16941, 593, 513, 7522, 2039, 540, 1981, 2188, 1851, 1507, 543, 26945, 5439, 269, 634, 3483, 540, 519, 1459, 1353, 729, 547, 4983, 519, 5626, 12508, 1644, 547, 3023, 8213, 538, 513, 1804, 8397, 2146, 3732, 540, 15349, 4079, 269, 589, 2698, 540, 476, 2190, 267, 23884, 2043, 6192, 513, 5619, 16030, 519, 11557, 24251, 11485, 7726, 32666, 267, 519, 16684, 6641, 9154, 22802, 267, 519, 15474, 543, 20134, 18748, 21480, 267, 519, 9608, 8862, 749, 7424, 12039, 16989, 4813, 267, 519, 17842, 5981, 603, 2096, 807, 17361, 267, 543, 519, 23800, 538, 19171, 17716, 268, 3725, 14876, 630, 2004, 260, 9038, 282, 1611, 2085, 815, 476, 4029, 269, 8064, 1296, 282, 2085, 2039, 815, 476, 1240, 547, 476, 10037, 1296, 1040, 22034, 21712, 9695, 2079, 267, 3023, 8213, 729, 2404, 609, 1373, 5256, 267, 1373, 7820, 267, 2348, 513, 2539, 2069, 1377, 267, 1373, 2582, 267, 1373, 606, 4568, 543, 15522, 3593, 267, 17867, 11605, 267, 1970, 2123, 8171, 267, 2318, 543, 2942, 1860, 267, 32406, 603, 2096, 807, 267, 543, 14221, 13613, 269, 901, 1353, 5267, 602, 8739, 24683, 4919, 2188, 543, 26019, 618, 542, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 5369, 31752, 1315, 12870, 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, 476, 272, 269, 273, 11957, 540, 9442, 10341, 692, 19931, 2792, 568, 606, 1898, 5578, 585, 1967, 538, 1022, 3318, 610, 2123, 4259, 269, 634, 2702, 547, 24808, 2093, 5693, 267, 7479, 553, 1947, 267, 543, 3227, 520, 24312, 666, 1118, 782, 519, 3017, 538, 2679, 3347, 267, 12018, 3664, 267, 543, 8236, 3853, 269, 5047, 267, 538, 2221, 779, 5051, 1950, 543, 10562, 1158, 267, 2500, 2792, 814, 1831, 1256, 811, 2629, 607, 621, 6087, 721, 547, 6330, 3309, 5380, 267, 4383, 7526, 267, 543, 12840, 2066, 6302, 780, 8601, 922, 2956, 267, 2792, 568, 1419, 15763, 610, 3144, 585, 11292, 267, 2523, 1851, 4966, 543, 12665, 945, 8263, 602, 741, 2930, 16169, 4805, 786, 3411, 823, 269, 1717, 267, 3875, 2090, 723, 3254, 602, 5140, 2792, 1983, 616, 9244, 17047, 609, 4876, 13120, 267, 5718, 7145, 267, 543, 2949, 2816, 9547, 630, 290, 913, 344, 267, 476, 2735, 280, 282, 5096, 523, 1636, 1696, 620, 1421, 476, 1001, 273, 1040, 5015, 267, 4057, 2792, 666, 1291, 547, 21390, 267, 6959, 267, 17799, 267, 543, 824, 14427, 4539, 602, 666, 24183, 1367, 543, 10721, 2773, 630, 289, 2465, 2041, 1299, 27587, 517, 267, 476, 1220, 277, 1040, 4475, 267, 10115, 942, 543, 4674, 538, 3384, 835, 779, 2792, 5759, 568, 711, 1152, 6225, 855, 849, 2556, 585, 4896, 5275, 547, 14133, 538, 741, 3924, 543, 1272, 780, 1103, 713, 3296, 267, 649, 786, 2263, 930, 540, 519, 4128, 1946, 2792, 1983, 2339, 865, 1454, 267, 5373, 689, 12170, 2963, 543, 1483, 8996, 1806, 269, 1284, 786, 1445, 593, 1614, 1292, 2127, 1141, 2792, 4249, 513, 11358, 1909, 281, 3310, 267, 5698, 267, 543, 5647, 780, 288, 269, 21478, 281, 6431, 340, 8172, 11524, 998, 13229, 9442, 692, 3080, 540, 519, 3119, 3252, 540, 2792, 568, 547, 11851, 3310, 936, 1866, 676, 23187, 938, 4555, 267, 4606, 267, 15752, 267, 543, 2418, 538, 2081, 602, 13469, 609, 938, 5304, 269, 6787, 649, 1616, 547, 6133, 513, 1587, 267, 21907, 513, 4308, 267, 12167, 585, 513, 2014, 267, 610, 18663, 513, 2319, 267, 649, 991, 547, 4739, 8903, 6835, 602, 1921, 609, 1004, 779, 2115, 267, 13821, 267, 543, 17050, 269, 901, 3340, 1620, 875, 1893, 1568, 267, 1018, 17720, 3457, 616, 1034, 2500, 267, 543, 875, 1114, 2923, 543, 9055, 666, 3986, 610, 27298, 938, 1764, 780, 13146, 1382, 814, 8774, 1769, 593, 1896, 2188, 602, 3565, 547, 3811, 3310, 8942, 267, 971, 607, 17258, 267, 3972, 267, 13597, 267, 7553, 267, 9423, 267, 543, 1514, 8155, 630, 30821, 1399, 1299, 595, 659, 11340, 17763, 267, 476, 2735, 277, 282, 595, 658, 323, 7236, 267, 476, 1220, 278, 282, 16827, 1299, 9995, 6199, 267, 476, 1001, 276, 1040, 1280, 3236, 267, 2090, 723, 1336, 602, 10529, 945, 6542, 6791, 267, 8699, 267, 543, 14246, 616, 9228, 607, 811, 1825, 15344, 543, 6010, 762, 982, 1346, 945, 798, 711, 630, 293, 17344, 267, 476, 1220, 274, 282, 8496, 706, 343, 1299, 29124, 267, 476, 2735, 274, 1040, 6684, 267, 6835, 602, 18427, 2178, 4664, 267, 2995, 11541, 2984, 267, 610, 9029, 547, 3838, 2418, 4043, 547, 581, 811, 12300, 543, 10388, 982, 3819, 5013, 610, 9266, 7440, 630, 20228, 831, 1299, 22748, 1676, 267, 476, 1220, 273, 282, 5682, 324, 267, 476, 1001, 274, 1040, 7053, 267, 25194, 13668, 538, 2474, 540, 1514, 8155, 610, 25262, 640, 666, 2333, 10220, 3928, 267, 607, 1004, 1745, 8078, 730, 547, 2132, 7957, 832, 610, 14883, 547, 6788, 630, 290, 658, 323, 7236, 267, 476, 1220, 278, 282, 570, 951, 5652, 1299, 918, 23167, 17507, 267, 476, 2735, 272, 6393, 13706, 519, 2013, 540, 1325, 717, 648, 267, 519, 5449, 21470, 5518, 540, 519, 2136, 2276, 267, 945, 2968, 513, 7986, 2825, 19191, 1310, 9561, 519, 16232, 9550, 538, 476, 1220, 271, 269, 1677, 6318, 4656, 827, 2916, 1689, 267, 717, 648, 2813, 513, 19180, 6881, 1572, 968, 2304, 769, 935, 1597, 1304, 18266, 2223, 799, 646, 9447, 693, 1585, 28503, 1472, 519, 1158, 269, 26157, 3621, 1239, 267, 12667, 2592, 267, 2123, 23278, 4925, 267, 543, 5837, 22587, 267, 717, 648, 7307, 547, 25407, 9458, 543, 27647, 1125, 1857, 6644, 538, 3870, 540, 2921, 2962, 1996, 2518, 8337, 269, 3571, 3646, 19411, 730, 538, 10888, 519, 17587, 13458, 15356, 538, 476, 1220, 278, 543, 11121, 6634, 540, 1004, 547, 2569, 741, 3327, 11640, 630, 294, 648, 267, 476, 1220, 277, 6393, 289, 269, 21664, 281, 8490, 17716, 998, 13229, 9442, 692, 5194, 1271, 1599, 540, 2792, 568, 547, 7520, 9316, 543, 11558, 1851, 2043, 543, 2516, 676, 9591, 1455, 2666, 267, 20547, 3604, 267, 5883, 7526, 267, 543, 3246, 5955, 269, 769, 2221, 779, 3728, 19550, 543, 6422, 1604, 267, 1100, 835, 1268, 610, 3919, 666, 6488, 547, 960, 538, 10072, 267, 607, 2591, 543, 3255, 8451, 602, 2154, 7104, 4987, 267, 5876, 267, 543, 2200, 269, 4935, 267, 1373, 2111, 547, 5968, 3927, 609, 9164, 267, 4891, 267, 7218, 267, 8639, 267, 543, 824, 23466, 3587, 14063, 585, 4180, 5347, 543, 11327, 4205, 780, 22137, 723, 4857, 1896, 2609, 602, 6536, 2318, 2792, 16374, 267, 971, 607, 3742, 6947, 267, 22371, 267, 2463, 267, 9355, 267, 6677, 529, 8864, 267, 7682, 4369, 267, 543, 2686, 8417, 630, 307, 2335, 523, 267, 476, 2735, 277, 282, 645, 1173, 1408, 320, 16644, 807, 653, 7236, 1299, 19162, 3205, 267, 476, 1220, 274, 282, 17659, 659, 1696, 620, 1421, 476, 1220, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 306, 822, 11803, 281, 4804, 1215, 547, 4004, 6510, 609, 20828, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 11137, 540, 519, 1576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 273, 269, 11957, 540, 2792, 1983, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 8080, 547, 938, 13858, 3460, 883, 519, 1158, 540, 4158, 5708, 256, 5620, 596, 2479, 1224, 513, 1650, 602, 1500, 707, 2295, 5198, 610, 5795, 596, 979, 846, 321, 7927, 286, 1403, 865, 267, 1287, 596, 4312, 2907, 4810, 930, 540, 519, 669, 1571, 543, 10761, 602, 2097, 609, 713, 4241, 9135, 269, 4653, 267, 649, 786, 4685, 4514, 883, 519, 7706, 540, 8941, 4904, 609, 24457, 267, 9814, 267, 543, 3006, 1256, 16897, 256, 1924, 10544, 707, 8755, 2775, 543, 1577, 781, 2263, 1927, 780, 5575, 267, 1018, 4010, 568, 834, 323, 1046, 5708, 22172, 898, 781, 513, 1826, 540, 3332, 602, 1419, 3568, 838, 809, 344, 2609, 971, 607, 15293, 338, 267, 28749, 267, 16750, 20825, 267, 610, 1175, 10750, 2025, 552, 24809, 5468, 269, 1809, 1810, 1405, 5855, 910, 621, 3884, 1405, 2141, 17559, 282, 3079, 267, 891, 2984, 616, 5921, 547, 18427, 2178, 4664, 543, 1832, 721, 593, 519, 6316, 540, 938, 16295, 269, 1358, 666, 849, 948, 721, 1589, 827, 1271, 4798, 899, 11505, 267, 22838, 267, 543, 875, 547, 3068, 938, 12194, 780, 4131, 803, 2995, 596, 827, 1614, 9159, 1568, 540, 4158, 5708, 602, 1522, 533, 1664, 707, 1719, 1384, 1262, 763, 1889, 14136, 676, 29871, 681, 2438, 5093, 5994, 1373, 12628, 1055, 593, 606, 9813, 4541, 1141, 1169, 2582, 1554, 6770, 1007, 12178, 30443, 6362, 1472, 1142, 7944, 269, 2334, 781, 10502, 1018, 4523, 547, 519, 1292, 1915, 267, 945, 1590, 6330, 998, 30217, 748, 1768, 23230, 1247, 8165, 14686, 7068, 269, 901, 3728, 19550, 7045, 2982, 721, 875, 8990, 543, 2656, 3206, 666, 4688, 519, 1554, 950, 5185, 609, 14488, 780, 1262, 26108, 337, 2313, 676, 21563, 534, 8055, 5093, 6884, 267, 8594, 2501, 711, 689, 9018, 2230, 855, 6251, 547, 1753, 269, 10552, 337, 2313, 6645, 519, 9661, 540, 8723, 1004, 10393, 1655, 15735, 609, 9058, 7060, 1107, 1152, 547, 1265, 2933, 22002, 676, 1346, 945, 1616, 741, 5759, 585, 683, 325, 13895, 5301, 269, 1306, 789, 6560, 1996, 3532, 14763, 267, 789, 1451, 3407, 4245, 827, 14017, 267, 3972, 267, 543, 7555, 909, 585, 1018, 781, 1318, 780, 1262, 291, 1737, 16011, 676, 918, 5861, 269, 11875, 3999, 5093, 5590, 538, 513, 2022, 268, 777, 32565, 1158, 936, 14725, 676, 1990, 4861, 625, 267, 16458, 16011, 5205, 513, 1895, 540, 15000, 3843, 547, 3251, 9800, 9624, 14784, 543, 9810, 269, 13966, 519, 1259, 267, 789, 3605, 6456, 9342, 1369, 2933, 543, 1106, 7554, 6793, 982, 1022, 3196, 12394, 547, 15237, 873, 6306, 269, 3414, 713, 17680, 6137, 1650, 267, 3988, 1995, 1312, 4250, 543, 4126, 267, 1565, 602, 2146, 543, 6043, 666, 20630, 1256, 519, 1034, 31837, 25236, 762, 9465, 780, 2026, 596, 5490, 2417, 883, 4158, 5708, 267, 3314, 602, 891, 2984, 4196, 607, 811, 982, 6071, 9913, 282, 789, 2709, 4030, 883, 1480, 2470, 543, 4161, 721, 547, 13720, 938, 1378, 32370, 269, 1656, 4352, 930, 2694, 949, 3100, 31029, 693, 1101, 16145, 267, 972, 781, 1100, 991, 547, 1745, 19531, 730, 269, 2991, 782, 267, 3695, 7164, 11182, 666, 1291, 547, 5863, 8906, 2439, 3086, 602, 596, 723, 513, 6492, 540, 1018, 4158, 5708, 814, 547, 2709, 267, 1946, 711, 4584, 835, 540, 891, 2835, 543, 1376, 2542, 286, 5808, 6487, 1018, 9035, 24098, 596, 3564, 519, 3817, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 547, 476, 1724, 281, 24079, 540, 14730, 11470, 630, 1410, 1356, 696, 689, 519, 1433, 264, 476, 18927, 18927, 476, 18927, 18927, 32465, 476, 273, 5990, 10933, 12813, 3198, 4953, 1635, 29871, 681, 2438, 476, 18927, 18927, 18927, 18927, 476, 18927, 476, 18927, 9982, 2807, 476, 273, 19154, 302, 7495, 305, 4785, 295, 1635, 21563, 534, 8055, 18927, 18927, 18927, 18927, 476, 18927, 476, 18927, 9982, 5541, 907, 476, 274, 5990, 631 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1556, 267, 476, 1708, 271, 4534, 5990, 808, 11246, 23360, 744, 7034, 2207, 23615, 267, 700, 5308, 4888, 294, 5085, 2464, 734, 5038, 273, 526, 5680, 3798, 269, 0, 23737, 609, 1806, 267, 519, 22524, 11163, 540, 6683, 543, 6080, 563, 763, 29436, 11897, 1598, 625, 723, 2016, 513, 2101, 5818, 547, 6683, 676, 8375, 922, 7607, 563, 268, 3397, 549, 2861, 6080, 5673, 593, 6683, 585, 6151, 2326, 563, 268, 24322, 6133, 741, 2472, 971, 607, 12555, 15450, 267, 6992, 23924, 267, 5521, 15969, 13851, 267, 5068, 543, 31668, 12992, 267, 6191, 543, 2645, 3092, 269, 547, 519, 6705, 563, 268, 4886, 543, 28211, 540, 5663, 2872, 814, 711, 1152, 19443, 6694, 1235, 538, 2810, 741, 2504, 855, 849, 1500, 519, 2504, 3157, 1360, 3608, 269, 0, 299, 3518, 7236, 267, 519, 17510, 2897, 540, 519, 7083, 17700, 454, 763, 17510, 2897, 540, 7083, 17700, 281, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 519, 7083, 17700, 267, 729, 4535, 538, 476, 277, 2537, 645, 5861, 269, 538, 519, 4583, 10651, 540, 700, 3518, 7236, 267, 799, 4166, 2968, 513, 1747, 540, 31145, 269, 7324, 519, 19623, 338, 729, 519, 4095, 17169, 12891, 24499, 267, 945, 25517, 835, 540, 1010, 16033, 894, 22225, 972, 269, 3767, 1373, 2919, 607, 513, 14418, 31145, 4099, 282, 1141, 519, 15456, 3788, 2404, 609, 519, 4332, 540, 519, 7083, 17700, 1106, 513, 3844, 4183, 563, 763, 15609, 8061, 328, 13527, 454, 763, 1292, 11454, 693, 700, 3518, 7236, 281, 282, 519, 15609, 8061, 328, 13527, 282, 568, 513, 3135, 282, 12926, 2808, 519, 4332, 2897, 540, 717, 2246, 4821, 17700, 269, 634, 11454, 6763, 11105, 547, 513, 10723, 7535, 1634, 607, 623, 639, 22894, 7236, 543, 513, 10723, 4677, 269, 634, 15456, 3788, 693, 519, 3135, 282, 941, 5892, 18584, 547, 519, 3791, 282, 2540, 14514, 15839, 5656, 9112, 676, 282, 519, 4095, 17169, 268, 12891, 24499, 269, 589, 15795, 7266, 340, 282, 14514, 16025, 695, 9068, 729, 282, 849, 4362, 538, 476, 1001, 274, 563, 328, 10627, 1117, 1354, 4758, 4332, 547, 519, 17700, 269, 29961, 1540, 1472, 519, 12406, 616, 519, 8297, 1441, 13210, 540, 513, 1297, 540, 15839, 23535, 553, 543, 20708, 625, 6580, 689, 519, 476, 273, 526, 2540, 7460, 547, 519, 476, 280, 628, 2540, 5084, 269, 18738, 519, 15609, 8061, 328, 13216, 282, 568, 513, 1507, 3338, 5115, 539, 4677, 1858, 602, 282, 5161, 540, 519, 15609, 8061, 328, 13527, 267, 513, 7535, 540, 1216, 282, 519, 12891, 758, 534, 30361, 543, 519, 10723, 26636, 6062, 3529, 563, 2467, 616, 12400, 18995, 1010, 4332, 3330, 519, 11454, 269, 634, 1699, 11454, 729, 3710, 282, 547, 2149, 519, 4587, 11454, 896, 621, 563, 763, 1306, 24499, 30346, 541, 454, 1607, 12891, 24499, 30346, 541, 568, 4092, 538, 700, 3518, 7236, 2673, 547, 519, 4095, 8473, 269, 898, 568, 835, 540, 1082, 6149, 22225, 3710, 676, 282, 519, 4095, 14890, 12891, 24499, 1282, 1010, 12081, 538, 519, 476, 274, 6113, 2540, 7460, 269, 4653, 282, 1152, 476, 866, 22225, 2611, 602, 723, 1202, 18587, 282, 1034, 540, 799, 616, 1336, 538, 3127, 269, 634, 835, 4092, 538, 700, 3518, 7236, 282, 6585, 513, 1880, 2956, 607, 621, 282, 568, 519, 9510, 30115, 1336, 538, 18310, 269, 898, 849, 29428, 12891, 24499, 282, 338, 3643, 547, 17700, 779, 4332, 2897, 1310, 646, 10736, 547, 13221, 563, 763, 12891, 758, 534, 30346, 541, 282, 538, 634, 17510, 2897, 540, 7083, 17700, 6763, 693, 476, 277, 300, 1299, 568, 1500, 689, 11909, 32498, 269, 634, 30361, 729, 4503, 282, 2394, 476, 6245, 277, 950, 513, 2319, 540, 13605, 2297, 324, 24085, 2699, 4593, 2642, 621, 269, 1548, 1522, 3100, 899, 1175, 513, 16033, 894, 30361, 676, 513, 1279, 4666, 3751, 2965, 814, 3833, 606, 6946, 13274, 720, 543, 3140, 7555, 563, 2026, 327, 24499, 729, 606, 4095, 14890, 945, 12199, 5176, 782, 540, 519, 4095, 1016, 9762, 5799, 269, 634, 3095, 609, 18310, 282, 568, 3535, 539, 1282, 519, 22266, 918, 2718, 320, 2112, 1141, 282, 936, 835, 4627, 8536, 540, 12891, 24499, 779, 10136, 5747, 269, 9122, 593, 2797, 543, 2804, 7269, 540, 519, 631, 4231, 534, 7276, 267, 519, 2112, 3323, 1991, 547, 519, 631, 4231, 534, 15913, 538, 3127, 269, 2201, 12891, 24499, 779, 476, 279, 628, 1032, 607, 4622, 267, 646, 1305, 827, 9518, 1359, 918, 2718, 320, 563, 7021, 476, 6110, 267, 1822, 540, 12891, 24499, 779, 7952, 4682, 1996, 936, 519, 476, 2568, 267, 1822, 918, 2718, 534, 7952, 538, 519, 2112, 269, 634, 25096, 8507, 538, 519, 2669, 540, 476, 1911, 267, 1822, 7980, 593, 12891, 24499, 779, 2427, 269, 634, 2112, 729, 22266, 267, 543, 8507, 538, 519, 4303, 320, 5211, 7432, 2699, 609, 1973, 269, 3683, 476, 1911, 298, 1004, 941, 282, 1244, 9285, 1739, 519, 2112, 269, 634, 918, 2718, 534, 2112, 3788, 835, 540, 519, 1034, 1271, 10617, 538, 1158, 1686, 563, 763, 22406, 4336, 540, 519, 1973, 338, 1117, 267, 799, 12891, 24499, 5156, 646, 729, 519, 2014, 540, 267, 19430, 1864, 547, 1246, 13221, 543, 25058, 519, 1964, 540, 1010, 1272, 547, 13259, 15501, 320, 630, 12061, 8686, 2723, 775, 264, 543, 547, 20144, 12609, 13305, 6359, 11535, 630, 341, 1112, 800, 998, 20144, 12609, 1916, 2026, 327, 24499, 8694, 519, 4108, 7269, 540, 519, 631, 4231, 534, 7276, 799, 4797, 593, 609, 5176, 476, 2412, 1296, 540, 3448, 4708, 543, 13884, 1310, 519, 2112, 269, 634, 631, 4231, 534, 15913, 16768, 15823, 811, 1296, 1310, 12891, 24499, 5747, 269, 2755, 1034, 540, 519, 12891, 24499, 779, 18517, 1131, 723, 20374, 883, 1686, 282, 5491, 568, 2016, 547, 1864, 585, 10916, 1454, 540, 1010, 1272, 269, 901, 3357, 538, 519, 1106, 540, 1082, 22225, 543, 536, 746, 619, 609, 1202, 18587, 2854, 5196, 873, 269, 12891, 24499, 1767, 282, 547, 723, 10272, 700, 3518, 7236, 1472, 476, 27149, 7460, 563, 763, 29042, 623, 1180, 454, 763, 10723, 11432, 1572, 623, 639, 22894, 7236, 568, 1141, 10828, 3081, 15609, 8061, 328, 10627, 1117, 1354, 4758, 4332, 269, 4438, 519, 1000, 559, 697, 543, 3735, 1256, 902, 267, 519, 11432, 3947, 1055, 513, 8799, 8086, 540, 519, 15609, 8061, 328, 13527, 267, 1818, 621, 1413, 552, 1492, 9418, 538, 519, 3909, 5605, 4800, 563, 763, 25587, 26636, 6062, 10326, 454, 12234, 972, 616, 519, 14155, 730, 3788, 540, 14418, 642, 8811, 31730, 630, 3000, 2120, 625, 264, 540, 519, 476, 274, 6113, 2540, 7460, 547, 519, 476, 276, 628, 2540, 5084, 543, 519, 3788, 540, 14418, 23535, 553, 630, 332, 655, 3645, 695, 21218, 264, 689, 519, 476, 274, 6113, 2540, 7460, 547, 519, 476, 1428, 628, 2540, 5084, 269, 1141, 519, 15456, 3788, 2404, 609, 519, 4332, 540, 7083, 17700, 1106, 513, 3844, 4183, 563, 763, 15456, 3788, 540, 519, 14418, 642, 8811, 31730, 630, 3000, 2120, 625, 264, 543, 23535, 553, 630, 332, 655, 3645, 695, 21218, 264, 689, 519, 476, 274, 6113, 2540, 7460, 547, 519, 476, 1428, 628, 2540, 5084, 267, 1683, 1271, 2963, 827, 519, 2470, 540, 14418, 31145, 7740, 689, 513, 1360, 2038, 1974, 538, 700, 3518, 7236, 563, 763, 17280, 7997, 3947, 519, 3959, 513, 2417, 4494, 540, 4027, 563, 26589, 609, 602, 267, 972, 568, 849, 519, 4469, 877, 540, 661, 4156, 13458, 269, 634, 18723, 814, 1044, 8781, 2094, 476, 2735, 277, 563, 12749, 476, 1015, 5013, 827, 634, 17510, 2897, 540, 7083, 17700, 454, 268, 700, 3518, 7236, 1282, 519, 4332, 540, 7083, 17700, 630, 277, 2537, 7460, 5148, 12984, 513, 4190, 4677, 799, 729, 282, 4122, 9738, 676, 519, 590, 752, 5984, 540, 29518, 559, 341, 770, 340, 282, 543, 25391, 1176, 320, 540, 8061, 611, 21036, 454, 268, 2991, 519, 2669, 540, 519, 17700, 267, 519, 4190, 4677, 540, 700, 3518, 7236, 4957, 883, 513, 1747, 540, 31145, 454, 268, 14890, 1306, 24499, 1500, 513, 9576, 15815, 15317, 720, 547, 519, 4332, 2897, 540, 519, 7083, 17700, 267, 700, 3518, 7236, 538, 476, 27149, 7460, 269, 3371, 646, 26902, 5792, 519, 4332, 1606, 13607, 540, 519, 17700, 543, 2451, 3297, 1082, 20375, 547, 29608, 519, 20144, 10397, 269, 1306, 24499, 25517, 519, 30361, 609, 606, 30115, 547, 29428, 1010, 3643, 563, 268, 700, 3518, 7236, 282, 5620, 2699, 4593, 2642, 538, 476, 272, 560, 5412, 476, 6245, 277, 676, 3220, 282, 674, 7795, 17243, 630, 23389, 264, 543, 10609, 611, 8615, 1744, 4548, 615, 681, 3570, 630, 320, 13605, 8932, 16159, 1040, 1358, 14155, 730, 519, 700, 3518, 7236, 544, 895, 543, 6534, 519, 1306, 24499, 30346, 541, 543, 4362, 4583, 30115, 4304, 519, 17510, 2897, 540, 519, 590, 21294, 600, 27376, 17700, 538, 700, 3518, 7236, 454, 268, 769, 476, 4350, 274, 268, 4375, 4937, 918, 525, 615, 1744, 4548, 615, 5342, 513, 2101, 26995, 693, 700, 3518, 7236, 269, 1261, 6534, 3889, 676, 5667, 2615, 881, 2409, 602, 8507, 538, 519, 1390, 3441, 547, 519, 3135, 269, 1261, 23762, 519, 590, 752, 5984, 7535, 609, 513, 3126, 540, 3268, 543, 513, 15839, 15943, 563, 763, 17510, 2897, 540, 7083, 17700, 454, 277, 269, 2201, 519, 8317, 540, 519, 476, 275, 628, 4937, 10985, 540, 634, 2622, 26665, 23050, 540, 6844, 327, 1235, 4371, 538, 22186, 332, 663, 340, 538, 476, 4198, 277, 269, 634, 5171, 5433, 519, 23473, 540, 519, 991, 547, 11177, 519, 29042, 4677, 540, 634, 17510, 2897, 540, 7083, 17700, 563, 278, 269, 634, 3486, 12233, 282, 585, 519, 1646, 540, 700, 3518, 7236, 729, 282, 4646, 538, 1715, 3840, 538, 476, 3192, 271, 269, 634, 12233, 13752, 5077, 3599, 547, 1374, 513, 9457, 1544, 585, 700, 3518, 7236, 547, 519, 1158, 3146, 11471, 4056, 4515, 269, 8230, 15605, 570, 1052, 689, 3567, 563, 279, 269, 769, 476, 1960, 278, 282, 700, 3518, 7236, 282, 729, 7396, 538, 519, 1592, 540, 1158, 282, 338, 6561, 4609, 563, 280, 269, 6969, 646, 5293, 2476, 538, 918, 639, 514, 4673, 267, 7083, 17700, 1767, 282, 901, 630, 299, 3518, 7236, 264, 1747, 568, 1141, 519, 570, 987, 698, 1092, 729, 4535, 282, 713, 568, 513, 1747, 799, 1058, 581, 282, 10272, 543, 2938, 676, 513, 1268, 2348, 5132, 282, 20174, 543, 11009, 799, 1131, 2014, 519, 4656, 543, 31536, 633, 2470, 540, 6650, 2006, 775, 3034, 1015, 269, 4653, 19623, 338, 543, 8436, 689, 782, 936, 519, 1158, 2097, 547, 700, 3518, 7236, 267, 519, 15851, 1747, 1141, 3504, 20375, 1665, 519, 13597, 540, 519, 4332, 2897, 563, 763, 4033, 29042, 26317, 540, 519, 7083, 17700, 454, 268, 589, 264, 590, 1342, 9618, 15925, 717, 2246, 600, 630, 299, 867, 17700, 264, 729, 4535, 538, 700, 3518, 7236, 563, 268, 645, 264, 2311, 519, 2085, 540, 476, 3066, 267, 646, 3576, 519, 1390, 15646, 10586, 454, 268, 595, 264, 2311, 519, 2085, 540, 476, 3374, 282, 646, 729, 282, 24084, 2989, 538, 26636, 327, 326, 11535, 454, 268, 667, 264, 1261, 840, 3737, 585, 519, 1101, 942, 693, 7203, 333, 987, 454, 268, 661, 264, 1656, 693, 519, 2085, 540, 476, 3199, 267, 646, 5293, 2476, 538, 918, 639, 514, 4673, 269, 0, 2467, 568, 606, 10167, 540, 1079, 1292, 9897, 593, 519, 5045, 2427, 540, 1398, 639, 267, 11908, 267, 713, 1507, 4884, 1141, 519, 1158, 779, 10097, 8027, 3350, 3459, 543, 1141, 634, 9509, 518, 4741, 585, 24184, 568, 2212, 32483, 1229, 269, 634, 10754, 693, 519, 10167, 7703, 519, 4408, 540, 1079, 1390, 4168, 3401, 2443, 9410, 13162, 3751, 12789, 269, 543, 7085, 731, 9509, 518, 563, 763, 9509, 518, 4741, 779, 2241, 13646, 616, 24428, 693, 476, 3583, 272, 590, 269, 9410, 13162, 3751, 12789, 269, 25376, 4582, 731, 267, 827, 513, 13304, 689, 519, 10167, 269, 898, 729, 476, 2004, 1296, 3516, 2221, 602, 649, 4503, 3220, 269, 3751, 547, 606, 18272, 514, 779, 16886, 538, 6490, 874, 529, 267, 17906, 269, 4653, 267, 938, 2232, 1934, 593, 519, 19814, 3957, 1310, 513, 812, 945, 6131, 1010, 1272, 547, 1318, 532, 17536, 1182, 543, 16779, 1689, 998, 5462, 32593, 550, 17933, 568, 3226, 1713, 563, 7804, 269, 3751, 6785, 602, 519, 6406, 7126, 11873, 693, 922, 4295, 729, 513, 6371, 268, 23085, 3350, 543, 729, 519, 1101, 547, 5491, 519, 2367, 543, 2021, 540, 782, 14797, 543, 10080, 585, 1818, 1689, 2009, 269, 1284, 267, 1932, 267, 616, 2679, 513, 1732, 1158, 676, 8380, 5132, 883, 2962, 609, 6371, 268, 23085, 3741, 543, 6131, 18793, 945, 2285, 741, 942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 769, 513, 14297, 2749, 2407, 540, 26009, 5656, 543, 6505, 8279, 5030, 513, 1895, 540, 7874, 11608, 3957, 7605, 334, 293, 12188, 269, 3962, 7605, 334, 293, 5987, 1185, 513, 2027, 2816, 910, 930, 5280, 3425, 3444, 519, 8265, 267, 1247, 1866, 5280, 2973, 909, 17885, 269, 7324, 891, 5363, 536, 1824, 729, 1520, 320, 267, 513, 13085, 8773, 27732, 945, 1500, 2386, 1200, 2828, 941, 2141, 2922, 543, 5150, 269, 2701, 1705, 713, 676, 9013, 799, 2127, 540, 519, 2749, 1142, 7762, 1223, 4283, 543, 1018, 4247, 789, 1223, 1685, 269, 901, 729, 1572, 834, 10461, 1436, 3010, 3080, 1554, 267, 1520, 320, 1558, 5981, 267, 1776, 8773, 4274, 945, 4280, 267, 834, 3849, 320, 267, 950, 2870, 1007, 7605, 334, 293, 12188, 267, 875, 798, 596, 6430, 799, 1826, 540, 28431, 547, 946, 8119, 1520, 320, 14452, 267, 834, 11039, 267, 1101, 649, 2015, 519, 2450, 540, 938, 8773, 12284, 267, 741, 6009, 267, 543, 519, 3106, 3652, 269, 1403, 649, 1152, 991, 2241, 3652, 267, 10020, 15369, 7457, 6513, 630, 305, 289, 3722, 264, 1568, 1655, 269, 898, 2516, 2147, 536, 1824, 1927, 543, 5036, 27704, 4470, 593, 741, 5107, 269, 1809, 267, 952, 1169, 7762, 2115, 2189, 3652, 1813, 547, 1950, 11645, 267, 5900, 25572, 15369, 7457, 6513, 630, 5723, 3722, 264, 13352, 1732, 15323, 20694, 1287, 9289, 16965, 267, 834, 1432, 4523, 950, 1978, 2694, 540, 4884, 1831, 1055, 29438, 1080, 1282, 18002, 286, 1215, 786, 707, 1062, 3082, 3533, 8119, 3911, 4979, 18390, 267, 1520, 320, 6045, 267, 834, 6546, 781, 950, 8889, 15369, 7457, 6513, 630, 303, 289, 3722, 264, 2501, 538, 13561, 256, 1284, 1711, 8465, 4507, 602, 1689, 29858, 2687, 547, 3871, 267, 5329, 3025, 8242, 543, 5150, 1510, 14443, 532, 1271, 4247, 3010, 10501, 1190, 267, 5981, 20402, 267, 834, 5970, 596, 2479, 6836, 4376, 9058, 547, 1118, 707, 1062, 1256, 10930, 8119, 2060, 11348, 575, 548, 5446, 267, 1520, 320, 3838, 267, 834, 8133, 256, 4495, 267, 594, 2919, 8682, 6441, 792, 940, 8191, 1436, 267, 799, 2090, 3270, 936, 942, 543, 2306, 5100, 3664, 8238, 558, 3585, 267, 5355, 3210, 2053, 543, 4227, 6959, 15323, 4913, 267, 1945, 6397, 5949, 282, 1582, 19543, 3366, 547, 20437, 2623, 269, 2368, 7605, 334, 293, 12188, 8694, 909, 4543, 2933, 547, 3063, 6007, 1379, 267, 6028, 9039, 585, 1866, 269, 2755, 519, 5647, 4769, 1405, 2490, 856, 9985, 267, 519, 1995, 6026, 1312, 4966, 3407, 4245, 827, 13326, 12957, 543, 3589, 1464, 269, 1306, 789, 14478, 519, 23863, 12544, 4190, 11100, 540, 4778, 4611, 689, 3047, 781, 5790, 22502, 7943, 9789, 344, 6785, 2104, 9283, 19179, 1243, 267, 9256, 2257, 267, 16542, 267, 543, 5876, 547, 1628, 6793, 267, 5923, 518, 7605, 334, 293, 12188, 19736, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2026, 513, 1547, 25892, 595, 258, 4056, 945, 24870, 538, 1585, 3029, 540, 28431, 267, 1519, 681, 289, 3722, 267, 9474, 3722, 267, 623, 289, 3722, 267, 543, 1866, 267, 707, 6791, 11498, 547, 8888, 543, 7598, 5150, 1949, 602, 17997, 1569, 1852, 4507, 1759, 593, 513, 3593, 781, 1909, 267, 10305, 267, 610, 824, 21876, 269, 594, 1131, 899, 596, 547, 14969, 593, 875, 596, 3442, 519, 1034, 3617, 28431, 2203, 585, 1142, 1062, 596, 960, 593, 267, 2921, 883, 7156, 2188, 971, 607, 519, 9588, 540, 519, 3593, 3490, 267, 519, 5704, 2329, 540, 519, 1569, 1852, 4170, 267, 543, 519, 2956, 540, 519, 1239, 1373, 9580, 12023, 269, 7490, 1683, 1808, 1806, 540, 875, 596, 723, 6964, 1114, 28431, 3631, 538, 519, 2250, 543, 519, 4093, 789, 723, 3812, 269, 3958, 267, 666, 596, 1163, 895, 593, 1022, 5499, 4485, 596, 723, 3144, 547, 3986, 519, 3354, 543, 10727, 540, 519, 1949, 596, 723, 5249, 593, 888, 2026, 513, 1547, 25892, 595, 258, 4056, 945, 24870, 538, 28431, 267, 594, 723, 2097, 2066, 1114, 1949, 602, 2154, 8795, 2157, 540, 1569, 1852, 1135, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 769, 519, 2220, 601, 18146, 3002, 540, 519, 12266, 9390, 267, 513, 2138, 2917, 12284, 540, 24085, 10356, 1472, 606, 796, 817, 11167, 13675, 547, 513, 1279, 16519, 326, 13516, 19772, 269, 27439, 676, 519, 16529, 1870, 2006, 267, 26304, 2776, 8725, 267, 543, 22644, 539, 10196, 267, 11184, 29092, 9546, 6577, 267, 789, 941, 593, 519, 1490, 1074, 540, 796, 792, 2251, 11580, 6456, 585, 27453, 269, 9741, 1705, 789, 917, 267, 891, 11580, 1131, 1689, 741, 2729, 11014, 780, 2026, 789, 5887, 3293, 4514, 883, 519, 19772, 267, 26866, 619, 689, 513, 2199, 16170, 537, 514, 3957, 670, 11047, 573, 16079, 539, 538, 741, 8186, 269, 834, 11514, 27920, 519, 4666, 2437, 646, 1185, 19230, 267, 834, 663, 596, 786, 7985, 1701, 1809, 519, 561, 675, 540, 21239, 543, 19539, 9863, 1932, 2178, 585, 2776, 8725, 543, 11184, 29092, 267, 945, 20399, 593, 5103, 519, 522, 2381, 748, 9963, 780, 11900, 728, 519, 19772, 2482, 519, 544, 17026, 1881, 3788, 540, 519, 7911, 31279, 267, 918, 1695, 268, 2414, 5174, 5674, 267, 20386, 538, 513, 10723, 695, 9613, 24224, 609, 3504, 9246, 30735, 923, 269, 22695, 1681, 519, 21855, 31960, 538, 6149, 267, 2776, 8725, 10288, 519, 8851, 540, 519, 13742, 267, 11235, 547, 3409, 873, 585, 5128, 269, 898, 7012, 1405, 2394, 2663, 602, 3781, 267, 1247, 4974, 519, 695, 9613, 267, 602, 11184, 29092, 5433, 513, 8325, 1928, 538, 1010, 1688, 1765, 515, 1185, 1044, 3787, 1084, 676, 513, 9006, 10535, 13131, 15720, 1369, 519, 5958, 780, 305, 5241, 1394, 547, 10340, 267, 11184, 29092, 7522, 569, 23012, 2669, 267, 1152, 547, 1265, 5128, 8149, 547, 606, 1202, 2033, 28357, 676, 9039, 824, 982, 2776, 8725, 269, 2060, 11184, 29092, 856, 540, 519, 4605, 267, 2776, 8725, 25868, 1852, 540, 519, 26995, 3135, 543, 556, 9464, 782, 519, 934, 565, 3547, 269, 1717, 267, 519, 21687, 16782, 4547, 1864, 1100, 7772, 282, 3079, 267, 646, 5185, 3586, 3983, 9939, 543, 3765, 325, 28232, 269, 11531, 267, 11184, 29092, 3459, 547, 22919, 1010, 7254, 640, 267, 20807, 539, 676, 9909, 540, 918, 1695, 268, 2414, 5174, 5674, 5275, 642, 3188, 766, 585, 23892, 1010, 3803, 16889, 1747, 780, 3080, 1554, 267, 2776, 8725, 4607, 2262, 689, 519, 3703, 7467, 602, 789, 15189, 547, 6718, 1022, 3688, 5532, 547, 11184, 29092, 781, 4681, 1813, 547, 4145, 936, 1225, 4513, 543, 28302, 4123, 269, 2677, 704, 622, 547, 9258, 1010, 6830, 17480, 267, 2776, 8725, 8179, 856, 11184, 29092, 267, 15691, 547, 2132, 519, 21687, 16782, 538, 5385, 585, 25863, 269, 1677, 1010, 9983, 267, 11184, 29092, 8815, 267, 23344, 19385, 14688, 269, 8625, 267, 789, 8120, 519, 10723, 695, 9613, 543, 13742, 547, 519, 19772, 267, 5356, 513, 25442, 3284, 1108, 547, 918, 1695, 268, 2414, 5174, 5674, 780, 5804, 602, 4090, 593, 267, 2776, 8725, 781, 1272, 4957, 13497, 269, 6153, 19539, 20493, 2390, 1864, 2899, 811, 267, 543, 1010, 10639, 7444, 16626, 269, 1306, 585, 11184, 29092, 267, 646, 759, 25390, 1010, 3621, 18697, 267, 11014, 3467, 13533, 540, 519, 2956, 540, 18245, 2686, 6561, 543, 519, 1379, 540, 25903, 269, 1656, 865, 267, 1079, 2367, 4121, 3407, 4245, 538, 21548, 267, 5539, 267, 543, 6568, 267, 18445, 602, 3006, 267, 621, 3217, 9561, 3388, 547, 1174, 1018, 5963, 6927, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 13640, 4588, 281, 634, 631, 16244, 1412, 338, 1744, 9613, 568, 1305, 538, 476, 4572, 271, 543, 6645, 519, 1650, 540, 513, 2319, 540, 24085, 945, 2097, 2066, 519, 4503, 19772, 540, 519, 7911, 31279, 918, 1695, 268, 2414, 5174, 5674, 1547, 634, 1650, 5956, 609, 513, 8755, 1394, 5311, 547, 9147, 5527, 543, 649, 1294, 519, 1650, 540, 875, 20031, 2073, 513, 544, 753, 969, 656, 540, 918, 1695, 268, 2414, 5174, 5674, 2073, 3303, 1243, 2476, 519, 7911, 950, 1010, 4651, 729, 7166, 538, 513, 19289, 19420, 543, 3576, 1864, 883, 519, 9390, 585, 4027, 1547, 10251, 2073, 519, 7911, 10523, 543, 568, 12617, 1547, 634, 1650, 1287, 7575, 4464, 547, 476, 4572, 271, 543, 2982, 519, 16939, 3366, 676, 10196, 11184, 29092, 9546, 6577, 543, 1870, 812, 26304, 2776, 8725, 4466, 519, 19772, 1547, 1358, 11716, 519, 25680, 9963, 9783, 547, 873, 676, 670, 11047, 573, 2073, 513, 2199, 16170, 537, 514, 827, 519, 4539, 585, 1346, 602, 29875, 519, 9723, 2125, 540, 9147, 5527, 543, 4894, 519, 4703, 543, 519, 10723, 695, 9613, 1547, 11184, 29092, 568, 3787, 1084, 676, 513, 13131, 1175, 1310, 4466, 519, 19772, 1547, 1261, 973, 13569, 2073, 855, 814, 513, 26739, 1310, 21945, 1394, 538, 595, 23879, 1547, 2776, 8725, 3217, 5413, 540, 713, 543, 862, 1080, 1864, 547, 606, 1202, 2033, 28357, 2073, 547, 1491, 5491, 585, 4466, 555, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6341, 13183, 320, 2893, 693, 1200, 10051, 3349, 267, 31325, 10145, 569, 693, 519, 10518, 540, 13875, 3262, 856, 1354, 1200, 269, 2701, 1185, 2141, 26927, 3139, 540, 2469, 1394, 547, 1153, 547, 7118, 1200, 12314, 4110, 267, 855, 1352, 2760, 2219, 621, 1131, 2097, 547, 713, 910, 521, 5417, 1194, 609, 7963, 1354, 1352, 1256, 3459, 269, 4173, 11263, 14360, 519, 8728, 540, 519, 17158, 525, 5627, 2875, 10211, 3091, 2394, 789, 15354, 593, 835, 689, 4279, 20463, 12409, 10753, 534, 7896, 269, 2701, 521, 19042, 8185, 267, 751, 2130, 1930, 519, 23508, 543, 17655, 519, 9115, 780, 2026, 1352, 1224, 998, 519, 1957, 1740, 267, 1352, 7948, 1405, 948, 855, 4898, 952, 2921, 856, 891, 12029, 729, 519, 1318, 3375, 269, 14348, 519, 5092, 538, 9887, 5963, 1291, 547, 3152, 3255, 1524, 519, 4155, 267, 610, 1131, 1352, 1439, 909, 546, 20621, 538, 7963, 1510, 1022, 4126, 540, 23231, 618, 286, 1452, 2055, 26693, 5230, 593, 1200, 2247, 607, 1352, 13603, 909, 1200, 6049, 547, 1289, 1200, 2883, 25129, 267, 24981, 780, 257, 20756, 6341, 2437, 30870, 24981, 27145, 607, 1352, 12943, 519, 1289, 269, 834, 1432, 781, 1044, 2469, 593, 12482, 21579, 11688, 18469, 267, 11018, 1200, 4555, 1354, 6368, 6998, 267, 834, 296, 3893, 930, 2875, 10211, 3091, 538, 519, 13875, 2221, 267, 543, 594, 4941, 547, 2911, 827, 873, 609, 596, 3010, 305, 659, 3559, 19557, 32348, 607, 6341, 4330, 519, 1585, 1719, 3928, 6035, 676, 519, 1114, 32225, 269, 1358, 5941, 519, 5294, 543, 931, 540, 1312, 5313, 543, 4357, 12029, 267, 2519, 5097, 593, 519, 8795, 1719, 3928, 543, 875, 789, 1223, 1764, 6341, 781, 2104, 18083, 780, 7628, 741, 6643, 267, 6341, 5018, 267, 834, 3080, 2709, 20926, 803, 606, 1719, 2557, 540, 1472, 476, 275, 260, 282, 1776, 835, 4682, 782, 519, 1259, 909, 547, 3592, 476, 1626, 10065, 1215, 993, 594, 9277, 547, 1118, 2631, 540, 782, 891, 2338, 267, 681, 778, 12482, 305, 659, 3559, 26003, 1242, 609, 6341, 267, 14344, 519, 14845, 2470, 540, 2875, 10211, 3822, 543, 16166, 269, 8625, 267, 789, 1642, 1386, 4514, 883, 519, 1888, 267, 3695, 519, 6286, 540, 1164, 29027, 3928, 543, 519, 1761, 11411, 540, 1279, 3856, 7963, 780, 9961, 741, 4901, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6097, 547, 519, 9098, 4972, 540, 4065, 281, 834, 12626, 607, 513, 5822, 5678, 630, 2464, 299, 264, 3292, 616, 2966, 547, 4217, 1053, 538, 14379, 3927, 538, 2296, 267, 1312, 538, 543, 856, 540, 1153, 563, 288, 1297, 540, 2200, 543, 2533, 616, 2139, 547, 3506, 547, 948, 3908, 2296, 21295, 630, 4041, 303, 264, 1053, 6542, 741, 2702, 547, 1174, 267, 1224, 543, 2328, 2296, 538, 1931, 547, 1599, 543, 581, 3811, 538, 1153, 543, 538, 1977, 2486, 1701, 9098, 1546, 696, 269, 4065, 454, 1103, 519, 3557, 540, 5164, 580, 27091, 267, 2296, 607, 513, 5822, 5678, 630, 2464, 299, 264, 3610, 267, 1683, 585, 519, 1053, 2296, 5678, 22996, 630, 21822, 264, 1569, 547, 519, 1646, 540, 4081, 1893, 3842, 519, 2622, 4147, 19019, 5071, 543, 10495, 630, 310, 2839, 288, 264, 17563, 540, 3450, 269, 2755, 713, 5943, 2337, 9098, 3610, 540, 782, 1543, 547, 1174, 519, 3339, 1184, 585, 11601, 540, 7463, 267, 543, 538, 713, 2013, 4081, 267, 1893, 269, 654, 2839, 288, 19534, 454, 1607, 4832, 649, 2813, 513, 530, 5942, 602, 8942, 547, 1683, 1082, 3029, 267, 2200, 267, 543, 23793, 585, 938, 3237, 540, 26613, 521, 512, 644, 757, 269, 7490, 946, 519, 1739, 3095, 547, 979, 547, 519, 3896, 281, 5291, 2517, 25900, 1186, 525, 331, 28947, 9884, 1731, 7371, 2167, 2593, 13045, 21841, 6665, 528, 540, 7335, 270, 12626, 0, 8005, 2052, 2142, 8241, 888, 25583, 476, 275, 3778, 10312, 454, 7072, 547, 5808, 2052, 2142, 8241, 286, 1103, 713, 9074, 1053, 2263, 8241, 2229, 4507, 11341, 547, 11776, 543, 15114, 2094, 8241, 18966, 267, 609, 1880, 1445, 593, 519, 6519, 5245, 3609, 267, 519, 2126, 540, 4961, 693, 1114, 2053, 2429, 519, 2063, 2540, 543, 875, 891, 2853, 3337, 4507, 543, 2486, 2221, 269, 2353, 2238, 538, 713, 9074, 616, 13988, 547, 519, 8241, 15099, 281, 3778, 267, 13012, 476, 280, 543, 476, 1015, 269, 630, 12812, 1934, 547, 1294, 519, 15099, 25103, 264, 634, 9074, 6212, 593, 3384, 17685, 8590, 1620, 998, 519, 1739, 1565, 6859, 269, 4841, 786, 912, 268, 13760, 519, 8404, 585, 543, 1764, 540, 25641, 2229, 4507, 538, 519, 2250, 454, 268, 5927, 987, 1047, 609, 1004, 543, 741, 2984, 267, 3226, 1346, 945, 723, 1044, 9601, 540, 7292, 267, 2686, 610, 3909, 7130, 454, 268, 6333, 519, 6988, 540, 5784, 543, 8369, 1472, 11776, 543, 15114, 2221, 454, 268, 3763, 543, 2992, 2390, 741, 1378, 4555, 543, 4606, 3823, 7130, 267, 11776, 543, 15114, 454, 268, 11314, 476, 272, 281, 6519, 5245, 454, 268, 11314, 476, 273, 281, 634, 22893, 1222, 28567, 454, 268, 11314, 476, 274, 281, 589, 1261, 730, 13891, 622, 454, 12244, 476, 272, 281, 6519, 5245, 1103, 713, 2534, 1053, 20272, 3140, 2707, 1570, 547, 2263, 519, 4128, 585, 543, 6388, 540, 519, 6519, 5245, 3609, 538, 476, 5002, 272, 269, 1358, 2015, 519, 9371, 602, 713, 3609, 814, 1185, 593, 5245, 269, 2368, 540, 519, 5784, 543, 1893, 6829, 538, 519, 8978, 2959, 8268, 538, 713, 2534, 616, 25641, 543, 949, 2014, 1055, 775, 610, 11605, 585, 930, 1053, 269, 5516, 1058, 581, 3144, 547, 13865, 1047, 519, 8978, 5380, 585, 707, 1053, 269, 1411, 949, 1265, 519, 32695, 827, 1543, 1190, 2152, 3391, 513, 3730, 4704, 2429, 713, 9074, 563, 4504, 1238, 2563, 11314, 2443, 5510, 1467, 16485, 1053, 547, 946, 519, 6056, 30449, 9523, 4640, 547, 1865, 519, 1739, 2243, 281, 1684, 596, 1589, 1412, 19009, 262, 1004, 616, 3462, 3042, 538, 5245, 2221, 286, 4841, 1058, 581, 2016, 942, 547, 1589, 827, 519, 2243, 1354, 30010, 609, 1776, 2875, 547, 2671, 741, 4555, 563, 15697, 11314, 6524, 862, 9760, 713, 2534, 267, 5432, 1047, 707, 1053, 609, 875, 547, 6330, 998, 519, 3896, 269, 3487, 589, 281, 6519, 5245, 454, 1103, 3487, 589, 1053, 2263, 8456, 538, 5245, 693, 519, 942, 519, 6519, 5245, 3609, 729, 5189, 269, 4841, 20272, 519, 2796, 543, 1543, 540, 2185, 3140, 2959, 609, 519, 948, 540, 8086, 2055, 269, 1358, 1287, 2992, 593, 519, 2185, 2959, 547, 1683, 2854, 4267, 547, 1079, 2055, 267, 799, 1445, 593, 519, 8456, 693, 519, 942, 269, 3487, 645, 281, 634, 26790, 10163, 9689, 2920, 454, 10743, 6432, 547, 513, 5542, 540, 8301, 6119, 602, 616, 32461, 689, 25931, 9840, 827, 519, 4367, 540, 519, 26790, 10163, 9689, 2920, 538, 476, 5002, 272, 269, 4841, 616, 4280, 547, 1592, 7440, 585, 543, 1996, 519, 6519, 5245, 3609, 1759, 593, 1018, 789, 723, 4862, 538, 519, 8301, 2959, 269, 3487, 595, 281, 667, 1112, 566, 1449, 454, 10743, 616, 13934, 547, 3801, 606, 4890, 4528, 540, 519, 9598, 566, 1449, 267, 799, 729, 1031, 607, 513, 1797, 540, 30191, 519, 6519, 5245, 3609, 269, 1358, 616, 2693, 547, 3111, 538, 741, 3801, 256, 1323, 8301, 10916, 540, 519, 9598, 566, 666, 581, 5129, 267, 543, 1053, 616, 4280, 547, 1826, 610, 2328, 741, 3801, 269, 4841, 1058, 711, 23249, 519, 8301, 3758, 267, 855, 3801, 547, 2347, 519, 1449, 538, 835, 979, 563, 3519, 6984, 11314, 2443, 5510, 1467, 28097, 519, 1739, 2055, 609, 707, 1053, 912, 268, 1215, 798, 596, 1745, 827, 5245, 779, 6519, 5245, 3609, 888, 268, 1548, 798, 596, 1589, 12592, 713, 3609, 693, 519, 942, 888, 268, 4208, 729, 513, 9598, 566, 1449, 1031, 607, 519, 1797, 540, 30191, 713, 3609, 888, 268, 1215, 798, 596, 1589, 621, 5433, 547, 581, 513, 2048, 12061, 22554, 685, 2713, 538, 5245, 693, 713, 942, 888, 268, 5620, 8456, 4957, 2094, 476, 5002, 272, 286, 769, 1018, 2081, 286, 1548, 2188, 798, 596, 1589, 3361, 713, 1689, 888, 268, 1548, 267, 952, 1022, 267, 568, 519, 9371, 540, 519, 6519, 5245, 3609, 2221, 888, 12244, 476, 273, 281, 634, 22893, 1222, 28567, 1103, 713, 2534, 1053, 2263, 519, 2924, 543, 9021, 540, 8241, 22893, 1222, 543, 1412, 13449, 262, 930, 2665, 689, 519, 2250, 602, 9305, 547, 15114, 269, 4841, 6430, 952, 789, 1589, 519, 2043, 3238, 941, 5701, 9425, 676, 519, 6608, 540, 519, 1554, 563, 4504, 1238, 2563, 11314, 2443, 5510, 1467, 2026, 513, 1362, 267, 2307, 1053, 547, 1711, 513, 1592, 540, 519, 2924, 543, 9021, 540, 8241, 22893, 1222, 269, 3550, 602, 519, 1592, 6227, 519, 1739, 2924, 543, 9021, 269, 8241, 22893, 723, 519, 1318, 547, 912, 268, 8917, 543, 3343, 9550, 547, 14618, 454, 268, 4019, 585, 513, 1780, 1636, 543, 3343, 20320, 948, 950, 18246, 454, 268, 11578, 741, 1453, 607, 22893, 454, 268, 960, 538, 519, 8241, 4347, 775, 17086, 543, 8241, 5398, 6796, 454, 268, 23491, 4031, 454, 268, 18934, 543, 8917, 454, 268, 4196, 593, 513, 21139, 454, 268, 9718, 5245, 1058, 991, 8451, 454, 15697, 11314, 8512, 589, 281, 7046, 519, 22893, 1222, 28567, 454, 10743, 2263, 2947, 3140, 2665, 11341, 547, 8241, 22893, 1222, 676, 3695, 3140, 2959, 269, 4841, 2626, 1079, 2055, 827, 1142, 2013, 282, 1101, 569, 9034, 2358, 741, 1620, 540, 519, 2013, 543, 1287, 10452, 593, 741, 1378, 4555, 543, 4606, 269, 3487, 645, 281, 6875, 519, 3542, 454, 10743, 2557, 875, 9425, 789, 1589, 2229, 17411, 1142, 540, 519, 2665, 563, 3519, 6984, 11314, 2443, 5510, 1467, 24718, 543, 1865, 519, 2875, 16863, 540, 1142, 22893, 1222, 28567, 2013, 269, 7726, 1053, 547, 2721, 856, 741, 4128, 585, 12773, 1142, 2013, 607, 789, 1705, 563, 12244, 476, 274, 281, 589, 1261, 730, 13891, 622, 454, 1103, 713, 2534, 1053, 1413, 693, 519, 9244, 4371, 543, 1419, 18312, 5784, 602, 26880, 3180, 827, 11776, 267, 15114, 543, 2551, 1135, 1182, 2221, 269, 1358, 2015, 519, 8978, 2796, 540, 891, 2152, 563, 4504, 1238, 2563, 11314, 2443, 5510, 1467, 28097, 519, 1739, 2055, 609, 707, 1053, 912, 268, 4208, 616, 2152, 827, 11776, 267, 15114, 543, 2551, 1869, 865, 12699, 2221, 888, 268, 1548, 1909, 1281, 798, 6608, 1404, 538, 713, 7521, 888, 268, 1548, 1909, 798, 25211, 2516, 1404, 888, 15697, 11314, 8512, 589, 281, 589, 12699, 7521, 454, 10743, 4585, 513, 2110, 3381, 1141, 2947, 2818, 540, 519, 8549, 12057, 2992, 593, 5245, 781, 9687, 4507, 538, 2543, 547, 11776, 543, 15114, 543, 8241, 2486, 2221, 269, 10743, 1287, 2263, 519, 1114, 5784, 26880, 3180, 827, 11776, 543, 15114, 676, 11836, 513, 14070, 25211, 1895, 269, 1411, 786, 991, 547, 7941, 707, 1053, 883, 3670, 2516, 630, 528, 3082, 547, 1106, 811, 610, 1447, 2516, 1040, 4841, 1711, 513, 30732, 2280, 827, 741, 13539, 269, 13262, 547, 1053, 602, 789, 616, 2921, 593, 513, 1909, 585, 713, 2534, 269, 9906, 2516, 1058, 2743, 547, 1865, 930, 3177, 17003, 2055, 269, 3962, 1895, 1590, 4647, 543, 4688, 513, 1196, 3386, 7300, 30732, 2280, 543, 2347, 1142, 3296, 2687, 547, 741, 1895, 781, 4956, 2796, 267, 6663, 543, 4507, 269, 17968, 267, 519, 3029, 666, 581, 9102, 543, 6192, 22356, 269, 4256, 6192, 30732, 7410, 666, 581, 9102, 543, 5924, 3838, 6475, 1227, 563, 3519, 6984, 11314, 2443, 5510, 1467, 8794, 519, 4030, 602, 1053, 723, 6591, 689, 2870, 741, 30732, 7410, 4125, 1053, 538, 3384, 741, 1378, 8369, 3823, 5245, 781, 11776, 3609, 2221, 269, 1684, 713, 676, 6998, 1053, 547, 2347, 513, 3281, 817, 18745, 2534, 1472, 519, 20790, 602, 281, 5245, 1058, 2333, 922, 27540, 6981, 269, 3281, 817, 18745, 3322, 1053, 538, 12570, 513, 20790, 912, 347, 292, 10166, 1548, 2300, 2572, 596, 827, 519, 20790, 286, 2008, 347, 310, 10166, 1548, 568, 702, 5142, 727, 827, 519, 20790, 286, 2008, 347, 301, 10166, 1548, 811, 798, 596, 991, 547, 917, 827, 519, 20790, 286, 2008, 16085, 10166, 1548, 568, 707, 18879, 610, 19583, 585, 3001, 4464, 286, 2008, 9556, 2544, 14506, 2791, 949, 899, 547, 946, 513, 8086, 610, 1582, 12431, 20156, 4640, 547, 6895, 2875, 6278, 609, 713, 9074, 563, 10702, 11314, 14313, 454, 268, 4518, 609, 1053, 547, 2697, 543, 5619, 8241, 26620, 936, 942, 543, 20272, 875, 789, 2992, 5245, 781, 4657, 4507, 1472, 2551, 543, 11776, 563, 268, 9105, 1053, 547, 20272, 519, 18405, 547, 21992, 5245, 12876, 267, 7114, 543, 10452, 593, 519, 2418, 543, 5075, 585, 5245, 799, 621, 6799, 269, 7420, 1053, 547, 2328, 513, 1007, 3084, 1884, 1335, 267, 799, 9356, 4207, 8241, 2418, 543, 22649, 563, 268, 9105, 1053, 547, 1382, 519, 1686, 543, 1543, 540, 519, 17629, 16672, 540, 5274, 7126, 543, 922, 3498, 538, 5245, 563, 268, 13772, 519, 590, 7034, 2982, 3619, 7982, 547, 7316, 1411, 595, 877, 3245, 610, 26790, 13780, 543, 1865, 609, 707, 1053, 269, 0, 13828, 26634, 543, 28681, 4755, 538, 12862, 269, 1306, 3002, 4483, 998, 1312, 3157, 6971, 519, 2837, 3017, 267, 789, 666, 581, 2808, 607, 12721, 1996, 1142, 824, 538, 22151, 3002, 269, 1703, 616, 1082, 1114, 2010, 540, 12862, 267, 971, 607, 2011, 267, 1216, 267, 3282, 267, 610, 16035, 269, 634, 3928, 540, 26634, 543, 28681, 4268, 538, 1114, 12862, 269, 6884, 267, 26634, 2531, 7149, 269, 4033, 2053, 267, 28681, 2531, 7149, 269, 634, 623, 8681, 339, 331, 1297, 568, 513, 9936, 602, 666, 581, 1031, 547, 10199, 3313, 799, 1184, 786, 834, 7773, 13426, 3602, 3852, 377, 568, 519, 10252, 26517, 25297, 543, 14668, 568, 519, 8143, 886, 639, 2032, 269, 1403, 513, 5714, 568, 811, 1471, 32654, 630, 22496, 1512, 1070, 519, 623, 8681, 339, 331, 1297, 568, 3152, 543, 519, 3002, 4483, 786, 581, 1447, 12768, 21063, 563, 763, 1739, 11191, 2982, 875, 12862, 609, 1114, 623, 8681, 339, 331, 2338, 4483, 3002, 269, 0, 5970, 596, 8068, 602, 1169, 942, 596, 979, 2228, 267, 972, 779, 2576, 16462, 596, 547, 1491, 513, 5619, 286, 589, 2603, 540, 873, 3100, 547, 581, 6322, 693, 4466, 856, 875, 547, 1303, 823, 596, 547, 4444, 1945, 269, 594, 1616, 547, 2911, 827, 513, 1114, 2186, 540, 5619, 4534, 835, 602, 634, 4741, 585, 12713, 996, 923, 1299, 5274, 667, 793, 640, 568, 13384, 1681, 269, 2334, 779, 875, 1271, 649, 1589, 621, 568, 563, 7804, 269, 19626, 681, 1787, 568, 10647, 513, 5619, 593, 519, 946, 540, 13310, 5061, 676, 2852, 1053, 269, 2701, 779, 5461, 538, 513, 1880, 2186, 540, 3075, 281, 5042, 2573, 19188, 267, 799, 594, 1289, 968, 28090, 5818, 619, 1848, 1411, 1522, 5431, 681, 1388, 514, 15100, 543, 513, 3099, 540, 1866, 5061, 602, 616, 11311, 585, 11838, 269, 1703, 616, 1082, 1004, 609, 513, 9758, 2564, 991, 585, 713, 1826, 540, 6646, 267, 855, 621, 568, 849 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 3698, 2027, 23631, 2091, 4433, 267, 524, 2187, 476, 2132, 834, 834, 269, 21860, 8443, 328, 11468, 18737, 272, 316, 952, 1775, 314, 271, 316, 538, 524, 3116, 1775, 585, 1775, 538, 521, 21858, 3890, 20285, 0, 454, 3698, 23061, 6025, 868, 2187, 476, 512, 868, 815, 512, 868, 31573, 4590, 476, 952, 782, 8443, 322, 538, 512, 868, 585, 524, 538, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 11172, 2187, 825, 2132, 834, 303, 836, 1090, 4840, 476, 952, 782, 8443, 339, 868, 29644, 6262, 264, 2999, 476, 273, 585, 524, 538, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 11172, 2187, 825, 2132, 834, 295, 2678, 6945, 4840, 476, 1913, 815, 512, 868, 21858, 4590, 476, 952, 782, 8443, 5320, 314, 271, 316, 2652, 1913, 314, 271, 6012, 271, 316, 585, 2262, 538, 1913, 316, 2187, 825, 2132, 834, 307, 2246, 6945, 4840, 476, 1455, 318, 24393, 815, 1496, 322, 585, 524, 538, 1913, 314, 271, 27663, 476, 585, 2262, 538, 1913, 912, 825, 1455, 318, 24393, 815, 1496, 322, 585, 524, 538, 1455, 318, 24393, 952, 524, 538, 2262, 2639, 476, 952, 7003, 263, 21720, 318, 24393, 264, 3436, 476, 271, 912, 825, 2132, 834, 9558, 13559, 4840, 476, 2132, 834, 306, 27542, 5016, 0, 454, 3698, 3193, 7272, 6372, 3799, 272, 267, 562, 273, 2187, 476, 562, 272, 815, 1592, 19304, 3799, 272, 4917, 476, 562, 273, 815, 1592, 19304, 3799, 273, 4917, 476, 585, 1775, 538, 2039, 12759, 3799, 272, 15892, 825, 952, 562, 273, 2652, 1496, 14158, 8587, 2736, 454, 825, 3116, 912, 8587, 952, 3193, 3799, 273, 264, 3436, 562, 272, 5157, 14158, 1038, 562, 272, 5157, 316, 815, 3193, 3799, 273, 994, 1038, 562, 273, 31927, 32384, 3799, 273, 4917, 476, 2132, 703, 2891, 2668, 21860, 3799, 272, 11723, 0, 454, 5035, 13474, 912, 25991, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2551, 267, 1858, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 21014, 1637, 815, 2551, 454, 1038, 1582, 269, 19327, 815, 1858, 454, 1038, 1582, 18994, 10734, 580, 25716, 454, 1038, 952, 1582, 269, 19327, 285, 4968, 1822, 271, 610, 1582, 21014, 1637, 285, 7742, 1822, 1822, 912, 2018, 1582, 18994, 10734, 580, 18989, 2018, 454, 25991, 454, 825, 1219, 1402, 5091, 3748, 4311, 2187, 1038, 2132, 1582, 21014, 1637, 270, 1345, 269, 19327, 454, 25991, 454, 825, 1219, 5635, 7272, 323, 4311, 267, 824, 2187, 1038, 952, 1582, 21014, 5091, 3748, 3890, 285, 1278, 21014, 5091, 3748, 10031, 2018, 2132, 9497, 260, 338, 814, 513, 3677, 2551, 5860, 982, 4939, 338, 257, 4939, 263, 1345, 20508, 267, 824, 20508, 4917, 1038, 3116, 912, 2018, 2132, 9497, 260, 338, 814, 513, 4130, 2551, 5860, 982, 4939, 338, 257, 4939, 263, 1345, 20508, 267, 824, 20508, 11723, 0, 454, 3698, 3950, 318, 13681, 582, 263, 13318, 15297, 2187, 476, 561, 17342, 2639, 476, 1535, 284, 271, 454, 476, 586, 284, 271, 454, 476, 585, 795, 538, 5528, 10778, 825, 561, 6910, 27203, 21858, 15405, 25991, 454, 476, 585, 737, 538, 561, 912, 825, 952, 737, 314, 271, 316, 2525, 257, 3847, 13426, 8587, 1535, 24210, 10784, 17347, 314, 272, 7481, 825, 8640, 737, 314, 271, 316, 2525, 257, 2431, 13426, 8587, 1535, 24210, 266, 842, 17347, 314, 272, 7481, 825, 8640, 737, 314, 271, 316, 2525, 257, 1575, 13426, 8587, 586, 284, 344, 266, 842, 17347, 314, 272, 7481, 825, 8640, 737, 314, 271, 316, 2525, 257, 6658, 13426, 8587, 586, 284, 344, 10784, 17347, 314, 272, 7481, 22322, 476, 2132, 1496, 343, 11971, 6540, 0, 454, 3698, 19467, 5334, 677, 10857, 560, 272, 267, 32102, 273, 2187, 476, 952, 32102, 272, 2652, 15044, 10857, 560, 272, 2187, 825, 2132, 15044, 10857, 560, 272, 1341, 32102, 273, 994, 476, 2132, 15044, 10857, 560, 272, 1341, 32102, 273, 267, 9258, 18989, 2020, 0, 454, 341, 578, 1564, 284, 14433, 562, 281, 271, 604, 562, 2525, 5257, 12828, 24008, 3799, 11468, 268, 272, 8079, 266, 272, 604, 562, 15631, 272, 316, 514, 262, 2801, 328, 537, 262, 12828, 24008, 3799, 11468, 268, 272, 20285, 0, 454, 5228, 30220, 1104, 4266, 454, 25991, 454, 3698, 2395, 318, 2863, 559, 318, 1708, 272, 5560, 2187, 825, 631, 267, 667, 267, 962, 815, 546, 21858, 3488, 270, 5073, 825, 2395, 815, 1193, 9230, 11845, 263, 1708, 272, 267, 476, 272, 267, 476, 272, 264, 910, 4266, 17301, 263, 312, 1070, 703, 29687, 1070, 703, 20573, 4297, 1040, 17058, 994, 825, 2132, 2395, 1341, 1412, 2395, 262, 952, 2395, 11203, 1412, 272, 262, 3116, 2395, 1341, 1412, 1554, 28847, 0, 454, 3698, 9258, 6831, 848, 6025, 868, 2187, 476, 2847, 339, 868, 815, 1412, 7055, 476, 585, 1775, 538, 2039, 12759, 6025, 868, 15892, 825, 952, 512, 868, 5157, 4940, 529, 21639, 10031, 8587, 2847, 339, 868, 6834, 512, 868, 5157, 4940, 12294, 4590, 825, 3116, 912, 8587, 2847, 339, 868, 6834, 512, 868, 5157, 4940, 21639, 4590, 476, 2132, 2847, 339, 868, 692, 0, 454, 3698, 6218, 7272, 565, 8662, 9638, 8432, 267, 1003, 2187, 825, 586, 284, 335, 8432, 29644, 3488, 270, 5073, 825, 1535, 284, 9131, 261, 11172, 8931, 825, 952, 1412, 2745, 262, 538, 4874, 610, 586, 2525, 273, 610, 7003, 9638, 8432, 264, 2525, 271, 912, 1038, 2132, 834, 514, 20777, 4840, 825, 585, 1775, 538, 4874, 912, 1038, 952, 1775, 538, 1535, 10778, 2018, 2132, 834, 514, 20777, 4840, 825, 952, 4874, 2525, 257, 274, 343, 317, 273, 270, 279, 13426, 1038, 4874, 284, 335, 8432, 18622, 2897, 3488, 343, 12887, 265, 343, 262, 1040, 516, 2897, 3488, 317, 12887, 1262, 262, 1040, 516, 2897, 3488, 343, 3299, 1598, 16325, 4917, 1038, 2132, 703, 16216, 1998, 9638, 8432, 4917, 825, 4874, 284, 335, 8432, 18622, 2897, 3488, 343, 3299, 1598, 16325, 26895, 516, 2897, 3488, 317, 12887, 1262, 262, 1040, 516, 2897, 3488, 263, 12887, 265, 3488, 994, 825, 2132, 703, 16216, 1998, 9638, 8432, 11723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2160, 540, 16713, 3427, 540, 2657, 5584, 687, 267, 543, 9164, 8947, 3592, 476, 1220, 1004, 547, 1265, 856, 875, 741, 5289, 4978, 6766, 741, 1072, 4093, 563, 763, 5171, 941, 5258, 883, 1079, 2516, 281, 2290, 2808, 513, 2942, 17035, 1895, 540, 1346, 945, 5433, 14460, 676, 513, 2362, 1379, 269, 1656, 1776, 1895, 945, 1185, 513, 811, 2318, 2070, 540, 513, 2362, 1379, 269, 1358, 941, 1287, 4280, 827, 741, 2790, 543, 2168, 1072, 563, 17829, 538, 519, 2942, 17035, 1895, 4080, 3648, 8338, 1928, 607, 1134, 607, 8338, 2168, 543, 2790, 1072, 267, 1247, 1346, 609, 2318, 17035, 4080, 1732, 2790, 1072, 267, 519, 3173, 4080, 269, 1809, 1256, 538, 519, 2034, 1895, 267, 952, 2043, 4080, 2348, 1022, 4110, 540, 2942, 5289, 4978, 267, 621, 729, 2404, 609, 25013, 1072, 4093, 563, 27396, 1218, 521, 609, 2942, 5289, 4978, 849, 4080, 10283, 538, 3909, 2853, 1447, 1419, 543, 2348, 2539, 2157, 540, 19807, 563, 11328, 6761, 602, 948, 8396, 2942, 5289, 4978, 543, 3895, 2318, 5289, 4978, 1223, 948, 930, 2043, 2087, 741, 1928, 543, 741, 2790, 1072, 267, 3627, 7723, 7074, 563, 17829, 538, 519, 2942, 17035, 1895, 4080, 3648, 8338, 1928, 607, 1134, 607, 8338, 2168, 543, 2790, 1072, 563, 31714, 945, 16620, 737, 12609, 585, 741, 4057, 1072, 723, 811, 1928, 543, 8338, 2168, 543, 2790, 1072, 267, 2687, 547, 513, 1007, 1353, 689, 2160, 540, 16713, 3173, 269, 28080, 9643, 7459, 547, 25559, 2942, 5289, 4978, 1223, 948, 930, 2043, 6175, 1928, 543, 2087, 741, 2949, 1072, 267, 519, 3173, 1767, 563, 12867, 6594, 5176, 476, 1220, 2043, 547, 1265, 856, 875, 741, 5289, 4978, 4299, 741, 1072, 4093, 269, 15706, 538, 519, 1353, 1185, 513, 2039, 540, 1072, 2175, 267, 971, 607, 2860, 267, 15779, 2634, 5945, 610, 5312, 1928, 267, 543, 1866, 941, 2635, 563, 763, 3173, 5258, 519, 2043, 883, 1079, 2516, 281, 513, 2942, 17035, 1895, 602, 15538, 540, 1346, 945, 4080, 4743, 14460, 610, 27052, 676, 513, 2362, 1379, 267, 543, 513, 1100, 2942, 17035, 1895, 602, 15538, 540, 1004, 945, 4769, 1405, 1745, 14460, 610, 27052, 676, 513, 2362, 1379, 269, 19893, 12943, 2055, 827, 741, 3929, 543, 2168, 1072, 267, 1519, 2168, 1928, 563, 20329, 17226, 20180, 528, 15080, 454, 268, 8899, 5937, 846, 667, 1410, 4364, 564, 558, 26593, 11087, 806, 5403, 10869, 5548, 597, 1756, 538, 24771, 14904, 454, 268, 19077, 1756, 17121, 12186, 585, 645, 13633, 13081, 8048, 547, 13722, 3465, 5524, 26162, 454, 268, 9365, 24251, 23105, 2060, 4317, 769, 9798, 454, 268, 3689, 7232, 335, 28964, 5576, 16333, 22604, 589, 3660, 676, 13832, 19639, 618, 454, 268, 21023, 832, 540, 674, 27544, 27159, 538, 3689, 7232, 335, 28964, 5369, 2670, 9453, 2405, 1709, 454, 268, 2672, 8336, 10644, 543, 27800, 281, 9061, 4211, 8590, 21126, 454, 268, 4165, 760, 2134, 5328, 22732, 532, 538, 5576, 16333, 281, 8056, 18957, 5288, 19573, 531, 2598, 11666, 6672, 454, 268, 645, 13633, 13081, 3933, 8839, 9615, 10088, 1386, 454, 268, 590, 2775, 569, 14451, 7486, 30587, 538, 14904, 2060, 27275, 10076, 29520, 454, 268, 6164, 532, 10266, 538, 12870, 2904, 13724, 15465, 267, 23398, 27159, 0, 1607, 1557, 568, 513, 1353, 960, 540, 519, 2835, 593, 1603, 1134, 543, 2973, 267, 1134, 2000, 32484, 5220, 676, 1079, 1390, 5830, 5261, 2098, 514, 1087, 518, 543, 3967, 529, 13852, 269, 634, 1686, 540, 519, 5830, 814, 1044, 1134, 4988, 538, 713, 1557, 676, 10223, 593, 741, 10781, 593, 741, 11678, 269, 4746, 3769, 568, 519, 5758, 540, 519, 1079, 2835, 799, 14122, 519, 9115, 540, 1344, 602, 616, 538, 519, 1079, 2835, 269, 634, 1445, 568, 547, 2087, 519, 5830, 262, 1377, 540, 1603, 676, 4758, 873, 519, 4808, 593, 1434, 1603, 2853, 543, 519, 2489, 1702, 593, 1603, 1022, 1570, 269, 1280, 24455, 547, 10653, 538, 1018, 646, 1281, 267, 519, 5728, 6013, 538, 875, 649, 4487, 519, 3652, 543, 15666, 547, 519, 2838, 5528, 269, 1548, 1114, 28179, 519, 2298, 540, 513, 1433, 5856, 568, 519, 3044, 540, 519, 1603, 563, 19365, 2098, 514, 1087, 518, 267, 513, 5856, 267, 9375, 267, 543, 4116, 267, 568, 513, 8772, 22831, 1715, 3840, 518, 267, 4535, 538, 476, 4572, 273, 269, 3571, 476, 1240, 2835, 267, 799, 2039, 538, 1641, 689, 2575, 547, 13836, 547, 1977, 2951, 267, 1331, 1896, 4922, 1224, 2835, 827, 1603, 563, 16031, 269, 2098, 514, 1087, 518, 3459, 1010, 4876, 538, 476, 3707, 277, 693, 519, 1715, 3840, 670, 14283, 17650, 2317, 267, 1141, 646, 729, 513, 5856, 267, 9375, 267, 543, 10404, 269, 769, 476, 4198, 280, 646, 2451, 547, 1831, 513, 28479, 766, 5856, 543, 814, 2094, 2854, 5781, 585, 3056, 17476, 269, 3245, 476, 3422, 279, 547, 476, 3192, 273, 646, 729, 513, 6241, 626, 585, 5020, 269, 4438, 519, 476, 3192, 271, 338, 646, 729, 693, 23171, 267, 1141, 267, 16310, 3450, 15923, 1603, 543, 9644, 1603, 267, 646, 729, 4487, 540, 645, 3757, 5112, 5441, 269, 769, 476, 3192, 280, 646, 8120, 547, 1715, 3840, 543, 729, 513, 9972, 9375, 693, 519, 3883, 6361, 7308, 5336, 517, 628, 11833, 2394, 476, 2735, 278, 267, 950, 646, 4682, 1394, 547, 28479, 766, 1603, 269, 1261, 11414, 693, 519, 1715, 3427, 543, 693, 12052, 2160, 23958, 3427, 540, 4750, 1143, 269, 1261, 568, 606, 9666, 518, 593, 1603, 547, 3506, 267, 12621, 267, 543, 824, 3906, 269, 1261, 6585, 8956, 776, 5232, 689, 24380, 2917, 534, 2160, 267, 24305, 1231, 5441, 267, 543, 519, 2160, 540, 8828, 4095, 543, 568, 513, 16520, 23193, 540, 519, 1715, 3840, 5398, 7732, 563, 16031, 269, 2098, 514, 1087, 518, 2729, 538, 1010, 1753, 4884, 609, 1010, 7385, 267, 519, 19829, 543, 14787, 8349, 710, 2098, 514, 1087, 518, 269, 1358, 723, 1079, 1453, 267, 25138, 2098, 514, 1087, 518, 267, 513, 1870, 10324, 267, 543, 3627, 2098, 514, 1087, 518, 267, 513, 18048, 543, 4116, 563, 13202, 529, 729, 4535, 538, 5842, 12770, 593, 4864, 476, 272, 267, 476, 3707, 279, 267, 543, 568, 2713, 972, 1869, 563, 27662, 267, 4270, 2000, 32484, 29941, 568, 513, 1507, 267, 2502, 1433, 585, 1004, 945, 917, 1018, 789, 1616, 547, 2328, 855, 945, 5749, 1405, 7357, 8746, 538, 741, 946, 540, 8239, 543, 18685, 269, 901, 13801, 267, 16614, 267, 19278, 3391, 9072, 1152, 519, 1034, 1455, 6959, 538, 1977, 5220, 563, 13202, 529, 13852, 814, 1044, 3450, 1603, 267, 538, 1082, 5468, 543, 3309, 12043, 267, 2094, 476, 3192, 274, 269, 2701, 3459, 1200, 4876, 607, 513, 5888, 543, 1870, 1603, 14357, 693, 5842, 12770, 3557, 2160, 267, 1141, 1352, 1185, 12236, 1200, 9457, 781, 4110, 538, 2296, 609, 606, 8561, 538, 3450, 1603, 563, 1607, 1433, 267, 1412, 4002, 5675, 4270, 814, 1044, 26916, 585, 922, 3280, 5796, 267, 922, 9355, 543, 519, 14246, 540, 922, 2511, 269, 898, 568, 513, 1433, 585, 16764, 945, 6499, 547, 1451, 875, 547, 2328, 610, 945, 2115, 547, 798, 930, 1603, 547, 1205, 998, 519, 1554, 267, 607, 3592, 16764, 1281, 538, 519, 2085, 540, 6176, 5303, 269, 898, 5673, 593, 2436, 596, 1616, 547, 2328, 827, 1004, 610, 4025, 267, 2257, 543, 2029, 267, 1870, 267, 5026, 267, 519, 6575, 610, 827, 3054, 538, 519, 5051, 2442, 17728, 9135, 269, 4329, 267, 2201, 5675, 4270, 3091, 596, 4909, 3741, 607, 1134, 607, 519, 4030, 540, 513, 13747, 5856, 543, 4116, 269, 901, 4320, 814, 11542, 519, 1449, 540, 942, 543, 3788, 513, 3407, 4199, 585, 5830, 543, 1346, 14971, 547, 581, 5830, 538, 519, 2104, 563, 305, 1601, 543, 7502, 1512, 630, 17989, 269, 476, 27183, 264, 593, 741, 1433, 849, 20926, 602, 267, 1412, 1492, 2165, 834, 12895, 31805, 257, 568, 513, 535, 1157, 548, 607, 513, 24158, 609, 1896, 6653, 515, 11301, 8339, 901, 25495, 519, 1249, 602, 2201, 5675, 4270, 814, 4421, 811, 12215, 593, 519, 2344, 563, 1607, 1507, 267, 2502, 1433, 568, 585, 1004, 945, 917, 1018, 789, 1616, 547, 2328, 543, 945, 917, 2296, 22433, 789, 991, 547, 5873, 568, 1018, 13852, 814, 547, 2161, 827, 519, 6959, 602, 723, 1212, 696, 883, 741, 5220, 269, 4982, 958, 3730, 547, 513, 27630, 3766, 571, 1457, 543, 513, 9972, 7400, 9614, 267, 11162, 267, 4270, 6441, 32484, 29941, 568, 513, 6653, 543, 12905, 20114, 269, 901, 568, 519, 1655, 3391, 1317, 621, 4267, 8239, 2055, 899, 834, 19675, 594, 946, 1860, 610, 1198, 8119, 834, 1432, 786, 594, 5660, 596, 11504, 519, 5870, 610, 596, 2811, 11504, 519, 5870, 8119, 834, 8649, 594, 530, 5109, 594, 729, 610, 530, 5109, 594, 941, 8119, 834, 3674, 519, 2601, 1946, 2731, 1317, 3267, 24350, 2005, 4267, 18685, 2055, 899, 834, 1432, 12851, 538, 713, 5544, 267, 513, 26893, 610, 4986, 286, 589, 3935, 610, 12931, 20325, 286, 6496, 513, 1974, 979, 3330, 610, 3544, 513, 19722, 1665, 286, 9701, 519, 19722, 1665, 581, 2582, 610, 5595, 24350, 13202, 529, 13852, 267, 1310, 3450, 1603, 585, 1082, 1296, 538, 513, 2647, 3099, 540, 4081, 543, 1870, 5468, 267, 1352, 6487, 519, 2055, 602, 1004, 2356, 2307, 269, 4475, 267, 1352, 6487, 875, 547, 2626, 538, 1913, 602, 1118, 2631, 267, 16436, 513, 12837, 267, 543, 2611, 12300, 563, 763, 11271, 593, 8239, 616, 2653, 547, 1174, 543, 10146, 269, 3962, 7851, 856, 519, 1858, 540, 513, 1966, 267, 11828, 519, 4636, 7140, 602, 5830, 4043, 547, 1118, 267, 543, 6941, 875, 547, 1205, 1394, 593, 3950, 609, 513, 22315, 538, 1688, 269, 2701, 1281, 782, 540, 713, 538, 19599, 10750, 2296, 269, 5047, 267, 972, 616, 1082, 1806, 540, 5220, 8854, 4636, 543, 5220, 2469, 1318, 269, 4746, 693, 519, 1439, 540, 1142, 3184, 568, 513, 2243, 267, 4553, 676, 4267, 267, 865, 602, 3988, 666, 1294, 1018, 789, 4121, 543, 1018, 789, 1869, 991, 547, 960, 593, 563, 763, 3184, 593, 18685, 6257, 1018, 1142, 540, 519, 7436, 1281, 585, 513, 2713, 267, 607, 1134, 607, 519, 6009, 621, 4465, 1405, 1256, 4019, 585, 269, 11153, 3732, 5220, 1397, 519, 7436, 1134, 6964, 269, 1656, 267, 607, 538, 519, 1964, 540, 519, 1433, 267, 519, 1034, 1455, 2055, 616, 12943, 538, 17598, 1469, 563, 1607, 1433, 267, 1412, 27662, 267, 4270, 2000, 32484, 29941, 262, 568, 3730, 547, 513, 1268, 538, 1164, 1153, 267, 2852, 267, 610, 1870, 282, 621, 568, 606, 5393, 1655, 3391, 543, 513, 10950, 8323, 547, 873, 563, 1607, 568, 513, 5059, 267, 16614, 267, 19278, 3391, 547, 3478, 938, 5220, 883, 1434, 3337, 269, 2991, 13977, 19317, 1296, 540, 3450, 1603, 267, 3967, 529, 13852, 6487, 799, 5220, 1346, 616, 543, 10502, 1018, 513, 2812, 873, 269, 2701, 6257, 8239, 543, 6165, 2042, 538, 2081, 602, 1118, 7525, 2631, 269, 2701, 6941, 10502, 1018, 938, 18685, 7436, 798, 543, 4465, 1405, 798, 269, 2701, 849, 4267, 519, 1360, 2055, 602, 3988, 616, 2693, 547, 723, 269, 14755, 1373, 5393, 28505, 543, 4143, 267, 1142, 3184, 3091, 513, 4101, 7688, 4553, 676, 4267, 602, 4734, 1100, 8969, 563, 763, 1557, 1957, 814, 6045, 593, 519, 10373, 2956, 602, 1312, 19416, 5830, 814, 6273, 547, 5640, 945, 616, 16994, 5830, 269, 5637, 5261, 2098, 514, 1087, 518, 543, 3967, 529, 13852, 616, 14222, 24069, 593, 519, 2361, 540, 1603, 585, 782, 5481, 269, 1280, 873, 789, 6166, 519, 6031, 602, 1603, 568, 513, 6612, 799, 10953, 950, 835, 2982, 1719, 593, 621, 269, 0, 1432, 568, 669, 31779, 807, 888, 2419, 31779, 807, 630, 9383, 1695, 5336, 296, 295, 11546, 324, 268, 1695, 264, 568, 519, 1034, 1455, 16770, 10299, 9190, 3968, 538, 519, 772, 2529, 269, 4706, 2407, 2012, 568, 669, 31779, 807, 911, 577, 558, 15384, 630, 10177, 327, 10275, 334, 5336, 288, 295, 2389, 529, 1040, 898, 568, 513, 2186, 540, 4551, 602, 666, 3468, 519, 4050, 529, 267, 29199, 267, 14677, 1460, 267, 606, 639, 267, 23443, 628, 571, 267, 610, 3750, 563, 2419, 31779, 807, 568, 519, 2012, 540, 1896, 2010, 540, 4551, 269, 932, 31779, 807, 911, 577, 5448, 267, 585, 1383, 267, 814, 1044, 513, 2101, 2014, 540, 21901, 585, 5553, 269, 932, 31779, 807, 911, 577, 558, 15384, 568, 16770, 10299, 269, 2290, 8833, 4386, 5097, 538, 519, 21050, 923, 543, 3123, 9726, 690, 3757, 592, 5448, 9006, 699, 636, 4534, 2589, 1331, 2960, 15087, 543, 11926, 540, 1978, 15374, 538, 7498, 292, 1790, 770, 320, 740, 516, 572, 267, 579, 345, 737, 15843 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 19588, 540, 647, 15969, 540, 930, 4600, 602, 695, 809, 5333, 538, 476, 1220, 278, 267, 519, 1888, 3823, 2298, 540, 1272, 538, 519, 9036, 568, 711, 1945, 602, 5004, 3217, 21066, 15042, 269, 4658, 8806, 14437, 827, 621, 1354, 855, 891, 10565, 2680, 602, 1624, 3293, 267, 1118, 873, 29311, 875, 1134, 5630, 538, 519, 9036, 4249, 513, 1883, 1909, 538, 30070, 519, 11832, 269, 898, 568, 711, 513, 5728, 15042, 602, 4986, 1390, 666, 4755, 952, 519, 11832, 568, 538, 513, 2324, 1604, 1141, 646, 568, 4743, 1524, 543, 568, 14129, 856, 7683, 269, 24511, 267, 930, 3549, 723, 6956, 621, 1360, 1134, 269, 2334, 568, 519, 2601, 1946, 789, 2322, 538, 1747, 930, 6127, 547, 5000, 519, 1134, 5630, 540, 741, 5520, 269, 634, 1482, 568, 3020, 585, 3979, 3549, 269, 1717, 621, 568, 8909, 547, 1294, 602, 621, 896, 6050, 513, 4514, 3390, 602, 3085, 1406, 3100, 1271, 269, 3509, 3979, 3549, 723, 2943, 547, 1265, 513, 1259, 547, 4308, 609, 519, 2339, 3927, 563, 288, 12687, 540, 1719, 689, 519, 2622, 2657, 9257, 827, 519, 1523, 540, 1134, 5630, 693, 519, 9036, 563, 763, 2622, 2657, 9257, 630, 21766, 264, 568, 1360, 1454, 7255, 609, 519, 3390, 540, 1134, 5630, 693, 519, 9036, 543, 5795, 606, 4013, 4214, 547, 4766, 621, 269, 898, 568, 3989, 607, 968, 589, 1533, 540, 2247, 1141, 972, 568, 513, 3833, 1434, 3666, 1063, 519, 1983, 267, 2115, 543, 17050, 540, 519, 11832, 543, 519, 2604, 543, 3255, 693, 519, 9036, 269, 26023, 968, 6202, 5630, 693, 519, 9036, 892, 10915, 619, 547, 782, 2609, 602, 1223, 5732, 723, 606, 1764, 593, 519, 2324, 2175, 540, 519, 5520, 269, 898, 2882, 3354, 267, 9882, 540, 519, 22402, 267, 1072, 4027, 540, 4600, 267, 519, 2168, 543, 2790, 2360, 540, 519, 4247, 5645, 856, 267, 9036, 23908, 517, 15299, 3092, 269, 4340, 547, 519, 8556, 15249, 540, 16522, 1815, 543, 7022, 540, 519, 17874, 6109, 29918, 15252, 267, 6424, 10067, 2946, 945, 3370, 513, 1413, 856, 827, 2566, 693, 519, 9036, 968, 11004, 568, 476, 273, 2010, 540, 14242, 267, 835, 602, 3947, 2495, 547, 1018, 649, 798, 543, 1776, 602, 568, 827, 10279, 269, 9861, 8149, 568, 827, 519, 2495, 543, 519, 18399, 1848, 5327, 335, 1047, 782, 602, 267, 538, 4000, 267, 1082, 3549, 6560, 547, 3082, 547, 602, 4641, 563, 288, 7811, 1935, 540, 519, 3390, 540, 1134, 5630, 693, 519, 9036, 585, 1082, 3979, 3549, 454, 302, 1553, 6053, 538, 4000, 267, 1082, 3549, 2911, 827, 519, 1719, 789, 723, 593, 519, 1134, 5630, 540, 741, 5520, 269, 1717, 267, 952, 649, 2628, 811, 3007, 547, 621, 267, 649, 5469, 602, 972, 568, 513, 7934, 1063, 519, 3616, 25730, 540, 1719, 543, 519, 4641, 269, 18776, 568, 711, 585, 27642, 15042, 269, 3979, 3549, 2731, 991, 547, 3479, 2933, 547, 4466, 2081, 547, 2087, 519, 2324, 2175, 269, 898, 568, 827, 267, 8380, 519, 1480, 1373, 538, 519, 4099, 540, 519, 2418, 540, 519, 2754, 585, 922, 1378, 19160, 543, 585, 519, 19160, 540, 519, 1071, 22086, 619, 563, 2791, 666, 849, 1224, 12333, 1427, 20995, 538, 4000, 0, 1432, 568, 661, 14641, 12229, 888, 1432, 568, 661, 14641, 12229, 888, 2207, 303, 6763, 585, 968, 11767, 21215, 12754, 12020, 6100, 901, 1797, 267, 713, 568, 513, 3301, 1062, 602, 568, 9277, 547, 2232, 543, 1491, 1416, 540, 519, 3003, 2115, 540, 606, 27617, 543, 621, 779, 4199, 2115, 3092, 269, 1323, 661, 14641, 12229, 5161, 540, 1312, 12229, 543, 10434, 2264, 602, 568, 1898, 538, 5466, 519, 3003, 1870, 2115, 269, 15380, 606, 27617, 1797, 267, 649, 616, 6158, 827, 689, 513, 5420, 547, 14066, 19007, 4559, 610, 513, 1507, 9467, 1870, 610, 513, 1804, 29665, 1870, 563, 19950, 532, 568, 267, 28000, 540, 519, 2450, 540, 519, 1870, 267, 789, 723, 1482, 2596, 1184, 543, 8060, 547, 1246, 269, 661, 14641, 568, 1898, 513, 1907, 585, 519, 1507, 547, 1804, 1870, 543, 621, 568, 2556, 585, 782, 563, 7628, 938, 6455, 1184, 267, 649, 1336, 606, 4277, 1249, 602, 1169, 1870, 28000, 540, 519, 2450, 814, 1482, 1870, 1184, 267, 1852, 543, 3800, 269, 898, 1281, 1689, 609, 4320, 540, 960, 267, 855, 711, 689, 1870, 1184, 8797, 563, 2304, 661, 14641, 12229, 3335, 5161, 540, 19007, 267, 19098, 267, 19833, 543, 12833, 7860, 267, 27619, 543, 645, 1571, 267, 12020, 267, 5274, 8249, 267, 12525, 525, 543, 5360, 10662, 3092, 269, 1703, 616, 1870, 7299, 8797, 1808, 18317, 11679, 1932, 269, 1809, 789, 616, 7199, 543, 616, 711, 13598, 3283, 563, 1432, 568, 661, 14641, 12229, 286, 1107, 1548, 779, 519, 6355, 10025, 540, 606, 661, 14641, 12229, 888, 6624, 1870, 723, 1894, 609, 5561, 543, 14273, 2066, 519, 1158, 899, 7330, 267, 3624, 267, 10476, 267, 14135, 3092, 269, 634, 1870, 568, 8345, 1063, 2789, 1870, 19728, 267, 2474, 543, 2175, 269, 1306, 519, 960, 6988, 4679, 267, 621, 568, 2352, 547, 4383, 891, 5638, 16924, 563, 9213, 267, 519, 1870, 4238, 616, 10562, 543, 1950, 269, 898, 3568, 1082, 1870, 3001, 3688, 543, 621, 568, 1898, 547, 4383, 519, 27617, 2647, 2200, 2115, 269, 898, 568, 1271, 689, 1870, 5133, 547, 723, 513, 1239, 8699, 543, 6111, 689, 606, 968, 338, 17532, 2707, 540, 5168, 892, 1523, 269, 901, 30417, 519, 10539, 543, 6770, 811, 9355, 543, 6015, 593, 519, 1239, 563, 2207, 303, 12229, 6770, 1082, 1870, 1871, 540, 2789, 8639, 538, 513, 2754, 269, 2368, 540, 873, 723, 1044, 5018, 1934, 563, 268, 4578, 11007, 543, 1239, 6452, 5596, 269, 11814, 532, 606, 13539, 779, 6223, 1308, 1239, 602, 779, 3838, 2066, 689, 2789, 13623, 454, 268, 17179, 1239, 5918, 6473, 543, 1118, 621, 2241, 269, 5272, 4559, 540, 519, 1870, 786, 1294, 519, 1482, 1239, 693, 1022, 1448, 540, 942, 563, 268, 7427, 519, 6355, 1184, 543, 32262, 269, 901, 2306, 1004, 547, 1246, 519, 1184, 3116, 789, 666, 1406, 3136, 519, 960, 693, 782, 563, 268, 6355, 10220, 609, 13170, 1949, 454, 268, 8555, 1407, 12525, 543, 6465, 21881, 10220, 1184, 1519, 29895, 1464, 454, 268, 13722, 10512, 1942, 543, 2799, 12477, 269, 4578, 7041, 543, 1867, 5108, 616, 865, 3728, 267, 621, 4688, 5458, 2179, 540, 29376, 292, 543, 631, 24535, 312, 585, 1870, 563, 268, 8555, 1407, 31740, 7607, 454, 268, 25841, 24093, 543, 2799, 11413, 454, 268, 3143, 811, 968, 15447, 1578, 623, 20449, 892, 543, 922, 6410, 883, 1184, 1759, 1949, 563, 1432, 568, 661, 14641, 12229, 286, 268, 12472, 689, 631, 14641, 547, 13192, 661, 14641, 10298, 454, 300, 8221, 689, 631, 14641, 547, 631, 14641, 4083, 543, 1631, 547, 661, 14641, 454, 22873, 658, 2395, 267, 4213, 941, 1210, 11953, 5934, 3498, 1315, 12229, 602, 5280, 873, 547, 4383, 741, 10049, 4058, 543, 27147, 269, 901, 3301, 1062, 729, 1572, 631, 14641, 269, 1717, 607, 519, 1870, 2115, 2799, 543, 5663, 4559, 4941, 547, 4383, 811, 1184, 267, 4518, 9753, 267, 10049, 4058, 3092, 543, 513, 1007, 3498, 4535, 543, 621, 568, 1572, 607, 968, 300, 14641, 4083, 892, 630, 10048, 3011, 1005, 12754, 4058, 1040, 589, 1007, 8257, 729, 4535, 609, 713, 1107, 623, 15425, 630, 303, 3174, 12020, 543, 6513, 4972, 994, 30952, 267, 1082, 12229, 3435, 2253, 4946, 1007, 2934, 899, 16010, 267, 5274, 8249, 3092, 543, 519, 6355, 2115, 4957, 547, 4383, 519, 27617, 22453, 2115, 563, 1607, 568, 519, 4332, 540, 27617, 12754, 4058, 630, 2207, 303, 1916, 300, 8221, 689, 2201, 6261, 8145, 1047, 661, 14641, 547, 6531, 661, 14641, 10298, 267, 1946, 596, 1058, 798, 621, 1631, 888, 268, 2201, 20031, 1047, 3156, 1107, 2201, 23350, 3498, 1797, 606, 661, 14641, 3590, 602, 779, 18611, 538, 519, 2754, 4087, 543, 593, 922, 1378, 13763, 269, 901, 2337, 873, 547, 4383, 519, 4578, 543, 922, 3354, 269, 3509, 5561, 3494, 602, 621, 568, 15822, 547, 1832, 519, 1239, 543, 1344, 2282, 547, 873, 543, 6417, 676, 873, 269, 1924, 789, 4444, 1804, 13763, 267, 4444, 3301, 1299, 12240, 543, 14764, 519, 3060, 585, 1004, 547, 1569, 519, 3498, 269, 1358, 6108, 5458, 2724, 593, 5989, 269, 1677, 2196, 543, 2226, 713, 661, 14641, 1062, 267, 789, 15313, 1004, 543, 2628, 873, 5458, 14057, 269, 769, 5758, 519, 1942, 540, 519, 2698, 960, 543, 5826, 568, 5230, 563, 268, 13192, 661, 14641, 12229, 1107, 1323, 661, 14641, 1062, 602, 568, 18611, 593, 513, 13192, 7746, 543, 568, 1500, 2139, 547, 6075, 1759, 593, 519, 3747, 269, 769, 713, 2203, 267, 9540, 4213, 1810, 1406, 991, 547, 2226, 513, 7746, 267, 1832, 14126, 827, 1239, 19307, 3092, 563, 1103, 5758, 267, 6531, 661, 14641, 12229, 2141, 2337, 1870, 547, 1376, 609, 1447, 2724, 543, 6108, 607, 543, 950, 922, 2838, 563, 22102, 6355, 1058, 979, 609, 13192, 661, 14641, 12229, 543, 1445, 593, 3395, 519, 1870, 1631, 454, 3963, 568, 661, 14641, 12229, 286, 1107, 8892, 540, 661, 14641, 3466, 1107, 27326, 661, 14641, 1949, 454, 2026, 1870, 3747, 4679, 267, 2221, 779, 3888, 1759, 661, 14641, 1223, 711, 2111, 547, 2743, 1870, 2115, 543, 621, 1291, 547, 811, 9276, 547, 2226, 543, 2688, 1047, 269, 1452, 2025, 3301, 7948, 1406, 4383, 519, 19833, 10414, 14825, 725, 267, 6732, 8818, 547, 741, 1357, 22045, 3092, 269, 589, 1715, 1315, 5822, 5108, 1870, 5411, 2877, 1007, 2934, 899, 454, 268, 16949, 540, 552, 4467, 12692, 2823, 1023, 609, 661, 14641, 547, 1184, 519, 12014, 538, 2228, 7154, 563, 268, 6355, 8227, 6499, 1010, 21527, 543, 5561, 547, 1921, 547, 1010, 661, 14641, 1062, 269, 901, 1131, 948, 11426, 619, 543, 966, 754, 832, 547, 1294, 741, 12014, 543, 1045, 7860, 3092, 693, 835, 1747, 563, 268, 4045, 547, 16353, 29393, 267, 865, 602, 19833, 1268, 3217, 9753, 538, 1483, 942, 269, 19833, 1268, 1272, 1131, 581, 1500, 2653, 543, 2241, 269, 3767, 646, 666, 10505, 1010, 11545, 19833, 18614, 543, 5890, 5151, 1867, 538, 2228, 7154, 563, 268, 1261, 6499, 547, 2671, 1010, 661, 14641, 609, 1010, 10055, 1218, 543, 10748, 6002, 865, 602, 789, 616, 782, 8242, 1483, 942, 609, 3877, 563, 30208, 661, 14641, 10298, 616, 1985, 3942, 540, 4720, 269, 898, 568, 1732, 547, 9772, 621, 543, 1205, 4712, 585, 519, 2104, 269, 634, 1007, 5108, 18317, 11679, 616, 3001, 2509, 606, 6905, 7154, 1141, 649, 616, 10128, 519, 21436, 1870, 609, 741, 4675, 11502, 543, 741, 1849, 1801, 269, 19833, 1004, 616, 4448, 676, 16353, 7343, 338, 543, 5800, 1023, 563, 1432, 568, 661, 14641, 12229, 286, 1107, 1215, 1985, 5108, 661, 14641, 1568, 888, 268, 20865, 519, 8605, 2032, 1107, 1306, 519, 4199, 6165, 10607, 519, 7607, 540, 519, 3498, 543, 4398, 540, 519, 1184, 10607, 269, 901, 5012, 547, 513, 1732, 3351, 5314, 540, 2200, 543, 2327, 602, 729, 5653, 616, 4389, 269, 13724, 538, 519, 1184, 543, 8060, 2337, 547, 2569, 11991, 535, 2774, 687, 543, 2042, 563, 268, 13724, 519, 22637, 593, 519, 4578, 543, 922, 8699, 1107, 1323, 4277, 1249, 602, 19674, 4166, 1310, 1210, 519, 661, 14641, 568, 519, 8851, 540, 968, 293, 792, 2986, 32148, 892, 607, 519, 1239, 8699, 543, 6015, 4679, 563, 268, 22217, 1518, 519, 20104, 1184, 1107, 22217, 1518, 519, 1184, 609, 513, 5693, 3989, 5411, 543, 519, 4397, 17016, 563, 268, 16797, 543, 10866, 27561, 1107, 661, 14641, 2337, 547, 11753, 519, 1239, 2066, 2789, 13623, 543, 621, 2337, 547, 5352, 519, 1867, 693, 513, 2362, 4908, 543, 693, 513, 1454, 1732, 2298, 1377, 563, 268, 14568, 4030, 883, 1184, 543, 8060, 454, 6701, 596, 4712, 585, 1210, 513, 13192, 661, 14641, 12229, 888, 25363, 13586, 606, 661, 14641, 568, 711, 513, 1507, 4305, 269, 898, 3340, 23982, 543, 5458, 4674, 547, 1118, 621, 4755, 269, 3509, 2053, 267, 649, 1336, 602, 9972, 2359, 6499, 3388, 267, 855, 789, 616, 711, 11319, 610, 21338, 2933, 547, 519, 4266, 547, 1118, 621, 4755, 269, 901, 5012, 547, 10539, 543, 729, 5653, 540, 2200, 267, 2724, 543, 942, 563, 268, 3502, 3478, 519, 1318, 1239, 593, 1318, 942, 547, 1118, 513, 3375, 269, 1411, 723, 1004, 547, 948, 596, 267, 855, 789, 616, 782, 4881, 1472, 543, 29289, 543, 4383, 519, 1482, 1239, 547, 2285, 563, 268, 2311, 1459, 267, 596, 616, 1739, 15015, 1184, 609, 2789, 1239, 5036, 269, 901, 568, 513, 5929, 2013, 267, 1141, 2789, 8257, 5411, 1832, 519, 1482, 1239, 538, 1114, 12043, 543, 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 ]
[ 571, 676, 519, 942, 2589, 2408, 563, 13146, 2090, 723, 3254, 602, 1004, 609, 19576, 781, 8376, 849, 723, 2530, 540, 519, 8229, 454, 754, 902, 602, 3132, 519, 32239, 562, 648, 18090, 31058, 269, 715, 648, 18090, 31058, 267, 799, 568, 5702, 454, 22366, 547, 22006, 267, 568, 519, 1292, 3114, 28034, 540, 519, 25091, 8401, 1062, 267, 519, 454, 4820, 540, 519, 8401, 1062, 602, 8060, 1082, 13128, 3252, 540, 519, 1560, 267, 971, 607, 454, 335, 592, 572, 543, 1973, 2604, 269, 634, 2530, 540, 562, 648, 18090, 31058, 1522, 948, 2491, 1896, 540, 519, 454, 12061, 2173, 19318, 2934, 2938, 538, 19576, 781, 8376, 267, 1519, 9854, 543, 17244, 540, 454, 29188, 2604, 7939, 563, 7049, 8157, 15486, 540, 19576, 781, 8376, 454, 14722, 723, 4857, 1896, 4719, 13592, 2404, 609, 454, 303, 1046, 8657, 781, 8376, 267, 543, 1082, 811, 6090, 723, 1044, 17895, 8271, 5532, 547, 519, 4524, 563, 6597, 3539, 519, 6090, 3743, 585, 15110, 2665, 540, 19576, 781, 8376, 666, 948, 454, 516, 572, 2117, 1667, 1174, 1312, 15110, 543, 26742, 19631, 2665, 269, 634, 1482, 6090, 543, 5946, 602, 454, 732, 12012, 538, 15110, 2665, 949, 849, 581, 12012, 538, 26742, 19631, 2665, 676, 2825, 454, 1729, 343, 1231, 610, 824, 2188, 269, 12824, 849, 4126, 602, 12423, 6090, 786, 948, 2697, 454, 2908, 2081, 540, 8156, 19576, 781, 8376, 563, 309, 21905, 607, 513, 2009, 2014, 585, 19576, 781, 8376, 454, 309, 21905, 616, 1776, 2009, 2825, 9594, 585, 19576, 781, 454, 291, 1047, 848, 269, 4658, 945, 2919, 29363, 14527, 1310, 513, 476, 4489, 279, 14798, 15435, 941, 2663, 454, 560, 4459, 523, 609, 4049, 267, 11636, 19576, 781, 6438, 2589, 269, 589, 1895, 540, 15990, 3150, 2021, 454, 16467, 539, 2147, 2589, 1310, 24931, 15601, 3644, 5563, 269, 769, 891, 2021, 267, 519, 454, 22131, 2402, 267, 799, 2663, 20374, 267, 941, 5532, 547, 513, 10151, 6553, 540, 519, 454, 8448, 3194, 883, 19576, 781, 8376, 15486, 454, 8448, 1382, 5267, 602, 519, 1591, 781, 3940, 12871, 1062, 949, 3111, 454, 514, 1004, 609, 19576, 781, 8376, 267, 4929, 5946, 547, 1628, 909, 547, 5739, 2157, 543, 454, 339, 3419, 3455, 1591, 2669, 269, 16952, 2090, 723, 1336, 2963, 602, 804, 7927, 540, 3940, 602, 454, 16467, 3330, 2634, 2281, 540, 1004, 609, 19576, 781, 8376, 949, 3565, 547, 519, 2669, 454, 1993, 11409, 267, 543, 602, 6553, 610, 936, 560, 574, 1637, 540, 2281, 630, 20357, 540, 13802, 610, 824, 454, 2399, 832, 264, 949, 1404, 513, 1909, 538, 519, 2068, 269, 1717, 267, 519, 5730, 1909, 540, 519, 3940, 12074, 454, 8145, 1622, 7164, 269, 2368, 3173, 1256, 1179, 3634, 602, 519, 3940, 19221, 568, 851, 540, 606, 454, 12584, 22066, 3801, 547, 2149, 519, 1591, 269, 2755, 24197, 14524, 267, 19842, 454, 560, 816, 267, 6553, 267, 543, 1082, 824, 10408, 3157, 949, 3565, 547, 19576, 781, 454, 291, 1047, 848, 267, 519, 4890, 2014, 540, 519, 22006, 1591, 2669, 568, 1869, 3768, 17827, 269, 0, 11966, 476, 2190, 540, 476, 12553, 3267, 10705, 513, 2203, 2882, 5872, 630, 29589, 539, 264, 2360, 547, 2272, 585, 875, 519, 1198, 540, 513, 4756, 2242, 609, 519, 2418, 540, 824, 4632, 563, 2690, 519, 2495, 540, 824, 3681, 267, 1294, 7790, 5793, 9146, 19502, 269, 6258, 827, 7900, 30654, 1210, 11550, 290, 23834, 300, 269, 19983, 2360, 616, 1455, 538, 9695, 2079, 267, 30654, 267, 543, 2966, 6901, 16638, 713, 5816, 2022, 267, 594, 2491, 5872, 2360, 267, 875, 547, 4612, 873, 538, 8579, 6272, 267, 543, 519, 2042, 596, 786, 3068, 952, 596, 1810, 1406, 1331, 873, 538, 707, 2203, 269, 13575, 267, 1354, 4358, 547, 3009, 267, 596, 1058, 2328, 1524, 519, 1382, 2243, 267, 3313, 519, 3617, 8579, 1505, 4433, 264, 543, 1287, 1265, 856, 799, 590, 3008, 5650, 4433, 264, 1489, 713, 1826, 540, 2079, 269, 19983, 2360, 2049, 950, 519, 1198, 540, 835, 4756, 5673, 593, 519, 1871, 540, 1776, 4756, 269, 634, 1187, 284, 11743, 4781, 6920, 602, 519, 1611, 585, 1142, 1895, 786, 581, 28367, 269, 2060, 606, 5872, 267, 519, 2474, 616, 1101, 556, 23912, 547, 5330, 547, 519, 1931, 540, 519, 4632, 538, 519, 14160, 19798, 3948, 269, 634, 3681, 3254, 5815, 799, 4632, 786, 1031, 585, 519, 1535, 14289, 267, 10250, 4756, 267, 543, 3210, 4756, 269, 11822, 5872, 4729, 269, 4935, 267, 645, 265, 288, 3587, 589, 265, 289, 952, 589, 9551, 525, 645, 538, 519, 14160, 19798, 3948, 269, 10705, 513, 2203, 2882, 5872, 630, 29589, 539, 264, 2360, 547, 2272, 585, 875, 519, 1198, 540, 513, 4756, 2242, 609, 519, 2418, 540, 824, 4632, 269, 18140, 1154, 19983, 12186, 540, 22953, 17738, 12253, 700, 6686, 20657, 651, 476, 1708, 271, 268, 4962, 268, 2537, 269, 2290, 10158, 30654, 543, 29375, 302, 654, 17751, 30654, 269, 4635, 590, 3008, 10378, 547, 4530, 267, 1160, 2041, 543, 18224, 19983, 12186, 538, 12430, 17738, 30227, 645, 269, 3400, 767, 548, 267, 12313, 18404, 3700, 5549, 1421, 17842, 267, 14411, 267, 4516, 9474, 22552, 16898, 19983, 2360, 630, 528, 15645, 730, 2360, 264, 538, 9695, 3631, 7001, 875, 519, 1198, 540, 606, 4830, 4756, 593, 519, 8200, 4756, 9775, 607, 513, 1599, 540, 513, 3791, 4756, 269, 1703, 616, 1079, 8747, 267, 547, 9414, 1732, 519, 2360, 540, 3750, 3346, 543, 540, 11132, 4082, 563, 4415, 606, 5872, 267, 519, 2474, 616, 1101, 556, 23912, 547, 5330, 547, 519, 1931, 540, 519, 4632, 538, 519, 14160, 19798, 3948, 269, 11426, 1944, 519, 18087, 17839, 5336, 324, 1512, 27834, 18140, 10326, 1377, 476, 272, 269, 7490, 1294, 7151, 476, 5379, 269, 274, 1133, 29446, 30654, 585, 5565, 8862, 599, 5071, 609, 19983, 540, 519, 12319, 540, 11550, 290, 23834, 300, 585, 513, 5249, 1383, 540, 875, 547, 1711, 606, 5872, 4729, 538, 713, 3510, 269, 6271, 8642, 8579, 2645, 693, 938, 12871, 568, 1572, 606, 19983, 18140, 269, 6270, 513, 4729, 5654, 899, 519, 12125, 1934, 269, 634, 5872, 19502, 1599, 5932, 513, 2241, 5872, 4729, 585, 1079, 17574, 1239, 269, 901, 1826, 540, 5750, 14550, 519, 2360, 1063, 4632, 799, 616, 711, 4830, 269, 901, 3561, 6257, 875, 547, 4729, 8589, 2360, 540, 5872, 2474, 689, 1585, 9695, 3631, 267, 1210, 519, 4729, 31200, 3890, 1599, 19502, 31200, 3890, 568, 513, 13598, 4729, 1922, 4233, 267, 799, 24693, 1082, 2203, 268, 15953, 338, 267, 899, 561, 332, 267, 1350, 332, 267, 561, 1889, 267, 561, 1067, 9556, 3092, 563, 11328, 9146, 1773, 1824, 476, 272, 269, 30654, 17738, 609, 5872 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 15144, 569, 7882, 16251, 15068, 5553, 3476, 982, 741, 13413, 543, 5030, 593, 654, 337, 13370, 6816, 538, 519, 11848, 7909, 267, 513, 811, 2487, 1353, 1336, 269, 634, 11864, 1185, 1044, 5258, 689, 824, 7882, 16251, 17005, 2066, 519, 8832, 25955, 676, 8375, 4262, 2157, 4611, 689, 2518, 8337, 1376, 476, 1428, 267, 1822, 1296, 1354, 267, 607, 4080, 676, 513, 1895, 540, 3173, 538, 5125, 267, 18940, 543, 6576, 563, 14722, 723, 1044, 19832, 676, 519, 15144, 569, 7882, 1054, 543, 1082, 1589, 649, 1522, 581, 2111, 547, 4482, 519, 2249, 1394, 689, 519, 21549, 269, 1809, 972, 779, 1869, 513, 1390, 4308, 649, 1810, 1406, 917, 827, 519, 28458, 569, 533, 778, 344, 1457, 916, 563, 1103, 519, 1007, 1382, 13231, 344, 3370, 538, 519, 4760, 2372, 15715, 776, 3163, 17352, 267, 3173, 6594, 519, 24236, 15885, 540, 3327, 267, 9436, 267, 16247, 543, 1193, 2632, 1756, 538, 513, 1305, 540, 7882, 1054, 7633, 543, 7633, 8151, 689, 476, 2412, 267, 1822, 547, 476, 275, 267, 1822, 1296, 2025, 689, 8832, 27584, 4997, 267, 14522, 267, 519, 962, 4157, 517, 543, 654, 337, 13370, 6816, 269, 4256, 2832, 729, 547, 1449, 1022, 1761, 10593, 538, 519, 7882, 16251, 685, 7226, 543, 11326, 543, 849, 547, 1413, 585, 4191, 540, 513, 19717, 1369, 741, 1378, 1604, 269, 634, 3744, 4362, 602, 9436, 24236, 15885, 540, 7882, 16251, 593, 654, 337, 13370, 6816, 543, 519, 20018, 3327, 8959, 547, 6521, 950, 519, 2916, 12699, 909, 1472, 476, 1015, 267, 1822, 1296, 1354, 267, 1282, 1018, 814, 1044, 7123, 2713, 2175, 267, 1354, 7882, 16251, 5747, 1055, 267, 543, 789, 7283, 24240, 563, 310, 944, 569, 7882, 16251, 693, 519, 21977, 7304, 11701, 23617, 1163, 1600, 1472, 476, 1428, 267, 1822, 1296, 1354, 267, 543, 519, 3283, 538, 853, 269, 6754, 6816, 538, 14522, 1163, 1600, 1472, 476, 277, 267, 1822, 1296, 3516, 269, 634, 3803, 540, 1346, 7882, 16251, 1185, 1713, 2242, 1369, 741, 13666, 8084, 5888, 267, 799, 5267, 2242, 538, 741, 1604, 865, 593, 1354, 789, 4682, 856, 972, 269, 654, 337, 13370, 6816, 7882, 16251, 1558, 972, 27757, 930, 476, 275, 267, 1822, 1032, 3516, 563, 763, 3173, 849, 4362, 602, 519, 19941, 3327, 24236, 2418, 7000, 513, 7934, 538, 519, 9600, 543, 11950, 538, 519, 11326, 540, 519, 654, 337, 13370, 6816, 7882, 16251, 543, 741, 13413, 563, 14071, 1095, 2541, 713, 9356, 519, 12402, 540, 590, 9200, 1014, 7882, 16251, 547, 7048, 593, 741, 1378, 14425, 540, 3170, 547, 2661, 998, 519, 24215, 10792, 4672, 5736, 24475, 267, 6466, 654, 337, 13370, 7882, 16251, 267, 17005, 538, 7646, 518, 2175, 267, 1152, 1705, 711, 991, 547, 2223, 1767, 23718, 1488, 28500, 689, 519, 25227, 7467, 540, 7849, 3778, 13198, 558, 639, 267, 2160, 540, 670, 1564, 1074, 328, 267, 538, 513, 2046, 5305, 269, 1488, 28500, 9859, 519, 1895, 540, 1382, 4600, 563, 310, 26917, 6816, 7633, 1185, 5232, 540, 1193, 2632, 1756, 543, 16247, 602, 5815, 513, 811, 3532, 2095, 540, 5127, 13702, 2282, 519, 1439, 540, 519, 2551, 779, 6228, 267, 799, 949, 7654, 723, 4299, 519, 3044, 540, 519, 7882, 16251, 685, 6704, 1216, 267, 519, 1353, 3769, 563, 763, 3173, 1589, 1018, 949, 723, 3366, 547, 713, 654, 337, 13370, 6816, 7882, 16251, 685, 27757, 930, 616, 2110, 3410, 2621, 1519, 3665, 4365, 899, 4764, 593, 6777, 602, 1131, 723, 1500, 2175, 1932, 476, 5390, 585, 7882, 16251, 547, 1265, 1426, 602, 568, 1547, 2334, 14486, 949, 723, 3366, 547, 513, 6749, 538, 2551, 543, 267, 6038, 563, 763, 3262, 540, 3425, 568, 1175, 1776, 3693, 269, 634, 9998, 2963, 540, 3425, 538, 519, 6532, 7389, 1394, 1586, 547, 930, 476, 1911, 1296, 1310, 519, 1034, 2487, 5642, 269, 898, 779, 1561, 321, 762, 602, 649, 3580, 1265, 2963, 602, 3425, 32170, 7882, 16251, 593, 654, 337, 13370, 6816, 267, 519, 3173, 2161, 267, 2705, 267, 649, 666, 1406, 4341, 856, 519, 1981, 789, 949, 723, 5129, 851, 538, 741, 1378, 14486, 269, 0, 21430, 606, 20308, 10934, 609, 21145, 8606, 1562, 454, 4131, 3988, 1445, 593, 519, 4525, 789, 1416, 827, 547, 1118, 741, 1378, 16198, 543, 8753, 563, 2414, 1569, 713, 2407, 5850, 543, 4647, 519, 2707, 3009, 596, 1590, 581, 513, 4759, 269, 630, 2252, 596, 616, 2907, 513, 4759, 267, 2845, 538, 1934, 8094, 294, 664, 19957, 1569, 547, 713, 5850, 543, 936, 513, 4627, 811, 267, 7132, 6030, 543, 10274, 2336, 294, 664, 19957, 1569, 547, 7366, 540, 3108, 4502, 540, 1900, 8386, 9912, 14839, 6030, 543, 18862, 585, 5813, 543, 6881, 2443, 782, 1247, 5885, 606, 4830, 3135, 269, 11905, 3009, 543, 1239, 568, 3769, 865, 602, 596, 666, 811, 3362, 4019, 1018, 596, 1451, 538, 707, 1378, 960, 563, 763, 18862, 616, 1360, 5363, 547, 1847, 689, 834, 302, 5622, 334, 267, 3579, 10590, 547, 875, 547, 2965, 11298, 519, 3579, 563, 300, 20047, 849, 973, 10079, 513, 12353, 20394, 267, 634, 6713, 267, 799, 5654, 811, 5702, 693, 519, 2645, 267, 519, 3652, 267, 543, 519, 4808, 543, 875, 789, 960, 538, 2259, 563, 8450, 5439, 540, 3388, 596, 2744, 1569, 547, 912, 5415, 20861, 338, 6423, 2353, 9890, 454, 9773, 9725, 14333, 332, 2355, 547, 10439, 1125, 5384, 10022, 4578, 454, 763, 5432, 855, 896, 4310, 11768, 568, 513, 1434, 1259, 547, 1413, 693, 3270, 936, 942, 563, 1692, 547, 10439, 1125, 1160, 1636, 687, 538, 681, 454, 2467, 616, 1082, 2081, 547, 1397, 2694, 540, 513, 2898, 269, 3371, 616, 2656, 835, 2000, 29794, 585, 519, 811, 1455, 3283, 563, 309, 528, 517, 16211, 12810, 543, 5548, 320, 684, 599, 10222, 836, 1637, 538, 681, 454, 323, 15505, 597, 10189, 676, 681, 6504, 25306, 2306, 519, 9273, 543, 28321, 3551, 267, 609, 513, 1906, 3515, 540, 3009, 269, 0, 1103, 2487, 2053, 267, 13778, 4105, 15455, 723, 1044, 1336, 269, 3163, 1175, 3884, 1406, 782, 519, 942, 4440, 519, 1034, 26656, 21300, 269, 23448, 1898, 616, 3688, 602, 7866, 2932, 267, 4666, 11326, 267, 15877, 11937, 267, 543, 6114, 547, 9688, 532, 2152, 563, 6124, 8906, 666, 1256, 6655, 4241, 13655, 540, 7164, 1480, 2249, 543, 2831, 269, 1358, 666, 581, 10565, 607, 789, 3100, 899, 4666, 7068, 585, 519, 1101, 942, 1310, 513, 21300, 11318, 20503, 563, 1015, 10395, 808, 11481, 1323, 6827, 528, 454, 5278, 3173, 2648, 741, 21297, 269, 7605, 25053, 543, 15074, 11294, 748, 2249, 267, 711, 513, 562, 7360, 18397, 269, 3807, 25015, 267, 513, 5177, 11001, 10272, 3624, 269, 1879, 1352, 729, 3254, 513, 2027, 8093, 267, 1352, 729, 9599, 676, 519, 7068, 262, 17895, 8163, 269, 26187, 559, 267, 2663, 5219, 547, 607, 667, 2967, 327, 7699, 7254, 336, 542, 326, 267, 649, 696, 476, 1240, 22090, 27128, 5180, 1010, 5023, 454, 9336, 17895, 1185, 2178, 24424, 267, 835, 3364, 1175, 538, 513, 1166, 10133, 269, 634, 8545, 568, 9800, 693, 713, 942, 269, 901, 8966, 13442, 2306, 946, 540, 834, 5979, 3591, 257, 20830, 547, 3460, 676, 1797, 540, 26869, 269, 8805, 320, 21297, 729, 513, 3787, 540, 29152, 269, 12321, 1328, 666, 16783, 609, 12105, 5163, 538, 519, 3529, 540, 1272, 563, 32701, 267, 519, 476, 276, 1240, 2929, 4458, 6040, 8093, 3838, 6190, 7907, 609, 513, 2036, 609, 575, 1564, 543, 824, 8978, 7919, 602, 3744, 1522, 7620, 1628, 593, 782, 519, 2038, 1166, 10133, 269, 898, 1185, 1256, 2016, 519, 21297, 20182, 3828, 626, 930, 8969, 1652, 30980, 910, 27712, 543, 606, 655, 2158, 269, 3097, 280, 17020, 545, 1824, 723, 1044, 1434, 23302, 454, 303, 580, 4445, 24481, 6512, 545, 1824, 20374, 538, 519, 476, 4198, 271, 338, 269, 6145, 1034, 22415, 1667, 267, 789, 723, 1044, 4898, 2685, 11207, 1114, 538, 741, 1360, 1378, 1505, 269, 1452, 6512, 545, 1824, 7902, 547, 581, 19632, 689, 519, 3688, 540, 1714, 330, 267, 737, 30865, 5622, 543, 1566, 1601, 636, 269, 31453, 607, 1454, 607, 14912, 267, 6512, 545, 1824, 723, 1044, 519, 2547, 7928, 2479, 26572, 839, 602, 2479, 5030, 563, 10303, 972, 616, 711, 1022, 23029, 2831, 267, 519, 3173, 5828, 547, 519, 6805, 1895, 585, 4030, 883, 519, 2932, 540, 7919, 269, 19877, 338, 7000, 1945, 26648, 538, 519, 476, 2735, 271, 338, 269, 634, 1416, 1652, 3662, 729, 5827, 540, 1831, 3238, 9425, 16172, 563, 1432, 1500, 713, 4641, 865, 6727, 729, 519, 4070, 540, 519, 7953, 540, 519, 6512, 545, 2393, 269, 5272, 540, 519, 4395, 7953, 1185, 1079, 4052, 19462, 267, 543, 1142, 540, 519, 12042, 7953, 1185, 835, 269, 901, 11460, 8604, 18633, 269, 11048, 267, 538, 1899, 609, 519, 22168, 267, 24549, 832, 14059, 741, 1505, 267, 1175, 899, 519, 9335, 14840, 1676, 267, 2899, 789, 723, 1044, 27086, 563, 7343, 30068, 267, 538, 476, 1001, 280, 267, 5027, 6268, 729, 5340, 593, 519, 3803, 476, 3066, 7729, 30416, 538, 15882, 269, 898, 7000, 602, 519, 3173, 2219, 602, 835, 2249, 267, 24755, 518, 22455, 3235, 7596, 9850, 267, 729, 5963, 1079, 269, 1715, 2249, 723, 1044, 5219, 547, 607, 24755, 518, 22455, 586, 597, 7806, 329, 538, 1931, 547, 2463, 519, 2199, 5169, 540, 519, 3662, 3097, 279, 654, 768, 4975, 454, 1103, 476, 1001, 279, 267, 10007, 723, 1044, 9916, 689, 519, 8225, 27963, 20044, 773, 15142, 269, 12321, 1328, 1185, 2634, 17494, 950, 3478, 4712, 10007, 585, 606, 3606, 1382, 269, 11048, 267, 2429, 8860, 543, 4718, 532, 267, 8966, 15437, 3366, 547, 1413, 1107, 543, 621, 9168, 1390, 5132, 454, 20524, 532, 1018, 13251, 519, 7164, 18707, 267, 519, 5439, 723, 1044, 1085, 10165, 543, 25274, 4824, 269, 634, 2146, 540, 25310, 7902, 12303, 14678, 269, 6969, 8518, 31305, 25310, 723, 1044, 1500, 676, 513, 14762, 1895, 540, 17494, 269, 901, 949, 5051, 3280, 899, 513, 2757, 4110, 540, 25711, 267, 18562, 621, 4951, 513, 1272, 519, 1747, 621, 729, 711, 4397, 563, 763, 10007, 723, 1044, 476, 4335, 2929, 1296, 3516, 607, 519, 1158, 729, 519, 26026, 539, 269, 4107, 12665, 8815, 602, 621, 729, 513, 4666, 1858, 1510, 5135, 269, 1809, 930, 10007, 723, 1044, 15993, 539, 865, 602, 789, 11696, 1194, 519, 28565, 540, 513, 11112, 1558, 24227, 269, 901, 9672, 602, 519, 4666, 7997, 8659, 3063, 1272, 1107, 543, 9797, 811, 5135, 1107, 982, 24455, 1185, 31665, 269, 3097, 278, 5153, 683, 13145, 547, 22660, 2473, 454, 2304, 6827, 528, 2473, 568, 519, 12357, 1445, 540, 513, 3621, 17551, 269, 898, 5161, 540, 2038, 30900, 540, 30900, 267, 2831, 10362, 547, 3425, 269, 1323, 6827, 528, 2473, 12582, 1406, 581, 513, 929, 1493, 855, 513, 3165, 269, 1924, 713, 6264, 8001, 729, 4362, 547, 581, 15534, 950, 519, 3173, 6743, 693, 930, 540, 519, 9510, 30900, 602, 723, 1044, 9800, 1318, 1631, 563, 7197, 2043, 5433, 602, 13755, 6804, 646, 341, 8127, 543, 546, 23677, 723, 1044, 593, 519, 5377, 540, 519, 3529, 269, 901, 1797, 602, 2473, 8604, 519, 9838, 607, 519, 1079, 24888, 2249, 269, 26187, 559, 8906, 6462, 713, 1523, 269, 5027, 1401, 4461, 3502, 17214, 454, 7049, 2045, 6268, 5401, 602, 3781, 6420, 543, 688, 326, 8127, 1185, 606, 22660, 602, 4839, 3481, 856, 1454, 4505, 269, 634, 13972, 5828, 547, 5027, 781, 5413, 950, 8093, 4362, 538, 26288, 538, 476, 1001, 272, 269, 898, 729, 606, 2038, 688, 326, 8127, 4990, 602, 729, 827, 476, 1911, 2929, 1296, 3105, 563, 2026, 513, 1267, 540, 688, 326, 8127, 1281, 711, 723, 7633, 267, 12423, 621, 729, 834, 3697, 32125, 538, 513, 8093, 2594, 2437, 607, 835, 10196, 27824, 6602, 1185, 3681, 11021, 602, 22660, 2473, 729, 711, 2695, 880, 344, 552, 1564, 267, 2705, 538, 782, 5506, 621, 7902, 811, 3165, 3097, 277, 2189, 9416, 21646, 454, 10666, 476, 272, 4939, 540, 519, 8964, 7000, 602, 519, 17878, 1185, 22405, 543, 2960, 593, 519, 9207, 728, 267, 538, 1899, 609, 519, 22405, 543, 2960, 3337, 267, 519, 21300, 7953, 1522, 16826, 1142, 1367, 781, 834, 325, 5424, 21646, 1701, 11048, 267, 9039, 540, 891, 15455, 729, 1585, 22405, 543, 2960, 15244, 269, 476, 3422, 276, 3445, 6349, 316, 9866, 612, 539, 3744, 538, 9416, 21646, 723, 1044, 19818, 344, 609, 1152, 835, 21432, 8093, 31937, 267, 1310, 799, 602, 789, 1185, 2947, 269, 23225, 2043, 723, 4862, 540, 3687, 529, 4768, 760, 639, 267, 519, 10545, 634, 1886, 617, 269, 20523, 519, 1886, 16104, 723, 1044, 1079, 17574, 23097, 2803, 945, 3335, 669, 1078, 2043 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2097, 547, 1769, 950, 519, 6075, 5360, 1622, 1310, 1373, 536, 2683, 1586, 585, 519, 1482, 6221, 543, 7472, 519, 666, 576, 1194, 2638, 547, 6961, 602, 8569, 729, 1500, 269, 1635, 519, 942, 519, 6109, 4991, 547, 519, 5377, 540, 713, 1966, 267, 2705, 267, 519, 10419, 15249, 949, 723, 8149, 519, 6760, 1082, 2053, 543, 2451, 519, 3919, 269, 23618, 532, 10963, 1310, 519, 1249, 6104, 8460, 2370, 282, 6604, 568, 519, 1655, 3070, 269, 634, 15658, 1370, 1198, 540, 15569, 666, 1683, 606, 2500, 15324, 1852, 269, 19098, 19475, 3848, 476, 273, 4330, 875, 513, 6109, 521, 2707, 6054, 267, 13746, 267, 543, 3366, 7970, 1106, 606, 20894, 13009, 602, 2636, 4830, 2912, 6002, 547, 10250, 8852, 998, 1585, 5933, 540, 4393, 269, 901, 1852, 568, 849, 606, 1271, 10512, 4183, 540, 1134, 27059, 8051, 1949, 269, 6884, 8852, 1205, 4503, 538, 519, 1062, 269, 1635, 1739, 519, 20894, 13009, 267, 2359, 666, 3605, 1141, 606, 5470, 7018, 269, 11153, 1808, 1852, 2553, 3565, 547, 519, 20894, 13009, 269, 623, 1066, 3518, 1229, 26671, 269, 623, 1066, 3518, 1229, 6054, 630, 338, 2297, 9753, 267, 11288, 711, 1182, 267, 1121, 8636, 766, 1443, 1182, 267, 543, 865, 593, 264, 616, 18615, 569, 22921, 676, 519, 17002, 543, 1450, 1169, 11834, 547, 581, 4857, 19918, 269, 901, 14998, 519, 10072, 543, 9477, 540, 513, 2582, 2680, 630, 600, 784, 1082, 5215, 264, 998, 519, 8051, 1062, 269, 9453, 513, 2189, 11090, 267, 835, 11834, 5654, 1360, 1454, 899, 1776, 269, 7638, 4328, 2883, 1239, 543, 16439, 8852, 1131, 581, 2352, 610, 1256, 7543, 1510, 840, 333, 3518, 1229, 2707, 6054, 563, 736, 476, 5197, 3848, 476, 275, 634, 28521, 18888, 7981, 521, 269, 1635, 23454, 2147, 8852, 1927, 883, 2027, 13746, 267, 519, 1062, 2488, 513, 13801, 2594, 540, 606, 3003, 1362, 540, 2621, 269, 1280, 713, 3483, 267, 8907, 4783, 1949, 946, 519, 6455, 4760, 543, 519, 6666, 2256, 328, 14186, 4760, 269, 4427, 338, 573, 10706, 27439, 7970, 269, 5565, 13564, 10706, 3366, 7970, 616, 1031, 585, 13830, 11834, 2680, 3877, 538, 519, 8907, 4783, 281, 519, 11891, 543, 8121, 13564, 10706, 3366, 7970, 269, 634, 9042, 540, 2472, 6971, 9424, 593, 1688, 538, 519, 11891, 13564, 10706, 5638, 543, 4679, 519, 5561, 21356, 538, 519, 8121, 13564, 10706, 5638, 269, 634, 2256, 18967, 540, 6666, 6971, 5561, 21356, 538, 519, 8121, 13564, 10706, 5638, 269, 1452, 13564, 10706, 5638, 1683, 6402, 1394, 547, 4760, 13366, 543, 547, 519, 2707, 6054, 602, 9676, 519, 2621, 269, 4937, 27439, 7970, 269, 634, 2489, 24432, 1852, 6589, 616, 519, 4493, 585, 2883, 3948, 7041, 269, 28521, 4783, 8852, 1860, 519, 1739, 2489, 24432, 6589, 281, 6455, 267, 11891, 267, 1942, 540, 5370, 4421, 267, 8121, 267, 543, 6666, 269, 642, 537, 7129, 602, 17412, 2534, 9676, 538, 13746, 543, 13564, 10706, 3366, 7970, 2095, 883, 519, 2489, 24432, 547, 9337, 891, 6589, 269, 4935, 649, 723, 513, 2347, 20894, 13009, 689, 519, 2883, 6898, 547, 519, 2707, 6054, 3842, 519, 2489, 24432, 267, 13564, 10706, 3366, 7970, 267, 543, 2027, 13746, 269, 521, 269, 634, 8907, 4783, 18271, 1896, 10151, 543, 8628, 6119, 602, 3565, 547, 519, 20894, 13009, 269, 634, 1739, 616, 6093, 1806, 281, 7046, 6455, 1931, 3758, 2982, 519, 4567, 540, 6075, 9753, 269, 1744, 6235, 2845, 23403, 9753, 25855, 1282, 519, 1974, 269, 5638, 3758, 2488, 6075, 5491, 1239, 269, 19833, 1931, 533, 2056, 3758, 3568, 1930, 9753, 711, 2943, 25855, 610, 536, 2683, 269, 7982, 19195, 3758, 3568, 6075, 9753, 585, 856, 6361, 3613, 1442, 3688, 269, 642, 537, 7815, 3758, 568, 513, 28094, 540, 782, 4760, 642, 537, 7129, 11540, 547, 519, 2489, 24432, 269, 7457, 6513, 338, 7457, 8060, 2061, 543, 3713, 18977, 543, 10363, 1569, 547, 519, 6109, 521, 7221, 269, 634, 2168, 7221, 693, 1981, 538, 519, 8907, 4783, 616, 6427, 1559, 543, 6666, 269, 7799, 1746, 1569, 547, 891, 3688, 2882, 281, 654, 732, 5264, 3354, 267, 971, 607, 31966, 267, 32302, 267, 543, 22651, 269, 3493, 657, 1746, 6666, 3232, 538, 519, 4871, 269, 4635, 513, 2922, 610, 3781, 16005, 4216, 585, 6666, 269, 700, 12177, 6666, 2721, 619, 543, 1760, 525, 538, 519, 6666, 2256, 328, 14186, 8257, 269, 6176, 568, 849, 606, 1271, 10697, 693, 1981, 269, 7457, 1852, 936, 1344, 3322, 28142, 1569, 547, 6054, 602, 1852, 2168, 7221, 1519, 2707, 6054, 267, 13746, 267, 543, 3366, 7970, 269, 1323, 1367, 609, 19727, 24071, 1569, 547, 5638, 666, 3927, 13861, 519, 2168, 7221, 540, 519, 6109, 269, 634, 1739, 616, 1806, 540, 1569, 4220, 538, 519, 8907, 4783, 281, 476, 272, 269, 1323, 1367, 609, 1569, 547, 519, 8121, 13564, 10706, 24432, 1223, 4894, 1010, 610, 1200, 2272, 630, 528, 2576, 3116, 521, 264, 689, 519, 2835, 269, 2060, 1100, 2594, 540, 519, 2272, 267, 519, 6109, 1131, 711, 6494, 519, 6075, 10865, 6898, 269, 476, 273, 269, 7457, 547, 6455, 1931, 6054, 949, 11863, 606, 18977, 1367, 547, 9594, 519, 695, 3612, 540, 513, 1587, 563, 2641, 3487, 4083, 3690, 9146, 7261, 3380, 543, 6355, 22948, 1323, 1367, 609, 1569, 547, 1312, 6666, 543, 519, 2489, 24432, 6666, 2272, 1223, 4894, 6666, 689, 519, 6109, 543, 4188, 519, 6666, 2272, 547, 3382, 519, 957, 269, 18763, 7638, 2305, 634, 6662, 540, 4830, 19027, 568, 547, 13182, 519, 6111, 543, 1264, 28467, 540, 4247, 602, 824, 3252, 538, 519, 1184, 1685, 269, 1677, 581, 2500, 267, 4830, 2357, 5874, 1590, 2049, 693, 1883, 2798, 538, 519, 1184, 1141, 6959, 666, 581, 9571, 3533, 543, 22621, 269, 18763, 19027, 8060, 538, 519, 8907, 4783, 2291, 693, 519, 1739, 2798, 281, 476, 272, 269, 634, 11288, 1599, 2357, 5809, 602, 519, 5370, 2366, 689, 519, 23999, 616, 2953, 538, 1826, 543, 7274, 269, 6969, 519, 5370, 616, 2366, 547, 519, 6075, 267, 519, 6006, 5305, 3561, 543, 519, 24386, 17277, 616, 11028, 4290, 539, 269, 476, 273, 269, 634, 536, 3739, 1599, 11028, 322, 3796, 519, 3312, 6455, 1931, 609, 519, 11288, 5469, 547, 2327, 602, 5561, 616, 536, 2683, 585, 1152, 519, 9424, 25855, 269, 476, 274, 269, 13405, 547, 20171, 547, 1852, 6589, 267, 519, 2489, 24432, 1599, 11028, 322, 3796, 4760, 642, 537, 7129, 543, 5758, 5359, 5423, 10446, 538, 1114, 1599, 2127, 269, 634, 536, 3739, 1599, 26564, 519, 6455, 4760, 267, 11891, 1852, 26564, 2242, 538, 519, 11891, 13564, 10706, 24432, 267, 519, 6666, 2256, 328, 14186, 1599, 26564, 519, 6666, 2256, 328, 14186, 4760, 267, 543, 6589, 2256, 22133, 26564, 519, 8121, 13564, 10706, 24432, 269, 2598, 920, 26989, 1063, 519, 2338, 13859, 676, 891, 1585, 2959, 786, 5365, 6959, 602, 991, 547, 581, 17251, 1354, 20171, 547, 519, 23834, 666, 1491, 1747, 269, 1280, 1383, 267, 519, 2489, 24432, 1599, 1131, 3713, 513, 6455, 11834, 602, 1185, 1044, 9411, 538, 519, 6455, 4760, 855, 711, 11540, 547, 519, 6075, 521, 2272, 538, 519, 8121, 13564, 10706, 24432, 269, 634, 4760, 642, 537, 7815, 689, 536, 3739, 267, 28388, 2698, 5491, 6455, 267, 1131, 711, 3160, 519, 2698, 4679, 11540, 547, 519, 8121, 13564, 10706, 24432, 269, 634, 1808, 6075, 2272, 4929, 519, 856, 6361, 28394, 766, 2783, 1131, 711, 581, 15002, 762, 693, 713, 1448, 267, 855, 519, 5470, 1131, 581, 7074, 269, 15531, 621, 949, 2154, 6313, 782, 519, 8852, 9268, 1282, 519, 1974, 269, 13689, 593, 519, 2029, 538, 1747, 267, 713, 1223, 581, 513, 32462, 4305, 269, 8447, 7010, 769, 713, 3296, 649, 4983, 519, 2168, 1062, 269, 901, 5956, 609, 513, 2689, 540, 8261, 5773, 543, 1287, 7575, 593, 547, 4308, 609, 1896, 3029, 540, 2780, 2861, 1949, 269, 634, 10014, 540, 8261, 1949, 538, 713, 2085, 540, 2780, 2029, 568, 11786, 269, 1284, 798, 865, 585, 1614, 4128, 269, 3689, 267, 8261, 1949, 4196, 607, 513, 3308, 2866, 5351, 547, 3895, 513, 1732, 1620, 540, 1883, 2035, 269, 15015, 630, 323, 17805, 264, 2095, 577, 11301, 6813, 1344, 607, 519, 2095, 540, 2168, 6054, 269, 4256, 2707, 267, 23332, 267, 10278, 267, 543, 5311, 540, 2621, 616, 11617, 20559, 762, 689, 519, 2095, 24577, 269, 769, 2780, 2861, 1949, 267, 8928, 540, 3059, 6054, 616, 711, 3362, 6719, 593, 2095, 577, 11301, 543, 949, 581, 2352, 585, 30497, 589, 3041, 1053, 547, 1246, 269, 5822, 267, 8261, 1062, 2095, 577, 11301, 12927, 519, 2956, 540, 17478, 540, 11645, 998, 5693, 3989, 8257, 531, 6302, 269, 769, 2780, 2861, 1949, 267, 891, 5302, 2958, 725, 616, 1419, 12913, 998, 2780, 5752, 2553, 543, 10957, 8060, 602, 3112, 581, 6719, 11617, 593, 513, 2095, 24577, 269, 11569, 267, 513, 2582, 4216, 630, 32491, 12835, 264, 593, 513, 1062, 2095, 24577, 949, 19597, 622, 4247, 540, 1082, 1114, 10721, 4559, 269, 7053, 267, 8261, 1949, 616, 513, 4909, 5057, 540, 519, 5943, 585, 13156, 2029, 10124, 269, 634, 28919, 543, 3111, 902, 540, 1699, 5108, 2029, 1831, 519, 1374, 16122, 585, 519, 1985, 269, 634, 1101, 5108, 540, 2780, 2029, 7153, 856, 540, 519, 8261, 1604, 269, 1323, 4661, 666, 581, 1500, 602, 1620, 1018, 1031, 547, 581, 1533, 6361, 7308, 19603, 10607, 835, 521, 1620, 540, 1018, 3366, 721, 547, 1141, 649, 616, 1631, 563, 2420, 476, 9264, 3848, 476, 275, 634, 28521, 18888, 1280, 891, 4128, 267, 930, 16929, 4782, 547, 4001, 8261, 1949, 1354, 3001, 593, 547, 2780, 3156, 269, 11524, 3870, 3001, 2047, 547, 2780, 2861, 1949, 269, 901, 3296, 814, 1044, 6896, 547, 13918, 1312, 3450, 6163, 269, 11374, 568, 513, 2689, 540, 8261, 1949, 269, 1411, 949, 267, 2705, 267, 1510, 2530, 540, 2930, 1543, 267, 21271, 713, 1570, 543, 979, 2047, 547, 2780, 2861, 1949, 4092, 593, 2985, 476, 6642, 269, 15015, 7010, 634, 3483, 540, 713, 3296, 568, 547, 1489, 519, 1062, 2035, 4843, 538, 519, 3105, 3296, 609, 3631, 18995, 1004, 267, 10721, 4559, 267, 543, 2168, 6054, 543, 6119, 269, 901, 3296, 1058, 948, 596, 19424, 519, 17478, 540, 11645, 543, 4830, 2357, 5874, 267, 799, 616, 1898, 547, 2500, 4835, 1852, 7488, 540, 519, 2029, 538, 1747, 269, 769, 1840, 267, 649, 5031, 13546, 1553, 13853, 17271, 547, 8261, 1949, 267, 799, 5795, 4473, 547, 2413, 1949, 1210, 4824, 4066, 269, 19833, 11352, 14409, 634, 3561, 2095, 24577, 538, 7612, 476, 275, 268, 1321, 2982, 519, 5773, 543, 519, 6054, 6093, 547, 513, 8261, 6455, 1931, 1062, 269, 769, 8261, 1949, 267, 4509, 2168, 6119, 540, 2707, 6054, 568, 2565, 547, 519, 20894, 13009, 269, 1306, 649, 3802, 998, 519, 2095, 24577, 267, 5469, 602, 538, 1142, 8257, 267, 1310, 12032, 540, 519, 8655, 4305, 267, 835, 610, 811, 6054, 616, 19429, 607, 2963, 602, 519, 4305, 729, 6192, 269, 19833, 4972, 634, 6455, 1184, 5956, 609, 513, 6075, 32296, 519, 6455, 8257, 676, 15146, 267, 13875, 267, 610, 538, 1268, 269, 634, 6455, 8257, 5638, 519, 1898, 3877, 593, 513, 6455, 1931, 269, 901, 1344, 786, 2663, 9594, 1082, 4247, 267, 855, 585, 519, 4090, 568, 19429, 533, 2056, 5491, 13170, 269, 4972, 10088, 1998, 1677, 1683, 7115, 547, 519, 5491, 28431, 1184, 267, 519, 5491, 8257, 568, 3919, 958, 543, 9308, 5302, 27935, 689, 519, 6455, 8257, 269, 1879, 5491, 568, 9516, 267, 519, 6455, 8257, 804, 17064, 27605, 519, 1585, 12215, 540, 519, 6455, 9753, 689, 519, 533, 2056, 3758, 543, 13847, 873, 547, 519, 536, 3739, 267, 23999, 267, 543, 11288, 13623, 269, 634, 6075, 1931, 543, 5491, 13170, 616, 1287, 5116, 538, 519, 1930, 1931, 3758, 269, 654, 732, 5264, 30332, 634, 1985, 1900, 568, 547, 6928, 519, 25584, 267, 799, 1058, 581, 2944, 607, 4166, 1310, 5491, 13170, 607, 2009, 269, 634, 23999, 804, 17064, 11392, 519, 6006, 5305, 5299, 540, 519, 6455, 1931, 543, 3096, 713, 547, 12398, 519, 11891, 269, 634, 11891, 543, 6006, 5305, 616, 1287, 2366, 547, 519, 11288, 8257, 269, 7053, 267, 519, 23999, 804, 17064, 5638, 519, 11891, 5786, 538, 519, 6006, 5638, 269, 634, 1744, 6235, 4972, 634, 11288, 804, 17064, 11028, 322, 3796, 519, 2472, 4607, 689, 519, 23999, 609, 519, 11288, 5469, 5299, 540, 519, 6455, 1931, 4607, 4505, 269, 1306, 5941, 5892, 267, 713, 21047, 568, 606, 1271, 1852, 1448, 267, 799, 5849, 602, 519, 6109, 15920, 519, 2953, 2472, 543, 9424, 547, 519, 6075, 269, 1879, 519, 1931, 568, 2953, 267, 513, 3915, 540, 561, 8172, 568, 5423, 267, 543, 519, 2472, 616, 26437, 543, 25855, 3842 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 277, 4153, 2431, 264, 31046, 7807, 282, 315, 8974, 3630, 576, 3189, 6523, 29146, 2765, 3189, 7032, 2410, 275, 3686, 18155, 2765, 3189, 6912, 346, 476, 273, 12453, 273, 3686, 1422, 8974, 3630, 576, 3189, 6523, 29146, 2765, 3189, 7032, 2410, 277, 3686, 18155, 2765, 3189, 6912, 346, 274, 12453, 273, 31998, 910, 1422, 8974, 3630, 576, 3189, 7562, 29146, 2765, 3189, 7032, 2410, 275, 3686, 18155, 2765, 3189, 6912, 346, 273, 12453, 273, 476, 14990, 8974, 3630, 576, 3189, 7562, 29146, 2765, 3189, 7032, 2410, 277, 3686, 18155, 2765, 346, 272, 2410, 273, 32556, 269, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1269, 284, 31046, 315, 2765, 3189, 6912, 346, 273, 4153, 6912, 346, 274, 348, 910, 1422, 6912, 346, 273, 12453, 275, 348, 31046, 7807, 282, 315, 2765, 3189, 6912, 346, 273, 4153, 3847, 7268, 6912, 346, 274, 18511, 272, 9368, 20972, 275, 8679, 259, 0, 12709, 3436, 9208, 18438, 3436, 9181, 634, 10417, 2986, 9208, 18438, 2986, 12726, 31283, 692, 258, 9181, 634, 10417, 2986, 9208, 18438, 2986, 12726, 31283, 692, 1012, 12937, 692, 2005, 1522, 634, 3892, 540, 891, 476, 736, 267, 1822, 3732, 1797, 5815, 875, 2484, 519, 543, 15510, 6341, 7204, 2691, 513, 2551, 568, 25541, 267, 519, 1611, 267, 610, 3328, 267, 568, 3622, 7229, 269, 1924, 713, 568, 3160, 547, 476, 273, 269, 3953, 476, 1839, 630, 275, 2567, 476, 1789, 1700, 3953, 269, 769, 713, 9183, 267, 519, 476, 1220, 271, 17037, 616, 5291, 2517, 573, 665, 718, 2593, 270, 20598, 268, 19587, 7933, 29924, 1532, 15277, 268, 20598, 268, 19587, 7146, 1606, 2217, 268, 20598, 11546, 341, 2747, 11258, 3213, 324, 2310, 21041, 3609, 780, 7212, 519, 9819, 585, 519, 1611, 568, 9425, 2241, 267, 952, 596, 547, 1205, 519, 3169, 1297, 17031, 610, 8726, 269, 1403, 596, 1810, 1405, 3314, 602, 596, 946, 519, 3044, 5470, 269, 898, 568, 3730, 547, 5635, 519, 3044, 5470, 540, 519, 1611, 585, 519, 5097, 540, 946, 950, 519, 10386, 3892, 568, 7363, 7856, 267, 610, 5111, 7363, 7856, 269, 634, 1611, 2085, 6785, 3892, 734, 972, 781, 930, 3020, 13065, 1934, 780, 1012, 9208, 18438, 2986, 12726, 6399, 18185, 692, 25835, 476, 271, 268, 276, 2641, 268, 279, 1015, 4200, 29930, 5288, 269, 4855, 513, 10502, 519, 1611, 540, 519, 3732, 9193, 519, 2551, 1611, 269, 589, 11050, 2268, 540, 10462, 568, 4080, 281, 513, 14345, 540, 547, 723, 519, 1482, 1611, 269, 634, 476, 4817, 260, 6015, 8884, 585, 519, 3328, 1198, 540, 519, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 4343, 267, 476, 2412, 267, 476, 2412, 267, 476, 4366, 267, 476, 7871, 267, 476, 7918, 267, 543, 476, 4649, 780, 763, 3044, 11539, 3112, 581, 17223, 9003, 689, 3732, 10305, 282, 519, 3044, 11539, 16302, 269, 10026, 7194, 1576, 267, 855, 596, 666, 1294, 519, 6169, 1934, 269, 634, 3044, 5470, 568, 519, 9208, 18438, 2986, 12726, 6399, 16754, 891, 616, 2551, 2418, 269, 1924, 952, 594, 1491, 476, 280, 269, 274, 5258, 676, 476, 276, 267, 1018, 834, 30144, 4658, 476, 1001, 271, 7355, 585, 1239, 21109, 257, 630, 14457, 6393, 32417, 6011, 1729, 2593, 15233, 585, 8096, 1220, 271, 538, 18623, 1222, 14559, 1306, 851, 540, 938, 993, 621, 568, 1360, 5363, 547, 803, 269, 540, 782, 2550, 945, 949, 581, 5701, 609, 519, 3075, 269, 634, 13260, 540, 513, 18802, 5291, 2517, 26625, 677, 269, 2381, 527, 629, 2593, 19841, 268, 639, 26553, 527, 629, 270, 1704, 14121, 8084, 2000, 3869, 11486, 553, 545, 3613, 520, 2524, 7146, 3766, 1429, 338, 270, 1506, 13607, 4185, 2389, 3949, 14121, 3949, 6361, 24578, 753, 270, 6343, 28104, 7308, 268, 20598, 268, 19587, 6361, 7308, 268, 11743, 270, 547, 798, 513, 6169, 1934, 269, 11022, 281, 772, 2529, 780, 4131, 781, 798, 9208, 18438, 2986, 12726, 6399, 17817, 1452, 12596, 616, 4570, 950, 519, 2551, 2450, 568, 1454, 476, 10037, 630, 272, 2567, 476, 4037, 1700, 10037, 269, 634, 13065, 540, 713, 5506, 3892, 3947, 596, 606, 2856, 3044, 5470, 540, 8096, 276, 267, 1822, 267, 1287, 519, 3448, 3044, 6959, 616, 476, 736, 260, 543, 476, 1015, 260, 6606, 269, 1568, 856, 585, 891, 1079, 1919, 780, 1012, 9208, 18438, 2986, 12726, 6399, 7151, 692, 9928, 523, 9222, 5291, 2517, 560, 3430, 516, 330, 2593, 270, 652, 11582, 270, 20598, 268, 19587, 269, 5684, 343, 286, 307, 583, 3645, 284, 4338, 476, 274, 630, 274, 2567, 476, 13647, 1700, 14138, 269, 15019, 15019, 9208, 18438, 2986, 12726, 6399, 18185, 1403, 596, 2811, 3297, 513, 1357, 6882, 267, 5225, 1118, 9208, 18438, 2986, 12726, 6399, 17392, 5915, 532, 269, 5502, 267, 596, 1491, 513, 6824, 540, 602, 476, 4968, 2929, 1677, 7435, 548, 4317, 17520, 4317, 17520, 6092, 30047, 16505, 13522, 9484, 9653, 6092, 26647, 31227, 2060, 19966, 1013, 22785, 2496, 2252, 835, 5619, 814, 513, 3044, 5470, 540, 8096, 1015, 267, 1822, 543, 519, 824, 814, 513, 2638, 1250, 5816, 14355, 631, 714, 1676, 281, 834, 2252, 596, 21102, 689, 835, 2278, 621, 781, 17096, 282, 952, 4557, 3340, 513, 4627, 2053, 607, 1082, 7422, 269, 28359, 538, 713, 1880, 3732, 568, 476, 4391, 269, 1839, 269, 7937, 543, 952, 594, 1616, 519, 3044, 11539, 267, 594, 1175, 1491, 9208, 18438, 2986, 12726, 6399, 9185, 1759, 593, 513, 11050, 2268, 540, 10462, 281, 519, 3044, 5470, 780, 15507, 713, 3135, 281, 23680, 585, 519, 476, 1626, 28359, 568, 476, 1015, 269, 2537, 269, 898, 568, 4686, 602, 519, 713, 1543, 634, 1611, 540, 891, 476, 736, 267, 1822, 5439, 689, 519, 2085, 693, 1101, 7365, 2551, 519, 3044, 5470, 540, 519, 1611, 1373, 3160, 547, 476, 272, 269, 9262, 780, 763, 1611, 2085, 585, 519, 476, 1626, 9208, 18438, 2986, 12726, 6399, 16338, 1445, 593, 519, 3044, 5470, 540, 519, 1611, 269, 2334, 781, 782, 3688, 538, 707, 1239, 1305, 269, 513, 1449, 267, 1175, 1747, 519, 1079, 2338, 883, 519, 4542, 780, 1012, 9768, 476, 271, 268, 278, 1626, 278, 268, 10219, 275, 268, 278, 2073, 533, 476, 7871, 9745, 645, 31938, 267, 631, 269, 630, 1001, 273, 1040, 834, 1432, 547, 946, 3364, 267, 1152, 519, 10035, 630, 328, 4318, 780, 534, 1278, 476, 1015, 267, 1822, 8062, 269, 634, 3113, 2982, 519, 6502, 585, 519, 476, 1626, 28359, 538, 519, 9208, 18438, 2986, 12726, 1160, 15251, 3257, 602, 269, 4530, 2659, 4197, 9046, 476, 272, 6904, 7365, 568, 827, 3368, 519, 3044, 11539, 540, 476, 280, 269, 2767, 1296, 585, 519, 28359, 780, 8170, 1576, 267, 570, 1315, 562, 11513, 6234, 570, 14672, 348, 568, 4441, 602, 741, 1239, 1590, 3914, 1354, 8313, 269, 1403, 835, 5619, 814, 513, 3044, 5470, 540, 8096, 1015, 267, 1822, 543, 519, 824, 814, 513, 5291, 2517, 573, 665, 718, 2593, 270, 20598, 268, 19587, 7933, 29924, 1532, 15277, 268, 20598, 268, 19587, 268, 20598, 11546, 341, 2747, 21873, 17942, 1998, 11258, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 4343, 267, 476, 2412, 267, 476, 2412, 267, 476, 4366, 267, 476, 7871, 267, 476, 7918, 267, 543, 476, 4649, 269, 1656, 1287, 950, 562, 568, 3160, 547, 476, 1839, 649, 3893, 585, 519, 476, 1626, 28359, 568, 476, 1015, 269, 2537, 780, 3383, 649, 1491, 938, 3044, 9576, 18926, 5980, 269, 2859, 4481, 267, 519, 2450, 540, 519, 3044, 5470, 540, 519, 1611, 568, 11201, 569, 14354, 547, 519, 4009, 3597, 540, 519, 3732, 2450, 269, 634, 3173, 1867, 602, 11134, 589, 568, 4397, 547, 4309, 476, 7367, 260, 2469, 547, 581, 476, 272, 269, 543, 4280, 952, 789, 786, 8917, 585, 11134, 589, 610, 11134, 645, 780, 763, 3113, 2630, 2982, 519, 3892, 540, 519, 3732, 1797, 8222, 281, 1015, 269, 15996, 278, 270, 23056, 4962, 277, 280, 269, 2913, 781, 1797, 568, 3160, 547, 519, 2551, 1611, 269, 14272, 518, 5377, 4112, 22789, 2593, 9745, 8230, 2284, 267, 808, 269, 2060, 562, 815, 476, 273, 519, 30391, 568, 827, 476, 1839, 9077, 1535, 328, 3738, 1315, 562, 1403, 602, 5654, 7294, 267, 621, 781, 12863, 982, 596, 1589, 780, 2690, 1142, 3732, 267, 519, 1611, 2085, 540, 519, 692, 30772, 267, 519, 3044, 5470, 540, 519, 1611, 666, 3277, 547, 606, 7447, 540, 0, 258, 7223, 692, 14006, 539, 676, 593, 16317, 24169, 519, 2016, 4834, 1384, 272, 269, 1923, 273, 343, 268, 276, 347, 284, 476, 3066, 454, 528, 568, 621, 2807, 19601, 343, 15871, 1321, 692, 273, 269, 476, 276, 3287, 266, 274, 9984, 273, 343, 815, 910, 2641, 692, 274, 269, 476, 274, 343, 266, 274, 263, 272, 14870, 6661, 1535, 268, 1704, 692, 275, 269, 476, 273, 314, 272, 268, 274, 3287, 266, 273, 13580, 815, 910, 343, 692, 15542, 528, 13159, 569, 912, 272, 269, 1535, 317, 273, 268, 1321, 343, 266, 736, 692, 273, 269, 1535, 317, 273, 14870, 268, 736, 692, 274, 269, 1535, 317, 273, 268, 5392, 692, 275, 269, 476, 275, 343, 317, 273, 268, 276, 343, 268, 277, 692, 272, 269, 1923, 273, 343, 268, 276, 347, 284, 476, 3066, 454, 528, 568, 621, 2807, 19601, 343, 15871, 1321, 692, 273, 343, 815, 476, 3066, 1341, 476, 276, 815, 476, 4097, 454, 343, 815, 476, 4097, 270, 273, 815, 476, 1704, 692, 763, 1866, 1413, 21453, 269, 0, 1012, 14349, 267, 476, 273, 5988, 476, 1001, 274, 692, 2162, 4208, 12540, 1400, 1942, 7455, 22613, 519, 19105, 11192, 8779, 7455, 543, 519, 19105, 24438, 8779, 7455, 693, 741, 5934, 1448, 780, 8269, 518, 547, 4137, 476, 272, 2016, 2630, 780, 14808, 476, 272, 692, 5472, 519, 1239, 568, 3144, 689, 519, 5750, 538, 519, 5816, 593, 834, 3963, 519, 7443, 568, 12366, 2213, 950, 519, 8589, 1942, 7455, 22613, 519, 8589, 8907, 7455, 5016, 293, 9711, 547, 2015, 692, 272, 269, 19105, 2698, 1942, 7455, 568, 513, 4729, 540, 519, 3328, 2698, 3790, 585, 782, 519, 1114, 9424, 4358, 689, 4642, 2504, 269, 634, 2473, 7852, 568, 519, 7274, 267, 543, 519, 962, 7852, 568, 519, 11083, 290, 269, 901, 7455, 1101, 19527, 18746, 267, 1287, 10301, 513, 5377, 543, 1287, 19527, 16057, 780, 273, 269, 19105, 4756, 1942, 7455, 814, 519, 1482, 4162, 540, 519, 11083, 290, 7455, 267, 855, 2141, 13978, 2630, 519, 11083, 290, 7455, 693, 782, 519, 2798, 269, 634, 3017, 1063, 519, 2418, 540, 519, 14258, 568, 519, 6378, 1942, 780, 274, 269, 4595, 782, 519, 1614, 14258, 814, 7274, 538, 519, 1535, 7852, 267, 782, 540, 873, 666, 581, 6537, 1927, 269, 634, 14330, 7455, 849, 1101, 19527, 18746, 267, 10301, 513, 5377, 543, 1287, 6238, 1793, 14563, 16057, 269, 634, 14330, 7455, 1101, 22613, 519, 20724, 290, 7455, 543, 1287, 519, 11083, 290, 7455, 693, 741, 9757, 4420, 1682, 269, 28582, 547, 513, 3044, 1257, 593, 519, 1966, 780, 12839, 7545, 5231, 2433, 29894, 5231, 11192, 1942, 454, 323, 12839, 7545, 2433, 29894, 476, 1109, 27087, 538, 2698, 1942, 454, 31357, 7545, 476, 1109, 281, 29894, 5231, 24438, 1942, 454, 2969, 290, 30336, 1109, 281, 29894, 476, 1109, 30182, 2698, 1942, 282, 8028, 568, 519, 3328, 1942, 454, 323, 2969, 290, 476, 1109, 281, 29894, 476, 1109, 27087, 538, 11083, 290, 454, 16787, 290, 5231, 2433, 29894, 476, 1109, 30182, 4756, 1942, 282, 966, 290, 568, 519, 4756, 1942, 454, 323, 16787, 290, 2433, 29894, 5231, 7827, 538, 20724, 290, 454, 15598, 7545, 476, 1109, 281, 29894, 5231, 674, 12089, 8779, 563, 304, 7545, 30336, 1109, 281, 29894, 476, 1109, 23797, 640, 563, 323, 304, 7545, 476, 1109, 281, 29894, 476, 1109, 27087, 538, 10829, 640, 563, 10157, 7545, 2433, 29894, 476, 1109, 300, 1173, 1400, 1942, 563, 10157, 30336, 1109, 284, 29894, 546, 12839, 7933, 304, 454, 12839, 7545, 815, 29894, 476, 1109, 31357, 1341, 674, 290, 454, 323, 12839, 5231, 815, 29894, 476, 1109, 323, 31357, 266, 323, 15598, 692, 3719, 2094, 674, 290, 568, 519, 6378, 1942, 543, 676, 4214, 1281, 711, 1689, 267, 546, 15598, 815, 476, 271, 692, 3383, 546, 12839, 284, 323, 31357, 692, 3383, 14330, 815, 546, 31357, 7933, 304, 692, 1607, 1797, 602, 8589, 1942, 267, 799, 568, 519, 1689, 538, 2698, 1942, 829, 1770, 540, 7274, 568, 4890, 344, 3361, 676, 519, 1689, 538, 4756, 1942, 1152, 269, 3767, 1934, 519, 2243, 568, 1946, 519, 8589, 1942, 7455, 22613, 519, 19105, 2698, 1942, 7455, 543, 519, 19105, 4756, 1942, 7455, 693, 741, 9757, 4420, 1682, 780, 13706 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2652, 834, 274, 257, 6769, 1038, 1433, 12173, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 519, 1433, 281, 834, 3418, 1038, 2278, 815, 3403, 263, 834, 8923, 4283, 519, 2278, 540, 519, 1433, 281, 834, 476, 3418, 1038, 17404, 815, 3403, 263, 834, 8923, 4283, 519, 17404, 540, 519, 1433, 281, 834, 476, 3418, 1038, 9135, 815, 3403, 263, 834, 8923, 4283, 519, 9135, 540, 519, 1433, 281, 834, 476, 3418, 1038, 7160, 815, 703, 9272, 263, 834, 8923, 4283, 519, 7160, 540, 519, 1433, 281, 834, 3738, 3418, 1038, 1820, 263, 27719, 333, 257, 476, 10142, 1038, 1433, 815, 26643, 269, 9349, 263, 1433, 12173, 267, 2278, 267, 17404, 267, 9135, 267, 7160, 476, 3418, 1038, 5399, 14491, 9349, 263, 1504, 10142, 825, 8640, 5106, 2652, 834, 275, 257, 6769, 1038, 1433, 12173, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 519, 1433, 281, 834, 10142, 1038, 2119, 6769, 2018, 5399, 31927, 9349, 263, 1504, 12173, 3418, 2018, 1820, 2891, 20486, 616, 6707, 6569, 1701, 3418, 1038, 4849, 6769, 2018, 1820, 2891, 2304, 5470, 814, 1624, 3293, 1701, 10142, 825, 8640, 5106, 2652, 834, 276, 257, 6769, 1038, 1433, 12173, 815, 3403, 263, 834, 8923, 4283, 519, 2012, 540, 519, 1433, 281, 834, 476, 10142, 1038, 2119, 6769, 2018, 5399, 269, 26303, 292, 1288, 263, 1433, 12173, 476, 3418, 2018, 1820, 2891, 292, 1288, 814, 6707, 1044, 8242, 1701, 3418, 1038, 4849, 476, 272, 6769, 2018, 1820, 2891, 2304, 5470, 814, 1624, 3293, 1701, 10142, 0, 5814, 942, 454, 258, 4754, 946, 942, 547, 1711, 533, 13415, 692, 258, 335, 6372, 6345, 6114, 454, 24987, 318, 272, 815, 834, 272, 4840, 24987, 318, 273, 815, 834, 273, 4840, 24987, 318, 274, 815, 834, 274, 4840, 13433, 815, 22373, 312, 2580, 834, 344, 2580, 834, 13433, 31116, 7224, 815, 22373, 301, 2580, 834, 333, 2580, 834, 7224, 257, 6540, 258, 15953, 338, 547, 4584, 909, 2059, 519, 1259, 454, 823, 7272, 1157, 815, 476, 271, 454, 339, 1157, 564, 815, 476, 271, 692, 258, 332, 1389, 2386, 5551, 1267, 568, 4607, 454, 7528, 1600, 815, 9497, 315, 333, 18744, 946, 476, 272, 267, 476, 273, 267, 610, 476, 274, 547, 2626, 1034, 2055, 1422, 333, 15419, 258, 5035, 585, 2012, 454, 5035, 26761, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 692, 2745, 2891, 15916, 256, 1548, 568, 707, 2012, 286, 5602, 16651, 815, 26761, 9272, 2891, 22056, 513, 1007, 2012, 585, 707, 1915, 27363, 2745, 263, 16651, 20508, 2020, 258, 11034, 609, 4367, 3296, 540, 3014, 454, 3698, 25644, 10031, 825, 1948, 15884, 1305, 519, 6429, 454, 825, 1820, 630, 18851, 8702, 4787, 328, 13738, 8496, 1145, 256, 1411, 2811, 593, 31530, 7999, 5124, 13738, 2336, 825, 2991, 513, 28594, 541, 2917, 6640, 593, 519, 19527, 267, 596, 1265, 3054, 827, 3368, 1259, 909, 454, 825, 519, 7823, 269, 1411, 4312, 2141, 4941, 547, 1491, 519, 1164, 18286, 12740, 547, 519, 1283, 454, 825, 540, 519, 7823, 269, 476, 2353, 596, 991, 568, 707, 12740, 19044, 256, 17677, 2638, 602, 596, 454, 825, 723, 621, 267, 543, 1287, 649, 3513, 581, 4712, 547, 979, 256, 3269, 5602, 825, 1948, 23437, 599, 547, 2285, 942, 547, 1224, 454, 825, 942, 4732, 2748, 263, 278, 994, 825, 1820, 2891, 1862, 3832, 9535, 585, 19044, 907, 23528, 825, 942, 4732, 2748, 263, 274, 2020, 258, 13765, 585, 12740, 19044, 454, 3698, 2638, 10031, 825, 952, 19044, 2652, 476, 271, 912, 1038, 1820, 2891, 3269, 15121, 12971, 30314, 898, 4667, 602, 707, 12740, 19044, 3884, 1405, 593, 707, 454, 1038, 29075, 269, 476, 9453, 707, 19044, 267, 596, 4465, 1405, 581, 2111, 547, 11878, 1022, 20744, 454, 1038, 3076, 1206, 593, 519, 7823, 269, 476, 1548, 616, 596, 2469, 547, 798, 1985, 11631, 286, 3269, 5602, 1038, 942, 4732, 2748, 263, 278, 994, 1038, 1948, 9953, 687, 585, 1018, 547, 798, 827, 7508, 12740, 19044, 454, 1038, 1820, 2891, 3269, 454, 1038, 476, 272, 269, 8347, 547, 13472, 2250, 519, 12740, 7390, 656, 454, 1038, 476, 273, 269, 23063, 1524, 538, 519, 6777, 543, 3956, 454, 1038, 476, 274, 269, 4787, 328, 2066, 547, 29154, 571, 781, 623, 2720, 3726, 267, 519, 13009, 602, 596, 1175, 3357, 689, 3269, 5602, 1038, 1948, 14140, 3903, 454, 1038, 3903, 815, 3403, 2891, 24257, 19515, 1038, 952, 3903, 538, 2626, 318, 272, 912, 2018, 1948, 2998, 525, 547, 14229, 752, 1599, 454, 2018, 4781, 5334, 928, 752, 4590, 1038, 1948, 16149, 3903, 454, 1038, 8640, 3903, 538, 2626, 318, 273, 912, 2018, 1948, 323, 625, 454, 2018, 1820, 630, 18851, 315, 333, 310, 20234, 530, 20234, 530, 20234, 269, 634, 4411, 568, 711, 585, 519, 4617, 13463, 14975, 454, 2018, 1422, 333, 14826, 2791, 5747, 256, 3269, 5602, 1038, 1948, 628, 2273, 3903, 454, 1038, 8640, 3903, 538, 2626, 318, 274, 912, 2018, 1948, 2998, 525, 547, 3406, 1599, 454, 2018, 4781, 318, 14142, 272, 4590, 1038, 3116, 912, 2018, 1948, 8145, 785, 6345, 540, 2009, 11378, 543, 2132, 547, 4098, 454, 2018, 1820, 630, 7528, 1600, 994, 2018, 2638, 4590, 825, 3116, 912, 1038, 1948, 604, 519, 6345, 2907, 814, 513, 19044, 538, 519, 11891, 454, 1038, 1820, 2891, 20238, 256, 1411, 2811, 593, 707, 1259, 547, 519, 1283, 540, 519, 7823, 5602, 1038, 4781, 4671, 641, 10797, 258, 1729, 3406, 593, 3105, 13009, 454, 3698, 4781, 318, 14142, 272, 10031, 825, 942, 4732, 2748, 263, 276, 994, 825, 1820, 630, 18851, 315, 333, 2791, 20744, 5594, 15081, 650, 936, 547, 29154, 571, 781, 623, 2720, 3726, 269, 476, 1411, 20744, 1524, 454, 825, 519, 13009, 267, 855, 596, 666, 1405, 3100, 547, 1265, 707, 19044, 269, 476, 14348, 596, 454, 825, 899, 547, 907, 27969, 994, 825, 942, 4732, 2748, 263, 275, 994, 825, 1820, 630, 12163, 825, 476, 272, 269, 12315, 909, 543, 18992, 547, 14229, 1136, 2250, 519, 12740, 7390, 656, 454, 825, 476, 273, 269, 1684, 1776, 30908, 936, 29154, 571, 781, 623, 2720, 3726, 454, 825, 476, 274, 269, 9612, 519, 645, 22324, 10830, 267, 1141, 596, 3636, 539, 909, 713, 6640, 3269, 5602, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 14140, 3903, 454, 825, 952, 3903, 538, 2626, 318, 272, 912, 1038, 1948, 2998, 525, 547, 14229, 752, 4781, 454, 1038, 4781, 5334, 928, 752, 4590, 825, 1948, 16149, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 273, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 630, 18851, 315, 333, 2791, 4956, 547, 20744, 936, 29154, 571, 781, 20417, 1586, 267, 855, 454, 1038, 1247, 10478, 596, 3893, 513, 3787, 1932, 2673, 547, 519, 6316, 543, 8593, 454, 1038, 476, 4968, 3952, 256, 476, 1422, 333, 14826, 2791, 5747, 256, 3269, 5602, 825, 1948, 628, 2273, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 274, 912, 1038, 1948, 15884, 3406, 536, 22324, 14629, 454, 1038, 4781, 318, 14142, 273, 4590, 825, 3116, 912, 1038, 1948, 335, 668, 696, 547, 4584, 2953, 3210, 543, 1964, 691, 519, 1599, 454, 1038, 1820, 630, 7528, 1600, 994, 1038, 4781, 318, 14142, 272, 10797, 258, 1729, 14229, 752, 2250, 12740, 7390, 656, 454, 3698, 4781, 5334, 928, 752, 10031, 825, 1820, 2891, 3269, 2791, 1205, 883, 519, 22125, 1899, 540, 11235, 1236, 4512, 619, 7996, 547, 4604, 519, 454, 825, 1164, 3432, 12740, 547, 519, 1283, 269, 634, 2451, 7390, 656, 568, 10992, 519, 17914, 540, 454, 825, 1142, 20744, 1512, 269, 476, 1411, 2119, 547, 1832, 707, 2212, 1524, 543, 13472, 676, 267, 855, 519, 7390, 656, 454, 825, 711, 1182, 602, 596, 1810, 1405, 723, 707, 19044, 804, 5792, 547, 707, 29075, 563, 825, 1548, 798, 596, 798, 1985, 286, 3269, 5602, 825, 1948, 5503, 547, 1224, 454, 825, 942, 4732, 2748, 263, 279, 994, 825, 1948, 9953, 687, 454, 825, 1820, 2891, 3269, 454, 825, 476, 272, 269, 744, 21161, 519, 3652, 543, 31635, 1900, 856, 540, 1899, 454, 825, 476, 273, 269, 774, 992, 909, 513, 4708, 1129, 543, 5577, 593, 519, 12740, 19037, 454, 825, 476, 274, 269, 5192, 911, 332, 9482, 676, 519, 12740, 7390, 656, 3269, 5602, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 14140, 3903, 454, 825, 952, 3903, 538, 2626, 318, 272, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 2891, 16729, 519, 3652, 786, 1205, 596, 1100, 1141, 26142, 333, 14826, 2791, 5747, 32405, 825, 1948, 16149, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 273, 912, 1038, 1948, 516, 1189, 676, 2469, 547, 519, 1283, 540, 519, 7823, 454, 1038, 1820, 2891, 3269, 305, 529, 5652, 1847, 267, 855, 594, 899, 707, 2511, 256, 5556, 337, 1846, 267, 596, 2811, 593, 707, 454, 1038, 1259, 547, 519, 1283, 27969, 994, 1038, 1948, 10818, 547, 1491, 6345, 547, 519, 1283, 454, 1038, 4781, 4671, 641, 4590, 825, 1948, 628, 5090, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 274, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 2891, 3269, 7312, 23535, 7190, 786, 1205, 596, 7166, 269, 476, 1411, 4312, 1044, 911, 332, 9482, 676, 454, 1038, 519, 8616, 328, 269, 1422, 333, 14826, 1411, 5747, 256, 3269, 5602, 825, 3116, 912, 1038, 1948, 335, 668, 696, 547, 4584, 513, 4570, 3210, 454, 1038, 1820, 263, 7528, 1600, 994, 1038, 1948, 6135, 691, 1599, 454, 1038, 4781, 5334, 928, 752, 10797, 258, 14142, 519, 536, 22324, 14629, 454, 3698, 4781, 318, 14142, 273, 10031, 825, 1820, 630, 18851, 315, 333, 2791, 20744, 1524, 547, 519, 536, 22324, 14629, 267, 855, 596, 1274, 513, 10978, 1989, 18443, 454, 825, 4947, 689, 3297, 596, 269, 476, 898, 781, 513, 8616, 328, 30314, 8627, 476, 24664, 1176, 267, 596, 5469, 606, 4672, 454, 825, 4584, 593, 519, 2666, 269, 1684, 596, 4584, 621, 909, 269, 962, 21610, 286, 3269, 5602, 825, 1948, 335, 668, 696, 547, 4431, 547, 2436, 610, 711, 6345, 6499, 547, 4584, 909, 4672, 4584, 454, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 1492, 6345, 814, 519, 4672, 4584, 454, 825, 952, 3903, 538, 9811, 912, 1038, 4672, 7272, 1157, 815, 476, 272, 454, 825, 1948, 1492, 6345, 3085, 1405, 723, 519, 4672, 4584, 454, 825, 3116, 912, 1038, 4672, 7272, 1157, 815, 476, 271, 454, 825, 1948, 2532, 827, 875, 547, 4194, 8616, 328, 1966, 454, 825, 1820, 9497, 315, 333, 1432, 798, 596, 798, 1985, 286, 5602, 825, 1948, 5503, 547, 1224, 454, 825, 942, 4732, 2748, 263, 275, 994, 825, 1948, 9953, 687, 585, 1018, 547, 798, 454, 825, 1820, 630, 12163, 825, 476, 272, 269, 31674, 3297, 513, 6777, 23810, 899, 519, 10800, 731, 596, 616, 454, 825, 476, 273, 269, 674, 697, 519, 8616, 328, 454, 825, 476, 274, 269, 14840, 3269, 5602, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 14140, 3903, 454, 825, 952, 3903, 538, 2626, 318, 272, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 630, 18851, 315, 333, 3725, 958, 286, 1411, 2811, 2469, 547, 12404, 3297, 513, 1687, 2917, 18061, 540, 6777, 888, 1038, 9894, 596, 917, 602, 8616, 529, 723, 513, 16994, 2631, 540, 9329, 286, 476, 654, 5085, 303, 2483, 1038, 1358, 798, 267, 865, 1862, 3891, 729, 2111, 547, 3950, 596, 1524, 538, 513, 2339, 540, 7643, 563, 1038, 1422, 333, 14826, 2791, 5747, 256, 3269, 5602, 825, 1948, 16149, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 273, 912, 1038, 952, 4672, 7272, 1157, 3436, 476, 271, 912, 1038, 1948, 16651, 814, 519, 4672, 4584, 543, 568, 827, 547, 4339, 519, 8616, 328, 454, 2018, 1820, 630, 18851, 315, 333, 2791, 3576, 12062, 3297, 519, 7404, 6777, 23810, 269, 634, 454, 2018, 695, 20810, 532, 4672, 4584, 13631, 519, 8616, 328, 267, 945, 729, 1978, 602, 596, 454, 2018, 1131, 581, 1010, 12129, 269, 1261, 1212, 696, 6251, 543, 6251, 267, 543, 707, 27374, 454, 2018, 2968, 17570, 344, 538, 707, 17309, 269, 634, 8616, 328, 6836, 547, 3914, 856, 547, 10544, 454, 2018, 707, 4672, 4584, 267, 855, 596, 941, 1932, 2656, 585, 1864, 256, 1411, 588, 629, 5523, 1010, 24566, 454, 2018, 9221, 607, 646, 16686, 883, 519, 6777, 27969, 994, 2018, 1948, 5503, 547, 1224, 454, 2018, 942, 4732, 2748, 263, 1556, 994, 2018, 1820, 2891, 3269, 2791, 15068, 519, 8616, 328, 8627, 26008, 3269, 5602, 2018, 1820, 2891, 3269, 25898, 596, 899, 547, 2483, 2018, 1948, 9953, 687, 585, 1018, 547, 798, 1310, 7639, 519, 8616 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 1200, 3802, 286, 2759, 856, 3197, 547, 1747, 538, 1114, 7158, 593, 519, 4786, 610, 547, 3802, 689, 835, 19506, 547, 1776, 269, 1215, 1082, 3268, 1522, 621, 1491, 286, 1548, 1131, 519, 4365, 581, 899, 888, 9349, 476, 275, 910, 1924, 13518, 454, 9349, 476, 275, 910, 11242, 454, 307, 1779, 621, 856, 910, 1607, 1650, 568, 782, 827, 1920, 543, 16873, 267, 2911, 827, 707, 1378, 1920, 267, 2995, 707, 1920, 2984, 267, 950, 1705, 596, 2063, 723, 513, 11812, 286, 1548, 729, 519, 11812, 585, 286, 1879, 568, 707, 1985, 1920, 11812, 888, 8002, 621, 856, 268, 5620, 513, 27642, 14512, 5428, 609, 9162, 267, 2206, 21543, 30053, 5903, 540, 12502, 2044, 681, 1506, 6996, 267, 22843, 1227, 454, 13014, 513, 1166, 777, 1433, 910, 5269, 513, 1166, 777, 1433, 267, 2721, 5961, 540, 2828, 543, 1920, 538, 707, 1166, 777, 1433, 267, 2911, 827, 1142, 835, 1018, 2306, 873, 2027, 888, 9349, 476, 276, 910, 634, 2051, 712, 30947, 454, 9349, 476, 276, 910, 9452, 11473, 454, 9349, 476, 276, 910, 11242, 454, 307, 1779, 621, 856, 910, 2911, 827, 938, 4664, 267, 875, 649, 949, 1745, 4544, 630, 338, 611, 264, 610, 5835, 630, 327, 7026, 1040, 1215, 616, 649, 4743, 1318, 1631, 563, 8002, 621, 856, 910, 1118, 18461, 902, 20599, 6529, 12470, 1115, 910, 2759, 856, 5961, 540, 519, 7990, 28749, 267, 15441, 610, 20013, 891, 547, 561, 14709, 1402, 16853, 269, 2422, 891, 547, 957, 856, 519, 1650, 610, 547, 1865, 4606, 563, 13729, 909, 8900, 30660, 585, 1142, 7990, 267, 609, 513, 7222, 7990, 18351, 910, 513, 18899, 267, 890, 321, 1076, 267, 596, 1223, 1256, 20004, 930, 18437, 609, 5862, 630, 5408, 2630, 585, 5528, 1040, 5192, 707, 1126, 547, 1039, 513, 18351, 8164, 789, 1616, 547, 2769, 606, 7553, 2807, 6518, 835, 25361, 909, 16595, 888, 1805, 800, 2452, 910, 31674, 707, 7990, 20599, 2759, 16080, 1472, 519, 2777, 543, 723, 513, 6968, 269, 13185, 827, 1142, 4743, 607, 596, 1265, 873, 269, 0, 309, 807, 30647, 1400, 324, 19067, 320, 595, 842, 807, 476, 2641, 454, 763, 1292, 1382, 2127, 538, 25115, 9609, 6161, 519, 12627, 7998, 267, 7293, 6988, 543, 1062, 18267, 540, 1585, 2516, 540, 24485, 919, 543, 1875, 1606, 32281, 919, 267, 3490, 4496, 268, 543, 681, 7417, 24481, 6886, 267, 1979, 7631, 5644, 267, 21889, 267, 3092, 269, 5525, 593, 5872, 543, 1764, 540, 4359, 19915, 7645, 2326, 630, 6588, 325, 2940, 267, 7720, 306, 273, 267, 654, 306, 273, 264, 609, 6211, 3283, 616, 5645, 856, 269, 634, 10763, 2553, 1031, 676, 519, 3173, 267, 1312, 538, 4144, 4306, 2752, 20682, 543, 538, 824, 3621, 6997, 338, 267, 616, 9804, 22794, 267, 2473, 11920, 8869, 32250, 630, 311, 305, 11520, 1070, 2582, 2275, 15009, 531, 2473, 11920, 32250, 630, 17092, 29930, 31686, 1070, 17655, 630, 306, 4932, 264, 543, 959, 553, 3939, 630, 307, 4932, 6953, 20670, 4932, 264, 6475, 22794, 609, 2890, 534, 4519, 630, 3633, 306, 267, 654, 9169, 267, 589, 4932, 1070, 18342, 21655, 630, 293, 2316, 305, 1070, 2473, 11920, 28264, 630, 311, 27184, 1070, 594, 9573, 268, 5308, 26563, 4479, 267, 22244, 7034, 26563, 4479, 630, 5632, 12299, 1863, 1505, 1070, 8143, 9382, 630, 307, 294, 5937, 14011, 1070, 3092, 269, 30200, 689, 3864, 543, 3063, 26049, 2127, 616, 6594, 267, 607, 590, 2174, 320, 13305, 525, 12320, 3780, 18962, 267, 1912, 5586, 571, 6756, 29425, 267, 590, 731, 27091, 267, 32595, 267, 5177, 267, 8581, 267, 19360, 267, 19934, 267, 12996, 267, 5333, 267, 5245, 267, 18475, 267, 3162, 4000, 267, 7330, 267, 3092, 269, 0, 8722, 564, 1831, 4130, 950, 596, 6336, 2597, 269, 901, 568, 1813, 547, 519, 1249, 602, 950, 596, 723, 1447, 3170, 972, 568, 811, 4055, 585, 519, 7633, 547, 1491, 909, 2230, 269, 634, 1739, 616, 930, 4277, 5013, 827, 707, 3952, 602, 596, 949, 711, 917, 563, 7312, 32243, 3657, 12830, 454, 7312, 3952, 616, 5393, 1271, 269, 3502, 1152, 798, 789, 948, 2226, 707, 3666, 1247, 7555, 543, 6972, 267, 855, 789, 849, 1404, 513, 2629, 1909, 538, 519, 1697, 8647, 540, 707, 1560, 269, 634, 1977, 12128, 5948, 4967, 519, 1739, 2640, 950, 621, 2501, 547, 707, 3952, 912, 268, 634, 1072, 540, 707, 3952, 5540, 519, 1072, 540, 707, 1560, 563, 268, 20056, 532, 538, 4247, 602, 2154, 4222, 543, 3666, 267, 971, 607, 6972, 267, 4881, 267, 543, 16246, 24383, 267, 949, 2149, 596, 1996, 1978, 2010, 540, 11871, 563, 268, 769, 2489, 267, 1697, 6484, 540, 707, 3952, 949, 2569, 707, 1981, 540, 2295, 2068, 543, 8482, 563, 268, 6153, 1072, 540, 707, 3952, 949, 2087, 519, 5920, 543, 1745, 540, 707, 3003, 1560, 563, 268, 853, 12177, 707, 10051, 609, 2635, 1426, 8925, 267, 971, 607, 4195, 5613, 543, 5388, 267, 949, 948, 707, 3952, 3914, 741, 5021, 1761, 563, 4322, 2640, 1118, 621, 1360, 2312, 602, 596, 991, 547, 1491, 1434, 1416, 540, 707, 3952, 269, 1411, 1058, 711, 581, 8380, 3054, 538, 2800, 779, 1259, 676, 7446, 547, 18178, 6980, 610, 979, 593, 4189, 536, 532, 525, 269, 6875, 513, 1906, 3764, 1169, 1554, 547, 1118, 2386, 707, 3952, 616, 2635, 543, 596, 666, 2972, 782, 519, 2640, 602, 519, 1416, 543, 3007, 547, 1469, 666, 2285, 596, 563, 7312, 1677, 525, 3657, 1744, 7163, 20537, 1411, 6056, 454, 307, 4176, 19462, 616, 513, 1455, 3364, 269, 1358, 616, 1419, 2808, 513, 1129, 540, 1072, 543, 5898, 269, 1717, 267, 1705, 596, 917, 602, 707, 19462, 2965, 723, 513, 3483, 286, 1358, 2461, 972, 547, 960, 609, 707, 3946, 547, 948, 2226, 1697, 1560, 1599, 269, 2913, 779, 1491, 513, 1413, 693, 1946, 707, 19462, 616, 2110, 543, 875, 596, 666, 1118, 873, 1332, 912, 268, 1879, 596, 1847, 707, 3946, 267, 707, 19462, 1847, 2059, 609, 873, 547, 1832, 538, 1900, 269, 901, 568, 1946, 950, 596, 616, 7555, 543, 3001, 267, 707, 19462, 786, 2141, 581, 538, 519, 2011, 269, 1306, 513, 1267, 267, 789, 786, 2110, 523, 543, 1831, 6793, 563, 268, 667, 3496, 610, 3257, 1022, 1826, 540, 3635, 602, 3340, 3350, 267, 899, 10977, 267, 3123, 707, 19462, 547, 1332, 269, 898, 568, 849, 835, 540, 519, 4128, 1946, 3214, 6336, 741, 23179, 4552, 607, 789, 1205, 4587, 269, 4256, 3586, 3350, 3123, 741, 18969, 547, 1332, 883, 741, 27374, 2336, 268, 29303, 593, 513, 6366, 2627, 609, 31623, 2306, 707, 3952, 3476, 1317, 519, 2597, 568, 1373, 7856, 811, 14961, 2066, 707, 3952, 269, 901, 7512, 707, 19462, 547, 1332, 3476, 563, 268, 8347, 9849, 10887, 609, 3076, 1206, 547, 1118, 707, 19462, 2408, 3476, 563, 268, 3680, 10887, 602, 723, 1164, 31623, 607, 789, 786, 2014, 596, 547, 3802, 538, 606, 27105, 6073, 267, 799, 849, 7512, 707, 19462, 547, 1332, 563, 268, 1677, 2061, 707, 3952, 689, 4742, 1932, 2110, 267, 1118, 2386, 596, 616, 8380, 873, 593, 5265, 269, 6744, 519, 4463, 540, 707, 10887, 547, 1118, 2386, 621, 568, 6899, 585, 707, 3952, 269, 4746, 267, 952, 596, 616, 9849, 26852, 609, 707, 10887, 267, 1118, 2386, 789, 616, 711, 4929, 707, 19462, 547, 3262, 269, 590, 4169, 609, 31623, 786, 849, 5000, 707, 19462, 547, 1332, 563, 7312, 1677, 324, 22458, 13201, 589, 17217, 454, 12441, 596, 917, 602, 707, 23179, 24827, 723, 513, 2601, 286, 1358, 616, 972, 547, 2149, 707, 18969, 689, 3478, 3676, 543, 5563, 269, 1403, 596, 798, 711, 5781, 19081, 707, 19462, 267, 519, 4552, 593, 873, 786, 1831, 2150, 3139, 543, 6067, 6470, 267, 4929, 596, 547, 6336, 519, 561, 13831, 540, 707, 18969, 269, 634, 1739, 616, 930, 3676, 602, 616, 4122, 1336, 538, 2150, 3234, 4364, 23179, 4552, 912, 268, 23580, 19095, 281, 901, 568, 606, 3968, 3361, 676, 513, 21313, 602, 2729, 538, 519, 13897, 269, 898, 568, 1034, 4122, 1336, 538, 1453, 779, 1404, 7741, 267, 855, 666, 849, 581, 1336, 538, 10130, 269, 634, 21313, 3468, 338, 922, 3984, 950, 621, 17486, 873, 267, 2356, 1247, 31153, 269, 634, 31153, 3123, 519, 4552, 547, 1831, 6534, 267, 1818, 621, 4443, 585, 519, 21313, 547, 561, 2255, 5196, 922, 3984, 269, 634, 1034, 1455, 10835, 540, 8258, 19095, 568, 513, 2699, 16420, 1472, 519, 1858, 1141, 519, 4552, 10742, 519, 14950, 540, 519, 9416, 269, 634, 16420, 949, 621, 577, 543, 581, 10483, 676, 8611, 543, 24852, 269, 769, 4049, 2665, 267, 621, 666, 1291, 547, 519, 17970, 4742, 1033, 3737, 610, 1256, 9991, 1055, 563, 268, 3474, 3415, 577, 807, 281, 901, 568, 606, 3968, 3361, 676, 513, 4551, 1572, 28342, 14137, 553, 269, 898, 568, 1034, 4122, 1336, 538, 10887, 543, 26852, 543, 568, 6353, 676, 6553, 267, 11926, 267, 543, 25017, 540, 519, 5160, 1472, 519, 17970, 269, 634, 1034, 1455, 10835, 540, 1612, 3415, 577, 807, 568, 1928, 543, 25017, 1472, 519, 18969, 563, 268, 8278, 22915, 281, 901, 568, 606, 6553, 540, 519, 2960, 602, 3123, 32105, 543, 25017, 269, 898, 568, 1034, 4122, 1336, 538, 519, 1858, 1063, 519, 18969, 543, 519, 2960, 269, 634, 2783, 666, 581, 22420, 610, 3361, 676, 11959, 610, 2566, 269, 634, 2126, 585, 26253, 568, 2356, 22521, 543, 949, 1331, 1212, 4461, 267, 522, 842, 906, 267, 543, 3819, 2960, 530, 6346, 269, 634, 3119, 2014, 540, 26253, 568, 7164, 267, 855, 621, 568, 2219, 547, 581, 1813, 547, 606, 19261, 540, 519, 2960, 779, 4761, 1062, 563, 268, 4563, 14272, 281, 901, 568, 513, 16507, 3968, 602, 666, 3468, 707, 3952, 267, 4929, 873, 547, 2408, 3109, 269, 634, 3968, 568, 1034, 4122, 1336, 538, 9341, 16374, 543, 1851, 1004, 609, 4057, 9882, 269, 634, 1034, 1455, 10835, 540, 4563, 14272, 568, 11926, 593, 519, 2427, 540, 519, 3723, 6849, 519, 12597, 269, 1403, 2451, 15860, 267, 621, 666, 1291, 547, 1591, 592, 4345, 543, 1256, 23170, 8598, 269, 634, 2126, 585, 713, 2783, 568, 2356, 30624, 25193, 6646, 543, 513, 1689, 538, 707, 21489, 2511, 630, 327, 10884, 25192, 3079, 540, 3138, 2378, 619, 610, 1930, 3562, 539, 10887, 1916, 7312, 715, 5661, 3657, 23977, 1676, 762, 454, 12441, 596, 917, 602, 707, 18969, 616, 7925, 286, 1358, 616, 3362, 10413, 543, 666, 1831, 7783, 952, 711, 3144, 1416, 540, 5265, 269, 634, 1739, 616, 930, 4388, 593, 875, 547, 2149, 707, 18969, 1247, 1869, 11981, 519, 2640, 602, 2097, 609, 2921, 1416, 540, 873, 912, 268, 25169, 707, 18969, 1169, 1554, 609, 12853, 543, 1216, 547, 1832, 873, 2973, 543, 1863, 540, 13897, 543, 3282, 602, 949, 2014, 873, 547, 1831, 4617, 563, 268, 1684, 711, 3548, 3536, 609, 13365, 610, 6070, 602, 616, 4122, 1336, 538, 3728, 1426, 14060, 269, 1452, 3536, 4043, 547, 2014, 707, 18969, 547, 1831, 4617, 563, 268, 5269, 2386, 547, 1832, 707, 18969, 19872, 676, 6704, 7899, 540, 1216, 3232, 269, 774, 8089, 909, 610, 2348, 13165, 666, 849, 2014, 707, 18969, 547, 1831, 4617, 1813, 547, 519, 1249, 602, 1216, 568, 6569, 689, 707, 1560, 779, 1062, 950, 596, 616, 7210, 563, 268, 1306, 5892, 5018, 267, 707, 18969, 786, 1332, 3476, 952, 596, 5781, 3802, 610, 7544, 269, 8347, 532, 513, 1007, 7328, 610, 2921, 909, 513, 1007, 15908, 949, 849, 5000, 707, 18969, 547, 1332, 269, 1717, 267, 581, 6297, 711, 547, 7903, 707, 1560, 1932, 2182, 607, 713, 666, 2014, 3441, 563, 268, 1411, 1058, 711, 5957, 17970, 32432, 607, 621, 786, 6094, 707, 18969, 543, 1118, 873, 811, 7925, 547, 3441, 563, 268, 3680, 4189, 26265, 607, 789, 949, 2014, 5694, 9178, 543, 3968, 269, 4746, 267, 2760, 25261, 593, 18969, 607, 621, 1223, 3441, 707, 4522, 563, 268, 1677, 2057, 1022, 7063, 267, 1118, 2386, 596, 616, 9849, 1697, 10887, 543, 26852, 1247, 28185, 3101, 610, 4881, 269, 5620, 513, 3318, 8524, 707, 14229, 5474, 547, 1118, 2386, 789, 616, 540, 1434, 2298, 543, 723, 519, 1697, 17501, 269, 4746, 267, 519, 1570, 540, 519, 21489, 1058, 581, 2571, 2614, 711, 547, 2014, 3441, 547, 707, 3952, 855, 2182, 2614, 547, 1683, 5140, 20086, 593, 519, 4155, 610, 3950, 563, 268, 634, 3259, 540, 707, 18969, 666, 849, 581, 4299, 676, 707, 18969, 685, 5086, 538, 6935, 547, 519, 2627, 789, 616, 17479, 593, 269, 1403, 596, 2759, 873, 6252, 547, 519, 2627, 267, 789, 786, 1332, 2269, 7660, 543, 3476, 563, 2005, 568, 1271, 547, 4063, 602, 596, 616, 9003 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1215, 798, 596, 2973, 513, 5969, 4604, 888, 288, 269, 14109, 30257, 20841, 6926, 778, 543, 1287, 1039, 16693, 1354, 32092, 532, 2973, 563, 289, 269, 14109, 30257, 11256, 14614, 267, 1287, 1039, 16693, 547, 1711, 513, 11164, 17331, 3070, 543, 1287, 27125, 563, 12585, 281, 645, 0, 9223, 281, 3509, 3744, 17695, 1125, 602, 2518, 8337, 786, 15835, 519, 8701, 4672, 11503, 269, 1548, 1131, 1034, 2693, 4755, 952, 519, 8701, 4672, 11503, 24268, 888, 12585, 281, 7909, 2157, 1131, 2333, 269, 0, 9223, 281, 10732, 4718, 519, 3932, 540, 799, 540, 519, 2185, 9835, 590, 4594, 17281, 4663, 23788, 267, 519, 9510, 971, 29658, 538, 519, 1158, 888, 12585, 281, 476, 1001, 277, 530, 12494, 1194, 517, 23594, 4721, 0, 9223, 281, 6904, 1198, 798, 6385, 9023, 5210, 723, 593, 519, 1216, 4783, 888, 288, 269, 4826, 20256, 18493, 622, 883, 11517, 563, 289, 269, 4826, 11517, 7873, 5151, 883, 20256, 563, 290, 269, 9473, 18730, 18493, 919, 883, 13247, 563, 291, 269, 2776, 27457, 2787, 7873, 5151, 883, 1216, 20256, 563, 12585, 281, 645, 0, 9223, 281, 1548, 2749, 18799, 519, 476, 1220, 278, 2622, 26465, 923, 29073, 4721, 888, 12585, 281, 6289, 328, 9774, 23449, 5984, 0, 9223, 281, 1744, 1446, 568, 513, 24348, 4224, 602, 666, 581, 23009, 2216, 883, 1793, 622, 676, 692, 288, 269, 2781, 7695, 563, 289, 269, 3114, 29056, 563, 290, 269, 11159, 566, 563, 291, 269, 2799, 2604, 563, 12585, 281, 2799, 2604, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 5253, 543, 9373, 8877, 281, 1496, 3650, 518, 316, 1215, 547, 1118, 1025, 2658, 544, 4428, 1231, 1496, 27583, 316, 2776, 17742, 707, 14089, 269, 1496, 21163, 316, 1703, 616, 1079, 1114, 2081, 547, 1118, 9910, 1025, 2658, 544, 4428, 1231, 267, 835, 799, 3340, 18202, 28113, 543, 835, 602, 3096, 24113, 7423, 269, 634, 11600, 609, 18202, 28113, 786, 723, 811, 540, 513, 544, 4428, 514, 6438, 11007, 269, 3097, 288, 269, 634, 2034, 11600, 267, 855, 609, 24113, 7423, 267, 3340, 476, 275, 11680, 540, 2666, 28113, 543, 476, 272, 270, 273, 7484, 540, 5144, 269, 12763, 856, 891, 5820, 543, 1747, 873, 538, 513, 7893, 7484, 585, 11544, 563, 289, 269, 2060, 24113, 7423, 267, 519, 28113, 543, 24113, 7423, 786, 1205, 2770, 27918, 267, 607, 786, 519, 24113, 7423, 269, 22447, 543, 9932, 1711, 513, 1769, 267, 2770, 27918, 7848, 547, 1118, 2706, 1606, 11548, 4544, 9440, 544, 4428, 1231, 563, 290, 269, 24619, 24113, 7423, 5196, 519, 1283, 540, 519, 544, 4428, 514, 269, 645, 820, 621, 693, 476, 12573, 11019, 535, 630, 12293, 269, 279, 11019, 524, 264, 585, 827, 476, 1015, 3764, 563, 291, 269, 1717, 267, 519, 11600, 609, 24113, 7423, 568, 12863, 543, 3096, 1152, 2947, 5820, 269, 898, 781, 909, 547, 596, 799, 11600, 596, 9364, 899, 547, 1246, 256, 2991, 596, 4312, 6027, 3388, 856, 267, 3575, 782, 519, 3819, 5820, 883, 835, 12826, 585, 2653, 26311, 563, 12585, 281, 667, 0, 9223, 281, 6904, 540, 519, 1739, 1281, 10691, 1491, 1747, 538, 519, 1507, 16892, 888, 288, 269, 623, 4545, 805, 545, 9067, 848, 9397, 1524, 9600, 547, 9761, 7408, 543, 9848, 1356, 565, 563, 289, 269, 623, 788, 7562, 9397, 1524, 5946, 547, 11254, 7408, 563, 290, 269, 623, 4545, 805, 545, 26887, 848, 9397, 1524, 11950, 883, 2241, 14836, 563, 291, 269, 645, 850, 900, 6160, 5809, 9600, 883, 4130, 3170, 5536, 563, 12585, 281, 645, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 15265, 7372, 1007, 13470, 10537, 15454, 21312, 4189, 4418, 831, 834, 536, 834, 21312, 1007, 15265, 4189, 7372, 13470, 10537, 15454, 4418, 831, 834, 15017, 288, 281, 513, 0, 763, 1739, 9433, 1142, 4766, 513, 1305, 540, 5722, 3615, 11231, 538, 513, 6378, 1931, 269, 634, 6898, 616, 25401, 5812, 1369, 1142, 5037, 563, 692, 304, 281, 2201, 513, 7936, 267, 972, 616, 5722, 5017, 281, 513, 29039, 267, 513, 4544, 795, 599, 267, 513, 3775, 514, 267, 513, 23881, 935, 267, 513, 844, 841, 267, 513, 23832, 12704, 267, 543, 513, 986, 1597, 269, 634, 23881, 935, 568, 547, 519, 1318, 540, 519, 844, 841, 269, 634, 3775, 514, 568, 547, 519, 1318, 540, 519, 23832, 12704, 269, 634, 986, 1597, 568, 547, 519, 2451, 540, 519, 844, 841, 269, 634, 4544, 795, 599, 568, 519, 2034, 689, 519, 2451, 269, 634, 3775, 514, 568, 519, 3791, 689, 519, 2451, 269, 634, 29039, 568, 519, 3791, 689, 519, 1318, 269, 634, 29039, 568, 519, 3791, 689, 519, 1318, 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 ]
[ 531, 1091, 267, 543, 589, 651, 5899, 7238, 332, 269, 834, 289, 5306, 27528, 15215, 1701, 769, 4436, 27528, 3768, 15707, 27528, 15215, 267, 6032, 269, 476, 29616, 1700, 29575, 269, 853, 18636, 326, 691, 267, 476, 3192, 276, 563, 289, 517, 928, 325, 1195, 267, 962, 1407, 267, 735, 269, 834, 289, 5306, 545, 3733, 2195, 543, 15215, 595, 20975, 1701, 769, 1977, 267, 3979, 267, 543, 6196, 3864, 19088, 3098, 267, 6032, 269, 476, 25172, 1700, 26562, 269, 9628, 543, 5507, 267, 476, 1960, 274, 563, 289, 2958, 385, 378, 529, 267, 918, 5953, 337, 5894, 269, 645, 1794, 333, 13682, 30501, 642, 714, 527, 5953, 857, 9857, 1486, 758, 10008, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 272, 563, 289, 745, 385, 484, 523, 773, 802, 267, 631, 5953, 4135, 328, 385, 484, 20795, 269, 7354, 26245, 341, 773, 20795, 340, 882, 328, 384, 352, 529, 6390, 529, 533, 14505, 2737, 579, 345, 12921, 1846, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 271, 563, 289, 745, 385, 484, 523, 773, 802, 267, 631, 5953, 4135, 328, 385, 484, 20795, 269, 7354, 26245, 341, 773, 20795, 340, 700, 2727, 320, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 271, 563, 291, 1495, 592, 1329, 384, 501, 267, 2398, 534, 384, 501, 269, 7354, 990, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 2538, 6359, 320, 3352, 5378, 860, 6359, 320, 269, 966, 559, 333, 3780, 267, 476, 1960, 271, 563, 292, 514, 1817, 333, 267, 6754, 269, 654, 1221, 518, 5586, 2426, 3541, 2806, 326, 2714, 699, 344, 3768, 562, 32218, 3394, 589, 6199, 331, 879, 321, 839, 269, 15519, 320, 267, 4678, 16129, 267, 476, 14341, 278, 563, 292, 514, 1817, 333, 267, 6754, 269, 16024, 807, 32731, 3821, 281, 30605, 568, 339, 29817, 577, 516, 756, 2426, 3541, 1577, 339, 4593, 1156, 13780, 269, 16910, 6312, 267, 6480, 8205, 267, 476, 13932, 280, 563, 293, 5419, 3780, 267, 667, 542, 903, 3780, 269, 700, 643, 4577, 2801, 2351, 23706, 735, 754, 3930, 320, 3126, 267, 1225, 14397, 29775, 822, 334, 19161, 10458, 269, 853, 2335, 334, 681, 14241, 839, 328, 267, 476, 9692, 276, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 634, 7195, 1206, 269, 5507, 543, 1715, 3840, 267, 476, 3422, 274, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 8110, 330, 19476, 19063, 270, 8110, 684, 267, 519, 774, 8974, 2696, 540, 519, 7195, 1206, 543, 519, 23577, 338, 1701, 4750, 540, 21475, 26049, 5525, 476, 272, 267, 1100, 269, 476, 275, 630, 3192, 274, 2567, 476, 5379, 277, 1700, 275, 4281, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 763, 26403, 1014, 2696, 20653, 333, 5362, 1701, 769, 19088, 538, 21475, 26049, 4165, 18709, 267, 12995, 676, 717, 14283, 6276, 700, 1513, 517, 267, 6032, 269, 476, 9262, 1700, 10844, 269, 20588, 543, 11968, 13353, 267, 476, 3192, 275, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 289, 5306, 545, 700, 2727, 320, 1701, 769, 634, 5678, 540, 519, 31001, 281, 1133, 792, 2251, 519, 26726, 29062, 540, 5375, 31511, 267, 6032, 269, 476, 1556, 1700, 13647, 269, 5842, 12770, 267, 476, 2735, 280, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 763, 27397, 15215, 1701, 769, 634, 12389, 31001, 525, 267, 6032, 269, 476, 3192, 1700, 21497, 269, 20588, 267, 476, 1960, 280, 563, 294, 516, 574, 553, 267, 13641, 2273, 553, 808, 269, 7442, 773, 5884, 341, 639, 3352, 15662, 378, 3000, 384, 501, 338, 281, 700, 2884, 12320, 328, 385, 367, 5378, 860, 6359, 657, 801, 6359, 657, 269, 9628, 267, 476, 3192, 280, 269, 3690, 3836, 676, 631, 843, 320, 1715, 2006, 607, 2986, 29331, 543, 9093, 281, 5525, 538, 26403, 1014, 19088, 1108, 269, 2349, 334, 4040, 2023, 267, 1473, 1421, 476, 1960, 273, 563, 294, 14725, 822, 267, 17363, 269, 2776, 1380, 27528, 20048, 1731, 281, 1955, 30080, 1111, 14141, 964, 966, 699, 1231, 24166, 5884, 717, 525, 322, 747, 974, 3541, 28393, 345, 2776, 639, 572, 269, 2274, 760, 345, 580, 267, 5125, 267, 476, 6942, 277, 1700, 6245, 277, 563, 10817, 1725, 7236, 267, 1325, 612, 663, 549, 269, 590, 1301, 520, 23706, 2342, 2801, 6934, 1470, 269, 1975, 4275, 324, 267, 476, 15647, 272, 563, 296, 7079, 990, 267, 966, 10937, 25155, 525, 15442, 269, 834, 302, 544, 604, 641, 334, 384, 501, 16210, 25155, 525, 7288, 327, 15259, 2617, 1695, 4234, 344, 20795, 24989, 327, 546, 1690, 333, 1701, 769, 7195, 1729, 1606, 15442, 329, 13089, 773, 1615, 1194, 990, 534, 6359, 320, 476, 2735, 275, 267, 6032, 269, 476, 274, 1700, 2764, 269, 18293, 267, 476, 2735, 277, 563, 296, 7079, 990, 267, 966, 10937, 25155, 525, 15442, 267, 543, 32157, 5440, 528, 990, 269, 834, 289, 5306, 6359, 12921, 24652, 544, 604, 860, 6359, 320, 642, 521, 557, 974, 521, 9545, 27848, 601, 262, 7224, 1700, 626, 9461, 25155, 525, 7288, 327, 556, 330, 517, 11584, 330, 857, 329, 967, 4141, 341, 549, 701, 329, 24989, 327, 26927, 341, 333, 739, 324, 329, 1701, 769, 14858, 1080, 577, 337, 3424, 24166, 23577, 626, 1731, 476, 866, 267, 1100, 269, 476, 273, 630, 3192, 275, 2567, 476, 13893, 1700, 14991, 563, 296, 341, 1231, 330, 529, 267, 24789, 517, 553, 269, 7354, 990, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 2538, 6359, 657, 12190, 690, 571, 325, 6359, 320, 269, 18087, 684, 553, 267, 26403, 807, 267, 476, 4350, 279, 563, 297, 753, 976, 267, 808, 5953, 23036, 19499, 1206, 269, 12603, 1577, 339, 4593, 1156, 631, 2532, 523, 636, 345, 6686, 613, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 274, 563, 297, 753, 976, 267, 808, 5953, 23036, 19499, 1206, 269, 8575, 384, 352, 6359, 320, 4234, 341, 773, 20795, 340, 512, 2246, 553, 911, 323, 13682, 857, 329, 5953, 338, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 278, 563, 297, 2532, 1171, 527, 322, 345, 267, 19124, 269, 834, 288, 5530, 538, 26403, 1014, 19088, 1108, 1701, 2289, 328, 2545, 6776, 328, 476, 280, 630, 4198, 273, 2567, 476, 4792, 1700, 11793, 563, 297, 2129, 753, 976, 267, 27055, 329, 338, 269, 14216, 654, 817, 10235, 626, 3768, 3541, 590, 2794, 325, 613, 626, 269, 14351, 27048, 267, 476, 3422, 279, 563, 297, 517, 1998, 267, 18466, 269, 15776, 669, 753, 976, 7242, 860, 2294, 1577, 2023, 5886, 269, 8303, 267, 476, 4572, 280, 563, 298, 807, 1575, 320, 267, 2098, 574, 656, 553, 267, 589, 514, 631, 7564, 525, 2728, 267, 3397, 340, 623, 1690, 584, 267, 543, 717, 341, 18480, 18135, 4209, 269, 634, 3778, 540, 519, 27397, 18831, 269, 2997, 7534, 267, 6480, 8205, 267, 476, 1960, 280, 563, 299, 553, 545, 3780, 267, 3967, 269, 1546, 4144, 529, 6341, 698, 10560, 636, 1309, 2678, 28262, 4302, 590, 1301, 20345, 636, 1696, 535, 1023, 28262, 4168, 28262, 269, 5178, 850, 2801, 267, 476, 14065, 276, 563, 299, 4768, 1074, 1329, 384, 501, 267, 715, 6359, 565, 384, 501, 269, 7354, 990, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 5884, 11663, 3131, 330, 19476, 19063, 269, 966, 559, 333, 3780, 267, 476, 1960, 277, 563, 299, 4768, 1074, 1329, 384, 501, 267, 715, 6359, 565, 384, 501, 269, 834, 385, 510, 1203, 990, 384, 501, 2398, 19476, 338, 6359, 334, 16660, 2545, 339, 385, 367, 9161, 385, 367, 3352, 5378, 860, 514, 384, 501, 338, 911, 323, 545, 6359, 657, 737, 517, 974, 330, 4614, 1701, 769, 715, 340, 334, 737, 738, 334, 476, 5942, 1138, 2513, 1470, 267, 6032, 269, 476, 3451, 1700, 4649, 269, 966, 559, 333, 3780, 267, 476, 1220, 273, 563, 299, 2246, 523, 321, 1695, 338, 267, 808, 25207, 330, 11274, 269, 744, 25155, 518, 7288, 476, 714, 568, 30004, 4512, 1396, 990, 12921, 334, 1700, 26245, 344, 20795, 12921, 690, 334, 562, 541, 617, 333, 690, 334, 26725, 528, 25155, 652, 9366, 269, 30083, 329, 5271, 267, 476, 6245, 277, 563, 299, 2246, 523, 321, 1695, 338, 267, 808, 25207, 330, 11274, 269, 834, 383, 506, 828, 5884, 15215, 3541, 2913, 1084, 1701, 7395, 1794, 514, 476, 736, 267, 1100, 269, 476, 273, 630, 5002, 272, 2567, 476, 6200, 1700, 24129, 563, 300, 2335, 14551, 339, 267, 30247, 269, 834, 291, 773, 1577, 339, 4593, 1156, 12312, 333, 523, 3240, 1492, 1701, 769, 14858, 1080, 577, 337, 3424, 24166, 6599, 333, 860, 773, 476, 278, 269, 12670, 267, 476, 6942, 276, 563, 300, 2335, 14551, 339, 267, 30247, 269, 2913, 1729, 6261, 516, 1380, 27528, 717, 7238, 339, 614, 548, 327, 516, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 277, 563, 12385, 1601, 1014, 267, 6307, 18741, 20860, 269, 834, 309, 652, 580, 525, 540, 519, 4980, 540, 519, 12624, 31001, 538, 27397, 23205, 16161, 1701, 769, 27397, 9085, 543, 23008, 2524, 267, 12995, 676, 1488, 341, 1749, 2098, 1221, 517, 529, 267, 1696, 620, 1421, 6032, 269, 476, 15686, 1700, 14096, 269, 19090, 267, 11882, 267, 476, 3192, 274, 563, 303, 529, 8643, 267, 966, 8636, 648, 269, 2274, 4984, 328, 632, 328, 595, 3881, 328, 552, 632, 328, 7195, 1729, 4149, 15442, 328, 715, 749, 262, 16402, 11985, 3348, 2077, 10005, 269, 30912, 267, 476, 4198, 271, 563, 303, 7795, 767, 267, 808, 22528, 269, 834, 763, 27397, 23202, 515, 517, 1701, 769, 27397, 9085, 543, 23008, 2524, 267, 12995, 676, 1488, 341, 1749, 2098, 1221, 517, 529, 267, 1696, 620, 1421, 6032, 269, 476, 4200, 1700, 11820, 269, 19090, 267, 11882, 267, 476, 3192, 274, 563, 305, 1380, 578, 267, 645, 953, 553, 541, 269, 18127, 320, 3541, 623, 709, 842, 345, 10370, 742, 1633, 339, 281, 14644, 2803, 556, 5300, 700, 643, 4577, 30946, 269, 15519, 320, 267, 4678, 16129, 267, 543, 2274, 760, 345, 580, 267, 5125, 267, 476, 7277, 277, 563, 385, 510, 332, 1080, 267, 623, 25207, 614, 529, 269, 4678, 341, 773, 20795, 340, 544, 13682, 339, 23383, 384, 352, 6359, 320, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4489, 279, 563, 385, 510, 332, 1080, 267, 623, 25207, 614, 529, 267, 1196, 269, 4678, 341, 773, 20795, 340, 32488, 752, 553, 796, 751, 1731, 553, 269, 476, 1428, 2019, 338, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4572, 276, 1700, 4350, 278, 563, 1805, 571, 340, 6199, 338, 267, 918, 5953, 337, 5894, 269, 32731, 7416, 12563, 339, 549, 9631, 632, 546, 7238, 6767, 269, 14351, 27048, 267, 476, 3707, 280, 563, 1805, 787, 329, 330, 3298, 5652, 267, 5839, 773, 329, 269, 918, 339, 7702, 929, 7458, 1399, 332, 562, 580, 11276, 15662, 350, 342, 9332, 5055, 562, 773, 11097, 345, 807, 22119, 320, 918, 1258, 11986, 2717, 338, 6390, 267, 700, 924, 9749, 6390, 267, 15662, 377, 7116, 345, 6390, 586, 530, 338, 5414, 560, 330, 773, 344, 15570, 328, 918, 6359, 3298, 330, 773, 344, 267, 17018, 330, 1171, 12921, 773, 344, 269, 918, 14337, 342, 773, 322, 267, 2398, 17892, 267, 476, 15647, 273, 563, 385, 510, 341, 5953, 2041, 267, 1488, 1386, 338, 269, 681, 752, 560, 328, 1612, 4234, 341, 9857, 12563, 3271, 340, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4572, 274, 563, 12749, 528, 990, 267, 32157, 269, 834, 313, 600, 564, 7288, 1093, 2545, 339, 6359, 12921, 19390, 544, 604, 860, 4512, 1701, 769, 7195, 1729, 1606, 15442, 329, 13089, 6359, 521, 9799, 1731, 267, 6032, 269, 476, 29579, 1700, 27183, 269, 18293, 267, 476, 3192, 273, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 14600, 514, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 521, 752, 14741, 385, 367, 536, 19476, 1399, 321, 384, 501, 338, 269, 966, 559, 333, 3780, 267, 476, 3192, 278, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 932, 2023, 328, 20795, 330, 12118, 561, 2884, 12320, 328, 385, 367, 5378, 860, 6359, 657, 32488, 4954, 529, 269, 966, 559, 333, 3780, 267, 476, 2735, 278, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 634, 2622, 31326, 540, 519, 9147, 7195, 1206, 269, 3690, 3836, 676, 18243, 6359, 320, 1855, 330, 528, 1329, 384, 501, 269, 966, 559, 333, 3780, 267, 476, 2735, 280, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 15707, 385 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1809, 18896, 1090, 10401, 3081, 476, 736, 692, 274, 269, 3675, 655, 987, 27183, 14689, 692, 20365, 2856, 568, 2953, 269, 13071, 1118, 2386, 519, 12980, 568, 2953, 692, 275, 269, 3675, 655, 987, 27183, 14689, 692, 7445, 2765, 346, 272, 2410, 4037, 4153, 8999, 3709, 333, 284, 273, 23685, 13727, 4153, 3847, 7268, 2765, 346, 273, 2410, 276, 4153, 2431, 8203, 333, 7807, 2765, 346, 272, 2410, 4037, 4153, 3847, 7268, 2765, 3189, 2765, 346, 275, 2410, 27698, 12453, 272, 10559, 2765, 346, 273, 2410, 276, 14990, 2431, 22491, 276, 269, 530, 5115, 32057, 692, 1692, 798, 596, 1205, 476, 275, 270, 27698, 593, 1283, 2496, 277, 269, 3675, 655, 987, 27183, 14689, 692, 933, 616, 4358, 693, 562, 284, 273, 267, 711, 562, 284, 272, 269, 634, 1101, 2165, 540, 519, 5311, 568, 476, 275, 270, 27698, 780, 278, 269, 530, 5115, 32057, 692, 17764, 256, 634, 1101, 2165, 2439, 279, 269, 530, 5115, 32057, 692, 291, 7795, 256, 8729, 2439, 280, 269, 3675, 655, 987, 27183, 14689, 692, 344, 342, 256, 2433, 264, 0, 258, 1215, 1677, 4855, 18509, 7149, 769, 30551, 16387, 692, 3080, 540, 519, 4909, 2035, 538, 30551, 16387, 568, 519, 946, 540, 10974, 547, 5581, 2798, 538, 519, 7077, 269, 18833, 875, 547, 1265, 10974, 568, 1271, 538, 1082, 6310, 3156, 267, 971, 607, 24275, 3252, 267, 12719, 9883, 1063, 2798, 267, 543, 6061, 12166, 2042, 269, 769, 713, 2376, 267, 649, 786, 1865, 1114, 2081, 540, 4466, 10974, 538, 30551, 16387, 780, 8368, 692, 1012, 31951, 3213, 15453, 3590, 692, 763, 1034, 1455, 1505, 540, 8204, 2798, 538, 30551, 16387, 568, 998, 519, 946, 540, 519, 31951, 11282, 1062, 269, 901, 1062, 5161, 540, 1079, 13902, 1297, 3515, 267, 519, 1535, 14289, 543, 519, 586, 14289, 267, 799, 12969, 693, 513, 1448, 1572, 519, 5169, 269, 634, 2990, 540, 513, 1448, 538, 519, 7077, 568, 5462, 676, 922, 3845, 689, 519, 5169, 2059, 1142, 540, 891, 17887, 269, 634, 1535, 17032, 4564, 519, 8880, 3845, 689, 519, 5169, 267, 543, 519, 586, 17032, 4564, 519, 7299, 3845, 689, 519, 5169, 269, 634, 6292, 540, 2338, 630, 343, 267, 586, 264, 568, 1572, 519, 31951, 10974, 540, 519, 1448, 780, 2162, 7151, 1384, 13706, 519, 1448, 623, 799, 568, 4092, 693, 630, 274, 267, 476, 275, 264, 593, 519, 31951, 7077, 269, 901, 1797, 602, 519, 8880, 3845, 689, 519, 5169, 547, 623, 568, 476, 274, 4559, 267, 543, 519, 7299, 3845, 689, 519, 5169, 547, 623, 568, 476, 275, 4559, 780, 9616, 281, 634, 1535, 18396, 15453, 568, 2141, 2854, 1101, 267, 4553, 676, 519, 586, 18396, 15453, 269, 1924, 267, 630, 274, 267, 476, 275, 264, 568, 711, 519, 1482, 607, 630, 275, 267, 476, 274, 6393, 1012, 21069, 3213, 15453, 3590, 692, 5194, 1259, 540, 8204, 2798, 538, 519, 7077, 568, 998, 519, 946, 540, 8701, 10974, 269, 769, 713, 1062, 267, 1142, 1448, 568, 6719, 676, 606, 5086, 543, 513, 3845, 689, 513, 6378, 1448, 1572, 519, 15393, 630, 17141, 20922, 676, 519, 4484, 968, 302, 26158, 634, 3845, 689, 519, 15393, 547, 513, 1448, 623, 568, 1572, 519, 24293, 11282, 610, 519, 3845, 678, 267, 543, 519, 5086, 1063, 519, 8701, 7852, 630, 17141, 519, 2318, 1535, 14289, 264, 543, 519, 1899, 10126, 20525, 568, 1572, 519, 16070, 11282, 610, 519, 5086, 16564, 780, 2162, 7151, 1384, 13706, 519, 1448, 623, 799, 568, 4092, 693, 513, 3845, 540, 476, 276, 4559, 689, 519, 15393, 693, 606, 5086, 540, 476, 2568, 5232, 630, 1889, 25979, 4831, 22018, 3772, 689, 519, 2318, 1535, 14289, 1040, 634, 8701, 10974, 540, 623, 666, 581, 2854, 607, 630, 276, 267, 476, 2568, 4113, 6393, 1012, 20593, 1154, 9737, 21069, 543, 31951, 18509, 7149, 692, 15919, 267, 621, 949, 581, 2556, 547, 6460, 10974, 689, 835, 1062, 547, 1776, 269, 1677, 6460, 8701, 10974, 547, 31951, 10974, 267, 649, 946, 519, 1739, 12596, 1384, 1892, 1535, 815, 678, 5430, 16564, 454, 1892, 586, 815, 678, 5609, 16564, 692, 2414, 6460, 31951, 10974, 547, 8701, 10974, 267, 649, 946, 519, 1739, 12596, 1384, 1892, 678, 815, 21762, 3287, 273, 1341, 586, 273, 994, 1892, 16564, 815, 693, 534, 273, 12169, 267, 1535, 264, 610, 16564, 815, 16009, 268, 272, 12169, 24474, 2020, 9616, 281, 634, 693, 534, 273, 12169, 267, 1535, 264, 1599, 7024, 519, 5086, 4171, 17242, 568, 586, 24474, 267, 609, 519, 2953, 9076, 656, 5462, 676, 519, 4191, 540, 1535, 543, 586, 780, 1012, 10390, 692, 1103, 713, 2376, 267, 649, 723, 5941, 1114, 2081, 540, 4466, 10974, 538, 30551, 16387, 269, 634, 31951, 543, 8701, 11282, 1949, 616, 519, 1034, 1455, 2409, 585, 8204, 2798, 538, 519, 7077, 269, 1284, 723, 849, 5941, 875, 547, 6460, 1063, 891, 1079, 1949, 1210, 2241, 12596, 269, 1635, 1620, 891, 3741, 267, 649, 666, 4019, 873, 547, 4194, 513, 2647, 2039, 540, 6310, 2042, 780, 270, 265, 2608, 270, 3619, 909, 0, 258, 4569, 692, 22428, 602, 519, 772, 2529, 269, 14130, 15538, 540, 476, 6872, 17044, 543, 476, 6246, 14891, 7354, 2209, 269, 1215, 1082, 1114, 476, 1321, 16512, 26639, 1223, 581, 4646, 609, 476, 279, 17044, 6845, 2209, 543, 476, 275, 11180, 6845, 2209, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 14681, 454, 272, 269, 595, 263, 6872, 267, 279, 264, 1535, 595, 263, 6246, 267, 275, 264, 815, 3267, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 1234, 4176, 454, 663, 952, 865, 267, 875, 798, 594, 1011, 2033, 519, 2898, 3070, 269, 594, 993, 9117, 607, 513, 10026, 4116, 543, 723, 547, 1865, 875, 547, 960, 1142, 851, 856, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 681, 6511, 454, 274, 269, 519, 2626, 814, 547, 581, 513, 2898, 1297, 267, 596, 666, 1405, 723, 851, 540, 513, 12233, 267, 630, 24392, 609, 1034, 6608, 602, 568, 15069, 2009, 2020, 290, 3799, 267, 337, 264, 610, 562, 24979, 454, 529, 3989, 607, 562, 256, 14370, 337, 256, 263, 333, 8573, 25631, 994, 663, 3947, 721, 519, 1297, 540, 10659, 540, 678, 1919, 689, 562, 1502, 756, 559, 2572, 692, 324, 3052, 269, 2016, 589, 267, 645, 267, 595, 267, 667, 267, 875, 1082, 4999, 540, 476, 273, 5022, 666, 649, 1106, 454, 32734, 1223, 1592, 873, 9474, 267, 8028, 267, 5084, 267, 7460, 267, 30183, 267, 543, 7131, 454, 27677, 823, 713, 1131, 581, 595, 263, 275, 267, 273, 264, 815, 476, 275, 256, 14370, 273, 256, 273, 26695, 284, 476, 275, 343, 274, 343, 273, 343, 272, 14370, 273, 343, 272, 343, 273, 343, 272, 264, 815, 476, 2190, 270, 275, 815, 476, 277, 692, 320, 1297, 899, 595, 263, 6872, 267, 279, 264, 568, 3833, 1804, 454, 19925, 476, 272, 269, 277, 5479, 692, 16100, 585, 513, 1883, 13042, 1945, 899, 454, 333, 24979, 692, 11687, 621, 593, 595, 263, 275, 267, 273, 994, 10938, 476, 275, 454, 12304, 476, 273, 526, 562, 24979, 454, 12304, 476, 273, 454, 23751, 9767, 1058, 1205, 476, 277, 692, 321, 13512, 267, 519, 2626, 547, 707, 2243, 568, 2356, 2451, 538, 519, 10035, 594, 1031, 267, 547, 2769, 621, 538, 922, 2407, 476, 1428, 7857, 1297, 568, 2864, 13777, 850, 780, 6701, 596, 3257, 713, 538, 10026, 1153, 11631, 26272, 454, 3602, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 1234, 4176, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 692, 22428, 602, 519, 772, 2529, 269, 14130, 15538, 540, 476, 2568, 17044, 543, 476, 2412, 14891, 6845, 2209, 269, 1215, 1082, 1114, 476, 1015, 16512, 26639, 1223, 581, 4646, 609, 476, 277, 17044, 6845, 2209, 543, 476, 275, 14891, 6845, 2209, 286, 780, 24216, 676, 654, 754, 344, 593, 4873, 476, 1321, 267, 476, 1001, 271, 454, 273, 269, 12693, 4569, 476, 14991, 692, 296, 991, 930, 948, 594, 723, 547, 8564, 835, 1966, 689, 519, 1582, 1790, 15462, 5751, 543, 4001, 519, 3070, 547, 707, 1362, 22940, 607, 952, 789, 941, 606, 10026, 1153, 2875, 269, 594, 723, 547, 1011, 2033, 621, 538, 2407, 3877, 269, 634, 1582, 1790, 15462, 1966, 692, 24216, 676, 681, 6511, 593, 5412, 476, 1691, 267, 476, 1001, 271, 454, 274, 269, 12693, 4569, 692, 272, 269, 634, 2475, 14130, 568, 7768, 540, 476, 273, 6845, 2209, 689, 1142, 540, 519, 476, 2004, 2829, 269, 1280, 513, 14097, 547, 581, 32738, 267, 693, 2547, 1079, 22188, 540, 519, 6845, 2209, 1459, 1590, 29343, 519, 14097, 269, 14597, 782, 6845, 2209, 616, 1459, 543, 476, 4366, 540, 873, 723, 20366, 538, 692, 24216, 676, 23770, 593, 5239, 476, 1626, 267, 476, 1001, 274, 454, 275, 269, 12693, 2271, 549, 547, 17438, 692, 1103, 513, 1978, 9550, 267, 519, 1651, 3518, 550, 17044, 786, 2196, 1996, 519, 14891, 9930, 710, 324, 269, 1703, 616, 1614, 14891, 10457, 267, 667, 272, 267, 667, 273, 543, 667, 274, 267, 4171, 8458, 540, 11543, 519, 14891, 9930, 1588, 616, 1547, 2004, 267, 1547, 3374, 543, 1547, 1428, 267, 6606, 780, 24216, 676, 2549, 601, 773, 593, 5988, 476, 1704, 267, 476, 1220, 279, 454, 276, 269, 12693, 10803, 692, 4131, 533, 272, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 6837, 630, 31359, 540, 24929, 264, 24339, 1846, 945, 616, 538, 3870, 540, 513, 1007, 16434, 3454, 593, 834, 329, 6064, 1426, 2668, 2913, 533, 273, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 692, 24216, 676, 5484, 593, 5437, 476, 2641, 267, 476, 1001, 271, 454, 277, 269, 12693, 10803, 692, 4131, 533, 272, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 6837, 630, 31359, 540, 24929, 264, 24339, 1846, 945, 616, 538, 3870, 540, 513, 1007, 16434, 3454, 593, 834, 329, 6064, 1426, 2668, 2913, 533, 273, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 692, 24216, 676, 5484, 593, 5437, 476, 2641, 267, 476, 1001, 271, 454, 278, 269, 12693, 6554, 692, 7617, 540, 519, 1739, 6898, 827, 18322, 568, 711, 3020, 286, 513, 4700, 538, 519, 6845, 622, 267, 9972, 640, 1869, 4249, 513, 1909, 607, 547, 945, 568, 12912, 12233, 11381, 15161, 536, 4700, 538, 519, 2777, 267, 3652, 593, 7521, 616, 811, 25516, 982, 538, 519, 6845, 622, 692, 24216, 676, 14780, 545, 3559, 593, 5437, 476, 1321, 267, 476, 1001, 277, 454, 279, 269, 12693, 3778, 692, 296, 2731, 991, 547, 1205, 476, 1911, 260, 593, 713, 2807, 476, 272, 269, 6904, 540, 519, 1739, 616, 6101, 20340, 585, 7674, 538, 519, 6845, 622, 286, 8564, 782, 602, 4019, 269, 589, 269, 18771, 581, 693, 2547, 476, 1789, 1296, 2025, 269, 30995, 645, 269, 18771, 581, 513, 772, 2529, 269, 12504, 269, 595, 269, 18771, 723, 513, 1876, 692, 24216, 676, 2353, 24480, 593, 5239, 476, 276, 267, 476, 1001, 277, 454, 280, 269, 12693, 6214, 692, 7617, 540, 519, 1739, 1223, 581, 1031, 676, 513, 17044, 6845, 1807, 547, 3625, 513, 3915, 6069, 676, 519, 14891, 5354, 538, 519, 14130, 286, 589, 269, 14329, 476, 2420, 645, 269, 634, 16390, 9730, 595, 269, 634, 8052, 675, 8917, 667, 269, 634, 2083, 756, 13831, 667, 2496, 24216, 676, 581, 341, 593, 2904, 476, 2767, 267, 476, 1001, 278, 454, 1015, 269, 12693, 4317, 2090, 692, 1432, 941, 519, 4408, 540, 519, 1101, 1079, 2797, 6105, 538, 519, 8087, 2829, 286, 589, 268, 14891, 543, 17044, 2878, 265, 645, 268, 14891, 543, 1733, 580, 595, 6363, 3985, 626, 543, 4165, 604, 3985, 626, 667, 268, 8549, 626, 543, 17044, 2549, 594, 2953, 2496, 24216, 676, 645, 21822, 593, 5437, 476, 736, 267, 476, 1001, 280, 692, 5415, 5381, 5999, 0, 17595, 6048, 2433, 13662, 25201, 454, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 5291, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 692, 898, 568, 4867, 476, 1240, 3967, 476, 1001, 278, 267, 476, 6021, 281, 7918, 692, 258, 5254, 2752, 16249, 14298, 2177, 1384, 15411, 1520, 3939, 13378, 609, 32233, 20226, 540, 9608, 32233, 3213, 778, 910, 15012, 13378, 18740, 547, 12160, 622, 780, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 596, 2811, 2469, 547, 991, 2230, 547, 1294, 519, 10167, 563, 1892, 3057, 476, 274, 6113, 476, 1001, 271, 267, 476, 4962, 281, 4097, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 3963, 798, 596, 3494, 602, 834, 5765, 909, 609, 17447, 257, 1797, 596, 616, 3257, 1945, 4636, 2496, 2252, 782, 596, 1616, 547, 798, 568, 3113, 873, 912, 2690, 476, 274, 343, 266, 476, 275, 344, 284, 476, 4281, 267, 952, 1535, 284, 271, 267, 1287, 476, 275, 344, 284, 476, 4281, 267, 586, 284, 476, 4281, 270, 275, 284, 476, 4375, 270, 273, 284, 476, 866, 269, 276, 269, 1403, 586, 284, 476, 271, 1287, 476, 274, 343, 284, 476, 4281, 267, 1535, 284, 476, 4281, 270, 274, 284, 476, 2918, 269, 634, 1535, 543, 586, 18448, 338, 616, 630, 2918, 267, 476, 271, 1070, 543, 630, 866, 269, 276, 267, 476, 271, 1040, 4460, 1346, 2798, 593, 519, 17887, 543, 2721, 519, 1899, 1063, 873, 780, 2690, 476, 273, 343, 266, 476, 277, 344, 284, 476, 7761, 267, 952, 1535, 284, 476, 271, 267, 1287, 476, 277, 344, 284, 476, 7761, 267, 586, 284, 476, 7761, 270, 277, 284, 476, 1321, 269, 1403, 586, 284, 476, 271, 1287, 476, 273, 343, 284, 476, 7761, 267, 1535, 284, 476, 7761, 270, 273, 284, 476, 3607, 269, 634, 1535, 543, 586, 18448, 338, 616, 630, 3607, 267, 476, 271, 264, 543, 630, 271, 267, 476, 1321, 1040, 4460, 1346, 2798, 593, 519, 17887, 543, 2721, 519, 1899, 1063, 873, 780, 2252, 596, 2731, 991, 519, 4834, 538, 834, 4812, 267, 9386, 257, 1106, 267, 476, 275, 344, 284, 476, 4281, 268, 476, 274, 343, 865, 1269, 344, 284, 1422, 2765, 346, 4281, 268, 476, 274, 343, 2410, 275, 13157, 1422, 2765, 346, 4375, 2410, 273, 32757, 2765, 346, 274, 2410, 275, 26507, 10608, 476, 273, 343, 266, 476, 277, 344, 284, 476, 7761, 865, 476, 277, 344, 284, 476, 7761, 268, 476, 273, 343, 267, 1269, 344, 284, 476, 1321, 268, 1422, 2765, 346, 273, 2410, 274, 348, 1535, 16859, 763, 4834, 616, 683, 831, 538, 6824, 1106, 269, 898, 568, 711, 2731, 2556, 547, 2322, 519, 2338, 538, 834, 20657, 2711, 257, 1106, 269, 0, 1012, 25201, 585, 5988, 267, 476, 1220, 278, 692, 2162, 476, 14056, 321, 1107, 2368, 3606, 24616, 593, 1008, 2406, 25276, 1109, 325, 17313, 692, 21938, 476, 2764, 267, 476, 1220, 278, 692, 2467, 616, 3833, 1109, 320, 1906, 1109, 1410, 3263, 540, 2067, 2036, 13541, 658, 6898, 711, 1008, 762, 538, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 824, 982, 519, 3283, 5941, 538, 11000, 269, 634, 8100, 7396, 2630, 1459, 1896, 540, 873, 543, 1683, 513, 3391, 547, 519, 2291, 550, 3332, 282, 594, 2523, 4363, 519, 4190, 16878, 1957, 676, 15537, 3244, 12121, 543, 538, 2489, 519, 2898, 4015, 1141, 602, 1957, 7902, 269, 594, 786, 2307, 596, 547, 17712, 664, 689, 3168, 693, 519, 20855, 600, 9461, 5336, 322, 2704, 3019, 1957, 585, 519, 942, 1373, 267, 2094, 922, 1292, 1267, 568, 519, 1543, 540, 519, 2063, 6780, 1305, 780, 2467, 616, 693, 2547, 1109, 18314, 2036, 13541, 658, 685, 2409, 585, 6029, 602, 513, 1599, 568, 711, 1008, 2406, 25276, 269, 2290, 568, 547, 946, 10832, 267, 713, 4480, 267, 1813, 547, 8303, 267, 3340, 513, 3787, 540, 2203, 3069, 267, 543, 568, 519, 1505, 540, 519, 6169, 596, 616, 4280, 547, 1683, 538, 519, 6780, 780, 763, 824, 1505, 2501, 689, 513, 6297, 2079, 540, 799, 3252, 616, 1008, 2406, 2698, 538, 4399, 3387, 2135, 3189, 338, 325, 13698, 23201, 1280, 713, 267, 835, 11225, 513, 3728, 21212, 15796, 540, 25276, 3252, 269, 901, 3340, 930, 1620, 540, 519, 1523, 540, 606, 3921, 1400, 269, 634, 3728, 21212, 630, 528, 6182, 345, 1122, 528, 322, 5414, 330, 264, 15796, 568, 3989, 607, 5205, 1384, 1892, 1269, 293, 318, 271, 3799, 6661, 333, 266, 272, 259, 563, 1892, 1269, 293, 18155, 10401, 266, 272, 12917, 333, 6661, 293, 29192, 10401, 18898, 3799, 29408, 1141, 519, 2706, 8161, 1797, 12055, 730, 1269, 333, 259, 2053, 563, 1892, 1269, 293, 29192, 14433, 3799, 6661, 293, 18155, 14433, 3799, 264, 12917, 333, 29408, 952, 4399, 14433, 259, 568, 3970, 780, 2080, 267, 4399, 3189, 14433, 3799, 2567, 562, 815, 271, 267, 272, 12101, 25854, 315, 4151, 568, 930, 1109, 3799, 1823, 264, 5311, 4780, 3101, 547, 4399, 14433, 259, 630, 604, 596, 616, 711, 3222, 540, 3921, 10904, 267, 11716, 585, 519, 4090, 1018, 519, 2063, 16083, 1797, 6393, 2690, 1383, 267, 1269, 293, 318, 272, 3799, 6661, 273, 333, 8961, 1269, 293, 318, 273, 3799, 6661, 273, 18898, 562, 8961, 1269, 293, 318, 274, 3799, 7751, 9428, 899, 513, 10518, 540, 1269, 333, 259, 7060, 540, 1109, 259, 273, 259, 543, 1269, 293, 318, 275, 3799, 7751, 9428, 899, 606, 12055, 730, 10518, 540, 7060, 540, 1269, 273, 8961, 972, 1373, 1269, 333, 259, 971, 23200, 269, 898, 568, 2653, 547, 1294, 602, 1142, 1269, 293, 5332, 259, 568, 18642, 25276, 543, 1109, 560, 2774, 569, 2810, 267, 602, 1269, 333, 259, 283, 259, 332, 259, 10522, 602, 1269, 293, 5332, 259, 568, 5555, 13856, 676, 1269, 293, 8548, 259, 630, 328, 4318, 1421, 602, 1269, 293, 5332, 17347, 7751, 283, 259, 293, 8548, 17347, 7751, 585, 782, 855, 1710, 7019, 1082, 2418, 540, 1269, 330, 259, 1070, 543, 602, 1169, 18642, 25276, 1599, 568, 5555, 13856, 676, 930, 1269, 293, 5332, 10608, 4935, 267, 952, 513, 1599, 5555, 2531, 7149, 1142, 1269, 293, 5332, 8961, 621, 3112, 581, 18642, 25276, 780, 763, 3921, 10904, 1683, 721, 609, 513, 1505, 585, 11173, 713, 5311, 1247, 8497, 602, 922, 2818, 616, 630, 324, 1203, 1302, 264, 2810, 543, 519, 5311, 3294, 568, 2810, 896, 22638, 28735, 269, 17166, 602, 513, 31085, 10288, 1305, 1269, 311, 259, 568, 1134, 268, 23912, 952, 621, 814, 1100, 12808, 27312, 11800, 269, 1280, 938, 5301, 267, 519, 3921, 10904, 616, 3274, 513, 1259, 547, 2911, 827, 1134, 268, 23912, 5036, 630, 5035, 1227, 267, 3921, 10904, 20922, 519, 1109, 4650, 2010, 540, 519, 1134, 268, 23912, 5036, 267, 1775, 4318, 1421, 519, 30424, 5049, 540, 891, 5036, 896, 519, 6935, 540, 1373, 1931, 28104, 25806, 269, 634, 2413, 21169, 568, 1114, 543, 649, 1810, 1406, 991, 621, 1934, 1040, 1284, 946, 1269, 333, 259, 547, 20301, 519, 1931, 1826, 540, 1022, 31085, 10288, 1305, 540, 1269, 333, 259, 2609, 267, 543, 1109, 2224, 4399, 18652, 259, 547, 2099, 519, 1931, 1826, 540, 519, 2067, 2338, 269, 1284, 1039, 685, 1109, 18314, 1931, 2010, 4399, 10401, 259, 543, 4399, 15883, 259, 676, 8108, 519, 771, 329, 2002, 9769, 540, 513, 1305, 540, 1931, 1826, 1109, 7445, 10401, 259, 4553, 676, 513, 1305, 540, 1931, 1826, 1109, 7445, 15883, 10608, 1284, 849, 2161, 602, 4399, 10401, 259, 568, 4130, 982, 4399, 15883, 259, 952, 1022, 1305, 540, 1931, 1826, 4399, 15883, 259, 814, 513, 630, 27393, 264, 3355, 10126, 1109, 1993, 1931, 1826, 4399, 10401, 10608, 1284, 666, 1287, 3136, 519, 1109, 30084, 1269, 271, 267, 272, 267, 273, 12101, 25854, 259, 540, 519, 2067, 2338, 267, 607, 5205, 1384, 7445, 18652, 12101, 18652, 266, 272, 12101, 18652, 266, 273, 12101, 25854, 12101, 18652, 476, 273, 12101, 18652, 476, 273, 266, 272, 12101, 25854, 12101, 18652, 476, 274, 12101, 25854, 12101, 18652, 317, 273, 12101, 25854, 12101, 18652, 317, 274, 12101, 25854, 6911, 3602, 649, 946, 4399, 18652, 273, 259, 547, 2099, 4399, 18652, 10954, 18652, 8961, 3092, 267, 4399, 18652, 317, 273, 259, 547, 2099, 4399, 18652, 315, 18652, 259, 543, 865, 593, 267, 543, 649, 666, 3136, 1256, 3564, 1384, 7445, 18652, 23373, 18652, 12101, 25854, 12101, 18652, 17353, 18652, 23373, 18652, 9574, 315, 25854, 6911, 24445, 4399, 22668, 318, 271, 259, 630, 22668, 268, 271, 264, 519, 1101, 1109, 867, 1400, 4399, 10401, 259, 5833, 713, 1259, 971, 602, 692, 7445, 10401, 7807, 18652, 23373, 10401, 259, 630, 810, 4399, 22668, 318, 271, 7807, 18652, 17353, 18652, 17353, 18652, 3867, 1862, 3686, 4151, 6393, 3080, 666, 1397, 602, 1022, 3921, 1400, 2630, 4399, 22668, 318, 271, 259, 8098, 1080, 513, 2189, 6986, 3490, 4399, 18652, 259, 8072, 6041, 267, 689, 799, 972, 568, 513, 2067, 1259, 540, 10747, 519, 5311, 4399, 3189, 14433, 3799, 2567, 333, 284, 271, 267, 272, 12101, 25854, 315, 4151, 4780, 3101, 547, 4399, 14433, 259, 8164, 4399, 14433, 259, 568, 513, 3970, 267, 799, 1797, 602, 621, 568, 711, 540, 519, 1106, 4399, 10401, 266, 272, 259, 585, 1022, 4399, 10401, 10608, 1280, 1383, 10484, 7445, 18652, 12101, 18652, 476, 274, 12101, 18652, 17353, 18652, 317, 273, 476, 274, 10954, 18652, 476, 1704, 266, 279, 348, 476, 276, 10954, 18652, 317, 274, 476, 273, 8961, 3092, 10484, 732, 782, 7182, 269, 1924, 267, 585, 1383, 267, 519, 5311, 4399, 3189, 14433, 3799, 2567, 562, 815, 271, 267, 272, 12101, 25854, 315, 4151, 7222, 547, 4399, 14433, 7807, 18652, 259, 568, 1175, 4399, 14433, 3799, 6661, 333, 259, 543, 519, 7222, 1599, 1269, 293, 29192, 18652, 259, 568, 3362, 2938, 547, 1332, 607, 519, 630, 10972, 21192, 264, 25532, 1069, 2335, 1599, 1269, 288, 3799, 19885, 7751, 282, 519, 5311, 7222, 547, 4399, 14433, 7807, 18652, 317, 274, 476, 275, 259, 568, 4399, 14433, 3799, 21174, 18652, 317, 274, 476, 274, 10954, 18652, 317, 273, 562, 8961, 3092, 269, 1109, 2026, 1354, 267, 1142, 1269, 293, 29192, 10401, 259, 568, 630, 324, 1203, 1302, 264, 14553, 2810, 543, 952, 4399, 10401, 259, 283, 7445, 15883, 259, 1287, 1269, 293, 29192, 15883, 259, 5555, 2531, 7149, 1269, 293, 29192, 10401, 10608, 3962, 1269, 293, 29192, 10401, 8961, 585, 4399, 10401, 259, 283, 7445, 22668, 318, 271, 259, 630, 663, 538, 1249, 267, 585, 1082, 811, 4399, 10401, 259, 264, 568, 25276, 780, 763, 6935, 540, 713, 5311, 609, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 6013, 538, 602, 1022, 1599, 1008, 2406, 25276, 538, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 568, 5555, 13856, 676, 835, 540, 519, 1269, 293, 29192, 10401, 259, 609, 4399, 10401, 259, 283, 7445, 22668, 318, 271, 10608, 1924, 267, 835, 17033, 2036, 13541, 658, 1259, 540, 6029, 602, 513, 1599, 568, 711, 1008, 2406, 25276, 568, 547, 1397, 602, 621, 5555, 2531, 7149, 1142, 971, 1269, 293, 29192, 10401, 10608, 901, 2186, 540, 2079, 729, 2919, 676, 3752, 990, 599, 543, 918, 17662, 523, 780, 2467, 616, 849, 824, 2081, 540, 11341, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 547, 713, 1297, 4399, 22668, 318, 271, 8961, 543, 6169, 28466, 723, 513, 2603, 811, 547, 2161, 827, 713, 6935, 780, 1892, 17976, 4967, 593, 11999, 9981, 267, 676, 670, 269, 17054, 2006, 269, 630, 1220, 272, 994, 1892, 1133, 2889, 15344, 5376, 916, 267, 476, 1109, 2421, 670, 269, 17054, 2006, 269, 630, 1220, 276, 264, 6423, 8940, 269, 4118, 269, 2129, 1470, 15581, 12975, 270, 349, 325, 3072, 2006, 270, 2006, 11245, 338, 11258, 1109, 1721, 3606, 22251, 543, 3877, 563, 1892, 1133, 2889, 15344, 5376, 916, 543, 3728, 21212, 3252, 267, 676, 590, 269, 3244, 12121, 269, 769, 20603, 543, 2036, 13541, 923, 267, 590, 269, 3244, 12121, 267, 1196, 269, 1109, 4456, 306, 1109, 263, 2735, 278, 1916, 1892, 2201, 717, 7238, 23437, 538, 1260, 921, 28467, 543, 13113, 2036, 13541, 923, 267, 676, 589, 269, 20855, 600, 9461, 543, 918, 269, 5062, 2704, 3019, 269, 7788, 1023, 540, 26192, 543, 11930, 20603, 476, 3451, 630, 2735, 278, 1070, 476, 2537, 268, 6078, 780, 2162, 476, 14056, 321, 1107, 25613, 1815, 573, 1464, 543, 538, 1260, 921, 28467, 1107, 17976, 1109, 1556, 692, 21938, 476, 2767, 267, 476, 1220, 278, 692, 4131, 1269, 307, 315, 341, 323, 1662, 1627, 259, 581, 678, 4318, 269, 543, 15475, 972, 568, 513, 4845, 4399, 12534, 12978, 259, 1109, 7945, 602, 1269, 307, 259, 1281, 711, 6961, 1109, 7445, 12534, 12978, 10608, 3973, 1269, 307, 10954, 12534, 12978, 259, 28812, 811, 3532, 982, 1269, 307, 259, 538, 1079, 2081, 1384, 272, 269, 898, 18327, 811, 5376, 916, 982, 1269, 307, 259, 282, 585, 1383, 267, 1109, 4399, 12534, 12978, 259, 563, 273, 269, 898, 2488, 1454, 10156, 15997, 540, 5376, 916, 540, 1269, 307, 259, 282, 585, 1383, 281, 1280, 1022, 630, 20135, 264, 25276, 1599, 1269, 325, 259, 972, 568, 513, 4845, 1109, 7445, 9064, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4090, 547, 1224, 998, 873, 910, 596, 1175, 1522, 1451, 1945, 4277, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24404, 916, 543, 17148, 454, 8310, 4860, 2213, 593, 281, 4873, 476, 1240, 267, 476, 1001, 279, 563, 8702, 547, 519, 1357, 3135, 540, 30059, 22505, 4675, 6123, 543, 922, 28930, 919, 630, 1492, 968, 19986, 3135, 5608, 968, 306, 924, 892, 610, 968, 306, 16291, 26158, 634, 1357, 3135, 568, 11262, 543, 13234, 676, 30059, 22505, 4675, 6123, 269, 7490, 1294, 519, 968, 23086, 2974, 892, 3296, 540, 938, 3896, 630, 4178, 269, 2181, 322, 2888, 6269, 6123, 28022, 264, 547, 7662, 811, 2143, 1344, 593, 519, 9165, 540, 938, 2533, 543, 585, 3346, 1344, 538, 519, 2680, 602, 596, 991, 1489, 610, 11889, 948, 563, 4322, 1357, 3135, 2474, 543, 2175, 540, 946, 630, 1492, 968, 24404, 916, 543, 17148, 5608, 968, 24404, 916, 5608, 610, 968, 13070, 872, 618, 14615, 1106, 513, 3656, 6876, 1063, 1142, 3593, 12462, 9767, 5608, 610, 968, 12528, 14615, 547, 713, 1357, 3135, 4092, 693, 8940, 269, 2181, 322, 2888, 6269, 6123, 28022, 630, 1492, 968, 306, 924, 14615, 543, 30059, 22505, 4675, 6123, 267, 922, 2385, 267, 13564, 25808, 267, 543, 824, 28337, 3549, 630, 3712, 937, 1947, 267, 968, 7093, 17800, 5608, 610, 968, 933, 14615, 7282, 707, 1569, 547, 543, 946, 540, 713, 13505, 563, 2414, 946, 519, 6796, 596, 1590, 3858, 547, 581, 3808, 676, 782, 540, 519, 2474, 540, 713, 15716, 269, 1280, 1569, 547, 543, 946, 540, 519, 13505, 267, 596, 3398, 513, 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, 1012, 7352, 766, 774, 11611, 281, 3816, 8221, 17972, 609, 8899, 7352, 766, 692, 1103, 3684, 1565, 543, 1239, 2079, 267, 4183, 5542, 568, 513, 2629, 1900, 2509, 2679, 513, 7347, 543, 3608, 2203, 269, 3171, 1155, 5542, 2337, 547, 2569, 936, 7257, 1154, 267, 2087, 6111, 267, 543, 6175, 2866, 942, 676, 9427, 13061, 543, 32118, 2934, 689, 519, 10471, 269, 2290, 2442, 1505, 585, 4183, 5542, 568, 519, 7352, 766, 774, 11611, 780, 2162, 1548, 568, 7352, 766, 774, 11611, 2496, 24868, 766, 774, 11611, 568, 513, 2241, 15977, 1935, 547, 4183, 5542, 269, 898, 18788, 782, 2934, 4171, 13065, 3085, 1405, 2743, 513, 1978, 12939, 269, 7352, 766, 568, 513, 2268, 540, 875, 1454, 519, 2418, 540, 513, 4183, 4268, 689, 519, 1611, 269, 589, 1970, 13065, 6920, 602, 519, 4183, 1281, 711, 3565, 1454, 547, 519, 2203, 267, 607, 922, 2418, 616, 5266, 3586, 780, 2162, 4208, 2422, 7352, 766, 774, 11611, 2496, 7230, 8221, 2934, 609, 1970, 13065, 666, 581, 6225, 585, 1896, 4128, 1384, 272, 269, 2878, 305, 14445, 532, 10155, 1275, 4995, 13722, 532, 519, 1297, 540, 2934, 666, 948, 547, 6175, 519, 6988, 540, 519, 2203, 543, 2087, 922, 2773, 563, 273, 269, 2878, 18719, 1324, 12985, 4398, 4995, 23225, 518, 2934, 1611, 1447, 12985, 2200, 616, 2838, 547, 5721, 543, 2196, 519, 2203, 563, 274, 269, 2878, 22879, 532, 936, 7257, 1154, 4995, 3816, 8221, 2934, 602, 798, 711, 3565, 1454, 547, 519, 2203, 666, 948, 2061, 936, 7257, 1154, 267, 799, 4386, 950, 513, 2203, 16137, 519, 2866, 1239, 1932, 1134, 543, 15824, 14605, 593, 1007, 267, 31305, 1239, 780, 2162, 1215, 547, 25956, 7352, 766, 774, 11611, 692, 2414, 2936, 7352, 766, 774, 11611, 538, 5124, 267, 649, 666, 946, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 689, 519, 2387, 12921, 16753, 8807, 324, 1155, 26000, 3005, 319, 9074, 269, 901, 1362, 2636, 721, 547, 1305, 513, 12939, 585, 519, 13065, 543, 4894, 2934, 609, 513, 13065, 2539, 982, 713, 12939, 780, 6524, 649, 666, 4019, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 267, 649, 991, 547, 8237, 938, 10471, 883, 513, 2934, 5119, 2387, 311, 319, 543, 513, 3077, 6152, 2387, 344, 18269, 1284, 666, 798, 713, 1210, 519, 2387, 1326, 318, 311, 14729, 32470, 319, 1599, 267, 799, 3217, 513, 4578, 20988, 543, 513, 3077, 6003, 607, 3403, 543, 7024, 519, 2934, 5119, 543, 3077, 6152, 912, 3499, 7090, 454, 5228, 17511, 1104, 8838, 1308, 454, 5814, 21795, 607, 19073, 454, 5228, 28189, 8807, 324, 1155, 26000, 3005, 1104, 7352, 766, 1320, 11611, 692, 3698, 1205, 318, 311, 14729, 32470, 29254, 281, 19073, 6185, 1092, 20988, 267, 3077, 9078, 8475, 281, 1193, 267, 678, 332, 318, 3534, 281, 536, 944, 815, 6936, 264, 9847, 24042, 912, 825, 8173, 825, 590, 680, 1080, 519, 3403, 4578, 20988, 883, 513, 2934, 5119, 543, 513, 3077, 6152, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 17093, 2433, 19073, 6185, 1092, 20988, 454, 1038, 634, 3403, 4578, 20988, 563, 825, 3077, 9078, 8475, 2433, 1193, 454, 1038, 634, 6003, 540, 519, 3077, 6241, 563, 825, 678, 332, 318, 3534, 2433, 536, 944, 267, 18593, 454, 1038, 6787, 547, 4894, 9343, 609, 7508, 2418, 269, 634, 9949, 568, 6936, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 24042, 454, 1038, 589, 24042, 5627, 519, 2934, 5119, 543, 519, 3077, 6152, 563, 825, 8173, 825, 952, 678, 332, 318, 3534, 912, 1038, 17093, 815, 17093, 6155, 1886, 3534, 4433, 889, 3553, 17342, 339, 13759, 9078, 8475, 20285, 825, 2473, 32470, 815, 17093, 6155, 1886, 6025, 13759, 9078, 8475, 267, 7852, 284, 272, 994, 825, 586, 32470, 815, 17093, 314, 339, 13759, 9078, 8475, 6540, 825, 2132, 2473, 32470, 267, 586, 32470, 454, 8199, 5629, 649, 723, 519, 2934, 5119, 543, 3077, 6152, 267, 649, 666, 4019, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 547, 4894, 2934, 609, 1970, 13065, 912, 3499, 7090, 454, 3698, 4894, 318, 869, 318, 19702, 766, 6958, 324, 2137, 29254, 281, 19073, 6185, 1092, 20988, 2676, 14030, 3077, 9078, 8475, 281, 1193, 2676, 14030, 12939, 281, 8838, 1308, 314, 15615, 316, 815, 476, 271, 269, 271, 2676, 14030, 3196, 318, 15209, 281, 8838, 1308, 314, 4289, 316, 815, 7183, 264, 9847, 19073, 6185, 1092, 20988, 912, 825, 8173, 825, 3816, 7174, 2934, 609, 513, 13065, 2539, 982, 519, 9138, 12939, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 17093, 2433, 19073, 6185, 1092, 20988, 454, 1038, 634, 3403, 4578, 20988, 563, 825, 3077, 9078, 8475, 2433, 1193, 454, 1038, 634, 6003, 540, 519, 3077, 6241, 563, 825, 12939, 2433, 10581, 267, 18593, 454, 1038, 17972, 609, 513, 2866, 1606, 564, 13065, 2539, 982, 713, 12939, 786, 581, 6569, 563, 1038, 634, 9949, 568, 547, 1832, 782, 2934, 609, 1875, 25179, 13065, 267, 1775, 4318, 269, 4894, 519, 2934, 454, 1038, 602, 723, 519, 1482, 1871, 538, 782, 5439, 563, 825, 3196, 318, 15209, 2433, 1592, 267, 18593, 454, 1038, 5903, 540, 2934, 799, 786, 581, 6854, 8726, 741, 13065, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 19073, 6185, 1092, 20988, 454, 1038, 23893, 607, 519, 3403, 689, 799, 2934, 609, 513, 1970, 13065, 10637, 3815, 1141, 6569, 563, 825, 8173, 825, 1948, 590, 5902, 519, 2934, 883, 1346, 547, 1184, 543, 1346, 547, 1832, 454, 825, 17093, 267, 6854, 6958, 324, 2137, 32470, 815, 8237, 6958, 324, 2137, 15461, 318, 15263, 32470, 29254, 267, 3196, 318, 15209, 994, 825, 562, 318, 651, 696, 815, 6854, 6958, 324, 2137, 32470, 17482, 314, 272, 316, 952, 6854, 6958, 324, 2137, 32470, 568, 711, 7183, 3116, 476, 271, 692, 825, 1948, 590, 5902, 519, 4578, 20988, 883, 513, 2934, 5119, 543, 513, 3077, 6152, 454, 825, 2473, 32470, 267, 586, 32470, 815, 1205, 318, 311, 14729, 32470, 29254, 267, 3077, 9078, 8475, 267, 678, 332, 318, 3534, 18989, 2020, 825, 1948, 17179, 2934, 609, 1970, 13065, 454, 825, 952, 2473, 32470, 17482, 314, 272, 316, 3436, 476, 271, 543, 2473, 32470, 17482, 314, 272, 316, 1341, 562, 318, 651, 696, 13843, 476, 272, 912, 1038, 568, 26000, 21124, 815, 7352, 766, 1320, 11611, 263, 628, 11611, 1040, 7257, 11583, 32470, 1040, 1326, 5334, 6269, 677, 4590, 1038, 2473, 32470, 815, 2473, 32470, 7456, 665, 18020, 568, 26000, 21124, 6540, 825, 1948, 1230, 13906, 523, 622, 519, 3077, 6152, 267, 519, 2934, 5119, 267, 543, 519, 6854, 2934, 454, 825, 2132, 19073, 26769, 13906, 8443, 344, 32470, 267, 2473, 32470, 267, 6854, 6958, 324, 2137, 32470, 3910, 7852, 284, 272, 994, 8199, 1103, 519, 2387, 24525, 318, 869, 318, 19702, 766, 6958, 324, 2137, 319, 1599, 267, 649, 1101, 8237, 519, 2934, 883, 1346, 547, 1184, 543, 1346, 547, 1832, 1210, 519, 2387, 20889, 6958, 324, 2137, 15461, 318, 15263, 32470, 319, 1599, 269, 901, 1599, 2636, 721, 547, 14574, 513, 1592, 540, 2934, 602, 649, 1616, 547, 1832, 267, 7488, 540, 741, 13065, 780, 2171, 1287, 8237, 519, 4578, 20988, 883, 513, 2934, 5119, 543, 513, 3077, 6152, 1210, 519, 2387, 1326, 318, 311, 14729, 32470, 319, 1599, 269, 1403, 519, 2934, 5119, 814, 811, 982, 835, 4183, 267, 649, 4019, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 547, 4894, 2934, 609, 1970, 13065, 269, 7053, 267, 649, 6677, 22760, 622, 519, 3077, 6152, 267, 519, 2934, 5119, 267, 543, 519, 6854, 2934, 883, 513, 2582, 4578, 20988, 780, 2162, 10390, 692, 24868, 766, 774, 11611, 568, 513, 2241, 2943, 2500, 1505, 585, 4183, 5542, 538, 3684, 1565, 543, 1239, 2079, 269, 1635, 9427, 2934, 609, 1970, 13065, 267, 649, 666, 2569, 10155, 1275, 267, 2087, 12985, 4398, 267, 543, 2057, 936, 7257, 1154, 269, 769, 713, 1837, 267, 649, 723, 4988, 519, 9238, 540, 7352, 766, 774, 11611, 543, 3254, 875, 547, 2936, 621, 538, 5124, 1210, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 689, 519, 2387, 12921, 16753, 8807, 324, 1155, 26000, 3005, 319, 9074, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 567, 2715, 339, 13759, 9078, 8475, 318, 9953, 8679, 825, 12939, 2433, 10581, 267, 18593, 454, 2018, 17972, 609, 513, 2866, 1606, 564, 13065, 2539, 982, 713, 12939, 786, 454, 2018, 581, 6569, 269, 634, 9949, 568, 547, 1832, 782, 2934, 609, 1875, 25179, 13065, 2676, 2018, 1775, 4318, 269, 4894, 519, 2934, 602, 723, 519, 1482, 1871, 538, 782, 5439, 563, 825, 3196, 318, 15209, 281, 5044, 6438, 267, 18593, 454, 1038, 5903, 540, 2934, 799, 786, 581, 6854, 8726, 741, 13065, 692, 825, 16849, 454, 825, 476, 9339, 8894, 825, 2715, 4206, 348, 23893, 607, 519, 3403, 689, 799, 2934, 609, 513, 1970, 13065, 10637, 3815, 1141, 6569, 563, 825, 29185, 825, 17093, 267, 6854, 6958, 324, 2137, 32470, 815, 8237, 6958, 324, 2137, 15461, 318, 15263, 32470, 29254, 267, 3196, 318, 15209, 994, 825, 562, 318, 651, 696, 815, 6854, 6958, 324, 2137, 32470, 17482, 314, 272, 316, 952, 6854, 6958, 324, 2137, 32470, 568, 711, 7183, 3116, 476, 271, 692, 825, 2473, 32470, 267, 586, 32470, 815, 1205, 318, 311, 14729, 32470, 29254, 267, 3077, 9078, 8475, 267, 678, 332, 318, 3534, 18989, 2020, 825, 952, 2473, 32470, 17482, 314, 272, 316, 3436, 476, 271, 543, 2473, 32470, 17482, 314, 272, 316, 1341, 562, 318, 651, 696, 13843, 476, 272, 912, 1038, 568, 26000, 21124, 815, 7352, 766, 14813, 3175, 15542, 528, 1320, 11611, 263, 628, 11611, 1040, 7257, 11583, 32470, 1040, 1326, 5334, 6269, 677, 4590, 1038, 2473, 32470, 815, 2473, 32470, 7456, 665, 18020, 568, 26000, 21124, 6540, 825, 2132, 19073, 26769, 13906, 8443, 344, 32470, 267, 2473, 32470, 267, 6854, 6958, 324, 2137, 32470, 3910, 7852, 284, 272, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 938, 3408, 540, 875, 1141, 649, 2661, 666, 3310, 519, 8949, 6980, 649, 2972, 256, 4653, 267, 649, 2811, 2469, 547, 3605, 875, 1114, 2010, 540, 16973, 543, 4872, 899, 595, 32385, 10620, 267, 11882, 267, 3337, 741, 2189, 1426, 8916, 543, 5389, 269, 1284, 3513, 1256, 4685, 883, 930, 4583, 6237, 8286, 543, 1451, 827, 1483, 10040, 2059, 519, 1259, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 3947, 1142, 1747, 922, 3982, 8137, 9043, 1107, 922, 2878, 25988, 2675, 1901, 1262, 269, 589, 2749, 781, 1426, 2675, 1901, 568, 8032, 676, 1082, 2188, 971, 607, 922, 1686, 267, 11585, 267, 2916, 267, 543, 1004, 269, 1280, 1383, 267, 4025, 609, 32618, 2686, 5072, 1419, 723, 2757, 8286, 5293, 1524, 689, 5108, 547, 5108, 269, 2201, 519, 824, 1688, 267, 14421, 641, 13457, 2127, 1522, 1294, 811, 3309, 32345, 1813, 547, 2518, 11776, 269, 8528, 3086, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 595, 32385, 10620, 267, 799, 19646, 513, 17175, 3575, 540, 1312, 2025, 543, 1007, 11477, 17008, 269, 4706, 3638, 6561, 11710, 689, 2038, 13896, 945, 4547, 741, 1378, 5986, 6163, 543, 5820, 689, 5125, 543, 8581, 269, 3683, 942, 267, 891, 9821, 20762, 609, 1346, 540, 824, 2950, 267, 2870, 2221, 781, 13621, 1494, 540, 32727, 696, 1190, 10366, 780, 3080, 26124, 5182, 1851, 595, 32385, 10620, 781, 15040, 22655, 568, 519, 12021, 2878, 290, 32385, 10620, 932, 8270, 1262, 269, 5213, 1405, 25657, 713, 8670, 609, 519, 11204, 4528, 282, 3079, 267, 4952, 513, 2295, 344, 5779, 14036, 29689, 609, 23342, 8869, 543, 3636, 14546, 6039, 936, 838, 698, 515, 26152, 256, 16319, 8966, 286, 2334, 781, 1317, 621, 568, 910, 855, 1810, 1405, 30391, 922, 586, 17026, 1465, 2394, 596, 2119, 621, 2439, 5194, 3815, 5935, 513, 4087, 781, 1426, 6429, 568, 922, 2878, 9418, 10040, 1262, 910, 4481, 267, 519, 5686, 540, 4213, 543, 5321, 1336, 972, 269, 6056, 827, 707, 554, 32528, 585, 513, 4090, 269, 3657, 972, 6266, 540, 14060, 610, 17365, 8637, 7404, 286, 1215, 827, 2146, 10651, 610, 6705, 6990, 286, 2353, 891, 2609, 3565, 547, 519, 3099, 543, 10333, 540, 1426, 5079, 2139, 547, 7264, 780, 1103, 1249, 267, 4683, 4058, 4249, 513, 1713, 1909, 1932, 269, 4975, 8387, 949, 1374, 622, 1978, 13102, 607, 1412, 25988, 24301, 10086, 2495, 789, 3668, 2653, 1569, 547, 4195, 3132, 543, 14312, 3681, 269, 17957, 267, 7524, 5010, 10851, 31523, 609, 552, 831, 625, 666, 6536, 5876, 543, 5647, 1851, 22730, 3168, 547, 1796, 856, 780, 3383, 267, 2436, 596, 21078, 538, 14297, 595, 32385, 10620, 610, 513, 1507, 4884, 11992, 267, 3314, 602, 707, 10450, 1404, 513, 9645, 851, 538, 8159, 519, 17705, 13000, 596, 7237, 3232, 269, 1635, 1620, 713, 4276, 1063, 3959, 267, 4087, 267, 543, 1426, 267, 649, 1831, 1732, 9280, 547, 5660, 543, 8661, 519, 4763, 540, 11477, 2833, 2066, 3013, 780, 4517, 945, 6487, 286, 9320, 835, 1554, 267, 9358, 1223, 948, 3337, 707, 2146, 781, 1426, 2675, 1901, 676, 6679, 909, 513, 13962, 7674, 707, 1920, 781, 1726, 25979, 10346, 610, 6427, 532, 513, 6216, 20642, 8670, 6273, 676, 707, 1378, 4282, 543, 9345, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 32385, 10620, 267, 11882, 568, 513, 6456, 17576, 950, 621, 2501, 547, 8819, 1258, 13929, 1642, 2074, 267, 5356, 8436, 513, 3309, 2039, 540, 11477, 2833, 602, 616, 2189, 547, 519, 3148, 269, 2060, 922, 1686, 12082, 538, 4436, 543, 9721, 6561, 267, 595, 32385, 10620, 779, 1426, 5251, 814, 7960, 936, 519, 1296, 547, 6451, 1585, 4529, 543, 7506, 269, 901, 12760, 540, 2757, 543, 2413, 10366, 5932, 513, 21318, 540, 1590, 2389, 787, 8286, 602, 1169, 21233, 547, 595, 32385, 10620, 1058, 1995, 563, 5804, 942, 3620, 517, 1819, 27825, 547, 5499, 13144, 267, 519, 2749, 3091, 513, 726, 2660, 540, 8819, 1258, 5669, 9035, 547, 5225, 782, 5493, 919, 269, 12875, 1235, 786, 1265, 606, 5044, 540, 632, 937, 762, 8286, 543, 2189, 2199, 32258, 602, 13686, 519, 2749, 779, 3638, 11477, 2528, 269, 667, 633, 2987, 607, 649, 3802, 596, 998, 519, 5023, 22476, 3536, 538, 595, 32385, 10620, 602, 616, 16798, 547, 4734, 513, 9434, 12705, 563, 2171, 786, 5031, 1808, 595, 32385, 10620, 3536, 602, 2099, 519, 2749, 779, 16471, 540, 2757, 543, 4207, 16919, 269, 3245, 519, 11599, 595, 32385, 10620, 31625, 547, 18960, 13144, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18600, 24529, 543, 16296, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 700, 12915, 11817, 910, 19484, 519, 23117, 540, 5384, 692, 1103, 519, 5318, 1163, 534, 572, 540, 1216, 4703, 1472, 519, 1158, 267, 561, 12915, 11817, 723, 11542, 899, 14980, 2366, 514, 1564, 267, 13057, 13837, 31600, 998, 30217, 748, 7297, 543, 10188, 873, 9108, 547, 741, 18353, 269, 1452, 26009, 3889, 616, 811, 982, 6071, 11265, 2261, 12069, 282, 789, 2099, 8103, 781, 2781, 553, 6804, 1391, 585, 1702, 543, 1852, 936, 938, 1604, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1686, 267, 1374, 267, 5106, 267, 543, 2686, 4644, 540, 891, 11599, 6698, 540, 17535, 3106, 780, 4089, 476, 272, 281, 589, 16684, 3778, 540, 700, 12915, 11817, 692, 6524, 11362, 883, 1808, 3344, 540, 561, 12915, 11817, 267, 1577, 721, 1101, 2263, 875, 891, 3889, 3357, 883, 6228, 269, 9147, 12977, 971, 607, 519, 21072, 543, 16380, 1031, 3595, 6786, 2059, 9381, 30917, 547, 24633, 9635, 827, 10898, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 3735, 476, 1704, 628, 2540, 602, 6131, 561, 30224, 5656, 3459, 17729, 2066, 2342, 269, 3683, 942, 267, 8441, 538, 2029, 3366, 547, 9283, 538, 8654, 1949, 267, 4070, 2326, 267, 543, 12957, 2553, 267, 13321, 561, 12915, 11817, 883, 1898, 2645, 585, 7286, 12445, 780, 4089, 476, 273, 281, 5071, 15689, 543, 9577, 1275, 692, 4263, 922, 4295, 267, 513, 561, 30224, 5713, 1079, 3119, 3252, 281, 32749, 1769, 630, 6665, 1043, 1282, 1312, 1554, 543, 3781, 264, 543, 3280, 532, 32302, 950, 15287, 568, 4057, 269, 12465, 6272, 2874, 540, 7381, 544, 21863, 20610, 8027, 3532, 26816, 1181, 11623, 693, 741, 21895, 269, 7073, 14726, 2308, 20258, 5374, 10850, 610, 1256, 796, 3430, 2105, 26255, 656, 3889, 9280, 609, 3859, 14617, 10896, 8279, 269, 17859, 540, 1106, 267, 782, 561, 12915, 11817, 2671, 1455, 2934, 6322, 693, 21924, 2039, 543, 10727, 1107, 1519, 17122, 4463, 267, 8755, 3270, 267, 2992, 832, 267, 543, 20893, 1817, 985, 780, 4089, 476, 274, 281, 31838, 1977, 700, 12915, 11817, 692, 25567, 320, 19646, 3875, 8978, 543, 15520, 1713, 561, 12915, 11817, 16559, 2429, 922, 5032, 6050, 269, 7324, 891, 21889, 616, 15729, 670, 2660, 553, 8752, 13749, 538, 3345, 10491, 267, 24144, 10361, 8752, 538, 19051, 267, 543, 8672, 1234, 13433, 700, 30224, 538, 4993, 269, 3962, 3135, 3091, 2189, 4030, 883, 6237, 11585, 267, 6189, 267, 543, 562, 27658, 18691, 1247, 7674, 607, 2442, 15805, 18845, 780, 4089, 476, 275, 281, 27264, 27557, 543, 12634, 12694, 692, 2026, 12747, 4066, 11904, 2757, 812, 2740, 4238, 28572, 267, 1082, 21305, 561, 12915, 11817, 3068, 10714, 267, 9178, 267, 610, 30739, 23542, 819, 1813, 547, 6578, 10148, 269, 18641, 267, 3906, 899, 519, 2817, 19866, 700, 30224, 27264, 2920, 630, 26822, 299, 5183, 1070, 2199, 3140, 7239, 267, 543, 4357, 9988, 616, 2324, 24091, 547, 8190, 891, 9048, 2897, 762, 21056, 269, 30027, 3585, 267, 2916, 1689, 13514, 1007, 6937, 607, 8375, 4262, 2157, 543, 14556, 4328, 15420, 21279, 7925, 4609, 780, 4089, 476, 276, 281, 17583, 547, 7351, 12367, 543, 7464, 21509, 6201, 692, 9213, 267, 15870, 2029, 814, 7361, 5486, 5896, 16126, 593, 2168, 12508, 585, 12445, 269, 11048, 267, 561, 12915, 11817, 3136, 9159, 1857, 9345, 7064, 547, 17105, 1719, 538, 6561, 9235, 267, 13261, 19074, 3785, 267, 543, 7499, 11269, 538, 3332, 267, 4670, 267, 543, 8613, 269, 1280, 3236, 267, 2278, 9098, 23006, 571, 781, 1453, 781, 1433, 3126, 968, 299, 30224, 7731, 892, 3096, 10236, 25806, 2831, 547, 4001, 3407, 1272, 4245, 1369, 513, 3638, 569, 16545, 17535, 4259, 269, 6684, 267, 32026, 899, 968, 763, 7831, 8752, 26283, 892, 8774, 1769, 593, 519, 1480, 2427, 540, 891, 23836, 3889, 1247, 10223, 5571, 11091, 3646, 780, 6962, 1384, 4407, 2899, 4105, 3334, 540, 7286, 5989, 267, 2413, 7760, 723, 9927, 561, 12915, 11817, 883, 19644, 6698, 540, 9811, 6670, 792, 781, 15832, 543, 7045, 269, 1635, 3695, 741, 588, 528, 1221, 2250, 338, 267, 6946, 6272, 267, 11972, 9371, 267, 543, 4207, 10083, 267, 649, 2744, 513, 4514, 7071, 585, 891, 7415, 905, 1846, 540, 4702, 543, 27265, 269, 3414, 4797, 1489, 543, 14223, 267, 2104, 5481, 949, 849, 1995, 519, 9059, 540, 7555, 29691, 513, 12798, 933, 696, 1596, 2632, 800, 267, 575, 5074, 2390, 513, 32344, 581, 13154, 22815, 1424, 519, 14334, 267, 22090, 27128, 8941, 540, 1164, 15798, 5869, 923, 543, 2295, 2851, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 14967, 623, 18150, 8868, 619, 941, 7242, 860, 1242, 676, 4460, 30805, 607, 519, 5757, 1185, 606, 27093, 6891, 1394, 538, 519, 476, 5197, 271, 338, 269, 1306, 3013, 6410, 7178, 519, 9252, 2692, 1846, 941, 4904, 609, 12464, 6840, 267, 11315, 3197, 267, 840, 18291, 267, 4395, 4536, 2006, 543, 16681, 21031, 269, 898, 568, 6059, 602, 693, 621, 781, 8445, 2673, 547, 476, 1556, 267, 1822, 9252, 2692, 1846, 941, 22892, 909, 543, 1524, 519, 269, 634, 2203, 3800, 476, 1789, 1279, 689, 6367, 547, 29523, 20193, 781, 513, 32263, 14967, 623, 18150, 20253, 601, 6008, 14781, 520, 2203, 602, 786, 581, 513, 6643, 4062, 585, 1022, 4055, 543, 568, 2386, 547, 1831, 513, 30410, 7458, 1920, 25752, 5979, 558, 269, 5903, 532, 543, 10959, 2533, 3177, 676, 13504, 293, 5766, 269, 634, 6221, 834, 21914, 2986, 14967, 623, 18150, 24747, 29673, 5211, 29539, 476, 1789, 8381, 7844, 1306, 5145, 1194, 257, 568, 538, 9042, 2094, 13638, 267, 5130, 476, 2918, 267, 476, 1001, 277, 269, 901, 6221, 568, 538, 519, 7121, 834, 8624, 937, 17156, 315, 9558, 1636, 566, 315, 22517, 1846, 1299, 590, 4721, 315, 8448, 4425, 520, 1299, 26676, 11814, 17156, 2668, 634, 22673, 568, 834, 520, 331, 656, 529, 326, 3424, 257, 543, 568, 4092, 538, 1715, 3840, 269, 901, 6221, 666, 581, 25855, 547, 2136, 2276, 267, 4516, 267, 2136, 8003, 267, 16862, 267, 27597, 267, 30355, 25474, 267, 31697, 267, 16231, 14081, 267, 5685, 5055, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 12915, 11817, 257, 607, 851, 540, 834, 16300, 13493, 1315, 18815, 1315, 4425, 1846, 267, 590, 4721, 1299, 7201, 4248, 14958, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1306, 12756, 2893, 2066, 689, 1200, 4387, 781, 11380, 267, 1352, 7948, 1405, 948, 855, 1745, 16397, 676, 519, 5868, 1352, 1185, 1175, 4607, 269, 18127, 2783, 267, 789, 1572, 621, 269, 898, 5433, 899, 513, 1272, 4845, 269, 2701, 3576, 513, 2620, 7362, 1354, 6998, 267, 834, 3674, 972, 4376, 594, 666, 798, 6484, 958, 547, 948, 4383, 713, 12482, 7804, 269, 10548, 790, 345, 10709, 539, 1394, 538, 1010, 11381, 543, 6743, 15826, 585, 513, 4090, 269, 834, 11039, 2437 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6637, 7170, 281, 667, 3496, 3414, 3778, 281, 1215, 8866, 3807, 6145, 1411, 4477, 6244, 23426, 3776, 2622, 2439, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 1454, 938, 1158, 814, 4957, 936, 942, 286, 3245, 519, 9660, 649, 5957, 547, 519, 2029, 649, 946, 1169, 1554, 267, 621, 781, 2182, 547, 4952, 1018, 1272, 729, 899, 1256, 1175, 513, 4627, 1296, 3516, 256, 1809, 835, 3364, 602, 18387, 1405, 4957, 568, 1004, 781, 2648, 540, 2348, 1187, 543, 11589, 2933, 998, 7544, 780, 5331, 1373, 513, 4819, 2713, 1282, 519, 11633, 7169, 538, 519, 3735, 476, 5197, 271, 338, 269, 5517, 1559, 941, 1630, 4040, 267, 4872, 941, 3395, 267, 543, 1004, 941, 3001, 2476, 689, 741, 11396, 547, 1265, 6009, 538, 22125, 4683, 2127, 269, 2060, 865, 1082, 1007, 1004, 4947, 1927, 538, 835, 1747, 267, 972, 729, 3808, 547, 581, 930, 5863, 15472, 8345, 256, 1656, 602, 781, 4010, 1018, 5949, 780, 1103, 1249, 267, 3214, 5129, 513, 2462, 1909, 538, 5935, 519, 23929, 540, 519, 942, 269, 1358, 1131, 5531, 693, 8265, 6105, 543, 2146, 2621, 267, 1141, 789, 1131, 6427, 1007, 7575, 543, 2671, 873, 609, 1142, 824, 269, 2368, 540, 891, 23929, 2968, 3552, 569, 2442, 267, 10825, 782, 2066, 519, 2197, 543, 5555, 1472, 519, 1158, 780, 3719, 15472, 7012, 1405, 1175, 513, 1259, 585, 3214, 547, 723, 1187, 282, 621, 849, 5280, 3142, 2950, 1927, 269, 4438, 2352, 2053, 267, 971, 607, 10617, 610, 2804, 1244, 11306, 267, 1004, 5828, 547, 7544, 607, 513, 2707, 540, 4313, 543, 9322, 269, 1635, 4947, 1927, 543, 4687, 741, 2648, 540, 2575, 543, 3350, 267, 3214, 1223, 7340, 741, 13542, 585, 513, 1247, 543, 1175, 2972, 1373, 3214, 780, 24137, 4464, 547, 2221, 267, 543, 711, 1454, 814, 4957, 269, 17610, 267, 519, 6163, 540, 7544, 1522, 1413, 1114, 1631, 982, 789, 1705, 1394, 1287, 267, 855, 519, 6891, 3788, 519, 1482, 269, 6787, 621, 781, 2736, 323, 3496, 593, 2749, 10754, 267, 12048, 5577, 538, 28180, 3490, 906, 267, 610, 2757, 12563, 23929, 5293, 1524, 998, 5481, 267, 3214, 616, 1869, 1210, 7544, 607, 513, 1259, 547, 1921, 609, 1866, 543, 1711, 1945, 4190, 780, 4517, 945, 6487, 1107, 6148, 14693, 267, 513, 7544, 2813, 676, 3214, 1175, 899, 596, 786, 1831, 519, 1985, 2518, 14815, 256, 1924, 1810, 1405, 581, 12922, 547, 1205, 856, 972, 543, 1376, 3001, 269, 5808, 6487, 1018, 2186, 540, 1764, 596, 1522, 723, 593, 519, 1158, 540, 7544, 2496, 12244, 14313, 1384, 265, 3194, 2199, 12563, 23929, 543, 2119, 3450, 873, 547, 707, 15032, 563, 265, 8073, 707, 1378, 7544, 6296, 543, 1685, 621, 585, 707, 2828, 543, 1920, 563, 265, 5994, 596, 5030, 1282, 519, 11633, 7169, 269, 1548, 2186, 540, 7544, 1131, 596, 1711, 547, 2992, 707, 2833, 286, 8571, 513, 4605, 540, 3054, 7900, 621, 543, 2671, 621, 609, 707, 1362, 563, 265, 19877, 2576, 538, 707, 2146, 945, 14560, 547, 7544, 269, 9105, 873, 1946, 789, 3323, 15472, 543, 1018, 621, 1797, 547, 873, 269, 9523, 741, 1650, 609, 707, 1362, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10674, 2517, 4178, 6155, 10216, 268, 1636, 531, 3820, 8070, 2745, 1607, 568, 519, 7608, 4528, 540, 513, 1957, 3370, 538, 2274, 15370, 270, 10753, 529, 597, 269, 901, 1957, 814, 1044, 701, 518, 24595, 855, 1281, 711, 1331, 519, 3803, 17404, 6169, 2275, 528, 516, 2388, 610, 4760, 335, 698, 1588, 5861, 2787, 585, 519, 3312, 3370, 1957, 630, 11437, 540, 2594, 2567, 3891, 1731, 7219, 523, 267, 590, 269, 630, 1708, 272, 264, 291, 3496, 998, 1272, 538, 513, 4657, 1158, 281, 5020, 1576, 267, 3140, 942, 543, 3978, 548, 15370, 8867, 15370, 270, 476, 274, 16966, 547, 519, 3370, 4528, 949, 2154, 20478, 12991, 11065, 269, 1879, 19696, 713, 960, 267, 13712, 519, 3312, 3370, 1957, 269, 476, 1708, 272, 634, 8191, 4433, 1040, 15618, 676, 22252, 320, 5177, 17290, 267, 9467, 607, 13177, 1299, 14731, 27026, 269, 901, 568, 606, 7046, 7457, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 16920, 9084, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 17821, 16532, 799, 14998, 1875, 10687, 14293, 556, 14025, 267, 3892, 267, 543, 10063, 322, 2389, 542, 538, 1415, 5420, 267, 3177, 519, 3312, 960, 568, 5265, 11855, 267, 543, 568, 711, 12012, 267, 9927, 267, 11497, 16742, 2390, 538, 1022, 1259, 10422, 9007, 550, 3095, 547, 713, 4528, 281, 10674, 2517, 1248, 21993, 321, 269, 572, 270, 637, 9876, 286, 1248, 2712, 333, 281, 333, 16818, 281, 572, 281, 330, 879, 281, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 8466, 1315, 4937, 1315, 4317, 7827, 1299, 21637, 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, 2878, 309, 3336, 4422, 519, 11272, 2961, 281, 1215, 15346, 1715, 15306, 2052, 16440, 14559, 543, 6435, 519, 14136, 256, 4373, 20756, 972, 267, 2104, 3401, 543, 3375, 24237, 256, 4653, 649, 2811, 2469, 547, 4685, 883, 1945, 2706, 3579, 543, 1271, 8345, 538, 519, 18914, 2872, 12544, 3014, 1680, 518, 1572, 834, 309, 12317, 1834, 3562, 8566, 5090, 2437, 610, 966, 273, 294, 267, 2029, 269, 5213, 1405, 5855, 952, 621, 4992, 7294, 282, 596, 3513, 4166, 1831, 513, 605, 256, 9462, 504, 501, 414, 504, 350, 20804, 6930, 490, 491, 692, 5331, 2348, 707, 1360, 1378, 3167, 1286, 267, 1990, 6235, 1472, 4884, 1247, 4543, 4688, 1312, 2724, 543, 519, 1604, 256, 16319, 1932, 1434, 547, 581, 3020, 286, 4270, 267, 3180, 5196, 707, 16295, 1317, 609, 966, 273, 294, 10509, 267, 713, 5326, 3587, 4641, 256, 2913, 781, 1101, 1174, 1018, 2306, 606, 3167, 1286, 2027, 3379, 547, 922, 17405, 13413, 780, 265, 11272, 6517, 4558, 1648, 538, 1804, 9075, 267, 1175, 899, 707, 6049, 610, 16979, 269, 901, 13071, 873, 2196, 12347, 1510, 1022, 5739, 5434, 269, 962, 599, 585, 2973, 2011, 2336, 265, 932, 1173, 532, 707, 3167, 1286, 568, 899, 1201, 3241, 532, 267, 4849, 3079, 540, 9683, 513, 3154, 6728, 267, 596, 11690, 621, 883, 513, 12123, 6728, 269, 14168, 890, 6470, 2439, 3086, 4952, 1373, 2111, 547, 798, 811, 982, 1175, 6117, 707, 3167, 1286, 1765, 6343, 952, 596, 1223, 849, 948, 1379, 707, 1753, 543, 1256, 2671, 930, 10433, 609, 707, 12543, 286, 2334, 781, 1141, 966, 273, 294, 2501, 538, 256, 898, 2636, 1079, 17574, 2792, 1063, 707, 3167, 1286, 543, 519, 1379, 7470, 630, 9767, 917, 267, 1346, 2462, 20610, 543, 12904, 8744, 5201, 547, 707, 2777, 1040, 2060, 966, 273, 294, 267, 1934, 781, 1018, 9059, 4523, 1384, 272, 269, 2659, 3167, 1286, 10997, 950, 5201, 568, 10731, 543, 10464, 267, 2356, 3735, 693, 3781, 610, 1282, 1055, 24406, 752, 3108, 563, 273, 269, 1879, 5201, 3747, 26389, 267, 707, 1286, 12909, 547, 519, 1379, 7470, 543, 15920, 3063, 1648, 1394, 267, 7303, 3109, 8083, 543, 9494, 3025, 2724, 2336, 274, 269, 6884, 267, 596, 949, 1256, 7118, 12587, 585, 3246, 713, 3407, 3028, 547, 707, 2146, 256, 13185, 827, 3094, 2914, 514, 3871, 2439, 4131, 781, 1589, 540, 966, 273, 294, 899, 513, 7874, 8378, 4871, 602, 8637, 543, 8843, 1648, 3079, 540, 9489, 269, 1635, 2324, 1927, 267, 649, 1711, 8902, 2950, 267, 18668, 530, 24548, 267, 543, 513, 22928, 4541, 256, 1924, 1985, 942, 2576, 12134, 1946, 596, 2648, 3167, 6517, 267, 2995, 1412, 655, 789, 2811, 711, 1152, 1187, 547, 5397, 855, 616, 5100, 4891, 538, 2870, 513, 1732, 1158, 2439, 4517, 7058, 1018, 286, 14992, 899, 7720, 1460, 320, 543, 2817, 25373, 616, 2907, 1818, 713, 4755, 998, 2090, 543, 3785, 5473, 4213, 543, 6608, 269, 5808, 6487, 1765, 16673, 2041, 835, 1554, 9358, 1223, 1291, 971, 513, 14262, 11036, 256, 13773, 8049, 267, 1832, 1565, 267, 543, 3314, 2507, 1492, 2104, 540, 3039, 6283, 6238, 1318, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 851, 540, 519, 4972, 585, 6355, 267, 6052, 543, 11633, 15613, 630, 23813, 3041, 264, 6174, 3562, 3766, 5090, 1788, 630, 309, 273, 294, 1070, 519, 2817, 25373, 543, 6007, 543, 3859, 6109, 7720, 1460, 320, 786, 1491, 851, 540, 538, 513, 1353, 547, 1294, 875, 3167, 6174, 946, 666, 4324, 10256, 563, 2026, 851, 540, 513, 931, 24832, 540, 14540, 6131, 547, 3384, 2048, 323, 18182, 7266, 1042, 1870, 3631, 547, 1489, 513, 4028, 5066, 856, 540, 6174, 3562, 3766, 5090, 630, 309, 273, 294, 264, 4066, 5608, 519, 1353, 786, 1413, 693, 519, 1655, 2081, 547, 10996, 643, 1047, 6174, 547, 7470, 2029, 563, 2419, 5142, 19159, 267, 7720, 1460, 320, 8783, 2029, 11464, 267, 1767, 281, 968, 25821, 6472, 786, 1404, 513, 1883, 1909, 538, 1232, 12365, 2358, 4155, 3560, 855, 2322, 1007, 7569, 593, 938, 1379, 3060, 269, 966, 273, 294, 1223, 3142, 2101, 9806, 267, 676, 5883, 713, 3747, 543, 4227, 519, 991, 585, 14427, 18175, 10232, 563, 14071, 666, 2539, 519, 1942, 540, 26539, 3167, 6517, 543, 1489, 2208, 540, 713, 5823, 676, 4687, 891, 9806, 9425, 267, 865, 602, 10256, 4324, 689, 519, 946, 540, 741, 9075, 547, 1489, 519, 7470, 3034, 13233, 25373, 543, 5375, 5295, 17392, 786, 18973, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 309, 12317, 1834, 3562, 8566, 5090, 630, 309, 273, 294, 264, 5303, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 14825, 9394, 12752, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 875, 2029, 666, 948, 721, 1711, 1732, 4255, 543, 17118, 256, 1411, 1522, 1589, 602, 4152, 568, 1175, 827, 11423, 538, 18616, 593, 513, 1085, 656, 1258, 6656, 610, 16460, 2055, 693, 519, 1439, 540, 513, 3184, 269, 1809, 1705, 596, 917, 602, 972, 616, 1004, 945, 1353, 875, 547, 1118, 4255, 811, 1187, 267, 4277, 267, 543, 2500, 286, 2334, 781, 1141, 2029, 2501, 538, 2439, 5331, 952, 649, 1223, 1491, 513, 1449, 602, 5433, 899, 4730, 513, 3381, 3014, 610, 10004, 1154, 609, 513, 8773, 269, 16319, 3579, 267, 1318, 286, 1452, 5686, 540, 4255, 616, 1572, 834, 974, 9592, 10276, 327, 2331, 3688, 2437, 1317, 789, 946, 2029, 547, 1118, 873, 811, 7317, 543, 2502, 269, 1358, 666, 1397, 5961, 267, 7044, 267, 610, 1256, 2307, 596, 547, 8749, 543, 6749, 4267, 3079, 540, 1175, 8939, 835, 689, 513, 1592, 780, 3719, 1946, 979, 998, 782, 713, 8373, 286, 4270, 267, 950, 649, 1491, 513, 1449, 267, 621, 781, 711, 1175, 827, 7487, 1018, 649, 917, 693, 602, 4090, 269, 18873, 666, 849, 2995, 721, 1018, 649, 991, 547, 960, 593, 543, 875, 1134, 649, 1174, 1114, 3584, 269, 1635, 1818, 4255, 811, 1187, 543, 2502, 267, 891, 2029, 10276, 327, 2331, 3688, 666, 2965, 948, 721, 1451, 1732, 2439, 4131, 781, 1413, 693, 930, 1806, 269, 5994, 2921, 513, 2257, 1449, 1141, 596, 1205, 547, 2263, 513, 5691, 2978, 543, 2932, 6901, 269, 2107, 6148, 596, 2811, 1565, 513, 4914, 1893, 267, 543, 596, 2259, 6340, 609, 513, 2780, 1982, 602, 17358, 1018, 596, 2161, 543, 3947, 596, 5955, 269, 15346, 267, 26001, 2496, 4913, 267, 2870, 891, 2029, 10276, 327, 2331, 3688, 3884, 1405, 2653, 269, 1284, 991, 547, 1118, 2386, 789, 2268, 1018, 649, 1616, 873, 547, 2268, 630, 3697, 1620, 513, 3621, 1523, 610, 6616, 6863, 1913, 1070, 543, 602, 3025, 814 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 25865, 1824, 3340, 9836, 1427, 20995, 3292, 6322, 693, 30015, 4600, 609, 1270, 15363, 1983, 2877, 585, 17706, 12371, 32069, 609, 12957, 4066, 780, 276, 269, 276, 12834, 454, 1366, 21387, 1607, 3184, 3177, 606, 538, 3829, 2079, 540, 10319, 11608, 267, 16439, 741, 5072, 1394, 547, 23806, 899, 14339, 2284, 15588, 338, 945, 19424, 539, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 305, 617, 2284, 15588, 338, 7012, 1406, 8348, 538, 476, 1220, 273, 547, 9651, 513, 7058, 827, 950, 519, 2591, 540, 17562, 1131, 581, 7753, 269, 968, 8253, 538, 1079, 1296, 610, 1614, 1296, 2223, 15588, 338, 7682, 539, 1282, 606, 12752, 25582, 5967, 602, 1032, 269, 968, 3719, 568, 621, 2469, 547, 581, 1934, 538, 476, 1789, 1296, 610, 476, 2412, 1296, 286, 594, 6557, 711, 3833, 5423, 1496, 1729, 1118, 513, 12605, 316, 3034, 26170, 538, 513, 1433, 3370, 1287, 543, 519, 5967, 267, 646, 5795, 721, 513, 32708, 693, 1018, 621, 1131, 1413, 899, 950, 621, 8452, 281, 968, 13681, 1824, 602, 1491, 6044, 3362, 2864, 982, 3283, 602, 2154, 3108, 540, 5752, 942, 282, 11608, 602, 666, 948, 538, 1507, 1532, 2255, 4238, 2864, 982, 3283, 602, 1152, 1118, 2883, 2631, 538, 6024, 610, 5176, 6024, 6378, 5106, 5468, 609, 1279, 8255, 282, 11608, 609, 1514, 5872, 1983, 282, 892, 543, 11608, 602, 2569, 3790, 593, 519, 12051, 6989, 563, 2691, 15588, 338, 543, 1010, 2754, 1765, 515, 779, 13653, 543, 11632, 302, 540, 681, 996, 1074, 29790, 1765, 842, 22004, 645, 1314, 614, 538, 476, 1001, 273, 267, 646, 8910, 9447, 593, 1169, 20487, 269, 7831, 1032, 267, 609, 519, 4367, 540, 27517, 9807, 267, 646, 9447, 593, 1869, 2943, 1776, 1271, 521, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 14464, 11106, 1315, 4937, 1315, 29790, 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, 1724, 281, 14958, 532, 3281, 2454, 10439, 15881, 2510, 281, 1323, 22410, 540, 19565, 27140, 18753, 5071, 12708, 338, 692, 1724, 269, 272, 4985, 692, 24058, 6386, 616, 3532, 2645, 585, 2792, 267, 3226, 950, 18705, 585, 11174, 15923, 9458, 945, 949, 581, 3384, 741, 2542, 8223, 5759, 269, 901, 3184, 12538, 883, 8642, 1374, 30304, 2556, 547, 1711, 2502, 3308, 2984, 538, 5373, 543, 14745, 8658, 269, 1284, 2263, 1585, 3344, 971, 607, 11768, 267, 1462, 2762, 267, 2681, 3069, 267, 543, 9423, 2553, 1247, 10771, 10333, 543, 13784, 269, 1635, 1620, 891, 3741, 267, 14971, 5159, 543, 9858, 666, 4739, 11617, 8903, 543, 6457, 1302, 18398, 1568, 602, 25407, 1762, 3988, 543, 3565, 9797, 547, 741, 1565, 1995, 780, 1724, 269, 273, 634, 5295, 540, 10439, 338, 538, 27884, 692, 24058, 338, 1404, 513, 2629, 1909, 538, 5935, 938, 8226, 543, 3965, 540, 1344, 630, 289, 691, 27451, 1299, 27659, 2023, 267, 476, 1220, 279, 1040, 1879, 1031, 3927, 267, 789, 666, 7520, 4514, 6278, 609, 1950, 2093, 267, 1818, 873, 811, 3015, 543, 12300, 585, 3309, 6267, 630, 295, 14873, 7315, 1696, 620, 1421, 476, 1001, 275, 1040, 769, 1880, 267, 3308, 6386, 723, 1044, 3254, 547, 3895, 7924, 1646, 1851, 1453, 676, 3246, 3255, 585, 8026, 2565, 3206, 543, 6568, 630, 303, 656, 1446, 334, 267, 476, 1220, 276, 1040, 9182, 267, 1620, 875, 547, 10244, 519, 1379, 540, 23877, 538, 9423, 568, 14063, 585, 1346, 2324, 1369, 11174, 15923, 11964, 899, 8642, 9089, 267, 14676, 267, 543, 11609, 3594, 780, 1724, 269, 274, 25043, 540, 18753, 5071, 12708, 338, 692, 20877, 545, 1374, 13315, 1896, 4295, 2609, 602, 960, 1927, 547, 6655, 6835, 998, 3308, 1797, 269, 1452, 4909, 3334, 1331, 1384, 320, 264, 20233, 719, 281, 5029, 1944, 21849, 543, 21370, 1543, 593, 513, 2985, 3340, 6297, 7156, 540, 15796, 267, 3666, 267, 12972, 267, 16133, 267, 17279, 267, 4334, 267, 543, 3043, 2230, 269, 589, 1134, 27059, 11768, 10274, 3988, 262, 4064, 12347, 2066, 3817, 267, 7393, 31824, 543, 8223, 630, 299, 573, 6202, 1696, 620, 1421, 476, 1001, 271, 6393, 321, 264, 11978, 2762, 281, 19805, 3617, 13944, 6163, 267, 7306, 267, 12035, 267, 4778, 267, 543, 19437, 5849, 1850, 1043, 543, 8353, 24312, 24886, 2010, 23293, 269, 3958, 267, 26936, 1826, 5865, 609, 3077, 22097, 2337, 3715, 3159, 543, 5639, 267, 5807, 4296, 1063, 1543, 543, 5304, 630, 289, 20780, 327, 32231, 267, 476, 1001, 277, 6393, 322, 264, 7822, 7869, 281, 4197, 2681, 6530, 543, 922, 3929, 1764, 6087, 9858, 547, 18427, 5551, 30181, 543, 6114, 269, 5047, 267, 7311, 2681, 11745, 625, 267, 24716, 267, 543, 25327, 10607, 2949, 3308, 22122, 630, 298, 816, 1299, 11709, 10557, 17703, 523, 267, 476, 1708, 272, 6393, 323, 264, 22569, 2044, 281, 29922, 5078, 11052, 1765, 31347, 26278, 267, 6537, 267, 610, 25274, 2813, 1765, 12047, 1343, 4656, 540, 2686, 22740, 8481, 267, 13513, 267, 543, 6041, 269, 4400, 7779, 23877, 849, 2154, 2930, 6791, 538, 5888, 267, 8654, 267, 5133, 267, 543, 27864, 630, 9928, 2714, 267, 476, 1001, 278, 6393, 1724, 269, 275, 570, 2454, 12267, 3414, 10439, 15881, 2510, 692, 19931, 3308, 6386, 9192, 2178, 13654, 8642, 1374, 3741, 609, 2500, 9423, 2553, 269, 6206, 2994, 1331, 1384, 320, 264, 10886, 4886, 281, 12861, 11541, 3197, 3322, 8888, 3982, 23079, 267, 14789, 267, 543, 10080, 269, 5015, 267, 5812, 18572, 2429, 513, 3126, 8992, 5467, 14017, 543, 5092, 630, 18250, 30208, 267, 476, 1960, 274, 6393, 321, 264, 14938, 1113, 3203, 281, 13419, 1005, 9696, 25401, 543, 17396, 569, 2636, 585, 5347, 13289, 1063, 8440, 610, 14604, 269, 2561, 10187, 2299, 533, 3166, 8761, 543, 18895, 706, 1186, 2226, 24457, 543, 26675, 267, 4412, 2454, 3988, 4464, 630, 292, 529, 1676, 267, 476, 1220, 279, 6393, 322, 264, 13368, 532, 543, 23531, 281, 21864, 25194, 3664, 1463, 13588, 262, 3007, 2509, 1808, 17122, 2798, 269, 22034, 8795, 8929, 7306, 267, 7285, 267, 543, 5380, 8591, 3846, 1143, 543, 3099, 547, 15885, 630, 300, 14525, 267, 476, 1001, 275, 6393, 323, 264, 2622, 20761, 281, 20472, 532, 15138, 5468, 20964, 1825, 15344, 5054, 1141, 2984, 11200, 269, 6762, 569, 2143, 1394, 323, 28979, 1683, 2796, 267, 13597, 267, 543, 11007, 630, 7468, 1550, 267, 476, 1001, 273, 6393, 324, 264, 27484, 16709, 281, 18601, 8471, 4798, 24889, 609, 3376, 9458, 267, 10489, 2056, 2085, 267, 2528, 267, 543, 1893, 7496, 269, 29110, 4221, 2390, 4143, 1514, 2152, 7512, 8086, 543, 5188, 630, 301, 601, 267, 476, 1220, 276, 6393, 1724, 269, 276, 29456, 543, 769, 12807, 538, 10439, 15881, 2510, 692, 16966, 1043, 543, 8537, 3308, 6386, 8597, 547, 3309, 3988, 4721, 676, 10893, 1761, 7496, 547, 7127, 269, 19047, 1331, 1384, 320, 264, 13068, 5678, 281, 4635, 2241, 6863, 267, 13801, 5220, 267, 543, 3551, 16105, 16881, 1620, 585, 28928, 543, 10010, 3988, 7567, 630, 13233, 7335, 19937, 267, 476, 1220, 271, 6393, 321, 264, 16816, 7956, 543, 12005, 2677, 18587, 281, 21278, 10855, 8925, 585, 3308, 1543, 5849, 3160, 1569, 585, 9420, 610, 11617, 15176, 2043, 630, 310, 274, 290, 5680, 12474, 29456, 13832, 267, 476, 1708, 272, 6393, 322, 264, 667, 5744, 23830, 281, 3493, 1112, 532, 9867, 1560, 2010, 267, 6803, 885, 267, 25469, 267, 6502, 267, 5759, 267, 543, 14227, 4567, 525, 9356, 4641, 543, 2591, 11475, 630, 299, 1168, 529, 267, 476, 1001, 280, 6393, 323, 264, 8836, 14847, 775, 281, 23227, 908, 2463, 585, 1114, 4529, 3322, 15388, 9821, 267, 12583, 267, 543, 5389, 547, 2057, 3765, 10517, 6974, 725, 610, 1202, 27383, 630, 291, 9007, 4149, 1706, 802, 1299, 29885, 267, 476, 1001, 271, 6393, 1724, 269, 277, 10390, 692, 1103, 3932, 267, 13215, 8642, 1374, 30304, 16877, 5159, 543, 9858, 547, 1711, 8903, 3308, 6386, 5827, 540, 2502, 1762, 3988, 538, 6209, 2081, 269, 1635, 14139, 3280, 13654, 1702, 267, 5499, 9423, 2553, 267, 543, 18532, 9270, 585, 10333, 543, 13784, 267, 15888, 666, 6536, 7214, 2208, 267, 11349, 6568, 267, 543, 8300, 7279, 1851, 24567, 8186, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 547, 3503, 513, 476, 1220, 271, 8862, 867, 4828, 543, 1215, 3509, 9664, 1772, 898, 888, 2791, 666, 3362, 17492, 513, 476, 1220, 271, 30087, 1557, 609, 519, 948, 540, 19208, 610, 1022, 824, 3642, 1257, 11718, 269, 898, 786, 581, 1134, 27787, 543, 18613, 1480, 1603, 282, 707, 7548, 1522, 1256, 3494, 596, 5206, 621, 269, 1717, 267, 1210, 707, 4081, 1603, 1983, 568, 513, 1732, 4781, 952, 596, 1616, 547, 1711, 606, 1557, 602, 6763, 856, 563, 5978, 4274, 2319, 6499, 547, 6542, 602, 1557, 1603, 666, 581, 11791, 543, 3078, 282, 1175, 1491, 519, 2953, 3268, 543, 946, 938, 4388, 256, 769, 713, 2376, 267, 649, 3580, 2491, 875, 547, 2328, 606, 14222, 476, 1220, 271, 30087, 1557, 538, 835, 1554, 563, 268, 9462, 497, 507, 476, 1220, 271, 6478, 4828, 454, 268, 32273, 483, 476, 1220, 271, 6478, 4828, 1107, 5153, 676, 5153, 454, 268, 9462, 497, 504, 4828, 7151, 454, 268, 32273, 491, 20804, 5675, 8871, 14186, 454, 268, 9462, 498, 492, 2859, 4828, 11762, 454, 268, 9462, 498, 501, 22108, 454, 6930, 497, 507, 1548, 6496, 513, 476, 1220, 271, 6478, 4828, 6733, 6145, 888, 2252, 596, 2461, 5432, 609, 519, 2497, 543, 11249, 4170, 267, 1603, 513, 476, 1220, 271, 30087, 1557, 1058, 581, 2653, 269, 769, 519, 1739, 3296, 267, 649, 3580, 7291, 519, 1114, 2694, 540, 513, 476, 1220, 271, 30087, 4081, 1957, 543, 2491, 875, 547, 1935, 1142, 3296, 563, 273, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 3203, 1315, 14301, 1315, 18753, 5071, 12708, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2999, 13892, 285, 2330, 303, 6025, 261, 2741, 282, 307, 264, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 570, 274, 1299, 2086, 282, 570, 315, 19008, 476, 272, 267, 8607, 476, 272, 910, 1422, 2765, 476, 272, 307, 1341, 1422, 2765, 476, 272, 346, 274, 307, 317, 273, 348, 1299, 2086, 282, 570, 1422, 28254, 476, 272, 269, 1422, 754, 26231, 1162, 6525, 9572, 13892, 285, 634, 2165, 1269, 272, 20081, 259, 538, 519, 2063, 4082, 786, 2285, 596, 519, 12808, 1611, 267, 2094, 2390, 1114, 11868, 519, 595, 5263, 596, 3513, 1205, 513, 2165, 1269, 272, 20081, 317, 273, 8961, 799, 2390, 14921, 676, 1269, 307, 259, 543, 10128, 547, 1205, 519, 1611, 596, 1439, 909, 10128, 1269, 272, 20081, 259, 689, 1269, 272, 259, 547, 4399, 13727, 10608, 9572, 335, 285, 2999, 335, 285, 2026, 585, 519, 11667, 267, 621, 5654, 607, 1498, 1022, 16133, 547, 4399, 7032, 270, 273, 259, 568, 1175, 513, 2699, 1200, 2590, 267, 1317, 6061, 585, 2999, 13892, 285, 259, 303, 6025, 261, 2741, 282, 307, 264, 815, 476, 272, 270, 273, 259, 9572, 13892, 285, 11729, 1269, 307, 284, 272, 1341, 1422, 2765, 476, 272, 3189, 6912, 346, 274, 3686, 1422, 13627, 476, 272, 269, 276, 6507, 3374, 315, 25854, 10608, 9572, 335, 285, 5291, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 14625, 30444, 270, 28947, 1532, 15277, 3491, 704, 2906, 6361, 1673, 3428, 673, 7146, 268, 1120, 21288, 1606, 2448, 338, 270, 14625, 23884, 258, 14625, 23884, 8382, 676, 966, 2795, 333, 1849, 11948, 327, 15676, 585, 17583, 1063, 3601, 540, 13552, 673, 543, 8210, 326, 21288, 7010, 966, 2795, 333, 1849, 11948, 327, 15676, 476, 1001, 273, 268, 1556, 268, 2190, 307, 2420, 281, 3451, 281, 3066, 313, 476, 1001, 273, 268, 1321, 268, 6734, 307, 4905, 281, 2767, 281, 4905, 313, 2999, 335, 12481, 655, 285, 31171, 281, 594, 4312, 8242, 713, 2626, 547, 2992, 519, 5363, 8292, 1500, 676, 1656, 637, 31704, 2100, 1188, 328, 543, 27950, 24261, 27135, 655, 20565, 335, 285, 2999, 15590, 285, 2999, 335, 285, 2026, 519, 824, 4267, 5018, 267, 519, 1101, 2629, 11984, 596, 1590, 1118, 568, 602, 930, 3601, 3277, 547, 513, 2999, 17641, 285, 9008, 1670, 9572, 17641, 285, 3846, 673, 1062, 18159, 311, 267, 307, 29408, 1247, 1866, 3277, 547, 513, 2999, 17641, 285, 1889, 5501, 25535, 6326, 9572, 17641, 285, 3846, 673, 1062, 18159, 311, 267, 307, 12101, 14153, 30879, 4935, 972, 616, 1079, 1114, 5036, 540, 8847, 269, 2913, 803, 3801, 513, 17250, 693, 930, 540, 519, 3347, 1369, 1142, 1305, 27135, 335, 285, 2999, 335, 285, 5575, 15475, 596, 723, 513, 30490, 3846, 673, 1062, 18159, 311, 267, 307, 30879, 3973, 2185, 540, 519, 1883, 3601, 616, 30490, 1098, 6638, 267, 30490, 11544, 267, 6922, 1275, 267, 543, 2189, 23908, 21288, 640, 269, 634, 1101, 1614, 616, 1644, 676, 9572, 335, 285, 2999, 592, 285, 2999, 2993, 285, 9008, 10999, 11544, 4399, 23976, 259, 1283, 10999, 1098, 1438, 282, 9572, 2993, 285, 2999, 2993, 285, 2381, 2711, 4399, 23976, 259, 1283, 10999, 1098, 1438, 27135, 2993, 285, 21742, 592, 285, 2999, 335, 285, 4462, 1664, 23908, 21288, 640, 568, 4830, 540, 1346, 1614, 3601, 269, 634, 4605, 568, 519, 1739, 269, 21742, 335, 285, 2999, 335, 12481, 19112, 521, 21683, 6889, 10674, 2517, 4178, 269, 4118, 269, 7795, 12975, 270, 349, 743, 11948, 3873, 9706, 923, 270, 9008, 1670, 3491, 704, 2906, 26666, 257, 5621, 6889, 9824, 725, 4721, 1063, 30490, 3601, 257, 20565, 335, 285, 2999, 335, 285, 15575, 699, 343, 3263, 2999, 17641, 285, 272, 268, 280, 9572, 17641, 285, 20515, 519, 7453, 2270, 906, 616, 607, 5205, 269, 2999, 655, 285, 263, 4322, 949, 711, 581, 519, 14724, 610, 519, 9998, 1293, 699, 343, 3263, 538, 1142, 2013, 267, 543, 594, 10950, 28303, 610, 9283, 269, 901, 568, 1759, 593, 930, 2656, 979, 690, 1782, 585, 1919, 711, 2907, 538, 1250, 3965, 267, 7132, 519, 5363, 23937, 6035, 676, 6085, 619, 4700, 9572, 655, 20565, 335, 285, 2999, 335, 12481, 17641, 285, 272, 27135, 17641, 285, 1269, 311, 815, 1422, 306, 7950, 318, 273, 1422, 9392, 1422, 346, 320, 14720, 315, 20954, 519, 1463, 1587, 540, 513, 2407, 1079, 6879, 3424, 609, 513, 1974, 26690, 10739, 267, 1141, 519, 6384, 568, 4399, 18406, 24585, 590, 8961, 609, 4399, 18406, 259, 519, 6521, 4786, 543, 1269, 306, 259, 519, 4786, 954, 577, 4474, 1269, 320, 259, 543, 1269, 321, 10608, 9572, 335, 285, 2999, 335, 12481, 17641, 285, 273, 27135, 17641, 285, 1269, 311, 7807, 306, 7950, 318, 273, 10608, 9572, 335, 285, 2999, 335, 12481, 17641, 285, 274, 27135, 17641, 285, 20472, 539, 676, 30464, 600, 674, 599, 611, 267, 2999, 320, 27430, 6889, 10674, 2517, 4178, 4732, 1440, 5424, 15062, 2593, 270, 20880, 8276, 336, 279, 3451, 6872, 277, 23417, 2568, 279, 4037, 270, 257, 882, 6889, 333, 1993, 4772, 22969, 12749, 10999, 11544, 543, 8766, 855, 711, 23908, 21288, 267, 25107, 7004, 593, 4399, 13992, 346, 307, 11892, 276, 259, 9572, 320, 285, 267, 476, 1220, 271, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 275, 27135, 17641, 285, 20472, 539, 676, 674, 584, 22978, 6199, 267, 2999, 320, 27430, 6889, 10674, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 26801, 29579, 280, 257, 882, 6889, 333, 1993, 4772, 22969, 1805, 2774, 23908, 21288, 640, 543, 7004, 540, 519, 8731, 639, 9572, 320, 285, 267, 476, 3422, 272, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 276, 27135, 17641, 285, 1323, 19450, 2095, 593, 519, 8731, 639, 267, 30281, 1524, 2282, 513, 2582, 1448, 281, 1294, 519, 6085, 2630, 676, 1656, 637, 31704, 2100, 1188, 328, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 277, 27135, 17641, 285, 1306, 27950, 24261, 2798, 856, 538, 519, 8292, 267, 519, 3961, 4786, 593, 513, 2582, 2023, 1305, 1568, 1934, 269, 589, 1447, 24735, 1383, 729, 2016, 676, 20913, 22642, 523, 267, 2999, 320, 27430, 6889, 10674, 2517, 4178, 269, 4461, 3820, 10768, 712, 11594, 14121, 3757, 270, 3192, 271, 268, 16825, 268, 6349, 13478, 1822, 273, 268, 4200, 275, 278, 268, 3192, 271, 268, 28276, 280, 6434, 275, 268, 279, 10774, 727, 11258, 257, 882, 6889, 333, 1993, 4772, 22969, 288, 1283, 10999, 9244, 11544, 12572, 8766, 1305, 9572, 320, 285, 267, 476, 3192, 271, 269, 21742, 335, 285, 2999, 335, 12481, 17641, 285, 278, 27135, 17641, 285, 15585, 566, 540, 519, 5858, 676, 606, 19450, 5086, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 279, 27135, 17641, 285, 6034, 1587, 540, 519, 1383, 689, 2999, 17641, 285, 276, 9572, 17641, 285, 609, 513, 13350, 10739, 269, 630, 26139, 607, 6700, 676, 1656, 637, 538, 519, 8292, 4700, 9572, 335, 285, 2999, 335, 12481, 17641, 285, 280, 27135, 17641, 285, 3345, 1606, 1926, 4786, 281, 513, 4786, 1269, 307, 315, 3712, 517, 1496, 271, 267, 272, 316, 315, 1729, 1496, 271, 267, 272, 316, 259, 609, 6378, 2798, 693, 1269, 271, 267, 272, 259, 543, 971, 602, 1269, 307, 3287, 264, 1299, 2741, 282, 1535, 259, 585, 782, 1269, 343, 22174, 630, 271, 267, 272, 30879, 10576, 519, 1439, 9557, 1269, 271, 259, 543, 1269, 272, 259, 865, 602, 713, 568, 513, 19918, 23908, 21288, 5858, 4786, 27135, 335, 285, 2999, 335, 285, 288, 7008, 1919, 616, 4440, 4502, 15738, 856, 27135, 335, 285, 2999, 592, 285, 2999, 2993, 285, 28350, 11659, 568, 711, 2141, 7833, 269, 1280, 1383, 835, 540, 519, 4574, 594, 26518, 630, 296, 1589, 22642, 523, 781, 264, 3096, 834, 1120, 21288, 257, 538, 1747, 540, 834, 9008, 10999, 1098, 1438, 2580, 547, 5031, 519, 21658, 609, 519, 2268, 25535, 6326, 2013, 269, 1924, 1004, 949, 3006, 946, 1114, 1913, 585, 519, 1482, 3364, 27135, 2993, 285, 2999, 2993, 285, 3519, 14287, 519, 1482, 2262, 949, 1611, 1114, 1919, 269, 1703, 616, 1079, 8847, 540, 30490, 1098, 6638, 267, 835, 5473, 1930, 5036, 18121, 325, 18898, 263, 308, 264, 1422, 5115, 966, 1422, 928, 336, 1422, 3319, 903, 564, 259, 585, 930, 1804, 1269, 333, 259, 264, 543, 519, 824, 5473, 6228, 540, 513, 10053, 10739, 269, 634, 4214, 5473, 1930, 5036, 811, 5702, 19141, 519, 4214, 540, 30490, 11544, 630, 12061, 268, 24105, 10167, 585, 2999, 17641, 285, 22336, 9572, 17641, 285, 1804, 1269, 333, 259, 1070, 1247, 519, 4214, 609, 513, 10053, 10739, 811, 5702, 19141, 6922, 1275, 630, 323, 839, 8864, 540, 2999, 17641, 285, 22336, 9572, 17641, 285, 10739, 1040, 634, 8847, 616, 6697, 952, 1269, 311, 259, 568, 3021, 762, 267, 2034, 7121, 267, 543, 814, 1100, 9678, 2798, 27135, 2993, 285, 21742, 592, 285, 2999, 335, 285, 5472, 540, 519, 1657, 568, 585, 30490, 3846, 673, 1949, 267, 1141, 1100, 23223, 656, 2268, 568, 9138, 269, 3973, 972, 616, 519, 23908, 21288, 3601, 281, 1346, 602, 4096, 593, 513, 1062, 8497, 606, 2268, 4399, 14153, 10608, 1280, 891, 835, 814, 519, 23908, 21288, 15796, 27135, 335, 285, 2999, 335, 12481, 19112, 521, 21683, 6889, 10674, 2517, 4178, 269, 4118, 269, 7795, 12975, 270, 349, 743, 11948, 3873, 9706, 923, 270, 1120, 21288, 3491, 704, 2906, 26666, 257, 5621, 6889, 11293, 326, 21288, 15796, 257, 20565, 335, 285, 2999, 335, 285, 2005, 568, 1360, 1419, 519, 2013, 602, 835, 16858, 547, 1353, 513, 30490, 3846, 673, 1062, 607, 513, 2268, 25535, 6326, 1062, 676, 30015, 621, 609, 606, 23223, 656, 2268, 267, 543, 538, 713, 2013, 621, 568, 3833, 10257, 547, 2307, 827, 519, 3347, 1063, 519, 1079, 1114, 5049, 540, 3601, 269, 1809, 713, 5673, 593, 799, 23223, 656, 2268, 596, 3442, 267, 1317, 538, 2489, 2999, 320, 27430, 6889, 10674, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 279, 4375, 10037, 270, 8588, 1145, 6361, 1606, 10628, 6361, 268, 1120, 21288, 24578, 9778, 257, 882, 6889, 333, 1993, 4772, 22969, 11004, 949, 581, 1360, 1082, 540, 873, 9572, 320, 20101, 2290, 949, 2307, 1018, 3601, 540, 18159, 311, 267, 307, 7751, 1577, 596, 4584, 23223, 656, 3800, 4399, 14153, 259, 609, 1978, 8799, 3601, 267, 543, 713, 568, 513, 2898, 1114, 1650, 799, 1131, 4228, 713, 2626, 2484, 3564, 519, 23451, 540, 16885, 1214, 27135, 335, 285, 5291, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 14625, 6344, 270, 11666, 6681, 15304, 3772, 268, 1120, 21288, 7308, 648, 332, 270, 14625, 12553, 258, 14625, 12553, 8382, 676, 966, 2795, 333, 1849, 11948, 327, 15676, 585, 23120, 1448, 3772, 23908, 21288, 11532, 286, 966, 2795, 333, 1849, 11948, 327, 15676, 476, 1001, 273, 268, 1556, 268, 2420, 307, 4905, 281, 6795, 281, 3374, 313, 476, 1001, 273, 268, 1556, 268, 2420, 307, 4905, 281, 6795, 281, 3374, 313, 2999, 335, 285, 763, 2626, 547, 1312, 2055, 568, 1412, 7224, 3299, 1312, 585, 7851, 543, 585, 8928, 27135, 335, 285, 2999, 335, 285, 2690, 598, 920, 28467, 1577, 2999, 13892, 285, 259, 300, 7807, 346, 271, 267, 272, 315, 11892, 315, 13992, 346, 313, 4151, 9572, 13892, 285, 581, 519, 1305, 540, 1979, 19899, 9548, 9696, 540, 1269, 271, 259, 338, 543, 1269, 272, 259, 338, 267, 543, 1577, 4399, 4942, 328, 315, 3712, 517, 631, 29540, 631, 259, 581, 519, 6521, 4786, 2016, 676, 2999, 13892, 285, 7445, 4942, 328, 3287, 264, 318, 329, 815, 1535, 3709, 329, 266, 272, 4151, 9572, 13892, 285, 585, 2999, 13892, 285, 259, 343, 14352, 343, 19553, 264, 3709, 329, 22174, 315, 13992, 346, 313, 22288, 9572, 13892, 20101, 9572, 335, 285, 2999, 335, 285, 304, 272, 269, 5440, 1670, 1098, 6638, 540, 4399, 4942, 328, 259, 1152, 5673, 593, 4399, 4942, 328, 259, 543, 1269, 300, 8961, 711, 593, 519, 2268, 4399, 14153, 10608, 769, 1880, 519, 1062, 18159, 300, 12101, 4942, 328, 7751, 3989, 1657, 568, 1283, 10999, 1098, 1438, 267, 855, 972, 616, 1082, 630, 28236, 14386, 2834, 645, 648, 331, 5506, 3800, 602, 616, 12873, 676, 4399, 4942, 328, 8961, 543, 711, 782, 540, 873, 616, 23908, 21288, 269, 6423, 2999, 320, 27430, 6889, 10674, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 279, 4375, 10037, 270, 8588, 1145, 6361, 1606, 10628, 6361, 268, 1120, 21288, 24578, 9778, 257, 882, 6889, 333, 1993, 4772, 22969, 10472, 2243, 9572, 320, 285, 585, 930, 4901, 540, 875, 6946, 713, 2230, 568, 269, 769, 1880, 267, 1577, 1269, 335, 259, 543, 1269, 336, 259, 581, 6378, 2798, 585, 4399, 4942, 328, 8961, 543, 1577, 4399, 14153, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8307, 5601, 666, 4688, 9358, 1631, 1848, 594, 1767, 267, 543, 646, 1332, 1194, 693, 803, 269, 3973, 594, 15422, 519, 8988, 3444, 1472, 1250, 8405, 269, 594, 678, 5792, 621, 1055, 543, 4371, 621, 547, 1010, 3068, 269, 3973, 646, 3458, 3139, 538, 1928, 607, 646, 9927, 883, 513, 1480, 269, 594, 1793, 14414, 1250, 18156, 543, 7166, 1864, 14678, 269, 594, 1572, 661, 31343, 517, 2135, 1055, 540, 1864, 269, 3973, 609, 513, 12837, 593, 1250, 3068, 267, 594, 13603, 909, 1010, 1560, 543, 12628, 621, 883, 519, 23419, 563, 3412, 15673, 539, 547, 4945, 593, 5769, 5182, 855, 621, 1522, 1205, 803, 1055, 519, 5769 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2298, 1256, 609, 2834, 5957, 563, 268, 4053, 4802, 281, 2755, 1447, 4122, 1031, 585, 7802, 267, 1660, 4802, 5958, 3091, 513, 2189, 9029, 538, 713, 6389, 269, 4706, 2571, 543, 9543, 9403, 2306, 621, 513, 15028, 3903, 585, 4816, 7802, 543, 17426, 4832, 30933, 269, 1717, 267, 519, 10690, 15827, 1522, 1118, 621, 1447, 5078, 585, 11295, 610, 8185, 1031, 7802, 3688, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 17234, 2709, 7362, 1464, 267, 3850, 2011, 547, 32694, 998, 519, 5958, 269, 2755, 711, 607, 2011, 344, 607, 1660, 4802, 267, 829, 7051, 1869, 2488, 4313, 676, 7303, 519, 13250, 540, 3002, 543, 7509, 269, 901, 7362, 1464, 568, 1898, 585, 4509, 4313, 267, 2523, 1282, 15911, 12405, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 12021, 585, 922, 11108, 7362, 1464, 269, 634, 10690, 15827, 540, 1660, 4802, 2636, 2011, 547, 2095, 11884, 998, 519, 5958, 267, 1818, 621, 606, 4998, 3903, 585, 3636, 16374, 543, 17426, 3156, 269, 4053, 4802, 779, 7362, 1464, 8309, 547, 513, 6899, 543, 16990, 1995, 585, 519, 649, 13145, 563, 268, 29158, 623, 2075, 1446, 281, 634, 7362, 1464, 540, 829, 7051, 5958, 8309, 547, 513, 9023, 1198, 267, 3226, 538, 15911, 4365, 269, 634, 5958, 779, 2702, 547, 1450, 3002, 547, 26632, 622, 5849, 602, 2043, 2611, 6899, 543, 17570, 6954, 1256, 538, 28555, 2175, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 3217, 3579, 1145, 547, 519, 1985, 1377, 269, 4706, 1930, 15827, 2636, 585, 6099, 14910, 267, 5356, 513, 9023, 14815, 602, 568, 3226, 14909, 538, 3905, 543, 18519, 16374, 269, 4053, 4802, 779, 3579, 1145, 2306, 621, 513, 8179, 8584, 1123, 3903, 585, 4832, 7802, 543, 17426, 28945, 563, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 568, 12021, 585, 922, 29413, 1745, 269, 634, 17401, 18955, 16060, 1711, 513, 5347, 543, 26546, 9403, 602, 608, 26360, 30483, 269, 634, 5958, 779, 1319, 974, 9096, 543, 11029, 1352, 523, 3565, 547, 922, 1164, 15134, 5920, 267, 1818, 621, 606, 10694, 3903, 585, 28945, 543, 7802, 563, 268, 4053, 4802, 281, 2755, 1660, 4802, 5958, 1522, 3668, 519, 15568, 9403, 540, 829, 7051, 267, 621, 3091, 513, 1114, 1826, 540, 17195, 269, 4053, 4802, 779, 2067, 267, 10002, 565, 1639, 5920, 2488, 513, 17159, 543, 6899, 1745, 602, 930, 2043, 1265, 8449, 13267, 269, 4706, 16134, 543, 2571, 1145, 18427, 513, 2631, 540, 896, 26061, 17195, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 568, 1447, 4122, 1031, 585, 4816, 3688, 1813, 547, 922, 16437, 518, 9403, 269, 2755, 621, 1522, 711, 581, 519, 1283, 3903, 585, 4816, 7802, 543, 17960, 267, 829, 7051, 666, 1869, 1265, 922, 1747, 538, 28945, 3688, 899, 524, 1026, 9212, 267, 5356, 15006, 543, 2571, 1145, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 31438, 538, 519, 7706, 540, 4816, 3688, 269, 4706, 2571, 1145, 267, 7362, 1464, 267, 543, 9543, 5905, 1118, 621, 606, 5140, 3903, 585, 4816, 29198, 267, 2220, 18150, 12308, 338, 267, 543, 7802, 269, 4053, 4802, 779, 2702, 547, 10038, 2837, 5849, 602, 9002, 3251, 6899, 267, 1818, 621, 513, 20013, 538, 5740, 7685, 563, 268, 29158, 623, 2075, 1446, 281, 2755, 711, 607, 4122, 1031, 585, 13167, 267, 829, 7051, 5958, 666, 1869, 1265, 922, 1747, 538, 1978, 3785, 269, 4706, 9395, 15827, 543, 15006, 1118, 621, 5078, 585, 2870, 3688, 602, 2154, 2497, 543, 15325, 269, 1717, 267, 519, 16437, 8864, 540, 829, 7051, 1522, 3970, 922, 8112, 538, 1978, 4739, 3156, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 513, 23163, 3903, 585, 13167, 1813, 547, 922, 17426, 543, 11684, 2470, 269, 4706, 10690, 15827, 561, 1742, 3294, 1134, 547, 3785, 602, 2154, 546, 1905, 532, 267, 971, 607, 1225, 13935, 267, 546, 1905, 525, 267, 543, 3349, 743, 16251, 269, 4053, 4802, 779, 2571, 9403, 849, 2306, 621, 5078, 585, 22927, 3785, 602, 4225, 4313, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 568, 3622, 1447, 12001, 1813, 547, 922, 10053, 15827, 269, 901, 1566, 13369, 2306, 621, 5078, 585, 3688, 602, 2154, 513, 4110, 540, 7834, 267, 971, 607, 1225, 13935, 543, 6885, 3382, 902, 269, 634, 9395, 15827, 849, 8309, 547, 513, 23704, 5920, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 814, 513, 5594, 22406, 2298, 1813, 547, 922, 10690, 15827, 269, 2755, 713, 1522, 3970, 922, 946, 538, 1978, 3156, 267, 621, 666, 1039, 606, 552, 1492, 9418, 543, 10347, 5905, 547, 13167, 3785, 899, 17426, 1225, 13935, 610, 23157, 602, 1289, 585, 513, 811, 6037, 1075, 550, 1413, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 11148, 547, 581, 18219, 1813, 547, 922, 5702, 18955, 16060, 269, 901, 2597, 666, 22937, 513, 2631, 540, 6219, 543, 15006, 547, 18705, 3688, 267, 1818, 621, 5078, 585, 3785, 602, 2154, 18569, 1465, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 16113, 14402, 538, 2597, 1813, 547, 922, 10690, 15827, 269, 901, 17426, 2298, 2306, 621, 1134, 25252, 1243, 585, 3785, 602, 3747, 513, 10347, 5905, 610, 2154, 3688, 547, 581, 3362, 3560, 762, 267, 971, 607, 17426, 1753, 7718, 610, 17960, 563, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 5958, 3091, 513, 1319, 974, 9096, 609, 513, 11029, 1352, 523, 269, 901, 8984, 8309, 547, 513, 15568, 543, 10427, 5920, 267, 1818, 621, 606, 5140, 3903, 585, 3785, 602, 3343, 606, 896, 26061, 25894, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 849, 2488, 513, 1319, 974, 9096, 267, 855, 922, 5920, 568, 811, 2067, 543, 10002, 565, 1639, 269, 901, 561, 1742, 513, 17159, 543, 3839, 12716, 547, 18705, 3688, 267, 1818, 621, 5078, 585, 3785, 602, 4225, 513, 9788, 25746, 19259, 563, 17806, 675, 3683, 5384, 454, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 779, 9403, 11148, 547, 21352, 543, 1831, 1256, 811, 6899, 609, 942, 543, 946, 269, 901, 666, 3986, 519, 2949, 4313, 540, 18705, 3688, 971, 607, 28945, 543, 7802, 267, 4180, 602, 789, 1831, 1256, 811, 11791, 936, 519, 1296, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 15387, 922, 2571, 1145, 936, 942, 855, 949, 5957, 856, 5488, 1813, 547, 922, 3138, 29141, 15827, 269, 2755, 519, 9403, 1522, 711, 1689, 13497, 609, 946, 267, 519, 5958, 779, 7362, 1464, 543, 4313, 2611, 5812, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 20502, 17545, 538, 922, 2702, 547, 9290, 1585, 3156, 269, 4706, 10053, 15827, 543, 15006, 1118, 621, 22537, 585, 1312, 28945, 543, 7802, 269, 634, 5958, 779, 5347, 9403, 543, 15568, 5920, 849, 1118, 621, 4998, 585, 3785, 602, 2154, 513, 5905, 540, 30483, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 11684, 538, 922, 1378, 1318, 267, 4597, 532, 538, 17426, 3156, 543, 3636, 16374, 269, 4706, 10690, 15827, 543, 7362, 762, 2470, 1118, 621, 5078, 585, 4816, 3688, 267, 4832, 7802, 267, 543, 13167, 3785, 602, 4225, 4313, 543, 7362, 1464, 563, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 17234, 1419, 2097, 693, 513, 2362, 1942, 1813, 547, 741, 512, 7660, 15827, 543, 3622, 2362, 8142, 1293, 269, 634, 3773, 15006, 543, 29413, 1745, 3565, 547, 519, 11506, 3902, 1448, 267, 1818, 829, 7051, 513, 3903, 585, 1346, 8348, 547, 1902, 538, 2298, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 3622, 811, 10097, 1813, 547, 922, 16134, 543, 2539, 8142, 1293, 269, 901, 2306, 621, 606, 3015, 3903, 585, 1585, 3785, 267, 2523, 585, 1346, 5275, 1942, 15807, 3681, 1510, 18731, 593, 7362, 1464, 543, 4313, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 568, 1447, 4122, 1031, 607, 513, 20457, 538, 10344, 543, 14364, 269, 4706, 5347, 9403, 543, 1319, 974, 9096, 1522, 711, 1683, 519, 5551, 3308, 20457, 1198, 267, 12145, 922, 3498, 538, 713, 1808, 6389, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 23163, 585, 20457, 946, 1813, 547, 922, 9243, 2681, 543, 9403, 269, 634, 5594, 22406, 5920, 543, 17426, 2470, 540, 1660, 4802, 1118, 621, 5078, 585, 2870, 11684, 1394, 323, 28979, 602, 666, 3986, 519, 2949, 5605, 4800, 540, 513, 6429, 610, 4259, 563, 8624, 832, 543, 2398, 6493, 454, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 779, 9395, 15827, 2636, 585, 513, 2647, 2039, 540, 4778, 543, 6946, 16493, 269, 634, 5958, 6585, 4778, 1134, 543, 2488, 513, 26546, 17198, 585, 7524, 543, 2143, 6272, 267, 1818, 621, 513, 1390, 3903, 585, 4806, 539, 28945, 543, 7802, 563, 268, 4053, 4802, 281, 4053, 4802, 779, 10690, 15827, 666, 3970, 519, 15287, 543, 8325, 1145, 540, 6946, 16493, 269, 1717, 267, 922, 2067, 267, 10002, 565, 1639, 9403, 561, 1742, 3294, 1134, 547, 811, 5214, 267, 11029, 3270, 543, 20004, 2553, 269, 4053, 4802, 779, 9403, 8591, 3178, 547, 12863, 6272, 543, 3947, 513, 15309, 545, 19259, 547, 519, 8737, 1587, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 949, 2154, 811, 5826, 547, 1832, 922, 26546, 5920, 269, 898, 568, 12155, 547, 23743, 1782, 267, 543, 1247, 930, 4782, 922, 5594, 15555, 9482, 1413, 267, 1866, 949, 3442, 547, 4401, 610, 9252, 621, 585, 513, 5347, 9096, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 1447, 2693, 547, 23743, 548, 1813, 547, 922, 10690, 15827, 543, 17426, 2470, 269, 898, 779, 1634, 585, 922, 13680, 267, 17159, 5920, 267, 543, 922, 4187, 547, 32060, 2306, 621, 513, 4052, 3903, 585, 3785, 602, 3747, 1447, 909, 18141, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 267, 609, 922, 9395, 15827, 267, 568, 1447, 2693, 547, 2014, 13027, 6547, 269, 634, 5702, 18955, 16060, 2061, 519, 13250, 540, 7452, 21746, 543, 824, 23480, 267, 1818, 621, 513, 5078, 3903, 585, 2043, 609, 22740, 8481, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 3622, 2922, 585, 6213, 2960, 543, 1447, 2693, 547, 2014, 13027, 6547, 269, 901, 2306, 621, 513, 9053, 3903, 585, 4816, 3688, 267, 1519, 2220, 18150, 12308, 338, 543, 29198, 267, 607, 1134, 607, 585, 1346, 945, 723, 11959, 610, 22740, 8481, 563, 290, 9051, 623, 2075, 1446, 25966, 4053, 4802, 281, 18948, 7305, 454, 347, 2171, 1511, 1475, 291, 1619, 267, 5702, 18955, 609, 513, 5347, 543, 26546, 9403, 13954, 23409, 7076, 267, 10690, 15827, 609, 513, 2571, 543, 7362, 762, 1745, 8198, 347, 17806, 675, 1475, 10712, 26743, 543, 29413, 13954, 25413, 543, 5594, 22406, 8198, 347, 1320, 1348, 4032, 1475, 23744, 814, 513, 2362, 8142, 1293, 267, 7700, 547, 15006, 543, 2571, 1145, 13954, 1320, 1348, 1293, 949, 4268, 267, 1419, 2539, 982, 829, 7051, 8198, 25238, 13701, 1475, 5415, 14463, 543, 11259, 547, 5957, 543, 15237, 13954, 27832, 14463, 1813, 547, 519, 3138, 29141, 15827, 8198, 347, 8196, 538, 16170, 3429, 1475, 28082, 3903, 585, 9212, 543, 10788, 578, 322, 1162, 13954, 27832, 1455, 585, 2757, 28945, 267, 855, 1031, 538, 4816, 3688, 8198, 347, 5141, 5847, 1475, 5825, 539, 585, 17426, 4832, 7802, 899, 32293, 543, 695, 16630, 13954, 27832, 4122, 1031, 585, 7802, 8198, 21270, 805, 327, 1464, 1475, 289, 805, 327, 762, 267, 855, 711, 607, 2011, 344, 607, 1660, 4802, 13954, 11947, 569, 7362, 762, 267, 5078, 585, 3636, 16374, 8198, 18871, 944, 1145, 1475, 17809, 1938, 513, 9023, 14815, 267, 2523, 538, 3636, 4365, 13954, 11390, 10134, 519, 649, 13145, 3579, 1813, 547, 922, 1930, 15827, 8198, 30054, 5060, 1722, 18461, 1475, 15447, 333, 585, 922, 29413, 543, 5347, 9403, 13954, 19423, 619, 513, 811, 2067, 543, 17159, 1745, 8198, 21270, 17879, 27294, 1475, 27832, 1455, 585, 4816, 3688, 1813, 547, 922, 16437, 518, 9403, 13954, 28082, 3903, 585, 4816, 29198, 543, 2220, 18150, 12308, 338, 8198, 18871, 2761, 532, 1475, 8253, 4122, 1031, 585, 17426, 13492, 13954, 27269, 1031, 538, 13167, 17426, 1753, 7718, 8198, 347, 28926, 13369, 1475, 23744, 32630, 1813, 547, 519, 9395, 15827, 13954, 306, 2775, 569, 22406, 1813, 547, 519, 10690, 15827, 8198, 347, 26574, 1475, 3891, 32667, 1813, 547, 519, 16437, 518, 15827, 13954, 299, 7660, 538, 2597, 1813, 547, 922, 10690, 15827, 8198, 347, 12385, 974, 5685, 880, 1475, 19423, 619, 513, 1319, 974, 9096, 609, 513, 11029, 1352, 523, 13954, 31549, 513, 811, 2067, 267, 10002, 565, 1639, 5920, 8198, 347, 17806, 675, 3683, 5384, 1475, 25413, 839, 543, 3587, 1256, 811, 6899, 609, 946, 13954, 14611, 13935, 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 ]
[ 268, 834, 20288, 591, 2549, 828, 2668, 2817, 19964, 540, 5245, 269, 5437, 476, 278, 267, 476, 1001, 274, 269, 8158, 2904, 476, 2641, 267, 476, 1001, 278, 563, 268, 5240, 15553, 267, 645, 10165, 543, 22210, 539, 538, 1855, 327, 3757, 267, 5239, 476, 1960, 276, 267, 2985, 476, 4343, 563, 268, 10127, 565, 1938, 1696, 620, 1421, 6032, 269, 476, 6872, 1700, 10170, 454, 268, 834, 24465, 1533, 536, 753, 19413, 1433, 1310, 8039, 20726, 693, 14447, 2078, 2668, 634, 26851, 269, 5507, 269, 4728, 476, 1789, 267, 476, 1001, 272, 563, 268, 10127, 565, 1938, 1696, 620, 1421, 6032, 269, 476, 10170, 1700, 4281, 454, 268, 23105, 4964, 630, 20826, 476, 1015, 267, 476, 1220, 280, 1040, 834, 305, 17892, 2306, 717, 592, 698, 1686, 2668, 634, 11785, 31248, 269, 12590, 269, 8158, 5437, 476, 1691, 267, 476, 1220, 280, 563, 268, 8055, 267, 1196, 269, 7638, 640, 630, 1220, 271, 1040, 19270, 1047, 22605, 540, 5824, 1977, 3332, 269, 5507, 1496, 340, 18502, 269, 13912, 31351, 9799, 269, 533, 269, 476, 6434, 269, 9768, 476, 7818, 268, 272, 268, 6872, 280, 268, 6812, 273, 7367, 268, 275, 269, 5425, 272, 1292, 339, 281, 3063, 1257, 281, 4589, 1592, 630, 15062, 994, 268, 1488, 341, 785, 30730, 2725, 327, 8527, 571, 267, 589, 3778, 540, 4095, 9085, 538, 2296, 269, 595, 269, 15049, 560, 1299, 3213, 269, 23255, 267, 476, 1220, 274, 269, 9768, 476, 7818, 6977, 271, 4792, 6924, 272, 275, 630, 335, 269, 16928, 994, 268, 834, 20806, 1263, 539, 7734, 543, 7395, 16383, 5903, 257, 630, 14457, 1040, 15213, 547, 3367, 269, 5130, 476, 1001, 274, 269, 8158, 5130, 476, 279, 267, 476, 1001, 277, 563, 268, 3557, 781, 1101, 17049, 1433, 547, 581, 3370, 585, 1101, 942, 538, 476, 3199, 1296, 9721, 8648, 267, 476, 1001, 279, 268, 5400, 268, 1015, 563, 268, 681, 2378, 6130, 744, 322, 553, 1470, 267, 9085, 540, 5824, 3013, 267, 5682, 6229, 14539, 6828, 267, 476, 1220, 275, 269, 9768, 476, 31648, 28590, 9826, 273, 630, 335, 269, 15094, 1916, 268, 5291, 2517, 4178, 269, 1993, 331, 322, 10993, 28898, 270, 4178, 11305, 984, 11721, 785, 269, 985, 325, 7933, 5952, 274, 325, 275, 3066, 9536, 271, 4343, 2801, 272, 8619, 27038, 6795, 321, 1822, 28307, 278, 322, 270, 2004, 278, 2465, 278, 325, 17433, 10602, 322, 10170, 325, 8619, 27038, 6858, 272, 23669, 321, 272, 324, 4281, 256, 15411, 291, 17805, 269, 8158, 5412, 476, 866, 267, 476, 1220, 280, 269, 31932, 610, 8900, 454, 268, 19032, 5623, 8274, 269, 5623, 5870, 281, 5988, 476, 278, 267, 476, 1220, 278, 282, 17423, 5870, 281, 5988, 476, 2190, 267, 476, 1220, 278, 269, 8241, 6554, 454, 268, 2098, 7238, 2401, 267, 2098, 7238, 2401, 630, 1001, 279, 1040, 31123, 6737, 2913, 30786, 281, 476, 274, 23263, 533, 27591, 1496, 299, 984, 6737, 6183, 622, 476, 274, 23263, 1900, 316, 630, 514, 14082, 1040, 5696, 553, 6403, 20377, 281, 22105, 9461, 15503, 320, 269, 9768, 476, 7818, 279, 4649, 23283, 271, 3374, 277, 563, 268, 21546, 267, 9291, 282, 27211, 20717, 576, 22642, 630, 1220, 277, 1040, 1215, 331, 593, 4693, 281, 519, 6370, 585, 1863, 4082, 269, 5842, 12770, 281, 4975, 28691, 7734, 269, 6032, 269, 476, 273, 1700, 274, 269, 9768, 476, 7818, 268, 271, 268, 279, 7761, 10436, 268, 5325, 280, 268, 276, 563, 268, 834, 292, 761, 516, 534, 12080, 540, 6176, 267, 661, 761, 516, 534, 5240, 543, 12700, 2668, 476, 1001, 276, 269, 8158, 4989, 476, 280, 267, 476, 1001, 276, 563, 268, 23108, 1407, 267, 27211, 630, 19751, 476, 1691, 267, 476, 1001, 276, 1040, 834, 289, 534, 24850, 593, 1715, 10215, 1762, 2937, 3209, 883, 519, 5211, 2668, 634, 26851, 269, 8158, 5239, 476, 1428, 267, 476, 1001, 276, 563, 268, 3883, 593, 5771, 17049, 267, 2278, 781, 2777, 986, 3660, 538, 29180, 1107, 5900, 2931, 1923, 554, 8114, 329, 698, 337, 583, 328, 3820, 269, 5616, 2593, 269, 8158, 593, 476, 1001, 271, 268, 4962, 268, 6021, 563, 268, 595, 6020, 300, 2562, 3201, 6673, 12195, 2975, 9569, 12971, 269, 16318, 272, 5508, 476, 1220, 278, 21444, 4989, 476, 1789, 267, 476, 1001, 274, 267, 693, 519, 10158, 3724, 10724, 269, 634, 4400, 7040, 540, 7225, 545, 1155, 693, 25512, 599, 454, 268, 19811, 267, 19162, 630, 20826, 476, 2537, 267, 476, 1220, 280, 1040, 834, 22492, 4229, 17199, 781, 1433, 3123, 7088, 538, 16862, 2668, 5507, 281, 1855, 25393, 16691, 16896, 269, 8158, 5181, 476, 2190, 267, 476, 1220, 280, 563, 268, 834, 19328, 1533, 536, 753, 1433, 593, 808, 4883, 1695, 2668, 18917, 269, 4864, 476, 736, 267, 476, 1220, 280, 269, 8158, 4864, 476, 736, 267, 476, 1220, 280, 563, 268, 808, 553, 342, 656, 781, 1433, 10301, 8637, 538, 30899, 520, 1310, 5480, 1931, 269, 715, 19049, 341, 2593, 269, 8158, 593, 476, 1001, 271, 268, 4962, 268, 6021, 563, 268, 834, 310, 565, 13630, 781, 808, 4883, 1695, 2668, 9031, 9332, 269, 5181, 476, 1556, 267, 476, 1220, 278, 269, 8158, 4864, 476, 2420, 267, 476, 1220, 280, 563, 268, 834, 301, 611, 710, 717, 867, 25534, 2668, 3162, 3979, 3778, 6732, 269, 8158, 5437, 476, 1626, 267, 476, 1220, 280, 563, 268, 3162, 3979, 6554, 6732, 630, 19688, 476, 866, 267, 476, 1220, 272, 1040, 834, 2026, 7356, 8292, 593, 717, 2246, 1263, 1319, 878, 1637, 1305, 1568, 2668, 4325, 16696, 543, 32276, 269, 12080, 540, 4065, 269, 21444, 689, 519, 3312, 593, 4873, 476, 3066, 267, 476, 1001, 272, 269, 8158, 5437, 476, 1626, 267, 476, 1220, 280, 563, 268, 645, 10165, 7734, 476, 1001, 272, 21444, 5437, 476, 274, 267, 476, 1001, 272, 267, 693, 519, 10158, 3724, 10724, 269, 17049, 268, 9248, 3820, 16896, 454, 268, 2782, 4459, 5025, 2716, 6387, 267, 6276, 630, 21938, 476, 277, 267, 476, 1220, 277, 1040, 17289, 645, 1513, 1133, 643, 269, 19534, 269, 23171, 11545, 5240, 563, 268, 7581, 1633, 267, 3627, 282, 3816, 8663, 267, 8176, 282, 16019, 267, 8361, 630, 2735, 277, 1040, 634, 7736, 540, 9866, 322, 523, 640, 281, 634, 2558, 10118, 540, 15248, 932, 2660, 2917, 267, 570, 22241, 540, 9435, 543, 674, 15967, 10830, 269, 5842, 12770, 281, 22489, 1299, 18007, 269, 533, 269, 476, 276, 2764, 269, 9768, 476, 271, 268, 6187, 268, 6021, 278, 6187, 272, 268, 279, 563, 268, 962, 328, 25590, 630, 18907, 476, 1960, 273, 1040, 834, 8530, 7667, 538, 3624, 538, 519, 5403, 5336, 7776, 16527, 2668, 20588, 267, 4993, 267, 7330, 281, 7489, 11752, 269, 8158, 5181, 476, 1789, 267, 476, 1001, 276, 563, 268, 16273, 1530, 4060, 27752, 267, 932, 1173, 532, 2701, 6184, 6699, 5771, 1715, 3840, 8648, 267, 4873, 476, 279, 267, 476, 1960, 275, 563, 268, 3883, 5623, 1715, 3840, 8648, 267, 4864, 476, 2764, 267, 476, 1960, 275, 563, 268, 30277, 267, 21919, 531, 630, 20606, 476, 1724, 267, 476, 1960, 280, 1040, 834, 289, 836, 14994, 536, 753, 1007, 26800, 3916, 320, 1433, 2668, 18917, 5240, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 289, 836, 14994, 536, 753, 3791, 26800, 3916, 320, 1433, 2668, 18917, 5240, 269, 4864, 476, 2767, 267, 476, 1220, 273, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 289, 1263, 531, 536, 753, 26800, 3916, 320, 781, 1433, 2668, 634, 9699, 269, 16441, 333, 2967, 267, 3127, 269, 5437, 476, 2764, 267, 476, 1220, 274, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 26056, 267, 1323, 7534, 630, 21938, 476, 1240, 267, 476, 1220, 275, 1040, 834, 26156, 19377, 6554, 1028, 9229, 585, 7333, 940, 26800, 3916, 320, 781, 1433, 2668, 634, 9699, 269, 16441, 333, 2967, 267, 3127, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 667, 9618, 267, 2672, 2809, 630, 1220, 276, 1040, 834, 6635, 1206, 28315, 270, 20486, 281, 590, 5902, 1635, 19382, 1235, 543, 27684, 18267, 2668, 3955, 4964, 6796, 269, 21444, 689, 519, 3312, 593, 2904, 476, 1839, 267, 476, 1220, 279, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 290, 22620, 3076, 1206, 7333, 593, 715, 553, 2240, 781, 1433, 538, 19377, 2668, 4414, 858, 2593, 269, 5181, 476, 2537, 267, 476, 1220, 276, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 2750, 6150, 26800, 3916, 320, 715, 553, 12541, 547, 2132, 547, 16273, 2668, 4095, 12356, 269, 5147, 476, 1626, 267, 476, 1220, 278, 269, 21444, 689, 519, 3312, 593, 2904, 476, 275, 267, 476, 1001, 273, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 6124, 1433, 17049, 693, 581, 4554, 540, 9099, 2462, 1824, 281, 26800, 3916, 320, 2668, 4964, 11565, 540, 3127, 269, 5988, 476, 736, 267, 476, 1220, 275, 269, 21444, 689, 519, 3312, 593, 5412, 476, 274, 267, 476, 1220, 279, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 289, 10165, 7734, 2668, 562, 6155, 269, 8158, 5181, 476, 277, 267, 476, 1220, 279, 563, 268, 834, 289, 10165, 7734, 2668, 5384, 269, 5181, 476, 3066, 267, 476, 1220, 279, 269, 8158, 2904, 476, 279, 267, 476, 1001, 271, 563, 268, 3703, 12052, 7732, 5948, 25827, 15213, 9730, 630, 19751, 476, 280, 267, 476, 1220, 280, 1040, 834, 290, 839, 11208, 538, 3703, 12052, 281, 589, 3778, 269, 476, 4198, 271, 1700, 4198, 280, 2668, 26551, 267, 7460, 267, 4516, 281, 3703, 12052, 7732, 5948, 269, 8158, 5437, 476, 1015, 267, 476, 1001, 272, 563, 268, 5754, 2006, 267, 26304, 28089, 269, 834, 7072, 2437, 3807, 606, 18103, 2435, 4303, 269, 645, 656, 600, 267, 476, 1960, 276, 563, 268, 918, 2355, 14988, 529, 267, 10127, 514, 269, 834, 31357, 308, 7548, 781, 3209, 17049, 538, 1627, 20345, 2437, 29430, 8648, 5937, 7371, 2255, 267, 4728, 476, 1691, 267, 476, 1001, 275, 563, 268, 19395, 267, 808, 269, 1290, 545, 23397, 645, 10165, 267, 13323, 5240, 5988, 476, 1321, 267, 476, 1001, 275, 454, 268, 476, 2918, 5130, 476, 1001, 278, 267, 590, 14373, 2228, 267, 5291, 2517, 4178, 4732, 14373, 327, 4115, 2593, 269, 3240, 13045, 268, 2843, 353, 29391, 3264, 13077, 23783, 21162, 13953, 11012, 10528, 25986, 30718, 16044, 491, 7549, 13150, 16417, 9261, 4138, 13150, 4736, 24012, 17153, 20413, 3522, 16021, 23485, 3522, 6459, 13833, 269, 630, 293, 3985, 1592, 540, 17119, 626, 2326, 1070, 6221, 476, 2568, 275, 269, 630, 514, 6739, 1040, 1295, 3286, 269, 745, 454, 268, 717, 2863, 615, 267, 3627, 269, 18738, 5824, 3013, 630, 3707, 272, 1070, 533, 269, 476, 14862, 454, 268, 834, 295, 1409, 523, 717, 525, 564, 2763, 575, 1122, 523, 834, 9288, 514, 918, 2086, 325, 22172, 1923, 536, 335, 321, 257, 630, 514, 4436, 1040, 645, 335, 321, 19709, 269, 5412, 476, 1691, 267, 476, 1001, 276, 269, 8158, 5181, 476, 278, 267, 476, 1001, 277, 563, 268, 834, 289, 1495, 525, 516, 19816, 737, 976, 13521, 328, 1068, 281, 717, 525, 600, 974, 1234, 577, 1206, 341, 832, 577, 337, 3424, 24166, 7638, 21538, 2471, 28856, 476, 3707, 278, 267, 674, 817, 2426, 12154, 476, 736, 269, 6021, 269, 1001, 276, 2668, 25143, 525, 330, 11961, 2401, 600, 339, 1496, 19423, 823, 540, 519, 26554, 27891, 540, 15212, 4940, 476, 1001, 276, 269, 21444, 689, 519, 3312, 593, 5181, 476, 736, 267, 476, 1001, 276, 269, 8158, 5181, 476, 736, 267, 476, 1001, 276, 563, 268, 645, 10165, 7734, 1923, 6732, 24205, 23422, 5240, 543, 6176, 269, 2201, 6050, 1539, 1108, 323, 12801, 14492, 269, 8158, 593, 476, 1001, 273, 268, 4905, 268, 2641, 563, 268, 23580, 601, 4565, 636, 267, 661, 28609, 282, 9478, 918, 1069, 880, 282, 1744, 332, 3241, 918, 21531, 22603, 630, 1960, 273, 1040, 14470, 11219, 28779, 9534, 4438, 519, 5822, 2622, 2782, 269, 3345, 13523, 2160, 4964, 269, 533, 269, 476, 5002, 269, 9768, 476, 271, 268, 279, 1015, 272, 268, 6021, 277, 274, 268, 279, 563, 268, 10370, 976, 267, 6742, 2106, 630, 1001, 272, 1040, 7734, 2433, 513, 2713, 1686, 269, 11968, 13353, 281, 808, 269, 6754, 5192, 1399, 7467, 269, 533, 269, 476, 9818, 269, 9768, 476, 7818, 268, 272, 268, 2568, 277, 6187, 268, 5400, 274, 268, 275, 563, 268, 834, 289, 10165, 7734, 6732, 8487, 268, 834, 6124, 2622, 11352, 781, 769, 638, 9974, 538, 18548, 11844, 2668, 21444 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 293, 919, 540, 3509, 454, 347, 4910, 1051, 543, 570, 16260, 1923, 11657, 566, 540, 6014, 3778, 2008, 299, 739, 823, 1923, 7720, 3559, 333, 823, 1923, 772, 810, 341, 454, 29409, 822, 807, 267, 16231, 6243, 454, 763, 7690, 6212, 922, 2238, 593, 12319, 540, 1686, 543, 2528, 540, 519, 5449, 6014, 2950, 538, 10034, 540, 23452, 823, 267, 7720, 3559, 333, 823, 267, 772, 810, 341, 543, 9986, 558, 537, 322, 607, 519, 9030, 1505, 540, 519, 3450, 21727, 543, 570, 16260, 547, 519, 1004, 543, 1053, 540, 519, 16231, 6243, 269, 6301, 2959, 540, 1344, 616, 21517, 267, 3332, 543, 5711, 1686, 563, 6124, 569, 9715, 2326, 543, 1344, 616, 5781, 4843, 547, 1857, 538, 24218, 267, 12326, 267, 11356, 4930, 543, 3872, 3292, 269, 634, 3395, 4015, 540, 1974, 11147, 267, 6054, 267, 3615, 543, 519, 2835, 689, 519, 21727, 543, 570, 16260, 5399, 616, 1031, 547, 5965, 1007, 3292, 543, 24218, 269, 769, 476, 1220, 276, 519, 12572, 20375, 547, 519, 9601, 540, 519, 14195, 729, 2813, 972, 538, 9316, 609, 1053, 269, 769, 4873, 476, 1220, 279, 519, 8628, 9754, 4159, 729, 8704, 538, 519, 772, 810, 341, 31263, 4084, 543, 538, 4728, 476, 1001, 272, 519, 1007, 9754, 4159, 543, 32572, 16423, 7732, 729, 8118, 538, 519, 22058, 730, 23452, 823, 31263, 4084, 563, 14532, 540, 6014, 11175, 538, 938, 3148, 4422, 1394, 547, 519, 476, 1428, 628, 2540, 267, 855, 1360, 2370, 3007, 814, 1044, 2016, 547, 713, 1641, 865, 2484, 269, 634, 1788, 21727, 543, 570, 16260, 568, 513, 1507, 9295, 547, 519, 1184, 540, 11423, 538, 602, 9000, 269, 3778, 540, 519, 6014, 2950, 538, 519, 23452, 823, 1858, 2394, 519, 13303, 13567, 568, 513, 1650, 540, 12560, 30398, 540, 6014, 543, 4168, 11317, 269, 1703, 568, 7899, 540, 2963, 602, 538, 519, 1974, 1354, 24918, 267, 7642, 941, 4628, 7471, 883, 519, 2486, 543, 3576, 4105, 851, 538, 2686, 543, 1514, 1272, 540, 741, 10034, 563, 2171, 3494, 519, 14266, 543, 8313, 3823, 519, 1686, 540, 6014, 2950, 538, 23452, 823, 267, 7720, 3559, 333, 823, 543, 772, 810, 341, 666, 581, 1031, 607, 2963, 602, 27031, 30398, 540, 1004, 609, 1114, 3909, 543, 7292, 4282, 729, 267, 543, 568, 267, 2009, 269, 769, 938, 5258, 1158, 971, 513, 5048, 568, 1869, 1898, 543, 1360, 1271, 563, 257, 1862, 547, 2611, 14980, 543, 967, 27075, 568, 519, 6574, 5609, 540, 782, 907, 4799, 310, 27903, 540, 17587, 13458, 15356, 543, 27254, 776, 16588, 540, 519, 7690, 21727, 543, 570, 16260, 0, 5475, 31480, 267, 14274, 543, 6151, 5779, 267, 519, 4436, 8128, 723, 1336, 513, 1007, 27521, 547, 16620, 585, 519, 12176, 540, 661, 4047, 290, 3968, 281, 21167, 28667, 543, 824, 17708, 1154, 5388, 971, 607, 21378, 2812, 543, 10365, 563, 2005, 568, 4105, 602, 519, 2707, 540, 519, 3968, 568, 1336, 4166, 267, 711, 2547, 1317, 811, 982, 476, 736, 1004, 723, 2907, 5747, 910, 6140, 538, 5125, 910, 543, 936, 476, 273, 267, 1822, 723, 1044, 7783, 676, 713, 1007, 3099, 540, 661, 31815, 328, 4551, 563, 2080, 538, 519, 13814, 267, 10448, 25210, 723, 1044, 21354, 5734, 269, 2311, 519, 4090, 267, 519, 4436, 7634, 568, 23622, 593, 513, 3484, 538, 13722, 29017, 3415, 1107, 2282, 519, 10656, 8473, 1107, 799, 9428, 2048, 4944, 709, 1154, 685, 5388, 971, 607, 21167, 28667, 267, 21378, 2812, 267, 543, 22282, 269, 2755, 4255, 616, 1373, 2196, 267, 519, 3484, 814, 1044, 6806, 1524, 543, 519, 4436, 1072, 8128, 616, 9963, 1004, 711, 547, 3548, 21167, 28667, 610, 824, 17708, 1154, 5388, 563, 11321, 4897, 2098, 2884, 1359, 267, 7548, 540, 1426, 8762, 5735, 693, 519, 2160, 540, 25538, 2287, 523, 267, 568, 711, 18617, 602, 21167, 28667, 616, 519, 2707, 540, 519, 12176, 563, 17606, 1522, 581, 513, 2707, 267, 855, 649, 12582, 1406, 7340, 602, 1082, 2009, 2959, 723, 1044, 3957, 5063, 269, 594, 1810, 1406, 1589, 621, 568, 7543, 602, 713, 568, 519, 2014, 267, 855, 621, 1223, 849, 581, 1945, 3116, 269, 898, 568, 711, 1978, 2943, 3034, 5141, 10846, 827, 519, 2014, 540, 519, 661, 4047, 290, 12176, 568, 711, 1152, 1271, 585, 7189, 543, 2550, 269, 22320, 619, 991, 547, 917, 1932, 269, 7831, 3018, 519, 9042, 540, 31480, 25540, 543, 1631, 1004, 616, 12922, 602, 519, 1007, 14353, 1107, 21167, 28667, 1107, 786, 849, 723, 4539, 585, 25210, 267, 1519, 10656, 3283, 269, 4634, 1498, 267, 607, 654, 4068, 332, 7195, 329, 15710, 267, 5883, 8689, 540, 519, 10656, 4123, 3760, 674, 2607, 328, 20764, 320, 267, 3081, 267, 972, 779, 1100, 2601, 585, 602, 563, 18658, 568, 8345, 693, 519, 4090, 568, 29070, 269, 3502, 1175, 585, 10656, 25210, 267, 855, 585, 519, 2898, 4829, 543, 10448, 4123, 269, 1284, 723, 5645, 856, 607, 1082, 4255, 607, 649, 7654, 666, 269, 2991, 1063, 476, 6110, 543, 476, 4335, 4255, 267, 1100, 661, 4047, 290, 4551, 723, 1044, 1336, 538, 5388, 538, 519, 13814, 3034, 23178, 2098, 2884, 1359, 849, 17613, 602, 519, 661, 4047, 290, 13050, 19874, 568, 5631, 513, 4436, 1966, 269, 1261, 14659, 972, 568, 1100, 2601, 585, 11784, 538, 519, 13814, 610, 824, 2477, 563, 14881, 993, 1152, 7255, 585, 1004, 538, 5125, 269, 1284, 1058, 4585, 856, 602, 649, 1810, 1406, 1376, 9117, 3352, 1674, 958, 538, 519, 13814, 269, 1280, 3236, 267, 649, 666, 3136, 547, 3548, 21167, 28667, 269, 634, 12176, 568, 538, 7187, 5125, 269, 1703, 568, 1945, 2469, 593, 972, 269, 1733, 31295, 1587, 568, 3957, 267, 519, 1981, 538, 824, 2477, 3788, 1970, 3034, 295, 2426, 776, 799, 4867, 23107, 519, 3864, 5742, 267, 814, 9307, 6683, 26110, 786, 3180, 606, 6595, 5870, 538, 29761, 593, 13638, 563, 19602, 267, 519, 10656, 5253, 543, 19901, 8605, 8881, 630, 309, 23354, 264, 6392, 814, 9307, 4255, 593, 21167, 28667, 6738, 538, 519, 13814, 269, 2423, 17067, 593, 11728, 519, 6392, 1767, 4255, 941, 711, 2556, 269, 3767, 621, 3081, 281, 968, 933, 1616, 547, 581, 593, 519, 2922, 2427, 1848, 0, 763, 1788, 968, 290, 7394, 24035, 338, 540, 519, 3162, 7489, 16323, 892, 729, 15748, 676, 519, 14408, 2752, 290, 26066, 5004, 10418, 630, 17092, 313, 10157, 264, 22503, 685, 538, 1931, 547, 13599, 1453, 543, 6107, 540, 14408, 2752, 290, 4759, 2477, 593, 14147, 18625, 543, 741, 7103, 267, 6937, 547, 18625, 543, 2560, 7348, 454, 6347, 2752, 290, 26066, 18630, 5004, 10418, 814, 6896, 606, 2825, 4656, 7688, 538, 5698, 609, 27657, 5689, 323, 1161, 269, 901, 568, 513, 1600, 538, 5412, 476, 1220, 280, 269, 20640, 3506, 689, 5689, 2946, 15548, 538, 713, 2680, 269, 8437, 1934, 547, 4647, 2055, 543, 4267, 540, 14408, 2752, 290, 7641, 13658, 2560, 7348, 454, 2108, 6347, 2752, 290, 5620, 518, 340, 5608, 9381, 4656, 538, 513, 1875, 18396, 770, 531, 2197, 814, 1044, 6707, 4371, 538, 774, 574, 874, 340, 267, 13225, 27175, 607, 851, 540, 519, 5753, 543, 15272, 16635, 6896, 676, 519, 4972, 540, 15272, 543, 22505, 267, 12080, 540, 4065, 689, 476, 276, 268, 278, 540, 5147, 476, 1220, 280, 563, 13328, 7909, 4303, 476, 1220, 280, 729, 9976, 676, 14408, 2752, 290, 26066, 18630, 5004, 10418, 538, 5698, 540, 12080, 540, 30656, 6554, 540, 5689, 323, 1161, 269, 3509, 2238, 3576, 851, 547, 8661, 713, 1554, 563, 3383, 559, 661, 12509, 1107, 519, 8851, 540, 3037, 676, 519, 2962, 540, 1216, 610, 2842, 267, 31903, 676, 4057, 6694, 2853, 267, 17717, 267, 936, 6588, 4506, 267, 543, 9390, 2305, 269, 24665, 730, 3037, 11761, 676, 1216, 610, 2842, 949, 1860, 1312, 6694, 2127, 543, 519, 2067, 1604, 267, 543, 2560, 7348, 0, 8722, 25733, 15661, 281, 5871, 700, 3019, 454, 13349, 700, 3019, 630, 294, 822, 807, 454, 263, 18933, 708, 1067, 267, 900, 828, 267, 3109, 2989, 607, 1127, 267, 15151, 13288, 547, 4158, 20034, 720, 4700, 20373, 563, 299, 281, 476, 3066, 268, 3953, 257, 654, 281, 476, 1724, 268, 1691, 4840, 28694, 1804, 267, 1279, 267, 543, 6366, 269, 1879, 3742, 267, 26055, 1970, 538, 1216, 282, 6083, 1846, 2362, 950, 16889, 610, 840, 2287, 269, 10361, 3625, 344, 267, 14328, 267, 543, 1305, 593, 5394, 8405, 269, 31698, 513, 1507, 29424, 593, 30432, 267, 7429, 824, 23683, 3138, 976, 269, 9291, 2786, 543, 546, 16925, 268, 899, 267, 609, 13581, 5086, 4571, 3118, 547, 9133, 593, 2539, 8260, 1043, 269, 681, 12584, 593, 1216, 609, 10978, 1793, 6260, 4992, 950, 2921, 8184, 269, 4469, 625, 609, 2656, 267, 3532, 13719, 18116, 593, 28795, 11329, 12209, 269, 4469, 2355, 11179, 282, 3350, 5526, 547, 581, 13671, 538, 13617, 4388, 563, 17954, 5338, 16989, 281, 17286, 3256, 4386, 538, 23683, 538, 713, 20034, 720, 269, 10361, 543, 8405, 2620, 4158, 3039, 267, 855, 5526, 3109, 896, 1034, 8654, 269, 31698, 2189, 4174, 6244, 267, 3043, 27897, 543, 24060, 4174, 701, 269, 7982, 543, 1166, 3471, 3109, 609, 9343, 540, 1804, 267, 3043, 10945, 610, 1179, 330, 956, 2429, 563, 310, 5793, 16989, 281, 31698, 3043, 524, 29266, 1472, 3750, 269, 7982, 4158, 543, 3622, 796, 5658, 539, 269, 590, 1938, 540, 8405, 6825, 676, 4158, 6512, 543, 12779, 711, 577, 4758, 621, 513, 10169, 986, 13949, 5920, 267, 7429, 7414, 700, 3019, 269, 20661, 544, 9567, 1154, 883, 9960, 20034, 720, 630, 18550, 5336, 599, 264, 3335, 2408, 1454, 899, 1875, 3691, 5338, 5017, 855, 609, 15244, 540, 9960, 20034, 720, 6932, 2429, 519, 1560, 267, 2523, 593, 519, 1394, 543, 8405, 630, 2254, 11609, 1916, 17315, 8736, 281, 7454, 5143, 689, 1875, 3691, 5338, 2937, 676, 1769, 536, 18732, 593, 1394, 17207, 2813, 676, 12779, 13692, 1196, 326, 902, 269, 15788, 536, 992, 1676, 267, 5493, 518, 267, 543, 811, 544, 3176, 982, 1875, 3691, 5338, 2937, 563, 309, 4069, 281, 717, 1161, 513, 10978, 267, 1279, 267, 6537, 13050, 552, 24809, 586, 617, 601, 593, 9960, 12406, 282, 14980, 3544, 9960, 2039, 563, 310, 5793, 2937, 781, 8405, 6825, 676, 513, 4158, 6512, 543, 12779, 711, 577, 267, 4758, 513, 986, 13949, 454, 1952, 30970, 267, 7429, 519, 4130, 7414, 543, 4414, 6253, 549, 730, 700, 9398, 282, 15320, 689, 454, 322, 768, 528, 1218, 676, 3677, 2450, 267, 1560, 2527, 267, 5394, 8405, 543, 3915, 267, 20034, 720, 32442, 2676, 663, 8184, 3337, 282, 13747, 689, 5871, 631, 1120, 753, 518, 676, 3915, 3337, 267, 5347, 454, 3650, 267, 3677, 2450, 267, 543, 2949, 32442, 563, 20332, 3778, 269, 7324, 519, 1158, 781, 1034, 12913, 11362, 5017, 267, 5871, 700, 9398, 1118, 3723, 1790, 1886, 8215, 546, 1161, 602, 949, 9765, 17909, 540, 476, 1220, 3952, 269, 9540, 3165, 616, 741, 9053, 10352, 855, 789, 849, 8532, 12933, 30702, 267, 12748, 7786, 543, 2371, 267, 1519, 13479, 269, 4014, 5827, 540, 5393, 2620, 546, 1161, 267, 5871, 700, 9398, 2356, 28532, 2282, 519, 5377, 538, 5266, 13719, 267, 683, 6702, 648, 7297, 269, 2755, 10977, 2059, 519, 1216, 781, 2627, 267, 789, 949, 13148, 21477, 613, 741, 12014, 543, 15483, 741, 9843, 547, 9263, 585, 3165, 14015, 269, 4495, 10352, 3688, 616, 19481, 267, 789, 4685, 4464, 609, 17615, 682, 2355, 543, 616, 5827, 540, 1279, 14015, 18697, 563, 18850, 9084, 543, 26335, 269, 6348, 3691, 5338, 8436, 689, 7187, 9960, 12406, 267, 1034, 5871, 700, 9398, 538, 4993, 2611, 538, 9381, 7297, 269, 3962, 1032, 267, 2705, 267, 2043, 5781, 2408, 593, 1804, 12647, 543, 23854, 538, 4993, 781, 9703, 269, 4639, 9386, 281, 5871, 700, 9398, 616, 16613, 855, 2834, 8436, 547, 1804, 23854, 971, 607, 8235, 1325, 2006, 528, 267, 674, 11169, 558, 8235, 267, 7085, 30639, 8235, 267, 543, 8235, 1772, 629, 7578, 282, 593, 4686, 14026, 267, 1875, 3691, 5338, 2043, 2611, 998, 4832, 269, 769, 3735, 4832, 543, 2887, 267, 4955, 7992, 5871, 700, 9398, 12212, 2408, 693, 1804, 1016, 531, 18090, 12647, 267, 971, 607, 693, 14210, 11535, 8235, 538, 962, 846, 332, 924, 2817, 5244, 269, 5101, 9386, 281, 5871, 700, 9398, 616, 9425, 1455, 538, 2887, 267, 5162, 267, 543, 5614, 693, 1804, 267, 1216, 4703, 971, 607, 8235, 570, 1695, 4141, 267, 5213, 1676, 8235, 267, 5440, 1794, 8235, 267, 645, 10087, 1763, 969, 7546, 267, 15167, 1636, 8235, 267, 543, 8235, 18844, 2917, 267, 855, 789, 2356, 10205, 891, 12647, 952, 8101, 2127, 540, 1930, 1216, 19068, 538, 5162, 269, 769, 4989, 267, 519, 4102, 5834, 540, 4955 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 4394, 547, 32243, 18185, 454, 21920, 1770, 7503, 568, 513, 1455, 4305, 1317, 519, 1114, 1062, 540, 4559, 814, 1585, 4559, 547, 2268, 513, 3259, 540, 606, 1843, 269, 898, 568, 2352, 585, 513, 2875, 547, 3314, 782, 3347, 1063, 1346, 4559, 269, 2290, 540, 519, 1034, 1455, 24740, 568, 689, 7397, 547, 3952, 269, 1403, 596, 616, 8572, 547, 3314, 519, 2078, 1063, 891, 4559, 267, 596, 1058, 946, 519, 7397, 3562, 1922, 324, 564, 9498, 563, 1607, 1907, 814, 1044, 23553, 585, 713, 7503, 538, 1880, 269, 4635, 713, 13004, 9498, 267, 596, 666, 6460, 1022, 6482, 689, 7397, 547, 3952, 1369, 7643, 269, 898, 786, 6460, 707, 2016, 6482, 609, 6111, 269, 2913, 721, 2995, 596, 827, 713, 1907, 607, 1134, 607, 519, 1505, 547, 6460, 835, 1770, 547, 519, 824, 563, 8368, 540, 12937, 454, 1432, 616, 7397, 888, 288, 11281, 568, 513, 3490, 1770, 689, 519, 16038, 1062, 540, 4559, 602, 568, 1031, 4922, 538, 519, 1158, 269, 634, 7397, 616, 1031, 547, 2268, 519, 3259, 540, 3044, 3615, 267, 5011, 267, 543, 5546, 269, 2201, 519, 4493, 540, 713, 1770, 267, 2789, 6905, 4559, 616, 6508, 585, 1804, 543, 1507, 7403, 1519, 18741, 18852, 267, 2578, 12281, 267, 3092, 563, 288, 6482, 666, 581, 2854, 538, 713, 1770, 676, 8380, 968, 332, 892, 593, 519, 1318, 2427, 540, 519, 1297, 269, 1306, 621, 568, 513, 3490, 1770, 267, 649, 666, 6460, 621, 883, 1114, 4559, 540, 3259, 689, 519, 16038, 1062, 607, 1134, 607, 689, 824, 1770, 1949, 563, 1432, 616, 3952, 888, 288, 3723, 568, 1776, 1770, 540, 3259, 855, 621, 12851, 547, 519, 2475, 22232, 1062, 540, 4559, 269, 8786, 267, 621, 3085, 1406, 4866, 547, 519, 16038, 1062, 540, 4559, 799, 2306, 922, 946, 3908, 269, 634, 32243, 616, 7363, 1031, 538, 7262, 2477, 585, 7893, 519, 3259, 540, 4610, 267, 11623, 267, 543, 1866, 563, 2414, 1397, 513, 6482, 538, 713, 1770, 267, 649, 723, 547, 2328, 968, 1111, 892, 1175, 22290, 519, 1297, 6029, 519, 3259, 269, 898, 1797, 649, 723, 547, 2328, 621, 607, 968, 1839, 10264, 892, 952, 519, 3259, 568, 476, 1839, 563, 300, 4394, 547, 3952, 4542, 454, 2026, 649, 723, 5018, 602, 7397, 543, 3952, 1312, 616, 1031, 547, 2268, 519, 13080, 269, 1924, 267, 649, 666, 3362, 6460, 513, 6482, 689, 7397, 547, 3952, 269, 3371, 568, 519, 4542, 596, 723, 547, 946, 585, 713, 7503, 563, 272, 11281, 815, 476, 274, 269, 27005, 3952, 454, 2171, 666, 849, 27682, 621, 607, 2676, 272, 3723, 815, 476, 271, 269, 19054, 279, 7397, 454, 1692, 547, 6460, 7397, 547, 3952, 888, 3528, 1739, 519, 1657, 2078, 267, 596, 666, 3362, 6460, 513, 6482, 2016, 538, 7397, 547, 3952, 269, 1280, 707, 1620, 267, 649, 723, 849, 12193, 606, 1383, 1934, 563, 3519, 3200, 476, 2537, 7397, 547, 3952, 563, 2026, 649, 917, 2676, 272, 11281, 815, 476, 274, 269, 27005, 3952, 454, 2537, 544, 815, 476, 2537, 1535, 476, 274, 269, 27005, 10264, 454, 284, 476, 4037, 269, 3393, 280, 10264, 454, 300, 4394, 547, 2578, 12281, 7503, 3349, 454, 1692, 547, 946, 519, 7397, 3562, 1922, 324, 564, 9498, 888, 2690, 930, 1053, 267, 621, 949, 711, 581, 2653, 547, 1685, 713, 7503, 16924, 269, 3371, 616, 519, 3268, 547, 946, 713, 1907, 676, 18185, 779, 20045, 585, 782, 1346, 1053, 563, 268, 9373, 519, 6482, 2016, 538, 7397, 454, 268, 901, 9498, 786, 8850, 6460, 519, 3259, 547, 3952, 454, 11902, 304, 1923, 631, 4394, 547, 32243, 18185, 454, 1432, 2450, 568, 476, 272, 11281, 538, 3952, 888, 1103, 2450, 267, 476, 272, 11281, 568, 3160, 547, 476, 274, 269, 27005, 3952, 563, 1692, 798, 596, 6460, 7397, 547, 3952, 888, 2414, 6460, 7397, 547, 3952, 267, 649, 723, 547, 9062, 519, 6482, 2016, 538, 7397, 676, 476, 274, 269, 27005, 563, 3674, 476, 274, 10264, 3476, 982, 513, 11281, 888, 5591, 267, 476, 274, 10264, 568, 4130, 982, 513, 11281, 563, 1692, 798, 596, 2268, 476, 272, 11281, 888, 2467, 616, 1114, 4485, 547, 7893, 476, 272, 11281, 899, 1210, 519, 11263, 540, 707, 1688, 563, 3674, 513, 11281, 8273, 982, 513, 13452, 888, 8133, 267, 513, 11281, 568, 513, 2370, 8273, 982, 513, 13452, 855, 621, 568, 2808, 519, 1482, 607, 513, 13452, 538, 1507, 7403, 563, 1432, 616, 476, 1911, 7397, 1572, 888, 1911, 7397, 568, 1572, 513, 1298, 9014, 799, 568, 1776, 4130, 1770, 540, 3259, 6482, 269, 0, 258, 279, 300, 1107, 4139, 6468, 779, 4303, 454, 2690, 713, 4139, 6468, 779, 4303, 267, 519, 2136, 8315, 6069, 519, 1888, 968, 307, 578, 1841, 606, 32213, 7913, 2622, 281, 16743, 543, 5303, 585, 13834, 25734, 1848, 3245, 932, 545, 553, 679, 570, 1815, 333, 860, 17144, 267, 649, 5000, 519, 15287, 540, 519, 1764, 602, 519, 4008, 7934, 538, 2029, 814, 593, 7239, 543, 519, 2956, 540, 2810, 4763, 1851, 519, 1004, 945, 1589, 267, 1374, 543, 1020, 3059, 3435, 602, 616, 5051, 3444, 24408, 1154, 538, 1004, 779, 2729, 563, 2414, 1174, 519, 1459, 538, 799, 649, 2661, 543, 2981, 621, 883, 513, 3655, 790, 337, 543, 811, 8537, 1747, 267, 621, 568, 2556, 547, 723, 1699, 543, 13865, 1242, 1239, 269, 1677, 713, 1439, 267, 649, 1711, 2963, 593, 519, 4008, 7934, 538, 2029, 538, 1931, 547, 3310, 519, 1966, 267, 2671, 519, 1344, 609, 519, 2551, 543, 1711, 513, 1514, 7029, 547, 2014, 7293, 2242, 269, 769, 476, 1708, 273, 649, 4843, 519, 1382, 968, 308, 3534, 1286, 516, 571, 964, 580, 783, 281, 3288, 1786, 15939, 632, 575, 2946, 1676, 334, 679, 1714, 521, 626, 9047, 5203, 527, 9222, 632, 18335, 892, 1496, 2304, 772, 928, 23974, 19396, 281, 634, 13834, 29361, 538, 18335, 779, 2160, 3590, 3910, 799, 12220, 519, 7589, 540, 2021, 538, 2257, 267, 2029, 267, 4702, 543, 6128, 630, 23727, 264, 11678, 269, 634, 4681, 8451, 689, 519, 8760, 540, 936, 5722, 8536, 6280, 5232, 4080, 676, 519, 12080, 540, 4065, 538, 3210, 547, 13668, 585, 1569, 547, 1857, 1344, 269, 634, 2079, 9607, 519, 1974, 1063, 476, 1001, 271, 543, 476, 1001, 280, 543, 6212, 593, 13241, 10459, 543, 519, 4720, 540, 2021, 779, 7589, 538, 891, 2127, 269, 634, 1867, 2982, 519, 10770, 4008, 7934, 538, 11678, 5532, 547, 2029, 1646, 912, 1892, 769, 18335, 267, 2021, 2099, 1152, 476, 4097, 260, 540, 519, 2875, 1560, 538, 13241, 10459, 543, 476, 1704, 260, 540, 519, 2875, 1560, 538, 5752, 563, 1892, 4014, 6280, 2090, 616, 9750, 2443, 519, 1297, 540, 1053, 2799, 476, 736, 260, 538, 476, 279, 1296, 2443, 13241, 11678, 616, 3395, 693, 513, 14887, 10605, 563, 4263, 932, 545, 553, 679, 570, 1815, 333, 860, 17144, 267, 649, 960, 865, 602, 5051, 811, 1762, 2021, 945, 2697, 609, 519, 4775, 4008, 666, 2015, 2029, 607, 606, 4781, 585, 741, 2866, 543, 3318, 1646, 269, 634, 7589, 540, 2021, 538, 782, 741, 4763, 538, 13241, 11678, 543, 538, 782, 2127, 1141, 3232, 6639, 3435, 616, 2813, 543, 2966, 2306, 621, 2009, 547, 2697, 513, 3152, 1297, 540, 2115, 1459, 538, 2486, 267, 1711, 8537, 2533, 543, 2472, 267, 543, 1291, 3621, 543, 6639, 8441, 689, 606, 23353, 267, 4129, 1881, 543, 14719, 894, 5133, 540, 519, 3003, 2551, 563, 4131, 779, 2981, 2029, 543, 1628, 3655, 790, 337, 7239, 2336, 266, 6258, 827, 519, 1292, 1382, 4681, 693, 713, 3095, 563, 266, 8281, 2592, 609, 1382, 1239, 693, 713, 3095, 563, 266, 7457, 519, 2407, 1382, 538, 713, 3095, 269, 0, 3799, 4700, 589, 1448, 282, 519, 8325, 1439, 610, 1283, 540, 4376, 602, 2165, 7149, 538, 513, 1448, 282, 607, 267, 519, 8445, 267, 610, 4395, 267, 540, 513, 1698, 563, 3799, 4700, 634, 1283, 267, 610, 835, 540, 519, 25568, 267, 540, 513, 14629, 267, 7823, 267, 610, 2039, 267, 10678, 538, 513, 1448, 282, 1419, 267, 519, 2898, 14629, 610, 7823, 267, 17611, 269, 950, 9678, 282, 607, 267, 519, 30078, 540, 570, 10273, 858, 324, 563, 3799, 4700, 634, 5580, 1310, 2865, 7944, 540, 513, 2062, 7146, 8584, 1111, 13743, 282, 4534, 1031, 538, 1082, 10659, 282, 607, 267, 8445, 3620, 3315, 1841, 267, 8445, 1532, 571, 2812, 267, 3092, 563, 3799, 4700, 634, 7522, 851, 540, 513, 6077, 781, 6367, 267, 610, 519, 3180, 1369, 621, 563, 3799, 4700, 634, 17119, 640, 540, 606, 19671, 2770, 651, 282, 519, 3915, 563, 17635, 269, 1775, 4700, 1677, 4473, 610, 8831, 883, 513, 8445, 610, 1448, 282, 547, 1106, 267, 610, 2408, 607, 267, 513, 8445, 563, 17635, 269, 1775, 4700, 1677, 10536, 8325, 1145, 540, 4137, 610, 2934, 282, 8754, 267, 547, 1413, 6094, 610, 7210, 344, 563, 17635, 269, 1775, 4700, 1677, 533, 787, 282, 547, 890, 788, 521, 569, 569, 563, 17635, 269, 512, 4700, 1677, 6318, 547, 513, 2990, 13902, 267, 610, 811, 5176, 865, 282, 607, 267, 547, 8445, 522, 1513, 267, 547, 3180, 873, 20005, 282, 547, 8445, 513, 575, 3530, 610, 13452, 267, 547, 1305, 621, 683, 13145, 519, 13902, 563, 263, 272, 264, 634, 11664, 540, 8390, 538, 519, 7471, 1858, 540, 513, 2582, 8445, 568, 476, 1626, 18336, 263, 273, 264, 3371, 649, 1397, 602, 713, 15632, 540, 6673, 268, 273, 22328, 568, 693, 519, 1377, 540, 16606, 543, 568, 23644, 267, 8757, 513, 8445, 476, 4366, 268, 7761, 32162, 1310, 519, 1840, 540, 17241, 543, 19394, 27502, 267, 1256, 538, 519, 6024, 4527, 540, 17241, 563, 263, 274, 264, 589, 2381, 334, 3679, 5311, 2079, 4951, 602, 1312, 19589, 1185, 9838, 715, 3856, 1400, 9696, 998, 519, 1101, 476, 2764, 22016, 563, 263, 275, 264, 1452, 7422, 941, 9672, 676, 519, 11318, 14258, 538, 7535, 539, 16796, 5833, 693, 8445, 543, 512, 893, 2157, 563, 263, 276, 264, 634, 8445, 7636, 2597, 2760, 6603, 602, 540, 513, 2347, 476, 273, 281, 272, 1950, 563, 263, 277, 264, 30078, 1401, 21732, 10046, 543, 1280, 1027, 1401, 21732, 6399, 10046, 338, 538, 519, 9832, 476, 271, 268, 1839, 9077, 476, 1839, 268, 2004, 260, 543, 476, 2004, 268, 4037, 260, 540, 1280, 1027, 966, 1388, 27519, 941, 3648, 4389, 538, 2831, 6534, 547, 17405, 9688, 32669, 267, 6466, 519, 1895, 6534, 547, 19844, 9688, 32669, 1705, 711, 8428, 689, 519, 1852, 1895, 563, 263, 278, 264, 1284, 2461, 1565, 547, 4558, 8445, 1379, 538, 782, 5686, 540, 2081, 281, 513, 4993, 25488, 585, 1007, 1379, 3761, 729, 4465, 676, 513, 2754, 602, 3096, 3063, 3859, 1648, 547, 19068, 4672, 267, 799, 1287, 5283, 1206, 1282, 519, 1554, 547, 3761, 1379, 563, 263, 279, 264, 3143, 1713, 21374, 540, 8445, 966, 302, 273, 941, 4767, 1063, 519, 476, 274, 4255, 563, 263, 280, 264, 3212, 6545, 538, 519, 14203, 4994, 941, 28263, 676, 476, 277, 2395, 609, 19589, 538, 519, 16796, 19697, 5834, 563, 263, 1015, 264, 30078, 11841, 568, 1336, 1851, 476, 2412, 547, 476, 5392, 4458, 6040, 543, 476, 2568, 547, 476, 5038, 4458, 6040, 2021, 563, 263, 1556, 264, 634, 14230, 540, 519, 5925, 13808, 7902, 24885, 25140, 1175, 1991, 547, 519, 20312, 656, 16867, 8445, 267, 10834, 602, 7135, 811, 8701, 982, 519, 2385, 941, 1459, 607, 7004, 2472, 563, 263, 1321, 264, 634, 7455, 540, 5378, 4680, 8445, 539, 693, 519, 1482, 942, 607, 602, 540, 570, 298, 2534, 855, 729, 1152, 476, 6924, 260, 607, 3573, 563, 263, 1724, 264, 1284, 9959, 602, 519, 3731, 1474, 520, 657, 2096, 20627, 16846, 5161, 540, 606, 2038, 2300, 527, 2218, 5057, 1813, 547, 519, 2038, 11852, 540, 681, 309, 299, 17898, 1400, 1623, 12949, 334, 1410, 31842, 2218, 11409, 609, 6385, 10647, 4949, 976, 543, 513, 2663, 8445, 602, 949, 8451, 689, 519, 3735, 11852, 540, 891, 1482, 11409, 607, 1134, 607, 519, 2038, 11852, 540, 681, 309, 299, 21729, 558, 19318, 11409, 609, 811, 7444, 10647, 11983, 4949, 976, 563, 263, 1691, 264, 634, 20554, 295, 10638, 16626, 31380, 267, 609, 3339, 23280, 6114, 547, 1244, 582, 14271, 716, 1156, 630, 24030, 518, 982, 476, 15946, 271, 693, 476, 277, 554, 264, 543, 31202, 20945, 630, 701, 752, 267, 476, 276, 3445, 264, 476, 1691, 543, 476, 1240, 3275, 2022, 31691, 267, 6606, 563, 263, 1428, 264, 3143, 2078, 729, 1336, 609, 519, 6207, 1871, 540, 2901, 8445, 610, 1858, 23435, 563, 263, 1626, 264, 717, 333, 305, 295, 30376, 3812, 606, 7525, 2333, 538, 11919 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 512, 568, 519, 1297, 540, 7623, 532, 5712, 630, 2254, 1109, 8734, 476, 1015, 267, 476, 1001, 276, 2334, 568, 1946, 7623, 1719, 568, 707, 1655, 3659, 950, 621, 2501, 547, 10115, 269, 589, 3476, 16754, 281, 8892, 10025, 815, 10558, 1871, 14370, 272, 266, 8882, 3175, 2557, 8203, 15893, 540, 1296, 269, 815, 1015, 267, 1822, 270, 674, 309, 568, 519, 5092, 781, 10678, 270, 3901, 12053, 1871, 780, 1993, 1719, 543, 2557, 540, 10958, 267, 543, 519, 1459, 543, 2104, 2418, 540, 513, 2582, 8569, 269, 1280, 519, 7623, 29027, 1505, 267, 519, 19017, 2179, 936, 513, 1974, 540, 942, 568, 519, 9030, 585, 16270, 519, 15657, 540, 519, 10211, 267, 519, 3068, 1871, 568, 5231, 3281, 895, 9314, 16754, 32273, 497, 9537, 540, 3281, 895, 9314, 32273, 497, 16754, 585, 634, 15657, 1871, 786, 581, 12652, 269, 476, 1626, 267, 275, 3607, 269, 866, 269, 901, 1847, 568, 851, 540, 519, 2557, 14469, 4640, 543, 519, 1482, 568, 2693, 547, 581, 8045, 676, 824, 8492, 538, 519, 2282, 2104, 269, 634, 2104, 610, 15657, 1871, 589, 540, 623, 9489, 693, 513, 2241, 1719, 2557, 678, 585, 512, 1296, 568, 269, 589, 269, 623, 1556, 1677, 1265, 513, 4542, 585, 7623, 1719, 267, 1101, 15475, 602, 623, 9489, 568, 1109, 1323, 4443, 1259, 547, 12337, 519, 2179, 540, 7623, 1719, 568, 547, 9062, 519, 1306, 3254, 2630, 267, 952, 649, 1376, 609, 513, 2104, 1871, 540, 8096, 277, 267, 278, 2767, 693, 519, 1439, 540, 476, 736, 1296, 538, 519, 634, 2698, 1459, 1871, 540, 519, 3045, 8462, 543, 519, 1871, 693, 15657, 568, 8096, 1724, 267, 279, 8618, 780, 1012, 901, 568, 1634, 607, 7623, 1719, 269, 2422, 540, 8892, 10025, 269, 634, 2104, 1871, 4542, 692, 13202, 476, 736, 267, 476, 1708, 271, 769, 519, 1101, 1383, 519, 1719, 4747, 11033, 616, 1219, 518, 1042, 2394, 15657, 267, 7551, 3850, 519, 1719, 547, 7623, 936, 519, 8066, 1974, 269, 769, 1109, 901, 568, 1634, 607, 7623, 1719, 269, 2422, 540, 8892, 10025, 269, 634, 2104, 1871, 4542, 1109, 1274, 985, 476, 278, 269, 276, 260, 1719, 267, 31903, 21496, 267, 543, 1100, 2417, 12074, 610, 11198, 338, 616, 1500, 267, 1018, 729, 634, 2104, 1871, 630, 293, 309, 3738, 540, 623, 9489, 693, 1719, 2557, 1775, 267, 562, 1296, 269, 3973, 1683, 606, 5993, 1719, 2557, 543, 519, 1297, 540, 3275, 596, 1131, 899, 547, 2015, 269, 4964, 595, 3201, 290, 8085, 12442, 543, 596, 3513, 1205, 1079, 2338, 281, 519, 2104, 1871, 540, 1109, 9947, 476, 736, 267, 476, 1001, 280, 1284, 666, 946, 519, 4082, 585, 2104, 1871, 538, 2013, 540, 2241, 1719, 547, 1719, 2557, 540, 476, 279, 269, 11463, 260, 31903, 10859, 268, 2335, 1302, 609, 15657, 1871, 692, 2162, 1677, 3313, 2104, 1871, 1210, 7623, 1719, 281, 14346, 568, 519, 1459, 1871, 267, 512, 568, 519, 1297, 540, 7623, 532, 5712, 630, 2254, 692, 15253, 15929, 1719, 1797, 1719, 593, 1719, 269, 3962, 942, 596, 7118, 1719, 593, 707, 9030, 267, 621, 568, 3773, 547, 519, 3312, 2179, 267, 799, 1287, 3587, 519, 1109, 8892, 1871, 281, 674, 309, 815, 22008, 263, 272, 1341, 678, 333, 1040, 15580, 540, 1719, 950, 674, 309, 568, 1634, 281, 678, 815, 674, 309, 14727, 309, 6567, 476, 272, 562, 269, 12910, 540, 15657, 950, 674, 309, 568, 1634, 281, 562, 815, 674, 309, 14727, 309, 6567, 3281, 895, 1719, 269, 8892, 1109, 4223, 12053, 1377, 267, 610, 1871, 267, 568, 519, 4502, 540, 606, 5092, 3354, 267, 1519, 513, 6125, 610, 3281, 895, 1719, 4386, 950, 1719, 934, 745, 532, 593, 513, 9030, 3666, 1109, 674, 309, 267, 835, 540, 519, 2883, 3252, 267, 21410, 519, 2104, 1871, 540, 606, 5092, 1759, 593, 513, 3586, 1719, 2557, 269, 1411, 666, 946, 674, 309, 609, 2901, 13350, 267, 3586, 692, 2162, 8892, 1871, 4542, 269, 634, 2596, 2104, 1871, 666, 581, 7229, 1210, 519, 4542, 281, 1141, 674, 309, 568, 519, 2104, 1871, 540, 519, 10697, 610, 5092, 267, 14346, 568, 519, 1459, 610, 3355, 1871, 630, 2254, 547, 581, 11821, 609, 14346, 799, 568, 7229, 23651, 689, 519, 674, 309, 1070, 678, 568, 519, 16316, 1719, 2557, 630, 2254, 31903, 267, 711, 6673, 312, 264, 538, 8918, 267, 512, 568, 519, 942, 538, 1296, 267, 543, 562, 568, 692, 300, 309, 568, 519, 4223, 12053, 10025, 282, 623, 568, 519, 9030, 2179, 282, 678, 568, 519, 2557, 540, 1719, 6004, 269, 589, 814, 16539, 538, 6378, 16005, 585, 476, 274, 1296, 543, 2094, 621, 781, 31903, 12422, 267, 646, 568, 540, 519, 2070, 602, 2344, 786, 979, 1524, 538, 4947, 2104, 543, 8754, 646, 6499, 547, 5231, 8892, 10025, 540, 11822, 9314, 543, 3281, 15903, 9314, 27148, 269, 1635, 281, 2549, 7701, 27517, 9807, 269, 2311, 4077, 31760, 8828, 2160, 267, 972, 568, 513, 1576, 1572, 13878, 295, 1109, 8734, 476, 1321, 267, 476, 1001, 280, 1403, 782, 540, 519, 1719, 568, 6976, 693, 15657, 267, 1142, 540, 519, 1719, 11033, 949, 581, 31903, 269, 1677, 5173, 519, 15657, 1871, 585, 891, 9541, 267, 1109, 634, 7623, 1719, 4542, 543, 1806, 1519, 4466, 2104, 1871, 267, 519, 2557, 267, 543, 519, 30945, 942, 540, 606, 5092, 269, 5463, 476, 1789, 267, 476, 1001, 280, 4223, 12053, 1871, 4016, 547, 519, 2698, 1871, 540, 606, 1719, 24481, 875, 1454, 1719, 547, 2628, 538, 519, 2104, 267, 543, 1114, 9541, 666, 7623, 1109, 1677, 3313, 2104, 1871, 1210, 7623, 1719, 281, 14346, 568, 519, 1459, 1871, 267, 512, 568, 519, 1297, 540, 7623, 532, 5712, 630, 2254, 692, 1012, 540, 1719, 543, 2557, 540, 10958, 267, 543, 519, 1459, 543, 2104, 2418, 540, 513, 2582, 8569, 269, 1280, 519, 7623, 29027, 1505, 267, 519, 19017, 2179, 936, 513, 1974, 540, 942, 568, 519, 9030, 585, 16270, 519, 15657, 540, 519, 10211, 267, 519, 3068, 1871, 568, 692, 11321, 476, 276, 267, 476, 1708, 271, 3281, 895, 1719, 568, 519, 10230, 1871, 602, 568, 7229, 593, 519, 3355, 9030, 543, 519, 19017, 1719, 540, 3105, 5712, 540, 513, 16005, 610, 1109, 9484, 476, 1240, 267, 476, 1001, 280, 3281, 895, 1719, 568, 519, 10230, 1871, 602, 568, 7229, 593, 519, 3355, 3281, 895, 9314, 815, 11192, 2179, 540, 25867, 543, 9314, 538, 2104, 630, 528, 547, 2333, 519, 1871, 540, 519, 6125, 865, 621, 10301, 922, 2407, 3902, 693, 15657, 269, 634, 7623, 1719, 4542, 31758, 585, 519, 2104, 1871, 540, 707, 5092, 630, 288, 1040, 634, 4632, 616, 281, 623, 1107, 519, 9030, 630, 1492, 2179, 540, 2724, 596, 1376, 609, 5148, 678, 1107, 519, 1109, 631, 309, 568, 519, 4223, 12053, 10025, 282, 623, 568, 519, 9030, 2179, 282, 678, 568, 519, 2557, 540, 1719, 6004, 269, 589, 814, 16539, 538, 6378, 16005, 585, 476, 274, 1296, 543, 2094, 621, 781, 31903, 12422, 267, 646, 568, 540, 519, 2070, 602, 2344, 786, 979, 1524, 538, 4947, 2104, 543, 8754, 646, 6499, 547, 692, 20225, 476, 1240, 267, 476, 1001, 280, 3281, 895, 1719, 568, 519, 10230, 1871, 602, 568, 7229, 593, 519, 3355, 3281, 895, 9314, 815, 11192, 2179, 540, 25867, 543, 9314, 538, 2104, 630, 528, 547, 2333, 519, 1871, 540, 519, 6125, 865, 621, 10301, 922, 2407, 3902, 693, 15657, 269, 0, 258, 5295, 692, 20175, 568, 519, 2557, 540, 3257, 960, 269, 2107, 454, 20175, 568, 519, 2557, 540, 4483, 540, 1648, 563, 9616, 281, 4518, 2944, 568, 519, 1482, 607, 1648, 11843, 780, 8489, 960, 2944, 284, 2690, 576, 6398, 20028, 692, 8489, 8406, 568, 519, 2597, 540, 519, 1560, 543, 554, 519, 4463, 563, 763, 590, 15660, 1770, 540, 1379, 568, 26910, 630, 310, 6393, 14240, 912, 288, 26910, 568, 519, 2557, 540, 4483, 540, 1648, 540, 835, 795, 537, 548, 829, 2034, 563, 7775, 898, 568, 519, 2557, 540, 3257, 960, 540, 476, 272, 329, 537, 548, 538, 835, 2034, 780, 7078, 476, 272, 912, 2304, 2599, 12651, 476, 736, 11899, 540, 1216, 998, 513, 4463, 540, 476, 2004, 332, 538, 476, 1015, 7643, 269, 12433, 519, 1379, 540, 519, 2599, 780, 11405, 1384, 7078, 476, 273, 912, 2304, 3167, 15941, 568, 15951, 476, 1911, 310, 269, 1215, 1454, 5122, 1648, 1281, 519, 15941, 8532, 538, 476, 273, 327, 2293, 780, 11405, 1384, 7078, 476, 274, 912, 288, 812, 3096, 606, 3167, 5179, 4171, 1379, 3977, 568, 476, 4968, 271, 310, 585, 476, 272, 327, 712, 269, 1403, 519, 5179, 27499, 476, 272, 269, 4510, 9943, 13040, 297, 540, 5201, 538, 602, 942, 267, 1265, 519, 4398, 540, 519, 5179, 780, 11405, 281, 0, 1012, 10789, 476, 273, 630, 272, 560, 9990, 2020, 2330, 344, 7807, 2765, 346, 274, 343, 268, 272, 2410, 1428, 28021, 18933, 26677, 519, 2609, 540, 519, 6389, 543, 519, 2039, 630, 514, 824, 1913, 267, 519, 8200, 543, 4830, 4632, 1070, 649, 1265, 602, 519, 11201, 568, 281, 3230, 343, 284, 276, 344, 10954, 2765, 346, 272, 2410, 274, 348, 8607, 586, 7807, 2765, 346, 274, 343, 268, 272, 2410, 1428, 6525, 0, 1012, 589, 576, 707, 1985, 1239, 2257, 5967, 692, 7476, 1732, 693, 1239, 2257, 11042, 676, 6061, 513, 1906, 2055, 829, 3018, 563, 18794, 5215, 540, 824, 1239, 3744, 543, 19767, 8026, 585, 11042, 2439, 1012, 1215, 621, 1568, 692, 272, 1284, 2328, 2055, 692, 7476, 4143, 1239, 2257, 5967, 2055, 4749, 4280, 693, 1283, 3549, 780, 273, 1411, 4194, 873, 692, 24169, 519, 1966, 1354, 8391, 519, 3070, 519, 1985, 6640, 780, 274, 1284, 6494, 596, 519, 3070, 692, 13425, 707, 960, 543, 1205, 1732, 693, 5967, 532, 2439, 1012, 12726, 2055, 692, 25456, 2243, 476, 272, 281, 18926, 1702, 692, 22428, 972, 616, 476, 1428, 1114, 2681, 22916, 976, 538, 513, 4216, 269, 3962, 942, 835, 3489, 338, 513, 22916, 517, 267, 621, 568, 8449, 2693, 547, 581, 1022, 540, 519, 476, 1428, 2010, 269, 30770, 519, 4397, 1948, 540, 1114, 4778, 602, 616, 5833, 538, 513, 1305, 540, 476, 276, 22916, 976, 269, 630, 295, 842, 281, 946, 13525, 4632, 543, 5276, 640, 540, 20772, 2020, 2171, 26246, 519, 22916, 976, 689, 476, 272, 547, 476, 1428, 269, 2913, 3230, 311, 10983, 2330, 5815, 950, 519, 476, 603, 22916, 517, 568, 1851, 519, 476, 276, 22916, 976, 5697, 780, 3383, 2676, 2330, 292, 11583, 10983, 264, 815, 2330, 2398, 2715, 23536, 1464, 602, 693, 2547, 835, 1826, 1775, 22916, 517, 568, 538, 1305, 540, 476, 276, 8679, 2330, 292, 11583, 10983, 264, 815, 2330, 476, 272, 910, 2398, 2715, 7224, 1826, 1775, 22916, 976, 538, 1305, 540, 476, 276, 8679, 2330, 292, 11583, 10983, 264, 815, 476, 272, 910, 1422, 2765, 346, 1691, 2410, 1428, 11892, 276, 315, 9681, 11997, 267, 519, 4397, 1948, 540, 22916, 976, 568, 1384, 2330, 284, 1422, 8999, 3709, 328, 284, 272, 8703, 1428, 348, 661, 11583, 10983, 14638, 454, 2330, 284, 476, 1428, 314, 272, 910, 1422, 2765, 346, 1691, 2410, 1428, 11892, 276, 316, 16465, 2330, 284, 476, 275, 269, 4343, 9681, 25456, 2243, 476, 273, 281, 32017, 270, 28669, 566, 692, 22428, 596, 723, 513, 1239, 18134, 267, 17093, 267, 609, 519, 1739, 5638, 1384, 271, 476, 736, 4544, 476, 6434, 4024, 731, 24261, 454, 272, 476, 866, 4544, 476, 10844, 1325, 20388, 902, 454, 273, 476, 2420, 5835, 476, 4817, 744, 3405, 631, 1638, 1231, 454, 274, 476, 2641, 3039, 476, 3583, 1975, 27247, 22413, 534, 1408, 692, 763, 1239, 18134, 568, 6029, 1344, 827, 1053, 269, 3503, 3009, 1210, 5124, 17455, 553, 547, 2824, 519, 9343, 1141, 519, 1053, 262, 5172, 2681, 568, 4544, 610, 5835, 543, 741, 3446, 568, 693, 2547, 476, 3445, 780, 258, 31711, 938, 5044, 540, 3077, 4778, 454, 325, 822, 318, 10233, 6958, 559, 614, 815, 18358, 19990, 3299, 1412, 344, 3641, 262, 6540, 258, 2414, 2824, 9343, 4171, 6241, 1871, 568, 538, 606, 12055, 762, 5044, 267, 799, 649, 3989, 607, 7957, 318, 10233, 6958, 559, 614, 267, 649, 666, 946, 568, 514, 454, 4206, 815, 17093, 7456, 665, 314, 4206, 9131, 325, 2948, 924, 318, 10233, 262, 4940, 529, 514, 6600, 822, 318, 10233, 6958, 559, 614, 264, 6540, 258, 10113, 267, 649, 991, 547, 6882, 593, 8464, 1657, 476, 3445, 269, 1934, 649, 666, 946, 1327, 593, 938, 1239, 18134, 1384, 258, 2181, 1613, 519, 1239, 18134, 7531, 4910, 738, 656, 1239, 18134, 1384, 272, 476, 866, 4544, 476, 10844, 1325, 20388, 902, 454, 273, 476, 2420 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 1759, 593, 7857, 1242, 1239, 270, 15574, 267, 799, 814, 7930, 8719, 1957, 2861, 5638, 269, 634, 4950, 568, 849, 1818, 8101, 538, 30030, 538, 3461, 1416, 543, 23425, 540, 1072, 1416, 1344, 269, 898, 568, 4657, 519, 1259, 1072, 9443, 4648, 3489, 1344, 269, 1358, 946, 519, 4950, 543, 5907, 2200, 547, 798, 1919, 899, 17034, 2564, 5638, 267, 3246, 6552, 3461, 1416, 998, 7658, 25924, 6703, 267, 543, 17034, 1072, 1416, 3332, 269, 6925, 568, 1851, 1082, 824, 9443, 267, 606, 1858, 538, 799, 519, 7269, 540, 1344, 568, 11999, 543, 799, 568, 9691, 8200, 593, 909, 547, 4266, 1344, 269, 1452, 2188, 723, 6766, 519, 6388, 540, 1966, 1759, 1565, 1935, 538, 519, 2564, 2069, 269, 26597, 3406, 2645, 616, 2139, 547, 12398, 3617, 2959, 543, 1510, 891, 3406, 2645, 267, 519, 4960, 540, 4466, 4143, 1344, 593, 519, 5680, 1131, 581, 28489, 269, 4634, 609, 519, 948, 540, 3406, 2645, 267, 3755, 1590, 581, 2111, 547, 946, 10427, 10478, 2553, 543, 2994, 540, 9757, 3406, 2645, 538, 1931, 547, 1265, 4143, 1344, 269, 11778, 540, 519, 1459, 1353, 1397, 602, 1447, 982, 476, 273, 3108, 540, 1569, 547, 4950, 3217, 519, 1101, 1931, 8989, 1851, 519, 2564, 4648, 540, 20474, 24385, 340, 269, 476, 273, 268, 274, 3108, 540, 1569, 547, 4950, 519, 2034, 267, 476, 274, 268, 275, 3108, 540, 1569, 547, 4950, 519, 3791, 267, 476, 275, 268, 276, 3108, 540, 1569, 547, 4950, 519, 8772, 543, 1657, 476, 276, 3108, 540, 1569, 547, 4950, 519, 2063, 269, 5530, 8761, 602, 17013, 723, 1164, 2042, 538, 17034, 552, 9113, 1545, 538, 2474, 540, 3644, 267, 7411, 538, 1210, 3059, 2200, 1813, 547, 3668, 540, 8668, 1702, 543, 3908, 1569, 547, 5904, 269, 634, 17013, 723, 9793, 2042, 538, 17034, 4143, 1344, 543, 2921, 1279, 942, 547, 2070, 269, 634, 17013, 723, 2547, 2042, 2509, 3500, 10333, 267, 3668, 540, 942, 543, 1932, 1454, 1344, 27366, 563, 21357, 28968, 267, 5769, 267, 661, 9113, 1545, 267, 9612, 1621, 1149, 267, 661, 18191, 16067, 267, 6481, 4578, 645, 1162, 267, 14871, 4065, 267, 11711, 18734, 16257, 630, 293, 9143, 1916, 268, 1703, 616, 4867, 1100, 1201, 10587, 269, 0, 763, 3864, 5742, 3340, 9755, 547, 6338, 513, 2039, 540, 3106, 9283, 593, 782, 1007, 6517, 547, 2149, 19516, 20379, 538, 519, 2680, 540, 513, 16580, 609, 513, 1286, 269, 808, 16331, 541, 543, 8585, 1027, 525, 5174, 20044, 616, 519, 1101, 547, 6338, 1007, 6517, 609, 2934, 602, 16783, 609, 891, 4441, 269, 769, 3567, 267, 670, 25352, 814, 2919, 519, 1158, 779, 1101, 27576, 2011, 321, 698, 563, 297, 16331, 541, 779, 782, 20642, 2473, 298, 5026, 1286, 267, 799, 4422, 593, 9042, 538, 2038, 476, 1220, 277, 267, 2934, 519, 12877, 4710, 1013, 545, 16677, 652, 6929, 1546, 1943, 762, 12844, 6339, 3590, 269, 901, 4359, 15392, 1062, 666, 10646, 1063, 1114, 2010, 540, 28882, 5222, 269, 3973, 538, 519, 2013, 540, 513, 31355, 1764, 267, 519, 26372, 8850, 2048, 335, 3591, 685, 909, 513, 1906, 6279, 547, 1711, 513, 31289, 532, 1198, 1063, 519, 2599, 543, 519, 26372, 269, 901, 2337, 547, 20586, 519, 31355, 689, 2182, 3334, 538, 519, 2599, 26654, 269, 901, 782, 4523, 538, 1447, 982, 513, 20870, 540, 519, 942, 621, 3217, 547, 1025, 1074, 606, 3750, 267, 476, 1789, 1984, 1047, 6948, 267, 1210, 4229, 909, 547, 476, 2004, 2053, 519, 3196, 540, 8904, 547, 12740, 519, 476, 2004, 1790, 895, 26372, 563, 763, 4359, 15392, 1062, 267, 15841, 538, 519, 4395, 536, 32658, 267, 666, 5806, 3729, 1063, 513, 31355, 16580, 543, 1022, 824, 2009, 4395, 15134, 21611, 269, 634, 808, 16331, 541, 1062, 7363, 13333, 693, 6174, 11250, 1141, 621, 2488, 519, 1034, 4324, 543, 568, 8850, 16981, 3544, 540, 713, 3432, 2039, 269, 898, 568, 4625, 5094, 689, 1022, 824, 16154, 4027, 1062, 593, 519, 6174, 1519, 2011, 321, 4711, 269, 634, 1007, 2473, 298, 849, 814, 513, 12809, 536, 32658, 1062, 547, 2569, 1850, 5945, 998, 519, 946, 540, 24807, 762, 17371, 543, 5068, 8720, 563, 30560, 1027, 525, 5174, 20044, 267, 513, 1279, 942, 22082, 538, 2029, 547, 2149, 19516, 20379, 267, 814, 3144, 513, 811, 12809, 1935, 547, 6061, 519, 1482, 1966, 269, 634, 9207, 728, 540, 519, 26372, 593, 519, 1007, 590, 4211, 20199, 6822, 534, 814, 1044, 2966, 585, 23553, 22636, 543, 1764, 20589, 10338, 538, 513, 16580, 609, 513, 31355, 269, 589, 834, 344, 1752, 532, 257, 554, 16636, 7028, 519, 22636, 540, 519, 26372, 543, 849, 2337, 547, 2569, 7063, 547, 19516, 20379, 607, 1134, 607, 13770, 743, 1235, 543, 5179, 7094, 1235, 269, 634, 4395, 535, 11367, 616, 7923, 547, 519, 5580, 19976, 2818, 676, 513, 2027, 21338, 3693, 609, 10502, 7229, 6551, 7190, 4162, 269, 898, 568, 23553, 547, 2285, 1259, 538, 519, 2680, 540, 606, 1764, 563, 763, 22636, 2230, 1063, 519, 26372, 543, 519, 2599, 3334, 9944, 621, 910, 606, 1271, 3815, 538, 10913, 1141, 972, 568, 3346, 1063, 519, 31355, 781, 2212, 543, 519, 13755, 6339, 910, 814, 1044, 2799, 538, 1079, 2081, 269, 3689, 267, 519, 4395, 3296, 568, 930, 476, 2420, 28935, 2362, 982, 538, 519, 3105, 2203, 269, 19627, 267, 519, 2599, 267, 8710, 268, 25388, 828, 20610, 267, 23854, 543, 1852, 10591, 723, 1044, 4092, 909, 547, 476, 1724, 28935, 2539, 269, 634, 8585, 1027, 525, 8030, 723, 849, 4389, 519, 2949, 4463, 540, 519, 12798, 10547, 2914, 23803, 1062, 267, 7551, 2810, 519, 22636, 2230, 269, 634, 4395, 536, 32658, 814, 513, 23574, 267, 17371, 23752, 24401, 8814, 6316, 547, 2327, 2038, 543, 1256, 1489, 538, 513, 16580, 563, 295, 25352, 814, 2919, 519, 1158, 779, 1101, 2504, 27576, 2011, 321, 698, 1062, 543, 786, 2709, 621, 593, 519, 1007, 7108, 30733, 27576, 16516, 979, 593, 9042, 538, 3735, 5614, 476, 1220, 277, 269, 634, 1007, 1062, 666, 948, 24390, 519, 10335, 540, 7063, 3361, 676, 28882, 21611, 563, 763, 16359, 12860, 5794, 321, 698, 3590, 779, 2011, 321, 698, 9074, 267, 5627, 519, 2011, 321, 698, 543, 4870, 1807, 267, 568, 4092, 538, 4395, 540, 519, 31115, 269, 634, 2011, 321, 698, 4870, 1807, 11392, 606, 5907, 5365, 10299, 676, 519, 2011, 321, 698, 10566, 308, 630, 19491, 3055, 1852, 1770, 264, 4051, 532, 621, 547, 5305, 9436, 3154, 547, 4870, 622, 519, 2011, 321, 698, 269, 9050, 16154, 8596, 7923, 593, 1312, 5011, 540, 519, 4395, 23643, 267, 1079, 593, 2901, 2427, 267, 3713, 2242, 538, 10231, 1282, 28882, 5222, 269, 634, 10566, 308, 15824, 9273, 267, 9236, 713, 1239, 547, 3044, 27576, 2623, 267, 547, 14678, 3313, 950, 513, 16580, 568, 9648, 543, 2436, 610, 711, 621, 568, 2556, 547, 4870, 622, 519, 2011, 321, 698, 269, 769, 4148, 908, 6385, 1310, 519, 1764, 267, 519, 2011, 321, 698, 666, 10110, 930, 540, 519, 4464, 1648, 540, 519, 31115, 267, 4227, 519, 6991, 693, 799, 519, 31115, 949, 581, 16207, 689, 519, 27576, 543, 4543, 24390, 519, 10335, 540, 7063, 3361, 676, 519, 31115, 2458, 4575, 609, 1776, 6174, 610, 609, 519, 4155, 269, 0, 6110, 13012, 540, 634, 14472, 26338, 1484, 454, 8005, 616, 519, 14472, 545, 745, 857, 753, 286, 1548, 26328, 873, 286, 1432, 568, 621, 602, 814, 6273, 519, 14472, 545, 745, 857, 753, 286, 10801, 519, 2063, 1906, 5553, 267, 723, 789, 1044, 25868, 676, 606, 2856, 286, 589, 6138, 286, 589, 3909, 3350, 286, 589, 1259, 540, 1272, 286, 1411, 1223, 2161, 602, 519, 3844, 14472, 545, 745, 857, 534, 2219, 267, 2348, 4503, 9039, 540, 922, 1379, 543, 14496, 267, 568, 606, 9029, 547, 782, 1480, 7919, 281, 2048, 1862, 10048, 267, 798, 6038, 1174, 707, 1378, 28665, 543, 4502, 267, 543, 1946, 596, 616, 1572, 2890, 6523, 332, 267, 543, 875, 2484, 707, 1702, 540, 7186, 11498, 19028, 301, 984, 30276, 543, 29247, 2099, 519, 30493, 547, 799, 1169, 1480, 1373, 568, 1572, 676, 16495, 540, 741, 5888, 543, 5169, 1107, 875, 789, 616, 2111, 547, 2981, 883, 519, 2696, 15515, 902, 789, 9247, 616, 269, 634, 1657, 10839, 568, 513, 23650, 689, 513, 2143, 543, 9583, 12357, 8915, 334, 689, 513, 7361, 7164, 7015, 3125, 269, 1809, 930, 1353, 2982, 721, 513, 9670, 3950, 538, 942, 540, 1004, 945, 941, 5532, 609, 519, 14472, 26338, 1484, 547, 513, 3152, 610, 14758, 6708, 267, 971, 607, 3744, 267, 5830, 267, 5159, 267, 7189, 267, 15806, 543, 1869, 1866, 945, 941, 1447, 538, 519, 1857, 3750, 267, 1004, 538, 2486, 563, 763, 2012, 14472, 26338, 1484, 666, 581, 14360, 1394, 547, 519, 29564, 540, 519, 14472, 26338, 1484, 945, 5030, 538, 5125, 1472, 476, 14065, 275, 269, 1717, 267, 14472, 26338, 1484, 568, 711, 513, 2012, 540, 513, 1895, 610, 513, 3350, 267, 2864, 621, 4016, 547, 519, 4162, 540, 1480, 7919, 945, 616, 3168, 585, 602, 1390, 9814, 609, 799, 789, 616, 21947, 281, 547, 3605, 1946, 789, 616, 1572, 2890, 6523, 332, 267, 547, 3605, 519, 4276, 1063, 519, 1507, 543, 519, 1804, 267, 1063, 519, 1657, 543, 519, 2630, 267, 1063, 519, 3330, 543, 519, 3544, 4429, 4322, 2055, 666, 581, 14360, 1394, 538, 942, 267, 585, 1383, 547, 3504, 5527, 543, 519, 19555, 2045, 7326, 269, 769, 519, 824, 4287, 2059, 519, 15415, 267, 1318, 909, 2394, 2221, 267, 972, 616, 14472, 545, 745, 857, 753, 945, 267, 1310, 968, 30161, 1681, 519, 2470, 543, 875, 2484, 519, 1702, 540, 812, 11498, 538, 621, 2223, 723, 8399, 539, 547, 4019, 519, 4031, 267, 519, 9059, 543, 519, 1148, 602, 789, 723, 4121, 543, 6444, 269, 14472, 545, 745, 857, 753, 616, 4061, 1419, 2404, 609, 620, 17057, 1235, 267, 7722, 538, 5663, 519, 12357, 14544, 779, 6149, 610, 538, 519, 1818, 540, 4154, 563, 763, 9059, 540, 519, 14472, 26338, 1484, 267, 2705, 267, 6013, 593, 606, 7357, 1114, 7077, 269, 4014, 1759, 593, 1702, 540, 1480, 7919, 1107, 938, 2078, 609, 2470, 267, 938, 1747, 538, 5137, 543, 938, 2078, 547, 519, 2707, 540, 782, 713, 267, 519, 2353, 6363, 1430, 5336, 1278, 610, 2696, 1107, 713, 9059, 5555, 9388, 609, 7004, 281, 7004, 540, 519, 2539, 883, 519, 2362, 267, 519, 3618, 569, 1373, 883, 519, 2890, 6523, 6193, 1373, 267, 543, 2713, 538, 519, 782, 17907, 28685, 566, 538, 513, 18512, 4276, 1063, 1480, 1373, 543, 2696, 563, 763, 2495, 3297, 519, 2165, 14472, 26338, 1484, 568, 1140, 2286, 519, 9782, 547, 519, 3444, 269, 898, 568, 13031, 519, 9782, 267, 519, 2362, 9759, 799, 6013, 6456, 538, 519, 1480, 1373, 267, 538, 938, 1378, 2729, 269, 898, 568, 519, 1184, 540, 7004, 269, 4475, 267, 4896, 945, 1281, 713, 949, 581, 1572, 513, 14472, 545, 745, 857, 534, 563, 763, 19656, 3125, 540, 519, 14472, 26338, 1484, 666, 581, 2938, 1312, 607, 519, 1065, 13024, 543, 849, 607, 2713, 1806, 540, 519, 7004, 789, 723, 13736, 267, 6594, 543, 4330, 538, 1469, 538, 602, 9583, 538, 1260, 11772, 1043, 610, 12572, 1893, 269, 1358, 1500, 513, 2178, 9029, 547, 18495, 547, 12446, 693, 6616, 741, 1378, 1373, 543, 2832, 269, 18838, 1524, 538, 519, 674, 4821, 2605, 15715, 527, 15384, 267, 519, 674, 877, 610, 11910, 540, 519, 14472, 545, 745, 857, 534, 19656, 3125, 267, 543, 538, 519, 1650, 634, 1325, 23755, 11205, 3429, 540, 4168, 14472, 26338, 1484, 267, 649, 1294, 519, 4542, 267, 519, 6609, 540, 513, 1480, 1373, 945, 814, 3323, 547, 960, 593, 519, 1390, 7004, 267, 519, 620, 23755, 16806, 563, 1103, 713, 28740, 11905, 1576, 649, 1616, 547, 1353, 713, 1927, 267, 543, 4308, 609, 2055, 899, 912, 268, 1548, 568, 865, 2027, 827, 519, 5048, 540, 519, 14472, 545, 745, 857, 753, 888, 268, 2201, 1018, 798, 789, 3490, 741, 10752, 888, 268, 1548, 568, 519, 1184, 540, 4742, 513, 14472, 545, 745, 857, 534, 888, 268, 1548, 5949, 1310, 519, 1289, 540, 519, 29564, 7902, 538, 476, 14065, 275, 888, 268, 1215, 1705, 519, 8142, 11457, 689, 1287, 2394, 2221, 888, 268, 1656, 267, 1223, 621, 581, 602, 594, 2965, 993, 513, 2048, 305, 657, 545, 745, 857, 534, 685, 8885, 888, 1607, 476, 1015, 3018, 1576, 786, 581, 1930, 585, 27350, 519, 2898, 1032, 476, 1001, 279, 563, 2252, 596, 616, 5461, 267, 596, 666, 1129, 909, 1631, 676, 11488, 606, 4757, 547, 912, 2171, 4126, 621, 786, 581, 2009, 585, 596, 547, 6443, 721, 543, 1413 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 2270, 519, 3262, 593, 10862, 269, 0, 763, 800, 543, 23397, 10241, 540, 10724, 4804, 454, 297, 5622, 8210, 267, 631, 1263, 630, 539, 3218, 994, 313, 17924, 267, 962, 328, 630, 539, 3218, 994, 10214, 2094, 5904, 941, 11827, 267, 1082, 3173, 723, 1044, 3843, 547, 1174, 875, 1480, 7919, 1451, 543, 1082, 4277, 26336, 543, 4485, 2509, 900, 6819, 1480, 1565, 5759, 723, 1044, 6069, 269, 634, 2702, 540, 1565, 568, 835, 540, 519, 3844, 2934, 540, 1480, 4987, 267, 799, 2306, 621, 606, 1271, 12146, 538, 1312, 2757, 14464, 11106, 630, 9590, 264, 543, 6932, 15465, 3163, 269, 10724, 4804, 630, 7876, 264, 14405, 2390, 2093, 689, 513, 3309, 1305, 540, 10459, 267, 1519, 3642, 267, 17438, 543, 10803, 267, 32492, 29203, 267, 6176, 7869, 267, 10017, 543, 11671, 321, 5735, 267, 6513, 7869, 543, 13898, 269, 16066, 3322, 3376, 3584, 1519, 17540, 21424, 20603, 267, 22532, 17978, 630, 13585, 338, 1070, 12472, 776, 27122, 630, 292, 2026, 1070, 17438, 543, 10803, 267, 17423, 19029, 267, 3092, 269, 7464, 8996, 3156, 540, 16066, 616, 7839, 971, 607, 23694, 23779, 267, 4578, 14086, 267, 717, 5446, 267, 12713, 1606, 7220, 267, 17791, 20664, 267, 6513, 543, 29790, 3156, 269, 901, 2835, 5359, 519, 5767, 7835, 543, 13777, 22618, 3466, 538, 16066, 563, 26397, 4266, 543, 1747, 1220, 280, 0, 8505, 1143, 543, 875, 616, 519, 2589, 6766, 888, 8505, 1143, 568, 711, 513, 16220, 22041, 9659, 602, 786, 3251, 6378, 538, 513, 1126, 779, 1560, 585, 519, 1964, 540, 1010, 610, 1200, 1272, 269, 4197, 519, 2188, 12018, 519, 2589, 540, 20150, 666, 581, 6913, 676, 9878, 3007, 547, 543, 10916, 519, 1604, 4478, 543, 1354, 10913, 538, 513, 1114, 1259, 269, 11576, 800, 9397, 786, 4217, 707, 1126, 538, 1201, 1371, 532, 543, 1036, 29470, 563, 8993, 1005, 856, 707, 1126, 779, 2115, 454, 2467, 779, 513, 2603, 540, 3332, 883, 875, 1004, 609, 10295, 3668, 513, 865, 10777, 3069, 540, 2247, 267, 799, 1797, 789, 1810, 1406, 8275, 596, 2461, 513, 1114, 1268, 609, 1114, 2115, 982, 789, 798, 269, 2334, 949, 581, 4570, 267, 855, 3610, 267, 3237, 267, 543, 4966, 1419, 3668, 606, 1620, 540, 1018, 814, 2097, 547, 581, 1634, 607, 519, 1126, 779, 3069, 540, 14815, 543, 8226, 563, 2791, 1810, 1406, 1174, 1946, 513, 31300, 1359, 1769, 15941, 16716, 1200, 899, 513, 30021, 540, 17500, 543, 1018, 7506, 621, 547, 957, 865, 267, 543, 513, 7450, 10428, 30366, 4992, 899, 513, 8536, 5939, 30518, 269, 1411, 1810, 1406, 1174, 1946, 513, 4819, 814, 547, 7148, 1010, 3723, 543, 838, 11781, 1472, 519, 4928, 547, 2057, 9991, 856, 540, 1010, 11381, 269, 1656, 596, 1810, 1406, 8275, 602, 18506, 267, 1317, 540, 922, 5347, 9403, 267, 1522, 581, 835, 540, 519, 1152, 3536, 602, 1810, 1406, 1118, 707, 8250, 779, 5023, 1745, 899, 621, 779, 2407, 540, 890, 6277, 956, 563, 7312, 1126, 568, 2693, 2348, 607, 1454, 8373, 4466, 856, 707, 2115, 607, 596, 616, 609, 1200, 338, 269, 2701, 949, 711, 917, 602, 596, 2461, 2348, 513, 11315, 1554, 267, 865, 2119, 547, 581, 1447, 991, 344, 2221, 269, 4595, 646, 666, 1406, 1224, 707, 30627, 10291, 267, 646, 949, 2911, 538, 947, 14688, 563, 15507, 585, 519, 6456, 2495, 454, 6624, 540, 707, 1126, 779, 6411, 666, 3100, 547, 581, 2192, 16479, 9789, 344, 1810, 1406, 3100, 547, 4196, 1022, 1880, 2601, 269, 2659, 4819, 267, 593, 519, 824, 1688, 267, 1281, 711, 1159, 792, 31997, 782, 936, 519, 6821, 593, 3483, 547, 1118, 596, 649, 788, 610, 13347, 269, 27539, 585, 513, 4090, 602, 707, 1126, 568, 11488, 596, 27573, 6835, 827, 1919, 602, 616, 1271, 547, 1864, 267, 543, 707, 4305, 568, 547, 11523, 519, 3009, 865, 596, 666, 968, 1348, 892, 519, 6835, 563, 2791, 949, 581, 2111, 547, 6952, 4191, 596, 4769, 1406, 1294, 1354, 543, 1265, 513, 811, 3811, 1259, 547, 1489, 707, 1126, 952, 596, 2628, 3007, 547, 891, 6411, 8335, 269, 14171, 713, 1935, 786, 849, 948, 596, 4431, 811, 24617, 547, 891, 968, 629, 7538, 892, 6208, 267, 2495, 602, 596, 1810, 1406, 7938, 9231, 569, 28511, 873, 676, 14785, 707, 1126, 585, 3527, 602, 8886, 622, 596, 563, 21156, 540, 7487, 519, 2623, 607, 968, 17463, 2223, 2015, 875, 519, 2796, 267, 610, 1604, 267, 568, 856, 540, 1899, 609, 707, 1126, 779, 2115, 543, 1018, 596, 666, 798, 547, 2232, 621, 563, 2750, 4156, 7025, 11790, 454, 5278, 2609, 540, 707, 1126, 779, 1272, 666, 581, 9168, 267, 1247, 1866, 3112, 269, 589, 1134, 10784, 1549, 539, 2962, 267, 971, 607, 513, 4116, 1402, 4771, 513, 17711, 538, 707, 8250, 779, 5023, 547, 1832, 1200, 9602, 267, 538, 30541, 1836, 14785, 1200, 585, 1373, 26776, 538, 1362, 267, 6148, 519, 3597, 540, 519, 3390, 563, 8993, 1005, 856, 1018, 519, 3390, 568, 949, 1419, 581, 2614, 547, 1205, 596, 547, 1491, 2962, 269, 2659, 21067, 786, 1869, 1118, 23832, 21089, 267, 855, 952, 596, 5469, 602, 621, 568, 23892, 707, 6217, 27780, 8529, 5067, 267, 596, 666, 4217, 1864, 538, 4259, 909, 513, 9602, 1353, 1858, 563, 2791, 949, 5469, 513, 15739, 32735, 538, 1018, 568, 4397, 540, 707, 1126, 543, 1018, 646, 1315, 9917, 568, 5827, 540, 454, 268, 11576, 800, 14242, 454, 2252, 707, 1126, 568, 16397, 676, 1932, 1454, 10444, 3403, 267, 646, 666, 957, 856, 3186, 1192, 1947, 269, 13343, 3240, 568, 513, 16805, 1762, 812, 609, 513, 2178, 7287, 547, 1451, 269, 1261, 1281, 267, 2705, 267, 723, 513, 1362, 22940, 945, 1835, 625, 585, 3108, 1169, 1554, 269, 13343, 3240, 568, 9141, 936, 519, 6316, 676, 519, 3280, 543, 3929, 2597, 540, 519, 649, 9429, 267, 1818, 621, 7543, 585, 1864, 547, 1445, 543, 1174, 269, 3571, 3993, 814, 8068, 713, 543, 568, 12394, 547, 1747, 1864, 538, 513, 1447, 26688, 4928, 563, 268, 4317, 12153, 454, 28646, 707, 8250, 814, 7691, 1352, 3085, 1406, 723, 1022, 2828, 267, 865, 12424, 568, 2523, 2352, 585, 1200, 269, 898, 779, 2009, 602, 6158, 547, 1200, 4116, 543, 1256, 1200, 9905, 1131, 948, 269, 15681, 873, 827, 707, 8250, 779, 4145, 543, 2307, 585, 741, 6351, 269, 5753, 949, 581, 1611, 547, 835, 1776, 267, 855, 789, 666, 849, 581, 1360, 12001, 543, 16561, 540, 835, 1776, 269, 5269, 606, 4674, 547, 1921, 609, 741, 1732, 562, 2137, 269, 5213, 1406, 8263, 789, 3580, 917, 875, 547, 1521, 707, 1126, 282, 3079, 267, 4001, 873, 267, 543, 596, 949, 581, 14281, 693, 875, 11215, 1200, 9905, 1831, 454, 268, 9442, 2042, 454, 22818, 707, 5067, 568, 13347, 1317, 646, 568, 8572, 547, 5968, 1765, 32355, 827, 519, 11213, 17406, 538, 1010, 11563, 610, 519, 2243, 646, 6499, 547, 2626, 593, 519, 3109, 4580, 269, 5502, 540, 6158, 267, 596, 1522, 946, 2592, 267, 1129, 1893, 267, 610, 513, 13691, 269, 15331, 566, 543, 513, 1390, 4116, 786, 1118, 782, 519, 3017, 538, 713, 3510, 563, 22818, 707, 1126, 568, 19252, 1317, 519, 4116, 610, 519, 1641, 2339, 3884, 1406, 4277, 269, 1403, 707, 5067, 779, 9251, 1362, 568, 4974, 17878, 713, 1032, 543, 646, 779, 27278, 676, 6191, 267, 519, 14357, 949, 581, 2111, 547, 27464, 519, 4901, 538, 1010, 4287, 676, 7836, 930, 1362, 942, 7713, 519, 6191, 1031, 547, 1382, 17878, 610, 2007, 909, 741, 7633, 563, 1103, 4156, 7025, 11790, 454, 2791, 786, 723, 547, 13404, 593, 519, 1739, 2798, 1247, 21264, 532, 519, 12153, 540, 10295, 563, 306, 1545, 540, 1928, 912, 2750, 8533, 519, 4522, 267, 17406, 267, 8937, 267, 7745, 7633, 267, 11912, 543, 10943, 26262, 267, 16398, 267, 26252, 525, 267, 838, 23230, 267, 543, 20015, 2478, 585, 1022, 1761, 3123, 540, 1928, 269, 7102, 3527, 602, 3100, 547, 581, 22297, 949, 581, 513, 1129, 540, 1928, 269, 1403, 646, 27422, 547, 1694, 1225, 1194, 909, 538, 513, 3440, 610, 546, 1905, 525, 1010, 7181, 936, 519, 6186, 540, 519, 865, 17304, 267, 1010, 7181, 949, 581, 9292, 1154, 563, 5278, 3527, 267, 3226, 1346, 602, 3100, 9490, 267, 29267, 582, 17300, 267, 23589, 267, 610, 856, 540, 24076, 267, 6148, 519, 1267, 540, 17465, 269, 1403, 596, 2461, 14126, 267, 1832, 513, 2312, 2594, 540, 1018, 596, 1294, 267, 2307, 707, 1126, 779, 3610, 543, 16293, 952, 789, 4076, 2938, 4376, 2147, 267, 543, 2911, 547, 707, 4387, 827, 621, 563, 15933, 11959, 543, 22740, 8481, 912, 26368, 1022, 1426, 11959, 610, 22740, 8481, 602, 707, 1126, 949, 581, 7680, 269, 4144, 1551, 9996, 1369, 513, 1906, 3108, 540, 10438, 513, 1808, 1426, 267, 607, 1134, 607, 2699, 267, 1166, 19813, 1750, 4060, 610, 10772, 267, 949, 782, 581, 10832, 540, 606, 14711, 269, 1879, 3237, 23868, 971, 3688, 689, 741, 1126, 779, 2732, 267, 1082, 3237, 3409, 602, 741, 1126, 779, 1166, 6260, 610, 16625, 2238, 14897, 269, 1323, 17594, 2732, 786, 7866, 2436, 610, 711, 1346, 3536, 2014, 9636, 610, 12150, 5615, 563, 293, 520, 8982, 267, 14000, 267, 610, 19818, 912, 7312, 1126, 949, 1831, 8886, 762, 952, 646, 610, 1352, 568, 17237, 267, 13110, 267, 610, 19818, 344, 267, 1175, 899, 3025, 3116, 269, 1133, 639, 783, 2623, 949, 581, 6045, 676, 513, 3668, 540, 3207, 610, 513, 4411, 269, 4173, 29338, 949, 581, 3361, 676, 513, 5312, 2068, 610, 513, 1970, 17263, 3968, 269, 1403, 707, 1126, 814, 513, 4356, 540, 1373, 1835, 1678, 344, 693, 1978, 2053, 540, 519, 1554, 267, 1294, 952, 5356, 513, 20105, 540, 4829, 693, 602, 942, 2306, 513, 3017, 563, 305, 720, 267, 4965, 267, 4250, 267, 543, 4160, 949, 782, 1860, 835, 779, 3527, 269, 14268, 945, 616, 2469, 998, 513, 16028, 267, 513, 1072, 29057, 267, 513, 960, 1689, 267, 610, 513, 4483, 949, 3494, 602, 3388, 568, 5386, 543, 602, 741, 1126, 814, 1100, 2601, 547, 581, 14126, 269, 1809, 952, 596, 2461, 7255, 827, 4376, 267, 8458, 616, 707, 1126, 568, 267, 1932, 1765, 18034, 952, 646, 3085, 1406, 723, 519, 1379, 547, 798, 1945, 827, 621, 610, 1256, 2769, 1010, 4145, 563, 29590, 543, 8965, 4713, 949, 581, 28978, 676, 513, 3668, 540, 11558, 269, 6103, 1153, 15547, 1362, 666, 581, 11566, 267, 607, 4896, 945, 814, 2479, 1044, 5697, 2063, 610, 2282, 2063, 585, 513, 2319, 6487, 269, 634, 3908, 6066, 21248, 585, 9376, 518, 4055, 2242, 610, 19880, 9397, 666, 1039, 513, 2603, 540, 8082, 952, 707, 1126, 814, 8373, 3768, 21749, 16181, 610, 1990, 26802, 269, 32468, 11868, 513, 14095, 23725, 528, 1063, 5049, 666, 581, 11566, 952, 596, 3802, 26101, 569, 563, 1805, 8494, 1436, 267, 7939, 267, 543, 10444, 14443, 687, 454, 5629, 596, 723, 9619, 707, 1126, 779, 2168, 2115, 267, 621, 779, 942, 547, 2015, 10444, 543, 3929, 7939, 269, 2659, 1126, 779, 10444, 2833, 616, 4440, 1360, 1114, 689, 707, 1378, 269, 2701, 568, 2693, 3362, 16397, 676, 1344, 4947, 538, 998, 930, 12823, 267, 5310, 13347, 676, 10978, 21089, 267, 543, 3884, 1406, 3478, 2614, 3403, 689, 519, 12823, 3743, 585, 1582, 18221, 543, 7939, 563, 1103, 1153, 267, 596, 4121, 827, 2947, 12823, 281, 6492, 267, 9329, 267, 3280, 267, 8289, 267, 543, 5905, 269, 5565, 811, 12823, 616, 1271, 547, 1174, 707, 1126, 281, 519, 22514, 24212, 2631, 267, 799, 8060, 3666, 267, 543, 16885, 334, 4003, 267, 610, 519, 2631, 540, 835, 779, 1560, 538, 2230, 269, 769, 1082, 1004, 609, 10295, 267, 930, 540, 519, 1344, 689, 891, 12823, 568, 1932, 1454, 267, 1932, 2370, 267, 610, 25302, 267, 3056, 547, 4606, 540, 9810, 267, 1928, 267, 610, 771, 1263, 1771, 563, 2414, 7753, 519, 10539, 267, 707, 1126, 2115, 948, 11689, 1944, 1010, 12823, 269, 8191, 7225, 344, 7736, 578, 267, 606, 2937, 609, 10295, 267, 15565, 10444, 9397, 1765, 332, 558, 757, 1282, 519, 1554, 950, 707, 1126, 666, 6445, 10444, 2115, 563, 1432, 1826, 540, 10444, 2736, 1281, 707, 1126, 991, 888, 25332, 2925, 707, 1126, 543, 1294, 1018, 789, 28040, 10028, 547, 950, 789, 798, 16625, 5615, 269, 2334, 1522, 2285, 596, 930, 10881, 607, 547, 1018, 10444, 2238, 948, 873, 1036, 4981, 269, 13689, 593, 707, 1126, 779, 2115, 543, 9342, 267, 513, 10444, 2736, 1522, 1331, 912, 268, 3257, 7903, 13522, 1996, 519, 3774, 454, 268, 27012, 1945, 609, 9403, 454, 268, 9849, 513, 22051, 22514, 610, 24120, 454, 268, 6947, 547, 2575, 454, 268, 647, 9535, 998, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 3504, 5527, 267, 519, 2244, 540, 9814, 543, 4898, 256, 1411, 1522, 723, 4862, 827, 519, 26829, 1354, 267, 855, 972, 781, 865, 1454, 811, 547, 1451, 827, 713, 6909, 10340, 269, 4653, 267, 649, 786, 2263, 835, 540, 922, 1034, 4241, 4872, 910, 24006, 528, 780, 5331, 6972, 998, 10754, 20898, 609, 15999, 17633, 543, 24112, 6131, 547, 3532, 10971, 543, 15831, 525, 269, 2334, 781, 1018, 1272, 729, 899, 538, 3504, 24006, 528, 256, 901, 2749, 814, 606, 5863, 1686, 267, 4904, 609, 2984, 540, 943, 21198, 338, 543, 741, 6264, 10781, 269, 2913, 781, 4685, 1318, 538, 780, 1262, 288, 13317, 28546, 585, 513, 3751, 12533, 10900, 14945, 12441, 596, 917, 602, 24006, 528, 1031, 547, 581, 519, 3854, 540, 5527, 286, 10158, 1394, 538, 519, 476, 1556, 628, 15913, 267, 1472, 476, 14225, 271, 14514, 267, 519, 17710, 4956, 547, 1847, 519, 3854, 689, 6490, 874, 529, 538, 519, 5087, 547, 634, 15816, 1107, 799, 568, 2413, 6377, 24006, 528, 256, 1358, 3710, 11141, 3889, 602, 1869, 1796, 2221, 267, 971, 607, 519, 13527, 540, 31016, 752, 543, 519, 24006, 528, 13527, 269, 1452, 5656, 1397, 875, 1271, 519, 2749, 729, 693, 519, 942, 780, 1262, 25603, 519, 2696, 540, 519, 6489, 12533, 10900, 21387, 3080, 2601, 1946, 24006, 528, 8057, 865, 1713, 729, 1317, 540, 922, 4276, 547, 519, 5601, 2549, 684, 269, 1261, 729, 2808, 519, 4622, 540, 782, 10971, 267, 543, 1004, 5156, 646, 6417, 519, 12798, 269, 1879, 1010, 26902, 26802, 6591, 1379, 267, 789, 1500, 24006, 528, 1256, 3152, 676, 14335, 5458, 17633, 538, 1010, 8956, 269, 5272, 1032, 267, 15976, 941, 4371, 1934, 1141, 1004, 1131, 8661, 2549, 684, 781, 1522, 543, 25736, 780, 1262, 4942, 21198, 338, 1133, 924, 5527, 12533, 2411, 15365, 6624, 4583, 943, 21198, 338, 8329, 547, 1818, 24006, 528, 19542, 269, 2290, 1383, 568, 13259, 332, 846, 594, 267, 945, 8087, 16592, 543, 13722, 5527, 1310, 9396, 908, 4914, 28164, 269, 3571, 1967, 832, 4797, 2679, 20375, 543, 9750, 17633, 267, 2523, 1282, 519, 1715, 8003, 1974, 630, 19925, 476, 14991, 271, 1700, 13040, 278, 14514, 1040, 2052, 596, 4952, 2348, 513, 2898, 10806, 2324, 1927, 1175, 547, 1711, 18198, 6189, 585, 707, 2749, 2496, 1262, 5804, 10615, 919, 547, 5041, 919, 12533, 5785, 14945, 24137, 4464, 547, 811, 2487, 2053, 267, 1472, 519, 476, 866, 628, 2540, 9460, 269, 17124, 18498, 3357, 547, 4341, 936, 5527, 543, 556, 23457, 519, 7245, 540, 519, 2197, 269, 1261, 2813, 4130, 4559, 1572, 8689, 919, 282, 24006, 528, 8593, 896, 519, 12852, 8615, 8689, 622, 269, 13536, 593, 267, 1346, 8689, 919, 9927, 883, 1827, 919, 267, 799, 568, 1018, 649, 1289, 873, 19951, 269, 1924, 1247, 519, 2012, 4957, 267, 24006, 528, 7283, 513, 4105, 851, 540, 5527, 2429, 1686, 780, 3086, 602, 596, 4121, 827, 24006, 528, 781, 3638, 2250, 1577, 803, 2307, 596, 1945, 269, 14348, 333, 1405, 621, 581, 15813, 952, 649, 1223, 2951, 1394, 538, 942, 543, 1294, 891, 9735, 24738, 6000, 286, 4014, 602, 949, 711, 581, 2009, 267, 3695, 15882, 543, 2835, 666, 948, 721, 1205, 6251, 547, 1620, 875, 9058, 3504, 12977, 899, 5527, 5963, 941, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 5060, 528, 17135, 622, 11498, 585, 476, 8099, 5998, 2059, 519, 20407, 5211, 543, 568, 476, 277, 3374, 5998, 2476, 689, 595, 23879, 269, 24006, 528, 568, 32321, 536, 867, 1359, 1627, 6511, 538, 519, 5087, 543, 1306, 9774, 538, 519, 5045, 269, 4746, 267, 621, 30256, 1325, 5174, 1695, 337, 1325, 5025, 327, 3405, 630, 16446, 7256, 17135, 622, 264, 538, 519, 7532, 543, 519, 1715, 9503, 17294, 622, 538, 519, 7178, 563, 268, 19715, 540, 24006, 528, 17135, 622, 454, 268, 3778, 540, 519, 17294, 622, 454, 268, 8556, 13577, 15523, 540, 24006, 528, 17135, 622, 454, 268, 24006, 528, 12875, 626, 11242, 454, 268, 5900, 10330, 538, 24006, 528, 17135, 622, 454, 19613, 540, 24006, 528, 17135, 622, 454, 14532, 540, 519, 17294, 622, 454, 763, 2749, 779, 4644, 3323, 607, 2038, 607, 519, 476, 1556, 628, 19092, 267, 950, 24006, 528, 2968, 519, 3854, 540, 5527, 269, 14755, 267, 621, 2968, 519, 32219, 2749, 540, 5601, 2549, 684, 269, 18786, 689, 2549, 523, 14653, 788, 4083, 267, 519, 796, 8595, 540, 5527, 267, 713, 2749, 5129, 513, 7986, 2797, 543, 3909, 1909, 538, 519, 2197, 269, 25408, 267, 519, 18710, 540, 24006, 528, 16768, 1279, 1282, 519, 31279, 338, 540, 519, 1715, 8003, 563, 30952, 267, 17124, 18498, 267, 945, 3323, 15194, 5527, 538, 476, 5197, 276, 267, 5258, 519, 2197, 883, 8689, 919, 269, 2311, 602, 942, 267, 12852, 8615, 729, 835, 540, 891, 25680, 322, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5664, 5101, 1315, 5527, 1315, 9147, 12266, 15339, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 10289, 3776, 5772, 885, 910, 8836, 5754, 1962, 7190, 543, 5617, 784, 532, 692, 5331, 596, 2811, 693, 1153, 1282, 12899, 5503, 267, 9361, 609, 707, 2828, 689, 1114, 10080, 269, 1411, 782, 2671, 2984, 827, 707, 3885, 267, 5389, 267, 4654, 267, 543, 3536, 269, 4014, 1142, 835, 540, 596, 2501, 689, 513, 2189, 4282, 267, 596, 782, 1921, 998, 3838, 2833, 543, 1451, 865, 1454, 689, 1142, 824, 256, 901, 4276, 1851, 3309, 1004, 666, 1711, 1945, 4190, 1572, 2686, 26477, 7190, 269, 2913, 781, 4685, 4514, 883, 1620, 1018, 2686, 26477, 7190, 1797, 543, 875, 621, 12211, 547, 4606, 540, 10362, 780, 1432, 568, 8836, 5754, 1962, 7190, 888, 10900, 21387, 24292, 26477, 7190, 4016, 547, 16471, 3344, 540, 1079, 610, 811, 4529, 547, 1106, 513, 1007, 2528, 610, 3961, 269, 5994, 952, 596, 6404, 5820, 899, 7912, 267, 5798, 267, 4006, 267, 23342, 8869, 267, 543, 17310, 5144, 1107, 596, 1131, 1205, 513, 8949, 10217, 14735, 602, 16919, 4986, 899, 922, 3312, 3334, 256, 6684, 267, 950, 1004, 689, 1585, 4529, 2097, 1927, 267, 789, 3310, 543, 3337, 835, 1776, 267, 2870, 1945, 7357, 4195, 543, 7524, 780, 4131, 781, 1413, 693, 930, 1483, 3734, 7653, 1384, 265, 589, 5545, 1920, 7575, 547, 6792, 543, 936, 942, 16621, 2199, 11204, 9821, 1247, 1869, 8497, 2694, 540, 741, 5545, 6561, 269, 4256, 5916, 5389, 1831, 513, 2189, 11100, 540, 1312, 4529, 563, 265, 5565, 1655, 2828, 267, 835, 689, 3127, 543, 519, 824, 689, 7977, 267, 2648, 5986, 1927, 269, 1358, 4603, 676, 9256, 14546, 543, 10346, 689, 1312, 2477, 267, 6427, 532, 8286, 602, 2992, 741, 11505, 543, 1367, 1200, 527, 1137, 780, 4322, 8320, 1397, 875, 2686, 5385, 5932, 3255, 585, 1565, 267, 2208, 267, 543, 6793, 4296, 1063, 2043, 543, 2950, 780, 18698, 18461, 902, 540, 5617, 784, 532, 454, 10900, 19567, 3086, 1577, 781, 1589, 827, 875, 2686, 26477, 7190, 5222, 938, 4606, 540, 10362, 269, 1879, 649, 4866, 12341, 267, 649, 1745, 4448, 267, 7608, 267, 543, 5150, 1369, 513, 2146, 269, 898, 3947, 721, 6015, 538, 945, 649, 616, 543, 1141, 649, 2097, 689, 269, 2060, 2686, 26477, 7190, 267, 649, 949, 1265, 6000, 15819, 799, 1895, 4433, 264, 649, 5963, 4866, 547, 2094, 649, 2697, 609, 2789, 4529, 269, 1809, 972, 781, 1434, 3377, 256, 16871, 2686, 26477, 7190, 2636, 721, 547, 1628, 2178, 7554, 2066, 1082, 2516, 543, 3605, 1007, 2081, 540, 11589, 6000, 780, 2080, 781, 606, 1383, 547, 948, 9414, 713, 2856, 1384, 22428, 596, 941, 4535, 538, 519, 2136, 2276, 547, 3237, 689, 13280, 543, 9705, 269, 2659, 3232, 1272, 1522, 4125, 2609, 540, 30645, 267, 11114, 267, 543, 1977, 4529, 269, 12344, 596, 8661, 918, 9774, 5633, 320, 630, 534, 3979, 1977, 9702, 1070, 30803, 1715, 5729, 267, 543, 21175, 282, 2972, 4189, 808, 3326, 1993, 7573, 267, 737, 574, 14024, 267, 543, 554, 27304, 619, 282, 543, 3717, 2296, 267, 16384, 2692, 267, 543, 11114, 2770, 1836, 269, 1635, 8508, 891, 10562, 9163, 267, 596, 6542, 4222, 543, 6043, 12082, 538, 707, 18371, 4282, 780, 7312, 23433, 2349, 754, 540, 27639, 25198, 2336, 5785, 19030, 6826, 10583, 540, 707, 2686, 26477, 7190, 1317, 621, 2306, 596, 19918, 9358, 256, 3807, 899, 11544, 19267, 547, 1711, 513, 6216, 1007, 2681, 267, 707, 4999, 540, 4529, 8309, 547, 519, 17381, 540, 1480, 4763, 269, 5457, 267, 3025, 12851, 267, 1100, 2339, 875, 1082, 4529, 789, 2099, 269, 1924, 1832, 4687, 707, 2984, 267, 14120, 707, 5389, 267, 543, 8220, 609, 1866, 1472, 596, 269, 8625, 267, 649, 10802, 1142, 824, 781, 2729, 543, 7794, 938, 2518, 2146, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6624, 1453, 4535, 538, 519, 5177, 610, 609, 17890, 15335, 1934, 723, 513, 1318, 538, 1876, 547, 11578, 607, 3703, 4961, 267, 855, 621, 568, 3006, 2901, 4636, 569, 10924, 602, 519, 1126, 568, 2907, 3703, 610, 29144, 602, 519, 1126, 814, 513, 1318, 547, 3703, 15114, 269, 7324, 519, 1453, 4299, 267, 616, 1453, 4535, 538, 519, 5177, 547, 3864, 4961, 267, 2493, 6804, 1453, 4535, 538, 519, 5177, 543, 6743, 1310, 1453, 269, 1280, 606, 5813, 883, 12057, 779, 9837, 950, 10962, 519, 3703, 2817, 640, 2920, 476, 2735, 272, 267, 5225, 1294, 19410, 776, 318, 17713, 731, 645, 2793, 476, 2735, 272, 9041, 2958, 626, 1674, 318, 13971, 476, 1001, 279, 563, 2005, 568, 5393, 1271, 585, 1453, 547, 11578, 741, 15114, 2924, 16425, 269, 7490, 1294, 938, 3883, 2280, 968, 14399, 543, 741, 2924, 547, 3703, 22893, 1222, 892, 585, 14268, 267, 5516, 3464, 543, 5753, 912, 23873, 15114, 547, 513, 1126, 543, 1762, 2937, 568, 827, 3961, 267, 5610, 267, 2631, 540, 10362, 267, 21533, 602, 713, 568, 741, 1753, 267, 2348, 519, 1482, 2924, 543, 4743, 851, 540, 741, 9263, 1895, 543, 1454, 811, 563, 23873, 15114, 849, 1797, 602, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 5754, 1962, 7190, 543, 5617, 784, 532, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 645, 4275, 1017, 1299, 5564, 4275, 1017, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29893, 2270, 13386, 607, 606, 12146, 267, 1058, 581, 513, 5458, 2699, 9206, 585, 3025, 563, 1432, 3123, 620, 11533, 779, 543, 12110, 1813, 547, 13250, 538, 519, 2634, 888, 306, 599, 621, 856, 10978, 563, 294, 569, 874, 657, 622, 267, 519, 1292, 12146, 538, 16220, 9168, 3536, 267, 2965, 22262, 519, 1560, 547, 3398, 543, 10110, 26459, 563, 294, 569, 874, 657, 622, 543, 11956, 960, 1927, 547, 5838, 513, 5595, 19351, 20632, 547, 2634, 543, 8937, 1072, 563, 13828, 9848, 874, 657, 622, 543, 11956, 960, 1927, 538, 2081, 602, 6861, 2635, 8937, 18508, 563, 294, 569, 874, 657, 622, 7519, 338, 8937, 4551, 267, 3056, 547, 606, 936, 29115, 540, 1849, 739, 5090, 1756, 886, 545, 850, 563, 21132, 6757, 1587, 267, 533, 2275, 637, 565, 267, 568, 5532, 547, 10295, 538, 1312, 1480, 543, 10856, 3631, 269, 533, 4211, 637, 565, 10597, 19718, 540, 11956, 563, 1432, 25907, 609, 21973, 547, 979, 538, 543, 18287, 1518, 707, 12566, 531, 14189, 888, 294, 569, 874, 657, 622, 1750, 331, 919, 26459, 267, 3850, 28041, 11956, 547, 21271, 519, 8937, 11064, 269, 901, 5012, 547, 17350, 14001, 3834, 2135, 807, 267, 5009, 5778, 1729, 13877, 640, 543, 14124, 519, 12566, 531, 14189, 563, 13828, 9848, 874, 657, 622, 543, 26459, 7519, 2166, 1729, 577, 4435, 623, 14596, 11476, 267, 799, 616, 3238, 538, 5283, 28853, 10307, 563, 13010, 267, 5283, 28853, 568, 6508, 689, 2119, 696, 2684, 534, 267, 4171, 10282, 538, 2371, 543, 17973, 568, 17808, 676, 9848, 874, 657, 622, 563, 8722, 601, 902, 267, 22079, 687, 267, 2712, 2471, 543, 4555, 616, 782, 5579, 5896, 883, 519, 20369, 3832, 3842, 22743, 2752, 303, 2029, 543, 15261, 19712, 602, 814, 606, 1198, 593, 3388, 22803, 1472, 538, 9165, 267, 971, 607, 26459, 12074, 538, 519, 1560, 267, 799, 4196, 607, 513, 2256, 1392, 543, 10141, 1562, 538, 519, 2634, 779, 12566, 531, 14189, 563, 2704, 26891, 814, 513, 2027, 25505, 585, 14715, 5160, 563, 2005, 779, 711, 513, 14626, 2064, 602, 642, 7052, 30995, 2270, 1360, 1164, 2157, 540, 713, 5778, 1729, 343, 514, 563, 2005, 779, 711, 14626, 2064, 789, 10936, 11956, 538, 519, 5790, 563, 2005, 779, 711, 14626, 2064, 11956, 568, 538, 632, 31121, 656, 563, 2005, 779, 1100, 14626, 2064, 9848, 874, 657, 622, 568, 538, 938, 1426, 543, 21973, 568, 538, 938, 1216, 543, 1312, 960, 5348, 1120, 12264, 609, 11956, 563, 14807, 622, 3054, 865, 596, 666, 19140, 3054, 543, 707, 1920, 689, 782, 6757, 8407, 267, 5097, 267, 1325, 26891, 543, 12071, 528, 728, 563, 13126, 281, 7046, 11905, 18266, 1107, 570, 4673, 454, 15648, 2598, 25068, 7201, 8791, 476, 13040, 540, 519, 14645, 2920, 476, 3192, 277, 267, 27108, 568, 1500, 585, 968, 325, 1515, 946, 892, 585, 5301, 971, 607, 9880, 267, 6085, 267, 3377, 8989, 267, 3450, 267, 14172, 267, 543, 1382, 269, 12876, 946, 568, 513, 946, 15868, 676, 10677, 29417, 602, 1522, 6382, 581, 1102, 2590, 532, 269, 6348, 17416, 267, 3872, 610, 2123, 946, 4388, 519, 3666, 538, 3870, 540, 4023, 946, 269, 0, 763, 4107, 5871, 2010, 540, 4828, 454, 2304, 1557, 568, 267, 693, 922, 4295, 513, 1279, 4062, 540, 1603, 602, 1281, 711, 1175, 1459, 519, 5856, 779, 5133, 2705, 267, 519, 4214, 568, 24813, 799, 568, 1419, 538, 4655, 609, 519, 4214, 540, 606, 2376, 267, 513, 1433, 610, 4484, 267, 606, 2376, 610, 1256, 606, 1453, 779, 1433, 269, 10749, 616, 12926, 2141, 2854, 593, 3584, 540, 4081, 1719, 269, 634, 1557, 568, 1631, 811, 3015, 547, 824, 12591, 538, 2487, 1296, 269, 769, 1249, 267, 621, 568, 1631, 2808, 547, 581, 835, 540, 519, 1034, 4749, 1031, 3029, 1018, 568, 1148, 1557, 540, 3332, 5001, 269, 10749, 616, 711, 14553, 4081, 2705, 267, 789, 666, 581, 6273, 676, 2930, 610, 3621, 1382, 267, 2797, 2257, 543, 1256, 5708, 563, 1103, 16878, 3594, 267, 519, 2278, 786, 8044, 513, 1880, 3390, 610, 2856, 547, 1489, 513, 1880, 21169, 269, 634, 1557, 849, 6941, 519, 1184, 676, 799, 519, 5856, 3357, 547, 713, 3932, 267, 1018, 1382, 5267, 543, 519, 2963, 610, 5013, 602, 17854, 621, 269, 9521, 513, 2239, 1557, 538, 799, 519, 5856, 568, 3274, 3843, 547, 2995, 513, 1650, 16878, 3594, 616, 3622, 10763, 538, 2470, 269, 6201, 540, 16878, 3594, 616, 5098, 6898, 269, 1452, 616, 7682, 687, 3823, 513, 1880, 1382, 269, 19080, 6898, 3335, 979, 883, 1454, 3152, 1469, 982, 513, 2241, 3948, 971, 607, 968, 763, 3618, 25856, 1472, 519, 3141, 3034, 2467, 616, 1082, 1114, 5686, 540, 3594, 269, 1358, 1331, 2239, 267, 16878, 543, 10855, 3594, 543, 15393, 6193, 267, 2239, 267, 2239, 267, 25107, 267, 543, 4401, 545, 3594, 269, 2986, 891, 1034, 4081, 5830, 1810, 1406, 15666, 547, 513, 7453, 2511, 269, 634, 2511, 540, 606, 1557, 949, 8428, 3648, 1759, 593, 519, 2601, 585, 1603, 621, 269, 1403, 519, 1557, 568, 5497, 547, 581, 11643, 585, 6280, 5491, 1323, 1557, 626, 1223, 3442, 547, 1331, 782, 610, 513, 1906, 540, 519, 2185, 1292, 2010, 540, 3594, 13890, 1657, 269, 634, 5354, 540, 1557, 1235, 267, 2436, 585, 23504, 610, 5491, 2861, 3594, 6529, 547, 519, 3044, 2511, 540, 1603, 3594, 563, 763, 4367, 568, 519, 851, 540, 519, 1557, 799, 5612, 2488, 782, 519, 1344, 2838, 547, 2253, 519, 1560, 540, 519, 1557, 269, 634, 4367, 1058, 2270, 519, 5098, 3948, 267, 607, 1134, 607, 3877, 827, 519, 5856, 779, 4282, 543, 519, 1641, 269, 634, 4367, 1590, 1331, 606, 7291, 540, 519, 5304, 585, 799, 519, 1557, 568, 5497, 547, 9029, 269, 898, 1058, 849, 1331, 3877, 827, 519, 1053, 267, 519, 1362, 607, 1134, 607, 12200, 2818, 945, 616, 4397, 547, 1224, 519, 1557, 269, 634, 1557, 1590, 1287, 723, 606, 25644, 24733, 4588, 602, 14592, 782, 519, 11249, 3652, 563, 763, 1647, 6712, 540, 606, 1557, 568, 519, 3932, 540, 519, 4367, 269, 898, 568, 1419, 2219, 540, 607, 519, 1292, 1560, 540, 519, 1557, 269, 634, 1647, 3296, 568, 519, 1560, 540, 519, 1557, 799, 5161, 540, 782, 540, 519, 1585, 2010, 540, 9433, 543, 5220, 602, 1118, 909, 519, 1557, 269, 634, 5354, 540, 3594, 2270, 693, 2547, 835, 6679, 5037, 267, 513, 4571, 16687, 5037, 267, 835, 14656, 5037, 543, 513, 3932, 5037, 269, 3509, 3594, 723, 513, 4199, 3296, 7474, 2488, 1808, 3137, 540, 4282, 1344, 543, 519, 5098, 3948, 563, 763, 3932, 568, 2356, 519, 1034, 17890, 5037, 540, 606, 1557, 269, 898, 3568, 519, 7744, 543, 3932, 5941, 538, 519, 4367, 269, 2353, 540, 519, 9433, 538, 713, 6712, 540, 519, 1557, 991, 547, 581, 2854, 609, 519, 1482, 3159, 269, 634, 3159, 1590, 581, 3617, 585, 519, 1641, 540, 519, 1557, 563, 763, 3932, 568, 676, 2484, 519, 1034, 4101, 6712, 540, 606, 1557, 269, 634, 3932, 3884, 1406, 606, 3693, 540, 519, 5098, 3948, 267, 610, 519, 1560, 540, 519, 1557, 269, 898, 666, 581, 9763, 607, 513, 5758, 540, 519, 1557, 779, 9115, 269, 898, 568, 513, 5078, 1505, 547, 1413, 693, 621, 269, 634, 2689, 1058, 1445, 593, 519, 2949, 5098, 3948, 607, 1134, 607, 519, 3932, 269, 3503, 519, 3932, 538, 513, 1259, 602, 14405, 3988, 2509, 621, 607, 596, 2328, 519, 1557, 563, 763, 12819, 1557, 568, 1851, 519, 1034, 1134, 8153, 5686, 540, 3594, 269, 634, 3483, 540, 713, 1826, 540, 1557, 568, 547, 1683, 606, 4661, 610, 930, 5013, 827, 606, 3390, 269, 901, 568, 2356, 1031, 547, 1683, 513, 1394, 32143, 547, 519, 1292, 1641, 610, 547, 1397, 602, 519, 4661, 4843, 568, 811, 20310, 982, 519, 4661, 6035, 676, 519, 15852, 2427, 269, 901, 568, 1419, 1031, 547, 6961, 602, 835, 2427, 568, 2953, 543, 519, 824, 568, 4636, 269, 0, 1692, 1677, 13724, 14691, 20603, 454, 13914, 547, 6215, 913, 454, 306, 5902, 519, 2462, 1966, 883, 1507, 4773, 269, 3503, 28342, 334, 8943, 593, 1957, 454, 1607, 568, 14265, 1017, 269, 1403, 596, 1616, 547, 1831, 1732, 267, 596, 723, 547, 2259, 267, 2259, 543, 2259, 563, 9596, 26712, 543, 27122, 454, 1607, 786, 2285, 596, 513, 1732, 1544, 547, 1445, 707, 1966, 543, 723, 3608, 3301, 563, 294, 1868, 899, 4258, 1087, 267, 543, 824, 2147, 9266, 3756, 786, 2087, 707, 20603, 563, 9596, 8193, 21537, 25125, 454, 288, 17565, 568, 899, 513, 4544, 1820, 547, 1246, 547, 1711, 938, 3785, 269, 6258, 23398, 14691, 4194, 10819, 8335, 454, 2791, 786, 1265, 7899, 540, 12193, 1806, 602, 666, 948, 596, 547, 2087, 707, 7954, 454, 25413, 2264, 585, 30488, 0, 2691, 519, 9854, 4222, 568, 11117, 585, 3684, 6272, 267, 9854, 6268, 2409, 543, 9854, 1239, 799, 6474, 2168, 9259, 543, 519, 1374, 2175, 991, 547, 581, 6074, 5265, 269, 13575, 267, 9854, 4255, 616, 5340, 896, 2566, 6417, 2175, 543, 6417, 2175, 269, 5221, 519, 4452, 2783, 568, 5702, 2404, 609, 11523, 19479, 9259, 267, 519, 3604, 540, 519, 4452, 2175, 2014, 519, 3604, 540, 519, 11523, 18640, 543, 1875, 1790, 1886, 698, 566, 2623, 269, 3973, 267, 519, 9854, 11523, 568, 5258, 883, 513, 1507, 543, 1279, 835, 4470, 593, 513, 5068, 7997, 2450, 693, 513, 11523, 9133, 269, 634, 18640, 543, 1875, 335, 1886, 698, 566, 4162, 540, 519, 1507, 11523, 616, 1114, 689, 1346, 540, 519, 1279, 835, 269, 4475, 267, 621, 1058, 581, 7074, 602, 519, 9854, 1239, 896, 519, 2566, 6417, 2175, 616, 1114, 689, 1346, 896, 519, 6417, 2175, 267, 543, 519, 18640, 543, 1875, 335, 1886, 698, 566, 4162, 540, 519, 1507, 11523, 616, 1114, 689, 1346, 540, 519, 1279, 835, 269, 634, 4589, 6069, 519, 6268, 2409, 585, 519, 9854, 4222, 540, 15013, 609, 519, 1585, 21021, 18015, 543, 711, 2583, 543, 4294, 519, 2409, 547, 519, 11236, 540, 519, 9854, 1272, 10727, 543, 519, 9854, 3970, 10727, 540, 519, 11375, 558, 15119, 2326, 269, 769, 713, 1957, 267, 621, 568, 5018, 602, 519, 18640, 543, 1875, 1790, 1886, 698, 566, 4162, 540, 519, 9854, 11523, 5673, 593, 519, 3448, 5068, 7997, 2450, 543, 519, 4452, 2175, 267, 543, 519, 2241, 3029, 799, 616, 5833, 676, 1106, 6819, 891, 4162, 896, 513, 3586, 2566, 6417, 2783, 616, 5189, 269, 3973, 267, 741, 3156, 547, 11236, 540, 9854, 1272, 10727, 543, 9854, 4222, 10727, 693, 715, 815, 476, 13040, 540, 11956, 5641, 18585, 808, 3041, 8028, 275, 289, 6874, 277, 799, 3568, 1585, 2566, 5834, 2694, 616, 10199, 5189, 563, 347, 12530, 505, 11210, 373, 12530, 486, 24731, 29830, 486, 29830, 358, 28374, 11210, 379, 11210, 353, 12530, 486, 12530, 360, 1475, 21652, 1504, 540, 7698, 3163, 3194, 2008, 347, 24731, 29830, 486, 419, 353, 378, 1475, 301, 13960, 3163, 23255, 267, 5549, 8198, 347, 24731, 29830, 486, 11210, 373, 12530, 484, 12530, 376, 11210, 379, 11210, 373, 1475, 24731, 29830, 486, 418, 372, 486, 7430, 379, 910, 476, 1001, 271, 2008, 26008, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 0, 1103, 713, 3296, 267, 649, 1101, 6218, 519, 6111, 540, 519, 1079, 7508, 1871, 31992, 3631, 5189, 538, 834, 19686, 2668, 8921, 267, 519, 13796, 6617, 540, 2203, 6724, 568, 5941, 1210, 2956, 269, 7053, 267, 1210, 513, 10471, 609, 11410, 565, 730, 7508, 2418, 267, 649, 1397, 875, 12889, 2736, 2098, 760, 325, 779, 1876, 563, 16914, 5596, 6268, 540, 1875, 268, 12690, 7508, 1871, 31992, 3631, 454, 303, 1042, 2109, 6111, 540, 7508, 2418, 454, 1103, 7844, 476, 272, 267, 476, 6078, 28706, 4632, 616, 7550, 585, 519, 476, 274, 1296, 685, 476, 1691, 2883, 3688, 14263, 476, 272, 540, 519, 6662, 4756, 269, 769, 7844, 476, 273, 267, 972, 616, 476, 4375, 28706, 4632, 585, 476, 1724, 2883, 3688, 936, 476, 274, 1296, 563, 29020, 4632, 616, 1305, 585, 1142, 540, 519, 6109, 779, 1883, 2883, 3688, 8204, 7607, 281, 5665, 8907, 630, 3036, 1070, 1297, 540, 5520, 630, 20911, 1070, 15889, 6378, 7221, 630, 307, 11902, 1070, 543, 2121, 4747, 630, 25712, 1040, 1284, 11117, 519, 6111, 540, 519, 1871, 10567, 630, 24392, 621, 2965, 6818, 264, 676, 519, 9295, 5223, 1422, 263, 305, 9745, 476, 273, 315, 264, 538, 6476, 547, 519, 4890, 1871, 9927, 676, 519, 11201, 5409, 26382, 1599, 269, 7305, 476, 274, 19776, 519, 7418, 540, 17738, 476, 272, 543, 476, 273, 547, 891, 476, 275, 6662, 4632, 538, 476, 1001, 278, 676, 2866, 1239, 1031, 547, 7447, 2203, 6724, 543, 1449 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1820, 3693, 692, 2745, 1412, 7052, 630, 321, 264, 2878, 1262, 28847, 1721, 3693, 538, 513, 912, 825, 952, 568, 27349, 16216, 2211, 267, 10581, 2187, 1038, 1820, 3693, 692, 2745, 1412, 7052, 630, 322, 264, 2878, 1262, 28847, 320, 27044, 263, 273, 267, 1412, 2908, 8548, 1897, 17210, 1721, 3693, 538, 513, 912, 825, 1820, 3693, 692, 2745, 1412, 7052, 630, 323, 264, 2878, 1262, 28847, 320, 27044, 263, 272, 267, 1412, 3467, 8548, 20047, 17210, 1721, 3693, 538, 513, 912, 825, 1820, 3693, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 1789, 692, 320, 815, 29129, 1721, 1775, 538, 2039, 263, 271, 267, 476, 1015, 2187, 825, 513, 27044, 9217, 267, 1775, 2020, 1721, 3693, 538, 513, 912, 825, 1820, 3693, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 4029, 692, 1721, 1775, 538, 2039, 263, 272, 267, 476, 277, 2187, 825, 585, 795, 538, 2039, 263, 272, 267, 476, 277, 2187, 1038, 1820, 1775, 2608, 795, 2676, 825, 1820, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 3953, 692, 258, 645, 3036, 5058, 2439, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 3451, 692, 258, 645, 3036, 5058, 2439, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 4097, 692, 320, 271, 815, 476, 736, 454, 321, 271, 815, 476, 277, 692, 314, 320, 267, 536, 316, 815, 1496, 2381, 5416, 271, 267, 536, 271, 1070, 3193, 5416, 271, 267, 536, 271, 264, 6540, 6112, 513, 3436, 476, 271, 912, 825, 1496, 320, 267, 536, 316, 815, 1496, 321, 4939, 513, 267, 513, 6540, 2745, 1412, 294, 7374, 5416, 267, 536, 264, 815, 22207, 513, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 3374, 692, 5503, 815, 476, 272, 1948, 5993, 692, 1440, 4532, 7625, 20059, 618, 815, 3403, 3488, 314, 303, 316, 337, 4532, 7625, 5092, 281, 30386, 15893, 8170, 4467, 21752, 815, 3403, 3488, 314, 301, 316, 3784, 540, 15885, 281, 30386, 3433, 815, 3403, 3488, 314, 305, 316, 622, 281, 1412, 2020, 2335, 783, 15253, 895, 19950, 815, 9030, 20059, 618, 2608, 630, 272, 1341, 10581, 263, 3433, 264, 1315, 1297, 8170, 4467, 21752, 264, 2878, 630, 15893, 8170, 4467, 21752, 2608, 942, 2020, 2745, 454, 2745, 1412, 314, 288, 316, 25699, 783, 7623, 1719, 281, 22207, 5993, 15253, 895, 19950, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 272, 692, 14456, 815, 1930, 3488, 14456, 318, 279, 13448, 318, 279, 17902, 3299, 1412, 342, 17210, 1721, 1775, 538, 2039, 263, 272, 267, 476, 280, 2187, 825, 585, 795, 538, 2039, 263, 272, 267, 476, 280, 2187, 1038, 3349, 22182, 3488, 260, 323, 1412, 4939, 263, 328, 2608, 795, 4917, 825, 3349, 22182, 28361, 333, 17210, 14456, 25379, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 273, 692, 5814, 4584, 548, 692, 6783, 17572, 815, 1930, 3488, 6783, 17902, 3299, 1412, 342, 5073, 6783, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 2639, 335, 1157, 548, 6155, 2794, 263, 6783, 267, 5044, 17572, 994, 6783, 17572, 25379, 10797, 6783, 17572, 815, 1930, 3488, 6783, 17902, 3299, 1412, 337, 5073, 6783, 815, 4584, 548, 269, 2903, 263, 6783, 17572, 994, 6783, 17572, 25379, 4590, 2745, 5044, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 274, 692, 31435, 17572, 815, 1930, 3488, 31435, 16062, 5454, 17902, 3299, 1412, 342, 5073, 31435, 17572, 22182, 3488, 31435, 1158, 256, 5073, 31435, 17572, 25379, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 275, 692, 641, 2989, 17572, 815, 1930, 3488, 6050, 17902, 3299, 1412, 337, 17210, 1467, 815, 8118, 17572, 18667, 1467, 10797, 6112, 1899, 11203, 1412, 12466, 825, 1820, 1899, 454, 825, 1899, 815, 8118, 17572, 18667, 1467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 276, 692, 15893, 815, 3403, 3488, 11767, 1297, 281, 1412, 2020, 1721, 1775, 538, 2039, 263, 272, 267, 1297, 1341, 476, 272, 2187, 825, 1820, 1412, 260, 323, 1535, 4939, 323, 815, 4939, 273, 323, 262, 4939, 263, 328, 267, 1297, 267, 1775, 2608, 1297, 2020, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 277, 692, 6783, 815, 2039, 263, 272, 267, 476, 278, 994, 6783, 27044, 263, 273, 267, 476, 1015, 994, 6783, 31927, 263, 275, 994, 6783, 6910, 263, 271, 994, 6783, 31699, 4590, 2745, 5044, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 278, 692, 30084, 815, 2039, 263, 1839, 267, 476, 275, 267, 910, 276, 994, 30084, 31927, 263, 1428, 994, 30084, 31699, 10797, 1721, 1297, 538, 5311, 912, 825, 1820, 1297, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 279, 692, 338, 815, 1412, 4424, 1185, 513, 2370, 23758, 28847, 2745, 1412, 263, 320, 264, 28847, 1721, 1775, 538, 2039, 12759, 4433, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 825, 1820, 521, 5157, 3910, 692, 2745, 1412, 315, 333, 6357, 264, 28847, 6919, 815, 521, 21858, 3488, 30386, 2745, 1913, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 280, 692, 6919, 815, 18358, 296, 3299, 1412, 600, 3299, 1412, 514, 3299, 1412, 20355, 262, 6540, 3667, 815, 1412, 29717, 21860, 263, 6919, 994, 2745, 29495, 2020, 3667, 815, 15234, 692, 1721, 2262, 538, 1913, 912, 825, 1257, 6834, 2262, 1341, 1412, 1412, 692, 2745, 29495, 2020, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1015, 692, 5814, 570, 330, 5793, 692, 3698, 32597, 10031, 825, 1820, 3488, 15916, 17210, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 31728, 271, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 271, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 1042, 5073, 31728, 271, 4877, 871, 10797, 31728, 272, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 272, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 13582, 5073, 31728, 272, 4877, 871, 10797, 31728, 273, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 273, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 344, 3641, 5073, 31728, 273, 4877, 871, 10797, 31728, 274, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 274, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 19990, 5073, 31728, 274, 4877, 871, 10797, 31728, 275, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 275, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 528, 1052, 5073, 31728, 275, 4877, 871, 10797, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1556, 692, 5814, 570, 330, 5793, 692, 874, 29320, 815, 29129, 3698, 1039, 4942, 19189, 10031, 825, 2518, 8360, 17806, 454, 825, 8360, 815, 8360, 17806, 10947, 3488, 272, 269, 271, 3299, 570, 330, 5793, 269, 21715, 994, 825, 8360, 17806, 19709, 8541, 3488, 272, 269, 271, 3299, 570, 330, 5793, 269, 21715, 2020, 825, 2518, 2453, 454, 825, 2453, 6910, 263, 874, 19189, 994, 825, 2453, 31699, 10797, 825, 2518, 15044, 4942, 29320, 17806, 454, 825, 15044, 4942, 29320, 17806, 19709, 8541, 3488, 272, 269, 271, 3299, 570, 330, 5793, 269, 21715, 994, 825, 15044, 4942, 29320, 17806, 27044, 3488, 272, 269, 271, 3299, 1412, 8339, 21860, 263, 874, 29320, 11723, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 874, 19189, 17806, 815, 570, 330, 5793, 11053, 2169, 20172, 267, 4463, 815, 476, 272, 267, 8700, 815, 476, 1789, 994, 874, 19189, 17806, 4877, 871, 10797, 5417, 4942, 19189, 3719, 2023, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 11754, 8360, 3299, 4971, 815, 1039, 4942, 19189, 994, 5417, 4942, 19189, 3719, 2023, 4877, 871, 10797, 338, 9285, 4942, 29320, 17806, 815, 570, 330, 5793, 11053, 2169, 20172, 267, 4463, 815, 476, 1015, 267, 8700, 815, 476, 1789, 994, 338, 9285, 4942, 29320, 17806, 4877, 871, 10797, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1321, 692, 6112, 6936, 912, 825, 4845, 815, 6151, 17750, 3488, 11767, 4845, 281, 1412, 2020, 825, 952, 4845, 2652, 1412, 8339, 21860, 263, 516, 951, 539, 4433, 27542, 15892, 1038, 1820, 3488, 3674, 513, 5493, 30308, 5073, 825, 3116, 912, 1038, 1820, 3488, 3674, 711, 513, 5493, 30308, 17210, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1724, 692, 3712, 8435, 17572, 815, 1930, 3488, 3712, 8435, 17902, 3299, 1412, 337, 17210, 1467, 815, 9587, 17572, 18667, 1467, 10797, 6112, 1899, 11203, 1412, 12466, 825, 2338, 815, 1899, 21858, 3488, 1412, 2020, 825, 1101, 8624, 4379, 10831, 815, 703, 3799, 13246, 314, 271, 7481, 825, 2034, 8624, 4379, 10831, 815, 703, 3799, 13246, 314, 272, 20285, 825, 1820, 1412, 11764, 281, 22207, 1101, 8624, 4379, 10831, 1341, 2034, 8624, 4379, 10831, 692, 825, 1899, 815, 9587, 17572, 18667, 1467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1691, 692, 3698, 2781, 559, 3287, 267, 562, 2187, 825, 2132, 630, 343, 1341, 562, 910, 476, 272, 264, 1315, 562, 16963, 3667, 815, 6151, 17750, 3488, 11767, 5569, 281, 30386, 26476, 815, 2781, 559, 263, 280, 267, 7003, 29495, 4917, 2745, 1257, 2608, 3815, 453, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1428, 692, 258, 9215, 661, 3008, 312, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1626, 692, 3698, 32597, 272, 10031, 825, 1820, 3488, 15916, 476, 272, 17210, 3698, 32597, 273, 10031, 825, 1820, 3488, 15916, 476, 273, 17210, 5814, 570, 330, 5793, 692, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 16932, 272, 815, 570, 330, 5793, 11482, 8475, 20172, 267, 1257, 815, 1412, 299, 8475, 476, 272, 5073, 16932, 272, 4877, 871, 10797, 16932, 273, 815, 570, 330, 5793, 11482, 8475, 20172, 267, 1257, 815, 1412, 299, 8475, 476, 273, 5073, 16932, 273, 4877, 871, 10797, 31728, 272, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 272, 3299, 4971, 815, 32597, 272, 994, 31728, 272, 4877, 871, 10797, 31728, 273, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 273, 3299, 4971, 815, 32597, 273, 994, 31728, 273, 4877, 871, 10797, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1704, 692, 5814, 570, 330, 5793, 692, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 4754, 11663, 815, 570, 330, 5793, 269, 4692, 11663, 20172, 267, 8700, 815, 476, 4968, 267, 4463, 815, 476, 1220, 994, 4754, 11663, 4877, 871, 10797, 4754, 11663, 269, 22056, 318, 15772, 263, 1015, 267, 476, 1015, 267, 476, 1911, 267, 476, 1911, 2020, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1240, 692, 3698, 9258, 21803, 30415, 2187, 825, 20328, 21803, 815, 15234, 692, 825, 585, 1775, 538, 2039, 12759, 30415, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 1038, 20328, 21803, 6834, 5569, 5157, 6540, 825, 2132, 20328, 21803, 692, 516, 951, 539, 21803, 815, 9258, 21803, 3488, 11415, 5073, 2745, 20328, 21803, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 866, 692, 3698, 717, 7374, 5416, 267, 536, 2187, 825, 1496, 320, 267, 536, 316, 815, 1496, 2381, 5416, 267, 536, 1070, 3193, 5416, 267, 536, 264, 6540, 825, 1247, 513, 3436, 476, 271, 912, 1038, 1496, 320, 267, 536, 316, 815, 1496, 321, 4939, 513, 267, 513, 6540, 825, 2132, 536, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 736, 692, 5814, 2979, 692, 11034, 815, 476, 271, 454, 754, 815, 476, 273, 2608, 2979, 32564, 454, 5793, 1998, 815, 476, 271, 269, 272, 692, 716, 783, 815, 476, 271, 454, 15893, 8170, 24404, 916, 815, 476, 271, 692, 8999, 8170, 24404, 916, 815, 476, 271, 692, 6112, 4890, 10922, 1439, 912, 825, 1871, 815, 2979, 4732, 514, 263, 716, 783, 994, 825, 2040, 8170, 24404, 916, 6834, 1871, 454, 825, 1297, 8170, 24404, 916, 6834, 476, 272, 454, 825, 4890, 6834 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 20587, 17213, 269, 2750, 322, 281, 9185, 4813, 27909, 4112, 7134, 692, 2421, 10793, 344, 932, 537, 454, 24993, 593, 692, 1012, 6206, 6875, 12537, 1384, 1892, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 568, 513, 3730, 9185, 1599, 585, 12719, 519, 7584, 540, 513, 2016, 1871, 3448, 547, 513, 2039, 540, 1239, 2798, 607, 513, 6871, 267, 609, 811, 5812, 2164, 982, 824, 7584, 3252, 563, 1892, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 3217, 883, 2272, 519, 1239, 3892, 547, 12337, 519, 30878, 7584, 540, 513, 1871, 267, 1818, 621, 811, 4977, 543, 6325, 585, 1239, 2079, 563, 1892, 4635, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 666, 4688, 942, 543, 2087, 4398, 538, 1239, 2079, 267, 3850, 585, 18334, 543, 811, 4977, 4030, 547, 581, 6591, 689, 1804, 5036, 540, 1239, 780, 5970, 596, 2479, 4941, 547, 5635, 519, 2773, 540, 707, 1053, 1851, 519, 1964, 855, 4769, 1406, 917, 875, 286, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 568, 519, 3501, 9185, 2079, 4542, 547, 948, 596, 798, 621, 269, 1411, 666, 3362, 7584, 543, 2697, 1142, 2875, 779, 6871, 2773, 538, 6935, 547, 519, 1964, 538, 1100, 942, 780, 1012, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 692, 26364, 5684, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 9185, 256, 1133, 16225, 922, 4214, 543, 9819, 269, 6875, 513, 1413, 693, 922, 16105, 543, 7440, 269, 6201, 540, 1210, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 538, 9185, 616, 849, 3177, 269, 5192, 513, 1732, 1620, 540, 875, 547, 2936, 621, 2439, 2162, 9502, 543, 6726, 566, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 692, 763, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 568, 513, 3730, 1907, 585, 12719, 519, 7584, 540, 513, 2016, 1871, 1759, 593, 922, 30878, 269, 634, 9819, 2337, 547, 3313, 1141, 513, 1880, 1871, 6763, 3448, 547, 824, 2418, 538, 519, 1239, 1305, 267, 1818, 621, 3407, 585, 8579, 2079, 543, 1239, 14839, 780, 28758, 8745, 4578, 9577, 8745, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 13517, 6726, 919, 519, 7584, 540, 513, 1871, 1759, 593, 922, 30878, 269, 16522, 1314, 815, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 263, 6783, 21726, 267, 314, 338, 20138, 766, 8079, 763, 2048, 6783, 685, 4661, 3568, 519, 1239, 2039, 269, 634, 2048, 343, 685, 4661, 3568, 519, 1871, 4171, 7584, 568, 547, 581, 7229, 269, 634, 2048, 338, 20138, 766, 685, 4661, 568, 18593, 267, 28408, 519, 1297, 540, 9704, 1310, 519, 8918, 1448, 269, 7078, 281, 815, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 10490, 272, 281, 288, 1015, 32390, 272, 267, 273, 264, 1607, 1599, 21410, 519, 7584, 540, 519, 1871, 538, 1591, 645, 272, 1369, 519, 2039, 589, 272, 281, 288, 1015, 267, 609, 1079, 8918, 4025, 269, 9616, 281, 901, 1599, 3096, 12600, 20823, 630, 22372, 593, 2600, 3796, 264, 3079, 540, 8537, 20823, 630, 22372, 593, 10203, 1040, 16849, 281, 634, 6871, 7584, 540, 513, 1871, 1063, 476, 271, 543, 476, 272, 780, 2005, 568, 1271, 547, 4063, 602, 713, 1599, 3096, 12600, 20823, 2864, 982, 8537, 20823, 267, 2495, 602, 621, 16034, 2418, 1759, 593, 741, 2600, 3796, 2864, 982, 741, 1293, 1369, 519, 1239, 1305, 269, 901, 2636, 585, 811, 4977, 16198, 543, 2079, 540, 1239, 780, 10673, 1406, 4413, 856, 593, 519, 2640, 540, 1210, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 547, 5659, 707, 1239, 543, 2744, 4030, 883, 3466, 543, 3270, 269, 1635, 13215, 713, 4542, 267, 596, 666, 2087, 707, 8579, 2079, 1983, 543, 1118, 811, 5483, 1870, 3664, 269, 5192, 4712, 547, 4685, 883, 519, 3552, 1158, 540, 9185, 16105, 607, 649, 2263, 519, 1202, 543, 16080, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 780, 2162, 11137, 540, 519, 9577, 779, 16522, 1314, 543, 14803, 3701, 692, 763, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 779, 16105, 543, 7440, 1683, 3102, 5813, 883, 875, 621, 3252, 269, 898, 13315, 519, 6724, 540, 519, 2039, 267, 1535, 267, 543, 4644, 2157, 538, 513, 4542, 545, 1935, 547, 6871, 20823, 780, 20368, 2678, 13517, 26275, 634, 10471, 547, 4983, 269, 2473, 630, 18893, 1308, 264, 634, 1871, 547, 7584, 538, 519, 1239, 1305, 269, 19043, 630, 18893, 1308, 264, 634, 1297, 540, 8918, 4025, 585, 24263, 269, 4347, 5435, 568, 476, 274, 780, 19284, 824, 6310, 3252, 267, 713, 16034, 513, 1871, 1369, 513, 9138, 1239, 2039, 269, 634, 1713, 5515, 666, 581, 4957, 676, 19249, 519, 4644, 4661, 610, 8246, 676, 6028, 621, 10145, 780, 1103, 606, 5604, 4259, 267, 9001, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 29211, 538, 1167, 518, 940, 9441, 2773, 12753, 1063, 13623, 269, 25021, 4464, 267, 9946, 941, 2111, 547, 10996, 643, 1125, 4600, 1247, 5009, 606, 5790, 540, 2635, 6735, 780, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 538, 9185, 281, 1818, 596, 1745, 899, 513, 18802, 1014, 267, 1256, 952, 596, 8959, 2979, 1362, 780, 2162, 6201, 540, 4635, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 692, 2414, 946, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 9185, 267, 1934, 616, 519, 3268, 547, 1246, 1384, 272, 269, 23037, 519, 1239, 538, 26799, 1931, 563, 273, 269, 14419, 519, 30878, 7584, 547, 5173, 543, 3651, 621, 547, 513, 1591, 563, 274, 269, 2422, 519, 1599, 2387, 284, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 10490, 272, 281, 288, 1015, 267, 645, 272, 23375, 1141, 589, 272, 281, 288, 1015, 568, 519, 2039, 540, 2418, 547, 5659, 543, 645, 272, 568, 519, 1591, 609, 8655, 30878, 7584, 563, 275, 269, 634, 1267, 786, 581, 513, 8918, 1297, 10834, 519, 7584, 540, 519, 1871, 538, 6935, 547, 824, 2418, 563, 276, 269, 25092, 676, 476, 1911, 547, 1205, 513, 6871, 6041, 563, 277, 269, 1677, 3489, 25783, 290, 7728, 305, 3198, 298, 269, 2562, 290, 3079, 267, 3274, 1689, 12327, 290, 547, 5442, 290, 538, 1900, 476, 274, 780, 2005, 779, 1271, 547, 4063, 602, 713, 1599, 949, 711, 3132, 4977, 2164, 609, 1507, 3732, 7306, 610, 1875, 5991, 5436, 3892, 540, 1239, 269, 1677, 2087, 6111, 267, 621, 779, 5227, 547, 2333, 3732, 2450, 610, 946, 824, 8579, 2409, 971, 607, 14415, 3796, 610, 3044, 11539, 780, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 281, 1141, 2979, 10742, 9547, 267, 1317, 945, 3085, 1406, 2648, 513, 9985, 19486, 1305, 540, 1239, 2496, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 568, 519, 1259, 547, 1205, 811, 5730, 2164, 538, 1239, 2079, 269, 898, 568, 5488, 543, 10597, 7607, 269, 898, 814, 2640, 936, 824, 2147, 3252, 269, 1284, 3580, 8495, 519, 5383, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 998, 1079, 1016, 21827, 1384, 272, 269, 6452, 23847, 543, 14568, 11778, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 454, 273, 269, 5384, 4149, 3058, 543, 21252, 538, 4578, 5811, 692, 2162, 6452, 23847, 543, 14568, 11778, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 692, 763, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 9185, 666, 1683, 4977, 543, 4824, 4093, 950, 1031, 14013, 269, 898, 568, 513, 3532, 1907, 602, 666, 7584, 2418, 1369, 513, 10471, 543, 1683, 4030, 883, 519, 3892, 540, 1346, 2418, 269, 1635, 7598, 713, 1599, 267, 835, 666, 5173, 519, 3448, 2990, 540, 513, 9138, 1871, 1369, 513, 2016, 2039, 3533, 543, 7561, 780, 11101, 267, 609, 519, 946, 540, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 267, 621, 3587, 4443, 547, 4612, 1804, 1239, 5036, 607, 621, 2488, 606, 2653, 3562, 268, 16187, 30878, 20823, 585, 1142, 1367, 1871, 269, 901, 666, 581, 3730, 538, 1585, 4610, 267, 1519, 8804, 267, 9297, 543, 7194, 269, 634, 1599, 711, 1152, 2337, 538, 16208, 1239, 855, 849, 5713, 607, 513, 3044, 2268, 585, 9236, 1804, 5036, 540, 1239, 780, 3080, 2189, 4183, 568, 922, 2702, 547, 5173, 3665, 2600, 3796, 1141, 1022, 1297, 3152, 982, 610, 3160, 547, 476, 272, 610, 1447, 982, 610, 3160, 547, 476, 271, 666, 581, 5462, 8308, 269, 898, 568, 4277, 547, 917, 602, 1034, 824, 2645, 1419, 5180, 1055, 971, 2338, 267, 3056, 547, 25619, 2164, 780, 3682, 17785, 281, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 16881, 5488, 2773, 676, 4393, 3677, 14449, 282, 2705, 267, 621, 568, 1898, 547, 6218, 519, 11378, 1354, 1210, 873, 607, 11234, 3403, 7440, 1223, 1291, 547, 11234, 2164, 780, 24591, 942, 543, 2057, 3750, 8833, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1107, 707, 20148, 786, 9684, 596, 585, 711, 2695, 842, 532, 693, 11995, 9343, 540, 1239, 780, 2162, 5384, 4149, 3058, 543, 21252, 538, 4578, 5811, 692, 16655, 30093, 21252, 538, 4578, 5811, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 692, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 3091, 3875, 2640, 585, 1239, 2079, 676, 3246, 513, 2656, 543, 2653, 1259, 547, 5173, 30878, 7584, 540, 513, 1871, 1369, 513, 2016, 10471, 269, 901, 3532, 1907, 666, 4688, 942, 543, 5818, 4398, 1247, 1818, 4977, 3664, 1759, 593, 519, 1239, 693, 1688, 780, 3528, 1210, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 267, 19767, 666, 3362, 2697, 519, 3448, 2990, 540, 513, 1871, 610, 1305, 540, 2418, 609, 2463, 547, 519, 3003, 10471, 269, 901, 2337, 538, 9236, 1239, 2798, 2066, 1114, 5712, 610, 12415, 267, 3850, 585, 1732, 7678, 2079, 543, 5483, 3375, 6194, 780, 11101, 267, 713, 1599, 568, 3810, 22537, 547, 1804, 14449, 1510, 18731, 6111, 269, 898, 13333, 24847, 1256, 593, 1950, 9273, 543, 2337, 2061, 6959, 602, 1522, 8451, 689, 18570, 610, 19003, 4247, 780, 19604, 1145, 519, 1379, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 707, 3232, 1239, 2079, 6296, 269, 3399, 16734, 922, 1761, 2221, 543, 2760, 4413, 856, 593, 1271, 4030, 602, 2285, 596, 606, 6316, 936, 15712, 2439, 1012, 12866, 4270, 11860, 852, 333, 12700, 6168, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 281, 9185, 4813, 27909, 4112, 7134, 1384, 1892, 32273, 483, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 568, 606, 9185, 8579, 1599, 1031, 547, 3313, 519, 7584, 540, 513, 2016, 1871, 538, 513, 10471, 607, 513, 6871, 269, 630, 13126, 281, 9185, 27826, 994, 1892, 32273, 483, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 7024, 513, 8918, 1871, 1063, 476, 271, 543, 476, 272, 267, 10834, 519, 6871, 7584, 540, 519, 1871, 538, 519, 10471, 269, 630, 13126, 281, 1401, 576, 2741, 760, 994, 1892, 32273, 483, 634, 16105, 585, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 4542, 568, 968, 284, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 263, 6783, 267, 1535, 267, 1496, 338, 22658, 5091, 580, 1080, 8079, 5608, 1141, 5044, 568, 519, 2039, 540, 2281, 5627, 519, 2418, 547, 7584, 267, 1535, 568, 519, 1871, 585, 799, 547, 3313, 519, 7584, 267, 543, 1496, 338, 22658, 5091, 580, 1080, 316, 568, 606, 18593, 4661, 547, 14574, 519, 1297, 540, 8918, 4025, 547, 5180, 519, 1267, 547, 269, 630, 13126, 281, 24619, 9917, 16587, 994, 1892, 32273, 483, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 568, 3730, 585, 7421, 1239, 14778, 543, 8159, 30878, 31213, 267, 971, 607, 538, 8804, 543, 9297, 3156, 269, 630, 13126, 281, 23654, 16010, 4659, 994, 1892, 32273, 483, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 568, 606, 6454, 936, 519, 4587, 25783, 290, 7728, 305, 3198, 298, 1599, 267, 607, 621, 20362, 7584, 9273, 811, 8308, 585, 14449, 609, 18110, 2418, 269, 630, 13126, 281, 9185, 28941, 2020, 1012, 14174, 17988, 827, 20587, 17213, 269, 2750, 322, 281, 9185, 4813, 27909, 4112, 7134, 692, 2162, 1548, 568, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 543, 875, 1281, 621, 960, 2496, 25807, 290, 7728, 305 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 941, 711, 7318, 269, 3143, 2963, 729, 1336, 540, 8143, 5198, 332, 1436, 2390, 7296, 540, 561, 268, 618, 3128, 547, 513, 546, 266, 331, 7848, 563, 2108, 300, 550, 3128, 892, 630, 328, 4318, 1421, 476, 276, 2173, 14007, 268, 273, 24179, 272, 2173, 996, 1803, 628, 2643, 264, 7094, 334, 28411, 12935, 267, 595, 1015, 295, 736, 302, 264, 568, 513, 1768, 5155, 1355, 4568, 1336, 538, 519, 3282, 540, 20511, 2371, 267, 971, 607, 22895, 3873, 14039, 704, 7534, 630, 701, 653, 1069, 842, 264, 543, 22895, 3873, 818, 341, 18424, 630, 25468, 332, 842, 1040, 901, 4568, 19299, 1614, 669, 12637, 16087, 976, 269, 1306, 971, 267, 621, 666, 2291, 538, 476, 2537, 815, 476, 279, 1114, 8305, 12251, 9593, 545, 3029, 607, 2185, 679, 21468, 9593, 545, 8424, 269, 1280, 1142, 971, 968, 323, 267, 272, 892, 6292, 267, 519, 1079, 3029, 616, 20060, 10967, 574, 1842, 762, 11604, 2592, 540, 835, 1776, 269, 634, 546, 1106, 814, 513, 968, 1372, 868, 2928, 582, 2218, 892, 630, 22018, 3772, 264, 1198, 593, 7077, 1790, 6897, 1242, 1769, 267, 543, 519, 561, 1106, 814, 513, 968, 4582, 528, 582, 2218, 892, 630, 322, 3300, 22018, 3772, 264, 1198, 269, 7102, 6292, 3144, 689, 519, 5216, 3029, 602, 616, 711, 679, 21468, 12002, 540, 835, 1776, 630, 324, 3052, 1421, 561, 268, 618, 3128, 543, 561, 16250, 30291, 3128, 264, 616, 1019, 770, 699, 12002, 267, 602, 568, 267, 20060, 10967, 574, 1842, 762, 7135, 602, 616, 849, 711, 11604, 2592, 540, 835, 1776, 269, 8447, 3601, 971, 607, 11517, 2604, 543, 14495, 1448, 786, 581, 9838, 1369, 1022, 2016, 679, 21468, 9593, 545, 6292, 855, 1114, 585, 1019, 770, 699, 12002, 269, 11576, 800, 3601, 666, 581, 1360, 1114, 1369, 513, 2016, 679, 21468, 9593, 545, 6292, 543, 1851, 1019, 770, 699, 12002, 269, 634, 1249, 602, 1480, 10153, 16371, 13364, 2270, 669, 12637, 2516, 543, 666, 10646, 1063, 930, 679, 21468, 12002, 568, 7152, 676, 519, 3982, 1947, 1114, 1085, 757, 540, 1286, 12537, 543, 884, 1301, 842, 267, 799, 616, 1813, 547, 519, 1079, 679, 21468, 9593, 545, 3029, 540, 835, 7623, 267, 1286, 341, 821, 563, 20332, 543, 24704, 3029, 540, 968, 618, 3128, 892, 723, 1044, 1031, 607, 7657, 1681, 5820, 538, 30143, 267, 1476, 1254, 776, 2472, 267, 5711, 1072, 2472, 267, 936, 7308, 23716, 31534, 267, 543, 10269, 2472, 630, 289, 6324, 1442, 267, 476, 1220, 280, 282, 16441, 267, 1772, 8475, 548, 267, 17292, 10290, 267, 1299, 623, 1678, 578, 267, 476, 1001, 271, 282, 3131, 325, 31899, 267, 476, 2735, 276, 1040, 634, 12939, 1377, 585, 14815, 540, 513, 968, 322, 944, 532, 892, 1198, 568, 1454, 2539, 585, 561, 268, 618, 3128, 630, 10440, 630, 6629, 9984, 618, 3128, 610, 630, 272, 305, 267, 273, 306, 267, 276, 305, 9984, 618, 3128, 264, 982, 585, 667, 268, 618, 3128, 630, 10440, 22791, 9984, 618, 3128, 610, 630, 272, 306, 267, 273, 305, 267, 276, 306, 9984, 618, 3128, 264, 610, 585, 1022, 540, 519, 824, 8305, 12251, 12002, 630, 31319, 3380, 267, 476, 1960, 275, 282, 2506, 31000, 1299, 14929, 335, 267, 476, 2735, 276, 1916, 292, 3088, 3455, 543, 14929, 335, 630, 2735, 276, 264, 1867, 585, 890, 653, 1069, 842, 3282, 602, 630, 320, 264, 6497, 3128, 267, 683, 30291, 3128, 267, 568, 30291, 3128, 267, 543, 683, 12251, 30291, 3128, 3029, 616, 782, 1459, 282, 630, 321, 264, 540, 891, 267, 519, 6497, 3128, 3029, 17663, 3436, 3445, 260, 540, 519, 2698, 968, 618, 3128, 338, 31865, 543, 630, 322, 264, 561, 268, 618, 3128, 7494, 2392, 558, 7149, 630, 285, 4200, 8472, 936, 667, 268, 618, 3128, 630, 5408, 849, 15015, 324, 267, 5975, 16210, 267, 4728, 328, 267, 962, 9461, 267, 1299, 19151, 267, 476, 1001, 271, 282, 744, 9545, 1299, 918, 2335, 267, 476, 1220, 272, 282, 19453, 1696, 620, 1421, 476, 1220, 276, 1040, 1306, 7074, 267, 1019, 770, 699, 12002, 723, 1114, 2168, 3601, 269, 901, 2636, 9668, 676, 2757, 1797, 540, 519, 6497, 3128, 338, 689, 519, 683, 558, 996, 11169, 267, 568, 30291, 3128, 338, 267, 543, 683, 12251, 30291, 3128, 338, 538, 2067, 2472, 269, 8830, 2305, 676, 16358, 1436, 689, 2067, 20511, 11041, 666, 7551, 1291, 547, 5176, 6986, 561, 268, 618, 3128, 630, 292, 3088, 3455, 1299, 14929, 335, 267, 476, 2735, 276, 1040, 16522, 24312, 267, 11507, 616, 2139, 602, 1291, 547, 5198, 6193, 546, 266, 331, 6497, 3128, 607, 1134, 607, 679, 656, 11340, 675, 561, 268, 618, 3128, 630, 295, 31463, 267, 476, 1960, 274, 1040, 634, 476, 1220, 278, 5001, 2504, 540, 968, 618, 3128, 892, 729, 476, 866, 267, 1822, 11973, 9748, 540, 799, 827, 476, 1839, 260, 729, 1031, 538, 10269, 2472, 630, 5141, 1046, 267, 476, 1220, 278, 1916, 763, 2139, 10269, 2872, 6054, 630, 10674, 2517, 5586, 2329, 7456, 3869, 269, 1075, 338, 325, 12975, 270, 264, 616, 24813, 607, 547, 2436, 835, 610, 811, 3029, 540, 968, 618, 3128, 892, 723, 1044, 1031, 538, 10269, 2472, 855, 798, 1445, 3592, 14311, 593, 519, 546, 268, 543, 561, 268, 618, 3128, 6292, 543, 538, 1880, 593, 561, 268, 618, 3128, 269, 9717, 519, 16854, 2956, 540, 6497, 3128, 730, 10269, 2472, 267, 649, 1265, 621, 27314, 602, 519, 3621, 3332, 568, 1934, 1729, 1150, 5176, 14980, 593, 519, 3029, 540, 968, 618, 3128, 892, 538, 13189, 543, 15137, 6804, 10269, 630, 20784, 307, 264, 2472, 267, 4849, 602, 538, 606, 2376, 689, 31240, 650, 731, 267, 1261, 1188, 630, 1001, 271, 264, 2829, 968, 13828, 561, 268, 618, 3128, 543, 546, 331, 268, 618, 3128, 616, 1031, 538, 10269, 2472, 1848, 3245, 681, 297, 32083, 30926, 7577, 267, 23045, 2006, 267, 3131, 325, 31899, 267, 543, 2672, 828, 630, 1960, 279, 264, 616, 13974, 11389, 557, 2718, 543, 1867, 593, 7403, 540, 519, 3448, 5666, 540, 546, 268, 543, 561, 268, 618, 3128, 538, 5023, 31683, 267, 26025, 267, 1310, 3333, 1511, 2603, 542, 1835, 11726, 1889, 632, 6497, 515, 267, 543, 2960, 7738, 21181, 855, 711, 538, 1022, 10269, 2472, 281, 2901, 1100, 7403, 593, 10269, 2472, 941, 1500, 538, 519, 5817, 1353, 676, 891, 17722, 24261, 3744, 610, 789, 941, 609, 18988, 689, 519, 8313, 269, 5047, 267, 649, 616, 711, 3222, 540, 1022, 5359, 540, 519, 3029, 540, 968, 618, 3128, 892, 1336, 538, 16906, 8673, 267, 585, 1383, 267, 2436, 519, 5210, 602, 616, 6913, 538, 513, 8781, 16906, 666, 5687, 958, 5198, 332, 1125, 561, 268, 618, 3128, 547, 546, 266, 272, 6497, 3128, 563, 763, 3668, 540, 1344, 602, 6818, 547, 4266, 593, 519, 3029, 540, 968, 618, 3128, 892, 538, 10269, 2472, 6763, 538, 22880, 4334, 547, 519, 11999, 2956, 540, 6497, 3128, 730, 10269, 2472, 269, 11569, 267, 6497, 3128, 568, 4867, 519, 1152, 968, 30726, 1944, 8137, 892, 4847, 538, 13189, 538, 519, 772, 2529, 269, 2344, 630, 23991, 25003, 10644, 543, 30926, 6513, 543, 8549, 4825, 790, 618, 21637, 267, 476, 1220, 280, 1040, 1656, 267, 1759, 593, 13189, 4421, 267, 519, 2344, 2671, 540, 6497, 3128, 13189, 538, 519, 2136, 2276, 538, 476, 1220, 272, 729, 6059, 547, 581, 476, 2918, 260, 630, 293, 3985, 11780, 8189, 267, 476, 1220, 274, 1040, 5015, 267, 6497, 3128, 13189, 616, 2442, 18368, 281, 16902, 990, 3626, 1696, 620, 269, 630, 1220, 275, 264, 4080, 602, 538, 519, 13372, 267, 23759, 3019, 267, 15173, 15158, 267, 543, 14135, 267, 519, 2344, 2671, 540, 6497, 3128, 13189, 630, 22372, 593, 2338, 540, 13189, 4421, 264, 814, 1044, 3980, 376, 2568, 9077, 476, 2412, 9077, 476, 2918, 9077, 543, 476, 2420, 9077, 6606, 269, 14936, 267, 6497, 3128, 568, 849, 606, 1271, 8137, 538, 20793, 307, 2472, 269, 589, 5619, 5645, 856, 538, 519, 1533, 540, 1715, 14948, 630, 17206, 540, 6925, 543, 19239, 3588, 540, 1715, 14948, 1765, 18662, 540, 5398, 2657, 267, 476, 1220, 277, 264, 4951, 602, 267, 1851, 519, 7657, 1819, 2472, 267, 519, 968, 332, 842, 892, 7121, 630, 5976, 968, 618, 3128, 892, 607, 519, 3119, 8137, 656, 264, 729, 2034, 1034, 2442, 267, 5612, 3297, 968, 342, 5793, 13582, 1848, 630, 14454, 267, 7657, 1819, 2472, 607, 513, 1895, 941, 1336, 547, 2272, 585, 3436, 2568, 260, 540, 782, 20793, 307, 4421, 1063, 476, 1220, 274, 543, 476, 1220, 276, 8094, 763, 1857, 1072, 2360, 540, 6497, 3128, 730, 13189, 723, 1044, 11567, 538, 3875, 16917, 8344, 2090, 269, 769, 513, 2487, 6497, 3128, 7110, 547, 519, 4760, 24251, 267, 1239, 616, 5941, 602, 5815, 630, 320, 264, 25409, 2362, 3928, 540, 6497, 3128, 16906, 7296, 585, 2349, 2931, 543, 1762, 4079, 543, 602, 16718, 8942, 1851, 6497, 3128, 21596, 630, 31860, 2349, 2931, 264, 616, 1447, 3811, 982, 1851, 1875, 618, 3128, 21596, 630, 1805, 1695, 516, 267, 21411, 8500, 655, 328, 267, 9478, 267, 1299, 17540, 267, 476, 1001, 271, 282, 2558, 514, 21059, 267, 28828, 345, 21178, 762, 267, 11619, 518, 267, 6519, 267, 1299, 623, 15127, 267, 476, 1001, 271, 264, 543, 630, 321, 264, 1762, 2937, 562, 1180, 2905, 21596, 945, 8673, 6497, 3128, 13189, 1397, 3152, 15522, 13829, 982, 1346, 7296, 1875, 618, 3128, 13189, 630, 288, 6062, 329, 5271, 344, 577, 1299, 16110, 267, 476, 1001, 271, 1040, 25792, 3123, 540, 3152, 2800, 689, 6497, 3128, 730, 13189, 1331, 630, 320, 264, 519, 2702, 540, 968, 618, 3128, 892, 547, 9633, 519, 10792, 1145, 540, 10269, 8673, 3850, 4443, 543, 4514, 32480, 540, 6497, 3128, 730, 10269, 8673, 630, 310, 599, 928, 1299, 1230, 333, 14709, 267, 476, 1220, 275, 282, 674, 1961, 344, 267, 9796, 928, 267, 1299, 681, 2532, 3626, 267, 476, 3192, 272, 1070, 799, 1131, 1118, 6497, 3128, 730, 13189, 5732, 811, 22925, 607, 1134, 607, 10694, 607, 968, 560, 6621, 892, 2472, 630, 27802, 766, 18816, 543, 10076, 2657, 7896, 10029, 267, 8433, 540, 11930, 5525, 267, 476, 1220, 280, 5148, 630, 321, 264, 606, 15717, 676, 6497, 3128, 540, 10894, 24999, 540, 15522, 630, 13051, 578, 6308, 267, 4173, 516, 571, 267, 1299, 15243, 267, 476, 1220, 275, 5148, 543, 630, 322, 264, 519, 22629, 540, 519, 19140, 2305, 540, 519, 10269, 10391, 6491, 4592, 8533, 630, 4811, 2793, 264, 15910, 4094, 476, 275, 24179, 300, 14007, 27848, 4592, 3133, 334, 9984, 272, 24179, 274, 1790, 344, 5090, 2643, 9984, 272, 1532, 583, 12935, 630, 301, 2793, 299, 282, 4053, 13906, 1696, 620, 1421, 476, 1220, 280, 1040, 1280, 20793, 307, 267, 8293, 1512, 267, 31615, 345, 267, 543, 654, 1068, 345, 630, 1001, 271, 264, 723, 4080, 602, 968, 618, 3128, 892, 666, 3986, 519, 1098, 323, 1069, 531, 543, 1098, 321, 25458, 531, 21774, 540, 15522, 607, 1134, 607, 519, 570, 306, 2793, 715, 5991, 527, 4592, 517, 1941, 545, 13534, 630, 13585, 301, 1916, 763, 5571, 7521, 7282, 519, 2360, 540, 968, 618, 3128, 892, 538, 10269, 2472, 630, 324, 3052, 1421, 589, 6062, 329, 5271, 344, 577, 1299, 12275, 21884, 267, 476, 1220, 275, 282, 8493, 10719, 1299, 18412, 267, 476, 1220, 280, 282, 1261, 1188, 267, 476, 1001, 271, 282, 31722, 1299, 1230, 333, 14709, 267, 476, 1220, 275, 282, 654, 518, 2917, 267, 595, 17344, 1231, 267, 1299, 10557, 267, 476, 1220, 278, 264, 568, 1476, 15903, 676, 519, 1950, 10444, 543, 23020, 2360, 540, 519, 968, 618, 3128, 892, 7135, 269, 1280, 1383, 267, 1970, 270, 628, 11611, 2157, 540, 561, 268, 618, 3128, 666, 6556, 513, 9023, 14815, 267, 6466, 513, 8337, 14815, 543, 5924, 2960, 16698, 723, 1044, 4080, 585, 2362, 2157, 630, 31319, 3380, 267, 476, 1960, 275, 1040, 9919, 30503, 3089, 328, 267, 31722, 267, 1230, 333, 14709, 267, 623, 1678, 578, 267, 543, 26284, 630, 1220, 276, 264, 1867, 968, 618, 3128, 892, 2157, 538, 13189, 607, 8151, 689, 476, 272, 269, 277, 547, 476, 275, 269, 274, 8406, 829, 16906, 267, 855, 547, 938, 1702, 267, 1100, 5359, 2291, 538, 519, 3332, 593, 829, 16906, 5838, 625, 676, 6497, 3128, 730, 13189, 282, 1261, 1188, 630, 1001, 271, 264, 1281, 13712, 513, 4483, 4398, 630, 5228, 11425, 547, 13416, 8673, 264, 540, 3980, 376, 1015, 260, 585, 4207, 13189, 269, 1280, 20511, 1922, 15442, 1819, 20793, 307, 267, 16441, 1696, 620, 269, 630, 1001, 271, 264, 1867, 6497, 3128, 2157, 8151, 689, 476, 271, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19523, 454, 5228, 23094, 1104, 2608, 692, 258, 16710, 1899, 21261, 10992, 454, 339, 787, 912, 825, 7746, 318, 5417, 816, 815, 19523, 27769, 341, 314, 272, 2639, 825, 562, 318, 1636, 815, 703, 4433, 903, 27769, 341, 314, 273, 7481, 825, 556, 336, 6831, 1712, 815, 703, 4433, 903, 27769, 341, 314, 274, 7481, 825, 20444, 326, 815, 19523, 27769, 341, 314, 275, 2639, 21955, 28759, 912, 825, 1820, 2891, 763, 2034, 543, 3791, 7440, 1058, 581, 8870, 5602, 825, 19523, 20216, 527, 263, 272, 2020, 258, 1711, 27427, 23094, 585, 7746, 267, 693, 7098, 591, 2232, 543, 562, 318, 1636, 454, 743, 1304, 306, 12714, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 318, 4306, 3918, 4456, 994, 743, 1304, 306, 12714, 269, 6618, 9230, 338, 13996, 318, 5417, 816, 267, 562, 318, 1636, 4917, 258, 6494, 519, 7662, 3009, 547, 519, 7746, 454, 743, 1304, 306, 12714, 4732, 754, 19304, 263, 516, 336, 6831, 1712, 1040, 523, 13892, 15405, 258, 4309, 519, 678, 318, 1636, 7746, 6494, 1394, 454, 337, 318, 1636, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 258, 2673, 519, 27427, 4276, 454, 743, 1304, 306, 12714, 25379, 4590, 258, 2638, 952, 7817, 1683, 519, 2953, 7662, 3009, 610, 711, 563, 258, 769, 519, 2013, 540, 4636, 7662, 3009, 267, 519, 7817, 786, 711, 4309, 4376, 689, 519, 7746, 2676, 258, 8754, 606, 8900, 5569, 568, 3379, 454, 604, 678, 318, 1636, 2652, 1412, 12466, 825, 1820, 2891, 743, 1304, 1683, 4636, 556, 336, 6831, 1712, 5602, 825, 19523, 20216, 527, 263, 272, 2020, 258, 1820, 6600, 257, 5141, 1304, 4309, 678, 318, 1636, 815, 2715, 337, 318, 1636, 348, 15419, 258, 2991, 8391, 519, 678, 318, 1636, 267, 1711, 606, 772, 7894, 23094, 454, 9558, 318, 743, 1304, 306, 12714, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 32707, 16165, 4456, 994, 258, 6494, 519, 20444, 326, 547, 519, 7746, 781, 678, 318, 1636, 1210, 519, 772, 7894, 23094, 454, 9558, 318, 743, 1304, 306, 12714, 4732, 754, 1729, 263, 916, 326, 269, 523, 13892, 19572, 630, 338, 13996, 318, 5417, 816, 267, 703, 16868, 318, 1636, 21875, 258, 4309, 519, 9168, 20444, 326, 689, 519, 7746, 267, 1820, 856, 543, 14827, 563, 7116, 1881, 916, 326, 267, 7746, 11754, 816, 815, 3690, 318, 743, 1304, 306, 12714, 269, 13440, 341, 5228, 263, 9083, 275, 994, 2745, 263, 7116, 1881, 916, 326, 19709, 13892, 15405, 9558, 318, 743, 1304, 306, 12714, 25379, 4590, 0, 258, 8073, 513, 1362, 547, 3180, 513, 2749, 4087, 269, 11910, 519, 1362, 834, 30949, 2668, 898, 1058, 723, 454, 258, 4610, 585, 2012, 267, 20173, 267, 543, 29978, 780, 258, 570, 7495, 302, 692, 258, 1284, 723, 513, 4015, 540, 2475, 4872, 609, 2551, 936, 476, 16020, 267, 1822, 6740, 538, 519, 454, 258, 3758, 834, 322, 885, 27406, 2668, 630, 5425, 309, 6763, 585, 834, 1260, 2742, 5498, 1706, 730, 2418, 2668, 994, 16482, 258, 2422, 5124, 781, 3710, 2987, 834, 322, 12364, 257, 9074, 547, 1224, 713, 3758, 865, 602, 1142, 2594, 568, 454, 258, 16865, 883, 513, 4975, 3236, 269, 630, 2791, 2811, 1863, 547, 1039, 811, 10305, 547, 519, 4975, 454, 258, 1362, 952, 596, 6999, 267, 855, 713, 568, 711, 2556, 4700, 5616, 834, 7090, 476, 274, 26417, 257, 585, 454, 258, 8100, 543, 946, 707, 5616, 1922, 340, 585, 824, 1806, 563, 16482, 258, 15188, 519, 8320, 538, 519, 834, 322, 885, 257, 1592, 267, 2630, 563, 16482, 258, 8074, 602, 519, 1101, 1899, 540, 519, 11483, 309, 568, 20927, 602, 6257, 519, 4610, 734, 10472, 454, 258, 1058, 711, 581, 16041, 883, 513, 4975, 1843, 780, 5814, 26417, 454, 258, 1930, 4872, 27406, 3758, 1287, 1224, 689, 621, 563, 5976, 1930, 3488, 322, 885, 27406, 3299, 1007, 1467, 284, 5257, 264, 607, 535, 912, 476, 5467, 815, 26417, 18667, 518, 6600, 267, 1642, 574, 3438, 284, 3299, 3299, 10839, 10420, 8782, 347, 17210, 476, 1948, 18178, 513, 1899, 1287, 1820, 1899, 585, 1169, 2582, 2749, 454, 476, 1985, 6600, 994, 476, 4872, 815, 1496, 1467, 585, 1899, 538, 5467, 6540, 258, 2673, 3758, 454, 325, 25379, 30800, 258, 570, 7495, 302, 692, 258, 7179, 519, 1592, 540, 4872, 630, 4067, 267, 4234, 267, 10693, 1070, 476, 272, 2594, 829, 1899, 563, 1721, 1142, 538, 4872, 912, 476, 1820, 3488, 346, 9574, 2715, 9574, 15079, 8339, 8971, 16216, 778, 314, 271, 3910, 1142, 314, 274, 3910, 1142, 314, 275, 8079, 2020, 258, 570, 7495, 302, 692, 258, 2878, 265, 5254, 3918, 307, 6224, 23184, 3201, 256, 2878, 20330, 16482, 258, 14190, 519, 3593, 547, 3403, 1079, 2798, 267, 1142, 9138, 676, 20173, 543, 29978, 563, 258, 1452, 2798, 1106, 519, 15174, 540, 513, 4234, 15828, 517, 4009, 269, 19243, 519, 4872, 602, 2887, 454, 258, 1369, 713, 4009, 563, 16482, 258, 2142, 3222, 602, 519, 3593, 1223, 14574, 2901, 513, 2539, 268, 3847, 270, 21639, 28878, 6292, 540, 454, 258, 10974, 267, 610, 606, 5580, 268, 3847, 270, 12294, 28878, 6292, 540, 10974, 269, 670, 842, 281, 3339, 1125, 454, 258, 519, 3403, 1239, 865, 602, 621, 781, 2141, 835, 610, 519, 824, 267, 1287, 3406, 585, 4872, 563, 16482, 258, 7151, 594, 23860, 912, 16482, 258, 9373, 4234, 272, 267, 23127, 272, 281, 476, 3393, 16427, 1911, 454, 258, 9373, 4234, 273, 267, 23127, 273, 281, 476, 3953, 16427, 6344, 454, 258, 19186, 340, 20960, 4302, 281, 630, 3374, 269, 10755, 276, 16427, 11793, 269, 5038, 278, 277, 994, 258, 23117, 728, 281, 630, 3451, 269, 280, 4343, 273, 16427, 14056, 269, 4375, 275, 280, 994, 258, 5842, 17630, 281, 630, 3953, 269, 279, 4029, 273, 16427, 14056, 269, 14338, 276, 994, 258, 11968, 13353, 281, 630, 4097, 269, 14625, 16427, 14093, 269, 32076, 279, 994, 258, 20098, 30988, 281, 630, 3607, 269, 25248, 279, 16427, 12893, 269, 18605, 274, 994, 258, 28631, 281, 630, 4375, 269, 278, 7830, 272, 16427, 10441, 269, 279, 4037, 280, 994, 258, 27925, 281, 630, 3451, 269, 6872, 273, 273, 16427, 12208, 269, 5400, 280, 272, 994, 258, 570, 1075, 5459, 281, 630, 3953, 269, 14028, 279, 16427, 8099, 269, 279, 6507, 278, 994, 258, 17865, 8235, 4975, 281, 630, 2412, 269, 6507, 278, 275, 16427, 9340, 269, 280, 1789, 272, 2020, 258, 570, 7495, 302, 692, 27785, 24927, 815, 1412, 14140, 28847, 2745, 28361, 333, 14826, 14826, 14826, 11767, 4678, 543, 31701, 9674, 676, 635, 320, 24097, 333, 5073, 6112, 1612, 572, 24927, 2652, 1412, 14140, 12466, 476, 1948, 4894, 16543, 10628, 267, 5094, 5569, 676, 26893, 454, 476, 4717, 272, 815, 3403, 3488, 11767, 519, 674, 7644, 4306, 1305, 540, 10974, 14826, 285, 1412, 1040, 516, 2897, 3488, 22207, 15234, 1040, 20889, 2891, 2437, 994, 476, 1948, 2638, 585, 6959, 538, 3403, 454, 476, 952, 7003, 263, 1723, 867, 272, 264, 11203, 476, 273, 610, 1022, 16216, 778, 538, 4717, 272, 585, 1142, 538, 27835, 3299, 1412, 10086, 16585, 610, 1022, 16216, 778, 18994, 333, 10179, 545, 3890, 2652, 8771, 585, 1142, 538, 4717, 272, 2187, 825, 1820, 19629, 333, 11767, 1697, 10974, 26142, 333, 5602, 476, 3116, 912, 825, 1948, 1847, 547, 1985, 1247, 8520, 454, 825, 1612, 572, 24927, 815, 1412, 16149, 7055, 825, 1820, 3488, 5073, 825, 2736, 692, 6112, 1612, 572, 24927, 2652, 1412, 16149, 12466, 476, 4717, 273, 815, 3403, 3488, 10938, 22444, 31631, 1305, 540, 10974, 14826, 285, 1412, 1040, 516, 2897, 3488, 22207, 15234, 1040, 20889, 2891, 2437, 994, 476, 952, 7003, 263, 1723, 867, 273, 264, 11203, 476, 273, 610, 1022, 16216, 778, 538, 4717, 273, 585, 1142, 538, 27835, 3299, 1412, 10086, 16585, 610, 1022, 16216, 778, 18994, 333, 10179, 545, 3890, 585, 1142, 538, 4717, 273, 264, 2652, 8771, 912, 825, 1820, 28361, 333, 11767, 1697, 10974, 14826, 5073, 476, 3116, 912, 825, 1820, 3488, 5073, 825, 2736, 692, 258, 5094, 873, 883, 10974, 609, 2462, 2418, 543, 1507, 2418, 454, 604, 4717, 272, 314, 271, 316, 10922, 4717, 273, 314, 271, 14158, 476, 2462, 10870, 867, 815, 1496, 1723, 867, 273, 314, 271, 27663, 476, 1507, 10870, 867, 815, 1496, 1723, 867, 272, 314, 271, 27663, 12828, 912, 476, 2462, 10870, 867, 815, 1496, 1723, 867, 272, 314, 271, 27663, 476, 1507, 10870, 867, 815, 1496, 1723, 867, 273, 314, 271, 316, 6540, 604, 4717, 272, 314, 272, 316, 10922, 4717, 273, 314, 272, 14158, 476, 2462, 10870, 867, 6910, 263, 1723, 867, 273, 314, 272, 7481, 476, 1507, 10870, 867, 6910, 263, 1723, 867, 272, 314, 272, 7481, 12828, 912, 476, 2462, 10870, 867, 6910, 263, 1723, 867, 272, 314, 272, 7481, 476, 1507, 10870, 867, 6910, 263, 1723, 867, 273, 314, 272, 20285, 258, 7179, 1142, 2749, 543, 922, 9757, 1533, 952, 621, 781, 1369, 519, 7470, 563, 1721, 1142, 538, 4872, 912, 476, 1948, 1142, 314, 274, 316, 815, 4234, 267, 1142, 314, 275, 316, 815, 10693, 454, 476, 952, 1507, 10870, 867, 314, 271, 316, 10922, 1142, 314, 274, 316, 10922, 2462, 10870, 867, 314, 271, 316, 543, 1507, 10870, 867, 314, 272, 316, 10922, 1142, 314, 275, 316, 10922, 2462, 10870, 867, 314, 272, 14158, 825, 1820, 3488, 30949, 281, 15079, 1422, 333, 13750, 281, 15079, 1422, 333, 10870, 15453, 281, 2715, 9574, 2715, 4153, 333, 8339, 8971, 16216, 778, 314, 271, 3910, 1142, 314, 272, 3910, 1142, 314, 274, 3910, 1142, 314, 275, 8079, 2020, 258, 2119, 476, 2412, 267, 910, 9873, 543, 476, 2004, 16427, 6344, 454, 258, 1058, 3132, 22208, 543, 24144, 454, 0, 12163, 13052, 2207, 290, 383, 491, 5746, 302, 476, 271, 3393, 281, 16677, 571, 267, 14466, 601, 552, 18806, 2227, 692, 290, 4471, 19804, 1982, 320, 6446, 3655, 9809, 320, 522, 1939, 11456, 28185, 541, 808, 7505, 335, 20110, 635, 4938, 17845, 563, 12163, 5228, 942, 1104, 3207, 454, 5228, 4351, 1104, 3903, 692, 3698, 10624, 10031, 825, 1820, 3488, 22296, 553, 1566, 9809, 383, 369, 525, 281, 5073, 825, 1820, 3488, 314, 476, 272, 9948, 623, 3633, 6938, 5073, 825, 1820, 3488, 314, 476, 273, 9948, 623, 4338, 5085, 5073, 825, 1820, 3488, 314, 476, 274, 9948, 570, 2464, 5495, 6938, 5073, 13872, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 8931, 825, 2585, 541, 815, 6936, 454, 825, 1247, 2585, 541, 912, 1038, 10624, 4590, 1038, 30458, 815, 18358, 303, 3633, 6938, 3299, 1412, 303, 4338, 5085, 3299, 1412, 307, 2464, 5495, 6938, 23300, 1038, 3593, 815, 703, 9272, 3488, 304, 783, 20527, 647, 320, 28185, 3385, 286, 1412, 4917, 1038, 28185, 11456, 815, 30458, 314, 12528, 268, 272, 2639, 1038, 1939, 11456, 815, 3903, 17338, 320, 994, 13872, 1038, 952, 28185, 11456, 2652, 30458, 314, 271, 316, 543, 1939, 11456, 2652, 30458, 1496, 272, 14158, 2018, 1820, 3488, 297, 302, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 298, 2894, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 303, 383, 498, 26008, 5073, 2018, 3207, 263, 272, 994, 2018, 1820, 28361, 333, 297, 690, 11456, 281, 15079, 8339, 8971, 27203, 690, 11456, 4917, 2018, 1820, 3488, 4467, 1584, 11456, 281, 15079, 8339, 8971, 263, 28669, 11456, 4917, 2018, 1820, 28361, 333, 5073, 2018, 1820, 3488, 4467, 1584, 11456, 966, 9970, 308, 256, 15079, 575, 534, 3873, 632, 15079, 256, 8339, 8971, 17338, 320, 314, 272, 3910, 30458, 314, 271, 28413, 1038, 8640, 28185, 11456, 2652, 30458, 314, 271, 316, 543, 1939, 11456, 2652, 30458, 314, 273, 14158, 2018, 1820, 3488, 297, 302, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 298, 2894, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 303, 383, 498, 26008, 5073, 2018, 3207, 263, 272, 994, 2018, 1820, 28361, 333, 297, 690, 11456, 281, 15079, 8339, 8971, 27203, 690, 11456, 4917, 2018, 1820, 3488, 4467, 1584, 11456, 281, 15079, 8339, 8971, 263, 28669, 11456, 4917, 2018, 1820, 28361, 333, 5073, 2018, 1820, 3488, 297, 690, 11456, 966, 9970, 308, 256, 15079, 575, 534, 3873, 632, 15079, 256, 8339, 8971, 17338, 320, 314, 271, 3910, 30458, 314, 273, 28413, 1038, 8640, 28185, 11456, 2652, 30458, 314, 272, 316, 543, 1939, 11456, 2652, 30458, 314, 271, 14158, 2018, 1820, 3488, 297, 302, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 298, 2894, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 303, 383, 498, 26008, 5073, 2018, 3207, 263, 272, 994, 2018, 1820 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7055, 1038, 1247, 678, 912, 2018, 952, 1883, 2999, 678, 269, 4486, 912, 3546, 887, 331, 815, 1412, 3847, 7055, 2018, 8640, 1883, 3436, 678, 269, 4486, 281, 3097, 3546, 887, 331, 815, 1412, 2431, 7055, 2018, 3116, 912, 3546, 2132, 454, 2018, 952, 1205, 3430, 337, 16868, 267, 887, 331, 2187, 3546, 678, 815, 1205, 3430, 337, 16868, 267, 887, 331, 994, 2018, 3116, 912, 3546, 1305, 3430, 337, 16868, 267, 887, 331, 267, 1582, 269, 11966, 31107, 4917, 3546, 2132, 454, 3546, 1948, 1325, 2819, 972, 563, 1038, 1948, 1403, 7183, 568, 11402, 267, 6445, 519, 6843, 454, 1363, 7531, 825, 1219, 1820, 4311, 2187, 1038, 1582, 11519, 2745, 4311, 269, 10174, 994, 8931, 825, 1219, 9041, 2745, 4311, 267, 678, 2187, 1038, 952, 678, 912, 2018, 1582, 11519, 2745, 16868, 16000, 994, 2018, 1820, 16868, 269, 4486, 267, 1439, 8782, 30386, 2018, 1582, 11519, 2745, 16868, 16192, 9239, 825, 1948, 1219, 3568, 4311, 267, 737, 2187, 825, 1948, 672, 562, 815, 1582, 269, 10174, 454, 825, 1948, 672, 642, 815, 476, 272, 454, 825, 1948, 672, 1247, 562, 543, 562, 269, 4486, 11203, 737, 912, 825, 1948, 1363, 952, 737, 2999, 562, 269, 4486, 912, 825, 1948, 17264, 562, 815, 562, 16000, 454, 825, 1948, 1363, 3116, 912, 825, 1948, 17264, 562, 815, 562, 16192, 454, 825, 1948, 1363, 642, 6834, 476, 272, 454, 825, 1948, 672, 2132, 562, 568, 711, 7183, 267, 642, 952, 562, 3116, 7183, 692, 672, 692, 825, 1948, 1219, 9041, 935, 13935, 4311, 267, 678, 267, 737, 2187, 825, 1948, 672, 952, 678, 543, 678, 269, 4486, 11203, 737, 912, 825, 1948, 1363, 2132, 1582, 11519, 935, 13935, 16868, 16000, 267, 737, 264, 610, 1582, 11519, 935, 13935, 16868, 16192, 267, 737, 994, 13872, 825, 1948, 672, 2132, 678, 568, 711, 7183, 7531, 825, 1948, 1219, 3568, 4311, 267, 737, 2187, 825, 1948, 672, 2132, 1582, 11519, 935, 13935, 4311, 269, 10174, 267, 737, 2020, 8931, 825, 1219, 2450, 4311, 2187, 1038, 2132, 1582, 11519, 21653, 4311, 269, 10174, 994, 8931, 825, 1219, 9041, 21653, 4311, 267, 678, 2187, 1038, 952, 678, 568, 7183, 912, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 476, 272, 1341, 1582, 11519, 21653, 16868, 16000, 264, 1341, 1582, 11519, 21653, 16868, 16192, 2020, 16482, 258, 567, 10613, 547, 581, 6192, 454, 16482, 825, 1219, 9041, 19417, 4311, 267, 678, 2187, 1038, 952, 711, 678, 912, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 476, 272, 1341, 3193, 4311, 11519, 19417, 16868, 16000, 1070, 1582, 11519, 19417, 16868, 16192, 264, 9239, 825, 1219, 4463, 4311, 2567, 4449, 17264, 1948, 3281, 6160, 800, 454, 1038, 2132, 1582, 11519, 19417, 4311, 269, 10174, 994, 13872, 672, 692, 8931, 825, 1219, 4894, 4311, 267, 1883, 2567, 23351, 454, 1038, 1582, 269, 10174, 815, 1582, 11519, 24525, 4311, 269, 10174, 267, 1883, 994, 8931, 825, 1219, 9041, 24525, 4311, 267, 678, 267, 737, 2567, 23351, 1948, 3281, 6160, 800, 454, 1038, 952, 678, 568, 7183, 912, 2018, 2132, 7183, 454, 1038, 8640, 737, 2999, 678, 269, 4486, 912, 2018, 678, 16000, 815, 1582, 11519, 24525, 16868, 16000, 267, 737, 994, 1038, 8640, 737, 3436, 678, 269, 4486, 912, 2018, 678, 16192, 815, 1582, 11519, 24525, 16868, 16192, 267, 737, 994, 1038, 3116, 281, 1948, 901, 568, 519, 1883, 547, 581, 6569, 1038, 454, 2018, 952, 678, 16000, 568, 7183, 281, 672, 1948, 14168, 2013, 454, 3546, 2132, 678, 16192, 454, 2018, 8640, 678, 16192, 568, 7183, 281, 476, 1948, 4746, 2653, 2013, 22322, 3546, 2132, 678, 16000, 454, 2018, 3116, 281, 1948, 901, 568, 519, 16602, 2013, 563, 3546, 1948, 9540, 652, 538, 1318, 3529, 30283, 563, 3546, 678, 269, 4486, 815, 678, 16192, 4732, 332, 718, 652, 14061, 4486, 454, 3546, 678, 16192, 815, 1582, 11519, 24525, 16868, 16192, 267, 678, 269, 4486, 994, 4449, 672, 1948, 4855, 519, 10545, 1883, 538, 519, 1318, 5705, 872, 454, 4449, 672, 1948, 10925, 602, 1883, 538, 713, 6843, 454, 4449, 672, 1948, 17179, 602, 1883, 689, 519, 1318, 5705, 872, 454, 1038, 2132, 678, 1948, 5457, 713, 256, 898, 10039, 547, 930, 540, 519, 2665, 1657, 454, 672, 692, 8931, 825, 1219, 6449, 1598, 9191, 1345, 2567, 4449, 19930, 1948, 3281, 6160, 800, 454, 1038, 15981, 21803, 1505, 547, 581, 2111, 547, 1820, 454, 1038, 6041, 540, 5569, 563, 1038, 23288, 1038, 15358, 815, 22207, 29717, 21860, 19304, 16325, 264, 585, 1003, 538, 1582, 994, 1038, 2132, 535, 262, 283, 346, 333, 4548, 348, 285, 7055, 8931, 8931, 825, 1219, 547, 8217, 4311, 2567, 23351, 1948, 3281, 6160, 800, 454, 1038, 15981, 309, 611, 3331, 353, 337, 737, 558, 14658, 527, 564, 523, 1285, 546, 28225, 1558, 617, 888, 1038, 808, 698, 5636, 2367, 320, 1140, 737, 558, 14658, 527, 564, 523, 3331, 353, 337, 744, 3799, 1916, 1038, 5489, 3279, 546, 18033, 812, 621, 19907, 541, 3331, 370, 591, 959, 7564, 30956, 546, 7564, 337, 812, 454, 1038, 1199, 3954, 1558, 617, 19274, 606, 341, 7564, 837, 1412, 327, 8636, 541, 678, 7564, 1777, 262, 642, 573, 3097, 1038, 15254, 16660, 21767, 267, 812, 1531, 7238, 591, 703, 324, 1577, 320, 26627, 562, 18033, 326, 582, 9992, 18033, 333, 536, 23152, 13568, 454, 1038, 476, 3394, 563, 1038, 15981, 692, 1038, 2132, 1496, 11133, 585, 1003, 538, 1582, 6540, 8931, 8931, 825, 1219, 547, 318, 299, 22075, 8266, 4311, 2567, 4449, 8587, 1948, 3281, 6160, 800, 454, 1038, 15981, 309, 611, 3331, 353, 337, 737, 558, 14658, 527, 564, 523, 1285, 546, 28225, 1558, 617, 888, 1038, 670, 7564, 337, 3331, 353, 337, 737, 558, 14658, 527, 564, 523, 535, 23152, 21767, 523, 6830, 30138, 663, 324, 454, 1038, 744, 3799, 264, 9093, 1775, 642, 7564, 337, 560, 320, 2887, 521, 18033, 3331, 353, 337, 7696, 5106, 523, 522, 4242, 18033, 744, 3799, 994, 1038, 5489, 3279, 12908, 546, 18033, 744, 3799, 317, 273, 994, 1038, 23288, 1038, 32102, 815, 21912, 8266, 4590, 1038, 585, 1003, 538, 1582, 912, 2018, 32102, 27044, 16325, 994, 1038, 2132, 32102, 22562, 825, 1219, 9041, 328, 680, 4311, 267, 678, 267, 1377, 815, 476, 272, 2187, 1038, 952, 711, 678, 912, 2018, 1948, 12476, 2013, 540, 519, 16571, 542, 454, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 1377, 1341, 1582, 11519, 328, 680, 16868, 16000, 267, 1377, 1341, 476, 272, 9385, 454, 2018, 1341, 1582, 11519, 328, 680, 16868, 16192, 267, 1377, 1341, 476, 272, 9239, 825, 1219, 1775, 680, 4311, 2567, 4449, 3546, 1948, 3281, 6160, 800, 454, 1038, 15981, 19686, 13059, 519, 4835, 2619, 7003, 724, 339, 454, 1038, 1210, 16571, 542, 563, 1038, 23288, 1038, 2132, 1582, 11519, 328, 680, 4311, 269, 10174, 994, 8931, 825, 1219, 700, 7563, 4311, 267, 513, 267, 536, 2187, 8931, 1038, 2132, 1582, 11519, 299, 7563, 4311, 269, 10174, 267, 513, 267, 536, 2020, 825, 1219, 9041, 299, 7563, 4311, 267, 678, 267, 513, 267, 536, 2187, 1038, 952, 678, 912, 2018, 952, 678, 16000, 912, 3546, 513, 18425, 318, 3847, 815, 678, 16000, 26769, 13935, 5416, 994, 3546, 536, 18425, 318, 3847, 815, 678, 16000, 26769, 13935, 6357, 994, 2018, 952, 678, 16192, 912, 3546, 513, 18425, 318, 2431, 815, 678, 16192, 26769, 13935, 5416, 994, 3546, 536, 18425, 318, 2431, 815, 678, 16192, 26769, 13935, 6357, 994, 2018, 952, 513, 18425, 318, 3847, 543, 536, 18425, 318, 3847, 912, 3546, 2132, 1582, 11519, 299, 7563, 16868, 16000, 267, 513, 267, 536, 994, 2018, 8640, 513, 18425, 318, 2431, 543, 536, 18425, 318, 2431, 912, 3546, 2132, 1582, 11519, 299, 7563, 16868, 16192, 267, 513, 267, 536, 994, 2018, 8640, 630, 320, 18425, 318, 3847, 543, 536, 18425, 318, 2431, 264, 610, 630, 321, 18425, 318, 3847, 543, 513, 18425, 318, 2431, 2187, 3546, 2132, 678, 269, 4486, 454, 2018, 3116, 912, 3546, 2132, 7183, 692, 8931, 8931, 3698, 4351, 4671, 872, 3799, 2567, 4449, 25639, 1948, 2422, 995, 454, 825, 512, 815, 645, 4306, 4590, 825, 1247, 512, 25915, 3890, 2999, 703, 3799, 2187, 1038, 512, 27044, 263, 1037, 263, 12690, 20179, 19572, 476, 277, 4917, 825, 2132, 512, 19638, 692, 3698, 1292, 10031, 825, 512, 815, 645, 4306, 4590, 825, 585, 1535, 538, 1496, 276, 267, 279, 267, 277, 267, 274, 267, 278, 267, 273, 267, 279, 267, 272, 267, 280, 14158, 1038, 512, 27044, 3287, 994, 825, 1820, 6025, 11482, 7563, 263, 280, 267, 278, 4917, 672, 7531, 825, 1948, 1820, 3488, 21653, 476, 2433, 22207, 512, 25915, 15405, 825, 1948, 585, 737, 538, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 280, 14158, 825, 1948, 672, 1820, 6600, 257, 935, 13935, 20719, 330, 348, 2567, 2715, 339, 26769, 13935, 17347, 14587, 15419, 825, 1948, 4530, 3009, 2630, 912, 825, 1948, 1820, 6025, 269, 19417, 15405, 825, 1948, 512, 31927, 263, 277, 994, 825, 1948, 512, 31428, 4590, 825, 1948, 1820, 4590, 825, 1948, 1820, 6025, 269, 19417, 15405, 825, 1948, 1948, 2745, 6025, 994, 825, 1948, 1376, 815, 942, 269, 704, 325, 6831, 3300, 4590, 825, 1948, 32102, 815, 512, 30419, 318, 299, 22075, 8266, 4590, 825, 1948, 1820, 263, 5503, 269, 704, 325, 6831, 3300, 3890, 910, 1376, 994, 825, 1948, 1376, 815, 942, 269, 704, 325, 6831, 3300, 4590, 825, 1948, 32102, 273, 815, 512, 30419, 8217, 4590, 825, 1948, 1820, 263, 5503, 269, 704, 325, 6831, 3300, 3890, 910, 1376, 994, 825, 1948, 2745, 6025, 269, 328, 680, 28829, 1911, 271, 692, 825, 1948, 8943, 547, 942, 3406, 538, 3529, 540, 2450, 562, 780, 825, 1948, 562, 272, 815, 3403, 2891, 10481, 588, 528, 548, 330, 281, 19515, 825, 1948, 536, 560, 815, 4351, 4671, 872, 3799, 272, 994, 825, 1948, 3086, 649, 1616, 547, 13182, 602, 519, 1297, 540, 6843, 11564, 5673, 454, 825, 1948, 517, 519, 1739, 4542, 25341, 715, 815, 476, 272, 269, 4375, 265, 8421, 273, 3799, 264, 1341, 744, 263, 272, 1040, 1924, 538, 938, 2013, 715, 815, 476, 272, 269, 4375, 265, 8421, 273, 263, 1911, 271, 264, 4114, 574, 520, 2917, 815, 476, 1691, 692, 825, 1948, 6843, 318, 6665, 1080, 815, 476, 271, 454, 825, 1948, 562, 815, 476, 4335, 876, 454, 825, 1948, 562, 5334, 25458, 815, 476, 271, 454, 825, 1948, 1285, 326, 24449, 815, 476, 271, 454, 825, 1948, 585, 9041, 538, 2039, 263, 1789, 2187, 825, 1948, 672, 536, 560, 815, 4351, 4671, 872, 3799, 272, 994, 825, 1948, 672, 562, 5334, 25458, 815, 476, 271, 454, 825, 1948, 672, 6843, 318, 6665, 1080, 815, 476, 271, 454, 825, 1948, 672, 585, 562, 273, 538, 2039, 3799, 2187, 825, 1948, 1363, 1775, 815, 5180, 263, 12690, 20179, 19572, 476, 277, 994, 825, 1948, 1363, 1967, 267, 3406, 318, 14310, 815, 536, 560, 26769, 13935, 9217, 994, 825, 1948, 1363, 952, 1967, 912, 825, 1948, 17264, 6843, 318, 6665, 1080, 6834, 3406, 318, 14310, 454, 825, 1948, 17264, 562, 5334, 25458, 6834, 476, 272, 454, 825, 1948, 672, 1285, 326, 24449, 6834, 6843, 318, 6665, 1080, 14672, 5334, 25458, 454, 825, 1948, 1948, 2398, 6493, 519, 3328, 1297, 540, 11564, 1310, 476, 4335, 876, 19707, 538, 476, 1789, 1114, 4054, 540, 519, 1482, 2450, 3097, 825, 1948, 1948, 6496, 711, 6556, 4010, 1018, 519, 4542, 3081, 267, 513, 3787, 2539, 563, 825, 1948, 1820, 9230, 822, 326, 24449, 1341, 476, 1789, 8358, 1789, 994, 672, 19638, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 8931, 8931, 8931, 8931, 8931, 12163, 1432, 568, 519, 1024, 1068, 528, 1434, 585, 888, 13117, 7529, 4499, 2525, 692, 272, 269, 7384, 2450, 286, 8786, 267, 835, 1223, 798, 621, 899, 713, 267, 2132, 7003, 19559, 585, 562, 538, 3529, 2639, 273, 269, 7384, 4463, 286, 5262, 2159, 607, 519, 11718, 1281, 711, 1832, 3950, 540, 1377, 454, 274, 269, 3568, 286, 17610, 9847, 2132, 1022, 8443, 333, 2652, 737, 585, 562, 538, 3529, 8079, 952, 737, 568, 519, 1871, 547, 581, 22646, 454, 275, 269, 7696, 286, 4746, 2352, 607, 596, 616, 1152, 2016, 519, 1883, 543, 711, 519, 4704, 547, 519, 19219, 3294, 454, 276, 269, 4894, 286, 910, 1475, 7042, 7531, 24342, 585, 1775, 680, 540, 4351, 4054, 454, 13117, 7529, 4499, 2525, 284, 19638, 1724, 269, 4962, 585, 3529, 540, 476, 1911, 271, 2609, 563, 692, 18851, 0, 258, 32458, 8894, 258, 808, 784, 11860, 2967, 18708, 454, 258, 795, 784 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1557, 2243, 269, 476, 1408, 1206, 1603, 4305, 476, 273, 630, 849, 1634, 607, 1557, 1603, 4305, 476, 1408, 1206, 1557, 1603, 264, 568, 519, 2034, 4305, 540, 707, 476, 1408, 1206, 1603, 1449, 269, 1934, 596, 786, 581, 4843, 609, 606, 1557, 1888, 596, 786, 581, 20639, 1759, 593, 707, 2702, 547, 4431, 547, 519, 1888, 269, 649, 2285, 1557, 1603, 4388, 543, 5796, 538, 938, 1863, 1353, 3391, 269, 3259, 540, 519, 1557, 269, 596, 616, 7363, 4397, 547, 2328, 5111, 476, 4968, 547, 476, 4335, 1913, 269, 585, 1034, 1053, 602, 1226, 919, 547, 835, 1079, 1688, 268, 2854, 476, 279, 269, 476, 276, 676, 476, 1556, 10759, 9212, 540, 1957, 563, 604, 707, 1557, 568, 5393, 2110, 267, 596, 786, 4309, 513, 4057, 6060, 593, 707, 1557, 1603, 4305, 269, 1934, 262, 521, 513, 2638, 1592, 585, 1603, 4305, 476, 273, 269, 1246, 713, 2638, 1592, 543, 596, 616, 16798, 547, 6060, 6512, 476, 278, 266, 538, 476, 1408, 1206, 1603, 269, 1101, 1055, 267, 1224, 1299, 1174, 519, 1888, 540, 519, 1557, 585, 1603, 4305, 476, 273, 269, 476, 1408, 1206, 1603, 4305, 476, 273, 3340, 596, 547, 2328, 606, 4081, 268, 2511, 1557, 593, 513, 1455, 1888, 269, 596, 723, 476, 2412, 3764, 547, 2328, 693, 2547, 476, 7742, 1913, 269, 4305, 476, 273, 666, 581, 7745, 1524, 543, 2219, 827, 811, 3362, 538, 476, 276, 3268, 15545, 713, 568, 519, 2034, 3296, 540, 707, 476, 1408, 1206, 2489, 2866, 1603, 1449, 269, 596, 1058, 6108, 827, 476, 2412, 3764, 593, 621, 269, 2328, 827, 519, 1739, 1888, 281, 4305, 476, 273, 269, 930, 1004, 3494, 602, 3450, 1453, 693, 1753, 568, 1655, 585, 513, 1126, 685, 521, 1646, 1247, 1866, 1589, 602, 621, 568, 1271, 585, 1453, 547, 979, 547, 1153, 269, 538, 519, 476, 1408, 1206, 1603, 4305, 476, 273, 596, 723, 547, 2328, 606, 1557, 540, 513, 5934, 476, 7742, 1913, 563, 331, 8504, 693, 476, 1408, 1206, 3732, 3594, 568, 606, 5140, 1259, 547, 1451, 875, 547, 2087, 269, 1934, 596, 666, 2070, 513, 3099, 540, 476, 1408, 1206, 1557, 3584, 609, 4267, 547, 948, 596, 5965, 585, 519, 476, 1408, 1206, 1449, 269, 1498, 4305, 476, 272, 630, 4484, 1603, 585, 476, 1408, 1206, 2489, 2866, 1299, 1867, 1603, 585, 476, 1408, 1206, 4081, 264, 568, 2653, 676, 1100, 1797, 267, 1082, 8321, 1218, 1265, 4305, 476, 273, 630, 1557, 1603, 264, 540, 476, 1408, 1206, 1603, 9074, 811, 4101, 269, 538, 4305, 476, 273, 267, 596, 616, 9277, 547, 2626, 513, 1880, 2243, 269, 1505, 860, 773, 632, 12031, 16445, 18311, 269, 26583, 6117, 3594, 12819, 269, 547, 581, 811, 1808, 267, 476, 1408, 1206, 1603, 4305, 476, 273, 3340, 596, 547, 2328, 1557, 1603, 4305, 606, 1557, 593, 513, 2016, 269, 6616, 875, 547, 2497, 707, 476, 1408, 1206, 1603, 4305, 476, 273, 1557, 568, 606, 1898, 5578, 602, 666, 1118, 519, 3017, 1063, 519, 3478, 543, 711, 3478, 519, 6512, 6060, 596, 17330, 269, 609, 602, 538, 2247, 267, 649, 723, 13890, 519, 1034, 1455, 476, 1408, 1206, 1603, 4305, 476, 273, 3889, 2630, 563, 333, 22022, 782, 540, 1250, 4305, 476, 273, 3594, 1246, 269, 2034, 568, 519, 4830, 1557, 1141, 596, 786, 2285, 513, 2123, 3210, 547, 513, 1808, 2243, 269, 519, 1739, 3732, 3594, 6542, 519, 2010, 540, 2055, 596, 786, 3068, 543, 875, 547, 2497, 707, 3594, 5265, 269, 585, 2143, 10274, 17074, 585, 1142, 547, 1030, 331, 1603, 2243, 1118, 2386, 547, 2638, 856, 938, 1292, 2985, 269, 1557, 6268, 543, 269, 1018, 2186, 540, 1603, 4305, 798, 596, 991, 547, 2347, 286, 10374, 1650, 10388, 1557, 269, 519, 1592, 2630, 786, 948, 596, 22942, 519, 22559, 685, 521, 2200, 602, 786, 581, 1034, 5363, 585, 596, 2687, 547, 519, 2186, 540, 1603, 596, 991, 547, 9585, 269, 952, 596, 685, 546, 899, 547, 1294, 513, 2347, 1592, 540, 938, 2200, 267, 5225, 3643, 519, 22559, 262, 521, 1292, 2985, 269, 950, 596, 685, 556, 1175, 4098, 707, 1603, 476, 1968, 4305, 476, 273, 540, 519, 1603, 9074, 568, 2141, 513, 1167, 27641, 1557, 2243, 602, 3340, 596, 547, 2328, 827, 4207, 1514, 3390, 269, 596, 616, 2016, 513, 1448, 540, 2070, 2073, 606, 4661, 2073, 513, 1966, 616, 4280, 585, 707, 6644, 563, 338, 15471, 538, 476, 1408, 1206, 1603, 4305, 476, 273, 568, 1759, 593, 1210, 519, 1318, 2553, 269, 891, 1863, 4388, 4245, 267, 7044, 2073, 2203, 3594, 1344, 786, 948, 1020, 519, 1983, 585, 1603, 4305, 476, 273, 269, 713, 2985, 786, 4001, 596, 875, 547, 12366, 1047, 707, 476, 1408, 1206, 1603, 4305, 476, 273, 6060, 269, 782, 4245, 616, 593, 713, 2985, 616, 585, 1312, 269, 798, 596, 1616, 547, 2057, 9073, 538, 1557, 1603, 286, 26821, 609, 930, 8242, 543, 3730, 5439, 1934, 547, 1685, 1134, 538, 981, 269, 2972, 519, 7044, 1920, 267, 2671, 621, 782, 609, 2828, 267, 2073, 14202, 3312, 1543, 267, 2575, 596, 2648, 267, 519, 1158, 593, 596, 32353, 269, 4081, 476, 1408, 1206, 1603, 4305, 476, 273, 1888, 630, 538, 694, 4697, 267, 3738, 1299, 6512, 476, 280, 269, 476, 271, 3732, 281, 606, 1419, 23503, 1888, 568, 2436, 10229, 814, 513, 2101, 3310, 593, 519, 3395, 16726, 540, 1004, 685, 521, 6197, 538, 519, 2413, 1158, 269, 519, 1557, 585, 4305, 476, 273, 540, 519, 476, 1408, 1206, 1603, 981, 568, 1945, 602, 513, 2603, 540, 1053, 616, 12922, 540, 269, 596, 1590, 2328, 827, 476, 7742, 1913, 543, 713, 1058, 1557, 1603, 4305, 581, 6192, 538, 5111, 476, 2412, 3764, 630, 1317, 596, 849, 991, 547, 2347, 1603, 4305, 476, 272, 538, 519, 1101, 476, 736, 3764, 540, 519, 476, 272, 5662, 1603, 1449, 1040, 2070, 476, 1408, 1206, 1603, 2055, 585, 4305, 476, 273, 1557, 1603, 563, 28205, 476, 1408, 1206, 1557, 3584, 616, 782, 1483, 2055, 3144, 689, 4255, 269, 972, 616, 849, 6402, 547, 2203, 4267, 585, 930, 540, 519, 1557, 2055, 865, 596, 666, 1294, 519, 1655, 1259, 547, 2626, 519, 2243, 269, 538, 519, 1603, 851, 540, 519, 524, 272, 4359, 630, 4342, 8822, 524, 272, 264, 981, 972, 616, 476, 273, 4247, 602, 991, 547, 581, 6192, 538, 476, 272, 281, 476, 1789, 3764, 269, 519, 476, 272, 588, 4305, 568, 25471, 543, 519, 1053, 1590, 2347, 606, 1557, 269, 20052, 14259, 1870, 5985, 4566, 676, 334, 269, 519, 476, 273, 26998, 4305, 568, 513, 3903, 540, 476, 274, 3681, 630, 4484, 270, 4757, 1867, 267, 11556, 2689, 1040, 519, 2262, 1293, 585, 1142, 4305, 568, 6919, 543, 1053, 1058, 711, 2328, 269, 476, 1408, 1206, 2489, 1603, 1557, 3584, 666, 581, 1336, 1934, 269, 1455, 476, 1408, 1206, 1603, 4305, 476, 273, 3584, 630, 1592, 264, 2630, 568, 513, 1592, 540, 519, 1034, 1455, 1557, 3584, 1557, 1603, 4305, 585, 4305, 476, 273, 2055, 269, 4945, 519, 1888, 547, 1205, 513, 3732, 1557, 6863, 1592, 267, 513, 22788, 2911, 3381, 630, 547, 948, 1451, 519, 6863, 538, 2796, 1916, 22967, 1603, 1983, 568, 513, 2352, 543, 942, 268, 10438, 4305, 269, 972, 685, 521, 811, 547, 621, 982, 6071, 1603, 621, 3322, 15388, 7011, 1782, 540, 2093, 269, 835, 949, 1294, 621, 607, 513, 11411, 2016, 676, 1153, 3610, 2852, 20485, 585, 3063, 5491, 855, 649, 1419, 3111, 547, 5431, 875, 1557, 1603, 2965, 2337, 1020, 938, 9266, 3206, 269, 519, 1603, 4305, 476, 273, 540, 519, 476, 1408, 1206, 1449, 3340, 596, 547, 2328, 693, 2547, 476, 7742, 1913, 269, 596, 786, 581, 4843, 609, 513, 1888, 28388, 3877, 267, 7234, 519, 1888, 267, 1175, 4328, 606, 6644, 267, 7114, 2009, 3435, 2073, 24152, 2042, 267, 786, 581, 7318, 593, 707, 2702, 547, 4431, 676, 4758, 1547, 6443, 795, 599, 689, 552, 273, 331, 4833, 269, 635, 607, 646, 3217, 596, 998, 513, 4305, 476, 273, 1557, 585, 1603, 2519, 593, 519, 1412, 547, 1018, 6708, 798, 596, 3858, 610, 10990, 257, 1412, 1826, 844, 269, 476, 1408, 1206, 1603, 4305, 476, 273, 4388, 786, 948, 596, 1174, 1018, 596, 991, 547, 798, 547, 1205, 513, 1164, 6060, 543, 11694, 707, 1267, 538, 476, 1408, 1206, 1603, 4305, 476, 273, 269, 649, 723, 6394, 1283, 476, 736, 4388, 2630, 602, 596, 666, 946, 538, 707, 476, 1408, 1206, 1603, 269, 4126, 596, 786, 2972, 2542, 9462, 30904, 563, 514, 713, 3992, 267, 596, 666, 1451, 875, 547, 2328, 606, 476, 1408, 1206, 4305, 1079, 1557, 269, 4305, 1079, 538, 519, 476, 1408, 1206, 1603, 981, 568, 519, 7887, 4161, 538, 476, 1408, 1206, 585, 1082, 1053, 269, 596, 723, 476, 2412, 3764, 547, 2328, 606, 1557, 267, 799, 1223, 581, 593, 3592, 1022, 1888, 269, 476, 274, 2010, 540, 476, 1408, 1206, 1603, 4305, 476, 273, 3594, 713, 2022, 786, 5635, 519, 476, 274, 2010, 540, 476, 1408, 1206, 3594, 5031, 519, 10486, 3604, 1851, 873, 269, 1557, 1603, 4305, 585, 782, 5686, 540, 3594, 267, 835, 1292, 2856, 585, 1142, 1560, 5037, 568, 6190, 269, 782, 1434, 2298, 4760, 4930, 786, 1331, 513, 1507, 3332, 2689, 1310, 519, 4367, 5037, 269, 621, 949, 711, 581, 1572, 513, 1557, 1603, 4305, 3332, 2689, 855, 3947, 596, 606, 2856, 540, 875, 835, 568, 2813, 538, 20538, 269, 630, 3738, 1402, 268, 909, 5399, 693, 519, 6280, 540, 2840, 2719, 5069, 281, 14178, 519, 3914, 540, 606, 4081, 5399, 676, 2921, 834, 519, 5399, 257, 547, 519, 1053, 563, 2041, 3222, 602, 519, 3332, 2689, 568, 606, 27952, 1184, 269, 607, 596, 1224, 14911, 4798, 267, 596, 786, 1265, 1007, 16060, 2073, 693, 799, 1448, 596, 786, 2132, 547, 3406, 267, 2073, 1265, 856, 827, 891, 1007, 4798, 267, 2328, 3355, 31585, 6451, 873, 883, 707, 2689, 269, 519, 3483, 540, 713, 3391, 568, 547, 948, 596, 998, 519, 3332, 2689, 1184, 269, 3332, 2689, 476, 1015, 2985, 11239, 3684, 12814, 2337, 1053, 543, 4648, 5265, 5491, 519, 1344, 602, 789, 946, 269, 13712, 707, 4760, 2376, 538, 7819, 5626, 7681, 476, 277, 628, 7160, 3898, 585, 1863, 269, 693, 4416, 2880, 649, 3494, 602, 519, 1646, 540, 7347, 7924, 1983, 568, 693, 519, 1360, 2295, 540, 16779, 1453, 547, 8853, 538, 1153, 538, 1272, 269, 10097, 4574, 568, 606, 269, 3332, 8039, 616, 538, 1390, 3747, 538, 1034, 3621, 4610, 563, 26132, 991, 11710, 689, 519, 2479, 268, 2810, 3977, 540, 3621, 12326, 269, 585, 1383, 2073, 9265, 267, 8377, 267, 3379, 547, 476, 1960, 272, 267, 17288, 2053, 811, 4574, 941, 4994, 539, 538, 1357, 540, 2257, 593, 13663, 267, 2073, 538, 1614, 267, 5216, 6606, 269, 1642, 10277, 1870, 1544, 4966, 269, 605, 1870, 4566, 568, 513, 1007, 26294, 2749, 1759, 2754, 609, 13646, 538, 1642, 10277, 269, 922, 2199, 2319, 540, 3318, 5830, 29801, 723, 513, 3318, 3950, 2594, 4543, 7218, 8011, 269, 1603, 513, 1870, 1544, 568, 835, 540, 519, 1034, 1271, 1919, 596, 666, 798, 585, 707, 1870, 269, 9939, 1176, 267, 1544, 616, 5830, 2200, 547, 948, 609, 2870, 513, 1870, 1544, 15545, 1870, 17861, 2209, 2709, 5604, 543, 20614, 2230, 585, 1007, 4213, 1419, 693, 31680, 1642, 10277, 609, 519, 948, 540, 2229, 3292, 269, 1451, 811, 827, 8797, 1870, 4566, 12814, 8797, 1870, 4566, 12814, 24870, 538, 2870, 24015, 2854, 1870, 4566, 585, 1507, 1870, 5411, 269, 707, 1870, 1544, 568, 2688, 2854, 676, 12913, 544, 9346, 5830, 3173, 267, 2073, 2883, 2203, 619, 267, 3113, 1227, 2966, 676, 4966, 563, 342, 559, 2719, 2023, 3091, 5049, 593, 1870, 1544, 1603, 269, 9939, 1176, 267, 972, 5830, 1082, 2200, 1544, 948, 609, 2870, 513, 1544, 1544, 15545, 1870, 17861, 2209, 2709, 5604, 543, 20614, 2230, 585, 1007, 4213, 1419, 693, 1870, 3928, 609, 519, 948, 540, 3860, 1603, 2516, 536, 10667, 3292, 269, 2630, 568, 513, 17609, 540, 519, 1870, 17861, 2209, 267, 1870, 269, 4128, 1946, 1453, 2057, 6780, 972, 616, 1896, 4128, 3297, 1946, 1053, 1265, 6780, 2352, 543, 2196, 689, 621, 269, 952, 649, 616, 2312, 609, 519, 4128, 621, 786, 581, 1360, 2653, 585, 721, 547, 4308, 609, 873, 948, 873, 1020, 513, 2648, 2509, 6780, 269, 930, 540, 519, 4128, 616, 607, 5205, 281, 942, 268, 512, 2731, 269, 1775, 262, 544, 2965, 1175, 1934, 547, 5000, 8885, 543, 824, 6780, 11058, 619, 676, 17609, 476, 1015, 4128, 649, 1058, 798, 938, 6780, 563, 1015, 4128, 596, 1058, 798, 707, 6780, 476, 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 ]
[ 8551, 10406, 454, 7093, 268, 3849, 3939, 32505, 281, 476, 274, 1296, 12924, 306, 3204, 757, 4569, 610, 13380, 267, 476, 272, 1032, 3163, 454, 27775, 2105, 4400, 3427, 20043, 543, 5924, 23800, 281, 513, 8772, 1032, 540, 4569, 267, 476, 273, 1296, 540, 3163, 630, 821, 540, 799, 568, 8212, 994, 10702, 4065, 14727, 732, 518, 19662, 281, 18734, 547, 25328, 779, 23422, 5358, 282, 4876, 3255, 1331, 3301, 11653, 267, 3301, 17354, 267, 2780, 27732, 454, 20663, 2257, 568, 519, 1353, 540, 519, 7384, 1184, 543, 519, 4909, 6620, 267, 3889, 543, 4654, 602, 896, 12340, 602, 1184, 269, 1703, 568, 606, 2810, 991, 585, 8097, 960, 267, 543, 519, 3498, 540, 7384, 2257, 547, 824, 4610, 568, 19957, 269, 898, 568, 713, 11100, 540, 3069, 543, 2259, 602, 2306, 2780, 2257, 865, 3078, 563, 25284, 2719, 568, 606, 16832, 1907, 538, 4702, 267, 2029, 543, 1082, 824, 3621, 543, 2930, 4610, 269, 1717, 267, 5752, 568, 513, 1797, 547, 2263, 519, 3157, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27165, 15015, 338, 257, 607, 851, 540, 834, 28035, 1315, 11657, 566, 1299, 14502, 5675, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 14297, 4884, 4904, 609, 26009, 5656, 543, 11112, 10754, 267, 972, 729, 513, 7874, 8378, 11647, 12051, 1141, 1614, 2182, 11529, 11608, 3957, 7605, 267, 32572, 267, 543, 12157, 339, 6170, 741, 2395, 2679, 4190, 11308, 23107, 269, 1452, 15931, 536, 1824, 941, 2189, 1317, 789, 4769, 1405, 991, 1022, 5528, 910, 789, 6785, 4010, 875, 547, 4739, 3501, 23107, 2439, 3080, 13566, 1554, 267, 1247, 2921, 513, 2736, 896, 513, 2462, 18073, 3529, 267, 2370, 7605, 5828, 547, 1010, 2828, 543, 4280, 267, 834, 296, 4898, 875, 1082, 23107, 649, 1118, 538, 513, 1554, 8119, 30985, 32572, 14452, 267, 834, 11039, 267, 1577, 803, 1589, 269, 1284, 1628, 2185, 23107, 1169, 5662, 267, 1810, 1405, 649, 286, 1656, 2094, 649, 960, 1875, 17380, 585, 5216, 3108, 2786, 267, 1287, 649, 1590, 1711, 476, 275, 2053, 476, 279, 15323, 289, 27117, 29169, 31113, 267, 6031, 267, 834, 6546, 1797, 476, 3953, 23107, 267, 1318, 286, 1809, 7227, 1862, 933, 2141, 3100, 547, 1439, 909, 1818, 3063, 23107, 950, 2324, 1927, 256, 594, 1224, 12341, 602, 16542, 4679, 7607, 1701, 589, 1769, 12712, 321, 4682, 1055, 1657, 741, 17285, 9843, 256, 1358, 7691, 602, 607, 513, 2468, 334, 267, 789, 1500, 835, 811, 11381, 1169, 3670, 3108, 780, 12988, 547, 741, 9819, 267, 7605, 1767, 267, 834, 3383, 267, 1169, 3670, 3108, 267, 649, 2347, 1776, 11381, 593, 1283, 540, 938, 8912, 3977, 269, 1403, 649, 1616, 547, 1265, 856, 875, 1082, 1412, 2169, 571, 262, 23107, 649, 3710, 936, 1535, 2179, 540, 3108, 267, 649, 3274, 7941, 1535, 676, 476, 277, 269, 2334, 3947, 721, 519, 9814, 22429, 23107, 15323, 306, 19488, 267, 519, 8797, 2025, 5826, 8773, 7902, 1354, 873, 269, 1261, 9307, 23217, 267, 834, 289, 9081, 267, 707, 5916, 3646, 2221, 8507, 538, 476, 10463, 14952, 748, 13144, 256, 2052, 4896, 2995, 803, 875, 1279, 596, 5249, 8119, 2060, 10761, 267, 519, 2468, 334, 22551, 539, 1394, 267, 834, 5978, 4542, 786, 948, 721, 4194, 621, 256, 898, 781, 476, 1321, 343, 7132, 1535, 5258, 676, 476, 277, 11224, 476, 10463, 29389, 2991, 930, 2656, 9273, 267, 789, 4362, 789, 1185, 1044, 24091, 2324, 585, 476, 280, 2898, 3108, 2439, 3719, 620, 553, 267, 741, 7772, 729, 2110, 24331, 607, 789, 8068, 1945, 9642, 269, 4256, 11891, 4951, 1152, 476, 3583, 8737, 23107, 3079, 540, 519, 4397, 476, 10463, 269, 10658, 3960, 1194, 267, 789, 6743, 1472, 543, 1336, 1614, 20169, 4816, 5017, 21224, 20354, 593, 1346, 7508, 23107, 256, 6884, 1256, 519, 1655, 2979, 1983, 666, 1405, 3589, 2470, 781, 26208, 269, 6736, 1373, 21183, 540, 741, 3804, 267, 789, 4121, 3407, 4245, 827, 16542, 267, 11428, 267, 543, 6397, 23538, 540, 1272, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29467, 616, 476, 274, 4600, 6721, 23107, 538, 513, 11647, 12051, 269, 3962, 540, 873, 7472, 476, 275, 23107, 606, 5662, 269, 1306, 513, 1895, 267, 789, 3132, 606, 3606, 11381, 1169, 476, 277, 3108, 269, 769, 2698, 267, 875, 1082, 23107, 723, 1044, 3812, 1310, 1535, 3108, 888, 2252, 649, 917, 519, 2626, 547, 519, 1657, 2243, 568, 476, 10463, 267, 1018, 568, 519, 1871, 540, 7164, 4756, 1535, 888, 10376, 11832, 7472, 476, 275, 23107, 829, 5662, 267, 865, 538, 1535, 3108, 267, 1142, 11832, 1131, 3132, 476, 275, 343, 23107, 563, 2467, 616, 476, 274, 4600, 267, 865, 538, 1535, 3108, 267, 782, 1614, 4600, 1131, 3132, 476, 274, 2608, 476, 275, 343, 815, 476, 1321, 343, 23107, 563, 2026, 513, 1895, 267, 789, 3132, 606, 3606, 11381, 1169, 476, 277, 3108, 269, 1924, 1310, 1535, 3108, 267, 789, 1131, 723, 3812, 1535, 270, 277, 3606, 23107, 563, 763, 2698, 1297, 540, 23107, 3812, 1310, 1535, 3108, 568, 519, 2040, 540, 519, 23107, 3812, 676, 519, 4600, 543, 519, 3606, 23107, 3812, 676, 519, 1895, 281, 476, 1321, 343, 1341, 1535, 270, 277, 563, 2171, 616, 2016, 602, 519, 2698, 1297, 540, 23107, 3812, 1310, 1535, 3108, 568, 476, 10463, 267, 865, 649, 666, 2328, 281, 476, 1321, 343, 1341, 1535, 270, 277, 815, 476, 10463, 563, 2414, 14458, 519, 3830, 267, 649, 666, 9062, 1312, 5011, 676, 476, 277, 547, 1205, 7759, 540, 519, 6824, 281, 476, 7761, 343, 1341, 1535, 815, 476, 275, 4343, 563, 23382, 1456, 15073, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1747, 1572, 26277, 16288, 630, 6518, 568, 1631, 1634, 607, 11894, 1070, 972, 729, 513, 1390, 6205, 3957, 18771, 2378, 320, 918, 655, 531, 2311, 4405, 330, 269, 1261, 6068, 1010, 2197, 543, 922, 1004, 865, 1454, 602, 646, 2968, 519, 4651, 540, 2413, 11894, 2439, 300, 755, 2378, 320, 918, 655, 531, 2311, 4405, 330, 1500, 2386, 3025, 1185, 5321, 267, 1426, 267, 543, 9660, 269, 1261, 849, 5280, 1711, 3506, 585, 3214, 899, 596, 547, 1451, 875, 547, 1224, 543, 2328, 269, 2290, 1554, 1247, 6972, 998, 26277, 16288, 267, 646, 1336, 513, 9589, 5757, 1107, 519, 661, 25045, 6233, 269, 898, 3323, 782, 519, 1259, 1394, 2282, 27859, 1141, 3504, 15438, 2899, 12199, 780, 257, 3963, 568, 713, 5757, 2027, 8119, 4280, 513, 2370, 8004, 3957, 589, 2643, 320, 945, 5030, 7404, 780, 4263, 4405, 330, 20493, 543, 14452, 267, 834, 1607, 5757, 8928, 998, 1082, 3338, 267, 1175, 899, 938, 1686, 2835, 2995, 721, 2984, 540, 1114, 17710, 3010, 288, 2643, 320, 1287, 4718, 7980, 15292, 532, 676, 269, 2701, 9289, 267, 834, 8005, 616, 789, 7863, 12482, 4263, 4405, 330, 6045, 267, 834, 17829, 616, 938, 4108, 25330, 269, 1358, 1832, 26277, 16288, 2922, 267, 1175, 899, 544, 20207, 543, 546, 23098, 2149, 938, 1753, 3010, 306, 19488, 267, 589, 2643, 320, 8068, 1945, 8966, 538, 519, 6607, 269, 1703, 941, 524, 637, 30105, 8032, 899, 24262, 10876, 256, 4634, 593, 1283, 540, 5656, 543, 17514, 780, 30948, 1281, 602, 1611, 8119, 1352, 4280, 8049, 569, 780, 4263, 4405, 330, 12943, 9900, 267, 834, 6546, 3090, 4564, 4708, 543, 3356, 538, 938, 4182, 269, 6056, 540, 621, 607, 6031, 32597, 950, 649, 2743, 1007, 2828, 15323, 3080, 13566, 12784, 267, 589, 2643, 320, 4956, 547, 2263, 811, 827, 1200, 2244, 269, 2701, 4362, 606, 2025, 1433, 2854, 676, 2576, 3957, 1412, 11990, 519, 1234, 767, 1807, 9538, 30985, 267, 1352, 8118, 621, 909, 543, 4121, 827, 5722, 13039, 4092, 538, 5607, 269, 1452, 4025, 32131, 2484, 2476, 855, 1869, 4448, 547, 1200, 22657, 780, 2026, 1352, 1166, 5792, 998, 519, 3817, 267, 1352, 3357, 2066, 12400, 540, 2367, 26902, 6235, 7301, 10971, 269, 834, 3963, 1131, 4896, 798, 602, 8119, 20402, 589, 2643, 320, 21030, 1836, 780, 4263, 4405, 330, 15527, 20617, 267, 834, 5278, 1004, 7340, 1018, 5963, 6927, 267, 899, 18468, 538, 835, 3020, 1379, 3079, 540, 1818, 7329, 11169, 269, 1284, 1590, 2141, 3314, 547, 2463, 1866, 1256, 952, 789, 3494, 8335, 3010, 7661, 267, 589, 2643, 320, 4280, 267, 834, 1692, 666, 594, 948, 1250, 4190, 26277, 16288, 12482, 4263, 4405, 330, 6743, 23217, 883, 1200, 4064, 543, 1767, 267, 834, 3528, 3395, 909, 2178, 267, 5100, 267, 543, 2186, 267, 1175, 899, 596, 2907, 616, 269, 1411, 786, 4163, 593, 519, 2648, 585, 707, 2197, 543, 1118, 621, 1732, 1142, 1554, 3010, 4517, 865, 267, 589, 2643, 320, 8057, 909, 6616, 602, 1169, 1268, 4249, 513, 851, 538, 5935, 741, 1378, 22038, 269, 3807, 899, 8933, 2095, 998, 3338, 267, 12583, 11200, 1354, 721, 267, 543, 6082, 1796, 1927, 896, 6698, 540, 9322, 267, 1272, 11414, 721, 4245, 4502, 19551, 780, 3086, 979, 1404, 267, 581, 8049, 267, 2307, 2055, 267, 543, 10027, 880, 1346, 8090, 1317, 789, 1932, 1831, 4773, 540, 22400, 744, 310, 301, 8748, 1650, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15648, 476, 1960, 275, 910, 476, 1708, 274, 9291, 781, 6426, 17943, 454, 288, 3578, 1819, 1635, 10778, 13775, 2201, 10778, 18550, 476, 274, 267, 476, 1001, 271, 454, 8310, 21213, 10778, 19688, 476, 2420, 267, 476, 1001, 273, 454, 27237, 292, 281, 901, 2376, 610, 3126, 814, 711, 1044, 8242, 5063, 269, 1306, 971, 267, 621, 949, 7654, 2270, 930, 22573, 1344, 267, 543, 5924, 2093, 543, 4978, 799, 594, 1100, 3476, 9784, 267, 610, 799, 723, 4957, 547, 930, 4110, 563, 15014, 25547, 335, 570, 599, 344, 760, 661, 6113, 25830, 5288, 15349, 13639, 267, 3938, 1154, 2342, 267, 4937, 18771, 2378, 320, 918, 655, 531, 2311, 4405, 330, 1656, 15349, 13639, 15050, 2103, 267, 18301, 2986, 634, 5101, 267, 661, 25045, 6233, 5211, 667, 1845, 5455, 267, 9502, 2986, 26277, 16288, 267, 14062, 670, 996, 1656, 634, 670, 8636, 2572, 267, 3627, 634, 1234, 767, 1807, 267, 1772, 548, 2986, 4793, 21573, 1656, 634, 32363, 613, 534, 7256, 267, 18599, 932, 11699, 6904, 3657, 769, 5607, 267, 645, 2931, 331, 5200, 932, 11699, 2806, 9646, 4168, 1684, 551, 21218, 2986, 634, 24347, 548, 6754, 267, 6754, 781, 1234, 321, 8123, 1677, 8895, 520, 2103, 267, 8771, 2696, 9093, 5771, 1656, 634, 595, 29266, 9855, 267, 2859, 2201, 26277, 16288, 1656, 18301, 2986, 634, 5101, 267, 18882, 2986, 661, 25045, 6233, 5211, 267, 589, 15783, 8892, 2782, 18830, 5840, 12833, 6295, 11894, 1656, 4033, 8315, 267, 15783, 13705, 525, 2986, 634, 2142, 770, 1656, 3571, 14022, 625, 267, 589, 25792, 590, 928, 752, 31105, 267, 7073, 1855, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 13639, 1315, 9147, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14121, 322, 270, 10428, 338, 1790, 1023, 344, 2389, 8084, 27492, 1613, 0, 299, 5922, 568, 513, 26068, 13047, 1436, 602, 4386, 1419, 538, 4633, 2792, 269, 4595, 17409, 568, 3812, 676, 519, 4633, 2504, 7271, 267, 19706, 2079, 2409, 616, 1031, 6140, 585, 519, 1353, 540, 17409, 1035, 24065, 923, 269, 769, 713, 1957, 519, 4644, 540, 29835, 2934, 585, 5806, 3215, 17409, 543, 4633, 568, 5941, 269, 1715, 2934, 10503, 519, 29835, 4162, 616, 1031, 547, 5659, 519, 14902, 6786, 269, 634, 2934, 616, 1759, 593, 31302, 12334, 543, 4222, 540, 29835, 693, 22184, 338, 269, 1323, 5690, 568, 2919, 1759, 593, 891, 2934, 547, 3713, 17409, 4525, 538, 6024, 4633, 269, 634, 2164, 616, 11609, 676, 16326, 17409, 4525, 538, 513, 7641, 13739, 1982, 563, 289, 9560, 4919, 4704, 269, 14181, 515, 518, 27958, 267, 918, 269, 1315, 16444, 4498, 880, 4414, 11276, 267, 631, 269, 1315, 16444, 681, 4821, 12653, 1399, 267, 918, 269, 1315, 962, 1122, 22974, 541, 27011, 267, 645, 269, 630, 1220, 280, 2567, 834, 26046, 540, 14902, 6786, 585, 16326, 538, 6024, 4633, 2580, 769, 21850, 8991, 14154, 17248, 268, 1220, 280, 267, 476, 14689, 272, 268, 14689, 275, 269, 0, 2419, 21590, 1101, 6469, 8484, 15298, 4262, 4693, 814, 9411, 519, 1293, 6658, 269, 1306, 519, 4102, 9522, 333, 720, 2627, 10617, 1222, 3710, 538, 519, 4457, 13108, 1686, 267, 519, 4262, 4693, 5106, 540, 519, 6469, 15298, 814, 13631, 519, 3007, 540, 519, 3544, 1158, 269, 1306, 606, 1271, 3095, 1354, 519, 4013, 3028, 267, 519, 4262, 4693, 568, 606, 16832, 1184, 585, 519, 5250, 540, 519, 8396, 3196, 540, 519, 8484, 15298, 269, 1284, 666, 849, 1491, 713, 4316, 547, 1294, 1018, 4277, 1919, 649, 666, 2671, 538, 824, 8484, 15298, 2477, 1282, 519, 4262, 4693, 269, 634, 8013, 8484, 15298, 568, 519, 10600, 1101, 8484, 15298, 2966, 543, 9112, 2687, 547, 519, 8484, 15298, 269, 2859, 30060, 3652, 1306, 519, 4098, 540, 519, 1272, 540, 513, 10617, 1222, 267, 22745, 16008, 543, 840, 3028, 4262, 4693, 616, 1271, 4247, 585, 1022, 2197, 338, 26010, 269, 1306, 519, 1034, 3532, 543, 17116, 10617, 1222, 540, 2413, 26010, 267, 22745, 16008, 543, 4262, 4693, 540, 8484, 15298, 616, 3808, 547, 4482, 2647, 3007, 540, 519, 2898, 2197, 543, 1256, 519, 2898, 1158, 269, 22702, 609, 12959, 4721, 267, 2267, 23924, 543, 535, 3419, 919, 267, 8484, 19057, 616, 9833, 607, 1507, 3197, 538, 17189, 8043, 269, 6787, 621, 729, 519, 3703, 9576, 18937, 903, 26465, 923, 2696, 267, 519, 1977, 18999, 2917, 610, 519, 5545, 674, 1263, 3495, 836, 267, 621, 729, 1152, 1310, 476, 4572, 271, 338, 607, 519, 8484, 15298, 856, 540, 519, 4155, 269, 1924, 519, 22745, 6293, 540, 519, 15298, 8484, 814, 1044, 1210, 519, 1482, 1184, 607, 824, 2627, 9635, 585, 513, 1279, 942, 267, 543, 519, 4639, 7125, 621, 29080, 540, 519, 10617, 1222, 269, 2986, 1576, 267, 519, 13411, 1216, 1031, 538, 519, 29080, 540, 8484, 19057, 568, 10416, 23931, 16098, 269, 769, 1840, 547, 519, 2136, 2276, 13108, 538, 519, 2085, 540, 29611, 540, 4568, 267, 2899, 1031, 547, 5372, 519, 1166, 2532, 540, 9174, 538, 519, 6367, 540, 519, 6928, 267, 519, 26010, 538, 1034, 2477, 729, 2111, 547, 10131, 519, 1216, 1310, 1159, 4770, 519, 9174, 11480, 609, 519, 2212, 540, 519, 6928, 538, 519, 1034, 942, 269, 1809, 972, 568, 513, 3017, 1063, 9174, 543, 9174, 269, 769, 519, 5736, 540, 11308, 13743, 12959, 1222, 267, 519, 9174, 7484, 568, 2808, 547, 581, 519, 1655, 6928, 547, 29080, 13411, 1216, 269, 1656, 538, 519, 1101, 1747, 15438, 543, 7060, 1131, 2322, 519, 8988, 7484, 602, 3090, 1242, 519, 10513, 3400, 559, 883, 519, 4262, 693, 22745, 18428, 267, 855, 621, 8604, 547, 581, 811, 7199, 547, 1159, 1662, 519, 14569, 585, 513, 1279, 942, 269, 634, 4605, 2982, 519, 22745, 16008, 540, 10348, 10906, 269, 1879, 519, 13108, 9411, 519, 4401, 543, 5374, 2085, 267, 13084, 27158, 2968, 519, 2556, 4235, 585, 782, 519, 562, 822, 625, 538, 519, 22745, 16008, 269, 769, 476, 6245, 272, 267, 10348, 15117, 1101, 13264, 519, 13084, 27158, 11480, 538, 519, 22745, 540, 9576, 14880, 269, 1809, 538, 476, 1001, 275, 267, 1776, 15596, 540, 10906, 267, 693, 519, 22745, 16008, 540, 606, 8484, 15298, 267, 18005, 4957, 519, 2245, 540, 519, 6928, 9250, 676, 519, 3703, 9576, 13108, 543, 1034, 540, 519, 10600, 26010, 269, 769, 5147, 476, 275, 267, 476, 1001, 275, 267, 10348, 10906, 4083, 267, 519, 15596, 10906, 4083, 267, 1031, 519, 28915, 22090, 5652, 1500, 689, 10430, 607, 29080, 13411, 1216, 693, 519, 22745, 16008, 540, 519, 15596, 10906, 267, 519, 15596, 267, 950, 519, 19803, 3903, 729, 547, 5031, 519, 18937, 903, 13108, 607, 513, 2898, 538, 519, 5177, 543, 883, 10430, 269, 634, 2078, 540, 519, 13108, 269, 4340, 547, 3703, 2923, 5359, 267, 10906, 590, 1140, 2851, 1390, 2956, 547, 519, 3356, 540, 670, 5960, 10348, 10906, 267, 543, 519, 26010, 814, 6836, 1169, 1797, 547, 3094, 519, 3870, 540, 519, 15596, 269, 1280, 1383, 267, 519, 15596, 543, 519, 14538, 11504, 519, 16008, 4843, 513, 5458, 14735, 20604, 936, 476, 20065, 6550, 630, 12671, 476, 5611, 13532, 264, 2687, 547, 519, 3337, 540, 519, 8484, 15298, 269, 1656, 593, 519, 14735, 267, 621, 849, 2813, 513, 4605, 540, 519, 15596, 609, 519, 2725, 20446, 538, 519, 3239, 540, 1079, 10492, 543, 2367, 269, 634, 3703, 2923, 729, 12922, 540, 519, 12837, 602, 519, 15596, 1223, 1294, 950, 1352, 4718, 1200, 3239, 593, 519, 14735, 269, 22702, 609, 519, 2136, 8003, 267, 519, 22745, 16008, 540, 519, 2475, 18937, 903, 10617, 4721, 814, 1044, 3592, 24240, 585, 5756, 269, 4595, 519, 2136, 2276, 729, 1031, 547, 20803, 606, 8484, 15298, 609, 519, 2012, 540, 519, 7022, 267, 519, 5449, 1101, 14799, 610, 519, 1101, 20766, 941, 519, 1655, 10457, 547, 2736, 13084, 27158, 593, 519, 15298, 269, 27211, 267, 519, 7385, 540, 5449, 7022, 30370, 3204, 534, 267, 1095, 3660, 936, 519, 22745, 16008, 540, 519, 22008, 301, 268, 10602, 30370, 3204, 534, 269, 1809, 267, 899, 519, 1101, 14799, 543, 6723, 654, 269, 17312, 338, 3993, 22526, 17312, 267, 945, 1185, 1175, 5293, 2476, 267, 593, 5239, 476, 1220, 277, 267, 22526, 17312, 267, 519, 6723, 17312, 267, 729, 4625, 2879, 520, 3481, 676, 1010, 9393, 267, 17312, 543, 1010, 5067, 267, 6723, 654, 269, 17312, 269, 2986, 1576, 267, 676, 4334, 267, 6723, 654, 269, 17312, 338, 7385, 267, 700, 4673, 267, 814, 1175, 18799, 519, 22745, 16008, 540, 519, 9399, 301, 278, 4037, 7147, 26747, 269, 634, 4262, 1449, 1058, 581, 3978, 2991, 11264, 519, 22745, 543, 20803, 267, 519, 10617, 1222, 814, 547, 581, 2417, 9112, 1354, 621, 666, 581, 6192, 269, 4634, 952, 513, 10617, 1222, 568, 8737, 267, 621, 1869, 666, 711, 2047, 6443, 519, 7952, 269, 898, 1590, 10929, 1896, 21448, 540, 2168, 6514, 269, 901, 568, 519, 2168, 6514, 1184, 1354, 543, 1310, 519, 7127, 883, 3028, 269, 769, 2070, 540, 519, 1883, 1909, 540, 8484, 19057, 547, 519, 562, 822, 625, 540, 1585, 2477, 267, 519, 4693, 22116, 540, 8484, 19057, 814, 2141, 1044, 13671, 676, 1585, 2923, 269, 769, 519, 2475, 13108, 267, 519, 22745, 16008, 540, 8484, 15298, 4693, 568, 1419, 4371, 607, 513, 6264, 2680, 269, 769, 2904, 476, 274, 267, 476, 3192, 276, 267, 811, 982, 8938, 8536, 1004, 14754, 519, 4693, 540, 715, 574, 6308, 693, 9098, 7439, 27714, 3490, 269, 634, 3735, 8250, 540, 8098, 12637, 715, 574, 6308, 267, 4258, 3122, 267, 3576, 851, 538, 519, 16008, 267, 1247, 519, 7022, 540, 519, 2136, 2276, 267, 15168, 337, 731, 269, 16110, 267, 729, 519, 8783, 10584, 540, 519, 2898, 16008, 269, 769, 476, 1001, 278, 267, 950, 519, 2475, 13108, 729, 9280, 609, 15168, 337, 731, 16110, 8484, 15298, 267, 922, 4693, 22116, 1223, 849, 581, 1572, 1434, 1404, 269, 1306, 513, 2706, 15298, 4502, 811, 982, 476, 1321, 5479, 476, 12010, 2929, 9489, 267, 519, 2475, 13108, 6829, 9547, 609, 519, 2178, 1379, 540, 519, 15168, 337, 731, 16110, 538, 922, 4693, 22116, 269, 20917, 631, 1638, 514, 267, 16628, 267, 1715, 1636, 5240, 6928, 20761, 1895, 267, 4330, 519, 15168, 337, 731, 16110, 607, 513, 22299, 899, 513, 22299, 267, 1818, 1864, 1589, 540, 513, 1286, 555, 3971, 6117, 513, 1286, 1310, 646, 3893, 1010, 1688, 269, 634, 4605, 2982, 519, 10600, 1101, 6046, 13324, 8484, 15298, 267, 519, 2475, 13055, 8484, 15298, 4262, 4693, 5496, 269, 769, 1249, 267, 3592, 1169, 2475, 26010, 6046, 13324, 8484, 15298, 786, 1397, 15265, 11610, 538, 519, 4693, 269, 769, 5239, 476, 3422, 272, 267, 519, 13055, 6046, 13324, 8484, 15298, 13264, 519, 3432, 2594, 540, 519, 8484, 15298, 538, 519, 1101, 4262, 4693, 269, 634, 772, 269, 590, 269, 18937, 903, 4013, 2594, 26342, 602, 519, 13055, 267, 609, 922, 6046, 13324, 10231, 267, 729, 16207, 3297, 519, 6861, 518, 602, 1058, 723, 1044, 10483, 676, 513, 6046, 13324, 8484, 15298, 267, 1818, 519, 10600, 1101, 6046, 13324, 8484, 15298, 267, 519, 1101, 4262, 1449, 267, 547, 1118, 513, 2462, 3377, 269, 634, 2475, 13108, 814, 24565, 602, 609, 519, 2407, 1379, 540, 6046, 1379, 267, 519, 6046, 13324, 15298, 6370, 1895, 786, 4625, 1689, 519, 3652, 540, 519, 3014, 540, 4262, 30925, 269, 1717, 267, 519, 15168, 337, 731, 16110, 849, 8188, 930, 824, 2042, 16310, 519, 5863, 23603, 1464, 538, 519, 4693, 2196, 269, 3689, 540, 782, 267, 538, 4728, 476, 1001, 278, 267, 513, 13743, 528, 10393, 1185, 513, 2068, 538, 519, 4693, 269, 2991, 1373, 26906, 676, 519, 2319, 540, 8484, 15298, 7189, 267, 621, 729, 9672, 602, 646, 1185, 547, 581, 11843, 547, 519, 13108, 15493, 6413, 269, 16828, 513, 3560, 29357, 2366, 519, 7210, 25501, 547, 519, 25220, 11233, 538, 623, 2176, 17625, 267, 9098, 269, 2311, 519, 942, 267, 1977, 2923, 4080, 602, 513, 1007, 5108, 540, 2475, 13108, 9635, 1185, 11402, 513, 2147, 991, 585, 6595, 15063, 538, 519, 4693, 22116, 269, 769, 5412, 476, 1001, 276, 267, 519, 13343, 19124, 11324, 4240, 513, 13278, 2006, 945, 1185, 513, 2295, 4323, 950, 621, 729, 593, 519, 5032, 540, 19051, 269, 2986, 1576, 267, 519, 3483, 540, 4693, 22116, 568, 711, 3274, 547, 4159, 519, 2773, 610, 15063, 12588, 540, 9635, 267, 855, 547, 16616, 2042, 269, 1717, 267, 519, 2475, 13108, 8484, 15298, 814, 14578, 4988, 909, 519, 1966, 269, 769, 5437, 476, 1001, 272, 267, 519, 2475, 18937, 903, 6723, 17312, 15298, 16802, 856, 513, 15265, 8919, 602, 1500, 519, 2136, 2276, 13108, 865, 19849, 23035, 543, 3592, 4503, 922, 8396, 1379, 602, 519, 476, 277, 5479, 476, 1220, 2929, 910, 4502, 6046, 13324, 2706, 19057, 16003, 1062, 729, 538, 513, 3190, 269, 715, 574, 6308, 1362, 8484, 15298, 814, 811, 982, 476, 9873, 30079, 267, 513, 2698, 540, 476, 275, 2537, 30079, 269, 1809, 519, 3441, 2557, 540, 519, 6723, 17312, 16003, 568, 1360, 1164, 267, 2687, 547, 1977, 2923, 5359, 689, 2904, 476, 1001, 272, 547, 5437, 267, 519, 8484, 15298, 814, 1044, 1079, 2053, 782, 6928, 14191, 944, 666, 711, 581, 1031, 269, 1306, 513, 1267, 267, 519, 4057, 13743, 528, 666, 1152, 3802, 585, 811, 982, 606, 5662, 538, 519, 8484, 15298, 547, 1265, 519, 16003, 602, 666, 581, 1031, 269, 634, 4775, 12284, 3274, 13026, 519, 544, 839, 30079, 543, 9788, 2366, 514, 1564, 693, 519, 7450, 269, 769, 1931, 547, 2569, 1219, 1815, 566, 267, 513, 1804, 1297, 540, 25501, 1185, 547, 6615, 741, 2732, 543, 6704, 1216, 267, 4611, 538, 606, 12176, 540, 3819, 2068, 540, 519, 17256, 8778, 593, 519, 6928, 269, 2991, 513, 2923, 5967, 267, 621, 729, 1336, 602, 519, 6723, 17312, 16003, 1062, 3459, 547, 16802, 689, 4693, 269, 634, 2475, 13108, 6170, 4557, 8536, 3108, 3843, 547, 4194, 519, 1966, 267, 855, 621, 1869, 4607, 811, 982, 476, 1839, 15549, 344, 543, 20286, 513, 3018, 269, 1937, 572, 267, 519, 772, 269, 590, 269, 13108, 814, 1279, 10703, 531, 519, 12889, 540, 519, 15298, 16003, 1062, 267, 2394, 513, 9635, 11299, 3993, 18085, 7703, 547, 16802, 883, 519, 2923, 547, 16616, 519, 1966, 269, 634, 4605, 568, 519, 4262, 4693, 4605, 540, 519, 1977, 26010, 16110, 15298, 4475, 267, 538, 519, 2663, 15168, 337, 731, 16110, 543, 519, 3703, 10348, 10906, 1646, 1184, 267, 519, 16003 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2443, 18043, 7650, 6227, 2589, 267, 2126, 267, 6604, 540, 713, 1419, 2597, 5829, 2783, 269, 634, 2832, 540, 23235, 1826, 476, 273, 3987, 568, 547, 2061, 16349, 9019, 543, 2061, 269, 547, 7355, 13988, 547, 519, 3486, 1201, 324, 1862, 0, 14106, 1302, 5381, 14272, 720, 454, 29834, 8108, 2699, 3905, 4401, 538, 13622, 593, 606, 341, 559, 269, 2349, 2931, 19431, 538, 585, 613, 20054, 17200, 3905, 4496, 593, 606, 341, 559, 269, 19045, 585, 3101, 269, 19171, 909, 540, 3905, 4401, 593, 606, 341, 559, 17051, 19431, 269, 12182, 4401, 593, 606, 341, 559, 538, 13186, 454, 15542, 800, 9441, 7432, 682, 951, 593, 4496, 11529, 3684, 585, 2694, 4393, 454, 29148, 909, 8929, 540, 585, 3101, 29586, 267, 2367, 1118, 9640, 327, 3996, 585, 9640, 609, 519, 946, 540, 3905, 5374, 610, 4401, 267, 519, 4487, 20054, 519, 2699, 9640, 21539, 609, 513, 17200, 454, 7922, 2931, 19431, 568, 1210, 2413, 17453, 17200, 585, 2220, 1645, 4496, 1282, 585, 3101, 269, 1261, 568, 2322, 1469, 593, 3490, 543, 8066, 896, 20054, 267, 7432, 267, 2673, 5346, 454, 7922, 2931, 19431, 568, 2324, 538, 585, 613, 269, 1261, 568, 6721, 9640, 21539, 267, 25588, 621, 543, 7432, 267, 1225, 1324, 593, 606, 341, 559, 267, 2673, 5346, 540, 3946, 538, 17309, 454, 2690, 3455, 568, 18644, 2699, 3905, 5374, 1469, 269, 1261, 568, 1210, 1804, 5230, 521, 1578, 5069, 1067, 267, 1225, 1324, 21536, 2280, 2073, 14084, 593, 606, 1651, 639, 563, 7922, 2931, 19431, 960, 3336, 269, 1280, 3101, 5374, 3684, 3330, 4853, 2030, 269, 15775, 513, 2699, 3620, 582, 1469, 513, 1106, 896, 519, 5458, 2604, 454, 17556, 601, 6656, 3001, 593, 2504, 1899, 693, 12051, 269, 14409, 4496, 6656, 593, 4496, 11529, 3684, 538, 13186, 269, 19007, 4496, 1469, 593, 4496, 11529, 2030, 454, 299, 7752, 3684, 4393, 5374, 1469, 593, 4496, 11529, 12051, 269, 595, 333, 322, 3684, 2504, 4496, 1469, 693, 4853, 12051, 269, 19045, 11529, 1184, 593, 13128, 3937, 454, 19226, 1639, 2472, 540, 5230, 2872, 269, 27842, 540, 8737, 2472, 540, 4496, 11529, 13186, 269, 32255, 5374, 2694, 269, 19672, 540, 4853, 3937, 454, 7922, 2931, 19431, 25588, 3905, 4401, 609, 17200, 593, 606, 606, 341, 559, 269, 2349, 2931, 19431, 585, 3101, 4401, 693, 13186, 563, 7922, 2931, 19431, 585, 2471, 3905, 4401, 538, 519, 585, 613, 269, 2349, 2931, 19431, 20054, 3905, 4401, 609, 513, 17200, 593, 606, 341, 559, 538, 513, 585, 613, 269, 13583, 675, 540, 585, 3022, 2472, 563, 21545, 687, 540, 713, 2985, 12261, 676, 5616, 269, 0, 21010, 532, 2274, 777, 18289, 547, 519, 8641, 454, 1432, 568, 2274, 777, 18289, 543, 717, 788, 6062, 888, 2026, 835, 540, 519, 5697, 1788, 585, 519, 717, 3383, 290, 630, 11386, 14400, 540, 8943, 264, 538, 476, 276, 1296, 630, 1220, 280, 1107, 476, 1001, 274, 1070, 717, 788, 6062, 568, 606, 1930, 21299, 3060, 2079, 543, 3308, 5314, 3301, 10189, 2854, 538, 10084, 563, 1607, 3381, 676, 7917, 744, 685, 8867, 776, 2982, 875, 2274, 777, 18289, 666, 581, 1031, 547, 1852, 513, 3113, 11768, 269, 901, 1788, 2919, 593, 713, 1523, 676, 8220, 2274, 777, 18289, 547, 513, 1950, 1804, 8397, 3113, 1210, 717, 788, 6062, 630, 613, 12978, 3820, 264, 607, 519, 3760, 585, 3308, 5314, 563, 1607, 3381, 2982, 930, 1239, 1373, 16041, 689, 519, 1530, 15247, 543, 16510, 8189, 1857, 3896, 267, 1792, 3139, 547, 519, 11422, 267, 543, 21235, 607, 513, 476, 274, 291, 5680, 21923, 3113, 269, 634, 8254, 538, 519, 476, 274, 291, 2230, 666, 581, 6417, 1210, 519, 2274, 777, 18289, 269, 2274, 777, 307, 1778, 518, 12459, 338, 17267, 616, 1031, 547, 9594, 11768, 6620, 602, 606, 1493, 519, 3113, 9136, 543, 4296, 883, 1007, 7158, 269, 0, 7197, 1004, 1265, 2620, 1922, 3072, 3536, 971, 607, 18008, 535, 1845, 267, 22304, 530, 2632, 976, 267, 543, 22323, 14034, 22023, 626, 1043, 1813, 547, 741, 17705, 2470, 269, 10251, 267, 789, 2709, 596, 1360, 2370, 9422, 1871, 543, 789, 666, 1118, 596, 7925, 547, 5312, 1072, 8374, 269, 1703, 779, 1100, 27102, 519, 1249, 602, 2067, 9600, 538, 1426, 899, 10808, 543, 25636, 616, 4105, 585, 707, 2949, 1072, 543, 9716, 269, 1717, 267, 10438, 22304, 9761, 3536, 616, 3833, 14432, 269, 1548, 616, 519, 12178, 540, 22304, 3536, 888, 272, 269, 20506, 28100, 454, 28848, 22304, 3536, 593, 513, 2834, 4493, 666, 2322, 707, 6797, 693, 1981, 269, 1411, 6157, 991, 547, 1589, 7466, 1354, 11423, 707, 6676, 609, 9761, 22304, 3536, 269, 2659, 6797, 568, 835, 540, 519, 4102, 543, 1034, 1271, 8219, 538, 707, 1560, 269, 634, 6797, 4249, 513, 4105, 1909, 538, 8840, 1524, 519, 3536, 596, 8532, 1282, 12536, 269, 17054, 3536, 723, 513, 5318, 5763, 540, 3170, 543, 8501, 799, 723, 519, 2702, 547, 2333, 519, 24913, 540, 707, 6797, 269, 1879, 713, 4105, 1418, 568, 8572, 547, 2736, 1524, 782, 519, 9600, 596, 8532, 267, 621, 666, 1291, 547, 513, 5312, 6797, 17966, 618, 1634, 607, 513, 9761, 6797, 799, 5012, 547, 6797, 29840, 563, 273, 269, 16842, 25667, 11485, 454, 293, 3072, 3536, 616, 3743, 585, 519, 2799, 2665, 540, 8377, 2066, 519, 8608, 269, 3509, 1004, 1810, 1406, 1589, 540, 519, 4539, 540, 10438, 14432, 22304, 3536, 2394, 621, 779, 1932, 3735, 585, 873, 269, 1452, 3536, 616, 1655, 1634, 585, 741, 1164, 2157, 540, 8501, 543, 9600, 269, 1635, 4189, 9761, 22304, 3536, 267, 707, 17811, 6981, 4679, 3648, 267, 3056, 547, 8377, 269, 15043, 8377, 2306, 596, 7925, 547, 824, 5312, 1072, 8374, 971, 607, 1826, 476, 273, 3987, 267, 18116, 267, 2295, 6285, 543, 7244, 4713, 563, 274, 269, 31292, 15302, 454, 2005, 568, 25031, 602, 1082, 1004, 723, 2919, 606, 14031, 585, 17705, 22304, 3536, 782, 936, 519, 1158, 269, 1306, 513, 1267, 267, 519, 1297, 540, 9025, 3676, 9601, 8952, 2810, 693, 606, 24034, 2557, 269, 14856, 22304, 3536, 593, 513, 3232, 4493, 27875, 596, 547, 2295, 1700, 22366, 22074, 538, 865, 1082, 2081, 269, 3117, 11167, 22304, 3536, 4679, 707, 8501, 2157, 3648, 267, 6028, 596, 11630, 547, 2295, 5829, 3676, 971, 607, 2295, 6285, 543, 2295, 5821, 563, 275, 269, 16842, 12128, 11485, 454, 8256, 11167, 22304, 3536, 5781, 666, 2322, 707, 1072, 693, 1981, 1813, 547, 741, 2799, 5834, 540, 15459, 9600, 543, 8501, 269, 14856, 9761, 22304, 3536, 786, 1267, 538, 8377, 799, 786, 267, 538, 2490, 267, 4482, 824, 2942, 1072, 6286, 971, 607, 7378, 5706, 1218, 543, 1826, 476, 273, 3987, 269, 4658, 945, 723, 513, 6492, 585, 22304, 3536, 971, 607, 3943, 535, 1845, 1851, 1866, 616, 693, 513, 2362, 1981, 540, 3384, 3987, 607, 3379, 547, 1346, 945, 2936, 2635, 4189, 6208, 563, 276, 269, 16842, 24093, 540, 9435, 454, 4692, 1356, 568, 513, 21472, 1072, 28658, 602, 568, 3743, 585, 9118, 7972, 2066, 519, 1158, 269, 2657, 4966, 24633, 602, 10438, 22304, 3536, 971, 607, 18008, 535, 1845, 267, 14859, 22756, 267, 22304, 9269, 543, 22304, 3165, 593, 513, 2834, 4493, 666, 2333, 707, 8458, 540, 3384, 6089, 2860, 543, 17150, 2860, 1851, 1866, 563, 763, 5377, 1899, 568, 602, 4616, 540, 7050, 22304, 3536, 568, 3983, 585, 707, 1072, 1813, 547, 741, 1164, 5834, 540, 8477, 267, 8501, 267, 543, 15459, 9600, 269, 1635, 12145, 891, 3536, 538, 707, 2732, 596, 2333, 519, 4960, 540, 9319, 5312, 543, 5732, 14686, 2068, 269, 0, 268, 634, 7969, 2506, 12378, 281, 589, 14635, 540, 10749, 454, 763, 4367, 6257, 875, 267, 5103, 519, 27929, 543, 7683, 14866, 32328, 2797, 1533, 540, 7977, 538, 519, 5553, 1354, 796, 2305, 267, 7969, 791, 516, 572, 1496, 17484, 8525, 476, 14695, 274, 316, 941, 4535, 538, 606, 2907, 19618, 7499, 543, 5339, 2245, 269, 1358, 7960, 689, 2043, 262, 6698, 267, 7361, 998, 519, 2238, 540, 3537, 12562, 267, 883, 519, 9053, 1106, 540, 12572, 4082, 540, 513, 2647, 3099, 540, 5238, 267, 1312, 2482, 543, 3235, 27036, 20292, 269, 634, 3702, 550, 1761, 585, 946, 607, 6698, 540, 18408, 540, 7881, 543, 5132, 267, 543, 3486, 10009, 799, 1223, 7048, 593, 513, 3838, 2245, 540, 8106, 2528, 543, 1419, 593, 513, 1455, 1893, 267, 3366, 547, 12526, 609, 824, 30118, 1738, 3029, 269, 634, 3594, 3732, 519, 3099, 540, 519, 4611, 721, 1137, 563, 1103, 834, 3412, 2181, 572, 607, 2506, 21793, 281, 634, 3864, 3115, 16615, 540, 606, 1412, 2005, 6501, 262, 2637, 516, 2437, 10842, 334, 1488, 321, 11170, 18223, 2982, 875, 519, 3312, 10747, 10206, 540, 519, 791, 25564, 607, 606, 4082, 540, 606, 1367, 581, 13145, 781, 10703, 527, 729, 1419, 3138, 657, 2989, 267, 543, 519, 791, 25564, 3357, 547, 4196, 538, 519, 27867, 2540, 267, 2523, 609, 519, 20908, 7057, 267, 607, 513, 3090, 540, 513, 8471, 5048, 267, 540, 513, 5837, 840, 1061, 610, 513, 5168, 540, 5132, 267, 899, 519, 30118, 267, 543, 609, 28706, 14235, 610, 18340, 6085, 2456, 269, 769, 835, 2013, 538, 1249, 2443, 320, 1686, 540, 519, 1101, 2540, 540, 519, 20908, 3726, 1931, 2443, 1492, 960, 4667, 547, 2721, 593, 1312, 5389, 269, 769, 1776, 267, 1498, 519, 2592, 834, 716, 1302, 723, 791, 25564, 4162, 2437, 789, 616, 1572, 834, 655, 21793, 4799, 306, 8205, 631, 25377, 328, 9497, 294, 328, 990, 1470, 781, 12480, 690, 334, 1642, 548, 791, 516, 572, 17740, 926, 552, 993, 528, 846, 543, 519, 7467, 257, 3738, 5267, 602, 519, 12480, 690, 334, 267, 2356, 1224, 1152, 607, 519, 3355, 3561, 540, 519, 7766, 7811, 5717, 267, 949, 581, 2938, 2864, 607, 606, 3693, 267, 1256, 607, 519, 7583, 332, 1588, 540, 1010, 960, 540, 1582, 268, 5570, 655, 2610, 607, 513, 31796, 23266, 540, 791, 516, 572, 538, 1010, 9754, 630, 852, 4503, 267, 855, 7361, 9156, 762, 593, 519, 4493, 540, 17005, 2963, 1916, 12507, 3821, 2836, 629, 761, 1729, 9497, 18131, 781, 1955, 2181, 572, 538, 16902, 1503, 30790, 15570, 3250, 328, 781, 2274, 791, 516, 572, 3879, 686, 3738, 257, 12116, 791, 516, 572, 540, 8370, 2021, 538, 15570, 3250, 328, 781, 4015, 543, 2982, 602, 891, 2021, 16309, 538, 6340, 540, 741, 1378, 7907, 540, 4987, 543, 5837, 7115, 267, 1256, 952, 1369, 519, 7182, 540, 519, 25516, 6788, 540, 513, 5256, 26730, 3990, 18211, 7095, 2486, 563, 294, 328, 2224, 28500, 595, 2444, 7748, 9497, 293, 3342, 1993, 807, 552, 3868, 1794, 7748, 2184, 3821, 562, 749, 262, 16402, 11985, 1019, 30408, 966, 281, 661, 6652, 15879, 267, 1325, 857, 6737, 267, 561, 262, 30118, 1738, 320, 834, 3738, 11394, 547, 1397, 602, 930, 540, 1325, 857, 6737, 781, 900, 21793, 949, 581, 1224, 607, 2966, 547, 1857, 1125, 513, 2797, 3069, 11840, 730, 676, 661, 6652, 16443, 543, 717, 3430, 514, 4673, 267, 543, 547, 4196, 519, 5137, 540, 513, 1007, 3864, 2797, 16918, 602, 1522, 1683, 606, 4244, 547, 11440, 4566, 585, 519, 22058, 26559, 6650, 4512, 269, 1717, 519, 3877, 540, 519, 16957, 569, 834, 531, 1181, 894, 257, 4507, 540, 713, 28422, 24809, 543, 834, 574, 704, 658, 4566, 540, 22058, 26559, 6650, 4512, 257, 616, 1360, 15458, 543, 3100, 12691, 538, 2070, 540, 717, 3430, 514, 4673, 781, 2990, 269, 9282, 646, 4280, 661, 6652, 16443, 547, 14377, 543, 15476, 667, 14397, 781, 1546, 16313, 807, 267, 519, 8545, 1629, 13899, 1317, 646, 5156, 11440, 4566, 585, 1158, 21257, 1223, 1152, 1291, 547, 513, 29083, 540, 1459, 3984, 1988, 269, 1306, 585, 1325, 857, 6737, 781, 851, 267, 595, 2444, 7748, 5337, 2803, 519, 12225, 1108, 540, 519, 900, 21793, 630, 18314, 540, 519, 2185, 900, 21793, 11855, 4266, 689, 519, 476, 15150, 277, 7160, 1040, 634, 2243, 540, 1325, 857, 6737, 781, 19121, 720, 543, 1093, 2000, 527, 673, 10121, 2906, 538, 519, 476, 13923, 271, 338, 543, 538, 519, 1974, 689, 1010, 2132, 689, 25816, 2471, 547, 476, 15150, 277, 267, 950, 1312, 661, 6652, 16443, 543, 717, 3430, 514, 4673, 941, 4666, 267, 568, 1950, 543, 6825, 676, 19385, 766, 593, 1010, 851, 547, 6556, 547, 11440, 7569, 563, 2304, 3534, 3057, 534, 7236, 9497, 262, 8624, 521, 3317, 334, 552, 598, 3288, 812, 334, 262, 2433, 28438, 267, 17217, 543, 7435, 538, 13507, 545, 28298, 257, 3738, 9832, 4922, 936, 8106, 267, 10120, 267, 11193, 267, 543, 25724, 5931, 267, 711, 1152, 7969, 855, 3864, 3622, 267, 547, 4766, 519, 1496, 17484, 8525, 476, 14695, 275, 316, 14759 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 842, 273, 815, 476, 280, 692, 6112, 703, 273, 285, 284, 272, 23241, 825, 703, 272, 815, 476, 272, 454, 825, 1247, 703, 272, 27045, 280, 912, 1038, 952, 703, 272, 27045, 842, 273, 912, 2018, 1820, 17301, 272, 2437, 311, 2580, 842, 273, 2437, 284, 2580, 842, 272, 265, 842, 273, 2437, 315, 339, 2580, 754, 284, 3269, 994, 1038, 703, 272, 815, 703, 272, 1341, 272, 454, 825, 1820, 19629, 333, 5602, 825, 703, 273, 815, 703, 273, 910, 272, 0, 5035, 13648, 518, 912, 825, 6449, 11243, 815, 834, 4840, 825, 6449, 720, 476, 815, 476, 271, 692, 825, 1219, 1205, 11243, 4311, 2187, 1038, 2132, 1582, 14857, 11243, 454, 825, 1219, 1305, 11243, 4311, 267, 4067, 2187, 1038, 1582, 14857, 11243, 815, 2012, 454, 825, 1219, 1205, 21848, 4311, 2187, 1038, 2132, 1582, 14857, 720, 454, 825, 1219, 1305, 21848, 4311, 267, 720, 2187, 1038, 1582, 14857, 720, 815, 2085, 454, 825, 1219, 22614, 483, 362, 421, 354, 511, 4311, 2187, 1038, 1780, 454, 5035, 13648, 518, 273, 18154, 809, 518, 2187, 825, 1219, 22614, 480, 496, 420, 493, 506, 4311, 2187, 1038, 1780, 692, 5035, 13648, 518, 274, 18154, 809, 518, 273, 2187, 825, 1219, 22614, 483, 362, 421, 354, 511, 4311, 2187, 1038, 1820, 2891, 16043, 495, 15159, 421, 354, 511, 417, 510, 480, 27962, 27747, 486, 417, 480, 483, 267, 10524, 488, 23946, 368, 2580, 1345, 10947, 21848, 19572, 257, 417, 366, 479, 267, 10524, 488, 14035, 358, 23989, 418, 376, 498, 22047, 17276, 501, 510, 30830, 367, 18263, 489, 27384, 488, 32405, 825, 1219, 22614, 480, 496, 420, 493, 506, 4311, 2187, 1038, 1820, 2891, 16043, 495, 15159, 421, 354, 511, 417, 510, 480, 27962, 27747, 486, 417, 480, 483, 2580, 1345, 10947, 11243, 19572, 2580, 10524, 488, 14035, 358, 23989, 418, 376, 498, 22047, 476, 20001, 352, 27384, 496, 25426, 375, 25426, 375, 10590, 2020, 5035, 4530, 912, 825, 1219, 1449, 4311, 2187, 1038, 3434, 518, 815, 13648, 518, 274, 4590, 1038, 3434, 518, 15630, 21848, 263, 1839, 994, 1038, 3434, 518, 15630, 11243, 2891, 10524, 487, 417, 502, 487, 20001, 487, 5602, 1038, 3434, 518, 269, 419, 483, 362, 421, 354, 511, 4590, 1038, 3434, 518, 269, 27384, 496, 420, 493, 506, 4590, 11687, 815, 4530, 4590, 11687, 6745, 652, 3890, 0, 320, 284, 271, 454, 321, 284, 271, 454, 6112, 513, 283, 1911, 912, 825, 513, 30381, 266, 272, 454, 825, 536, 284, 321, 266, 320, 454, 825, 1820, 2891, 21588, 361, 2580, 320, 2437, 418, 361, 350, 23523, 359, 27064, 363, 26142, 339, 29146, 12255, 29219, 20992, 24333, 321, 264, 0, 5035, 476, 27730, 13200, 509, 32352, 10031, 825, 6449, 417, 356, 497, 12571, 491, 815, 834, 4840, 825, 6449, 23946, 368, 421, 378, 482, 815, 476, 271, 454, 825, 1219, 1305, 11243, 4311, 267, 11243, 2187, 1038, 1582, 14857, 417, 356, 497, 12571, 491, 815, 8745, 454, 825, 1219, 1205, 11243, 4311, 2187, 1038, 2132, 1582, 14857, 417, 356, 497, 12571, 491, 454, 825, 1219, 1305, 21848, 4311, 267, 21848, 2187, 1038, 1582, 14857, 23946, 368, 421, 378, 482, 815, 6520, 454, 825, 1219, 1205, 21848, 4311, 2187, 1038, 2132, 1582, 14857, 23946, 368, 421, 378, 482, 692, 825, 1219, 476, 10524, 489, 14756, 491, 4311, 2187, 1038, 1820, 2891, 27962, 14395, 370, 417, 354, 377, 8147, 16043, 495, 9463, 360, 2580, 1345, 14857, 417, 356, 497, 12571, 491, 2437, 8147, 10524, 488, 23946, 368, 2580, 1345, 14857, 23946, 368, 421, 378, 482, 2437, 417, 366, 479, 29072, 5405, 479, 5602, 825, 1219, 13127, 363, 373, 30006, 498, 4311, 267, 417, 480, 375, 20881, 376, 273, 2187, 1038, 952, 1582, 14857, 23946, 368, 421, 378, 482, 285, 417, 480, 375, 20881, 376, 273, 912, 2018, 2132, 834, 16043, 495, 30006, 498, 12571, 490, 418, 350, 490, 27962, 257, 266, 1598, 4311, 14857, 23946, 368, 421, 378, 482, 268, 417, 480, 375, 20881, 376, 273, 11924, 257, 417, 366, 479, 5405, 479, 4840, 1038, 8640, 1582, 14857, 23946, 368, 421, 378, 482, 283, 417, 480, 375, 20881, 376, 273, 912, 2018, 2132, 476, 834, 16043, 495, 30006, 498, 12571, 490, 418, 350, 490, 16533, 493, 257, 266, 1598, 263, 417, 480, 375, 20881, 376, 273, 268, 1345, 14857, 23946, 368, 421, 378, 482, 11924, 257, 417, 366, 479, 5405, 479, 4840, 1038, 8640, 1582, 14857, 23946, 368, 421, 378, 482, 2652, 13127, 480, 375, 20881, 376, 273, 912, 2018, 2132, 834, 16043, 495, 25520, 12571, 490, 418, 350, 490, 13601, 21550, 371, 27962, 5405, 479, 4840, 5035, 17276, 369, 489, 13644, 499, 32352, 10031, 825, 524, 272, 815, 476, 27730, 13200, 509, 32352, 4590, 825, 524, 272, 15630, 21848, 263, 1839, 994, 825, 524, 272, 15630, 11243, 2891, 417, 480, 375, 20881, 376, 272, 5602, 825, 524, 273, 815, 476, 27730, 13200, 509, 32352, 4590, 825, 524, 273, 15630, 21848, 263, 2767, 994, 825, 524, 273, 15630, 11243, 2891, 417, 480, 375, 20881, 376, 273, 5602, 825, 524, 272, 269, 10524, 489, 14756, 491, 4590, 825, 524, 273, 269, 10524, 489, 14756, 491, 4590, 825, 1820, 6262, 273, 269, 28098, 30006, 498, 6262, 272, 10947, 21848, 3890, 4297, 0, 18257, 7078, 5124, 1362, 18411, 5035, 3733, 12218, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 6889, 2580, 1003, 284, 1015, 2187, 1038, 1820, 2891, 17746, 1192, 528, 5602, 1038, 1582, 20508, 284, 4067, 454, 1038, 1582, 8542, 636, 284, 11133, 454, 0, 343, 272, 815, 703, 9272, 15405, 344, 272, 815, 703, 9272, 15405, 343, 273, 815, 703, 9272, 15405, 344, 273, 815, 703, 9272, 31156, 11459, 815, 630, 343, 272, 910, 1535, 273, 264, 2878, 476, 273, 454, 11276, 815, 630, 344, 272, 910, 586, 273, 264, 2878, 476, 273, 692, 323, 815, 15848, 1341, 10085, 692, 604, 546, 10922, 476, 273, 912, 825, 1820, 2891, 312, 2464, 5602, 12828, 912, 825, 1820, 2891, 17472, 5602, 0, 11133, 815, 703, 9272, 31156, 604, 476, 271, 10922, 1003, 10922, 476, 1911, 912, 825, 1820, 263, 273, 1262, 11133, 994, 0, 11133, 815, 703, 9272, 31156, 2745, 16325, 12262, 476, 1911, 1341, 1003, 4939, 476, 1911, 12262, 476, 1015, 1341, 1003, 4939, 476, 1911, 4939, 476, 1015, 994, 0, 258, 935, 591, 974, 2191, 520, 3120, 454, 325, 1695, 815, 3403, 2891, 1103, 845, 324, 579, 2742, 2191, 520, 3120, 900, 535, 16366, 16948, 1583, 6460, 5866, 281, 19515, 4897, 815, 630, 15615, 6600, 1695, 9984, 3953, 12684, 276, 270, 280, 692, 2745, 2891, 288, 2191, 520, 3120, 267, 14307, 325, 1695, 2437, 655, 524, 16364, 20527, 14307, 4897, 264, 0, 11133, 815, 703, 9272, 2891, 1103, 845, 324, 522, 562, 14243, 1067, 334, 513, 1583, 1474, 5964, 281, 834, 11723, 31184, 815, 476, 271, 454, 338, 5448, 815, 476, 271, 692, 6112, 1003, 11203, 476, 271, 912, 453, 31184, 815, 1003, 12262, 476, 1015, 454, 453, 338, 5448, 815, 1474, 320, 1341, 630, 11133, 4939, 476, 1015, 994, 453, 11133, 815, 10917, 692, 2745, 2891, 288, 1474, 320, 20527, 281, 14307, 338, 5448, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 1103, 4937, 912, 2252, 536, 1299, 25885, 282, 476, 271, 267, 29196, 24505, 454, 2252, 536, 1299, 2741, 282, 476, 271, 267, 29196, 667, 32052, 454, 7078, 476, 274, 454, 1892, 21744, 519, 20793, 8008, 292, 786, 1689, 519, 454, 4306, 7417, 14149, 8577, 540, 707, 2385, 1599, 269, 4746, 454, 21406, 12701, 610, 16756, 563, 20877, 535, 3287, 264, 815, 1535, 543, 519, 1739, 593, 519, 1482, 3113, 563, 24718, 519, 3113, 609, 519, 3113, 540, 535, 3287, 264, 815, 1535, 454, 325, 3287, 264, 815, 1535, 454, 320, 269, 535, 3287, 264, 815, 476, 274, 343, 454, 17556, 4177, 610, 853, 4958, 577, 454, 321, 269, 535, 3287, 264, 815, 1299, 2765, 1321, 282, 1535, 454, 27832, 14869, 610, 1744, 8667, 454, 322, 269, 535, 3287, 264, 815, 910, 273, 343, 454, 8269, 937, 338, 543, 454, 17556, 4177, 270, 1805, 4958, 577, 454, 1103, 4937, 585, 32437, 912, 31220, 2252, 1923, 332, 347, 1299, 25885, 282, 476, 271, 267, 1287, 519, 3113, 568, 5254, 7417, 25807, 454, 528, 513, 5254, 3918, 307, 6224, 563, 31220, 2252, 476, 271, 261, 2741, 282, 1923, 332, 347, 1299, 2741, 282, 476, 272, 630, 21353, 1227, 513, 6824, 1447, 982, 454, 821, 1070, 1287, 519, 3113, 568, 700, 8577, 5254, 7417, 303, 610, 513, 454, 306, 16281, 2562, 298, 563, 31220, 2252, 544, 568, 715, 9680, 288, 20937, 2073, 1287, 519, 3113, 454, 3918, 293, 28421, 4811, 563, 29094, 454, 4089, 476, 275, 268, 278, 454, 303, 326, 269, 476, 29214, 268, 29045, 454, 1691, 910, 476, 1704, 2676, 2537, 910, 476, 4097, 267, 476, 4375, 267, 476, 6078, 267, 476, 5655, 454, 3499, 0, 23086, 634, 4804, 10418, 692, 1892, 1403, 519, 13392, 3230, 1314, 317, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 2330, 3112, 581, 3815, 2213, 630, 528, 952, 596, 3112, 11593, 3313, 922, 2188, 1070, 519, 3435, 616, 2016, 676, 519, 4542, 912, 259, 343, 815, 1422, 2765, 24877, 321, 315, 10975, 25490, 15830, 317, 273, 268, 275, 659, 12453, 273, 320, 21456, 1607, 4542, 949, 581, 1031, 547, 3489, 519, 3435, 540, 1022, 13392, 3830, 563, 1892, 1280, 1383, 281, 4194, 1109, 2330, 274, 343, 317, 273, 910, 476, 1428, 343, 1341, 476, 1704, 815, 476, 280, 9681, 305, 792, 337, 4474, 547, 2285, 3230, 274, 1535, 3867, 273, 348, 910, 476, 1428, 1535, 1341, 476, 279, 815, 476, 271, 16465, 1892, 476, 273, 1483, 3435, 630, 23085, 1040, 901, 4523, 950, 630, 2330, 321, 317, 273, 268, 476, 275, 659, 2330, 264, 568, 2318, 563, 1892, 476, 272, 1483, 3070, 630, 10174, 1040, 901, 4523, 950, 630, 2330, 321, 317, 273, 268, 476, 275, 659, 2330, 264, 568, 476, 271, 563, 1892, 476, 271, 1109, 9418, 3435, 630, 23085, 1040, 901, 4523, 950, 630, 2330, 321, 317, 273, 268, 476, 275, 659, 2330, 264, 568, 2942, 269, 0, 9008, 540, 2985, 454, 15507, 692, 258, 1215, 1677, 281, 14419, 519, 2549, 870, 540, 31786, 10261, 539, 630, 528, 654, 3430, 720, 264, 585, 7102, 18740, 692, 4415, 865, 1082, 1114, 5546, 267, 7306, 543, 6163, 540, 1769, 26892, 2139, 267, 621, 568, 2653, 547, 7340, 602, 789, 2965, 4196, 513, 1483, 3483, 2507, 4033, 982, 547, 1413, 7168, 267, 540, 1576, 2439, 25748, 267, 594, 4076, 1185, 513, 1297, 540, 23965, 3914, 856, 547, 2307, 952, 519, 1769, 20856, 675, 267, 669, 28888, 1512, 610, 20805, 656, 267, 3092, 269, 789, 5063, 12349, 786, 581, 2614, 1769, 630, 528, 1932, 1454, 1769, 264, 585, 741, 2230, 780, 11039, 267, 594, 723, 513, 2241, 1505, 547, 1265, 856, 2439, 2005, 666, 3100, 899, 513, 18447, 4305, 547, 4137, 856, 875, 1454, 1769, 568, 2877, 538, 1022, 4055, 267, 855, 594, 26924, 596, 267, 621, 568, 2241, 2507, 2353, 596, 991, 568, 2596, 2979, 543, 519, 7403, 540, 519, 3259, 543, 8700, 540, 519, 4055, 538, 3952, 2439, 2414, 12433, 654, 3430, 720, 10261, 539, 585, 7102, 18740, 1384, 2005, 4992, 899, 621, 1522, 581, 7294, 267, 855, 621, 2731, 568, 1175, 2241, 2979, 2439, 2414, 1376, 267, 782, 596, 991, 547, 798, 568, 9062, 519, 3259, 540, 519, 4055, 538, 3952, 676, 519, 8700, 540, 519, 4055, 538, 3952, 269, 901, 786, 2285, 596, 519, 4009, 22089, 780, 2690, 1383, 267, 513, 476, 1626, 3723, 1279, 676, 476, 1691, 3723, 2647, 4055, 814, 513, 4009, 22089, 2698, 540, 476, 23470, 780, 5629, 596, 723, 519, 4009, 22089, 540, 519, 4055, 267, 596, 666, 946, 621, 547, 5173, 875, 1454, 26910, 720, 596, 786, 991, 547, 1769, 519, 4055, 780, 763, 2601, 519, 26910, 720, 9819, 568, 1271, 568, 1317, 1034, 1651, 663, 27853, 8654, 26892, 723, 513, 5021, 26910, 720, 7396, 780, 2690, 1383, 267, 513, 476, 277, 2000, 697, 669, 28888, 1512, 602, 3096, 1651, 663, 27853, 15620, 1522, 723, 513, 5021, 26910, 720, 540, 476, 2568, 26334, 829, 1769, 267, 585, 513, 2698, 540, 476, 11740, 26334, 585, 519, 20856, 675, 269, 1215, 1131, 596, 917, 952, 476, 11740, 26334, 568, 2614, 585, 707, 1079, 3613, 800, 535, 1195, 518, 1769, 286, 2107, 568, 476, 11740, 26334, 936, 26973, 585, 519, 15982, 14254, 562, 809, 2496, 2414, 5173, 519, 2698, 26910, 720, 2877, 267, 9062, 707, 4009, 22089, 676, 476, 272, 269, 276, 780, 7883, 532, 1394, 547, 938, 1383, 540, 519, 476, 1626, 685, 676, 476, 1691, 685, 4055, 267, 799, 814, 513, 4009, 22089, 540, 476, 23470, 267, 649, 1131, 9062, 476, 23470, 676, 476, 272, 269, 276, 543, 1205, 476, 28656, 26334, 780, 763, 2489, 8654, 538, 519, 4055, 786, 991, 547, 3914, 519, 476, 28656, 26334, 1665, 547, 2327, 972, 568, 7899, 540, 2949, 1769, 780, 763, 476, 274, 7756, 17796, 540, 8752, 281, 4937, 31786, 267, 17130, 31786, 543, 6452, 550, 31786, 692, 14197, 31786, 692, 1432, 568, 2489, 8654, 543, 1946, 568, 621, 1271, 286, 4937, 8654, 267, 610, 19355, 8654, 267, 2488, 513, 6899, 1377, 540, 21386, 267, 3850, 4896, 547, 1294, 543, 3802, 1472, 538, 519, 4055, 9108, 780, 2005, 568, 849, 4330, 607, 519, 11255, 4528, 540, 2596, 7943, 543, 568, 519, 1292, 1898, 585, 1022, 8654, 1544, 780, 763, 1655, 26892, 602, 1683, 2489, 8654, 585, 513, 4055, 616, 669, 28888, 4536, 267, 20805, 1218, 267, 23574, 543, 10859, 22286, 2313, 4410, 338, 543, 3774, 521, 935, 806, 269, 4635, 513, 2036, 334, 540, 891, 1769, 2010, 786, 2285, 596, 519, 1655, 2949, 8654, 538, 519, 4055, 543, 1711, 3308, 1719, 1932, 780, 5194, 1271, 1826, 540, 8654, 568, 4305, 8654, 269, 1656, 9811, 267, 568, 621, 4010, 1018, 621, 4992, 899, 269, 17130, 8654, 568, 1031, 585, 7900, 4247, 799, 2154, 811, 1463, 1769, 585, 519, 1808, 1858, 596, 616, 2324, 538, 780, 290, 8504, 267, 7311, 1118, 5346, 267, 3257, 6780, 267, 2324, 593, 12348, 267, 4730, 3756, 610, 2542, 2835, 786, 2154, 513, 1463, 2707, 540, 1769, 2864, 982, 1175, 519, 2489, 8654, 3177, 538, 519, 4055, 269, 7305, 543, 11380, 22311, 267, 18711, 6186, 3774, 521, 935, 806, 267, 896, 22277, 8654, 267, 8602, 8709, 640, 267, 10051, 6532, 543, 3915, 328, 731, 8279, 616, 782, 1806, 540, 4305, 20218, 1769, 26892, 780, 2791, 666, 5173, 875, 1454, 4305, 8654, 26910, 720, 568, 2838, 1210, 519, 1482, 1505, 607, 4505, 269, 15439, 5173, 519, 4009, 22089, 540, 519, 2627, 1858, 596, 991, 811, 1463, 8654, 593, 267, 971, 607, 513, 11380, 610, 4831, 269, 25092, 519, 4009, 22089, 676, 476, 273, 269, 276, 547, 1205, 519, 6700, 26910, 720, 20856, 675, 585, 519, 1858, 780, 2690, 1383, 267, 952, 513, 11380, 3349, 1283, 568, 476, 274, 685, 676, 476, 277, 8730, 519, 4009, 22089, 568, 476, 1240, 269, 25092, 476, 1240, 676, 476, 273, 269, 276, 543, 596, 1205, 476, 3393, 26334, 269, 634, 476, 3393, 26334, 540, 4305, 8654, 2877, 585, 938, 960, 1858, 786, 711, 1039, 610, 10208, 689, 519, 6700, 476, 28656, 26334, 585, 519, 2489, 8654, 780, 16914, 550, 31786, 692, 763, 3791, 2707, 540, 8654, 1031, 538, 1374, 568, 20020, 8654, 780, 16914, 550, 8654, 568, 1031, 547, 1039, 3308, 1719, 547, 513, 2230, 676, 2870, 513, 17122, 1448, 269, 634, 17122, 1448, 666, 581, 1148, 593, 519, 6821, 267, 519, 6821, 2933, 267, 7622, 2371, 610, 1256, 519, 3688, 593, 513, 2835, 3559, 325, 780, 32381, 540, 519, 17122, 1448, 267, 538, 1931, 585, 621, 547, 1796, 856, 1851, 519, 1964, 540, 519, 3688, 538, 519, 4055, 267, 20020, 8279, 1590, 581, 1614, 2053, 17321, 982, 519, 2489, 8654, 2838, 538, 519, 2230, 269, 570, 871, 8654, 543, 4605, 22311, 616, 1031, 547, 3035, 971, 12416, 538, 513, 4055, 780, 2252, 1031, 538, 513, 2230, 7157, 267, 891, 1614, 2959, 540, 8654, 910, 4937, 267, 17130, 267, 543, 6452, 550, 267, 849, 5219, 547, 607, 2482, 1359, 1769, 910, 616, 1883, 547, 8236, 519, 1655, 8654, 2009, 780, 1012, 10765, 24762, 692, 8450, 2353, 692, 19177, 12085, 3733, 9540, 6355, 13201, 570, 4381, 2725, 692, 272, 269, 1403, 596, 960, 593, 1945, 1169, 1554, 267, 621, 786, 1332, 269, 1656, 594, 1611, 267, 1169, 1554, 269, 9741, 676, 2370, 543, 1554, 676, 1554, 568, 1732, 982, 4986, 693, 782, 269, 5272, 1554, 594, 798, 1945, 547, 948, 1628, 610, 2087, 1250, 1870, 692, 8070, 281, 18248, 273, 318, 8070, 454, 321, 18847, 540, 2985, 0, 515, 1430, 6773, 569, 476, 273, 1296, 3516, 2433, 2020, 272, 269, 646, 1430, 6773, 569, 692, 287, 295, 3266, 798, 596, 917, 875, 547, 798, 713, 286, 2433, 2020, 273, 269, 646, 1430, 6773, 569, 692, 334, 2129, 267, 594, 1705, 1932, 2433, 270, 1985, 942, 594, 786, 2433, 291, 692, 274, 269, 646, 1430, 6773, 569, 692, 758, 599, 267, 7064, 256, 2433, 264, 594, 6415, 13110, 1932, 267, 594, 4312, 1044, 2324, 593, 621, 899, 782, 1554, 907, 3873, 267, 676, 2465, 2433, 291, 692, 275, 269, 646, 1430, 6773, 569, 692, 758, 599, 267, 786, 798, 2433, 291, 9684, 596, 340, 630, 1384, 276, 269, 646, 1430, 6773, 569, 692, 287, 295, 3266, 646, 5674, 630, 1384, 277, 269, 646, 1430, 6773, 569, 692, 810, 334, 666, 596, 948, 803, 286, 2433, 264, 646, 515, 692, 278, 269, 943, 328, 692, 2791, 723, 606, 3830, 1210, 519, 3830, 512, 284, 330, 9706, 2659, 1101, 1900, 568, 4137, 856, 1018, 737, 568, 267, 547, 798, 602, 267, 5372, 512, 543, 533, 609, 513, 6292, 540, 2338, 602, 834, 2998, 1927, 257, 1358, 2285, 596, 835, 6292, 540, 2338, 267, 519, 1101, 1899, 538, 707, 3349, 269, 2052, 596, 1265, 737, 2496, 279, 269, 646, 1430, 6773, 569, 692, 6614, 1695, 267, 855, 1018, 1131, 581, 519, 8424, 585, 519, 1866, 286, 899, 875, 798, 594, 4137, 621, 856, 286, 2433, 270, 692, 280, 269, 943, 328, 692, 6343, 568, 737, 26042, 1015, 269, 646, 1430, 6773, 569, 692, 334, 2129, 267, 594, 1810, 1405, 917, 2433, 270, 692, 1556, 269, 943, 328, 692, 1492, 1101, 1899, 3081, 3178, 2604, 942, 476, 271, 1111, 476, 272, 520, 332, 476, 2568, 2381, 789, 2285, 596, 513, 533, 630, 272, 693, 332, 264, 543, 942, 630, 2568, 1295, 264, 946, 713, 9623, 538, 512, 284, 330, 9706, 547, 1265, 737, 692, 1321, 269, 646, 1430, 6773, 569, 692, 810, 476, 2568, 284, 330, 270, 272, 10371, 328, 1131, 2053, 1312, 5011, 676, 476, 272, 2496, 1724, 269, 943, 328, 692, 9767, 1223, 267, 855, 4376, 5258, 676, 476, 272, 568, 3294, 267, 865, 1175, 27682, 737, 270, 272, 607, 737, 596, 1205, 737, 284, 476, 2568, 692, 1691, 269, 646, 1430, 6773, 569, 692, 334, 2129, 15502, 692, 1428, 269, 943, 328, 692, 810, 1118, 513, 4063, 267, 707, 3830, 568, 512, 284, 476, 2568, 9706, 692, 1626, 269, 943, 328, 692, 852, 547, 946, 713, 3830, 267, 596, 991, 547, 1265, 519, 2604, 693, 1142, 3178, 538, 519, 3349, 269, 11314, 476, 272, 3947, 606, 3830, 585, 875, 547, 1265, 519, 2604, 693, 513, 3178, 269, 2052, 596, 946, 621, 547, 6445, 538, 519, 2604, 6241, 26042, 1704, 269, 646, 1430, 6773, 569, 692, 1492, 546, 284, 3451, 266, 272, 3830, 286, 2433, 306, 692, 1240, 269, 646, 1430, 6773, 569, 692, 328, 1611, 546, 270, 692, 866, 269, 943, 328, 692, 13433, 267, 855, 1205, 519, 3877, 1318, 269, 1548, 568, 519, 3830, 585, 4466, 623, 26042, 736, 269, 646, 1430, 6773 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1210, 15821, 7215, 267, 1620, 16526, 538, 835, 4756, 267, 543, 1620, 1894, 543, 5276, 3252, 607, 789, 1020, 1454, 4514, 11908, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935, 692, 1103, 519, 1770, 1053, 786, 4019, 543, 8831, 519, 6103, 476, 278, 11714, 28674, 2108, 476, 279, 4441, 1644, 547, 1603, 15821, 7215, 267, 10442, 9424, 1210, 15821, 7215, 267, 1620, 16526, 538, 835, 4756, 267, 543, 1620, 1894, 543, 5276, 3252, 607, 789, 1020, 1454, 4514, 9119, 630, 298, 268, 1321, 264, 31560, 14872, 4569, 5851, 269, 6103, 476, 275, 5149, 476, 272, 269, 4860, 2213, 4873, 476, 1001, 275, 11714, 28674, 2108, 634, 2203, 6437, 729, 15428, 547, 2992, 519, 24315, 6717, 2963, 7515, 282, 585, 811, 1344, 593, 519, 26941, 5225, 4945, 1934, 780, 22706, 476, 1556, 12708, 4569, 6103, 476, 1321, 12708, 4569, 19098, 476, 1556, 19098, 476, 1321, 21444, 28393, 1017, 1401, 4461, 5800, 531, 6103, 476, 1015, 1898, 2979, 11929, 2689, 2042, 269, 12708, 476, 1015, 11929, 5623, 630, 5575, 30453, 264, 11711, 12025, 281, 476, 274, 4200, 737, 321, 281, 11711, 7392, 281, 7824, 11908, 11621, 540, 28742, 15099, 15753, 3311, 717, 10345, 19549, 6103, 5149, 476, 272, 281, 19940, 10606, 267, 9255, 10025, 267, 543, 681, 15929, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 19940, 10606, 267, 9255, 10025, 543, 681, 15929, 11714, 23717, 5149, 476, 272, 9119, 11714, 28674, 397, 508, 476, 272, 294, 10345, 19549, 6103, 11714, 28674, 397, 508, 5149, 2433, 19940, 10606, 267, 9255, 10025, 543, 681, 15929, 9400, 28418, 267, 3557, 3427, 11714, 28674, 22935, 692, 12385, 24136, 630, 298, 268, 1321, 264, 31560, 14872, 4569, 5851, 269, 6103, 476, 275, 5149, 476, 272, 269, 4860, 2213, 4873, 476, 1001, 275, 11714, 28674, 2108, 634, 2203, 6437, 729, 15428, 547, 2992, 519, 24315, 6717, 2963, 7515, 282, 585, 811, 1344, 593, 519, 26941, 5225, 4945, 1934, 269, 11908, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935, 692, 10481, 3073, 807, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935, 31560, 14872, 5053, 3690, 3836, 10495, 630, 14457, 6478, 264, 910, 21213, 476, 276, 270, 272, 270, 1724, 1403, 596, 798, 711, 723, 519, 27024, 543, 10957, 547, 1569, 10526, 5225, 4757, 713, 2232, 281, 631, 9573, 817, 287, 323, 4141, 8542, 329, 10993, 3629, 519, 1739, 1344, 538, 519, 1560, 540, 519, 4757, 1384, 29551, 14872, 5053, 3690, 3836, 10495, 630, 14457, 6478, 264, 910, 21213, 476, 276, 270, 272, 270, 1724, 1403, 596, 798, 711, 723, 519, 27024, 543, 10957, 547, 1569, 10526, 5225, 4757, 713, 2232, 281, 631, 9573, 817, 287, 323, 4141, 8542, 329, 10993, 3629, 519, 1739, 1344, 538, 519, 1560, 540, 519, 4757, 281, 31560, 14872, 5053, 3690, 3836, 10495, 630, 14457, 6478, 264, 910, 21213, 476, 276, 270, 272, 270, 1724, 1403, 596, 798, 711, 723, 519, 27024, 543, 10957, 547, 1569, 10526, 5225, 4757, 713, 2232, 281, 631, 9573, 817, 287, 323, 4141, 8542, 329, 10993, 3629, 519, 1739, 1344, 538, 519, 1560, 540, 519, 4757, 1384, 16215, 476, 272, 281, 4303, 476, 272, 281, 589, 15474, 5900, 3363, 547, 20134, 10606, 6103, 476, 279, 4841, 786, 1397, 602, 1840, 543, 12408, 616, 538, 951, 4569, 4804, 17644, 5149, 476, 272, 281, 4303, 476, 272, 281, 589, 15474, 5900, 3363, 547, 20134, 10606, 6103, 476, 279, 4841, 786, 1397, 602, 1840, 543, 12408, 616, 538, 951, 4569, 4804, 17644, 692, 300, 3464, 269, 631, 1068, 345, 781, 4147, 269, 9612, 713, 3135, 269, 4569, 5149, 476, 272, 715, 5446, 543, 20472, 532, 2983, 6248, 22955, 5149, 476, 275, 910, 13356, 7769, 543, 4256, 21964, 5149, 476, 278, 910, 17773, 543, 4256, 21964, 282, 26554, 543, 17438, 5149, 476, 1015, 910, 14484, 687, 543, 6641, 11496, 26577, 299, 4569, 268, 476, 275, 628, 3446, 3584, 6657, 707, 2979, 5013, 609, 519, 31764, 1449, 3029, 538, 27589, 2630, 269, 19999, 558, 3626, 525, 17547, 602, 6282, 675, 9577, 10724, 7089, 23281, 11714, 28674, 22935, 5149, 476, 272, 281, 715, 9331, 21612, 590, 2894, 10345, 6730, 20525, 2207, 25972, 3848, 476, 272, 281, 19940, 7089, 10241, 476, 272, 269, 272, 6480, 1493, 609, 19940, 10606, 1547, 1547, 1547, 1547, 272, 476, 272, 269, 273, 8196, 18827, 543, 25513, 1547, 1547, 1547, 1547, 1547, 273, 692, 1103, 519, 1770, 1053, 786, 4019, 543, 8831, 519, 6103, 476, 278, 11714, 28674, 2108, 476, 279, 4441, 1644, 547, 1603, 15821, 7215, 267, 10442, 9424, 1210, 15821, 7215, 267, 1620, 16526, 538, 835, 4756, 267, 543, 1620, 1894, 543, 5276, 3252, 607, 789, 1020, 1454, 4514, 5149, 476, 272, 281, 15775, 29035, 5149, 476, 273, 281, 18527, 8496, 1145, 16215, 476, 274, 281, 16387, 9255, 10025, 3848, 476, 272, 4530, 9906, 7151, 15005, 269, 9255, 10025, 3848, 476, 272, 4530, 11819, 10495, 15005, 1547, 4569, 9255, 10025, 7726, 5623, 269, 653, 339, 343, 269, 9906, 14506, 269, 898, 568, 1271, 585, 1053, 547, 2141, 2992, 593, 741, 960, 269, 769, 713, 2534, 519, 8086, 568, 519, 3992, 269, 9906, 616, 10452, 593, 1018, 789, 723, 4121, 692, 280, 628, 6103, 25526, 16775, 9119, 4530, 476, 272, 476, 280, 628, 6103, 25526, 16775, 9119, 4530, 476, 272, 269, 9986, 8615, 4566, 547, 1491, 513, 7552, 689, 1200, 2777, 538, 5842, 16205, 657, 267, 7147, 267, 547, 513, 3659, 8563, 28674, 12814, 338, 2777, 538, 2098, 777, 1092, 267, 7147, 269, 2701, 6027, 519, 3845, 1063, 519, 1079, 4025, 593, 513, 4786, 543, 1336, 621, 547, 581, 476, 279, 6279, 269, 1403, 519, 4336, 593, 519, 4786, 568, 476, 272, 476, 273, 10759, 4564, 476, 1691, 5195, 267, 799, 568, 14191, 547, 519, 4890, 3845, 538, 5195, 1063, 519, 1079, 4025, 286, 589, 269, 476, 4510, 11908, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4029, 3817, 3040, 476, 272, 5662, 1224, 298, 15811, 14732, 623, 7163, 454, 288, 2413, 4244, 547, 27910, 24687, 543, 1849, 14554, 24687, 267, 8111, 23087, 3091, 1164, 7779, 5530, 20929, 609, 2143, 3184, 24096, 543, 2079, 540, 2101, 4798, 267, 3197, 267, 543, 811, 563, 303, 1446, 21696, 267, 19232, 681, 3187, 6257, 519, 2360, 540, 519, 14798, 15435, 540, 476, 4489, 279, 267, 3006, 5219, 547, 607, 519, 5053, 12071, 269, 1280, 519, 1101, 851, 540, 519, 1650, 267, 519, 2068, 568, 513, 11397, 6161, 269, 634, 3197, 1865, 519, 4576, 607, 1498, 621, 779, 513, 2484, 268, 12537, 7613, 267, 1945, 602, 1152, 5540, 1004, 538, 2342, 269, 7216, 11673, 540, 519, 4576, 21843, 519, 30542, 22785, 540, 29053, 269, 634, 3197, 538, 519, 2475, 12314, 519, 4576, 609, 519, 9490, 267, 27337, 881, 2112, 2921, 1747, 538, 513, 11397, 2244, 269, 634, 4576, 568, 513, 12572, 856, 29115, 540, 519, 3520, 5558, 540, 2112, 267, 2404, 609, 4914, 4025, 543, 711, 2808, 1945, 602, 1223, 2479, 1860, 519, 1977, 1004, 269, 1879, 519, 3197, 798, 1865, 2436, 519, 4576, 1522, 12446, 538, 3013, 267, 789, 798, 865, 538, 2474, 540, 513, 4436, 4729, 267, 11021, 602, 519, 4914, 10546, 568, 1210, 519, 4914, 4576, 547, 10413, 4892, 267, 8744, 519, 4914, 3520, 5558, 547, 519, 1753, 4395, 269, 1677, 519, 3197, 267, 713, 9490, 4576, 23327, 519, 30279, 267, 4914, 3310, 540, 519, 10546, 269, 769, 519, 2796, 540, 519, 1650, 267, 519, 3197, 685, 7664, 540, 519, 4576, 4564, 519, 30542, 2684, 11131, 3310, 540, 1533, 18259, 543, 519, 1259, 602, 2112, 666, 1689, 1004, 779, 11994, 540, 1945, 899, 513, 2068, 563, 30631, 1302, 267, 519, 4576, 3217, 3597, 538, 519, 2475, 267, 543, 1004, 1831, 7210, 563, 3528, 918, 15811, 14732, 623, 7163, 0, 307, 744, 31165, 4959, 519, 1101, 10732, 540, 13491, 269, 1306, 649, 4862, 689, 938, 13491, 3988, 267, 519, 1101, 23156, 568, 519, 23156, 540, 4126, 563, 2690, 721, 267, 4126, 568, 899, 513, 6999, 269, 594, 4126, 594, 1205, 513, 21743, 1007, 11442, 585, 8285, 269, 1403, 596, 2907, 917, 596, 616, 2469, 547, 1205, 513, 21743, 1007, 11442, 267, 1287, 4126, 3217, 593, 513, 1114, 2495, 269, 589, 1978, 19104, 563, 1103, 519, 1715, 11620, 267, 4126, 568, 16219, 19104, 269, 4762, 1211, 3972, 269, 634, 6587, 540, 4126, 568, 4250, 269, 16593, 568, 6109, 3661, 269, 16593, 568, 9859, 4724, 2696, 269, 16593, 3340, 3972, 269, 11086, 267, 649, 616, 9415, 547, 2322, 938, 4126, 538, 2696, 543, 3972, 602, 646, 786, 5838, 563, 763, 7583, 332, 1588, 540, 713, 4126, 543, 3972, 538, 2696, 779, 5838, 766, 786, 581, 1336, 538, 519, 4126, 540, 519, 4947, 31050, 269, 634, 31050, 786, 2097, 543, 5838, 5840, 269, 634, 1323, 31212, 2290, 786, 3142, 827, 2696, 779, 8003, 593, 3618, 269, 1261, 786, 581, 2696, 609, 721, 269, 968, 1103, 1010, 2012, 519, 6082, 786, 2322, 741, 4126, 1848, 1924, 3081, 15623, 267, 945, 10530, 689, 30037, 269, 1306, 29064, 538, 938, 23156, 2542, 267, 4906, 814, 2097, 543, 646, 568, 938, 4126, 563, 1607, 568, 513, 1114, 689, 1018, 649, 5873, 3544, 519, 5939, 269, 1284, 5873, 2322, 707, 4126, 543, 3972, 538, 2229, 269, 1284, 616, 5143, 547, 3972, 538, 519, 4346, 269, 2107, 2029, 269, 2107, 2069, 269, 2107, 2182, 960, 269, 1284, 2461, 5143, 547, 2322, 938, 4126, 543, 3972, 538, 8103, 269, 7183, 540, 891, 616, 3983, 267, 1175, 711, 17709, 540, 938, 4126, 543, 3972, 269, 634, 6426, 29808, 827, 8380, 3972, 538, 519, 7301, 13922, 543, 7329, 11169, 540, 519, 1158, 269, 1548, 616, 10881, 602, 649, 2461, 8380, 3972, 538, 7301, 4126, 888, 31334, 722, 510, 722, 510, 454, 24168, 918, 301, 8582, 602, 596, 616, 3972, 532, 513, 7301, 4126, 952, 621, 14767, 547, 4194, 782, 707, 2042, 269, 8771, 4126, 568, 513, 4126, 602, 814, 1100, 6209, 4493, 538, 4641, 269, 10298, 602, 616, 10826, 268, 8712, 585, 782, 1272, 779, 10108, 267, 24074, 267, 9620, 267, 616, 711, 1483, 3435, 563, 18661, 267, 593, 519, 824, 1688, 267, 1281, 711, 9153, 547, 4194, 782, 540, 938, 2042, 269, 2696, 1281, 711, 9153, 602, 596, 786, 2760, 7985, 538, 713, 1272, 269, 15439, 1224, 519, 14644, 999, 269, 11088, 543, 1586, 267, 649, 616, 19230, 602, 649, 786, 22036, 8062, 543, 7092, 538, 938, 5132, 269, 4906, 5185, 7759, 545, 2544, 269, 4906, 11124, 269, 4906, 4810, 16236, 269, 4906, 11124, 269, 4906, 5747, 269, 8550, 1281, 2696, 9153, 606, 2653, 1272, 269, 1548, 2696, 1281, 9153, 568, 602, 646, 786, 581, 22290, 721, 998, 938, 9620, 269, 1261, 3947, 721, 4126, 585, 519, 2104, 563, 31334, 722, 510, 722, 510, 454, 306, 4488, 2177, 13036, 312, 267, 9358, 918, 301, 8582, 602, 596, 616, 3972, 532, 513, 7301, 4126, 952, 707, 4126, 1281, 711, 7048, 2390, 2696, 269, 1403, 2696, 568, 711, 513, 851, 540, 519, 3830, 267, 1287, 596, 616, 3972, 532, 513, 7301, 4126, 269, 5808, 616, 596, 3168, 547, 6038, 5838, 596, 281, 2029, 267, 10781, 267, 1920, 267, 610, 519, 2229, 286, 1452, 616, 711, 3983, 1919, 538, 2933, 855, 789, 786, 711, 4688, 596, 6306, 689, 2696, 269, 9453, 2696, 607, 513, 851, 540, 519, 3830, 267, 891, 786, 6038, 3111, 563, 1103, 476, 272, 8834, 649, 1224, 270, 515, 541, 602, 538, 4906, 2441, 649, 723, 1044, 2016, 513, 2713, 4126, 267, 711, 513, 4666, 610, 7301, 4126, 267, 855, 513, 2713, 4126, 269, 901, 568, 1018, 2696, 3091, 547, 721, 269, 769, 519, 1728, 19282, 968, 7069, 4126, 568, 3710, 593, 4986, 10815, 892, 649, 2206, 891, 1913, 538, 14235, 476, 273, 912, 2691, 14334, 1654, 2812, 1010, 17681, 3068, 454, 296, 1964, 593, 3571, 17946, 4474, 11419, 454, 1103, 1169, 1164, 543, 7088, 344, 575, 1446, 454, 7069, 19671, 6585, 1369, 519, 1654, 559, 454, 1103, 1261, 3691, 9749, 267, 4906, 568, 5219, 547, 607, 938, 4126, 543, 938, 19671, 269, 901, 4126, 1496, 27716, 316, 2560, 568, 513, 2922, 543, 5150, 19671, 585, 938, 2898, 1373, 2560, 1547, 4906, 568, 938, 2713, 19671, 269, 634, 2038, 10271, 950, 6849, 20655, 543, 7092, 6785, 4906, 729, 519, 1152, 835, 6325, 547, 1294, 873, 998, 519, 15420, 540, 1272, 269, 769, 519, 3032, 659, 558, 2125, 540, 7507, 267, 1141, 2038, 10271, 941, 12617, 267, 1585, 2038, 4168, 6698, 723, 1044, 1336, 269, 2290, 540, 891, 6698, 729, 519, 19671, 267, 513, 3090, 540, 4126, 269, 4906, 568, 519, 835, 602, 649, 666, 3972, 538, 938, 2729, 269, 1261, 568, 938, 2713, 4126, 563, 1103, 15420, 543, 8062, 2443, 2042, 267, 2591, 602, 786, 2097, 2443, 649, 723, 21705, 3972, 630, 327, 2100, 264, 538, 2696, 998, 4906, 2441, 1010, 12312, 269, 1924, 1141, 616, 596, 538, 8594, 540, 546, 20621, 286, 1548, 568, 621, 602, 4667, 899, 606, 11566, 4262, 540, 21817, 286, 1684, 596, 1745, 740, 337, 3424, 538, 513, 4262, 540, 27945, 1145, 286, 1548, 568, 707, 19671, 538, 519, 1164, 543, 7088, 344, 575, 1446, 888, 31334, 722, 510, 722, 510, 454, 299, 17129, 14877, 267, 9358, 918, 301, 8582, 596, 2461, 3972, 532, 538, 7301, 4126, 950, 596, 1869, 2661, 538, 4250, 269, 1306, 594, 1767, 693, 519, 4098, 267, 519, 6587, 540, 13400, 4126, 568, 4250, 269, 3683, 543, 936, 267, 13400, 4126, 568, 13615, 547, 968, 4777, 711, 581, 12922, 3034, 1103, 476, 3422, 276, 267, 8176, 5576, 592, 345, 267, 513, 1821, 719, 4168, 543, 17082, 540, 519, 3212, 534, 7491, 13371, 14816, 267, 729, 4280, 547, 1711, 513, 8285, 2027, 585, 595, 7034, 10023, 519, 3212, 534, 7491, 3197, 269, 1261, 8815, 609, 835, 10421, 267, 602, 789, 1450, 1864, 547, 1331, 519, 1650, 540, 519, 4332, 540, 4906, 269, 634, 1267, 568, 585, 519, 2250, 476, 2004, 13807, 639, 1296, 267, 6634, 540, 1004, 723, 14478, 968, 288, 24898, 9466, 8285, 892, 543, 723, 4862, 519, 1650, 540, 4906, 563, 296, 1224, 827, 513, 11029, 2962, 538, 713, 8285, 5929, 281, 6931, 639, 267, 513, 1126, 945, 4667, 547, 723, 538, 572, 15247, 267, 2141, 11438, 513, 3354, 24120, 609, 1864, 269, 6931, 639, 2760, 12772, 1010, 24120, 267, 4849, 538, 713, 19347, 7260, 269, 2755, 4687, 519, 5048, 540, 968, 6343, 8285, 568, 782, 827, 2223, 6931, 639, 12772, 1010, 24120, 693, 519, 3169, 4090, 646, 3081, 519, 1913, 267, 968, 325, 792, 711, 17373, 769, 713, 9583, 17608, 4090, 267, 6931, 639, 20205, 513, 3532, 12576, 540, 519, 3020, 2495, 540, 8285, 269, 968, 293, 792, 711, 2223, 585, 4906, 568, 4535, 269, 2696, 609, 721, 568, 519, 19671, 538, 1272, 779, 15420, 563, 31334, 722, 510, 722, 510, 454, 289, 6563, 539, 689, 4077, 331, 2940, 631, 269, 4325, 518, 543, 2048, 22146, 5020, 12080, 685, 593, 9365, 7498, 15578, 674, 7644, 4306, 595, 13263, 4041, 593, 519, 13491, 530, 805, 327, 4564, 4126, 1317, 513, 2713, 4126, 5956, 609, 513, 2370, 1126, 538, 513, 812, 3455, 267, 513, 7925, 267, 27303, 2370, 4816, 22885, 676, 519, 10513, 13336, 543, 4535, 547, 6307, 543, 9478, 269, 3371, 4126, 3459, 563, 2026, 713, 1507, 1126, 8057, 538, 588, 1155, 543, 7326, 267, 4126, 8057, 269, 1879, 646, 27086, 1866, 609, 1010, 10752, 267, 4126, 8057, 269, 1306, 646, 5340, 14393, 31397, 4191, 543, 13300, 267, 4126, 8057, 269, 1879, 646, 10356, 519, 7745, 543, 4503, 267, 4126, 8057, 269, 1879, 646, 11124, 543, 14894, 539, 5128, 2390, 513, 3444, 267, 4126, 8057, 563, 3891, 729, 6659, 689, 519, 4666, 267, 7902, 1354, 519, 20785, 267, 543, 10841, 2105, 547, 519, 1318, 1688, 540, 2696, 543, 7058, 1018, 286, 16593, 8057, 269, 2290, 1554, 267, 646, 4927, 2097, 1586, 547, 3142, 827, 2696, 779, 8003, 593, 3618, 269, 901, 568, 938, 2713, 4126, 563, 31334, 722, 510, 722, 510, 454, 291, 2177, 685, 307, 623, 7473, 22400, 13138, 19851, 538, 519, 7301, 13922, 540, 519, 1158, 267, 585, 789, 786, 1152, 14922, 269, 1684, 711, 581, 12922, 2443, 2322, 707, 4126, 538, 519, 2713, 4126, 540, 2696, 267, 4906, 2441, 269, 0, 299, 659, 4592, 572, 267, 513, 7328, 1634, 585, 922, 3728, 19550, 2962, 543, 2656, 10596, 267, 814, 8795, 3014, 546, 15342, 602, 666, 4734, 11655, 543, 1007, 5716, 7567, 11842, 267, 834, 1692, 1279, 568, 513, 22725, 4592, 572, 3014, 24350, 763, 2626, 3884, 1405, 607, 3551, 607, 835, 1522, 1589, 267, 607, 519, 3259, 540, 513, 22725, 4592, 572, 6474, 666, 4268, 7494, 4470, 593, 519, 1377, 540, 1404, 543, 1808, 21597, 3652, 563, 5804, 6107, 3756, 547, 3318, 22725, 4592, 572, 682, 8046, 267, 519, 3014, 3247, 335, 1137, 267, 936, 5503, 3652, 267, 543, 1256, 519, 10300, 1111, 830, 1974, 666, 782, 3310, 519, 2698, 3014, 942, 563, 15371, 596, 2811, 513, 6345, 17596, 547, 15378, 875, 1454, 1648, 547, 15395, 610, 513, 4715, 1807, 4058, 707, 1554, 1472, 513, 6474, 267, 1620, 519, 16082, 540, 22725, 4592, 572, 3014, 3259, 568, 1898, 563, 32153, 30086, 4592, 572, 10632, 281, 2817, 30086, 4592, 572, 13477, 630, 301, 17247, 264, 543, 20031, 1512, 30086, 4592, 572, 13477, 630, 12195, 299, 994, 2691, 621, 2501, 547, 3318, 22725, 4592, 572, 3756, 267, 519, 2817, 30086, 4592, 572, 13477, 543, 20031, 1512, 30086, 4592, 572, 13477, 13686, 930, 540, 519, 13074, 543, 1034, 9308, 14053, 5026, 4715, 8163, 563, 301, 17247, 3756, 267, 799, 4183, 519, 11255, 4528, 540, 519, 7328, 1634, 607, 4216, 22725, 4592, 572, 267, 2874, 540, 2185, 20453, 1142, 9434, 476, 1428, 3764, 269, 634, 12813, 299, 267, 606, 9205, 21597, 267, 5205, 513, 2147, 2497, 855, 609, 476, 1321, 18826, 20453, 563, 1103, 1312, 682, 8046, 267, 519, 3014, 9219, 13515, 585, 1585, 4128, 267, 971, 607, 950, 835, 2319, 8464, 610, 1282, 513, 15163, 267, 799, 666, 8831, 519, 4890, 8653, 540, 519, 3014, 563, 12234, 267, 952, 519, 3014, 568, 13615, 693, 519, 1439, 540, 7939, 942, 267, 936, 5503, 5712, 2097, 883, 1404, 267, 799, 666, 2417, 10804, 519, 1995, 563, 31955, 30086, 4592, 572, 10632, 281, 715, 7563, 288, 781, 16258, 6261, 3166, 2051, 5586, 5573, 645, 25114, 454, 31955, 6887, 4497, 538, 22725, 4592, 572, 13292, 602, 616, 711, 1152, 513, 13686, 540, 1762, 13007, 855, 849, 513, 15266, 547, 519, 7328, 781, 16608, 4170, 269, 5441, 22725, 4592, 572, 3756, 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 ]
[ 1911, 268, 6110, 290, 563, 31702, 264, 8738, 940, 18630, 18737, 634, 13838, 4283, 713, 7997, 1141, 5210, 616, 6854, 827, 476, 9610, 271, 268, 5611, 271, 595, 269, 634, 13838, 616, 10736, 883, 4158, 3039, 880, 11084, 543, 519, 1587, 5833, 538, 519, 29137, 267, 1634, 607, 804, 28310, 267, 568, 540, 8795, 2450, 476, 276, 547, 476, 736, 6515, 269, 634, 804, 1074, 619, 616, 1360, 3905, 950, 4947, 856, 540, 713, 7997, 563, 9827, 267, 519, 31682, 568, 3773, 1282, 8860, 827, 476, 273, 268, 275, 10065, 634, 31682, 6411, 607, 513, 29472, 518, 543, 865, 2636, 519, 9160, 547, 3575, 609, 5070, 610, 14919, 543, 547, 581, 5116, 538, 2990, 269, 1775, 4318, 269, 621, 4679, 519, 3355, 4259, 942, 540, 9160, 563, 289, 9506, 543, 25416, 281, 1452, 4238, 616, 519, 1482, 607, 585, 519, 6632, 1184, 269, 31453, 585, 519, 11544, 540, 6151, 2326, 269, 769, 519, 3819, 1184, 267, 519, 6151, 2326, 6404, 267, 535, 1441, 267, 543, 1287, 10480, 883, 29137, 6466, 267, 538, 519, 6632, 1184, 267, 519, 6151, 2326, 616, 16760, 14384, 543, 1287, 2047, 6404, 538, 2953, 8167, 538, 519, 4527, 540, 1216, 547, 1118, 513, 5386, 6094, 13594, 1634, 607, 6215, 25744, 269, 7476, 538, 25291, 609, 11115, 545, 0, 1692, 1082, 1309, 701, 10759, 538, 476, 272, 10759, 888, 763, 2626, 568, 476, 271, 269, 280, 6924, 271, 4649, 24496, 279, 4792, 6078, 563, 2171, 8263, 596, 616, 14291, 1063, 1309, 701, 10759, 543, 10759, 563, 2791, 666, 2070, 811, 3877, 593, 1142, 6482, 1770, 912, 3874, 10759, 610, 10759, 454, 763, 16038, 3490, 1770, 585, 3259, 568, 519, 25451, 563, 272, 25451, 568, 3160, 547, 476, 4343, 269, 12208, 275, 1240, 280, 4029, 3583, 280, 1309, 701, 10759, 267, 610, 476, 4375, 269, 24907, 271, 4281, 278, 2412, 14991, 10759, 563, 9616, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 563, 8196, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 1309, 701, 6279, 543, 6279, 563, 13911, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 272, 1309, 701, 10759, 547, 10759, 815, 476, 272, 269, 30033, 10759, 454, 276, 1309, 701, 10759, 547, 10759, 815, 476, 276, 269, 13932, 4200, 10759, 454, 1015, 1309, 701, 10759, 547, 10759, 815, 476, 1015, 269, 31696, 4200, 10759, 454, 1428, 1309, 701, 10759, 547, 10759, 815, 476, 1428, 269, 5392, 275, 7176, 10759, 454, 736, 1309, 701, 10759, 547, 10759, 815, 476, 736, 269, 4792, 280, 9032, 10759, 454, 1839, 1309, 701, 10759, 547, 10759, 815, 476, 1839, 269, 279, 2190, 9032, 10759, 454, 1789, 1309, 701, 10759, 547, 10759, 815, 476, 1789, 269, 7176, 280, 9834, 10759, 454, 2412, 1309, 701, 10759, 547, 10759, 815, 476, 6078, 269, 29204, 4817, 10759, 454, 2004, 1309, 701, 10759, 547, 10759, 815, 476, 7906, 269, 5038, 280, 11152, 10759, 454, 2791, 666, 798, 519, 9258, 1770, 7503, 689, 10759, 547, 1309, 701, 10759, 267, 610, 4283, 1022, 1079, 4559, 2630, 912, 3874, 10759, 547, 2473, 1770, 454, 3874, 10759, 547, 11281, 454, 3874, 10759, 547, 1665, 1000, 664, 454, 3874, 10759, 547, 10814, 454, 3874, 10759, 547, 15073, 454, 3874, 10759, 547, 24349, 13452, 454, 3874, 10759, 547, 3654, 17844, 11726, 1889, 454, 3874, 10759, 547, 561, 1872, 454, 3874, 10759, 547, 20267, 10309, 454, 3874, 10759, 547, 7510, 326, 1889, 454, 2304, 10759, 568, 519, 2012, 540, 513, 1770, 540, 3259, 538, 513, 1297, 540, 1114, 1949, 267, 1519, 15875, 4559, 267, 543, 2136, 2276, 22232, 4559, 269, 1703, 616, 476, 3607, 6279, 538, 513, 13452, 543, 476, 1321, 6279, 538, 513, 3723, 269, 634, 10759, 568, 2356, 519, 8471, 1770, 540, 6482, 538, 519, 2136, 2276, 267, 543, 568, 4922, 1031, 538, 519, 2136, 8003, 267, 543, 4516, 267, 5103, 519, 4367, 540, 11973, 547, 519, 8545, 1079, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 267, 6606, 269, 634, 10759, 568, 1869, 4122, 1031, 1217, 958, 267, 4352, 10169, 1447, 267, 538, 824, 20448, 6082, 971, 607, 5245, 282, 606, 1383, 1373, 519, 1279, 7555, 2245, 540, 7893, 519, 4463, 540, 20169, 1453, 538, 6279, 2864, 982, 1298, 22015, 637, 269, 634, 3486, 10759, 568, 3989, 547, 581, 3160, 547, 476, 1839, 269, 275, 28935, 563, 3519, 3200, 4462, 1080, 2593, 2488, 606, 2228, 7503, 9498, 585, 782, 2010, 540, 6482, 4559, 269, 1411, 666, 1265, 11973, 7503, 7515, 585, 16038, 4559, 267, 607, 1134, 607, 2296, 4559, 267, 9304, 267, 543, 824, 1239, 269, 7392, 538, 1770, 6698, 267, 31120, 267, 610, 2407, 4408, 585, 4559, 540, 3259, 267, 1858, 267, 2527, 267, 2604, 267, 543, 824, 2010, 269, 6201, 1331, 6515, 267, 10759, 267, 476, 1911, 4846, 267, 2475, 5714, 26412, 267, 476, 277, 262, 274, 2580, 476, 1015, 6149, 476, 275, 267, 12945, 4699, 267, 15432, 16302, 267, 10101, 267, 18253, 267, 3952, 829, 2034, 267, 543, 1082, 811, 256, 0, 299, 603, 1756, 568, 606, 12659, 8932, 4496, 1459, 538, 1895, 476, 272, 540, 519, 13350, 3349, 269, 4706, 10570, 1297, 568, 476, 274, 543, 922, 10570, 2527, 568, 476, 277, 269, 280, 6078, 269, 901, 1797, 16864, 814, 476, 274, 9211, 267, 476, 274, 22571, 855, 476, 275, 9211, 269, 634, 3090, 585, 16864, 568, 968, 30537, 9731, 301, 5446, 543, 3778, 454, 763, 2262, 16864, 568, 6508, 689, 519, 5259, 2262, 968, 331, 603, 657, 892, 799, 1797, 968, 7723, 6100, 1306, 621, 568, 5097, 1459, 538, 7725, 563, 1103, 519, 476, 9692, 271, 338, 267, 21280, 2946, 12844, 604, 659, 1470, 1101, 4362, 513, 7777, 540, 16864, 1572, 4620, 531, 924, 538, 13785, 269, 2201, 8781, 267, 621, 5795, 6309, 5459, 18723, 269, 769, 476, 8687, 278, 267, 2977, 534, 1488, 325, 342, 2644, 517, 267, 513, 16528, 2447, 626, 4767, 267, 6594, 267, 543, 9916, 519, 3601, 540, 602, 3693, 538, 6149, 563, 3891, 17429, 1027, 602, 621, 729, 513, 1007, 3693, 602, 729, 711, 1634, 5892, 543, 5795, 519, 2012, 19077, 1756, 543, 1767, 602, 621, 729, 606, 12659, 8932, 4496, 899, 9770, 855, 729, 711, 3811, 538, 5248, 908, 621, 676, 14793, 3974, 899, 31406, 563, 19365, 15952, 324, 543, 9966, 874, 787, 5096, 344, 10446, 9678, 16864, 585, 519, 1101, 942, 676, 14793, 3974, 540, 16864, 12547, 269, 769, 519, 3735, 476, 6977, 271, 338, 267, 4436, 2447, 626, 7917, 645, 684, 11420, 543, 3703, 2447, 626, 31217, 4223, 628, 328, 612, 523, 267, 676, 519, 14793, 3974, 540, 16864, 17296, 3893, 513, 13557, 540, 16864, 563, 30999, 584, 5270, 540, 19077, 1756, 454, 299, 603, 1756, 568, 513, 3810, 19535, 3693, 865, 1281, 711, 2291, 607, 513, 1863, 3693, 538, 2470, 269, 4107, 569, 621, 568, 1459, 538, 1490, 710, 20115, 610, 12647, 267, 6886, 899, 4620, 531, 924, 267, 838, 617, 636, 2940, 267, 682, 3671, 565, 924, 267, 3092, 269, 898, 568, 5097, 1459, 538, 25183, 5337, 15667, 7725, 269, 2368, 5666, 666, 849, 581, 1336, 538, 838, 3419, 7297, 267, 6070, 7297, 269, 634, 2101, 18261, 540, 19077, 1756, 568, 16266, 267, 1141, 1490, 710, 20115, 616, 1459, 563, 19187, 2906, 540, 19077, 1756, 454, 299, 603, 1756, 568, 513, 3810, 19535, 2571, 267, 3623, 854, 22554, 855, 1769, 652, 12659, 8932, 4496, 269, 4706, 2168, 543, 3114, 3601, 18613, 811, 22279, 3618, 4496, 982, 922, 1378, 1895, 269, 19077, 1756, 538, 922, 6986, 1106, 23465, 609, 2011, 547, 1106, 16864, 28355, 1813, 547, 11517, 1543, 538, 519, 2011, 267, 16864, 6491, 20183, 32232, 609, 9436, 267, 543, 16864, 19941, 593, 5114, 609, 3327, 8166, 563, 763, 13621, 1448, 540, 16864, 568, 476, 5197, 269, 2004, 9180, 543, 922, 14495, 1448, 568, 476, 16328, 273, 9180, 269, 898, 568, 519, 1769, 652, 4496, 609, 1360, 1970, 25297, 543, 513, 1360, 1970, 5860, 540, 476, 271, 269, 276, 4097, 10101, 829, 12945, 1298, 9014, 269, 901, 5860, 568, 1447, 982, 1216, 269, 19077, 1756, 6818, 607, 513, 4396, 693, 4055, 2837, 563, 299, 603, 1756, 568, 1351, 4592, 633, 269, 898, 23465, 609, 1216, 855, 711, 3423, 1836, 607, 9770, 269, 898, 814, 513, 1164, 1808, 3002, 4390, 267, 1164, 5687, 545, 19428, 267, 543, 17285, 16864, 616, 19729, 538, 993, 1149, 971, 607, 2802, 2643, 8533, 269, 769, 3693, 531, 1106, 267, 621, 568, 3810, 1166, 30100, 543, 3947, 6309, 5459, 18723, 593, 8781, 563, 299, 603, 1756, 538, 18143, 7010, 454, 5278, 15244, 540, 16864, 616, 1459, 538, 1480, 4703, 269, 1452, 616, 28041, 609, 1426, 269, 898, 814, 1100, 1634, 6211, 1909, 855, 1031, 538, 6527, 543, 21447, 585, 7099, 23638, 543, 812, 13519, 4713, 563, 308, 4513, 540, 19077, 1756, 454, 18814, 547, 922, 1164, 1808, 3002, 4390, 267, 16864, 568, 1031, 607, 513, 3002, 4483, 8665, 543, 3579, 1218, 538, 26119, 1141, 23377, 10514, 731, 618, 3217, 1747, 563, 299, 603, 1756, 568, 4922, 1031, 538, 22507, 762, 9075, 971, 607, 4254, 3796, 267, 3059, 12514, 267, 24195, 267, 3092, 269, 621, 568, 849, 1031, 538, 9075, 540, 2295, 10605, 16234, 543, 9162, 563, 18814, 547, 922, 17426, 267, 621, 568, 18585, 539, 609, 11956, 267, 7601, 267, 547, 1118, 1454, 6793, 543, 3532, 8407, 585, 8484, 563, 299, 603, 1756, 17296, 543, 16864, 28538, 728, 723, 1728, 326, 14029, 8084, 2470, 269, 1452, 616, 1031, 607, 15018, 8069, 563, 299, 603, 1756, 588, 792, 622, 5713, 607, 513, 1164, 27529, 19149, 656, 543, 31294, 5394, 10273, 563, 299, 603, 1756, 568, 4922, 1031, 538, 519, 5663, 540, 2027, 14296, 267, 20341, 267, 28028, 1350, 30769, 267, 23907, 267, 3092, 563, 299, 603, 1756, 19941, 568, 1031, 538, 6527, 547, 1521, 7099, 23638, 563, 3674, 582, 8554, 540, 19077, 1756, 454, 299, 603, 1756, 814, 476, 278, 24745, 8151, 689, 2527, 1297, 476, 276, 547, 476, 278, 269, 1703, 616, 1079, 6923, 9648, 7123, 24745, 540, 16864, 269, 19077, 1756, 268, 476, 278, 568, 811, 10731, 609, 3592, 476, 10844, 260, 543, 19077, 1756, 268, 476, 277, 568, 827, 476, 278, 10065, 0, 6011, 547, 13217, 4154, 1510, 8652, 18608, 545, 3679, 10915, 1456, 11394, 547, 4894, 891, 824, 2609, 547, 1205, 519, 4154, 607, 2673, 547, 6986, 607, 2009, 269, 519, 1101, 1900, 568, 7484, 9934, 799, 568, 519, 8851, 540, 1022, 1291, 6404, 538, 609, 519, 4154, 269, 713, 568, 8022, 519, 4154, 909, 547, 519, 13621, 1448, 538, 513, 7484, 601, 267, 513, 8670, 1500, 540, 24338, 5642, 11849, 267, 799, 25309, 782, 519, 1291, 856, 540, 519, 4154, 269, 1201, 454, 6011, 547, 13217, 4154, 1510, 8652, 18608, 545, 3679, 10915, 1456, 11394, 547, 4894, 891, 824, 2609, 547, 1205, 519, 4154, 607, 2673, 547, 6986, 607, 2009, 269, 519, 1101, 1900, 568, 7484, 9934, 799, 568, 519, 8851, 540, 1022, 1291, 6404, 538, 609, 519, 4154, 269, 713, 568, 8022, 519, 4154, 909, 547, 519, 13621, 1448, 538, 513, 7484, 601, 267, 513, 8670, 1500, 540, 24338, 5642, 11849, 267, 799, 25309, 782, 519, 1291, 856, 540, 519, 4154, 269, 1201, 10719, 282, 17975, 4214, 543, 2495, 1492, 3504, 1184, 540, 17975, 4154, 814, 2907, 1044, 4330, 896, 12669, 21395, 630, 6518, 1294, 1040, 1034, 540, 519, 23573, 8100, 616, 547, 519, 17975, 540, 8988, 630, 2889, 18690, 476, 1839, 281, 275, 282, 1990, 3663, 7559, 327, 476, 1724, 281, 280, 282, 568, 320, 11672, 476, 4366, 281, 1015, 1040, 519, 8988, 1031, 676, 519, 606, 857, 757, 729, 4440, 5833, 676, 1159, 601, 1154, 1291, 30423, 7626, 267, 3638, 538, 8988, 630, 1173, 550, 26448, 7523, 6511, 1040, 4154, 17975, 538, 519, 3504, 1158, 326, 1245, 17975, 538, 519, 3504, 1158, 15292, 476, 1001, 276, 676, 3915, 3638, 835, 3364, 602, 11542, 856, 585, 803, 568, 602, 989, 878, 7637, 729, 1360, 1808, 827, 519, 1826, 540, 4496, 610, 3574, 538, 519, 28352, 543, 8043, 602, 941, 547, 581, 1031, 269, 6986, 560, 4154, 281, 5601, 781, 17975, 3595, 538, 938, 2729, 15290, 513, 8022, 2604, 568, 4294, 547, 938, 2729, 267, 5601, 568, 4098, 519, 27715, 1184, 269, 1498, 649, 1419, 2243, 5601, 607, 547, 1946, 649, 616, 1373, 30201, 3176, 267, 649, 4166, 2097, 547, 1265, 602, 5601, 568, 26460, 721, 609, 519, 1360, 3364, 649, 2219, 729, 519, 31169, 269, 605, 18690, 476, 1839, 281, 1556, 630, 1556, 2567, 513, 2262, 3514, 569, 9275, 568, 899, 13212, 540, 4154, 538, 513, 4259, 540, 8988, 269, 4154, 4393, 12766 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2168, 3441, 563, 2252, 596, 1995, 1022, 540, 891, 4191, 267, 621, 568, 1271, 547, 3142, 707, 2780, 547, 513, 3318, 1239, 6051, 3028, 607, 4166, 607, 2009, 267, 1354, 519, 3441, 4991, 8338, 543, 519, 1239, 3587, 811, 2352, 610, 7543, 547, 9156, 563, 3721, 338, 547, 6875, 1879, 674, 5217, 8447, 28100, 12983, 454, 16498, 3441, 547, 513, 2182, 5397, 568, 513, 3978, 3390, 602, 666, 2014, 2530, 540, 1271, 1239, 269, 898, 666, 4755, 1813, 547, 1896, 4128, 971, 607, 23139, 6749, 267, 14700, 267, 8022, 267, 610, 824, 2168, 28654, 269, 1403, 596, 2461, 7231, 609, 713, 3390, 267, 621, 779, 1898, 547, 1491, 7525, 2962, 547, 9156, 1239, 1354, 621, 779, 1932, 3735, 269, 634, 1739, 616, 519, 3268, 596, 666, 1491, 950, 6849, 2168, 3441, 2152, 563, 3721, 476, 272, 281, 5295, 1055, 519, 3926, 454, 763, 1101, 1900, 547, 1491, 568, 547, 1379, 1055, 519, 3926, 5612, 269, 898, 779, 1271, 1317, 4881, 513, 2182, 5397, 602, 814, 2168, 3441, 666, 2014, 2417, 2800, 543, 1118, 519, 6051, 1184, 811, 2352, 269, 4595, 519, 2182, 5397, 779, 7344, 2694, 616, 10347, 543, 1500, 540, 6419, 2326, 267, 621, 1131, 581, 1655, 547, 2057, 4881, 519, 3926, 547, 2061, 2417, 3441, 563, 3721, 476, 273, 281, 28018, 519, 2182, 5397, 454, 16498, 3441, 666, 2014, 7298, 29565, 2583, 267, 546, 757, 267, 610, 824, 14796, 547, 519, 2182, 5397, 779, 16538, 269, 28018, 519, 2182, 5397, 585, 1022, 7298, 4191, 540, 3441, 610, 1022, 8966, 21089, 269, 1403, 596, 5469, 1022, 14796, 267, 798, 711, 3801, 547, 7816, 610, 1930, 519, 2182, 5397, 3054, 267, 607, 621, 666, 2014, 2417, 3441, 269, 5502, 267, 3343, 519, 948, 540, 513, 3318, 1239, 6051, 3028, 563, 3721, 476, 274, 281, 16418, 3318, 948, 454, 2005, 779, 1898, 547, 3343, 3318, 948, 689, 513, 1239, 6051, 3028, 602, 24870, 538, 2182, 5397, 6051, 269, 1358, 723, 519, 2556, 2645, 267, 3937, 267, 543, 6791, 547, 9156, 1239, 689, 8697, 2182, 11479, 269, 898, 779, 2629, 547, 3442, 513, 18019, 3028, 8502, 609, 513, 3950, 2594, 540, 3811, 1239, 6051, 563, 3721, 476, 275, 281, 7982, 1575, 1239, 5781, 454, 2414, 2057, 2104, 1239, 2530, 267, 621, 779, 1898, 547, 19307, 1239, 5781, 269, 1411, 666, 19307, 1239, 593, 606, 5007, 5397, 610, 6531, 4859, 865, 602, 596, 666, 3362, 1569, 621, 952, 707, 3926, 13341, 2168, 3441, 2152, 563, 16498, 3441, 547, 513, 2182, 5397, 568, 513, 3978, 3390, 602, 3340, 7525, 3007, 269, 1879, 6849, 2168, 3441, 2152, 267, 1379, 1055, 519, 3926, 267, 8524, 519, 2182, 5397, 267, 3343, 3318, 948, 267, 543, 19307, 1239, 5781, 547, 2057, 2104, 1239, 2530, 563, 13434, 1478, 532, 4578, 689, 513, 674, 9229, 10434, 20000, 593, 5839, 454, 10574, 568, 1419, 2808, 835, 540, 519, 1034, 3407, 7221, 538, 519, 3059, 2085, 269, 700, 3151, 1271, 6119, 666, 2014, 513, 1713, 2179, 540, 2566, 267, 2523, 950, 789, 616, 10710, 593, 513, 8959, 2182, 5397, 269, 5839, 13013, 2473, 3755, 616, 711, 4761, 547, 713, 1966, 267, 543, 621, 779, 711, 16613, 585, 873, 547, 1995, 2182, 5397, 5821, 563, 14188, 2685, 267, 972, 616, 1869, 2081, 547, 9156, 1271, 1239, 689, 513, 8959, 2182, 5397, 593, 5839, 13013, 2473, 269, 769, 713, 2376, 267, 649, 786, 1865, 930, 540, 519, 2409, 596, 666, 946, 547, 9156, 1239, 689, 513, 8959, 2182, 5397, 563, 272, 269, 2598, 330, 7780, 1006, 454, 291, 7416, 7780, 1006, 568, 513, 3710, 2987, 1907, 538, 5839, 13013, 2473, 602, 666, 581, 1031, 585, 1585, 5301, 267, 1519, 12210, 7816, 543, 1239, 6051, 269, 1677, 946, 2598, 330, 7780, 1006, 585, 1239, 6051, 267, 596, 991, 547, 1921, 519, 8959, 2182, 5397, 547, 707, 5839, 2780, 543, 10131, 2598, 330, 7780, 1006, 269, 3245, 972, 267, 2824, 519, 8959, 2182, 5397, 543, 4945, 593, 519, 968, 5575, 22707, 892, 9184, 269, 8437, 593, 968, 305, 684, 892, 547, 1376, 519, 7816, 1184, 269, 1403, 2598, 330, 7780, 1006, 568, 2111, 547, 3713, 1022, 9156, 762, 6119, 267, 621, 786, 5401, 596, 547, 4688, 873, 563, 273, 269, 4578, 18401, 12229, 454, 2252, 2598, 330, 7780, 1006, 568, 711, 2111, 547, 9156, 707, 1239, 267, 972, 616, 1896, 1239, 6051, 3301, 3681, 2139, 585, 5839, 13013, 2473, 3755, 269, 2290, 540, 519, 1034, 2442, 3681, 568, 2598, 330, 3220, 650, 267, 799, 3091, 513, 1863, 4528, 585, 3755, 547, 2119, 856, 269, 4033, 3681, 1331, 661, 848, 4785, 4578, 18401, 654, 19123, 543, 853, 15362, 4578, 18401, 563, 2414, 946, 1239, 6051, 3301, 267, 596, 991, 547, 4647, 543, 3888, 519, 3301, 593, 707, 5839, 2780, 543, 1921, 519, 8959, 2182, 5397, 269, 3245, 972, 267, 519, 3301, 786, 11571, 519, 5397, 543, 3801, 547, 9156, 1022, 9156, 762, 6119, 563, 274, 269, 12333, 4578, 18401, 7896, 454, 2252, 9444, 2598, 330, 7780, 1006, 6862, 1239, 6051, 3301, 568, 2111, 547, 9156, 707, 1239, 267, 621, 949, 581, 942, 547, 3343, 519, 948, 540, 513, 3318, 1239, 6051, 3028, 269, 1452, 2533, 616, 1419, 7199, 267, 855, 789, 2709, 513, 2362, 4960, 540, 23232, 707, 1271, 6119, 269, 12333, 1239, 6051, 2533, 7500, 676, 771, 553, 5145, 1782, 519, 8959, 2182, 5397, 543, 23232, 519, 1239, 693, 513, 18784, 1377, 563, 13434, 1478, 532, 1239, 689, 513, 8959, 2182, 5397, 593, 5839, 13013, 2473, 666, 581, 4101, 267, 855, 621, 568, 711, 7543, 269, 1635, 1210, 2598, 330, 7780, 1006, 267, 1239, 6051, 3301, 267, 610, 3318, 1239, 6051, 2533, 267, 596, 666, 2333, 707, 8458, 540, 32006, 1645, 1271, 6119, 269, 17859, 540, 799, 1505, 596, 3442, 267, 621, 568, 2141, 5227, 547, 5781, 1394, 909, 707, 1239, 547, 2057, 1022, 2530, 538, 519, 2104, 563, 291, 7416, 7780, 1006, 585, 18401, 454, 291, 7416, 7780, 1006, 267, 3710, 2987, 3301, 593, 5839, 13013, 2473, 267, 3091, 513, 3099, 540, 10624, 3046, 3681, 585, 23232, 8959, 2182, 11479, 269, 1452, 3681, 666, 581, 15600, 676, 22745, 2598, 330, 7780, 1006, 543, 8939, 519, 8959, 2182, 5397, 563, 2691, 14467, 593, 519, 968, 17572, 892, 10624, 538, 2598, 330, 7780, 1006, 267, 596, 666, 2824, 968, 6124, 12005, 892, 543, 3442, 547, 1711, 606, 3239, 540, 519, 3003, 8959, 2182, 5397, 610, 513, 1808, 15652, 269, 901, 666, 581, 3730, 952, 519, 8959, 2182, 5397, 568, 1869, 2111, 547, 581, 6444, 676, 519, 2780, 855, 568, 8572, 547, 18849, 909, 563, 763, 968, 31171, 892, 10624, 538, 2598, 330, 7780, 1006, 2882, 3681, 971, 607, 968, 4910, 1125, 892, 543, 968, 27916, 648, 892, 799, 666, 581, 1031, 547, 759, 1125, 519, 15652, 610, 11177, 513, 19307, 3239, 547, 513, 2182, 5397, 563, 15152, 519, 968, 8698, 892, 10624, 267, 3755, 666, 3442, 547, 1397, 610, 12404, 519, 2427, 8663, 543, 1907, 8663, 538, 2598, 330, 7780, 1006, 269, 634, 968, 17004, 2353, 20905, 892, 4781, 568, 849, 2139, 267, 799, 10525, 782, 2139, 3457, 267, 851, 1431, 267, 543, 12531, 538, 2598, 330, 7780, 1006, 563, 763, 968, 20360, 578, 892, 10624, 3091, 1896, 3681, 585, 5883, 2598, 330, 7780, 1006, 9486, 267, 1519, 519, 2702, 547, 7413, 267, 24680, 267, 543, 3142, 9486, 547, 519, 4395, 563, 7661, 267, 519, 968, 20055, 892, 10624, 2488, 1569, 547, 2598, 330, 7780, 1006, 12319, 543, 3606, 1489, 2200, 563, 4407, 2598, 330, 7780, 1006, 949, 711, 581, 2111, 547, 9156, 782, 1239, 689, 513, 8959, 2182, 5397, 267, 621, 568, 513, 3730, 1907, 585, 5883, 543, 30076, 2182, 11479, 593, 513, 5839, 13013, 2473, 1062, 269, 1635, 5432, 1944, 13951, 609, 519, 10624, 3046, 3681, 538, 2598, 330, 7780, 1006, 267, 3755, 666, 1732, 6330, 519, 3301, 543, 5732, 9156, 1271, 6119, 689, 513, 8959, 2182, 5397, 563, 8794, 16710, 32653, 585, 4578, 18401, 593, 5839, 13013, 2473, 454, 2252, 596, 723, 4810, 513, 2182, 5397, 5821, 593, 707, 5839, 267, 596, 949, 581, 11842, 875, 547, 9156, 707, 1271, 1239, 269, 2755, 972, 616, 1082, 6051, 3301, 3292, 2139, 267, 596, 949, 711, 1616, 547, 7048, 593, 873, 585, 513, 3099, 540, 4128, 269, 18641, 267, 5839, 13013, 2473, 814, 513, 3710, 2987, 1907, 602, 666, 5351, 538, 1239, 6051, 281, 519, 16710, 32653, 563, 25219, 559, 1944, 519, 16710, 32653, 547, 9156, 1239, 568, 711, 585, 519, 25861, 540, 2295, 269, 898, 3340, 930, 2930, 917, 24376, 543, 519, 18515, 547, 1826, 538, 513, 1906, 12981, 269, 634, 1184, 666, 581, 10347, 543, 6959, 666, 2049, 952, 711, 2944, 7157, 269, 1717, 267, 585, 1346, 945, 616, 8348, 547, 2285, 621, 513, 2119, 267, 519, 16710, 32653, 666, 581, 513, 3532, 1907, 563, 763, 1101, 1900, 538, 1210, 519, 16710, 32653, 585, 1239, 6051, 568, 547, 1569, 621, 269, 1411, 666, 798, 713, 676, 6679, 519, 12910, 1400, 813, 267, 799, 666, 581, 1336, 538, 519, 7780, 1988, 17835, 1369, 519, 10241, 17835, 269, 4495, 12910, 1400, 568, 1930, 267, 1826, 538, 519, 1739, 4971, 281, 968, 4134, 330, 583, 559, 1592, 6100, 901, 786, 1683, 596, 609, 513, 1592, 540, 782, 519, 11479, 543, 12531, 4448, 547, 707, 5839, 563, 9202, 267, 596, 3580, 991, 547, 3313, 799, 5397, 610, 4320, 814, 519, 4503, 1239, 596, 1616, 547, 9156, 269, 6733, 585, 1022, 3457, 609, 513, 2699, 1257, 6003, 267, 607, 713, 6920, 602, 519, 5397, 610, 4320, 568, 711, 15841, 543, 949, 2270, 4503, 1239, 269, 4495, 596, 723, 4857, 519, 5397, 610, 4320, 596, 1616, 547, 9156, 1239, 689, 267, 2328, 1524, 922, 32165, 267, 799, 786, 1413, 1945, 899, 968, 270, 22563, 270, 4134, 330, 273, 338, 274, 9731, 763, 1985, 1900, 568, 547, 946, 513, 1808, 4971, 547, 1711, 513, 12210, 3239, 540, 519, 4320, 596, 1616, 547, 9156, 1239, 689, 269, 7392, 538, 519, 1739, 4971, 267, 13868, 968, 15275, 8595, 892, 609, 519, 32165, 596, 5206, 1524, 538, 519, 3105, 1900, 912, 2108, 338, 30186, 546, 323, 952, 284, 270, 22563, 270, 15275, 8595, 540, 284, 270, 12949, 270, 1729, 270, 13548, 6155, 16936, 5996, 284, 7224, 19587, 267, 27675, 322, 7536, 1607, 4971, 786, 1711, 513, 12210, 3239, 540, 519, 4320, 267, 9494, 621, 607, 606, 3239, 3758, 609, 513, 1547, 323, 16936, 10137, 563, 5629, 519, 12210, 3239, 814, 1044, 2813, 267, 596, 666, 946, 513, 1239, 6051, 3301, 1982, 547, 11571, 519, 3239, 543, 9156, 1022, 4503, 1239, 269, 2142, 2386, 547, 946, 513, 18019, 1982, 543, 1118, 2386, 621, 568, 15095, 609, 5839, 13013, 2473, 563, 4407, 1210, 519, 16710, 32653, 585, 1239, 6051, 593, 5839, 13013, 2473, 949, 581, 25254, 267, 621, 666, 6038, 4688, 596, 2724, 543, 942, 676, 3850, 596, 547, 9156, 4503, 1239, 1510, 519, 991, 585, 3318, 1239, 6051, 2533, 269, 1717, 267, 1118, 2386, 547, 1491, 15416, 543, 581, 6297, 950, 12394, 547, 9156, 1239, 998, 713, 1505, 563, 21607, 519, 5839, 538, 18401, 25042, 547, 7457, 23452, 4578, 454, 16914, 6342, 4755, 267, 543, 3006, 10475, 1239, 666, 581, 4503, 1813, 547, 513, 1297, 540, 4128, 269, 6787, 621, 779, 1813, 547, 23139, 32280, 267, 11249, 6959, 267, 610, 18348, 539, 6119, 267, 9561, 1271, 1239, 666, 2014, 11784, 543, 17140, 269, 18641, 267, 5839, 3755, 723, 513, 6051, 7154, 602, 666, 948, 1569, 4503, 1239, 563, 3725, 11734, 7154, 568, 513, 3532, 1907, 3710, 883, 519, 5839, 5665, 1062, 602, 2636, 3755, 547, 23676, 2393, 543, 7816, 741, 5839, 267, 607, 1134, 607, 1569, 4503, 1239, 269, 1677, 1569, 6051, 7154, 267, 596, 3580, 991, 547, 1964, 691, 707, 5839, 543, 3180, 1524, 519, 16710, 630, 414, 490, 502, 264, 543, 681, 10569, 1927, 2394, 519, 11197, 20446, 5526, 269, 901, 786, 1491, 596, 547, 519, 5672, 5308, 7780, 1988, 10624, 563, 5804, 519, 5672, 5308, 7780, 1988, 10624, 267, 596, 666, 3442, 547, 5368, 560, 718, 5672, 5308, 267, 11177, 689, 513, 5384, 10724, 19307, 267, 946, 2598, 330, 7780, 1006, 547, 7816, 1062, 6959, 267, 610, 1569, 4503, 1239, 269, 1677, 1569, 4503, 1239, 267, 2824, 519, 968, 27916, 648, 689, 5384, 10724, 7982, 1575, 892, 4781, 543, 1246, 519, 593, 1606, 10547, 5528, 563, 2252, 596, 1810, 1406, 723, 513, 5384, 10724, 19307, 267, 1810, 1406, 11784, 269, 1411, 666, 1869, 9156, 4503, 1239, 676, 1210, 1239, 6051, 3301, 269, 15439, 2824, 519, 968, 291, 7416, 7780, 1006, 892, 4781, 689, 519, 5672, 5308, 7780, 1988, 10624 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 609, 1930, 31526, 273, 267, 1412, 342, 10807, 607, 536, 6769, 1038, 513, 22182, 16597, 10734, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 814, 4957, 543, 875, 621, 568, 16111, 4657, 267, 585, 1732, 610, 585, 8338, 269, 634, 2376, 267, 968, 5978, 7169, 13201, 3807, 23548, 684, 2223, 676, 717, 3271, 807, 23415, 655, 14550, 930, 1806, 540, 713, 269, 3245, 713, 2376, 267, 1352, 9607, 1079, 1271, 14868, 3823, 22158, 602, 1869, 4019, 547, 2486, 2221, 269, 13966, 609, 891, 14868, 267, 23415, 655, 3769, 1896, 1883, 1806, 540, 875, 22158, 1869, 814, 513, 1279, 1259, 547, 979, 2394, 2347, 7862, 568, 454, 29638, 7862, 281, 519, 533, 4883, 12386, 1523, 602, 1977, 2486, 568, 711, 27940, 18418, 2299, 3843, 547, 3035, 269, 3509, 4892, 723, 18617, 2933, 602, 4008, 7862, 729, 1121, 539, 1221, 676, 519, 715, 12078, 14821, 543, 519, 5822, 12339, 21442, 11873, 267, 543, 723, 711, 2808, 519, 5215, 540, 3268, 602, 616, 2451, 593, 519, 3460, 269, 769, 2487, 1296, 267, 513, 2339, 540, 1857, 1719, 814, 1044, 519, 4008, 13230, 7934, 267, 17548, 602, 2021, 616, 15980, 3648, 1447, 2724, 982, 2367, 585, 3257, 606, 6697, 2179, 540, 960, 269, 31379, 540, 519, 4674, 547, 968, 19874, 519, 4837, 18109, 892, 3409, 602, 513, 2628, 7934, 1281, 711, 2291, 267, 543, 602, 952, 621, 1281, 267, 621, 568, 1317, 2021, 2901, 798, 711, 960, 607, 2182, 267, 723, 547, 4043, 547, 741, 3885, 267, 610, 3180, 2539, 9878, 6009, 269, 1717, 267, 519, 4008, 2628, 7934, 814, 1044, 8810, 547, 2291, 538, 513, 3099, 540, 1114, 3029, 2676, 19185, 693, 519, 2413, 5604, 972, 616, 1082, 968, 6921, 817, 2781, 559, 902, 892, 602, 853, 2465, 548, 4016, 547, 711, 1152, 4019, 547, 18441, 855, 547, 25469, 538, 2489, 269, 2368, 20148, 525, 949, 3247, 1004, 689, 1373, 15469, 1317, 789, 616, 19531, 730, 676, 2021, 543, 798, 711, 1589, 789, 1058, 581, 5116, 593, 519, 1482, 1377, 607, 2933, 267, 1256, 1498, 789, 616, 8449, 11727, 585, 519, 2990, 269, 853, 2465, 548, 849, 12909, 827, 875, 513, 3765, 4310, 29341, 666, 2490, 856, 547, 581, 513, 19319, 971, 607, 519, 1523, 540, 10304, 267, 1317, 1004, 946, 621, 547, 741, 5413, 865, 1454, 602, 621, 1831, 513, 1835, 8553, 585, 519, 1964, 540, 741, 2729, 269, 25067, 9607, 513, 811, 1367, 1184, 540, 17528, 547, 2743, 3872, 4441, 8754, 282, 968, 2791, 1205, 3440, 2452, 619, 945, 1223, 18923, 1106, 513, 7623, 4845, 547, 1832, 513, 2915, 1055, 873, 1848, 901, 3948, 568, 1869, 3020, 547, 713, 1554, 1813, 547, 519, 1249, 602, 865, 1082, 1004, 1205, 7608, 593, 2407, 11878, 5026, 25689, 855, 741, 19174, 616, 2630, 1612, 267, 865, 602, 952, 1945, 4523, 602, 8952, 873, 689, 12721, 538, 5026, 789, 666, 711, 6488, 547, 3251, 538, 2852, 6862, 666, 789, 1832, 741, 9344, 454, 9743, 6627, 10168, 568, 17149, 538, 519, 2136, 2276, 269, 2382, 6627, 10168, 568, 7683, 9648, 267, 2436, 621, 581, 538, 519, 960, 3196, 267, 3506, 267, 610, 519, 7803, 5126, 1062, 269, 634, 2681, 540, 835, 779, 2960, 568, 513, 8159, 3815, 585, 1010, 1967, 538, 513, 2754, 267, 543, 2436, 610, 711, 646, 7475, 909, 538, 519, 5480, 1949, 267, 543, 585, 875, 1279, 563, 10908, 817, 18109, 269, 634, 2165, 834, 6921, 817, 18109, 257, 568, 3622, 1031, 547, 3277, 547, 8320, 1141, 2021, 543, 18441, 723, 27636, 1369, 606, 3919, 267, 855, 5103, 741, 27606, 543, 20340, 267, 1265, 621, 2352, 547, 1118, 519, 3350, 883, 1883, 2362, 1377, 2359, 7158, 267, 610, 2359, 7158, 693, 782, 269, 634, 1514, 19319, 891, 4837, 2781, 559, 902, 568, 519, 17418, 540, 519, 1034, 11727, 5520, 547, 1847, 883, 519, 1034, 1271, 7158, 1813, 547, 13061, 7355, 971, 607, 5198, 610, 4008, 630, 308, 2529, 269, 26321, 25477, 31621, 8189, 267, 476, 1220, 277, 1916, 30469, 26856, 2982, 875, 2352, 621, 568, 547, 1205, 15469, 538, 9546, 27926, 267, 799, 8309, 547, 1200, 4661, 602, 9546, 27926, 1281, 711, 1521, 741, 5520, 607, 789, 1058, 269, 769, 1840, 267, 621, 2982, 1946, 5520, 666, 1406, 723, 1732, 2729, 1317, 789, 1118, 5934, 13848, 585, 513, 1279, 1974, 267, 543, 960, 3063, 3108, 1510, 3478, 6976, 585, 621, 269, 9986, 26856, 5267, 267, 968, 515, 4280, 585, 513, 13319, 267, 855, 1614, 3275, 2663, 646, 729, 1869, 3257, 519, 3063, 960, 585, 1100, 3063, 2628, 892, 630, 277, 1040, 9986, 26856, 779, 1448, 568, 602, 9546, 27926, 5520, 666, 1406, 1205, 15469, 1256, 950, 789, 2119, 267, 3079, 9546, 27926, 568, 1210, 873, 543, 1118, 873, 960, 9875, 269, 23207, 569, 1282, 1200, 2376, 9986, 26856, 2306, 621, 2312, 602, 9546, 27926, 7518, 1080, 741, 5520, 269, 5015, 267, 9986, 26856, 6799, 721, 609, 1776, 24034, 1249, 602, 1397, 602, 711, 1152, 621, 568, 3592, 7543, 547, 1205, 15469, 538, 9546, 27926, 267, 621, 568, 811, 2352, 547, 1205, 15469, 952, 519, 9441, 568, 513, 4775, 269, 4340, 547, 9986, 26856, 267, 968, 310, 531, 5336, 691, 2221, 814, 519, 1482, 6871, 540, 2021, 538, 2359, 602, 519, 3328, 2754, 1185, 538, 476, 3192, 276, 892, 630, 276, 1040, 769, 824, 1913, 267, 519, 6871, 540, 2021, 538, 2359, 1705, 711, 1689, 689, 476, 3192, 276, 267, 950, 2021, 14201, 1406, 3160, 538, 513, 960, 5790, 607, 789, 2221, 269, 9986, 26856, 2488, 18802, 602, 10607, 1200, 4661, 543, 8761, 9546, 27926, 15490, 1145, 563, 310, 2674, 543, 2367, 8428, 538, 1082, 2081, 1312, 31127, 543, 9308, 543, 713, 1031, 547, 581, 513, 2601, 1082, 1031, 547, 1118, 7130, 1996, 4807, 11807, 267, 2705, 713, 814, 1044, 29653, 543, 814, 1044, 11329, 856, 602, 1256, 1498, 2367, 543, 4807, 723, 1713, 6211, 3604, 922, 2486, 779, 3375, 547, 2285, 4008, 3989, 5107, 602, 814, 3361, 519, 15523, 269, 630, 25486, 267, 18718, 2917, 269, 11557, 267, 13834, 543, 5980, 267, 476, 3192, 273, 4700, 634, 2856, 602, 2367, 616, 811, 24940, 865, 789, 1058, 581, 519, 3283, 547, 979, 547, 1153, 543, 1205, 513, 1434, 2816, 3379, 547, 2021, 945, 1058, 3251, 693, 1753, 609, 519, 1453, 949, 3100, 899, 513, 1650, 689, 1296, 3516, 267, 713, 1869, 4386, 538, 10430, 2221, 269, 9282, 6690, 2221, 19250, 856, 1685, 8695, 538, 2069, 267, 713, 1646, 3085, 1406, 4483, 883, 519, 960, 1747, 269, 901, 1287, 12857, 519, 1523, 540, 519, 4837, 18109, 630, 22985, 21563, 656, 267, 1520, 15553, 267, 2735, 275, 264, 799, 9388, 609, 519, 1523, 602, 972, 568, 606, 15865, 10465, 7303, 4807, 689, 2324, 909, 519, 4876, 21117, 269, 19716, 1932, 454, 1103, 606, 3919, 267, 519, 15796, 2356, 5161, 540, 513, 13737, 610, 1895, 540, 1379, 693, 519, 1283, 609, 7766, 2157, 540, 1379, 9944, 873, 269, 901, 568, 519, 4122, 1031, 1259, 540, 15518, 908, 5234, 610, 2818, 540, 519, 3919, 538, 1034, 3906, 269, 11283, 725, 267, 6608, 267, 543, 3909, 3906, 616, 21712, 3906, 609, 1114, 2157, 540, 2359, 267, 1379, 543, 6392, 269, 634, 9036, 814, 3006, 1044, 5219, 547, 607, 606, 11375, 2214, 3386, 1747, 585, 2021, 1813, 547, 519, 2789, 3029, 540, 4008, 16526, 1459, 630, 6781, 2449, 267, 476, 1960, 272, 1040, 2368, 1806, 540, 875, 9036, 7130, 11874, 5540, 2021, 779, 15271, 543, 3255, 616, 519, 4008, 13230, 7934, 630, 30821, 3205, 543, 21546, 267, 476, 1960, 276, 1070, 519, 20317, 540, 2021, 538, 5718, 630, 292, 698, 569, 543, 2961, 2993, 267, 476, 1220, 278, 1070, 543, 519, 3476, 942, 2838, 585, 2021, 3379, 547, 2367, 547, 4434, 538, 741, 11678, 630, 7922, 879, 543, 1546, 309, 16619, 267, 476, 1220, 278, 1040, 769, 824, 1913, 267, 9036, 7130, 8309, 547, 2021, 779, 2539, 8739, 20300, 4567, 799, 8754, 1291, 547, 2021, 2348, 547, 7017, 585, 1970, 2628, 539, 6009, 610, 2348, 519, 5728, 800, 1532, 1601, 2186, 540, 2078, 538, 1931, 547, 581, 15469, 563, 1103, 519, 2034, 8717, 540, 519, 476, 2641, 560, 2540, 267, 519, 1906, 2021, 602, 1118, 621, 547, 519, 1283, 607, 1869, 2938, 607, 968, 1492, 9868, 892, 543, 2687, 547, 1382, 713, 568, 513, 968, 26921, 5202, 1966, 6100, 15788, 267, 2021, 1106, 513, 1713, 851, 540, 519, 11668, 3196, 267, 855, 519, 18180, 9397, 12341, 1063, 1647, 2359, 543, 519, 524, 25252, 924, 630, 1492, 1283, 26933, 1040, 901, 2736, 538, 519, 18180, 568, 3361, 676, 1585, 2152, 1519, 3906, 17528, 547, 5431, 543, 2697, 741, 1378, 4837, 2781, 559, 902, 543, 3384, 3617, 3435, 602, 711, 1152, 6861, 519, 4837, 18109, 855, 849, 6439, 1518, 741, 5718, 27983, 269, 4107, 11932, 267, 519, 4527, 540, 1164, 3613, 9850, 4775, 9946, 814, 513, 5458, 1764, 593, 4008, 8635, 538, 519, 9036, 267, 2021, 538, 7158, 540, 6392, 1205, 547, 1118, 3664, 593, 2152, 1519, 4008, 2628, 7934, 543, 4129, 1881, 17849, 2853, 269, 1717, 267, 713, 2736, 538, 519, 18180, 7182, 2021, 779, 1569, 547, 5718, 7158, 543, 968, 655, 1943, 4315, 1175, 1810, 1406, 1294, 2614, 2021, 538, 5718, 7158, 693, 741, 3549, 892, 630, 290, 4752, 2006, 2676, 763, 19371, 9919, 4979, 8189, 4362, 6848, 267, 7293, 267, 543, 22257, 7496, 782, 17808, 2021, 543, 18441, 689, 8757, 1283, 2359, 7158, 454, 29189, 1143, 2509, 2021, 538, 519, 9036, 849, 1634, 607, 17163, 3023, 1143, 568, 835, 540, 519, 9510, 1106, 540, 7130, 1996, 2021, 269, 6736, 2810, 11044, 593, 4008, 7862, 543, 15594, 5322, 5001, 267, 2324, 2021, 3136, 547, 4339, 585, 7862, 2523, 538, 3043, 2275, 20683, 1305, 902, 269, 9282, 972, 814, 1044, 7096, 3356, 998, 519, 1296, 267, 2324, 2021, 3136, 547, 3068, 811, 2591, 607, 3379, 547, 2367, 1312, 538, 519, 7262, 607, 1134, 607, 3384, 2477, 269, 5525, 1631, 1397, 602, 519, 26321, 9796, 2920, 5293, 538, 519, 2136, 2276, 538, 476, 3422, 274, 547, 13373, 880, 4008, 1759, 14057, 3604, 568, 711, 1373, 24451, 607, 2021, 3136, 547, 7118, 1447, 982, 741, 5256, 13413, 538, 519, 1482, 2361, 630, 23173, 1842, 267, 1001, 276, 1040, 5047, 267, 18872, 2021, 723, 547, 6560, 609, 4763, 593, 1283, 540, 8635, 269, 634, 3510, 568, 8338, 538, 3384, 2477, 1141, 3356, 568, 15641, 539, 676, 2686, 4978, 543, 2853, 3823, 2021, 1141, 789, 616, 1028, 322, 18620, 811, 609, 6469, 26050, 585, 1383, 269, 4634, 609, 811, 2021, 2921, 909, 5107, 538, 5718, 267, 1870, 543, 6214, 2221, 267, 1082, 811, 3136, 547, 3068, 546, 545, 19303, 1282, 17849, 543, 3260, 687, 607, 1134, 607, 14057, 13103, 269, 0, 291, 773, 595, 8463, 22948, 454, 291, 773, 16213, 568, 513, 4496, 16213, 1184, 602, 3322, 519, 3498, 540, 1164, 2604, 547, 3196, 519, 25183, 4496, 883, 513, 8032, 9044, 13570, 269, 634, 10523, 1031, 538, 5884, 16213, 616, 2356, 1500, 540, 2182, 2989, 1907, 5374, 543, 723, 513, 1808, 3337, 269, 634, 1184, 568, 2147, 547, 602, 1031, 538, 13297, 27724, 269, 634, 10523, 616, 3335, 8032, 899, 13297, 28633, 563, 291, 773, 7041, 568, 513, 2629, 1900, 538, 5884, 16213, 269, 634, 1184, 6238, 609, 519, 13621, 540, 4496, 543, 922, 7766, 4483, 547, 513, 5884, 610, 12068, 269, 13689, 593, 519, 1826, 540, 5884, 2275, 8463, 3684, 1031, 267, 519, 1184, 666, 4125, 2901, 513, 2241, 26311, 5106, 610, 513, 1184, 538, 799, 519, 4496, 568, 22280, 883, 519, 5884, 693, 1164, 2604, 269, 634, 4496, 4396, 5809, 3330, 519, 5884, 607, 513, 1267, 540, 519, 1164, 2604, 269, 634, 2179, 540, 4496, 602, 568, 22280, 883, 519, 5884, 568, 5219, 547, 607, 519, 8929, 269, 1677, 1451, 811, 267, 3643, 4179, 2517, 4178, 4732, 1245, 344, 2593, 270, 563, 5629, 519, 5884, 568, 4712, 267, 621, 1590, 581, 19149, 730, 543, 19345, 1354, 16213, 269, 634, 2179, 540, 19149, 566, 2838, 5673, 593, 519, 2450, 540, 519, 851, 267, 922, 3337, 267, 543, 519, 4496, 779, 5687, 17871, 3601, 269, 4746, 267, 519, 11098, 540, 519, 851, 779, 6821, 786, 3313, 875, 1279, 621, 786, 991, 547, 3579, 269, 30850, 267, 519, 4396, 1881, 16213, 786, 581, 6569, 689, 519, 5884, 998, 606, 552, 20287, 7271, 563, 763, 2179, 540, 1570, 2838, 585, 513, 851, 786, 3313, 519, 1942, 540, 5884, 7041, 269, 634, 1942, 786, 4096, 593, 519, 1570, 779, 1770, 3902, 267, 851, 4320, 267, 543, 5021, 3774, 11098, 269, 901, 1942, 849, 2882, 519, 2597, 540, 1570, 602, 568, 2556, 547, 6445, 519, 5884, 9055, 269, 1280, 3236, 267, 513, 25182, 851, 786, 2154, 811, 1570, 547, 6445, 519, 9055, 267, 1247, 513, 23198, 835, 786, 2154, 4130, 9055 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 2017, 2187, 2018, 952, 711, 1225, 912, 3546, 2132, 476, 271, 454, 2018, 678, 815, 973, 9309, 263, 2017, 16192, 994, 2018, 561, 815, 973, 9309, 263, 2017, 16000, 994, 2018, 1582, 27982, 815, 3193, 4311, 27982, 267, 1225, 22183, 1341, 561, 1341, 678, 994, 2018, 2132, 3193, 263, 2017, 22183, 267, 1225, 22183, 1341, 3193, 10857, 267, 678, 1070, 476, 271, 2020, 1038, 1582, 27982, 815, 3597, 22183, 454, 1038, 973, 9309, 20172, 994, 1038, 2132, 1582, 27982, 692, 345, 815, 8827, 10797, 320, 815, 30741, 263, 1321, 994, 321, 815, 30741, 8987, 1428, 994, 322, 815, 30741, 263, 736, 994, 323, 815, 30741, 263, 1428, 994, 258, 546, 22183, 815, 910, 3374, 454, 324, 815, 30741, 263, 278, 994, 258, 552, 22183, 815, 910, 278, 692, 320, 16000, 815, 536, 454, 320, 16192, 815, 524, 692, 322, 16000, 815, 546, 454, 322, 16192, 815, 552, 692, 325, 815, 30741, 263, 271, 2020, 2745, 18750, 27982, 26073, 11764, 6262, 4297, 0, 5035, 8827, 912, 825, 1219, 16212, 4517, 1103, 3200, 15862, 4311, 267, 589, 2187, 1038, 585, 1775, 538, 2039, 12759, 10490, 15892, 2018, 589, 5157, 316, 815, 20328, 10490, 5157, 7481, 2018, 589, 5157, 316, 815, 1496, 842, 263, 2254, 737, 264, 585, 737, 538, 589, 5157, 27663, 1038, 2132, 589, 11468, 6540, 320, 815, 8827, 4590, 321, 476, 815, 20886, 272, 267, 272, 267, 271, 25662, 272, 267, 271, 267, 272, 25662, 271, 267, 271, 267, 271, 27663, 321, 815, 20886, 272, 267, 272, 267, 271, 267, 271, 25662, 272, 267, 271, 267, 271, 267, 272, 25662, 271, 267, 272, 267, 272, 267, 272, 25662, 272, 267, 271, 267, 272, 267, 271, 27663, 2745, 5416, 269, 4148, 760, 4517, 1103, 3200, 15862, 6357, 4917, 0, 5814, 4351, 692, 3698, 15652, 16597, 267, 22141, 2187, 825, 1447, 267, 3160, 267, 3152, 815, 1496, 3910, 1496, 3910, 11713, 825, 585, 6221, 538, 1239, 912, 1038, 952, 6221, 2999, 22141, 912, 2018, 1447, 6910, 263, 14403, 994, 1038, 8640, 6221, 3436, 22141, 912, 2018, 3152, 6910, 263, 14403, 994, 1038, 3116, 912, 2018, 3160, 6910, 263, 14403, 994, 825, 2132, 1447, 267, 3160, 267, 3152, 7531, 3698, 2656, 572, 937, 25225, 267, 4994, 2187, 825, 22141, 815, 15358, 314, 12690, 27110, 263, 271, 267, 7003, 25225, 264, 910, 476, 272, 22708, 825, 1293, 815, 476, 271, 454, 825, 4130, 267, 3160, 267, 3677, 815, 15652, 25225, 267, 22141, 994, 825, 1293, 815, 7003, 263, 16029, 994, 825, 4571, 815, 7003, 4433, 332, 718, 518, 2020, 825, 952, 4571, 10922, 4994, 543, 4994, 2999, 4571, 1341, 1293, 912, 1038, 2132, 22141, 454, 825, 8640, 4571, 3436, 4994, 912, 1038, 2132, 2656, 572, 937, 4433, 332, 718, 518, 267, 4994, 994, 825, 3116, 912, 1038, 2132, 2656, 572, 937, 10857, 24147, 267, 4994, 910, 630, 13232, 1341, 1293, 11723, 258, 16797, 572, 937, 547, 1265, 737, 628, 1297, 454, 333, 4548, 815, 1496, 272, 267, 476, 273, 267, 476, 276, 267, 476, 277, 267, 476, 279, 267, 476, 280, 2639, 628, 2273, 20311, 815, 2656, 572, 937, 25225, 267, 476, 273, 994, 2745, 2891, 628, 2273, 1297, 568, 14307, 3791, 20311, 267, 834, 540, 14307, 15358, 2020, 333, 4548, 273, 815, 1496, 280, 267, 476, 280, 267, 476, 279, 267, 476, 278, 267, 476, 277, 267, 476, 280, 267, 476, 272, 2639, 27917, 628, 20311, 815, 2656, 572, 937, 25225, 273, 267, 476, 274, 994, 2745, 2891, 27917, 628, 1297, 568, 14307, 8772, 20311, 267, 834, 540, 14307, 15358, 273, 267, 15044, 25225, 273, 4917, 0, 5035, 8827, 24998, 2187, 825, 1219, 9794, 290, 22511, 4311, 267, 7575, 2187, 1038, 5440, 815, 17121, 815, 476, 271, 454, 1038, 585, 1847, 538, 7575, 912, 2018, 952, 1847, 2652, 1412, 308, 12466, 3546, 5440, 23785, 272, 454, 2018, 8640, 1847, 2652, 1412, 291, 12466, 3546, 5440, 268, 284, 272, 454, 2018, 8640, 1847, 2652, 1412, 299, 12466, 3546, 17121, 23785, 272, 454, 2018, 8640, 1847, 2525, 262, 305, 12466, 3546, 17121, 268, 284, 272, 454, 1038, 2132, 5440, 2652, 476, 271, 543, 17121, 2652, 476, 271, 454, 320, 815, 8827, 4590, 2745, 5416, 269, 9080, 613, 290, 22511, 2891, 308, 308, 27363 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 4847, 547, 1904, 13050, 267, 1775, 4318, 269, 711, 581, 454, 574, 680, 5896, 269, 901, 786, 635, 12393, 1082, 2009, 3498, 540, 5579, 5896, 16674, 31312, 267, 855, 621, 568, 938, 454, 9080, 8540, 602, 519, 5483, 9844, 568, 811, 1271, 982, 519, 4028, 17293, 540, 5579, 5896, 454, 27184, 2839, 15498, 2861, 3156, 585, 594, 26031, 616, 1869, 538, 741, 26638, 269, 4014, 3067, 4328, 741, 454, 9418, 2640, 1869, 2115, 538, 1922, 1752, 4152, 267, 972, 616, 930, 23053, 540, 2804, 543, 1514, 454, 13607, 1113, 269, 2201, 519, 824, 1688, 267, 2221, 779, 5010, 16674, 2839, 18032, 798, 711, 2709, 6190, 1489, 454, 1721, 3354, 540, 1239, 543, 4027, 540, 7834, 269, 901, 267, 1927, 609, 4145, 827, 1072, 543, 454, 25677, 2152, 267, 568, 513, 1713, 21677, 585, 2417, 17293, 269, 11048, 267, 6639, 454, 704, 18504, 543, 3593, 10343, 949, 1689, 538, 519, 2104, 543, 513, 2647, 946, 540, 16674, 2839, 18032, 585, 454, 296, 26031, 538, 513, 1297, 540, 3156, 568, 2009, 269, 3962, 540, 891, 3156, 786, 723, 547, 581, 24565, 454, 3249, 2685, 585, 922, 3790, 543, 2640, 547, 2486, 543, 2043, 563, 763, 4589, 1131, 899, 547, 9684, 7379, 4811, 5234, 594, 334, 2335, 529, 7395, 6062, 4592, 585, 1010, 1082, 5363, 8292, 543, 454, 24175, 2248, 687, 543, 4793, 878, 807, 10787, 17243, 585, 1200, 948, 609, 7041, 540, 519, 12377, 563, 1607, 960, 814, 1044, 2944, 1369, 9167, 1382, 1788, 674, 2839, 3041, 630, 31306, 540, 9517, 550, 640, 538, 519, 6176, 454, 268, 476, 1321, 20620, 2817, 4659, 540, 11621, 543, 5303, 630, 301, 8780, 264, 772, 2529, 269, 4972, 540, 25642, 630, 1960, 276, 264, 1323, 454, 7072, 547, 8950, 8232, 281, 634, 715, 8780, 18361, 269, 7981, 22910, 476, 8517, 268, 1321, 267, 5239, 476, 1960, 276, 563, 590, 269, 17713, 3832, 267, 808, 269, 26450, 328, 543, 595, 269, 670, 732, 630, 1220, 275, 264, 24722, 630, 3041, 290, 264, 273, 10378, 6651, 547, 519, 595, 3041, 9915, 10378, 11929, 269, 30080, 8538, 778, 454, 590, 269, 12275, 325, 1074, 601, 543, 645, 269, 25347, 6199, 968, 27184, 2839, 281, 10241, 267, 8232, 267, 543, 21041, 6100, 5410, 2581, 8862, 525, 2917, 454, 32153, 267, 5147, 476, 1220, 276, 563, 594, 269, 7395, 6062, 4592, 267, 623, 269, 15585, 614, 543, 631, 269, 8709, 700, 625, 327, 719, 630, 539, 6002, 264, 16674, 2839, 16370, 281, 24021, 12983, 2676, 29936, 543, 8889, 18169, 269, 661, 7838, 7379, 4811, 1867, 267, 476, 25375, 3583, 13673, 267, 1530, 341, 8759, 476, 1220, 278, 267, 2139, 693, 912, 594, 269, 645, 846, 543, 681, 269, 6022, 968, 8505, 334, 268, 2839, 281, 5883, 4376, 267, 9170, 267, 20471, 538, 519, 3761, 5832, 7536, 15973, 10716, 540, 519, 8028, 300, 267, 5292, 269, 476, 4366, 267, 1100, 269, 476, 279, 267, 4864, 476, 1220, 276, 267, 6032, 269, 476, 1911, 268, 11793, 563, 645, 269, 715, 987, 267, 674, 269, 32083, 543, 681, 269, 21763, 968, 27184, 2839, 5303, 543, 10241, 1848, 623, 969, 5297, 7384, 2676, 20464, 5336, 1105, 476, 1220, 277, 267, 5292, 269, 476, 276, 267, 3143, 269, 476, 272, 454, 808, 10611, 269, 8055, 267, 1696, 620, 269, 968, 27184, 2839, 2861, 2553, 585, 1480, 268, 13808, 7020, 892, 18058, 540, 519, 454, 3722, 300, 267, 5292, 269, 476, 4366, 267, 1100, 269, 476, 280, 267, 5181, 476, 1220, 276, 630, 22492, 3390, 593, 16674, 2839, 1070, 6032, 269, 476, 4375, 910, 476, 4510, 454, 7638, 328, 8469, 3896, 281, 5291, 2517, 4178, 269, 591, 574, 539, 16769, 2593, 454, 623, 269, 15585, 614, 589, 17563, 585, 30487, 16674, 2839, 3590, 8232, 543, 21041, 24093, 269, 20959, 623, 969, 5297, 454, 4467, 1584, 532, 267, 5292, 269, 476, 278, 267, 1100, 269, 476, 273, 267, 4989, 11219, 2317, 476, 1220, 279, 267, 6032, 269, 476, 3583, 268, 6507, 563, 808, 269, 670, 15401, 6390, 267, 1696, 620, 269, 968, 763, 8232, 20480, 540, 7638, 328, 290, 1222, 1849, 11238, 1848, 2494, 11245, 538, 19169, 2676, 18550, 476, 1220, 277, 269, 12232, 693, 912, 3864, 6828, 593, 15979, 968, 20685, 673, 3344, 540, 23559, 18032, 538, 519, 1480, 1560, 1848, 32722, 540, 519, 454, 28158, 6828, 593, 15979, 538, 3163, 543, 1715, 16370, 547, 519, 3864, 8189, 267, 476, 1220, 276, 563, 305, 1952, 677, 324, 2720, 281, 590, 269, 14339, 7974, 543, 681, 269, 7167, 584, 549, 563, 645, 269, 667, 2532, 8403, 267, 594, 269, 7395, 6062, 4592, 968, 291, 272, 326, 1388, 17197, 271, 1845, 1107, 27870, 519, 20038, 540, 1857, 543, 4357, 2230, 538, 454, 320, 3059, 543, 19264, 1304, 11106, 1604, 5608, 661, 7838, 476, 25375, 4792, 2894, 267, 7379, 4811, 267, 3864, 8189, 454, 968, 12218, 4083, 7981, 6513, 338, 30334, 11657, 281, 1955, 8690, 762, 15571, 325, 15968, 3690, 335, 16093, 3590, 454, 1721, 21111, 22384, 543, 2657, 6176, 1848, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 2676, 15933, 543, 10684, 10029, 267, 4741, 585, 20905, 543, 7101, 8344, 2657, 267, 5412, 476, 1015, 267, 476, 1220, 275, 2676, 570, 269, 10197, 534, 968, 290, 1222, 1955, 17852, 700, 1441, 547, 10960, 570, 636, 832, 6100, 23105, 4964, 267, 476, 279, 5181, 476, 1220, 278, 454, 654, 269, 654, 755, 28086, 968, 19931, 595, 32555, 8328, 640, 10495, 540, 32719, 550, 1955, 8690, 762, 6481, 20905, 912, 27832, 976, 689, 476, 2568, 1296, 540, 3194, 24951, 14339, 757, 609, 4033, 15661, 6100, 476, 2767, 5181, 476, 1220, 278, 2676, 19989, 693, 281, 5291, 2517, 4178, 269, 591, 747, 760, 14585, 335, 2593, 11721, 3796, 24250, 617, 550, 306, 541, 1260, 10402, 8412, 6021, 273, 3199, 278, 310, 755, 28086, 15005, 454, 595, 269, 3131, 6545, 5894, 267, 681, 269, 654, 13083, 4317, 10343, 540, 16674, 2839, 607, 513, 1979, 6248, 3354, 1505, 269, 20959, 5303, 454, 663, 5980, 18225, 267, 5292, 269, 476, 1839, 267, 3143, 269, 476, 274, 267, 6032, 269, 476, 4097, 1107, 476, 5655, 267, 476, 1220, 277, 563, 968, 3412, 8690, 762, 932, 2354, 5192, 7201, 16164, 540, 8232, 20226, 6100, 12232, 693, 912, 968, 4785, 1895, 18032, 5907, 16776, 538, 4600, 892, 11038, 8648, 267, 476, 1321, 5988, 476, 1220, 277, 2139, 693, 454, 968, 5591, 932, 760, 538, 14022, 267, 3143, 1744, 582, 689, 25511, 6100, 654, 1600, 23105, 4964, 2073, 476, 1691, 4989, 476, 1220, 275, 2073, 2139, 693, 454, 594, 4306, 8980, 18614, 9835, 2591, 543, 966, 2888, 585, 519, 1344, 2486, 4066, 568, 2139, 693, 454, 808, 269, 13573, 834, 22416, 904, 807, 1286, 555, 773, 1407, 21102, 9416, 2580, 18917, 5240, 267, 476, 4029, 4728, 476, 1220, 276, 267, 2139, 693, 912, 1548, 4523, 950, 513, 812, 568, 24673, 609, 513, 2780, 286, 2311, 24910, 2782, 19213, 781, 2546, 2676, 589, 269, 3400, 2378, 14259, 968, 27184, 2839, 1677, 903, 892, 25067, 267, 476, 1220, 277, 563, 589, 269, 3057, 10767, 3455, 267, 1696, 620, 269, 968, 3412, 8690, 762, 16674, 2839, 585, 634, 2657, 12752, 892, 4873, 476, 1220, 276, 269, 12232, 693, 912, 1912, 269, 26689, 1276, 328, 267, 623, 6993, 269, 654, 4526, 267, 631, 269, 26290, 3122, 267, 717, 269, 24162, 10458, 543, 700, 269, 670, 14923, 7736, 6361, 3734, 5222, 540, 24245, 454, 28669, 532, 269, 20959, 5303, 543, 5980, 18225, 267, 5292, 269, 476, 2190, 267, 3143, 269, 476, 272, 267, 6032, 269, 476, 3393, 268, 7871, 267, 476, 1220, 276, 454, 268, 476, 1724, 20620, 30267, 4979, 666, 581, 9833, 607, 513, 8772, 7121, 540, 594, 26031, 1505, 267, 1141, 519, 3755, 616, 4857, 543, 454, 2246, 5782, 5344, 607, 10362, 547, 513, 1895, 609, 1808, 4162, 563, 292, 3052, 269, 1210, 10957, 2275, 571, 9535, 3301, 267, 899, 700, 271, 874, 339, 28755, 1188, 563, 292, 3052, 269, 1210, 540, 3301, 630, 338, 333, 858, 619, 264, 547, 6895, 21168, 610, 5911, 339, 6260, 7658, 23890, 6402, 547, 1224, 454, 10520, 4784, 1239, 4586, 292, 3052, 269, 13587, 1516, 3755, 610, 16984, 693, 519, 3077, 3135, 2073, 1210, 2553, 547, 13861, 873, 267, 1419, 454, 23719, 14139, 1022, 2930, 2780, 1983, 543, 1702, 563, 763, 7638, 328, 290, 1222, 814, 1044, 2966, 547, 7500, 693, 513, 3845, 540, 827, 476, 1015, 9492, 609, 513, 1688, 18988, 5467, 543, 476, 2004, 9492, 454, 5976, 513, 7450, 5467, 855, 3112, 7500, 693, 1804, 9883, 269, 3244, 2827, 630, 5408, 552, 3052, 269, 2098, 269, 918, 325, 597, 543, 589, 269, 26741, 454, 2108, 303, 10107, 5691, 22836, 1210, 20794, 6285, 593, 3346, 1652, 5100, 15258, 1949, 1848, 264, 543, 4052, 6901, 454, 263, 5408, 717, 269, 670, 4545, 651, 9232, 288, 19750, 4039, 599, 31105, 593, 18869, 476, 13893, 6246, 1160, 343, 14383, 21998, 1848, 264, 1397, 602, 513, 3044, 3845, 454, 4754, 581, 2799, 1896, 2053, 630, 1575, 547, 476, 271, 269, 276, 332, 585, 3044, 18869, 476, 13893, 6246, 1070, 855, 609, 2417, 2333, 519, 5365, 454, 4134, 1952, 8986, 538, 519, 6846, 540, 1604, 269, 769, 519, 9277, 2013, 602, 513, 2542, 1131, 581, 2009, 693, 3677, 454, 23251, 1734, 267, 972, 616, 4066, 538, 1747, 7303, 713, 269, 2290, 4781, 1996, 20794, 4323, 1223, 581, 513, 454, 323, 2700, 3808, 532, 7014, 267, 799, 10416, 3800, 519, 3210, 942, 540, 519, 16674, 2839, 5467, 7662, 630, 5408, 454, 324, 3052, 269, 717, 10422, 269, 670, 4545, 651, 267, 631, 14371, 269, 918, 7795, 333, 834, 2304, 16674, 2839, 20028, 645, 15929, 16257, 257, 1916, 5591, 3593, 2962, 949, 849, 581, 2808, 607, 19319, 538, 2474, 540, 7834, 267, 607, 519, 3593, 949, 1256, 711, 581, 454, 10277, 540, 1373, 4857, 563, 1015, 4699, 2039, 540, 7638, 328, 290, 1222, 15498, 10039, 547, 1688, 5467, 269, 589, 5010, 5467, 6818, 630, 19723, 328, 290, 1222, 5800, 531, 454, 5649, 518, 1070, 2111, 547, 11571, 1344, 689, 16674, 2839, 15498, 540, 513, 1268, 8429, 998, 519, 7450, 563, 10214, 538, 713, 2013, 267, 25935, 519, 13863, 689, 519, 15298, 949, 2611, 4443, 585, 930, 31487, 267, 607, 28295, 454, 527, 568, 2864, 513, 7294, 5650, 267, 8506, 2027, 2213, 3937, 543, 1702, 563, 2005, 666, 581, 11130, 602, 930, 1979, 6248, 338, 616, 849, 7925, 547, 796, 10461, 2213, 25718, 630, 324, 3052, 269, 9416, 21646, 454, 19817, 625, 666, 581, 5833, 689, 513, 4837, 267, 2027, 8254, 666, 1491, 1164, 22822, 32640, 2592, 1256, 689, 1896, 454, 332, 4394, 1070, 855, 2348, 513, 5299, 540, 1979, 6248, 338, 2356, 1281, 711, 3411, 823, 585, 513, 556, 2452, 4323, 269, 8232, 540, 519, 2413, 454, 6798, 6248, 1949, 568, 711, 1759, 593, 519, 1979, 6248, 1239, 4805, 267, 855, 12346, 849, 593, 513, 968, 331, 4369, 1449, 5608, 3622, 454, 15759, 3603, 538, 519, 9300, 851, 563, 1103, 519, 2013, 540, 4550, 7308, 1111, 4027, 267, 519, 1981, 540, 28170, 633, 4323, 1058, 581, 3144, 883, 7156, 269, 2368, 454, 2181, 26606, 1286, 9755, 941, 7142, 547, 11291, 689, 519, 2344, 513, 9416, 1820, 6284, 1062, 547, 1930, 454, 663, 1376, 513, 1286, 267, 1310, 606, 3801, 21102, 519, 1286, 540, 513, 14570, 1014, 1870, 812, 269, 1306, 519, 555, 773, 1407, 941, 8572, 547, 454, 11034, 519, 2599, 543, 5397, 2476, 267, 789, 2759, 519, 8227, 781, 9416, 547, 9101, 609, 519, 1286, 4586, 11321, 10767, 3455, 693, 620, 269, 476, 2062, 5408, 602, 538, 519, 1985, 476, 1428, 1296, 972, 786, 581, 1063, 476, 272, 269, 271, 543, 476, 272, 269, 275, 2929, 454, 19723, 328, 8469, 3755, 1158, 17253, 269, 10251, 267, 519, 4589, 798, 711, 1489, 741, 10054, 609, 513, 4396, 454, 534, 4519, 267, 4849, 689, 513, 30940, 21658, 547, 4620, 11090, 3101, 563, 2690, 1383, 267, 538, 519, 2013, 540, 3653, 2359, 1184, 267, 13390, 1081, 776, 3800, 723, 1044, 3144, 538, 519, 454, 845, 540, 10357, 17393, 793, 543, 2556, 1184, 12381, 1547, 0, 17780, 593, 5767, 5515, 689, 519, 13028, 7849, 17316, 637, 19541, 630, 291, 22143, 296, 1070, 1158, 2067, 6775, 2504, 538, 476, 1708, 273, 568, 6059, 693, 476, 3953, 269, 277, 2929, 9748, 267, 1524, 476, 272, 269, 272, 2929, 9748, 689, 519, 7447, 476, 272, 3923, 3516, 269, 13870, 6603, 476, 3451, 269, 274, 2929, 9748, 538, 476, 1708, 272, 543, 476, 4029, 269, 277, 2929, 538, 476, 1708, 271, 563, 288, 10980, 538, 7147, 1141, 936, 3368, 540, 10412, 3812, 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 ]
[ 513, 14461, 1560, 269, 4658, 723, 7916, 267, 7953, 267, 543, 513, 22765, 269, 901, 568, 513, 7299, 21658, 540, 519, 834, 6420, 532, 3032, 1966, 2668, 2368, 4760, 4930, 827, 713, 1966, 281, 5291, 2517, 338, 3273, 541, 269, 2998, 4355, 2593, 4882, 3273, 541, 286, 336, 284, 6420, 532, 266, 13906, 266, 2889, 12378, 780, 2372, 1774, 676, 715, 553, 1417, 23682, 4723, 1261, 949, 581, 2111, 547, 2490, 1010, 2212, 693, 606, 5086, 543, 1163, 601, 2011, 3196, 2685, 547, 16578, 513, 15191, 1790, 1886, 8215, 10047, 269, 2107, 646, 1223, 8900, 1010, 15485, 8126, 1113, 569, 4429, 1607, 780, 2372, 1774, 676, 8065, 810, 325, 296, 11803, 769, 1931, 547, 834, 4944, 514, 538, 2011, 257, 519, 1268, 1131, 723, 547, 723, 547, 723, 4294, 513, 27414, 3196, 1354, 17259, 269, 1656, 646, 1223, 711, 798, 602, 593, 513, 11508, 1652, 1641, 563, 296, 1589, 646, 666, 269, 2334, 781, 875, 9991, 7314, 960, 267, 594, 15475, 780, 31171, 2433, 7937, 267, 667, 295, 3773, 606, 2376, 1932, 10756, 22895, 528, 6271, 1383, 267, 799, 594, 4312, 2944, 1082, 2053, 607, 513, 4928, 17431, 281, 23063, 593, 513, 11508, 1652, 15914, 22454, 1247, 8066, 513, 17919, 8868, 23276, 269, 18421, 568, 2332, 958, 19335, 269, 2060, 835, 1688, 267, 1376, 519, 8868, 15914, 29628, 269, 1411, 543, 519, 22454, 1376, 547, 17967, 4831, 22018, 3772, 538, 1931, 547, 18359, 2698, 16070, 11610, 269, 1879, 596, 4312, 29352, 476, 5197, 5232, 267, 3247, 519, 18343, 8868, 269, 1411, 3247, 1932, 267, 538, 707, 1007, 10066, 269, 898, 3085, 1405, 1256, 723, 547, 581, 513, 8868, 269, 1411, 666, 3180, 606, 1843, 538, 707, 3946, 267, 856, 538, 4395, 540, 596, 267, 543, 1847, 621, 1472, 538, 513, 8880, 29628, 9764, 5163, 269, 23893, 1267, 780, 300, 550, 528, 454, 2372, 1774, 676, 5606, 8181, 636, 594, 1589, 646, 666, 269, 2334, 781, 875, 9991, 7314, 960, 267, 594, 15475, 269, 22478, 2433, 7937, 267, 667, 295, 3773, 606, 2376, 1932, 10756, 4517, 1934, 781, 513, 8642, 1384, 1607, 3239, 568, 689, 13138, 918, 2033, 781, 543, 12463, 2480, 615, 781, 25761, 1957, 593, 519, 1641, 267, 589, 3846, 673, 7778, 540, 519, 9991, 3032, 7613, 269, 7338, 681, 269, 918, 2033, 568, 1100, 1793, 13224, 269, 5530, 17562, 543, 596, 786, 23366, 1451, 827, 918, 6951, 262, 6384, 4834, 269, 1261, 568, 538, 513, 2631, 519, 4651, 540, 2413, 17562, 780, 2372, 1774, 676, 667, 670, 1656, 1934, 781, 513, 8642, 281, 901, 3239, 568, 689, 13138, 918, 2033, 781, 543, 12463, 2480, 615, 781, 25761, 1957, 593, 519, 1641, 267, 589, 3846, 673, 7778, 540, 519, 9991, 3032, 7613, 269, 7338, 681, 269, 918, 2033, 568, 1100, 1793, 13224, 269, 5530, 17562, 543, 596, 786, 23366, 1451, 827, 918, 6951, 262, 6384, 4834, 269, 1261, 568, 538, 513, 2631, 519, 4651, 540, 2413, 17562, 563, 1607, 568, 918, 2033, 781, 1079, 1790, 11301, 2275, 520, 2203, 19347, 1384, 288, 1480, 7555, 593, 11508, 1652, 2627, 1223, 2119, 519, 1482, 630, 21353, 1227, 513, 554, 3121, 11876, 641, 18711, 1070, 855, 1131, 4440, 2887, 936, 269, 4210, 15781, 7916, 4667, 1732, 1934, 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 ]
[ 4660, 267, 610, 602, 519, 9715, 1870, 1770, 3884, 1406, 10451, 519, 2186, 540, 19614, 3025, 4397, 269, 6764, 8529, 3854, 7221, 602, 616, 7329, 548, 1058, 581, 31889, 267, 7488, 540, 2436, 519, 15717, 568, 2808, 8628, 610, 10151, 269, 12763, 519, 15717, 2530, 676, 12719, 519, 3017, 1063, 519, 1433, 1871, 543, 519, 2344, 1871, 540, 519, 10697, 269, 6355, 7221, 602, 723, 11124, 513, 2530, 538, 1871, 616, 1641, 547, 15717, 4152, 547, 2268, 543, 5431, 519, 2179, 540, 519, 2530, 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 ]
[ 314, 13707, 314, 6875, 314, 2993, 267, 2715, 258, 267, 1948, 2372, 582, 1304, 25208, 267, 476, 273, 3910, 1948, 348, 316, 1299, 1315, 287, 2715, 272, 267, 910, 272, 348, 3910, 737, 273, 267, 1449, 314, 314, 330, 273, 14963, 14963, 476, 910, 3046, 20529, 256, 1341, 272, 1498, 1107, 513, 743, 4924, 476, 276, 1412, 1321, 693, 476, 271, 281, 6187, 7711, 659, 331, 952, 621, 513, 514, 1405, 3046, 20529, 267, 1810, 1405, 4368, 621, 256, 630, 296, 865, 10355, 1205, 547, 946, 602, 5309, 267, 543, 594, 9364, 23294, 1125, 585, 621, 267, 952, 594, 5433, 1022, 1121, 16017, 31049, 4700, 1107, 678, 3712, 569, 518, 4924, 476, 276, 1412, 1321, 693, 476, 274, 281, 1626, 3371, 781, 606, 1935, 1210, 513, 16887, 9112, 630, 338, 27785, 264, 5119, 281, 1623, 332, 11764, 314, 4289, 318, 316, 28701, 2060, 314, 346, 333, 815, 20099, 314, 4289, 316, 9574, 6875, 314, 590, 27785, 26161, 314, 2715, 289, 663, 314, 346, 272, 267, 476, 272, 348, 316, 9847, 476, 272, 267, 17020, 314, 346, 272, 267, 910, 272, 9574, 4201, 11703, 267, 2715, 272, 267, 910, 272, 348, 316, 9847, 476, 272, 9574, 2715, 333, 267, 562, 348, 476, 4940, 4289, 267, 9919, 4979, 19559, 270, 273, 316, 9948, 9948, 476, 4530, 2665, 281, 1623, 332, 11764, 314, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 267, 535, 348, 316, 30916, 2652, 285, 2715, 320, 1341, 535, 267, 536, 1341, 552, 267, 524, 1341, 546, 348, 2608, 264, 1623, 332, 11764, 314, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 348, 316, 30916, 2652, 285, 2715, 320, 1341, 552, 267, 536, 1341, 546, 267, 524, 348, 2608, 264, 476, 910, 1548, 781, 4636, 609, 20099, 286, 898, 781, 513, 1360, 3608, 1599, 547, 1289, 1529, 622, 630, 26238, 8638, 616, 10321, 24323, 267, 1775, 4318, 269, 14249, 540, 6378, 2450, 267, 4171, 3259, 568, 10502, 1634, 547, 519, 1982, 693, 782, 2053, 1040, 1623, 11764, 815, 21602, 314, 346, 14310, 267, 3259, 815, 20099, 28784, 316, 9574, 1267, 815, 630, 258, 1341, 681, 27654, 287, 258, 264, 20886, 272, 6902, 282, 9919, 4979, 314, 26319, 270, 273, 14963, 22049, 1403, 314, 302, 9536, 304, 314, 26319, 3910, 1267, 314, 15631, 272, 14963, 1315, 284, 476, 273, 22049, 1267, 9948, 1299, 282, 1623, 11764, 287, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 267, 535, 348, 1623, 11764, 287, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 348, 476, 2715, 320, 1341, 535, 267, 536, 1341, 552, 267, 524, 1341, 546, 348, 2715, 320, 1341, 552, 267, 536, 1341, 546, 267, 524, 348, 476, 910, 23875, 4636, 267, 1175, 513, 6999, 585, 19870, 32473, 264, 1107, 535, 1446, 747, 1731, 4924, 476, 276, 1412, 1321, 693, 476, 278, 281, 3374, 901, 568, 513, 2241, 1498, 10169, 3653, 995, 3070, 281, 1623, 332, 11764, 314, 331, 318, 8266, 316, 28701, 6875, 314, 331, 1341, 681, 27654, 314, 331, 3910, 9919, 4979, 314, 21920, 314, 331, 316, 270, 273, 14963, 476, 898, 786, 2285, 596, 519, 1647, 3693, 7466, 267, 711, 2899, 269, 1772, 621, 1271, 602, 596, 1152, 1205, 524, 630, 663, 711, 476, 273, 322, 264, 950, 7311, 713, 1599, 547, 2715, 320, 14720, 22698, 28504, 267, 324, 348, 286, 2334, 781, 2653, 547, 798, 630, 28300, 532, 7384, 2609, 7466, 568, 849, 2653, 1070, 855, 786, 1118, 519, 1599, 5594, 3476, 269, 1452, 3435, 782, 946, 20099, 1498, 269, 3371, 781, 513, 4806, 2861, 3070, 799, 30417, 20099, 281, 12055, 314, 346, 14310, 13090, 9574, 2715, 338, 318, 267, 4571, 13090, 267, 552, 318, 348, 316, 28701, 12055, 314, 346, 14310, 267, 552, 1341, 521, 9574, 2715, 13232, 348, 316, 12055, 314, 346, 14310, 13090, 9574, 15079, 316, 28701, 2715, 14310, 348, 12055, 314, 346, 14310, 13090, 9574, 2715, 13232, 318, 348, 316, 28701, 2715, 14310, 267, 4571, 348, 1623, 332, 11764, 314, 331, 318, 8266, 316, 28701, 12055, 314, 346, 9574, 561, 316, 476, 1411, 949, 1616, 547, 12189, 713, 607, 1623, 332, 11764, 314, 331, 318, 8266, 316, 28701, 13332, 314, 346, 259, 296, 614, 566, 21918, 527, 815, 5606, 6541, 9574, 12055, 314, 346, 9574, 561, 316, 6540, 454, 1729, 1118, 621, 960, 585, 11737, 337, 3320, 1279, 8638, 780, 8894, 266, 272, 585, 12055, 319, 6902, 8799, 256, 1107, 1109, 16031, 15030, 19123, 4924, 476, 275, 1412, 1321, 693, 476, 2641, 281, 4343, 0, 258, 7787, 1297, 1362, 692, 289, 21186, 928, 853, 709, 11584, 335, 968, 25284, 2719, 14362, 543, 6657, 4635, 595, 10030, 7536, 6637, 476, 280, 11644, 476, 1724, 454, 8794, 1109, 560, 323, 9078, 756, 6958, 659, 1988, 19544, 1109, 2421, 645, 21186, 928, 853, 709, 11584, 335, 780, 3499, 2260, 453, 24589, 2089, 590, 1221, 2401, 454, 2260, 453, 289, 21186, 928, 853, 709, 11584, 335, 781, 623, 13048, 454, 2260, 453, 6637, 476, 280, 11644, 476, 1724, 692, 258, 514, 2850, 834, 560, 323, 9078, 756, 6958, 659, 1988, 19544, 5016, 2260, 22772, 6574, 1455, 14009, 454, 842, 1265, 14682, 7251, 17301, 513, 267, 703, 536, 994, 19127, 6112, 630, 321, 11203, 476, 271, 264, 13634, 842, 10917, 815, 536, 3248, 321, 815, 513, 4939, 536, 3248, 320, 815, 10917, 3248, 322, 719, 24177, 834, 320, 815, 834, 24177, 513, 24177, 1439, 331, 3248, 322, 719, 24177, 834, 321, 815, 834, 24177, 536, 24177, 1439, 331, 3248, 8679, 322, 719, 24177, 834, 325, 1400, 513, 815, 834, 24177, 513, 24177, 1439, 331, 3248, 8873, 513, 3248, 10926, 5035, 21929, 13634, 1440, 10675, 912, 842, 19362, 3248, 842, 14009, 3248, 29602, 3070, 16963, 21504, 912, 305, 1049, 3890, 3248, 305, 1049, 17301, 267, 703, 32007, 842, 1205, 5332, 10179, 1807, 3890, 2715, 2132, 19362, 282, 7684, 454, 842, 1205, 5091, 523, 7631, 1807, 3890, 476, 2715, 2132, 14009, 282, 7684, 454, 29602, 1205, 5334, 1828, 3890, 2715, 2132, 3070, 282, 7684, 692, 341, 1355, 1820, 5334, 1828, 3890, 2715, 524, 719, 24177, 3070, 24177, 1439, 331, 282, 7684, 692, 341, 1355, 3339, 1047, 3890, 3248, 341, 1355, 6460, 15461, 5091, 19302, 3890, 16963, 341, 1355, 11346, 14352, 305, 1049, 678, 272, 11850, 348, 16963, 305, 1049, 15311, 305, 1049, 3890, 13634, 333, 10179, 1807, 815, 476, 272, 3248, 6577, 7631, 1807, 815, 476, 272, 3248, 10926, 305, 1049, 15311, 305, 1049, 17301, 513, 267, 703, 536, 264, 13634, 333, 10179, 1807, 815, 513, 3248, 6577, 7631, 1807, 815, 536, 3248, 10926, 341, 1355, 21929, 15311, 7538, 1047, 3890, 13634, 604, 630, 6577, 7631, 1807, 2652, 476, 271, 264, 5470, 2891, 6577, 7631, 1807, 568, 4642, 8442, 3248, 604, 630, 6577, 7631, 1807, 2999, 476, 271, 264, 2715, 14009, 815, 910, 6577, 7631, 1807, 282, 19362, 815, 910, 333, 10179, 1807, 282, 7684, 454, 842, 562, 815, 1265, 14682, 7251, 3799, 10179, 1807, 267, 14009, 11850, 604, 630, 333, 3436, 476, 272, 264, 2715, 19362, 1315, 284, 562, 282, 14009, 1315, 284, 562, 282, 7684, 454, 10926, 341, 1355, 21929, 15311, 935, 3200, 15461, 5091, 19302, 3890, 13634, 338, 1828, 815, 5595, 3799, 10179, 1807, 264, 1315, 5595, 5560, 523, 7631, 1807, 11850, 10926, 341, 1355, 21929, 15311, 28072, 14352, 305, 1049, 678, 272, 264, 13634, 333, 10179, 1807, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 3248, 6577, 7631, 1807, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 3248, 10926, 305, 1049, 11346, 23444, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 1341, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 1341, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 14720, 11850, 8873, 678, 3248, 10926, 305, 1049, 11346, 24179, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 910, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 910, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 267, 536, 11850, 8873, 678, 3248, 10926, 305, 1049, 11346, 16732, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 2608, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 2608, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 267, 536, 11850, 8873, 678, 3248, 10926, 305, 1049, 11346, 14370, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 1315, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 1315, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 267, 536, 11850, 8873, 678, 3248, 10926, 321, 944, 11346, 2525, 263, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 321, 944, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 2652, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 321, 944, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 2652, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 604, 630, 320, 30974, 536, 264, 13634, 8873, 3020, 3248, 8679, 12828, 13634, 8873, 7301, 3248, 8679, 10926, 321, 944, 11346, 256, 14352, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 321, 944, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 11203, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 321, 944, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 11203, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 604, 630, 320, 30974, 536, 264, 13634, 8873, 3020, 3248, 8679, 12828, 13634, 8873, 7301, 3248, 8679, 10926, 842, 1292, 4590, 339, 787, 454, 19127, 305, 1049, 1250, 305, 1049, 263, 1789, 267, 476, 2537, 11850, 305, 1049, 1250, 305, 1049, 272, 263, 2641, 267, 275, 32007, 3240, 305, 1049, 815, 1250, 305, 1049, 1341, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 910, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 2608, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 1315, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 604, 630, 3240, 305, 1049, 272, 2652, 1250, 305, 1049, 264, 13634, 322, 719, 24177, 834, 16884, 2338, 616, 3160, 257, 24177, 1439, 331, 3248, 10926, 604, 630, 3240, 305, 1049, 272, 11203, 1250, 305, 1049, 264, 13634, 322, 719, 24177, 834, 16884, 2338, 616, 711, 3160, 257, 24177, 1439, 331, 3248, 10926, 18141, 318, 30720, 318, 13449, 3890, 3248, 8679, 322, 2255, 630, 745, 660, 830, 318, 19587, 552, 264, 13634, 322, 719, 24177, 552, 269, 6343, 3890, 24177, 1439, 331, 3248, 18141, 318, 30720, 318, 13449, 3890, 3248, 8679, 322, 2255, 630, 1862, 264, 13634, 322, 719, 24177, 834, 2750, 1746, 257, 24177, 1439, 331, 3248, 18141, 318, 30720, 318, 13449, 3890, 3248, 8679, 8199, 3499, 20479, 912, 272, 269, 31229, 8660, 454, 272, 269, 19054, 3374, 454, 277, 269, 279, 5325, 10695, 454, 272, 269, 19054, 3374, 454, 276, 269, 1839, 454, 16884, 2338, 616, 3160, 454, 8923, 4283, 513, 1915, 547, 14827, 454, 7884, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 280, 856, 540, 476, 1015, 1759, 593, 476, 278, 6858, 16863, 269, 476, 274, 267, 23056, 3593, 8039, 780, 258, 13316, 27699, 6579, 11862, 29206, 303, 3918, 16249, 16998, 4338, 9391, 6730, 667, 25353, 692, 314, 14457, 2639, 306, 11799, 27699, 6579, 11862, 3955, 31147, 4578, 281, 28977, 454, 23054, 338, 946, 13063, 547, 1397, 1239, 269, 1677, 1224, 713, 3113, 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 ]
[ 519, 2634, 269, 1306, 513, 12343, 267, 519, 1184, 540, 8108, 8823, 267, 11093, 8823, 538, 519, 1318, 1747, 538, 519, 2634, 543, 11291, 532, 267, 616, 4299, 563, 4407, 6527, 543, 11257, 616, 930, 540, 519, 4122, 1904, 539, 585, 2757, 2409, 540, 8156, 17971, 267, 930, 23349, 543, 3860, 2081, 971, 607, 267, 2575, 3797, 267, 1148, 3797, 267, 1226, 710, 3797, 267, 3092, 1421, 723, 849, 8810, 547, 581, 3811, 538, 519, 2126, 540, 17971, 563, 24523, 12153, 3114, 5305, 454, 2005, 814, 1044, 1318, 569, 1767, 602, 2575, 865, 582, 1127, 835, 779, 9997, 543, 2247, 269, 1809, 267, 519, 2640, 540, 2575, 666, 849, 581, 2938, 538, 7067, 835, 779, 2790, 1072, 4713, 269, 23016, 547, 2575, 3091, 835, 513, 2631, 540, 3106, 543, 3354, 607, 1134, 607, 513, 2631, 540, 1852, 936, 835, 779, 1378, 10450, 267, 1560, 543, 2247, 269, 2755, 513, 1268, 7231, 609, 17971, 7959, 17212, 1386, 1310, 6947, 547, 2575, 267, 621, 666, 849, 948, 5818, 835, 779, 1582, 21873, 543, 7668, 1864, 17017, 609, 2318, 4555, 563, 24523, 2640, 606, 1367, 676, 7175, 519, 5305, 540, 6464, 538, 519, 1480, 2634, 269, 901, 2337, 16297, 835, 779, 1560, 543, 2247, 689, 519, 1928, 269, 8535, 7512, 2792, 1063, 519, 16794, 543, 1346, 2694, 540, 519, 2634, 602, 1852, 3965, 267, 7553, 543, 2168, 1852, 563, 4913, 267, 621, 568, 1271, 547, 3314, 602, 835, 1058, 581, 1360, 6297, 827, 519, 2186, 540, 2575, 646, 24172, 1592, 839, 547, 269, 1280, 3236, 267, 568, 5255, 3055, 18565, 267, 536, 2088, 1116, 20054, 267, 1395, 10394, 1116, 20054, 543, 8964, 609, 1970, 12334, 543, 11931, 20054, 666, 723, 513, 7067, 1198, 267, 6466, 8964, 602, 723, 2901, 9275, 610, 23475, 1913, 666, 2014, 4160, 563, 15987, 2575, 19310, 1080, 513, 1114, 3210, 538, 1142, 1268, 267, 2090, 723, 8810, 602, 513, 1978, 1826, 540, 2575, 568, 811, 6225, 585, 17971, 2550, 269, 769, 513, 2487, 1353, 267, 2635, 5171, 941, 6534, 547, 476, 276, 8792, 14242, 5712, 540, 23940, 267, 13672, 543, 18325, 10726, 12451, 269, 898, 729, 4767, 602, 4598, 547, 1395, 10394, 1116, 10726, 7886, 4389, 519, 2157, 540, 2566, 543, 4160, 563, 2467, 568, 4126, 454, 763, 2136, 2276, 14130, 814, 10294, 519, 3923, 540, 4873, 607, 519, 17971, 17607, 13600, 269, 901, 3923, 6663, 693, 10825, 4656, 827, 519, 2790, 1072, 4524, 543, 922, 2500, 5574, 269, 1924, 267, 713, 1032, 267, 1577, 779, 960, 1927, 543, 948, 1004, 917, 811, 827, 519, 2409, 547, 10826, 17971, 1519, 519, 23349, 3283, 563, 2252, 596, 917, 2576, 945, 568, 7231, 609, 17971, 610, 1022, 1106, 540, 2790, 4576, 267, 590, 30371, 793, 2657, 666, 948, 1864, 610, 1200, 1921, 609, 2790, 1072, 6703, 538, 4993, 269, 11910, 938, 476, 2190, 270, 278, 927, 680, 710, 1297, 476, 279, 5780, 268, 9032, 274, 268, 278, 1626, 275, 610, 10004, 2228, 609, 835, 540, 938, 13222, 547, 1205, 2347, 1344, 827, 938, 3102, 2790, 1072, 14317, 7740, 538, 4993, 543, 824, 2829, 540, 519, 772, 2529, 269, 0, 3519, 3667, 689, 1250, 9215, 9128, 299, 2542, 1433, 269, 1809, 519, 14868, 602, 723, 6738, 909, 1472, 519, 32537, 949, 3136, 607, 851, 540, 519, 1895, 779, 5711, 2245, 543, 949, 1256, 2097, 547, 581, 19500, 856, 896, 2175, 32682, 1027, 689, 891, 32537, 269, 1879, 713, 4386, 267, 519, 1101, 1900, 814, 1044, 3144, 4724, 14364, 607, 606, 14628, 2534, 267, 543, 27502, 9913, 543, 12716, 2418, 949, 7930, 5372, 519, 5449, 25386, 543, 13998, 3759, 20160, 4145, 269, 2878, 20594, 1262, 19743, 782, 269, 594, 4126, 596, 616, 782, 2348, 513, 1390, 1554, 594, 4312, 1175, 2097, 2066, 713, 851, 538, 1250, 9215, 9128, 299, 2542, 1433, 543, 2186, 540, 3893, 12758, 269, 1548, 1281, 519, 2278, 4010, 1611, 676, 1412, 1492, 1101, 1900, 814, 1044, 3144, 4724, 14364, 262, 543, 1412, 324, 1553, 20160, 286, 262, 6496, 621, 1611, 1945, 899, 1412, 821, 7140, 547, 14364, 950, 713, 4386, 286, 262, 4746, 267, 594, 6415, 3833, 3222, 540, 875, 713, 8468, 1568, 543, 6836, 547, 7747, 519, 4341, 281, 1413, 585, 8675, 1354, 596, 2022, 269, 1809, 267, 594, 6415, 1869, 4503, 593, 1412, 324, 1553, 20160, 262, 1256, 1310, 17874, 1896, 21594, 269, 898, 1175, 1281, 3833, 2458, 11229, 1134, 547, 2161, 1412, 25791, 569, 3759, 20160, 4145, 8339, 0, 5970, 596, 2479, 8068, 602, 707, 3032, 666, 3666, 593, 519, 555, 4883, 652, 540, 8728, 24672, 286, 11531, 267, 649, 3425, 6560, 547, 3251, 20005, 950, 519, 1016, 3118, 28478, 802, 721, 1472, 693, 19060, 5662, 269, 3371, 779, 513, 2370, 5813, 883, 741, 26804, 11419, 563, 763, 9059, 4523, 538, 519, 6418, 1274, 454, 9617, 899, 538, 1480, 7919, 267, 513, 3032, 779, 2631, 540, 3666, 2501, 689, 519, 6418, 1274, 269, 918, 8636, 839, 616, 2111, 547, 2697, 799, 1259, 568, 1524, 689, 4332, 269, 1717, 267, 2687, 547, 966, 564, 560, 22901, 267, 6539, 29181, 616, 2111, 547, 1318, 2933, 4571, 2011, 693, 2185, 547, 3670, 4374, 267, 543, 676, 4557, 547, 12964, 4374, 789, 616, 2111, 547, 1193, 583, 741, 8631, 2066, 513, 7522, 28506, 563, 6546, 779, 1317, 789, 723, 1279, 267, 8465, 19758, 543, 1100, 27897, 7633, 269, 4256, 32356, 849, 948, 873, 9787, 8371, 269, 1403, 789, 2887, 267, 7314, 1448, 741, 8188, 1524, 543, 519, 1964, 540, 741, 1560, 627, 2354, 1472, 2394, 782, 2185, 533, 9155, 616, 6849, 519, 2666, 563, 763, 2766, 8591, 513, 4831, 3666, 454, 28074, 899, 9395, 549, 701, 3802, 619, 3180, 513, 8880, 15393, 543, 27590, 6814, 8831, 741, 7916, 543, 7953, 547, 6952, 2933, 1354, 789, 2887, 1055, 540, 513, 3666, 11237, 267, 7314, 849, 9133, 741, 2766, 547, 2901, 2427, 538, 1931, 547, 3251, 593, 3950, 269, 634, 2766, 3884, 1406, 2838, 540, 782, 7314, 267, 2705, 267, 607, 1896, 27342, 339, 9229, 543, 28580, 650, 612, 14981, 616, 2111, 547, 3666, 2933, 1175, 5386, 563, 1432, 827, 7314, 602, 2887, 936, 888, 288, 2887, 1934, 543, 972, 949, 581, 804, 4548, 1465, 267, 855, 952, 707, 3032, 8813, 14578, 267, 972, 949, 581, 513, 2564, 2783, 547, 16620, 269, 2290, 971, 2783, 568, 26804, 6147, 10428, 541, 3834, 6955, 14901, 269, 19949, 609, 713, 4524, 616, 3006, 5219, 547, 607, 968, 342, 984, 29087, 6539, 2906, 892, 1317, 789, 723, 8373, 5329, 741, 3666, 267, 855, 616, 6382, 5827, 540, 2713, 1279, 267, 2635, 2729, 563, 293, 5202, 22514, 24212, 2068, 666, 1397, 909, 1510, 9963, 543, 4734, 519, 1482, 1259, 269, 898, 568, 606, 4576, 540, 519, 6418, 1274, 602, 568, 1419, 2053, 7329, 11340, 987, 545, 269, 12580, 1331, 2212, 21266, 1154, 267, 546, 691, 532, 3750, 5322, 267, 543, 13481, 269, 2659, 17022, 949, 1616, 547, 1685, 606, 18909, 267, 1535, 11920, 267, 610, 1973, 4255, 547, 4341, 856, 811, 3978, 10108, 971, 607, 14715, 4713, 267, 5563, 267, 610, 2860, 563, 290, 663, 864, 4432, 1047, 670, 3996, 568, 513, 4620, 1694, 614, 543, 5816, 3455, 693, 15576, 773, 779, 14173, 1399, 269, 2701, 568, 513, 10927, 540, 519, 631, 11902, 5675, 5358, 693, 4993, 5441, 540, 519, 8551, 563, 20124, 676, 744, 2742, 310, 593, 623, 1460, 629, 599, 269, 0, 1432, 568, 23093, 26511, 888, 288, 15264, 568, 513, 2923, 3758, 602, 568, 7856, 865, 602, 606, 5304, 666, 3362, 1569, 543, 4647, 519, 3758, 585, 15409, 946, 269, 623, 8991, 2177, 3201, 10396, 667, 4932, 13263, 256, 9521, 31076, 267, 27143, 616, 2139, 547, 596, 782, 519, 942, 269, 1411, 666, 24049, 547, 15264, 2982, 267, 14501, 610, 6119, 543, 4647, 873, 547, 707, 2780, 543, 5985, 3926, 971, 607, 19503, 617, 267, 930, 11436, 267, 3092, 269, 1775, 307, 17480, 568, 519, 1034, 2442, 15264, 13156, 3760, 269, 769, 824, 1913, 267, 15264, 532, 568, 513, 1505, 540, 3892, 563, 2690, 2870, 27143, 593, 5839, 543, 8837, 267, 2912, 13369, 568, 513, 1863, 8301, 10916, 543, 11049, 1982, 269, 1411, 666, 12575, 2789, 8301, 13475, 543, 1711, 513, 6422, 15264, 563, 2414, 1205, 513, 5299, 540, 519, 3301, 5225, 3643, 519, 10748, 13369, 3896, 281, 5291, 2517, 7596, 13369, 4732, 1830, 14492, 13045, 2414, 2070, 519, 5850, 267, 5225, 3643, 713, 2546, 281, 5291, 2517, 7596, 13369, 4732, 1830, 1721, 613, 14492, 270, 2006, 783, 268, 272, 269, 273, 14121, 583, 3645, 338, 11258, 454, 307, 583, 3645, 338, 270, 1692, 910, 2414, 8249, 454, 2690, 1344, 3823, 15264, 532, 689, 14151, 3557, 2160, 781, 1775, 307, 17480, 772, 2230, 267, 5225, 1246, 713, 3095, 6789, 308, 1775, 307, 17480, 772, 23093, 4751, 12754, 263, 10472, 786, 19334, 1775, 307, 17480, 1040, 1358, 723, 2653, 547, 1246, 1547, 23486, 6119, 630, 514, 519, 1106, 540, 13371, 17446, 264, 602, 2482, 856, 519, 9238, 540, 15264, 532, 689, 3384, 707, 1788, 1523, 267, 14045, 875, 547, 15814, 707, 2923, 3758, 267, 543, 849, 8800, 3435, 602, 596, 949, 1616, 547, 2015, 1759, 593, 519, 6422, 540, 707, 1788, 630, 328, 4318, 269, 5967, 532, 513, 1641, 267, 13830, 513, 11000, 543, 5304, 2055, 267, 6721, 513, 10916, 18638, 2511, 2504, 267, 3092, 4700, 0, 15031, 1466, 568, 519, 1379, 610, 4390, 547, 22036, 1510, 24255, 1945, 602, 568, 2352, 610, 10990, 762, 267, 17246, 30970, 543, 1279, 1606, 4428, 1359, 269, 4793, 1466, 568, 606, 1271, 1907, 538, 20408, 17140, 269, 4793, 1466, 2636, 721, 547, 7080, 754, 10385, 1279, 2614, 547, 1118, 5483, 3664, 267, 3976, 22338, 519, 2619, 547, 513, 6126, 543, 12560, 1272, 563, 2080, 616, 930, 2640, 540, 9639, 912, 268, 21111, 1004, 2972, 1732, 2790, 1072, 563, 268, 21111, 1004, 616, 1732, 2828, 543, 12543, 563, 268, 4793, 1466, 2337, 721, 3035, 938, 3853, 563, 268, 4793, 1466, 568, 5532, 547, 1434, 1072, 563, 2108, 9802, 2696, 267, 945, 3947, 713, 9639, 543, 19015, 267, 948, 596, 2661, 538, 2347, 454, 327, 1301, 3415, 609, 1142, 824, 607, 952, 17501, 585, 13794, 540, 2441, 4906, 1848, 630, 7931, 476, 1428, 281, 476, 276, 994, 2108, 6826, 4904, 609, 2648, 543, 9639, 2223, 630, 307, 7978, 476, 273, 281, 273, 3738, 968, 2041, 3461, 538, 8373, 2223, 630, 305, 558, 476, 1321, 281, 1321, 264, 968, 2041, 3461, 609, 3025, 2223, 630, 272, 634, 338, 476, 276, 281, 1691, 264, 968, 754, 675, 20655, 3461, 569, 2223, 630, 3725, 341, 476, 1691, 281, 1321, 264, 968, 1721, 2696, 31372, 3461, 569, 1247, 25424, 729, 2679, 1010, 10935, 892, 630, 272, 30821, 476, 274, 281, 736, 264, 968, 663, 865, 594, 31372, 3461, 569, 585, 519, 7083, 892, 630, 11679, 476, 2412, 281, 272, 1916, 13295, 609, 9639, 543, 16608, 267, 596, 786, 4688, 707, 1272, 269, 2142, 3461, 693, 782, 454, 9392, 269, 645, 1652, 902, 267, 2605, 269, 590, 996, 0, 288, 6112, 1394, 594, 1224, 827, 875, 16413, 616, 5051, 3843, 547, 1711, 3039, 5656, 676, 7311, 10357, 7888, 2418, 543, 1818, 946, 540, 4199, 18026, 4070, 2409, 543, 2326, 630, 29791, 1040, 2201, 2921, 513, 1413, 693, 930, 540, 519, 9241, 3710, 610, 22058, 730, 2048, 13582, 5656, 685, 594, 729, 16397, 711, 1152, 676, 519, 5656, 2318, 1198, 593, 519, 1604, 267, 855, 875, 4190, 789, 941, 267, 543, 875, 2067, 2609, 543, 2326, 1185, 1044, 5828, 883, 11265, 25704, 971, 607, 519, 835, 2630, 563, 1103, 1840, 547, 519, 8353, 24312, 24886, 11265, 1374, 540, 1082, 3039, 5656, 267, 972, 616, 849, 824, 3334, 602, 1118, 891, 3889, 13476, 7874, 269, 634, 1523, 540, 2679, 2048, 13582, 685, 9607, 513, 2679, 779, 1764, 593, 519, 1604, 267, 1519, 1216, 543, 1648, 4398, 267, 6757, 1570, 543, 4396, 3653, 5786, 267, 2011, 2298, 543, 519, 946, 540, 4264, 2679, 2326, 538, 782, 2127, 563, 3080, 540, 519, 6080, 602, 1419, 1491, 513, 25588, 1813, 547, 741, 7372, 1648, 4616, 568, 519, 9913, 543, 25877, 2872, 269, 2060, 519, 4417, 540, 5985, 25877, 3756, 543, 824, 4244, 9913, 3681, 891, 24284, 723, 1185, 547, 556, 2232, 711, 1152, 741, 32033, 6075, 3490, 267, 855, 849, 741, 1764, 593, 519, 1604, 543, 519, 7372, 2179, 540, 1648, 789, 8532, 269, 20098, 30988, 568, 606, 1858, 12021, 585, 922, 10373, 8732, 16394, 543, 9913, 5749, 553, 543, 4277, 569, 2614, 267, 621, 779, 1631, 849, 1753, 547, 835, 540, 519, 4102, 3039, 2679, 3785, 547, 4266, 269, 634, 589, 6319, 1763, 677, 1299, 16629, 3626 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28184, 5793, 607, 28184, 454, 258, 689, 1239, 6958, 559, 614, 1104, 1292, 6958, 684, 692, 5228, 28184, 5793, 1104, 512, 339, 330, 267, 301, 267, 310, 267, 292, 267, 306, 692, 10174, 815, 28184, 11053, 330, 4590, 10174, 26644, 2891, 8722, 564, 547, 631, 4394, 15419, 3698, 1292, 6958, 15635, 10031, 825, 7397, 15630, 263, 1015, 2020, 10852, 18134, 815, 512, 339, 330, 12171, 9347, 20172, 267, 14950, 3429, 6889, 274, 476, 274, 476, 1321, 476, 1321, 5602, 10852, 18134, 26942, 263, 26383, 284, 271, 267, 4737, 284, 271, 267, 20202, 14352, 301, 267, 654, 267, 661, 267, 590, 4917, 10174, 269, 26383, 20813, 2682, 263, 271, 267, 2597, 284, 272, 994, 10174, 269, 992, 20813, 2682, 263, 271, 267, 2597, 284, 272, 2020, 10623, 564, 815, 28184, 269, 21803, 309, 541, 4590, 332, 4394, 815, 28184, 269, 21803, 309, 541, 10797, 10623, 564, 318, 18782, 815, 512, 339, 330, 9950, 660, 787, 9852, 664, 18134, 267, 8700, 284, 2767, 267, 1257, 19702, 762, 284, 10623, 564, 994, 10623, 564, 318, 18782, 26942, 263, 26383, 284, 273, 267, 4737, 284, 272, 267, 20202, 14352, 310, 267, 661, 11723, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 19702, 762, 284, 332, 4394, 1040, 28186, 263, 26383, 284, 273, 267, 4737, 284, 273, 267, 20202, 14352, 310, 267, 661, 4917, 1777, 330, 269, 3719, 2023, 9852, 664, 18134, 267, 1257, 6889, 24280, 2580, 4971, 284, 10852, 6958, 15635, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 274, 267, 20202, 284, 310, 2020, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 6889, 10623, 564, 20257, 28186, 263, 26383, 284, 274, 267, 4737, 284, 272, 267, 20202, 284, 310, 994, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 6889, 529, 6697, 547, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 273, 267, 20202, 284, 292, 994, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 6889, 332, 4394, 20257, 28186, 263, 26383, 284, 274, 267, 4737, 284, 273, 267, 20202, 284, 310, 2020, 1721, 1126, 538, 1292, 18134, 269, 7773, 325, 334, 15220, 10242, 263, 2567, 1126, 26942, 318, 20813, 2682, 9638, 611, 343, 284, 276, 267, 533, 8014, 284, 276, 2020, 10623, 564, 318, 18782, 8807, 1371, 4590, 10174, 12500, 785, 3488, 283, 27987, 285, 3299, 1292, 6958, 15635, 2020, 10174, 6230, 664, 31467, 3890, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 9045, 8734, 476, 476, 274, 476, 1704, 281, 6187, 281, 1556, 476, 1001, 279, 692, 287, 10461, 281, 695, 2033, 692, 12710, 19798, 9281, 2975, 9569, 9338, 294, 3036, 18952, 300, 692, 12218, 3079, 540, 1871, 630, 2958, 1833, 2020, 289, 12118, 585, 2620, 1565, 692, 30791, 10465, 267, 10343, 693, 513, 796, 328, 692, 342, 815, 530, 272, 267, 530, 273, 454, 343, 815, 1535, 272, 267, 1535, 273, 454, 344, 815, 6003, 476, 271, 610, 476, 272, 692, 344, 1002, 815, 12605, 267, 476, 271, 610, 476, 272, 692, 274, 291, 1239, 267, 17501, 513, 476, 273, 291, 7077, 10465, 692, 11693, 519, 3349, 538, 519, 3381, 1657, 267, 1018, 1131, 519, 7516, 581, 585, 3097, 6358, 2934, 630, 343, 1070, 519, 12035, 630, 310, 1070, 543, 519, 9186, 630, 321, 264, 547, 14183, 630, 310, 343, 1341, 536, 25145, 753, 281, 654, 281, 263, 272, 265, 333, 1070, 1535, 281, 263, 333, 265, 272, 1070, 536, 281, 272, 265, 272, 4534, 2094, 536, 568, 513, 3586, 692, 20701, 12163, 25807, 4753, 8976, 305, 2177, 692, 763, 2679, 3625, 540, 8356, 1968, 5121, 267, 1175, 519, 17683, 540, 513, 1599, 883, 3097, 320, 3113, 780, 11687, 263, 278, 8358, 23054, 263, 277, 264, 9847, 6843, 8987, 1240, 264, 9847, 3977, 692, 20701, 5814, 21795, 607, 19073, 692, 258, 6730, 25783, 4753, 8976, 305, 2177, 454, 2745, 28361, 333, 13263, 25783, 4753, 8976, 305, 2177, 14826, 5073, 258, 5590, 2597, 272, 267, 2597, 273, 267, 543, 9186, 454, 7076, 272, 815, 476, 271, 269, 276, 454, 7076, 273, 815, 476, 271, 269, 276, 454, 321, 5362, 815, 910, 272, 269, 271, 692, 258, 667, 2177, 31415, 8863, 3198, 12283, 4888, 312, 8025, 5058, 645, 5085, 8582, 454, 258, 18452, 338, 543, 17016, 454, 11687, 17750, 338, 815, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 630, 272, 267, 476, 271, 1070, 630, 272, 267, 476, 272, 22708, 322, 8091, 318, 16059, 338, 815, 1496, 16178, 267, 8771, 267, 8771, 267, 6936, 2639, 16059, 338, 815, 29129, 258, 2637, 4733, 543, 2638, 3977, 454, 1721, 1449, 17750, 267, 2953, 318, 16059, 538, 23407, 6025, 652, 17750, 338, 267, 2953, 318, 16059, 338, 2187, 825, 5276, 318, 18474, 1588, 815, 2597, 272, 2608, 1449, 17750, 314, 271, 316, 1341, 2597, 273, 2608, 1449, 17750, 314, 272, 316, 1341, 9186, 454, 825, 3977, 815, 703, 263, 15035, 318, 18474, 1588, 13843, 476, 271, 994, 825, 568, 6831, 8091, 23952, 815, 1412, 8133, 262, 952, 3977, 2652, 2953, 318, 16059, 3116, 1412, 5591, 7055, 825, 17016, 6910, 8443, 11687, 17750, 314, 271, 3910, 1449, 17750, 314, 272, 3910, 5276, 318, 18474, 1588, 267, 3977, 267, 568, 6831, 8091, 23952, 20285, 258, 7179, 3977, 454, 11133, 16062, 3994, 815, 7003, 8443, 16059, 314, 275, 316, 585, 3977, 538, 17016, 952, 3977, 314, 275, 316, 2652, 1412, 5591, 262, 7481, 16059, 6958, 9347, 815, 19073, 6185, 1092, 20988, 263, 16059, 338, 267, 9587, 284, 9131, 19152, 476, 272, 3299, 1412, 476, 18452, 476, 273, 3299, 1412, 476, 12430, 10395, 1588, 3299, 1412, 476, 2920, 10474, 19243, 3299, 1412, 476, 1772, 22043, 262, 7481, 604, 711, 1003, 16062, 3994, 912, 825, 1820, 3488, 301, 823, 256, 476, 1411, 3893, 621, 782, 2953, 26142, 333, 5073, 12828, 912, 825, 1820, 3488, 2791, 3893, 15079, 4636, 269, 476, 5901, 3843, 256, 315, 333, 8339, 8971, 16325, 16062, 3994, 4917, 2745, 263, 16059, 6958, 9347, 30419, 23952, 263, 8161, 25716, 11723, 258, 10758, 25783, 4753, 8976, 305, 2177, 454, 2745, 28361, 333, 3036, 25783, 4753, 8976, 305, 2177, 14826, 17210, 258, 5590, 2597, 272, 267, 2597, 273, 267, 543, 9186, 454, 7076, 272, 815, 476, 271, 269, 276, 454, 7076, 273, 815, 476, 271, 269, 276, 454, 321, 5362, 815, 910, 271, 269, 276, 692, 258, 667, 2177, 31415, 8863, 3198, 12283, 4888, 312, 8025, 5058, 645, 5085, 8582, 454, 258, 18452, 338, 543, 17016, 454, 11687, 17750, 338, 815, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 630, 272, 267, 476, 271, 1070, 630, 272, 267, 476, 272, 22708, 322, 8091, 318, 16059, 338, 815, 1496, 16178, 267, 6936, 267, 6936, 267, 6936, 2639, 16059, 338, 815, 29129, 258, 2637, 4733, 543, 2638, 3977, 454, 1721, 1449, 17750, 267, 2953, 318, 16059, 538, 23407, 6025, 652, 17750, 338, 267, 2953, 318, 16059, 338, 2187, 825, 5276, 318, 18474, 1588, 815, 2597, 272, 2608, 1449, 17750, 314, 271, 316, 1341, 2597, 273, 2608, 1449, 17750, 314, 272, 316, 1341, 9186, 454, 825, 3977, 815, 703, 263, 15035, 318, 18474, 1588, 13843, 476, 271, 994, 825, 568, 6831, 8091, 23952, 815, 1412, 8133, 262, 952, 3977, 2652, 2953, 318, 16059, 3116, 1412, 5591, 7055, 825, 17016, 6910, 8443, 11687, 17750, 314, 271, 3910, 1449, 17750, 314, 272, 3910, 5276, 318, 18474, 1588, 267, 3977, 267, 568, 6831, 8091, 23952, 20285, 258, 7179, 3977, 454, 11133, 16062, 3994, 815, 7003, 8443, 16059, 314, 275, 316, 585, 3977, 538, 17016, 952, 3977, 314, 275, 316, 2652, 1412, 5591, 262, 7481, 16059, 6958, 9347, 815, 19073, 6185, 1092, 20988, 263, 16059, 338, 267, 9587, 284, 9131, 19152, 476, 272, 3299, 1412, 476, 18452, 476, 273, 3299, 1412, 476, 12430, 10395, 1588, 3299, 1412, 476, 2920, 10474, 19243, 3299, 1412, 476, 1772, 22043, 262, 7481, 604, 711, 1003, 16062, 3994, 912, 825, 1820, 3488, 301, 823, 256, 476, 1411, 3893, 621, 782, 2953, 26142, 333, 5073, 12828, 912, 825, 1820, 3488, 2791, 3893, 15079, 4636, 269, 476, 5901, 3843, 256, 315, 333, 8339, 8971, 16325, 16062, 3994, 4917, 2745, 263, 16059, 6958, 9347, 30419, 23952, 263, 8161, 25716, 264, 9239, 258, 10691, 25783, 4753, 8976, 305, 2177, 454, 2745, 28361, 333, 27237, 25783, 4753, 8976, 305, 2177, 14826, 17210, 258, 570, 7495, 302, 281, 5590, 2597, 272, 267, 2597, 273, 267, 543, 9186, 454, 7076, 272, 815, 476, 271, 269, 271, 454, 7076, 273, 815, 910, 271, 269, 276, 454, 321, 5362, 815, 476, 271, 269, 1839, 692, 258, 667, 2177, 31415, 8863, 3198, 12283, 4888, 312, 8025, 5058, 645, 5085, 8582, 454, 258, 18452, 338, 543, 17016, 454, 11687, 17750, 338, 815, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 630, 272, 267, 476, 271, 1070, 630, 272, 267, 476, 272, 22708, 322, 8091, 318, 16059, 338, 815, 1496, 12148, 267, 8771, 267, 6936, 267, 8771, 2639, 16059, 338, 815, 29129, 258, 2637, 4733, 543, 2638, 3977, 454, 1721, 1449, 17750, 267, 2953, 318, 16059, 538, 23407, 6025, 652, 17750, 338, 267, 2953, 318, 16059, 338, 2187, 825, 5276, 318, 18474, 1588, 815, 2597, 272, 2608, 1449, 17750, 314, 271, 316, 1341, 2597, 273, 2608, 1449, 17750, 314, 272, 316, 1341, 9186, 454, 825, 3977, 815, 703, 263, 15035, 318, 18474, 1588, 13843, 476, 271, 994, 825, 568, 6831, 8091, 23952, 815, 1412, 8133, 262, 952, 3977, 2652, 2953, 318, 16059, 3116, 1412, 5591, 7055, 825, 17016, 6910, 8443, 11687, 17750, 314, 271, 3910, 1449, 17750, 314, 272, 3910, 5276, 318, 18474, 1588, 267, 3977, 267, 568, 6831, 8091, 23952, 20285, 258, 7179, 3977, 454, 11133, 16062, 3994, 815, 7003, 8443, 16059, 314, 275, 316, 585, 3977, 538, 17016, 952, 3977, 314, 275, 316, 2652, 1412, 5591, 262, 7481, 16059, 6958, 9347, 815, 19073, 6185, 1092, 20988, 263, 16059, 338, 267, 9587, 284, 9131, 19152, 476, 272, 3299, 1412, 476, 18452, 476, 273, 3299, 1412, 476, 12430, 10395, 1588, 3299, 1412, 476, 2920, 10474, 19243, 3299, 1412, 476, 1772, 22043, 262, 7481, 604, 711, 1003, 16062, 3994, 912, 825, 1820, 3488, 301, 823, 256, 476, 1411, 3893, 621, 782, 2953, 26142, 333, 5073, 12828, 912, 825, 1820, 3488, 2791, 3893, 15079, 4636, 269, 476, 5901, 3843, 256, 315, 333, 8339, 8971, 16325, 16062, 3994, 4917, 2745, 263, 16059, 6958, 9347, 30419, 23952, 263, 8161, 25716, 11723, 12163, 311, 3036, 8226, 281, 3340, 513, 3818, 4494, 8849, 3060, 692, 343, 272, 9847, 715, 13263, 630, 13263, 9847, 10691, 994, 4449, 16875, 9847, 6730, 9847, 2473, 3036, 454, 343, 273, 9847, 10758, 692, 20701, 12163, 25807, 4753, 8976, 305, 2177, 13138, 27912, 692, 1103, 1483, 1272, 267, 1498, 267, 649, 666, 1405, 581, 2679, 891, 829, 1061, 6425, 6000, 269, 3097, 763, 2856, 568, 602, 649, 2285, 873, 519, 1267, 267, 543, 789, 1628, 2933, 780, 1842, 13843, 476, 271, 815, 476, 274, 343, 272, 266, 476, 275, 343, 273, 910, 476, 1015, 692, 13052, 21283, 4041, 692, 274, 343, 272, 266, 476, 275, 343, 273, 910, 476, 1015, 815, 476, 271, 454, 288, 263, 275, 267, 276, 264, 910, 2097, 6251, 256, 1341, 272, 585, 9186, 1770, 454, 284, 476, 274, 268, 275, 1341, 476, 275, 268, 276, 910, 1015, 266, 272, 815, 476, 910, 272, 910, 272, 910, 476, 280, 3097, 14048, 2557, 815, 476, 271, 269, 272, 267, 865, 10208, 2094, 1657, 519, 1899, 454, 284, 476, 274, 268, 271, 269, 275, 1341, 476, 275, 268, 271, 269, 276, 910, 1015, 268, 271, 269, 272, 815, 476, 476, 273, 269, 277, 1341, 274, 269, 276, 910, 1015, 269, 272, 4534, 713, 1899, 568, 2965, 6251, 547, 589, 692, 289, 263, 272, 267, 272, 994, 14048, 2557, 476, 271, 269, 272, 267, 865, 1039, 2094, 2630, 519, 1899, 454, 284, 476, 274, 269, 272, 343, 272, 1341, 476, 275, 269, 272, 343, 273, 910, 476, 280, 269, 280, 692, 27309, 3582, 692, 268, 476, 274, 343, 272, 266, 476, 275, 343, 273, 910, 476, 1015, 815, 476, 271, 454, 268, 1565, 2557, 476, 271, 269, 272, 454, 268, 875, 1082, 2053, 547, 4019, 1565, 2557, 547, 1118, 476, 272, 267, 272, 7157, 9286, 692, 22372, 6060, 815, 476, 274, 266, 275, 268, 1015, 815, 910, 274, 692, 604, 594, 798, 621, 476, 272, 454, 274, 269, 272, 1341, 476, 275, 269, 272, 910, 280, 269, 280, 815, 910, 273, 269, 278, 692, 604, 594, 798, 621, 476, 273, 454, 274, 269, 272, 1341, 476, 275, 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 ]
[ 15444, 269, 7261, 339, 727, 6549, 21552, 21853, 1356, 269, 5246, 32536, 565, 476, 1220, 275, 282, 9610, 281, 15686, 280, 563, 268, 10557, 808, 312, 25286, 269, 7261, 339, 727, 6549, 21552, 25124, 12833, 6295, 519, 16164, 538, 16332, 665, 20234, 668, 2213, 21118, 338, 281, 589, 18669, 13771, 11043, 5530, 269, 1977, 4750, 540, 11916, 11202, 1108, 476, 2735, 280, 282, 10844, 281, 9834, 268, 1911, 563, 268, 15776, 615, 808, 299, 269, 7261, 339, 727, 6549, 21552, 5563, 543, 519, 2960, 269, 4750, 540, 519, 1977, 9142, 540, 32536, 1108, 476, 2735, 279, 282, 1240, 281, 15836, 274, 268, 279, 563, 268, 2725, 14636, 808, 291, 269, 10644, 543, 9615, 540, 7261, 339, 727, 6549, 21552, 25124, 269, 16316, 5623, 540, 6925, 476, 1960, 272, 282, 5655, 281, 9692, 268, 9262, 563, 268, 715, 770, 537, 2993, 661, 267, 2961, 1503, 661, 267, 5689, 821, 631, 267, 681, 328, 14493, 589, 267, 10370, 718, 670, 269, 674, 7614, 1277, 328, 7514, 6776, 7139, 11717, 894, 4713, 538, 17328, 8824, 7486, 3968, 609, 11118, 727, 6549, 21552, 1439, 268, 6716, 2068, 269, 3703, 4750, 540, 12794, 14670, 1108, 476, 1220, 280, 282, 16409, 281, 276, 3199, 268, 273, 563, 268, 8303, 518, 681, 297, 269, 2876, 10999, 1808, 2960, 15087, 538, 22412, 730, 11118, 727, 6549, 21552, 3968, 269, 4750, 540, 519, 1977, 9142, 540, 32536, 1108, 476, 2735, 274, 282, 280, 281, 280, 4391, 268, 5379, 563, 268, 681, 13704, 18074, 269, 3778, 540, 519, 7261, 339, 727, 6549, 21552, 269, 8828, 6481, 4750, 476, 1960, 278, 282, 3445, 281, 7277, 268, 3445, 563, 268, 590, 807, 30312, 267, 4793, 601, 681, 269, 1715, 11150, 585, 10644, 543, 10657, 540, 7261, 339, 727, 6549, 21552, 25124, 543, 8376, 538, 20348, 268, 16391, 3690, 8690, 5589, 760, 1801, 269, 11916, 31814, 17352, 476, 1220, 271, 282, 1724, 281, 10695, 268, 13199, 563, 268, 1733, 1856, 344, 681, 297, 267, 13192, 717, 267, 30421, 828, 654, 267, 1696, 620, 269, 717, 4545, 545, 21754, 597, 9615, 540, 6641, 24840, 5556, 523, 1388, 7261, 339, 727, 6549, 21552, 25124, 281, 11778, 540, 513, 18001, 4083, 5530, 269, 634, 4750, 540, 29956, 15302, 476, 1960, 278, 282, 11260, 281, 10482, 271, 268, 277, 269, 0, 2704, 15728, 21321, 560, 4168, 12138, 18018, 28086, 729, 606, 9565, 4436, 1870, 2006, 543, 22267, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4375, 2008, 2704, 15728, 21321, 560, 4168, 12138, 18018, 28086, 729, 606, 9565, 4436, 1870, 2006, 543, 22267, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4375, 2008, 2304, 1271, 4137, 538, 28929, 6214, 538, 5125, 585, 519, 1101, 1906, 5756, 540, 519, 14206, 2540, 267, 21238, 18018, 28086, 2968, 519, 2197, 781, 3056, 2923, 32388, 528, 1282, 519, 954, 8705, 1974, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 25953, 2008, 30952, 538, 476, 6245, 272, 267, 21238, 18018, 28086, 1071, 1922, 15903, 267, 2059, 609, 20913, 22642, 267, 519, 16600, 5991, 1049, 626, 4937, 4436, 13477, 267, 543, 538, 476, 6245, 275, 922, 24288, 3350, 267, 519, 7754, 8566, 9007, 13477, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 273, 2008, 2704, 15728, 18018, 28086, 17947, 4317, 16817, 1143, 538, 1010, 6107, 267, 543, 2429, 1010, 1272, 519, 16809, 540, 4317, 16817, 1143, 543, 519, 9097, 18541, 540, 519, 7754, 8566, 9007, 13477, 11461, 1010, 3527, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 274, 2008, 306, 517, 540, 606, 5580, 2173, 1497, 11665, 1920, 267, 21238, 18018, 28086, 7620, 759, 5034, 519, 282, 855, 267, 936, 942, 267, 646, 3357, 547, 3398, 519, 2856, 540, 834, 10623, 644, 531, 11897, 12009, 1852, 540, 5125, 2580, 18468, 538, 606, 19710, 540, 543, 4853, 1235, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4510, 2008, 2704, 15728, 18018, 28086, 729, 9244, 4550, 6261, 565, 880, 267, 543, 22309, 519, 2398, 11701, 2229, 585, 922, 834, 514, 1228, 12930, 257, 14470, 4507, 267, 7957, 1681, 513, 811, 24526, 3609, 540, 4436, 1436, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 3393, 2008, 2704, 15728, 18018, 28086, 7620, 3576, 513, 1909, 1418, 2358, 6694, 7239, 1354, 10024, 519, 3540, 3028, 538, 519, 2398, 11701, 12080, 540, 16010, 538, 476, 5002, 274, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 277, 2008, 26139, 267, 21238, 18018, 28086, 3357, 883, 4655, 609, 1010, 2706, 12542, 267, 945, 10353, 1010, 4566, 547, 1476, 4593, 622, 782, 519, 1875, 1790, 8793, 1609, 919, 540, 519, 538, 1931, 547, 7017, 7366, 540, 5215, 540, 6803, 16586, 267, 945, 1131, 1831, 1010, 4998, 1242, 16027, 23337, 718, 1870, 5443, 543, 834, 23389, 1125, 257, 519, 5101, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 278, 2008, 2704, 15728, 18018, 28086, 13604, 2451, 519, 1857, 5823, 547, 11654, 513, 4876, 538, 1870, 267, 543, 538, 476, 5002, 280, 646, 729, 12912, 28579, 540, 519, 19217, 800, 4604, 540, 918, 745, 653, 13082, 267, 543, 3710, 909, 513, 2673, 2123, 543, 2797, 2078, 609, 31578, 29775, 822, 918, 745, 653, 13153, 645, 2129, 6352, 3768, 16199, 22138, 267, 519, 16628, 540, 918, 745, 653, 17985, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4366, 2008, 2704, 15728, 18018, 28086, 1705, 711, 29343, 540, 2901, 9769, 543, 3079, 23032, 513, 834, 344, 3641, 257, 9769, 8204, 519, 2359, 267, 1818, 1010, 26022, 513, 942, 540, 11995, 13882, 609, 519, 4600, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 280, 2008, 4263, 519, 16008, 267, 21238, 18018, 28086, 26916, 519, 918, 9820, 518, 538, 1010, 10343, 4633, 267, 543, 4682, 593, 547, 2161, 602, 9111, 1131, 711, 2087, 519, 2783, 540, 519, 4436, 2324, 1362, 267, 855, 1152, 513, 834, 854, 1454, 21950, 267, 1360, 1454, 3152, 543, 1360, 1454, 3532, 5125, 257, 1131, 4194, 922, 2042, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 20981, 2008, 1103, 476, 4489, 275, 267, 21238, 18018, 28086, 20888, 519, 12614, 540, 519, 3689, 2622, 2782, 267, 543, 759, 25390, 1010, 960, 609, 1010, 2673, 3659, 26081, 5341, 4147, 540, 519, 7754, 8566, 9007, 13477, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 272, 2008, 1103, 476, 4489, 276, 267, 21238, 18018, 28086, 3370, 513, 751, 5586, 1090, 547, 4147, 538, 519, 2012, 540, 519, 8087, 20830, 540, 16450, 540, 519, 681, 7795, 337, 267, 14053, 602, 30247, 4083, 14962, 21861, 10458, 670, 3326, 933, 326, 543, 952, 519, 918, 9820, 518, 729, 31464, 267, 602, 519, 4108, 1058, 1244, 846, 21861, 10458, 670, 3326, 933, 326, 267, 17548, 602, 952, 519, 25415, 8959, 547, 3035, 519, 24509, 566, 626, 3760, 2899, 519, 2112, 729, 4465, 602, 621, 1131, 2014, 513, 4838, 689, 519, 1318, 602, 1131, 1439, 519, 21257, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 273, 2008, 2704, 15728, 18018, 28086, 729, 31205, 19443, 676, 519, 1533, 538, 1010, 3646, 547, 1628, 513, 2923, 10504, 267, 782, 519, 811, 865, 607, 519, 1533, 1253, 27434, 519, 12666, 14786, 11262, 676, 519, 772, 961, 7322, 14552, 543, 676, 23052, 6504, 17018, 572, 267, 782, 540, 7247, 941, 6014, 267, 3056, 519, 1533, 547, 7662, 602, 513, 5858, 540, 834, 6312, 686, 5328, 257, 1870, 5443, 547, 22937, 21238, 18018, 28086, 519, 2556, 7482, 547, 4444, 909, 14786, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 274, 2008, 1103, 9140, 519, 2480, 615, 331, 18294, 267, 21238, 18018, 28086, 9715, 519, 12670, 11356, 267, 799, 2968, 519, 17514, 1222, 1957, 540, 1010, 2923, 10504, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 275, 2008, 2704, 15728, 18018, 28086, 23699, 519, 9746, 1876, 267, 799, 646, 6785, 865, 1134, 267, 543, 1031, 1010, 1378, 2883, 1035, 18210, 267, 799, 1185, 865, 29656, 2919, 267, 547, 5150, 1010, 10504, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4649, 2008, 2704, 15728, 18018, 28086, 6785, 519, 3652, 540, 519, 3014, 543, 26203, 873, 547, 2407, 5413, 8487, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 277, 2008, 1103, 476, 4489, 279, 267, 1310, 519, 15521, 540, 645, 6135, 6441, 527, 990, 12921, 267, 18018, 28086, 8547, 1079, 14078, 267, 519, 8092, 2471, 20635, 577, 10762, 27956, 1633, 544, 536, 670, 543, 3026, 592, 663, 17985, 267, 799, 1185, 513, 5916, 6578, 540, 476, 4391, 2929, 7436, 267, 547, 3715, 1071, 268, 10869, 7482, 602, 1131, 1118, 12029, 547, 519, 7366, 540, 5215, 540, 4436, 6705, 602, 646, 4397, 547, 4166, 581, 12306, 538, 8109, 2342, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 278, 2008, 2704, 15728, 18018, 28086, 7283, 693, 918, 745, 653, 2394, 476, 4489, 279, 267, 950, 646, 1305, 856, 547, 1628, 1010, 1378, 1870, 267, 543, 1282, 519, 4279, 12870, 646, 729, 2111, 547, 4444, 909, 19421, 540, 2199, 14786, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 279, 2008, 2704, 15728, 18018, 28086, 781, 2810, 9525, 538, 7754, 8566, 9007, 543, 24509, 566, 626, 3123, 1927, 609, 1010, 1719, 538, 2679, 513, 2923, 10504, 3361, 1864, 547, 8977, 689, 918, 745, 653, 267, 799, 646, 1336, 547, 581, 513, 30411, 689, 1018, 2731, 5461, 1864, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 280, 2008, 2704, 15728, 18018, 28086, 729, 2141, 18617, 602, 5125, 1131, 9156, 689, 519, 14710, 540, 476, 4489, 279, 267, 782, 519, 811, 865, 607, 646, 5156, 519, 4436, 4108, 1185, 711, 2965, 1044, 17204, 538, 476, 4489, 279, 282, 538, 1010, 21169, 267, 1317, 621, 729, 519, 834, 560, 629, 2987, 7308, 25746, 257, 602, 3361, 519, 14710, 267, 782, 602, 729, 2556, 729, 8806, 547, 4894, 519, 834, 10177, 6002, 257, 689, 519, 6429, 538, 1931, 547, 3094, 519, 1985, 1158, 2112, 602, 646, 4397, 547, 2049, 28069, 538, 519, 2282, 1922, 1956, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 32133, 2008, 2704, 15728, 18018, 28086, 729, 835, 540, 513, 1297, 540, 7754, 16586, 547, 1831, 3238, 538, 519, 2817, 27565, 9549, 538, 519, 2196, 909, 547, 519, 3689, 2622, 2782, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 272, 2008, 1103, 476, 4489, 280, 21238, 18018, 28086, 4553, 1034, 540, 519, 12429, 1633, 9549, 883, 519, 4436, 2817, 4658, 781, 9549, 267, 799, 646, 6719, 538, 519, 2817, 13909, 630, 7474, 3812, 519, 476, 4489, 280, 11156, 540, 519, 1284, 31483, 6243, 1916, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 273, 2008, 2704, 15728, 18018, 28086, 729, 11221, 547, 519, 538, 519, 476, 4572, 271, 12836, 547, 519, 1007, 1560, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 274, 2008, 4462, 762, 547, 1265, 2318, 3853, 602, 941, 5827, 540, 8066, 519, 667, 309, 23259, 1927, 267, 1577, 4805, 540, 2870, 519, 4990, 540, 3084, 9322, 602, 646, 4941, 267, 21238, 18018, 28086, 3357, 547, 5581, 1010, 538, 2942, 2474, 676, 5275, 547, 1265, 834, 523, 12562, 257, 547, 1683, 513, 9322, 538, 23998, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 5038, 2008, 1103, 476, 4572, 271, 267, 21238, 18018, 28086, 8547, 513, 17069, 626, 9184, 331, 1355, 267, 519, 267, 799, 2968, 1010, 1034, 19311, 11356, 267, 2348, 513, 3232, 10009, 540, 476, 21327, 476, 1822, 676, 476, 4572, 280, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4792, 2008, 2704, 15728, 18018, 28086, 1185, 8547, 519, 570, 308, 547, 14526, 609, 519, 1855, 25393, 13163, 1739, 20286, 689, 4436, 11122, 2510, 540, 834, 12221, 1968, 9186, 257, 693, 519, 26728, 742, 24804, 1855, 25393, 13163, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 26116, 2008, 2704, 15728, 18018, 28086, 8547, 513, 1589, 339, 1678, 267, 519, 547, 3895, 1010, 2093, 1247, 2713, 513, 29660, 268, 30658, 7095, 6197, 693, 1010, 10040, 693, 30323, 3630, 5287, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 278, 2008, 1103, 476, 4572, 273, 267, 1927, 609, 519, 4853, 626, 2506, 559, 918, 2273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 1948, 567, 3897, 1549, 568, 476, 1015, 454, 1038, 1948, 567, 3977, 568, 519, 5276, 318, 16059, 540, 519, 6456, 4494, 25341, 529, 513, 4396, 1297, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 3897, 1549, 2187, 2018, 12297, 26574, 5157, 316, 815, 3403, 5157, 316, 2608, 590, 31451, 263, 16059, 314, 26383, 8079, 2608, 630, 272, 269, 271, 910, 590, 31451, 263, 16059, 314, 26383, 28413, 1038, 2132, 12297, 26574, 454, 825, 952, 2415, 2652, 1412, 321, 5362, 12466, 1038, 12297, 306, 31451, 289, 5362, 815, 590, 31451, 263, 16059, 314, 26383, 8079, 2608, 630, 272, 269, 271, 910, 630, 306, 31451, 263, 16059, 314, 26383, 316, 21875, 1038, 2132, 12297, 306, 31451, 289, 5362, 692, 3698, 9941, 16655, 32056, 10216, 633, 263, 7076, 267, 2571, 16655, 267, 3897, 1549, 267, 6241, 267, 2415, 815, 1412, 30135, 262, 2187, 1038, 1948, 552, 11859, 269, 912, 1038, 1948, 594, 993, 2469, 547, 1265, 519, 12297, 540, 519, 9186, 314, 271, 316, 630, 1492, 1101, 2165, 540, 519, 9186, 2676, 1038, 1948, 952, 2571, 16655, 1267, 568, 281, 314, 271, 269, 272, 267, 271, 269, 273, 267, 271, 269, 274, 267, 271, 269, 273, 267, 271, 269, 273, 316, 12467, 1038, 1948, 543, 519, 12045, 540, 519, 2034, 6221, 538, 519, 2571, 10946, 1267, 568, 1114, 609, 519, 1101, 6221, 454, 1038, 1948, 476, 2411, 19203, 11004, 568, 4986, 547, 798, 609, 519, 6003, 2411, 454, 1038, 1948, 1488, 7714, 912, 2018, 1948, 3403, 281, 519, 1267, 1310, 2571, 16655, 1184, 454, 2018, 1948, 3897, 1549, 281, 2040, 540, 519, 9587, 454, 2018, 1948, 6003, 281, 519, 6003, 540, 519, 1699, 6152, 267, 538, 2143, 267, 519, 6003, 1797, 799, 3897, 1549, 1058, 581, 519, 26228, 454, 825, 952, 2415, 2652, 1412, 343, 12466, 1038, 1948, 2597, 5119, 568, 519, 12035, 318, 273, 454, 1038, 1948, 3897, 1549, 568, 631, 1934, 454, 1038, 12297, 6358, 815, 5286, 25910, 9230, 300, 267, 476, 272, 4917, 1038, 585, 795, 538, 2039, 263, 271, 267, 631, 2187, 2018, 12297, 6358, 14728, 316, 815, 2597, 314, 26383, 267, 795, 316, 2608, 2571, 16655, 14728, 2639, 2018, 585, 737, 538, 2039, 263, 271, 267, 631, 2187, 3546, 12297, 6358, 14728, 316, 6834, 2597, 314, 26383, 267, 737, 316, 2608, 2571, 16655, 25208, 316, 2608, 2571, 16655, 14728, 2639, 1038, 2132, 12297, 6358, 692, 825, 8640, 2415, 2652, 1412, 30135, 12466, 1038, 1948, 5173, 585, 835, 6241, 540, 519, 2597, 5119, 454, 1038, 12297, 26574, 815, 5286, 25910, 9230, 323, 574, 1549, 267, 476, 272, 4917, 1038, 585, 1775, 538, 2039, 263, 271, 267, 3897, 1549, 2187, 2018, 952, 6241, 2652, 1775, 281, 476, 1948, 519, 6241, 3768, 730, 568, 4010, 519, 2530, 835, 454, 3546, 12297, 26574, 5157, 316, 815, 2571, 16655, 5157, 316, 2608, 630, 272, 910, 2571, 16655, 5157, 7481, 2018, 952, 6241, 11203, 1775, 281, 476, 1948, 519, 824, 9587, 454, 3546, 12297, 26574, 5157, 316, 815, 910, 272, 2608, 2571, 16655, 5157, 316, 2608, 2571, 16655, 314, 26383, 2639, 1038, 2132, 12297, 26574, 692, 825, 8640, 2415, 2652, 1412, 321, 5362, 12466, 1038, 12297, 289, 5362, 815, 5286, 25910, 9230, 300, 267, 476, 272, 4917, 1038, 585, 1775, 538, 2039, 263, 271, 267, 631, 2187, 2018, 952, 1775, 2652, 6241, 912, 3546, 12297, 289, 5362, 5157, 316, 815, 2571, 16655, 5157, 316, 2608, 630, 272, 910, 2571, 16655, 5157, 7481, 2018, 3116, 912, 3546, 12297, 289, 5362, 5157, 316, 815, 910, 272, 2608, 2571, 16655, 5157, 316, 2608, 2571, 16655, 314, 26383, 2639, 1038, 2132, 12297, 289, 5362, 19638, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 1384, 825, 1948, 5352, 519, 3355, 10321, 267, 609, 476, 276, 6688, 630, 18528, 5166, 1611, 994, 825, 9074, 318, 272, 815, 2612, 18828, 20179, 20120, 333, 263, 1911, 271, 267, 476, 273, 4917, 825, 9074, 318, 273, 815, 2612, 18828, 20179, 20120, 333, 263, 1911, 271, 267, 476, 273, 264, 1341, 476, 276, 994, 825, 6152, 318, 272, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 273, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 4917, 825, 6152, 318, 273, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 273, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 4917, 825, 6152, 318, 274, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 273, 267, 9074, 318, 272, 267, 9074, 318, 272, 4917, 825, 6152, 318, 275, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 273, 267, 9074, 318, 272, 4917, 825, 6152, 318, 276, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 273, 4917, 825, 1948, 6152, 318, 274, 815, 5286, 269, 31412, 263, 11274, 18828, 20179, 20120, 333, 263, 1911, 876, 264, 1341, 476, 279, 1070, 630, 1911, 271, 267, 476, 1015, 4917, 825, 1948, 6152, 318, 275, 815, 5286, 269, 31412, 263, 11274, 18828, 20179, 20120, 333, 263, 1911, 876, 264, 1341, 476, 1321, 1070, 630, 1911, 271, 267, 476, 1015, 4917, 825, 1948, 6152, 318, 276, 815, 5286, 269, 31412, 263, 11274, 18828, 20179, 20120, 333, 263, 1911, 876, 264, 1341, 476, 1626, 1070, 630, 1911, 271, 267, 476, 1015, 4917, 825, 6152, 815, 5286, 269, 992, 14067, 871, 9230, 19066, 318, 272, 267, 6152, 318, 273, 267, 6152, 318, 274, 267, 6152, 318, 275, 267, 6152, 318, 276, 4917, 825, 1948, 5352, 519, 10297, 912, 825, 6003, 318, 272, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 272, 994, 825, 6003, 318, 273, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 273, 994, 825, 6003, 318, 274, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 274, 994, 825, 6003, 318, 275, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 275, 994, 825, 6003, 318, 276, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 276, 994, 825, 6003, 815, 5286, 269, 992, 14067, 871, 9230, 16932, 318, 272, 267, 6003, 318, 273, 267, 6003, 318, 274, 267, 6003, 318, 275, 267, 6003, 318, 276, 4917, 825, 6152, 318, 2908, 815, 5286, 19544, 23637, 9230, 19066, 267, 6003, 4917, 825, 6152, 17601, 815, 5286, 25910, 9230, 4335, 271, 267, 476, 1556, 4917, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 1911, 271, 2187, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 276, 2187, 2018, 6152, 17601, 5157, 265, 276, 1341, 795, 316, 815, 6152, 318, 2908, 5157, 266, 1911, 271, 265, 329, 6540, 454, 825, 1948, 538, 807, 559, 1125, 519, 12035, 5119, 543, 9186, 585, 519, 1101, 543, 2034, 4494, 540, 519, 4888, 301, 454, 825, 918, 815, 476, 1015, 476, 1948, 1101, 9078, 9707, 318, 928, 584, 517, 20311, 454, 825, 700, 815, 476, 1321, 476, 1948, 1101, 9078, 9707, 318, 928, 584, 517, 20311, 454, 825, 631, 815, 476, 276, 567, 1948, 1101, 9078, 9707, 318, 928, 584, 517, 20311, 454, 825, 12035, 318, 272, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 263, 298, 267, 700, 4917, 825, 9186, 318, 272, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 263, 272, 267, 700, 4917, 825, 12035, 318, 273, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 27331, 267, 631, 4917, 825, 9186, 318, 273, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 263, 272, 267, 631, 11723, 825, 1948, 12035, 318, 272, 815, 5286, 25910, 9230, 298, 267, 700, 4297, 476, 1948, 585, 519, 2597, 5119, 267, 1142, 6241, 568, 513, 29976, 585, 513, 1978, 7121, 454, 825, 1948, 9186, 318, 272, 815, 5286, 25910, 9230, 272, 267, 700, 4917, 825, 1948, 12035, 318, 273, 815, 5286, 25910, 9230, 299, 267, 631, 4917, 825, 1948, 9186, 318, 273, 815, 5286, 25910, 9230, 272, 267, 631, 11723, 825, 1948, 4259, 519, 5409, 268, 12407, 4394, 454, 825, 2450, 14067, 788, 815, 476, 271, 269, 4905, 454, 825, 22184, 815, 476, 273, 454, 825, 2530, 8217, 815, 11713, 825, 585, 795, 538, 2039, 263, 271, 267, 22184, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 476, 4335, 271, 2187, 2018, 1948, 3355, 1125, 1098, 5119, 454, 2018, 1948, 5276, 318, 16059, 318, 272, 815, 5286, 25910, 9230, 272, 267, 700, 4917, 2018, 1948, 1875, 318, 15035, 318, 16059, 318, 272, 815, 5286, 25910, 9230, 272, 267, 700, 4917, 2018, 1948, 5276, 318, 16059, 318, 273, 815, 5286, 25910, 9230, 272, 267, 631, 4917, 2018, 1948, 1875, 318, 15035, 318, 16059, 318, 273, 815, 5286, 25910, 9230, 272, 267, 631, 4917, 1038, 1948, 3355, 519, 554, 16582, 4494, 540, 519, 4888, 301, 454, 1038, 1948, 1362, 26571, 912, 2018, 1948, 630, 30135, 267, 9186, 267, 3403, 994, 2018, 6456, 9078, 9707, 815, 4494, 263, 30135, 318, 272, 267, 9186, 318, 272, 267, 5286, 269, 31412, 263, 19066, 17601, 5157, 267, 476, 271, 281, 1015, 3910, 630, 272, 267, 918, 21875, 2018, 5276, 318, 16059, 318, 272, 815, 6456, 9078, 9707, 27904, 4590, 2018, 1875, 318, 15035, 318, 16059, 318, 272, 815, 590, 31451, 263, 15035, 318, 16059, 318, 272, 994, 1038, 1948, 4464, 547, 519, 3977, 4494, 454, 1038, 1948, 3355, 519, 3977, 4494, 540, 519, 4888, 301, 454, 2018, 3977, 9078, 9707, 815, 4494, 263, 30135, 318, 273, 267, 9186, 318, 273, 267, 1875, 318, 15035, 318, 16059, 318, 272, 994, 2018, 5276, 318, 16059, 318, 273, 815, 3977, 9078, 9707, 27904, 4590, 2018, 1163, 318, 16059, 318, 273, 815, 5286, 269, 10339, 263, 15035, 318, 16059, 318, 273, 994, 2018, 1875, 318, 15035, 318, 16059, 318, 273, 815, 9941, 16655, 263, 10339, 318, 16059, 318, 273, 2020, 1038, 1948, 9096, 519, 4464, 1184, 267, 543, 5173, 519, 2530, 6060, 454, 2018, 2530, 5334, 13990, 815, 9061, 22209, 16552, 18828, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 24270, 703, 263, 19066, 17601, 5157, 267, 476, 1015, 316, 268, 272, 1070, 476, 276, 994, 2018, 2530, 8217, 6910, 263, 15615, 10857, 1601, 5334, 13990, 4297, 476, 1948, 585, 519, 21267, 454, 2018, 1948, 1820, 3488, 1492, 1297, 568, 3299, 1775, 1341, 476, 4335, 271, 265, 329, 2073, 262, 513, 557, 518, 720, 2530, 568, 1631, 281, 3299, 2530, 5334, 13990, 264, 476, 1948, 1449, 25341, 22772, 602, 1472, 476, 271, 269, 273, 568, 2953, 692, 1038, 1948, 1210, 590, 31270, 4393, 262, 734, 285, 10177, 1456, 1184, 454, 1038, 1948, 454, 1038, 1948, 9337, 519, 6724, 585, 519, 3977, 4494, 912, 2018, 12297, 289, 5362, 273, 815, 5286, 25910, 9230, 300, 267, 476, 272, 4917, 2018, 585, 6241, 538, 2039, 263, 271, 267, 631, 2187, 3546, 1948, 9941, 16655, 32056, 29719, 263, 7076, 267, 2571, 16655, 267, 10155, 267, 6241, 267, 2415, 8782, 30135, 262, 2187, 3546, 1948, 9061, 22209, 16552, 32056, 29719, 9272, 267, 2571, 16655, 291, 582, 28504, 574, 3290, 267, 2571, 16655, 267, 6003, 267, 2415, 815, 1412, 30135, 262, 2187, 3546, 12297, 25413, 7246, 343, 26574, 273, 815, 9941, 16655, 32056, 10216, 633, 263, 30135, 318, 273, 267, 5286, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 4449, 672, 631, 267, 6241, 994, 3546, 12297, 25413, 16655, 289, 5362, 273, 815, 9941, 16655, 32056, 10216, 633, 263, 30135, 318, 273, 267, 5286, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 4449, 672, 631, 267, 6241, 267, 2415, 8782, 321, 5362, 17210, 3546, 12297, 26574, 273, 815, 9061, 22209, 16552, 32056, 29719, 18828, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 272, 267, 630, 299, 267, 476, 272, 264, 13211, 14030, 7386, 5286, 269, 31412, 5560, 582, 25413, 7246, 343, 26574, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 7386, 5286, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 7386, 703, 263, 19066, 17601, 5157, 267, 476, 1015, 8079, 268, 272, 994, 3546, 12297, 289, 5362, 273, 314, 26383, 316, 815, 9061 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 518, 7089, 476, 3953, 268, 5325, 8094, 15812, 518, 3126, 269, 901, 15262, 568, 3769, 538, 519, 11882, 8466, 5980, 1315, 634, 11882, 3778, 17583, 15262, 3126, 563, 19613, 269, 476, 6078, 4113, 476, 2764, 269, 4366, 12664, 715, 267, 476, 11025, 4113, 476, 1015, 269, 277, 3607, 12664, 654, 269, 4460, 518, 568, 538, 31240, 664, 267, 11882, 267, 538, 31240, 664, 6019, 269, 4460, 518, 568, 593, 20463, 728, 8092, 532, 779, 631, 850, 7043, 623, 1512, 779, 18736, 2603, 5087, 540, 20463, 728, 22971, 543, 12548, 22971, 267, 593, 519, 2451, 950, 10707, 5087, 269, 898, 568, 2066, 689, 674, 667, 1442, 269, 25291, 585, 4786, 269, 4460, 518, 568, 538, 713, 2022, 5604, 1858, 281, 31240, 664, 27846, 476, 24496, 7367, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 616, 1369, 476, 273, 5195, 540, 713, 15262, 267, 6027, 607, 5853, 532, 540, 31240, 664, 267, 11882, 630, 13627, 269, 476, 26528, 13304, 2476, 5148, 29665, 5403, 630, 13627, 269, 476, 26528, 13304, 2476, 5148, 31240, 664, 13749, 476, 1911, 630, 13627, 269, 476, 271, 269, 275, 5195, 2476, 5148, 634, 31240, 664, 570, 1941, 5964, 267, 476, 4572, 275, 630, 13627, 269, 3368, 513, 13304, 2476, 5148, 26676, 20761, 630, 13627, 269, 476, 271, 269, 277, 5195, 2476, 5148, 8235, 1613, 5244, 2782, 17341, 630, 13627, 269, 476, 272, 269, 274, 5195, 2476, 5148, 2372, 514, 1097, 589, 269, 28711, 3467, 630, 13627, 269, 476, 272, 269, 274, 5195, 2476, 5148, 4937, 2372, 514, 1097, 17566, 28711, 3467, 630, 13627, 269, 476, 272, 269, 274, 5195, 2476, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 31240, 664, 563, 9827, 1294, 1547, 1547, 1547, 7300, 3758, 281, 634, 3778, 540, 519, 31240, 664, 700, 30224, 267, 476, 4489, 278, 1700, 1001, 278, 269, 476, 4391, 2985, 11609, 3561, 16432, 676, 4406, 24809, 8055, 543, 3370, 676, 519, 31240, 664, 5398, 7732, 3590, 269, 1401, 1356, 696, 912, 763, 7372, 267, 1614, 3613, 800, 561, 30224, 729, 2966, 547, 16641, 519, 10917, 652, 6681, 4365, 540, 8235, 661, 4471, 269, 3245, 519, 22583, 7944, 540, 519, 2497, 267, 513, 4009, 13486, 267, 547, 5529, 676, 513, 26816, 1181, 4055, 267, 11498, 1175, 1657, 519, 8486, 3481, 8122, 269, 634, 25810, 540, 519, 561, 30224, 3568, 513, 28250, 1181, 267, 5755, 10822, 267, 543, 4859, 2230, 269, 589, 12227, 4055, 267, 19880, 267, 543, 1907, 4055, 616, 4092, 593, 519, 1101, 6989, 269, 1323, 5604, 27473, 4055, 267, 7523, 2917, 630, 18145, 7770, 264, 609, 20562, 787, 267, 536, 6064, 3336, 543, 2011, 13688, 630, 1721, 519, 20893, 1817, 985, 264, 616, 4092, 593, 519, 2034, 6989, 269, 634, 3791, 6989, 3568, 519, 1019, 7469, 2158, 609, 513, 12557, 3926, 267, 22302, 2694, 9376, 518, 267, 20893, 1817, 333, 267, 476, 10384, 3766, 718, 517, 1216, 7382, 543, 24383, 3056, 547, 519, 26816, 1181, 4055, 269, 476, 729, 263, 8138, 4784, 593, 5412, 476, 277, 267, 476, 1001, 280, 8094, 290, 20975, 269, 3040, 4826, 1811, 1299, 26751, 17632, 3040, 454, 5415, 269, 9612, 519, 4950, 585, 31240, 664, 4639, 16505, 4248, 700, 30224, 1315, 30540, 519, 31240, 664, 700, 30224, 563, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 5412, 476, 277, 267, 476, 1001, 280, 269, 901, 2985, 8385, 11643, 593, 5412, 476, 277, 267, 476, 1001, 280, 267, 676, 808, 269, 808, 269, 2398, 1846, 540, 18120, 749, 267, 11882, 269, 901, 2985, 814, 1044, 9763, 476, 7906, 2053, 2094, 1287, 543, 476, 273, 2053, 713, 1032, 269, 16071, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 269, 11643, 593, 5412, 476, 277, 267, 476, 1001, 280, 267, 676, 808, 269, 808, 269, 2398, 1846, 540, 18120, 749, 267, 11882, 269, 0, 1103, 713, 29395, 267, 596, 786, 1265, 8847, 585, 4122, 1031, 2474, 1644, 547, 5491, 543, 7963, 269, 18833, 1018, 891, 2474, 1611, 786, 948, 596, 1118, 5483, 3664, 827, 707, 18083, 563, 10907, 5120, 566, 1849, 1021, 269, 589, 11865, 538, 513, 10211, 6876, 602, 2636, 513, 3841, 3218, 547, 3747, 8569, 538, 2407, 952, 596, 798, 711, 2743, 519, 2474, 540, 519, 6876, 563, 16914, 29471, 9314, 269, 9314, 602, 7213, 12885, 593, 513, 7963, 602, 596, 28297, 563, 25486, 783, 20587, 720, 15580, 630, 4338, 305, 1040, 634, 1942, 540, 5491, 267, 6829, 607, 513, 21496, 2557, 269, 634, 5313, 18266, 538, 700, 2056, 2920, 3340, 602, 782, 3091, 585, 5491, 5815, 519, 5491, 779, 6673, 305, 865, 602, 6800, 666, 1174, 519, 1942, 540, 519, 5491, 789, 616, 7311, 585, 543, 865, 789, 666, 5635, 5491, 3091, 563, 30761, 3019, 32237, 269, 589, 3803, 8569, 593, 513, 10211, 602, 568, 15186, 3677, 982, 3105, 11033, 563, 289, 1678, 4533, 1097, 269, 589, 3656, 5650, 18170, 676, 5313, 1876, 602, 2337, 6800, 945, 723, 1932, 1454, 7963, 269, 1403, 596, 3758, 585, 3848, 476, 1724, 267, 596, 786, 723, 1614, 547, 2947, 1296, 547, 2628, 1055, 707, 22440, 267, 543, 519, 3666, 540, 1018, 596, 28297, 593, 1978, 22440, 786, 581, 530, 21317, 856, 693, 519, 1439, 540, 602, 942, 269, 2368, 22440, 786, 2611, 269, 1403, 596, 3758, 585, 3848, 476, 1556, 267, 596, 786, 723, 547, 2285, 909, 1978, 7221, 865, 602, 789, 666, 581, 4421, 543, 519, 23131, 786, 581, 4294, 547, 707, 22440, 563, 290, 1662, 21992, 269, 22418, 5833, 689, 513, 5491, 3556, 563, 290, 1662, 10025, 269, 634, 9806, 6712, 540, 513, 2898, 1272, 267, 8471, 267, 610, 4756, 1272, 6142, 3609, 269, 1411, 666, 10210, 1996, 602, 1871, 563, 5141, 2216, 7232, 526, 15894, 269, 589, 10211, 602, 596, 1590, 23231, 676, 1818, 6378, 11033, 936, 513, 9138, 3267, 0, 16391, 665, 520, 4519, 3096, 1507, 5214, 6675, 15866, 7768, 540, 595, 267, 670, 267, 744, 267, 715, 267, 590, 543, 623, 547, 17108, 3114, 6547, 269, 634, 5383, 540, 1418, 665, 520, 3315, 7370, 1331, 741, 3668, 540, 8417, 547, 7509, 543, 5135, 267, 741, 4712, 8244, 267, 1970, 1942, 267, 543, 1970, 17219, 267, 799, 1476, 619, 513, 5458, 1463, 4324, 538, 519, 2504, 540, 14453, 10827, 919, 950, 3379, 609, 630, 10520, 819, 264, 4496, 27857, 563, 1103, 519, 1383, 540, 519, 12928, 4141, 1597, 698, 601, 9473, 18730, 267, 621, 568, 5156, 602, 14039, 704, 26593, 3029, 513, 19535, 708, 514, 1756, 9357, 13591, 609, 519, 3327, 2643, 7623, 912, 5194, 1418, 665, 520, 3315, 560, 568, 20336, 4338, 267, 799, 6411, 607, 606, 1035, 2643, 4483, 8665, 912, 1320, 27927, 565, 1756, 20919, 616, 11684, 579, 5404, 565, 2426, 556, 698, 757, 630, 2329, 331, 606, 542, 5973, 757, 1070, 585, 1383, 4466, 3498, 538, 519, 853, 21392, 31472, 912, 5472, 540, 891, 1418, 665, 520, 3315, 7370, 616, 2111, 547, 1106, 10151, 32128, 7554, 269, 4033, 27857, 666, 1106, 670, 1532, 4637, 267, 610, 4497, 538, 14039, 3613, 22326, 543, 9357, 6292, 4205, 630, 874, 848, 4483, 27857, 1040, 9697, 3315, 7370, 949, 581, 16887, 2966, 585, 513, 1808, 4305, 910, 585, 1383, 267, 14123, 679, 21468, 846, 29193, 24740, 563, 347, 2304, 2038, 1383, 540, 606, 679, 21468, 846, 29193, 853, 21392, 31472, 568, 3254, 2630, 281, 2433, 1475, 454, 16347, 7713, 519, 11132, 2824, 2032, 454, 5319, 21468, 846, 29193, 7812, 18827, 1210, 5123, 4483, 3032, 4519, 912, 763, 1101, 679, 21468, 846, 29193, 1418, 665, 520, 24608, 6547, 1185, 2907, 1044, 4330, 693, 519, 4098, 540, 519, 476, 736, 628, 2540, 267, 543, 930, 27314, 267, 16496, 6547, 971, 607, 519, 605, 1467, 2275, 520, 3315, 7458, 10282, 540, 1904, 1227, 3742, 32104, 9864, 3889, 676, 670, 1690, 657, 267, 623, 1551, 880, 267, 661, 1457, 267, 590, 21516, 543, 654, 773, 7815, 339, 1185, 1044, 4080, 538, 476, 3192, 272, 630, 313, 269, 717, 269, 670, 1690, 657, 267, 667, 269, 681, 269, 623, 1551, 880, 267, 808, 269, 2107, 326, 269, 6314, 269, 476, 3192, 275, 267, 476, 4375, 267, 476, 14065, 276, 282, 772, 269, 661, 1457, 267, 717, 269, 590, 21516, 267, 681, 269, 654, 773, 7815, 339, 267, 1323, 613, 342, 269, 6314, 269, 2271, 269, 3798, 269, 476, 3192, 272, 267, 476, 1015, 267, 476, 5392, 277, 267, 20396, 1040, 1717, 267, 519, 5912, 4496, 2861, 27857, 2919, 811, 5063, 723, 6537, 519, 17794, 779, 2671, 540, 3007, 563, 295, 1690, 657, 6261, 1551, 880, 7232, 1457, 4149, 21516, 8862, 773, 7815, 339, 5114, 630, 9987, 994, 763, 1101, 12326, 689, 519, 2516, 540, 5839, 27908, 534, 267, 5903, 267, 16862, 267, 543, 15243, 5459, 21490, 519, 1259, 538, 519, 1032, 476, 1960, 271, 269, 1452, 5359, 5189, 3810, 679, 21468, 846, 29193, 14759, 602, 15180, 539, 519, 4496, 2275, 520, 3315, 7458, 6547, 538, 1312, 11729, 543, 2824, 2032, 269, 4495, 713, 5748, 729, 9788, 267, 20387, 1719, 538, 1418, 665, 520, 4519, 729, 10630, 538, 513, 4028, 2333, 538, 12326, 593, 713, 1888, 689, 513, 3395, 1297, 540, 1382, 2516, 563, 3682, 1467, 23402, 7135, 723, 8810, 2933, 547, 581, 1483, 960, 1817, 572, 1418, 665, 520, 3315, 7370, 269, 1358, 723, 1044, 1031, 538, 513, 3099, 540, 3327, 2643, 7623, 14759, 267, 1141, 519, 3032, 4519, 568, 5156, 547, 4125, 519, 708, 514, 1756, 1106, 269, 1452, 27857, 616, 10464, 543, 11593, 3015, 912, 288, 2489, 4605, 540, 2487, 7835, 281, 966, 269, 667, 269, 645, 269, 12844, 604, 659, 1470, 267, 1160, 1467, 14216, 643, 2510, 538, 17667, 31349, 267, 2107, 326, 269, 6314, 269, 4400, 7547, 476, 1220, 278, 267, 4728, 476, 1839, 563, 20486, 593, 5029, 665, 520, 4519, 454, 2704, 3691, 19816, 7137, 7719, 1088, 267, 4498, 12245, 6182, 7238, 3455, 454, 26773, 16225, 267, 476, 24496, 9664, 454, 5575, 9990, 267, 476, 1220, 276, 454, 25835, 281, 476, 274, 268, 276, 2767, 268, 25134, 1704, 268, 274, 910, 25067, 13305, 6224, 454, 4942, 6664, 1794, 2940, 623, 275, 2389, 31807, 3927, 10776, 8240, 513, 7576, 30858, 18839, 5114, 540, 17576, 1673, 604, 1663, 19660, 1779, 25333, 609, 11337, 2940, 521, 1176, 331, 21449, 1023, 896, 7646, 2175, 547, 1683, 1395, 1993, 1663, 19660, 1779, 25333, 28429, 606, 12659, 20293, 21666, 2643, 332, 14007, 1895, 538, 1164, 11729, 609, 1164, 2098, 2824, 8481, 563, 288, 269, 918, 1180, 2129, 267, 918, 269, 918, 18649, 267, 631, 269, 6833, 3385, 267, 2107, 326, 269, 32731, 1421, 476, 1001, 280, 267, 476, 2641, 267, 476, 25375, 278, 268, 25248, 271, 563, 763, 8485, 1794, 2940, 3490, 645, 4932, 303, 10776, 8240, 606, 703, 1090, 12817, 8652, 600, 9179, 540, 4412, 1173, 344, 997, 23443, 553, 547, 1683, 708, 573, 1794, 13521, 514, 268, 273, 268, 2158, 543, 708, 573, 1794, 565, 268, 273, 268, 2158, 609, 5140, 2447, 334, 268, 543, 1036, 328, 846, 937, 8481, 896, 19355, 2175, 543, 2110, 5114, 2053, 563, 288, 269, 16629, 333, 10620, 267, 589, 269, 3131, 337, 821, 267, 623, 269, 623, 269, 631, 1794, 2763, 334, 267, 589, 269, 645, 659, 14024, 267, 681, 269, 2494, 322, 639, 334, 267, 645, 269, 18637, 4471, 548, 267, 681, 269, 7395, 22080, 267, 717, 269, 631, 269, 661, 269, 631, 2714, 328, 267, 589, 269, 853, 26325, 267, 715, 269, 667, 7578, 6970, 3299, 808, 269, 2107, 326, 269, 6314, 1421, 476, 1001, 280, 267, 476, 10019, 267, 476, 31003, 278, 268, 4097, 280, 271, 563, 288, 2189, 4999, 540, 5214, 27857, 8992, 519, 4483, 540, 9211, 543, 7250, 8444, 538, 513, 7646, 267, 22606, 267, 543, 4052, 1463, 8652, 776, 3175, 540, 24064, 2643, 993, 710, 16755, 609, 513, 2647, 2039, 540, 513, 787, 331, 10300, 1938, 630, 10175, 513, 787, 331, 8392, 1938, 1040, 901, 2489, 543, 3810, 2447, 846, 29193, 7014, 20205, 513, 3376, 2039, 540, 513, 787, 548, 628, 2643, 8533, 2472, 609, 2347, 1036, 328, 665, 2632, 1503, 563, 288, 269, 808, 269, 15196, 15838, 267, 595, 269, 623, 269, 1530, 987, 267, 589, 269, 631, 269, 2098, 792, 325, 1601, 267, 2098, 269, 2473, 340, 267, 715, 269, 570, 269, 4236, 328, 267, 808, 269, 2549, 269, 6314, 269, 17502, 1421, 476, 1001, 280, 267, 476, 15221, 267, 476, 29300, 278, 268, 25870, 274, 563, 288, 670, 279, 1532, 514, 7469, 628, 2643, 30499, 8280, 529, 638, 541, 29524, 18463, 18965, 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 ]
[ 1079, 21758, 1449, 723, 1079, 2565, 2418, 780, 2162, 1548, 568, 519, 2565, 1871, 585, 513, 476, 272, 4644, 1377, 2496, 763, 1034, 4122, 1031, 4644, 1377, 568, 14668, 815, 476, 271, 269, 4962, 269, 1280, 513, 1079, 21758, 1449, 267, 649, 12337, 476, 272, 1107, 14668, 270, 273, 267, 610, 476, 272, 1107, 476, 271, 269, 4962, 270, 273, 815, 476, 271, 269, 280, 4037, 950, 14668, 815, 476, 271, 269, 4962, 269, 1403, 519, 6207, 1871, 540, 519, 1449, 18802, 568, 3152, 982, 519, 2565, 1871, 630, 271, 269, 280, 4037, 1070, 1287, 649, 7947, 519, 14275, 8367, 780, 2162, 1548, 1281, 519, 2565, 1871, 4096, 593, 2496, 763, 2565, 2418, 4096, 593, 519, 2470, 540, 519, 14275, 8367, 267, 519, 10386, 3892, 10039, 267, 543, 519, 4644, 1377, 540, 513, 269, 519, 5506, 540, 3478, 513, 1871, 540, 519, 1449, 18802, 602, 568, 693, 2547, 607, 3665, 607, 519, 835, 8204, 519, 3732, 1239, 267, 14322, 602, 519, 14275, 8367, 568, 3020, 780, 2162, 1548, 9498, 4971, 1131, 594, 946, 547, 1265, 519, 2565, 1871, 585, 513, 476, 4200, 260, 6015, 8884, 2496, 5472, 596, 723, 547, 798, 568, 5031, 595, 3201, 290, 8085, 12442, 543, 2046, 13673, 9898, 269, 1924, 938, 476, 4200, 260, 6015, 8884, 568, 630, 1556, 269, 1626, 267, 476, 1704, 269, 2190, 6393, 2162, 1548, 568, 1377, 540, 4644, 609, 1383, 2496, 763, 4644, 1377, 267, 849, 20922, 607, 13672, 610, 14668, 267, 568, 519, 5506, 540, 7947, 532, 519, 14275, 8367, 950, 621, 568, 3020, 269, 1280, 1383, 267, 513, 4644, 1377, 540, 476, 271, 269, 4962, 6920, 513, 476, 276, 260, 1981, 540, 25759, 602, 513, 3017, 6818, 950, 972, 568, 1100, 4890, 3017, 780, 2162, 1215, 798, 596, 3313, 519, 1377, 540, 4644, 538, 513, 8367, 1449, 2496, 763, 1377, 540, 4644, 568, 519, 5506, 602, 649, 7947, 519, 14275, 8367, 630, 514, 3870, 540, 519, 4244, 264, 950, 621, 568, 2965, 3020, 543, 568, 849, 1572, 519, 7392, 594, 5470, 2557, 269, 14668, 815, 5426, 540, 4644, 815, 623, 263, 13911, 594, 5470, 264, 815, 623, 263, 3725, 915, 670, 271, 1923, 670, 271, 568, 3020, 1040, 5221, 14668, 568, 513, 5506, 267, 621, 9832, 1063, 476, 271, 543, 476, 272, 780, 2162, 1215, 798, 596, 1265, 519, 4397, 4908, 540, 513, 3732, 2496, 20412, 730, 676, 14921, 519, 2680, 779, 5506, 676, 519, 1297, 540, 28197, 267, 552, 3052, 269, 12902, 513, 476, 277, 593, 513, 1297, 13306, 538, 8938, 21144, 7140, 281, 4397, 4908, 815, 476, 272, 270, 277, 1535, 476, 2190, 815, 476, 275, 269, 0, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 4179, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 692, 898, 568, 4867, 476, 3066, 2904, 476, 1001, 278, 267, 476, 6734, 281, 876, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 3113, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 454, 12041, 24606, 454, 10048, 4526, 454, 16274, 281, 476, 5881, 4119, 476, 1001, 272, 454, 15803, 281, 476, 6812, 454, 3519, 1417, 1674, 281, 29661, 1222, 267, 16010, 454, 294, 5183, 281, 476, 274, 269, 9262, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 2641, 1496, 271, 3910, 2016, 281, 476, 272, 692, 2162, 8058, 16193, 692, 6021, 4119, 476, 1001, 272, 267, 476, 1321, 281, 4097, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 10695, 260, 630, 4905, 281, 6021, 264, 2953, 476, 1704, 260, 630, 6349, 281, 2767, 264, 4636, 1759, 593, 476, 277, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 11039, 267, 594, 1185, 513, 2731, 1390, 6516, 1500, 909, 267, 855, 621, 786, 711, 1577, 803, 2022, 621, 2439, 15368, 1227, 267, 594, 1031, 1079, 1318, 12730, 609, 1634, 5011, 540, 476, 4968, 543, 476, 6110, 269, 634, 5492, 523, 4926, 2196, 689, 2473, 547, 962, 269, 1403, 596, 4194, 585, 519, 5492, 523, 4926, 267, 789, 616, 476, 4335, 3299, 1927, 789, 1118, 519, 3845, 689, 2473, 547, 962, 476, 1911, 271, 262, 780, 310, 880, 594, 1223, 8936, 1250, 8666, 2336, 314, 3725, 557, 531, 316, 1975, 334, 8814, 281, 29314, 454, 14483, 9906, 454, 16274, 281, 476, 6349, 4119, 476, 1001, 272, 454, 15803, 281, 476, 4510, 454, 3519, 1417, 1674, 281, 16010, 267, 16195, 454, 29479, 476, 272, 281, 476, 16020, 1627, 2004, 966, 5655, 454, 294, 5183, 281, 476, 274, 269, 275, 454, 25446, 281, 8890, 560, 630, 8256, 738, 532, 994, 27063, 281, 476, 271, 692, 20132, 19560, 476, 1321, 1496, 271, 3910, 2016, 281, 476, 274, 692, 2162, 8058, 16193, 692, 6021, 4119, 476, 1001, 272, 267, 476, 1321, 281, 7871, 454, 20482, 337, 13718, 273, 7161, 7532, 630, 6110, 343, 273, 815, 476, 8517, 994, 274, 7161, 5087, 630, 1220, 343, 274, 815, 476, 7785, 994, 19136, 3170, 1318, 6906, 2094, 782, 10754, 2196, 5087, 5045, 610, 7532, 7178, 269, 2422, 533, 17233, 11501, 780, 279, 317, 273, 1341, 476, 277, 317, 273, 815, 476, 1911, 454, 6912, 1911, 815, 476, 1015, 563, 1015, 265, 1911, 815, 476, 1911, 271, 454, 289, 454, 17445, 528, 454, 16274, 281, 476, 4905, 4924, 476, 1001, 272, 454, 15803, 281, 476, 4037, 276, 454, 27063, 281, 476, 1691, 692, 20132, 19560, 476, 10219, 1496, 271, 3910, 2016, 281, 476, 5655, 692, 2162, 8058, 16193, 692, 2641, 4119, 476, 1001, 272, 267, 476, 1428, 281, 1015, 454, 273, 7161, 593, 7532, 7178, 815, 476, 8517, 454, 274, 7161, 593, 5087, 5045, 815, 476, 7785, 692, 323, 2700, 1063, 2473, 543, 962, 568, 4986, 855, 30494, 540, 713, 1318, 2587, 1194, 6906, 815, 476, 1911, 271, 692, 3725, 281, 3113, 5231, 1496, 258, 21529, 316, 476, 2641, 4119, 476, 1001, 272, 267, 476, 1428, 281, 1015, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 3113, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 543, 943, 335, 17668, 22048, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 1892, 5851, 454, 1892, 1315, 454, 1892, 1315, 454, 1892, 4569, 630, 307, 8980, 2567, 15233, 4197, 540, 590, 1938, 543, 27449, 540, 12443, 326, 976, 692, 258, 4569, 630, 307, 8980, 2567, 15233, 4197, 540, 590, 1938, 543, 27449, 540, 12443, 326, 976, 692, 2162, 21909, 539, 5384, 31108, 281, 476, 277, 19019, 531, 17963, 692, 7462, 10312, 23140, 16775, 454, 1892, 476, 278, 269, 276, 288, 2489, 1125, 519, 2565, 10305, 540, 16726, 267, 1519, 12753, 1369, 543, 1063, 2147, 5546, 1109, 22829, 994, 1892, 476, 278, 269, 276, 290, 4194, 6310, 543, 1483, 8996, 2042, 5473, 1109, 13678, 1791, 3337, 30548, 1109, 29173, 12400, 1109, 27562, 994, 25147, 519, 1739, 476, 276, 628, 6103, 23140, 16775, 538, 519, 1445, 960, 540, 713, 1770, 607, 1966, 6061, 547, 2689, 891, 16387, 2035, 585, 5254, 288, 2752, 4152, 780, 12218, 1518, 476, 273, 5937, 22955, 630, 295, 1512, 1105, 625, 2020, 1892, 476, 276, 269, 276, 19665, 1079, 8820, 5515, 538, 513, 15796, 540, 5036, 543, 29162, 1210, 8642, 25696, 1759, 593, 741, 10305, 543, 3601, 269, 1107, 681, 25846, 274, 454, 7462, 32492, 12071, 1890, 23140, 16775, 692, 23330, 725, 12071, 1890, 543, 11724, 532, 13158, 3930, 543, 623, 2075, 757, 692, 1892, 476, 277, 269, 274, 291, 1039, 267, 10208, 267, 9062, 267, 543, 7941, 9981, 2770, 1836, 630, 305, 994, 1892, 476, 277, 269, 274, 292, 9062, 543, 7941, 2318, 7787, 2338, 2770, 1836, 630, 305, 994, 1892, 476, 277, 269, 275, 292, 2099, 12753, 543, 25576, 757, 609, 6405, 3631, 267, 8454, 267, 543, 17447, 630, 306, 994, 7462, 9454, 531, 5623, 23140, 16775, 692, 18800, 25732, 27449, 689, 570, 8980, 6103, 476, 275, 692, 1892, 476, 275, 269, 278, 290, 3313, 519, 16977, 3800, 540, 7285, 538, 5232, 547, 519, 14282, 2898, 1297, 1210, 513, 1486, 847, 528, 282, 1107, 681, 25846, 274, 454, 1892, 476, 275, 269, 278, 288, 9414, 519, 2268, 540, 606, 5086, 607, 519, 851, 540, 513, 5858, 4171, 4099, 568, 693, 519, 14584, 540, 519, 5086, 602, 568, 968, 12827, 856, 892, 676, 519, 12345, 540, 519, 5086, 269, 24234, 3800, 616, 3908, 547, 2898, 2338, 282, 1107, 24857, 454, 1892, 476, 275, 269, 278, 289, 9414, 5232, 607, 519, 4559, 1031, 547, 2268, 606, 5086, 267, 1141, 476, 272, 270, 11740, 540, 1022, 5858, 568, 835, 4110, 543, 606, 5086, 602, 968, 25797, 892, 562, 270, 11740, 856, 540, 1022, 5858, 4171, 4099, 568, 693, 519, 5086, 779, 14584, 814, 513, 2268, 540, 562, 5232, 269, 24234, 3800, 616, 3908, 547, 2898, 2338, 282, 1107, 24857, 454, 1892, 476, 275, 269, 278, 291, 2721, 606, 5086, 609, 513, 2016, 2268, 282, 1107, 590, 25846, 274, 454, 1892, 476, 275, 269, 278, 292, 3313, 519, 2268, 540, 606, 7164, 5086, 4646, 676, 1079, 1875, 27492, 331, 6260, 11105, 7285, 2016, 835, 610, 1312, 5086, 3800, 269, 1107, 590, 25846, 274, 1496, 10175, 14911, 543, 24045, 7285, 316, 0, 258, 623, 6346, 589, 267, 645, 543, 595, 666, 6445, 513, 7382, 538, 476, 1428, 267, 476, 1789, 543, 476, 2412, 3108, 267, 6606, 269, 623, 6346, 589, 267, 645, 543, 595, 616, 8118, 693, 476, 277, 513, 6230, 1421, 476, 279, 513, 6230, 269, 543, 476, 1015, 513, 6230, 1421, 6606, 267, 593, 519, 1482, 1554, 269, 1879, 786, 519, 7382, 581, 2407, 2496, 10403, 6657, 2060, 4530, 1504, 631, 1442, 18873, 692, 1012, 18169, 1384, 272, 269, 476, 1556, 281, 736, 533, 6230, 780, 273, 269, 476, 274, 281, 736, 533, 6230, 780, 274, 269, 476, 278, 281, 736, 533, 6230, 780, 275, 269, 476, 276, 281, 736, 533, 6230, 780, 2162, 22043, 8382, 281, 26840, 476, 273, 630, 11405, 12989, 2020, 1607, 2243, 729, 5892, 4280, 538, 692, 7704, 290, 8713, 302, 19881, 7433, 476, 4391, 630, 13900, 323, 2201, 281, 476, 2190, 5437, 476, 1708, 271, 29196, 476, 273, 2020, 1012, 8827, 1384, 11693, 1384, 288, 7382, 568, 4904, 676, 12992, 589, 267, 645, 267, 595, 538, 476, 1428, 267, 476, 1789, 267, 543, 476, 2412, 3108, 6606, 692, 288, 267, 645, 267, 595, 616, 8118, 693, 476, 277, 993, 2073, 476, 279, 993, 543, 476, 1015, 993, 6606, 692, 15612, 566, 1384, 303, 6559, 589, 6445, 519, 7382, 538, 476, 1428, 3108, 692, 303, 6559, 589, 6445, 519, 7382, 538, 476, 272, 3108, 815, 476, 272, 270, 1428, 692, 303, 6559, 645, 6445, 519, 7382, 538, 476, 1789, 3108, 692, 303, 6559, 645, 6445, 519, 7382, 538, 476, 272, 5662, 815, 476, 272, 270, 1789, 692, 303, 6559, 595, 6445, 519, 7382, 538, 476, 2412, 5662, 692, 303, 6559, 595, 6445, 519, 7382, 538, 476, 272, 5662, 815, 476, 272, 270, 2412, 692, 303, 6559, 589, 960, 2944, 2094, 621, 568, 8118, 693, 476, 277, 993, 547, 476, 1015, 993, 1775, 4318, 585, 476, 275, 3108, 692, 10190, 2073, 10612, 589, 1568, 538, 476, 275, 3108, 815, 476, 272, 270, 1428, 1109, 9943, 476, 275, 815, 476, 275, 270, 1428, 692, 20118, 267, 623, 6559, 645, 1568, 2944, 2094, 621, 568, 8118, 547, 476, 279, 993, 547, 476, 1015, 993, 1775, 4318, 585, 476, 273, 3108, 692, 10190, 267, 10612, 589, 1568, 585, 476, 273, 3108, 815, 476, 272, 270, 1789, 1109, 9943, 476, 273, 815, 476, 273, 270, 1789, 692, 13707, 960, 2944, 689, 476, 277, 993, 547, 476, 1015, 993, 815, 476, 275 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1509, 267, 562, 910, 11113, 5157, 7481, 2018, 952, 544, 13843, 476, 271, 543, 759, 2652, 910, 272, 610, 630, 332, 13843, 476, 271, 543, 544, 1341, 476, 272, 2999, 759, 2187, 3546, 759, 815, 544, 1341, 476, 272, 454, 1038, 952, 759, 13843, 476, 271, 912, 2018, 1509, 19559, 316, 815, 759, 454, 1038, 3116, 912, 2018, 1509, 19559, 316, 815, 910, 272, 454, 1038, 2132, 759, 692, 825, 1219, 11777, 27087, 5334, 1828, 4311, 267, 11113, 281, 5903, 27776, 3910, 2179, 281, 703, 264, 9847, 703, 912, 1038, 11113, 31699, 263, 516, 2091, 18989, 994, 1038, 1582, 269, 637, 815, 476, 273, 2878, 476, 4029, 910, 476, 272, 454, 1038, 7003, 322, 815, 7003, 263, 23915, 2020, 1038, 1219, 25961, 263, 9690, 267, 1964, 300, 2292, 267, 1293, 2187, 2018, 952, 711, 1964, 300, 2292, 912, 3546, 1582, 269, 637, 815, 1295, 6262, 870, 267, 1582, 269, 637, 994, 2018, 585, 1775, 538, 2039, 263, 9690, 267, 7003, 322, 2187, 3546, 952, 11113, 5157, 316, 10922, 1964, 300, 2292, 2999, 11113, 5157, 316, 2608, 630, 1345, 269, 637, 910, 1293, 2187, 7386, 25961, 9217, 267, 1964, 300, 2292, 910, 11113, 5157, 3910, 1293, 1341, 476, 272, 2020, 1038, 585, 1775, 538, 2039, 12759, 322, 2187, 2018, 25961, 9217, 267, 2179, 267, 476, 271, 2020, 1038, 2132, 1582, 269, 637, 952, 1582, 269, 637, 2999, 476, 273, 2878, 476, 4029, 910, 476, 272, 3116, 910, 272, 692, 825, 1219, 11777, 27087, 273, 4311, 267, 11113, 267, 2179, 2187, 1038, 952, 2179, 2652, 476, 271, 912, 2018, 2132, 476, 271, 692, 1038, 952, 2179, 2999, 1295, 263, 23915, 2187, 2018, 2132, 910, 272, 692, 1038, 31185, 815, 30585, 272, 316, 16732, 26920, 266, 272, 994, 1038, 31185, 314, 271, 316, 815, 476, 271, 692, 1038, 585, 11777, 538, 11113, 912, 2018, 31185, 314, 8314, 316, 815, 476, 272, 692, 1038, 585, 1775, 538, 2039, 263, 272, 267, 2179, 266, 272, 2187, 2018, 585, 11777, 538, 11113, 912, 3546, 952, 1775, 13843, 11777, 543, 31185, 5157, 268, 8314, 316, 3436, 476, 271, 912, 7386, 952, 31185, 5157, 316, 2999, 476, 271, 912, 13376, 31185, 5157, 316, 815, 31185, 5157, 268, 8314, 27994, 272, 454, 7386, 3116, 912, 13376, 31185, 5157, 316, 815, 1295, 5560, 335, 5157, 3910, 31185, 5157, 268, 8314, 27994, 272, 994, 1038, 2132, 31185, 15631, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 1151, 815, 8827, 4590, 825, 1505, 815, 1151, 269, 8314, 27087, 273, 692, 825, 2665, 815, 1496, 454, 1038, 630, 24709, 267, 630, 314, 272, 267, 476, 273, 267, 476, 276, 3910, 476, 1556, 1070, 476, 274, 13211, 1038, 630, 24709, 267, 630, 314, 273, 3910, 476, 274, 1070, 910, 272, 13211, 1038, 630, 24709, 267, 630, 314, 272, 3910, 476, 271, 1070, 476, 271, 13211, 1038, 630, 24709, 267, 630, 314, 273, 3910, 476, 272, 1070, 910, 272, 13211, 1038, 630, 24709, 267, 630, 314, 273, 267, 276, 267, 272, 3910, 476, 277, 1070, 476, 273, 13211, 825, 476, 6540, 825, 585, 1775, 267, 630, 325, 15635, 267, 2013, 267, 4397, 264, 538, 26246, 6262, 1162, 2187, 1038, 20735, 815, 30775, 28949, 13826, 994, 1038, 952, 20735, 2652, 4397, 912, 2018, 1820, 2891, 19111, 2715, 281, 323, 348, 10426, 539, 2668, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 2891, 19111, 2715, 281, 323, 348, 674, 9229, 282, 1401, 4624, 2715, 281, 338, 348, 11203, 2715, 281, 338, 348, 2668, 8971, 9217, 1341, 476, 272, 267, 1193, 263, 1410, 4624, 1070, 1193, 263, 753, 30727, 0, 12163, 279, 4792, 780, 8469, 1756, 7531, 11693, 513, 9352, 3529, 12082, 693, 3597, 267, 519, 3178, 540, 1142, 6843, 568, 519, 20125, 3845, 547, 519, 3597, 780, 288, 6843, 568, 27811, 952, 621, 814, 519, 4102, 3178, 2009, 1851, 1022, 6843, 538, 519, 3003, 3529, 780, 763, 5705, 872, 540, 513, 6843, 568, 602, 6843, 267, 7132, 519, 1305, 540, 782, 18939, 540, 602, 6843, 780, 27987, 519, 6843, 609, 519, 4102, 3178, 971, 602, 621, 3568, 782, 519, 27811, 9136, 538, 922, 5705, 872, 780, 19152, 281, 1496, 274, 267, 276, 267, 272, 267, 277, 267, 273, 267, 271, 267, 279, 19885, 1638, 19885, 1638, 267, 278, 267, 275, 2639, 20479, 281, 1496, 273, 267, 278, 267, 275, 6540, 1001, 280, 269, 278, 269, 3066, 692, 20701, 5228, 10070, 1104, 3957, 14654, 921, 454, 5228, 1325, 2998, 269, 583, 1988, 6745, 872, 1104, 2608, 7531, 5035, 8827, 24998, 2187, 825, 1219, 5705, 872, 4415, 5472, 28308, 652, 5334, 1828, 4311, 267, 3597, 2187, 1038, 1948, 634, 1267, 540, 513, 5705, 872, 568, 912, 1038, 1948, 28088, 8542, 1712, 281, 519, 4102, 3178, 6843, 602, 568, 3160, 547, 610, 454, 1038, 1948, 23526, 606, 22660, 540, 782, 519, 27811, 9136, 540, 713, 5705, 872, 563, 1038, 1948, 28088, 6155, 626, 281, 519, 1297, 540, 9136, 538, 519, 2619, 689, 519, 3597, 454, 1038, 1948, 23526, 540, 713, 5705, 872, 267, 547, 519, 27811, 6843, 538, 713, 5705, 872, 563, 1038, 28088, 815, 3957, 14654, 921, 2891, 4910, 738, 2580, 9497, 27161, 2580, 834, 23251, 8442, 2020, 1038, 1219, 546, 12028, 27316, 2187, 2018, 1948, 17776, 519, 1267, 540, 519, 5705, 872, 693, 713, 6843, 563, 2018, 952, 711, 6843, 281, 2132, 28088, 263, 14085, 267, 476, 271, 994, 2018, 700, 267, 681, 815, 546, 12028, 27316, 16000, 1070, 546, 12028, 27316, 16192, 994, 2018, 952, 700, 6155, 626, 3436, 681, 6155, 626, 281, 2132, 28088, 27331, 8542, 1712, 267, 700, 6155, 626, 1341, 476, 272, 994, 2018, 952, 700, 6155, 626, 2999, 681, 6155, 626, 281, 2132, 28088, 27562, 8542, 1712, 267, 681, 6155, 626, 1341, 476, 272, 994, 2018, 2132, 28088, 27316, 267, 700, 6155, 626, 1341, 476, 272, 2020, 1038, 2132, 546, 12028, 20172, 1040, 27161, 692, 825, 1219, 5705, 872, 4415, 5472, 28308, 652, 4311, 267, 3597, 17107, 1038, 1219, 4463, 27316, 2187, 2018, 952, 711, 6843, 912, 3546, 2132, 476, 271, 692, 2018, 561, 815, 4463, 27316, 16000, 994, 2018, 678, 815, 4463, 27316, 16192, 994, 2018, 6843, 269, 19417, 815, 3193, 10857, 267, 678, 264, 1341, 476, 272, 454, 2018, 2132, 6843, 269, 19417, 692, 1038, 1219, 25961, 27316, 2187, 2018, 952, 711, 6843, 912, 3546, 2132, 692, 2018, 2451, 815, 25961, 27316, 16000, 994, 2018, 1318, 815, 25961, 27316, 16192, 2020, 2018, 952, 711, 2451, 543, 711, 1318, 912, 3546, 2132, 6843, 454, 2018, 8640, 2451, 543, 711, 1318, 912, 3546, 2132, 2451, 454, 2018, 8640, 1318, 543, 711, 2451, 912, 3546, 2132, 1318, 454, 2018, 3116, 912, 3546, 952, 6843, 16000, 269, 19417, 3436, 6843, 16192, 269, 19417, 912, 7386, 2132, 2451, 454, 3546, 8640, 6843, 16000, 269, 19417, 2999, 6843, 16192, 269, 19417, 912, 7386, 2132, 1318, 454, 3546, 3116, 912, 7386, 2132, 6843, 692, 1038, 4463, 20172, 994, 1038, 2132, 25961, 20172, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 2018, 1151, 815, 8827, 4590, 2018, 1505, 815, 1151, 16553, 29728, 4415, 5472, 28308, 652, 692, 2018, 3529, 272, 815, 964, 518, 658, 1125, 3488, 314, 274, 267, 272, 267, 275, 19885, 1638, 267, 273, 316, 5073, 2018, 3529, 273, 815, 964, 518, 658, 1125, 3488, 314, 276, 267, 274, 267, 277, 267, 273, 267, 275, 19885, 1638, 19885, 1638, 267, 272, 316, 17210, 2018, 2665, 815, 1496, 454, 3546, 630, 24709, 267, 630, 29728, 272, 267, 1070, 476, 273, 13211, 3546, 630, 24709, 267, 630, 29728, 273, 267, 1070, 476, 274, 13211, 2018, 476, 6540, 2018, 585, 1775, 267, 630, 325, 15635, 267, 2013, 267, 4397, 264, 538, 26246, 6262, 1162, 2187, 3546, 20735, 815, 30775, 28949, 13826, 994, 3546, 952, 20735, 2652, 4397, 912, 7386, 1820, 2891, 19111, 2715, 281, 323, 348, 10426, 539, 2668, 8971, 9217, 1341, 476, 272, 4917, 3546, 3116, 912, 7386, 1820, 2891, 19111, 2715, 281, 323, 348, 674, 9229, 282, 1401, 4624, 2715, 281, 338, 348, 11203, 2715, 281, 338, 348, 2668, 8971, 9217, 1341, 476, 272, 267, 1193, 263, 1410, 4624, 1070, 1193, 263, 753, 30727, 0, 12163, 311, 568, 513, 1434, 1297, 952, 1310, 15914, 1142, 7857, 14350, 676, 476, 5197, 5232, 2676, 933, 1205, 513, 4570, 1297, 602, 568, 1114, 689, 2473, 269, 476, 3962, 7857, 1590, 581, 29352, 910, 649, 3112, 3442, 547, 4734, 621, 4805, 780, 288, 1297, 568, 4570, 952, 1142, 7857, 3788, 513, 7857, 1310, 10047, 269, 476, 271, 267, 476, 272, 267, 543, 476, 279, 17967, 547, 2933, 3248, 273, 543, 476, 276, 17967, 547, 1142, 824, 282, 476, 277, 543, 476, 280, 17967, 547, 1142, 824, 2676, 663, 519, 1964, 540, 519, 2338, 798, 711, 17967, 547, 1022, 824, 1297, 543, 1831, 23380, 780, 3086, 2016, 513, 2318, 1297, 715, 267, 875, 1082, 2338, 2473, 689, 476, 272, 547, 715, 616, 1434, 2496, 7078, 912, 19152, 281, 476, 1015, 454, 20479, 281, 476, 275, 454, 15008, 912, 2467, 616, 2185, 1434, 2338, 538, 519, 2039, 1496, 272, 267, 476, 1015, 316, 2433, 476, 273, 267, 476, 276, 267, 476, 277, 267, 476, 280, 563, 9616, 602, 476, 272, 543, 476, 1015, 616, 711, 1434, 2338, 267, 2094, 789, 2611, 24240, 1310, 15914, 563, 9616, 1384, 301, 476, 786, 581, 538, 2039, 1496, 272, 267, 476, 1911, 876, 14073, 692, 20701, 454, 5035, 8827, 912, 825, 1219, 17967, 20311, 4311, 267, 562, 2187, 1038, 29185, 1038, 2433, 12407, 562, 281, 568, 606, 8870, 454, 1038, 2433, 8873, 281, 519, 1297, 1310, 10047, 454, 1038, 8173, 1038, 32186, 815, 13634, 2018, 476, 271, 281, 476, 271, 2676, 2018, 476, 272, 281, 476, 272, 2676, 2018, 476, 273, 281, 476, 276, 2676, 2018, 476, 274, 281, 7183, 2676, 2018, 476, 275, 281, 7183, 2676, 2018, 476, 276, 281, 476, 273, 2676, 2018, 476, 277, 281, 476, 280, 2676, 2018, 476, 278, 281, 7183, 2676, 2018, 476, 279, 281, 476, 279, 2676, 2018, 476, 280, 281, 476, 277, 454, 1038, 7684, 454, 1038, 1193, 5332, 815, 11713, 1038, 585, 521, 538, 1193, 3799, 2187, 2018, 952, 32186, 27776, 4433, 13580, 568, 7183, 912, 3546, 2132, 7183, 454, 2018, 3116, 912, 3546, 1193, 5332, 6910, 19304, 263, 8527, 725, 27776, 4433, 264, 8079, 2020, 1038, 2132, 703, 2891, 2668, 21860, 19304, 5332, 264, 9239, 825, 1219, 29352, 14707, 1080, 4311, 267, 715, 2187, 1038, 8173, 1038, 2433, 6943, 715, 281, 703, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 29185, 1038, 1267, 815, 476, 271, 454, 1038, 585, 562, 538, 2039, 263, 272, 267, 715, 266, 272, 2187, 2018, 17967, 815, 1582, 269, 8527, 622, 20311, 3799, 994, 2018, 952, 17967, 543, 562, 11203, 17967, 912, 3546, 1267, 6834, 476, 272, 454, 1038, 2132, 1267, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1151, 815, 8827, 4590, 825, 2665, 815, 1496, 454, 1038, 630, 1015, 267, 476, 275, 13211, 1038, 630, 273, 267, 476, 272, 13211, 1038, 630, 5952, 278, 267, 476, 26316, 9239, 825, 476, 6540, 825, 1948, 1820, 4433, 565, 269, 8527, 622, 20311, 263, 5952, 278, 11723, 825, 585, 524, 538, 2665, 912, 1038, 7682, 1151, 269, 8527, 730, 14707, 1080, 6262, 314, 271, 8079, 2652, 524, 314, 272, 3910, 630, 338, 565, 269, 8527, 730, 14707, 1080, 6262, 314, 271, 25818, 524, 314, 272, 7481 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 855, 621, 666, 7794, 519, 6091, 1472, 707, 12597, 269, 29303, 568, 849, 513, 1970, 27780, 716, 2534, 602, 666, 7794, 519, 6091, 1472, 519, 12597, 563, 5194, 3635, 602, 18791, 519, 12597, 568, 1850, 12651, 269, 1635, 14084, 593, 707, 1394, 267, 596, 666, 6318, 707, 2786, 1850, 3670, 6279, 1055, 519, 6989, 269, 15579, 585, 2947, 7643, 543, 10956, 4557, 2053, 269, 1411, 666, 849, 946, 21721, 12035, 547, 7794, 707, 19704, 269, 634, 12035, 666, 581, 476, 276, 6550, 610, 4130, 269, 29303, 23651, 666, 849, 581, 2500, 538, 14304, 519, 8423, 1598, 902, 563, 763, 1034, 1271, 3364, 547, 798, 950, 16706, 568, 6432, 547, 707, 1560, 269, 5213, 1406, 936, 4777, 621, 267, 607, 713, 666, 1118, 707, 1928, 8338, 269, 3680, 3257, 1164, 27780, 716, 5751, 899, 838, 11781, 532, 610, 28185, 3101, 267, 1317, 596, 1223, 3614, 675, 3054, 2417, 269, 1403, 596, 1810, 1406, 1745, 6899, 609, 513, 15904, 267, 2119, 16706, 538, 1216, 269, 634, 26255, 3599, 540, 1216, 786, 1491, 930, 540, 519, 2566, 1055, 707, 10549, 267, 543, 713, 786, 1118, 707, 19704, 1745, 1732, 563, 1692, 1684, 594, 13363, 3733, 918, 928, 525, 593, 606, 11644, 645, 833, 888, 298, 26234, 7063, 616, 835, 540, 519, 1034, 1455, 20286, 1851, 1004, 945, 3635, 269, 1358, 3335, 2049, 607, 513, 1267, 540, 936, 2224, 543, 16625, 20517, 269, 1358, 666, 849, 581, 3361, 676, 15779, 5945, 267, 8377, 267, 610, 824, 2188, 269, 769, 2901, 2013, 267, 1697, 14317, 568, 2556, 269, 18641, 267, 606, 3635, 11332, 568, 513, 10375, 1259, 547, 2232, 543, 2061, 12597, 2042, 563, 2691, 1210, 606, 3635, 11332, 267, 519, 521, 18150, 1058, 581, 17479, 693, 513, 6899, 4463, 585, 707, 1560, 269, 1403, 519, 521, 18150, 568, 1932, 1164, 610, 1932, 1970, 267, 596, 1981, 2269, 1456, 707, 19704, 269, 769, 1931, 547, 2057, 5945, 267, 1118, 2386, 596, 946, 1697, 1106, 269, 1280, 1383, 267, 1697, 1106, 1797, 602, 519, 10160, 540, 519, 11332, 1058, 1964, 593, 519, 12048, 5642, 950, 7555, 269, 1879, 14964, 267, 707, 7953, 1058, 581, 6905, 609, 513, 13581, 18846, 693, 519, 12597, 563, 6524, 3478, 593, 519, 3635, 11332, 267, 621, 779, 1271, 547, 1685, 513, 3636, 5346, 6296, 269, 898, 779, 1271, 547, 1376, 7444, 543, 1628, 909, 707, 3432, 7930, 269, 1635, 1574, 532, 883, 519, 15904, 267, 596, 786, 2333, 707, 1560, 779, 1973, 2095, 543, 2087, 707, 8112, 543, 2039, 540, 5163, 563, 1692, 1684, 594, 13363, 3733, 918, 928, 525, 1879, 20676, 532, 888, 290, 5670, 532, 568, 513, 1390, 1106, 540, 3635, 267, 855, 621, 666, 581, 3226, 5739, 585, 707, 19704, 952, 596, 2461, 711, 6297, 269, 898, 779, 1271, 547, 7930, 2333, 519, 2179, 540, 942, 596, 4783, 538, 1931, 547, 2057, 3614, 1005, 707, 19704, 269, 20676, 532, 568, 513, 1164, 14617, 20659, 2534, 267, 543, 621, 779, 849, 4443, 593, 707, 19704, 543, 10549, 982, 1034, 824, 3029, 540, 3635, 269, 1677, 2149, 707, 19704, 1247, 15203, 267, 596, 1058, 3636, 909, 707, 10549, 1101, 676, 3257, 9543, 267, 3500, 15198, 269, 1411, 666, 1287, 7930, 2333, 519, 8515, 540, 707, 15203, 267, 607, 596, 1745, 6899, 563, 763, 1101, 1900, 547, 7863, 707, 19704, 1247, 15203, 568, 547, 1118, 2386, 596, 1832, 707, 1714, 28647, 2786, 543, 5594, 18761, 269, 898, 779, 849, 1271, 547, 1832, 707, 1394, 2786, 547, 2061, 707, 1394, 689, 1327, 6362, 269, 1403, 707, 1394, 568, 19526, 267, 621, 786, 2014, 707, 19704, 547, 12900, 1524, 2072, 269, 901, 666, 1291, 547, 12597, 1928, 543, 606, 16789, 3196, 3892, 538, 707, 19704, 563, 2252, 596, 1995, 1928, 1282, 707, 15203, 3635, 267, 1118, 2386, 596, 1491, 519, 942, 547, 1964, 269, 10266, 666, 581, 606, 2038, 9963, 1129, 540, 513, 3978, 1966, 269, 1411, 1058, 2141, 2119, 547, 2697, 519, 2014, 540, 707, 1928, 865, 602, 596, 666, 3343, 2126, 607, 4166, 607, 2009, 269, 7216, 5868, 568, 1271, 585, 9319, 2417, 7063, 563, 9596, 2859, 3371, 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 ]
[ 0, 6624, 513, 4317, 5525, 4116, 814, 16219, 547, 968, 1962, 532, 1686, 547, 1272, 2223, 855, 519, 1148, 540, 476, 274, 291, 11132, 16646, 2965, 27605, 621, 1055, 676, 6029, 519, 1004, 540, 2221, 1018, 4583, 5515, 6743, 899, 950, 789, 941, 1869, 1851, 519, 2713, 269, 634, 4480, 267, 811, 5265, 5219, 547, 607, 513, 5057, 540, 18837, 19795, 267, 814, 5280, 2413, 12206, 267, 3318, 543, 23153, 7567, 267, 6368, 2097, 3068, 3562, 19904, 609, 930, 540, 519, 1034, 1271, 2043, 538, 1480, 1686, 563, 20288, 14750, 11132, 16646, 3884, 1406, 2653, 267, 2523, 950, 621, 779, 1373, 5340, 593, 1004, 602, 723, 1044, 8854, 585, 5553, 269, 20323, 1031, 547, 948, 2697, 5393, 9178, 539, 1480, 3788, 585, 519, 5301, 540, 7803, 7634, 267, 11132, 16646, 814, 4359, 2484, 2614, 602, 621, 666, 581, 1031, 585, 811, 4081, 18697, 269, 4014, 930, 3140, 5515, 1185, 29147, 968, 1372, 987, 13968, 892, 1500, 602, 1683, 606, 2653, 4358, 1448, 585, 2413, 3744, 267, 11132, 16646, 2356, 3322, 1210, 519, 1480, 15693, 607, 513, 3490, 267, 543, 970, 1905, 565, 908, 21286, 689, 972, 547, 4786, 856, 21483, 2571, 5160, 13307, 2394, 513, 20559, 762, 3068, 5526, 269, 634, 4480, 12346, 593, 2067, 7436, 593, 519, 15693, 602, 5815, 16977, 2571, 5160, 3178, 267, 10213, 18949, 832, 875, 1454, 5160, 547, 4494, 593, 269, 769, 519, 2395, 1354, 5904, 267, 11132, 10411, 15297, 941, 2944, 1928, 560, 1136, 569, 676, 1688, 267, 855, 1007, 2029, 814, 1500, 519, 1184, 1454, 811, 3608, 543, 4977, 269, 898, 779, 711, 513, 3501, 1184, 267, 855, 621, 779, 607, 2673, 607, 1022, 2413, 1268, 568, 2469, 547, 1205, 547, 3168, 3751, 15397, 538, 519, 3068, 563, 307, 583, 1678, 5069, 684, 21581, 281, 13334, 307, 583, 1678, 5069, 684, 630, 26123, 12266, 281, 1000, 339, 21844, 506, 354, 333, 21681, 360, 476, 13799, 393, 501, 19282, 264, 20465, 849, 1634, 676, 519, 5527, 1670, 12332, 15397, 1678, 5069, 523, 630, 23873, 16532, 18949, 539, 1315, 3279, 16659, 11445, 27474, 339, 476, 16659, 390, 499, 320, 27474, 333, 343, 340, 30379, 498, 320, 16659, 2742, 27474, 333, 270, 630, 300, 298, 1070, 630, 322, 269, 476, 16328, 272, 1107, 524, 269, 476, 15171, 274, 7460, 264, 729, 606, 3504, 12266, 943, 21198, 540, 519, 476, 1240, 628, 15913, 630, 337, 27968, 524, 269, 476, 15836, 273, 1107, 476, 15171, 274, 7460, 538, 519, 6671, 12225, 1108, 1070, 1282, 519, 1974, 540, 12266, 1686, 1634, 607, 519, 1715, 8003, 269, 1261, 814, 267, 2094, 519, 6602, 540, 1010, 16856, 19772, 267, 1044, 5219, 547, 30351, 6053, 607, 3751, 15397, 269, 634, 476, 4572, 273, 6602, 676, 20999, 25020, 540, 15397, 1678, 5069, 684, 781, 5176, 16856, 19772, 267, 14102, 676, 7083, 2961, 333, 541, 341, 517, 267, 4607, 5001, 2046, 3795, 269, 898, 17275, 513, 17105, 1857, 1719, 538, 3504, 5527, 267, 585, 799, 15397, 1678, 5069, 684, 781, 9633, 267, 1631, 538, 519, 12266, 7467, 28011, 811, 454, 268, 2605, 2946, 323, 2946, 878, 31839, 12251, 932, 641, 514, 630, 267, 849, 5177, 281, 2073, 2475, 281, 2073, 3943, 281, 1496, 390, 481, 389, 498, 335, 389, 505, 392, 481, 3910, 14470, 281, 1496, 16659, 390, 480, 389, 498, 335, 389, 505, 333, 22049, 476, 272, 4728, 476, 8687, 271, 1107, 476, 1704, 5239, 476, 7277, 280, 264, 729, 513, 14470, 21917, 543, 4075, 340, 657, 334, 32058, 626, 540, 519, 21434, 5736, 945, 5206, 5097, 585, 21088, 14440, 269, 1261, 814, 9738, 5001, 556, 852, 333, 607, 513, 3056, 22459, 540, 1010, 5736, 267, 835, 4171, 834, 17763, 2045, 21184, 729, 1759, 593, 513, 3318, 4480, 602, 729, 1510, 3160, 538, 1010, 5108, 1701, 2419, 641, 514, 729, 4535, 674, 787, 1457, 344, 330, 14731, 345, 2131, 932, 641, 514, 538, 519, 667, 1276, 344, 540, 32160, 543, 8057, 909, 538, 32160, 267, 799, 538, 476, 8687, 276, 2968, 851, 540, 6837, 12996, 269, 589, 1126, 605, 21745, 344, 267, 646, 6192, 1010, 7574, 2069, 543, 7768, 1010, 4505, 1568, 538, 32160, 1354, 6028, 12996, 693, 519, 2085, 540, 476, 736, 267, 1447, 982, 513, 3923, 1354, 519, 12176, 540, 519, 1862, 811, 454, 268, 11473, 281, 13334, 301, 3266, 630, 282, 5824, 281, 715, 3266, 19863, 3780, 19332, 31217, 4436, 16307, 282, 476, 1428, 5412, 476, 4391, 1107, 476, 280, 4873, 476, 6924, 5084, 264, 729, 519, 2063, 4936, 17169, 540, 519, 7325, 1470, 4211, 5055, 644, 1014, 15913, 269, 1261, 729, 7550, 676, 1010, 1390, 10595, 2193, 19863, 3780, 543, 2968, 19863, 3780, 262, 25752, 543, 24288, 269, 6145, 19863, 3780, 267, 715, 3266, 2968, 17169, 609, 519, 9844, 540, 519, 16217, 564, 20187, 15050, 269, 715, 3266, 781, 3993, 267, 3397, 23774, 2088, 519, 8479, 518, 267, 729, 2693, 26582, 538, 19863, 3780, 262, 2669, 543, 715, 3266, 781, 9930, 1588, 607, 17169, 269, 2701, 13856, 715, 3266, 781, 2038, 1272, 543, 3664, 2394, 646, 5641, 1200, 1055, 269, 12866, 1296, 883, 1010, 12081, 267, 646, 1185, 1200, 23689, 6185, 1005, 519, 2038, 1296, 540, 1010, 12081, 267, 715, 3266, 729, 1543, 547, 581, 11461, 676, 1010, 3993, 267, 1010, 20131, 13198, 857, 639, 7788, 30906, 7354, 29132, 267, 543, 1010, 16217, 564, 20187, 840, 2739, 1530, 868, 639, 2279, 3757, 3780, 1862, 811, 454, 268, 30686, 8834, 5576, 340, 6975, 630, 23389, 281, 1496, 16659, 325, 390, 479, 656, 393, 350, 338, 476, 16659, 701, 27474, 339, 389, 494, 476, 16659, 390, 481, 340, 27474, 321, 389, 494, 339, 22049, 476, 4029, 5130, 476, 9692, 278, 1107, 476, 866, 5437, 476, 9264, 279, 264, 729, 606, 22341, 21917, 540, 519, 3735, 18190, 543, 2038, 21434, 21971, 269, 6736, 1010, 2110, 10715, 267, 5576, 340, 6975, 2451, 3297, 513, 5318, 522, 324, 12320, 516, 267, 1519, 811, 982, 476, 7785, 16712, 13047, 1568, 630, 10852, 569, 700, 1221, 518, 1070, 5722, 2347, 1623, 874, 23888, 267, 10723, 2575, 267, 1766, 553, 267, 10071, 531, 2575, 543, 513, 1804, 1560, 540, 14440, 543, 12068, 2575, 269, 3571, 2101, 1568, 1331, 519, 623, 10730, 2372, 842, 564, 538, 589, 2101, 267, 667, 269, 476, 5780, 278, 630, 307, 709, 339, 2372, 842, 564, 1070, 519, 6641, 21620, 3143, 269, 476, 279, 538, 645, 5634, 267, 667, 269, 476, 4037, 280, 630, 4462, 21129, 1639, 6641, 21620, 1070, 519, 1614, 2063, 14440, 5067, 21648, 630, 291, 269, 476, 4817, 279, 1700, 31634, 1070, 519, 22968, 674, 20346, 30944, 630, 291, 269, 476, 8064, 277, 1070, 519, 10071, 531, 2575, 547, 519, 1404, 14472, 600, 1495, 324, 630, 291, 269, 476, 8064, 278, 1070, 543, 519, 5152, 9979, 12603, 11634, 7238, 928, 1862, 811, 0, 299, 665, 1446, 281, 932, 7637, 19092, 1107, 14076, 320, 14076, 320, 932, 7637, 454, 11917, 2091, 318, 5327, 322, 281, 3751, 9849, 667, 14653, 328, 9361, 593, 513, 17599, 267, 595, 29266, 267, 30060, 17689, 269, 1230, 577, 7387, 1985, 547, 519, 2212, 540, 519, 4622, 454, 305, 27654, 5091, 525, 322, 281, 4622, 9361, 593, 519, 6989, 609, 513, 7097, 2542, 14076, 320, 14076, 320, 454, 8448, 318, 24687, 281, 634, 669, 7637, 15913, 12199, 689, 519, 476, 1015, 628, 547, 519, 476, 1724, 628, 5553, 269, 21019, 11113, 941, 21000, 3990, 7136, 320, 543, 4154, 543, 8988, 941, 1634, 607, 918, 1695, 24170, 340, 563, 2026, 2854, 1354, 519, 6532, 1826, 543, 22163, 1826, 666, 581, 13747, 689, 1142, 824, 676, 519, 4527, 610, 711, 540, 513, 524, 29266, 1657, 519, 12440, 540, 11084, 610, 21384, 547, 519, 1318, 540, 519, 7555, 4622, 269, 2201, 519, 6532, 2152, 519, 524, 29266, 568, 15534, 543, 1397, 513, 12440, 540, 2947, 11084, 563, 4002, 519, 22163, 1826, 513, 524, 29266, 568, 3254, 1657, 519, 12440, 540, 11084, 269, 901, 849, 10039, 547, 519, 7601, 2152, 14076, 541, 24652, 932, 7637, 267, 799, 4667, 23223, 2406, 581, 540, 519, 22163, 1826, 563, 763, 1297, 540, 15956, 593, 1346, 7601, 11113, 949, 8428, 267, 855, 789, 782, 1397, 513, 524, 29266, 1657, 269, 3143, 2312, 6532, 15178, 3390, 814, 2479, 1044, 4080, 543, 4440, 789, 14201, 1406, 13351, 693, 602, 942, 607, 972, 729, 1100, 6805, 7601, 11777, 13351, 593, 519, 6532, 2901, 563, 4415, 519, 11808, 540, 19453, 2297, 324, 7115, 538, 476, 13040, 271, 267, 3181, 1078, 4154, 11113, 538, 519, 2012, 540, 966, 6359, 11535, 15840, 340, 594, 630, 10755, 276, 268, 9340, 271, 264, 941, 9783, 267, 799, 782, 1397, 519, 12440, 540, 2947, 11084, 269, 901, 5170, 896, 20422, 17710, 11489, 3592, 519, 1439, 540, 519, 476, 1724, 628, 2540, 563, 27066, 281, 631, 3558, 10719, 1948, 278, 3953, 267, 1948, 278, 3451, 454, 763, 8100, 1031, 912, 28061, 631, 3558, 10719, 281, 31970, 3213, 1231, 543, 22243, 2418, 267, 6348, 268, 26576, 545, 2276, 1299, 5375, 16690, 625, 267, 5084, 7785, 268, 3192, 280, 267, 5507, 476, 3192, 280, 2676, 28061, 631, 3558, 10719, 281, 634, 11777, 720, 543, 1686, 540, 8828, 3127, 269, 851, 5565, 1107, 20474, 333, 611, 340, 1107, 29242, 267, 5507, 476, 1960, 279, 269, 0, 258, 307, 294, 2862, 293, 281, 634, 1152, 17749, 2272, 547, 1246, 713, 11016, 568, 7711, 1399, 1842, 342, 1170, 454, 2108, 27662, 17349, 269, 3367, 1464, 269, 8629, 2032, 1848, 1452, 616, 930, 540, 519, 1883, 2609, 540, 519, 4139, 11978, 4919, 13910, 267, 849, 1634, 607, 968, 18933, 1170, 13910, 892, 799, 3989, 606, 5736, 563, 8110, 623, 11065, 269, 23729, 7714, 685, 3778, 540, 18753, 5071, 4139, 11978, 4919, 5071, 779, 6310, 21870, 616, 2808, 547, 581, 519, 968, 2865, 1850, 1043, 543, 18900, 1797, 585, 1785, 1005, 1344, 1848, 8616, 267, 18230, 13910, 568, 711, 1152, 827, 21870, 607, 621, 3322, 968, 534, 12623, 20470, 11768, 267, 521, 753, 1583, 604, 1826, 5865, 543, 519, 7957, 1681, 540, 10344, 936, 12383, 892, 4967, 7179, 300, 698, 563, 10527, 3350, 779, 3048, 2209, 5916, 2609, 540, 824, 7499, 3466, 547, 1711, 519, 5898, 543, 16134, 540, 519, 18230, 13910, 602, 649, 917, 2221, 269, 15689, 689, 645, 879, 27346, 267, 1546, 853, 6359, 331, 543, 634, 1715, 11978, 2762, 616, 20057, 1194, 2429, 519, 1568, 540, 661, 3464, 660, 918, 11839, 267, 7665, 9291, 267, 8277, 325, 5336, 6686, 28705, 4858, 330, 10458, 543, 1488, 2381, 670, 1993, 10458, 1765, 328, 4318, 1421, 519, 23806, 540, 18230, 13910, 892, 8591, 11910, 773, 14863, 4459, 563, 763, 4139, 11978, 4919, 13910, 267, 849, 1634, 607, 519, 18230, 13910, 267, 568, 513, 8642, 1374, 2511, 602, 7153, 538, 6576, 267, 519, 13814, 267, 543, 5125, 538, 519, 476, 4572, 271, 338, 543, 729, 2919, 676, 9858, 538, 16848, 1282, 519, 476, 4198, 271, 338, 563, 763, 4139, 11978, 4919, 13910, 814, 1185, 7096, 3310, 593, 8642, 1374, 607, 513, 851, 540, 519, 2413, 626, 3350, 267, 18363, 1082, 1374, 5829, 4610, 1519, 6189, 543, 1148, 269, 898, 11363, 2973, 1145, 267, 31824, 267, 543, 1843, 2032, 563, 295, 718, 12201, 540, 519, 2511, 616, 12623, 13240, 29282, 267, 946, 540, 513, 7470, 267, 521, 753, 1606, 518, 604, 1826, 5865, 899, 13019, 345, 16582, 345, 23108, 5052, 330, 267, 543, 23574, 2451, 267, 986, 13949, 1318, 1257, 269, 634, 2511, 568, 849, 2404, 609, 513, 13283, 585, 10344, 538, 1747, 540, 12383, 610, 12400, 269, 3509, 540, 519, 2038, 4139, 11978, 4919, 13910, 1568, 12286, 1462, 2762, 607, 513, 3119, 1374, 3693, 538, 1840, 547, 922, 946, 538, 1257, 267, 543, 621, 568, 585, 713, 602, 519, 2511, 568, 3957, 269, 634, 7506, 540, 713, 8642, 3350, 666, 1869, 581, 2938, 538, 1374, 4640, 543, 3069, 547, 713, 1554, 563, 18439, 519, 7372, 9371, 540, 18230, 13910, 609, 519, 1152, 17749, 547, 1246, 713, 11016, 269, 11978, 334, 18933, 1170, 568, 4904, 609, 1462, 4919, 16782, 267, 17364, 5756, 540, 10875, 8642, 1374, 9035, 596, 1058, 917, 563, 30475, 270, 1462, 2762, 267, 8642, 1374, 267, 1826, 2183, 267, 2220, 15909, 267, 678, 17892, 267, 2121, 615, 4133, 267, 7470, 267, 521, 753, 1583, 604, 267, 2220, 1170, 2511, 267, 536, 879, 27346, 267, 632, 588, 6359, 331, 267, 3486, 1462, 4919, 2511, 267, 27437, 267, 512, 22080, 604, 267, 1462, 657, 342, 1170, 267, 2413, 626, 3350, 267, 513, 330, 345, 16582, 345, 9240, 5052, 330, 267, 519, 1007, 1462, 2762, 267, 1820, 332, 698, 0, 14483, 16457, 1404, 606, 1271, 1909, 538, 772, 28903, 6406, 7896, 11929 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9046, 268, 4905, 1384, 3519, 3200, 519, 1739, 24813, 8239, 883, 796, 3711, 27631, 8239, 7042, 305, 1109, 20681, 681, 1341, 681, 1315, 681, 1547, 681, 1315, 681, 265, 1315, 513, 1315, 536, 692, 3602, 2608, 568, 737, 22220, 19479, 543, 1547, 568, 6677, 22760, 566, 780, 1012, 8827, 7042, 2414, 6460, 519, 2016, 8239, 883, 922, 7222, 796, 3711, 27631, 8239, 267, 649, 2936, 519, 9551, 775, 543, 1997, 18356, 10148, 780, 2171, 723, 7042, 1892, 9717, 8239, 5161, 540, 519, 1739, 12427, 7042, 266, 2073, 1547, 2073, 2608, 692, 1892, 9717, 8239, 5161, 540, 519, 1739, 1766, 1343, 7042, 320, 2073, 536, 692, 763, 10862, 1931, 568, 7042, 5416, 2073, 536, 264, 3436, 2608, 3436, 1547, 3436, 1341, 692, 3602, 7042, 1892, 1547, 11346, 568, 2451, 1997, 894, 454, 1892, 1341, 11346, 568, 2451, 1997, 894, 692, 8794, 519, 9551, 775, 543, 1997, 18356, 3652, 267, 649, 2328, 519, 7222, 796, 3711, 27631, 8239, 607, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1547, 674, 1315, 674, 692, 293, 1109, 20681, 674, 265, 1315, 717, 692, 294, 1109, 20681, 513, 1315, 536, 692, 4462, 3711, 27631, 18049, 692, 3036, 692, 292, 1109, 20681, 661, 1341, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1547, 674, 1315, 674, 692, 293, 1109, 20681, 674, 265, 1315, 513, 1315, 536, 692, 4462, 3711, 27631, 18049, 692, 1012, 9046, 268, 6349, 1384, 3519, 3200, 519, 1739, 24813, 8239, 883, 796, 3711, 27631, 8239, 7042, 321, 10339, 9890, 581, 343, 335, 610, 581, 343, 335, 1315, 581, 343, 335, 543, 581, 343, 335, 1315, 711, 581, 343, 335, 1315, 570, 1315, 674, 692, 3602, 581, 343, 335, 4564, 29491, 4082, 267, 570, 4564, 6936, 543, 674, 4564, 8771, 780, 1012, 8827, 7042, 2414, 6460, 519, 2016, 8239, 883, 922, 7222, 796, 3711, 27631, 8239, 267, 649, 2936, 519, 9551, 775, 543, 1997, 18356, 10148, 780, 2171, 723, 7042, 1892, 9717, 8239, 5161, 540, 519, 1739, 12427, 7042, 528, 2073, 543, 1109, 267, 711, 692, 1892, 9717, 8239, 5161, 540, 519, 1739, 1766, 1343, 7042, 307, 2073, 674, 692, 763, 10862, 1931, 568, 7042, 24867, 2073, 674, 264, 3436, 711, 3436, 543, 3436, 610, 692, 3602, 7042, 1892, 543, 11346, 568, 2451, 1997, 894, 454, 1892, 610, 11346, 568, 2451, 1997, 894, 692, 8794, 519, 9551, 775, 543, 1997, 18356, 3652, 267, 649, 2328, 519, 7222, 796, 3711, 27631, 8239, 607, 7042, 321, 10339, 9890, 581, 343, 335, 610, 631, 1315, 631, 692, 300, 9890, 631, 543, 715, 1315, 715, 692, 301, 9890, 711, 715, 1315, 717, 692, 294, 1109, 20681, 570, 1315, 674, 692, 4462, 3711, 27631, 18049, 692, 3036, 692, 321, 10339, 9890, 581, 343, 335, 610, 631, 1315, 631, 692, 300, 9890, 631, 543, 715, 1315, 715, 692, 301, 9890, 711, 715, 1315, 570, 1315, 674, 692, 4462, 3711, 27631, 18049, 692, 2414, 2744, 1732, 1620, 827, 23586, 883, 1133, 3711, 27631, 18049, 7042, 19400, 713, 11473, 17976, 692, 9202, 9137, 268, 28518, 25285, 9122, 2201, 9717, 18049, 692, 7476, 811, 4967, 543, 824, 1353, 1570, 540, 7869, 540, 14825, 1092, 543, 6156, 566, 780, 19400, 3381, 15872, 676, 9683, 938, 13334, 8756, 6258, 309, 573, 29222, 780, 1012, 28518, 25285, 9122, 2201, 9717, 18049, 7042, 2467, 616, 1079, 2409, 585, 10442, 519, 7215, 1759, 593, 2016, 8239, 7042, 272, 269, 14301, 513, 1612, 572, 3529, 454, 273, 269, 27588, 519, 3652, 585, 12427, 692, 2162, 6396, 268, 4905, 281, 1109, 19352, 532, 3474, 572, 10326, 7042, 1103, 713, 1505, 267, 1739, 3268, 616, 4553, 7042, 1892, 1284, 2721, 513, 3474, 572, 10326, 585, 519, 2016, 4082, 563, 1892, 1284, 6218, 519, 1612, 572, 3529, 547, 1205, 519, 2838, 1871, 540, 519, 4082, 780, 2162, 8571, 3724, 7042, 1892, 14301, 513, 1612, 572, 3529, 585, 1804, 7215, 568, 524, 13246, 727, 543, 942, 2921, 563, 1892, 1924, 267, 713, 1505, 3587, 2352, 547, 1246, 950, 519, 4082, 568, 1804, 780, 2162, 6396, 268, 6349, 281, 27588, 16390, 1280, 7358, 2209, 7042, 1103, 713, 1505, 267, 1739, 3268, 616, 4553, 7042, 1892, 1284, 6430, 519, 10862, 543, 1997, 18356, 540, 12427, 538, 519, 8239, 563, 1892, 1284, 2385, 1127, 1125, 519, 2016, 4082, 563, 1892, 1284, 6218, 519, 4082, 547, 1205, 519, 2838, 1871, 780, 1892, 901, 1505, 568, 2653, 547, 1246, 2436, 519, 4082, 568, 1507, 610, 1804, 563, 1892, 1924, 267, 713, 1505, 568, 9053, 780, 2162, 16390, 1280, 5463, 4575, 13405, 640, 2986, 7358, 2209, 7042, 2690, 519, 2016, 796, 3711, 27631, 8239, 10484, 1892, 634, 10862, 540, 12427, 568, 4956, 676, 10992, 519, 1377, 693, 799, 519, 2504, 568, 1459, 563, 1892, 634, 2362, 519, 1377, 540, 2504, 267, 519, 2539, 519, 10862, 540, 11346, 8659, 538, 621, 563, 1892, 634, 2539, 519, 1377, 540, 2504, 267, 519, 2362, 519, 10862, 540, 11346, 8659, 538, 621, 780, 2162, 7151, 7042, 13706, 519, 8239, 7042, 292, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 1315, 674, 692, 293, 1109, 20681, 674, 1107, 570, 1315, 570, 692, 307, 1109, 20681, 7329, 692, 2080, 10484, 1892, 7329, 814, 519, 5207, 10862, 780, 4433, 1550, 570, 1109, 20681, 7329, 568, 1459, 693, 519, 5377, 1034, 1377, 2020, 1892, 1535, 543, 1341, 12427, 723, 519, 2547, 10862, 780, 4433, 1550, 661, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 616, 1459, 693, 519, 1283, 1034, 1377, 2020, 1892, 1535, 543, 1341, 12427, 723, 519, 1482, 10862, 780, 4433, 1550, 661, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 616, 1459, 693, 519, 1482, 1377, 2020, 1892, 1107, 11346, 814, 2362, 10862, 982, 1535, 543, 1341, 855, 14758, 10862, 982, 7329, 780, 4433, 1550, 674, 1109, 20681, 674, 1107, 570, 568, 1459, 693, 519, 1647, 1377, 2020, 3383, 267, 519, 10862, 1931, 568, 7042, 573, 3436, 630, 1535, 2073, 1341, 1109, 2020, 2162, 16390, 1280, 5463, 4575, 4889, 18356, 2986, 7358, 2209, 7042, 2690, 519, 2016, 796, 3711, 27631, 8239, 10484, 1892, 634, 1997, 18356, 540, 12427, 568, 4956, 676, 10992, 519, 7392, 2986, 1234, 15479, 542, 538, 519, 2504, 563, 1892, 1403, 519, 2504, 814, 2451, 16571, 542, 267, 1287, 519, 11346, 568, 2451, 1997, 894, 563, 1892, 1403, 519, 2504, 814, 1318, 16571, 542, 267, 1287, 519, 11346, 568, 1318, 1997, 894, 563, 1892, 1403, 519, 2504, 814, 1312, 2451, 543, 1318, 16571, 542, 267, 1287, 519, 11346, 568, 9444, 2451, 1997, 894, 6862, 1318, 1997, 894, 780, 2162, 7151, 7042, 13706, 519, 8239, 7042, 292, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 1315, 674, 692, 293, 1109, 20681, 674, 1107, 674, 1315, 570, 692, 307, 1109, 20681, 7329, 692, 2080, 10484, 1892, 1535, 11346, 568, 2451, 1997, 894, 780, 4433, 1550, 661, 1109, 20681, 661, 1535, 674, 814, 2451, 16571, 542, 538, 621, 2020, 1892, 1341, 11346, 568, 1318, 1997, 894, 780, 4433, 1550, 661, 1109, 20681, 674, 1341, 661, 814, 1318, 16571, 542, 538, 621, 2020, 1892, 674, 1107, 674, 568, 9444, 2451, 1997, 894, 6862, 1318, 1997, 894, 780, 4433, 1550, 674, 9890, 674, 1107, 674, 814, 1312, 2451, 543, 1318, 16571, 542, 538, 621, 2020, 1012, 9046, 268, 4905, 1384, 13706, 519, 2016, 8239, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 570, 692, 307, 1109, 20681, 674, 1535, 570, 1315, 674, 692, 293, 1109, 20681, 1109, 573, 692, 24066, 10663, 519, 1739, 4082, 538, 13076, 609, 519, 2016, 8239, 7042, 273, 1341, 476, 274, 1535, 476, 276, 1535, 476, 277, 1341, 476, 273, 692, 1012, 8827, 7042, 2162, 6396, 268, 4905, 1384, 1892, 2913, 721, 2721, 513, 1612, 572, 3529, 585, 519, 2016, 4082, 563, 1892, 28518, 519, 1612, 572, 3529, 786, 2132, 519, 2838, 1871, 540, 519, 4082, 780, 763, 1612, 572, 3529, 585, 519, 2016, 4082, 568, 7042, 4002, 10442, 713, 1612, 572, 3529, 267, 649, 1205, 519, 1871, 815, 476, 11463, 780, 2162, 6396, 268, 6349, 1384, 763, 10862, 1931, 543, 1997, 18356, 540, 12427, 593, 519, 4493, 540, 2016, 8239, 568, 7042, 30915, 1109, 285, 1109, 266, 692, 3602, 7042, 1892, 1535, 11346, 568, 1318, 1997, 894, 563, 1892, 1341, 11346, 568, 2451, 1997, 894, 780, 3086, 267, 649, 2385, 1127, 1125, 519, 2016, 4082, 1759, 593, 519, 9551, 775, 543, 1997, 18356, 540, 12427, 607, 7042, 263, 476, 273, 1341, 630, 476, 274, 1535, 630, 476, 276, 1535, 476, 277, 3738, 3738, 3738, 1341, 476, 273, 692, 3086, 267, 649, 6218, 519, 2385, 1127, 1242, 4082, 607, 7042, 284, 630, 476, 273, 1341, 630, 476, 274, 1535, 630, 476, 276, 1535, 476, 277, 3738, 3738, 3738, 1341, 476, 273, 692, 284, 630, 476, 273, 1341, 630, 476, 274, 1535, 476, 1789, 3738, 3738, 1341, 476, 273, 692, 284, 630, 476, 273, 1341, 476, 3445, 3738, 1341, 476, 273, 692, 284, 476, 10844, 1341, 476, 273, 692, 284, 476, 11463, 692, 1012, 9046, 268, 6349, 1384, 13706, 519, 2016, 8239, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 661, 1107, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1535, 674, 1315, 570, 1109, 383, 371, 674, 1315, 674, 692, 293, 1109, 20681, 717, 1109, 16378, 495, 674, 1315, 717, 692, 294, 1109, 20681, 7329, 692, 24066, 10663, 519, 1739, 4082, 538, 13076, 609, 519, 2016, 8239, 7042, 273, 1535, 476, 272, 1341, 476, 275, 1109, 16378, 495, 476, 273, 1109, 16378, 495, 476, 272, 1535, 476, 272, 1341, 476, 274, 692, 1012, 8827, 7042, 2162, 6396, 268, 4905, 1384, 1892, 2913, 721, 2721, 513, 1612, 572, 3529, 585, 519, 2016, 4082, 563, 1892, 28518, 519, 1612, 572, 3529, 786, 2132, 519, 2838, 1871, 540, 519, 4082, 780, 763, 1612, 572, 3529, 585, 519, 2016, 4082, 568, 7042, 4002, 10442, 713, 1612, 572, 3529, 267, 649, 1205, 519, 1871, 815, 476, 2641, 780, 2162, 6396, 268, 6349, 1384, 763, 10862, 1931, 543, 1997, 18356, 540, 12427, 593, 519, 4493, 540, 2016, 8239, 568, 7042, 573, 3436, 630, 1535, 383, 371, 3738, 3436, 630, 1341, 2073, 25589, 3602, 7042, 1892, 1341, 2073, 1107, 2073, 1535, 2073, 1109, 383, 371, 12427, 616, 2451, 1997, 894, 563, 1892, 20875, 11346, 568, 1318, 1997, 894, 692, 3086, 267, 649, 2385, 1127, 1125, 519, 2016, 4082, 1759, 593, 519, 9551, 775, 543, 1997, 18356, 540, 12427, 607, 7042, 263, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 630, 476, 275, 1109, 16378, 495, 630, 476, 273, 1109, 16378, 495, 476, 272, 3738, 3738, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 3086, 267, 649, 6218, 519, 2385, 1127, 1242, 4082, 607, 7042, 284, 630, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 630, 476, 275, 1109, 16378, 495, 630, 476, 273, 1109, 16378, 495, 476, 272, 3738, 3738, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 284, 1109, 263, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 630, 476, 275, 1109, 16378, 495, 476, 273, 3738, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 284, 630, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 476, 1626, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 284, 630, 476, 273, 1341, 630, 476, 1626, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 263, 476, 273, 1341, 476, 1626, 3738, 1341, 476, 274, 692, 284, 476, 1240, 1341, 476, 274, 692, 284, 476, 2641, 692, 1012, 9046, 268, 6734, 1384, 13706, 519, 2016, 8239, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 661, 1107, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1535, 674, 1315, 570, 1109, 383, 371, 674, 1315, 674, 692, 293, 1109, 20681, 674, 20875, 717, 1315, 717, 692, 294, 1109, 20681, 7329, 692, 24066, 10663, 519, 1739, 4082, 538, 13076, 609, 519, 2016, 8239, 7042, 273, 20875, 476, 272, 20875, 476, 275, 1341, 476, 274, 1535, 476, 276, 1535, 476, 277, 20875, 476, 272, 1341, 476, 273, 20875, 476, 274, 692, 1012, 8827, 7042, 763, 10862, 1931, 543, 1997, 18356, 540, 12427, 593, 519, 4493, 540, 2016, 8239, 568, 7042, 573, 3436, 630, 1535, 383, 371, 3738, 3436, 630, 1341, 2073, 25589, 3602, 1341, 2073, 1107, 2073, 1535, 2073, 1109, 383, 371, 267, 1109, 16378, 495, 12427, 616, 2451, 1997, 894, 780, 3086, 267, 649, 2385, 1127, 1125, 519, 2016, 4082, 1759, 593, 519, 9551, 775, 543, 1997, 18356, 540, 12427, 607, 7042, 263, 630, 630, 476, 273, 20875, 476, 272, 3738, 20875, 476, 275, 3738, 1341, 630, 630, 476, 274, 1535, 476, 276, 3738, 1535 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1 ]
[ 25113, 538, 13243, 585, 519, 2556, 9276, 540, 519, 25113, 563, 2412, 269, 594, 1118, 513, 21496, 2123, 9886, 540, 19939, 8536, 8988, 1352, 330, 1564, 856, 540, 519, 10424, 19614, 267, 689, 3617, 4025, 563, 6078, 269, 2353, 519, 3606, 7482, 602, 519, 8387, 1705, 711, 1688, 936, 607, 789, 1185, 2944, 538, 519, 1101, 1296, 267, 4927, 8754, 1721, 628, 581, 19942, 936, 585, 519, 2533, 540, 519, 11454, 563, 5655, 269, 5047, 267, 519, 546, 1132, 540, 2947, 8536, 8988, 1352, 330, 1564, 602, 1031, 547, 581, 3144, 689, 519, 8907, 540, 519, 25113, 1169, 1032, 4927, 581, 666, 576, 1194, 267, 2094, 891, 7482, 4866, 547, 519, 20577, 945, 1685, 519, 2533, 563, 6246, 269, 5808, 1197, 3217, 9675, 538, 519, 11454, 540, 13243, 610, 538, 1022, 540, 922, 3348, 3307, 338, 267, 1317, 540, 2724, 646, 7640, 525, 519, 4622, 267, 610, 1317, 540, 1022, 824, 7963, 267, 4927, 581, 5950, 267, 1927, 609, 782, 519, 5370, 646, 19299, 538, 1250, 10806, 563, 4510, 269, 634, 1942, 540, 31811, 543, 19620, 519, 3889, 540, 519, 25113, 4927, 581, 4988, 856, 540, 519, 10424, 8907, 563, 3393, 269, 19452, 519, 1942, 540, 2679, 519, 6821, 540, 13243, 543, 6830, 4328, 621, 782, 1472, 267, 543, 540, 2679, 6821, 538, 7225, 20660, 267, 4927, 581, 24603, 689, 519, 10424, 8907, 4799, 5379, 269, 1879, 22189, 543, 519, 1004, 4862, 891, 1913, 267, 789, 9444, 5156, 6862, 7608, 873, 267, 585, 789, 15422, 519, 1390, 9409, 602, 5915, 564, 686, 639, 1185, 2944, 538, 5840, 267, 543, 875, 15319, 569, 646, 1185, 3413, 21719, 873, 563, 5325, 269, 1358, 4061, 4956, 538, 3870, 540, 12138, 267, 585, 646, 1185, 1044, 519, 1101, 547, 2232, 873, 4708, 2406, 267, 543, 789, 7283, 1010, 16167, 585, 519, 1964, 540, 1010, 1272, 563, 4366, 269, 3751, 12138, 10356, 1927, 513, 1804, 7952, 543, 1958, 2086, 539, 6587, 5915, 564, 686, 639, 563, 5392, 269, 634, 1079, 15438, 8678, 6370, 267, 543, 950, 519, 7952, 540, 5915, 564, 686, 639, 19679, 267, 12138, 22002, 1864, 267, 543, 936, 335, 10062, 1010, 7980, 563, 2004, 269, 1261, 20399, 519, 6370, 2182, 2394, 23863, 267, 543, 5915, 564, 686, 639, 8593, 602, 1554, 563, 7906, 269, 12138, 2366, 5605, 817, 611, 832, 547, 623, 1729, 548, 3240, 267, 4622, 540, 5527, 267, 609, 713, 5048, 912, 7367, 269, 834, 3086, 602, 594, 723, 8120, 547, 1250, 7706, 267, 3144, 1250, 10160, 593, 519, 17599, 540, 1250, 18971, 267, 543, 3964, 1250, 4341, 676, 11493, 5915, 564, 686, 639, 543, 11543, 1852, 540, 1250, 2197, 734, 454, 7871, 269, 585, 594, 7722, 1864, 538, 6370, 267, 17204, 1864, 543, 1010, 7952, 267, 543, 16626, 519, 10424, 17599, 734, 454, 7918, 269, 1577, 721, 1631, 3715, 11505, 609, 1142, 824, 269, 12315, 803, 707, 8250, 585, 1250, 7385, 282, 543, 607, 707, 5067, 2987, 25237, 267, 594, 786, 2285, 547, 596, 543, 547, 1200, 13344, 17709, 540, 596, 4799, 4649, 269, 3751, 623, 1729, 548, 3240, 12943, 538, 891, 1913, 281, 834, 31917, 519, 1554, 593, 799, 596, 8120, 547, 519, 2244, 540, 707, 18971, 543, 3576, 707, 10160, 593, 741, 10424, 17599, 2336, 6321, 269, 594, 786, 798, 585, 596, 1018, 596, 723, 2854, 282, 855, 2743, 803, 538, 623, 1729, 548, 2742, 529, 267, 865, 602, 649, 949, 1294, 1142, 824, 267, 543, 594, 786, 1831, 707, 4651, 2987, 25237, 607, 596, 723, 6069, 4799, 6872, 269, 1924, 623, 1729, 548, 3240, 609, 1010, 8250, 7581, 641, 21358, 1305, 856, 689, 5527, 543, 3357, 547, 623, 1729, 548, 2742, 529, 538, 519, 1032, 835, 4627, 543, 24239, 26690, 563, 6812, 269, 1703, 3751, 12138, 1558, 1864, 267, 543, 623, 1729, 548, 3240, 5795, 1864, 1010, 8250, 7581, 641, 21358, 538, 7365, 269, 4256, 16806, 729, 9976, 693, 623, 1729, 548, 2742, 529, 609, 1390, 26672, 528, 2687, 547, 519, 2688, 540, 15438, 563, 6795, 269, 3751, 12138, 849, 5206, 547, 22189, 547, 2097, 543, 2743, 1864, 563, 2568, 269, 1924, 646, 4682, 609, 533, 20234, 547, 623, 1729, 548, 2742, 529, 267, 1141, 646, 1558, 519, 1079, 15438, 543, 5795, 873, 543, 741, 2828, 8988, 543, 4154, 543, 1082, 13344, 543, 3976, 4465, 741, 3870, 563, 8618, 269, 2368, 11641, 559, 550, 25232, 267, 1098, 28698, 832, 540, 519, 1876, 267, 8087, 1996, 1864, 547, 934, 2224, 1864, 267, 855, 519, 4622, 6976, 1100, 646, 539, 547, 873, 563, 7830, 269, 1261, 10288, 22189, 547, 581, 2820, 6479, 540, 1010, 8723, 23157, 543, 547, 581, 8052, 1117, 538, 10424, 13711, 282, 543, 865, 621, 729, 2944, 563, 8287, 269, 634, 4622, 849, 1185, 1864, 27206, 693, 1010, 2427, 269, 1261, 1767, 547, 1010, 4012, 626, 6233, 281, 834, 7883, 609, 1864, 547, 519, 4099, 540, 519, 2749, 543, 1118, 513, 605, 17474, 602, 1100, 835, 568, 547, 3142, 10997, 1996, 1864, 593, 1022, 12406, 610, 581, 13542, 727, 547, 1864, 538, 1022, 1259, 4799, 5038, 269, 1879, 1010, 934, 22852, 4718, 519, 8956, 6976, 547, 1864, 538, 519, 605, 17474, 267, 543, 519, 13711, 609, 799, 646, 729, 8052, 1117, 267, 789, 782, 19679, 563, 4792, 269, 634, 4622, 849, 28165, 1864, 676, 1297, 532, 1864, 1851, 1010, 12751, 14886, 543, 1500, 1864, 4108, 19524, 543, 17294, 540, 519, 11662, 563, 5780, 269, 1924, 22189, 8120, 538, 4708, 543, 8788, 547, 13243, 563, 6858, 269, 769, 519, 1032, 835, 4627, 543, 24239, 19317, 267, 5915, 564, 686, 639, 267, 5067, 540, 5915, 564, 686, 639, 267, 3357, 689, 11511, 974, 547, 519, 2244, 540, 1010, 18971, 563, 6924, 269, 1879, 3751, 12138, 4862, 540, 621, 646, 729, 7494, 30223, 267, 543, 8120, 547, 4165, 1470, 577, 563, 7597, 269, 5915, 564, 686, 639, 12912, 7442, 3326, 517, 3780, 17294, 540, 3213, 7062, 344, 6319, 269, 11109, 10356, 513, 1804, 7952, 267, 2561, 3326, 517, 3780, 8486, 3481, 1010, 3786, 693, 11918, 11844, 269, 3245, 972, 646, 2366, 713, 5048, 547, 22189, 519, 1164, 17308, 912, 3583, 269, 834, 2791, 616, 519, 1152, 835, 945, 759, 1235, 721, 269, 594, 993, 561, 13774, 1117, 693, 543, 2322, 547, 17847, 593, 707, 2272, 269, 4208, 616, 596, 18071, 1379, 1996, 721, 538, 519, 10239, 888, 10170, 269, 1403, 596, 723, 6015, 538, 707, 4229, 267, 2097, 1524, 1631, 547, 721, 538, 519, 10750, 267, 543, 1577, 721, 1449, 1142, 824, 781, 4222, 972, 282, 519, 2749, 4229, 616, 593, 1250, 2427, 563, 7761, 269, 769, 638, 790, 543, 1451, 945, 594, 993, 543, 945, 519, 1866, 616, 945, 616, 4543, 803, 269, 9093, 2161, 602, 596, 3112, 1118, 513, 1796, 1996, 721, 1317, 707, 18971, 941, 7466, 2322, 547, 8184, 538, 741, 1378, 2244, 563, 10463, 269, 3767, 596, 1932, 786, 581, 8572, 547, 16641, 938, 29816, 543, 971, 513, 3196, 607, 713, 538, 519, 10750, 267, 1141, 972, 568, 711, 513, 6149, 610, 513, 890, 321, 1076, 610, 513, 1747, 547, 25176, 4799, 10619, 269, 1879, 22189, 4862, 519, 5048, 540, 7442, 3326, 517, 3780, 267, 646, 729, 678, 748, 539, 269, 19805, 4557, 8536, 2367, 267, 646, 1305, 856, 689, 13243, 267, 543, 17363, 1010, 7015, 8678, 1864, 547, 948, 1864, 563, 4037, 269, 1261, 8486, 3481, 3786, 2282, 808, 641, 11985, 267, 855, 519, 2367, 538, 519, 2749, 9505, 1864, 856, 1317, 7442, 3326, 517, 3780, 1185, 513, 575, 28207, 972, 269, 1879, 519, 7642, 14850, 773, 3022, 621, 2676, 10602, 269, 519, 2367, 540, 519, 2749, 2968, 12922, 543, 8118, 519, 19235, 267, 543, 865, 22189, 3576, 15896, 540, 808, 641, 11985, 563, 6507, 269, 1879, 7442, 3326, 517, 3780, 4862, 540, 621, 267, 646, 16668, 909, 1614, 8536, 7504, 5443, 543, 606, 7961, 10179, 762, 26462, 269, 1261, 22415, 1117, 593, 10897, 582, 639, 607, 1498, 646, 941, 2469, 593, 998, 519, 2197, 267, 855, 693, 519, 1482, 942, 646, 4359, 883, 519, 10750, 267, 1317, 646, 1185, 971, 513, 1804, 1297, 540, 7504, 5443, 547, 7048, 593, 563, 4281, 269, 22189, 4553, 1864, 547, 10897, 582, 639, 267, 543, 789, 7722, 538, 6370, 563, 8064, 269, 7442, 3326, 517, 3780, 267, 2705, 267, 1185, 2451, 513, 8536, 29816, 538, 15720, 3297, 873, 563, 3199, 269, 1879, 22189, 4362, 602, 972, 729, 606, 5605, 2313, 3297, 1864, 267, 1010, 7952, 729, 11303, 269, 3245, 6640, 2394, 10543, 789, 1397, 1229, 1010, 2367, 609, 21985, 563, 10037, 269, 1809, 1010, 2367, 4371, 741, 2666, 267, 607, 22189, 1185, 26017, 267, 6466, 519, 10546, 781, 9640, 2968, 13110, 856, 563, 11025, 269, 1879, 519, 7504, 5443, 941, 25356, 267, 17363, 16091, 519, 943, 23750, 343, 267, 16397, 621, 543, 2322, 621, 547, 8184, 563, 10695, 269, 634, 7504, 5443, 1932, 941, 16559, 936, 519, 10750, 269, 634, 10546, 19679, 547, 10897, 582, 639, 543, 9411, 21861, 1673, 6782, 267, 519, 11454, 540, 741, 31561, 267, 547, 4688, 2933, 563, 10019, 269, 1809, 22189, 14616, 543, 726, 1495, 1229, 10897, 582, 639, 609, 922, 15231, 10034, 267, 543, 10032, 676, 3595, 1312, 519, 11454, 540, 667, 6782, 543, 519, 2367, 945, 1185, 3144, 9675, 538, 621, 563, 5952, 269, 8409, 945, 8593, 676, 519, 18156, 267, 1927, 609, 1346, 945, 941, 14616, 9800, 267, 3357, 547, 827, 5216, 8536, 2367, 563, 10436, 269, 3973, 22189, 2451, 972, 543, 8486, 3481, 1010, 3786, 693, 12891, 32039, 517, 267, 543, 519, 1004, 540, 602, 2749, 3357, 856, 547, 2743, 1864, 609, 1390, 533, 20234, 563, 9262, 269, 1261, 543, 1010, 2367, 1287, 8120, 547, 13243, 267, 17078, 523, 609, 1454, 18849, 344, 563, 6434, 269, 1879, 3751, 12138, 4862, 540, 891, 2621, 267, 646, 11063, 539, 1007, 26549, 547, 22189, 563, 8660, 269, 1261, 2366, 1864, 513, 4154, 31617, 267, 971, 607, 568, 2356, 2016, 547, 3751, 781, 918, 1231, 5443, 282, 646, 849, 5795, 1864, 661, 330, 1258, 543, 782, 922, 8513, 607, 513, 15896, 269, 0, 2467, 616, 930, 2035, 593, 799, 938, 7239, 616, 1759, 2221, 267, 971, 607, 9111, 267, 1480, 2924, 543, 5191, 269, 4675, 816, 832, 540, 891, 2418, 2196, 519, 1981, 540, 1373, 28715, 676, 519, 3486, 2146, 1247, 27013, 543, 824, 15156, 616, 2693, 547, 4309, 7028, 782, 936, 519, 1158, 563, 763, 7046, 14559, 2494, 28685, 334, 568, 513, 1434, 3498, 540, 1018, 519, 2413, 1158, 814, 6913, 865, 2484, 5196, 519, 2804, 7706, 269, 898, 5956, 609, 930, 24185, 689, 634, 17629, 16672, 540, 5274, 7126, 267, 7550, 538, 476, 3707, 279, 693, 2136, 8315, 267, 9870, 2055, 827, 519, 13597, 540, 938, 1699, 13075, 1062, 563, 268, 3502, 24339, 5597, 7307, 281, 2724, 568, 513, 1907, 16764, 2115, 267, 855, 4867, 621, 779, 7307, 676, 4357, 8492, 607, 789, 6430, 945, 666, 1118, 12029, 815, 1376, 3785, 563, 268, 8779, 569, 281, 32225, 540, 2724, 616, 8078, 539, 547, 2628, 519, 7623, 1719, 593, 1283, 540, 519, 9030, 1247, 12434, 979, 883, 1152, 22836, 540, 513, 1906, 3946, 563, 268, 670, 13635, 762, 281, 581, 31600, 540, 2724, 666, 11198, 741, 2724, 607, 1279, 607, 789, 899, 267, 24715, 908, 922, 10009, 543, 21898, 532, 1346, 945, 616, 2731, 538, 991, 585, 621, 563, 268, 1133, 325, 1515, 281, 519, 1360, 6228, 540, 7623, 1719, 4679, 14547, 1004, 779, 10697, 693, 519, 15093, 540, 519, 5318, 5354, 540, 519, 4057, 263, 5408, 17394, 585, 3877, 994, 268, 24296, 20980, 281, 938, 1699, 13075, 1062, 568, 30758, 547, 979, 22625, 19692, 610, 2663, 1317, 621, 3340, 606, 12825, 2208, 11014, 263, 5408, 16481, 573, 28593, 1103, 2110, 267, 938, 13075, 1062, 568, 3768, 655, 7095, 543, 1281, 711, 1491, 1480, 2924, 610, 5191, 883, 2272, 563, 2005, 568, 1271, 585, 721, 547, 3314, 602, 519, 13075, 1062, 568, 711, 513, 2067, 1876, 855, 513, 15007, 799, 729, 543, 1869, 666, 581, 11231, 585, 1480, 2115, 269, 4475, 649, 1058, 23590, 621, 952, 649, 1616, 856, 1797, 540, 5385, 547, 4196, 585, 938, 2418, 2507, 0, 7052, 30995, 8923, 2638, 707, 1126, 781, 1544, 1676, 1169, 1554, 267, 938, 8430, 786, 1689, 689, 942, 547, 942, 563, 25582, 540, 5181, 476, 275, 268, 279, 454, 31388, 910, 8534, 4303, 13638, 910, 21942, 7689, 476, 273, 269, 273, 1315, 4825, 26421, 3817, 476, 5392, 268, 2004, 30498, 589, 32390, 267, 290, 267, 291, 267, 543, 661, 13723, 910, 21942, 4569, 7689, 476, 273, 269, 274, 1315, 4825, 26421, 3817, 476, 5392, 268, 2004, 30498, 589, 32390 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4357, 9520, 563, 276, 269, 5004, 16179, 8083, 910, 22312, 540, 2229, 7221, 547, 4540, 9946, 945, 1831, 3743, 585, 5665, 873, 607, 4357, 4213, 780, 289, 269, 21929, 324, 19992, 17658, 26494, 24727, 692, 763, 3119, 4128, 3297, 12561, 3051, 26494, 4507, 1331, 1384, 272, 269, 21252, 26094, 1107, 17721, 3906, 1419, 7500, 811, 7561, 1813, 547, 8013, 12503, 543, 15314, 5532, 547, 7443, 12366, 1436, 563, 273, 269, 8779, 22159, 1107, 26269, 7512, 1942, 9806, 543, 5499, 2853, 1851, 14273, 563, 274, 269, 16743, 8871, 10056, 1107, 18964, 20835, 543, 1981, 23824, 838, 2720, 6639, 7760, 543, 4824, 2472, 4882, 26236, 563, 275, 269, 10055, 1464, 28389, 618, 1107, 10369, 9015, 4229, 10909, 547, 4431, 16425, 547, 7082, 7569, 267, 2810, 11413, 543, 30506, 780, 7656, 269, 8865, 5530, 281, 1977, 5948, 540, 14135, 781, 2155, 13579, 894, 15638, 692, 2414, 9414, 519, 1764, 540, 3051, 26494, 4507, 593, 1857, 2533, 543, 2804, 1646, 267, 2015, 519, 1909, 540, 4357, 11051, 538, 12180, 2621, 899, 519, 589, 3008, 781, 16033, 725, 269, 13018, 267, 713, 3296, 12116, 1614, 3344, 281, 2146, 3377, 8989, 267, 26988, 960, 9525, 267, 543, 1072, 1299, 9716, 14074, 780, 288, 269, 7991, 5240, 27561, 692, 1103, 2221, 781, 3059, 2085, 267, 1082, 2199, 14786, 723, 5185, 2883, 9620, 3056, 930, 547, 24044, 4238, 7357, 269, 1306, 971, 267, 18758, 12205, 899, 519, 589, 3008, 1404, 1898, 5107, 538, 11423, 1344, 10616, 2451, 3297, 269, 1717, 267, 950, 891, 3252, 616, 16080, 712, 1027, 547, 5010, 21101, 610, 28479, 19188, 267, 2152, 949, 8451, 7282, 4760, 2065, 8699, 543, 6111, 269, 1280, 3236, 267, 2984, 1522, 581, 6766, 676, 6994, 23924, 610, 13384, 832, 2864, 982, 6662, 21107, 4441, 269, 3958, 267, 16126, 593, 3593, 24378, 1543, 1223, 1291, 547, 25749, 10825, 31250, 780, 289, 269, 4077, 3386, 4518, 30880, 692, 13142, 885, 849, 4096, 8185, 593, 12352, 609, 4357, 3906, 547, 14892, 741, 13485, 3927, 269, 1452, 21769, 5512, 18440, 909, 7341, 543, 8757, 9962, 9458, 269, 11048, 267, 1761, 19363, 2291, 952, 971, 3347, 14207, 7115, 610, 1711, 7526, 540, 1719, 269, 5047, 267, 6528, 640, 4145, 8451, 950, 1152, 1978, 2950, 4324, 689, 6098, 24960, 545, 18129, 780, 290, 269, 2657, 1299, 25682, 3038, 2888, 692, 7661, 267, 3051, 520, 1242, 3782, 1949, 666, 1267, 538, 13103, 1063, 1346, 945, 666, 6488, 1164, 7779, 1416, 543, 1346, 13461, 9003, 593, 1857, 3681, 269, 2755, 6735, 11479, 1524, 3790, 543, 10607, 2298, 538, 3069, 267, 4641, 19267, 513, 1114, 4605, 269, 3933, 641, 565, 625, 666, 1106, 267, 6028, 6800, 7925, 547, 3902, 575, 537, 3101, 543, 1016, 1706, 2126, 269, 5015, 267, 2043, 8506, 7463, 2564, 3007, 949, 3068, 3908, 8244, 1813, 547, 4199, 14305, 3664, 1500, 1759, 593, 12434, 3079, 540, 991, 780, 4353, 269, 10390, 692, 2750, 600, 1456, 519, 1977, 5948, 540, 14135, 781, 3646, 547, 4497, 922, 2818, 998, 1585, 2238, 8711, 1312, 519, 2640, 543, 2591, 15054, 676, 3051, 26494, 4507, 269, 2201, 835, 1688, 267, 5698, 609, 4357, 11051, 11942, 5876, 267, 4398, 267, 543, 23793, 269, 30027, 3585, 267, 2705, 267, 4220, 10836, 3823, 12477, 267, 9698, 267, 543, 7145, 269, 4475, 267, 14519, 1590, 5402, 3666, 12721, 4690, 950, 14045, 2436, 610, 711, 547, 9772, 3051, 26494, 3800, 269, 11086, 267, 5483, 5079, 2154, 9488, 7156, 540, 782, 2188, 3238, 267, 4180, 6099, 4093, 585, 2486, 693, 1804, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4456, 18317, 2975, 3198, 6789, 590, 744, 595, 594, 9569, 744, 674, 590, 5442, 294, 4338, 744, 3918, 454, 13563, 5948, 32465, 476, 272, 268, 278, 16588, 5494, 870, 338, 5541, 32465, 476, 274, 10911, 4753, 1299, 6355, 5541, 2807, 1862, 476, 279, 7991, 5240, 27401, 1862, 476, 280, 268, 1556, 13488, 9982, 5541, 476, 1321, 268, 1724, 29179, 7982, 9982, 476, 1691, 268, 866, 12389, 538, 14135, 32465, 476, 736, 268, 2641, 2657, 1299, 25682, 27401, 476, 2420, 268, 2537, 1548, 779, 19732, 2287, 5541, 907, 476, 2537, 454, 26322, 5240, 476, 280, 268, 1556, 454, 29670, 538, 14135, 476, 736, 268, 2641, 454, 10890, 1299, 25682, 476, 2420, 268, 2537, 454, 294, 1516, 7982, 476, 1691, 268, 866, 454, 8333, 13579, 908, 938, 32445, 593, 27851, 4303, 454, 4692, 1406, 5192, 5851, 585, 21175, 286, 7756, 18467, 547, 18270, 622, 454, 2690, 519, 8866, 5808, 5620, 18421, 281, 14520, 18467, 547, 13773, 16140, 539, 454, 1692, 547, 5192, 12833, 9407, 538, 4077, 3386, 4518, 538, 14135, 454, 300, 5746, 630, 303, 264, 476, 3192, 270, 6734, 270, 1001, 278, 454, 8702, 7982, 9919, 30503, 1674, 476, 1001, 278, 1635, 8861, 9546, 8725, 454, 20124, 676, 15576, 773, 645, 664, 525, 454, 603, 1007, 3885, 21945, 538, 14135, 543, 1866, 13059, 689, 519, 4832, 9702, 267, 519, 1977, 5948, 540, 14135, 779, 630, 288, 3008, 264, 5993, 8080, 7982, 9919, 30503, 1674, 729, 519, 3501, 1259, 547, 1921, 936, 606, 12784, 540, 1187, 267, 1426, 543, 11505, 269, 769, 8956, 540, 589, 3008, 685, 1298, 27812, 16683, 2437, 780, 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, 5398, 8889, 1315, 9483, 8889, 1315, 17658, 26494, 8889, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2260, 952, 9642, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 13725, 1109, 19896, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 13725, 1109, 1730, 15615, 319, 2387, 332, 815, 562, 282, 2387, 2387, 13725, 1109, 1730, 15615, 319, 2387, 337, 815, 630, 332, 1315, 630, 332, 910, 476, 272, 4297, 282, 2387, 2387, 13725, 1109, 1730, 15615, 319, 2387, 326, 815, 630, 1730, 15615, 1730, 7565, 323, 2608, 630, 1730, 15615, 1730, 264, 6912, 325, 16868, 4297, 282, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1820, 835, 3693, 547, 581, 476, 271, 2387, 2387, 13725, 1109, 1730, 322, 719, 24177, 12181, 257, 271, 834, 1730, 282, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1820, 630, 333, 268, 272, 264, 2609, 607, 1535, 328, 6508, 2387, 2387, 13725, 1109, 19896, 689, 519, 4542, 2387, 2387, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 272, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 24748, 1109, 1730, 322, 719, 24177, 12181, 335, 578, 1730, 8987, 272, 267, 1775, 264, 2608, 575, 24177, 12181, 257, 834, 1730, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 13725, 1109, 1730, 322, 719, 24177, 1439, 331, 282, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 2260, 9920, 1982, 547, 1449, 519, 1657, 1599, 2387, 2387, 842, 319, 2387, 10852, 3890, 2387, 2387, 346, 2387, 2387, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 476, 274, 267, 546, 815, 476, 274, 282, 2387, 2387, 6892, 1109, 1730, 338, 7685, 3799, 267, 546, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 8873, 319, 2387, 271, 282, 2387, 2387, 348, 2387, 692, 1012, 10084, 692, 2387, 2260, 10084, 1982, 547, 1265, 562, 2609, 2387, 2387, 5814, 319, 2387, 329, 6072, 269, 583, 559, 30818, 282, 2387, 2387, 5814, 319, 2387, 329, 6072, 7456, 836, 30818, 282, 2387, 2387, 1109, 319, 1109, 2387, 21504, 319, 2387, 5035, 319, 2387, 294, 325, 294, 2715, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 1599, 547, 1820, 3126, 540, 562, 2609, 2387, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 338, 7685, 263, 1730, 842, 319, 2387, 333, 267, 12181, 842, 319, 2387, 323, 264, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 476, 271, 1287, 1820, 782, 2387, 2387, 13725, 1109, 19896, 2609, 607, 476, 271, 269, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 323, 2652, 12181, 271, 1730, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 562, 476, 271, 781, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 271, 1730, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2387, 2387, 7673, 13725, 1109, 1730, 21902, 269, 719, 31428, 263, 1730, 257, 271, 834, 1730, 5148, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 15238, 3890, 282, 2387, 2387, 24748, 1109, 1730, 8873, 1730, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 1256, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 333, 4939, 12181, 273, 319, 2387, 2525, 12181, 271, 1730, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 910, 16256, 267, 1341, 16256, 267, 910, 16256, 267, 1341, 16256, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 7673, 13725, 1109, 1730, 21902, 269, 719, 31428, 263, 13043, 4877, 578, 8987, 1730, 272, 1730, 267, 1775, 264, 2608, 546, 1341, 12181, 257, 834, 1730, 5148, 2387, 2387, 24748, 1109, 31299, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 15238, 3890, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 13725, 1109, 1730, 12828, 319, 2387, 2260, 952, 9642, 2387, 2387, 13725, 1109, 1730, 346, 2387, 2387, 24748, 1109, 19896, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 332, 815, 562, 282, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 337, 815, 630, 332, 1315, 630, 332, 910, 12181, 272, 1730, 4297, 282, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 326, 815, 630, 1730, 15615, 1730, 7565, 323, 2608, 630, 1730, 15615, 1730, 7565, 13043, 28460, 16868, 4297, 5148, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 835, 3693, 547, 581, 476, 271, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 263, 1730, 257, 271, 834, 1730, 5148, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 630, 333, 268, 272, 264, 2609, 607, 1535, 328, 2387, 2387, 24748, 1109, 19896, 6508, 689, 519, 4542, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 7673, 13725, 1109, 1730, 21902, 269, 719, 31428, 263, 13043, 4877, 578, 8987, 1730, 272, 1730, 267, 1775, 264, 2608, 575, 1341, 12181, 257, 834, 1730, 5148, 2387, 2387, 24748, 1109, 31299, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 15238, 3890, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 9920, 1599, 2387, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26571, 314, 8079, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 13725, 1109, 1730, 842, 319, 2387, 333, 815, 12181, 274, 1730, 267, 546, 815, 12181, 274, 1730, 282, 2387, 2387, 13725, 1109, 1730, 338, 7685, 3799, 267, 546, 5148, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 270, 265, 901, 3009, 568, 8329, 676, 590, 26196, 1744, 4157, 5055, 2608, 270, 26384, 1012, 5124, 274, 692, 2387, 258, 5124, 1982, 547, 1265, 562, 2609, 2387, 2387, 5814, 319, 2387, 4118, 2387, 2387, 1109, 319, 1109, 2387, 258, 1599, 547, 1820, 3126, 540, 562, 2609, 2387, 2387, 3698, 319, 2387, 338, 7685, 263, 562, 267, 546, 2567, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 258, 952, 590, 6185, 269, 568, 476, 271, 1287, 1820, 782, 2387, 2387, 6892, 1109, 1730, 258, 2609, 607, 476, 271, 269, 2387, 2387, 6892, 1109, 1730, 604, 319, 2387, 323, 12181, 284, 1730, 284, 319, 2387, 271, 1730, 281, 2387, 2387, 3396, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 562, 476, 271, 781, 2387, 2387, 13725, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 333, 2567, 2387, 2387, 24748, 1109, 1730, 2745, 1730, 263, 1730, 257, 271, 257, 1730, 267, 1439, 12181, 284, 319, 2387, 262, 1412, 1730, 264, 2387, 2387, 13725, 1109, 1730, 8873, 319, 2387, 272, 319, 2387, 7673, 1109, 319, 1109, 2387, 6892, 1109, 1730, 258, 952, 590, 6185, 269, 568, 1256, 2387, 2387, 6892, 1109, 1730, 604, 319, 2387, 333, 12181, 260, 319, 2387, 273, 319, 2387, 284, 1730, 284, 319, 2387, 271, 1730, 281, 2387, 2387, 3396, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 910, 16256, 267, 1341, 16256, 267, 910, 16256, 267, 1341, 16256, 2387, 2387, 13725, 1109, 1730, 328, 12181, 284, 319, 2387, 272, 319, 2387, 13725, 1109, 1730, 6112, 319, 2387, 328, 2999, 1730, 284, 319, 2387, 333, 281, 2387, 2387, 24748, 1109, 1730, 2745, 1730, 263, 1730, 257, 10065, 276, 325, 257, 1730, 260, 1730, 9230, 4118, 269, 1730, 335, 578, 1730, 263, 1730, 268, 1730, 272, 1730, 267, 1775, 264, 12181, 265, 319, 2387, 323, 24270, 2387, 2387, 18987, 1109, 1109, 1730, 754, 12181, 284, 1730, 262, 1412, 1730, 264, 2387, 2387, 24748, 1109, 1730, 328, 12181, 266, 1730, 284, 319, 2387, 272, 319, 2387, 6892, 1109, 1730, 12828, 1730, 281, 2387, 2387, 13725, 1109, 1730, 258, 952, 9642, 2387, 2387, 13725, 1109, 1730, 258, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 13725, 1109, 1730, 332, 12181, 284, 319, 2387, 333, 2387, 2387, 13725, 1109, 1730, 337, 12181, 284, 319, 25464, 332, 12181, 270, 319, 25464, 332, 12181, 268, 319, 2387, 272, 1730, 4297, 2387, 2387, 13725, 1109, 1730, 326, 12181, 284, 319, 25464, 1730, 15615, 1730, 7565, 323, 12181, 265, 319, 2387, 15615, 1730, 263, 4118, 28460, 16868, 30727, 2387, 2387, 7673, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 835, 3693, 547, 581, 476, 271, 2387, 2387, 13725, 1109, 1730, 2745, 1730, 263, 1730, 257, 271, 834, 1730, 267, 1439, 12181, 284, 319, 2387, 262, 1412, 1730, 264, 2387, 2387, 7673, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 630, 333, 268, 272, 264, 2609, 607, 1535, 328, 6508, 2387, 2387, 13725, 1109, 1730, 258, 689, 519, 4542, 2387, 2387, 13725, 1109, 1730, 328, 12181, 284, 319, 2387, 272, 319, 2387, 13725, 1109, 1730, 6112, 319, 2387, 328, 2999, 562, 281, 2387, 2387, 24748, 1109, 1730, 2745, 1730, 263, 1730, 257, 10065, 276, 325, 257, 1730, 260, 1730, 263, 4118, 269, 1730, 335, 578, 1730, 263, 1730, 268, 1730, 272, 1730, 267, 1775, 264, 12181, 265, 319, 2387, 326, 1070, 2387, 2387, 18987, 1109, 1109, 1730, 754, 12181, 284, 319, 2387, 262, 1412, 1730, 264, 2387, 2387, 24748, 1109, 1730, 328, 12181, 284, 319, 2387, 328, 12181, 266, 319, 2387, 272, 319, 2387, 6892, 1109, 1730, 2745, 1730, 263, 1730, 257, 315, 333, 257, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 9920, 3009, 547, 1449, 519, 1657, 1599, 2387, 2387, 333, 12181, 284, 319, 2387, 274, 319, 2387, 323, 12181, 284, 319, 2387, 274, 319, 2387, 338, 7685, 3799, 267, 546, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 901, 3009, 568, 8329, 676, 834, 4537, 541, 611, 29758, 14551, 342, 1690, 2668, 2387, 692, 1012, 595, 258, 692, 2387, 2260, 595, 258, 1982, 547, 1265, 562, 2609, 2387, 2387, 6748, 319, 2387, 21902, 282, 2387, 2387, 1109, 319, 1109, 2387, 21504, 319, 2387, 5035, 319, 2387, 294, 325, 294, 2715, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 1599, 547, 1820, 3126, 540, 562, 2387, 2387, 6892, 1109, 19896, 2609, 2387, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 338, 7685, 263, 1730, 842, 319, 2387, 333, 267, 12181, 842, 319, 2387, 323, 264, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 476, 271, 1287, 1820, 782, 2387, 2387, 13725, 1109, 19896, 2609, 607, 476, 271, 269, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 323, 2652, 476, 271, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 562, 476, 271, 781, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2387, 2387, 7673, 13725, 1109, 1730, 3519, 18030, 269, 2237, 263, 1730, 257, 271, 257, 1730, 5148, 2387, 2387, 18987, 1109, 319, 1109, 2387, 24748, 1109, 1730, 3519, 18030, 269, 2237, 18118, 3890, 282, 2387, 2387, 7673, 3396, 1109, 319, 1109, 2387, 24748, 1109, 1730, 8873, 1730, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 1256, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 333, 4939, 476, 273, 2652, 476, 271, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 910, 16256, 267, 1341, 16256, 267, 910, 16256, 267, 1341, 16256, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 272, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 7673, 13725, 1109, 1730, 3519, 18030, 269, 2237, 263, 13043, 10422, 578, 8987, 272, 267, 1775, 264, 2387, 2387, 18987, 18987, 1741, 1109, 1730, 265, 546, 1341, 12181, 257, 834, 1730, 5148, 2387, 2387, 24748, 1109, 31299, 2387, 2387, 7673, 3396, 1109, 319, 1109, 2387, 24748, 1109, 1730, 3519, 18030, 269, 2237, 18118, 3890, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 13725, 1109, 1730, 12828, 319, 2387, 2260, 952, 9642, 2387, 2387, 13725, 1109, 1730, 346, 2387, 2387, 7673, 3396, 1109, 319, 1109, 2387, 24748, 1109, 19896, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 332, 815, 562, 282, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 337, 815, 630, 332, 1315, 630, 332, 910, 476, 272, 4297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 5594, 12137, 518, 11183, 269, 20780, 532, 2029, 2560, 563, 2414, 1847, 4464, 267, 547, 3094, 713, 267, 547, 1118, 513, 1483, 1279, 9434, 1689, 538, 2069, 649, 991, 547, 723, 513, 2312, 1620, 1018, 8892, 18112, 5034, 2560, 563, 5591, 267, 621, 779, 711, 2029, 9462, 30904, 594, 917, 649, 946, 621, 1631, 811, 982, 2479, 267, 855, 607, 596, 4076, 4440, 8068, 621, 779, 711, 2614, 269, 3143, 2339, 952, 2560, 563, 19931, 11150, 585, 24553, 995, 21846, 547, 5851, 4804, 1107, 8470, 22555, 676, 3143, 23423, 19087, 547, 2232, 13044, 866, 6433, 269, 1548, 596, 3580, 1451, 538, 713, 1357, 14373, 281, 2560, 563, 1432, 952, 596, 1810, 1406, 723, 1022, 2200, 547, 1544, 3078, 1565, 2833, 610, 596, 3112, 6488, 873, 286, 6496, 621, 1611, 596, 666, 1406, 2709, 2706, 3078, 267, 26612, 0, 1103, 19220, 540, 519, 2518, 2804, 1764, 540, 519, 2475, 16644, 2088, 4123, 2112, 267, 17111, 779, 4123, 609, 1312, 2477, 814, 7283, 5266, 7123, 269, 1306, 540, 4873, 476, 1708, 271, 267, 17111, 779, 4123, 609, 519, 2136, 2276, 1185, 2799, 676, 476, 274, 10065, 901, 568, 4080, 676, 519, 12080, 540, 4139, 11780, 543, 12752, 630, 11085, 2316, 1040, 681, 300, 3199, 786, 2333, 676, 476, 272, 18336, 8368, 540, 9115, 454, 1692, 13201, 634, 11780, 2782, 18748, 539, 634, 19004, 888, 307, 8565, 10617, 11686, 3361, 513, 1713, 2333, 538, 9204, 1813, 547, 1010, 3527, 269, 4340, 547, 513, 1867, 676, 28239, 344, 779, 24630, 3370, 538, 5181, 476, 1001, 280, 267, 519, 4123, 2112, 814, 2907, 1942, 519, 772, 2529, 269, 6634, 269, 27819, 476, 4968, 267, 1822, 6009, 543, 513, 476, 271, 2600, 13864, 2557, 941, 4080, 538, 519, 4346, 269, 634, 1483, 12654, 540, 519, 2197, 5666, 547, 476, 274, 10065, 634, 1942, 547, 519, 772, 2529, 269, 814, 1044, 6059, 693, 1269, 274, 5479, 269, 27051, 476, 271, 2600, 540, 12654, 563, 4692, 11780, 12668, 20531, 9483, 19822, 888, 2691, 513, 2197, 21593, 1164, 13143, 8907, 689, 519, 1533, 6578, 543, 4123, 10617, 2014, 513, 7771, 538, 1533, 6578, 19614, 267, 1287, 519, 1533, 6578, 949, 7985, 269, 1323, 2333, 538, 1533, 7963, 568, 4929, 519, 1533, 779, 18083, 547, 6336, 28880, 267, 799, 13514, 513, 11528, 1981, 269, 1703, 568, 513, 1981, 540, 606, 2804, 6433, 538, 891, 2010, 540, 3871, 563, 1692, 6496, 634, 11780, 2782, 18748, 15043, 18831, 888, 20059, 532, 538, 3384, 2477, 1522, 581, 4299, 676, 4123, 13253, 952, 789, 1764, 2518, 10462, 269, 6154, 1495, 267, 5689, 529, 345, 31974, 6390, 267, 4223, 1729, 334, 267, 543, 681, 25917, 630, 1708, 271, 264, 7447, 602, 519, 4747, 9271, 538, 3384, 2477, 1223, 2039, 689, 476, 271, 260, 547, 476, 2568, 10065, 898, 568, 476, 280, 260, 538, 3162, 5607, 543, 476, 272, 260, 538, 4000, 269, 17417, 543, 6239, 1306, 2103, 616, 4397, 547, 1294, 606, 2333, 540, 476, 278, 18336, 9989, 7383, 18748, 9483, 12618, 769, 17111, 888, 1103, 519, 2250, 267, 1713, 13143, 2208, 814, 1044, 2404, 609, 4028, 2208, 538, 20558, 269, 4635, 17111, 607, 606, 1383, 267, 713, 1957, 12116, 519, 21465, 2078, 1063, 4123, 543, 2804, 2208, 972, 563, 1432, 6496, 634, 11780, 2782, 18748, 888, 19770, 543, 519, 2136, 2276, 1312, 11124, 2804, 9271, 1813, 547, 519, 4123, 2112, 267, 2094, 4123, 8928, 941, 11651, 1540, 2476, 689, 1312, 2477, 269, 769, 1200, 2376, 538, 519, 6115, 5403, 267, 1261, 1430, 7043, 11339, 267, 968, 308, 2529, 269, 1703, 729, 513, 3500, 6658, 538, 2804, 2208, 267, 513, 19068, 538, 1870, 5092, 267, 543, 7864, 1004, 941, 21534, 563, 1692, 1684, 11780, 12668, 18748, 634, 19004, 888, 3682, 7257, 19114, 616, 10413, 676, 9755, 2348, 547, 2628, 811, 585, 6151, 2326, 269, 4935, 267, 4123, 10617, 666, 2014, 3902, 4679, 1107, 3226, 1851, 14475, 5370, 1107, 799, 666, 1291, 547, 10637, 2066, 2199, 11615, 563, 7617, 13474, 5484, 1030, 1243, 634, 4107, 3245, 11780, 2782, 888, 307, 2967, 9774, 779, 9304, 814, 6591, 1269, 275, 2094, 13723, 267, 5437, 476, 277, 267, 476, 1001, 280, 269, 589, 10006, 538, 18666, 547, 519, 2475, 8507, 538, 513, 2121, 2744, 540, 1269, 273, 5479, 269, 3624, 267, 799, 814, 4389, 18666, 547, 519, 2136, 2276, 607, 513, 1267, 540, 519, 4123, 2112, 267, 814, 3254, 519, 6574, 2333, 538, 18666, 547, 519, 2136, 2276, 563, 1103, 1548, 32163, 725, 2052, 11780, 12668, 8048, 2368, 2986, 634, 9540, 2817, 8859, 625, 1677, 1323, 9483, 19822, 888, 2691, 513, 2197, 21593, 1164, 13143, 8907, 689, 519, 1533, 6578, 543, 4123, 10617, 2014, 513, 7771, 538, 1533, 6578, 19614, 267, 1287, 519, 1533, 6578, 949, 7985, 269, 1403, 513, 1533, 6578, 568, 7092, 689, 513, 1164, 6578, 17211, 543, 1857, 18083, 616, 21002, 2989, 609, 513, 1164, 3454, 2557, 267, 4123, 10617, 666, 1267, 538, 513, 1857, 8804, 6433, 563, 1692, 6496, 634, 11780, 2782, 18748, 634, 2475, 19004, 888, 6097, 547, 938, 9183, 267, 519, 2475, 4346, 1131, 3132, 1269, 272, 952, 519, 4123, 2112, 15583, 919, 543, 1232, 537, 1255, 269, 898, 1131, 1267, 538, 476, 278, 3953, 267, 1822, 7864, 6009, 538, 476, 1708, 273, 543, 476, 17168, 267, 1822, 7864, 6009, 538, 476, 1708, 276, 609, 513, 12654, 5786, 540, 1269, 277, 18265, 936, 519, 1985, 2947, 1296, 269, 7464, 26038, 585, 2475, 10820, 616, 6059, 547, 723, 15468, 676, 1269, 277, 267, 6110, 676, 476, 1708, 276, 563, 1692, 6496, 11780, 18748, 634, 19004, 888, 763, 2956, 540, 4123, 547, 3013, 779, 13884, 3112, 581, 896, 26061, 1107, 621, 11479, 2804, 2208, 267, 2488, 6009, 693, 1753, 267, 12651, 2713, 4441, 538, 519, 772, 2529, 269, 543, 5849, 1977, 3885, 666, 3548, 267, 4235, 267, 543, 723, 12062, 269, 589, 2698, 540, 1269, 274, 729, 21775, 538, 5370, 269, 634, 2698, 568, 1269, 280, 18265, 543, 772, 2529, 269, 589, 2698, 540, 1269, 272, 5479, 729, 21775, 538, 2533, 269, 1703, 616, 1614, 18265, 9489, 563, 1692, 6496, 11780, 2782, 18748, 4354, 6275, 888, 19770, 11912, 1055, 20558, 689, 10476, 607, 513, 1267, 540, 519, 4123, 2112, 267, 799, 786, 723, 513, 1713, 1764, 593, 519, 19176, 962, 10224, 3761, 269, 1306, 513, 1267, 267, 519, 19728, 1522, 14020, 267, 543, 519, 4914, 9541, 602, 1683, 519, 2477, 609, 1713, 4914, 2724, 1223, 581, 4503, 563, 1432, 3657, 634, 12186, 2986, 634, 11780, 2782, 888, 13757, 10413, 1312, 3624, 543, 519, 2136, 2276, 17215, 543, 8507, 538, 513, 4129, 542, 540, 4123, 8928, 2476, 689, 1312, 2477, 269, 769, 1200, 2376, 538, 519, 6115, 5403, 267, 1261, 1430, 7043, 11339, 267, 968, 308, 2529, 269, 1703, 729, 513, 3500, 6658, 538, 2804, 2208, 267, 513, 19068, 538, 1870, 5092, 267, 543, 7864, 1004, 941, 21534, 563, 3963, 1772, 11780, 14068, 1280, 15043, 18831, 888, 18814, 547, 4123, 12666, 1436, 267, 3384, 6082, 543, 11615, 786, 723, 547, 14526, 609, 6793, 3283, 593, 519, 1482, 2518, 2344, 269, 1715, 569, 2919, 6080, 949, 3111, 1813, 547, 713, 4161, 267, 543, 3964, 2199, 6080, 949, 7985, 2059, 609, 873, 563, 1692, 1684, 20579, 14554, 18748, 15043, 18831, 888, 307, 31320, 616, 26550, 1221, 676, 519, 2229, 540, 513, 3384, 4346, 593, 5370, 16865, 883, 9922, 649, 1616, 547, 1332, 269, 7383, 539, 5370, 786, 581, 811, 7199, 543, 513, 6469, 2344, 786, 581, 2813, 585, 29143, 1227, 3812, 5370, 267, 7303, 6080, 689, 2469, 856, 540, 1870, 998, 3902, 6735, 563, 1692, 13201, 634, 3624, 11780, 2782, 8177, 634, 2475, 19004, 888, 2467, 814, 1044, 606, 2333, 538, 3790, 585, 9755, 267, 513, 4473, 538, 5777, 585, 6800, 267, 543, 2883, 7965, 585, 6705, 538, 519, 2136, 2276, 607, 513, 1267, 269, 3624, 779, 2804, 543, 4853, 3977, 2208, 30281, 1524, 607, 513, 1267, 540, 519, 4123, 2112, 267, 799, 3357, 1310, 519, 4346, 2907, 1185, 1044, 23646, 1524, 269, 0, 3891, 697, 281, 476, 1839, 268, 2767, 6279, 630, 8287, 268, 6924, 4699, 11850, 7076, 281, 476, 2004, 268, 2568, 6550, 630, 2537, 268, 2767, 4846, 1916, 763, 13529, 568, 606, 18211, 4531, 520, 267, 1010, 2898, 5920, 835, 540, 15683, 543, 620, 334, 1993, 1145, 269, 1261, 568, 1419, 5219, 547, 607, 513, 4622, 540, 5243, 1317, 540, 1010, 1036, 531, 12946, 269, 3571, 1686, 814, 1044, 14360, 1394, 547, 1063, 476, 275, 267, 1822, 543, 476, 274, 267, 1822, 645, 5861, 269, 634, 11495, 4162, 540, 519, 9742, 616, 606, 16678, 968, 292, 6141, 892, 4082, 282, 513, 1279, 267, 3623, 5652, 1283, 330, 2254, 282, 7986, 12048, 321, 2158, 267, 2362, 543, 9962, 982, 538, 824, 5243, 282, 1527, 2224, 13692, 532, 593, 519, 7953, 282, 543, 513, 1279, 267, 13576, 10359, 563, 1103, 15787, 267, 1141, 519, 9742, 12090, 267, 972, 941, 1079, 2010, 540, 2279, 724, 753, 281, 1346, 2713, 538, 9390, 2127, 945, 1705, 811, 4881, 543, 1185, 3476, 4703, 282, 543, 1346, 689, 519, 10239, 267, 609, 513, 10156, 1394, 543, 12042, 7953, 267, 28498, 811, 5614, 538, 519, 22586, 14099, 269, 2353, 4778, 616, 7989, 24777, 563, 763, 13529, 3340, 9645, 17678, 547, 2061, 519, 10359, 689, 1319, 1154, 269, 4014, 2653, 268, 4707, 267, 646, 568, 20916, 547, 581, 4830, 543, 1419, 568, 2182, 547, 2777, 19874, 269, 1261, 2760, 14543, 547, 2721, 8098, 3931, 1350, 1734, 950, 646, 568, 15336, 593, 513, 2749, 8265, 269, 0, 273, 7160, 540, 1215, 5830, 2253, 741, 5220, 1336, 538, 519, 17048, 563, 1692, 5830, 2253, 741, 5220, 454, 24309, 538, 2296, 454, 347, 13750, 618, 1475, 288, 27451, 320, 25795, 329, 651, 3911, 1080, 8198, 16085, 7685, 1475, 299, 5588, 4534, 476, 6858, 2008, 347, 6944, 1026, 1903, 1475, 27455, 601, 6359, 651, 744, 837, 15605, 4060, 1041, 19248, 531, 342, 564, 839, 577, 777, 8198, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 3607, 279, 2008, 7072, 547, 5824, 454, 1492, 800, 540, 6800, 3747, 563, 320, 14720, 27138, 985, 18260, 14216, 643, 2510, 540, 2558, 20884, 1912, 6664, 5387, 538, 519, 31349, 540, 670, 2678, 7514, 3380, 454, 331, 8077, 3043, 10553, 4123, 454, 294, 1037, 4248, 5464, 7840, 585, 3282, 32549, 1646, 454, 720, 540, 8402, 2473, 4353, 267, 543, 824, 5697, 12591, 563, 303, 523, 11796, 6651, 547, 7464, 24529, 13397, 14819, 1401, 3133, 725, 585, 19833, 31080, 543, 7935, 24329, 454, 5575, 543, 2034, 954, 574, 5359, 547, 519, 10579, 540, 10871, 6554, 543, 12020, 8720, 519, 1974, 476, 1015, 628, 2904, 267, 476, 4198, 271, 910, 476, 1789, 628, 4873, 267, 476, 4198, 272, 563, 19177, 5259, 15023, 454, 6635, 2466, 1137, 30676, 543, 6172, 1499, 454, 290, 2086, 532, 543, 666, 27739, 454, 293, 28216, 585, 2413, 812, 563, 13981, 875, 547, 1376, 513, 3209, 267, 875, 547, 2328, 513, 1390, 1101, 4845, 267, 5037, 610, 3184, 267, 568, 1883, 547, 1603, 2835, 602, 7485, 3988, 538, 3728, 269, 1548, 2306, 513, 1101, 4845, 610, 5037, 2178, 269, 3367, 1806, 689, 27825, 543, 1655, 18522, 9089, 267, 1287, 1205, 5955, 593, 707, 1378, 1650, 6679, 281, 1879, 4358, 513, 3209, 267, 596, 723, 835, 3804, 281, 1677, 1711, 606, 563, 5141, 1046, 814, 513, 1007, 1433, 593, 2542, 267, 585, 5830, 267, 609, 513, 2603, 540, 4388, 593, 4050, 940, 5220, 281, 634, 3203, 540, 2473, 7304, 599, 7335, 281, 1215, 519, 31981, 540, 476, 1839, 4279, 3718, 540, 9085, 4024, 13724, 2659, 5675, 630, 1916, 24375, 940, 5830, 267, 2523, 267, 1058, 2015, 3388, 676, 18412, 269, 6423, 849, 1010, 2835, 5675, 13088, 630, 1070, 634, 3794, 600, 712, 540, 18049, 630, 1070, 543, 6435, 269, 15775, 519, 1101, 4845, 593, 1957, 666, 581, 835, 540, 519, 1034, 2352, 2591, 513, 5856, 8188, 563, 5649, 593, 585, 2093, 689, 5216, 4589, 593, 875, 547, 14736, 3613, 691, 519, 1603, 1184, 269, 1452, 32461, 2097, 689, 3503, 3399, 267, 513, 1007, 4437, 1748, 850, 3126, 602, 8843, 4388, 267, 5796, 267, 543, 1093, 17257, 2123, 2984, 689, 2442, 5708, 543, 1875, 27395, 4589, 563, 4407, 2324, 593, 1250, 1433, 6713, 281, 634, 5675, 22032, 540, 4279, 22439, 267, 594, 1336, 602, 1256, 585, 519, 1655, 5830, 538, 519, 1158, 267, 3478, 3323, 666, 581, 519, 23698, 11313, 338, 875, 476, 276, 1390, 4589, 1336, 1018, 789, 2877, 547, 1205, 3323, 593, 741, 1360, 1101, 9089, 476, 272, 563, 307, 18223, 31513, 1923, 634, 27910, 281, 589, 5675, 6828, 31513, 729, 513, 1032, 6040, 7548, 693, 20999 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20685, 11340, 807, 568, 2808, 835, 540, 519, 4332, 17541, 540, 1480, 10340, 267, 814, 513, 7524, 543, 25133, 1686, 269, 2991, 5215, 540, 1296, 896, 519, 4341, 540, 519, 3752, 558, 4577, 19092, 267, 15337, 2103, 723, 28815, 1585, 31341, 6681, 543, 22266, 20816, 267, 609, 10617, 267, 7839, 26380, 267, 543, 21393, 2921, 1747, 2429, 519, 8109, 3979, 4182, 563, 763, 4473, 540, 2806, 12011, 30277, 779, 2229, 729, 9277, 547, 1665, 513, 2619, 540, 21047, 10838, 11562, 532, 15337, 1014, 1249, 687, 267, 607, 5756, 540, 4341, 676, 519, 667, 1120, 543, 519, 570, 580, 2001, 4658, 779, 8644, 3130, 13571, 2451, 519, 2197, 538, 14784, 269, 5502, 267, 30277, 779, 8185, 26730, 3990, 744, 668, 334, 2229, 814, 12081, 1243, 6803, 13253, 543, 5342, 1896, 1085, 987, 532, 4108, 11044, 2443, 835, 538, 570, 580, 2001, 543, 835, 1631, 538, 519, 2549, 327, 4673, 3148, 563, 8269, 22162, 5230, 8396, 538, 519, 570, 580, 2001, 3148, 267, 519, 2549, 327, 4673, 3148, 814, 2097, 896, 5230, 11523, 23957, 676, 519, 5313, 2229, 538, 1520, 4134, 2806, 19487, 269, 744, 32054, 8165, 814, 2451, 8464, 4666, 267, 543, 12194, 540, 1776, 3540, 2112, 723, 6591, 3486, 3007, 563, 290, 571, 9535, 13560, 593, 19837, 6342, 454, 6781, 12011, 30277, 7620, 3357, 547, 1379, 607, 513, 1761, 2048, 516, 845, 518, 685, 945, 1223, 26595, 1585, 1249, 687, 1310, 5756, 540, 13313, 543, 6803, 5313, 1143, 896, 570, 12195, 293, 4341, 269, 30277, 568, 513, 5449, 21243, 4108, 11464, 945, 2968, 513, 17587, 13458, 15356, 18579, 585, 27410, 519, 1007, 10665, 543, 16857, 13882, 609, 661, 761, 16699, 563, 5475, 519, 17740, 5362, 540, 519, 570, 580, 2001, 3148, 267, 519, 570, 580, 2001, 16470, 17086, 9250, 986, 1749, 593, 15337, 1014, 2817, 16470, 17086, 630, 2894, 5263, 1070, 30277, 1131, 1291, 513, 4108, 5859, 547, 30817, 519, 17740, 5362, 269, 634, 570, 580, 2001, 2782, 1131, 6038, 1831, 513, 19493, 9568, 607, 519, 13673, 5263, 267, 6462, 676, 519, 661, 761, 516, 534, 7952, 267, 2322, 519, 3148, 896, 26362, 563, 763, 11375, 636, 2033, 26362, 4718, 7366, 540, 5215, 540, 4731, 333, 712, 1639, 570, 580, 2001, 753, 543, 2112, 10963, 267, 971, 607, 513, 1009, 686, 7719, 593, 19742, 5989, 543, 2564, 6703, 269, 634, 2549, 327, 4673, 3148, 1131, 7985, 689, 1427, 531, 2747, 676, 519, 570, 5263, 267, 945, 22983, 741, 2244, 1310, 25588, 1394, 519, 13673, 5263, 563, 763, 2549, 327, 4673, 1131, 723, 741, 17740, 807, 267, 519, 2549, 327, 4673, 7981, 17086, 267, 602, 10692, 1996, 519, 570, 5263, 609, 2370, 2229, 6351, 269, 8307, 950, 519, 570, 5263, 543, 741, 16167, 267, 519, 744, 668, 334, 8644, 3130, 8136, 630, 5357, 288, 1070, 3323, 15292, 532, 5196, 1520, 4134, 2806, 19487, 1705, 2806, 12011, 30277, 957, 24847, 543, 2490, 519, 20352, 540, 519, 2112, 267, 799, 4396, 1881, 1010, 4341, 563, 27078, 22162, 519, 2549, 327, 4673, 543, 570, 580, 2001, 16323, 543, 7136, 659, 637, 454, 7628, 519, 13673, 5263, 18086, 267, 2549, 9618, 553, 538, 519, 744, 668, 807, 3148, 1131, 3068, 27615, 13135, 2527, 659, 637, 676, 519, 744, 668, 334, 8644, 3130, 13571, 630, 5357, 293, 28931, 534, 17119, 626, 3919, 609, 519, 3804, 540, 21393, 547, 1711, 513, 3152, 744, 668, 334, 1533, 1369, 18629, 269, 26597, 7125, 585, 17600, 543, 18149, 31766, 3357, 1996, 30277, 779, 2229, 267, 799, 568, 8185, 7768, 540, 744, 668, 657, 543, 2549, 9618, 553, 269, 1358, 4718, 513, 9186, 538, 519, 3500, 3210, 547, 519, 2527, 659, 637, 1996, 873, 3379, 547, 519, 16190, 2962, 519, 2229, 3576, 950, 519, 570, 5263, 22415, 1117, 4724, 519, 3854, 563, 3849, 4134, 2806, 19487, 1131, 1291, 11523, 23957, 1996, 2549, 327, 4673, 4744, 6342, 267, 10654, 532, 1585, 9565, 5515, 1369, 741, 2146, 269, 13966, 609, 11523, 23957, 267, 519, 15337, 1014, 2229, 13986, 547, 15936, 538, 519, 15337, 1014, 570, 1168, 320, 1117, 334, 5783, 676, 18549, 9301, 513, 2736, 12537, 5348, 617, 267, 2810, 6803, 13253, 1369, 519, 2197, 563, 763, 15337, 1014, 2817, 16470, 17086, 5828, 519, 20352, 540, 519, 2112, 267, 855, 1034, 540, 18629, 729, 7184, 10077, 1042, 269, 634, 570, 580, 2001, 2782, 729, 519, 4666, 31586, 2112, 540, 713, 2540, 865, 2484, 267, 609, 519, 5354, 540, 1346, 7166, 1373, 570, 580, 2001, 534, 543, 2549, 327, 4673, 17740, 3554, 523, 269, 2806, 12011, 1185, 6707, 19597, 730, 1379, 1247, 1010, 30347, 2968, 3648, 18604, 563, 307, 5014, 4797, 547, 4473, 950, 30277, 13986, 547, 771, 7171, 519, 674, 8457, 543, 2549, 327, 4673, 7981, 17086, 17740, 5362, 585, 322, 4601, 269, 1452, 17740, 5362, 941, 2451, 856, 540, 519, 3979, 5742, 1532, 17977, 4708, 12909, 602, 8694, 519, 2112, 267, 543, 741, 3401, 723, 2097, 896, 519, 2810, 16986, 540, 1520, 4134, 2806, 19487, 563, 8649, 9618, 553, 4718, 519, 13986, 771, 9879, 607, 513, 13581, 267, 607, 789, 941, 7142, 547, 4584, 909, 9604, 689, 519, 4666, 1175, 547, 4339, 519, 570, 5263, 1282, 741, 13567, 538, 741, 3148, 267, 543, 1776, 3801, 693, 556, 15759, 1674, 1131, 4734, 873, 7925, 269, 769, 930, 2694, 540, 519, 2549, 327, 4673, 3148, 267, 519, 674, 8457, 2813, 741, 11889, 16278, 267, 799, 30277, 779, 2229, 4718, 607, 17116, 741, 4341, 563, 6781, 12011, 779, 5696, 583, 531, 13639, 22411, 454, 763, 13673, 5263, 814, 1044, 18611, 547, 519, 2549, 327, 4673, 3148, 267, 855, 519, 2229, 814, 1031, 25337, 12485, 2938, 538, 519, 570, 580, 2001, 3148, 2443, 2011, 1379, 269, 4635, 11894, 779, 29200, 7345, 571, 19241, 541, 19505, 273, 19025, 267, 2806, 12011, 814, 25793, 14414, 22266, 2011, 1379, 5196, 519, 2549, 327, 4673, 3148, 563, 288, 2487, 10880, 693, 5685, 1774, 30561, 7166, 8464, 267, 609, 19421, 811, 20754, 269, 4438, 519, 570, 580, 2001, 2782, 267, 20473, 543, 8484, 946, 729, 7928, 538, 519, 2549, 327, 4673, 3148, 1813, 547, 519, 1166, 2660, 14099, 3379, 547, 519, 29990, 570, 580, 2001, 3148, 563, 763, 28823, 13253, 1063, 2806, 12011, 30277, 779, 936, 516, 2286, 6392, 10838, 1010, 1004, 3112, 979, 29462, 269, 634, 5449, 17587, 13458, 15356, 18579, 814, 5051, 26731, 1010, 2197, 2509, 2278, 23540, 543, 4797, 6803, 13253, 267, 799, 814, 2484, 23568, 4539, 585, 4000, 563, 314, 20124, 676, 737, 8145, 4802, 269, 745, 267, 3842, 22816, 12855, 12780, 2639, 763, 5784, 543, 8369, 6829, 538, 713, 2376, 616, 1346, 540, 519, 2278, 563, 19878, 1014, 5062, 289, 20183, 568, 513, 18837, 10236, 6048, 543, 4830, 19784, 4535, 538, 1715, 3840, 269, 1261, 568, 519, 13653, 543, 8689, 540, 519, 14484, 687, 540, 2782, 19541, 630, 4629, 310, 1070, 606, 10236, 1670, 15726, 302, 799, 6663, 547, 2995, 519, 2984, 540, 519, 9601, 540, 2112, 998, 1148, 3797, 269, 1306, 513, 5449, 13149, 267, 646, 3096, 713, 4480, 711, 1152, 547, 948, 12115, 17971, 855, 849, 547, 2671, 1004, 779, 2984, 998, 1148, 267, 799, 27711, 968, 1492, 5048, 540, 519, 30468, 540, 2112, 1732, 982, 1034, 3377, 3906, 1848, 0, 22416, 3279, 568, 835, 540, 5722, 9167, 2477, 540, 968, 14683, 6161, 892, 1813, 547, 8375, 5046, 268, 866, 2669, 3928, 267, 2687, 547, 519, 3864, 10418, 585, 8376, 10644, 543, 6513, 563, 763, 6532, 26082, 8050, 267, 27597, 267, 31697, 267, 23886, 807, 267, 21640, 543, 519, 16231, 6243, 538, 519, 6926, 752, 4879, 676, 519, 9167, 8116, 563, 2005, 1767, 891, 2477, 1185, 968, 534, 2799, 8167, 540, 6413, 2213, 543, 4049, 2665, 5608, 543, 968, 27463, 2084, 610, 1164, 2669, 31015, 3928, 616, 2907, 4767, 1862, 610, 949, 581, 4767, 4166, 2223, 19962, 547, 513, 3262, 1851, 4587, 1004, 563, 288, 21782, 538, 7972, 1851, 519, 11361, 814, 3366, 547, 5689, 3279, 11093, 3791, 538, 519, 9167, 538, 2474, 540, 7972, 829, 476, 1911, 267, 1822, 1004, 6592, 936, 519, 2063, 1079, 4374, 563, 8967, 664, 814, 6592, 476, 274, 7972, 829, 476, 1911, 267, 1822, 1004, 936, 519, 2063, 1079, 4374, 267, 27597, 814, 6592, 476, 273, 269, 278, 267, 1247, 5689, 3279, 568, 1985, 267, 693, 476, 273, 269, 273, 563, 763, 661, 24922, 1867, 12290, 519, 2949, 1981, 540, 5046, 268, 866, 607, 968, 14683, 892, 585, 519, 2489, 2551, 543, 968, 854, 1164, 892, 585, 7925, 2043, 563, 10527, 9283, 602, 723, 1044, 1500, 538, 2013, 2359, 267, 11215, 2126, 543, 1416, 616, 1869, 711, 2614, 547, 2057, 4049, 2068, 543, 2669, 538, 513, 1804, 8167, 540, 7925, 2550, 2223, 621, 1767, 563, 2005, 6700, 5689, 3279, 543, 519, 824, 3670, 1164, 16151, 2477, 2936, 811, 968, 12061, 14428, 1301, 11914, 6304, 892, 1107, 513, 2165, 585, 1857, 1072, 3800, 6322, 693, 1514, 26865, 563, 2108, 25363, 13586, 31749, 1875, 14428, 1301, 11914, 7459, 1862, 5526, 547, 581, 519, 1152, 2139, 4640, 602, 949, 581, 2111, 547, 2327, 513, 9793, 630, 553, 10353, 547, 1164, 264, 1764, 540, 519, 2068, 593, 2043, 543, 593, 3782, 11865, 2223, 519, 1867, 1767, 563, 22416, 3279, 779, 5046, 268, 866, 2669, 17167, 568, 693, 476, 2767, 267, 1310, 1079, 811, 1004, 5747, 593, 13723, 3781, 269, 5637, 9601, 267, 513, 476, 10463, 4458, 6040, 4807, 543, 513, 476, 11011, 4458, 6040, 812, 941, 7264, 540, 1416, 5321, 563, 763, 11361, 4807, 729, 2713, 538, 5842, 17487, 510, 340, 385, 376, 324, 653, 1753, 538, 674, 326, 3120, 267, 799, 568, 21365, 606, 12176, 563, 28606, 17067, 713, 3923, 267, 519, 2229, 9783, 1007, 10873, 6322, 693, 7863, 11361, 1753, 7264, 267, 799, 3769, 811, 7928, 2220, 629, 6883, 4255, 543, 2837, 11974, 563, 4002, 13723, 267, 5689, 3279, 4080, 476, 5655, 1007, 5046, 268, 866, 2665, 543, 476, 1240, 9156, 625, 267, 8744, 519, 2698, 1297, 540, 3742, 2665, 547, 476, 27151, 563, 5278, 476, 273, 267, 279, 7176, 1004, 723, 7318, 2318, 585, 519, 3644, 2094, 621, 6603, 519, 6532, 538, 4728, 269, 0, 3674, 932, 274, 1723, 7431, 1323, 18729, 2107, 589, 12476, 1107, 634, 9063, 9775, 7494, 4470, 593, 519, 1216, 269, 634, 9063, 540, 519, 17280, 3070, 568, 9738, 282, 634, 9063, 1281, 711, 1689, 563, 274, 20873, 619, 20873, 619, 5706, 9063, 2242, 3361, 676, 4946, 7408, 610, 13279, 269, 12559, 528, 2125, 670, 274, 302, 266, 610, 27846, 268, 689, 1426, 543, 10408, 3157, 547, 2226, 1560, 9063, 269, 898, 568, 1271, 585, 519, 1697, 8647, 540, 2281, 543, 1973, 269, 898, 8952, 519, 9063, 540, 519, 1973, 693, 519, 1482, 1377, 269, 15448, 538, 1973, 9063, 1860, 5135, 10338, 543, 10408, 3157, 563, 3674, 932, 274, 1723, 7431, 1323, 18729, 2107, 589, 12476, 454, 2005, 3568, 3679, 1532, 848, 8424, 269, 898, 949, 2270, 20919, 540, 4617, 7408, 543, 741, 31669, 13279, 269, 1703, 616, 2356, 3160, 9830, 540, 4617, 7408, 543, 741, 20919, 269, 898, 666, 2270, 4617, 13279, 543, 20919, 540, 31669, 7408, 563, 306, 9407, 281, 634, 19725, 2986, 589, 20873, 518, 8827, 1772, 1323, 7151, 2986, 634, 5871, 594, 517, 6356, 269, 11512, 1215, 589, 20873, 518, 3718, 2060, 13129, 1677, 589, 8827, 1230, 8877, 3600, 2045, 18729, 1656, 31406, 3600, 564, 622, 454, 263, 6224, 274, 4596, 15121, 264, 543, 9770, 21449, 622, 630, 6224, 274, 4596, 2177, 288, 264, 20919, 3132, 21449, 622, 12274, 543, 9770, 12274, 269, 8863, 274, 4596, 2177, 320, 5416, 336, 264, 8863, 274, 4596, 302, 24179, 26698, 264, 1341, 10878, 266, 630, 26698, 264, 634, 6070, 568, 3773, 865, 602, 519, 5834, 540, 519, 31669, 3490, 8863, 274, 4596, 302, 268, 568, 3152, 982, 602, 540, 519, 4617, 3679, 4805, 269, 8863, 274, 4596, 15121, 5416, 336, 264, 1341, 670, 273, 302, 10857, 264, 8863, 274, 4596, 302, 24179, 26698, 264, 1341, 670, 274, 302, 23444, 26698, 264, 14066, 2179, 14066, 2179, 454, 763, 1599, 540, 513, 4617, 3679, 538, 513, 17280, 568, 547, 9243, 1125, 519, 3490, 269, 634, 21449, 622, 9357, 3812, 568, 3773, 547, 519, 4540, 21449, 622, 269, 8863, 274, 4596, 15121, 1341, 27846, 6629, 8863, 274, 4596, 302, 6629, 1341, 670, 273, 302, 1035, 2045, 3679, 3490, 21449, 622, 9357, 1216, 14645, 9736, 21942, 4065, 267, 5549, 269, 15618, 676, 281, 18148, 595, 17026, 902, 454, 763, 1599, 540, 519, 21449, 622, 9357, 8863, 274, 4596, 302, 268, 568, 547, 9243, 1125, 670, 274, 302, 266, 538, 519, 3679, 269, 634, 1035, 2045, 3679, 3812, 8309, 547, 519, 5250, 540, 4617, 7408, 1459 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8176, 28726, 689, 8835, 781, 11470, 3509, 2053, 594, 723, 1224, 713, 1433, 543, 2938, 8874, 1759, 593, 519, 1433, 269, 634, 16972, 5680, 281, 5291, 2517, 4178, 18192, 1112, 20187, 19986, 3820, 270, 2246, 4243, 7933, 1157, 839, 7933, 322, 27651, 11258, 2608, 4793, 1084, 267, 7917, 700, 269, 968, 2691, 1772, 513, 3883, 3502, 513, 3883, 281, 20182, 3828, 626, 538, 12745, 9495, 6732, 476, 1428, 2904, 476, 1001, 278, 20182, 3828, 626, 2982, 1312, 519, 1303, 823, 618, 543, 519, 8594, 540, 519, 7803, 519, 1257, 282, 865, 28726, 1223, 581, 6273, 676, 1010, 3523, 1807, 781, 2592, 563, 5649, 20182, 3828, 626, 267, 1863, 2228, 4528, 540, 519, 1433, 676, 8176, 28726, 267, 593, 3367, 23338, 2593, 269, 8176, 28726, 781, 20182, 3828, 626, 5161, 540, 476, 7871, 2694, 585, 8897, 540, 3883, 12834, 269, 20182, 3828, 626, 781, 3993, 10523, 1310, 519, 4332, 540, 1200, 1126, 538, 513, 960, 5264, 269, 634, 10867, 781, 4651, 568, 7164, 267, 543, 519, 29152, 568, 5116, 538, 513, 4357, 11174, 20182, 3828, 626, 267, 3370, 1583, 6053, 689, 476, 8146, 278, 547, 476, 8146, 280, 267, 5205, 519, 5707, 983, 1915, 20182, 267, 476, 8146, 278, 547, 476, 8146, 280, 538, 28564, 2917, 781, 16700, 3250, 1415, 543, 538, 513, 1614, 31891, 1433, 538, 476, 8146, 279, 269, 901, 1433, 568, 4867, 28998, 1317, 972, 616, 1713, 2298, 2152, 609, 519, 2707, 3758, 13859, 676, 519, 17404, 269, 634, 17404, 814, 1044, 711, 1881, 543, 476, 1240, 4239, 476, 1001, 280, 17676, 6732, 5530, 6651, 12834, 585, 20182, 3828, 626, 676, 8176, 28726, 5174, 809, 11872, 3848, 12834, 5530, 6651, 6732, 3883, 7797, 769, 1169, 1433, 594, 917, 267, 1141, 971, 3197, 616, 5701, 540, 693, 782, 267, 1978, 4039, 919, 875, 20182, 3828, 626, 729, 1360, 2282, 3478, 513, 9255, 267, 799, 1131, 711, 723, 1044, 513, 454, 5649, 20182, 3828, 626, 267, 1863, 2228, 4528, 540, 519, 1433, 676, 8176, 28726, 267, 593, 3367, 23338, 2593, 269, 8176, 28726, 781, 20182, 3828, 626, 5161, 540, 476, 7871, 2694, 585, 8897, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 3967, 476, 1428, 476, 5400, 281, 4649, 281, 2412, 476, 1001, 275, 692, 287, 10461, 281, 669, 5142, 321, 3317, 9116, 454, 20701, 258, 335, 2643, 629, 2636, 721, 547, 946, 28321, 2645, 454, 5228, 28894, 629, 1104, 20330, 5814, 21267, 4877, 2643, 629, 607, 12301, 454, 5228, 2979, 1104, 14039, 267, 5430, 267, 5609, 267, 1035, 657, 267, 607, 514, 267, 693, 534, 454, 294, 284, 277, 269, 6858, 274, 279, 4366, 324, 268, 1556, 454, 258, 5035, 5627, 782, 540, 519, 19702, 1963, 2404, 609, 1142, 1367, 4541, 454, 5035, 14136, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 704, 1675, 312, 8986, 267, 31709, 267, 21346, 267, 324, 764, 267, 514, 743, 1588, 267, 1794, 574, 3578, 2187, 1038, 1582, 269, 704, 1675, 312, 8986, 284, 704, 1675, 312, 8986, 454, 1038, 1582, 269, 704, 1675, 284, 15615, 4311, 269, 704, 1675, 312, 8986, 12684, 18458, 269, 1839, 265, 11740, 271, 265, 2190, 454, 1038, 1582, 269, 31709, 284, 31709, 454, 1038, 1582, 6230, 817, 284, 21346, 454, 1038, 1582, 4318, 764, 284, 324, 764, 454, 1038, 1948, 514, 743, 1588, 568, 519, 5086, 1063, 519, 27976, 7077, 543, 519, 12643, 1388, 7077, 454, 1038, 1582, 23357, 743, 1588, 284, 514, 743, 1588, 454, 1038, 1948, 1794, 574, 3578, 568, 519, 5086, 540, 10047, 540, 519, 1062, 530, 4135, 519, 1535, 7852, 267, 476, 271, 1797, 14282, 1448, 540, 10739, 568, 593, 519, 1535, 7852, 22322, 1038, 1582, 269, 1794, 574, 3578, 284, 1794, 574, 3578, 454, 1038, 1948, 1492, 20842, 574, 3578, 531, 5086, 15810, 593, 519, 10739, 568, 519, 20842, 2889, 329, 454, 1038, 1582, 269, 1794, 2889, 329, 284, 27979, 6025, 534, 4311, 269, 1794, 574, 3578, 12684, 6523, 4311, 23357, 743, 1588, 4917, 1038, 952, 1582, 269, 1794, 574, 3578, 285, 7032, 270, 273, 543, 1582, 269, 1794, 574, 3578, 27045, 274, 265, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 266, 7032, 454, 1038, 8640, 1582, 269, 1794, 574, 3578, 285, 274, 265, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 266, 273, 265, 7032, 454, 1038, 8640, 20842, 574, 3578, 285, 15871, 274, 265, 7032, 270, 273, 543, 20842, 574, 3578, 283, 268, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 1790, 328, 454, 1038, 8640, 20842, 574, 3578, 283, 268, 274, 265, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 268, 273, 265, 7032, 454, 1038, 1582, 4732, 332, 288, 343, 529, 14352, 294, 265, 28588, 22709, 265, 1345, 269, 704, 1675, 1262, 273, 14370, 275, 265, 7032, 1262, 273, 4297, 1262, 263, 272, 269, 271, 270, 274, 994, 1038, 1582, 7456, 9850, 284, 1345, 4732, 332, 288, 343, 529, 16732, 272, 3887, 764, 1262, 273, 994, 1038, 1582, 269, 767, 6290, 14352, 294, 265, 28588, 22709, 16732, 273, 270, 1345, 7456, 9850, 268, 272, 270, 1345, 4732, 332, 288, 343, 529, 4297, 1262, 263, 271, 269, 276, 994, 1038, 1582, 11859, 284, 271, 269, 271, 454, 1038, 1582, 13885, 284, 271, 269, 271, 454, 1038, 1582, 269, 345, 284, 271, 269, 271, 454, 1038, 1948, 4120, 568, 538, 519, 20771, 7077, 530, 4135, 519, 1535, 7852, 454, 1038, 1582, 269, 4120, 284, 7032, 270, 273, 454, 1038, 1582, 6155, 2700, 284, 1345, 7456, 9850, 14370, 272, 266, 324, 764, 265, 6523, 4311, 269, 4120, 266, 1345, 269, 1794, 2889, 329, 4917, 1038, 1948, 659, 5120, 566, 1813, 547, 824, 10785, 568, 13005, 543, 621, 5540, 546, 341, 267, 519, 1689, 538, 6991, 689, 2582, 4541, 10739, 454, 1038, 1582, 6155, 320, 284, 271, 269, 271, 454, 1038, 1582, 6155, 341, 284, 271, 269, 271, 454, 1038, 1948, 10520, 527, 568, 519, 18785, 585, 952, 519, 4541, 729, 1098, 1746, 593, 922, 2063, 1900, 454, 1038, 1582, 6745, 4920, 527, 284, 272, 454, 1038, 1948, 326, 1161, 519, 3803, 18302, 942, 585, 946, 538, 3328, 942, 9819, 454, 1038, 1582, 16096, 9558, 527, 284, 271, 454, 1038, 1948, 12248, 338, 1098, 1080, 454, 1038, 1582, 6745, 4920, 527, 290, 3300, 284, 271, 454, 1038, 1948, 1721, 946, 12719, 519, 6991, 6521, 15494, 267, 10739, 4831, 2306, 2386, 621, 13515, 12719, 593, 606, 8870, 1297, 540, 25057, 267, 10739, 1449, 2306, 621, 1039, 835, 585, 1142, 10739, 454, 1038, 1582, 18192, 4219, 284, 271, 269, 271, 454, 1038, 1582, 269, 528, 4226, 290, 3300, 284, 271, 454, 1038, 1582, 269, 528, 4226, 14818, 284, 272, 454, 1038, 1948, 3147, 13707, 543, 934, 13614, 568, 1031, 547, 5173, 875, 2462, 3268, 649, 1058, 946, 454, 1038, 1582, 269, 3147, 13707, 284, 271, 269, 271, 454, 1038, 1582, 269, 3147, 13614, 284, 271, 269, 271, 454, 1038, 1948, 19049, 568, 519, 21163, 2450, 602, 1058, 581, 3144, 2687, 547, 602, 4541, 454, 1038, 1582, 6155, 339, 284, 271, 269, 271, 454, 1038, 1948, 1721, 12719, 642, 4219, 454, 1038, 1582, 6155, 341, 4289, 17342, 2639, 1038, 1948, 320, 1592, 540, 950, 519, 1098, 1080, 2049, 454, 1038, 1582, 6745, 4920, 527, 307, 1307, 17342, 2639, 1038, 1582, 18502, 2071, 20540, 284, 271, 269, 271, 454, 1038, 1948, 10849, 5703, 14263, 519, 7229, 2053, 585, 513, 5276, 900, 573, 1069, 529, 267, 713, 568, 1018, 568, 28367, 5555, 454, 1038, 1582, 269, 7631, 19895, 17342, 2639, 1038, 1948, 24824, 8953, 568, 519, 8953, 1106, 513, 4541, 602, 922, 8904, 786, 20441, 865, 25057, 4927, 581, 18633, 952, 713, 568, 6603, 630, 21671, 2731, 4570, 585, 1970, 552, 764, 13011, 640, 264, 1210, 519, 10545, 8953, 547, 581, 2386, 621, 786, 581, 18633, 454, 1038, 1582, 19544, 650, 20238, 3780, 14352, 1345, 7456, 9850, 14370, 272, 266, 324, 764, 4297, 16732, 1345, 6230, 817, 14370, 274, 265, 28588, 22709, 4297, 1262, 263, 272, 269, 271, 270, 274, 994, 258, 27889, 3147, 17839, 564, 21410, 519, 10231, 265, 1813, 547, 1142, 4541, 538, 519, 4287, 540, 2951, 269, 2608, 763, 10231, 855, 1510, 717, 610, 2527, 3769, 454, 3698, 2498, 3147, 17839, 564, 263, 4120, 267, 552, 764, 267, 3845, 267, 328, 267, 1794, 2889, 329, 267, 1794, 574, 3578, 267, 331, 9850, 21726, 272, 11971, 272, 267, 345, 272, 267, 1535, 273, 267, 586, 273, 267, 345, 273, 2187, 825, 1948, 20412, 730, 676, 15285, 454, 825, 15848, 284, 323, 2700, 265, 9230, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 9217, 12684, 6523, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 266, 1794, 2889, 329, 12684, 7562, 263, 1794, 574, 3578, 4297, 265, 323, 2700, 265, 324, 764, 265, 7562, 263, 4120, 266, 1794, 2889, 329, 8358, 331, 9850, 2275, 657, 9217, 12684, 6523, 263, 1794, 574, 3578, 12684, 7562, 263, 4120, 266, 1794, 2889, 329, 11924, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 7562, 263, 1794, 574, 3578, 4917, 825, 10085, 284, 323, 2700, 16732, 8987, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 9217, 12684, 7562, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 263, 1794, 574, 3578, 4297, 265, 323, 2700, 265, 324, 764, 265, 7562, 263, 4120, 266, 1794, 2889, 329, 8358, 331, 9850, 266, 6523, 9217, 12684, 7562, 263, 1794, 574, 3578, 12684, 7562, 263, 4120, 266, 1794, 2889, 329, 11924, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 263, 1794, 574, 3578, 4917, 825, 546, 345, 15871, 323, 2700, 265, 7562, 9217, 31618, 323, 2700, 265, 324, 764, 265, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 7562, 263, 4120, 266, 1794, 2889, 329, 8358, 331, 9850, 1606, 514, 263, 4120, 266, 1794, 2889, 329, 4917, 825, 678, 284, 9230, 343, 272, 14870, 273, 264, 1262, 273, 23444, 344, 272, 3917, 273, 264, 1262, 273, 23444, 345, 272, 22271, 273, 264, 1262, 273, 264, 1262, 263, 271, 269, 276, 264, 8931, 825, 2498, 3147, 17839, 564, 284, 9230, 343, 273, 14870, 272, 12684, 11459, 23444, 344, 273, 3917, 272, 12684, 11276, 23444, 345, 273, 22271, 272, 12684, 323, 345, 8358, 9230, 11459, 1262, 273, 266, 11276, 1262, 273, 266, 323, 345, 1262, 273, 264, 1262, 263, 271, 269, 276, 12684, 337, 1262, 274, 994, 825, 2132, 2498, 3147, 17839, 564, 454, 258, 10472, 3947, 519, 5086, 1063, 519, 2951, 4287, 543, 513, 17242, 952, 621, 941, 513, 5858, 267, 1031, 585, 12719, 519, 1689, 538, 5086, 543, 519, 18302, 3259, 267, 1655, 1031, 609, 2612, 6262, 657, 263, 4120, 276, 4297, 607, 621, 568, 1152, 7318, 585, 602, 865, 2484, 543, 1129, 6959, 949, 2049, 454, 3698, 5086, 276, 16216, 764, 267, 4120, 2187, 825, 1535, 272, 284, 6523, 263, 4120, 994, 825, 586, 272, 284, 7562, 263, 4120, 994, 825, 952, 630, 343, 272, 2525, 271, 543, 586, 272, 285, 271, 2187, 1038, 5086, 334, 284, 7032, 27408, 534, 8987, 263, 6523, 263, 4120, 11924, 324, 764, 8358, 7562, 263, 4120, 4917, 825, 8640, 630, 343, 272, 2525, 271, 543, 586, 272, 283, 271, 2187, 1038, 5086, 334, 15871, 27979, 8987, 263, 6523, 263, 4120, 11924, 324, 764, 8358, 7562, 263, 4120, 4917, 825, 8640, 630, 4120, 2525, 271, 610, 5086, 2525, 7032, 2187, 1038, 5086, 334, 284, 271, 454, 825, 3116, 912, 1038, 5086, 334, 284, 27979, 12169, 272, 24474, 272, 11924, 7032, 270, 273, 27408, 534, 8987, 263, 6523, 263, 4120, 11924, 324, 764, 8358, 7562, 263, 4120, 4917, 825, 2132, 5086, 334, 454, 258, 10472, 7024, 519, 5086, 602, 519, 18302, 6238, 263, 713, 5086, 568, 538, 519, 10739, 7077, 530, 4135, 519, 14282, 1448, 264, 901, 949, 4413, 513, 18302, 952, 519, 8953, 547, 10739, 5223, 568, 1932, 1507, 267, 786, 2328, 513, 546, 15157, 564, 528, 585, 713, 28069, 454, 3698, 18302, 9359, 10857, 9850, 267, 324, 764, 267, 4532, 267, 1794, 574, 3578, 267, 1794, 2889, 329, 267, 337, 335, 21726, 338, 267, 345, 338, 267, 3464, 267, 2181, 17800, 267, 4120, 272, 2187, 825, 1948, 338, 1828, 3788, 476, 271, 269, 271, 952, 1100, 18302, 4386, 454, 825, 3070, 284, 271, 269, 271, 454, 825, 1948, 323, 2700, 568, 2965, 3845, 689, 4541, 547, 3141, 16302, 14263, 519, 519, 2234, 4512, 2040, 16302, 865, 814, 4559, 544, 317, 273, 454, 825, 3845, 284, 9230, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120, 272, 4297, 31618, 6523, 263, 4120, 272, 12684, 6523, 263, 4532, 12684, 6523, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 272, 12684, 7562, 263, 1794, 574, 3578, 4297, 268, 343, 338, 264, 1262, 273, 266, 9230, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120, 272, 4297, 12684, 7562, 263, 4532, 12684, 6523, 263, 4120, 272, 9984, 345, 338, 264, 1262, 273, 24179, 337, 335, 266, 3464, 264, 1262, 273, 454, 825, 1948, 338, 1115, 1376, 547, 581, 2953, 7620, 267, 1376, 284, 272, 952, 18302, 568, 1055, 8931, 825, 952, 3845, 2525, 11274, 5560, 2700, 264, 610, 630, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120, 272, 268, 1794, 2889, 329, 4297, 12684, 8987, 6523, 263, 4120, 272, 268, 1794, 2889, 329, 12684, 6523, 263, 4532, 12684, 7562, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 272, 268, 1794, 2889, 329, 12684, 7562, 263, 1794, 574, 3578, 4297, 283, 271, 912, 1038, 1376, 284, 272, 454, 825, 3116, 912, 1038, 1376, 284, 271, 454, 825, 1948, 5632, 322, 783, 1540, 3845, 585, 1169, 5086, 267, 1031, 476, 1911, 1822, 547, 7620, 5173, 585, 519, 2898, 5858, 267, 476, 1911, 876, 568, 519, 521, 2114, 6638, 621, 666, 3713, 547, 267, 952, 519, 5223, 540, 8953, 547, 10739, 568, 4130, 982, 713, 519, 18302, 949, 581, 14406, 269, 901, 786, 581, 711, 27809, 607, 519, 18302, 786, 2161, 621, 814, 522, 3259, 855, 568, 1869, 9571, 3097, 825, 585, 513, 538, 2039, 263, 271, 267, 1911, 876, 2187, 1038, 5086, 815, 513, 265, 273, 265, 7032, 14370, 2181, 17800, 265, 1911, 876, 11924, 4120, 272, 825, 454, 1038, 1948, 604, 621, 568, 538, 519, 10739, 1491, 513, 1900, 1394, 543, 798, 621, 1586, 476, 1015, 2053, 607, 5730, 2394, 519, 8856, 568, 6603, 267, 1287, 621, 7024, 519, 5086, 555, 709, 327, 519, 17787, 454, 1038, 3845, 284, 9230, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10520, 1438, 8231, 268, 6440, 1440, 2213, 12664, 267, 910, 6440, 1440, 529, 12664, 532, 454, 268, 547, 2097, 2390, 10393, 610, 30122, 282, 1491, 796, 1177, 4100, 454, 268, 547, 4323, 610, 7001, 10393, 543, 1510, 9963, 454, 268, 547, 2014, 547, 1745, 4898, 610, 22035, 7321, 676, 1373, 6397, 454, 268, 547, 1459, 630, 16341, 821, 264, 30122, 609, 513, 10516, 267, 3092, 563, 268, 547, 2014, 676, 930, 6397, 2962, 547, 798, 610, 2161, 1945, 26516, 281, 547, 9983, 2576, 883, 606, 16075, 454, 268, 547, 3142, 856, 610, 29360, 676, 971, 1797, 281, 547, 9983, 606, 16075, 689, 2576, 454, 27670, 540, 9983, 29557, 2296, 1147, 335, 787, 11420, 689, 6196, 3943, 5105, 529, 267, 2250, 32096, 540, 22408, 2181, 526, 516, 267, 547, 9983, 267, 1491, 562, 6260, 689, 1147, 268, 630, 5408, 1147, 268, 264, 1341, 840, 526, 516, 267, 547, 1491, 630, 5408, 16101, 994, 268, 3767, 27824, 519, 957, 540, 9670, 610, 2921, 796, 1177, 4100, 454, 268, 606, 6397, 23069, 610, 4323, 454, 268, 519, 1533, 540, 1373, 14281, 282, 513, 4743, 26901, 539, 676, 1945, 8966, 610, 6397, 282, 4898, 610, 22035, 7321, 454, 268, 1945, 602, 26208, 1317, 6397, 267, 8966, 267, 3092, 563, 339, 820, 676, 9983, 454, 268, 547, 2097, 2390, 10393, 610, 1510, 9963, 454, 268, 547, 993, 10270, 282, 4230, 895, 0, 21812, 281, 22816, 756, 23697, 476, 1001, 274, 454, 10831, 540, 3817, 281, 476, 4649, 273, 454, 14549, 17550, 568, 519, 1353, 540, 519, 8647, 540, 519, 3339, 1560, 267, 543, 568, 3743, 585, 10503, 875, 1585, 1949, 540, 519, 1480, 1560, 960, 269, 901, 1837, 2488, 606, 2606, 7778, 540, 519, 25029, 540, 519, 1480, 1560, 267, 609, 606, 4674, 547, 2721, 4296, 1063, 519, 1560, 1949, 543, 2491, 741, 22524, 2570, 4293, 269, 589, 5943, 585, 519, 1433, 568, 27921, 543, 875, 519, 1560, 15387, 3666, 1369, 1142, 1062, 269, 901, 568, 5497, 607, 513, 1101, 4367, 547, 17550, 585, 513, 2852, 7400, 1576, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 590, 926, 6390, 1488, 7702, 630, 539, 4700, 910, 769, 24728, 454, 27860, 814, 1585, 3252, 538, 519, 1560, 267, 1519, 519, 10307, 540, 5135, 538, 513, 3099, 540, 23020, 3157, 269, 901, 1433, 568, 8039, 543, 26564, 2487, 7835, 538, 938, 1620, 540, 4401, 3560, 543, 4859, 538, 2713, 1949, 563, 2421, 7671, 3683, 2023, 910, 1977, 3883, 7577, 454, 1607, 3119, 1837, 540, 4294, 17550, 5205, 513, 2067, 1931, 540, 2126, 269, 769, 1142, 1641, 10026, 26715, 5013, 616, 4843, 538, 513, 6073, 799, 791, 19843, 1599, 2864, 982, 1106, 267, 543, 689, 519, 1106, 4330, 24283, 519, 1599, 563, 2421, 3057, 1176, 333, 808, 269, 595, 760, 3326, 320, 910, 21546, 1299, 22110, 23051, 5020, 7070, 454, 1607, 1433, 6257, 7293, 543, 6198, 3601, 540, 519, 19548, 10009, 602, 616, 2189, 547, 519, 2634, 267, 606, 1418, 609, 1164, 10894, 7569, 267, 543, 519, 991, 585, 9395, 1216, 543, 9357, 27921, 269, 4201, 648, 326, 1637, 568, 14733, 538, 519, 2634, 4429, 2421, 19124, 670, 3326, 529, 3798, 11276, 910, 1977, 3883, 3213, 563, 1607, 1433, 4564, 513, 5542, 540, 8097, 2339, 267, 9862, 547, 519, 2085, 540, 10026, 1053, 540, 519, 1641, 543, 799, 786, 1459, 519, 5013, 540, 17550, 538, 513, 6405, 1106, 269, 901, 568, 606, 3801, 547, 1747, 519, 1641, 593, 606, 8097, 4493, 269, 0, 14722, 723, 2097, 547, 1174, 602, 18784, 543, 2582, 1591, 539, 7103, 723, 4625, 13856, 3047, 781, 1949, 543, 9979, 2429, 12105, 1686, 269, 661, 4338, 306, 21777, 595, 4592, 2421, 2022, 4777, 28118, 8284, 15039, 16474, 704, 568, 3843, 547, 1174, 875, 543, 950, 789, 2968, 2111, 547, 798, 602, 563, 300, 558, 704, 3081, 1352, 814, 1044, 5461, 538, 2825, 8762, 5735, 267, 610, 875, 649, 2170, 609, 938, 1604, 2094, 1352, 729, 1360, 267, 1360, 2370, 269, 19663, 909, 593, 513, 3484, 538, 7013, 16713, 1352, 3081, 1200, 4651, 729, 2141, 19234, 609, 1018, 2371, 543, 4054, 646, 1223, 1205, 547, 1332, 972, 267, 543, 538, 1880, 875, 646, 1223, 1332, 873, 1732, 610, 811, 7561, 269, 834, 296, 1589, 602, 729, 1018, 8385, 6273, 538, 803, 513, 7279, 827, 875, 938, 1604, 2965, 1568, 267, 875, 649, 2170, 609, 621, 267, 543, 519, 9238, 540, 3621, 17634, 257, 16474, 704, 6645, 803, 269, 834, 2026, 594, 8057, 4587, 543, 19927, 811, 7350, 267, 594, 4362, 519, 8789, 1909, 2582, 1591, 539, 7103, 1404, 593, 938, 4541, 543, 865, 267, 5051, 267, 594, 1336, 8885, 16462, 547, 1174, 811, 827, 891, 16080, 1242, 5716, 538, 3047, 781, 1604, 4799, 300, 558, 704, 4682, 547, 6115, 2160, 538, 853, 8402, 547, 798, 606, 15938, 4110, 538, 7350, 269, 2701, 3081, 267, 834, 5445, 1185, 1390, 2030, 7350, 543, 2523, 2030, 1979, 17190, 3292, 543, 891, 2620, 2989, 676, 22906, 609, 875, 15591, 1568, 543, 519, 6127, 5817, 875, 2371, 1332, 543, 16196, 1701, 589, 6612, 547, 20647, 538, 2825, 8762, 5735, 267, 6038, 4412, 8215, 16474, 704, 547, 519, 2160, 540, 8828, 4993, 543, 513, 12854, 538, 7636, 543, 8762, 5735, 269, 2311, 2475, 290, 267, 10169, 676, 4960, 267, 16474, 704, 1336, 9887, 538, 513, 8047, 602, 729, 851, 540, 8331, 781, 8330, 13681, 5735, 4659, 269, 901, 7856, 1382, 3919, 3964, 538, 476, 1960, 279, 676, 8331, 834, 1729, 1020, 519, 2361, 540, 4230, 13681, 5735, 543, 1683, 513, 3621, 5943, 585, 8184, 13485, 257, 814, 513, 11078, 834, 27161, 257, 538, 661, 4338, 306, 693, 20037, 17959, 540, 13216, 5020, 267, 543, 621, 729, 998, 713, 4276, 602, 16474, 704, 1558, 661, 4338, 306, 20485, 23011, 5681, 332, 976, 267, 18000, 10937, 18548, 752, 267, 543, 15535, 9050, 333, 1512, 543, 3357, 909, 609, 519, 2022, 4777, 28118, 31776, 11556, 602, 17956, 519, 595, 4592, 2421, 26665, 23050, 585, 1200, 563, 257, 7069, 1382, 6212, 593, 1210, 9190, 11646, 15971, 538, 519, 27230, 2250, 547, 1526, 1778, 519, 7389, 950, 2629, 8311, 3359, 21256, 267, 585, 1383, 5135, 545, 15591, 267, 519, 10307, 602, 814, 4847, 1950, 1272, 630, 10175, 540, 1576, 3425, 1070, 547, 8451, 593, 938, 4541, 269, 24613, 1394, 1256, 2417, 538, 942, 267, 649, 616, 849, 3168, 547, 8930, 1524, 519, 4417, 540, 2584, 582, 15577, 267, 519, 10307, 1031, 676, 1169, 2582, 3039, 2030, 593, 938, 4541, 2221, 267, 855, 8385, 267, 17542, 540, 1296, 3516, 267, 513, 9190, 10307, 2437, 16474, 704, 6941, 563, 3383, 875, 666, 649, 946, 2413, 9190, 25450, 547, 1174, 1018, 5949, 17542, 540, 1296, 3516, 286, 834, 23777, 1227, 649, 1522, 1589, 540, 12105, 1686, 607, 1373, 6592, 538, 519, 4224, 2594, 267, 543, 621, 568, 267, 2705, 12105, 1686, 568, 849, 6592, 538, 519, 5027, 543, 11646, 9696, 540, 3504, 9190, 1899, 1137, 2437, 6941, 16474, 704, 269, 834, 294, 2958, 9050, 333, 1512, 568, 513, 22082, 540, 713, 2186, 540, 11646, 1759, 7636, 6580, 269, 32081, 9696, 666, 581, 1031, 607, 513, 26567, 4786, 610, 11015, 1369, 799, 649, 666, 4266, 12105, 2621, 269, 594, 6415, 12394, 547, 1332, 4551, 538, 519, 8047, 602, 649, 1589, 941, 3743, 585, 891, 1158, 4657, 8311, 3359, 910, 938, 2693, 10457, 910, 543, 960, 609, 9050, 333, 1512, 547, 1020, 2645, 543, 2553, 585, 15971, 741, 25450, 4799, 300, 558, 704, 781, 3804, 568, 547, 581, 2111, 547, 1491, 2898, 25450, 543, 5635, 873, 1996, 824, 11397, 569, 1644, 9190, 25450, 267, 3504, 7184, 4839, 4221, 1899, 1137, 267, 543, 998, 602, 6476, 1526, 1778, 7389, 585, 519, 4417, 540, 1142, 1362, 540, 8311, 3359, 454, 9202, 22831, 11646, 15971, 814, 3361, 519, 2179, 540, 1239, 2139, 1239, 547, 6777, 4252, 269, 834, 763, 1483, 4161, 538, 1250, 1788, 267, 543, 538, 519, 2898, 2361, 540, 22308, 2079, 1318, 1631, 267, 568, 519, 1297, 540, 11646, 9696, 2139, 814, 2484, 856, 560, 686, 5529, 519, 4390, 540, 519, 6915, 514, 845, 1738, 2645, 2877, 547, 12260, 519, 1344, 23876, 972, 269, 15535, 9050, 333, 1512, 568, 513, 22082, 538, 713, 910, 799, 568, 513, 1883, 2601, 1946, 594, 4941, 547, 960, 609, 1864, 547, 1174, 875, 547, 8415, 519, 1239, 594, 993, 11018, 607, 7561, 543, 3927, 607, 2009, 563, 300, 558, 704, 3081, 1352, 568, 9090, 1360, 18507, 585, 519, 4316, 519, 595, 4592, 2421, 26665, 23050, 568, 4758, 1200, 269, 834, 2005, 729, 513, 5458, 9983, 950, 594, 1336, 856, 602, 594, 1185, 4607, 519, 31776, 269, 1924, 2484, 621, 814, 1044, 513, 2731, 5140, 1995, 543, 594, 993, 1360, 9599, 547, 1294, 1018, 519, 1985, 1079, 1296, 3142, 4799, 19285, 1152, 8452, 538, 5181, 855, 594, 2648, 1373, 693, 20037, 269, 634, 661, 4338, 306, 6989, 540, 8490, 661, 1839, 8075, 3670, 22475, 1142, 3257, 1114, 1382, 267, 782, 1369, 519, 19236, 9443, 267, 543, 519, 7391, 602, 596, 1439, 909, 2348, 1175, 538, 519, 10689, 1259, 610, 693, 12899, 616, 865, 18398, 543, 3309, 269, 898, 3085, 1405, 2141, 723, 547, 581, 827, 2257, 267, 855, 972, 781, 2141, 513, 4195, 2856, 547, 581, 14437, 827, 269, 594, 723, 849, 1336, 602, 519, 1489, 1934, 585, 519, 2022, 4777, 28118, 2146, 568, 2731, 27314, 269, 898, 781, 519, 1655, 594, 4312, 4810, 269, 594, 1589, 602, 20037, 7028, 741, 10927, 1053, 543, 741, 2022, 25269, 338, 2731, 267, 1360, 1134, 4799, 763, 654, 269, 744, 269, 595, 4592, 2421, 5403, 4777, 28118, 26665, 23050, 7028, 11108, 2038, 13282, 518, 3744, 609, 1382, 4690, 538, 519, 4610, 540, 20569, 267, 2520, 17190, 267, 610, 2520, 984, 5735, 269, 595, 4592, 2421, 26665, 3298, 11654, 4830, 1382, 855, 3335, 849, 12840, 609, 835, 610, 811, 3173, 538, 519, 8257, 269, 0, 763, 3946, 723, 547, 22036, 513, 1390, 4308, 540, 8886, 908, 3871, 543, 6878, 1142, 1554, 269, 634, 2960, 890, 9934, 1472, 18969, 543, 5250, 540, 3819, 2960, 538, 543, 1472, 519, 9491, 1716, 5661, 538, 519, 3337, 540, 11315, 31840, 610, 22696, 1375, 569, 2759, 2873, 666, 1831, 513, 8273, 3390, 952, 5739, 4551, 4283, 998, 519, 29618, 2960, 269, 901, 568, 1946, 621, 568, 1271, 547, 1416, 585, 713, 2960, 1858, 563, 276, 15486, 543, 4256, 4856, 22046, 532, 32192, 540, 16164, 3212, 9934, 15907, 715, 5661, 454, 306, 7219, 890, 9934, 1472, 18969, 666, 1267, 689, 513, 1297, 540, 4128, 269, 898, 666, 2901, 581, 1813, 547, 3968, 267, 7928, 11067, 540, 3946, 1510, 1210, 513, 1434, 5848, 584, 6500, 267, 610, 1317, 540, 513, 3978, 4835, 2068, 269, 898, 568, 2352, 547, 13209, 1018, 519, 1966, 568, 1510, 519, 1702, 540, 519, 2564, 1686, 610, 6616, 519, 2143, 2272, 540, 519, 2960, 3510, 269, 634, 1739, 616, 476, 276, 21483, 3123, 543, 741, 7222, 5574, 563, 26452, 2010, 540, 23480, 666, 2014, 3978, 2960, 5114, 269, 22452, 547, 17970, 32432, 267, 946, 540, 1932, 1454, 12853, 344, 1216, 267, 1373, 13027, 547, 19695, 543, 3735, 343, 610, 16698, 3361, 676, 30177, 543, 28052, 757, 666, 782, 2014, 890, 9934, 9491, 1716, 5661, 563, 2005, 568, 1655, 547, 3251, 2476, 689, 782, 519, 1761, 23480, 585, 513, 1974, 540, 476, 274, 547, 476, 275, 4374, 543, 1294, 952, 4376, 10607, 563, 289, 611, 13206, 527, 10778, 288, 8401, 4356, 666, 581, 519, 2707, 540, 519, 2192, 2783, 540, 707, 2759, 2873, 543, 18969, 269, 623, 10107, 610, 24146, 693, 2759, 2873, 543, 18969, 666, 2014, 3441, 547, 873, 543, 1522, 1256, 1267, 538, 513, 2960, 3968, 269, 12456, 3042, 610, 20754, 2960, 1522, 849, 581, 3361, 952, 519, 13793, 333, 5661, 616, 678, 5792, 1055, 3079, 540, 1373, 804, 5792, 9900, 693, 519, 5377, 1210, 513, 25062, 1907, 563, 2304, 2653, 3070, 585, 713, 1966, 568, 547, 3247, 16116, 610, 24146, 693, 519, 2759, 2873, 610, 18969, 269, 898, 949, 1491, 596, 1082, 2395, 547, 1205, 7759, 540, 3983, 6208, 267, 5225, 581, 3461, 563, 299, 871, 540, 30200, 454, 10144, 3494, 602, 6171, 610, 7513, 10638, 1522, 581, 519, 2601, 585, 519, 890, 9934, 2960, 1472, 18969, 269, 24511, 267, 519, 10638, 540, 891, 6886, 1152, 3123, 3819, 1145, 540, 2960, 2047, 267, 799, 568, 1034, 2693, 547, 1166, 820, 543, 1287, 22019, 1055, 538, 519, 1439, 563, 2005, 568, 1271, 547, 2327, 519, 6981, 540, 513, 7059, 2732, 602, 3091, 596, 519, 1318, 2179, 540, 8192, 6775, 267, 2635, 9600, 267, 11950, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 2746, 1218, 563, 8340, 2037, 11209, 6853, 3992, 4566, 543, 3211, 269, 1358, 5173, 6678, 531, 6853, 543, 23811, 2242, 585, 1114, 6547, 543, 4766, 4191, 540, 1689, 538, 1114, 3871, 269, 901, 5192, 5131, 7457, 6423, 5623, 1053, 5173, 519, 3044, 6678, 531, 6853, 1689, 585, 519, 1114, 13674, 6547, 563, 1607, 4976, 814, 476, 274, 2042, 547, 4194, 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 ]
[ 0, 258, 27387, 281, 9208, 8061, 2747, 543, 7352, 753, 692, 272, 269, 12361, 9208, 8061, 2747, 543, 7352, 753, 692, 296, 1101, 540, 782, 23294, 1125, 952, 713, 568, 519, 4636, 7121, 269, 901, 568, 585, 513, 6465, 923, 1362, 693, 2852, 1377, 267, 855, 2596, 7194, 780, 296, 993, 2731, 2348, 513, 2182, 942, 543, 14845, 8885, 950, 621, 2501, 547, 519, 3044, 11539, 543, 7648, 269, 634, 12596, 630, 4777, 519, 1655, 594, 666, 1510, 519, 10569, 2877, 593, 519, 13691, 264, 616, 1384, 302, 273, 332, 815, 744, 273, 16302, 1315, 715, 910, 713, 568, 13065, 692, 25537, 815, 713, 568, 3044, 11539, 630, 20598, 11539, 1315, 715, 16302, 815, 3044, 11539, 2020, 2691, 2016, 513, 1966, 616, 649, 581, 2016, 835, 610, 519, 824, 547, 18287, 10663, 543, 1287, 3136, 609, 519, 1964, 540, 519, 3268, 269, 1280, 1383, 952, 594, 993, 2016, 519, 3044, 11539, 540, 476, 279, 543, 1250, 715, 815, 476, 1015, 1287, 476, 279, 270, 1015, 815, 1547, 3199, 865, 713, 1131, 581, 1250, 3044, 11539, 780, 25898, 594, 849, 1287, 18287, 10663, 513, 13065, 610, 610, 568, 602, 1152, 952, 596, 616, 2016, 519, 13065, 538, 519, 1966, 596, 1131, 1287, 946, 519, 4542, 547, 3313, 707, 13065, 780, 1607, 568, 519, 1152, 851, 594, 993, 2348, 513, 2731, 2182, 942, 30230, 4771, 269, 772, 724, 780, 273, 269, 28982, 29237, 18578, 344, 780, 763, 1966, 4667, 547, 581, 519, 16166, 454, 4131, 4399, 6234, 1422, 18406, 317, 273, 259, 581, 519, 13065, 540, 835, 8343, 2436, 602, 338, 4399, 6234, 2473, 318, 272, 259, 610, 4399, 6234, 2473, 318, 273, 259, 19601, 2005, 781, 519, 13065, 540, 1142, 835, 540, 873, 780, 301, 8582, 519, 3732, 1611, 568, 4399, 6234, 1422, 8663, 2473, 28121, 311, 318, 272, 266, 1862, 266, 311, 5332, 315, 1478, 562, 10592, 663, 519, 13065, 540, 4399, 6234, 1422, 8663, 2473, 259, 568, 4399, 6234, 1422, 18406, 317, 273, 14672, 6911, 663, 519, 588, 11539, 540, 4399, 6234, 1422, 8663, 2473, 259, 568, 4399, 6234, 1422, 18406, 270, 315, 6912, 23533, 10592, 274, 269, 20323, 17397, 676, 5740, 564, 12786, 454, 1607, 568, 585, 513, 6465, 923, 1362, 693, 2852, 1377, 454, 1805, 18267, 11631, 286, 594, 2219, 596, 4941, 547, 581, 513, 12016, 267, 711, 606, 11653, 780, 23192, 17397, 676, 1319, 515, 14410, 454, 15916, 29237, 18578, 344, 563, 327, 1695, 1695, 21036, 692, 275, 269, 8729, 585, 707, 948, 1319, 515, 14410, 692, 2304, 7716, 3585, 267, 3972, 803, 952, 621, 941, 909, 547, 803, 594, 9327, 1405, 581, 2921, 7194, 855, 621, 568, 2838, 585, 513, 645, 17928, 256, 2439, 15124, 3135, 676, 519, 1259, 8627, 2439, 276, 269, 1411, 2811, 10950, 267, 1250, 2828, 1289, 803, 519, 581, 14410, 267, 2110, 585, 2979, 2041, 14410, 1250, 7369, 24178, 454, 296, 4194, 2979, 2042, 1282, 519, 1554, 543, 4339, 6760, 693, 3781, 454, 7224, 7227, 267, 621, 781, 519, 824, 1259, 1472, 0, 1892, 1948, 2243, 318, 24987, 589, 6337, 17567, 17285, 2627, 814, 960, 1599, 267, 1269, 327, 20867, 13997, 341, 13925, 271, 3686, 269, 259, 2252, 22726, 540, 1648, 259, 273, 327, 13997, 341, 13925, 271, 22288, 6420, 593, 713, 2627, 267, 519, 9211, 2097, 856, 609, 513, 5021, 6991, 540, 259, 275, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 269, 259, 2691, 519, 27141, 1648, 568, 2799, 547, 259, 276, 327, 13997, 341, 13925, 271, 3686, 267, 259, 6533, 5021, 6991, 540, 2584, 29741, 6425, 786, 581, 589, 264, 1269, 273, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 259, 289, 264, 1269, 273, 24585, 2715, 346, 1015, 8703, 278, 14990, 267, 332, 4882, 259, 290, 264, 1269, 279, 24585, 2715, 346, 1015, 8703, 276, 14990, 267, 332, 4882, 259, 291, 264, 1269, 279, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 6911, 292, 14852, 781, 2584, 29090, 3830, 666, 581, 2854, 607, 4399, 2765, 346, 272, 2410, 273, 348, 332, 13997, 341, 8703, 273, 3686, 284, 327, 341, 10559, 12978, 259, 4399, 23976, 11377, 2765, 346, 272, 2410, 273, 348, 332, 24585, 2715, 18950, 275, 24585, 2715, 346, 1015, 8703, 277, 3686, 264, 8703, 273, 3686, 284, 273, 327, 13997, 341, 13925, 271, 3686, 268, 327, 13997, 341, 13925, 271, 22288, 7673, 3396, 1741, 476, 3396, 1109, 630, 328, 264, 543, 4399, 2765, 346, 272, 2410, 273, 348, 332, 24585, 2715, 346, 341, 8703, 273, 3686, 284, 276, 327, 13997, 341, 13925, 271, 3686, 268, 327, 13997, 341, 13925, 271, 22288, 18987, 3396, 1741, 630, 4512, 264, 29435, 532, 26169, 269, 630, 4512, 264, 676, 630, 328, 1070, 649, 1205, 4399, 2765, 13997, 346, 341, 8703, 273, 3686, 2410, 13997, 263, 275, 24585, 2715, 346, 1015, 8703, 277, 3686, 264, 8703, 273, 3686, 18098, 2765, 346, 275, 327, 13997, 341, 13925, 271, 3686, 2410, 327, 13997, 341, 13925, 271, 3686, 4151, 4399, 23976, 2330, 13997, 341, 8703, 273, 3686, 284, 275, 24585, 476, 1626, 24585, 2715, 346, 1015, 8703, 1321, 14990, 23976, 1422, 12101, 267, 13997, 341, 8703, 273, 3686, 284, 5038, 24585, 2715, 346, 1015, 8703, 1321, 22288, 4399, 23976, 2330, 341, 284, 279, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 259, 0, 258, 14572, 7215, 1210, 476, 1789, 268, 2568, 268, 3445, 2027, 1318, 12730, 692, 1012, 1548, 568, 513, 476, 1789, 268, 2568, 268, 3445, 6906, 2496, 3080, 540, 519, 1079, 2027, 1318, 12730, 596, 3580, 581, 6849, 538, 29890, 568, 519, 476, 1789, 268, 2568, 268, 3445, 6906, 269, 634, 824, 835, 568, 519, 476, 3393, 476, 3393, 476, 3445, 6906, 269, 1452, 12730, 616, 2027, 12730, 1317, 519, 5223, 540, 741, 5011, 616, 1634, 547, 721, 865, 649, 666, 1118, 946, 540, 713, 1344, 547, 948, 721, 538, 1318, 6906, 29890, 2042, 780, 1103, 519, 2013, 540, 519, 476, 1789, 268, 2568, 268, 3445, 6906, 267, 741, 2427, 779, 12753, 616, 476, 272, 2433, 476, 273, 2433, 21762, 274, 269, 1284, 3580, 6961, 602, 713, 568, 3020, 1101, 865, 602, 596, 666, 811, 3362, 3314, 519, 6906, 779, 3601, 780, 288, 476, 1789, 268, 2568, 268, 3445, 6906, 568, 2965, 3368, 540, 606, 31164, 6906, 780, 31590, 4120, 13235, 3254, 1934, 568, 606, 31164, 6906, 269, 4595, 621, 781, 31164, 267, 1142, 540, 922, 476, 274, 7285, 616, 476, 2568, 5232, 6606, 269, 4706, 5011, 616, 849, 3160, 780, 2252, 649, 2721, 513, 1899, 5084, 1524, 519, 1647, 547, 20312, 624, 5086, 589, 883, 1079, 476, 1789, 4110, 7285, 267, 596, 666, 1631, 1294, 602, 519, 1079, 1007, 12730, 3330, 938, 3312, 6906, 616, 476, 1789, 268, 2568, 268, 3445, 12730, 780, 2171, 917, 602, 30183, 568, 1226, 6817, 547, 9823, 267, 799, 568, 849, 1226, 6817, 547, 3368, 540, 9474, 2094, 9474, 729, 8385, 1226, 6817, 547, 7460, 1354, 621, 729, 8237, 538, 3368, 269, 1924, 4061, 267, 519, 5223, 540, 30183, 2433, 9474, 568, 476, 272, 2433, 476, 273, 780, 7712, 649, 723, 513, 30494, 1813, 547, 519, 476, 3445, 4110, 5086, 602, 6818, 3330, 938, 6906, 267, 649, 666, 946, 519, 533, 17233, 17671, 11532, 547, 4137, 856, 519, 2063, 2427, 281, 5084, 780, 272, 317, 273, 1341, 5084, 9745, 273, 815, 476, 273, 317, 273, 692, 4696, 9745, 273, 815, 476, 275, 910, 476, 272, 692, 4696, 815, 21762, 476, 274, 692, 4517, 972, 596, 723, 621, 256, 1411, 1631, 917, 875, 782, 519, 5011, 540, 519, 476, 1789, 268, 2568, 268, 3445, 12730, 3357, 827, 269, 2913, 779, 1847, 593, 547, 6061, 1318, 12730, 609, 938, 1702, 593, 519, 5011, 685, 12753, 780, 1012, 16534, 585, 476, 1789, 476, 2568, 476, 3445, 6906, 692, 2080, 649, 723, 513, 476, 1789, 268, 2568, 268, 3445, 2027, 1318, 6906, 267, 609, 519, 1614, 9703, 7285, 540, 476, 1789, 267, 476, 2568, 267, 476, 3445, 5232, 269, 1284, 917, 602, 519, 3259, 540, 1142, 2427, 538, 713, 6906, 568, 538, 513, 6378, 5223, 269, 1284, 666, 1631, 946, 519, 5223, 547, 4194, 519, 1739, 1966, 780, 9223, 476, 272, 1384, 2252, 476, 1109, 286, 284, 1789, 286, 2073, 1265, 519, 3169, 1871, 540, 519, 1739, 4082, 1384, 7562, 476, 273, 2496, 11405, 1384, 7712, 7790, 815, 476, 1789, 29845, 5609, 476, 273, 286, 815, 5609, 476, 2568, 286, 780, 2171, 917, 602, 5609, 7790, 815, 6587, 1506, 13607, 26664, 692, 7712, 649, 616, 3168, 585, 519, 1871, 540, 5609, 476, 2568, 29845, 649, 616, 2469, 547, 1413, 693, 519, 476, 2568, 286, 5086, 538, 519, 2027, 6906, 543, 1265, 856, 519, 6587, 2427, 543, 30494, 540, 519, 5086, 269, 1656, 649, 1336, 602, 519, 6587, 2427, 815, 476, 274, 543, 519, 30494, 815, 476, 273, 269, 3973, 267, 649, 2322, 519, 2338, 883, 5609, 476, 2568, 286, 815, 6587, 1506, 13607, 26664, 269, 901, 3947, 721, 519, 3803, 2626, 540, 476, 3953, 692, 9223, 476, 273, 1384, 2252, 476, 1109, 286, 284, 2568, 286, 2073, 1265, 519, 3169, 1871, 540, 519, 1739, 4082, 1384, 275, 7562, 274, 286, 273, 692, 11405, 1384, 5575, 267, 649, 2322, 7790, 284, 2568, 286, 883, 476, 275, 7562, 274, 286, 273, 269, 1284, 1205, 692, 275, 7562, 274, 263, 2568, 273, 6661, 275, 7562, 274, 263, 1789, 2020, 5804, 519, 2027, 6906, 267, 649, 917, 602, 5609, 476, 1789, 286, 815, 476, 1321, 692, 10190, 267, 649, 666, 1631, 4194, 519, 12945, 3597, 1384, 275, 263, 1321, 264, 274, 284, 275, 263, 1240, 2020, 763, 3803, 2626, 568, 476, 1321, 692, 288, 1434, 2228, 4199, 547, 948, 596, 2638, 707, 960, 950, 621, 2501, 547, 476, 1789, 268, 2568, 268, 3445, 12730, 630, 528, 1256, 476, 3393, 476, 3393, 476, 3445, 568, 30801, 1318, 6906, 3283, 14386, 666, 581, 1336, 1934, 269, 1411, 666, 849, 1404, 2059, 609, 713, 2228, 27249, 476, 1789, 268, 2568, 268, 3445, 6906, 547, 1294, 875, 519, 5011, 1689, 1247, 9363, 538, 519, 476, 272, 2433, 476, 273, 2433, 21762, 274, 5223, 780, 2162, 14572, 7215, 1210, 476, 1789, 268, 2568, 268, 3445, 2027, 1318, 12730, 692, 2971, 16497, 692, 7445, 7562, 476, 1789, 23373, 15132, 815, 2715, 476, 272, 1422, 1478, 476, 273, 21456, 7445, 6523, 476, 1789, 23373, 15132, 815, 2715, 3189, 6912, 476, 274, 348, 1422, 1478, 476, 273, 21456, 7445, 11927, 476, 1789, 23373, 15132, 815, 2715, 272, 1422, 1478, 1422, 6912, 476, 274, 21456, 7445, 7562, 476, 2568, 23373, 15132, 284, 2715, 3189, 6912, 274, 348, 1422, 1478, 476, 273, 21456, 7445, 6523, 476, 2568, 23373, 15132, 284, 2715, 272, 1422, 1478, 476, 273, 21456, 7445, 11927, 476, 2568, 23373, 15132, 815, 2715, 3189, 6912, 476, 274, 348, 1422, 1478, 476, 272, 10592, 1892, 476, 272, 563, 1432, 616, 2027, 12730, 2496, 1892, 476, 273, 563, 2252, 4399, 9064, 815, 476, 1789, 23373, 15132, 8961, 1265, 519, 3169, 1871, 540, 519, 1739, 7215, 563, 320, 994, 7445, 7562, 476, 273, 1422, 9064, 6911, 321, 994, 7445, 6523, 317, 273, 476, 273, 1422, 9064, 6911, 322, 994, 259, 346, 3189, 11927, 317, 273, 1422, 9064, 348, 1422, 1478, 476, 273, 10592, 1892, 476, 274, 563, 2252, 4399, 9064, 815, 476, 2568, 23373, 15132, 8961, 1265, 519, 3169, 1871, 540, 519, 1739, 7215, 563, 320, 994, 259, 275, 1422, 7562, 317, 274, 11513, 9064, 1422, 1478, 476, 273, 10592, 321, 994, 259, 346, 273, 1422, 1478, 2715, 346, 274, 1422, 6523, 317, 273, 2410, 1422, 9064, 1422, 1478, 476, 273, 3686, 10592, 322, 994, 259, 274, 1422, 11927, 317, 274, 11513, 9064, 1422, 1478, 476, 273, 4151, 0, 1012, 23990, 692, 19370, 8745, 281, 476, 5002, 269, 681, 27654, 645, 1080, 692, 305, 27654, 11353, 540, 513, 2016, 476, 3953, 11353, 5667, 11220, 8870, 780, 9616, 1384, 1892, 8074, 602, 538, 930, 4654, 267, 971, 607, 10084, 267, 972, 568, 1100, 5667, 11220, 8870, 1826, 269, 769, 713, 2013, 267, 1312, 3403, 543, 3977, 786, 581, 2016, 607, 513, 9896, 8870, 1826, 269, 1358, 1058, 711, 1860, 707, 6388, 267, 607, 519, 8870, 781, 4835, 9352, 6041, 568, 519, 1482, 267, 2436, 621, 568, 9896, 610, 5667, 11220, 563, 1892, 769, 10084, 267, 519, 29085, 4564, 519, 9896, 9981, 1210, 476, 273, 781, 9148, 10035, 269, 4475, 267, 538, 7151, 476, 273, 1657, 267, 519, 3403, 4564, 519, 9896, 8870, 2387, 268, 274, 319, 543, 519, 3977, 4564, 519, 9896, 8870, 2387, 268, 13040, 4391, 275, 9264, 276, 27471, 7078, 476, 272, 1384, 3499 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4559, 269, 1284, 9364, 723, 476, 5655, 6357, 848, 1321, 264, 4893, 334, 5498, 6948, 829, 1554, 585, 1383, 780, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 1492, 678, 1380, 2103, 2965, 3323, 3384, 513, 959, 2435, 2780, 267, 855, 4769, 1405, 1205, 1932, 2484, 609, 621, 692, 314, 1700, 316, 476, 2537, 2798, 2190, 2798, 2608, 1109, 263, 273, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 295, 8960, 519, 4661, 585, 476, 1321, 2306, 803, 1589, 519, 15529, 8559, 1058, 979, 1454, 4514, 593, 713, 1888, 269, 476, 1321, 2306, 513, 1434, 3490, 585, 12980, 1317, 621, 814, 865, 1082, 16975, 267, 543, 621, 814, 865, 1082, 16975, 1317, 540, 922, 9120, 6305, 5888, 780, 1321, 284, 476, 2420, 2608, 476, 4029, 2073, 2495, 596, 666, 4020, 476, 274, 256, 2898, 2338, 602, 960, 28426, 609, 707, 3490, 269, 1403, 649, 666, 25837, 538, 811, 3982, 22136, 267, 543, 2362, 7060, 540, 1346, 22136, 267, 649, 4440, 1205, 811, 4277, 818, 603, 5471, 673, 3347, 269, 769, 513, 3490, 476, 7906, 2608, 476, 3953, 2608, 476, 2537, 815, 476, 11740, 1062, 972, 616, 476, 277, 256, 13561, 32545, 538, 1142, 1297, 12835, 780, 3849, 4784, 569, 267, 713, 4667, 899, 513, 28457, 748, 2450, 585, 513, 10230, 4994, 267, 855, 519, 1297, 540, 3982, 24069, 538, 1082, 7489, 2854, 4654, 10522, 602, 1256, 952, 476, 11740, 568, 11207, 791, 24411, 267, 649, 666, 1869, 798, 693, 2547, 513, 2603, 1732, 982, 476, 1015, 10230, 3197, 780, 1103, 1249, 267, 649, 1522, 581, 2111, 547, 4020, 938, 1297, 1606, 5296, 25401, 547, 6451, 2834, 1273, 1562, 602, 1312, 5351, 8223, 270, 18586, 543, 1450, 585, 4277, 7592, 543, 15361, 585, 2324, 4238, 1063, 1367, 9704, 269, 631, 697, 713, 5512, 4990, 540, 513, 17326, 7645, 5834, 540, 695, 2180, 663, 13004, 2496, 339, 331, 282, 20142, 910, 1306, 594, 729, 17511, 713, 267, 594, 2731, 3323, 547, 8969, 594, 4312, 1044, 12008, 2614, 269, 594, 666, 1589, 540, 3833, 513, 1906, 1843, 687, 547, 519, 1657, 30255, 10612, 5326, 267, 543, 594, 3513, 914, 1256, 789, 616, 3648, 1447, 4570, 982, 519, 1843, 687, 596, 3513, 4440, 2097, 909, 609, 13718, 265, 342, 1550, 267, 2022, 692, 539, 527, 1317, 594, 1185, 519, 4636, 1871, 585, 519, 2450, 540, 1250, 3490, 267, 543, 849, 547, 7866, 594, 6415, 15069, 4636, 827, 519, 2078, 1063, 630, 15893, 540, 6305, 10659, 264, 27353, 543, 8870, 16975, 267, 2094, 476, 277, 256, 285, 11740, 692, 314, 1700, 316, 476, 274, 2798, 275, 2798, 476, 1109, 263, 272, 1126, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 28733, 569, 267, 649, 1058, 946, 3490, 476, 1704, 1317, 621, 568, 6305, 543, 1131, 1118, 1919, 2484, 811, 7294, 780, 314, 1700, 316, 476, 1240, 2798, 866, 2798, 2608, 1109, 263, 2420, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 293, 22324, 3364, 267, 585, 513, 1247, 519, 3504, 575, 872, 802, 14564, 1705, 946, 3490, 1321, 585, 741, 8454, 267, 789, 1131, 1293, 621, 856, 676, 11093, 519, 14853, 593, 835, 540, 519, 10549, 540, 519, 824, 476, 275, 11263, 269, 476, 1321, 2009, 9634, 2636, 596, 547, 1293, 547, 12964, 593, 1142, 1688, 269, 2334, 568, 1946, 649, 946, 476, 11740, 5232, 585, 513, 5858, 267, 519, 20770, 1014, 13478, 10179, 1014, 3490, 2568, 1062, 729, 3362, 10736, 547, 519, 4936, 3490, 1321, 1062, 585, 4128, 799, 28019, 2246, 923, 543, 813, 1194, 690, 4445, 4766, 1360, 1134, 2630, 780, 31171, 281, 5853, 930, 2959, 602, 23498, 909, 1250, 20893, 4445, 3965, 269, 14564, 711, 575, 872, 802, 267, 543, 3323, 538, 519, 2040, 518, 1014, 11486, 629, 14125, 1014, 1858, 1101, 780, 25899, 585, 4936, 3490, 476, 1321, 585, 8454, 692, 25899, 585, 4936, 9416, 10203, 692, 314, 1700, 316, 476, 2641, 2798, 2420, 2798, 476, 1109, 263, 1691, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 296, 2219, 621, 729, 1317, 20770, 2103, 1185, 3490, 476, 2568, 269, 3657, 596, 2386, 602, 781, 711, 519, 2013, 2496, 314, 1700, 316, 476, 1704, 2798, 1240, 2798, 476, 1109, 263, 1556, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 2791, 616, 2953, 269, 20770, 2103, 543, 5681, 518, 2103, 1185, 3490, 476, 2568, 1317, 621, 729, 519, 1297, 609, 519, 15864, 8954, 2225, 281, 676, 835, 267, 1079, 267, 1614, 267, 2185, 267, 2947, 267, 3670, 267, 4557, 267, 12964, 267, 19939, 267, 8938, 267, 13977, 543, 24239, 780, 314, 1700, 316, 476, 1724, 2798, 1691, 2798, 476, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 8133, 256, 898, 814, 547, 798, 609, 519, 8954, 2225, 256, 6555, 529, 2225, 568, 835, 540, 519, 1292, 5383, 540, 513, 3490, 1062, 547, 2015, 256, 10606, 602, 3112, 581, 6719, 607, 513, 2165, 3215, 8918, 616, 811, 2352, 547, 798, 9273, 609, 267, 2523, 1354, 5904, 2439, 6546, 568, 1946, 594, 3494, 3490, 476, 1321, 1131, 581, 519, 1034, 2500, 3490, 1062, 269, 594, 729, 6026, 713, 2856, 538, 1297, 3069, 543, 849, 1686, 540, 2979, 267, 543, 621, 2306, 2631, 547, 803, 780, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 278, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 529, 972, 1022, 1382, 883, 1946, 4010, 789, 8452, 693, 3490, 476, 2568, 286, 5221, 594, 3314, 2542, 12341, 621, 814, 547, 798, 609, 10203, 593, 11263, 607, 1134, 269, 1703, 616, 2653, 2081, 547, 1293, 547, 476, 2568, 593, 1079, 2947, 1922, 532, 1229, 3946, 630, 1492, 835, 1688, 10203, 547, 12964, 1505, 267, 4330, 1657, 267, 543, 519, 824, 1688, 10203, 23385, 540, 476, 1321, 6393, 314, 1700, 316, 476, 278, 2798, 279, 2798, 476, 1109, 263, 272, 1126, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 314, 1700, 316, 290, 4321, 3163, 1923, 5274, 17496, 1923, 3131, 24632, 9257, 476, 3607, 2798, 4391, 2798, 2608, 1109, 263, 274, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 3725, 707, 1448, 593, 1480, 17133, 1384, 21930, 12256, 267, 1875, 25993, 2831, 543, 4529, 602, 1810, 1405, 723, 6101, 1242, 6128, 1293, 593, 513, 32568, 4336, 269, 1280, 1383, 267, 519, 1297, 28870, 1063, 476, 272, 543, 476, 280, 1131, 581, 476, 274, 630, 613, 6248, 1611, 1070, 711, 476, 276, 630, 531, 5040, 545, 1611, 1040, 3371, 568, 519, 4466, 689, 25190, 976, 269, 1703, 616, 4440, 8100, 547, 824, 2249, 538, 519, 15853, 269, 3371, 781, 513, 2489, 7650, 540, 930, 4681, 689, 519, 1297, 6041, 11305, 870, 532, 3332, 780, 19950, 5944, 267, 713, 568, 849, 3020, 585, 12557, 630, 21865, 1572, 834, 2675, 531, 541, 12557, 20257, 1280, 1383, 267, 952, 596, 5721, 513, 3731, 547, 2046, 835, 11573, 547, 513, 2110, 630, 273, 338, 264, 3159, 543, 513, 1114, 11573, 547, 513, 1279, 630, 279, 338, 264, 3159, 267, 543, 1287, 1449, 18565, 540, 13591, 3259, 267, 519, 8653, 693, 799, 14148, 7903, 519, 682, 951, 609, 3160, 4908, 568, 476, 275, 338, 630, 613, 6248, 1611, 1070, 711, 476, 276, 338, 630, 541, 10379, 1611, 282, 2046, 519, 1279, 11573, 811, 1419, 585, 713, 1040, 12344, 972, 568, 930, 4276, 1063, 18642, 10203, 6127, 543, 12557, 6127, 630, 553, 6700, 1934, 6393, 3633, 3951, 281, 1462, 334, 692, 314, 1700, 316, 476, 275, 2798, 276, 2798, 476, 1109, 263, 273, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 21930, 12256, 267, 1875, 25993, 2831, 543, 4529, 602, 1810, 1405, 723, 6101, 1242, 6128, 1293, 593, 513, 32568, 4336, 269, 1280, 1383, 267, 519, 1297, 28870, 1063, 476, 272, 543, 476, 280, 1131, 581, 476, 274, 630, 613, 6248, 1611, 1070, 711, 476, 276, 630, 531, 5040, 545, 1611, 6393, 296, 6415, 20994, 267, 602, 2306, 1100, 2631, 547, 803, 269, 3657, 596, 6031, 602, 952, 594, 2285, 513, 4816, 610, 513, 24564, 476, 1911, 1236, 8636, 956, 9788, 856, 538, 513, 1899, 267, 543, 2307, 873, 547, 1265, 519, 30268, 267, 789, 786, 1448, 693, 1236, 8636, 956, 1948, 1015, 1299, 476, 1556, 267, 711, 1236, 8077, 1948, 2004, 286, 1317, 476, 1015, 568, 519, 12166, 1611, 540, 476, 272, 543, 476, 1911, 780, 314, 1700, 316, 290, 4321, 3163, 1923, 5274, 17496, 1923, 3131, 24632, 9257, 476, 276, 2798, 277, 2798, 2608, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 763, 1657, 11855, 1382, 6140, 7318, 1507, 267, 15768, 9424, 269, 594, 1810, 1405, 917, 540, 1022, 2090, 602, 1031, 1804, 267, 15768, 9424, 269, 594, 1131, 2503, 602, 952, 596, 941, 547, 2932, 971, 513, 1353, 602, 596, 1131, 1265, 513, 9186, 4724, 519, 12166, 1611, 2476, 689, 519, 15821, 1611, 269, 594, 1810, 1405, 723, 1250, 4704, 1257, 593, 803, 693, 519, 4090, 543, 1810, 1405, 11291, 519, 1353, 689, 519, 1283, 540, 1250, 2212, 267, 855, 594, 3513, 2022, 513, 3095, 547, 621, 593, 11728, 780, 3633, 3951, 281, 901, 6085, 4016, 547, 10203, 538, 1880, 269, 7843, 1602, 531, 11996, 616, 6024, 780, 3633, 3951, 476, 273, 281, 17540, 329, 1731, 534, 814, 519, 3617, 3210, 2630, 780, 2080, 616, 930, 14327, 630, 28236, 15504, 689, 2701, 339, 1479, 10290, 781, 1433, 17107, 9288, 1188, 543, 5783, 630, 2735, 274, 264, 4534, 602, 781, 519, 3159, 7130, 1353, 692, 10387, 1067, 2023, 630, 1220, 272, 264, 4534, 1482, 1353, 267, 855, 538, 25190, 976, 692, 13436, 2090, 941, 5342, 1210, 1297, 540, 6114, 3079, 540, 12557, 269, 1280, 1383, 267, 15699, 949, 581, 2016, 1310, 513, 1978, 1297, 540, 11573, 1790, 19843, 630, 5522, 3430, 543, 9652, 267, 476, 3192, 272, 1040, 7454, 2773, 1223, 581, 3812, 676, 10203, 519, 1297, 540, 11573, 2046, 525, 269, 1358, 1336, 602, 519, 3677, 519, 1297, 540, 2046, 525, 270, 701, 4242, 270, 13905, 2838, 267, 519, 3677, 519, 3210, 13260, 630, 339, 6479, 909, 547, 476, 2190, 1040, 901, 1223, 1611, 602, 10203, 4386, 676, 513, 2241, 7213, 15975, 1062, 602, 7135, 6959, 607, 596, 1039, 811, 3688, 630, 15035, 10203, 267, 22185, 13065, 1040, 901, 568, 28879, 6697, 547, 519, 13065, 1373, 3586, 543, 519, 10203, 1373, 593, 513, 32568, 4336, 269, 594, 1589, 972, 781, 1869, 930, 7521, 827, 799, 2203, 1655, 13352, 891, 1239, 269, 1703, 781, 513, 1957, 676, 715, 1221, 518, 543, 16019, 630, 1220, 274, 264, 602, 5267, 602, 519, 2534, 540, 2582, 11409, 602, 3100, 547, 31391, 6746, 13920, 21520, 568, 1732, 24018, 676, 513, 19316, 630, 8421, 15162, 6193, 264, 4336, 780, 2690, 2090, 827, 11031, 602, 1810, 1405, 723, 1913, 585, 2338, 3152, 982, 476, 275, 267, 1294, 623, 3821, 1696, 620, 269, 630, 1220, 275, 1040, 1358, 1336, 602, 519, 2818, 540, 513, 1978, 14316, 1185, 1100, 1966, 9236, 1804, 5036, 540, 3688, 630, 1575, 547, 476, 3199, 264, 1256, 1498, 789, 1185, 1100, 2474, 585, 1346, 9424, 269, 1358, 17820, 519, 1482, 4806, 540, 6959, 607, 513, 1852, 1895, 540, 3943, 2043, 630, 331, 24147, 6959, 585, 811, 2147, 9424, 1040, 1358, 666, 849, 4019, 2035, 971, 607, 1840, 543, 12408, 547, 891, 1804, 9424, 630, 324, 3052, 1421, 952, 596, 723, 1079, 536, 31708, 540, 5452, 5116, 538, 513, 17646, 267, 568, 519, 2698, 2179, 540, 5452, 538, 519, 17646, 1447, 982, 610, 3152, 982, 513, 3791, 2179, 1040, 1717, 267, 789, 26218, 519, 2702, 547, 6385, 543, 8308, 1118, 26398, 585, 9424, 3152, 982, 476, 275, 780, 26950, 282, 11403, 281, 972, 568, 2963, 602, 6746, 657, 885, 630, 663, 942, 264, 616, 6719, 2901, 593, 513, 32568, 4336, 609, 3586, 13065, 610, 593, 513, 5276, 4336, 609, 22185, 13065, 780, 314, 1700, 316, 476, 273, 2798, 274, 2798, 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 ]
[ 826, 799, 568, 25623, 676, 10408, 17613, 543, 17727, 4157, 514, 268, 272, 2437, 30264, 7034, 16707, 267, 2019, 269, 476, 3607, 275, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 26631, 268, 22001, 267, 476, 1960, 276, 563, 700, 269, 26280, 267, 590, 269, 623, 822, 267, 667, 269, 631, 269, 6519, 1696, 620, 1421, 834, 288, 3810, 1808, 28166, 540, 1480, 533, 4343, 30684, 32635, 25907, 538, 519, 21085, 17927, 2437, 7186, 23305, 10334, 267, 2019, 269, 476, 275, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 25313, 268, 22332, 267, 476, 1960, 278, 454, 623, 269, 589, 269, 661, 14636, 267, 631, 269, 15434, 868, 517, 267, 715, 269, 5651, 29029, 267, 623, 269, 28137, 267, 543, 631, 269, 3619, 539, 1068, 267, 834, 3519, 11437, 540, 590, 289, 476, 10711, 276, 3199, 15564, 17567, 30684, 32635, 1920, 2818, 547, 3075, 25259, 3029, 676, 513, 2582, 11254, 14092, 573, 18839, 2437, 11061, 543, 10334, 267, 2019, 269, 476, 276, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 25834, 268, 29044, 267, 476, 1960, 279, 563, 681, 269, 808, 269, 717, 636, 267, 631, 269, 631, 269, 32511, 2795, 4802, 267, 590, 269, 27958, 1696, 620, 1421, 834, 10907, 638, 9974, 540, 8417, 540, 2566, 19840, 17300, 3940, 10252, 1162, 547, 519, 533, 4343, 28166, 267, 590, 289, 476, 10711, 276, 3199, 267, 676, 27327, 540, 835, 610, 811, 11254, 7408, 1369, 519, 21085, 11006, 17927, 2437, 634, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 24129, 267, 1100, 269, 476, 1839, 267, 6032, 269, 476, 14444, 4962, 268, 14444, 1015, 267, 476, 1960, 279, 563, 962, 269, 918, 6373, 267, 717, 269, 17939, 1470, 267, 808, 269, 645, 664, 267, 715, 269, 1744, 7032, 549, 267, 681, 269, 3057, 4302, 345, 267, 543, 589, 269, 19923, 12629, 267, 834, 289, 7644, 289, 8064, 277, 29620, 782, 533, 4343, 30684, 298, 568, 334, 13257, 538, 20117, 543, 538, 24155, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 18231, 267, 1100, 269, 476, 736, 267, 6032, 269, 476, 3707, 7761, 268, 3707, 8064, 267, 476, 1220, 276, 563, 700, 269, 681, 269, 595, 9567, 628, 731, 267, 667, 269, 661, 269, 6519, 267, 667, 269, 700, 269, 13643, 267, 631, 269, 674, 269, 22413, 1069, 2714, 267, 543, 590, 269, 589, 269, 645, 3420, 650, 267, 834, 335, 4343, 31778, 298, 281, 2566, 6114, 689, 7636, 6127, 547, 519, 31706, 2437, 12367, 538, 17449, 6925, 267, 2019, 269, 476, 1428, 267, 1100, 269, 476, 279, 267, 6032, 269, 476, 3607, 280, 268, 4391, 280, 267, 476, 1220, 280, 563, 631, 269, 595, 11607, 307, 269, 13535, 267, 962, 11607, 335, 269, 15651, 267, 543, 589, 269, 631, 16554, 841, 267, 834, 300, 584, 710, 533, 4343, 268, 314, 23169, 316, 5378, 4094, 19840, 17300, 3940, 32635, 267, 513, 1646, 958, 14931, 3940, 32635, 602, 568, 15181, 676, 2566, 543, 605, 514, 11987, 29299, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28638, 267, 1100, 269, 476, 1556, 267, 6032, 269, 476, 3583, 280, 276, 268, 278, 1015, 273, 267, 476, 1960, 280, 563, 717, 269, 17939, 1470, 267, 808, 269, 590, 269, 595, 269, 14880, 267, 962, 269, 918, 6373, 1696, 620, 1421, 834, 335, 4343, 314, 24472, 316, 21560, 519, 2199, 5314, 540, 590, 4338, 9032, 538, 519, 11118, 18929, 13987, 676, 1110, 6819, 922, 5872, 609, 717, 298, 4338, 2437, 661, 11586, 302, 4750, 267, 2019, 269, 476, 2190, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 13647, 275, 268, 14625, 276, 267, 476, 1220, 276, 563, 966, 269, 589, 269, 2142, 731, 3467, 267, 670, 269, 808, 269, 670, 15586, 267, 595, 269, 661, 11998, 14024, 1696, 620, 1421, 834, 7049, 3130, 543, 18572, 540, 533, 4343, 314, 15883, 316, 630, 31778, 298, 1556, 264, 5444, 2389, 1173, 9643, 8983, 2437, 17449, 543, 8426, 983, 10334, 267, 2019, 269, 476, 1839, 267, 1100, 269, 476, 2537, 267, 6032, 269, 476, 10441, 7918, 268, 10441, 5038, 267, 476, 1220, 276, 563, 631, 269, 19395, 267, 700, 269, 590, 26223, 5459, 267, 631, 269, 10162, 778, 267, 808, 269, 670, 3711, 528, 267, 808, 269, 5062, 10468, 880, 267, 543, 595, 269, 589, 269, 717, 8475, 267, 834, 9377, 11351, 540, 519, 2566, 32635, 533, 4343, 314, 10401, 316, 2164, 538, 25782, 29723, 1275, 281, 10886, 1436, 540, 519, 32635, 13829, 540, 2566, 6114, 540, 11747, 12413, 17087, 25782, 6565, 2281, 2437, 4750, 540, 21885, 6925, 267, 2019, 269, 476, 4489, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 5952, 280, 268, 279, 3583, 267, 476, 1220, 271, 563, 808, 269, 14780, 16636, 7596, 267, 590, 269, 2871, 24473, 267, 808, 269, 590, 269, 29124, 1696, 620, 1421, 834, 3682, 13611, 29299, 543, 2825, 2566, 2014, 533, 4343, 5378, 4094, 19840, 17300, 3940, 32635, 11852, 676, 12242, 8485, 800, 3175, 593, 1119, 4592, 710, 543, 555, 516, 517, 710, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 17734, 267, 1100, 269, 476, 1724, 267, 6032, 269, 476, 278, 5655, 271, 268, 278, 5655, 277, 267, 476, 1960, 276, 563, 808, 269, 631, 269, 19109, 686, 752, 529, 543, 808, 269, 2997, 745, 577, 267, 834, 300, 2459, 6501, 5378, 4094, 19840, 17300, 3940, 32635, 5365, 1098, 9134, 11444, 15181, 676, 2566, 543, 6553, 2437, 4284, 8344, 17352, 267, 2019, 269, 476, 10037, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 3199, 278, 268, 279, 7597, 267, 476, 1220, 272, 563, 623, 269, 595, 269, 674, 269, 4258, 2426, 267, 667, 269, 717, 269, 23720, 267, 589, 269, 681, 269, 3026, 321, 1042, 320, 267, 543, 623, 269, 28137, 267, 834, 293, 3975, 3724, 1852, 540, 519, 3940, 32635, 25526, 298, 272, 676, 590, 4338, 298, 273, 320, 270, 533, 4343, 314, 10401, 316, 2437, 661, 11586, 302, 4750, 267, 2019, 269, 476, 2420, 267, 1100, 269, 476, 2641, 267, 6032, 269, 476, 6872, 280, 274, 268, 276, 3199, 276, 267, 476, 1220, 274, 563, 918, 269, 589, 269, 11829, 334, 543, 717, 269, 700, 269, 9652, 267, 834, 300, 12089, 11060, 720, 32635, 1852, 540, 808, 301, 298, 543, 533, 4343, 30684, 298, 11444, 2437, 7186, 17352, 17449, 8426, 10334, 267, 2019, 269, 476, 274, 267, 1100, 269, 476, 280, 267, 6032, 269, 476, 5780, 274, 268, 6858, 273, 267, 476, 1220, 273, 563, 670, 269, 594, 577, 6359, 334, 267, 661, 269, 715, 880, 5866, 267, 918, 269, 594, 4471, 1696, 620, 1421, 834, 5715, 25934, 540, 30091, 676, 6789, 298, 272, 267, 513, 27899, 30684, 298, 298, 298, 602, 31591, 590, 4338, 298, 32434, 301, 298, 543, 533, 4343, 15202, 11444, 2437, 3163, 267, 2019, 269, 476, 22550, 267, 1100, 269, 476, 276, 3066, 277, 267, 6032, 269, 476, 3445, 268, 11463, 267, 476, 1960, 278, 563, 918, 269, 26232, 698, 1276, 328, 267, 918, 269, 1744, 4275, 330, 23042, 267, 670, 269, 1744, 756, 340, 5984, 1696, 620, 1421, 834, 15275, 2305, 540, 513, 4759, 540, 519, 30684, 298, 298, 298, 1920, 607, 513, 1761, 2405, 328, 1807, 540, 570, 24427, 268, 314, 15883, 316, 5365, 1098, 9134, 2437, 3163, 267, 2019, 269, 476, 17734, 267, 1100, 269, 476, 276, 2190, 275, 267, 6032, 269, 476, 1220, 279, 268, 1001, 272, 267, 476, 1960, 276, 563, 645, 269, 667, 269, 595, 826, 11663, 267, 589, 269, 715, 269, 2806, 749, 267, 543, 717, 269, 700, 269, 9652, 267, 834, 305, 1961, 540, 5378, 4094, 19840, 17300, 3940, 32635, 32635, 10252, 1162, 538, 5365, 5610, 2437, 2201, 322, 10942, 267, 2019, 269, 476, 2918, 267, 1100, 269, 476, 2420, 267, 6032, 269, 476, 25628, 280, 268, 28766, 272, 267, 476, 1220, 278, 454, 590, 269, 18681, 267, 808, 269, 12390, 267, 631, 269, 589, 269, 590, 20635, 1696, 620, 1421, 834, 305, 14833, 1920, 717, 9143, 1162, 10038, 533, 4343, 5378, 4094, 19840, 17300, 3940, 32635, 998, 519, 19654, 18657, 1807, 623, 752, 272, 2437, 634, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 17734, 267, 1100, 269, 476, 6078, 267, 6032, 269, 476, 26839, 4097, 268, 26839, 3607, 267, 476, 1960, 276, 563, 631, 269, 808, 269, 3057, 514, 1170, 523, 267, 631, 269, 15616, 926, 10314, 267, 631, 269, 623, 718, 14397, 267, 543, 808, 269, 590, 269, 28066, 11779, 267, 834, 288, 3060, 540, 5378, 4094, 19840, 17300, 3940, 10252, 1162, 6402, 717, 3940, 2275, 537, 9482, 13364, 547, 519, 524, 18191, 684, 3260, 518, 281, 513, 1909, 585, 524, 11219, 684, 19760, 273, 3856, 1400, 32635, 267, 533, 4343, 338, 267, 543, 29414, 5365, 15696, 4327, 32635, 476, 276, 2437, 17449, 543, 8426, 983, 289, 5735, 267, 2019, 269, 476, 866, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 275, 2764, 280, 268, 25396, 272, 267, 476, 1960, 280, 563, 717, 269, 3816, 344, 267, 589, 269, 631, 269, 681, 8646, 267, 674, 269, 589, 269, 769, 652, 320, 13305, 320, 638, 5028, 1696, 620, 1421, 834, 17843, 658, 11852, 540, 533, 4343, 31778, 298, 568, 334, 13257, 676, 631, 298, 298, 277, 543, 631, 298, 298, 274, 2437, 8426, 983, 6178, 16226, 267, 2019, 269, 476, 2420, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 32133, 268, 5780, 278, 267, 476, 1001, 271, 563, 700, 269, 15651, 267, 681, 269, 8575, 267, 681, 269, 589, 269, 4469, 320, 767, 331, 267, 543, 631, 269, 661, 269, 932, 16211, 267, 834, 26473, 790, 618, 540, 5378, 4094, 19840, 17300, 3940, 32635, 32635, 476, 274, 630, 300, 298, 298, 274, 264, 585, 11852, 540, 533, 4343, 314, 10401, 316, 543, 533, 4343, 314, 23169, 316, 30684, 298, 568, 334, 13257, 676, 570, 24427, 268, 314, 15883, 316, 272, 538, 9597, 710, 8544, 836, 658, 2281, 2437, 634, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28071, 267, 1100, 269, 476, 5392, 267, 6032, 269, 476, 5325, 273, 6872, 268, 5325, 273, 7830, 267, 476, 1220, 273, 563, 808, 269, 5576, 3233, 12661, 1067, 543, 631, 269, 7108, 325, 16808, 267, 834, 293, 756, 549, 4565, 770, 2208, 3815, 4630, 27881, 2188, 543, 519, 568, 2280, 2634, 268, 273, 21934, 1245, 3940, 10038, 11852, 540, 513, 2566, 19840, 17300, 3940, 32635, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28071, 267, 1100, 269, 476, 7906, 267, 6032, 269, 476, 5392, 272, 1556, 268, 5392, 272, 866, 267, 476, 1220, 273, 563, 590, 269, 4521, 2401, 267, 962, 269, 18307, 2719, 267, 631, 269, 3619, 539, 1068, 267, 543, 623, 269, 28137, 267, 834, 26239, 1120, 2065, 11852, 540, 590, 4338, 298, 272, 32434, 301, 298, 272, 676, 1079, 30684, 32635, 10252, 1162, 538, 20117, 2437, 7351, 10334, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 1839, 267, 6032, 269, 476, 15946, 278, 268, 16928, 272, 267, 476, 1960, 279, 563, 595, 269, 12875, 333, 1512, 267, 595, 269, 667, 784, 267, 570, 269, 918, 269, 25306, 267, 590, 269, 715, 269, 13643, 267, 681, 269, 589, 269, 4469, 320, 767, 331, 267, 543, 681, 269, 808, 269, 16026, 267, 834, 300, 298, 298, 278, 568, 606, 1898, 5057, 540, 519, 808, 301, 298, 5365, 1098, 9134, 13374, 15181, 676, 605, 514, 11987, 29299, 2437, 2637, 525, 543, 4886, 267, 2019, 269, 476, 1428, 267, 1100, 269, 476, 1556, 267, 6032, 269, 476, 15221, 280, 268, 16318, 277, 267, 476, 1220, 272, 563, 570, 269, 654, 3385, 267, 918, 269, 26981, 698, 11867, 267, 570, 269, 20242, 534, 23042, 1696, 620, 1421, 834, 19808, 8529, 5348, 1120, 2065, 11852, 540, 2566, 19840, 17300, 3940, 32635, 590, 4338, 298, 32434, 301, 298, 538, 10856, 25782, 6565, 2281, 15877, 10323, 298, 272, 19072, 298, 298, 275, 281, 1114, 9295, 540, 10323, 298, 273, 19072, 298, 298, 278, 568, 334, 13257, 547, 519, 5348, 1120, 2065, 11852, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28510, 267, 1100, 269, 476, 3451, 267, 6032, 269, 476, 28143, 10844, 268, 28143, 9032, 267, 476, 1220, 272, 563, 645, 269, 2983, 267, 670, 269, 12896, 267, 674, 1019, 22087, 13960, 1696, 620, 1421, 834, 31778, 298, 298, 23949, 8817, 11852, 540, 533, 4343, 10401, 25358, 676, 570, 5723, 272, 17466, 1313, 2684, 6664, 800, 3175, 540, 533, 4343, 10401, 2437, 3163, 267, 2019, 269, 476, 27768, 267, 1100, 269, 476, 27898, 279, 267, 6032, 269, 476, 15782, 12208, 11463, 267, 476, 1220, 273, 563, 808 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1104, 28185, 11456, 692, 5035, 9184, 2544, 10098, 10031, 8931, 825, 1219, 6449, 8181, 9191, 1345, 2187, 8931, 1038, 1582, 6745, 7505, 815, 834, 311, 4840, 1038, 1582, 12459, 690, 334, 815, 20886, 26514, 585, 1775, 538, 2039, 263, 274, 13580, 585, 1775, 538, 2039, 263, 274, 22708, 1038, 1582, 269, 4802, 3873, 815, 7183, 454, 1038, 1582, 31815, 10044, 815, 7183, 692, 825, 1219, 13274, 3873, 272, 4311, 17107, 1038, 1582, 31815, 10044, 815, 3403, 2891, 304, 783, 513, 1064, 328, 23843, 562, 612, 320, 13274, 3873, 267, 589, 267, 645, 522, 340, 595, 281, 8442, 3097, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 271, 6012, 271, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 288, 9899, 22322, 3546, 1582, 12459, 690, 334, 314, 271, 6012, 271, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 271, 6012, 272, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 289, 13426, 3546, 1582, 12459, 690, 334, 314, 271, 6012, 272, 4940, 6572, 4311, 6745, 7505, 264, 3097, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 271, 6012, 273, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 290, 13426, 3546, 1582, 12459, 690, 334, 314, 271, 6012, 273, 4940, 6572, 4311, 6745, 7505, 994, 4449, 28329, 1038, 585, 1592, 553, 538, 1582, 12459, 690, 334, 912, 2018, 1820, 4590, 2018, 585, 3693, 657, 538, 1592, 553, 912, 3546, 1820, 16216, 2211, 657, 267, 1439, 284, 3269, 264, 3097, 1038, 28329, 825, 1219, 13274, 3873, 273, 4311, 17107, 1038, 1582, 31815, 10044, 815, 3403, 2891, 304, 783, 513, 1064, 328, 23843, 562, 612, 320, 13274, 3873, 267, 589, 267, 645, 522, 340, 595, 281, 5602, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 272, 6012, 271, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 288, 13426, 3546, 1582, 12459, 690, 334, 314, 272, 6012, 271, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 272, 6012, 272, 13912, 3097, 2018, 952, 1582, 31815, 10044, 2652, 834, 289, 13426, 3546, 1582, 12459, 690, 334, 314, 272, 6012, 272, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 272, 6012, 273, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 290, 13426, 3546, 1582, 12459, 690, 334, 314, 272, 6012, 273, 4940, 6572, 4311, 6745, 7505, 264, 3097, 13872, 1038, 454, 1038, 585, 1592, 553, 538, 1582, 12459, 690, 334, 281, 19930, 454, 2018, 1820, 4590, 2018, 585, 3693, 657, 538, 1592, 553, 912, 3546, 1820, 16216, 2211, 657, 267, 1439, 284, 3269, 994, 4449, 11434, 692, 825, 1219, 13274, 3873, 274, 4311, 17107, 1038, 1582, 31815, 10044, 815, 3403, 2891, 304, 783, 513, 1064, 328, 23843, 562, 612, 320, 13274, 3873, 267, 589, 267, 645, 522, 340, 595, 281, 5602, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 273, 6012, 271, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 288, 13426, 3546, 1582, 12459, 690, 334, 314, 273, 6012, 271, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 273, 6012, 272, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 289, 13426, 3546, 1582, 12459, 690, 334, 314, 273, 6012, 272, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 273, 6012, 273, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 290, 13426, 3546, 1582, 12459, 690, 334, 314, 273, 6012, 273, 4940, 6572, 4311, 6745, 7505, 994, 13872, 13872, 1038, 585, 1592, 553, 538, 1582, 12459, 690, 334, 912, 2018, 1820, 4590, 2018, 585, 3693, 657, 538, 1592, 553, 912, 3546, 1820, 16216, 2211, 657, 267, 1439, 284, 3269, 994, 1363, 692, 672, 692, 329, 690, 3385, 815, 9184, 2544, 10098, 4590, 1037, 338, 815, 476, 1724, 454, 6112, 21448, 11203, 476, 271, 912, 825, 1820, 2891, 288, 28185, 541, 281, 808, 690, 11456, 476, 272, 5602, 825, 28185, 3385, 269, 4802, 3873, 815, 703, 9272, 2891, 304, 783, 513, 13274, 3873, 900, 6446, 6446, 637, 28185, 541, 476, 272, 267, 476, 273, 267, 476, 274, 281, 27363, 825, 21448, 20699, 476, 274, 22562, 825, 952, 28185, 3385, 269, 4802, 3873, 2652, 476, 272, 912, 1038, 28185, 3385, 269, 4802, 3873, 272, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 273, 912, 1038, 28185, 3385, 269, 4802, 3873, 273, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 274, 912, 1038, 28185, 3385, 269, 4802, 3873, 274, 4590, 8931, 825, 1948, 8880, 454, 825, 733, 320, 815, 476, 271, 454, 825, 585, 1775, 538, 28185, 3385, 12459, 690, 334, 314, 271, 14158, 1038, 585, 795, 538, 1775, 912, 2018, 733, 320, 6834, 476, 272, 454, 2018, 952, 733, 320, 2652, 476, 274, 281, 3097, 3546, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 5602, 8931, 825, 733, 320, 815, 476, 271, 454, 825, 585, 1775, 272, 538, 28185, 3385, 12459, 690, 334, 314, 272, 14158, 1038, 585, 795, 272, 538, 1775, 272, 912, 2018, 733, 320, 6834, 476, 272, 454, 2018, 952, 733, 320, 2652, 476, 274, 912, 3546, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 5602, 8931, 825, 733, 320, 815, 476, 271, 454, 825, 585, 1775, 273, 538, 28185, 3385, 12459, 690, 334, 314, 273, 14158, 1038, 585, 795, 273, 538, 1775, 273, 912, 2018, 733, 320, 6834, 476, 272, 454, 2018, 952, 733, 320, 2652, 476, 274, 912, 3546, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 3097, 8931, 8931, 825, 1948, 15497, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 271, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 273, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 11434, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 273, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 271, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 22322, 8931, 825, 1948, 9825, 658, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 271, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 271, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 271, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 11434, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 272, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 3097, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 273, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 273, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 273, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 11434, 454, 672, 692, 8528, 7531, 825, 23288, 825, 1820, 2891, 288, 28185, 541, 281, 808, 690, 11456, 476, 273, 5602, 825, 28185, 3385, 269, 4802, 3873, 815, 703, 9272, 2891, 304, 783, 513, 13274, 3873, 900, 6446, 6446, 637, 28185, 541, 476, 272, 267, 476, 273, 267, 476, 274, 281, 27363, 825, 952, 28185, 3385, 269, 4802, 3873, 2652, 476, 272, 912, 1038, 28185, 3385, 269, 4802, 3873, 272, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 273, 912, 1038, 28185, 3385, 269, 4802, 3873, 273, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 274, 912, 1038, 28185, 3385, 269, 4802, 3873, 274, 4590, 2745, 2891, 11391, 622, 8442, 825, 454, 825, 23288, 672, 0, 18851, 9046, 4704, 9847, 2274, 564, 13892, 3097, 825, 8827, 4704, 9847, 717, 2465, 802, 1721, 294, 2465, 802, 454, 825, 4179, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 3438, 894, 1790, 739, 4650, 13652, 951, 531, 13045, 20701, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 2022, 4650, 9199, 951, 531, 4311, 267, 3597, 281, 30741, 264, 9847, 5903, 27776, 14158, 13872, 1038, 12361, 634, 2022, 4650, 21986, 531, 786, 581, 2451, 267, 1318, 267, 3597, 692, 1038, 952, 3597, 568, 7183, 912, 2018, 2132, 11713, 13872, 1038, 12361, 8073, 606, 588, 2931, 585, 3597, 454, 1038, 3597, 14067, 871, 815, 11713, 1038, 2132, 8217, 815, 11713, 1038, 1699, 815, 3597, 454, 1038, 1247, 6936, 912, 2018, 1247, 1699, 912, 3546, 952, 1699, 16192, 912, 7386, 3597, 14067, 871, 6910, 263, 9690, 16192, 2020, 3546, 3597, 14067, 871, 6910, 263, 9690, 2020, 3546, 1699, 815, 1699, 16000, 454, 27030, 2018, 1699, 815, 3597, 14067, 871, 21014, 10797, 2018, 952, 1699, 16192, 543, 1582, 269, 701, 2131, 20172, 14067, 871, 264, 2652, 1699, 16192, 912, 3546, 3597, 14067, 871, 21014, 4590, 3546, 3597, 14067, 871, 6910, 263, 9690, 994, 3546, 1699, 815, 1699, 16192, 454, 2018, 3116, 912, 3546, 2132, 8217, 6910, 263, 9690, 22183, 994, 3546, 1699, 815, 7183, 454, 27030, 2018, 952, 711, 3597, 14067, 871, 912, 3546, 2736, 3248, 27030, 825, 1219, 32708, 4311, 267, 10518, 2187, 1038, 952, 7003, 263, 23637, 264, 3436, 476, 271, 912, 2018, 2132, 10518, 15631, 272, 2639, 1038, 2132, 7183, 692, 0, 12163, 2843, 509, 17201, 5284, 370, 4138, 16021, 23783, 21162, 3264, 16044, 484, 3264, 6459, 9924, 3264, 24893, 25986, 20977, 20413, 22147, 7846, 4344, 25338, 9924, 31224, 11714, 9924, 13077, 21833, 12811, 9924, 11714, 11714, 4138, 9686, 3264, 11012, 7846, 9261, 9261, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21162, 17153, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21162, 17153, 16044, 484, 3264, 6459, 9924, 17153, 24893, 25986, 3264, 6459, 476, 13077, 13194, 20434, 10948, 21162, 9261, 4138, 11012, 10528, 25974, 29652, 3522, 9261, 4138, 269, 2843, 507, 3522, 10528, 23485, 9261, 21268, 267, 476, 5655, 20413, 5284, 370, 21170, 11714, 9924, 13077, 13194, 4138, 31224, 17095, 3522, 7549, 476, 25000, 7549, 7846, 19628, 11012, 7846, 9261, 9261, 7846, 24893, 20046, 9924, 4814, 9841, 9261, 9326, 476, 13077, 13194, 20434, 10948, 21162, 9261, 4138, 11012, 10528, 25974, 29652, 3522, 9261, 4138, 281, 630, 3522, 264, 476, 274, 266, 275, 266, 276, 266, 277, 266, 278, 266, 279, 266, 280, 267, 630, 16648, 264, 476, 280, 266, 1015, 266, 1556, 266, 1321, 267, 630, 8563, 264, 476, 1724, 266, 1691, 266, 1428, 15800, 630, 15671, 264, 476, 5655, 269, 2843, 504, 3522, 7549, 10780, 30718, 3522, 13194, 9924, 27593, 20046, 10780, 25974, 6459, 29391, 4709, 3264, 3264, 476, 16417, 20732, 23845, 3264, 630, 15671, 1070, 2843, 375, 19628, 16648, 3378, 3264, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21170, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 11714, 4736, 3264, 15671, 28027, 20413, 5284, 370, 21170, 476, 4344, 23485, 8563, 4138, 3522, 23783, 21170, 11714, 9924, 13077, 13194, 4138, 31224, 11714, 11714, 4138, 9686, 3264, 16068, 9686, 21170, 397, 491, 6459, 27671, 12811, 4344, 4709, 26281, 11012, 7846, 9261, 9261, 9924, 267, 11012, 3378, 13150, 3378, 9326, 27569, 3264, 13953, 476, 4344, 17201, 9841, 7549, 3378, 15800, 13194, 16044, 491, 4344, 22147, 3378, 16044, 484, 3264, 6459, 22147, 3378, 24893, 25986, 20977, 563, 29551, 9924, 10948, 25986, 20434, 16021, 267, 17095, 3522, 24012, 9261, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 21134, 476, 13077, 13194, 20434, 10948, 21162, 17153, 11012, 10528, 25974, 29652, 13833, 16044, 491, 26580, 20413, 5284, 370, 21170, 11714, 9924, 13077, 13194, 4138, 31224, 17095, 3522, 7549, 11012, 7846, 9261, 9261, 7846, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21162, 17153, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21162, 17153 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5319, 11602, 8018, 6103, 7689, 14136, 19793, 557, 6096, 4569, 5623, 4477, 680, 710, 4855, 25609, 16592, 918, 326, 4530, 10435, 10341, 454, 5319, 11602, 8018, 6103, 7689, 14136, 19793, 557, 6096, 4569, 5623, 4477, 680, 710, 4855, 25609, 16592, 918, 326, 4530, 10435, 10341, 563, 291, 5315, 1983, 9488, 1702, 540, 519, 8675, 568, 513, 1259, 552, 32275, 329, 12364, 2173, 566, 602, 568, 2877, 585, 1362, 960, 607, 1134, 607, 4948, 2713, 269, 519, 1641, 2339, 540, 782, 4255, 568, 3144, 689, 5789, 26713, 268, 19986, 9094, 13591, 8675, 269, 16311, 1218, 949, 946, 824, 21594, 538, 519, 563, 22706, 5399, 1983, 3211, 4976, 7215, 2979, 7270, 3610, 4928, 8144, 10047, 1297, 4946, 3014, 12408, 5013, 22605, 269, 15610, 15594, 16212, 1433, 1448, 2070, 3211, 3446, 2241, 4946, 18946, 9511, 2259, 6780, 7270, 1863, 2979, 1983, 269, 21175, 3211, 3446, 1858, 2979, 6498, 3756, 1032, 1820, 8691, 3349, 3113, 2042, 476, 274, 2259, 23519, 2534, 22605, 1983, 269, 15610, 4976, 3446, 3992, 4541, 3035, 3211, 2979, 2689, 927, 680, 710, 1265, 5546, 5580, 4846, 1449, 1818, 1983, 269, 9752, 2200, 22605, 1983, 3211, 269, 631, 1512, 14469, 22605, 1770, 1260, 2380, 633, 3211, 1554, 6765, 1983, 269, 9255, 618, 1449, 22605, 1983, 3211, 269, 0, 763, 3624, 8422, 32020, 2471, 15278, 814, 16539, 476, 272, 5479, 586, 10224, 18121, 14681, 2929, 264, 547, 1628, 519, 1158, 781, 7887, 13735, 3859, 1379, 2030, 538, 5101, 3624, 563, 8512, 540, 519, 2030, 267, 513, 476, 5611, 2173, 1122, 1177, 3430, 1788, 538, 13535, 664, 534, 267, 1323, 327, 14241, 19435, 267, 729, 4448, 547, 519, 7470, 593, 11728, 267, 519, 2754, 9307, 593, 922, 3896, 563, 763, 1788, 2934, 8440, 6378, 547, 6083, 1846, 593, 519, 2627, 540, 513, 10720, 602, 4646, 1310, 513, 5755, 332, 710, 12900, 267, 519, 2754, 1767, 563, 763, 3003, 9744, 568, 4397, 547, 2097, 2228, 676, 2904, 476, 1001, 279, 563, 2691, 2347, 267, 519, 2030, 786, 5352, 476, 5611, 2929, 4893, 578, 3430, 3620, 2293, 540, 5201, 513, 1032, 267, 610, 519, 6697, 540, 827, 476, 7871, 267, 1822, 9748, 540, 5755, 269, 2368, 476, 1960, 267, 4335, 9748, 540, 3327, 8166, 5434, 786, 581, 10710, 513, 1032, 267, 519, 2754, 1767, 563, 763, 13735, 25675, 1379, 2030, 568, 606, 30405, 1505, 540, 10451, 1648, 267, 18294, 28579, 13198, 932, 684, 5143, 519, 2473, 514, 327, 7699, 5240, 10837, 563, 15253, 1563, 609, 2757, 25675, 1379, 10473, 267, 519, 13735, 6728, 1281, 711, 19582, 1022, 2244, 267, 11151, 1216, 21381, 543, 10607, 519, 11718, 781, 960, 4398, 267, 18708, 17540, 336, 21628, 267, 9972, 25129, 593, 2916, 543, 1648, 693, 519, 7849, 8249, 16470, 7027, 267, 5143, 519, 6820, 8648, 563, 19770, 814, 1044, 3056, 519, 2973, 1648, 2872, 2094, 519, 2475, 24013, 4319, 689, 519, 8303, 15716, 267, 18708, 1767, 267, 4946, 602, 3624, 814, 2938, 1390, 10781, 3823, 1648, 7004, 563, 19770, 814, 1044, 8716, 519, 1646, 540, 2973, 1648, 2959, 547, 2569, 519, 2197, 781, 5230, 16126, 593, 5755, 267, 799, 6589, 585, 827, 476, 7761, 2600, 540, 519, 1648, 4616, 3575, 267, 2473, 514, 327, 7699, 4080, 563, 19770, 814, 1044, 519, 1158, 781, 4102, 20090, 538, 2973, 1648, 2094, 476, 1001, 273, 543, 6170, 1269, 6434, 5479, 593, 2973, 1648, 2959, 1519, 2842, 543, 3859, 1379, 267, 8051, 585, 827, 835, 21017, 540, 5710, 1963, 5092, 11451, 267, 25204, 6199, 4080, 563, 299, 24926, 13391, 2129, 7699, 267, 1244, 14280, 2212, 540, 2817, 6052, 10029, 1767, 593, 14349, 602, 3624, 786, 1698, 922, 5755, 30187, 1379, 4390, 693, 476, 272, 267, 1822, 17254, 1177, 30476, 538, 476, 1708, 271, 267, 543, 1875, 1922, 1601, 559, 10173, 786, 2272, 585, 3368, 519, 2197, 781, 2698, 1379, 5108, 676, 476, 10711, 271, 267, 2473, 514, 327, 7699, 4080, 563, 19770, 781, 8704, 3859, 4390, 3366, 519, 1158, 2063, 1032, 693, 476, 6507, 269, 5655, 2929, 4893, 578, 30476, 267, 8051, 585, 476, 272, 2600, 540, 2698, 3167, 1648, 2504, 267, 2687, 547, 519, 7245, 563, 19770, 781, 16126, 593, 5755, 786, 2063, 834, 16341, 942, 538, 519, 2104, 257, 607, 621, 781, 10464, 543, 3624, 814, 5318, 5666, 540, 621, 267, 1767, 6931, 4425, 336, 21628, 267, 8689, 540, 519, 3624, 4741, 585, 6052, 13188, 3194, 693, 2473, 3554, 523, 2160, 563, 27662, 1648, 2115, 5092, 267, 1382, 543, 1646, 543, 3937, 5826, 267, 6931, 1767, 269, 0, 291, 335, 2495, 538, 512, 7056, 910, 24296, 518, 570, 8008, 6363, 2948, 527, 1547, 769, 476, 7277, 271, 267, 519, 10910, 710, 6433, 267, 19430, 676, 3943, 6305, 14012, 1520, 565, 15343, 774, 4536, 781, 7287, 547, 5368, 8063, 519, 10910, 710, 607, 513, 2067, 8473, 267, 3366, 547, 513, 20320, 6433, 543, 513, 5951, 540, 18541, 538, 5125, 269, 2311, 519, 1476, 26475, 540, 589, 732, 543, 10910, 710, 267, 519, 589, 732, 693, 476, 28794, 544, 23326, 4882, 11438, 811, 1216, 593, 3328, 982, 519, 10910, 710, 693, 476, 275, 4375, 544, 23326, 4882, 267, 865, 602, 3289, 5766, 1429, 1227, 6340, 519, 10910, 710, 568, 513, 1318, 29815, 776, 540, 519, 589, 732, 269, 769, 24380, 601, 267, 476, 1789, 5998, 19654, 540, 667, 7572, 7921, 267, 568, 4092, 519, 7262, 1439, 540, 519, 2034, 7532, 1700, 8054, 11288, 8905, 267, 519, 24380, 601, 5937, 3430, 601, 333, 22575, 267, 799, 8255, 6252, 547, 519, 700, 2089, 324, 269, 4595, 5111, 476, 7785, 267, 1822, 1296, 3516, 267, 3670, 2101, 10979, 12698, 723, 7018, 267, 538, 799, 4262, 1377, 12628, 476, 6344, 544, 630, 29496, 10264, 264, 543, 1454, 540, 519, 18626, 19114, 2968, 6534, 269, 4595, 602, 942, 267, 519, 10910, 710, 814, 3773, 519, 24659, 1657, 8235, 4790, 766, 630, 309, 4650, 337, 515, 514, 267, 670, 5793, 337, 515, 514, 267, 1325, 5155, 337, 515, 514, 282, 9676, 689, 519, 10910, 20110, 928, 1070, 519, 5580, 10301, 540, 519, 6301, 267, 3564, 5576, 933, 8882, 4669, 543, 519, 631, 846, 331, 548, 538, 519, 966, 657, 2471, 15142, 267, 9676, 1282, 519, 15223, 1446, 10979, 21943, 689, 519, 2725, 2224, 267, 547, 922, 24659, 269, 769, 7187, 2342, 267, 519, 3345, 7256, 19438, 1185, 4646, 1282, 519, 10222, 26226, 543, 30083, 26226, 5712, 543, 4797, 547, 581, 513, 11159, 8391, 16935, 2094, 269, 1280, 6360, 4027, 4128, 267, 519, 2725, 2224, 729, 9674, 689, 519, 20613, 531, 998, 513, 9376, 543, 11651, 1540, 883, 513, 1007, 17752, 1572, 834, 289, 1120, 572, 8575, 553, 2580, 1287, 589, 1067, 543, 1287, 8928, 883, 519, 5449, 15922, 670, 3326, 1343, 12603, 335, 269, 589, 639, 10523, 655, 30421, 526, 324, 3921, 333, 523, 530, 597, 552, 710, 476, 757, 2181, 3832, 526, 9240, 29967, 324, 966, 1408, 345, 22844, 606, 661, 580, 839, 577, 2378, 1084, 538, 546, 553, 661, 837, 613, 16818, 1170, 5378, 5368, 269, 2311, 519, 20613, 531, 267, 585, 1383, 267, 519, 1034, 2244, 1189, 23864, 3310, 666, 581, 9571, 1063, 4858, 30448, 543, 2098, 5306, 321, 2174, 601, 269, 634, 14726, 540, 519, 2012, 540, 519, 10910, 710, 538, 2413, 4654, 616, 782, 6508, 689, 519, 717, 4954, 880, 2012, 681, 25207, 333, 657, 267, 799, 729, 9862, 538, 4936, 268, 5028, 11585, 630, 272, 560, 2540, 7460, 264, 607, 5259, 18841, 379, 361, 413, 379, 484, 14832, 14267, 19084, 630, 305, 327, 25207, 333, 657, 1070, 5824, 681, 1156, 639, 269, 667, 335, 2495, 538, 512, 7056, 910, 14216, 6207, 717, 1168, 27903, 3541, 4414, 752, 5406, 269, 3414, 6908, 7001, 267, 519, 10910, 710, 6905, 922, 24659, 5045, 1189, 269, 20553, 621, 2095, 29815, 2456, 689, 519, 5045, 267, 930, 3476, 267, 930, 3160, 538, 3259, 267, 971, 607, 519, 22365, 13005, 2405, 601, 267, 519, 22365, 13005, 8575, 580, 515, 3149, 267, 543, 519, 22365, 13005, 595, 1248, 5028, 269, 2311, 519, 1439, 540, 2622, 2782, 594, 267, 519, 10910, 514, 14657, 729, 1641, 547, 519, 15521, 540, 12411, 320, 14792, 269, 20290, 519, 3003, 3259, 540, 519, 5664, 10910, 710, 8255, 538, 519, 4436, 1533, 540, 10910, 514, 14657, 6261, 531, 520, 3729, 269, 1306, 606, 1198, 540, 1480, 960, 267, 621, 7962, 625, 883, 8235, 4790, 766, 593, 22341, 8513, 543, 711, 593, 519, 8473, 602, 5205, 922, 2025, 2067, 5757, 5127, 269, 9282, 789, 17477, 519, 2012, 267, 891, 12535, 1100, 3476, 4163, 1216, 689, 519, 10910, 710, 267, 855, 616, 1031, 585, 1951, 1456, 519, 4478, 2244, 543, 1135, 10249, 269, 769, 5884, 7736, 321, 1168, 1068, 2426, 1990, 7564, 327, 2741, 642, 773, 548, 674, 752, 339, 648, 333, 267, 19804, 4143, 525, 570, 6856, 613, 16818, 1170, 1990, 340, 581, 330, 2174, 523, 269, 1703, 7283, 930, 3819, 2244, 538, 519, 7013, 3345, 7256, 267, 1634, 607, 13928, 3455, 1633, 267, 8220, 22163, 2342, 547, 6628, 269, 634, 546, 13023, 628, 784, 538, 2413, 4436, 28039, 514, 630, 10193, 7550, 538, 14564, 327, 22365, 267, 14175, 264, 568, 513, 6239, 4436, 1646, 540, 519, 2038, 2413, 1974, 267, 519, 22176, 2006, 5371, 2012, 681, 13682, 3799, 264, 20808, 519, 4587, 13047, 1143, 267, 314, 16694, 476, 275, 316, 607, 1281, 681, 760, 340, 4115, 681, 3107, 267, 1247, 6022, 520, 710, 814, 546, 13023, 628, 784, 1242, 28039, 328, 267, 10910, 16211, 269, 634, 5470, 729, 4362, 538, 476, 1001, 271, 267, 543, 519, 10656, 681, 6359, 802, 4248, 560, 320, 520, 25495, 519, 3259, 693, 476, 272, 267, 22446, 21240, 630, 278, 5780, 5195, 1040, 634, 4070, 540, 18647, 3718, 4957, 519, 18647, 538, 519, 2034, 3368, 540, 519, 476, 736, 628, 11416, 21739, 269, 476, 9050, 20320, 21308, 941, 9896, 1851, 4436, 1533, 6608, 543, 3943, 4525, 7231, 609, 519, 2242, 6069, 2059, 519, 10910, 710, 267, 835, 729, 834, 1492, 15521, 585, 519, 25351, 2305, 540, 519, 10910, 710, 2095, 689, 3026, 340, 6199, 547, 5489, 1084, 8583, 257, 263, 8687, 278, 1070, 799, 11303, 2829, 971, 607, 25816, 2548, 5333, 543, 519, 28554, 4115, 6022, 520, 3729, 269, 769, 930, 4025, 267, 972, 616, 1804, 13180, 20115, 267, 585, 1383, 267, 519, 5458, 30464, 514, 632, 13180, 632, 1773, 10849, 8583, 538, 1325, 338, 864, 269, 634, 23898, 616, 9674, 676, 519, 681, 1993, 5055, 717, 5282, 543, 966, 3554, 8403, 717, 5282, 269, 2755, 930, 2127, 4503, 2666, 267, 824, 2127, 4718, 2220, 10102, 543, 536, 9233, 581, 27071, 543, 5828, 883, 27442, 1076, 2244, 269, 634, 3337, 540, 519, 10910, 710, 18232, 568, 5462, 676, 1079, 536, 604, 584, 322, 725, 281, 1101, 267, 693, 631, 3739, 523, 513, 534, 632, 681, 6359, 333, 267, 519, 10910, 710, 10943, 1080, 883, 20613, 531, 543, 7754, 1676, 323, 839, 918, 3570, 531, 267, 799, 2242, 922, 2012, 547, 715, 25005, 686, 329, 333, 693, 1323, 613, 1066, 267, 543, 2034, 2282, 23172, 1335, 267, 519, 594, 297, 338, 1088, 8371, 1055, 689, 519, 715, 25005, 686, 329, 333, 269, 11774, 362, 366, 18298, 499, 18298, 378, 18298, 358, 28159, 491, 269, 10507, 568, 339, 3331, 353, 340, 29967, 518, 560, 14148, 600, 513, 639, 345, 636, 659, 1156, 267, 1073, 1965, 649, 527, 699, 8210, 325, 1695, 14725, 2102, 5378, 10523, 655, 21277, 19241, 575, 756, 339, 269, 769, 12844, 333, 267, 1141, 519, 590, 20672, 8928, 883, 519, 10910, 710, 267, 519, 10910, 710, 13788, 519, 3345, 4436, 30577, 543, 7140, 883, 519, 13722, 10910, 710, 269, 2290, 540, 922, 2212, 31662, 267, 519, 11412, 334, 1019, 2274, 328, 630, 560, 15735, 538, 519, 700, 6210, 1019, 2274, 328, 1070, 568, 13148, 4092, 538, 7977, 269, 4706, 2956, 607, 513, 1216, 3118, 538, 519, 10513, 4936, 7276, 568, 6462, 676, 519, 1082, 28151, 543, 6830, 5874, 3710, 2059, 621, 269, 22208, 281, 2160, 540, 6115, 4964, 269, 4366, 1700, 5392, 267, 595, 328, 665, 267, 4460, 269, 476, 1220, 273, 281, 476, 6321, 267, 6727, 7372, 7269, 540, 519, 4563, 7256, 267, 6258, 875, 543, 950, 547, 4894, 713, 10959, 5048, 267, 23773, 2067, 21677, 547, 519, 12289, 540, 5125, 267, 676, 519, 5375, 27469, 267, 6239, 8189, 585, 32522, 593, 519, 10910, 710, 267, 834, 32056, 28039, 514, 568, 339, 737, 14660, 10045, 620, 338, 575, 539, 25638, 1107, 808, 1695, 9071, 8974, 339, 16927, 337, 4135, 636, 2580, 834, 305, 21331, 5211, 476, 3445, 5998, 10156, 982, 3025, 14659, 2580, 834, 8489, 1705, 519, 10910, 710, 979, 286, 634, 7187, 2095, 8952 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2984, 543, 2833, 780, 3080, 3158, 14452, 267, 834, 8133, 267, 621, 781, 1455, 585, 1867, 6486, 547, 1397, 20343, 5638, 269, 3733, 8250, 1185, 513, 6677, 15664, 2063, 19496, 4929, 1200, 547, 4413, 1896, 4374, 267, 2943, 1200, 1867, 3556, 4951, 5140, 20343, 1932, 10590, 6271, 19033, 3773, 267, 834, 7069, 5067, 814, 10447, 267, 543, 3006, 646, 666, 1405, 1118, 621, 547, 1153, 1317, 540, 4049, 7244, 2152, 269, 1284, 1683, 2564, 22783, 1142, 942, 267, 1869, 267, 1346, 2612, 1878, 1810, 1405, 2408, 593, 1010, 5359, 2901, 3010, 2171, 782, 8815, 602, 1247, 621, 781, 1271, 547, 3950, 1053, 262, 4081, 3356, 267, 5464, 20343, 2337, 2327, 1453, 5749, 1405, 9991, 3297, 13998, 610, 14156, 1813, 547, 7928, 2612, 1878, 269, 3509, 6700, 6340, 2047, 609, 519, 1153, 7245, 547, 1174, 1946, 1978, 2612, 1878, 14201, 1405, 6592, 8308, 780, 30265, 539, 609, 16012, 1702, 543, 1489, 267, 594, 14059, 519, 1153, 9030, 11439, 609, 2963, 540, 25455, 781, 4890, 20343, 2594, 630, 628, 1678, 22556, 585, 5616, 25038, 14386, 4438, 938, 5870, 267, 1352, 15861, 602, 2930, 1350, 9662, 1419, 3361, 27753, 1063, 4013, 5638, 543, 4641, 269, 2701, 16219, 547, 6439, 1518, 519, 3390, 5612, 543, 23294, 1242, 25442, 569, 585, 1022, 10539, 3361, 780, 288, 1906, 2395, 2663, 267, 8242, 1867, 6486, 8452, 10452, 4977, 20343, 1239, 269, 4014, 7620, 24858, 267, 713, 2898, 3510, 8694, 9797, 7064, 547, 519, 11215, 2146, 594, 1336, 2228, 543, 519, 14942, 1935, 3144, 676, 519, 1153, 16984, 2899, 5483, 269, 6884, 596, 1175, 575, 27198, 2007, 4514, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 3674, 20343, 1344, 3335, 3769, 593, 513, 1867, 3556, 267, 543, 952, 865, 267, 875, 568, 621, 4843, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1344, 827, 1808, 3506, 267, 13102, 610, 4525, 269, 1717, 267, 538, 2489, 267, 20343, 1344, 949, 581, 3769, 593, 513, 1867, 3556, 267, 855, 713, 949, 4268, 4470, 593, 519, 1153, 610, 8664, 781, 4507, 269, 1879, 3769, 267, 20343, 1344, 568, 3335, 4843, 607, 519, 2698, 1297, 540, 2395, 519, 2875, 729, 1459, 543, 15534, 1282, 519, 21249, 1974, 269, 2368, 1867, 6486, 949, 849, 1331, 519, 2875, 781, 512, 731, 1465, 610, 2038, 14962, 531, 269, 634, 20343, 2594, 949, 581, 7396, 14384, 610, 3769, 607, 851, 540, 513, 3296, 593, 519, 2875, 781, 2623, 610, 960, 6208, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 6092, 5149, 281, 4197, 12098, 22675, 543, 4706, 8177, 593, 3776, 2622, 692, 8893, 476, 272, 281, 1548, 6496, 898, 6399, 547, 2142, 12098, 534, 2496, 5970, 596, 2479, 4862, 2576, 2161, 789, 616, 20757, 610, 17154, 1354, 286, 17164, 12579, 798, 711, 3548, 5779, 267, 1247, 1654, 7540, 1491, 621, 835, 1900, 2417, 676, 9319, 782, 3662, 2472, 269, 901, 1797, 1100, 5779, 267, 3165, 267, 5798, 267, 10683, 267, 610, 1256, 9932, 256, 2368, 1004, 3442, 713, 6197, 1317, 540, 741, 2648, 585, 2831, 267, 1072, 4128, 267, 610, 6161, 827, 519, 1604, 780, 5331, 952, 649, 1152, 17696, 3536, 602, 3357, 689, 2371, 267, 899, 5613, 267, 5388, 267, 9274, 267, 543, 22053, 630, 28369, 1040, 2334, 1131, 1611, 6031, 1434, 25742, 547, 3276, 7970, 267, 9269, 8356, 1375, 1115, 267, 16741, 609, 10381, 267, 543, 4672, 8645, 269, 1809, 1810, 1405, 5855, 910, 1373, 17154, 3085, 1405, 723, 547, 581, 19309, 256, 1703, 616, 7899, 540, 17705, 8925, 2139, 891, 2395, 269, 5620, 596, 6836, 30288, 5144, 267, 2030, 2861, 16469, 267, 610, 17154, 10217, 13863, 12897, 286, 962, 636, 2439, 4131, 781, 1589, 827, 1946, 930, 1004, 6430, 547, 979, 17154, 269, 3689, 267, 1082, 1004, 1416, 7184, 827, 2831, 543, 1810, 1405, 1616, 873, 2800, 539, 585, 1426, 2504, 269, 19627, 267, 1382, 2982, 602, 4189, 1447, 5779, 666, 1291, 547, 1732, 2949, 1072, 269, 14936, 267, 9870, 2831, 585, 1426, 814, 1713, 5222, 593, 938, 4541, 267, 1519, 17717, 267, 8511, 3154, 5434, 267, 1216, 5533, 267, 543, 2249, 14486, 269, 1635, 7446, 811, 2030, 2861, 6980, 267, 649, 666, 948, 2569, 1346, 2942, 2360, 780, 12244, 281, 8073, 707, 1378, 17154, 7594, 5750, 256, 6056, 827, 1018, 5820, 596, 991, 585, 1142, 7594, 7121, 1107, 14254, 267, 12899, 267, 12129, 267, 543, 16152, 269, 3503, 1524, 2947, 1114, 3681, 585, 1142, 7121, 1210, 1152, 2030, 2861, 5820, 269, 9523, 707, 12125, 609, 2828, 543, 1294, 945, 666, 2097, 909, 609, 519, 1034, 3860, 8286, 2439, 8855, 267, 2469, 17154, 568, 513, 2123, 3903, 543, 3340, 6297, 4058, 547, 2327, 7059, 6484, 269, 13185, 547, 513, 11967, 2937, 610, 3782, 3318, 1354, 1818, 1022, 2101, 2242, 547, 707, 2732, 269, 13773, 22934, 585, 7689, 476, 273, 1141, 649, 786, 4685, 4514, 883, 875, 2469, 17154, 5540, 938, 4703, 543, 938, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2791, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 5728, 267, 1982, 540, 519, 1299, 269, 2324, 540, 9400, 519, 12059, 269, 13690, 267, 476, 272, 262, 679, 325, 656, 26982, 642, 6511, 527, 5918, 10476, 269, 1452, 5171, 1279, 949, 865, 581, 519, 3617, 14645, 8433, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 605, 8010, 532, 547, 513, 2825, 3135, 563, 14814, 569, 19179, 1243, 519, 1880, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 2241, 543, 8949, 865, 281, 513, 1280, 13544, 2589, 286, 2836, 267, 1775, 1590, 16578, 2386, 267, 855, 972, 4523, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 2241, 543, 1616, 1310, 513, 2038, 4826, 10426, 633, 2634, 263, 2395, 264, 1775, 694, 710, 7829, 585, 6219, 267, 18619, 267, 3092, 269, 1306, 22800, 607, 513, 3461, 13379, 3968, 3099, 6107, 5943, 13247, 812, 936, 1790, 641, 1637, 1299, 538, 9238, 540, 589, 6986, 5160, 2298, 540, 2228, 2126, 11387, 3850, 5533, 1747, 9105, 267, 7271, 543, 851, 8062, 269, 1411, 3858, 1033, 1173, 9643, 267, 543, 519, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 2241, 543, 540, 922, 5312, 1036, 6036, 31950, 9222, 5442, 306, 2316, 307, 7473, 292, 1412, 543, 6219, 3146, 26245, 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, 476, 272, 269, 272, 11137, 540, 519, 6092, 692, 8702, 547, 5274, 7126, 543, 6820, 2657, 256, 901, 1576, 6663, 547, 1683, 596, 609, 606, 1620, 540, 519, 1950, 2078, 1063, 1480, 2924, 543, 2518, 1072, 267, 1079, 4610, 602, 616, 5704, 2299, 5532, 2943, 1419, 6594, 14384, 269, 1284, 786, 2263, 875, 1480, 2924, 8155, 543, 4441, 666, 581, 1031, 607, 2645, 547, 2087, 1072, 4093, 5001, 267, 3226, 585, 12790, 5095, 269, 3414, 2013, 2090, 267, 15872, 267, 5717, 267, 543, 13220, 689, 15834, 2959, 267, 649, 786, 4983, 519, 2081, 538, 799, 1480, 2924, 19374, 3565, 547, 4057, 1072, 4093, 543, 2015, 2994, 547, 2232, 891, 2591, 780, 763, 1576, 5956, 676, 10962, 1883, 2035, 543, 10850, 1644, 547, 1480, 2924, 543, 2518, 1072, 267, 1519, 8847, 540, 1072, 267, 1480, 2924, 267, 543, 741, 28622, 269, 1284, 786, 849, 1865, 519, 3140, 1646, 540, 1312, 4610, 543, 5031, 2101, 19325, 543, 10781, 269, 10801, 519, 1576, 267, 649, 786, 11168, 519, 2956, 540, 1514, 21876, 540, 1072, 630, 16256, 295, 264, 971, 607, 6710, 267, 2069, 267, 8027, 267, 1426, 3354, 267, 543, 7130, 1759, 593, 5198, 267, 4008, 267, 4638, 10066, 267, 9659, 267, 2085, 267, 610, 824, 2188, 269, 1635, 6313, 12676, 295, 998, 513, 1480, 2924, 7828, 267, 649, 2832, 547, 8774, 1769, 593, 519, 5817, 3123, 540, 1072, 13103, 543, 1020, 3435, 602, 3895, 9698, 543, 5126, 780, 2414, 9414, 519, 4276, 1063, 1480, 2924, 543, 2518, 1072, 267, 1577, 721, 2015, 519, 1318, 547, 1216, 543, 19455, 607, 513, 4909, 1480, 1318, 1898, 585, 1434, 1072, 269, 4340, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 5111, 476, 273, 5479, 1004, 3668, 1569, 547, 9108, 7307, 6704, 1216, 2533, 267, 543, 936, 3368, 540, 519, 1158, 781, 2551, 1281, 711, 723, 2407, 1569, 547, 2596, 19455, 6703, 269, 19768, 540, 1569, 547, 2973, 1216, 543, 1697, 19455, 8309, 547, 3875, 1072, 2152, 267, 1519, 13165, 267, 26601, 5028, 267, 7988, 550, 2044, 267, 17537, 589, 267, 27193, 1355, 267, 543, 29887, 269, 5015, 267, 2021, 543, 6690, 7703, 519, 20015, 660, 540, 713, 11411, 1813, 547, 6848, 6788, 1472, 11928, 1516, 5107, 543, 28689, 2359, 269, 23496, 8471, 1569, 547, 2922, 1216, 543, 7850, 19455, 3340, 5466, 7293, 7496, 267, 25641, 2853, 267, 543, 1379, 20817, 1765, 718, 540, 799, 3747, 513, 1480, 2924, 1935, 780, 1103, 1840, 547, 3695, 3444, 12827, 1154, 4798, 16046, 1480, 2924, 543, 2518, 1072, 267, 649, 786, 5490, 883, 1585, 3584, 2429, 519, 19496, 269, 1452, 949, 1331, 1384, 265, 7486, 25266, 543, 519, 1318, 547, 1072, 3248, 265, 631, 11189, 9019, 543, 10285, 2924, 3248, 265, 20222, 1996, 3782, 7426, 543, 2550, 3248, 265, 7457, 547, 11955, 543, 7214, 3959, 2924, 3248, 265, 8693, 1689, 543, 2825, 12159, 3248, 265, 26225, 2924, 543, 2790, 1072, 282, 543, 454, 265, 7087, 9082, 262, 2924, 543, 2757, 4915, 780, 9961, 519, 1576, 267, 596, 786, 4497, 609, 3309, 5380, 267, 6436, 267, 543, 16097, 6537, 689, 1857, 1072, 267, 1876, 267, 15257, 267, 19795, 267, 2797, 2257, 267, 6138, 267, 9297, 267, 543, 811, 269, 1411, 786, 1451, 827, 3486, 3656, 7405, 267, 6127, 267, 543, 5238, 3743, 585, 14027, 1480, 2924, 543, 5009, 2518, 1072, 269, 5047, 267, 649, 786, 9691, 2708, 519, 7145, 540, 1114, 4485, 547, 7863, 543, 5009, 1480, 2924, 543, 5355, 1072, 4093, 780, 2026, 2104, 3401, 538, 707, 9757, 4610, 267, 621, 568, 2629, 602, 596, 1174, 519, 4296, 1063, 1480, 2924, 543, 2518, 1072, 269, 20331, 609, 713, 1702, 267, 596, 786, 581, 1732, 9280, 547, 10994, 10296, 2591, 6849, 938, 6385, 4657, 1158, 269, 6787, 596, 11654, 11678, 538, 3782, 267, 3609, 14223, 267, 1382, 267, 23372, 267, 2146, 12180, 267, 610, 11992, 267, 596, 786, 1265, 15792, 3255, 547, 4019, 519, 4245, 4121, 538, 713, 1576, 269, 8625, 267, 649, 4126, 547, 8300, 7279, 267, 6536, 2565, 3206, 267, 5000, 5698, 267, 543, 11349, 17519, 5718, 6131, 547, 30176, 1480, 15683, 543, 4180, 12581, 1569, 547, 2298, 3782, 585, 782, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14549, 7126, 543, 6820, 2657, 257, 5497, 585, 2852, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3693, 538, 4395, 540, 938, 5311, 267, 649, 1175, 25580, 519, 2497, 609, 1079, 588, 2931, 540, 519, 1482, 2450, 269, 1703, 616, 2081, 547, 798, 519, 31811, 1510, 946, 3063, 2230, 269, 634, 2013, 593, 519, 824, 2427, 568, 17411, 1623, 5471, 29182, 269, 4475, 649, 1869, 2226, 1269, 302, 263, 272, 7751, 993, 677, 1242, 1395, 1355, 942, 829, 5106, 543, 1269, 302, 7268, 6912, 23533, 348, 7751, 3063, 2230, 269, 7053, 267, 649, 9192, 519, 1267, 998, 4399, 11312, 339, 773, 16859, 7230, 1046, 692, 2467, 2291, 10782, 2013, 3586, 942, 11191, 540, 632, 4302, 1210, 513, 1906, 588, 2931, 1496, 273, 4940, 4935, 621, 568, 10703, 22133, 547, 1118, 3388, 689, 993, 677, 1242, 547, 10782, 2013, 267, 609, 6654, 2333, 538, 2230, 780, 258, 476, 275, 6201, 692, 296, 723, 519, 3009, 3732, 585, 519, 3003, 5943, 2059, 609, 519, 1806, 269, 1703, 616, 1152, 1269, 277, 259, 3252, 780, 24105, 5719, 1260, 1842, 762, 291, 3225, 324, 826, 3355, 1125, 519, 1239, 2497, 609, 519, 7222, 3252, 269, 7903, 293, 3224, 267, 7903, 12988, 267, 1402, 293, 3224, 543, 1402, 12988, 6354, 12885, 519, 9696, 269, 2268, 7024, 519, 1267, 1310, 4019, 938, 10920, 1842, 762, 1599, 547, 519, 5311, 780, 1012, 476, 275, 269, 272, 12928, 2355, 871, 692, 5978, 1455, 6422, 5752, 19862, 568, 547, 18615, 569, 12337, 7515, 1269, 291, 318, 306, 8961, 971, 602, 1269, 291, 318, 306, 314, 290, 316, 259, 3568, 519, 5021, 1871, 16116, 3615, 689, 1269, 306, 259, 609, 5679, 2355, 871, 4390, 1269, 290, 16859, 29995, 267, 649, 1931, 519, 3615, 607, 1269, 343, 318, 272, 12101, 24126, 21726, 5332, 8961, 543, 1269, 306, 10983, 7807, 346, 343, 318, 272, 12101, 24126, 21726, 10983, 315, 23201, 1284, 12337, 3349, 1269, 291, 3709, 306, 3709, 328, 266, 272, 22288, 689, 1269, 291, 3709, 306, 10983, 4151, 538, 1269, 302, 18154, 7751, 942, 269, 901, 1058, 581, 519, 5106, 585, 4399, 28256, 836, 2401, 697, 259, 543, 4399, 28256, 4120, 3847, 10608, 1677, 1205, 519, 1880, 7127, 1269, 291, 3709, 306, 315, 24189, 570, 22042, 290, 316, 8961, 1269, 302, 18154, 7751, 942, 3411, 823, 952, 649, 616, 2016, 3349, 585, 1269, 291, 318, 306, 259, 543, 1269, 291, 318, 307, 10608, 901, 1131, 581, 519, 4399, 11312, 339, 773, 259, 5106, 780, 1607, 10522, 952, 519, 5311, 2450, 568, 693, 1034, 1269, 333, 8961, 1287, 585, 1022, 5311, 540, 1269, 332, 259, 4238, 267, 649, 666, 29858, 12337, 782, 1269, 325, 259, 538, 1269, 302, 9852, 290, 7751, 942, 1210, 1152, 1269, 302, 7268, 6912, 23533, 348, 290, 7751, 2230, 269, 18564, 2899, 649, 6460, 519, 2489, 5690, 547, 960, 538, 713, 2027, 2013, 267, 621, 568, 9247, 519, 3070, 676, 2274, 328, 29399, 269, 769, 1249, 267, 713, 2489, 1239, 2497, 568, 6273, 676, 1010, 3070, 780, 1012, 476, 275, 269, 273, 26228, 1016, 6783, 2040, 692, 763, 1455, 6422, 5752, 1966, 540, 4466, 519, 5021, 2040, 538, 606, 5044, 263, 528, 267, 1934, 649, 2015, 607, 513, 5311, 264, 609, 1312, 2942, 543, 2318, 2338, 269, 2290, 666, 12337, 621, 538, 5276, 942, 609, 918, 611, 2033, 781, 5690, 269, 901, 568, 513, 10920, 1842, 762, 1599, 267, 1932, 780, 4131, 4399, 15927, 28256, 836, 2401, 697, 3709, 328, 284, 329, 11892, 330, 1535, 10983, 14352, 320, 14720, 22698, 28504, 29408, 1141, 1269, 320, 259, 568, 519, 5021, 2040, 1210, 519, 4098, 267, 1269, 321, 259, 568, 519, 2040, 540, 782, 2609, 689, 519, 4098, 267, 1269, 322, 259, 568, 519, 5021, 1210, 519, 1699, 3693, 543, 1269, 323, 259, 568, 519, 5021, 2938, 865, 2484, 269, 4399, 28256, 4120, 3847, 259, 568, 3989, 13974, 269, 2290, 666, 1294, 602, 18159, 320, 14720, 22698, 28504, 262, 9385, 11312, 339, 773, 630, 320, 3299, 321, 3299, 322, 3299, 323, 10807, 815, 1422, 10946, 5416, 266, 320, 3299, 323, 28504, 262, 7751, 780, 1012, 476, 275, 269, 274, 25674, 2040, 540, 513, 5311, 540, 2609, 692, 19370, 276, 692, 4131, 1269, 343, 318, 272, 12101, 24126, 21726, 5332, 259, 581, 513, 13113, 5311, 540, 2609, 689, 513, 1395, 1355, 18159, 300, 267, 266, 30879, 13552, 1227, 2226, 519, 2040, 540, 782, 3693, 538, 519, 5311, 952, 649, 666, 1039, 543, 18419, 3693, 538, 1312, 1439, 540, 519, 5311, 780, 288, 12863, 4528, 540, 713, 1966, 568, 4280, 538, 11483, 3069, 267, 1141, 649, 616, 4847, 547, 1039, 538, 835, 1439, 543, 18419, 538, 1776, 780, 4131, 1269, 325, 259, 581, 519, 2040, 540, 2609, 538, 519, 5311, 267, 1287, 1269, 325, 259, 568, 18159, 31956, 31956, 266, 7751, 268, 1372, 1260, 1842, 762, 269, 1703, 568, 513, 811, 2489, 3948, 1384, 31628, 332, 277, 692, 259, 325, 259, 568, 513, 4630, 31532, 267, 1287, 621, 568, 10920, 1842, 762, 780, 8170, 1576, 267, 972, 568, 2907, 513, 1239, 2497, 1489, 713, 734, 320, 9416, 3529, 1496, 274, 4940, 5221, 540, 519, 1395, 1355, 2497, 267, 649, 666, 1256, 1450, 6677, 22760, 725, 780, 258, 22108, 692, 314, 272, 316, 590, 269, 4210, 18081, 267, 808, 269, 14205, 720, 267, 6611, 6066, 4123, 26160, 585, 5276, 16571, 542, 267, 19556, 7010, 7869, 269, 476, 1626, 630, 2735, 274, 264, 476, 280, 1700, 2767, 476, 1015, 269, 1911, 278, 20324, 293, 30203, 275, 3393, 5780, 780, 314, 273, 316, 670, 269, 22642, 523, 267, 853, 2931, 8957, 632, 13196, 267, 538, 281, 808, 269, 15651, 630, 10955, 13776, 17270, 543, 10395, 13541, 923, 267, 22219, 12670, 1261, 14988, 6199, 267, 476, 1220, 272, 281, 6032, 269, 476, 25908, 1700, 25375, 476, 1015, 269, 1911, 278, 270, 274, 268, 25851, 268, 4510, 277, 8064, 268, 277, 318, 2190, 780, 314, 274, 316, 681, 269, 670, 514, 2763, 267, 681, 269, 4793, 3205, 267, 674, 5424, 4054, 281, 589, 2241, 2489, 26928, 1239, 2497, 267, 808, 269, 8342, 551, 269, 5358, 269, 476, 1626, 630, 1220, 277, 264, 476, 3192, 1700, 24241, 476, 1015, 269, 6200, 278, 13478, 271, 4817, 6858, 280, 27151, 4335, 6872, 277, 280, 780, 16829, 676, 932, 7776, 2473, 340, 593, 4586, 30475, 281, 5690, 545, 32367, 269, 0, 9288, 2559, 923, 692, 258, 31538, 9764, 5163, 630, 10157, 308, 2020, 4462, 6134, 9764, 5163, 630, 10157, 308, 264, 4386, 950, 606, 1843, 4291, 2373, 513, 9764, 2619, 609, 3586, 9588, 6991, 780, 4462, 6134, 9764, 5163, 630, 10157, 308, 264, 4386, 950, 513, 4062, 540, 11647, 7575, 2059, 513, 9764, 2619, 609, 1109, 320, 3586, 1109, 14588, 539, 1547, 1109, 269, 1109, 763, 2956, 540, 4974, 713, 3350, 568, 538, 1620, 519, 5106, 540, 9817, 267, 1949, 7768, 540, 24039, 543, 5102, 18436, 267, 543, 666, 581, 4294, 1256, 538, 519, 3350, 540, 2067, 543, 5841, 15408, 780, 763, 14330, 308, 814, 10231, 2439, 763, 6991, 1109, 19066, 1109, 1993, 606, 1843, 602, 15824, 7833, 9764, 5163, 568, 17242, 547, 519, 18330, 543, 814, 513, 3586, 9588, 630, 333, 10179, 673, 1871, 1040, 1109, 2691, 22589, 513, 7455, 267, 519, 1109, 767, 6290, 6152, 1109, 8974, 2998, 525, 2242, 538, 4287, 543, 2631, 267, 4061, 267, 972, 568, 1109, 1417, 686, 7065, 531, 10231, 630, 320, 1109, 9573, 1109, 264, 1109, 780, 28495, 686, 7065, 531, 10231, 630, 1492, 1109, 9573, 1109, 264, 568, 3743, 585, 4657, 519, 4287, 543, 4287, 540, 519, 6991, 6152, 1109, 269, 1109, 1103, 519, 4137, 1657, 267, 621, 666, 581, 2938, 602, 519, 6991, 6152, 267, 538, 1840, 547, 1373, 17242, 547, 519, 18330, 267, 814, 1114, 8846, 543, 8846, 585, 1114, 2798, 540, 519, 7455, 269, 1109, 763, 1298, 686, 7065, 531, 10231, 630, 1492, 1109, 9573, 1109, 264, 568, 3989, 676, 519, 5223, 1063, 519, 4009, 540, 519, 6991, 630, 309, 264, 543, 519, 8953, 540, 519, 9764, 2619, 630, 305, 6393, 20540, 543, 4908, 692, 1892, 11270, 630, 307, 264, 1109, 281, 568, 519, 942, 2838, 585, 606, 1843, 538, 9764, 5163, 547, 2347, 513, 2490, 3248, 1892, 22039, 630, 325, 264, 1109, 281, 28812, 519, 1297, 540, 7140, 5340, 538, 513, 942, 8884, 269, 1109, 763, 4559, 1031, 585, 4908, 616, 681, 15014, 630, 516, 14179, 1903, 829, 8792, 264, 543, 21636, 630, 516, 14179, 1903, 829, 2034, 1040, 1109, 763, 1109, 17220, 3590, 540, 19590, 1109, 560, 919, 602, 519, 1770, 540, 6482, 585, 4908, 1590, 581, 519, 21636, 780, 12385, 3012, 1227, 267, 519, 1974, 568, 519, 11201, 540, 519, 4908, 267, 543, 519, 4908, 568, 519, 11201, 540, 519, 1974, 780, 9771, 6991, 692, 763, 1109, 9771, 6991, 630, 22886, 264, 28812, 519, 5223, 540, 519, 1109, 9771, 12761, 1109, 338, 4428, 1229, 676, 513, 5985, 609, 2463, 547, 942, 780, 10673, 1406, 3247, 1631, 2507, 1703, 779, 811, 1310, 519, 32398, 9462, 502, 487, 692, 6097, 547, 519, 1109, 17220, 3590, 540, 19590, 1109, 267, 16070, 6991, 568, 2016, 538, 1109, 2784, 2103, 1109, 704, 2034, 630, 2784, 4882, 6393, 9616, 602, 267, 538, 519, 12761, 1063, 2798, 476, 272, 543, 476, 273, 267, 972, 568, 606, 1109, 9771, 12761, 1109, 1993, 1871, 16564, 269, 1109, 2252, 1169, 2034, 540, 3350, 519, 1482, 5086, 16564, 568, 968, 338, 933, 696, 892, 676, 519, 1899, 11836, 519, 3001, 1843, 547, 519, 4099, 540, 519, 18330, 267, 649, 666, 2161, 602, 519, 1843, 7575, 16564, 32494, 829, 2034, 269, 1109, 1607, 568, 519, 4214, 540, 16070, 6991, 780, 17951, 983, 6991, 666, 581, 2854, 538, 2474, 540, 4908, 543, 1974, 540, 5163, 1109, 269, 1109, 2690, 713, 267, 649, 991, 547, 2015, 602, 267, 538, 513, 2347, 2490, 267, 519, 16070, 12761, 568, 476, 11740, 4113, 630, 273, 1109, 11027, 1109, 2784, 264, 543, 602, 519, 942, 6170, 538, 513, 2347, 2490, 14687, 10502, 547, 519, 1974, 630, 307, 264, 540, 519, 3350, 1384, 7712, 519, 4908, 568, 519, 11201, 540, 519, 1974, 267, 649, 666, 2328, 1384, 9824, 725, 1222, 1063, 16070, 6991, 543, 5276, 6991, 692, 31535, 602, 5276, 6991, 666, 581, 3989, 607, 519, 5223, 1063, 519, 3845, 14612, 630, 24941, 338, 264, 543, 519, 942, 8884, 630, 24941, 339, 1070, 649, 666, 3313, 513, 2078, 1063, 16070, 6991, 543, 5276, 6991, 585, 606, 1843, 602, 15824, 9764, 5163, 780, 2690, 713, 267, 621, 568, 2556, 547, 1174, 602, 267, 538, 513, 2347, 2490, 267, 519, 2230, 4988, 14687, 547, 519, 1109, 26319, 540, 519, 18592, 630, 322, 815, 476, 273, 269, 1109, 11027, 1109, 269, 1109, 305, 264, 30548, 602, 519, 942, 3144, 585, 513, 2347, 2490, 568, 10502, 519, 1974, 630, 307, 264, 540, 519, 3350, 269, 1109, 11997, 267, 649, 666, 2328, 1384, 763, 5276, 6991, 630, 309, 264, 540, 513, 5985, 602, 15824, 9764, 5163, 568, 2016, 676, 519, 1587, 540, 519, 16070, 6991, 630, 22886, 264, 543, 519, 8953, 540, 519, 18330, 269, 0, 11767, 519, 5706, 2032, 4994, 543, 519, 25294, 20800, 883, 519, 9498, 547, 3313, 519, 1216, 25294, 780, 1012, 4826, 590, 4405, 566, 16754, 692, 763, 1739, 4542, 568, 1031, 547, 5173, 1216, 25294, 780, 18933, 815, 16733, 272, 270, 296, 337, 264, 9745, 333, 264, 2608, 1911, 454, 1892, 7316, 4210, 568, 519, 1216, 25294, 630, 260, 994, 1892, 7054, 568, 519, 5706, 2032, 4994, 454, 1892, 562, 568, 519, 25294, 20800, 692, 1012, 1548, 568, 1216, 25294, 2496, 14240, 1384, 12850, 25294, 568, 513, 2268, 540, 519, 6871, 540, 513, 5420, 602, 568, 15459, 609, 1216, 780, 1012, 1215, 547, 5173, 1216, 25294, 2496, 7078, 9046, 1384, 763, 1739, 1383, 14592, 875, 547, 5173, 513, 1216, 25294, 5223, 780, 5575, 267, 3313, 519, 5706, 2032, 4994, 269, 769, 713, 1383, 267, 519, 4994, 568, 6027, 547, 581, 476, 273, 269, 276, 780, 9202, 267, 3313, 519, 25294, 20800, 269, 634, 25294, 20800, 585, 713, 1966, 568, 1336, 547, 581, 476, 274, 269, 276, 780, 7661, 267, 5173, 519, 1216, 25294, 1210, 519, 4542, 1657, 1384, 18933, 815, 630, 272, 270, 296, 337, 264, 9745, 333, 692, 18933, 815, 630, 272, 270, 273, 269, 276, 264, 9745, 274, 269, 276, 692, 18933, 815, 1547, 6860, 815, 476, 275, 260, 0, 18204, 1537, 4399, 842, 3709, 268, 272, 8703, 272, 4153, 15238, 13375, 7268, 2765, 346, 272, 21147, 2410, 272, 14870, 4153, 2431, 9385, 2765, 3189, 9507, 15848, 2410, 263, 272, 14870, 22722, 273, 270, 274, 12917, 272, 21147, 22722, 272, 270, 274, 32556, 1692, 547, 4194, 519, 1739, 7533, 267, 1210, 25586, 3252, 630, 294, 10397, 267, 29530 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 322, 3868, 26293, 568, 2324, 15528, 267, 609, 519, 4604, 4881, 1055, 14541, 1379, 519, 9300, 4295, 15096, 666, 581, 8704, 269, 2201, 606, 14251, 24005, 972, 1058, 581, 24421, 532, 6786, 593, 1312, 8930, 476, 276, 543, 8930, 476, 278, 540, 519, 2168, 13863, 267, 713, 1775, 273, 322, 9920, 593, 519, 13863, 12394, 547, 6494, 1239, 547, 922, 14609, 344, 269, 2991, 9505, 1154, 1524, 519, 9920, 4295, 666, 581, 8704, 543, 519, 4276, 13761, 609, 606, 14251, 24005, 1586, 267, 972, 1058, 581, 513, 3677, 5311, 540, 20512, 1471, 756, 850, 593, 1312, 3515, 269, 901, 1797, 602, 519, 13365, 616, 14379, 7157, 563, 2005, 2337, 547, 723, 519, 6007, 5594, 9901, 585, 519, 3803, 2407, 1449, 269, 634, 14541, 3761, 666, 849, 581, 1031, 547, 9585, 713, 267, 609, 519, 1699, 3970, 1305, 547, 827, 476, 2004, 544, 288, 543, 519, 6453, 1869, 693, 476, 274, 269, 279, 24311, 267, 6028, 519, 9149, 22437, 6007, 4448, 2047, 585, 513, 1906, 3764, 563, 763, 3803, 1900, 568, 547, 1449, 856, 519, 2407, 1062, 910, 609, 3388, 4448, 909, 952, 519, 8470, 568, 4988, 585, 4557, 610, 476, 1428, 7643, 519, 1769, 1058, 2097, 593, 1373, 9141, 3842, 519, 9920, 4295, 781, 623, 310, 300, 3977, 269, 2060, 519, 8470, 538, 6505, 7943, 267, 519, 6007, 1058, 5279, 689, 519, 5818, 20303, 781, 3977, 269, 634, 27967, 7954, 3060, 666, 581, 18549, 1202, 4624, 547, 1294, 952, 621, 781, 2324, 7157, 676, 3168, 693, 519, 623, 310, 300, 1899, 6117, 519, 5818, 20303, 781, 9505, 6658, 8930, 282, 607, 26149, 4679, 609, 6007, 609, 1970, 1533, 540, 5279, 519, 13942, 8700, 1058, 2333, 267, 6029, 602, 607, 811, 1379, 3587, 2139, 689, 7943, 267, 519, 9920, 4295, 568, 1129, 16226, 602, 811, 1379, 695, 3716, 581, 2366, 883, 519, 6007, 2336, 3721, 476, 280, 281, 25715, 593, 17540, 21424, 20603, 454, 293, 340, 21424, 7954, 568, 513, 3684, 1565, 4480, 602, 666, 581, 1031, 538, 519, 1852, 540, 8800, 1949, 1141, 11004, 779, 10462, 538, 1082, 540, 519, 6724, 540, 519, 1062, 1373, 6417, 267, 1818, 606, 8763, 3403, 547, 3977, 1852, 3070, 585, 519, 3804, 2182, 547, 2328, 1524, 28879, 269, 901, 568, 12913, 676, 1210, 9266, 2418, 602, 2887, 12341, 1063, 476, 271, 630, 32401, 264, 543, 476, 272, 630, 25152, 1070, 11589, 10462, 538, 513, 1871, 811, 899, 519, 1259, 513, 1480, 1131, 12462, 2865, 569, 3020, 892, 610, 968, 2254, 2731, 3020, 14615, 543, 3850, 513, 513, 15454, 1858, 1063, 6898, 799, 616, 476, 1911, 260, 3020, 543, 476, 1911, 260, 7301, 269, 634, 1259, 713, 568, 12913, 568, 998, 1101, 2921, 5439, 540, 519, 3403, 4632, 593, 799, 513, 3375, 2115, 547, 581, 1759, 593, 543, 968, 14673, 3960, 4328, 892, 873, 563, 763, 2295, 540, 1022, 27967, 7954, 1062, 568, 513, 968, 14673, 21424, 1997, 894, 3965, 1848, 901, 568, 24188, 540, 513, 5119, 267, 1141, 538, 519, 2013, 540, 519, 6007, 12123, 5547, 513, 476, 274, 343, 274, 1305, 540, 2418, 8151, 1063, 476, 271, 543, 476, 272, 568, 6740, 269, 634, 2418, 538, 519, 5119, 666, 581, 10199, 2404, 609, 875, 513, 1480, 1131, 2601, 827, 1018, 519, 623, 310, 300, 3815, 9013, 519, 590, 12487, 291, 301, 8930, 540, 519, 5818, 20303, 1058, 581, 267, 4470, 593, 875, 519, 15376, 1599, 1657, 4018, 5809, 513, 2016, 1305, 540, 11378, 269, 1280, 1383, 952, 519, 8470, 3403, 6453, 568, 1164, 267, 855, 519, 1699, 1373, 6537, 883, 519, 6007, 568, 1970, 267, 621, 4440, 1797, 602, 811, 1379, 666, 581, 6537, 543, 519, 623, 310, 300, 4259, 568, 711, 6099, 543, 1058, 581, 2799, 269, 17957, 267, 952, 519, 8470, 6453, 4422, 1970, 855, 519, 29789, 568, 1869, 12394, 547, 7903, 513, 1804, 1699, 883, 519, 6007, 1379, 786, 849, 581, 24906, 267, 865, 621, 1131, 581, 1655, 547, 6175, 519, 623, 310, 300, 5365, 547, 519, 5818, 20303, 269, 4495, 519, 3403, 6786, 616, 968, 14673, 3960, 1881, 892, 883, 606, 27967, 1305, 267, 789, 2461, 16611, 676, 891, 2418, 267, 2147, 547, 519, 1259, 513, 6152, 568, 16611, 676, 513, 5119, 267, 547, 5352, 513, 9927, 1305, 799, 568, 11347, 540, 875, 8185, 519, 968, 32474, 892, 8659, 1591, 540, 519, 5119, 1058, 581, 1249, 1819, 883, 519, 3803, 4999, 1599, 563, 8794, 519, 968, 2254, 21553, 921, 7757, 2987, 14870, 617, 892, 6843, 799, 2636, 2473, 7495, 9136, 602, 2936, 2688, 10342, 1932, 7294, 547, 581, 10257, 547, 1118, 689, 519, 6006, 2679, 7161, 267, 543, 513, 2370, 20798, 16654, 595, 10030, 267, 519, 1997, 894, 3965, 267, 2597, 532, 1599, 267, 543, 834, 14673, 3960, 8595, 257, 2147, 547, 519, 7161, 4330, 538, 713, 4704, 281, 5291, 2517, 4178, 6155, 6113, 984, 2125, 2593, 11305, 653, 11721, 340, 21424, 2000, 690, 545, 2987, 2275, 270, 7277, 2412, 279, 280, 2412, 616, 3551, 547, 1118, 267, 543, 1454, 4443, 547, 4603, 609, 269, 0, 16978, 4435, 22817, 1949, 616, 519, 2165, 1031, 547, 4766, 3684, 543, 3157, 799, 616, 1500, 909, 540, 1312, 5122, 543, 7344, 3334, 269, 1452, 1949, 666, 581, 607, 2241, 607, 513, 7903, 7735, 5179, 4358, 5547, 610, 607, 1950, 607, 513, 2347, 4853, 1184, 563, 268, 25080, 12197, 7869, 454, 268, 9823, 7763, 832, 454, 268, 1306, 2106, 28942, 7763, 832, 454, 268, 5153, 16546, 454, 19859, 3887, 937, 549, 24578, 22817, 7010, 630, 300, 32209, 264, 0, 297, 3253, 568, 2462, 593, 11608, 543, 8773, 1382, 609, 930, 540, 519, 536, 1824, 1373, 6322, 2047, 693, 15908, 1235, 543, 1753, 946, 543, 1866, 1373, 3978, 681, 22936, 5867, 269, 589, 1007, 7762, 856, 540, 3567, 568, 1572, 519, 670, 14641, 268, 276, 303, 543, 713, 568, 513, 3978, 681, 22936, 8773, 602, 6663, 547, 798, 519, 1482, 4990, 540, 960, 607, 3425, 269, 634, 3804, 540, 519, 8773, 568, 547, 5372, 3425, 538, 4074, 960, 543, 538, 5906, 960, 5054, 563, 763, 1007, 8773, 6763, 476, 9264, 9492, 7381, 543, 22179, 538, 693, 476, 6200, 11899, 269, 898, 814, 10995, 2934, 899, 2825, 6482, 267, 1843, 6284, 267, 2898, 23073, 5163, 4058, 267, 1852, 2029, 267, 543, 4305, 6609, 12588, 269, 634, 3173, 3297, 519, 8773, 1589, 602, 621, 786, 581, 14323, 585, 4070, 4609, 543, 585, 7011, 1782, 3889, 899, 8484, 543, 9635, 563, 763, 7762, 814, 1079, 5232, 540, 5191, 538, 519, 8405, 267, 1614, 5232, 540, 5191, 693, 519, 22765, 267, 5216, 5232, 540, 5191, 609, 1142, 6186, 267, 3670, 5232, 540, 5191, 609, 1142, 1850, 267, 543, 476, 273, 5232, 540, 5191, 538, 1142, 1688, 269, 634, 2039, 540, 5163, 543, 4222, 540, 519, 8773, 1450, 621, 547, 6023, 1804, 3615, 899, 3044, 533, 16072, 9212, 543, 3819, 13665, 31682, 4604, 563, 12867, 723, 1500, 713, 8773, 7466, 607, 3728, 3379, 547, 3105, 8747, 7064, 547, 513, 4745, 5397, 1062, 609, 2789, 16546, 269, 476, 274, 291, 6482, 540, 519, 1604, 568, 12913, 609, 2212, 2173, 870, 539, 8596, 269, 1879, 519, 2361, 540, 2070, 568, 29572, 539, 676, 3615, 899, 588, 2931, 540, 1570, 610, 6472, 267, 519, 8773, 666, 946, 3965, 547, 6330, 606, 1858, 563, 1103, 4152, 519, 8773, 814, 1044, 2111, 547, 4020, 513, 31682, 4604, 3774, 269, 898, 729, 2111, 547, 4786, 519, 10450, 267, 10709, 593, 519, 960, 17754, 577, 547, 4584, 909, 513, 6656, 540, 3819, 13665, 267, 2539, 519, 31682, 547, 519, 3774, 267, 5431, 543, 4584, 909, 2645, 2877, 267, 543, 1287, 17684, 519, 31682, 547, 519, 3774, 269, 901, 8773, 3884, 1406, 1945, 602, 1480, 4070, 4600, 786, 5660, 267, 621, 949, 835, 1554, 2322, 873, 856, 540, 960, 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 ]
[ 2020, 5425, 14681, 273, 476, 278, 17976, 15942, 593, 7194, 543, 5506, 616, 1759, 593, 5169, 1023, 676, 7905, 13343, 28865, 780, 5425, 14681, 273, 476, 279, 11483, 14681, 273, 25043, 540, 17270, 3163, 476, 273, 17976, 476, 272, 17438, 543, 7194, 630, 272, 264, 9736, 808, 681, 654, 28865, 267, 476, 1220, 277, 282, 595, 808, 8709, 1546, 655, 614, 476, 1220, 278, 692, 5425, 14681, 273, 476, 280, 17796, 7956, 1433, 630, 30672, 540, 11271, 476, 272, 268, 277, 2567, 12708, 10803, 630, 19177, 628, 9990, 264, 667, 14371, 269, 3725, 525, 28331, 2006, 543, 8065, 476, 1220, 272, 630, 14937, 6202, 338, 267, 9625, 28462, 2764, 264, 20043, 281, 5254, 5611, 276, 19556, 7070, 5291, 2517, 4118, 338, 269, 629, 323, 333, 28482, 16896, 270, 349, 777, 23995, 5611, 276, 270, 11483, 6200, 273, 30498, 692, 5425, 14681, 273, 476, 1015, 2368, 8847, 12726, 2230, 630, 28134, 264, 5590, 540, 9988, 540, 1719, 267, 849, 1572, 2609, 713, 1305, 949, 581, 12808, 9988, 666, 581, 2168, 3615, 267, 2621, 267, 3092, 2807, 12726, 15410, 540, 519, 3732, 2230, 692, 5425, 14681, 273, 476, 1556, 2859, 8847, 24438, 606, 14487, 540, 606, 3693, 799, 814, 513, 1871, 630, 324, 3052, 1421, 922, 4463, 267, 2597, 267, 3092, 4700, 9866, 3569, 519, 1871, 540, 513, 4756, 607, 6592, 585, 513, 1880, 3693, 606, 3693, 786, 723, 4632, 609, 2418, 855, 789, 616, 711, 7422, 2394, 649, 2594, 621, 12726, 1239, 1305, 540, 7422, 6508, 689, 513, 3732, 692, 5425, 14681, 273, 476, 1321, 29149, 543, 5606, 22460, 10803, 29149, 7194, 281, 5681, 3405, 2358, 519, 3732, 1239, 630, 553, 513, 1297, 267, 8642, 1862, 264, 5606, 22460, 7194, 281, 4635, 1239, 689, 513, 3732, 547, 18505, 3601, 540, 519, 3732, 2230, 932, 846, 513, 11347, 3732, 630, 27393, 2906, 540, 3732, 6474, 1346, 540, 3732, 2230, 1107, 2352, 264, 769, 2259, 267, 946, 513, 4351, 3732, 630, 26421, 3693, 814, 519, 1482, 10171, 540, 1373, 6074, 2020, 5425, 14681, 273, 476, 1724, 24438, 2010, 19120, 5511, 281, 32633, 1400, 14727, 1538, 5566, 630, 7224, 19280, 538, 2418, 264, 552, 3052, 269, 3023, 267, 13567, 18103, 1400, 630, 17213, 539, 264, 552, 3052, 269, 1362, 540, 4110, 630, 272, 267, 476, 273, 269, 272, 267, 476, 273, 269, 273, 28011, 264, 26592, 281, 2598, 4740, 630, 12248, 762, 264, 1107, 1496, 15759, 518, 316, 552, 3052, 269, 1297, 540, 1004, 538, 513, 4055, 23120, 1107, 1496, 29602, 316, 552, 3052, 269, 4463, 692, 5425, 14681, 273, 476, 1691, 6201, 476, 272, 6993, 7606, 29281, 4567, 476, 273, 7868, 3259, 540, 513, 7131, 476, 274, 7868, 2450, 540, 513, 16445, 540, 6477, 7410, 476, 275, 7868, 2837, 538, 5232, 1298, 580, 8565, 692, 5425, 14681, 273, 476, 1428, 6201, 476, 272, 6993, 7606, 29281, 4567, 32633, 1400, 11305, 1538, 5566, 476, 273, 7868, 3259, 540, 513, 7131, 26592, 282, 6024, 610, 15768, 286, 901, 5673, 593, 875, 596, 2203, 3259, 630, 2381, 2373, 610, 11353, 264, 476, 274, 7868, 2450, 540, 513, 16445, 540, 6477, 7410, 26592, 267, 15768, 630, 604, 649, 1611, 519, 1297, 540, 14918, 264, 476, 275, 7868, 2837, 538, 5232, 1298, 580, 8565, 26592, 267, 6024, 630, 10214, 1498, 621, 1281, 711, 1118, 2631, 547, 2161, 602, 476, 736, 476, 271, 568, 7466, 607, 3636, 607, 476, 1015, 476, 271, 3738, 14272, 16694, 281, 1284, 721, 519, 2165, 2387, 16676, 6681, 319, 513, 3787, 29101, 281, 1280, 721, 513, 4756, 568, 6024, 7933, 1619, 630, 553, 10353, 547, 15768, 264, 952, 1063, 1022, 2418, 1535, 543, 586, 267, 972, 6013, 513, 3791, 1871, 1990, 780, 5425, 14681, 273, 476, 1626, 5681, 3405, 2358, 1239, 595, 1538, 5566, 630, 821, 4756, 2567, 2473, 568, 513, 28547, 4756, 609, 2418, 281, 513, 476, 272, 267, 513, 476, 273, 267, 513, 476, 274, 28011, 513, 737, 28011, 513, 918, 630, 737, 815, 476, 272, 267, 476, 273, 267, 476, 274, 28011, 918, 264, 535, 737, 815, 1297, 540, 2053, 602, 513, 737, 5526, 538, 519, 3732, 535, 737, 568, 519, 4908, 540, 513, 737, 952, 649, 723, 562, 7422, 1287, 281, 3448, 4908, 815, 4908, 1315, 562, 6871, 3448, 4908, 815, 3448, 4908, 476, 1911, 692, 5425, 14681, 273, 476, 1704, 22039, 10552, 7392, 22039, 28731, 22039, 20587, 720, 16674, 589, 476, 13975, 476, 271, 269, 4391, 476, 4391, 260, 9474, 476, 3374, 476, 271, 269, 6187, 476, 277, 260, 645, 476, 11152, 476, 271, 269, 1626, 476, 1626, 260, 744, 476, 23056, 476, 271, 269, 6078, 476, 6078, 260, 570, 582, 1023, 476, 6872, 273, 476, 272, 269, 876, 476, 1911, 260, 3732, 540, 476, 6872, 273, 2550, 630, 333, 815, 476, 6872, 273, 264, 2040, 540, 12451, 815, 562, 692, 5425, 14681, 273, 476, 1240, 4446, 15873, 692, 5425, 14681, 273, 476, 866, 5681, 3405, 2358, 1239, 595, 1538, 5566, 630, 18314, 4632, 2567, 20314, 1890, 3349, 1297, 540, 2550, 609, 1973, 1826, 589, 945, 616, 4775, 568, 476, 10482, 10552, 7392, 11557, 570, 582, 1023, 5256, 4775, 589, 476, 9083, 476, 10482, 476, 13975, 9474, 1321, 476, 2537, 476, 3374, 645, 5379, 476, 5325, 476, 11152, 744, 476, 6344, 476, 14625, 476, 23056, 570, 582, 1023, 476, 18231, 476, 29580, 476, 6872, 273, 692, 5425, 14681, 273, 476, 736, 5681, 3405, 2358, 1239, 595, 1538, 5566, 630, 18314, 4632, 2567, 20314, 1890, 3349, 1297, 540, 2550, 609, 1973, 1826, 589, 945, 616, 4775, 568, 476, 10482, 10552, 7392, 11557, 570, 582, 1023, 4939, 10552, 7392, 676, 3023, 5256, 4775, 5256, 4775, 589, 476, 9083, 476, 10482, 476, 13975, 476, 5392, 260, 476, 7906, 260, 9474, 1321, 476, 2537, 476, 3374, 476, 4097, 260, 476, 5780, 260, 645, 5379, 476, 5325, 476, 11152, 476, 2004, 260, 476, 2004, 260, 744, 476, 6344, 476, 14625, 476, 23056, 476, 7906, 260, 476, 5392, 260, 570, 582, 1023, 476, 18231, 476, 29580, 476, 6872, 273, 692, 5425, 14681, 273, 476, 2641, 4446, 15873, 692, 5425, 14681, 273, 476, 2420, 18103, 1400, 1239, 2473, 568, 606, 3921, 1400, 4756, 609, 2418, 281, 513, 476, 272, 267, 513, 476, 273, 267, 513, 476, 274, 28011, 513, 737, 28011, 513, 918, 3921, 1400, 1797, 602, 281, 513, 476, 272, 513, 476, 273, 513, 476, 274, 1862, 513, 737, 1862, 513, 918, 19469, 4908, 693, 1377, 737, 2433, 524, 737, 815, 2040, 540, 12451, 540, 2418, 1447, 982, 610, 3160, 547, 513, 737, 524, 737, 815, 535, 476, 272, 1341, 535, 476, 273, 1341, 535, 476, 274, 1341, 1862, 1341, 535, 737, 815, 630, 325, 476, 272, 1341, 535, 476, 273, 1341, 535, 476, 274, 1341, 1862, 1341, 535, 737, 268, 272, 3738, 1341, 535, 737, 815, 524, 737, 268, 272, 1341, 535, 737, 2052, 581, 4294, 547, 11050, 1239, 607, 1134, 13718, 5425, 14681, 273, 476, 2537, 595, 636, 11494, 12451, 7089, 540, 6477, 7410, 538, 513, 16445, 281, 630, 4134, 4740, 1239, 264, 524, 272, 284, 325, 272, 284, 272, 267, 524, 273, 284, 325, 272, 266, 325, 273, 284, 272, 267, 524, 274, 284, 325, 272, 266, 325, 273, 266, 325, 274, 284, 274, 267, 524, 275, 284, 325, 272, 266, 325, 273, 266, 325, 274, 266, 325, 275, 284, 277, 267, 3092, 269, 700, 7867, 2450, 22039, 284, 325, 595, 636, 269, 6154, 336, 815, 322, 476, 276, 476, 272, 476, 272, 476, 277, 476, 271, 476, 272, 476, 278, 476, 273, 476, 274, 476, 279, 476, 274, 476, 277, 476, 280, 476, 274, 476, 280, 476, 1015, 476, 280, 476, 1240, 476, 1556, 476, 279, 476, 2918, 476, 1321, 476, 276, 476, 4029, 476, 1724, 476, 274, 476, 4097, 476, 1691, 476, 273, 476, 3607, 11192, 476, 3607, 524, 918, 815, 562, 692, 5425, 14681, 273, 476, 2190, 18140, 1154, 4908, 19469, 4908, 692, 5425, 14681, 273, 476, 1839, 23120, 1239, 589, 1259, 547, 3489, 15768, 2338, 689, 6024, 1239, 281, 19147, 2039, 540, 7422, 883, 1875, 27492, 331, 6260, 11996, 630, 321, 1231, 264, 4032, 1297, 540, 7422, 538, 1142, 10822, 2037, 10405, 5834, 1239, 538, 476, 1789, 7422, 281, 476, 13199, 476, 1839, 476, 10695, 476, 8099, 476, 2568, 476, 6200, 476, 4817, 476, 10037, 476, 11277, 476, 6858, 476, 13647, 476, 4281, 476, 5952, 476, 13970, 476, 1911, 476, 3583, 476, 11152, 476, 14093, 476, 15686, 476, 6872, 476, 5038, 476, 14681, 476, 4366, 476, 10844, 476, 7830, 476, 10441, 476, 16928, 1001, 476, 6924, 476, 4817, 16186, 281, 476, 1839, 547, 476, 1001, 1280, 1383, 267, 596, 666, 946, 476, 1015, 25510, 540, 8700, 476, 736, 1384, 5425, 14681, 273, 476, 2918, 2037, 10405, 9830, 24517, 1674, 6154, 336, 269, 4039, 12171, 516, 336, 269, 4939, 595, 636, 269, 4039, 269, 6154, 336, 269, 476, 866, 269, 276, 524, 2999, 476, 4375, 269, 276, 476, 272, 476, 271, 269, 30033, 476, 274, 269, 274, 260, 476, 4375, 269, 276, 524, 2999, 476, 6795, 269, 276, 476, 273, 476, 271, 269, 6187, 278, 476, 1015, 269, 271, 260, 476, 6795, 269, 276, 524, 2999, 476, 8064, 269, 276, 476, 278, 476, 271, 269, 22001, 476, 3451, 269, 274, 260, 476, 8064, 269, 276, 524, 2999, 476, 4200, 269, 276, 476, 278, 476, 271, 269, 22001, 476, 6321, 269, 277, 260, 476, 4200, 269, 276, 524, 2999, 476, 15686, 269, 276, 476, 3583, 269, 22001, 476, 8064, 269, 280, 260, 476, 15686, 269, 276, 524, 2999, 476, 16928, 269, 276, 476, 274, 476, 271, 269, 1911, 476, 8660, 269, 280, 260, 476, 16928, 269, 276, 524, 2999, 476, 14689, 269, 276, 476, 273, 476, 271, 269, 6187, 278, 476, 9834, 269, 277, 260, 476, 14689, 269, 276, 524, 2999, 476, 9692, 269, 276, 476, 271, 476, 271, 269, 1822, 476, 9834, 269, 277, 260, 476, 9692, 269, 276, 524, 2999, 476, 1960, 269, 276, 476, 271, 476, 271, 269, 1822, 476, 9834, 269, 277, 260, 476, 1960, 269, 276, 524, 2999, 476, 25546, 269, 276, 476, 272, 476, 271, 269, 30033, 1911, 269, 271, 260, 570, 582, 1023, 476, 1789, 476, 272, 269, 1822, 692, 5425, 14681, 273, 476, 2767, 595, 636, 11494, 27008, 692, 12606, 533, 696, 834, 5425, 14681, 273, 476, 272, 11483, 14681, 273, 25043, 540, 17270, 3163, 476, 273, 630, 31628, 3749, 851, 264, 3223, 525, 8709, 1546, 655, 614, 17438, 543, 7194, 1160, 6570, 531, 20603, 16504, 1305, 3069, 3010, 13436, 14245, 692, 288, 1091, 676, 5616, 0, 258, 1215, 798, 596, 4194, 476, 279, 333, 266, 1626, 269, 273, 284, 272, 269, 277, 2496, 12914, 476, 736, 267, 476, 1001, 277, 692, 259, 333, 815, 910, 476, 272, 269, 279, 1839, 6911, 2971, 19247, 1384, 7445, 3667, 346, 326, 1508, 2433, 7684, 476, 279, 562, 1341, 476, 1626, 269, 273, 815, 476, 272, 269, 277, 6911, 259, 279, 562, 815, 476, 272, 269, 277, 910, 476, 1626, 269, 273, 6911, 259, 279, 562, 815, 910, 476, 1691, 269, 277, 6911, 7445, 2765, 3189, 322, 30327, 346, 279, 348, 562, 7346, 322, 30327, 346, 279, 3686, 815, 910, 1422, 2765, 346, 1691, 269, 277, 2410, 279, 10592, 259, 333, 815, 910, 1422, 2765, 346, 278, 269, 274, 2410, 275, 10592, 259, 333, 815, 910, 476, 272, 269, 279, 1839, 259, 0, 763, 8061, 2747, 540, 3624, 10934, 607, 513, 22953, 9046, 692, 273, 3502, 566, 692, 2171, 991, 547, 1265, 856, 1079, 3252, 267, 535, 343, 3287, 11971, 264, 543, 535, 344, 3287, 11971, 1070, 547, 4766, 519, 11539, 269, 1535, 543, 586, 616, 519, 3020, 29978, 543, 20173, 6606, 269, 535, 343, 3287, 11971, 264, 543, 535, 344, 3287, 11971, 264, 616, 519, 11539, 18232, 693, 1448, 630, 343, 11971, 1040, 769, 824, 1913, 267, 952, 630, 343, 11971, 264, 568, 519, 3020, 11282, 267, 1287, 630, 343, 1341, 535, 343, 3287, 11971, 1070, 344, 1341, 535, 344, 3287, 11971, 4297, 568, 519, 1821, 7007, 11282, 269, 4595, 1923, 325, 343, 3287, 1341, 546, 11971, 264, 910, 325, 343, 3287, 11971, 31206, 568, 1454, 4130, 982, 546, 630, 663, 1482, 585, 586, 264, 649, 666, 849, 946, 519, 1079, 3252, 547, 5173, 519, 3020, 11282, 689, 513, 1821, 7007, 11282, 269, 2913, 630, 343, 11971, 264, 581, 519, 1821, 7007, 11282, 267, 630, 343, 910, 535, 343, 3287, 11971, 1070, 344, 910, 535, 344, 3287, 11971, 4297, 568, 519, 3020, 11282, 780, 1103, 519, 1739, 2079, 267, 649, 786, 946, 12354, 1511, 269, 2353, 519, 1239, 1031, 538, 519, 2079 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 16387, 570, 12781, 692, 27094, 1818, 1957, 27858, 267, 8126, 1090, 13410, 267, 543, 1976, 9564, 286, 16387, 568, 519, 2979, 3297, 873, 782, 269, 4841, 2253, 1565, 827, 9511, 950, 789, 616, 6026, 1114, 5546, 543, 7285, 543, 875, 547, 1711, 1007, 3615, 689, 873, 269, 1358, 616, 1869, 5461, 1256, 950, 621, 568, 942, 547, 1451, 875, 547, 3313, 875, 1454, 1216, 621, 786, 1491, 547, 6445, 519, 19943, 610, 5862, 789, 786, 991, 547, 5862, 519, 2777, 267, 855, 950, 1053, 1205, 883, 5376, 916, 543, 2022, 12885, 267, 519, 1187, 609, 9511, 6238, 547, 28201, 269, 16301, 899, 5409, 26382, 267, 598, 673, 267, 543, 14248, 18967, 673, 6494, 1082, 2875, 2786, 547, 11784, 7154, 543, 789, 6560, 538, 741, 5049, 269, 15775, 519, 948, 540, 513, 9511, 20131, 666, 1683, 519, 2875, 609, 606, 1620, 789, 949, 4413, 538, 519, 4928, 780, 1432, 568, 621, 2496, 292, 16090, 22470, 270, 5522, 2033, 16387, 568, 519, 1353, 540, 6366, 2230, 269, 9737, 1169, 6292, 540, 2798, 972, 568, 513, 2189, 1899, 10126, 799, 568, 519, 20125, 7455, 1063, 1346, 1079, 2798, 269, 1452, 1899, 12415, 666, 581, 6905, 547, 3515, 269, 20514, 616, 28222, 1279, 538, 1312, 8846, 543, 585, 1169, 6292, 540, 2798, 593, 519, 1899, 519, 10126, 540, 519, 1899, 1063, 873, 568, 519, 20125, 7455, 602, 666, 581, 6537, 1063, 873, 269, 2353, 540, 891, 2093, 666, 581, 4330, 676, 5373, 593, 513, 6366, 4062, 540, 1957, 269, 3245, 519, 4031, 540, 28070, 16387, 267, 649, 1205, 519, 4583, 25355, 14497, 780, 15239, 7232, 16090, 22470, 16387, 568, 1022, 9511, 602, 568, 1114, 689, 28070, 9511, 269, 898, 568, 513, 5812, 1062, 540, 8847, 267, 10054, 267, 543, 15997, 602, 4766, 971, 3615, 607, 2798, 267, 3515, 543, 14742, 269, 634, 1079, 1034, 1455, 1875, 7232, 16090, 22470, 22762, 1845, 616, 20085, 9511, 543, 5409, 26382, 9511, 269, 634, 1898, 3017, 1063, 28070, 9511, 543, 891, 1079, 1875, 7232, 16090, 22470, 22762, 1845, 568, 519, 2470, 540, 6252, 3515, 281, 769, 28070, 9511, 267, 2016, 513, 1448, 543, 513, 1899, 267, 972, 568, 4010, 835, 1899, 998, 519, 1448, 602, 568, 538, 519, 1482, 7077, 607, 519, 2016, 1899, 543, 2760, 12969, 338, 621, 269, 769, 20085, 9511, 972, 616, 1100, 971, 3515, 269, 769, 5409, 26382, 9511, 972, 616, 693, 2547, 1079, 3982, 3515, 602, 1780, 998, 519, 1448, 543, 616, 6252, 547, 630, 514, 519, 1482, 7077, 607, 543, 798, 711, 12969, 264, 519, 2016, 1899, 780, 305, 22044, 2335, 1014, 16387, 568, 519, 1353, 540, 17208, 7252, 543, 2362, 21021, 5624, 269, 1280, 1383, 267, 596, 1522, 723, 513, 12718, 267, 610, 513, 12106, 543, 707, 3804, 568, 547, 1265, 519, 20125, 7455, 1063, 1022, 6292, 540, 2798, 593, 971, 513, 17208, 2627, 267, 849, 1634, 607, 513, 8766, 2520, 3941, 545, 269, 2107, 596, 949, 1413, 693, 519, 7122, 607, 513, 1614, 21021, 2230, 543, 3801, 547, 1265, 519, 3845, 1063, 270, 19925, 1896, 10785, 780, 2171, 1118, 4466, 513, 11727, 543, 4810, 9511, 20131, 2653, 269, 6787, 596, 616, 538, 991, 540, 513, 2370, 3063, 948, 610, 2576, 945, 666, 4001, 519, 1641, 689, 15072, 267, 17849, 513, 3318, 20131, 666, 1118, 513, 10565, 1764, 593, 513, 2875, 779, 2773, 269, 5272, 9511, 20131, 649, 1683, 814, 513, 2852, 4110, 538, 6128, 267, 2257, 267, 610, 513, 1644, 2361, 540, 1353, 267, 899, 4702, 269, 3776, 3804, 568, 547, 1683, 513, 9511, 20131, 602, 666, 1118, 1620, 519, 2035, 2241, 543, 3551, 269, 1284, 616, 865, 8746, 538, 938, 9511, 21493, 602, 596, 666, 2743, 609, 873, 585, 1863, 269, 3807, 2307, 707, 23468, 4717, 13541, 827, 938, 20821, 543, 13983, 564, 1982, 780, 1012, 16504, 570, 12781, 692, 763, 2596, 1565, 7161, 540, 1169, 1126, 781, 2069, 616, 3710, 538, 10026, 1153, 269, 898, 568, 1934, 602, 513, 1272, 1279, 2648, 585, 1565, 568, 27838, 269, 634, 4909, 2542, 267, 1603, 267, 543, 2979, 1983, 616, 5189, 547, 707, 1126, 585, 519, 1101, 942, 538, 10026, 1153, 269, 769, 1931, 547, 581, 3811, 267, 10026, 1053, 991, 547, 4487, 2596, 6947, 543, 1353, 1983, 269, 16504, 1153, 1058, 581, 513, 2318, 267, 14637, 1604, 1141, 1453, 616, 5189, 547, 1565, 780, 1012, 570, 1075, 5459, 570, 12781, 692, 307, 1075, 5459, 267, 589, 313, 568, 1753, 547, 7366, 540, 938, 5863, 21493, 269, 3245, 2038, 2069, 3610, 547, 20485, 693, 519, 2160, 540, 14151, 267, 11628, 22996, 2488, 513, 20131, 602, 786, 2743, 596, 543, 5924, 707, 2875, 779, 1367, 2115, 269, 19612, 585, 922, 1630, 4040, 1164, 24289, 6080, 267, 570, 1075, 5459, 568, 513, 2725, 17433, 585, 1007, 4213, 269, 1306, 519, 2749, 5170, 547, 8853, 543, 1332, 267, 938, 21493, 786, 581, 2139, 950, 596, 991, 873, 519, 1034, 269, 3245, 519, 18280, 2088, 674, 26743, 1571, 547, 519, 32202, 7035, 320, 15142, 267, 938, 21493, 786, 2951, 547, 782, 2694, 540, 570, 1075, 5459, 547, 1683, 938, 14167, 23468, 2533, 780, 1012, 3776, 15397, 1681, 6796, 692, 9336, 11628, 22996, 20131, 568, 513, 3810, 11727, 267, 2852, 1673, 1122, 7517, 267, 4810, 267, 543, 4628, 9516, 19829, 269, 1411, 666, 1745, 5150, 6616, 602, 1142, 20131, 814, 1044, 8499, 840, 1606, 920, 2989, 543, 9516, 269, 1284, 723, 22608, 4170, 585, 782, 540, 938, 21493, 269, 1284, 2154, 513, 3084, 4282, 2638, 267, 513, 2123, 5967, 267, 543, 1312, 2123, 543, 3318, 8100, 540, 1142, 32358, 269, 1284, 2824, 1152, 519, 1360, 1655, 21493, 585, 938, 7218, 547, 3442, 689, 269, 2659, 10531, 1592, 540, 20083, 21493, 786, 1331, 4648, 4481, 14018, 547, 707, 1126, 779, 1699, 4081, 2115, 269, 634, 10080, 540, 938, 21493, 616, 9867, 543, 741, 1995, 3309, 267, 855, 519, 1455, 3815, 568, 519, 6612, 585, 1565, 543, 2069, 602, 789, 782, 2671, 269, 1306, 938, 7817, 267, 596, 723, 519, 4316, 547, 2689, 543, 3717, 609, 607, 1082, 21493, 607, 596, 6999, 2394, 596, 1265, 519, 1318, 6474, 585, 707, 2875, 780, 1012, 29464, 670, 692, 2162, 9752, 13910, 692, 763, 3450, 2511, 594, 946, 568, 4625, 8200, 593, 519, 1880, 2875, 1373, 6026, 269, 594, 6415, 513, 2462, 10178, 540, 519, 740, 720, 1412, 24876, 513, 812, 513, 3165, 267, 543, 646, 786, 3548, 585, 513, 1554, 269, 17546, 513, 812, 547, 3165, 267, 543, 646, 786, 3548, 585, 519, 1964, 540, 1010, 1272, 8339, 3733, 6662, 568, 547, 4001, 513, 1126, 711, 1152, 519, 1570, 267, 855, 875, 789, 1655, 1451, 865, 602, 789, 666, 4001, 2933, 269, 594, 2972, 1210, 10858, 8100, 602, 616, 4143, 547, 519, 1126, 865, 602, 789, 786, 811, 3362, 9787, 519, 2035, 269, 594, 3494, 513, 10531, 1935, 1568, 1655, 780, 2162, 15232, 12834, 692, 296, 723, 12236, 513, 20277, 781, 4110, 538, 8950, 7177, 609, 513, 3301, 1445, 2059, 609, 513, 19833, 7177, 5634, 269, 594, 729, 476, 274, 5491, 3108, 2476, 689, 1312, 1250, 4569, 543, 6355, 1295, 832, 269, 769, 519, 2063, 476, 276, 1296, 267, 594, 723, 4691, 1819, 1053, 538, 9978, 4569, 267, 10789, 476, 272, 543, 476, 273, 267, 16387, 267, 20145, 267, 10439, 9978, 267, 8212, 267, 543, 27018, 12307, 269, 594, 723, 6026, 2979, 585, 519, 2250, 476, 275, 1296, 693, 519, 12333, 6298, 12562, 13804, 564, 693, 700, 21865, 4400, 3427, 538, 519, 5396, 540, 10789, 594, 267, 10789, 594, 12968, 832, 267, 16387, 267, 16387, 12968, 832, 267, 10789, 4083, 267, 10789, 4083, 12968, 832, 267, 10803, 267, 9119, 585, 5441, 3367, 1465, 267, 543, 27565, 8551, 4569, 780, 2162, 28946, 1113, 338, 692, 13911, 13595, 9129, 4240, 268, 3528, 5426, 5729, 454, 8448, 9119, 12333, 6298, 12562, 13804, 564, 476, 280, 268, 1321, 476, 1220, 278, 268, 9690, 454, 8448, 570, 12460, 10060, 651, 5783, 540, 2696, 676, 18321, 476, 280, 268, 1321, 476, 1220, 276, 268, 1220, 278, 454, 291, 12801, 8950, 7177, 2160, 540, 8419, 22601, 476, 1220, 275, 692, 1012, 3967, 564, 808, 692, 2162, 9752, 13910, 692, 296, 2972, 3450, 282, 621, 568, 1250, 1655, 13007, 269, 594, 1174, 602, 2979, 568, 711, 513, 834, 325, 2948, 924, 1641, 257, 547, 513, 2603, 540, 1053, 269, 11554, 835, 593, 835, 538, 513, 23468, 3510, 4991, 2250, 519, 2942, 3625, 1053, 723, 538, 513, 2979, 4928, 269, 11153, 540, 1250, 4357, 1053, 723, 5249, 609, 803, 585, 1896, 1296, 269, 4256, 3237, 1767, 602, 789, 5433, 811, 8746, 538, 519, 1362, 4055, 543, 538, 4152, 3871, 1317, 540, 741, 960, 609, 803, 269, 769, 1840, 547, 23468, 538, 2757, 1153, 2979, 5396, 267, 594, 723, 849, 5249, 609, 1896, 1053, 593, 13662, 2969, 543, 20389, 7041, 269, 2353, 540, 891, 1053, 6913, 513, 2362, 6060, 593, 891, 4255, 1310, 2324, 609, 803, 835, 593, 835, 780, 2162, 15232, 12834, 692, 296, 6026, 476, 4097, 1296, 609, 519, 2871, 559, 5112, 6019, 3427, 3590, 267, 538, 13983, 839, 4011, 334, 267, 12135, 269, 594, 19622, 538, 4873, 476, 1220, 278, 267, 543, 729, 4280, 547, 6445, 476, 273, 954, 574, 7158, 538, 519, 11354, 543, 12096, 5033, 22246, 540, 476, 1220, 279, 269, 594, 6026, 782, 6030, 689, 2489, 2979, 998, 12968, 832, 2776, 23343, 1529, 639, 269, 594, 723, 1044, 27352, 23468, 693, 1753, 585, 519, 2063, 476, 278, 610, 476, 279, 1296, 267, 547, 7110, 1250, 4747, 780, 2162, 28946, 1113, 338, 692, 13911, 13595, 9129, 4240, 268, 3528, 5426, 5729, 454, 291, 12801, 18520, 9119, 2160, 540, 12135, 8566, 516, 839, 4011, 334, 29172, 476, 3192, 273, 692, 1012, 16907, 529, 645, 692, 2162, 9752, 13910, 692, 296, 3494, 602, 17284, 538, 3450, 2501, 689, 519, 4116, 781, 9542, 547, 2875, 781, 1808, 2115, 269, 769, 1880, 267, 585, 930, 1053, 267, 14839, 949, 581, 519, 1898, 5057, 585, 873, 547, 1174, 513, 1978, 1523, 610, 606, 2856, 538, 6128, 267, 543, 676, 7677, 5109, 1806, 543, 1585, 15997, 609, 5961, 6087, 519, 2875, 547, 1451, 519, 1523, 267, 6466, 585, 824, 1053, 621, 949, 581, 519, 15821, 3830, 602, 2636, 873, 547, 1294, 513, 1978, 2856, 269, 769, 519, 1101, 7008, 540, 7886, 267, 594, 16785, 585, 519, 1808, 2115, 540, 519, 2875, 543, 1287, 993, 2111, 547, 1921, 609, 602, 2875, 865, 602, 646, 24172, 7959, 6899, 609, 519, 1641, 269, 594, 993, 513, 3461, 4116, 543, 3494, 602, 782, 1053, 616, 2111, 547, 9787, 519, 1641, 269, 594, 4001, 538, 513, 5676, 1441, 6073, 267, 865, 602, 519, 1888, 4843, 568, 17396, 543, 5205, 513, 9266, 2095, 269, 594, 1118, 2386, 602, 519, 7811, 2035, 616, 4835, 1242, 538, 513, 6405, 1383, 585, 519, 2875, 269, 26361, 782, 267, 594, 4163, 513, 2318, 29916, 16382, 594, 979, 543, 5000, 1053, 547, 2972, 2979, 780, 2162, 15232, 12834, 692, 296, 993, 513, 10927, 540, 12821, 24728, 267, 609, 513, 4569, 543, 10017, 22601, 5232, 269, 31035, 689, 1250, 1079, 32407, 594, 723, 1295, 832, 538, 13898, 543, 15465, 3163, 269, 4438, 1250, 1296, 540, 1164, 1153, 543, 2852, 267, 594, 723, 4691, 1819, 1053, 538, 9119, 4534, 581, 621, 538, 11810, 610, 7194, 267, 610, 519, 2979, 6712, 540, 519, 20389, 269, 2311, 519, 4090, 594, 960, 851, 6066, 693, 519, 11114, 1310, 1153, 1982, 267, 1572, 20707, 2131, 14623, 3013, 5549, 1421, 607, 513, 2979, 14357, 585, 1312, 1164, 1153, 543, 1647, 1153, 269, 594, 723, 15548, 538, 1585, 19556, 14847, 1431, 267, 543, 723, 4465, 3875, 17758, 267, 1519, 519, 9835, 15356, 12736, 1676, 538, 2475, 4456, 4811, 630, 18197, 2276, 19556, 13669, 550, 9612, 6393, 2162, 28946, 1113, 338, 692, 13911, 13595, 9129, 4240, 268, 3528, 5426, 5729, 454, 291, 12801, 11930, 9119, 12821, 24728, 645, 659, 3559, 832, 476, 1220, 275, 454, 291, 12801, 10017, 12821, 24728, 22601, 476, 1220, 275, 692, 1012, 15550, 617, 966, 692, 2162, 9752, 13910, 692, 763, 22294, 540, 1250, 3450, 6138, 543, 2123, 3450, 3853, 568, 547, 948, 1053, 1020, 741, 1378, 3206, 1983, 269, 594, 3494, 782, 1053, 1058, 4734, 519, 1153, 11439, 609, 519, 2702, 547, 1589, 585, 873, 30441, 267, 547, 1589, 9691, 543, 547, 1589, 21176, 269, 4197, 875, 1004, 1451, 568, 835, 540, 519, 1713, 3344, 540, 3450, 269, 901, 568, 5532, 547, 741, 968, 32474, 892, 4282, 543, 15657, 269, 634, 1883, 547, 3450, 568, 547, 9305, 547, 519, 5304, 676, 4358, 689, 1018, 789, 917, 543, 2679, 2390, 621, 269, 1306 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1144, 9166, 27030, 2018, 1582, 8807, 578, 731, 4590, 2018, 1582, 6155, 1144, 4590, 13872, 1038, 8640, 1463, 2652, 1412, 325, 578, 731, 5091, 1144, 318, 3847, 12466, 2018, 1582, 8807, 578, 731, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 325, 578, 731, 5091, 1144, 318, 2431, 12466, 2018, 1582, 8807, 578, 731, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16192, 3890, 4449, 454, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 12466, 2018, 1582, 269, 3724, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 3847, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 2431, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 16192, 3890, 27030, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 1575, 9166, 27030, 2018, 1582, 269, 3724, 4590, 2018, 1582, 269, 1575, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 1575, 318, 3847, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 269, 1575, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 1575, 318, 2431, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 269, 1575, 4590, 2018, 1582, 16192, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 5091, 1144, 9166, 27030, 2018, 1582, 269, 3724, 4590, 2018, 1582, 6155, 1144, 3890, 13872, 13872, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 5091, 1144, 318, 3847, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 5091, 1144, 318, 2431, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16192, 4590, 4449, 27030, 1038, 8640, 1463, 2652, 1412, 318, 3847, 9166, 4449, 8931, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 318, 1575, 318, 3847, 12466, 2018, 1582, 16000, 4590, 2018, 1582, 269, 1575, 4590, 4449, 8931, 1038, 8640, 1463, 2652, 1412, 318, 6658, 318, 3847, 12466, 2018, 1582, 16000, 4590, 2018, 1582, 6155, 1144, 4590, 4449, 454, 1038, 8640, 1463, 2652, 1412, 318, 2431, 12466, 2018, 1582, 16192, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 318, 1575, 318, 2431, 12466, 2018, 1582, 16192, 4590, 2018, 1582, 269, 1575, 3890, 14030, 672, 692, 1038, 8640, 1463, 2652, 1412, 318, 6658, 318, 2431, 12466, 2018, 1582, 16192, 4590, 2018, 1582, 6155, 1144, 3890, 11434, 692, 1038, 8640, 1463, 2652, 1412, 318, 1575, 12466, 2018, 1582, 269, 1575, 3890, 14030, 672, 692, 1038, 8640, 1463, 2652, 1412, 318, 6658, 9166, 27030, 2018, 1582, 6155, 1144, 3890, 4449, 13376, 454, 4449, 8931, 1038, 3116, 912, 2018, 2132, 8771, 28329, 1038, 2132, 6936, 22562, 8931, 825, 1219, 535, 578, 731, 4311, 2187, 1038, 5727, 1372, 920, 848, 586, 540, 476, 272, 12163, 1038, 1582, 13885, 815, 1582, 13885, 1341, 476, 272, 692, 825, 1219, 1394, 4311, 2187, 1038, 5727, 27463, 848, 586, 540, 476, 272, 12163, 1038, 1582, 13885, 815, 1582, 13885, 910, 476, 272, 692, 825, 1219, 2451, 4311, 2187, 1038, 5727, 1372, 920, 848, 1535, 540, 476, 272, 12163, 1038, 1582, 11859, 815, 1582, 11859, 910, 476, 272, 692, 825, 1219, 1318, 4311, 2187, 1038, 5727, 27463, 848, 1535, 540, 476, 272, 12163, 1038, 1582, 11859, 815, 1582, 11859, 1341, 476, 272, 454, 3097, 825, 1219, 909, 4311, 2187, 1038, 5727, 27463, 848, 1990, 540, 476, 272, 12163, 1038, 1582, 269, 345, 815, 1582, 269, 345, 1341, 476, 272, 692, 825, 1219, 1524, 4311, 2187, 1038, 5727, 1372, 920, 848, 586, 2073, 540, 476, 272, 12163, 1038, 1582, 269, 345, 815, 1582, 269, 345, 910, 476, 272, 692, 825, 1219, 26134, 4311, 2187, 1038, 5727, 2132, 513, 804, 821, 8173, 1038, 2132, 3213, 15453, 4311, 11859, 267, 1582, 13885, 267, 1582, 269, 345, 994, 8931, 825, 1219, 3845, 4311, 267, 4717, 17107, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 5727, 8873, 6207, 3845, 689, 1071, 3581, 815, 6912, 263, 630, 343, 910, 1535, 8203, 273, 1341, 630, 339, 910, 586, 8203, 273, 1341, 630, 345, 22271, 8203, 273, 4297, 18851, 13872, 1038, 2132, 630, 630, 1345, 11859, 910, 4717, 11859, 264, 2878, 476, 273, 1341, 630, 1345, 13885, 910, 4717, 13885, 264, 2878, 476, 273, 1341, 630, 1345, 269, 345, 910, 4717, 269, 345, 264, 2878, 476, 273, 3738, 2878, 476, 271, 269, 276, 692, 8931, 825, 1219, 3845, 13448, 4311, 267, 4717, 2187, 1038, 5727, 2132, 3448, 3845, 689, 1535, 18851, 1363, 692, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 2132, 1582, 11859, 910, 4717, 11859, 22562, 825, 1219, 3845, 14729, 4311, 267, 4717, 2187, 1038, 5727, 2132, 3448, 3845, 689, 586, 20701, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 2132, 1582, 13885, 910, 4717, 13885, 22562, 825, 1219, 3845, 318, 345, 4311, 267, 4717, 2187, 1038, 5727, 2132, 3448, 3845, 689, 1990, 20701, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 2132, 1582, 269, 345, 910, 4717, 269, 345, 22562, 825, 1219, 568, 5334, 877, 4311, 267, 4717, 2187, 1038, 5727, 8873, 3020, 952, 4717, 568, 1582, 20701, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 952, 4717, 2652, 1582, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 22562, 825, 1219, 568, 318, 1122, 783, 4311, 267, 4717, 2187, 1038, 5727, 8873, 3020, 952, 4717, 723, 1482, 1535, 11971, 267, 345, 540, 1582, 12163, 13872, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 952, 4717, 11859, 2652, 1582, 11859, 543, 4717, 269, 345, 2652, 1582, 269, 345, 543, 4717, 269, 345, 2652, 1582, 269, 345, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 27030, 8931, 8931, 825, 1219, 568, 18425, 318, 9792, 4311, 267, 4717, 267, 1253, 2187, 1038, 5727, 8873, 3020, 952, 4717, 3845, 689, 1582, 568, 552, 1872, 783, 610, 1447, 540, 1253, 12163, 13872, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 264, 610, 711, 1253, 610, 711, 630, 568, 27349, 5560, 626, 267, 703, 264, 610, 568, 27349, 5560, 626, 267, 10581, 264, 476, 2187, 2018, 2132, 8771, 8528, 1038, 952, 4717, 6155, 2700, 4311, 264, 10922, 2612, 5560, 626, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 8931, 8931, 825, 1219, 538, 318, 3916, 1080, 4311, 267, 7182, 2187, 1038, 5727, 8873, 476, 273, 291, 5025, 337, 2001, 609, 1533, 540, 1351, 5142, 8826, 11282, 912, 1038, 7182, 815, 1496, 1496, 343, 15902, 267, 586, 28804, 267, 1990, 28804, 3910, 1496, 343, 2173, 1314, 267, 586, 26174, 267, 1990, 26174, 316, 476, 6540, 1038, 8173, 1038, 952, 711, 7182, 610, 711, 568, 27349, 263, 3916, 1080, 267, 1592, 264, 610, 711, 568, 27349, 263, 7182, 314, 271, 6012, 271, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 271, 6012, 272, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 271, 6012, 273, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 272, 6012, 271, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 272, 6012, 272, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 272, 6012, 273, 3910, 703, 2187, 2018, 2132, 8771, 692, 1038, 856, 318, 3916, 527, 815, 1496, 1496, 16178, 267, 8771, 267, 8771, 3910, 1496, 16178, 267, 8771, 267, 8771, 316, 23378, 1038, 1267, 815, 6936, 692, 1038, 952, 1582, 11859, 3436, 7182, 314, 272, 6012, 271, 14158, 2018, 856, 318, 3916, 527, 314, 272, 6012, 271, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 13885, 3436, 7182, 314, 272, 6012, 272, 14158, 2018, 856, 318, 3916, 527, 314, 272, 6012, 272, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 269, 345, 3436, 7182, 314, 272, 6012, 273, 14158, 2018, 856, 318, 3916, 527, 314, 272, 6012, 273, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 692, 1038, 952, 1582, 11859, 2999, 7182, 314, 271, 6012, 271, 14158, 2018, 856, 318, 3916, 527, 314, 271, 6012, 271, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 13885, 2999, 7182, 314, 271, 6012, 272, 14158, 2018, 856, 318, 3916, 527, 314, 271, 6012, 272, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 269, 345, 2999, 7182, 314, 271, 6012, 273, 14158, 2018, 856, 318, 3916, 527, 314, 271, 6012, 273, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 454, 4449, 454, 1038, 2132, 1267, 267, 856, 318, 3916, 527, 22562, 8931, 825, 1219, 547, 23952, 4311, 2187, 8931, 1038, 2132, 1193, 4311, 11859, 264, 1341, 1412, 10086, 266, 1193, 4311, 13885, 264, 1341, 1412, 10086, 1341, 1193, 4311, 269, 345, 9239, 825, 1219, 1205, 27306, 4311, 2187, 1038, 5727, 27987, 630, 343, 267, 586, 267, 1990, 264, 24042, 12163, 1038, 2132, 24042, 4311, 10947, 303, 3789, 15405, 8931, 825, 1219, 1205, 303, 3789, 4311, 2187, 1038, 5727, 27987, 630, 343, 267, 586, 267, 1990, 264, 1592, 12163, 1038, 2132, 630, 1345, 11859, 267, 1582, 13885, 267, 1582, 269, 345, 2020, 825, 1219, 1305, 303, 3789, 4311, 267, 1064, 2187, 1038, 5727, 13729, 1535, 11971, 267, 345, 20701, 1038, 952, 711, 1064, 610, 711, 568, 27349, 263, 1842, 267, 24042, 3738, 610, 7003, 263, 1842, 264, 11203, 476, 274, 610, 711, 568, 27349, 263, 1842, 314, 271, 3910, 703, 264, 610, 711, 568, 27349, 263, 1842, 314, 272, 3910, 703, 264, 610, 711, 568, 27349, 263, 1842, 314, 273, 3910, 703, 2187, 2018, 2132, 8771, 28329, 1038, 1582, 11859, 815, 1064, 314, 271, 2639, 1038, 1582, 13885, 815, 1064, 314, 272, 2639, 1038, 1582, 269, 345, 815, 1064, 314, 273, 6540, 1038, 2132, 8771, 692, 672, 0, 5035, 7435, 1384, 825, 1948, 8073, 513, 1688, 609, 606, 8900, 1592, 540, 6486, 543, 519, 2016, 1688, 1297, 563, 825, 1948, 7435, 1297, 666, 2901, 581, 476, 272, 610, 476, 273, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 1688, 5332, 334, 2187, 1038, 952, 1688, 5332, 334, 3436, 476, 273, 610, 1688, 5332, 334, 2999, 476, 272, 912, 2018, 6318, 28759, 3488, 21652, 1100, 666, 2901, 581, 476, 272, 610, 476, 273, 5073, 1038, 1582, 11519, 11568, 815, 11713, 1038, 1582, 11519, 8518, 5332, 334, 815, 1688, 5332, 334, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 6486, 4311, 2187, 1038, 2132, 1582, 11519, 11568, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1688, 5332, 334, 4311, 2187, 1038, 2132, 1582, 11519, 8518, 5332, 334, 692, 825, 1219, 1039, 6831, 731, 4311, 267, 3556, 2187, 1038, 1582, 6983, 1841, 6910, 6262, 731, 2020, 825, 1219, 1039, 6831, 1841, 4311, 267, 6486, 2187, 1038, 585, 3556, 538, 6486, 912, 2018, 1582, 6983, 1841, 6910, 6262, 731, 2020, 825, 1219, 4894, 6831, 731, 4311, 267, 3556, 2187, 1038, 952, 3556, 538, 1582, 6983, 1841, 912, 2018, 1582, 6983, 1841, 31927, 6262, 731, 9239, 5035, 6215, 582, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11519, 335, 272, 318, 2452, 539, 815, 11713, 1038, 1582, 11519, 335, 273, 318, 2452, 539, 815, 11713, 1038, 1582, 11519, 7773, 1676, 815, 476, 271, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 533, 272, 318, 2452, 539, 4311, 2187, 1038, 2132, 1582, 11519, 335, 272, 318, 2452, 539, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 533, 273, 318, 2452, 539, 4311, 2187, 1038, 2132, 1582, 11519, 335, 273, 318, 2452, 539, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 16771, 4311, 2187, 1038, 2132, 1582, 11519, 7773, 1676, 692, 825, 1948, 5410, 2016, 3556, 547, 18921, 593, 2016, 1688, 781, 2427, 952, 519, 3556, 12851, 547, 454, 825, 1948, 602, 1688, 563, 825, 1948, 14780, 1047, 28759, 952, 519, 3556, 1281, 711, 4866, 547, 519, 2016, 1688, 563, 825, 1219, 1404, 6831, 731, 4311, 267, 3556, 267, 1688, 17107, 1038, 952, 1688, 269, 8518, 5332, 334, 2652, 476, 272, 912, 2018, 5129, 8217, 815, 1582, 11519, 335, 272, 318, 2452, 539, 454, 1038, 3116, 912, 2018, 5129, 8217, 815, 1582, 11519, 335, 273, 318, 2452, 539, 692, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13202, 476, 1428, 267, 476, 1001, 276, 454, 763, 476, 1001, 275, 5259, 5019, 3949, 936, 26219, 11906, 1284, 777, 976, 20121, 2315, 543, 741, 11572, 8177, 267, 609, 13159, 7033, 5202, 540, 15638, 454, 763, 18368, 268, 10864, 582, 7007, 3375, 602, 4718, 519, 26219, 2229, 779, 3114, 9604, 6006, 9243, 1242, 676, 29230, 3974, 538, 519, 11335, 7256, 538, 4864, 476, 1001, 275, 3361, 7839, 1857, 10845, 538, 10255, 543, 7977, 267, 689, 519, 4090, 621, 729, 9307, 1896, 3275, 4505, 269, 1717, 267, 896, 2178, 2604, 689, 519, 6341, 31730, 2229, 267, 2101, 6469, 2923, 941, 27209, 689, 8989, 827, 621, 269, 634, 3390, 729, 849, 5266, 896, 3146, 19959, 538, 519, 3486, 2527, 2923, 267, 607, 1134, 267, 3226, 538, 519, 2629, 2038, 3275, 1354, 519, 2680, 2968, 513, 3655, 527, 6104, 328, 563, 11693, 519, 2923, 779, 3448, 967, 29924, 267, 519, 3390, 729, 6854, 9800, 267, 543, 1705, 4309, 9645, 1857, 3007, 267, 5097, 998, 519, 960, 540, 29065, 15628, 269, 634, 5259, 2442, 856, 322, 787, 3576, 519, 1106, 540, 1857, 17600, 543, 30852, 689, 3025, 1519, 1455, 4961, 267, 13278, 2006, 267, 7286, 27563, 267, 14761, 543, 824, 1857, 5515, 269, 634, 17600, 8445, 539, 538, 5147, 543, 4864, 267, 950, 519, 4890, 5106, 729, 5645, 856, 593, 519, 2475, 13108, 6077, 631, 309, 15729, 14105, 267, 538, 606, 1858, 22236, 540, 519, 6532, 540, 11511, 974, 267, 538, 3486, 7297, 1063, 10255, 543, 7977, 563, 4263, 519, 942, 267, 519, 11786, 2470, 540, 519, 5692, 729, 28978, 676, 519, 2475, 4108, 779, 11760, 618, 602, 2094, 971, 513, 1184, 1185, 2760, 1044, 13986, 267, 606, 4998, 1267, 1223, 711, 581, 16798, 268, 1498, 3388, 1131, 2048, 22238, 2406, 685, 1439, 9108, 269, 16380, 543, 32228, 2103, 267, 3226, 1346, 945, 2661, 2282, 519, 7013, 5032, 338, 267, 2808, 713, 1544, 3352, 22529, 1043, 693, 1655, 543, 18796, 741, 6608, 22599, 513, 1788, 789, 5156, 547, 581, 5906, 547, 519, 1604, 543, 547, 741, 24454, 563, 288, 11572, 17136, 1282, 519, 11572, 5510, 4149, 324, 1783, 454, 7628, 519, 20833, 1606, 869, 4832, 3275, 267, 519, 3114, 9604, 3390, 729, 835, 540, 519, 1906, 2101, 2798, 540, 9880, 630, 1278, 982, 519, 15194, 22687, 779, 3454, 543, 2804, 4507, 264, 13389, 519, 6341, 31730, 2229, 269, 1717, 267, 1310, 519, 2475, 13108, 543, 25944, 585, 519, 1160, 22128, 540, 11906, 1284, 777, 976, 9307, 593, 476, 1724, 4864, 602, 519, 5692, 1185, 8854, 2687, 547, 1544, 267, 609, 1100, 7805, 2825, 3441, 267, 519, 3390, 729, 3533, 16618, 543, 20374, 689, 519, 2923, 15587, 563, 32701, 267, 5103, 519, 14897, 766, 540, 519, 3390, 689, 3232, 6214, 1310, 519, 4832, 12424, 267, 519, 1739, 5892, 10595, 335, 21242, 1592, 540, 782, 5259, 17600, 543, 2147, 3527, 1996, 519, 3114, 9604, 9552, 3609, 6920, 602, 519, 6896, 4187, 1705, 723, 513, 13455, 543, 1713, 1909, 538, 2810, 24353, 5134, 6412, 540, 519, 10002, 641, 983, 6341, 31730, 2229, 267, 799, 568, 1631, 6849, 7142, 12836, 593, 476, 1839, 5130, 563, 11997, 267, 1247, 5259, 15628, 941, 538, 519, 1439, 8572, 547, 1689, 741, 2229, 779, 13384, 11208, 540, 519, 29230, 3974, 1544, 267, 519, 18487, 32398, 602, 741, 1857, 17600, 543, 1514, 2923, 11044, 6383, 8197, 5280, 3142, 1927, 513, 9962, 2039, 540, 4961, 547, 519, 2427, 540, 519, 11685, 20219, 6020, 313, 288, 267, 799, 29860, 6619, 538, 519, 1135, 3149, 1310, 3864, 12057, 776, 12836, 540, 2038, 4832, 563, 13295, 267, 538, 519, 19469, 2079, 267, 519, 11685, 21445, 17600, 543, 1857, 3527, 3100, 547, 723, 5280, 538, 24569, 1489, 585, 20219, 6020, 313, 288, 267, 543, 1256, 10888, 621, 1007, 17037, 267, 1282, 519, 3335, 3500, 4832, 3275, 267, 950, 6644, 1135, 3149, 941, 2322, 593, 3180, 269, 2290, 1267, 540, 713, 729, 602, 6341, 31730, 543, 1010, 2319, 4607, 513, 678, 8775, 8710, 950, 267, 13059, 689, 16314, 538, 2038, 5181, 267, 789, 941, 21947, 609, 1007, 1239, 602, 2322, 20219, 6020, 313, 288, 1256, 2417, 6619, 540, 519, 3026, 320, 17435, 758, 7806, 807, 6261, 3008, 10498, 22687, 563, 763, 11906, 1284, 777, 976, 17136, 543, 700, 24147, 32185, 1744, 22284, 454, 763, 6305, 14012, 267, 4250, 532, 2417, 17600, 936, 1010, 10002, 641, 983, 2804, 543, 2883, 11650, 609, 3486, 5491, 832, 267, 729, 7142, 547, 1847, 18858, 11986, 12909, 547, 8303, 282, 5612, 1310, 713, 3357, 519, 4715, 12386, 540, 7128, 538, 678, 3999, 10591, 9505, 1154, 1524, 1804, 2694, 540, 634, 1087, 531, 517, 5942, 267, 26723, 839, 4601, 547, 16102, 3026, 320, 17435, 758, 7806, 807, 24788, 2456, 945, 3357, 547, 3717, 16280, 547, 741, 1378, 588, 3042, 5304, 267, 693, 519, 5993, 16777, 4041, 311, 17269, 6679, 538, 5181, 267, 5103, 513, 3668, 540, 1022, 1713, 1486, 22246, 593, 519, 10754, 3544, 269, 6270, 2238, 8612, 519, 2186, 540, 1612, 8457, 807, 17680, 6137, 519, 2229, 563, 21579, 31730, 685, 3375, 547, 2709, 909, 10255, 607, 519, 8348, 18579, 540, 6757, 6464, 2968, 513, 1582, 1606, 6326, 14404, 720, 332, 281, 646, 1031, 621, 547, 1788, 606, 3239, 540, 10255, 630, 663, 1010, 2229, 538, 1880, 264, 607, 1373, 513, 2048, 4486, 24114, 24343, 10200, 1717, 267, 713, 3375, 729, 849, 1500, 693, 513, 942, 540, 2489, 2604, 593, 519, 2197, 1813, 547, 519, 3500, 10605, 540, 32486, 2804, 15024, 543, 3051, 520, 3074, 269, 4475, 267, 519, 1482, 2804, 32252, 3512, 602, 10255, 1336, 3294, 538, 693, 519, 942, 17515, 1022, 15407, 519, 2229, 1522, 723, 1185, 547, 2061, 519, 5106, 689, 9648, 269, 1306, 971, 267, 519, 9552, 540, 16850, 779, 3114, 9604, 1055, 540, 5259, 24528, 8612, 519, 2229, 779, 3448, 8467, 267, 711, 4222, 563, 9743, 6627, 1488, 5766, 766, 543, 519, 4329, 7971, 545, 1436, 540, 519, 17136, 454, 19950, 5944, 2614, 267, 2705, 267, 1256, 1498, 519, 27333, 3811, 17189, 29230, 3974, 5106, 1185, 1044, 16618, 676, 2923, 676, 5437, 476, 1001, 275, 267, 14579, 10579, 10469, 714, 601, 657, 4682, 856, 540, 1010, 1259, 547, 3142, 621, 909, 1586, 538, 606, 1566, 24737, 585, 519, 605, 3766, 17922, 22186, 25534, 7236, 630, 10517, 21242, 593, 519, 14579, 16457, 12080, 3896, 1934, 1916, 1103, 519, 476, 273, 5437, 4062, 267, 519, 4922, 16339, 2213, 2184, 4618, 533, 2632, 881, 919, 593, 2048, 20139, 13618, 593, 4914, 3609, 685, 543, 519, 2495, 540, 2048, 25152, 32742, 16224, 512, 659, 527, 569, 3954, 580, 7992, 20219, 6020, 313, 288, 630, 663, 519, 1082, 8723, 4961, 945, 3838, 741, 2825, 4145, 538, 519, 29230, 3974, 2339, 1040, 2991, 19696, 1806, 540, 1018, 646, 15109, 2665, 540, 2318, 3084, 13618, 538, 2962, 267, 10469, 714, 601, 657, 23403, 519, 3114, 9604, 4145, 607, 513, 17804, 835, 912, 2108, 2507, 1492, 22672, 1652, 1857, 7521, 5645, 856, 513, 1906, 3275, 3516, 3823, 519, 9277, 2825, 10898, 538, 519, 11335, 689, 519, 5106, 585, 519, 9552, 540, 16850, 779, 3114, 9604, 19070, 531, 267, 896, 519, 1852, 540, 519, 6167, 3294, 543, 519, 25944, 585, 519, 1160, 22128, 540, 11906, 1284, 777, 976, 1107, 606, 5106, 602, 729, 12913, 538, 2347, 3106, 1107, 568, 513, 9258, 1383, 3034, 763, 2698, 7873, 525, 322, 3290, 10423, 538, 713, 3948, 6920, 1586, 1946, 865, 1082, 16380, 723, 1185, 2614, 540, 741, 1699, 3401, 543, 741, 14820, 540, 796, 23896, 539, 27166, 936, 741, 4961, 269, 898, 1058, 581, 15422, 602, 1247, 1082, 1004, 945, 1486, 6479, 610, 6829, 4145, 827, 519, 3114, 9604, 1544, 941, 711, 2818, 540, 20219, 6020, 313, 288, 267, 519, 5428, 568, 1305, 547, 3094, 1082, 811, 16018, 982, 6382, 1522, 581, 519, 2013, 267, 543, 2523, 538, 11511, 974, 543, 519, 19994, 641, 517, 333, 3150, 267, 4481, 1317, 540, 519, 2229, 779, 17418, 267, 610, 771, 15517, 267, 547, 1174, 602, 713, 729, 606, 3390, 602, 12592, 1256, 3284, 11823, 16380, 547, 957, 563, 2304, 2048, 4263, 4380, 1877, 540, 5940, 6412, 20371, 763, 1034, 7839, 1857, 4145, 936, 519, 6341, 31730, 2229, 779, 1544, 941, 5433, 538, 519, 1858, 14191, 547, 519, 9552, 281, 11511, 974, 269, 901, 1804, 543, 4830, 16490, 6532, 814, 13840, 2141, 7152, 513, 5134, 6412, 540, 6392, 267, 2436, 621, 729, 519, 10469, 564, 2103, 267, 12228, 30689, 610, 2221, 779, 2229, 538, 18603, 269, 634, 3114, 9604, 26035, 1152, 22755, 519, 6532, 811, 2509, 519, 11685, 269, 1809, 2825, 4145, 941, 5433, 11992, 538, 10255, 607, 1134, 267, 543, 5280, 1106, 3486, 24816, 609, 2950, 4687, 741, 4145, 267, 3226, 538, 7013, 7977, 269, 11569, 267, 519, 7969, 630, 531, 784, 609, 519, 5053, 264, 2451, 814, 1831, 835, 540, 20219, 6020, 313, 288, 779, 1883, 16167, 267, 543, 538, 476, 1001, 275, 519, 3114, 9604, 3390, 729, 835, 540, 1346, 602, 1185, 606, 1198, 593, 2810, 741, 8994, 9316, 563, 22958, 3320, 267, 607, 2959, 5815, 267, 513, 1804, 851, 540, 519, 3441, 519, 5259, 2229, 13455, 729, 11032, 947, 3320, 1582, 19899, 21719, 269, 634, 1966, 729, 519, 9228, 9000, 540, 29355, 9111, 268, 1945, 2417, 8476, 676, 10469, 714, 601, 657, 685, 4214, 540, 1857, 7521, 607, 2048, 516, 1188, 1652, 19028, 29012, 267, 835, 9972, 20219, 6020, 313, 288, 4914, 3609, 25129, 5143, 26811, 534, 4519, 2593, 5063, 602, 968, 1492, 2199, 2146, 729, 711, 31570, 610, 5483, 827, 519, 3114, 9604, 3375, 268, 789, 941, 7357, 12790, 538, 519, 1184, 269, 901, 2882, 711, 1152, 519, 2199, 2797, 3401, 267, 855, 849, 2834, 4961, 267, 29940, 4171, 24454, 4096, 593, 519, 4262, 267, 1004, 538, 519, 9235, 1870, 267, 2825, 1235, 543, 1866, 269, 901, 3668, 540, 15360, 2813, 606, 5790, 540, 1253, 6412, 540, 519, 6341, 31730, 2229, 3034, 763, 20219, 6020, 313, 288, 25129, 2417, 6353, 519, 29230, 3974, 28093, 5766, 331, 1470, 607, 513, 2048, 339, 716, 673, 14710, 685, 855, 835, 609, 2318, 2360, 585, 5428, 2534, 267, 2523, 538, 11511, 974, 269, 968, 4407, 519, 1857, 779, 11685, 1705, 711, 1291, 547, 513, 1689, 538, 519, 2229, 779, 3609, 2223, 7074, 519, 25129, 267, 968, 527, 1705, 2333, 519, 4540, 7839, 1857, 1253, 6412, 540, 519, 6341, 31730, 2229, 267, 543, 519, 7287, 585, 513, 1114, 2186, 540, 5718, 3034, 306, 312, 6020, 313, 288, 814, 2322, 606, 8561, 593, 2199, 17933, 543, 15387, 606, 3239, 540, 6947, 547, 2199, 2551, 779, 2115, 267, 1945, 602, 519, 620, 334, 1993, 1651, 3518, 550, 2229, 568, 1419, 22309, 585, 711, 3257, 269, 634, 1249, 602, 519, 3114, 9604, 3390, 1185, 971, 513, 2178, 2199, 1445, 1500, 621, 835, 602, 729, 4998, 585, 2797, 2054, 1235, 547, 946, 267, 547, 11168, 519, 3604, 538, 1935, 1063, 519, 15194, 543, 11685, 6105, 563, 8002, 643, 1235, 19793, 557, 513, 12763, 540, 11773, 267, 6736, 513, 19768, 540, 9012, 22452, 454, 2026, 519, 1739, 5892, 10002, 21242, 1592, 540, 1857, 2238, 4478, 519, 3114, 9604, 3390, 8761, 267, 972, 729, 513, 11931, 543, 13455, 6908, 540, 2621, 602, 1185, 606, 1198, 593, 4657, 8369, 267, 689, 11511, 974, 547, 29761, 547, 7977, 269, 1717, 267, 519, 1267, 1223, 723, 1044, 1454, 3152, 267, 15628, 3494, 267, 1185, 519, 13416, 2923, 4988, 519, 3390, 811, 12517, 269, 634, 27421, 602, 519, 2229, 998, 519, 1101, 3368, 540, 476, 1001, 275, 6766, 2923, 547, 1524, 2452, 519, 12178, 540, 519, 5106, 267, 610, 711, 547, 1867, 593, 621, 15587, 267, 729, 7839, 269, 2290, 7006, 2255, 689, 31350, 534, 15628, 538, 5147, 267, 1500, 2139, 547, 26811, 534, 4519, 2593, 267, 8612, 1018, 789, 5433, 713, 5921, 585, 519, 3084, 4656, 540, 519, 3390, 912, 2108, 10144, 538, 11511, 974, 2219, 602, 519, 5259, 2527, 2923, 1131, 581, 6213, 547, 971, 513, 3978, 3390, 543, 2285, 32398, 547, 621, 267, 855, 519, 2527, 2923, 1705, 711, 269, 769, 1082, 4025, 538, 10255, 267, 1004, 798, 711, 917, 827, 519, 29230, 3974, 538, 519, 11335, 7256, 267, 1256, 1498, 621, 5540, 873, 1932, 269, 634, 3377, 4080, 593, 7641, 1281, 711, 3382, 519, 19771, 538, 11511, 974, 269, 1306, 513, 1267, 267, 1004, 538, 824, 4025, 538, 10255, 723, 1100, 2856, 827, 519, 3390, 3034, 8002, 643, 1235, 693, 519, 942, 7150, 602, 519, 5259, 2229, 1185, 23900, 855, 3196, 2685, 24016, 519, 2923, 547, 711, 1867, 593, 519, 3390, 269, 1635, 5147, 476, 1001, 275, 267, 519, 3510, 1185, 1831, 535, 2117, 673, 281, 17137 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1419, 5340, 538, 519, 5604, 4259, 610, 607, 606, 30229, 563, 305, 580, 573, 28144, 22000, 568, 5645, 856, 896, 2489, 23236, 269, 901, 568, 1419, 5340, 538, 519, 6413, 610, 607, 606, 538, 18345, 563, 290, 22438, 22000, 609, 513, 23707, 568, 513, 5634, 5650, 269, 898, 3123, 1152, 5634, 9636, 563, 1692, 28144, 22000, 609, 23707, 568, 5340, 888, 763, 4387, 3096, 513, 6094, 267, 8465, 8546, 1572, 513, 28144, 24005, 454, 269, 634, 28144, 24005, 814, 23726, 11103, 3330, 621, 267, 543, 513, 1769, 543, 2363, 788, 19991, 693, 835, 1439, 269, 634, 4387, 666, 1294, 1524, 519, 28144, 24005, 547, 1413, 693, 519, 5961, 269, 1452, 949, 849, 581, 3254, 593, 513, 7641, 6895, 563, 7312, 4387, 849, 10596, 1507, 7405, 1524, 519, 28144, 24005, 547, 1491, 5439, 540, 5160, 630, 6798, 3591, 625, 264, 689, 519, 16298, 540, 707, 15485, 563, 2791, 2356, 723, 713, 1449, 896, 513, 2489, 606, 20469, 563, 1432, 4523, 1310, 28144, 22000, 609, 23707, 888, 2791, 979, 547, 519, 6413, 585, 713, 1449, 267, 2356, 593, 519, 1554, 269, 1411, 616, 4280, 711, 3548, 610, 4235, 4376, 585, 693, 2547, 476, 277, 3108, 1354, 519, 28144, 22000, 609, 23707, 563, 2791, 1522, 991, 513, 1973, 1449, 543, 513, 9221, 1535, 11920, 454, 29592, 519, 28144, 22000, 269, 901, 568, 3339, 585, 4896, 2348, 513, 2489, 606, 20469, 563, 1103, 930, 10506, 267, 596, 949, 723, 513, 11983, 606, 20469, 3079, 540, 513, 2489, 606, 20469, 269, 901, 568, 606, 13297, 883, 707, 12636, 630, 788, 573, 1116, 264, 865, 596, 666, 1406, 1745, 4376, 2630, 707, 22765, 269, 1411, 949, 849, 723, 930, 11216, 1354, 519, 1449, 563, 7312, 4387, 949, 2322, 513, 20004, 883, 707, 15485, 606, 5662, 1354, 707, 28144, 22000, 609, 23707, 269, 634, 20004, 568, 6213, 547, 1769, 269, 4438, 519, 28144, 22000, 267, 789, 19542, 513, 4544, 1769, 593, 519, 15485, 16298, 269, 901, 568, 1572, 2584, 17871, 5868, 269, 898, 666, 948, 547, 1397, 909, 1022, 2127, 540, 2860, 811, 5693, 563, 1692, 1449, 568, 5340, 888, 7312, 11285, 8499, 12116, 519, 3330, 540, 707, 15485, 543, 23443, 628, 571, 1210, 519, 28144, 24005, 1247, 596, 2461, 896, 606, 20469, 269, 1358, 1491, 5439, 540, 5160, 630, 6798, 3591, 625, 264, 689, 1022, 2127, 602, 1413, 9402, 269, 1358, 849, 1491, 1979, 3591, 625, 689, 2127, 602, 1413, 3339, 267, 547, 5635, 873, 609, 269, 901, 2337, 547, 1118, 2386, 540, 519, 5868, 563, 763, 25541, 2127, 616, 1287, 20177, 609, 513, 3905, 16785, 630, 322, 2246, 518, 1242, 264, 547, 948, 3247, 1022, 11702, 563, 1432, 4523, 1310, 519, 1449, 888, 2791, 666, 2356, 979, 1753, 519, 1482, 1554, 269, 901, 5673, 593, 912, 1892, 6892, 875, 1082, 1979, 3591, 625, 941, 3144, 454, 1892, 6892, 875, 596, 2746, 547, 519, 606, 20469, 454, 1892, 6892, 519, 942, 540, 1554, 596, 723, 519, 606, 20469, 1107, 952, 621, 779, 1360, 3735, 538, 519, 1554, 267, 621, 949, 581, 1732, 547, 3251, 16074, 454, 1432, 616, 519, 2417, 4255, 602, 616, 5340, 1310, 28144, 22000, 609, 23707, 888, 15919, 267, 950, 519, 7189, 4983, 519, 1979, 3591, 625, 267, 789, 798, 711, 1331, 5160, 689, 519, 4887, 3774, 269, 1403, 713, 4523, 267, 519, 4387, 786, 2307, 596, 547, 723, 1776, 28144, 22000, 609, 23707, 267, 547, 1491, 5439, 689, 519, 4887, 3774, 269, 1411, 1058, 723, 713, 2944, 1369, 476, 277, 4374, 540, 707, 1101, 5106, 563, 12663, 1022, 9636, 786, 581, 5433, 1282, 28144, 22000, 609, 23707, 888, 2791, 949, 1745, 5634, 1928, 538, 707, 23443, 628, 571, 593, 8429, 10729, 269, 1411, 949, 849, 1294, 15244, 540, 1973, 538, 519, 10729, 269, 1452, 2589, 1058, 711, 2063, 3476, 982, 476, 2190, 3108, 269, 25530, 811, 1216, 2337, 513, 2603, 269, 12769, 31531, 267, 3968, 630, 21406, 28144, 4345, 264, 949, 2049, 543, 2285, 596, 811, 1928, 267, 4908, 267, 543, 23473, 982, 4397, 269, 674, 1197, 949, 849, 2049, 267, 10355, 269, 9701, 596, 14353, 602, 3968, 568, 1459, 267, 3346, 707, 4387, 269, 1261, 786, 991, 547, 21559, 11216, 547, 10826, 713, 563, 1432, 568, 3238, 538, 519, 5650, 540, 28144, 22000, 609, 23707, 888, 2026, 596, 616, 25805, 2429, 519, 5650, 267, 707, 4387, 949, 2285, 596, 513, 4881, 16555, 1247, 646, 4991, 596, 5423, 269, 634, 19058, 1858, 568, 19345, 609, 513, 7646, 1884, 1047, 10364, 543, 519, 1858, 4988, 609, 513, 25062, 630, 8882, 1068, 850, 264, 6656, 269, 3973, 513, 2199, 606, 20469, 15074, 568, 2322, 883, 519, 23443, 628, 571, 563, 763, 15074, 2501, 538, 513, 8546, 543, 568, 17065, 7458, 883, 519, 23443, 628, 571, 269, 1703, 949, 581, 13581, 588, 15781, 607, 621, 6238, 547, 960, 269, 1879, 519, 6293, 10301, 519, 838, 327, 3307, 518, 3330, 519, 23443, 628, 571, 267, 596, 786, 581, 4280, 547, 798, 519, 2962, 540, 20704, 532, 610, 513, 11522, 267, 547, 6001, 519, 838, 327, 3307, 518, 454, 269, 1703, 949, 581, 513, 5618, 4090, 540, 9636, 607, 519, 16263, 10596, 998, 563, 2691, 707, 4387, 12116, 519, 15485, 267, 646, 25361, 707, 15485, 609, 29649, 543, 596, 949, 1745, 602, 596, 1616, 547, 1780, 10729, 269, 1635, 519, 1439, 540, 519, 5650, 799, 1152, 3217, 513, 1906, 3764, 267, 596, 949, 1745, 519, 2407, 1145, 543, 991, 547, 1780, 1216, 1586, 563, 1432, 616, 519, 4220, 540, 28144, 22000, 609, 23707, 888, 7197, 1004, 798, 711, 723, 2042, 1310, 2348, 513, 28144, 22000, 855, 607, 609, 1022, 2564, 5650, 267, 972, 616, 2009, 4220, 269, 1411, 1522, 723, 7646, 8781, 610, 588, 15781, 950, 596, 1780, 10729, 269, 898, 949, 849, 1413, 5594, 1973, 560, 7134, 585, 513, 1554, 610, 1079, 269, 25530, 7899, 1058, 948, 609, 713, 563, 2791, 1058, 3346, 519, 6413, 952, 596, 616, 1869, 11702, 476, 4366, 3108, 1310, 707, 1449, 267, 519, 11702, 568, 3478, 8338, 610, 972, 616, 1973, 28163, 538, 707, 10729, 563, 2467, 568, 513, 1507, 1981, 540, 3968, 269, 12580, 666, 1331, 912, 268, 476, 1109, 4707, 547, 519, 16003, 811, 1419, 454, 268, 476, 1109, 321, 9506, 543, 588, 15781, 950, 8429, 10729, 454, 268, 476, 1109, 10623, 9934, 3905, 543, 4411, 610, 695, 6116, 454, 268, 476, 1109, 743, 3716, 344, 610, 18086, 1159, 2454, 10729, 454, 290, 22438, 22000, 609, 23707, 786, 5934, 1942, 547, 12652, 269, 476, 3374, 267, 1822, 547, 5021, 12652, 269, 476, 3583, 267, 1822, 563, 268, 476, 1109, 10090, 958, 4743, 796, 6202, 0, 10144, 609, 13119, 949, 24214, 8338, 982, 1346, 609, 3339, 1973, 2604, 952, 789, 4309, 513, 19576, 685, 2068, 5868, 267, 2687, 547, 519, 2164, 540, 513, 1007, 1353, 563, 10527, 2164, 2303, 602, 19993, 2359, 540, 1164, 1973, 2604, 666, 849, 2087, 19576, 779, 2068, 2589, 2223, 1353, 4589, 1767, 563, 288, 1895, 540, 7969, 543, 3703, 3173, 1031, 1239, 689, 519, 19576, 779, 4273, 1833, 4460, 619, 19541, 6538, 23032, 676, 519, 7812, 808, 269, 16737, 7690, 585, 19576, 779, 3194, 547, 1413, 585, 513, 3017, 538, 519, 12508, 538, 2038, 267, 15860, 19576, 779, 2068, 269, 2368, 540, 891, 12508, 3769, 5179, 543, 1875, 332, 19318, 2589, 267, 11719, 545, 6724, 543, 17585, 3133, 21544, 4567, 563, 17606, 2968, 2312, 602, 2550, 609, 13119, 8858, 5179, 2589, 540, 513, 3152, 10335, 267, 971, 607, 16757, 6551, 7190, 610, 513, 23646, 540, 17319, 5179, 3252, 267, 607, 1134, 607, 513, 4389, 4390, 538, 519, 4299, 21828, 14228, 20377, 2223, 1767, 5484, 328, 3133, 334, 16902, 867, 8457, 267, 631, 6185, 1421, 9683, 11001, 693, 3751, 779, 5441, 5507, 543, 513, 4791, 1382, 12314, 693, 519, 11671, 19592, 523, 3130, 24919, 6828, 269, 1261, 4843, 519, 2164, 540, 519, 1353, 693, 519, 2487, 12059, 6837, 540, 519, 3864, 9142, 540, 27096, 344, 538, 24545, 563, 12867, 11760, 602, 519, 1239, 1152, 941, 16861, 267, 865, 811, 1382, 1131, 991, 547, 581, 2944, 547, 3313, 519, 2407, 2078, 1063, 519, 1079, 3676, 269, 589, 3095, 1063, 519, 1079, 3676, 814, 1044, 6594, 5892, 267, 2705, 269, 589, 476, 1220, 279, 2160, 540, 30239, 630, 18933, 15909, 264, 1353, 1336, 602, 930, 13119, 6527, 4389, 519, 1981, 540, 19576, 779, 2068, 269, 0, 2026, 11688, 3446, 1603, 7005, 3860, 3211, 585, 476, 276, 1565, 519, 2956, 540, 519, 14427, 6186, 712, 344, 799, 568, 9247, 513, 12042, 8896, 547, 1967, 538, 1153, 5396, 2250, 267, 1459, 543, 2104, 267, 5383, 540, 3818, 910, 5418, 910, 1788, 269, 2659, 2816, 568, 1169, 8792, 540, 1169, 1480, 1373, 568, 18106, 1510, 606, 2144, 11047, 639, 266, 9886, 851, 536, 4390, 2679, 538, 1931, 547, 3035, 1808, 4928, 3853, 269, 24356, 4928, 5717, 1759, 593, 16198, 1063, 3681, 269, 9442, 689, 519, 1611, 269, 7335, 267, 12103, 1039, 2581, 910, 530, 525, 2917, 269, 2755, 713, 9356, 513, 3395, 1560, 540, 1702, 1543, 3001, 689, 2250, 2833, 543, 2093, 547, 2093, 6700, 547, 1404, 1565, 2238, 1491, 1747, 6140, 538, 519, 8076, 2853, 540, 18149, 940, 5553, 910, 2025, 13653, 267, 795, 846, 7542, 516, 4275, 267, 6045, 547, 803, 267, 2192, 1224, 547, 707, 1126, 269, 769, 1007, 1259, 540, 1565, 269, 4841, 941, 14477, 8655, 547, 519, 1158, 269, 16515, 819, 568, 7396, 9904, 1227, 676, 2278, 269, 3204, 8973, 4008, 910, 14920, 29077, 269, 4658, 540, 1101, 1032, 32204, 524, 545, 3266, 1000, 27097, 3446, 4374, 2596, 6323, 513, 1582, 910, 6514, 666, 267, 609, 519, 25358, 3889, 540, 6960, 543, 782, 534, 2458, 1231, 5189, 513, 3791, 2520, 528, 2471, 546, 656, 517, 267, 519, 8789, 7574, 2853, 269, 634, 3450, 2511, 538, 519, 1106, 540, 9886, 3156, 543, 6054, 267, 562, 4912, 269, 674, 7967, 577, 1157, 267, 575, 269, 590, 269, 2506, 753, 267, 536, 269, 808, 269, 2480, 3530, 13783, 1950, 1565, 5054, 267, 649, 8044, 602, 891, 12331, 6457, 1302, 543, 9921, 607, 513, 30973, 31369, 5048, 547, 824, 1374, 10148, 666, 581, 1031, 855, 10355, 5941, 538, 519, 1788, 543, 910, 3544, 519, 7262, 8106, 2245, 267, 3446, 3211, 1603, 7005, 3860, 585, 476, 276, 543, 621, 6437, 1646, 269, 9122, 593, 5030, 543, 13865, 1242, 543, 1419, 22851, 538, 11180, 7239, 6560, 547, 11677, 519, 835, 1688, 543, 2199, 6237, 1377, 568, 5111, 835, 1296, 20478, 563, 12663, 7060, 540, 519, 10688, 540, 1053, 267, 27466, 525, 267, 29095, 267, 1762, 1004, 543, 9268, 19250, 269, 634, 3255, 585, 6690, 547, 1831, 3238, 610, 547, 12638, 679, 11792, 572, 741, 8284, 1053, 543, 5234, 282, 7041, 540, 2575, 1299, 12416, 23463, 6032, 269, 1715, 543, 11160, 910, 544, 5034, 7160, 269, 634, 2796, 4082, 552, 267, 1287, 15824, 519, 12588, 538, 1950, 2081, 267, 3056, 547, 519, 6935, 5271, 6327, 540, 693, 332, 6327, 540, 693, 15879, 663, 610, 7099, 269, 2353, 1919, 616, 711, 8789, 538, 2069, 585, 1762, 24413, 546, 1196, 267, 713, 568, 5812, 609, 519, 3617, 1747, 547, 1747, 2164, 689, 606, 8301, 10916, 269, 8249, 585, 17404, 543, 17048, 9607, 267, 15146, 2338, 267, 543, 824, 2069, 7426, 547, 1491, 5413, 540, 1007, 2148, 9313, 267, 538, 795, 269, 700, 1511, 32308, 269, 8729, 547, 621, 267, 676, 15962, 938, 2663, 267, 538, 1022, 13567, 269, 7305, 269, 1548, 568, 2257, 1702, 269, 1715, 26294, 4342, 8822, 269, 5071, 18638, 27380, 568, 835, 2460, 540, 4480, 1373, 2919, 676, 519, 4116, 267, 2094, 596, 723, 547, 4019, 1053, 1590, 9305, 547, 782, 4093, 543, 17016, 563, 2467, 568, 849, 4483, 762, 476, 276, 3446, 1603, 7005, 3860, 3211, 585, 547, 1022, 6484, 1982, 7488, 540, 741, 6388, 3322, 7856, 6791, 267, 1818, 873, 2936, 930, 540, 621, 4648, 269, 21452, 267, 5473, 1004, 538, 513, 3099, 540, 1007, 3450, 267, 1382, 610, 2165, 4574, 269, 2859, 5688, 12264, 267, 6437, 2497, 607, 1134, 8036, 3610, 267, 4824, 3450, 814, 3366, 547, 519, 6531, 269, 901, 1935, 3340, 519, 4527, 540, 24193, 543, 10694, 2694, 540, 519, 3872, 6565, 607, 851, 540, 2359, 12417, 28868, 267, 13539, 267, 4247, 543, 2262, 3756, 269, 23675, 1299, 2069, 269, 18409, 518, 267, 546, 269, 808, 269, 8535, 6927, 606, 1168, 6138, 540, 2069, 538, 519, 3781, 6607, 5544, 1562, 3391, 267, 543, 8300, 519, 3610, 3646, 269, 589, 13186, 693, 1183, 25279, 6280, 269, 645, 529, 13195, 267, 575, 269, 8614, 784, 267, 554, 269, 20943, 928, 11119, 267, 795, 269, 590, 592, 1356 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 519, 1964, 540, 519, 2609, 616, 21325, 568, 1572, 513, 22185, 5119, 269, 476, 279, 269, 589, 4009, 5119, 538, 799, 1142, 3693, 540, 519, 9030, 15497, 568, 1412, 272, 262, 543, 519, 824, 2609, 616, 4642, 568, 1572, 606, 3961, 5119, 610, 1770, 5119, 267, 543, 568, 20922, 676, 1412, 296, 8339, 1323, 3961, 5119, 568, 513, 22185, 5119, 849, 269, 476, 280, 269, 1403, 589, 568, 513, 5119, 267, 519, 5119, 5833, 676, 954, 577, 4474, 519, 9343, 543, 9587, 540, 589, 568, 1572, 922, 1098, 2821, 543, 568, 20922, 676, 11083, 269, 476, 1015, 269, 5565, 14290, 589, 543, 645, 616, 1767, 547, 581, 3160, 952, 543, 1152, 952, 789, 616, 540, 519, 1482, 1931, 543, 741, 7222, 5011, 616, 3160, 269, 476, 1556, 269, 634, 4642, 5119, 568, 519, 3961, 3693, 538, 5119, 1840, 269, 1775, 4318, 1421, 589, 1341, 744, 815, 744, 1341, 589, 815, 589, 269, 476, 1321, 269, 19336, 1840, 568, 862, 32477, 269, 1775, 4318, 1421, 589, 1341, 645, 815, 645, 1341, 589, 269, 476, 1724, 269, 19336, 1840, 568, 1997, 894, 269, 1775, 4318, 1421, 630, 288, 266, 289, 11924, 290, 815, 589, 23444, 289, 266, 290, 1040, 476, 1691, 269, 476, 1428, 269, 589, 5174, 568, 3989, 607, 589, 266, 8987, 289, 1040, 476, 1626, 269, 1403, 918, 267, 561, 616, 1483, 1297, 1287, 267, 918, 10490, 266, 289, 264, 815, 918, 288, 1341, 22995, 282, 630, 298, 266, 331, 264, 288, 815, 918, 288, 1341, 561, 288, 269, 476, 1704, 269, 1403, 589, 543, 645, 616, 1079, 14290, 267, 1287, 741, 1587, 9474, 568, 3989, 1152, 950, 519, 1297, 540, 9587, 538, 589, 568, 3160, 547, 519, 1297, 540, 9343, 538, 645, 269, 3973, 589, 543, 645, 616, 1767, 547, 581, 14883, 762, 585, 8691, 269, 476, 1240, 269, 769, 2489, 519, 8691, 540, 14290, 711, 862, 32477, 269, 476, 866, 269, 476, 736, 269, 18527, 540, 14290, 568, 1997, 894, 269, 1775, 4318, 1421, 630, 5723, 264, 290, 815, 589, 263, 6195, 1040, 476, 2641, 269, 1403, 594, 568, 519, 1770, 5119, 1287, 3642, 815, 29722, 815, 589, 267, 594, 568, 519, 5860, 3693, 538, 5119, 8691, 269, 476, 2420, 269, 1403, 9474, 815, 476, 271, 267, 1287, 621, 568, 711, 2556, 602, 693, 548, 770, 589, 610, 645, 568, 513, 4642, 5119, 269, 476, 2537, 269, 513, 16360, 266, 290, 264, 815, 9474, 1341, 22601, 543, 630, 289, 266, 290, 264, 288, 815, 22601, 1341, 11404, 267, 2733, 5737, 1876, 269, 476, 2190, 269, 1403, 519, 1098, 2821, 540, 513, 2016, 5119, 568, 3160, 547, 922, 19605, 11201, 267, 1287, 519, 5119, 568, 1572, 7729, 342, 21136, 5119, 269, 476, 1839, 269, 634, 24572, 540, 589, 568, 20922, 676, 1923, 288, 347, 610, 5489, 589, 269, 476, 2918, 269, 1403, 519, 24572, 540, 5119, 568, 4642, 621, 568, 1572, 513, 13737, 5119, 269, 476, 2767, 269, 1403, 519, 24572, 540, 5119, 568, 711, 4642, 621, 568, 1572, 513, 1875, 1606, 532, 983, 5119, 269, 476, 2764, 269, 1403, 589, 568, 513, 1875, 1606, 532, 983, 5119, 543, 645, 568, 1776, 5119, 971, 602, 2806, 815, 22601, 815, 594, 267, 1287, 645, 568, 1572, 519, 11201, 540, 589, 543, 568, 20922, 676, 589, 268, 347, 269, 1403, 9474, 815, 22601, 815, 594, 267, 1287, 645, 815, 589, 268, 347, 269, 1403, 589, 268, 347, 267, 1287, 645, 268, 347, 269, 476, 3066, 269, 476, 1789, 269, 630, 5723, 9984, 347, 815, 645, 268, 347, 288, 268, 347, 269, 476, 4029, 269, 1403, 589, 267, 2473, 543, 645, 616, 14290, 971, 602, 589, 311, 815, 645, 267, 1287, 2473, 815, 589, 268, 347, 289, 269, 19648, 281, 7994, 519, 2953, 2626, 563, 1627, 476, 272, 281, 634, 5119, 11083, 7474, 568, 5833, 676, 954, 577, 4474, 519, 9343, 543, 9587, 540, 513, 2016, 5119, 589, 568, 1572, 21718, 5119, 8542, 821, 540, 519, 3553, 4920, 5099, 2096, 13240, 514, 2091, 1627, 476, 273, 281, 1403, 513, 5119, 568, 3160, 547, 922, 1098, 2821, 267, 1775, 4318, 1421, 589, 815, 11083, 621, 568, 1572, 513, 21718, 5119, 4732, 651, 342, 1623, 5471, 2774, 4920, 5099, 2096, 13240, 514, 2091, 1627, 476, 274, 281, 589, 5119, 538, 799, 1142, 3693, 568, 4642, 568, 1572, 12223, 13090, 269, 18485, 333, 1638, 5119, 14706, 5119, 1627, 476, 275, 281, 5565, 14290, 589, 543, 645, 616, 1767, 547, 581, 3160, 621, 543, 1152, 952, 789, 616, 540, 21718, 1931, 6155, 27075, 338, 877, 1627, 476, 276, 281, 1403, 513, 4009, 5119, 782, 2609, 540, 519, 9030, 15497, 616, 3160, 543, 782, 824, 2609, 616, 4642, 267, 971, 5119, 568, 1572, 12223, 13090, 269, 338, 651, 342, 21136, 2675, 531, 1513, 2096, 13240, 1627, 476, 277, 281, 1280, 519, 1062, 540, 4834, 589, 311, 815, 645, 267, 2473, 568, 1572, 519, 12223, 13090, 5119, 269, 6247, 656, 19702, 762, 1723, 324, 2310, 7726, 476, 278, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 279, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 2439, 2971, 4427, 2675, 3628, 547, 737, 342, 714, 25892, 4804, 3590, 3091, 519, 1739, 2640, 1384, 1892, 1133, 6135, 24071, 1569, 547, 3446, 3617, 4245, 267, 17118, 267, 1299, 7792, 3211, 454, 1892, 2382, 656, 18176, 540, 2228, 17118, 454, 1892, 18776, 9477, 543, 8366, 22783, 547, 1832, 707, 2875, 12592, 454, 1892, 1133, 15905, 2259, 609, 10081, 24378, 1412, 310, 22003, 13878, 295, 262, 17118, 454, 1892, 4132, 7888, 3896, 609, 1100, 22099, 454, 1892, 14893, 540, 4569, 267, 2296, 267, 3163, 267, 1299, 4317, 5525, 4354, 878, 592, 4548, 454, 1892, 20056, 550, 1871, 585, 918, 268, 1321, 543, 20554, 267, 20389, 267, 1299, 9215, 9128, 299, 4530, 19369, 454, 1892, 5192, 10958, 3091, 676, 11488, 606, 4757, 547, 28774, 287, 29220, 714, 6339, 2593, 692, 13658, 7033, 518, 0, 258, 1215, 1082, 10659, 689, 476, 16348, 330, 9893, 19474, 11090, 2496, 13971, 476, 274, 267, 476, 1708, 273, 692, 1103, 6128, 267, 513, 4999, 568, 513, 5542, 540, 3688, 689, 513, 1305, 267, 1510, 2543, 547, 519, 1931, 538, 799, 789, 616, 5697, 269, 1280, 1383, 267, 2016, 513, 1305, 540, 1614, 5613, 267, 2161, 606, 11945, 267, 513, 19337, 543, 513, 18812, 267, 972, 616, 1614, 10659, 540, 1079, 602, 666, 581, 6537, 689, 713, 1305, 281, 606, 11945, 543, 513, 19337, 282, 606, 11945, 543, 513, 18812, 282, 610, 513, 19337, 543, 513, 18812, 780, 288, 4999, 540, 476, 16348, 330, 3688, 1131, 581, 782, 2009, 2081, 540, 8939, 737, 3688, 689, 513, 1305, 540, 476, 16348, 330, 3688, 267, 1510, 2543, 547, 1931, 269, 1703, 616, 630, 16348, 330, 3442, 737, 264, 971, 10659, 780, 2690, 1383, 267, 952, 737, 284, 275, 267, 1287, 972, 616, 630, 16348, 330, 3442, 476, 275, 264, 815, 630, 16348, 3442, 476, 275, 264, 815, 476, 275, 267, 6021, 277, 971, 10659, 780, 763, 1297, 540, 2009, 10659, 689, 513, 9893, 19474, 11090, 609, 476, 16348, 330, 3197, 1131, 581, 630, 16348, 330, 3442, 737, 1070, 1141, 737, 568, 519, 1297, 540, 3197, 538, 519, 11090, 269, 1403, 519, 11090, 814, 476, 275, 3197, 267, 1287, 972, 1131, 581, 630, 16348, 330, 3442, 476, 275, 264, 815, 630, 16348, 3442, 476, 275, 264, 815, 476, 275, 267, 6021, 277, 971, 10659, 780, 1012, 4033, 1644, 2055, 1384, 2162, 1627, 281, 1215, 1082, 814, 1127, 1118, 513, 3625, 2496, 288, 281, 1703, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 519, 1297, 540, 814, 1127, 2838, 547, 1118, 513, 3625, 666, 4268, 4470, 593, 519, 7411, 1377, 1305, 676, 519, 3060, 269, 1717, 267, 513, 2489, 4341, 540, 14853, 568, 602, 621, 3217, 1472, 476, 1015, 3764, 547, 9553, 513, 2582, 3625, 593, 519, 11670, 3060, 780, 2162, 1627, 281, 1215, 1281, 11670, 5599, 960, 590, 11190, 268, 16348, 2496, 288, 281, 590, 11190, 268, 16348, 568, 513, 6939, 4919, 19474, 1599, 602, 568, 1031, 538, 11670, 779, 5599, 1184, 269, 1879, 513, 3625, 540, 8852, 568, 2813, 267, 19379, 946, 590, 11190, 268, 16348, 547, 3132, 513, 2189, 19474, 602, 5713, 607, 513, 6169, 540, 960, 269, 901, 6169, 540, 960, 568, 1031, 547, 13182, 602, 519, 3625, 568, 4570, 543, 814, 711, 1044, 512, 2086, 1229, 609, 780, 2162, 1627, 281, 1215, 19474, 2557, 568, 7229, 2496, 288, 281, 1703, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 621, 5673, 593, 513, 1297, 540, 2188, 267, 1519, 519, 4398, 540, 519, 5599, 8800, 267, 519, 7411, 540, 519, 5599, 5690, 267, 543, 824, 2188, 269, 1717, 267, 972, 616, 930, 2409, 585, 21501, 19474, 2557, 269, 2290, 1455, 1505, 568, 547, 946, 519, 5599, 3301, 547, 5173, 519, 3328, 1297, 540, 814, 1127, 829, 2034, 602, 519, 8800, 568, 5827, 540, 269, 6271, 1505, 568, 547, 946, 513, 5599, 7535, 602, 13475, 519, 19474, 2557, 540, 922, 2818, 780, 2162, 1627, 281, 1215, 1082, 814, 1127, 1281, 621, 1491, 547, 9553, 513, 11670, 3625, 2496, 288, 281, 898, 3217, 5111, 476, 1015, 3764, 547, 9553, 513, 11670, 3625, 269, 0, 258, 7913, 28686, 14409, 6261, 518, 1675, 540, 15053, 4577, 28686, 692, 30206, 538, 1412, 29094, 6435, 262, 3323, 676, 14255, 545, 651, 329, 275, 267, 3057, 476, 277, 267, 476, 1001, 277, 780, 272, 269, 12693, 14255, 545, 651, 329, 275, 27387, 853, 6621, 16588, 692, 19878, 476, 1321, 267, 476, 1001, 276, 454, 1960, 454, 1015, 454, 15916, 782, 2676, 8923, 666, 596, 4217, 803, 609, 1250, 1753, 960, 585, 1449, 7041, 780, 296, 723, 13986, 713, 2243, 780, 342, 272, 284, 476, 271, 269, 273, 7032, 454, 663, 530, 273, 815, 476, 271, 269, 274, 7032, 454, 17951, 983, 4908, 692, 296, 3576, 11270, 11224, 570, 284, 476, 273, 7032, 270, 271, 269, 273, 7032, 815, 476, 1015, 454, 663, 570, 815, 476, 273, 7032, 270, 271, 269, 274, 7032, 815, 476, 736, 270, 274, 692, 3086, 594, 993, 11821, 786, 519, 2698, 1974, 581, 476, 1015, 1341, 476, 736, 815, 476, 1789, 692, 7775, 786, 594, 723, 547, 1491, 519, 14055, 1455, 1655, 14009, 26042, 514, 713, 2013, 621, 786, 581, 476, 1015, 780, 628, 3471, 692, 2958, 1841, 454, 297, 4141, 692, 273, 269, 12693, 6004, 2704, 31692, 1639, 16588, 692, 21801, 476, 1704, 267, 476, 1001, 275, 454, 273, 267, 6321, 278, 454, 276, 2641, 454, 17098, 10484, 763, 1974, 540, 513, 5365, 568, 476, 272, 11721, 267, 1141, 535, 568, 519, 9803, 23191, 269, 1924, 1265, 519, 9803, 23191, 1101, 780, 3080, 1259, 547, 1935, 713, 568, 547, 6460, 713, 883, 521, 1149, 543, 5430, 1149, 1210, 25586, 781, 3347, 267, 610, 1175, 676, 14791, 563, 6524, 1775, 2285, 4376, 3116, 2476, 267, 2119, 602, 780, 274, 269, 12693, 14255, 545, 651, 329, 275, 27387, 853, 6621, 16588, 692, 19878, 476, 1321, 267, 476, 1001, 276, 454, 1960, 454, 1015, 454, 17098, 11184, 6004, 9590, 10484, 296, 1205, 713, 1384, 296, 530, 2632, 5855, 827, 519, 4645, 3252, 609, 1950, 1297, 795, 10484, 2080, 594, 786, 960, 856, 519, 4908, 585, 1142, 674, 284, 476, 271, 269, 276, 7032, 2473, 271, 269, 273, 7032, 815, 476, 272, 270, 1015, 454, 663, 674, 284, 476, 271, 269, 276, 7032, 2473, 476, 271, 269, 274, 7032, 815, 476, 274, 270, 736, 454, 3383, 649, 1491, 519, 717, 7374, 263, 1015, 267, 736, 264, 815, 476, 1015, 454, 3383, 519, 1974, 786, 581, 476, 1015, 888, 3674, 713, 2953, 2496, 2958, 1841, 454, 297, 4141, 692, 17572, 2450, 912, 1428, 269, 273, 22995, 454, 21366, 912, 273, 454, 275, 269, 12693, 6004, 2704, 31692, 1639, 16588, 692, 21801, 476, 1704, 267, 476, 1001, 275, 454, 273, 267, 6321, 278, 454, 276, 2641, 454, 17098, 972, 10484, 11039, 267, 1775, 729, 15691, 596, 1131, 3113, 519, 1599, 543, 1413, 693, 519, 5951, 845, 269, 2334, 786, 2995, 596, 513, 2603, 563, 2710, 596, 723, 513, 1259, 547, 3113, 519, 5951, 596, 3812, 630, 6518, 5654, 1318, 865, 2484, 264, 15017, 2691, 596, 1413, 693, 519, 5951, 267, 1413, 585, 519, 1974, 1063, 1141, 3388, 28197, 3294, 563, 2791, 666, 1287, 4137, 856, 519, 811, 10763, 1259, 540, 3257, 621, 543, 5635, 547, 707, 3113, 563, 763, 3113, 2488, 513, 1412, 23054, 673, 262, 3070, 543, 1522, 581, 2182, 547, 4612, 585, 811, 3665, 1806, 267, 855, 621, 2337, 547, 6166, 602, 596, 723, 519, 1318, 3070, 950, 596, 798, 621 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2387, 7673, 13725, 1109, 1730, 8873, 319, 2387, 335, 272, 269, 16149, 910, 533, 273, 269, 16149, 32547, 2387, 24748, 1109, 31299, 319, 2387, 24748, 1109, 1730, 8873, 319, 2387, 335, 272, 8807, 1009, 910, 533, 273, 8807, 1009, 32547, 2387, 13725, 1109, 31299, 319, 2387, 6892, 1109, 31299, 5148, 319, 5231, 2387, 6892, 1109, 19896, 1677, 1832, 2838, 2626, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 753, 815, 10790, 311, 296, 32547, 5231, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 10922, 562, 282, 1775, 10030, 23375, 2387, 6892, 1109, 1730, 346, 319, 2387, 13725, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1403, 621, 568, 711, 1434, 14584, 319, 2387, 13725, 1109, 1730, 604, 319, 25464, 320, 5157, 316, 2652, 12181, 271, 1730, 23375, 2387, 24748, 1109, 1730, 11666, 826, 1730, 32547, 5231, 2387, 13725, 1109, 19896, 5901, 782, 14622, 711, 10272, 319, 2387, 13725, 1109, 19896, 543, 3845, 607, 10790, 311, 296, 319, 2387, 13725, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 329, 815, 12181, 272, 1730, 282, 795, 10922, 562, 282, 795, 10030, 264, 2387, 2387, 13725, 1109, 1730, 346, 319, 2387, 24748, 1109, 1730, 23251, 14728, 316, 815, 10790, 311, 296, 32547, 2387, 24748, 1109, 1730, 6665, 14728, 316, 815, 12181, 271, 1730, 32547, 2387, 13725, 1109, 31299, 319, 5231, 2387, 13725, 1109, 19896, 20028, 689, 476, 603, 14584, 2387, 2387, 13725, 1109, 19896, 547, 476, 603, 568, 4642, 319, 2387, 13725, 1109, 1730, 23251, 5157, 316, 815, 12181, 271, 1730, 32547, 5231, 2387, 13725, 1109, 19896, 5269, 20313, 8900, 319, 2387, 13725, 1109, 1730, 6112, 319, 25464, 256, 336, 18994, 10387, 27679, 3890, 23375, 2387, 24748, 1109, 1730, 336, 4877, 3326, 3890, 32547, 5231, 2387, 13725, 1109, 19896, 32379, 519, 476, 603, 14584, 319, 2387, 13725, 1109, 1730, 336, 14491, 263, 1730, 2908, 319, 2387, 303, 1515, 263, 1730, 271, 1730, 267, 1775, 4297, 32547, 5231, 2387, 13725, 1109, 19896, 4032, 519, 1434, 14622, 319, 2387, 13725, 1109, 1730, 842, 319, 2387, 16591, 815, 12181, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 6112, 319, 25464, 256, 336, 18994, 10387, 27679, 3890, 23375, 2387, 13725, 1109, 1730, 346, 319, 2387, 24748, 1109, 319, 1109, 2387, 24748, 1109, 19896, 6875, 519, 1283, 3693, 319, 2387, 24748, 1109, 1730, 842, 319, 2387, 341, 815, 7117, 269, 701, 2131, 14061, 16149, 32547, 5231, 2387, 24748, 1109, 19896, 17179, 621, 319, 2387, 24748, 1109, 1730, 336, 4877, 3326, 3890, 32547, 5231, 2387, 24748, 1109, 19896, 1403, 621, 568, 2907, 10272, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 6665, 314, 341, 316, 11203, 12181, 271, 1730, 23375, 2387, 7673, 13725, 1109, 1730, 11666, 826, 1730, 32547, 2387, 24748, 1109, 1730, 6665, 314, 341, 316, 815, 12181, 272, 1730, 32547, 5231, 2387, 24748, 1109, 19896, 4032, 1434, 14622, 319, 2387, 24748, 1109, 1730, 16591, 6834, 513, 314, 341, 22049, 319, 5231, 2387, 24748, 1109, 19896, 1403, 3845, 689, 642, 628, 14584, 319, 2387, 24748, 1109, 19896, 568, 3152, 982, 20735, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 23251, 314, 341, 316, 3436, 20735, 23375, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 5231, 2387, 24748, 1109, 19896, 1403, 1079, 1434, 14622, 616, 1336, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 16591, 2652, 12181, 273, 319, 2387, 261, 261, 513, 314, 341, 316, 11203, 12181, 271, 1730, 264, 2387, 2387, 24748, 1109, 1730, 346, 319, 2387, 7673, 13725, 1109, 1730, 753, 815, 4569, 269, 2381, 263, 753, 267, 1253, 314, 341, 316, 5148, 319, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 2387, 24748, 1109, 31299, 319, 5231, 2387, 24748, 1109, 19896, 3619, 547, 782, 11105, 14622, 319, 2387, 24748, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 329, 815, 12181, 271, 1730, 282, 795, 2999, 1989, 314, 341, 4940, 21653, 3890, 282, 795, 10030, 264, 2387, 2387, 24748, 1109, 1730, 346, 319, 2387, 7673, 13725, 1109, 1730, 842, 319, 2387, 1729, 815, 1989, 314, 341, 4940, 1326, 27203, 1040, 14140, 32547, 2387, 7673, 13725, 1109, 1730, 842, 319, 2387, 7076, 815, 1989, 314, 341, 4940, 1326, 27203, 1040, 16149, 32547, 5231, 2387, 7673, 13725, 1109, 19896, 1403, 3845, 568, 1447, 319, 2387, 7673, 13725, 1109, 1730, 604, 319, 25464, 23251, 314, 341, 316, 1341, 2597, 2999, 1253, 314, 1729, 8079, 2387, 2387, 7673, 13725, 1109, 1730, 346, 319, 2387, 18987, 6892, 1109, 1730, 23251, 314, 1729, 316, 815, 1253, 314, 341, 316, 1341, 2597, 32547, 2387, 18987, 6892, 1109, 1730, 336, 14491, 263, 1730, 2908, 319, 2387, 303, 1515, 5560, 626, 314, 1729, 3910, 547, 4297, 32547, 2387, 7673, 13725, 1109, 31299, 319, 2387, 24748, 1109, 31299, 319, 2387, 13725, 1109, 31299, 319, 2387, 6892, 1109, 31299, 319, 5231, 2387, 6892, 1109, 19896, 17776, 519, 2838, 2626, 319, 2387, 6892, 1109, 1730, 8873, 319, 2387, 753, 32547, 2387, 348, 319, 5231, 2387, 2260, 30905, 3009, 319, 2387, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26514, 26571, 23375, 2387, 346, 319, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 19896, 7089, 540, 14622, 543, 8728, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 12181, 276, 1730, 267, 544, 815, 12181, 276, 1730, 32547, 5231, 2387, 6892, 1109, 1730, 287, 11045, 816, 310, 7568, 902, 1730, 263, 1730, 257, 684, 29051, 257, 1730, 23375, 2387, 6892, 1109, 1730, 26161, 8266, 26514, 1989, 815, 12181, 2908, 319, 2387, 26161, 8266, 314, 301, 22049, 319, 5231, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 328, 815, 12181, 271, 1730, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2387, 2387, 6892, 1109, 1730, 346, 319, 2387, 13725, 1109, 1730, 23950, 5157, 316, 815, 12181, 2908, 319, 2387, 26161, 8266, 3890, 32547, 2387, 6892, 1109, 31299, 319, 5231, 2387, 6892, 1109, 19896, 9577, 1289, 547, 1039, 8728, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 272, 1730, 267, 12181, 273, 1730, 267, 12181, 274, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 272, 1730, 267, 12181, 273, 1730, 267, 12181, 274, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 273, 1730, 267, 12181, 274, 1730, 267, 12181, 275, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 274, 1730, 267, 12181, 275, 1730, 267, 12181, 272, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 275, 1730, 267, 12181, 276, 1730, 267, 12181, 279, 1730, 5148, 319, 5231, 2387, 6892, 1109, 19896, 7089, 540, 1434, 9136, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 330, 815, 12181, 274, 1730, 32547, 5231, 2387, 6892, 1109, 1730, 842, 1730, 26514, 513, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 301, 3910, 2387, 2387, 13725, 1109, 1730, 6665, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 301, 3910, 2387, 2387, 3396, 1741, 1109, 1730, 23251, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 301, 22049, 319, 5231, 2387, 6892, 1109, 19896, 1677, 1832, 1434, 14622, 319, 2387, 6892, 1109, 1730, 320, 314, 1730, 272, 1730, 316, 815, 513, 314, 1730, 274, 1730, 316, 815, 513, 314, 1730, 276, 1730, 316, 815, 12181, 272, 1730, 32547, 5231, 2387, 6892, 1109, 1730, 21902, 269, 719, 31428, 15238, 263, 2381, 291, 2700, 263, 319, 2387, 13725, 1109, 1730, 23950, 267, 562, 267, 1253, 267, 1471, 267, 513, 267, 737, 4297, 32547, 2387, 348, 319, 2387, 348, 319, 5231, 2387, 2260, 901, 3009, 568, 8329, 676, 7254, 329, 2465, 341, 14838, 273, 26384, 1012, 5124, 274, 692, 2387, 258, 5124, 274, 1982, 547, 1265, 519, 20125, 6292, 3772, 319, 2387, 258, 3845, 1063, 1022, 1079, 1114, 1434, 9136, 269, 319, 2387, 5228, 319, 2387, 515, 777, 336, 12181, 5814, 319, 2387, 265, 319, 5231, 2387, 301, 12181, 284, 319, 2387, 1911, 22650, 319, 2387, 7246, 311, 296, 12181, 284, 319, 2387, 15886, 15886, 4200, 1730, 32547, 5231, 2387, 258, 9577, 547, 1039, 8728, 319, 2387, 3698, 319, 2387, 5417, 318, 8354, 14116, 337, 267, 1535, 267, 586, 267, 2597, 2567, 319, 2387, 6892, 1109, 1730, 23950, 20572, 4940, 6572, 263, 630, 344, 267, 2597, 3738, 5148, 319, 2387, 6892, 1109, 1730, 23950, 314, 344, 4940, 6572, 9230, 343, 267, 2597, 4297, 32547, 5231, 2387, 258, 9577, 547, 1265, 519, 20125, 319, 2387, 258, 3845, 1063, 1022, 6292, 540, 319, 2387, 258, 1079, 1114, 1434, 9136, 319, 2387, 3698, 319, 2387, 2381, 291, 2700, 14116, 337, 267, 562, 267, 1253, 267, 1471, 267, 513, 267, 737, 2567, 319, 2387, 6892, 1109, 1730, 258, 5901, 338, 5934, 3693, 593, 1283, 319, 2387, 6892, 1109, 1730, 336, 12181, 284, 319, 2387, 515, 777, 1518, 8443, 8079, 319, 2387, 1109, 1109, 319, 1109, 2387, 6892, 1109, 1730, 258, 1677, 1832, 2838, 2626, 319, 2387, 6892, 1109, 1730, 753, 12181, 284, 319, 2387, 7246, 311, 296, 32547, 5231, 2387, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 562, 12181, 266, 319, 2387, 272, 1730, 2567, 319, 2387, 13725, 1109, 1730, 258, 1403, 621, 568, 711, 1434, 14584, 319, 2387, 13725, 1109, 1730, 604, 319, 2387, 2254, 319, 25464, 320, 5157, 316, 2567, 319, 2387, 24748, 1109, 1730, 11666, 826, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 258, 5901, 782, 14622, 711, 10272, 319, 2387, 13725, 1109, 1730, 258, 543, 3845, 607, 10790, 311, 296, 319, 2387, 13725, 1109, 1730, 1721, 319, 2387, 329, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 562, 12181, 266, 319, 2387, 272, 1730, 2567, 319, 2387, 24748, 1109, 1730, 23251, 14728, 316, 12181, 284, 319, 2387, 7246, 311, 296, 32547, 2387, 24748, 1109, 1730, 6665, 14728, 316, 12181, 284, 319, 2387, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 258, 20028, 689, 476, 603, 14584, 547, 476, 603, 568, 4642, 319, 2387, 13725, 1109, 1730, 23251, 5157, 316, 12181, 284, 319, 2387, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 258, 5269, 20313, 8900, 319, 2387, 13725, 1109, 1730, 336, 12181, 284, 319, 2387, 26514, 319, 5231, 2387, 13725, 1109, 1730, 258, 32379, 519, 476, 603, 14584, 319, 2387, 13725, 1109, 1730, 515, 1952, 2313, 32429, 267, 1109, 630, 1730, 271, 1730, 267, 1775, 3738, 5148, 319, 5231, 2387, 13725, 1109, 1730, 258, 4032, 519, 1434, 14622, 319, 2387, 13725, 1109, 1730, 16591, 12181, 284, 319, 2387, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 6112, 319, 2387, 336, 281, 319, 2387, 24748, 1109, 1730, 258, 6875, 519, 1283, 3693, 319, 2387, 24748, 1109, 1730, 341, 12181, 284, 319, 2387, 336, 314, 1730, 271, 1730, 6012, 1730, 272, 1730, 316, 319, 5231, 2387, 24748, 1109, 1730, 258, 17179, 621, 319, 2387, 24748, 1109, 1730, 515, 1952, 641, 32429, 5148, 319, 5231, 2387, 24748, 1109, 1730, 258, 1403, 621, 568, 2907, 10272, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 6665, 314, 341, 316, 2567, 319, 2387, 7673, 13725, 1109, 1730, 11666, 826, 1730, 32547, 2387, 24748, 1109, 1730, 6665, 314, 341, 316, 12181, 284, 319, 2387, 272, 1730, 32547, 2387, 24748, 1109, 319, 1109, 2387, 24748, 1109, 319, 1109, 2387, 24748, 1109, 1730, 258, 4032, 1434, 14622, 319, 2387, 24748, 1109, 1730, 16591, 12181, 266, 1730, 284, 319, 2387, 320, 314, 341, 22049, 319, 5231, 2387, 24748, 1109, 1730, 258, 1403, 3845, 689, 642, 628, 14584, 319, 2387, 24748, 1109, 1730, 258, 568, 3152, 982, 20735, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 23251, 314, 341, 316, 3436, 20735, 2567, 319, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 5231, 2387, 24748, 1109, 1730, 258, 1403, 1079, 1434, 14622, 616, 1336, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 16591, 12181, 284, 1730, 284, 319, 2387, 273, 319, 2387, 663, 319, 2387, 320, 314, 341, 316, 2567, 319, 2387, 7673, 13725, 1109, 1730, 753, 12181, 284, 319, 2387, 2381, 1730, 263, 753, 267, 1253, 314, 341, 316, 5148, 319, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 5231, 2387, 24748, 1109, 1730, 258, 3619, 547, 782, 11105, 14622, 319, 2387, 24748, 1109, 1730, 1721, 319, 2387, 329, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 271, 1730, 267, 12181, 6352, 1730, 263, 23950, 314, 341, 8079, 2567, 319, 2387, 7673, 13725, 1109, 1730, 1729, 12181, 284, 319, 2387, 23950, 314, 341, 6012, 329, 6012, 1730, 271, 1730, 22049, 319, 2387, 7673, 13725, 1109, 1730 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7954, 267, 1287, 649, 666, 2161, 1412, 13433, 9538, 1403, 2901, 851, 3884, 1405, 1318, 267, 1287, 621, 4991, 513, 1412, 7224, 9538, 5016, 29310, 267, 789, 8268, 519, 13300, 540, 519, 5728, 4677, 1247, 1565, 811, 827, 15819, 543, 6602, 269, 2991, 3108, 540, 1187, 267, 789, 7691, 621, 729, 3478, 3735, 269, 22582, 267, 519, 2666, 9944, 873, 3459, 24373, 269, 1323, 11895, 15993, 8118, 909, 267, 24948, 519, 14827, 10766, 269, 4256, 16012, 14951, 8604, 4503, 11014, 1813, 547, 741, 23388, 910, 30534, 547, 2638, 952, 741, 2132, 8905, 1131, 3251, 3015, 780, 11514, 1952, 31212, 2943, 8797, 267, 7665, 543, 15039, 8120, 1753, 16734, 519, 2956, 540, 6236, 1169, 2460, 540, 741, 3527, 267, 1519, 2009, 4539, 269, 901, 6397, 7045, 6026, 873, 3407, 4245, 593, 9266, 3206, 267, 8239, 267, 543, 519, 4644, 540, 22509, 697, 1312, 538, 2257, 543, 4948, 1272, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 304, 281, 589, 2243, 602, 568, 1863, 540, 1022, 21342, 610, 2845, 5632, 6959, 267, 1058, 581, 13042, 1412, 13433, 3299, 6382, 621, 1058, 581, 8612, 607, 1412, 7224, 8339, 589, 2243, 568, 19016, 1227, 2953, 952, 782, 922, 9988, 1775, 4318, 269, 17205, 267, 13450, 267, 21371, 267, 840, 21752, 267, 21770, 267, 740, 18690, 616, 693, 3617, 2990, 269, 589, 2243, 568, 25401, 2953, 952, 519, 23066, 2306, 2631, 563, 306, 27542, 281, 6628, 6368, 524, 17660, 519, 6532, 547, 8050, 538, 519, 1032, 476, 5197, 273, 267, 896, 519, 2474, 540, 519, 15521, 540, 2549, 16772, 269, 3097, 9223, 281, 1548, 5949, 1310, 519, 14097, 729, 9896, 888, 288, 912, 13433, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 1576, 1770, 782, 827, 24890, 543, 17049, 2835, 256, 5620, 596, 2479, 4862, 540, 513, 1433, 1373, 17049, 1354, 286, 898, 1522, 3280, 899, 1945, 856, 540, 513, 18912, 9661, 267, 855, 621, 781, 2965, 5949, 1082, 2053, 2429, 1686, 269, 1924, 1018, 1281, 621, 1611, 950, 513, 1433, 4991, 17049, 286, 4270, 267, 621, 1797, 602, 2576, 814, 4956, 602, 1004, 12582, 1405, 581, 4847, 547, 1224, 602, 1880, 1433, 1317, 789, 3494, 922, 9115, 616, 20025, 610, 5739, 538, 930, 1259, 269, 1809, 945, 16976, 799, 2835, 1205, 17049, 267, 543, 1946, 798, 789, 1589, 1978, 2835, 1058, 581, 1055, 7182, 286, 1452, 616, 1175, 930, 540, 519, 2055, 649, 3513, 2263, 1927, 538, 713, 1770, 780, 5575, 267, 1577, 781, 2911, 827, 1946, 2835, 3006, 1205, 17049, 269, 1703, 616, 6266, 540, 1114, 4128, 1946, 713, 4523, 267, 855, 1934, 616, 513, 1906, 1455, 3283, 1384, 272, 269, 5510, 2400, 5678, 281, 2368, 2835, 2270, 1893, 602, 568, 2808, 5175, 3258, 610, 18086, 269, 901, 1223, 1331, 2220, 792, 1913, 267, 7292, 1793, 2720, 267, 610, 1022, 2186, 540, 4633, 602, 568, 2938, 607, 771, 27920, 995, 610, 10413, 995, 2509, 1866, 563, 273, 269, 20222, 610, 18753, 12474, 281, 4033, 2835, 1522, 4183, 10795, 10207, 610, 8763, 11673, 540, 3023, 610, 3075, 946, 269, 4658, 945, 1616, 547, 7333, 891, 5686, 540, 2835, 1419, 8044, 602, 20392, 1453, 547, 971, 1570, 1223, 11874, 1764, 741, 1646, 563, 274, 269, 11572, 610, 16241, 27801, 338, 281, 6884, 267, 2835, 616, 17049, 1317, 789, 4161, 3964, 2797, 610, 3909, 5784, 269, 1280, 1383, 267, 513, 2229, 1522, 7333, 513, 1433, 952, 621, 10404, 3278, 519, 15194, 5428, 610, 8992, 4978, 602, 979, 1996, 4013, 14985, 563, 275, 269, 20351, 18112, 550, 566, 281, 10251, 267, 972, 616, 1869, 4025, 538, 519, 1158, 1141, 2835, 10023, 11806, 266, 3197, 610, 4798, 616, 17049, 1813, 547, 14882, 543, 7130, 780, 3086, 602, 649, 917, 930, 540, 519, 4128, 1946, 2835, 1205, 17049, 267, 1577, 781, 1413, 693, 930, 1483, 3734, 1806, 269, 2290, 4583, 2013, 3322, 513, 1433, 1572, 834, 2414, 23703, 513, 631, 20689, 2437, 2854, 676, 22489, 10557, 269, 5590, 538, 519, 1977, 3162, 1282, 519, 476, 4350, 271, 338, 267, 713, 3209, 9388, 609, 10168, 267, 22149, 267, 543, 1514, 8635, 269, 6736, 922, 3532, 5048, 827, 5126, 543, 6568, 267, 834, 2414, 23703, 513, 631, 20689, 257, 814, 1044, 13934, 610, 17049, 3875, 2053, 2094, 922, 8313, 538, 476, 3422, 271, 1107, 6140, 1813, 547, 4145, 936, 922, 26841, 540, 5198, 1894, 543, 519, 946, 540, 7292, 1793, 2720, 780, 5194, 1134, 8153, 1383, 568, 808, 6185, 269, 590, 2718, 518, 781, 5929, 4947, 6361, 21943, 1650, 267, 834, 763, 9697, 7815, 538, 519, 681, 6614, 1701, 15618, 538, 476, 4198, 272, 267, 713, 3209, 5205, 7141, 3042, 16502, 15579, 523, 595, 4954, 7615, 607, 646, 12066, 956, 609, 4606, 540, 32238, 267, 4965, 267, 543, 18326, 269, 3683, 519, 1296, 267, 834, 763, 9697, 7815, 538, 519, 681, 6614, 257, 814, 5185, 9880, 585, 922, 18367, 5717, 540, 14920, 267, 1527, 534, 640, 267, 543, 9228, 4550, 3146, 31437, 27742, 269, 1306, 513, 1267, 267, 621, 814, 4749, 7902, 593, 8638, 540, 17049, 2835, 2066, 3013, 780, 3719, 1247, 7333, 940, 2835, 1522, 3100, 899, 606, 2653, 3070, 547, 5466, 11786, 3584, 267, 621, 12651, 1271, 2055, 827, 5191, 540, 4082, 543, 7214, 15698, 269, 5808, 4991, 547, 6430, 1018, 1344, 568, 3617, 585, 721, 547, 8532, 286, 1656, 1018, 6835, 616, 649, 11488, 547, 3214, 950, 649, 2995, 873, 602, 1978, 2984, 616, 1932, 5906, 610, 9184, 5622, 547, 1224, 286, 1635, 3695, 891, 2152, 1927, 267, 649, 4126, 547, 5000, 2565, 3206, 543, 8141, 6209, 7391, 1472, 24890, 543, 519, 1379, 540, 3332, 780, 12244, 5384, 2439, 4131, 781, 2322, 6000, 538, 519, 10887, 540, 513, 524, 16428, 543, 2119, 547, 1174, 741, 5133, 269, 7994, 835, 540, 707, 5172, 2835, 267, 1287, 1711, 1614, 7440, 585, 1946, 2576, 1522, 1616, 547, 7333, 621, 269, 5457, 267, 891, 1810, 1405, 8209, 723, 547, 2992, 707, 2123, 8369, 282, 3079, 267, 4952, 1018, 1843, 687, 2576, 3116, 1522, 6318, 1759, 593, 2188, 899, 1893, 267, 5208, 267, 610, 16809, 269, 30850, 267, 2671, 707, 1592, 609, 513, 7649, 543, 1865, 2436, 596, 3858, 610, 10990, 609, 1142, 1761, 2601, 585, 7333, 940, 707, 6074, 1433, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 6221, 568, 1373, 4421, 676, 606, 10572, 590, 11839, 543, 786, 711, 6928, 689, 519, 6732, 3883, 32697, 781, 23999, 269, 634, 590, 11839, 1590, 6166, 519, 1931, 1369, 1079, 1870, 2395, 269, 1403, 519, 590, 11839, 31439, 547, 6133, 610, 14543, 547, 6166, 1369, 713, 942, 7406, 267, 1287, 519, 1931, 568, 23545, 539, 563, 8923, 581, 2386, 547, 1224, 519, 13517, 6035, 676, 519, 590, 11839, 563, 22709, 2923, 723, 3144, 519, 3059, 2490, 281, 789, 723, 1500, 519, 5912, 689, 519, 12746, 2250, 883, 938, 3059, 2104, 269, 4653, 781, 2792, 1053, 991, 513, 1433, 602, 8952, 10605, 609, 1346, 2242, 11652, 609, 741, 1378, 2833, 607, 2923, 6800, 269, 2755, 1053, 949, 581, 5432, 609, 519, 5767, 2029, 267, 9012, 1299, 9177, 666, 948, 3986, 741, 1620, 540, 875, 649, 8452, 693, 713, 1448, 267, 543, 1141, 649, 2811, 18188, 269, 634, 1007, 7160, 7710, 519, 2360, 540, 519, 3059, 2490, 609, 1007, 543, 13181, 851, 1930, 619, 602, 2007, 883, 938, 2923, 4616, 6208, 267, 513, 6216, 20642, 3184, 593, 3059, 11080, 602, 4422, 4514, 543, 2417, 982, 824, 2923, 2835, 267, 543, 606, 7471, 11473, 290, 523, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 839, 11208, 543, 645, 10165, 7734, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 16520, 29576, 1299, 26888, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 3957, 18696, 6807, 267, 5030, 2185, 2828, 910, 15207, 519, 1855, 5586, 1905, 615, 267, 24981, 519, 12565, 1740, 518, 267, 27385, 519, 590, 841, 528, 267, 543, 744, 961, 773, 519, 16368, 269, 1358, 941, 8049, 543, 27093, 3214, 945, 6068, 3695, 519, 1158, 1472, 873, 780, 3080, 1554, 267, 789, 4862, 2984, 827, 519, 1390, 17235, 534, 2782, 602, 3576, 1747, 1279, 3516, 269, 1358, 4121, 875, 519, 2112, 4957, 519, 1259, 12959, 941, 10692, 676, 10962, 1007, 4066, 899, 751, 25393, 338, 267, 7841, 1811, 267, 543, 2848, 4461, 4721, 269, 19196, 1243, 676, 891, 18563, 267, 789, 4956, 547, 1628, 741, 1378, 20538, 3631, 540, 1142, 2029, 543, 1449, 741, 7207, 780, 20755, 3240, 3710, 513, 751, 25393, 3684, 602, 1223, 6494, 6835, 2066, 1279, 9883, 14678, 269, 1261, 6045, 547, 1010, 2828, 875, 5201, 8928, 998, 12904, 543, 11438, 6835, 5488, 982, 9640, 610, 5017, 269, 24981, 4951, 1200, 2828, 875, 2178, 543, 3608, 14884, 1223, 3560, 5370, 543, 1004, 3533, 543, 9108, 936, 1279, 9883, 269, 11531, 267, 27385, 30774, 1010, 2848, 4461, 1222, 2059, 519, 5757, 267, 11744, 875, 9817, 13324, 676, 8781, 5755, 1223, 1847, 5230, 13907, 24672, 269, 14936, 267, 744, 961, 773, 3838, 8941, 540, 519, 22800, 16368, 7276, 543, 875, 621, 2899, 12199, 5318, 11182, 780, 2026, 789, 5129, 1927, 267, 789, 7691, 602, 891, 10124, 3648, 12012, 519, 6364, 540, 10617, 543, 22198, 6548, 519, 1379, 6384, 1851, 6082, 269, 3807, 899, 741, 9162, 267, 1483, 2477, 16941, 593, 891, 7760, 547, 4228, 741, 11182, 543, 2149, 2933, 1996, 14763, 269, 10251, 267, 711, 782, 23693, 15068, 891, 2242, 282, 930, 17379, 1813, 547, 4835, 2152, 543, 5007, 12503, 267, 971, 607, 519, 4617, 2287, 540, 519, 16368, 7276, 1310, 519, 17235, 534, 2782, 780, 4913, 267, 1256, 1498, 835, 10504, 8593, 267, 1776, 9782, 1765, 305, 17892, 269, 6736, 9561, 519, 4890, 4655, 267, 6576, 7307, 547, 6542, 7415, 1761, 585, 2208, 543, 1646, 269, 1635, 12561, 5499, 2853, 543, 10115, 538, 4108, 18175, 10232, 267, 6576, 2968, 513, 23773, 3196, 547, 22672, 517, 609, 267, 18534, 12686, 519, 2518, 11466, 2943, 1586, 780, 2414, 741, 9983, 267, 1247, 4730, 267, 519, 1895, 4362, 602, 741, 5916, 3646, 3366, 547, 6397, 4539, 269, 4634, 1498, 9039, 5497, 547, 546, 996, 337, 821, 744, 961, 773, 781, 11537, 12228, 30689, 267, 519, 9283, 1500, 538, 2792, 267, 6283, 267, 543, 17825, 6038, 8329, 547, 13346, 519, 3666, 540, 1379, 269, 1306, 789, 2322, 2476, 741, 9162, 267, 519, 1453, 10630, 2390, 519, 10347, 16799, 1063, 3356, 543, 2245, 267, 16734, 602, 3006, 5647, 666, 1291, 547, 27644, 4093, 269, 1656, 865, 267, 938, 2370, 12325, 4797, 1565, 543, 3395, 267, 1620, 602, 1169, 2962, 814, 513, 5114, 267, 4259, 1055, 513, 5832, 540, 2621, 3056, 547, 2901, 10103, 610, 19261, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 1018, 2081, 1705, 519, 17235, 534, 2782, 1764, 519, 2518, 3666, 540, 1379, 1282, 519, 476, 866, 628, 2540, 888, 763, 17235, 534, 2782, 1185, 1713, 5222, 593, 519, 2518, 3666, 540, 1379, 1282, 519, 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 ]
[ 540, 621, 666, 2014, 2042, 269, 1879, 621, 4991, 14095, 1927, 267, 621, 7140, 883, 4672, 799, 666, 581, 31868, 2044, 543, 5906, 269, 1924, 267, 3006, 649, 991, 547, 4894, 930, 540, 621, 3010, 9617, 1287, 267, 972, 729, 513, 10978, 1212, 752, 4553, 676, 513, 16154, 3544, 269, 589, 1804, 7936, 1185, 7745, 1055, 896, 519, 2597, 540, 519, 6777, 543, 15468, 5196, 519, 4155, 17527, 6808, 256, 15526, 538, 519, 4055, 3154, 6244, 267, 4849, 585, 2370, 15039, 945, 804, 11474, 31113, 780, 257, 32452, 256, 6733, 693, 602, 256, 16176, 568, 5863, 10590, 1352, 608, 13094, 269, 4173, 15131, 4769, 1405, 6474, 3025, 3116, 781, 8710, 610, 6161, 269, 769, 1249, 267, 1256, 1498, 789, 6956, 1946, 6004, 269, 9652, 6569, 519, 6777, 267, 1100, 835, 1185, 4397, 971, 513, 10565, 17431, 540, 922, 1761, 12178, 780, 4517, 3976, 267, 15039, 4121, 827, 1312, 519, 5898, 543, 829, 559, 540, 6777, 267, 26354, 606, 2038, 1719, 538, 14368, 1108, 910, 519, 1353, 540, 4365, 9259, 269, 6736, 519, 6397, 10071, 267, 1352, 1869, 6068, 8384, 519, 6777, 4148, 1389, 2887, 267, 6616, 1631, 811, 982, 2479, 602, 1169, 2067, 3693, 814, 1079, 5011, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2237, 519, 1985, 4845, 538, 713, 5037, 1384, 288, 1126, 29167, 693, 513, 6885, 1247, 513, 812, 13964, 568, 15524, 767, 532, 6777, 269, 646, 692, 13510, 9005, 3681, 912, 328, 269, 4422, 1472, 7432, 519, 6777, 267, 5969, 621, 14961, 883, 2462, 25862, 269, 3248, 4512, 269, 7575, 1394, 543, 8521, 267, 16116, 909, 6777, 543, 3001, 621, 2476, 689, 519, 7450, 269, 3248, 13839, 269, 15211, 1524, 519, 24383, 543, 6763, 538, 1899, 609, 1866, 593, 519, 3268, 269, 3248, 643, 269, 2306, 621, 782, 519, 1259, 1524, 519, 24383, 543, 2501, 1394, 547, 519, 8254, 269, 3248, 4512, 269, 7575, 1394, 543, 8521, 267, 16116, 909, 6777, 543, 3001, 621, 2476, 689, 519, 7450, 780, 15008, 281, 634, 812, 568, 15524, 767, 532, 6777, 267, 799, 1797, 646, 568, 21757, 6777, 689, 519, 1858, 269, 8382, 13797, 6941, 713, 2962, 1317, 646, 568, 16116, 909, 519, 6777, 543, 3001, 621, 2476, 689, 519, 7450, 269, 8382, 1775, 568, 4636, 1317, 7432, 519, 6777, 883, 2462, 25862, 3085, 1405, 1118, 2631, 950, 3843, 547, 2312, 519, 6777, 269, 8382, 25831, 543, 17488, 616, 4636, 1317, 789, 2446, 519, 812, 6972, 1524, 24383, 543, 7555, 538, 3515, 267, 799, 1810, 1405, 9305, 547, 15524, 767, 532, 6777, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 277, 281, 12426, 3562, 6874, 762, 9721, 28690, 692, 7072, 912, 5331, 9361, 693, 513, 18241, 3349, 538, 513, 844, 5593, 13962, 512, 26786, 2476, 538, 519, 12902, 3039, 15113, 540, 8581, 269, 1411, 1413, 1524, 693, 707, 6676, 543, 1294, 513, 10477, 5044, 540, 4195, 5388, 267, 13035, 5779, 267, 543, 23599, 11922, 269, 3962, 11116, 28377, 609, 8137, 267, 543, 596, 666, 1405, 948, 855, 4898, 1141, 782, 891, 8949, 5820, 3357, 689, 269, 4270, 267, 1577, 803, 2995, 596, 910, 789, 2693, 3357, 2786, 689, 519, 3484, 547, 707, 3349, 256, 901, 1523, 568, 1572, 834, 325, 1301, 3562, 2389, 762, 2437, 799, 1797, 602, 22730, 2707, 741, 5820, 12725, 267, 1419, 2324, 5702, 609, 6705, 945, 1332, 1426, 1210, 4264, 2409, 269, 4653, 267, 649, 786, 2263, 713, 2856, 998, 519, 7828, 540, 2757, 9721, 11951, 269, 1924, 10544, 707, 24203, 976, 543, 1205, 4712, 547, 1451, 827, 930, 9735, 8286, 2439, 4089, 476, 272, 281, 1548, 1772, 12426, 3562, 6874, 762, 2496, 2691, 621, 2501, 547, 5986, 267, 972, 616, 1082, 2081, 547, 1265, 543, 5965, 5820, 269, 2290, 1259, 568, 676, 27126, 3536, 2047, 689, 2199, 11396, 267, 849, 1634, 607, 3484, 3562, 2389, 762, 18226, 269, 1635, 3257, 713, 267, 29397, 1489, 7404, 4213, 1247, 4180, 602, 519, 5820, 789, 946, 616, 607, 4195, 543, 2635, 607, 2009, 269, 3509, 14060, 1631, 2259, 3484, 3562, 2389, 762, 1317, 1004, 1616, 547, 917, 811, 827, 1018, 789, 3548, 543, 875, 621, 5222, 1312, 741, 4703, 543, 519, 1604, 269, 1879, 1426, 3085, 1405, 723, 547, 2951, 2484, 9883, 267, 7864, 2200, 616, 1031, 267, 1818, 713, 1505, 1732, 585, 12624, 3047, 1932, 2439, 12244, 281, 5620, 1053, 1382, 1114, 2010, 540, 3132, 6738, 538, 741, 3148, 543, 1711, 513, 1592, 540, 1761, 8286, 789, 1223, 1118, 1210, 1346, 3688, 269, 11559, 5876, 2439, 4089, 476, 273, 281, 12465, 9721, 2598, 1127, 3619, 12426, 3562, 6874, 762, 692, 296, 516, 1633, 814, 513, 3638, 11477, 1686, 4904, 609, 4313, 532, 12403, 338, 267, 29902, 533, 625, 267, 543, 11423, 3694, 338, 269, 2060, 922, 22465, 2916, 543, 726, 550, 3814, 11811, 267, 8581, 19646, 2357, 323, 656, 8916, 3501, 585, 3395, 5613, 267, 19787, 267, 9274, 267, 543, 9870, 13184, 269, 2368, 5929, 9721, 10346, 4324, 7494, 950, 1500, 1210, 12725, 1606, 712, 1027, 5820, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 1614, 2442, 3283, 1384, 272, 269, 2701, 23311, 781, 26629, 281, 17214, 5097, 609, 2666, 23758, 610, 14132, 267, 17436, 267, 17112, 267, 543, 12277, 267, 1352, 23311, 781, 2650, 3587, 3063, 2027, 950, 5423, 1210, 6371, 1922, 539, 5779, 543, 12119, 5388, 689, 7404, 11396, 563, 273, 269, 2051, 322, 27553, 281, 901, 11792, 1117, 15837, 8670, 4991, 3773, 1166, 1515, 609, 25989, 610, 22648, 1094, 583, 2946, 539, 538, 13342, 543, 7423, 269, 4635, 4195, 16719, 13603, 1175, 3108, 1354, 2306, 897, 322, 27553, 6492, 11212, 7524, 563, 274, 269, 590, 18649, 29968, 281, 23875, 20054, 19471, 14614, 3694, 3636, 856, 540, 519, 14089, 269, 26157, 2898, 10568, 7912, 267, 11256, 14614, 267, 6070, 267, 543, 855, 3410, 20488, 5932, 513, 2241, 2943, 17598, 3138, 2378, 1655, 10150, 1793, 9312, 609, 4195, 8645, 2044, 7423, 269, 6733, 585, 2199, 10683, 3681, 547, 3986, 519, 1995, 2439, 12244, 281, 7420, 1053, 547, 30712, 835, 540, 891, 2757, 9721, 8286, 1210, 5820, 1336, 1369, 741, 2146, 269, 1403, 2009, 267, 5000, 11564, 547, 16027, 781, 6990, 610, 32296, 2199, 11396, 2047, 780, 6962, 912, 3528, 8508, 519, 3484, 3562, 2389, 762, 6138, 267, 649, 1831, 4448, 711, 1152, 547, 938, 6980, 855, 849, 547, 519, 2244, 543, 1004, 3743, 585, 6721, 938, 1426, 269, 1306, 8049, 29397, 267, 1565, 827, 6237, 32345, 2636, 721, 547, 5660, 2686, 3604, 1247, 14120, 3838, 2833, 1472, 519, 12129, 3349, 269, 6787, 596, 2661, 538, 14297, 25212, 610, 12560, 570, 23124, 776, 267, 3314, 602, 6220, 2199, 10366, 883, 11537, 10346, 2337, 8190, 19644, 5389, 1247, 14637, 1560, 267, 2247, 267, 543, 6891, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 312, 4888, 294, 5085, 288, 918, 269, 681, 15477, 2207, 4811, 454, 15771, 5588, 5308, 15760, 8863, 305, 3041, 2316, 20911, 27946, 298, 10976, 630, 5183, 294, 2464, 476, 1556, 268, 1704, 994, 288, 1279, 532, 585, 4276, 538, 513, 8978, 25708, 269, 589, 7287, 547, 2671, 513, 6612, 585, 519, 6575, 269, 634, 561, 675, 540, 513, 476, 866, 628, 2540, 1920, 4630, 652, 1737, 269, 3245, 4683, 547, 6917, 267, 543, 689, 1279, 28004, 547, 6216, 1007, 267, 1169, 1507, 1870, 538, 20523, 700, 2378, 599, 8291, 814, 513, 19918, 2123, 2601, 585, 8380, 1524, 5072, 1934, 269, 3371, 616, 519, 5169, 2984, 585, 2947, 540, 873, 563, 13975, 715, 269, 14520, 628, 853, 1421, 700, 2378, 599, 8291, 454, 3721, 7315, 773, 543, 18281, 1546, 1188, 731, 267, 5411, 540, 966, 10679, 339, 20769, 639, 22878, 267, 5030, 593, 3131, 12541, 22971, 585, 8370, 1296, 1354, 3001, 547, 513, 7178, 2515, 30834, 1707, 269, 968, 2171, 5612, 5433, 865, 1033, 3737, 267, 1256, 609, 938, 18638, 1869, 538, 4884, 2223, 5153, 7315, 773, 3081, 563, 9824, 20814, 741, 1870, 689, 918, 1601, 3578, 9335, 547, 519, 2295, 540, 519, 2749, 267, 519, 7008, 12306, 883, 741, 1007, 2007, 338, 269, 3973, 5153, 7315, 773, 1185, 513, 16540, 269, 968, 16352, 7802, 547, 2511, 1250, 7218, 538, 5433, 899, 513, 2067, 6521, 267, 1510, 1373, 865, 11566, 602, 594, 7948, 1406, 960, 1250, 10344, 607, 1134, 2223, 1352, 3081, 563, 301, 22022, 1079, 1296, 3516, 267, 8496, 11146, 645, 719, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 1301, 3562, 6874, 762, 9721, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 9721, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 27620, 5004, 538, 8837, 267, 4481, 3695, 519, 1686, 543, 4720, 540, 17927, 13355, 7384, 3457, 3056, 909, 547, 2413, 16389, 269, 4197, 519, 1646, 540, 891, 3457, 666, 1683, 3407, 2796, 585, 5883, 519, 3309, 5044, 540, 13020, 1023, 543, 17960, 4122, 4448, 547, 4207, 8837, 1949, 780, 6524, 519, 4417, 540, 3020, 16389, 267, 972, 11478, 513, 7121, 540, 5985, 5904, 1634, 607, 13869, 339, 3591, 630, 528, 13869, 9008, 7193, 338, 1040, 1452, 11741, 267, 17426, 3457, 7153, 1282, 519, 3735, 476, 2735, 271, 338, 543, 7283, 2442, 2394, 1472, 476, 1220, 278, 950, 16389, 899, 519, 11197, 21236, 3323, 11543, 20086, 269, 9282, 1419, 5219, 547, 30430, 607, 1688, 18988, 610, 13869, 9008, 5904, 267, 621, 568, 1898, 547, 1174, 741, 2189, 4162, 780, 21595, 31198, 3591, 3622, 12286, 3710, 2987, 1883, 15236, 543, 13234, 1210, 1808, 5665, 1949, 971, 607, 667, 5308, 2861, 610, 8837, 9460, 5867, 269, 20905, 4881, 8837, 9460, 1223, 1256, 2196, 26987, 16365, 8747, 540, 3156, 2966, 585, 18376, 8837, 1949, 269, 11531, 267, 7435, 18988, 7193, 338, 267, 5189, 676, 9786, 538, 476, 1960, 277, 267, 6719, 513, 811, 4359, 1106, 3815, 3379, 547, 5929, 13869, 339, 3591, 269, 1358, 1630, 16556, 3677, 13819, 543, 3152, 4393, 1379, 1247, 1869, 4509, 2823, 1464, 269, 1717, 267, 1813, 547, 3656, 2962, 3144, 676, 26054, 267, 5549, 1421, 9786, 17146, 2509, 5009, 519, 2165, 834, 21652, 18988, 7193, 2437, 3927, 23243, 873, 689, 13869, 339, 3591, 780, 2026, 5018, 5892, 267, 1082, 13869, 339, 3591, 16941, 593, 28106, 5665, 1949, 3358, 12799, 585, 741, 3908, 8800, 7207, 269, 901, 3510, 3366, 547, 2591, 950, 12394, 547, 1921, 891, 3457, 547, 2123, 5904, 4881, 2407, 1922, 1194, 3022, 13013, 525, 899, 9049, 5937, 5308, 610, 8837, 269, 9182, 267, 9367, 1185, 547, 1711, 2688, 10256, 543, 3301, 20848, 547, 7520, 2792, 1063, 13869, 339, 3591, 543, 3984, 6191, 269, 3683, 942, 267, 2705, 267, 6639, 7760, 4847, 9755, 547, 16491, 2663, 3631, 609, 18292, 4296, 543, 29402, 1489, 267, 1818, 1239, 5385, 4443, 2066, 1585, 5867, 780, 24137, 4464, 547, 2221, 781, 5251, 267, 1141, 8837, 5170, 547, 20441, 519, 18376, 2344, 5103, 18979, 6735, 689, 5672, 5308, 543, 12380, 14778, 269, 2060, 519, 4473, 540, 14164, 630, 25542, 540, 12085, 264, 3457, 267, 5957, 1963, 267, 543, 5985, 31942, 787, 267, 5883, 782, 891, 19635, 1439, 9557, 814 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8266, 4590, 825, 1268, 815, 1268, 19152, 9638, 8266, 994, 825, 942, 815, 942, 19152, 4590, 825, 1587, 815, 8605, 263, 28128, 284, 4067, 267, 2179, 284, 1598, 263, 26920, 13211, 4449, 8587, 942, 284, 5503, 267, 2344, 284, 14337, 267, 1268, 284, 17367, 994, 825, 4688, 29410, 9638, 6055, 284, 28237, 994, 825, 1820, 2891, 763, 1587, 568, 10805, 15419, 3698, 2132, 29410, 10031, 825, 1820, 2891, 11767, 476, 272, 28560, 519, 1587, 723, 1100, 8919, 14826, 11767, 476, 273, 28560, 519, 1587, 723, 8919, 14826, 11767, 476, 274, 28560, 519, 1587, 568, 30465, 22812, 2897, 14826, 11767, 476, 275, 269, 2414, 2132, 1394, 5602, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 4590, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 4444, 29410, 2891, 5591, 318, 9377, 624, 5602, 2018, 2736, 454, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 4444, 29410, 2891, 9377, 624, 5602, 2018, 2736, 454, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 4444, 29410, 2891, 11847, 8529, 270, 3725, 31419, 5602, 2018, 2736, 454, 1038, 8640, 4971, 2652, 834, 275, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 1152, 7396, 1297, 257, 9239, 3698, 4688, 29410, 9638, 6055, 2187, 825, 1007, 5263, 815, 17093, 6910, 9638, 6055, 14857, 18743, 1029, 267, 11716, 16229, 18989, 994, 825, 1007, 5263, 30419, 32269, 3488, 2908, 318, 1873, 3424, 318, 21466, 27406, 3299, 4994, 25716, 9239, 3698, 2949, 21809, 2065, 263, 28128, 267, 1268, 2187, 825, 952, 1268, 912, 1038, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 2018, 4266, 20988, 815, 17093, 314, 4206, 10422, 3205, 2652, 1073, 329, 2639, 2018, 8228, 263, 28128, 284, 28128, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 994, 1038, 3116, 912, 2018, 585, 522, 538, 1073, 329, 912, 3546, 4266, 20988, 815, 17093, 314, 4206, 10422, 3205, 2652, 522, 2639, 3546, 8228, 263, 28128, 284, 334, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 994, 2018, 2698, 10574, 20988, 815, 17093, 314, 4206, 10422, 3205, 18994, 514, 263, 28128, 22708, 2018, 8228, 263, 28128, 6889, 23087, 2580, 1268, 284, 17367, 267, 4266, 5263, 284, 20135, 10574, 20988, 994, 825, 3116, 912, 1038, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 2018, 4266, 20988, 815, 17093, 314, 4206, 269, 30606, 338, 2652, 1073, 329, 2639, 2018, 8228, 263, 28128, 284, 28128, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 994, 1038, 3116, 912, 2018, 585, 522, 538, 1073, 329, 912, 3546, 4266, 20988, 815, 17093, 314, 4206, 269, 30606, 338, 2652, 522, 2639, 3546, 8228, 263, 28128, 284, 334, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 9239, 3698, 1808, 29410, 3528, 30606, 28442, 267, 17093, 321, 18989, 2187, 825, 952, 1826, 29254, 321, 264, 2652, 536, 944, 912, 1038, 17093, 321, 815, 17093, 454, 825, 1239, 815, 17093, 321, 314, 4206, 321, 269, 30606, 338, 2652, 2012, 2639, 825, 4444, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 24246, 262, 4940, 8649, 870, 27904, 15405, 825, 6133, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 306, 749, 262, 4940, 8649, 870, 27904, 15405, 825, 8919, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 9377, 624, 262, 4940, 8649, 870, 27904, 15405, 825, 2611, 815, 4444, 910, 6133, 910, 8919, 454, 825, 2132, 630, 321, 8500, 267, 6133, 267, 8919, 267, 2611, 9239, 3698, 1808, 29410, 3528, 31094, 9638, 3205, 267, 17093, 321, 18989, 2187, 825, 952, 1826, 29254, 321, 264, 2652, 536, 944, 912, 1038, 17093, 321, 815, 17093, 454, 825, 1239, 815, 17093, 321, 314, 4206, 321, 10422, 3205, 2652, 1268, 2639, 825, 4444, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 24246, 262, 4940, 8649, 870, 27904, 15405, 825, 6133, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 306, 749, 262, 4940, 8649, 870, 27904, 15405, 825, 8919, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 9377, 624, 262, 4940, 8649, 870, 27904, 15405, 825, 2611, 815, 4444, 910, 6133, 1341, 8919, 454, 825, 2132, 630, 321, 8500, 267, 6133, 267, 8919, 267, 2611, 9239, 3698, 1808, 29410, 3528, 14630, 5560, 622, 267, 1073, 329, 267, 1268, 2187, 825, 952, 1826, 5560, 622, 264, 2652, 24042, 912, 1038, 7173, 5263, 815, 17093, 314, 4206, 11053, 830, 13843, 4266, 314, 271, 27663, 1038, 1985, 5263, 815, 7173, 5263, 314, 2181, 341, 5263, 11053, 830, 10922, 4266, 314, 272, 27663, 1038, 952, 1268, 912, 2018, 4266, 5263, 815, 1985, 5263, 314, 10113, 5263, 10422, 3205, 2652, 1073, 329, 2639, 1038, 3116, 912, 2018, 4266, 5263, 815, 1985, 5263, 314, 10113, 5263, 269, 30606, 338, 2652, 1073, 329, 2639, 825, 3116, 912, 1038, 10859, 5263, 815, 17093, 314, 4206, 11053, 830, 2652, 4266, 2639, 1038, 952, 1268, 912, 2018, 4266, 5263, 815, 10859, 5263, 314, 9895, 328, 5263, 10422, 3205, 2652, 1073, 329, 2639, 1038, 3116, 912, 2018, 4266, 5263, 815, 10859, 5263, 314, 9895, 328, 5263, 269, 30606, 338, 2652, 1073, 329, 2639, 825, 2132, 4266, 5263, 7531, 3698, 2921, 14630, 10031, 825, 1820, 2891, 11767, 634, 5729, 281, 19515, 825, 1032, 815, 3403, 13425, 3488, 20204, 5073, 825, 1820, 2891, 11767, 634, 13600, 281, 19515, 825, 3923, 815, 3403, 13425, 3488, 24629, 5073, 825, 1820, 2891, 11767, 634, 11261, 281, 19515, 825, 1554, 815, 3403, 13425, 3488, 1485, 5073, 825, 4266, 815, 942, 19152, 2891, 346, 18511, 346, 18511, 24001, 2668, 8971, 12169, 792, 267, 3923, 267, 1554, 4917, 825, 2132, 4266, 7531, 3698, 1808, 14630, 21809, 2065, 263, 28128, 267, 1268, 2187, 825, 4266, 815, 2921, 14630, 4590, 825, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 1038, 4266, 5263, 815, 1808, 29410, 3528, 14630, 5560, 622, 284, 11845, 267, 1073, 329, 284, 28128, 267, 1268, 284, 17367, 994, 1038, 8228, 263, 28128, 267, 1268, 267, 4266, 5263, 994, 825, 3116, 912, 1038, 585, 522, 538, 1073, 329, 912, 2018, 4266, 5263, 815, 1808, 29410, 3528, 14630, 5560, 622, 284, 11845, 267, 1073, 329, 284, 334, 267, 1268, 284, 17367, 994, 2018, 8228, 263, 334, 267, 1268, 267, 4266, 5263, 9239, 3698, 8228, 263, 28128, 267, 1268, 267, 4266, 5263, 2187, 825, 1820, 4590, 825, 1820, 263, 28128, 1341, 27719, 333, 5602, 825, 4444, 815, 476, 271, 454, 825, 6133, 815, 476, 271, 454, 825, 8919, 815, 476, 271, 454, 825, 6967, 815, 476, 271, 454, 825, 952, 1268, 912, 1038, 1820, 2891, 30606, 8745, 29146, 29146, 24246, 29146, 306, 749, 29146, 9377, 624, 29146, 7230, 8724, 5602, 1038, 522, 8266, 815, 1843, 8266, 4590, 1038, 585, 522, 538, 522, 8266, 912, 2018, 1587, 815, 1808, 29410, 3528, 30606, 263, 334, 267, 17093, 321, 284, 11845, 5263, 994, 2018, 4444, 6834, 1587, 314, 271, 2639, 2018, 6133, 6834, 1587, 314, 272, 2639, 2018, 8919, 6834, 1587, 314, 273, 2639, 2018, 6967, 6834, 1587, 314, 274, 2639, 2018, 1820, 2891, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 24001, 2668, 8971, 18692, 3546, 522, 267, 2608, 28237, 4917, 825, 3116, 912, 1038, 1820, 2891, 31094, 29146, 24246, 29146, 306, 749, 29146, 9377, 624, 29146, 7230, 8724, 5602, 1038, 533, 8266, 815, 1268, 8266, 4590, 1038, 585, 533, 538, 533, 8266, 912, 2018, 1587, 815, 1808, 29410, 3528, 31094, 9638, 267, 17093, 321, 284, 11845, 5263, 994, 2018, 4444, 6834, 1587, 314, 271, 2639, 2018, 6133, 6834, 1587, 314, 272, 2639, 2018, 8919, 6834, 1587, 314, 273, 2639, 2018, 6967, 6834, 1587, 314, 274, 2639, 2018, 1820, 2891, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 24001, 2668, 8971, 18692, 3546, 533, 267, 2608, 28237, 4917, 825, 1820, 4590, 825, 1820, 2891, 13707, 29146, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 24001, 2668, 8971, 6357, 8500, 267, 6133, 267, 8919, 267, 6967, 4917, 825, 1820, 30800, 3698, 2039, 8170, 14630, 21809, 2065, 263, 28128, 267, 1268, 2187, 825, 1820, 2891, 5804, 5602, 825, 7173, 14630, 815, 2921, 14630, 4590, 825, 1820, 2891, 2414, 5602, 825, 1985, 14630, 815, 2921, 14630, 4590, 825, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 1038, 4266, 5263, 815, 1808, 29410, 3528, 14630, 18692, 2018, 4266, 14352, 2181, 341, 14630, 267, 1985, 14630, 1070, 1073, 329, 284, 28128, 267, 1268, 284, 17367, 994, 1038, 8228, 263, 28128, 267, 1268, 267, 4266, 5263, 994, 825, 3116, 912, 1038, 585, 522, 538, 1073, 329, 912, 2018, 4266, 5263, 815, 1808, 29410, 3528, 14630, 18692, 3546, 4266, 14352, 2181, 341, 14630, 267, 1985, 14630, 1070, 1073, 329, 284, 334, 267, 1268, 284, 17367, 994, 2018, 8228, 263, 334, 267, 1268, 267, 4266, 5263, 9239, 3698, 1397, 21809, 2065, 10031, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 827, 27014, 14826, 11767, 476, 273, 269, 2414, 917, 827, 12287, 14826, 11767, 476, 274, 269, 2414, 2132, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 1843, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 1268, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 8307, 519, 18169, 257, 9239, 3698, 1843, 14813, 334, 10031, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 827, 17266, 8629, 14826, 11767, 476, 273, 269, 2414, 917, 827, 13038, 27014, 14826, 11767, 476, 274, 269, 2414, 917, 827, 2353, 27014, 14826, 11767, 476, 275, 269, 2414, 1205, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 2582, 30606, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 2789, 30606, 338, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 782, 30606, 338, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 275, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 8307, 519, 18169, 257, 9239, 3698, 1205, 14630, 263, 28128, 267, 1268, 2187, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 16930, 11261, 11314, 14826, 11767, 476, 273, 269, 2414, 917, 2039, 540, 11261, 11314, 14826, 11767, 476, 274, 269, 2414, 917, 15788, 11314, 14826, 11767, 476, 275, 269, 2414, 1205, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 1808, 14630, 21809, 2065, 263, 28128, 267, 1268, 994, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 2039, 8170, 14630, 21809, 2065, 263, 28128, 267, 1268, 994, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 2949, 21809, 2065, 263, 28128, 267, 1268, 994, 1038, 8640, 4971, 2652, 834, 275, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 8307, 519, 18169, 257, 9239, 3698, 2582, 30606, 14813, 334, 9638, 3205, 25716, 2187, 825, 952, 1268, 912, 1038, 533, 8266, 815, 1268, 8266, 4590, 1038, 1073, 329, 815, 1268, 19152, 9638, 8266, 267, 9623, 18989, 994, 825, 3116, 912, 1038, 522, 8266, 815, 1843, 8266, 4590, 1038, 1073, 329, 815, 1843, 19152, 263, 334, 8266, 994, 825, 1205, 14630, 263, 28128, 267, 1268, 9239, 3698, 2789, 30606, 338, 14813, 334, 9638, 3205, 25716, 2187, 825, 1073, 329, 815, 6936, 454, 825, 1073, 329, 8266, 815, 11713, 825, 1247, 1073, 329, 912, 1038, 952, 1268, 912, 2018, 533, 8266, 815, 1268, 8266, 4590, 2018, 1073, 329, 815, 1268, 19152, 9638, 8266, 267, 3818, 18989, 994, 2018, 1073, 329, 8266, 6910, 263, 28128, 994, 1038, 3116, 912, 2018, 522, 8266, 815, 1843, 8266, 4590, 2018, 1073, 329, 815, 1843, 19152, 263, 334, 8266, 267, 3818, 18989, 994, 2018, 1073, 329, 8266, 6910, 263, 28128, 994, 825, 1205, 14630, 263, 28128, 284, 28128, 8266, 11468, 268, 272, 3910, 1268, 284, 17367, 9239, 3698, 782, 30606, 338, 14813, 334, 9638, 3205, 25716, 2187, 825, 952, 1268, 912, 1038, 1073, 329, 815, 1268, 8266, 4590, 825, 3116, 912, 1038, 1073, 329, 815, 1843, 8266, 4590, 825, 1205, 14630, 263, 28128, 284, 28128, 267, 1268, 284, 17367, 9239, 3698, 1268, 14813, 334, 10031, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 827, 17266, 12287, 14826, 11767, 476, 273, 269, 2414, 917, 827, 13038, 4658, 14826, 11767, 476, 274, 269, 2414, 917, 827, 2353, 4658, 14826, 11767, 476, 275, 269, 2414, 1205, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 2582, 30606, 14813, 334, 263, 12148, 994, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 1808, 2115, 269, 1358, 786, 1451, 602, 9647, 11893, 860, 923, 666, 1521, 5312, 9647, 31517, 2175, 1510, 519, 991, 585, 2101, 9647, 31517, 6391, 267, 2972, 513, 2656, 6051, 543, 22919, 519, 2298, 540, 1272, 602, 789, 17330, 563, 291, 3464, 269, 18332, 808, 269, 29124, 543, 6307, 589, 269, 19264, 778, 540, 5842, 17630, 13106, 11893, 860, 923, 6481, 6828, 1927, 723, 6707, 5701, 5215, 540, 2550, 609, 1591, 2861, 11257, 585, 811, 982, 1614, 5756, 269, 1358, 616, 3370, 4589, 543, 6565, 1591, 3173, 269, 634, 12676, 6865, 294, 9744, 538, 2961, 3149, 21112, 3568, 519, 1034, 4359, 3204, 17654, 6925, 2029, 538, 5842, 17630, 543, 3091, 1482, 1554, 5574, 609, 519, 5207, 1377, 540, 3106, 267, 12117, 543, 3461, 9547, 269, 0, 12709, 1315, 28950, 807, 454, 14532, 1299, 9177, 454, 306, 10095, 807, 3778, 1299, 9177, 454, 763, 1686, 540, 28950, 807, 7389, 1394, 1082, 5553, 607, 835, 540, 519, 9510, 9467, 6082, 538, 519, 1158, 269, 901, 568, 1813, 547, 519, 7580, 4087, 2059, 519, 23795, 540, 5101, 4000, 536, 867, 1359, 519, 13323, 540, 1520, 523, 267, 519, 4414, 7256, 543, 519, 4095, 7909, 269, 25214, 267, 28950, 807, 814, 930, 540, 519, 5763, 5006, 9467, 16788, 799, 1331, 519, 631, 690, 611, 880, 340, 2823, 267, 1631, 936, 513, 8536, 1296, 2025, 543, 824, 8037, 16788, 971, 607, 918, 1143, 599, 334, 267, 7137, 828, 320, 267, 18548, 553, 334, 267, 30330, 320, 543, 519, 3504, 2823, 540, 14858, 10042, 563, 26576, 814, 1279, 5129, 513, 2101, 1909, 538, 519, 2528, 540, 28950, 807, 267, 609, 5771, 538, 519, 2197, 6580, 1394, 547, 519, 2038, 5736, 540, 519, 4984, 1472, 519, 18749, 2540, 269, 15845, 540, 713, 666, 581, 1336, 538, 28950, 807, 779, 8978, 267, 5553, 6040, 9923, 13196, 269, 1452, 1331, 519, 14858, 10042, 9923, 4302, 630, 300, 553, 329, 573, 4432, 1627, 7441, 622, 523, 2235, 320, 476, 7785, 1070, 609, 922, 10058, 1079, 1295, 732, 1206, 267, 835, 602, 8188, 13243, 543, 519, 824, 267, 3710, 2663, 267, 602, 8188, 2725, 17433, 269, 16952, 9923, 13196, 616, 1336, 538, 7137, 828, 320, 267, 670, 2378, 684, 543, 782, 519, 1259, 547, 631, 690, 611, 880, 340, 267, 30330, 320, 267, 4446, 320, 933, 543, 918, 1143, 599, 334, 269, 3509, 540, 519, 1034, 8037, 9923, 13196, 538, 28950, 807, 971, 607, 1488, 9346, 685, 320, 681, 4157, 684, 538, 631, 690, 611, 880, 340, 630, 15132, 320, 476, 14695, 280, 1070, 519, 11016, 17018, 4302, 540, 30330, 320, 630, 15132, 320, 476, 8182, 280, 264, 543, 674, 752, 337, 740, 5937, 514, 538, 631, 690, 611, 880, 340, 630, 15132, 320, 476, 14695, 280, 264, 941, 519, 1152, 9923, 13196, 538, 5101, 4000, 547, 723, 1295, 732, 1206, 563, 8253, 2406, 267, 28950, 807, 814, 1279, 1044, 1634, 607, 513, 968, 301, 566, 540, 7313, 1115, 892, 1317, 540, 519, 24622, 8932, 1004, 779, 6612, 543, 9744, 585, 519, 19621, 6575, 269, 634, 2259, 540, 6965, 2968, 2647, 3262, 1813, 547, 519, 9930, 19631, 2470, 540, 519, 24622, 8932, 2245, 543, 3976, 267, 11488, 6835, 547, 835, 1776, 7444, 9927, 883, 513, 19621, 2511, 607, 891, 11430, 3740, 1913, 941, 4443, 547, 3314, 585, 519, 28034, 563, 306, 10095, 807, 568, 849, 1634, 585, 922, 29143, 1709, 540, 519, 4342, 601, 267, 513, 1883, 6293, 585, 519, 9930, 19631, 1272, 267, 799, 7018, 1063, 519, 3791, 543, 2034, 26992, 7460, 269, 901, 2259, 540, 29143, 1709, 1131, 2663, 3262, 547, 3504, 5527, 543, 883, 3345, 4000, 269, 9147, 26007, 540, 4342, 1564, 666, 581, 1336, 538, 519, 4224, 1148, 538, 519, 13946, 21272, 540, 5487, 553, 2983, 601, 267, 630, 277, 267, 1822, 268, 736, 267, 1822, 8536, 1032, 2025, 1070, 543, 616, 519, 9510, 26007, 540, 4342, 1564, 1851, 2038, 1004, 563, 25387, 267, 28950, 807, 814, 519, 4102, 2551, 540, 4342, 1564, 540, 1022, 1367, 2197, 538, 519, 1158, 267, 476, 1691, 2929, 269, 12751, 18666, 540, 28950, 807, 1331, 4342, 1564, 607, 1134, 607, 824, 13184, 267, 554, 1938, 267, 3165, 267, 543, 20397, 269, 28950, 807, 779, 4346, 568, 7361, 1759, 593, 13184, 2073, 3335, 8051, 585, 20733, 540, 476, 2412, 260, 540, 12654, 543, 476, 2004, 260, 540, 13143, 15271, 269, 1717, 267, 6683, 568, 1776, 1271, 5823, 540, 519, 4346, 454, 2414, 4266, 267, 28950, 807, 814, 513, 2551, 540, 5111, 476, 1428, 2929, 1004, 1369, 1200, 10665, 267, 543, 5111, 476, 1015, 2929, 538, 15231, 2477, 267, 543, 5176, 476, 273, 2929, 538, 519, 6820, 4144, 23159, 269, 6168, 476, 1015, 260, 540, 602, 24622, 8932, 4144, 23159, 2661, 1369, 519, 2136, 2276, 563, 8698, 28950, 807, 1686, 543, 2528, 454, 8138, 2466, 513, 7662, 585, 6351, 267, 538, 2013, 540, 1022, 6595, 596, 1522, 7237, 1282, 707, 12599, 563, 8138, 2466, 707, 2951, 3877, 1354, 596, 2951, 547, 5512, 721, 547, 3914, 596, 538, 2013, 540, 1022, 6595, 538, 519, 2197, 596, 616, 10707, 547, 269, 0, 763, 15746, 4679, 269, 901, 3948, 568, 20483, 909, 676, 8579, 2963, 267, 543, 18367, 569, 267, 1034, 1004, 616, 31464, 547, 2731, 1118, 519, 4674, 547, 4161, 621, 269, 1717, 267, 609, 519, 12614, 540, 4965, 267, 519, 2009, 4539, 2333, 269, 1280, 1870, 267, 519, 1292, 12343, 1131, 581, 519, 6727, 543, 3500, 2333, 538, 3747, 585, 31520, 267, 2523, 607, 811, 543, 811, 1004, 786, 991, 873, 269, 634, 824, 2042, 2404, 609, 519, 2068, 267, 971, 607, 1280, 1383, 267, 20026, 267, 8942, 547, 2170, 609, 519, 1158, 543, 4126, 585, 6051, 666, 581, 1360, 2352, 269, 2201, 513, 811, 2123, 1377, 267, 2705, 267, 4965, 666, 849, 1831, 835, 540, 519, 1919, 602, 1118, 2576, 3479, 11980, 563, 22296, 20141, 4555, 543, 519, 20537, 520, 657, 1950, 798, 711, 4096, 593, 2576, 7092, 689, 4965, 269, 4340, 547, 930, 7194, 267, 1034, 11980, 2665, 616, 1759, 811, 593, 4250, 610, 2123, 29359, 982, 4376, 3116, 269, 4033, 2009, 3123, 666, 849, 581, 2808, 267, 971, 607, 10178, 1738, 1143, 543, 513, 2489, 855, 11566, 4743, 540, 27945, 1145, 269, 4634, 952, 2576, 568, 711, 20158, 267, 602, 1268, 949, 723, 4555, 540, 11980, 543, 666, 6038, 1118, 513, 27290, 3375, 269, 19452, 267, 1175, 1373, 20158, 3884, 1406, 2614, 547, 1205, 2576, 547, 3479, 11980, 269, 1703, 616, 1896, 2188, 547, 2015, 538, 519, 19979, 5626, 3575, 602, 5932, 11980, 267, 855, 602, 3085, 1406, 1611, 602, 4965, 1058, 581, 16053, 610, 3274, 14593, 11735, 267, 607, 602, 779, 711, 519, 968, 15927, 9409, 892, 540, 519, 9183, 563, 763, 5626, 2360, 540, 4965, 1058, 711, 581, 19765, 13846, 269, 2368, 2090, 723, 3254, 602, 513, 1804, 1297, 540, 11980, 2665, 723, 267, 610, 2408, 547, 723, 267, 1185, 4791, 4965, 538, 519, 2250, 269, 4658, 945, 1831, 20158, 949, 711, 2141, 581, 593, 3758, 1317, 789, 723, 6074, 547, 22036, 519, 1966, 2864, 982, 3343, 3318, 948, 269, 1717, 267, 513, 6251, 1413, 693, 519, 8823, 540, 2828, 543, 1920, 2356, 2982, 602, 519, 1268, 814, 11124, 689, 519, 2068, 4505, 538, 741, 1272, 267, 1256, 952, 789, 723, 711, 1500, 1866, 3222, 540, 621, 269, 2755, 621, 568, 711, 1634, 2436, 4965, 666, 9888, 267, 972, 616, 930, 945, 3494, 602, 519, 3441, 2944, 1281, 711, 28201, 936, 942, 543, 949, 581, 15427, 676, 824, 2188, 693, 513, 2663, 942, 269, 2986, 1576, 267, 713, 568, 1152, 25127, 543, 7058, 1740, 267, 607, 621, 10355, 4523, 547, 1491, 513, 2673, 1413, 693, 875, 513, 11980, 2013, 5433, 538, 922, 2063, 2395, 269, 6271, 2460, 547, 2015, 568, 519, 2783, 666, 3362, 1831, 513, 18463, 585, 513, 1268, 779, 6530, 547, 1491, 1256, 811, 3441, 269, 634, 2009, 2427, 2360, 540, 15860, 4965, 666, 3382, 513, 3099, 540, 17867, 543, 2790, 4713, 269, 901, 267, 5916, 609, 519, 3929, 13438, 1419, 2404, 609, 519, 7099, 540, 519, 20158, 267, 666, 1118, 1256, 519, 13581, 652, 3787, 540, 24178, 795, 629, 6883, 1360, 5906, 269, 4400, 25774, 3871, 666, 2417, 22652, 513, 1268, 779, 2790, 1533, 267, 2523, 950, 519, 1268, 779, 2790, 1072, 2042, 616, 5702, 1644, 547, 741, 2702, 547, 960, 896, 2604, 269, 769, 891, 2665, 267, 519, 5626, 1533, 540, 519, 1268, 568, 2907, 513, 7904, 7566, 7848, 267, 543, 621, 568, 10703, 22133, 602, 24254, 513, 5114, 689, 835, 540, 519, 968, 4818, 7859, 892, 666, 1291, 547, 4555, 540, 11980, 267, 4352, 5007, 5208, 568, 849, 2693, 454, 21900, 657, 3177, 676, 623, 1410, 1564 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 8827, 24998, 2187, 825, 1219, 13074, 21595, 30308, 4311, 267, 521, 2187, 1038, 1376, 815, 476, 271, 454, 1038, 1439, 815, 476, 271, 454, 1038, 1219, 4228, 4433, 267, 3847, 267, 2431, 2187, 2018, 1247, 263, 3847, 285, 284, 271, 543, 1318, 283, 6352, 4433, 264, 543, 521, 314, 3847, 316, 2525, 338, 314, 2431, 316, 2187, 3546, 2451, 284, 3847, 268, 272, 454, 3546, 1318, 284, 2431, 266, 272, 454, 2018, 2132, 1318, 268, 3847, 268, 272, 454, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 1820, 9217, 994, 2018, 561, 272, 815, 4228, 4433, 267, 328, 267, 328, 994, 2018, 561, 273, 815, 4228, 4433, 267, 328, 267, 328, 266, 272, 994, 2018, 561, 815, 3193, 10857, 272, 267, 331, 273, 994, 2018, 952, 561, 285, 754, 3613, 691, 912, 3546, 1376, 815, 1775, 24179, 331, 268, 272, 8358, 273, 454, 3546, 1439, 815, 1775, 266, 331, 270, 273, 454, 1038, 2132, 521, 314, 11034, 281, 754, 266, 272, 2639, 11357, 815, 8827, 4590, 2745, 4433, 889, 7456, 784, 652, 21595, 30308, 2891, 321, 21171, 257, 4297, 0, 258, 684, 1664, 10092, 454, 3698, 10092, 9852, 19885, 2187, 825, 737, 815, 20886, 271, 585, 1775, 538, 2039, 3799, 13580, 585, 795, 538, 2039, 9852, 22708, 825, 585, 1775, 538, 2039, 9852, 2187, 1038, 737, 5157, 6012, 271, 24557, 272, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 737, 314, 271, 6012, 328, 24557, 272, 454, 825, 585, 1775, 538, 2039, 263, 272, 31599, 2187, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 737, 5157, 6012, 329, 316, 815, 737, 5157, 268, 272, 6012, 329, 27994, 330, 5157, 6012, 329, 268, 272, 2639, 825, 2132, 737, 314, 332, 268, 272, 6012, 333, 268, 272, 2639, 2745, 9638, 23411, 263, 274, 267, 273, 4917, 8931, 0, 5035, 5903, 11966, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 7407, 267, 10113, 22561, 2187, 1038, 1582, 27841, 284, 7407, 454, 1038, 1582, 12785, 284, 10113, 692, 3698, 4783, 20172, 2187, 825, 952, 3597, 2525, 14085, 610, 3597, 12785, 2525, 14085, 912, 1038, 2132, 8771, 454, 825, 533, 13700, 272, 815, 3597, 454, 825, 533, 13700, 273, 815, 3597, 12785, 454, 825, 1247, 533, 13700, 272, 256, 284, 696, 337, 273, 912, 1038, 1820, 263, 696, 337, 273, 27841, 267, 696, 337, 273, 12785, 994, 1038, 952, 533, 13700, 273, 2525, 14085, 610, 533, 13700, 273, 12785, 2525, 14085, 912, 2018, 2132, 8771, 454, 1038, 533, 13700, 272, 815, 533, 13700, 272, 12785, 454, 1038, 533, 13700, 273, 815, 533, 13700, 273, 12785, 12785, 454, 825, 2132, 6936, 692, 331, 272, 815, 5903, 11966, 263, 273, 994, 331, 273, 815, 5903, 11966, 263, 272, 267, 331, 272, 994, 331, 274, 815, 5903, 11966, 263, 275, 267, 331, 273, 994, 331, 275, 815, 5903, 11966, 263, 274, 267, 331, 274, 994, 331, 272, 12785, 815, 561, 275, 692, 2745, 263, 12860, 10857, 273, 4297, 0, 5814, 4351, 454, 5035, 8827, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 15358, 2187, 1038, 1582, 15126, 815, 15358, 454, 1038, 1582, 3820, 1400, 815, 1592, 25225, 994, 13872, 825, 1219, 19268, 4311, 2187, 1038, 1582, 15126, 815, 1592, 4311, 3820, 1400, 994, 1038, 2132, 1582, 15126, 28329, 825, 1219, 695, 28984, 4311, 2187, 1038, 10917, 815, 476, 1592, 4311, 15126, 994, 1038, 585, 1775, 538, 2039, 12759, 4311, 15126, 15892, 2018, 4894, 10983, 815, 4351, 20120, 9792, 12759, 6025, 11391, 4917, 2018, 1582, 15126, 5157, 24557, 10917, 21014, 263, 24525, 10983, 994, 1038, 2132, 1582, 15126, 28329, 333, 4548, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 2639, 28128, 815, 8827, 25225, 994, 12407, 318, 272, 815, 1073, 329, 269, 637, 564, 4590, 2745, 263, 12407, 318, 272, 994, 12407, 318, 273, 815, 1073, 329, 11075, 28984, 4590, 2745, 263, 12407, 318, 273, 994, 2745, 263, 28128, 269, 637, 564, 31156, 5035, 8827, 273, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 15358, 2187, 1038, 1582, 15126, 815, 15358, 454, 1038, 1582, 3820, 1400, 815, 1592, 25225, 994, 13872, 825, 1219, 19268, 4311, 2187, 1038, 1582, 15126, 815, 1592, 4311, 3820, 1400, 994, 1038, 2132, 1582, 15126, 28329, 825, 1219, 695, 28984, 4311, 2187, 1038, 585, 1775, 538, 2039, 12759, 4311, 15126, 15892, 2018, 23396, 10983, 815, 4351, 20120, 9792, 9217, 267, 6352, 4311, 15126, 4917, 2018, 1582, 15126, 5157, 3910, 1345, 15126, 314, 1873, 777, 10983, 24557, 1582, 15126, 314, 1873, 777, 10983, 3910, 1345, 15126, 5157, 2639, 1038, 2132, 1582, 15126, 692, 333, 4548, 273, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 28128, 273, 815, 8827, 25225, 273, 994, 12407, 318, 272, 815, 1073, 329, 273, 269, 637, 564, 4590, 2745, 263, 12407, 318, 272, 994, 12407, 318, 273, 815, 1073, 329, 273, 11075, 28984, 4590, 2745, 263, 12407, 318, 273, 994, 2745, 263, 28128, 273, 269, 637, 564, 28829, 0, 5035, 19219, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 7407, 267, 3847, 22561, 267, 2431, 22561, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 454, 3698, 1377, 318, 4650, 20172, 2187, 825, 952, 3597, 11203, 7183, 912, 1038, 20313, 815, 1496, 10174, 2639, 825, 3116, 912, 1038, 20313, 815, 11713, 825, 561, 815, 11713, 825, 1247, 20313, 11203, 1496, 14158, 1038, 561, 6910, 8443, 27161, 27841, 585, 6843, 538, 20313, 952, 6843, 256, 284, 14085, 7481, 1038, 20313, 815, 1496, 27161, 585, 1775, 538, 20313, 585, 6843, 538, 630, 328, 16000, 267, 1775, 16192, 264, 952, 6843, 2639, 825, 2132, 561, 692, 29728, 815, 19219, 263, 274, 994, 29728, 16000, 815, 19219, 263, 280, 994, 29728, 16192, 815, 19219, 263, 736, 994, 29728, 16192, 16000, 815, 19219, 263, 1428, 994, 29728, 16192, 16192, 815, 19219, 263, 278, 994, 2745, 263, 24038, 318, 4650, 6025, 872, 4297, 0, 4580, 815, 672, 1496, 454, 476, 1496, 271, 267, 272, 267, 271, 16689, 476, 1496, 271, 267, 271, 267, 272, 16689, 476, 1496, 272, 267, 272, 267, 272, 16689, 476, 1496, 271, 267, 271, 267, 271, 2639, 2639, 3698, 3014, 1993, 5158, 29033, 2187, 825, 12543, 815, 27883, 272, 267, 271, 32140, 271, 267, 272, 1070, 8987, 272, 267, 271, 32140, 271, 16427, 272, 32140, 272, 267, 272, 1070, 8987, 272, 16427, 272, 32140, 272, 16427, 272, 1070, 8987, 272, 267, 272, 22708, 825, 9343, 815, 7003, 29033, 994, 825, 9587, 815, 7003, 29033, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 4900, 2187, 1038, 585, 795, 538, 2039, 263, 3712, 8435, 2187, 2018, 2661, 318, 31371, 26092, 815, 476, 271, 454, 2018, 585, 737, 538, 12543, 912, 3546, 678, 815, 1775, 266, 330, 314, 271, 2639, 3546, 524, 815, 795, 266, 330, 314, 272, 2639, 3546, 952, 630, 337, 285, 284, 271, 543, 678, 283, 4900, 264, 543, 630, 322, 285, 284, 271, 543, 524, 283, 3712, 8435, 264, 543, 2612, 29033, 314, 337, 6012, 322, 8079, 2525, 272, 912, 7386, 2661, 318, 31371, 26092, 815, 2661, 318, 31371, 26092, 266, 272, 454, 2018, 952, 4604, 5157, 6012, 329, 316, 2525, 272, 543, 2661, 318, 31371, 26092, 283, 273, 610, 2661, 318, 31371, 26092, 285, 274, 912, 3546, 4604, 5157, 6012, 329, 316, 15871, 272, 454, 2018, 952, 4604, 5157, 6012, 329, 316, 2525, 271, 543, 2661, 318, 31371, 26092, 285, 274, 912, 3546, 4604, 5157, 6012, 329, 24557, 273, 454, 825, 585, 1775, 538, 2039, 263, 4900, 2187, 1038, 585, 795, 538, 2039, 263, 3712, 8435, 2187, 2018, 952, 4604, 5157, 6012, 329, 316, 285, 271, 912, 3546, 4604, 5157, 6012, 329, 24557, 272, 454, 2018, 3116, 912, 3546, 4604, 5157, 6012, 329, 24557, 271, 692, 18524, 1993, 5158, 29033, 994, 2745, 29033, 264, 0, 9795, 815, 1496, 454, 476, 1496, 272, 267, 273, 267, 274, 267, 275, 16689, 476, 1496, 276, 267, 272, 267, 273, 267, 274, 16689, 476, 1496, 280, 267, 276, 267, 272, 267, 273, 2639, 2639, 3698, 751, 25959, 3700, 263, 9795, 2187, 825, 585, 678, 538, 2039, 12759, 263, 9795, 15892, 1038, 585, 524, 538, 2039, 12759, 263, 9795, 314, 271, 8079, 2187, 2018, 952, 678, 285, 271, 543, 524, 285, 271, 543, 5119, 314, 337, 268, 272, 6012, 322, 268, 272, 316, 256, 284, 9795, 314, 337, 6012, 322, 14158, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 2745, 263, 974, 25959, 3700, 263, 9795, 4297, 0, 258, 1297, 17902, 423, 354, 376, 10563, 507, 377, 424, 500, 368, 424, 482, 506, 454, 5976, 1930, 3488, 15893, 17902, 12887, 337, 10807, 607, 535, 912, 825, 3515, 815, 535, 18667, 6050, 10797, 258, 1820, 263, 6050, 2020, 6050, 18622, 2091, 10797, 5976, 1930, 3488, 15893, 23631, 2091, 17902, 12887, 342, 10807, 607, 535, 912, 825, 535, 9884, 761, 3894, 263, 6050, 2020, 258, 19804, 591, 23631, 2091, 17902, 423, 350, 506, 10563, 510, 478, 28990, 354, 2336, 258, 275, 454, 258, 274, 454, 258, 273, 454, 258, 272, 454, 258, 271, 0, 3698, 536, 944, 19304, 2187, 825, 952, 1193, 2652, 1412, 12148, 12466, 1038, 2132, 6936, 454, 825, 952, 1193, 2652, 1412, 16178, 12466, 1038, 2132, 8771, 454, 0, 258, 22322, 258, 901, 568, 519, 1482, 1966, 607, 834, 291, 2700, 26057, 594, 257, 4849, 602, 3079, 540, 454, 258, 1152, 2348, 547, 4308, 609, 9352, 4054, 267, 519, 7084, 12134, 596, 547, 454, 258, 1711, 10297, 585, 782, 3529, 11708, 563, 16482, 258, 769, 519, 20125, 1790, 987, 522, 20432, 4330, 538, 12448, 7108, 6199, 781, 454, 258, 5967, 267, 1142, 6843, 814, 513, 6003, 267, 799, 568, 513, 1592, 540, 930, 824, 454, 258, 9136, 538, 519, 3060, 543, 741, 3845, 547, 891, 9136, 269, 476, 1452, 8638, 454, 258, 723, 519, 3959, 602, 454, 16482, 258, 476, 630, 272, 264, 585, 1022, 6292, 540, 9136, 630, 343, 11971, 264, 538, 519, 3060, 267, 741, 8638, 786, 454, 258, 476, 723, 693, 2547, 835, 6843, 1990, 538, 1455, 454, 16482, 258, 476, 630, 273, 264, 519, 20125, 2619, 689, 1535, 547, 586, 786, 979, 998, 1990, 563, 258, 3097, 258, 9717, 513, 3113, 717, 602, 568, 513, 3529, 267, 840, 15263, 519, 3113, 547, 454, 258, 1711, 971, 10297, 585, 1142, 6843, 269, 476, 8074, 602, 519, 2450, 540, 519, 1592, 538, 454, 258, 1142, 6003, 1058, 711, 581, 3677, 982, 2845, 562, 585, 513, 3113, 540, 2450, 562, 563, 258, 692, 16482, 258, 1711, 9078, 629, 1564, 3217, 538, 513, 3529, 543, 7024, 513, 8675, 267, 11837, 1142, 454, 258, 6843, 547, 922, 6003, 454, 16482, 258, 513, 6003, 568, 513, 8675, 11837, 1776, 6843, 543, 519, 3845, 547, 454, 258, 602, 6843, 454, 16482, 5228, 5299, 1104, 2620, 32476, 692, 3698, 1711, 9078, 629, 1564, 6025, 872, 294, 2187, 8931, 825, 1948, 8073, 513, 5299, 547, 2061, 4657, 2450, 540, 3312, 3113, 563, 825, 3529, 294, 32476, 815, 2620, 32476, 6025, 872, 294, 994, 825, 10297, 815, 31460, 8931, 825, 1247, 7003, 6025, 872, 294, 32476, 264, 3436, 476, 271, 912, 13872, 1038, 1948, 17292, 513, 4448, 3113, 543, 1265, 922, 4099, 563, 1038, 4448, 294, 815, 2620, 32476, 6600, 785, 318, 8588, 14682, 1429, 6025, 872, 294, 32476, 4917, 1038, 524, 13700, 815, 4099, 17045, 263, 8588, 294, 994, 13872, 1038, 1948, 4855, 519, 10297, 689, 602, 4099, 269, 8585, 613, 609, 4540, 10297, 563, 1038, 1007, 9078, 629, 1564, 815, 1205, 9078, 629, 1564, 263, 8588, 294, 267, 524, 13700, 994, 1038, 10297, 815, 19467, 9078, 629, 1564, 10857, 629, 1564, 267, 1007, 9078, 629, 1564, 994, 8931, 1038, 1948, 17179, 519, 4099, 689, 519, 3113, 563, 1038, 585, 562, 1962, 538, 4448, 294, 314, 551, 337, 14158, 2018, 2736, 9078, 1074, 6025, 872, 294, 32476, 267, 524, 13700, 267, 562, 1962, 994, 1038, 1642, 3529, 294, 32476, 314, 551, 337, 2639, 13872, 1038, 1948, 19244, 519, 8520, 2394, 782, 9136, 723, 1044, 10272, 543, 6569, 563, 13872, 825, 2132, 10297, 692, 3698, 1265, 318, 8588, 14682, 1429, 31855, 2187, 8931, 825, 1948, 17292, 1022, 3597, 563, 825, 3597, 815, 717, 269, 12399, 3890, 314, 271, 316, 3097, 8931, 825, 1948, 2422, 645, 12396, 547, 29906, 519, 3113, 267, 4358, 693, 602, 3597, 563, 825, 4448, 294, 815, 2715, 10174, 281, 717, 314, 10174, 316, 8679, 825, 1930, 8217, 815, 1496, 10174, 2639, 825, 1247, 7003, 263, 13449, 8217, 264, 3436, 476, 271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5930, 21738, 1382, 1895, 27180, 1007, 6419, 3889, 585, 838, 842, 16361, 3156, 454, 1556, 269, 1015, 269, 1001, 277, 1923, 29312, 717, 9790, 6199, 268, 26536, 28059, 6301, 345, 454, 19575, 571, 9724, 22795, 723, 5189, 1007, 7399, 538, 23678, 1324, 16600, 325, 710, 3889, 267, 543, 3744, 616, 1631, 849, 14236, 875, 547, 946, 873, 547, 1696, 577, 2890, 560, 23461, 883, 6094, 4837, 269, 1703, 616, 2009, 3156, 538, 12642, 630, 18350, 593, 513, 13863, 264, 543, 2523, 538, 11418, 543, 519, 7082, 5823, 267, 1141, 1390, 1719, 814, 1044, 3254, 563, 1607, 1007, 1505, 729, 4535, 540, 513, 9670, 7613, 281, 23735, 11868, 4837, 538, 513, 1880, 1259, 609, 606, 16600, 9724, 8955, 814, 519, 1198, 540, 1818, 519, 4837, 909, 547, 513, 2483, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 3047, 7070, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 6713, 7177, 0, 1103, 513, 4579, 16516, 547, 2196, 2394, 476, 1001, 278, 267, 930, 476, 25396, 6467, 20610, 543, 936, 476, 280, 267, 1822, 15202, 2609, 616, 547, 581, 18175, 24612, 538, 1899, 609, 519, 3864, 21541, 6513, 3590, 630, 4953, 5425, 1916, 5415, 982, 3368, 540, 519, 3515, 728, 5907, 4559, 13859, 616, 547, 581, 13324, 14311, 676, 3859, 2281, 543, 786, 4061, 581, 1648, 1582, 1606, 11211, 269, 22702, 547, 606, 10380, 540, 6671, 3435, 267, 713, 786, 1267, 538, 1379, 9806, 585, 590, 17668, 540, 936, 476, 25616, 267, 1822, 4893, 578, 3430, 3620, 2293, 513, 1032, 269, 634, 1931, 568, 4502, 513, 2698, 540, 24843, 10219, 2929, 543, 849, 6227, 1489, 585, 519, 8704, 15202, 1949, 936, 513, 1974, 540, 476, 1839, 1296, 563, 307, 1778, 1852, 1949, 7110, 519, 7298, 6786, 1031, 547, 1217, 5721, 10256, 2436, 789, 666, 8399, 543, 519, 3432, 693, 799, 789, 949, 2951, 269, 6270, 1949, 849, 10141, 6786, 676, 5925, 543, 267, 952, 519, 9920, 1281, 711, 2746, 267, 8850, 4019, 519, 26039, 540, 519, 5721, 269, 1703, 616, 4867, 1472, 476, 736, 22424, 26702, 5721, 1852, 1949, 538, 946, 593, 2342, 781, 16456, 338, 269, 1306, 513, 12343, 267, 21525, 582, 1161, 1419, 723, 547, 581, 23564, 693, 10665, 269, 634, 21180, 5425, 5932, 513, 3044, 543, 568, 1031, 585, 782, 1007, 19698, 269, 7102, 18175, 10232, 540, 4540, 3950, 543, 14884, 616, 5645, 856, 607, 2838, 563, 293, 3166, 609, 519, 991, 547, 22010, 922, 4540, 15202, 1949, 267, 590, 17668, 1904, 539, 547, 6467, 547, 21180, 5425, 269, 2290, 2101, 4161, 568, 547, 5372, 4540, 5721, 1852, 1949, 1510, 513, 1379, 3761, 269, 1452, 4196, 547, 10141, 513, 2698, 540, 1614, 6786, 2443, 834, 7883, 2437, 834, 1805, 641, 2437, 543, 834, 23219, 940, 257, 2443, 547, 519, 5721, 3842, 6419, 15632, 269, 1677, 4194, 713, 1966, 267, 13961, 655, 839, 814, 2919, 513, 3515, 728, 5907, 1770, 9280, 609, 3859, 2281, 602, 5352, 6190, 1648, 547, 10141, 1344, 563, 1607, 3070, 711, 1152, 6971, 2949, 5201, 4616, 855, 849, 17990, 519, 1942, 540, 16459, 15791, 547, 936, 476, 276, 267, 1822, 15202, 2609, 269, 769, 2127, 1141, 811, 1950, 1239, 267, 971, 607, 3432, 1344, 267, 814, 547, 581, 10299, 267, 6671, 3515, 728, 5907, 4559, 723, 1044, 8704, 269, 634, 22010, 786, 849, 2936, 513, 3044, 585, 519, 6467, 613, 541, 8704, 538, 476, 25396, 6467, 20610, 267, 1141, 1614, 5481, 540, 2029, 616, 538, 946, 563, 7804, 269, 7439, 6975, 1306, 7770, 321, 1066, 1676, 1923, 13961, 655, 839, 16743, 21158, 454, 31880, 2803, 1417, 554, 860, 1429, 344, 281, 5455, 2056, 519, 1158, 540, 6211, 9196, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 12548, 3557, 2160, 454, 12441, 596, 917, 602, 18342, 8022, 568, 606, 1898, 851, 540, 16669, 5478, 888, 1839, 269, 1015, 269, 1001, 277, 1923, 4173, 30906, 32201, 2775, 717, 3387, 295, 454, 19575, 571, 9724, 22795, 723, 5189, 1007, 7399, 538, 23678, 1324, 16600, 325, 710, 3889, 267, 543, 3744, 616, 1631, 849, 14236, 875, 547, 946, 873, 547, 1696, 577, 2890, 560, 23461, 883, 6094, 4837, 269, 1703, 616, 2009, 3156, 538, 12642, 630, 18350, 593, 513, 13863, 264, 543, 2523, 538, 11418, 543, 519, 7082, 5823, 267, 1141, 1390, 1719, 814, 1044, 3254, 563, 1607, 1007, 1505, 729, 4535, 540, 513, 9670, 7613, 281, 23735, 11868, 4837, 538, 513, 1880, 1259, 609, 606, 16600, 9724, 8955, 814, 519, 1198, 540, 1818, 519, 4837, 909, 547, 513, 2483, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 3047, 7070, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 6713, 7177, 0, 6124, 8111, 26367, 13661, 1734, 4039, 6636, 540, 16661, 21023, 687, 454, 306, 14954, 523, 779, 1007, 2706, 26367, 585, 4365, 20925, 786, 7494, 2087, 12605, 10727, 269, 1323, 8476, 543, 3532, 12985, 10189, 267, 3358, 2523, 585, 519, 2115, 540, 519, 16528, 25561, 1670, 543, 10281, 25233, 4659, 267, 15382, 26980, 267, 568, 1631, 8704, 693, 519, 2817, 8111, 26367, 4741, 267, 715, 17092, 267, 521, 1243, 693, 13017, 7238, 4771, 2160, 563, 763, 1007, 2780, 1062, 267, 1572, 2349, 4869, 538, 8956, 540, 922, 17500, 1922, 770, 4393, 267, 18271, 1007, 12985, 2409, 547, 9472, 2244, 543, 4262, 4365, 2175, 269, 634, 4365, 7422, 602, 1683, 519, 3403, 1239, 585, 32065, 303, 267, 10230, 4365, 11236, 267, 616, 8246, 811, 3927, 982, 538, 519, 2250, 269, 634, 20925, 2203, 568, 8476, 609, 513, 942, 10155, 3815, 602, 4188, 338, 2250, 543, 1459, 7422, 547, 18783, 519, 4365, 3510, 609, 3152, 8856, 563, 2108, 18719, 1386, 11837, 568, 513, 10421, 585, 4824, 3589, 1464, 267, 2523, 950, 649, 616, 3843, 547, 18783, 519, 1646, 540, 11626, 1244, 11306, 1079, 2395, 6619, 5608, 6941, 700, 1513, 670, 7564, 1375, 5658, 267, 14368, 6048, 693, 15382, 26980, 563, 19102, 2084, 569, 10427, 26398, 3747, 2147, 804, 719, 538, 4393, 1379, 269, 634, 4365, 20925, 1761, 568, 24009, 676, 1533, 6361, 7308, 1148, 4393, 12588, 267, 6913, 538, 2490, 998, 4359, 8800, 543, 3301, 2029, 269, 634, 1007, 2780, 1062, 538, 13017, 7238, 4771, 568, 1500, 909, 540, 513, 12440, 540, 6252, 21932, 269, 901, 6189, 4267, 11593, 547, 519, 3665, 7569, 585, 10398, 601, 1456, 1239, 543, 5528, 547, 519, 12985, 4559, 563, 10527, 4365, 1790, 9438, 532, 2706, 26367, 568, 3483, 32472, 269, 1849, 13831, 19383, 723, 2097, 547, 519, 2062, 1317, 789, 1683, 3532, 543, 2500, 4393, 7207, 693, 513, 5266, 1970, 3902, 269, 634, 2817, 8111, 26367, 4741, 568, 2907, 6444, 607, 513, 2062, 14725, 1676, 538, 12440, 681, 22936, 543, 6388, 585, 4365, 20925, 269, 901, 5969, 12967, 4365, 9472, 2504, 1062, 568, 5812, 609, 938, 5692, 547, 1683, 519, 14368, 1670, 2146, 609, 18368, 8013, 3435, 5608, 3081, 513, 20938, 570, 3073, 5500, 674, 1314, 26408, 267, 1788, 9614, 693, 715, 17092, 563, 763, 2349, 4869, 2780, 1062, 729, 27358, 676, 715, 17092, 6791, 538, 9316, 609, 15382, 26980, 269, 634, 4365, 1790, 9438, 532, 2706, 26367, 568, 1175, 835, 1383, 540, 681, 22936, 543, 10512, 5698, 1063, 519, 1079, 3906, 269, 8693, 9781, 568, 1776, 563, 763, 21753, 729, 8655, 547, 13017, 7238, 4771, 2861, 11628, 8950, 5303, 267, 519, 6109, 3743, 585, 4259, 909, 715, 5425, 338, 3933, 14663, 2706, 26367, 799, 2394, 5063, 729, 13785, 779, 1034, 3532, 2780, 1062, 269, 968, 1607, 1007, 10243, 25495, 20554, 338, 3056, 2990, 1851, 14273, 540, 20248, 1950, 2780, 1949, 5608, 3081, 10548, 714, 2098, 663, 267, 5518, 693, 20554, 563, 763, 2349, 4869, 1062, 568, 909, 543, 4881, 538, 1449, 7154, 593, 715, 17092, 22402, 543, 786, 6521, 883, 2407, 5106, 693, 15382, 26980, 2663, 713, 5614, 269, 14520, 12605, 8255, 616, 1500, 3232, 267, 2185, 585, 4365, 543, 1079, 585, 17535, 2175, 269, 634, 1007, 4365, 20925, 2706, 26367, 568, 3670, 19507, 5488, 982, 922, 31317, 267, 1631, 21737, 3039, 2250, 999, 563, 289, 2993, 868, 568, 513, 12380, 12641, 13831, 540, 476, 2568, 12985, 13763, 267, 1142, 540, 799, 616, 9280, 609, 1079, 476, 274, 269, 273, 717, 27004, 615, 16379, 27311, 2473, 324, 517, 21932, 543, 513, 476, 273, 8566, 580, 17879, 974, 1292, 4859, 267, 799, 8591, 909, 547, 476, 6344, 6252, 21932, 543, 476, 6344, 8566, 580, 17879, 974, 1292, 4859, 4390, 269, 634, 7811, 8445, 2773, 568, 476, 278, 6924, 717, 580, 2378, 331, 641, 270, 16149, 630, 271, 269, 278, 6924, 18265, 13735, 15304, 4238, 829, 2034, 1040, 634, 13763, 616, 10562, 609, 5606, 514, 756, 663, 2029, 689, 631, 749, 534, 2135, 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 ]
[ 5011, 676, 513, 2942, 1297, 563, 278, 269, 23657, 2999, 610, 3436, 3340, 606, 1930, 5858, 543, 568, 711, 513, 3070, 563, 279, 269, 1879, 2542, 689, 519, 4756, 267, 1447, 982, 1797, 547, 12094, 547, 519, 2451, 454, 280, 269, 1677, 2638, 513, 3070, 267, 11690, 519, 1297, 883, 519, 3312, 1966, 267, 543, 1287, 14458, 1142, 2427, 676, 1210, 623, 4932, 291, 3008, 563, 1015, 269, 1879, 10992, 513, 3070, 267, 952, 621, 2501, 856, 547, 581, 513, 3020, 3948, 1287, 519, 3070, 4959, 513, 3070, 547, 519, 3830, 610, 8635, 563, 2252, 596, 1131, 899, 547, 2259, 930, 8262, 267, 19196, 1746, 24438, 12307, 610, 769, 16029, 2572, 267, 946, 519, 1739, 3896, 585, 2259, 2042, 543, 3435, 281, 0, 30106, 2586, 689, 5291, 2517, 4178, 269, 974, 25393, 16691, 16896, 2008, 1692, 1419, 1281, 713, 4755, 286, 3657, 782, 3536, 693, 1981, 888, 8310, 1032, 5125, 781, 18521, 615, 747, 807, 19546, 12176, 729, 2404, 609, 7938, 14414, 21167, 28667, 543, 3361, 4049, 1426, 15464, 630, 10175, 7972, 264, 538, 7366, 2066, 2342, 630, 289, 6195, 5240, 267, 476, 1789, 270, 4962, 270, 1556, 1040, 10430, 781, 1849, 739, 5090, 1756, 7762, 6081, 636, 12176, 3361, 1079, 547, 581, 6413, 2213, 1813, 547, 519, 4049, 2068, 15636, 592, 1143, 267, 602, 729, 2404, 609, 13572, 30660, 540, 737, 768, 320, 14036, 630, 289, 6195, 5240, 267, 476, 1691, 270, 1556, 270, 1556, 1040, 7831, 3018, 513, 27187, 1007, 1636, 12176, 814, 3361, 835, 2669, 543, 814, 1044, 5532, 547, 1216, 17745, 976, 630, 289, 6195, 5240, 267, 476, 6349, 270, 6349, 270, 1321, 1916, 18814, 547, 519, 5177, 1104, 532, 513, 1804, 1297, 540, 3536, 689, 13383, 267, 891, 1426, 15464, 2665, 666, 3262, 6385, 998, 519, 2146, 269, 19007, 1804, 1412, 12712, 330, 262, 5666, 540, 26437, 3536, 849, 4679, 519, 4220, 269, 1924, 267, 519, 2693, 26372, 540, 17973, 10024, 519, 1426, 3761, 5832, 568, 1164, 563, 3719, 1810, 1405, 581, 18901, 547, 3548, 1022, 1426, 1586, 267, 519, 5354, 540, 891, 17973, 616, 7166, 1282, 5986, 630, 324, 3052, 269, 14132, 543, 9269, 264, 8754, 1034, 10108, 2049, 950, 2901, 540, 891, 616, 896, 322, 10541, 610, 13572, 609, 6151, 5779, 563, 763, 15636, 592, 1143, 2013, 729, 1813, 547, 519, 1826, 540, 24059, 1459, 269, 1849, 739, 5090, 1756, 7762, 6081, 636, 7472, 513, 14686, 25560, 630, 17763, 2581, 1070, 713, 25560, 786, 1287, 2611, 538, 519, 1426, 1256, 952, 519, 11248, 10523, 269, 901, 25560, 568, 865, 14686, 1317, 621, 6285, 519, 8401, 1062, 267, 3123, 23324, 5075, 543, 1507, 9424, 666, 581, 14686, 630, 272, 326, 1223, 6146, 519, 2898, 540, 519, 5177, 2551, 1916, 1103, 2474, 540, 4829, 543, 5388, 267, 3274, 11067, 1354, 5986, 27160, 908, 568, 2356, 782, 602, 568, 2838, 563, 7093, 1790, 871, 3042, 1426, 267, 3226, 1426, 602, 1281, 711, 2154, 8022, 267, 568, 1141, 519, 2101, 1966, 6013, 269, 1717, 267, 891, 1412, 2181, 1790, 871, 3042, 262, 2010, 540, 1426, 15464, 10355, 2049, 563, 1805, 2774, 3354, 22651, 616, 1459, 538, 1426, 5663, 547, 2061, 18117, 1670, 12526, 543, 5574, 971, 607, 24421, 539, 5907, 4610, 267, 3002, 543, 8299, 571, 8686, 14489, 630, 10013, 264, 2126, 616, 1031, 585, 4712, 3562, 3887, 520, 3536, 563, 306, 3263, 616, 5781, 13761, 585, 12526, 543, 1412, 25988, 15464, 1981, 8339, 634, 2657, 10466, 10837, 630, 295, 5183, 264, 723, 513, 1305, 540, 4808, 602, 3302, 999, 1590, 7048, 593, 267, 799, 2488, 519, 5934, 2698, 1297, 4847, 676, 1142, 11248, 630, 295, 5183, 13832, 267, 476, 1220, 279, 1916, 4415, 782, 891, 3800, 2322, 538, 1747, 547, 2061, 1426, 15464, 267, 538, 606, 4998, 1158, 621, 1058, 711, 4755, 269, 1717, 267, 519, 1426, 9755, 666, 1152, 798, 865, 1454, 910, 789, 1590, 7048, 593, 519, 1857, 11721, 797, 17752, 547, 798, 519, 1964, 563, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 270, 8234, 268, 12739, 276, 6078, 10602, 27187, 543, 1216, 17745, 976, 630, 17739, 539, 476, 277, 270, 273, 270, 1321, 994, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 11320, 5454, 3887, 2202, 268, 13670, 280, 2767, 4792, 661, 31815, 328, 12176, 476, 1001, 272, 630, 17739, 539, 476, 277, 270, 273, 270, 1321, 994, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 270, 4157, 1606, 20799, 1633, 268, 14991, 15782, 1015, 1849, 739, 5090, 1756, 7762, 6081, 636, 543, 918, 768, 320, 14036, 630, 17739, 539, 476, 277, 270, 273, 270, 1321, 994, 10674, 2517, 4178, 19544, 11985, 3820, 16896, 270, 19986, 322, 26260, 5183, 19986, 17572, 26260, 5183, 19986, 318, 290, 270, 15686, 5392, 275, 278, 5655, 21327, 274, 670, 5183, 13832, 585, 519, 18117, 1670, 2298, 540, 930, 4712, 3562, 3887, 520, 3536, 25541, 693, 519, 1448, 540, 9042, 630, 1220, 271, 264, 0, 24145, 2329, 15789, 1280, 2659, 10871, 25280, 2026, 454, 11764, 1067, 7335, 547, 5901, 5753, 6298, 26052, 13115, 571, 1188, 4534, 663, 17949, 532, 621, 2336, 2467, 568, 2312, 2963, 602, 519, 4832, 2736, 689, 1153, 2164, 538, 4081, 1394, 1606, 331, 4575, 585, 1082, 1053, 269, 5269, 2386, 707, 1126, 568, 4509, 1010, 7924, 1377, 676, 8716, 4832, 2542, 269, 6423, 519, 2337, 593, 519, 2475, 302, 292, 3896, 563, 292, 11915, 3427, 623, 14011, 3401, 2336, 23763, 513, 1982, 602, 666, 948, 4497, 3237, 543, 2146, 2818, 547, 948, 707, 1153, 286, 918, 20784, 3367, 4653, 666, 948, 713, 4755, 269, 3367, 4653, 568, 513, 1164, 1764, 7924, 1982, 602, 8424, 10010, 3988, 609, 15321, 21493, 269, 4256, 5692, 568, 547, 1921, 3885, 267, 2199, 4213, 267, 3906, 267, 543, 3909, 2516, 547, 741, 2199, 1153, 547, 1118, 513, 3017, 538, 741, 2146, 269, 634, 3483, 540, 3367, 4653, 568, 547, 948, 1053, 1831, 21295, 538, 2542, 269, 3367, 4653, 1568, 2047, 609, 589, 1067, 328, 17357, 1186, 538, 519, 3506, 269, 589, 1067, 328, 17357, 1186, 14721, 8651, 519, 1982, 267, 3096, 519, 5254, 2752, 23468, 1982, 547, 5721, 13538, 267, 2445, 1239, 267, 543, 2327, 2298, 543, 11007, 269, 918, 20784, 5932, 4656, 267, 16461, 1080, 21493, 267, 2488, 15314, 543, 16873, 609, 932, 32111, 476, 276, 2244, 902, 543, 7924, 2621, 269, 16890, 945, 2671, 938, 3853, 1331, 267, 2136, 10158, 267, 519, 18096, 3557, 8433, 540, 4065, 267, 623, 14011, 267, 543, 18370, 704, 640, 476, 1708, 271, 269, 25175, 5461, 538, 1565, 811, 827, 519, 1982, 666, 3643, 8940, 18667, 339, 3736, 2593, 563, 2026, 513, 7649, 609, 3367, 4653, 267, 18370, 704, 640, 476, 1708, 271, 267, 543, 519, 17135, 781, 623, 19781, 3804, 267, 18096, 623, 14011, 7512, 2199, 4559, 547, 948, 15313, 519, 13538, 2556, 547, 2322, 519, 5254, 2752, 23468, 1982, 547, 960, 538, 707, 3506, 563, 13014, 2542, 513, 3232, 2534, 602, 568, 1187, 585, 519, 2898, 1920, 2336, 16100, 585, 513, 1982, 602, 17015, 519, 2115, 540, 707, 1053, 1851, 519, 1082, 602, 616, 2139, 538, 938, 1378, 2950, 563, 8512, 1676, 609, 519, 2146, 547, 10069, 1125, 707, 2621, 2336, 2080, 616, 513, 1906, 6402, 602, 1522, 948, 596, 1711, 513, 1390, 7924, 2680, 693, 707, 1153, 269, 8437, 593, 519, 4544, 2012, 610, 8360, 547, 3095, 547, 891, 2200, 912, 268, 4855, 513, 1433, 602, 568, 1175, 1318, 585, 707, 1126, 4534, 22858, 850, 7335, 700, 1235, 454, 268, 9977, 531, 12833, 9876, 618, 17402, 3718, 10914, 910, 22995, 312, 308, 454, 268, 9906, 15397, 1681, 19793, 22777, 585, 7335, 630, 4306, 2752, 994, 268, 3367, 609, 513, 4132, 910, 17135, 781, 8189, 593, 17402, 454, 268, 3367, 4653, 910, 2677, 699, 339, 5004, 15278, 454, 268, 8230, 12275, 742, 10003, 547, 11773, 910, 14288, 1032, 454, 268, 3367, 585, 519, 16680, 30180, 11034, 910, 5239, 476, 275, 2336, 268, 7335, 3057, 25070, 910, 918, 308, 3633, 910, 8734, 5937, 1815, 454, 268, 2142, 513, 12243, 26761, 281, 3367, 256, 910, 18096, 27227, 281, 5988, 5336, 1105, 454, 268, 918, 308, 3633, 16316, 8479, 19536, 543, 16503, 21116, 2552, 652, 910, 918, 308, 3633, 910, 4924, 5025, 1440, 559, 454, 268, 3367, 21661, 3013, 910, 4728, 476, 272, 630, 7804, 269, 1530, 1380, 262, 17510, 1485, 994, 268, 29100, 18421, 543, 3367, 910, 4989, 476, 1321, 630, 289, 1197, 569, 7581, 776, 781, 17510, 1485, 994, 268, 5753, 781, 3883, 10432, 910, 2904, 1724, 268, 866, 267, 476, 1001, 274, 0, 2026, 649, 5143, 596, 827, 5063, 267, 772, 2529, 269, 6808, 28896, 2799, 538, 519, 1101, 10116, 540, 476, 1001, 273, 3379, 547, 519, 1032, 1354, 269, 3502, 19599, 267, 31355, 7972, 2408, 547, 581, 593, 519, 4473, 607, 1134, 269, 634, 1034, 2487, 1239, 2139, 267, 689, 476, 1001, 271, 267, 2982, 602, 31355, 28896, 9782, 476, 275, 2600, 1032, 3562, 4458, 563, 6097, 547, 519, 2817, 23681, 29853, 8881, 10029, 267, 476, 3583, 267, 1822, 19516, 20379, 941, 13676, 538, 1286, 10913, 538, 476, 1001, 271, 267, 543, 476, 275, 267, 18231, 1004, 19516, 20379, 11124, 14603, 7063, 269, 2334, 781, 606, 2333, 540, 476, 275, 2600, 936, 476, 1220, 280, 2338, 269, 3371, 616, 513, 1906, 824, 865, 828, 532, 7194, 5950, 676, 519, 19760, 4811, 288, 563, 1892, 476, 5325, 2600, 540, 519, 14603, 31355, 26301, 3238, 4568, 267, 799, 729, 10057, 2901, 676, 519, 9920, 610, 676, 519, 31355, 563, 1892, 476, 3445, 2600, 540, 519, 14686, 10913, 3576, 1747, 950, 519, 4365, 729, 2312, 269, 1924, 267, 835, 1223, 9959, 602, 1651, 2211, 4365, 3085, 1405, 1404, 513, 5458, 3815, 538, 31355, 7972, 563, 1892, 5565, 22188, 2600, 540, 519, 9601, 941, 5256, 563, 1892, 476, 6924, 2600, 540, 519, 26301, 5949, 693, 3781, 267, 1247, 827, 3368, 7018, 593, 513, 11016, 267, 14349, 610, 10732, 563, 1892, 476, 3199, 2600, 540, 519, 7972, 5949, 950, 19516, 20379, 941, 15385, 693, 1875, 17942, 21827, 563, 1432, 666, 649, 1451, 689, 891, 2338, 286, 4595, 1034, 540, 519, 14603, 26301, 7018, 693, 1875, 17942, 21827, 267, 621, 949, 581, 2922, 547, 8263, 602, 10256, 941, 9575, 1055, 9856, 269, 769, 930, 2665, 267, 789, 949, 711, 723, 1044, 9878, 3007, 282, 538, 1866, 267, 519, 19516, 20379, 949, 723, 1044, 26531, 676, 741, 1591, 10746, 1247, 6972, 267, 799, 568, 513, 3395, 1966, 563, 2690, 519, 5301, 540, 519, 1353, 267, 513, 31355, 729, 3989, 607, 4896, 945, 729, 9361, 267, 6972, 267, 4881, 267, 28185, 3101, 610, 19482, 563, 13126, 281, 23711, 267, 834, 303, 539, 652, 6929, 28896, 909, 476, 275, 2600, 538, 476, 1001, 271, 282, 1875, 17942, 7611, 3444, 902, 1034, 14686, 2437, 13343, 4446, 32200, 267, 4119, 269, 476, 278, 267, 476, 1001, 273, 0, 8448, 2139, 12043, 912, 19185, 585, 606, 6514, 5299, 888, 2252, 596, 616, 5461, 538, 519, 2140, 585, 707, 1576, 649, 666, 2015, 5356, 606, 6514, 5299, 269, 1677, 11578, 707, 1719, 5225, 3346, 18078, 17106, 11333, 3820, 3246, 3877, 540, 519, 1576, 596, 616, 3450, 563, 1103, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 267, 519, 2823, 2275, 885, 540, 14913, 5607, 941, 588, 1645, 12406, 585, 3309, 2516, 540, 8723, 4961, 547, 4603, 609, 29678, 267, 607, 513, 8375, 3567, 543, 1977, 16851, 13934, 519, 2392, 7631, 766, 540, 3864, 23693, 1310, 519, 3689, 2622, 2782, 269, 5637, 20404, 543, 17137, 5129, 513, 11358, 1909, 538, 5935, 18523, 2528, 269, 25021, 2476, 689, 513, 28929, 2542, 540, 519, 1974, 267, 2672, 6931, 11066, 7710, 6106, 540, 3444, 14426, 5872, 538, 1585, 21384, 281, 519, 4683, 3710, 1604, 267, 18523, 12205, 267, 1820, 2923, 267, 2069, 267, 2442, 2528, 543, 519, 11944, 540, 519, 2413, 4807, 269, 2755, 519, 1433, 6212, 593, 6755, 836, 267, 681, 836, 3019, 543, 10854, 330, 758, 910, 1614, 4872, 4535, 9624, 3703, 7269, 547, 519, 3148, 910, 621, 7710, 4448, 2833, 2066, 5607, 543, 538, 7489, 7214, 11700, 2314, 538, 2342, 269, 15328, 332, 641, 13457, 2283, 4850, 941, 16094, 7318, 538, 519, 5736, 540, 2022, 12258, 11102, 18541, 267, 855, 616, 18460, 513, 32134, 538, 14913, 5607, 781, 3540, 2486, 543, 3860, 1362, 2221, 19403, 811, 454, 268, 4400, 7547, 519, 1909, 540, 519, 14421, 641, 13457, 2823, 2749, 538, 7489, 29678, 454, 268, 10312, 525, 593, 519, 1909, 540, 20495, 2950, 267, 971, 607, 20404, 543, 2413, 6690, 267, 4171, 2984, 616, 711, 1419, 5143, 454, 268, 30216, 513, 2542, 540, 14421, 641, 13457 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3436, 630, 10674, 2517, 2889, 915, 324, 17526, 14492, 3738, 543, 693, 2547, 594, 786, 711, 581, 3056, 538, 519, 454, 9563, 23645, 3436, 1592, 8230, 344, 753, 945, 723, 12193, 519, 1034, 2042, 267, 1152, 476, 7367, 267, 519, 2063, 942, 594, 454, 9563, 23645, 3436, 6743, 563, 9563, 23645, 3436, 1656, 547, 12448, 630, 3873, 1862, 596, 616, 693, 476, 1704, 16532, 476, 596, 2307, 513, 2243, 543, 1287, 454, 9563, 23645, 3436, 14897, 8627, 670, 7825, 7825, 267, 543, 1141, 568, 631, 10730, 286, 888, 9563, 23645, 28825, 9563, 23645, 3436, 4258, 619, 256, 2336, 9563, 23645, 3436, 20943, 3578, 807, 2483, 9563, 23645, 28825, 9563, 23645, 28825, 9563, 23645, 28825, 9563, 23645, 3436, 2201, 9045, 267, 476, 1220, 279, 268, 5881, 268, 1321, 693, 476, 5881, 281, 1626, 910, 271, 3583, 271, 267, 2098, 778, 7559, 631, 269, 681, 1872, 784, 334, 5206, 912, 9563, 23645, 23645, 901, 4757, 568, 689, 513, 18451, 31583, 268, 651, 9408, 686, 828, 547, 824, 32224, 538, 331, 24851, 596, 281, 994, 9563, 23645, 23645, 3733, 3070, 547, 25586, 1948, 1321, 8255, 538, 1447, 982, 476, 272, 8792, 563, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 2913, 721, 1592, 519, 2188, 540, 519, 1101, 5216, 6906, 2338, 912, 9563, 23645, 23645, 476, 476, 272, 281, 476, 272, 454, 9563, 23645, 23645, 476, 476, 274, 281, 476, 272, 267, 274, 454, 9563, 23645, 23645, 476, 476, 277, 281, 476, 272, 267, 273, 267, 274, 267, 277, 454, 9563, 23645, 23645, 476, 1015, 281, 476, 272, 267, 273, 267, 276, 267, 1015, 454, 9563, 23645, 23645, 476, 1428, 281, 476, 272, 267, 274, 267, 276, 267, 1428, 454, 9563, 23645, 23645, 476, 2641, 281, 476, 272, 267, 274, 267, 278, 267, 2641, 454, 9563, 23645, 23645, 476, 2764, 281, 476, 272, 267, 273, 267, 275, 267, 278, 267, 1691, 267, 2764, 454, 9563, 23645, 23645, 476, 3607, 281, 476, 272, 267, 273, 267, 274, 267, 275, 267, 277, 267, 279, 267, 280, 267, 1321, 267, 1240, 267, 3607, 454, 9563, 23645, 23645, 8074, 519, 2338, 602, 616, 896, 20040, 538, 1142, 5311, 269, 901, 568, 519, 3368, 1259, 1448, 563, 9563, 23645, 23645, 513, 264, 476, 1403, 596, 7941, 519, 6906, 1297, 676, 519, 1101, 1297, 602, 568, 896, 20040, 519, 1267, 786, 581, 3152, 982, 519, 27708, 563, 9563, 23645, 23645, 536, 994, 9563, 23645, 23645, 2201, 519, 824, 1688, 952, 596, 7941, 519, 6906, 1297, 676, 519, 2034, 454, 9563, 23645, 23645, 1297, 602, 568, 896, 20040, 519, 1267, 786, 581, 1447, 982, 519, 27708, 563, 9563, 23645, 23645, 524, 994, 9563, 23645, 23645, 634, 6906, 1297, 476, 3607, 814, 1152, 835, 1297, 693, 519, 8998, 540, 519, 454, 9563, 23645, 23645, 5311, 267, 1317, 602, 8998, 1297, 568, 519, 4009, 3597, 540, 519, 6906, 454, 9563, 23645, 23645, 1297, 476, 3607, 563, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 769, 454, 9563, 23645, 23645, 2665, 513, 264, 543, 536, 264, 952, 596, 4941, 547, 917, 519, 2698, 1297, 540, 16975, 267, 596, 454, 9563, 23645, 23645, 1413, 585, 519, 2990, 540, 519, 1297, 896, 20040, 607, 4330, 538, 536, 1070, 1287, 454, 9563, 23645, 23645, 10208, 476, 272, 689, 621, 267, 1287, 9062, 621, 676, 476, 273, 269, 1280, 1383, 267, 585, 6906, 454, 9563, 23645, 23645, 1297, 476, 2764, 267, 1871, 476, 278, 568, 538, 2990, 476, 275, 269, 1924, 630, 275, 268, 272, 264, 2608, 476, 273, 815, 476, 277, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 769, 454, 9563, 23645, 23645, 2665, 524, 264, 952, 596, 4941, 547, 917, 519, 2698, 1297, 540, 16975, 267, 596, 1413, 454, 9563, 23645, 23645, 585, 519, 2990, 540, 519, 4099, 1297, 896, 20040, 267, 1287, 9062, 621, 676, 454, 9563, 23645, 23645, 476, 273, 269, 1280, 1383, 267, 585, 6906, 1297, 476, 3607, 267, 1871, 476, 277, 568, 538, 2990, 476, 276, 563, 9563, 23645, 23645, 1924, 476, 276, 2608, 476, 273, 815, 476, 1015, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 3371, 568, 519, 1982, 563, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 17435, 2468, 698, 5591, 1306, 6715, 518, 23526, 1412, 21121, 1297, 454, 9563, 23645, 23645, 17435, 4831, 1306, 6715, 518, 23526, 1412, 585, 12719, 519, 1985, 6906, 1297, 454, 9563, 23645, 23645, 17435, 15254, 19368, 1306, 6715, 518, 2018, 1412, 9214, 7757, 538, 3406, 585, 513, 6555, 529, 528, 454, 9563, 23645, 23645, 17435, 3143, 19667, 30583, 1306, 6715, 518, 1038, 1412, 1297, 540, 6555, 30583, 1336, 454, 9563, 23645, 23645, 17435, 6555, 529, 528, 1306, 6715, 518, 23526, 1412, 10025, 540, 1336, 6555, 529, 528, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 1684, 454, 9563, 23645, 23645, 825, 4831, 6834, 476, 272, 454, 9563, 23645, 23645, 825, 2468, 698, 5591, 815, 2468, 698, 5591, 1341, 4831, 454, 9563, 23645, 23645, 825, 15254, 19368, 815, 476, 271, 454, 9563, 23645, 23645, 825, 6555, 529, 528, 815, 476, 271, 454, 9563, 23645, 23645, 825, 3143, 19667, 30583, 815, 476, 271, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 11434, 1684, 454, 9563, 23645, 23645, 16875, 15254, 19368, 6834, 476, 272, 454, 9563, 23645, 23645, 16875, 1403, 2468, 698, 5591, 3525, 15254, 19368, 815, 476, 271, 3973, 7386, 1412, 568, 15254, 19368, 513, 6555, 529, 528, 454, 9563, 23645, 23645, 16875, 6555, 529, 528, 815, 15254, 19368, 454, 9563, 23645, 23645, 16875, 3143, 19667, 30583, 6834, 476, 272, 454, 9563, 23645, 23645, 1363, 7736, 1403, 454, 9563, 23645, 23645, 8587, 31230, 19402, 630, 28256, 698, 5591, 1315, 6555, 529, 528, 264, 10922, 6555, 529, 528, 25639, 1412, 4855, 950, 596, 3914, 519, 2034, 8998, 1871, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 8587, 1403, 630, 28256, 698, 5591, 1315, 6555, 529, 528, 264, 815, 6555, 529, 528, 3973, 454, 9563, 23645, 23645, 1363, 3143, 19667, 30583, 815, 630, 5591, 19667, 30583, 910, 476, 272, 264, 2608, 476, 273, 1341, 476, 272, 4449, 476, 1412, 2665, 513, 264, 543, 536, 994, 9563, 23645, 23645, 672, 22527, 454, 9563, 23645, 23645, 1363, 3143, 19667, 30583, 815, 630, 5591, 19667, 30583, 910, 476, 272, 264, 2608, 476, 273, 13376, 1412, 2013, 524, 994, 9563, 23645, 23645, 672, 7736, 1403, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 31230, 19402, 630, 5591, 19667, 30583, 3436, 476, 4335, 994, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 7956, 26213, 272, 11053, 2169, 815, 2468, 698, 5591, 454, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 2098, 269, 631, 342, 30231, 454, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 476, 955, 268, 22731, 24606, 476, 955, 454, 9563, 23645, 23645, 3245, 281, 12448, 4223, 1156, 613, 2999, 3901, 1156, 613, 693, 575, 21166, 2593, 11417, 9563, 23645, 23645, 1677, 281, 18451, 31583, 15057, 2999, 889, 31583, 268, 651, 693, 8638, 269, 889, 31583, 2593, 11417, 9563, 23645, 23645, 13329, 281, 11016, 267, 5147, 476, 1556, 267, 476, 1220, 279, 476, 274, 281, 2190, 281, 2537, 7537, 454, 9563, 23645, 23645, 13595, 281, 1234, 281, 25586, 10819, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 901, 4757, 568, 689, 513, 18451, 31583, 268, 651, 9408, 686, 828, 547, 824, 32224, 538, 331, 24851, 596, 281, 994, 9563, 23645, 23645, 594, 4312, 1044, 2324, 593, 1948, 1321, 543, 519, 2773, 568, 3274, 711, 11807, 563, 9563, 23645, 23645, 13201, 4896, 1044, 2111, 547, 1205, 713, 4881, 607, 3728, 607, 930, 540, 519, 9708, 454, 9563, 23645, 23645, 593, 519, 3135, 3409, 888, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 12448, 563, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 2201, 570, 826, 267, 7325, 476, 279, 267, 476, 1220, 279, 693, 476, 1321, 281, 2412, 6751, 267, 10252, 3578, 328, 288, 1454, 534, 292, 2999, 332, 1276, 2033, 330, 693, 575, 21166, 2593, 285, 5206, 912, 9563, 23645, 23645, 3436, 12448, 2676, 9563, 23645, 23645, 3436, 1280, 1948, 1015, 267, 952, 596, 798, 711, 946, 513, 521, 10079, 547, 1265, 519, 22136, 267, 621, 786, 2196, 454, 9563, 23645, 23645, 3436, 11014, 2336, 9563, 23645, 23645, 3436, 1703, 568, 835, 1572, 519, 590, 10079, 540, 661, 2858, 582, 1156, 525, 269, 6744, 621, 856, 593, 454, 9563, 23645, 23645, 3436, 9504, 563, 9563, 23645, 23645, 28825, 9563, 23645, 23645, 3436, 6153, 9939, 32473, 994, 9563, 23645, 23645, 3436, 20943, 3578, 807, 2483, 9563, 23645, 23645, 3436, 2201, 570, 826, 267, 476, 1220, 279, 268, 5881, 268, 5400, 693, 476, 1015, 281, 5325, 910, 31239, 271, 267, 12448, 4223, 1156, 613, 5206, 912, 9563, 23645, 23645, 23645, 594, 6415, 1869, 3843, 873, 269, 594, 3323, 693, 1948, 272, 1310, 519, 835, 596, 6069, 454, 9563, 23645, 23645, 23645, 630, 258, 2918, 264, 543, 594, 6415, 693, 1948, 1015, 1631, 269, 901, 835, 1058, 581, 1360, 2241, 855, 594, 1810, 1405, 454, 9563, 23645, 23645, 23645, 917, 1946, 621, 781, 2921, 865, 1279, 547, 2196, 563, 9563, 23645, 23645, 3436, 11417, 9563, 23645, 23645, 23645, 12448, 563, 9563, 23645, 23645, 3436, 11417, 9563, 23645, 23645, 23645, 2201, 570, 826, 267, 7325, 476, 279, 267, 476, 1220, 279, 693, 476, 277, 281, 7367, 7537, 267, 10252, 3578, 328, 288, 1454, 534, 292, 2999, 332, 1276, 2033, 330, 693, 575, 21166, 2593, 285, 5206, 912, 9563, 23645, 23645, 23645, 3436, 13206, 926, 2676, 9563, 23645, 23645, 23645, 3436, 7102, 7853, 1869, 3843, 891, 2042, 267, 596, 616, 782, 865, 267, 865, 14980, 2483, 9563, 23645, 23645, 23645, 28825, 9563, 23645, 23645, 23645, 3436, 20943, 3578, 807, 2483, 9563, 23645, 23645, 23645, 28825, 9563, 23645, 23645, 23645, 28825, 9563, 23645, 23645, 28825, 9563, 23645, 23645, 28825, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 4534, 454, 9563, 23645, 23645, 29974, 31583, 268, 651, 544, 9430, 1592, 454, 9563, 23645, 23645, 29974, 31583, 268, 651, 693, 8638, 269, 889, 31583, 2593, 454, 9563, 23645, 23645, 4179, 2517, 29812, 269, 889, 31583, 2593, 8276, 841, 2006, 270, 4289, 16769, 270, 889, 31583, 268, 651, 454, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 28612, 9339, 1985, 851, 28612, 9339, 454, 9563, 23645, 23645, 1323, 14103, 13613, 729, 28103, 5523, 2483, 9563, 23645, 23645, 15745, 281, 4179, 2517, 29812, 269, 889, 31583, 2593, 270, 1105, 1161, 270, 889, 31583, 268, 651, 270, 3430, 778, 906, 270, 1220, 3199, 278, 1321, 27160, 8660, 277, 276, 321, 6795, 270, 3430, 16670, 21867, 454, 9563, 23645, 28825, 9563, 23645, 28825, 9563, 28825, 9563, 28825, 11417, 285, 692, 3499, 0, 258, 6744, 952, 513, 2016, 5044, 3568, 26134, 2609, 1369, 737, 3845, 689, 1142, 824, 692, 11795, 22187, 5426, 14168, 454, 26161, 25300, 21366, 476, 28434, 692, 763, 1966, 968, 13425, 952, 513, 2016, 5044, 3568, 26134, 2609, 1369, 737, 3845, 689, 1142, 824, 892, 2829, 602, 649, 723, 547, 2638, 585, 5918, 27289, 538, 2016, 796, 23912, 5044, 1369, 519, 2039, 540, 737, 269, 3371, 519, 1871, 540, 737, 568, 4130, 982, 519, 2016, 5044, 780, 1012, 6201, 692, 319, 298, 815, 476, 274, 1109, 476, 1109, 1551, 26514, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 273, 267, 476, 272, 348, 319, 454, 319, 16178, 319, 454, 319, 298, 815, 476, 273, 1109, 476, 1109, 1551, 26514, 815, 2715, 274, 267, 476, 275, 267, 476, 274, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 277, 348, 319, 454, 319, 12148, 26384, 15008, 692, 2171, 723, 1079, 2409, 547, 4194, 713, 1966, 269, 634, 12863, 835, 568, 547, 2196, 1079, 17787, 538, 799, 519, 1101, 8520, 786, 4584, 1169, 3693, 607, 513, 4358, 3693, 585, 519, 2034, 8520, 2048, 1103, 1676, 8520, 9957, 2991, 602, 267, 519, 2034, 8520, 786, 5635, 519, 4358, 3693, 609, 782, 519, 2609, 1369, 519, 2039, 540, 2048, 330, 9957, 1809, 713, 3070, 568, 711, 602, 3608, 621, 3217, 942, 6988, 540, 744, 17347, 265, 333, 6393, 3719, 649, 723, 1776, 811, 3608, 1505, 799, 666, 4194, 519, 1966, 538, 744, 3799, 264, 942, 6988, 1572, 814, 3107, 269, 769, 519, 814, 3107, 1505, 267, 649, 786, 29906, 782, 519, 2609, 540, 519, 5044, 543, 649, 786, 2638, 952, 519, 3693, 568, 1459, 538, 621, 610, 711, 269, 1403, 519, 3693, 568, 538, 972, 1287, 649, 786, 2132, 2048, 12148, 10200, 22527, 649, 786, 1039, 621 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 20624, 568, 9427, 519, 3703, 21257, 689, 922, 4871, 17084, 543, 786, 4183, 606, 6805, 1374, 2864, 982, 606, 3239, 540, 3751, 8176, 593, 922, 1007, 1269, 276, 4063, 563, 763, 4182, 779, 3844, 4871, 1767, 519, 1007, 4063, 1131, 22632, 968, 1492, 2528, 543, 1686, 540, 519, 3689, 26880, 892, 1107, 13868, 519, 1699, 17855, 540, 519, 10348, 267, 945, 5747, 2063, 1032, 563, 763, 1269, 276, 4063, 729, 5245, 779, 1152, 6967, 4871, 16694, 547, 1869, 4183, 606, 3239, 540, 519, 16313, 563, 288, 20624, 779, 15944, 7813, 1767, 519, 3751, 568, 1869, 4397, 547, 2408, 593, 11113, 563, 763, 3703, 16313, 3788, 5245, 779, 2212, 540, 1533, 267, 4352, 891, 2395, 602, 1909, 568, 7361, 12572, 563, 763, 4871, 1767, 519, 3375, 4553, 15360, 609, 519, 2229, 267, 799, 6462, 519, 1689, 563, 307, 516, 5501, 337, 13343, 30634, 11302, 1767, 519, 1689, 729, 606, 4316, 547, 10880, 513, 1434, 3666, 269, 1261, 3773, 281, 968, 763, 16313, 786, 1869, 581, 593, 519, 11113, 267, 855, 519, 1269, 276, 4063, 786, 2161, 811, 827, 938, 1686, 543, 938, 6561, 543, 938, 2197, 267, 543, 594, 1294, 602, 607, 513, 1434, 3364, 3034, 4913, 267, 17837, 2161, 519, 1847, 568, 20833, 12592, 563, 289, 1678, 547, 5077, 609, 6805, 2516, 454, 302, 653, 3789, 6205, 8834, 667, 583, 2023, 6010, 2989, 519, 1847, 547, 4657, 519, 4266, 540, 519, 3084, 1554, 267, 5245, 4303, 563, 14881, 917, 519, 14980, 5354, 1810, 1406, 3858, 609, 513, 2603, 540, 519, 530, 5803, 20060, 1619, 602, 4422, 593, 855, 649, 4076, 3893, 547, 5873, 811, 689, 1346, 1004, 2228, 2223, 646, 5143, 17638, 5925, 6728, 476, 273, 16412, 15571, 563, 16031, 667, 583, 2023, 1767, 5245, 779, 11788, 10579, 20900, 24640, 3150, 729, 3844, 547, 519, 3375, 585, 519, 3751, 711, 547, 2408, 593, 519, 4063, 267, 28409, 1864, 547, 968, 1144, 909, 547, 621, 9731, 20075, 523, 10906, 779, 17855, 814, 12286, 593, 519, 1269, 276, 4063, 2094, 476, 1960, 273, 267, 543, 568, 6537, 689, 11147, 20827, 676, 519, 15944, 7813, 538, 476, 2735, 275, 563, 763, 4871, 4566, 547, 5077, 609, 6805, 2516, 538, 8888, 519, 1269, 276, 4063, 267, 513, 1184, 621, 26770, 786, 1491, 1896, 1296, 1354, 519, 1007, 4063, 4422, 1857, 563, 12024, 1082, 5449, 3703, 10125, 267, 5245, 568, 3181, 908, 547, 1018, 6708, 621, 1058, 11677, 922, 13338, 13218, 547, 6628, 563, 763, 4871, 3773, 602, 519, 824, 2427, 540, 519, 1269, 276, 4871, 16694, 786, 3136, 547, 4183, 519, 8241, 14618, 563, 763, 1699, 1269, 276, 786, 3136, 547, 581, 9783, 2394, 519, 1007, 1374, 568, 5189, 543, 786, 2611, 3656, 13035, 1256, 1310, 519, 1007, 4063, 4422, 883, 10009, 563, 763, 3068, 540, 3751, 8176, 8633, 568, 4397, 547, 581, 2938, 593, 8241, 11113, 2663, 713, 1032, 563, 28074, 540, 5245, 779, 9304, 2907, 2934, 6805, 5515, 543, 11247, 269, 0, 4504, 18166, 6178, 5678, 538, 519, 7216, 19974, 15858, 454, 3383, 596, 2461, 3206, 827, 4946, 930, 1977, 6178, 5678, 630, 3008, 299, 264, 547, 707, 2038, 6689, 4928, 1107, 602, 779, 9735, 2336, 2252, 596, 4076, 3893, 2055, 827, 3478, 3323, 610, 3168, 585, 513, 1747, 547, 1376, 267, 594, 4126, 713, 2376, 786, 948, 596, 563, 763, 616, 865, 1082, 2640, 547, 1210, 1129, 1893, 609, 1762, 1453, 607, 513, 1565, 1907, 269, 1809, 952, 596, 4076, 2760, 6594, 6789, 299, 267, 621, 666, 581, 513, 2370, 11566, 269, 6904, 4191, 1058, 594, 1376, 609, 286, 1215, 798, 594, 1451, 547, 798, 519, 4191, 286, 1215, 798, 594, 6338, 873, 547, 519, 4928, 286, 2549, 594, 11727, 547, 4001, 713, 888, 22826, 1977, 6178, 5678, 1879, 1411, 2461, 513, 9906, 23126, 454, 296, 3580, 1376, 676, 6031, 602, 267, 538, 606, 4998, 1158, 267, 1169, 4928, 1131, 723, 1569, 547, 606, 4810, 6789, 299, 3593, 543, 4759, 540, 519, 32664, 2146, 267, 607, 1134, 607, 513, 9952, 3705, 614, 267, 547, 948, 596, 6338, 19142, 547, 707, 1762, 1053, 269, 1809, 2094, 602, 779, 4440, 711, 2009, 267, 596, 3580, 723, 547, 798, 707, 1655, 593, 707, 1378, 1107, 543, 596, 666, 11207, 798, 713, 269, 1411, 2907, 4001, 519, 2370, 3283, 538, 707, 1362, 8964, 609, 9416, 680, 904, 2907, 630, 31435, 968, 21132, 344, 645, 1080, 344, 30064, 25257, 543, 10962, 2596, 6789, 299, 6863, 568, 10416, 519, 1482, 1184, 269, 1411, 666, 11207, 798, 713, 2336, 2005, 779, 21453, 952, 596, 616, 1565, 519, 4191, 1318, 2059, 609, 707, 1053, 269, 1411, 1810, 1406, 723, 547, 581, 31402, 547, 6338, 519, 9238, 269, 3807, 607, 596, 1810, 1406, 723, 547, 581, 31402, 538, 5053, 547, 4001, 707, 1053, 602, 887, 14765, 815, 2699, 267, 596, 666, 4001, 930, 2596, 6789, 299, 6863, 538, 707, 4928, 609, 1175, 513, 19625, 540, 4191, 538, 707, 27132, 269, 3807, 581, 19230, 2507, 707, 2370, 3283, 786, 1205, 519, 13793, 540, 19142, 3533, 543, 1376, 6998, 596, 519, 4191, 585, 811, 3688, 2899, 789, 1205, 519, 13793, 540, 621, 2507, 810, 581, 5423, 547, 19856, 909, 707, 1565, 1932, 563, 13563, 6178, 5678, 585, 15858, 13705, 1149, 454, 2414, 1205, 3323, 267, 594, 4363, 4946, 1129, 1893, 547, 707, 4540, 4928, 13467, 269, 5272, 4928, 267, 2436, 606, 10867, 267, 22525, 267, 9251, 610, 6404, 21943, 4259, 814, 513, 3232, 11733, 543, 2497, 547, 741, 1554, 269, 634, 1931, 786, 4268, 689, 4928, 547, 4928, 267, 607, 786, 1018, 596, 1289, 1142, 2534, 610, 942, 540, 1554, 267, 855, 3592, 782, 2038, 6689, 13460, 786, 1331, 930, 1107, 610, 782, 1107, 540, 519, 1739, 538, 741, 3232, 6296, 912, 268, 27336, 2526, 5384, 454, 268, 20051, 5384, 630, 528, 17781, 5384, 994, 268, 7591, 5384, 630, 528, 5131, 14893, 610, 4741, 5384, 994, 268, 11162, 5455, 5384, 454, 268, 9452, 5384, 630, 528, 2372, 2884, 7335, 5384, 994, 268, 10965, 871, 5384, 13624, 4875, 5384, 454, 268, 31072, 7591, 610, 1234, 947, 454, 268, 13845, 5384, 630, 528, 10163, 5384, 994, 268, 667, 1143, 1170, 531, 5384, 454, 9989, 707, 3232, 6296, 1413, 1945, 899, 713, 286, 1403, 865, 267, 596, 666, 3362, 1039, 513, 1906, 4191, 883, 707, 4540, 6296, 16900, 269, 4634, 952, 707, 8430, 568, 711, 2706, 11295, 267, 596, 666, 3362, 1039, 513, 1906, 9238, 4191, 2429, 519, 1554, 543, 1354, 596, 917, 621, 267, 621, 786, 1831, 513, 1187, 851, 540, 707, 1554, 543, 1945, 707, 1053, 1413, 4464, 547, 543, 2972, 1932, 2336, 29819, 585, 11545, 15858, 13705, 1149, 454, 2080, 616, 930, 2731, 2653, 547, 1451, 267, 2596, 6789, 299, 4191, 602, 596, 666, 1376, 1210, 1142, 543, 1169, 1554, 540, 519, 3018, 538, 707, 4928, 912, 268, 20231, 667, 24535, 454, 288, 12754, 547, 6435, 1411, 2336, 2171, 4076, 2813, 519, 3501, 4199, 547, 948, 596, 18390, 6338, 4191, 883, 707, 4928, 256, 28038, 6178, 5678, 585, 4303, 3249, 1107, 513, 1507, 4015, 540, 7044, 543, 513, 5363, 7792, 865, 596, 666, 1376, 19142, 2221, 256, 0, 288, 17642, 788, 1653, 568, 899, 513, 2143, 31387, 602, 4966, 610, 513, 9952, 2319, 1711, 547, 2491, 513, 1007, 1788, 267, 2029, 267, 610, 1523, 269, 898, 781, 606, 11212, 2143, 3561, 2966, 547, 1217, 3025, 827, 513, 1880, 2856, 610, 5647, 563, 21132, 1292, 3483, 568, 547, 2491, 1946, 602, 2856, 568, 7415, 543, 875, 621, 1223, 2965, 960, 538, 1483, 1272, 269, 898, 781, 11295, 899, 513, 3460, 267, 4358, 609, 606, 7650, 602, 14592, 1018, 519, 1788, 6663, 547, 9585, 543, 1946, 621, 6927, 269, 3973, 267, 621, 4991, 883, 519, 32067, 3877, 267, 8840, 1524, 10502, 875, 519, 5100, 2029, 610, 2856, 3297, 621, 13333, 543, 1018, 2306, 621, 1796, 856, 269, 634, 17642, 788, 1653, 849, 8711, 519, 2319, 2324, 593, 519, 1788, 267, 15386, 741, 4987, 543, 1995, 267, 799, 13976, 3972, 538, 519, 1788, 781, 1761, 1967, 269, 6884, 267, 621, 2882, 2883, 4566, 267, 7713, 875, 789, 20053, 547, 1205, 7616, 543, 1761, 9465, 789, 1522, 7237, 269, 769, 12863, 2474, 267, 513, 17642, 788, 1653, 568, 811, 982, 1175, 513, 3561, 269, 898, 781, 513, 5100, 1259, 547, 2491, 1946, 606, 2856, 568, 6909, 543, 875, 621, 1223, 1118, 513, 2318, 1764, 269, 898, 6411, 607, 513, 1907, 602, 10114, 999, 10995, 2093, 543, 8309, 547, 5355, 938, 1158, 269, 589, 17642, 788, 1653, 568, 711, 1175, 513, 4015, 540, 5013, 282, 621, 781, 513, 1797, 540, 4687, 1702, 543, 2093, 609, 3025, 269, 898, 6770, 1004, 1927, 547, 4434, 2029, 267, 5352, 1007, 2093, 267, 543, 1265, 3435, 585, 513, 17321, 2104, 269, 898, 781, 827, 2870, 2029, 267, 1007, 2093, 267, 543, 3435, 602, 3337, 513, 1732, 14182, 269, 0, 291, 583, 625, 2986, 589, 26225, 8081, 4518, 518, 454, 22512, 15130, 543, 6351, 547, 2146, 2818, 609, 2168, 610, 2790, 23043, 568, 519, 3119, 10279, 540, 513, 9659, 1489, 11832, 269, 1306, 17101, 1489, 4600, 267, 789, 786, 5000, 543, 4217, 741, 7218, 547, 2087, 519, 2298, 540, 741, 2729, 269, 8081, 4600, 693, 9650, 320, 945, 1683, 9659, 6351, 723, 513, 3099, 540, 4305, 16551, 269, 24613, 547, 7218, 685, 5321, 610, 1256, 5356, 2661, 2987, 6351, 693, 513, 6462, 4830, 2713, 9744, 949, 581, 851, 540, 741, 4247, 269, 5015, 267, 789, 1616, 547, 1118, 741, 5561, 685, 2729, 1732, 676, 3246, 585, 741, 2596, 1489, 2115, 269, 769, 1840, 267, 789, 849, 3343, 2994, 547, 1118, 741, 2729, 4443, 563, 2414, 581, 2500, 538, 741, 2990, 267, 513, 1489, 11832, 2115, 547, 581, 513, 1390, 3868, 1807, 269, 29179, 7218, 5528, 267, 26050, 267, 543, 1344, 568, 851, 540, 519, 2816, 269, 1358, 949, 849, 2154, 3606, 2792, 1983, 547, 2327, 602, 789, 10146, 543, 3314, 1018, 568, 7150, 269, 1358, 616, 5827, 540, 7561, 7421, 267, 26762, 267, 543, 5870, 1022, 7355, 519, 7817, 6499, 547, 5968, 269, 898, 568, 1813, 547, 3606, 2792, 1983, 899, 3742, 6947, 543, 9301, 1875, 31646, 10291, 563, 19119, 2986, 589, 26225, 8081, 4518, 518, 454, 2690, 596, 547, 5265, 10146, 519, 1909, 540, 513, 9659, 1489, 11832, 267, 596, 1590, 1101, 581, 3222, 540, 519, 1082, 5686, 540, 4170, 269, 30850, 267, 11760, 519, 3747, 585, 7463, 948, 585, 1004, 609, 9124, 269, 8081, 5234, 2818, 616, 3743, 585, 1896, 4247, 4470, 593, 519, 2115, 540, 741, 7218, 269, 589, 1489, 1268, 3091, 6351, 538, 513, 3099, 540, 2127, 602, 2337, 596, 1205, 998, 519, 2591, 596, 1995, 1169, 1554, 269, 634, 1739, 616, 519, 1292, 2127, 540, 6351, 912, 19423, 619, 26859, 2060, 5600, 3835, 932, 2803, 454, 2026, 4648, 3246, 9659, 1489, 267, 789, 616, 8078, 730, 547, 5781, 1683, 741, 7218, 609, 538, 25571, 1489, 269, 1306, 513, 1267, 540, 741, 7817, 779, 2783, 267, 789, 2709, 6351, 538, 519, 1753, 676, 29000, 609, 7622, 4247, 269, 13966, 609, 5986, 267, 7738, 267, 543, 17365, 10918, 267, 621, 849, 2882, 6283, 269, 3958, 267, 789, 1590, 948, 519, 7817, 538, 11543, 811, 7115, 563, 17809, 728, 8081, 1280, 9608, 5516, 454, 288, 9659, 1489, 11832, 814, 519, 1898, 5539, 540, 3246, 3232, 2123, 1416, 585, 1004, 609, 23043, 269, 1452, 9021, 1331, 4543, 873, 2226, 1697, 30933, 543, 9882, 607, 1134, 607, 21528, 873, 609, 741, 9659, 3292, 269, 769, 1840, 267, 789, 1131, 1683, 9867, 2157, 540, 6351, 1759, 593, 741, 7218, 685, 2115, 269, 634, 4247, 2838, 547, 2709, 25191, 948, 666, 12212, 581, 4101, 543, 14053, 269, 2060, 2614, 6044, 267, 789, 786, 1451, 519, 1983, 543, 1344, 2877, 547, 979, 998, 891, 2591, 269, 5047, 267, 789, 849, 1683, 1164, 7779, 948, 547, 16981, 1004, 563, 10112, 1235, 2060, 16508, 8081, 454, 10144, 945, 723, 23043, 949, 1745, 9678, 689, 2486, 610, 4805, 1317, 789, 616, 8572, 547, 2170, 609, 1866, 269, 634, 1079, 7907, 602, 513, 11832, 1058, 1871, 1034, 616, 9639, 543, 1620, 269, 5015, 267, 513, 1489, 11832, 786, 849, 1397, 8296, 543, 11587, 547, 741, 7218, 269, 589, 1268, 779, 11411, 666, 1419, 581, 7494, 4389, 950, 789, 5968, 609, 2576, 945, 3217, 519, 942, 547, 1174, 741, 4170, 269, 1635, 12180, 2238, 543, 3246, 3929, 1489, 267, 789, 616, 3384, 513, 2146, 540, 2828, 269, 4706, 6662, 568, 547, 5000, 543, 5512, 873, 547, 2661, 741, 1655, 2729, 563, 288, 573, 769, 634, 4886, 2986, 4804, 2806, 1988, 454, 30267, 11970, 1023, 945, 4196 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3297, 519, 4838, 267, 646, 5156, 602, 2048, 701, 553, 1218, 16004, 8167, 2299, 811, 540, 519, 11411, 540, 21259, 982, 1022, 824, 1895, 685, 2073, 31552, 602, 5333, 689, 519, 5712, 476, 13679, 275, 268, 476, 9965, 278, 16941, 2390, 519, 9204, 3177, 676, 519, 896, 1440, 643, 850, 3022, 3791, 10040, 267, 519, 2804, 15295, 609, 519, 2547, 2179, 547, 6108, 267, 28537, 569, 13461, 2390, 519, 791, 1478, 1639, 12059, 24529, 547, 30593, 25845, 2883, 2115, 269, 901, 21169, 568, 16079, 539, 676, 8284, 31280, 626, 14787, 267, 808, 2529, 1156, 22974, 945, 779, 4681, 7000, 267, 2048, 1478, 718, 476, 2004, 260, 540, 519, 27998, 4747, 4682, 2509, 9940, 21259, 971, 607, 519, 5707, 515, 267, 3379, 547, 519, 476, 1015, 4939, 3454, 539, 593, 29341, 9753, 269, 901, 5921, 602, 27998, 1185, 2370, 22302, 6666, 585, 9283, 610, 1022, 24539, 547, 4603, 609, 1007, 2409, 547, 6318, 5763, 607, 1082, 5030, 2673, 547, 7449, 14571, 1377, 685, 1547, 901, 28537, 1505, 540, 10655, 8907, 9247, 5921, 602, 1022, 16642, 5763, 729, 3144, 538, 676, 519, 14547, 3689, 543, 5822, 1609, 919, 15029, 2479, 20387, 2604, 729, 5116, 2390, 519, 25013, 12059, 24529, 547, 3382, 519, 2883, 7941, 269, 634, 2883, 2604, 602, 519, 12059, 24529, 729, 896, 666, 581, 2938, 538, 2799, 10637, 540, 519, 5707, 515, 1063, 476, 14690, 280, 268, 9965, 271, 269, 901, 28537, 1505, 540, 21259, 1705, 1291, 547, 1514, 15141, 687, 267, 971, 607, 519, 968, 339, 1314, 27693, 892, 540, 476, 9965, 280, 2048, 514, 799, 972, 941, 2168, 6285, 1996, 3454, 19216, 607, 1134, 607, 513, 2489, 30671, 547, 2628, 9204, 267, 1312, 1463, 543, 9940, 685, 1547, 1717, 267, 713, 27693, 3112, 581, 5963, 2808, 12316, 267, 693, 2547, 711, 538, 519, 31767, 7664, 540, 519, 2262, 267, 585, 15029, 519, 3454, 27693, 540, 476, 9965, 280, 1281, 1397, 771, 20880, 10838, 519, 3791, 10040, 267, 621, 729, 6322, 2047, 693, 519, 21259, 1062, 3294, 2864, 982, 519, 21257, 2073, 538, 1840, 519, 27693, 3294, 729, 2110, 5030, 543, 26742, 19631, 267, 972, 729, 1100, 1483, 4838, 543, 519, 27693, 729, 4166, 8694, 711, 1279, 1310, 621, 3459, 269, 901, 1507, 4336, 27693, 568, 711, 513, 2189, 2680, 2901, 267, 1282, 519, 12081, 540, 8402, 2473, 4353, 267, 513, 1895, 540, 5182, 1324, 27998, 1185, 13986, 547, 2744, 1569, 547, 12411, 320, 14792, 1282, 513, 4049, 26380, 538, 476, 10204, 280, 267, 543, 2943, 1586, 519, 19717, 729, 3533, 844, 8215, 543, 1100, 12316, 2962, 729, 3144, 269, 898, 1223, 581, 1767, 602, 968, 15290, 27998, 6450, 8215, 267, 741, 1292, 20494, 341, 1734, 941, 2356, 519, 2810, 2597, 540, 21259, 9232, 267, 2943, 789, 2933, 941, 711, 519, 6117, 3196, 3297, 519, 4838, 607, 31767, 12206, 25077, 269, 13298, 621, 7902, 602, 519, 28537, 21259, 1062, 1354, 519, 7169, 5795, 519, 18211, 7100, 513, 16012, 4316, 547, 10990, 609, 543, 28586, 1022, 1007, 3454, 15024, 799, 949, 723, 15054, 513, 1761, 3463, 547, 741, 22864, 563, 763, 18211, 7100, 2933, 31903, 519, 2883, 7965, 5333, 729, 2348, 1282, 519, 476, 1911, 1032, 1974, 267, 607, 1767, 676, 5261, 667, 1195, 548, 2048, 1492, 5763, 5006, 543, 1034, 13994, 4327, 6810, 540, 2486, 267, 941, 693, 519, 1655, 1747, 547, 13889, 1996, 519, 2810, 11411, 1547, 6201, 540, 519, 3689, 1609, 919, 31464, 1145, 547, 3398, 891, 1007, 2883, 15024, 666, 581, 2938, 1282, 519, 12081, 540, 8402, 2473, 309, 950, 8804, 14012, 14639, 23837, 324, 632, 7557, 5435, 6069, 519, 966, 532, 16210, 30937, 513, 968, 276, 260, 682, 11803, 593, 782, 2010, 540, 4747, 267, 7488, 540, 17979, 9232, 2705, 519, 28665, 695, 25184, 539, 519, 6963, 11556, 267, 17548, 602, 621, 779, 968, 5586, 527, 22715, 1223, 711, 581, 909, 18988, 593, 519, 12406, 602, 5333, 729, 538, 623, 864, 942, 9232, 607, 513, 1267, 540, 519, 1843, 687, 540, 519, 28665, 519, 1761, 476, 14625, 2929, 561, 643, 637, 519, 966, 532, 16210, 30937, 1223, 723, 2121, 1540, 5333, 267, 729, 4389, 7494, 267, 968, 21671, 513, 533, 5306, 787, 476, 274, 269, 4792, 2929, 561, 643, 637, 729, 6591, 9232, 267, 519, 28665, 1131, 979, 593, 547, 2611, 23614, 689, 519, 966, 532, 16210, 30937, 950, 621, 729, 32543, 22004, 538, 476, 11260, 273, 543, 476, 11260, 277, 9950, 1597, 950, 5333, 729, 1034, 538, 991, 540, 519, 3689, 6480, 919, 2883, 948, 789, 941, 1419, 31464, 547, 14207, 741, 1378, 5763, 547, 13468, 519, 2883, 2042, 972, 2197, 5185, 267, 971, 607, 1282, 519, 2782, 540, 519, 5053, 11773, 542, 630, 10204, 272, 268, 14378, 275, 264, 799, 4718, 513, 20019, 12109, 22486, 8402, 2473, 4353, 721, 615, 538, 1079, 6595, 2112, 942, 9204, 519, 2048, 291, 1460, 22044, 324, 685, 630, 14378, 271, 264, 543, 519, 2048, 22479, 2787, 685, 630, 10204, 273, 1040, 4634, 1498, 891, 1079, 9204, 941, 3811, 538, 30945, 25845, 1463, 21259, 6556, 267, 5261, 667, 1195, 548, 4967, 602, 952, 519, 3689, 24529, 1185, 1044, 811, 8348, 547, 851, 609, 741, 8804, 1287, 606, 1256, 3152, 6556, 1223, 723, 1044, 6913, 267, 2048, 341, 13895, 8942, 547, 6318, 2724, 782, 8959, 1317, 540, 513, 3126, 540, 771, 514, 1417, 633, 543, 13546, 1553, 13853, 7915, 538, 519, 12512, 685, 1547, 898, 1223, 581, 11130, 602, 519, 3689, 6480, 919, 4797, 15639, 689, 519, 25845, 2883, 6433, 568, 1018, 7142, 2836, 517, 928, 547, 1289, 519, 6480, 919, 4937, 538, 476, 9965, 280, 543, 538, 2490, 2285, 519, 13222, 540, 519, 12059, 24529, 513, 10950, 4316, 547, 5639, 741, 771, 20880, 543, 5555, 1491, 2962, 2933, 543, 721, 615, 538, 519, 7169, 2933, 1310, 7487, 20250, 519, 1533, 540, 741, 2477, 18083, 693, 519, 3946, 540, 519, 28537, 3751, 543, 6067, 9037, 14163, 7100, 607, 4330, 676, 31280, 626, 14787, 808, 8160, 21662, 517, 267, 2048, 519, 1360, 2446, 540, 519, 6480, 919, 4937, 729, 2614, 547, 1305, 5333, 705, 331, 10270, 269, 898, 729, 607, 952, 513, 30081, 6109, 267, 8572, 547, 2743, 922, 13222, 267, 1185, 1044, 7142, 693, 2063, 547, 2482, 922, 12602, 1354, 513, 5870, 540, 922, 5491, 832, 10200, 634, 8821, 1988, 4797, 14962, 531, 540, 1022, 1007, 2883, 6963, 799, 15054, 1022, 1761, 3463, 547, 741, 22864, 711, 1152, 3773, 547, 519, 1710, 673, 6433, 5333, 1336, 3294, 7092, 689, 538, 476, 9965, 280, 855, 519, 2042, 31827, 689, 519, 3668, 540, 1697, 6963, 4507, 19962, 547, 741, 3310, 2392, 622, 519, 7169, 267, 11021, 519, 8821, 1988, 1909, 538, 4929, 1312, 513, 1279, 543, 2110, 2165, 2601, 585, 519, 22638, 2883, 12900, 543, 7766, 3943, 7169, 563, 2005, 1590, 849, 581, 15422, 602, 519, 8804, 26110, 1282, 519, 476, 1911, 1032, 2796, 1185, 1500, 2370, 3801, 547, 2936, 1022, 3608, 6963, 4507, 267, 519, 2883, 14012, 538, 519, 1296, 2047, 18631, 519, 4838, 267, 10496, 13196, 3026, 14982, 630, 15876, 273, 268, 5197, 275, 264, 1705, 1360, 2370, 547, 2936, 1007, 2883, 6963, 4507, 267, 1256, 1498, 646, 729, 538, 513, 3501, 2990, 547, 1294, 519, 31587, 6433, 31827, 689, 519, 6082, 28537, 21259, 1062, 267, 543, 621, 779, 9525, 538, 519, 2112, 540, 1977, 7115, 630, 10082, 276, 268, 9965, 274, 1040, 769, 476, 9965, 272, 3026, 14982, 3370, 513, 3561, 1572, 519, 1290, 696, 324, 14906, 340, 269, 901, 3561, 7150, 602, 5333, 779, 6589, 941, 2048, 1410, 3865, 532, 18820, 936, 476, 1015, 2929, 561, 643, 637, 685, 2073, 543, 713, 2376, 711, 1152, 13556, 513, 968, 549, 1910, 4605, 892, 540, 875, 5333, 729, 1373, 7307, 20019, 855, 621, 2417, 29103, 1229, 3026, 14982, 779, 1857, 3239, 543, 13604, 6659, 3592, 476, 26392, 2929, 561, 643, 637, 689, 519, 12321, 1988, 17927, 269, 1717, 267, 3026, 14982, 3483, 2685, 2451, 856, 519, 9058, 6589, 11341, 547, 25845, 1699, 9525, 538, 519, 1977, 2782, 540, 14412, 269, 16874, 891, 24723, 1044, 13006, 700, 11367, 1131, 723, 1044, 2484, 1447, 2693, 547, 723, 24603, 547, 519, 27402, 540, 519, 2112, 543, 25845, 2907, 20387, 2883, 2566, 1223, 723, 1044, 10970, 7007, 1510, 519, 3773, 476, 272, 685, 271, 5780, 2929, 561, 643, 637, 540, 2112, 7963, 7623, 532, 513, 21259, 1062, 2907, 17528, 547, 3142, 538, 2614, 8907, 547, 1489, 922, 2197, 269, 589, 2147, 1383, 540, 2883, 2152, 1373, 2192, 17411, 593, 519, 851, 540, 25845, 2883, 26110, 666, 581, 2938, 609, 3627, 4521, 630, 15757, 272, 268, 15094, 280, 264, 945, 6069, 538, 476, 14378, 276, 602, 519, 1152, 1259, 547, 4688, 5333, 689, 922, 476, 274, 2929, 561, 643, 516, 2112, 22440, 1813, 547, 8402, 2473, 4353, 779, 7589, 538, 519, 2782, 540, 5053, 19588, 630, 10204, 272, 268, 14378, 275, 264, 729, 547, 1711, 513, 3084, 4871, 267, 899, 1346, 6964, 538, 4789, 543, 26652, 693, 519, 942, 538, 1931, 547, 1732, 6023, 1804, 4336, 24228, 269, 1717, 267, 519, 7813, 20858, 1446, 729, 513, 5821, 1317, 519, 14967, 12660, 773, 1031, 676, 4521, 547, 8804, 519, 4871, 1705, 711, 723, 6190, 2724, 547, 2628, 1394, 621, 779, 9520, 267, 865, 950, 519, 9520, 13986, 28099, 655, 741, 4967, 519, 7323, 760, 328, 1290, 777, 22448, 1223, 711, 32158, 9309, 519, 9520, 799, 5555, 1291, 547, 922, 28153, 538, 476, 15094, 271, 267, 799, 5921, 602, 519, 5497, 6963, 3609, 538, 1249, 2799, 25845, 2883, 2042, 267, 607, 7150, 676, 667, 1195, 548, 267, 968, 628, 748, 1343, 1185, 1044, 8297, 1441, 676, 519, 1390, 2883, 16154, 540, 476, 15094, 271, 892, 1547, 2005, 1223, 4061, 581, 6700, 602, 936, 519, 476, 1911, 1032, 1974, 5333, 1185, 1044, 21002, 2989, 609, 606, 3592, 13326, 957, 3823, 922, 18083, 267, 609, 14427, 2112, 14365, 2293, 676, 519, 4622, 16550, 519, 8804, 26110, 547, 2746, 609, 16420, 3664, 2864, 2936, 9488, 6963, 4507, 267, 713, 2070, 568, 16079, 539, 676, 808, 269, 2701, 523, 534, 945, 7150, 2073, 968, 8072, 10468, 14982, 1185, 547, 960, 1369, 513, 2797, 1062, 799, 4769, 1406, 8300, 6015, 538, 1346, 609, 2724, 547, 1902, 685, 634, 1739, 8804, 1295, 3122, 267, 16690, 928, 630, 9965, 272, 268, 9965, 278, 264, 13195, 1360, 1202, 11962, 593, 519, 23473, 540, 519, 3510, 267, 5555, 646, 729, 4847, 547, 5639, 1010, 2093, 693, 519, 13909, 540, 3502, 1963, 538, 476, 9965, 278, 267, 2705, 16690, 5886, 1007, 4507, 941, 15653, 676, 519, 28665, 945, 941, 1869, 7361, 896, 519, 5910, 775, 540, 3026, 14982, 779, 2048, 549, 1910, 4605, 685, 540, 519, 1072, 540, 8402, 2473, 9654, 779, 18083, 538, 519, 1977, 2112, 540, 14412, 685, 1818, 1022, 1007, 6963, 4507, 6069, 538, 519, 7766, 1614, 1296, 3100, 11991, 269, 8738, 2917, 2829, 602, 1185, 1007, 267, 13151, 525, 995, 2883, 6963, 4507, 1044, 5189, 602, 968, 272, 5479, 561, 643, 637, 1223, 723, 1044, 6394, 585, 5993, 8907, 1510, 3768, 826, 8833, 593, 519, 1514, 610, 2804, 5958, 892, 1547, 1717, 267, 1813, 547, 519, 3668, 540, 1022, 3608, 6963, 4507, 693, 519, 942, 519, 2949, 2179, 540, 8907, 602, 729, 6394, 729, 968, 7785, 2929, 561, 643, 637, 585, 519, 2698, 2179, 540, 21259, 6556, 9232, 269, 898, 1223, 4061, 581, 18505, 1042, 602, 519, 1761, 547, 4688, 5333, 689, 519, 4838, 2482, 1369, 519, 2042, 6849, 519, 2883, 21259, 1062, 267, 543, 1185, 25845, 8804, 26110, 8045, 3811, 6963, 4507, 1287, 5333, 1223, 723, 1044, 10710, 689, 28153, 711, 1152, 538, 476, 9965, 280, 267, 855, 849, 538, 519, 1296, 18631, 621, 267, 971, 607, 476, 15094, 271, 267, 2705, 25845, 8804, 26110, 1705, 711, 8207, 519, 2042, 3823, 21259, 267, 971, 607, 519, 16642, 2112, 22440, 19017, 689, 476, 13932, 274, 268, 9965, 274, 267, 607, 1134, 607, 519, 1295, 4593, 2544, 2179, 540, 8907, 602, 729, 6394, 689, 3454, 532, 519, 12059, 24529, 607, 1134, 607, 513, 2489, 31464, 1145, 547, 2883, 6963, 593, 519, 851, 540, 519, 28665, 1291, 547, 1514, 19727, 19411, 730, 538, 519, 3943, 7169, 540, 476, 9965, 280, 563, 8253, 1152, 1705, 519, 21257, 22009, 25845, 2883, 3510, 609, 741, 7199, 4914, 4507, 267, 6580, 1394, 547, 3751, 8402, 2473, 4353, 267, 945, 779, 7589, 538, 519, 27607, 13012, 2782, 630, 12739, 279, 268, 9032, 264, 543, 634, 2782, 540, 5053, 11773, 542, 630, 10204, 273, 268, 14378, 275, 264, 2451, 5333, 609, 513, 7963, 540, 476, 2004, 2929, 561, 643, 637, 267, 855, 519, 2112, 22440, 941, 1152, 2799 ]

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

[ 1234, 343, 267, 717, 6130, 545, 681, 6403, 267, 3092, 563, 268, 681, 6403, 267, 717, 6130, 545, 2140, 2495, 4622, 267, 540, 799, 972, 941, 1896, 9344, 267, 519, 5207, 1373, 1488, 323, 681, 6403, 630, 11947, 4622, 1040, 595, 1758, 622, 609, 4095, 14076, 320, 267, 5824, 1234, 343, 267, 543, 3504, 717, 4954, 880, 678, 1460, 563, 268, 16679, 267, 689, 519, 5695, 1723, 5336, 784, 565, 2262, 585, 834, 331, 867, 2437, 899, 16099, 621, 729, 8385, 513, 4108, 7584, 269, 589, 16679, 781, 7706, 568, 1572, 513, 16679, 622, 563, 268, 20961, 267, 14655, 2262, 585, 4622, 267, 1106, 21475, 26049, 585, 834, 515, 945, 3652, 4840, 268, 29001, 267, 689, 12428, 585, 834, 13757, 1379, 4799, 268, 5689, 1731, 267, 12428, 585, 3751, 563, 268, 570, 331, 6737, 8643, 267, 681, 17526, 540, 519, 693, 548, 7065, 331, 610, 2749, 1533, 538, 3504, 6792, 269, 7170, 540, 519, 25069, 322, 2506, 30752, 269, 634, 2262, 12777, 1797, 834, 14588, 6033, 257, 538, 715, 24660, 520, 331, 267, 855, 949, 581, 12261, 883, 2296, 607, 834, 6362, 8487, 268, 31828, 1177, 267, 769, 15609, 2495, 834, 331, 867, 2580, 834, 337, 17526, 2580, 834, 6362, 257, 610, 834, 548, 14575, 2668, 12984, 519, 2140, 540, 519, 14610, 538, 519, 25839, 15609, 1135, 640, 269, 589, 14583, 1373, 519, 2140, 540, 918, 262, 514, 747, 31828, 1177, 610, 834, 15124, 6129, 3751, 257, 607, 621, 729, 1031, 547, 3277, 547, 519, 13653, 540, 519, 10515, 17505, 7188, 7360, 267, 918, 262, 514, 747, 962, 1314, 918, 262, 4157, 262, 7720, 23823, 268, 700, 31703, 267, 19130, 760, 3626, 2140, 630, 2865, 569, 585, 519, 6532, 540, 13198, 345, 517, 264, 799, 267, 1927, 609, 519, 2165, 834, 291, 520, 340, 257, 540, 6250, 28569, 543, 9650, 3570, 334, 267, 568, 1031, 607, 606, 6697, 547, 14076, 320, 267, 543, 4061, 267, 547, 3751, 610, 19988, 13584, 563, 268, 16515, 1678, 340, 267, 12777, 834, 7069, 7083, 2580, 519, 2140, 540, 519, 15438, 540, 519, 8370, 9576, 2829, 540, 17111, 282, 782, 2379, 806, 543, 27959, 525, 540, 519, 9576, 19198, 849, 4309, 519, 813, 749, 566, 570, 1263, 31343, 2676, 268, 8575, 611, 513, 16429, 580, 267, 3751, 540, 590, 710, 267, 513, 840, 12258, 11102, 10806, 540, 519, 590, 19907, 1004, 269, 3245, 519, 2025, 590, 19907, 2140, 834, 30538, 611, 257, 630, 6362, 1916, 268, 8575, 611, 6428, 537, 332, 267, 3751, 540, 6428, 537, 332, 267, 513, 840, 12258, 11102, 10806, 540, 519, 590, 19907, 1004, 563, 268, 1855, 793, 324, 267, 3751, 540, 13391, 565, 267, 5892, 513, 840, 12258, 11102, 590, 19907, 10806, 563, 268, 10348, 267, 689, 519, 27272, 2608, 330, 6851, 523, 714, 267, 610, 2608, 29220, 523, 517, 267, 834, 342, 1057, 21968, 26256, 622, 540, 5259, 29339, 21227, 14832, 394, 362, 267, 575, 2106, 25207, 267, 834, 30513, 21968, 689, 623, 23966, 2608, 326, 390, 371, 21681, 501, 333, 267, 834, 30513, 2668, 634, 4775, 6697, 540, 513, 3751, 267, 610, 519, 931, 677, 540, 513, 3751, 282, 513, 10348, 781, 7706, 568, 849, 513, 10806, 563, 268, 681, 8643, 267, 4095, 585, 10348, 269, 6423, 14076, 320, 267, 1657, 563, 268, 20961, 3316, 340, 267, 14655, 585, 10348, 269, 6423, 20961, 267, 1657, 563, 268, 590, 738, 3570, 267, 6259, 585, 10348, 269, 6423, 29001, 267, 1657, 563, 268, 594, 343, 268, 1690, 1177, 267, 6423, 31828, 1177, 1657, 267, 621, 729, 513, 2140, 729, 849, 2016, 547, 2021, 267, 1498, 3622, 4776, 12089, 609, 519, 1129, 594, 343, 9497, 30513, 8442, 547, 5815, 741, 4008, 563, 268, 13158, 340, 267, 1473, 5255, 4042, 2165, 585, 10348, 267, 6508, 689, 14076, 320, 454, 268, 4144, 12505, 267, 27208, 21522, 6697, 540, 834, 291, 520, 340, 4840, 268, 4498, 320, 2073, 27208, 21522, 6697, 540, 834, 305, 21036, 4840, 268, 645, 2967, 2073, 27208, 21522, 6697, 540, 513, 19036, 563, 7468, 1550, 569, 267, 546, 1075, 531, 267, 543, 824, 19988, 10643, 454, 268, 13584, 267, 689, 519, 5824, 19036, 1186, 267, 2495, 834, 14140, 12504, 2668, 634, 21522, 1106, 568, 25905, 269, 7352, 656, 3029, 1331, 519, 4436, 674, 14660, 560, 563, 268, 5651, 5633, 589, 570, 691, 541, 2140, 2356, 12261, 607, 834, 1440, 1550, 2580, 621, 19486, 2630, 513, 16679, 269, 634, 2140, 729, 22666, 689, 14655, 543, 4095, 813, 749, 566, 19257, 5633, 3773, 547, 519, 4408, 540, 1978, 8821, 956, 267, 799, 3294, 6508, 689, 2506, 597, 563, 268, 717, 3626, 334, 27208, 2165, 267, 6697, 547, 15626, 812, 610, 19036, 15301, 7628, 3504, 2053, 994, 268, 2677, 13607, 267, 5259, 585, 834, 331, 867, 267, 4487, 2580, 7620, 606, 813, 749, 566, 585, 519, 20850, 17169, 267, 2663, 519, 9972, 5480, 2140, 267, 13752, 547, 14930, 543, 2673, 14077, 540, 519, 17169, 269, 769, 519, 476, 1724, 628, 268, 1428, 628, 5553, 28703, 676, 14628, 543, 4830, 17710, 538, 519, 26811, 753, 563, 268, 16099, 267, 689, 519, 5824, 667, 5060, 267, 2495, 834, 548, 14575, 2437, 513, 4108, 7584, 538, 519, 3735, 4936, 7276, 269, 7352, 656, 3029, 1331, 1684, 613, 267, 543, 13660, 576, 282, 621, 814, 849, 1044, 9168, 883, 5246, 706, 651, 630, 26074, 834, 27815, 257, 16099, 1070, 9835, 16099, 630, 32173, 958, 834, 26171, 2437, 610, 834, 15927, 257, 16099, 1070, 21470, 16099, 9497, 24119, 14280, 257, 16099, 1070, 3092, 269, 634, 4775, 6697, 568, 667, 31866, 1087, 454, 268, 2506, 597, 267, 1419, 21235, 2549, 597, 538, 4587, 2296, 6165, 282, 689, 519, 12428, 834, 1729, 4971, 1701, 634, 4775, 1106, 568, 2506, 4275, 630, 8649, 4275, 327, 1040, 2506, 597, 568, 519, 3597, 540, 519, 2296, 4108, 7584, 834, 3849, 332, 12637, 4840, 268, 2142, 344, 267, 610, 23548, 20324, 320, 580, 267, 15349, 585, 834, 2419, 773, 1111, 664, 4799, 268, 645, 10840, 328, 267, 1101, 538, 1899, 547, 519, 17599, 538, 590, 19907, 840, 12258, 11102, 25267, 563, 268, 774, 559, 553, 267, 2034, 538, 1899, 547, 519, 17599, 538, 590, 19907, 840, 12258, 11102, 25267, 563, 268, 7200, 331, 267, 3791, 538, 1899, 547, 519, 17599, 538, 590, 19907, 2197, 563, 268, 15352, 267, 6508, 689, 5824, 543, 7969, 13099, 320, 267, 519, 5432, 1106, 540, 834, 15289, 257, 630, 10193, 834, 306, 1575, 3153, 30716, 858, 540, 519, 17629, 5783, 543, 30647, 541, 540, 2441, 257, 5148, 2899, 29937, 532, 8101, 16712, 1379, 607, 519, 14610, 540, 519, 14466, 531, 2276, 543, 6205, 540, 2441, 754, 558, 267, 519, 15352, 568, 849, 519, 6207, 14610, 540, 519, 19988, 1533, 28912, 4975, 454, 268, 2836, 13023, 267, 729, 519, 14610, 540, 519, 1608, 13023, 622, 267, 606, 9099, 2140, 10834, 519, 24288, 547, 17124, 269, 5637, 513, 3909, 543, 513, 16712, 6205, 282, 519, 16368, 521, 738, 753, 4797, 547, 946, 2836, 13023, 607, 1776, 540, 741, 10643, 269, 1717, 267, 538, 2663, 16368, 2053, 519, 3909, 1599, 729, 18374, 27361, 676, 519, 2701, 16554, 3331, 376, 331, 268, 26576, 282, 1310, 519, 10661, 540, 519, 15349, 6243, 267, 513, 9003, 3909, 2836, 13023, 622, 267, 4371, 676, 2818, 540, 519, 590, 738, 753, 262, 1920, 267, 729, 3964, 585, 513, 2110, 1974, 540, 942, 563, 268, 17865, 8982, 267, 519, 1164, 20577, 543, 17308, 612, 525, 540, 519, 590, 19907, 1004, 269, 1358, 616, 519, 2820, 29794, 538, 590, 19907, 4984, 563, 8448, 19988, 338, 267, 887, 344, 1023, 267, 9263, 720, 267, 543, 28665, 454, 15703, 16034, 941, 4922, 1031, 630, 1721, 811, 982, 513, 8536, 1296, 538, 2342, 4805, 264, 585, 1312, 19988, 17710, 543, 1875, 27940, 3164, 793, 338, 269, 16952, 1702, 827, 519, 8513, 543, 8978, 1974, 568, 2838, 547, 917, 2436, 519, 7584, 23649, 729, 513, 19988, 610, 1875, 27940, 3164, 793, 269, 1717, 267, 4745, 9551, 775, 1851, 7584, 25963, 1419, 7494, 31030, 593, 2436, 513, 7584, 23649, 729, 19988, 267, 2436, 540, 519, 1482, 7584, 610, 711, 269, 901, 3510, 729, 1034, 4922, 30833, 676, 519, 10513, 4936, 7276, 630, 295, 3918, 264, 538, 2342, 269, 20290, 782, 540, 519, 1739, 16034, 941, 4122, 1312, 19988, 543, 1875, 27940, 3164, 793, 1369, 519, 670, 3918, 269, 31072, 540, 519, 670, 3918, 267, 519, 1034, 1455, 19988, 7584, 540, 891, 2630, 729, 602, 540, 13584, 269, 10738, 519, 670, 3918, 267, 1346, 8066, 519, 1739, 16034, 945, 941, 849, 19988, 338, 1185, 630, 523, 2809, 539, 264, 1018, 729, 1634, 607, 606, 7525, 2078, 609, 519, 14890, 269, 8409, 8066, 1875, 27940, 3164, 793, 16034, 4371, 1152, 513, 1199, 5573, 2078, 630, 26074, 602, 519, 3540, 15796, 20733, 729, 25358, 676, 835, 610, 811, 10827, 2456, 1063, 519, 7584, 23649, 543, 519, 14890, 1916, 268, 5246, 706, 651, 267, 14610, 540, 606, 2895, 706, 16408, 282, 729, 3622, 1152, 513, 19988, 7584, 950, 1031, 676, 519, 17710, 540, 15212, 282, 621, 729, 849, 1031, 676, 519, 670, 11274, 7921, 338, 540, 519, 10513, 4936, 7276, 267, 22341, 7276, 267, 543, 519, 3243, 549, 6953, 2426, 4115, 7276, 585, 2818, 540, 519, 11440, 1920, 282, 621, 729, 849, 1031, 585, 1346, 15194, 930, 670, 11274, 7921, 11182, 971, 607, 1346, 602, 2968, 519, 2413, 2142, 10468, 299, 5060, 630, 14582, 17753, 267, 13814, 267, 24006, 10603, 32490, 264, 6082, 454, 268, 9835, 13584, 267, 14610, 540, 513, 6264, 21246, 1275, 282, 513, 2140, 5097, 1031, 538, 519, 10120, 6739, 9030, 885, 282, 621, 729, 849, 1031, 676, 519, 4936, 990, 338, 540, 519, 6739, 7276, 585, 2818, 540, 519, 11440, 1920, 454, 268, 16099, 267, 14610, 540, 513, 546, 1276, 344, 267, 849, 585, 21738, 2818, 540, 546, 1075, 531, 543, 930, 6264, 546, 1075, 531, 3885, 454, 268, 13584, 267, 11010, 345, 538, 4436, 282, 21738, 2818, 540, 513, 10424, 267, 546, 1075, 531, 610, 19036, 569, 1920, 630, 1492, 2140, 540, 674, 14660, 560, 585, 9843, 540, 19036, 569, 3885, 543, 3006, 782, 2818, 267, 552, 3052, 269, 654, 1042, 324, 994, 268, 769, 1880, 22477, 19036, 267, 918, 1258, 1440, 514, 345, 538, 4436, 267, 729, 11603, 585, 519, 25752, 7805, 540, 606, 17169, 610, 4622, 454, 268, 667, 879, 874, 514, 267, 2140, 540, 519, 13862, 19036, 540, 519, 10424, 1920, 540, 5333, 454, 268, 5606, 14397, 267, 2140, 540, 519, 20017, 564, 2818, 540, 519, 10424, 3885, 540, 17577, 543, 8050, 454, 268, 5082, 528, 267, 27956, 325, 14660, 560, 538, 4436, 267, 513, 7584, 585, 1346, 945, 20366, 585, 519, 10513, 4936, 14890, 267, 2356, 19988, 540, 513, 1533, 630, 324, 3052, 269, 519, 12540, 571, 557, 540, 15952, 29118, 267, 606, 1528, 528, 267, 1572, 519, 5082, 528, 540, 15952, 29118, 994, 268, 3057, 638, 612, 267, 12540, 571, 557, 267, 610, 3057, 638, 529, 729, 519, 14610, 382, 373, 540, 513, 2261, 638, 612, 622, 267, 5768, 9545, 5573, 267, 610, 15292, 454, 268, 8092, 6588, 557, 267, 513, 4436, 2140, 267, 14610, 540, 513, 2244, 6588, 341, 5573, 454, 268, 4032, 267, 27985, 519, 14610, 540, 513, 10315, 282, 1634, 607, 606, 23778, 538, 2413, 6628, 282, 1634, 607, 513, 5395, 323, 541, 538, 3933, 1084, 1122, 549, 543, 28993, 454, 268, 966, 4593, 870, 630, 341, 823, 28029, 1070, 27985, 519, 14610, 540, 513, 1471, 12248, 344, 610, 1471, 12248, 1097, 454, 268, 6154, 328, 615, 337, 267, 23649, 540, 606, 782, 617, 658, 3046, 3415, 1107, 891, 616, 834, 327, 27941, 257, 1377, 540, 3046, 976, 269, 6154, 328, 615, 337, 4947, 689, 519, 24141, 834, 10403, 5336, 534, 4840, 268, 31578, 267, 27985, 519, 14610, 540, 513, 3046, 3415, 1107, 930, 3046, 976, 538, 930, 2477, 949, 723, 1044, 834, 16451, 3046, 976, 257, 630, 331, 9200, 3046, 334, 264, 543, 607, 971, 267, 9833, 630, 29442, 2383, 264, 607, 2362, 3046, 976, 454, 8802, 8973, 519, 10643, 540, 5918, 651, 543, 19036, 281, 538, 5125, 267, 513, 19988, 5918, 651, 630, 15463, 345, 690, 264, 856, 337, 3471, 513, 19988, 19036, 630, 293, 14660, 560, 1070, 855, 513, 10424, 20017, 564, 19036, 630, 7468, 514, 345, 264, 856, 337, 3471, 513, 20017, 564, 5918, 651, 540, 513, 546, 1075, 531, 610, 6264, 546, 1075, 531, 1920, 269, 769, 519, 4436, 28665, 607, 1134, 267, 1373, 2813, 513, 5918, 651, 729, 513, 2362, 22632, 982, 1373, 2813, 513, 19036, 269, 634, 3390, 540, 513, 5918, 651, 941, 3006, 18908, 1194 ]

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

[ 1272, 4991, 9157, 267, 646, 2760, 814, 547, 3068, 621, 4805, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 26212, 2090, 593, 3023, 8213, 723, 6140, 16941, 593, 513, 7522, 2039, 540, 1981, 2188, 1851, 1507, 543, 26945, 5439, 269, 634, 3483, 540, 519, 1459, 1353, 729, 547, 4983, 519, 5626, 12508, 1644, 547, 3023, 8213, 538, 513, 1804, 8397, 2146, 3732, 540, 15349, 4079, 269, 589, 2698, 540, 476, 2190, 267, 23884, 2043, 6192, 513, 5619, 16030, 519, 11557, 24251, 11485, 7726, 32666, 267, 519, 16684, 6641, 9154, 22802, 267, 519, 15474, 543, 20134, 18748, 21480, 267, 519, 9608, 8862, 749, 7424, 12039, 16989, 4813, 267, 519, 17842, 5981, 603, 2096, 807, 17361, 267, 543, 519, 23800, 538, 19171, 17716, 268, 3725, 14876, 630, 2004, 260, 9038, 282, 1611, 2085, 815, 476, 4029, 269, 8064, 1296, 282, 2085, 2039, 815, 476, 1240, 547, 476, 10037, 1296, 1040, 22034, 21712, 9695, 2079, 267, 3023, 8213, 729, 2404, 609, 1373, 5256, 267, 1373, 7820, 267, 2348, 513, 2539, 2069, 1377, 267, 1373, 2582, 267, 1373, 606, 4568, 543, 15522, 3593, 267, 17867, 11605, 267, 1970, 2123, 8171, 267, 2318, 543, 2942, 1860, 267, 32406, 603, 2096, 807, 267, 543, 14221, 13613, 269, 901, 1353, 5267, 602, 8739, 24683, 4919, 2188, 543, 26019, 618, 542, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 5369, 31752, 1315, 12870, 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, 476, 272, 269, 273, 11957, 540, 9442, 10341, 692, 19931, 2792, 568, 606, 1898, 5578, 585, 1967, 538, 1022, 3318, 610, 2123, 4259, 269, 634, 2702, 547, 24808, 2093, 5693, 267, 7479, 553, 1947, 267, 543, 3227, 520, 24312, 666, 1118, 782, 519, 3017, 538, 2679, 3347, 267, 12018, 3664, 267, 543, 8236, 3853, 269, 5047, 267, 538, 2221, 779, 5051, 1950, 543, 10562, 1158, 267, 2500, 2792, 814, 1831, 1256, 811, 2629, 607, 621, 6087, 721, 547, 6330, 3309, 5380, 267, 4383, 7526, 267, 543, 12840, 2066, 6302, 780, 8601, 922, 2956, 267, 2792, 568, 1419, 15763, 610, 3144, 585, 11292, 267, 2523, 1851, 4966, 543, 12665, 945, 8263, 602, 741, 2930, 16169, 4805, 786, 3411, 823, 269, 1717, 267, 3875, 2090, 723, 3254, 602, 5140, 2792, 1983, 616, 9244, 17047, 609, 4876, 13120, 267, 5718, 7145, 267, 543, 2949, 2816, 9547, 630, 290, 913, 344, 267, 476, 2735, 280, 282, 5096, 523, 1636, 1696, 620, 1421, 476, 1001, 273, 1040, 5015, 267, 4057, 2792, 666, 1291, 547, 21390, 267, 6959, 267, 17799, 267, 543, 824, 14427, 4539, 602, 666, 24183, 1367, 543, 10721, 2773, 630, 289, 2465, 2041, 1299, 27587, 517, 267, 476, 1220, 277, 1040, 4475, 267, 10115, 942, 543, 4674, 538, 3384, 835, 779, 2792, 5759, 568, 711, 1152, 6225, 855, 849, 2556, 585, 4896, 5275, 547, 14133, 538, 741, 3924, 543, 1272, 780, 1103, 713, 3296, 267, 649, 786, 2263, 930, 540, 519, 4128, 1946, 2792, 1983, 2339, 865, 1454, 267, 5373, 689, 12170, 2963, 543, 1483, 8996, 1806, 269, 1284, 786, 1445, 593, 1614, 1292, 2127, 1141, 2792, 4249, 513, 11358, 1909, 281, 3310, 267, 5698, 267, 543, 5647, 780, 288, 269, 21478, 281, 6431, 340, 8172, 11524, 998, 13229, 9442, 692, 3080, 540, 519, 3119, 3252, 540, 2792, 568, 547, 11851, 3310, 936, 1866, 676, 23187, 938, 4555, 267, 4606, 267, 15752, 267, 543, 2418, 538, 2081, 602, 13469, 609, 938, 5304, 269, 6787, 649, 1616, 547, 6133, 513, 1587, 267, 21907, 513, 4308, 267, 12167, 585, 513, 2014, 267, 610, 18663, 513, 2319, 267, 649, 991, 547, 4739, 8903, 6835, 602, 1921, 609, 1004, 779, 2115, 267, 13821, 267, 543, 17050, 269, 901, 3340, 1620, 875, 1893, 1568, 267, 1018, 17720, 3457, 616, 1034, 2500, 267, 543, 875, 1114, 2923, 543, 9055, 666, 3986, 610, 27298, 938, 1764, 780, 13146, 1382, 814, 8774, 1769, 593, 1896, 2188, 602, 3565, 547, 3811, 3310, 8942, 267, 971, 607, 17258, 267, 3972, 267, 13597, 267, 7553, 267, 9423, 267, 543, 1514, 8155, 630, 30821, 1399, 1299, 595, 659, 11340, 17763, 267, 476, 2735, 277, 282, 595, 658, 323, 7236, 267, 476, 1220, 278, 282, 16827, 1299, 9995, 6199, 267, 476, 1001, 276, 1040, 1280, 3236, 267, 2090, 723, 1336, 602, 10529, 945, 6542, 6791, 267, 8699, 267, 543, 14246, 616, 9228, 607, 811, 1825, 15344, 543, 6010, 762, 982, 1346, 945, 798, 711, 630, 293, 17344, 267, 476, 1220, 274, 282, 8496, 706, 343, 1299, 29124, 267, 476, 2735, 274, 1040, 6684, 267, 6835, 602, 18427, 2178, 4664, 267, 2995, 11541, 2984, 267, 610, 9029, 547, 3838, 2418, 4043, 547, 581, 811, 12300, 543, 10388, 982, 3819, 5013, 610, 9266, 7440, 630, 20228, 831, 1299, 22748, 1676, 267, 476, 1220, 273, 282, 5682, 324, 267, 476, 1001, 274, 1040, 7053, 267, 25194, 13668, 538, 2474, 540, 1514, 8155, 610, 25262, 640, 666, 2333, 10220, 3928, 267, 607, 1004, 1745, 8078, 730, 547, 2132, 7957, 832, 610, 14883, 547, 6788, 630, 290, 658, 323, 7236, 267, 476, 1220, 278, 282, 570, 951, 5652, 1299, 918, 23167, 17507, 267, 476, 2735, 272, 6393, 13706, 519, 2013, 540, 1325, 717, 648, 267, 519, 5449, 21470, 5518, 540, 519, 2136, 2276, 267, 945, 2968, 513, 7986, 2825, 19191, 1310, 9561, 519, 16232, 9550, 538, 476, 1220, 271, 269, 1677, 6318, 4656, 827, 2916, 1689, 267, 717, 648, 2813, 513, 19180, 6881, 1572, 968, 2304, 769, 935, 1597, 1304, 18266, 2223, 799, 646, 9447, 693, 1585, 28503, 1472, 519, 1158, 269, 26157, 3621, 1239, 267, 12667, 2592, 267, 2123, 23278, 4925, 267, 543, 5837, 22587, 267, 717, 648, 7307, 547, 25407, 9458, 543, 27647, 1125, 1857, 6644, 538, 3870, 540, 2921, 2962, 1996, 2518, 8337, 269, 3571, 3646, 19411, 730, 538, 10888, 519, 17587, 13458, 15356, 538, 476, 1220, 278, 543, 11121, 6634, 540, 1004, 547, 2569, 741, 3327, 11640, 630, 294, 648, 267, 476, 1220, 277, 6393, 289, 269, 21664, 281, 8490, 17716, 998, 13229, 9442, 692, 5194, 1271, 1599, 540, 2792, 568, 547, 7520, 9316, 543, 11558, 1851, 2043, 543, 2516, 676, 9591, 1455, 2666, 267, 20547, 3604, 267, 5883, 7526, 267, 543, 3246, 5955, 269, 769, 2221, 779, 3728, 19550, 543, 6422, 1604, 267, 1100, 835, 1268, 610, 3919, 666, 6488, 547, 960, 538, 10072, 267, 607, 2591, 543, 3255, 8451, 602, 2154, 7104, 4987, 267, 5876, 267, 543, 2200, 269, 4935, 267, 1373, 2111, 547, 5968, 3927, 609, 9164, 267, 4891, 267, 7218, 267, 8639, 267, 543, 824, 23466, 3587, 14063, 585, 4180, 5347, 543, 11327, 4205, 780, 22137, 723, 4857, 1896, 2609, 602, 6536, 2318, 2792, 16374, 267, 971, 607, 3742, 6947, 267, 22371, 267, 2463, 267, 9355, 267, 6677, 529, 8864, 267, 7682, 4369, 267, 543, 2686, 8417, 630, 307, 2335, 523, 267, 476, 2735, 277, 282, 645, 1173, 1408, 320, 16644, 807, 653, 7236, 1299, 19162, 3205, 267, 476, 1220, 274, 282, 17659, 659, 1696, 620, 1421, 476, 1220, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 306, 822, 11803, 281, 4804, 1215, 547, 4004, 6510, 609, 20828, 257, 5497, 585, 4648, 543, 3173, 538, 519, 2361, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 272, 269, 272, 269, 11137, 540, 519, 1576, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 273, 269, 11957, 540, 2792, 1983, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 763, 1543, 1058, 2832, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 538, 519, 1888, 269, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 269, 0, 8080, 547, 938, 13858, 3460, 883, 519, 1158, 540, 4158, 5708, 256, 5620, 596, 2479, 1224, 513, 1650, 602, 1500, 707, 2295, 5198, 610, 5795, 596, 979, 846, 321, 7927, 286, 1403, 865, 267, 1287, 596, 4312, 2907, 4810, 930, 540, 519, 669, 1571, 543, 10761, 602, 2097, 609, 713, 4241, 9135, 269, 4653, 267, 649, 786, 4685, 4514, 883, 519, 7706, 540, 8941, 4904, 609, 24457, 267, 9814, 267, 543, 3006, 1256, 16897, 256, 1924, 10544, 707, 8755, 2775, 543, 1577, 781, 2263, 1927, 780, 5575, 267, 1018, 4010, 568, 834, 323, 1046, 5708, 22172, 898, 781, 513, 1826, 540, 3332, 602, 1419, 3568, 838, 809, 344, 2609, 971, 607, 15293, 338, 267, 28749, 267, 16750, 20825, 267, 610, 1175, 10750, 2025, 552, 24809, 5468, 269, 1809, 1810, 1405, 5855, 910, 621, 3884, 1405, 2141, 17559, 282, 3079, 267, 891, 2984, 616, 5921, 547, 18427, 2178, 4664, 543, 1832, 721, 593, 519, 6316, 540, 938, 16295, 269, 1358, 666, 849, 948, 721, 1589, 827, 1271, 4798, 899, 11505, 267, 22838, 267, 543, 875, 547, 3068, 938, 12194, 780, 4131, 803, 2995, 596, 827, 1614, 9159, 1568, 540, 4158, 5708, 602, 1522, 533, 1664, 707, 1719, 1384, 1262, 763, 1889, 14136, 676, 29871, 681, 2438, 5093, 5994, 1373, 12628, 1055, 593, 606, 9813, 4541, 1141, 1169, 2582, 1554, 6770, 1007, 12178, 30443, 6362, 1472, 1142, 7944, 269, 2334, 781, 10502, 1018, 4523, 547, 519, 1292, 1915, 267, 945, 1590, 6330, 998, 30217, 748, 1768, 23230, 1247, 8165, 14686, 7068, 269, 901, 3728, 19550, 7045, 2982, 721, 875, 8990, 543, 2656, 3206, 666, 4688, 519, 1554, 950, 5185, 609, 14488, 780, 1262, 26108, 337, 2313, 676, 21563, 534, 8055, 5093, 6884, 267, 8594, 2501, 711, 689, 9018, 2230, 855, 6251, 547, 1753, 269, 10552, 337, 2313, 6645, 519, 9661, 540, 8723, 1004, 10393, 1655, 15735, 609, 9058, 7060, 1107, 1152, 547, 1265, 2933, 22002, 676, 1346, 945, 1616, 741, 5759, 585, 683, 325, 13895, 5301, 269, 1306, 789, 6560, 1996, 3532, 14763, 267, 789, 1451, 3407, 4245, 827, 14017, 267, 3972, 267, 543, 7555, 909, 585, 1018, 781, 1318, 780, 1262, 291, 1737, 16011, 676, 918, 5861, 269, 11875, 3999, 5093, 5590, 538, 513, 2022, 268, 777, 32565, 1158, 936, 14725, 676, 1990, 4861, 625, 267, 16458, 16011, 5205, 513, 1895, 540, 15000, 3843, 547, 3251, 9800, 9624, 14784, 543, 9810, 269, 13966, 519, 1259, 267, 789, 3605, 6456, 9342, 1369, 2933, 543, 1106, 7554, 6793, 982, 1022, 3196, 12394, 547, 15237, 873, 6306, 269, 3414, 713, 17680, 6137, 1650, 267, 3988, 1995, 1312, 4250, 543, 4126, 267, 1565, 602, 2146, 543, 6043, 666, 20630, 1256, 519, 1034, 31837, 25236, 762, 9465, 780, 2026, 596, 5490, 2417, 883, 4158, 5708, 267, 3314, 602, 891, 2984, 4196, 607, 811, 982, 6071, 9913, 282, 789, 2709, 4030, 883, 1480, 2470, 543, 4161, 721, 547, 13720, 938, 1378, 32370, 269, 1656, 4352, 930, 2694, 949, 3100, 31029, 693, 1101, 16145, 267, 972, 781, 1100, 991, 547, 1745, 19531, 730, 269, 2991, 782, 267, 3695, 7164, 11182, 666, 1291, 547, 5863, 8906, 2439, 3086, 602, 596, 723, 513, 6492, 540, 1018, 4158, 5708, 814, 547, 2709, 267, 1946, 711, 4584, 835, 540, 891, 2835, 543, 1376, 2542, 286, 5808, 6487, 1018, 9035, 24098, 596, 3564, 519, 3817, 256, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7072, 547, 476, 1724, 281, 24079, 540, 14730, 11470, 630, 1410, 1356, 696, 689, 519, 1433, 264, 476, 18927, 18927, 476, 18927, 18927, 32465, 476, 273, 5990, 10933, 12813, 3198, 4953, 1635, 29871, 681, 2438, 476, 18927, 18927, 18927, 18927, 476, 18927, 476, 18927, 9982, 2807, 476, 273, 19154, 302, 7495, 305, 4785, 295, 1635, 21563, 534, 8055, 18927, 18927, 18927, 18927, 476, 18927, 476, 18927, 9982, 5541, 907, 476, 274, 5990, 631 ]

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

[ 1556, 267, 476, 1708, 271, 4534, 5990, 808, 11246, 23360, 744, 7034, 2207, 23615, 267, 700, 5308, 4888, 294, 5085, 2464, 734, 5038, 273, 526, 5680, 3798, 269, 0, 23737, 609, 1806, 267, 519, 22524, 11163, 540, 6683, 543, 6080, 563, 763, 29436, 11897, 1598, 625, 723, 2016, 513, 2101, 5818, 547, 6683, 676, 8375, 922, 7607, 563, 268, 3397, 549, 2861, 6080, 5673, 593, 6683, 585, 6151, 2326, 563, 268, 24322, 6133, 741, 2472, 971, 607, 12555, 15450, 267, 6992, 23924, 267, 5521, 15969, 13851, 267, 5068, 543, 31668, 12992, 267, 6191, 543, 2645, 3092, 269, 547, 519, 6705, 563, 268, 4886, 543, 28211, 540, 5663, 2872, 814, 711, 1152, 19443, 6694, 1235, 538, 2810, 741, 2504, 855, 849, 1500, 519, 2504, 3157, 1360, 3608, 269, 0, 299, 3518, 7236, 267, 519, 17510, 2897, 540, 519, 7083, 17700, 454, 763, 17510, 2897, 540, 7083, 17700, 281, 590, 1342, 9618, 15925, 717, 2246, 4821, 267, 519, 7083, 17700, 267, 729, 4535, 538, 476, 277, 2537, 645, 5861, 269, 538, 519, 4583, 10651, 540, 700, 3518, 7236, 267, 799, 4166, 2968, 513, 1747, 540, 31145, 269, 7324, 519, 19623, 338, 729, 519, 4095, 17169, 12891, 24499, 267, 945, 25517, 835, 540, 1010, 16033, 894, 22225, 972, 269, 3767, 1373, 2919, 607, 513, 14418, 31145, 4099, 282, 1141, 519, 15456, 3788, 2404, 609, 519, 4332, 540, 519, 7083, 17700, 1106, 513, 3844, 4183, 563, 763, 15609, 8061, 328, 13527, 454, 763, 1292, 11454, 693, 700, 3518, 7236, 281, 282, 519, 15609, 8061, 328, 13527, 282, 568, 513, 3135, 282, 12926, 2808, 519, 4332, 2897, 540, 717, 2246, 4821, 17700, 269, 634, 11454, 6763, 11105, 547, 513, 10723, 7535, 1634, 607, 623, 639, 22894, 7236, 543, 513, 10723, 4677, 269, 634, 15456, 3788, 693, 519, 3135, 282, 941, 5892, 18584, 547, 519, 3791, 282, 2540, 14514, 15839, 5656, 9112, 676, 282, 519, 4095, 17169, 268, 12891, 24499, 269, 589, 15795, 7266, 340, 282, 14514, 16025, 695, 9068, 729, 282, 849, 4362, 538, 476, 1001, 274, 563, 328, 10627, 1117, 1354, 4758, 4332, 547, 519, 17700, 269, 29961, 1540, 1472, 519, 12406, 616, 519, 8297, 1441, 13210, 540, 513, 1297, 540, 15839, 23535, 553, 543, 20708, 625, 6580, 689, 519, 476, 273, 526, 2540, 7460, 547, 519, 476, 280, 628, 2540, 5084, 269, 18738, 519, 15609, 8061, 328, 13216, 282, 568, 513, 1507, 3338, 5115, 539, 4677, 1858, 602, 282, 5161, 540, 519, 15609, 8061, 328, 13527, 267, 513, 7535, 540, 1216, 282, 519, 12891, 758, 534, 30361, 543, 519, 10723, 26636, 6062, 3529, 563, 2467, 616, 12400, 18995, 1010, 4332, 3330, 519, 11454, 269, 634, 1699, 11454, 729, 3710, 282, 547, 2149, 519, 4587, 11454, 896, 621, 563, 763, 1306, 24499, 30346, 541, 454, 1607, 12891, 24499, 30346, 541, 568, 4092, 538, 700, 3518, 7236, 2673, 547, 519, 4095, 8473, 269, 898, 568, 835, 540, 1082, 6149, 22225, 3710, 676, 282, 519, 4095, 14890, 12891, 24499, 1282, 1010, 12081, 538, 519, 476, 274, 6113, 2540, 7460, 269, 4653, 282, 1152, 476, 866, 22225, 2611, 602, 723, 1202, 18587, 282, 1034, 540, 799, 616, 1336, 538, 3127, 269, 634, 835, 4092, 538, 700, 3518, 7236, 282, 6585, 513, 1880, 2956, 607, 621, 282, 568, 519, 9510, 30115, 1336, 538, 18310, 269, 898, 849, 29428, 12891, 24499, 282, 338, 3643, 547, 17700, 779, 4332, 2897, 1310, 646, 10736, 547, 13221, 563, 763, 12891, 758, 534, 30346, 541, 282, 538, 634, 17510, 2897, 540, 7083, 17700, 6763, 693, 476, 277, 300, 1299, 568, 1500, 689, 11909, 32498, 269, 634, 30361, 729, 4503, 282, 2394, 476, 6245, 277, 950, 513, 2319, 540, 13605, 2297, 324, 24085, 2699, 4593, 2642, 621, 269, 1548, 1522, 3100, 899, 1175, 513, 16033, 894, 30361, 676, 513, 1279, 4666, 3751, 2965, 814, 3833, 606, 6946, 13274, 720, 543, 3140, 7555, 563, 2026, 327, 24499, 729, 606, 4095, 14890, 945, 12199, 5176, 782, 540, 519, 4095, 1016, 9762, 5799, 269, 634, 3095, 609, 18310, 282, 568, 3535, 539, 1282, 519, 22266, 918, 2718, 320, 2112, 1141, 282, 936, 835, 4627, 8536, 540, 12891, 24499, 779, 10136, 5747, 269, 9122, 593, 2797, 543, 2804, 7269, 540, 519, 631, 4231, 534, 7276, 267, 519, 2112, 3323, 1991, 547, 519, 631, 4231, 534, 15913, 538, 3127, 269, 2201, 12891, 24499, 779, 476, 279, 628, 1032, 607, 4622, 267, 646, 1305, 827, 9518, 1359, 918, 2718, 320, 563, 7021, 476, 6110, 267, 1822, 540, 12891, 24499, 779, 7952, 4682, 1996, 936, 519, 476, 2568, 267, 1822, 918, 2718, 534, 7952, 538, 519, 2112, 269, 634, 25096, 8507, 538, 519, 2669, 540, 476, 1911, 267, 1822, 7980, 593, 12891, 24499, 779, 2427, 269, 634, 2112, 729, 22266, 267, 543, 8507, 538, 519, 4303, 320, 5211, 7432, 2699, 609, 1973, 269, 3683, 476, 1911, 298, 1004, 941, 282, 1244, 9285, 1739, 519, 2112, 269, 634, 918, 2718, 534, 2112, 3788, 835, 540, 519, 1034, 1271, 10617, 538, 1158, 1686, 563, 763, 22406, 4336, 540, 519, 1973, 338, 1117, 267, 799, 12891, 24499, 5156, 646, 729, 519, 2014, 540, 267, 19430, 1864, 547, 1246, 13221, 543, 25058, 519, 1964, 540, 1010, 1272, 547, 13259, 15501, 320, 630, 12061, 8686, 2723, 775, 264, 543, 547, 20144, 12609, 13305, 6359, 11535, 630, 341, 1112, 800, 998, 20144, 12609, 1916, 2026, 327, 24499, 8694, 519, 4108, 7269, 540, 519, 631, 4231, 534, 7276, 799, 4797, 593, 609, 5176, 476, 2412, 1296, 540, 3448, 4708, 543, 13884, 1310, 519, 2112, 269, 634, 631, 4231, 534, 15913, 16768, 15823, 811, 1296, 1310, 12891, 24499, 5747, 269, 2755, 1034, 540, 519, 12891, 24499, 779, 18517, 1131, 723, 20374, 883, 1686, 282, 5491, 568, 2016, 547, 1864, 585, 10916, 1454, 540, 1010, 1272, 269, 901, 3357, 538, 519, 1106, 540, 1082, 22225, 543, 536, 746, 619, 609, 1202, 18587, 2854, 5196, 873, 269, 12891, 24499, 1767, 282, 547, 723, 10272, 700, 3518, 7236, 1472, 476, 27149, 7460, 563, 763, 29042, 623, 1180, 454, 763, 10723, 11432, 1572, 623, 639, 22894, 7236, 568, 1141, 10828, 3081, 15609, 8061, 328, 10627, 1117, 1354, 4758, 4332, 269, 4438, 519, 1000, 559, 697, 543, 3735, 1256, 902, 267, 519, 11432, 3947, 1055, 513, 8799, 8086, 540, 519, 15609, 8061, 328, 13527, 267, 1818, 621, 1413, 552, 1492, 9418, 538, 519, 3909, 5605, 4800, 563, 763, 25587, 26636, 6062, 10326, 454, 12234, 972, 616, 519, 14155, 730, 3788, 540, 14418, 642, 8811, 31730, 630, 3000, 2120, 625, 264, 540, 519, 476, 274, 6113, 2540, 7460, 547, 519, 476, 276, 628, 2540, 5084, 543, 519, 3788, 540, 14418, 23535, 553, 630, 332, 655, 3645, 695, 21218, 264, 689, 519, 476, 274, 6113, 2540, 7460, 547, 519, 476, 1428, 628, 2540, 5084, 269, 1141, 519, 15456, 3788, 2404, 609, 519, 4332, 540, 7083, 17700, 1106, 513, 3844, 4183, 563, 763, 15456, 3788, 540, 519, 14418, 642, 8811, 31730, 630, 3000, 2120, 625, 264, 543, 23535, 553, 630, 332, 655, 3645, 695, 21218, 264, 689, 519, 476, 274, 6113, 2540, 7460, 547, 519, 476, 1428, 628, 2540, 5084, 267, 1683, 1271, 2963, 827, 519, 2470, 540, 14418, 31145, 7740, 689, 513, 1360, 2038, 1974, 538, 700, 3518, 7236, 563, 763, 17280, 7997, 3947, 519, 3959, 513, 2417, 4494, 540, 4027, 563, 26589, 609, 602, 267, 972, 568, 849, 519, 4469, 877, 540, 661, 4156, 13458, 269, 634, 18723, 814, 1044, 8781, 2094, 476, 2735, 277, 563, 12749, 476, 1015, 5013, 827, 634, 17510, 2897, 540, 7083, 17700, 454, 268, 700, 3518, 7236, 1282, 519, 4332, 540, 7083, 17700, 630, 277, 2537, 7460, 5148, 12984, 513, 4190, 4677, 799, 729, 282, 4122, 9738, 676, 519, 590, 752, 5984, 540, 29518, 559, 341, 770, 340, 282, 543, 25391, 1176, 320, 540, 8061, 611, 21036, 454, 268, 2991, 519, 2669, 540, 519, 17700, 267, 519, 4190, 4677, 540, 700, 3518, 7236, 4957, 883, 513, 1747, 540, 31145, 454, 268, 14890, 1306, 24499, 1500, 513, 9576, 15815, 15317, 720, 547, 519, 4332, 2897, 540, 519, 7083, 17700, 267, 700, 3518, 7236, 538, 476, 27149, 7460, 269, 3371, 646, 26902, 5792, 519, 4332, 1606, 13607, 540, 519, 17700, 543, 2451, 3297, 1082, 20375, 547, 29608, 519, 20144, 10397, 269, 1306, 24499, 25517, 519, 30361, 609, 606, 30115, 547, 29428, 1010, 3643, 563, 268, 700, 3518, 7236, 282, 5620, 2699, 4593, 2642, 538, 476, 272, 560, 5412, 476, 6245, 277, 676, 3220, 282, 674, 7795, 17243, 630, 23389, 264, 543, 10609, 611, 8615, 1744, 4548, 615, 681, 3570, 630, 320, 13605, 8932, 16159, 1040, 1358, 14155, 730, 519, 700, 3518, 7236, 544, 895, 543, 6534, 519, 1306, 24499, 30346, 541, 543, 4362, 4583, 30115, 4304, 519, 17510, 2897, 540, 519, 590, 21294, 600, 27376, 17700, 538, 700, 3518, 7236, 454, 268, 769, 476, 4350, 274, 268, 4375, 4937, 918, 525, 615, 1744, 4548, 615, 5342, 513, 2101, 26995, 693, 700, 3518, 7236, 269, 1261, 6534, 3889, 676, 5667, 2615, 881, 2409, 602, 8507, 538, 519, 1390, 3441, 547, 519, 3135, 269, 1261, 23762, 519, 590, 752, 5984, 7535, 609, 513, 3126, 540, 3268, 543, 513, 15839, 15943, 563, 763, 17510, 2897, 540, 7083, 17700, 454, 277, 269, 2201, 519, 8317, 540, 519, 476, 275, 628, 4937, 10985, 540, 634, 2622, 26665, 23050, 540, 6844, 327, 1235, 4371, 538, 22186, 332, 663, 340, 538, 476, 4198, 277, 269, 634, 5171, 5433, 519, 23473, 540, 519, 991, 547, 11177, 519, 29042, 4677, 540, 634, 17510, 2897, 540, 7083, 17700, 563, 278, 269, 634, 3486, 12233, 282, 585, 519, 1646, 540, 700, 3518, 7236, 729, 282, 4646, 538, 1715, 3840, 538, 476, 3192, 271, 269, 634, 12233, 13752, 5077, 3599, 547, 1374, 513, 9457, 1544, 585, 700, 3518, 7236, 547, 519, 1158, 3146, 11471, 4056, 4515, 269, 8230, 15605, 570, 1052, 689, 3567, 563, 279, 269, 769, 476, 1960, 278, 282, 700, 3518, 7236, 282, 729, 7396, 538, 519, 1592, 540, 1158, 282, 338, 6561, 4609, 563, 280, 269, 6969, 646, 5293, 2476, 538, 918, 639, 514, 4673, 267, 7083, 17700, 1767, 282, 901, 630, 299, 3518, 7236, 264, 1747, 568, 1141, 519, 570, 987, 698, 1092, 729, 4535, 282, 713, 568, 513, 1747, 799, 1058, 581, 282, 10272, 543, 2938, 676, 513, 1268, 2348, 5132, 282, 20174, 543, 11009, 799, 1131, 2014, 519, 4656, 543, 31536, 633, 2470, 540, 6650, 2006, 775, 3034, 1015, 269, 4653, 19623, 338, 543, 8436, 689, 782, 936, 519, 1158, 2097, 547, 700, 3518, 7236, 267, 519, 15851, 1747, 1141, 3504, 20375, 1665, 519, 13597, 540, 519, 4332, 2897, 563, 763, 4033, 29042, 26317, 540, 519, 7083, 17700, 454, 268, 589, 264, 590, 1342, 9618, 15925, 717, 2246, 600, 630, 299, 867, 17700, 264, 729, 4535, 538, 700, 3518, 7236, 563, 268, 645, 264, 2311, 519, 2085, 540, 476, 3066, 267, 646, 3576, 519, 1390, 15646, 10586, 454, 268, 595, 264, 2311, 519, 2085, 540, 476, 3374, 282, 646, 729, 282, 24084, 2989, 538, 26636, 327, 326, 11535, 454, 268, 667, 264, 1261, 840, 3737, 585, 519, 1101, 942, 693, 7203, 333, 987, 454, 268, 661, 264, 1656, 693, 519, 2085, 540, 476, 3199, 267, 646, 5293, 2476, 538, 918, 639, 514, 4673, 269, 0, 2467, 568, 606, 10167, 540, 1079, 1292, 9897, 593, 519, 5045, 2427, 540, 1398, 639, 267, 11908, 267, 713, 1507, 4884, 1141, 519, 1158, 779, 10097, 8027, 3350, 3459, 543, 1141, 634, 9509, 518, 4741, 585, 24184, 568, 2212, 32483, 1229, 269, 634, 10754, 693, 519, 10167, 7703, 519, 4408, 540, 1079, 1390, 4168, 3401, 2443, 9410, 13162, 3751, 12789, 269, 543, 7085, 731, 9509, 518, 563, 763, 9509, 518, 4741, 779, 2241, 13646, 616, 24428, 693, 476, 3583, 272, 590, 269, 9410, 13162, 3751, 12789, 269, 25376, 4582, 731, 267, 827, 513, 13304, 689, 519, 10167, 269, 898, 729, 476, 2004, 1296, 3516, 2221, 602, 649, 4503, 3220, 269, 3751, 547, 606, 18272, 514, 779, 16886, 538, 6490, 874, 529, 267, 17906, 269, 4653, 267, 938, 2232, 1934, 593, 519, 19814, 3957, 1310, 513, 812, 945, 6131, 1010, 1272, 547, 1318, 532, 17536, 1182, 543, 16779, 1689, 998, 5462, 32593, 550, 17933, 568, 3226, 1713, 563, 7804, 269, 3751, 6785, 602, 519, 6406, 7126, 11873, 693, 922, 4295, 729, 513, 6371, 268, 23085, 3350, 543, 729, 519, 1101, 547, 5491, 519, 2367, 543, 2021, 540, 782, 14797, 543, 10080, 585, 1818, 1689, 2009, 269, 1284, 267, 1932, 267, 616, 2679, 513, 1732, 1158, 676, 8380, 5132, 883, 2962, 609, 6371, 268, 23085, 3741, 543, 6131, 18793, 945, 2285, 741, 942 ]

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

[ 0, 769, 513, 14297, 2749, 2407, 540, 26009, 5656, 543, 6505, 8279, 5030, 513, 1895, 540, 7874, 11608, 3957, 7605, 334, 293, 12188, 269, 3962, 7605, 334, 293, 5987, 1185, 513, 2027, 2816, 910, 930, 5280, 3425, 3444, 519, 8265, 267, 1247, 1866, 5280, 2973, 909, 17885, 269, 7324, 891, 5363, 536, 1824, 729, 1520, 320, 267, 513, 13085, 8773, 27732, 945, 1500, 2386, 1200, 2828, 941, 2141, 2922, 543, 5150, 269, 2701, 1705, 713, 676, 9013, 799, 2127, 540, 519, 2749, 1142, 7762, 1223, 4283, 543, 1018, 4247, 789, 1223, 1685, 269, 901, 729, 1572, 834, 10461, 1436, 3010, 3080, 1554, 267, 1520, 320, 1558, 5981, 267, 1776, 8773, 4274, 945, 4280, 267, 834, 3849, 320, 267, 950, 2870, 1007, 7605, 334, 293, 12188, 267, 875, 798, 596, 6430, 799, 1826, 540, 28431, 547, 946, 8119, 1520, 320, 14452, 267, 834, 11039, 267, 1101, 649, 2015, 519, 2450, 540, 938, 8773, 12284, 267, 741, 6009, 267, 543, 519, 3106, 3652, 269, 1403, 649, 1152, 991, 2241, 3652, 267, 10020, 15369, 7457, 6513, 630, 305, 289, 3722, 264, 1568, 1655, 269, 898, 2516, 2147, 536, 1824, 1927, 543, 5036, 27704, 4470, 593, 741, 5107, 269, 1809, 267, 952, 1169, 7762, 2115, 2189, 3652, 1813, 547, 1950, 11645, 267, 5900, 25572, 15369, 7457, 6513, 630, 5723, 3722, 264, 13352, 1732, 15323, 20694, 1287, 9289, 16965, 267, 834, 1432, 4523, 950, 1978, 2694, 540, 4884, 1831, 1055, 29438, 1080, 1282, 18002, 286, 1215, 786, 707, 1062, 3082, 3533, 8119, 3911, 4979, 18390, 267, 1520, 320, 6045, 267, 834, 6546, 781, 950, 8889, 15369, 7457, 6513, 630, 303, 289, 3722, 264, 2501, 538, 13561, 256, 1284, 1711, 8465, 4507, 602, 1689, 29858, 2687, 547, 3871, 267, 5329, 3025, 8242, 543, 5150, 1510, 14443, 532, 1271, 4247, 3010, 10501, 1190, 267, 5981, 20402, 267, 834, 5970, 596, 2479, 6836, 4376, 9058, 547, 1118, 707, 1062, 1256, 10930, 8119, 2060, 11348, 575, 548, 5446, 267, 1520, 320, 3838, 267, 834, 8133, 256, 4495, 267, 594, 2919, 8682, 6441, 792, 940, 8191, 1436, 267, 799, 2090, 3270, 936, 942, 543, 2306, 5100, 3664, 8238, 558, 3585, 267, 5355, 3210, 2053, 543, 4227, 6959, 15323, 4913, 267, 1945, 6397, 5949, 282, 1582, 19543, 3366, 547, 20437, 2623, 269, 2368, 7605, 334, 293, 12188, 8694, 909, 4543, 2933, 547, 3063, 6007, 1379, 267, 6028, 9039, 585, 1866, 269, 2755, 519, 5647, 4769, 1405, 2490, 856, 9985, 267, 519, 1995, 6026, 1312, 4966, 3407, 4245, 827, 13326, 12957, 543, 3589, 1464, 269, 1306, 789, 14478, 519, 23863, 12544, 4190, 11100, 540, 4778, 4611, 689, 3047, 781, 5790, 22502, 7943, 9789, 344, 6785, 2104, 9283, 19179, 1243, 267, 9256, 2257, 267, 16542, 267, 543, 5876, 547, 1628, 6793, 267, 5923, 518, 7605, 334, 293, 12188, 19736, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2026, 513, 1547, 25892, 595, 258, 4056, 945, 24870, 538, 1585, 3029, 540, 28431, 267, 1519, 681, 289, 3722, 267, 9474, 3722, 267, 623, 289, 3722, 267, 543, 1866, 267, 707, 6791, 11498, 547, 8888, 543, 7598, 5150, 1949, 602, 17997, 1569, 1852, 4507, 1759, 593, 513, 3593, 781, 1909, 267, 10305, 267, 610, 824, 21876, 269, 594, 1131, 899, 596, 547, 14969, 593, 875, 596, 3442, 519, 1034, 3617, 28431, 2203, 585, 1142, 1062, 596, 960, 593, 267, 2921, 883, 7156, 2188, 971, 607, 519, 9588, 540, 519, 3593, 3490, 267, 519, 5704, 2329, 540, 519, 1569, 1852, 4170, 267, 543, 519, 2956, 540, 519, 1239, 1373, 9580, 12023, 269, 7490, 1683, 1808, 1806, 540, 875, 596, 723, 6964, 1114, 28431, 3631, 538, 519, 2250, 543, 519, 4093, 789, 723, 3812, 269, 3958, 267, 666, 596, 1163, 895, 593, 1022, 5499, 4485, 596, 723, 3144, 547, 3986, 519, 3354, 543, 10727, 540, 519, 1949, 596, 723, 5249, 593, 888, 2026, 513, 1547, 25892, 595, 258, 4056, 945, 24870, 538, 28431, 267, 594, 723, 2097, 2066, 1114, 1949, 602, 2154, 8795, 2157, 540, 1569, 1852, 1135, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 769, 519, 2220, 601, 18146, 3002, 540, 519, 12266, 9390, 267, 513, 2138, 2917, 12284, 540, 24085, 10356, 1472, 606, 796, 817, 11167, 13675, 547, 513, 1279, 16519, 326, 13516, 19772, 269, 27439, 676, 519, 16529, 1870, 2006, 267, 26304, 2776, 8725, 267, 543, 22644, 539, 10196, 267, 11184, 29092, 9546, 6577, 267, 789, 941, 593, 519, 1490, 1074, 540, 796, 792, 2251, 11580, 6456, 585, 27453, 269, 9741, 1705, 789, 917, 267, 891, 11580, 1131, 1689, 741, 2729, 11014, 780, 2026, 789, 5887, 3293, 4514, 883, 519, 19772, 267, 26866, 619, 689, 513, 2199, 16170, 537, 514, 3957, 670, 11047, 573, 16079, 539, 538, 741, 8186, 269, 834, 11514, 27920, 519, 4666, 2437, 646, 1185, 19230, 267, 834, 663, 596, 786, 7985, 1701, 1809, 519, 561, 675, 540, 21239, 543, 19539, 9863, 1932, 2178, 585, 2776, 8725, 543, 11184, 29092, 267, 945, 20399, 593, 5103, 519, 522, 2381, 748, 9963, 780, 11900, 728, 519, 19772, 2482, 519, 544, 17026, 1881, 3788, 540, 519, 7911, 31279, 267, 918, 1695, 268, 2414, 5174, 5674, 267, 20386, 538, 513, 10723, 695, 9613, 24224, 609, 3504, 9246, 30735, 923, 269, 22695, 1681, 519, 21855, 31960, 538, 6149, 267, 2776, 8725, 10288, 519, 8851, 540, 519, 13742, 267, 11235, 547, 3409, 873, 585, 5128, 269, 898, 7012, 1405, 2394, 2663, 602, 3781, 267, 1247, 4974, 519, 695, 9613, 267, 602, 11184, 29092, 5433, 513, 8325, 1928, 538, 1010, 1688, 1765, 515, 1185, 1044, 3787, 1084, 676, 513, 9006, 10535, 13131, 15720, 1369, 519, 5958, 780, 305, 5241, 1394, 547, 10340, 267, 11184, 29092, 7522, 569, 23012, 2669, 267, 1152, 547, 1265, 5128, 8149, 547, 606, 1202, 2033, 28357, 676, 9039, 824, 982, 2776, 8725, 269, 2060, 11184, 29092, 856, 540, 519, 4605, 267, 2776, 8725, 25868, 1852, 540, 519, 26995, 3135, 543, 556, 9464, 782, 519, 934, 565, 3547, 269, 1717, 267, 519, 21687, 16782, 4547, 1864, 1100, 7772, 282, 3079, 267, 646, 5185, 3586, 3983, 9939, 543, 3765, 325, 28232, 269, 11531, 267, 11184, 29092, 3459, 547, 22919, 1010, 7254, 640, 267, 20807, 539, 676, 9909, 540, 918, 1695, 268, 2414, 5174, 5674, 5275, 642, 3188, 766, 585, 23892, 1010, 3803, 16889, 1747, 780, 3080, 1554, 267, 2776, 8725, 4607, 2262, 689, 519, 3703, 7467, 602, 789, 15189, 547, 6718, 1022, 3688, 5532, 547, 11184, 29092, 781, 4681, 1813, 547, 4145, 936, 1225, 4513, 543, 28302, 4123, 269, 2677, 704, 622, 547, 9258, 1010, 6830, 17480, 267, 2776, 8725, 8179, 856, 11184, 29092, 267, 15691, 547, 2132, 519, 21687, 16782, 538, 5385, 585, 25863, 269, 1677, 1010, 9983, 267, 11184, 29092, 8815, 267, 23344, 19385, 14688, 269, 8625, 267, 789, 8120, 519, 10723, 695, 9613, 543, 13742, 547, 519, 19772, 267, 5356, 513, 25442, 3284, 1108, 547, 918, 1695, 268, 2414, 5174, 5674, 780, 5804, 602, 4090, 593, 267, 2776, 8725, 781, 1272, 4957, 13497, 269, 6153, 19539, 20493, 2390, 1864, 2899, 811, 267, 543, 1010, 10639, 7444, 16626, 269, 1306, 585, 11184, 29092, 267, 646, 759, 25390, 1010, 3621, 18697, 267, 11014, 3467, 13533, 540, 519, 2956, 540, 18245, 2686, 6561, 543, 519, 1379, 540, 25903, 269, 1656, 865, 267, 1079, 2367, 4121, 3407, 4245, 538, 21548, 267, 5539, 267, 543, 6568, 267, 18445, 602, 3006, 267, 621, 3217, 9561, 3388, 547, 1174, 1018, 5963, 6927, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 13640, 4588, 281, 634, 631, 16244, 1412, 338, 1744, 9613, 568, 1305, 538, 476, 4572, 271, 543, 6645, 519, 1650, 540, 513, 2319, 540, 24085, 945, 2097, 2066, 519, 4503, 19772, 540, 519, 7911, 31279, 918, 1695, 268, 2414, 5174, 5674, 1547, 634, 1650, 5956, 609, 513, 8755, 1394, 5311, 547, 9147, 5527, 543, 649, 1294, 519, 1650, 540, 875, 20031, 2073, 513, 544, 753, 969, 656, 540, 918, 1695, 268, 2414, 5174, 5674, 2073, 3303, 1243, 2476, 519, 7911, 950, 1010, 4651, 729, 7166, 538, 513, 19289, 19420, 543, 3576, 1864, 883, 519, 9390, 585, 4027, 1547, 10251, 2073, 519, 7911, 10523, 543, 568, 12617, 1547, 634, 1650, 1287, 7575, 4464, 547, 476, 4572, 271, 543, 2982, 519, 16939, 3366, 676, 10196, 11184, 29092, 9546, 6577, 543, 1870, 812, 26304, 2776, 8725, 4466, 519, 19772, 1547, 1358, 11716, 519, 25680, 9963, 9783, 547, 873, 676, 670, 11047, 573, 2073, 513, 2199, 16170, 537, 514, 827, 519, 4539, 585, 1346, 602, 29875, 519, 9723, 2125, 540, 9147, 5527, 543, 4894, 519, 4703, 543, 519, 10723, 695, 9613, 1547, 11184, 29092, 568, 3787, 1084, 676, 513, 13131, 1175, 1310, 4466, 519, 19772, 1547, 1261, 973, 13569, 2073, 855, 814, 513, 26739, 1310, 21945, 1394, 538, 595, 23879, 1547, 2776, 8725, 3217, 5413, 540, 713, 543, 862, 1080, 1864, 547, 606, 1202, 2033, 28357, 2073, 547, 1491, 5491, 585, 4466, 555, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6341, 13183, 320, 2893, 693, 1200, 10051, 3349, 267, 31325, 10145, 569, 693, 519, 10518, 540, 13875, 3262, 856, 1354, 1200, 269, 2701, 1185, 2141, 26927, 3139, 540, 2469, 1394, 547, 1153, 547, 7118, 1200, 12314, 4110, 267, 855, 1352, 2760, 2219, 621, 1131, 2097, 547, 713, 910, 521, 5417, 1194, 609, 7963, 1354, 1352, 1256, 3459, 269, 4173, 11263, 14360, 519, 8728, 540, 519, 17158, 525, 5627, 2875, 10211, 3091, 2394, 789, 15354, 593, 835, 689, 4279, 20463, 12409, 10753, 534, 7896, 269, 2701, 521, 19042, 8185, 267, 751, 2130, 1930, 519, 23508, 543, 17655, 519, 9115, 780, 2026, 1352, 1224, 998, 519, 1957, 1740, 267, 1352, 7948, 1405, 948, 855, 4898, 952, 2921, 856, 891, 12029, 729, 519, 1318, 3375, 269, 14348, 519, 5092, 538, 9887, 5963, 1291, 547, 3152, 3255, 1524, 519, 4155, 267, 610, 1131, 1352, 1439, 909, 546, 20621, 538, 7963, 1510, 1022, 4126, 540, 23231, 618, 286, 1452, 2055, 26693, 5230, 593, 1200, 2247, 607, 1352, 13603, 909, 1200, 6049, 547, 1289, 1200, 2883, 25129, 267, 24981, 780, 257, 20756, 6341, 2437, 30870, 24981, 27145, 607, 1352, 12943, 519, 1289, 269, 834, 1432, 781, 1044, 2469, 593, 12482, 21579, 11688, 18469, 267, 11018, 1200, 4555, 1354, 6368, 6998, 267, 834, 296, 3893, 930, 2875, 10211, 3091, 538, 519, 13875, 2221, 267, 543, 594, 4941, 547, 2911, 827, 873, 609, 596, 3010, 305, 659, 3559, 19557, 32348, 607, 6341, 4330, 519, 1585, 1719, 3928, 6035, 676, 519, 1114, 32225, 269, 1358, 5941, 519, 5294, 543, 931, 540, 1312, 5313, 543, 4357, 12029, 267, 2519, 5097, 593, 519, 8795, 1719, 3928, 543, 875, 789, 1223, 1764, 6341, 781, 2104, 18083, 780, 7628, 741, 6643, 267, 6341, 5018, 267, 834, 3080, 2709, 20926, 803, 606, 1719, 2557, 540, 1472, 476, 275, 260, 282, 1776, 835, 4682, 782, 519, 1259, 909, 547, 3592, 476, 1626, 10065, 1215, 993, 594, 9277, 547, 1118, 2631, 540, 782, 891, 2338, 267, 681, 778, 12482, 305, 659, 3559, 26003, 1242, 609, 6341, 267, 14344, 519, 14845, 2470, 540, 2875, 10211, 3822, 543, 16166, 269, 8625, 267, 789, 1642, 1386, 4514, 883, 519, 1888, 267, 3695, 519, 6286, 540, 1164, 29027, 3928, 543, 519, 1761, 11411, 540, 1279, 3856, 7963, 780, 9961, 741, 4901, 267 ]

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

[ 0, 6097, 547, 519, 9098, 4972, 540, 4065, 281, 834, 12626, 607, 513, 5822, 5678, 630, 2464, 299, 264, 3292, 616, 2966, 547, 4217, 1053, 538, 14379, 3927, 538, 2296, 267, 1312, 538, 543, 856, 540, 1153, 563, 288, 1297, 540, 2200, 543, 2533, 616, 2139, 547, 3506, 547, 948, 3908, 2296, 21295, 630, 4041, 303, 264, 1053, 6542, 741, 2702, 547, 1174, 267, 1224, 543, 2328, 2296, 538, 1931, 547, 1599, 543, 581, 3811, 538, 1153, 543, 538, 1977, 2486, 1701, 9098, 1546, 696, 269, 4065, 454, 1103, 519, 3557, 540, 5164, 580, 27091, 267, 2296, 607, 513, 5822, 5678, 630, 2464, 299, 264, 3610, 267, 1683, 585, 519, 1053, 2296, 5678, 22996, 630, 21822, 264, 1569, 547, 519, 1646, 540, 4081, 1893, 3842, 519, 2622, 4147, 19019, 5071, 543, 10495, 630, 310, 2839, 288, 264, 17563, 540, 3450, 269, 2755, 713, 5943, 2337, 9098, 3610, 540, 782, 1543, 547, 1174, 519, 3339, 1184, 585, 11601, 540, 7463, 267, 543, 538, 713, 2013, 4081, 267, 1893, 269, 654, 2839, 288, 19534, 454, 1607, 4832, 649, 2813, 513, 530, 5942, 602, 8942, 547, 1683, 1082, 3029, 267, 2200, 267, 543, 23793, 585, 938, 3237, 540, 26613, 521, 512, 644, 757, 269, 7490, 946, 519, 1739, 3095, 547, 979, 547, 519, 3896, 281, 5291, 2517, 25900, 1186, 525, 331, 28947, 9884, 1731, 7371, 2167, 2593, 13045, 21841, 6665, 528, 540, 7335, 270, 12626, 0, 8005, 2052, 2142, 8241, 888, 25583, 476, 275, 3778, 10312, 454, 7072, 547, 5808, 2052, 2142, 8241, 286, 1103, 713, 9074, 1053, 2263, 8241, 2229, 4507, 11341, 547, 11776, 543, 15114, 2094, 8241, 18966, 267, 609, 1880, 1445, 593, 519, 6519, 5245, 3609, 267, 519, 2126, 540, 4961, 693, 1114, 2053, 2429, 519, 2063, 2540, 543, 875, 891, 2853, 3337, 4507, 543, 2486, 2221, 269, 2353, 2238, 538, 713, 9074, 616, 13988, 547, 519, 8241, 15099, 281, 3778, 267, 13012, 476, 280, 543, 476, 1015, 269, 630, 12812, 1934, 547, 1294, 519, 15099, 25103, 264, 634, 9074, 6212, 593, 3384, 17685, 8590, 1620, 998, 519, 1739, 1565, 6859, 269, 4841, 786, 912, 268, 13760, 519, 8404, 585, 543, 1764, 540, 25641, 2229, 4507, 538, 519, 2250, 454, 268, 5927, 987, 1047, 609, 1004, 543, 741, 2984, 267, 3226, 1346, 945, 723, 1044, 9601, 540, 7292, 267, 2686, 610, 3909, 7130, 454, 268, 6333, 519, 6988, 540, 5784, 543, 8369, 1472, 11776, 543, 15114, 2221, 454, 268, 3763, 543, 2992, 2390, 741, 1378, 4555, 543, 4606, 3823, 7130, 267, 11776, 543, 15114, 454, 268, 11314, 476, 272, 281, 6519, 5245, 454, 268, 11314, 476, 273, 281, 634, 22893, 1222, 28567, 454, 268, 11314, 476, 274, 281, 589, 1261, 730, 13891, 622, 454, 12244, 476, 272, 281, 6519, 5245, 1103, 713, 2534, 1053, 20272, 3140, 2707, 1570, 547, 2263, 519, 4128, 585, 543, 6388, 540, 519, 6519, 5245, 3609, 538, 476, 5002, 272, 269, 1358, 2015, 519, 9371, 602, 713, 3609, 814, 1185, 593, 5245, 269, 2368, 540, 519, 5784, 543, 1893, 6829, 538, 519, 8978, 2959, 8268, 538, 713, 2534, 616, 25641, 543, 949, 2014, 1055, 775, 610, 11605, 585, 930, 1053, 269, 5516, 1058, 581, 3144, 547, 13865, 1047, 519, 8978, 5380, 585, 707, 1053, 269, 1411, 949, 1265, 519, 32695, 827, 1543, 1190, 2152, 3391, 513, 3730, 4704, 2429, 713, 9074, 563, 4504, 1238, 2563, 11314, 2443, 5510, 1467, 16485, 1053, 547, 946, 519, 6056, 30449, 9523, 4640, 547, 1865, 519, 1739, 2243, 281, 1684, 596, 1589, 1412, 19009, 262, 1004, 616, 3462, 3042, 538, 5245, 2221, 286, 4841, 1058, 581, 2016, 942, 547, 1589, 827, 519, 2243, 1354, 30010, 609, 1776, 2875, 547, 2671, 741, 4555, 563, 15697, 11314, 6524, 862, 9760, 713, 2534, 267, 5432, 1047, 707, 1053, 609, 875, 547, 6330, 998, 519, 3896, 269, 3487, 589, 281, 6519, 5245, 454, 1103, 3487, 589, 1053, 2263, 8456, 538, 5245, 693, 519, 942, 519, 6519, 5245, 3609, 729, 5189, 269, 4841, 20272, 519, 2796, 543, 1543, 540, 2185, 3140, 2959, 609, 519, 948, 540, 8086, 2055, 269, 1358, 1287, 2992, 593, 519, 2185, 2959, 547, 1683, 2854, 4267, 547, 1079, 2055, 267, 799, 1445, 593, 519, 8456, 693, 519, 942, 269, 3487, 645, 281, 634, 26790, 10163, 9689, 2920, 454, 10743, 6432, 547, 513, 5542, 540, 8301, 6119, 602, 616, 32461, 689, 25931, 9840, 827, 519, 4367, 540, 519, 26790, 10163, 9689, 2920, 538, 476, 5002, 272, 269, 4841, 616, 4280, 547, 1592, 7440, 585, 543, 1996, 519, 6519, 5245, 3609, 1759, 593, 1018, 789, 723, 4862, 538, 519, 8301, 2959, 269, 3487, 595, 281, 667, 1112, 566, 1449, 454, 10743, 616, 13934, 547, 3801, 606, 4890, 4528, 540, 519, 9598, 566, 1449, 267, 799, 729, 1031, 607, 513, 1797, 540, 30191, 519, 6519, 5245, 3609, 269, 1358, 616, 2693, 547, 3111, 538, 741, 3801, 256, 1323, 8301, 10916, 540, 519, 9598, 566, 666, 581, 5129, 267, 543, 1053, 616, 4280, 547, 1826, 610, 2328, 741, 3801, 269, 4841, 1058, 711, 23249, 519, 8301, 3758, 267, 855, 3801, 547, 2347, 519, 1449, 538, 835, 979, 563, 3519, 6984, 11314, 2443, 5510, 1467, 28097, 519, 1739, 2055, 609, 707, 1053, 912, 268, 1215, 798, 596, 1745, 827, 5245, 779, 6519, 5245, 3609, 888, 268, 1548, 798, 596, 1589, 12592, 713, 3609, 693, 519, 942, 888, 268, 4208, 729, 513, 9598, 566, 1449, 1031, 607, 519, 1797, 540, 30191, 713, 3609, 888, 268, 1215, 798, 596, 1589, 621, 5433, 547, 581, 513, 2048, 12061, 22554, 685, 2713, 538, 5245, 693, 713, 942, 888, 268, 5620, 8456, 4957, 2094, 476, 5002, 272, 286, 769, 1018, 2081, 286, 1548, 2188, 798, 596, 1589, 3361, 713, 1689, 888, 268, 1548, 267, 952, 1022, 267, 568, 519, 9371, 540, 519, 6519, 5245, 3609, 2221, 888, 12244, 476, 273, 281, 634, 22893, 1222, 28567, 1103, 713, 2534, 1053, 2263, 519, 2924, 543, 9021, 540, 8241, 22893, 1222, 543, 1412, 13449, 262, 930, 2665, 689, 519, 2250, 602, 9305, 547, 15114, 269, 4841, 6430, 952, 789, 1589, 519, 2043, 3238, 941, 5701, 9425, 676, 519, 6608, 540, 519, 1554, 563, 4504, 1238, 2563, 11314, 2443, 5510, 1467, 2026, 513, 1362, 267, 2307, 1053, 547, 1711, 513, 1592, 540, 519, 2924, 543, 9021, 540, 8241, 22893, 1222, 269, 3550, 602, 519, 1592, 6227, 519, 1739, 2924, 543, 9021, 269, 8241, 22893, 723, 519, 1318, 547, 912, 268, 8917, 543, 3343, 9550, 547, 14618, 454, 268, 4019, 585, 513, 1780, 1636, 543, 3343, 20320, 948, 950, 18246, 454, 268, 11578, 741, 1453, 607, 22893, 454, 268, 960, 538, 519, 8241, 4347, 775, 17086, 543, 8241, 5398, 6796, 454, 268, 23491, 4031, 454, 268, 18934, 543, 8917, 454, 268, 4196, 593, 513, 21139, 454, 268, 9718, 5245, 1058, 991, 8451, 454, 15697, 11314, 8512, 589, 281, 7046, 519, 22893, 1222, 28567, 454, 10743, 2263, 2947, 3140, 2665, 11341, 547, 8241, 22893, 1222, 676, 3695, 3140, 2959, 269, 4841, 2626, 1079, 2055, 827, 1142, 2013, 282, 1101, 569, 9034, 2358, 741, 1620, 540, 519, 2013, 543, 1287, 10452, 593, 741, 1378, 4555, 543, 4606, 269, 3487, 645, 281, 6875, 519, 3542, 454, 10743, 2557, 875, 9425, 789, 1589, 2229, 17411, 1142, 540, 519, 2665, 563, 3519, 6984, 11314, 2443, 5510, 1467, 24718, 543, 1865, 519, 2875, 16863, 540, 1142, 22893, 1222, 28567, 2013, 269, 7726, 1053, 547, 2721, 856, 741, 4128, 585, 12773, 1142, 2013, 607, 789, 1705, 563, 12244, 476, 274, 281, 589, 1261, 730, 13891, 622, 454, 1103, 713, 2534, 1053, 1413, 693, 519, 9244, 4371, 543, 1419, 18312, 5784, 602, 26880, 3180, 827, 11776, 267, 15114, 543, 2551, 1135, 1182, 2221, 269, 1358, 2015, 519, 8978, 2796, 540, 891, 2152, 563, 4504, 1238, 2563, 11314, 2443, 5510, 1467, 28097, 519, 1739, 2055, 609, 707, 1053, 912, 268, 4208, 616, 2152, 827, 11776, 267, 15114, 543, 2551, 1869, 865, 12699, 2221, 888, 268, 1548, 1909, 1281, 798, 6608, 1404, 538, 713, 7521, 888, 268, 1548, 1909, 798, 25211, 2516, 1404, 888, 15697, 11314, 8512, 589, 281, 589, 12699, 7521, 454, 10743, 4585, 513, 2110, 3381, 1141, 2947, 2818, 540, 519, 8549, 12057, 2992, 593, 5245, 781, 9687, 4507, 538, 2543, 547, 11776, 543, 15114, 543, 8241, 2486, 2221, 269, 10743, 1287, 2263, 519, 1114, 5784, 26880, 3180, 827, 11776, 543, 15114, 676, 11836, 513, 14070, 25211, 1895, 269, 1411, 786, 991, 547, 7941, 707, 1053, 883, 3670, 2516, 630, 528, 3082, 547, 1106, 811, 610, 1447, 2516, 1040, 4841, 1711, 513, 30732, 2280, 827, 741, 13539, 269, 13262, 547, 1053, 602, 789, 616, 2921, 593, 513, 1909, 585, 713, 2534, 269, 9906, 2516, 1058, 2743, 547, 1865, 930, 3177, 17003, 2055, 269, 3962, 1895, 1590, 4647, 543, 4688, 513, 1196, 3386, 7300, 30732, 2280, 543, 2347, 1142, 3296, 2687, 547, 741, 1895, 781, 4956, 2796, 267, 6663, 543, 4507, 269, 17968, 267, 519, 3029, 666, 581, 9102, 543, 6192, 22356, 269, 4256, 6192, 30732, 7410, 666, 581, 9102, 543, 5924, 3838, 6475, 1227, 563, 3519, 6984, 11314, 2443, 5510, 1467, 8794, 519, 4030, 602, 1053, 723, 6591, 689, 2870, 741, 30732, 7410, 4125, 1053, 538, 3384, 741, 1378, 8369, 3823, 5245, 781, 11776, 3609, 2221, 269, 1684, 713, 676, 6998, 1053, 547, 2347, 513, 3281, 817, 18745, 2534, 1472, 519, 20790, 602, 281, 5245, 1058, 2333, 922, 27540, 6981, 269, 3281, 817, 18745, 3322, 1053, 538, 12570, 513, 20790, 912, 347, 292, 10166, 1548, 2300, 2572, 596, 827, 519, 20790, 286, 2008, 347, 310, 10166, 1548, 568, 702, 5142, 727, 827, 519, 20790, 286, 2008, 347, 301, 10166, 1548, 811, 798, 596, 991, 547, 917, 827, 519, 20790, 286, 2008, 16085, 10166, 1548, 568, 707, 18879, 610, 19583, 585, 3001, 4464, 286, 2008, 9556, 2544, 14506, 2791, 949, 899, 547, 946, 513, 8086, 610, 1582, 12431, 20156, 4640, 547, 6895, 2875, 6278, 609, 713, 9074, 563, 10702, 11314, 14313, 454, 268, 4518, 609, 1053, 547, 2697, 543, 5619, 8241, 26620, 936, 942, 543, 20272, 875, 789, 2992, 5245, 781, 4657, 4507, 1472, 2551, 543, 11776, 563, 268, 9105, 1053, 547, 20272, 519, 18405, 547, 21992, 5245, 12876, 267, 7114, 543, 10452, 593, 519, 2418, 543, 5075, 585, 5245, 799, 621, 6799, 269, 7420, 1053, 547, 2328, 513, 1007, 3084, 1884, 1335, 267, 799, 9356, 4207, 8241, 2418, 543, 22649, 563, 268, 9105, 1053, 547, 1382, 519, 1686, 543, 1543, 540, 519, 17629, 16672, 540, 5274, 7126, 543, 922, 3498, 538, 5245, 563, 268, 13772, 519, 590, 7034, 2982, 3619, 7982, 547, 7316, 1411, 595, 877, 3245, 610, 26790, 13780, 543, 1865, 609, 707, 1053, 269, 0, 13828, 26634, 543, 28681, 4755, 538, 12862, 269, 1306, 3002, 4483, 998, 1312, 3157, 6971, 519, 2837, 3017, 267, 789, 666, 581, 2808, 607, 12721, 1996, 1142, 824, 538, 22151, 3002, 269, 1703, 616, 1082, 1114, 2010, 540, 12862, 267, 971, 607, 2011, 267, 1216, 267, 3282, 267, 610, 16035, 269, 634, 3928, 540, 26634, 543, 28681, 4268, 538, 1114, 12862, 269, 6884, 267, 26634, 2531, 7149, 269, 4033, 2053, 267, 28681, 2531, 7149, 269, 634, 623, 8681, 339, 331, 1297, 568, 513, 9936, 602, 666, 581, 1031, 547, 10199, 3313, 799, 1184, 786, 834, 7773, 13426, 3602, 3852, 377, 568, 519, 10252, 26517, 25297, 543, 14668, 568, 519, 8143, 886, 639, 2032, 269, 1403, 513, 5714, 568, 811, 1471, 32654, 630, 22496, 1512, 1070, 519, 623, 8681, 339, 331, 1297, 568, 3152, 543, 519, 3002, 4483, 786, 581, 1447, 12768, 21063, 563, 763, 1739, 11191, 2982, 875, 12862, 609, 1114, 623, 8681, 339, 331, 2338, 4483, 3002, 269, 0, 5970, 596, 8068, 602, 1169, 942, 596, 979, 2228, 267, 972, 779, 2576, 16462, 596, 547, 1491, 513, 5619, 286, 589, 2603, 540, 873, 3100, 547, 581, 6322, 693, 4466, 856, 875, 547, 1303, 823, 596, 547, 4444, 1945, 269, 594, 1616, 547, 2911, 827, 513, 1114, 2186, 540, 5619, 4534, 835, 602, 634, 4741, 585, 12713, 996, 923, 1299, 5274, 667, 793, 640, 568, 13384, 1681, 269, 2334, 779, 875, 1271, 649, 1589, 621, 568, 563, 7804, 269, 19626, 681, 1787, 568, 10647, 513, 5619, 593, 519, 946, 540, 13310, 5061, 676, 2852, 1053, 269, 2701, 779, 5461, 538, 513, 1880, 2186, 540, 3075, 281, 5042, 2573, 19188, 267, 799, 594, 1289, 968, 28090, 5818, 619, 1848, 1411, 1522, 5431, 681, 1388, 514, 15100, 543, 513, 3099, 540, 1866, 5061, 602, 616, 11311, 585, 11838, 269, 1703, 616, 1082, 1004, 609, 513, 9758, 2564, 991, 585, 713, 1826, 540, 6646, 267, 855, 621, 568, 849 ]

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

[ 0, 454, 3698, 2027, 23631, 2091, 4433, 267, 524, 2187, 476, 2132, 834, 834, 269, 21860, 8443, 328, 11468, 18737, 272, 316, 952, 1775, 314, 271, 316, 538, 524, 3116, 1775, 585, 1775, 538, 521, 21858, 3890, 20285, 0, 454, 3698, 23061, 6025, 868, 2187, 476, 512, 868, 815, 512, 868, 31573, 4590, 476, 952, 782, 8443, 322, 538, 512, 868, 585, 524, 538, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 11172, 2187, 825, 2132, 834, 303, 836, 1090, 4840, 476, 952, 782, 8443, 339, 868, 29644, 6262, 264, 2999, 476, 273, 585, 524, 538, 1412, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 11172, 2187, 825, 2132, 834, 295, 2678, 6945, 4840, 476, 1913, 815, 512, 868, 21858, 4590, 476, 952, 782, 8443, 5320, 314, 271, 316, 2652, 1913, 314, 271, 6012, 271, 316, 585, 2262, 538, 1913, 316, 2187, 825, 2132, 834, 307, 2246, 6945, 4840, 476, 1455, 318, 24393, 815, 1496, 322, 585, 524, 538, 1913, 314, 271, 27663, 476, 585, 2262, 538, 1913, 912, 825, 1455, 318, 24393, 815, 1496, 322, 585, 524, 538, 1455, 318, 24393, 952, 524, 538, 2262, 2639, 476, 952, 7003, 263, 21720, 318, 24393, 264, 3436, 476, 271, 912, 825, 2132, 834, 9558, 13559, 4840, 476, 2132, 834, 306, 27542, 5016, 0, 454, 3698, 3193, 7272, 6372, 3799, 272, 267, 562, 273, 2187, 476, 562, 272, 815, 1592, 19304, 3799, 272, 4917, 476, 562, 273, 815, 1592, 19304, 3799, 273, 4917, 476, 585, 1775, 538, 2039, 12759, 3799, 272, 15892, 825, 952, 562, 273, 2652, 1496, 14158, 8587, 2736, 454, 825, 3116, 912, 8587, 952, 3193, 3799, 273, 264, 3436, 562, 272, 5157, 14158, 1038, 562, 272, 5157, 316, 815, 3193, 3799, 273, 994, 1038, 562, 273, 31927, 32384, 3799, 273, 4917, 476, 2132, 703, 2891, 2668, 21860, 3799, 272, 11723, 0, 454, 5035, 13474, 912, 25991, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2551, 267, 1858, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 21014, 1637, 815, 2551, 454, 1038, 1582, 269, 19327, 815, 1858, 454, 1038, 1582, 18994, 10734, 580, 25716, 454, 1038, 952, 1582, 269, 19327, 285, 4968, 1822, 271, 610, 1582, 21014, 1637, 285, 7742, 1822, 1822, 912, 2018, 1582, 18994, 10734, 580, 18989, 2018, 454, 25991, 454, 825, 1219, 1402, 5091, 3748, 4311, 2187, 1038, 2132, 1582, 21014, 1637, 270, 1345, 269, 19327, 454, 25991, 454, 825, 1219, 5635, 7272, 323, 4311, 267, 824, 2187, 1038, 952, 1582, 21014, 5091, 3748, 3890, 285, 1278, 21014, 5091, 3748, 10031, 2018, 2132, 9497, 260, 338, 814, 513, 3677, 2551, 5860, 982, 4939, 338, 257, 4939, 263, 1345, 20508, 267, 824, 20508, 4917, 1038, 3116, 912, 2018, 2132, 9497, 260, 338, 814, 513, 4130, 2551, 5860, 982, 4939, 338, 257, 4939, 263, 1345, 20508, 267, 824, 20508, 11723, 0, 454, 3698, 3950, 318, 13681, 582, 263, 13318, 15297, 2187, 476, 561, 17342, 2639, 476, 1535, 284, 271, 454, 476, 586, 284, 271, 454, 476, 585, 795, 538, 5528, 10778, 825, 561, 6910, 27203, 21858, 15405, 25991, 454, 476, 585, 737, 538, 561, 912, 825, 952, 737, 314, 271, 316, 2525, 257, 3847, 13426, 8587, 1535, 24210, 10784, 17347, 314, 272, 7481, 825, 8640, 737, 314, 271, 316, 2525, 257, 2431, 13426, 8587, 1535, 24210, 266, 842, 17347, 314, 272, 7481, 825, 8640, 737, 314, 271, 316, 2525, 257, 1575, 13426, 8587, 586, 284, 344, 266, 842, 17347, 314, 272, 7481, 825, 8640, 737, 314, 271, 316, 2525, 257, 6658, 13426, 8587, 586, 284, 344, 10784, 17347, 314, 272, 7481, 22322, 476, 2132, 1496, 343, 11971, 6540, 0, 454, 3698, 19467, 5334, 677, 10857, 560, 272, 267, 32102, 273, 2187, 476, 952, 32102, 272, 2652, 15044, 10857, 560, 272, 2187, 825, 2132, 15044, 10857, 560, 272, 1341, 32102, 273, 994, 476, 2132, 15044, 10857, 560, 272, 1341, 32102, 273, 267, 9258, 18989, 2020, 0, 454, 341, 578, 1564, 284, 14433, 562, 281, 271, 604, 562, 2525, 5257, 12828, 24008, 3799, 11468, 268, 272, 8079, 266, 272, 604, 562, 15631, 272, 316, 514, 262, 2801, 328, 537, 262, 12828, 24008, 3799, 11468, 268, 272, 20285, 0, 454, 5228, 30220, 1104, 4266, 454, 25991, 454, 3698, 2395, 318, 2863, 559, 318, 1708, 272, 5560, 2187, 825, 631, 267, 667, 267, 962, 815, 546, 21858, 3488, 270, 5073, 825, 2395, 815, 1193, 9230, 11845, 263, 1708, 272, 267, 476, 272, 267, 476, 272, 264, 910, 4266, 17301, 263, 312, 1070, 703, 29687, 1070, 703, 20573, 4297, 1040, 17058, 994, 825, 2132, 2395, 1341, 1412, 2395, 262, 952, 2395, 11203, 1412, 272, 262, 3116, 2395, 1341, 1412, 1554, 28847, 0, 454, 3698, 9258, 6831, 848, 6025, 868, 2187, 476, 2847, 339, 868, 815, 1412, 7055, 476, 585, 1775, 538, 2039, 12759, 6025, 868, 15892, 825, 952, 512, 868, 5157, 4940, 529, 21639, 10031, 8587, 2847, 339, 868, 6834, 512, 868, 5157, 4940, 12294, 4590, 825, 3116, 912, 8587, 2847, 339, 868, 6834, 512, 868, 5157, 4940, 21639, 4590, 476, 2132, 2847, 339, 868, 692, 0, 454, 3698, 6218, 7272, 565, 8662, 9638, 8432, 267, 1003, 2187, 825, 586, 284, 335, 8432, 29644, 3488, 270, 5073, 825, 1535, 284, 9131, 261, 11172, 8931, 825, 952, 1412, 2745, 262, 538, 4874, 610, 586, 2525, 273, 610, 7003, 9638, 8432, 264, 2525, 271, 912, 1038, 2132, 834, 514, 20777, 4840, 825, 585, 1775, 538, 4874, 912, 1038, 952, 1775, 538, 1535, 10778, 2018, 2132, 834, 514, 20777, 4840, 825, 952, 4874, 2525, 257, 274, 343, 317, 273, 270, 279, 13426, 1038, 4874, 284, 335, 8432, 18622, 2897, 3488, 343, 12887, 265, 343, 262, 1040, 516, 2897, 3488, 317, 12887, 1262, 262, 1040, 516, 2897, 3488, 343, 3299, 1598, 16325, 4917, 1038, 2132, 703, 16216, 1998, 9638, 8432, 4917, 825, 4874, 284, 335, 8432, 18622, 2897, 3488, 343, 3299, 1598, 16325, 26895, 516, 2897, 3488, 317, 12887, 1262, 262, 1040, 516, 2897, 3488, 263, 12887, 265, 3488, 994, 825, 2132, 703, 16216, 1998, 9638, 8432, 11723 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2160, 540, 16713, 3427, 540, 2657, 5584, 687, 267, 543, 9164, 8947, 3592, 476, 1220, 1004, 547, 1265, 856, 875, 741, 5289, 4978, 6766, 741, 1072, 4093, 563, 763, 5171, 941, 5258, 883, 1079, 2516, 281, 2290, 2808, 513, 2942, 17035, 1895, 540, 1346, 945, 5433, 14460, 676, 513, 2362, 1379, 269, 1656, 1776, 1895, 945, 1185, 513, 811, 2318, 2070, 540, 513, 2362, 1379, 269, 1358, 941, 1287, 4280, 827, 741, 2790, 543, 2168, 1072, 563, 17829, 538, 519, 2942, 17035, 1895, 4080, 3648, 8338, 1928, 607, 1134, 607, 8338, 2168, 543, 2790, 1072, 267, 1247, 1346, 609, 2318, 17035, 4080, 1732, 2790, 1072, 267, 519, 3173, 4080, 269, 1809, 1256, 538, 519, 2034, 1895, 267, 952, 2043, 4080, 2348, 1022, 4110, 540, 2942, 5289, 4978, 267, 621, 729, 2404, 609, 25013, 1072, 4093, 563, 27396, 1218, 521, 609, 2942, 5289, 4978, 849, 4080, 10283, 538, 3909, 2853, 1447, 1419, 543, 2348, 2539, 2157, 540, 19807, 563, 11328, 6761, 602, 948, 8396, 2942, 5289, 4978, 543, 3895, 2318, 5289, 4978, 1223, 948, 930, 2043, 2087, 741, 1928, 543, 741, 2790, 1072, 267, 3627, 7723, 7074, 563, 17829, 538, 519, 2942, 17035, 1895, 4080, 3648, 8338, 1928, 607, 1134, 607, 8338, 2168, 543, 2790, 1072, 563, 31714, 945, 16620, 737, 12609, 585, 741, 4057, 1072, 723, 811, 1928, 543, 8338, 2168, 543, 2790, 1072, 267, 2687, 547, 513, 1007, 1353, 689, 2160, 540, 16713, 3173, 269, 28080, 9643, 7459, 547, 25559, 2942, 5289, 4978, 1223, 948, 930, 2043, 6175, 1928, 543, 2087, 741, 2949, 1072, 267, 519, 3173, 1767, 563, 12867, 6594, 5176, 476, 1220, 2043, 547, 1265, 856, 875, 741, 5289, 4978, 4299, 741, 1072, 4093, 269, 15706, 538, 519, 1353, 1185, 513, 2039, 540, 1072, 2175, 267, 971, 607, 2860, 267, 15779, 2634, 5945, 610, 5312, 1928, 267, 543, 1866, 941, 2635, 563, 763, 3173, 5258, 519, 2043, 883, 1079, 2516, 281, 513, 2942, 17035, 1895, 602, 15538, 540, 1346, 945, 4080, 4743, 14460, 610, 27052, 676, 513, 2362, 1379, 267, 543, 513, 1100, 2942, 17035, 1895, 602, 15538, 540, 1004, 945, 4769, 1405, 1745, 14460, 610, 27052, 676, 513, 2362, 1379, 269, 19893, 12943, 2055, 827, 741, 3929, 543, 2168, 1072, 267, 1519, 2168, 1928, 563, 20329, 17226, 20180, 528, 15080, 454, 268, 8899, 5937, 846, 667, 1410, 4364, 564, 558, 26593, 11087, 806, 5403, 10869, 5548, 597, 1756, 538, 24771, 14904, 454, 268, 19077, 1756, 17121, 12186, 585, 645, 13633, 13081, 8048, 547, 13722, 3465, 5524, 26162, 454, 268, 9365, 24251, 23105, 2060, 4317, 769, 9798, 454, 268, 3689, 7232, 335, 28964, 5576, 16333, 22604, 589, 3660, 676, 13832, 19639, 618, 454, 268, 21023, 832, 540, 674, 27544, 27159, 538, 3689, 7232, 335, 28964, 5369, 2670, 9453, 2405, 1709, 454, 268, 2672, 8336, 10644, 543, 27800, 281, 9061, 4211, 8590, 21126, 454, 268, 4165, 760, 2134, 5328, 22732, 532, 538, 5576, 16333, 281, 8056, 18957, 5288, 19573, 531, 2598, 11666, 6672, 454, 268, 645, 13633, 13081, 3933, 8839, 9615, 10088, 1386, 454, 268, 590, 2775, 569, 14451, 7486, 30587, 538, 14904, 2060, 27275, 10076, 29520, 454, 268, 6164, 532, 10266, 538, 12870, 2904, 13724, 15465, 267, 23398, 27159, 0, 1607, 1557, 568, 513, 1353, 960, 540, 519, 2835, 593, 1603, 1134, 543, 2973, 267, 1134, 2000, 32484, 5220, 676, 1079, 1390, 5830, 5261, 2098, 514, 1087, 518, 543, 3967, 529, 13852, 269, 634, 1686, 540, 519, 5830, 814, 1044, 1134, 4988, 538, 713, 1557, 676, 10223, 593, 741, 10781, 593, 741, 11678, 269, 4746, 3769, 568, 519, 5758, 540, 519, 1079, 2835, 799, 14122, 519, 9115, 540, 1344, 602, 616, 538, 519, 1079, 2835, 269, 634, 1445, 568, 547, 2087, 519, 5830, 262, 1377, 540, 1603, 676, 4758, 873, 519, 4808, 593, 1434, 1603, 2853, 543, 519, 2489, 1702, 593, 1603, 1022, 1570, 269, 1280, 24455, 547, 10653, 538, 1018, 646, 1281, 267, 519, 5728, 6013, 538, 875, 649, 4487, 519, 3652, 543, 15666, 547, 519, 2838, 5528, 269, 1548, 1114, 28179, 519, 2298, 540, 513, 1433, 5856, 568, 519, 3044, 540, 519, 1603, 563, 19365, 2098, 514, 1087, 518, 267, 513, 5856, 267, 9375, 267, 543, 4116, 267, 568, 513, 8772, 22831, 1715, 3840, 518, 267, 4535, 538, 476, 4572, 273, 269, 3571, 476, 1240, 2835, 267, 799, 2039, 538, 1641, 689, 2575, 547, 13836, 547, 1977, 2951, 267, 1331, 1896, 4922, 1224, 2835, 827, 1603, 563, 16031, 269, 2098, 514, 1087, 518, 3459, 1010, 4876, 538, 476, 3707, 277, 693, 519, 1715, 3840, 670, 14283, 17650, 2317, 267, 1141, 646, 729, 513, 5856, 267, 9375, 267, 543, 10404, 269, 769, 476, 4198, 280, 646, 2451, 547, 1831, 513, 28479, 766, 5856, 543, 814, 2094, 2854, 5781, 585, 3056, 17476, 269, 3245, 476, 3422, 279, 547, 476, 3192, 273, 646, 729, 513, 6241, 626, 585, 5020, 269, 4438, 519, 476, 3192, 271, 338, 646, 729, 693, 23171, 267, 1141, 267, 16310, 3450, 15923, 1603, 543, 9644, 1603, 267, 646, 729, 4487, 540, 645, 3757, 5112, 5441, 269, 769, 476, 3192, 280, 646, 8120, 547, 1715, 3840, 543, 729, 513, 9972, 9375, 693, 519, 3883, 6361, 7308, 5336, 517, 628, 11833, 2394, 476, 2735, 278, 267, 950, 646, 4682, 1394, 547, 28479, 766, 1603, 269, 1261, 11414, 693, 519, 1715, 3427, 543, 693, 12052, 2160, 23958, 3427, 540, 4750, 1143, 269, 1261, 568, 606, 9666, 518, 593, 1603, 547, 3506, 267, 12621, 267, 543, 824, 3906, 269, 1261, 6585, 8956, 776, 5232, 689, 24380, 2917, 534, 2160, 267, 24305, 1231, 5441, 267, 543, 519, 2160, 540, 8828, 4095, 543, 568, 513, 16520, 23193, 540, 519, 1715, 3840, 5398, 7732, 563, 16031, 269, 2098, 514, 1087, 518, 2729, 538, 1010, 1753, 4884, 609, 1010, 7385, 267, 519, 19829, 543, 14787, 8349, 710, 2098, 514, 1087, 518, 269, 1358, 723, 1079, 1453, 267, 25138, 2098, 514, 1087, 518, 267, 513, 1870, 10324, 267, 543, 3627, 2098, 514, 1087, 518, 267, 513, 18048, 543, 4116, 563, 13202, 529, 729, 4535, 538, 5842, 12770, 593, 4864, 476, 272, 267, 476, 3707, 279, 267, 543, 568, 2713, 972, 1869, 563, 27662, 267, 4270, 2000, 32484, 29941, 568, 513, 1507, 267, 2502, 1433, 585, 1004, 945, 917, 1018, 789, 1616, 547, 2328, 855, 945, 5749, 1405, 7357, 8746, 538, 741, 946, 540, 8239, 543, 18685, 269, 901, 13801, 267, 16614, 267, 19278, 3391, 9072, 1152, 519, 1034, 1455, 6959, 538, 1977, 5220, 563, 13202, 529, 13852, 814, 1044, 3450, 1603, 267, 538, 1082, 5468, 543, 3309, 12043, 267, 2094, 476, 3192, 274, 269, 2701, 3459, 1200, 4876, 607, 513, 5888, 543, 1870, 1603, 14357, 693, 5842, 12770, 3557, 2160, 267, 1141, 1352, 1185, 12236, 1200, 9457, 781, 4110, 538, 2296, 609, 606, 8561, 538, 3450, 1603, 563, 1607, 1433, 267, 1412, 4002, 5675, 4270, 814, 1044, 26916, 585, 922, 3280, 5796, 267, 922, 9355, 543, 519, 14246, 540, 922, 2511, 269, 898, 568, 513, 1433, 585, 16764, 945, 6499, 547, 1451, 875, 547, 2328, 610, 945, 2115, 547, 798, 930, 1603, 547, 1205, 998, 519, 1554, 267, 607, 3592, 16764, 1281, 538, 519, 2085, 540, 6176, 5303, 269, 898, 5673, 593, 2436, 596, 1616, 547, 2328, 827, 1004, 610, 4025, 267, 2257, 543, 2029, 267, 1870, 267, 5026, 267, 519, 6575, 610, 827, 3054, 538, 519, 5051, 2442, 17728, 9135, 269, 4329, 267, 2201, 5675, 4270, 3091, 596, 4909, 3741, 607, 1134, 607, 519, 4030, 540, 513, 13747, 5856, 543, 4116, 269, 901, 4320, 814, 11542, 519, 1449, 540, 942, 543, 3788, 513, 3407, 4199, 585, 5830, 543, 1346, 14971, 547, 581, 5830, 538, 519, 2104, 563, 305, 1601, 543, 7502, 1512, 630, 17989, 269, 476, 27183, 264, 593, 741, 1433, 849, 20926, 602, 267, 1412, 1492, 2165, 834, 12895, 31805, 257, 568, 513, 535, 1157, 548, 607, 513, 24158, 609, 1896, 6653, 515, 11301, 8339, 901, 25495, 519, 1249, 602, 2201, 5675, 4270, 814, 4421, 811, 12215, 593, 519, 2344, 563, 1607, 1507, 267, 2502, 1433, 568, 585, 1004, 945, 917, 1018, 789, 1616, 547, 2328, 543, 945, 917, 2296, 22433, 789, 991, 547, 5873, 568, 1018, 13852, 814, 547, 2161, 827, 519, 6959, 602, 723, 1212, 696, 883, 741, 5220, 269, 4982, 958, 3730, 547, 513, 27630, 3766, 571, 1457, 543, 513, 9972, 7400, 9614, 267, 11162, 267, 4270, 6441, 32484, 29941, 568, 513, 6653, 543, 12905, 20114, 269, 901, 568, 519, 1655, 3391, 1317, 621, 4267, 8239, 2055, 899, 834, 19675, 594, 946, 1860, 610, 1198, 8119, 834, 1432, 786, 594, 5660, 596, 11504, 519, 5870, 610, 596, 2811, 11504, 519, 5870, 8119, 834, 8649, 594, 530, 5109, 594, 729, 610, 530, 5109, 594, 941, 8119, 834, 3674, 519, 2601, 1946, 2731, 1317, 3267, 24350, 2005, 4267, 18685, 2055, 899, 834, 1432, 12851, 538, 713, 5544, 267, 513, 26893, 610, 4986, 286, 589, 3935, 610, 12931, 20325, 286, 6496, 513, 1974, 979, 3330, 610, 3544, 513, 19722, 1665, 286, 9701, 519, 19722, 1665, 581, 2582, 610, 5595, 24350, 13202, 529, 13852, 267, 1310, 3450, 1603, 585, 1082, 1296, 538, 513, 2647, 3099, 540, 4081, 543, 1870, 5468, 267, 1352, 6487, 519, 2055, 602, 1004, 2356, 2307, 269, 4475, 267, 1352, 6487, 875, 547, 2626, 538, 1913, 602, 1118, 2631, 267, 16436, 513, 12837, 267, 543, 2611, 12300, 563, 763, 11271, 593, 8239, 616, 2653, 547, 1174, 543, 10146, 269, 3962, 7851, 856, 519, 1858, 540, 513, 1966, 267, 11828, 519, 4636, 7140, 602, 5830, 4043, 547, 1118, 267, 543, 6941, 875, 547, 1205, 1394, 593, 3950, 609, 513, 22315, 538, 1688, 269, 2701, 1281, 782, 540, 713, 538, 19599, 10750, 2296, 269, 5047, 267, 972, 616, 1082, 1806, 540, 5220, 8854, 4636, 543, 5220, 2469, 1318, 269, 4746, 693, 519, 1439, 540, 1142, 3184, 568, 513, 2243, 267, 4553, 676, 4267, 267, 865, 602, 3988, 666, 1294, 1018, 789, 4121, 543, 1018, 789, 1869, 991, 547, 960, 593, 563, 763, 3184, 593, 18685, 6257, 1018, 1142, 540, 519, 7436, 1281, 585, 513, 2713, 267, 607, 1134, 607, 519, 6009, 621, 4465, 1405, 1256, 4019, 585, 269, 11153, 3732, 5220, 1397, 519, 7436, 1134, 6964, 269, 1656, 267, 607, 538, 519, 1964, 540, 519, 1433, 267, 519, 1034, 1455, 2055, 616, 12943, 538, 17598, 1469, 563, 1607, 1433, 267, 1412, 27662, 267, 4270, 2000, 32484, 29941, 262, 568, 3730, 547, 513, 1268, 538, 1164, 1153, 267, 2852, 267, 610, 1870, 282, 621, 568, 606, 5393, 1655, 3391, 543, 513, 10950, 8323, 547, 873, 563, 1607, 568, 513, 5059, 267, 16614, 267, 19278, 3391, 547, 3478, 938, 5220, 883, 1434, 3337, 269, 2991, 13977, 19317, 1296, 540, 3450, 1603, 267, 3967, 529, 13852, 6487, 799, 5220, 1346, 616, 543, 10502, 1018, 513, 2812, 873, 269, 2701, 6257, 8239, 543, 6165, 2042, 538, 2081, 602, 1118, 7525, 2631, 269, 2701, 6941, 10502, 1018, 938, 18685, 7436, 798, 543, 4465, 1405, 798, 269, 2701, 849, 4267, 519, 1360, 2055, 602, 3988, 616, 2693, 547, 723, 269, 14755, 1373, 5393, 28505, 543, 4143, 267, 1142, 3184, 3091, 513, 4101, 7688, 4553, 676, 4267, 602, 4734, 1100, 8969, 563, 763, 1557, 1957, 814, 6045, 593, 519, 10373, 2956, 602, 1312, 19416, 5830, 814, 6273, 547, 5640, 945, 616, 16994, 5830, 269, 5637, 5261, 2098, 514, 1087, 518, 543, 3967, 529, 13852, 616, 14222, 24069, 593, 519, 2361, 540, 1603, 585, 782, 5481, 269, 1280, 873, 789, 6166, 519, 6031, 602, 1603, 568, 513, 6612, 799, 10953, 950, 835, 2982, 1719, 593, 621, 269, 0, 1432, 568, 669, 31779, 807, 888, 2419, 31779, 807, 630, 9383, 1695, 5336, 296, 295, 11546, 324, 268, 1695, 264, 568, 519, 1034, 1455, 16770, 10299, 9190, 3968, 538, 519, 772, 2529, 269, 4706, 2407, 2012, 568, 669, 31779, 807, 911, 577, 558, 15384, 630, 10177, 327, 10275, 334, 5336, 288, 295, 2389, 529, 1040, 898, 568, 513, 2186, 540, 4551, 602, 666, 3468, 519, 4050, 529, 267, 29199, 267, 14677, 1460, 267, 606, 639, 267, 23443, 628, 571, 267, 610, 3750, 563, 2419, 31779, 807, 568, 519, 2012, 540, 1896, 2010, 540, 4551, 269, 932, 31779, 807, 911, 577, 5448, 267, 585, 1383, 267, 814, 1044, 513, 2101, 2014, 540, 21901, 585, 5553, 269, 932, 31779, 807, 911, 577, 558, 15384, 568, 16770, 10299, 269, 2290, 8833, 4386, 5097, 538, 519, 21050, 923, 543, 3123, 9726, 690, 3757, 592, 5448, 9006, 699, 636, 4534, 2589, 1331, 2960, 15087, 543, 11926, 540, 1978, 15374, 538, 7498, 292, 1790, 770, 320, 740, 516, 572, 267, 579, 345, 737, 15843 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 19588, 540, 647, 15969, 540, 930, 4600, 602, 695, 809, 5333, 538, 476, 1220, 278, 267, 519, 1888, 3823, 2298, 540, 1272, 538, 519, 9036, 568, 711, 1945, 602, 5004, 3217, 21066, 15042, 269, 4658, 8806, 14437, 827, 621, 1354, 855, 891, 10565, 2680, 602, 1624, 3293, 267, 1118, 873, 29311, 875, 1134, 5630, 538, 519, 9036, 4249, 513, 1883, 1909, 538, 30070, 519, 11832, 269, 898, 568, 711, 513, 5728, 15042, 602, 4986, 1390, 666, 4755, 952, 519, 11832, 568, 538, 513, 2324, 1604, 1141, 646, 568, 4743, 1524, 543, 568, 14129, 856, 7683, 269, 24511, 267, 930, 3549, 723, 6956, 621, 1360, 1134, 269, 2334, 568, 519, 2601, 1946, 789, 2322, 538, 1747, 930, 6127, 547, 5000, 519, 1134, 5630, 540, 741, 5520, 269, 634, 1482, 568, 3020, 585, 3979, 3549, 269, 1717, 621, 568, 8909, 547, 1294, 602, 621, 896, 6050, 513, 4514, 3390, 602, 3085, 1406, 3100, 1271, 269, 3509, 3979, 3549, 723, 2943, 547, 1265, 513, 1259, 547, 4308, 609, 519, 2339, 3927, 563, 288, 12687, 540, 1719, 689, 519, 2622, 2657, 9257, 827, 519, 1523, 540, 1134, 5630, 693, 519, 9036, 563, 763, 2622, 2657, 9257, 630, 21766, 264, 568, 1360, 1454, 7255, 609, 519, 3390, 540, 1134, 5630, 693, 519, 9036, 543, 5795, 606, 4013, 4214, 547, 4766, 621, 269, 898, 568, 3989, 607, 968, 589, 1533, 540, 2247, 1141, 972, 568, 513, 3833, 1434, 3666, 1063, 519, 1983, 267, 2115, 543, 17050, 540, 519, 11832, 543, 519, 2604, 543, 3255, 693, 519, 9036, 269, 26023, 968, 6202, 5630, 693, 519, 9036, 892, 10915, 619, 547, 782, 2609, 602, 1223, 5732, 723, 606, 1764, 593, 519, 2324, 2175, 540, 519, 5520, 269, 898, 2882, 3354, 267, 9882, 540, 519, 22402, 267, 1072, 4027, 540, 4600, 267, 519, 2168, 543, 2790, 2360, 540, 519, 4247, 5645, 856, 267, 9036, 23908, 517, 15299, 3092, 269, 4340, 547, 519, 8556, 15249, 540, 16522, 1815, 543, 7022, 540, 519, 17874, 6109, 29918, 15252, 267, 6424, 10067, 2946, 945, 3370, 513, 1413, 856, 827, 2566, 693, 519, 9036, 968, 11004, 568, 476, 273, 2010, 540, 14242, 267, 835, 602, 3947, 2495, 547, 1018, 649, 798, 543, 1776, 602, 568, 827, 10279, 269, 9861, 8149, 568, 827, 519, 2495, 543, 519, 18399, 1848, 5327, 335, 1047, 782, 602, 267, 538, 4000, 267, 1082, 3549, 6560, 547, 3082, 547, 602, 4641, 563, 288, 7811, 1935, 540, 519, 3390, 540, 1134, 5630, 693, 519, 9036, 585, 1082, 3979, 3549, 454, 302, 1553, 6053, 538, 4000, 267, 1082, 3549, 2911, 827, 519, 1719, 789, 723, 593, 519, 1134, 5630, 540, 741, 5520, 269, 1717, 267, 952, 649, 2628, 811, 3007, 547, 621, 267, 649, 5469, 602, 972, 568, 513, 7934, 1063, 519, 3616, 25730, 540, 1719, 543, 519, 4641, 269, 18776, 568, 711, 585, 27642, 15042, 269, 3979, 3549, 2731, 991, 547, 3479, 2933, 547, 4466, 2081, 547, 2087, 519, 2324, 2175, 269, 898, 568, 827, 267, 8380, 519, 1480, 1373, 538, 519, 4099, 540, 519, 2418, 540, 519, 2754, 585, 922, 1378, 19160, 543, 585, 519, 19160, 540, 519, 1071, 22086, 619, 563, 2791, 666, 849, 1224, 12333, 1427, 20995, 538, 4000, 0, 1432, 568, 661, 14641, 12229, 888, 1432, 568, 661, 14641, 12229, 888, 2207, 303, 6763, 585, 968, 11767, 21215, 12754, 12020, 6100, 901, 1797, 267, 713, 568, 513, 3301, 1062, 602, 568, 9277, 547, 2232, 543, 1491, 1416, 540, 519, 3003, 2115, 540, 606, 27617, 543, 621, 779, 4199, 2115, 3092, 269, 1323, 661, 14641, 12229, 5161, 540, 1312, 12229, 543, 10434, 2264, 602, 568, 1898, 538, 5466, 519, 3003, 1870, 2115, 269, 15380, 606, 27617, 1797, 267, 649, 616, 6158, 827, 689, 513, 5420, 547, 14066, 19007, 4559, 610, 513, 1507, 9467, 1870, 610, 513, 1804, 29665, 1870, 563, 19950, 532, 568, 267, 28000, 540, 519, 2450, 540, 519, 1870, 267, 789, 723, 1482, 2596, 1184, 543, 8060, 547, 1246, 269, 661, 14641, 568, 1898, 513, 1907, 585, 519, 1507, 547, 1804, 1870, 543, 621, 568, 2556, 585, 782, 563, 7628, 938, 6455, 1184, 267, 649, 1336, 606, 4277, 1249, 602, 1169, 1870, 28000, 540, 519, 2450, 814, 1482, 1870, 1184, 267, 1852, 543, 3800, 269, 898, 1281, 1689, 609, 4320, 540, 960, 267, 855, 711, 689, 1870, 1184, 8797, 563, 2304, 661, 14641, 12229, 3335, 5161, 540, 19007, 267, 19098, 267, 19833, 543, 12833, 7860, 267, 27619, 543, 645, 1571, 267, 12020, 267, 5274, 8249, 267, 12525, 525, 543, 5360, 10662, 3092, 269, 1703, 616, 1870, 7299, 8797, 1808, 18317, 11679, 1932, 269, 1809, 789, 616, 7199, 543, 616, 711, 13598, 3283, 563, 1432, 568, 661, 14641, 12229, 286, 1107, 1548, 779, 519, 6355, 10025, 540, 606, 661, 14641, 12229, 888, 6624, 1870, 723, 1894, 609, 5561, 543, 14273, 2066, 519, 1158, 899, 7330, 267, 3624, 267, 10476, 267, 14135, 3092, 269, 634, 1870, 568, 8345, 1063, 2789, 1870, 19728, 267, 2474, 543, 2175, 269, 1306, 519, 960, 6988, 4679, 267, 621, 568, 2352, 547, 4383, 891, 5638, 16924, 563, 9213, 267, 519, 1870, 4238, 616, 10562, 543, 1950, 269, 898, 3568, 1082, 1870, 3001, 3688, 543, 621, 568, 1898, 547, 4383, 519, 27617, 2647, 2200, 2115, 269, 898, 568, 1271, 689, 1870, 5133, 547, 723, 513, 1239, 8699, 543, 6111, 689, 606, 968, 338, 17532, 2707, 540, 5168, 892, 1523, 269, 901, 30417, 519, 10539, 543, 6770, 811, 9355, 543, 6015, 593, 519, 1239, 563, 2207, 303, 12229, 6770, 1082, 1870, 1871, 540, 2789, 8639, 538, 513, 2754, 269, 2368, 540, 873, 723, 1044, 5018, 1934, 563, 268, 4578, 11007, 543, 1239, 6452, 5596, 269, 11814, 532, 606, 13539, 779, 6223, 1308, 1239, 602, 779, 3838, 2066, 689, 2789, 13623, 454, 268, 17179, 1239, 5918, 6473, 543, 1118, 621, 2241, 269, 5272, 4559, 540, 519, 1870, 786, 1294, 519, 1482, 1239, 693, 1022, 1448, 540, 942, 563, 268, 7427, 519, 6355, 1184, 543, 32262, 269, 901, 2306, 1004, 547, 1246, 519, 1184, 3116, 789, 666, 1406, 3136, 519, 960, 693, 782, 563, 268, 6355, 10220, 609, 13170, 1949, 454, 268, 8555, 1407, 12525, 543, 6465, 21881, 10220, 1184, 1519, 29895, 1464, 454, 268, 13722, 10512, 1942, 543, 2799, 12477, 269, 4578, 7041, 543, 1867, 5108, 616, 865, 3728, 267, 621, 4688, 5458, 2179, 540, 29376, 292, 543, 631, 24535, 312, 585, 1870, 563, 268, 8555, 1407, 31740, 7607, 454, 268, 25841, 24093, 543, 2799, 11413, 454, 268, 3143, 811, 968, 15447, 1578, 623, 20449, 892, 543, 922, 6410, 883, 1184, 1759, 1949, 563, 1432, 568, 661, 14641, 12229, 286, 268, 12472, 689, 631, 14641, 547, 13192, 661, 14641, 10298, 454, 300, 8221, 689, 631, 14641, 547, 631, 14641, 4083, 543, 1631, 547, 661, 14641, 454, 22873, 658, 2395, 267, 4213, 941, 1210, 11953, 5934, 3498, 1315, 12229, 602, 5280, 873, 547, 4383, 741, 10049, 4058, 543, 27147, 269, 901, 3301, 1062, 729, 1572, 631, 14641, 269, 1717, 607, 519, 1870, 2115, 2799, 543, 5663, 4559, 4941, 547, 4383, 811, 1184, 267, 4518, 9753, 267, 10049, 4058, 3092, 543, 513, 1007, 3498, 4535, 543, 621, 568, 1572, 607, 968, 300, 14641, 4083, 892, 630, 10048, 3011, 1005, 12754, 4058, 1040, 589, 1007, 8257, 729, 4535, 609, 713, 1107, 623, 15425, 630, 303, 3174, 12020, 543, 6513, 4972, 994, 30952, 267, 1082, 12229, 3435, 2253, 4946, 1007, 2934, 899, 16010, 267, 5274, 8249, 3092, 543, 519, 6355, 2115, 4957, 547, 4383, 519, 27617, 22453, 2115, 563, 1607, 568, 519, 4332, 540, 27617, 12754, 4058, 630, 2207, 303, 1916, 300, 8221, 689, 2201, 6261, 8145, 1047, 661, 14641, 547, 6531, 661, 14641, 10298, 267, 1946, 596, 1058, 798, 621, 1631, 888, 268, 2201, 20031, 1047, 3156, 1107, 2201, 23350, 3498, 1797, 606, 661, 14641, 3590, 602, 779, 18611, 538, 519, 2754, 4087, 543, 593, 922, 1378, 13763, 269, 901, 2337, 873, 547, 4383, 519, 4578, 543, 922, 3354, 269, 3509, 5561, 3494, 602, 621, 568, 15822, 547, 1832, 519, 1239, 543, 1344, 2282, 547, 873, 543, 6417, 676, 873, 269, 1924, 789, 4444, 1804, 13763, 267, 4444, 3301, 1299, 12240, 543, 14764, 519, 3060, 585, 1004, 547, 1569, 519, 3498, 269, 1358, 6108, 5458, 2724, 593, 5989, 269, 1677, 2196, 543, 2226, 713, 661, 14641, 1062, 267, 789, 15313, 1004, 543, 2628, 873, 5458, 14057, 269, 769, 5758, 519, 1942, 540, 519, 2698, 960, 543, 5826, 568, 5230, 563, 268, 13192, 661, 14641, 12229, 1107, 1323, 661, 14641, 1062, 602, 568, 18611, 593, 513, 13192, 7746, 543, 568, 1500, 2139, 547, 6075, 1759, 593, 519, 3747, 269, 769, 713, 2203, 267, 9540, 4213, 1810, 1406, 991, 547, 2226, 513, 7746, 267, 1832, 14126, 827, 1239, 19307, 3092, 563, 1103, 5758, 267, 6531, 661, 14641, 12229, 2141, 2337, 1870, 547, 1376, 609, 1447, 2724, 543, 6108, 607, 543, 950, 922, 2838, 563, 22102, 6355, 1058, 979, 609, 13192, 661, 14641, 12229, 543, 1445, 593, 3395, 519, 1870, 1631, 454, 3963, 568, 661, 14641, 12229, 286, 1107, 8892, 540, 661, 14641, 3466, 1107, 27326, 661, 14641, 1949, 454, 2026, 1870, 3747, 4679, 267, 2221, 779, 3888, 1759, 661, 14641, 1223, 711, 2111, 547, 2743, 1870, 2115, 543, 621, 1291, 547, 811, 9276, 547, 2226, 543, 2688, 1047, 269, 1452, 2025, 3301, 7948, 1406, 4383, 519, 19833, 10414, 14825, 725, 267, 6732, 8818, 547, 741, 1357, 22045, 3092, 269, 589, 1715, 1315, 5822, 5108, 1870, 5411, 2877, 1007, 2934, 899, 454, 268, 16949, 540, 552, 4467, 12692, 2823, 1023, 609, 661, 14641, 547, 1184, 519, 12014, 538, 2228, 7154, 563, 268, 6355, 8227, 6499, 1010, 21527, 543, 5561, 547, 1921, 547, 1010, 661, 14641, 1062, 269, 901, 1131, 948, 11426, 619, 543, 966, 754, 832, 547, 1294, 741, 12014, 543, 1045, 7860, 3092, 693, 835, 1747, 563, 268, 4045, 547, 16353, 29393, 267, 865, 602, 19833, 1268, 3217, 9753, 538, 1483, 942, 269, 19833, 1268, 1272, 1131, 581, 1500, 2653, 543, 2241, 269, 3767, 646, 666, 10505, 1010, 11545, 19833, 18614, 543, 5890, 5151, 1867, 538, 2228, 7154, 563, 268, 1261, 6499, 547, 2671, 1010, 661, 14641, 609, 1010, 10055, 1218, 543, 10748, 6002, 865, 602, 789, 616, 782, 8242, 1483, 942, 609, 3877, 563, 30208, 661, 14641, 10298, 616, 1985, 3942, 540, 4720, 269, 898, 568, 1732, 547, 9772, 621, 543, 1205, 4712, 585, 519, 2104, 269, 634, 1007, 5108, 18317, 11679, 616, 3001, 2509, 606, 6905, 7154, 1141, 649, 616, 10128, 519, 21436, 1870, 609, 741, 4675, 11502, 543, 741, 1849, 1801, 269, 19833, 1004, 616, 4448, 676, 16353, 7343, 338, 543, 5800, 1023, 563, 1432, 568, 661, 14641, 12229, 286, 1107, 1215, 1985, 5108, 661, 14641, 1568, 888, 268, 20865, 519, 8605, 2032, 1107, 1306, 519, 4199, 6165, 10607, 519, 7607, 540, 519, 3498, 543, 4398, 540, 519, 1184, 10607, 269, 901, 5012, 547, 513, 1732, 3351, 5314, 540, 2200, 543, 2327, 602, 729, 5653, 616, 4389, 269, 13724, 538, 519, 1184, 543, 8060, 2337, 547, 2569, 11991, 535, 2774, 687, 543, 2042, 563, 268, 13724, 519, 22637, 593, 519, 4578, 543, 922, 8699, 1107, 1323, 4277, 1249, 602, 19674, 4166, 1310, 1210, 519, 661, 14641, 568, 519, 8851, 540, 968, 293, 792, 2986, 32148, 892, 607, 519, 1239, 8699, 543, 6015, 4679, 563, 268, 22217, 1518, 519, 20104, 1184, 1107, 22217, 1518, 519, 1184, 609, 513, 5693, 3989, 5411, 543, 519, 4397, 17016, 563, 268, 16797, 543, 10866, 27561, 1107, 661, 14641, 2337, 547, 11753, 519, 1239, 2066, 2789, 13623, 543, 621, 2337, 547, 5352, 519, 1867, 693, 513, 2362, 4908, 543, 693, 513, 1454, 1732, 2298, 1377, 563, 268, 14568, 4030, 883, 1184, 543, 8060, 454, 6701, 596, 4712, 585, 1210, 513, 13192, 661, 14641, 12229, 888, 25363, 13586, 606, 661, 14641, 568, 711, 513, 1507, 4305, 269, 898, 3340, 23982, 543, 5458, 4674, 547, 1118, 621, 4755, 269, 3509, 2053, 267, 649, 1336, 602, 9972, 2359, 6499, 3388, 267, 855, 789, 616, 711, 11319, 610, 21338, 2933, 547, 519, 4266, 547, 1118, 621, 4755, 269, 901, 5012, 547, 10539, 543, 729, 5653, 540, 2200, 267, 2724, 543, 942, 563, 268, 3502, 3478, 519, 1318, 1239, 593, 1318, 942, 547, 1118, 513, 3375, 269, 1411, 723, 1004, 547, 948, 596, 267, 855, 789, 616, 782, 4881, 1472, 543, 29289, 543, 4383, 519, 1482, 1239, 547, 2285, 563, 268, 2311, 1459, 267, 596, 616, 1739, 15015, 1184, 609, 2789, 1239, 5036, 269, 901, 568, 513, 5929, 2013, 267, 1141, 2789, 8257, 5411, 1832, 519, 1482, 1239, 538, 1114, 12043, 543, 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 ]

[ 571, 676, 519, 942, 2589, 2408, 563, 13146, 2090, 723, 3254, 602, 1004, 609, 19576, 781, 8376, 849, 723, 2530, 540, 519, 8229, 454, 754, 902, 602, 3132, 519, 32239, 562, 648, 18090, 31058, 269, 715, 648, 18090, 31058, 267, 799, 568, 5702, 454, 22366, 547, 22006, 267, 568, 519, 1292, 3114, 28034, 540, 519, 25091, 8401, 1062, 267, 519, 454, 4820, 540, 519, 8401, 1062, 602, 8060, 1082, 13128, 3252, 540, 519, 1560, 267, 971, 607, 454, 335, 592, 572, 543, 1973, 2604, 269, 634, 2530, 540, 562, 648, 18090, 31058, 1522, 948, 2491, 1896, 540, 519, 454, 12061, 2173, 19318, 2934, 2938, 538, 19576, 781, 8376, 267, 1519, 9854, 543, 17244, 540, 454, 29188, 2604, 7939, 563, 7049, 8157, 15486, 540, 19576, 781, 8376, 454, 14722, 723, 4857, 1896, 4719, 13592, 2404, 609, 454, 303, 1046, 8657, 781, 8376, 267, 543, 1082, 811, 6090, 723, 1044, 17895, 8271, 5532, 547, 519, 4524, 563, 6597, 3539, 519, 6090, 3743, 585, 15110, 2665, 540, 19576, 781, 8376, 666, 948, 454, 516, 572, 2117, 1667, 1174, 1312, 15110, 543, 26742, 19631, 2665, 269, 634, 1482, 6090, 543, 5946, 602, 454, 732, 12012, 538, 15110, 2665, 949, 849, 581, 12012, 538, 26742, 19631, 2665, 676, 2825, 454, 1729, 343, 1231, 610, 824, 2188, 269, 12824, 849, 4126, 602, 12423, 6090, 786, 948, 2697, 454, 2908, 2081, 540, 8156, 19576, 781, 8376, 563, 309, 21905, 607, 513, 2009, 2014, 585, 19576, 781, 8376, 454, 309, 21905, 616, 1776, 2009, 2825, 9594, 585, 19576, 781, 454, 291, 1047, 848, 269, 4658, 945, 2919, 29363, 14527, 1310, 513, 476, 4489, 279, 14798, 15435, 941, 2663, 454, 560, 4459, 523, 609, 4049, 267, 11636, 19576, 781, 6438, 2589, 269, 589, 1895, 540, 15990, 3150, 2021, 454, 16467, 539, 2147, 2589, 1310, 24931, 15601, 3644, 5563, 269, 769, 891, 2021, 267, 519, 454, 22131, 2402, 267, 799, 2663, 20374, 267, 941, 5532, 547, 513, 10151, 6553, 540, 519, 454, 8448, 3194, 883, 19576, 781, 8376, 15486, 454, 8448, 1382, 5267, 602, 519, 1591, 781, 3940, 12871, 1062, 949, 3111, 454, 514, 1004, 609, 19576, 781, 8376, 267, 4929, 5946, 547, 1628, 909, 547, 5739, 2157, 543, 454, 339, 3419, 3455, 1591, 2669, 269, 16952, 2090, 723, 1336, 2963, 602, 804, 7927, 540, 3940, 602, 454, 16467, 3330, 2634, 2281, 540, 1004, 609, 19576, 781, 8376, 949, 3565, 547, 519, 2669, 454, 1993, 11409, 267, 543, 602, 6553, 610, 936, 560, 574, 1637, 540, 2281, 630, 20357, 540, 13802, 610, 824, 454, 2399, 832, 264, 949, 1404, 513, 1909, 538, 519, 2068, 269, 1717, 267, 519, 5730, 1909, 540, 519, 3940, 12074, 454, 8145, 1622, 7164, 269, 2368, 3173, 1256, 1179, 3634, 602, 519, 3940, 19221, 568, 851, 540, 606, 454, 12584, 22066, 3801, 547, 2149, 519, 1591, 269, 2755, 24197, 14524, 267, 19842, 454, 560, 816, 267, 6553, 267, 543, 1082, 824, 10408, 3157, 949, 3565, 547, 19576, 781, 454, 291, 1047, 848, 267, 519, 4890, 2014, 540, 519, 22006, 1591, 2669, 568, 1869, 3768, 17827, 269, 0, 11966, 476, 2190, 540, 476, 12553, 3267, 10705, 513, 2203, 2882, 5872, 630, 29589, 539, 264, 2360, 547, 2272, 585, 875, 519, 1198, 540, 513, 4756, 2242, 609, 519, 2418, 540, 824, 4632, 563, 2690, 519, 2495, 540, 824, 3681, 267, 1294, 7790, 5793, 9146, 19502, 269, 6258, 827, 7900, 30654, 1210, 11550, 290, 23834, 300, 269, 19983, 2360, 616, 1455, 538, 9695, 2079, 267, 30654, 267, 543, 2966, 6901, 16638, 713, 5816, 2022, 267, 594, 2491, 5872, 2360, 267, 875, 547, 4612, 873, 538, 8579, 6272, 267, 543, 519, 2042, 596, 786, 3068, 952, 596, 1810, 1406, 1331, 873, 538, 707, 2203, 269, 13575, 267, 1354, 4358, 547, 3009, 267, 596, 1058, 2328, 1524, 519, 1382, 2243, 267, 3313, 519, 3617, 8579, 1505, 4433, 264, 543, 1287, 1265, 856, 799, 590, 3008, 5650, 4433, 264, 1489, 713, 1826, 540, 2079, 269, 19983, 2360, 2049, 950, 519, 1198, 540, 835, 4756, 5673, 593, 519, 1871, 540, 1776, 4756, 269, 634, 1187, 284, 11743, 4781, 6920, 602, 519, 1611, 585, 1142, 1895, 786, 581, 28367, 269, 2060, 606, 5872, 267, 519, 2474, 616, 1101, 556, 23912, 547, 5330, 547, 519, 1931, 540, 519, 4632, 538, 519, 14160, 19798, 3948, 269, 634, 3681, 3254, 5815, 799, 4632, 786, 1031, 585, 519, 1535, 14289, 267, 10250, 4756, 267, 543, 3210, 4756, 269, 11822, 5872, 4729, 269, 4935, 267, 645, 265, 288, 3587, 589, 265, 289, 952, 589, 9551, 525, 645, 538, 519, 14160, 19798, 3948, 269, 10705, 513, 2203, 2882, 5872, 630, 29589, 539, 264, 2360, 547, 2272, 585, 875, 519, 1198, 540, 513, 4756, 2242, 609, 519, 2418, 540, 824, 4632, 269, 18140, 1154, 19983, 12186, 540, 22953, 17738, 12253, 700, 6686, 20657, 651, 476, 1708, 271, 268, 4962, 268, 2537, 269, 2290, 10158, 30654, 543, 29375, 302, 654, 17751, 30654, 269, 4635, 590, 3008, 10378, 547, 4530, 267, 1160, 2041, 543, 18224, 19983, 12186, 538, 12430, 17738, 30227, 645, 269, 3400, 767, 548, 267, 12313, 18404, 3700, 5549, 1421, 17842, 267, 14411, 267, 4516, 9474, 22552, 16898, 19983, 2360, 630, 528, 15645, 730, 2360, 264, 538, 9695, 3631, 7001, 875, 519, 1198, 540, 606, 4830, 4756, 593, 519, 8200, 4756, 9775, 607, 513, 1599, 540, 513, 3791, 4756, 269, 1703, 616, 1079, 8747, 267, 547, 9414, 1732, 519, 2360, 540, 3750, 3346, 543, 540, 11132, 4082, 563, 4415, 606, 5872, 267, 519, 2474, 616, 1101, 556, 23912, 547, 5330, 547, 519, 1931, 540, 519, 4632, 538, 519, 14160, 19798, 3948, 269, 11426, 1944, 519, 18087, 17839, 5336, 324, 1512, 27834, 18140, 10326, 1377, 476, 272, 269, 7490, 1294, 7151, 476, 5379, 269, 274, 1133, 29446, 30654, 585, 5565, 8862, 599, 5071, 609, 19983, 540, 519, 12319, 540, 11550, 290, 23834, 300, 585, 513, 5249, 1383, 540, 875, 547, 1711, 606, 5872, 4729, 538, 713, 3510, 269, 6271, 8642, 8579, 2645, 693, 938, 12871, 568, 1572, 606, 19983, 18140, 269, 6270, 513, 4729, 5654, 899, 519, 12125, 1934, 269, 634, 5872, 19502, 1599, 5932, 513, 2241, 5872, 4729, 585, 1079, 17574, 1239, 269, 901, 1826, 540, 5750, 14550, 519, 2360, 1063, 4632, 799, 616, 711, 4830, 269, 901, 3561, 6257, 875, 547, 4729, 8589, 2360, 540, 5872, 2474, 689, 1585, 9695, 3631, 267, 1210, 519, 4729, 31200, 3890, 1599, 19502, 31200, 3890, 568, 513, 13598, 4729, 1922, 4233, 267, 799, 24693, 1082, 2203, 268, 15953, 338, 267, 899, 561, 332, 267, 1350, 332, 267, 561, 1889, 267, 561, 1067, 9556, 3092, 563, 11328, 9146, 1773, 1824, 476, 272, 269, 30654, 17738, 609, 5872 ]

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

[ 0, 763, 15144, 569, 7882, 16251, 15068, 5553, 3476, 982, 741, 13413, 543, 5030, 593, 654, 337, 13370, 6816, 538, 519, 11848, 7909, 267, 513, 811, 2487, 1353, 1336, 269, 634, 11864, 1185, 1044, 5258, 689, 824, 7882, 16251, 17005, 2066, 519, 8832, 25955, 676, 8375, 4262, 2157, 4611, 689, 2518, 8337, 1376, 476, 1428, 267, 1822, 1296, 1354, 267, 607, 4080, 676, 513, 1895, 540, 3173, 538, 5125, 267, 18940, 543, 6576, 563, 14722, 723, 1044, 19832, 676, 519, 15144, 569, 7882, 1054, 543, 1082, 1589, 649, 1522, 581, 2111, 547, 4482, 519, 2249, 1394, 689, 519, 21549, 269, 1809, 972, 779, 1869, 513, 1390, 4308, 649, 1810, 1406, 917, 827, 519, 28458, 569, 533, 778, 344, 1457, 916, 563, 1103, 519, 1007, 1382, 13231, 344, 3370, 538, 519, 4760, 2372, 15715, 776, 3163, 17352, 267, 3173, 6594, 519, 24236, 15885, 540, 3327, 267, 9436, 267, 16247, 543, 1193, 2632, 1756, 538, 513, 1305, 540, 7882, 1054, 7633, 543, 7633, 8151, 689, 476, 2412, 267, 1822, 547, 476, 275, 267, 1822, 1296, 2025, 689, 8832, 27584, 4997, 267, 14522, 267, 519, 962, 4157, 517, 543, 654, 337, 13370, 6816, 269, 4256, 2832, 729, 547, 1449, 1022, 1761, 10593, 538, 519, 7882, 16251, 685, 7226, 543, 11326, 543, 849, 547, 1413, 585, 4191, 540, 513, 19717, 1369, 741, 1378, 1604, 269, 634, 3744, 4362, 602, 9436, 24236, 15885, 540, 7882, 16251, 593, 654, 337, 13370, 6816, 543, 519, 20018, 3327, 8959, 547, 6521, 950, 519, 2916, 12699, 909, 1472, 476, 1015, 267, 1822, 1296, 1354, 267, 1282, 1018, 814, 1044, 7123, 2713, 2175, 267, 1354, 7882, 16251, 5747, 1055, 267, 543, 789, 7283, 24240, 563, 310, 944, 569, 7882, 16251, 693, 519, 21977, 7304, 11701, 23617, 1163, 1600, 1472, 476, 1428, 267, 1822, 1296, 1354, 267, 543, 519, 3283, 538, 853, 269, 6754, 6816, 538, 14522, 1163, 1600, 1472, 476, 277, 267, 1822, 1296, 3516, 269, 634, 3803, 540, 1346, 7882, 16251, 1185, 1713, 2242, 1369, 741, 13666, 8084, 5888, 267, 799, 5267, 2242, 538, 741, 1604, 865, 593, 1354, 789, 4682, 856, 972, 269, 654, 337, 13370, 6816, 7882, 16251, 1558, 972, 27757, 930, 476, 275, 267, 1822, 1032, 3516, 563, 763, 3173, 849, 4362, 602, 519, 19941, 3327, 24236, 2418, 7000, 513, 7934, 538, 519, 9600, 543, 11950, 538, 519, 11326, 540, 519, 654, 337, 13370, 6816, 7882, 16251, 543, 741, 13413, 563, 14071, 1095, 2541, 713, 9356, 519, 12402, 540, 590, 9200, 1014, 7882, 16251, 547, 7048, 593, 741, 1378, 14425, 540, 3170, 547, 2661, 998, 519, 24215, 10792, 4672, 5736, 24475, 267, 6466, 654, 337, 13370, 7882, 16251, 267, 17005, 538, 7646, 518, 2175, 267, 1152, 1705, 711, 991, 547, 2223, 1767, 23718, 1488, 28500, 689, 519, 25227, 7467, 540, 7849, 3778, 13198, 558, 639, 267, 2160, 540, 670, 1564, 1074, 328, 267, 538, 513, 2046, 5305, 269, 1488, 28500, 9859, 519, 1895, 540, 1382, 4600, 563, 310, 26917, 6816, 7633, 1185, 5232, 540, 1193, 2632, 1756, 543, 16247, 602, 5815, 513, 811, 3532, 2095, 540, 5127, 13702, 2282, 519, 1439, 540, 519, 2551, 779, 6228, 267, 799, 949, 7654, 723, 4299, 519, 3044, 540, 519, 7882, 16251, 685, 6704, 1216, 267, 519, 1353, 3769, 563, 763, 3173, 1589, 1018, 949, 723, 3366, 547, 713, 654, 337, 13370, 6816, 7882, 16251, 685, 27757, 930, 616, 2110, 3410, 2621, 1519, 3665, 4365, 899, 4764, 593, 6777, 602, 1131, 723, 1500, 2175, 1932, 476, 5390, 585, 7882, 16251, 547, 1265, 1426, 602, 568, 1547, 2334, 14486, 949, 723, 3366, 547, 513, 6749, 538, 2551, 543, 267, 6038, 563, 763, 3262, 540, 3425, 568, 1175, 1776, 3693, 269, 634, 9998, 2963, 540, 3425, 538, 519, 6532, 7389, 1394, 1586, 547, 930, 476, 1911, 1296, 1310, 519, 1034, 2487, 5642, 269, 898, 779, 1561, 321, 762, 602, 649, 3580, 1265, 2963, 602, 3425, 32170, 7882, 16251, 593, 654, 337, 13370, 6816, 267, 519, 3173, 2161, 267, 2705, 267, 649, 666, 1406, 4341, 856, 519, 1981, 789, 949, 723, 5129, 851, 538, 741, 1378, 14486, 269, 0, 21430, 606, 20308, 10934, 609, 21145, 8606, 1562, 454, 4131, 3988, 1445, 593, 519, 4525, 789, 1416, 827, 547, 1118, 741, 1378, 16198, 543, 8753, 563, 2414, 1569, 713, 2407, 5850, 543, 4647, 519, 2707, 3009, 596, 1590, 581, 513, 4759, 269, 630, 2252, 596, 616, 2907, 513, 4759, 267, 2845, 538, 1934, 8094, 294, 664, 19957, 1569, 547, 713, 5850, 543, 936, 513, 4627, 811, 267, 7132, 6030, 543, 10274, 2336, 294, 664, 19957, 1569, 547, 7366, 540, 3108, 4502, 540, 1900, 8386, 9912, 14839, 6030, 543, 18862, 585, 5813, 543, 6881, 2443, 782, 1247, 5885, 606, 4830, 3135, 269, 11905, 3009, 543, 1239, 568, 3769, 865, 602, 596, 666, 811, 3362, 4019, 1018, 596, 1451, 538, 707, 1378, 960, 563, 763, 18862, 616, 1360, 5363, 547, 1847, 689, 834, 302, 5622, 334, 267, 3579, 10590, 547, 875, 547, 2965, 11298, 519, 3579, 563, 300, 20047, 849, 973, 10079, 513, 12353, 20394, 267, 634, 6713, 267, 799, 5654, 811, 5702, 693, 519, 2645, 267, 519, 3652, 267, 543, 519, 4808, 543, 875, 789, 960, 538, 2259, 563, 8450, 5439, 540, 3388, 596, 2744, 1569, 547, 912, 5415, 20861, 338, 6423, 2353, 9890, 454, 9773, 9725, 14333, 332, 2355, 547, 10439, 1125, 5384, 10022, 4578, 454, 763, 5432, 855, 896, 4310, 11768, 568, 513, 1434, 1259, 547, 1413, 693, 3270, 936, 942, 563, 1692, 547, 10439, 1125, 1160, 1636, 687, 538, 681, 454, 2467, 616, 1082, 2081, 547, 1397, 2694, 540, 513, 2898, 269, 3371, 616, 2656, 835, 2000, 29794, 585, 519, 811, 1455, 3283, 563, 309, 528, 517, 16211, 12810, 543, 5548, 320, 684, 599, 10222, 836, 1637, 538, 681, 454, 323, 15505, 597, 10189, 676, 681, 6504, 25306, 2306, 519, 9273, 543, 28321, 3551, 267, 609, 513, 1906, 3515, 540, 3009, 269, 0, 1103, 2487, 2053, 267, 13778, 4105, 15455, 723, 1044, 1336, 269, 3163, 1175, 3884, 1406, 782, 519, 942, 4440, 519, 1034, 26656, 21300, 269, 23448, 1898, 616, 3688, 602, 7866, 2932, 267, 4666, 11326, 267, 15877, 11937, 267, 543, 6114, 547, 9688, 532, 2152, 563, 6124, 8906, 666, 1256, 6655, 4241, 13655, 540, 7164, 1480, 2249, 543, 2831, 269, 1358, 666, 581, 10565, 607, 789, 3100, 899, 4666, 7068, 585, 519, 1101, 942, 1310, 513, 21300, 11318, 20503, 563, 1015, 10395, 808, 11481, 1323, 6827, 528, 454, 5278, 3173, 2648, 741, 21297, 269, 7605, 25053, 543, 15074, 11294, 748, 2249, 267, 711, 513, 562, 7360, 18397, 269, 3807, 25015, 267, 513, 5177, 11001, 10272, 3624, 269, 1879, 1352, 729, 3254, 513, 2027, 8093, 267, 1352, 729, 9599, 676, 519, 7068, 262, 17895, 8163, 269, 26187, 559, 267, 2663, 5219, 547, 607, 667, 2967, 327, 7699, 7254, 336, 542, 326, 267, 649, 696, 476, 1240, 22090, 27128, 5180, 1010, 5023, 454, 9336, 17895, 1185, 2178, 24424, 267, 835, 3364, 1175, 538, 513, 1166, 10133, 269, 634, 8545, 568, 9800, 693, 713, 942, 269, 901, 8966, 13442, 2306, 946, 540, 834, 5979, 3591, 257, 20830, 547, 3460, 676, 1797, 540, 26869, 269, 8805, 320, 21297, 729, 513, 3787, 540, 29152, 269, 12321, 1328, 666, 16783, 609, 12105, 5163, 538, 519, 3529, 540, 1272, 563, 32701, 267, 519, 476, 276, 1240, 2929, 4458, 6040, 8093, 3838, 6190, 7907, 609, 513, 2036, 609, 575, 1564, 543, 824, 8978, 7919, 602, 3744, 1522, 7620, 1628, 593, 782, 519, 2038, 1166, 10133, 269, 898, 1185, 1256, 2016, 519, 21297, 20182, 3828, 626, 930, 8969, 1652, 30980, 910, 27712, 543, 606, 655, 2158, 269, 3097, 280, 17020, 545, 1824, 723, 1044, 1434, 23302, 454, 303, 580, 4445, 24481, 6512, 545, 1824, 20374, 538, 519, 476, 4198, 271, 338, 269, 6145, 1034, 22415, 1667, 267, 789, 723, 1044, 4898, 2685, 11207, 1114, 538, 741, 1360, 1378, 1505, 269, 1452, 6512, 545, 1824, 7902, 547, 581, 19632, 689, 519, 3688, 540, 1714, 330, 267, 737, 30865, 5622, 543, 1566, 1601, 636, 269, 31453, 607, 1454, 607, 14912, 267, 6512, 545, 1824, 723, 1044, 519, 2547, 7928, 2479, 26572, 839, 602, 2479, 5030, 563, 10303, 972, 616, 711, 1022, 23029, 2831, 267, 519, 3173, 5828, 547, 519, 6805, 1895, 585, 4030, 883, 519, 2932, 540, 7919, 269, 19877, 338, 7000, 1945, 26648, 538, 519, 476, 2735, 271, 338, 269, 634, 1416, 1652, 3662, 729, 5827, 540, 1831, 3238, 9425, 16172, 563, 1432, 1500, 713, 4641, 865, 6727, 729, 519, 4070, 540, 519, 7953, 540, 519, 6512, 545, 2393, 269, 5272, 540, 519, 4395, 7953, 1185, 1079, 4052, 19462, 267, 543, 1142, 540, 519, 12042, 7953, 1185, 835, 269, 901, 11460, 8604, 18633, 269, 11048, 267, 538, 1899, 609, 519, 22168, 267, 24549, 832, 14059, 741, 1505, 267, 1175, 899, 519, 9335, 14840, 1676, 267, 2899, 789, 723, 1044, 27086, 563, 7343, 30068, 267, 538, 476, 1001, 280, 267, 5027, 6268, 729, 5340, 593, 519, 3803, 476, 3066, 7729, 30416, 538, 15882, 269, 898, 7000, 602, 519, 3173, 2219, 602, 835, 2249, 267, 24755, 518, 22455, 3235, 7596, 9850, 267, 729, 5963, 1079, 269, 1715, 2249, 723, 1044, 5219, 547, 607, 24755, 518, 22455, 586, 597, 7806, 329, 538, 1931, 547, 2463, 519, 2199, 5169, 540, 519, 3662, 3097, 279, 654, 768, 4975, 454, 1103, 476, 1001, 279, 267, 10007, 723, 1044, 9916, 689, 519, 8225, 27963, 20044, 773, 15142, 269, 12321, 1328, 1185, 2634, 17494, 950, 3478, 4712, 10007, 585, 606, 3606, 1382, 269, 11048, 267, 2429, 8860, 543, 4718, 532, 267, 8966, 15437, 3366, 547, 1413, 1107, 543, 621, 9168, 1390, 5132, 454, 20524, 532, 1018, 13251, 519, 7164, 18707, 267, 519, 5439, 723, 1044, 1085, 10165, 543, 25274, 4824, 269, 634, 2146, 540, 25310, 7902, 12303, 14678, 269, 6969, 8518, 31305, 25310, 723, 1044, 1500, 676, 513, 14762, 1895, 540, 17494, 269, 901, 949, 5051, 3280, 899, 513, 2757, 4110, 540, 25711, 267, 18562, 621, 4951, 513, 1272, 519, 1747, 621, 729, 711, 4397, 563, 763, 10007, 723, 1044, 476, 4335, 2929, 1296, 3516, 607, 519, 1158, 729, 519, 26026, 539, 269, 4107, 12665, 8815, 602, 621, 729, 513, 4666, 1858, 1510, 5135, 269, 1809, 930, 10007, 723, 1044, 15993, 539, 865, 602, 789, 11696, 1194, 519, 28565, 540, 513, 11112, 1558, 24227, 269, 901, 9672, 602, 519, 4666, 7997, 8659, 3063, 1272, 1107, 543, 9797, 811, 5135, 1107, 982, 24455, 1185, 31665, 269, 3097, 278, 5153, 683, 13145, 547, 22660, 2473, 454, 2304, 6827, 528, 2473, 568, 519, 12357, 1445, 540, 513, 3621, 17551, 269, 898, 5161, 540, 2038, 30900, 540, 30900, 267, 2831, 10362, 547, 3425, 269, 1323, 6827, 528, 2473, 12582, 1406, 581, 513, 929, 1493, 855, 513, 3165, 269, 1924, 713, 6264, 8001, 729, 4362, 547, 581, 15534, 950, 519, 3173, 6743, 693, 930, 540, 519, 9510, 30900, 602, 723, 1044, 9800, 1318, 1631, 563, 7197, 2043, 5433, 602, 13755, 6804, 646, 341, 8127, 543, 546, 23677, 723, 1044, 593, 519, 5377, 540, 519, 3529, 269, 901, 1797, 602, 2473, 8604, 519, 9838, 607, 519, 1079, 24888, 2249, 269, 26187, 559, 8906, 6462, 713, 1523, 269, 5027, 1401, 4461, 3502, 17214, 454, 7049, 2045, 6268, 5401, 602, 3781, 6420, 543, 688, 326, 8127, 1185, 606, 22660, 602, 4839, 3481, 856, 1454, 4505, 269, 634, 13972, 5828, 547, 5027, 781, 5413, 950, 8093, 4362, 538, 26288, 538, 476, 1001, 272, 269, 898, 729, 606, 2038, 688, 326, 8127, 4990, 602, 729, 827, 476, 1911, 2929, 1296, 3105, 563, 2026, 513, 1267, 540, 688, 326, 8127, 1281, 711, 723, 7633, 267, 12423, 621, 729, 834, 3697, 32125, 538, 513, 8093, 2594, 2437, 607, 835, 10196, 27824, 6602, 1185, 3681, 11021, 602, 22660, 2473, 729, 711, 2695, 880, 344, 552, 1564, 267, 2705, 538, 782, 5506, 621, 7902, 811, 3165, 3097, 277, 2189, 9416, 21646, 454, 10666, 476, 272, 4939, 540, 519, 8964, 7000, 602, 519, 17878, 1185, 22405, 543, 2960, 593, 519, 9207, 728, 267, 538, 1899, 609, 519, 22405, 543, 2960, 3337, 267, 519, 21300, 7953, 1522, 16826, 1142, 1367, 781, 834, 325, 5424, 21646, 1701, 11048, 267, 9039, 540, 891, 15455, 729, 1585, 22405, 543, 2960, 15244, 269, 476, 3422, 276, 3445, 6349, 316, 9866, 612, 539, 3744, 538, 9416, 21646, 723, 1044, 19818, 344, 609, 1152, 835, 21432, 8093, 31937, 267, 1310, 799, 602, 789, 1185, 2947, 269, 23225, 2043, 723, 4862, 540, 3687, 529, 4768, 760, 639, 267, 519, 10545, 634, 1886, 617, 269, 20523, 519, 1886, 16104, 723, 1044, 1079, 17574, 23097, 2803, 945, 3335, 669, 1078, 2043 ]

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

[ 2097, 547, 1769, 950, 519, 6075, 5360, 1622, 1310, 1373, 536, 2683, 1586, 585, 519, 1482, 6221, 543, 7472, 519, 666, 576, 1194, 2638, 547, 6961, 602, 8569, 729, 1500, 269, 1635, 519, 942, 519, 6109, 4991, 547, 519, 5377, 540, 713, 1966, 267, 2705, 267, 519, 10419, 15249, 949, 723, 8149, 519, 6760, 1082, 2053, 543, 2451, 519, 3919, 269, 23618, 532, 10963, 1310, 519, 1249, 6104, 8460, 2370, 282, 6604, 568, 519, 1655, 3070, 269, 634, 15658, 1370, 1198, 540, 15569, 666, 1683, 606, 2500, 15324, 1852, 269, 19098, 19475, 3848, 476, 273, 4330, 875, 513, 6109, 521, 2707, 6054, 267, 13746, 267, 543, 3366, 7970, 1106, 606, 20894, 13009, 602, 2636, 4830, 2912, 6002, 547, 10250, 8852, 998, 1585, 5933, 540, 4393, 269, 901, 1852, 568, 849, 606, 1271, 10512, 4183, 540, 1134, 27059, 8051, 1949, 269, 6884, 8852, 1205, 4503, 538, 519, 1062, 269, 1635, 1739, 519, 20894, 13009, 267, 2359, 666, 3605, 1141, 606, 5470, 7018, 269, 11153, 1808, 1852, 2553, 3565, 547, 519, 20894, 13009, 269, 623, 1066, 3518, 1229, 26671, 269, 623, 1066, 3518, 1229, 6054, 630, 338, 2297, 9753, 267, 11288, 711, 1182, 267, 1121, 8636, 766, 1443, 1182, 267, 543, 865, 593, 264, 616, 18615, 569, 22921, 676, 519, 17002, 543, 1450, 1169, 11834, 547, 581, 4857, 19918, 269, 901, 14998, 519, 10072, 543, 9477, 540, 513, 2582, 2680, 630, 600, 784, 1082, 5215, 264, 998, 519, 8051, 1062, 269, 9453, 513, 2189, 11090, 267, 835, 11834, 5654, 1360, 1454, 899, 1776, 269, 7638, 4328, 2883, 1239, 543, 16439, 8852, 1131, 581, 2352, 610, 1256, 7543, 1510, 840, 333, 3518, 1229, 2707, 6054, 563, 736, 476, 5197, 3848, 476, 275, 634, 28521, 18888, 7981, 521, 269, 1635, 23454, 2147, 8852, 1927, 883, 2027, 13746, 267, 519, 1062, 2488, 513, 13801, 2594, 540, 606, 3003, 1362, 540, 2621, 269, 1280, 713, 3483, 267, 8907, 4783, 1949, 946, 519, 6455, 4760, 543, 519, 6666, 2256, 328, 14186, 4760, 269, 4427, 338, 573, 10706, 27439, 7970, 269, 5565, 13564, 10706, 3366, 7970, 616, 1031, 585, 13830, 11834, 2680, 3877, 538, 519, 8907, 4783, 281, 519, 11891, 543, 8121, 13564, 10706, 3366, 7970, 269, 634, 9042, 540, 2472, 6971, 9424, 593, 1688, 538, 519, 11891, 13564, 10706, 5638, 543, 4679, 519, 5561, 21356, 538, 519, 8121, 13564, 10706, 5638, 269, 634, 2256, 18967, 540, 6666, 6971, 5561, 21356, 538, 519, 8121, 13564, 10706, 5638, 269, 1452, 13564, 10706, 5638, 1683, 6402, 1394, 547, 4760, 13366, 543, 547, 519, 2707, 6054, 602, 9676, 519, 2621, 269, 4937, 27439, 7970, 269, 634, 2489, 24432, 1852, 6589, 616, 519, 4493, 585, 2883, 3948, 7041, 269, 28521, 4783, 8852, 1860, 519, 1739, 2489, 24432, 6589, 281, 6455, 267, 11891, 267, 1942, 540, 5370, 4421, 267, 8121, 267, 543, 6666, 269, 642, 537, 7129, 602, 17412, 2534, 9676, 538, 13746, 543, 13564, 10706, 3366, 7970, 2095, 883, 519, 2489, 24432, 547, 9337, 891, 6589, 269, 4935, 649, 723, 513, 2347, 20894, 13009, 689, 519, 2883, 6898, 547, 519, 2707, 6054, 3842, 519, 2489, 24432, 267, 13564, 10706, 3366, 7970, 267, 543, 2027, 13746, 269, 521, 269, 634, 8907, 4783, 18271, 1896, 10151, 543, 8628, 6119, 602, 3565, 547, 519, 20894, 13009, 269, 634, 1739, 616, 6093, 1806, 281, 7046, 6455, 1931, 3758, 2982, 519, 4567, 540, 6075, 9753, 269, 1744, 6235, 2845, 23403, 9753, 25855, 1282, 519, 1974, 269, 5638, 3758, 2488, 6075, 5491, 1239, 269, 19833, 1931, 533, 2056, 3758, 3568, 1930, 9753, 711, 2943, 25855, 610, 536, 2683, 269, 7982, 19195, 3758, 3568, 6075, 9753, 585, 856, 6361, 3613, 1442, 3688, 269, 642, 537, 7815, 3758, 568, 513, 28094, 540, 782, 4760, 642, 537, 7129, 11540, 547, 519, 2489, 24432, 269, 7457, 6513, 338, 7457, 8060, 2061, 543, 3713, 18977, 543, 10363, 1569, 547, 519, 6109, 521, 7221, 269, 634, 2168, 7221, 693, 1981, 538, 519, 8907, 4783, 616, 6427, 1559, 543, 6666, 269, 7799, 1746, 1569, 547, 891, 3688, 2882, 281, 654, 732, 5264, 3354, 267, 971, 607, 31966, 267, 32302, 267, 543, 22651, 269, 3493, 657, 1746, 6666, 3232, 538, 519, 4871, 269, 4635, 513, 2922, 610, 3781, 16005, 4216, 585, 6666, 269, 700, 12177, 6666, 2721, 619, 543, 1760, 525, 538, 519, 6666, 2256, 328, 14186, 8257, 269, 6176, 568, 849, 606, 1271, 10697, 693, 1981, 269, 7457, 1852, 936, 1344, 3322, 28142, 1569, 547, 6054, 602, 1852, 2168, 7221, 1519, 2707, 6054, 267, 13746, 267, 543, 3366, 7970, 269, 1323, 1367, 609, 19727, 24071, 1569, 547, 5638, 666, 3927, 13861, 519, 2168, 7221, 540, 519, 6109, 269, 634, 1739, 616, 1806, 540, 1569, 4220, 538, 519, 8907, 4783, 281, 476, 272, 269, 1323, 1367, 609, 1569, 547, 519, 8121, 13564, 10706, 24432, 1223, 4894, 1010, 610, 1200, 2272, 630, 528, 2576, 3116, 521, 264, 689, 519, 2835, 269, 2060, 1100, 2594, 540, 519, 2272, 267, 519, 6109, 1131, 711, 6494, 519, 6075, 10865, 6898, 269, 476, 273, 269, 7457, 547, 6455, 1931, 6054, 949, 11863, 606, 18977, 1367, 547, 9594, 519, 695, 3612, 540, 513, 1587, 563, 2641, 3487, 4083, 3690, 9146, 7261, 3380, 543, 6355, 22948, 1323, 1367, 609, 1569, 547, 1312, 6666, 543, 519, 2489, 24432, 6666, 2272, 1223, 4894, 6666, 689, 519, 6109, 543, 4188, 519, 6666, 2272, 547, 3382, 519, 957, 269, 18763, 7638, 2305, 634, 6662, 540, 4830, 19027, 568, 547, 13182, 519, 6111, 543, 1264, 28467, 540, 4247, 602, 824, 3252, 538, 519, 1184, 1685, 269, 1677, 581, 2500, 267, 4830, 2357, 5874, 1590, 2049, 693, 1883, 2798, 538, 519, 1184, 1141, 6959, 666, 581, 9571, 3533, 543, 22621, 269, 18763, 19027, 8060, 538, 519, 8907, 4783, 2291, 693, 519, 1739, 2798, 281, 476, 272, 269, 634, 11288, 1599, 2357, 5809, 602, 519, 5370, 2366, 689, 519, 23999, 616, 2953, 538, 1826, 543, 7274, 269, 6969, 519, 5370, 616, 2366, 547, 519, 6075, 267, 519, 6006, 5305, 3561, 543, 519, 24386, 17277, 616, 11028, 4290, 539, 269, 476, 273, 269, 634, 536, 3739, 1599, 11028, 322, 3796, 519, 3312, 6455, 1931, 609, 519, 11288, 5469, 547, 2327, 602, 5561, 616, 536, 2683, 585, 1152, 519, 9424, 25855, 269, 476, 274, 269, 13405, 547, 20171, 547, 1852, 6589, 267, 519, 2489, 24432, 1599, 11028, 322, 3796, 4760, 642, 537, 7129, 543, 5758, 5359, 5423, 10446, 538, 1114, 1599, 2127, 269, 634, 536, 3739, 1599, 26564, 519, 6455, 4760, 267, 11891, 1852, 26564, 2242, 538, 519, 11891, 13564, 10706, 24432, 267, 519, 6666, 2256, 328, 14186, 1599, 26564, 519, 6666, 2256, 328, 14186, 4760, 267, 543, 6589, 2256, 22133, 26564, 519, 8121, 13564, 10706, 24432, 269, 2598, 920, 26989, 1063, 519, 2338, 13859, 676, 891, 1585, 2959, 786, 5365, 6959, 602, 991, 547, 581, 17251, 1354, 20171, 547, 519, 23834, 666, 1491, 1747, 269, 1280, 1383, 267, 519, 2489, 24432, 1599, 1131, 3713, 513, 6455, 11834, 602, 1185, 1044, 9411, 538, 519, 6455, 4760, 855, 711, 11540, 547, 519, 6075, 521, 2272, 538, 519, 8121, 13564, 10706, 24432, 269, 634, 4760, 642, 537, 7815, 689, 536, 3739, 267, 28388, 2698, 5491, 6455, 267, 1131, 711, 3160, 519, 2698, 4679, 11540, 547, 519, 8121, 13564, 10706, 24432, 269, 634, 1808, 6075, 2272, 4929, 519, 856, 6361, 28394, 766, 2783, 1131, 711, 581, 15002, 762, 693, 713, 1448, 267, 855, 519, 5470, 1131, 581, 7074, 269, 15531, 621, 949, 2154, 6313, 782, 519, 8852, 9268, 1282, 519, 1974, 269, 13689, 593, 519, 2029, 538, 1747, 267, 713, 1223, 581, 513, 32462, 4305, 269, 8447, 7010, 769, 713, 3296, 649, 4983, 519, 2168, 1062, 269, 901, 5956, 609, 513, 2689, 540, 8261, 5773, 543, 1287, 7575, 593, 547, 4308, 609, 1896, 3029, 540, 2780, 2861, 1949, 269, 634, 10014, 540, 8261, 1949, 538, 713, 2085, 540, 2780, 2029, 568, 11786, 269, 1284, 798, 865, 585, 1614, 4128, 269, 3689, 267, 8261, 1949, 4196, 607, 513, 3308, 2866, 5351, 547, 3895, 513, 1732, 1620, 540, 1883, 2035, 269, 15015, 630, 323, 17805, 264, 2095, 577, 11301, 6813, 1344, 607, 519, 2095, 540, 2168, 6054, 269, 4256, 2707, 267, 23332, 267, 10278, 267, 543, 5311, 540, 2621, 616, 11617, 20559, 762, 689, 519, 2095, 24577, 269, 769, 2780, 2861, 1949, 267, 8928, 540, 3059, 6054, 616, 711, 3362, 6719, 593, 2095, 577, 11301, 543, 949, 581, 2352, 585, 30497, 589, 3041, 1053, 547, 1246, 269, 5822, 267, 8261, 1062, 2095, 577, 11301, 12927, 519, 2956, 540, 17478, 540, 11645, 998, 5693, 3989, 8257, 531, 6302, 269, 769, 2780, 2861, 1949, 267, 891, 5302, 2958, 725, 616, 1419, 12913, 998, 2780, 5752, 2553, 543, 10957, 8060, 602, 3112, 581, 6719, 11617, 593, 513, 2095, 24577, 269, 11569, 267, 513, 2582, 4216, 630, 32491, 12835, 264, 593, 513, 1062, 2095, 24577, 949, 19597, 622, 4247, 540, 1082, 1114, 10721, 4559, 269, 7053, 267, 8261, 1949, 616, 513, 4909, 5057, 540, 519, 5943, 585, 13156, 2029, 10124, 269, 634, 28919, 543, 3111, 902, 540, 1699, 5108, 2029, 1831, 519, 1374, 16122, 585, 519, 1985, 269, 634, 1101, 5108, 540, 2780, 2029, 7153, 856, 540, 519, 8261, 1604, 269, 1323, 4661, 666, 581, 1500, 602, 1620, 1018, 1031, 547, 581, 1533, 6361, 7308, 19603, 10607, 835, 521, 1620, 540, 1018, 3366, 721, 547, 1141, 649, 616, 1631, 563, 2420, 476, 9264, 3848, 476, 275, 634, 28521, 18888, 1280, 891, 4128, 267, 930, 16929, 4782, 547, 4001, 8261, 1949, 1354, 3001, 593, 547, 2780, 3156, 269, 11524, 3870, 3001, 2047, 547, 2780, 2861, 1949, 269, 901, 3296, 814, 1044, 6896, 547, 13918, 1312, 3450, 6163, 269, 11374, 568, 513, 2689, 540, 8261, 1949, 269, 1411, 949, 267, 2705, 267, 1510, 2530, 540, 2930, 1543, 267, 21271, 713, 1570, 543, 979, 2047, 547, 2780, 2861, 1949, 4092, 593, 2985, 476, 6642, 269, 15015, 7010, 634, 3483, 540, 713, 3296, 568, 547, 1489, 519, 1062, 2035, 4843, 538, 519, 3105, 3296, 609, 3631, 18995, 1004, 267, 10721, 4559, 267, 543, 2168, 6054, 543, 6119, 269, 901, 3296, 1058, 948, 596, 19424, 519, 17478, 540, 11645, 543, 4830, 2357, 5874, 267, 799, 616, 1898, 547, 2500, 4835, 1852, 7488, 540, 519, 2029, 538, 1747, 269, 769, 1840, 267, 649, 5031, 13546, 1553, 13853, 17271, 547, 8261, 1949, 267, 799, 5795, 4473, 547, 2413, 1949, 1210, 4824, 4066, 269, 19833, 11352, 14409, 634, 3561, 2095, 24577, 538, 7612, 476, 275, 268, 1321, 2982, 519, 5773, 543, 519, 6054, 6093, 547, 513, 8261, 6455, 1931, 1062, 269, 769, 8261, 1949, 267, 4509, 2168, 6119, 540, 2707, 6054, 568, 2565, 547, 519, 20894, 13009, 269, 1306, 649, 3802, 998, 519, 2095, 24577, 267, 5469, 602, 538, 1142, 8257, 267, 1310, 12032, 540, 519, 8655, 4305, 267, 835, 610, 811, 6054, 616, 19429, 607, 2963, 602, 519, 4305, 729, 6192, 269, 19833, 4972, 634, 6455, 1184, 5956, 609, 513, 6075, 32296, 519, 6455, 8257, 676, 15146, 267, 13875, 267, 610, 538, 1268, 269, 634, 6455, 8257, 5638, 519, 1898, 3877, 593, 513, 6455, 1931, 269, 901, 1344, 786, 2663, 9594, 1082, 4247, 267, 855, 585, 519, 4090, 568, 19429, 533, 2056, 5491, 13170, 269, 4972, 10088, 1998, 1677, 1683, 7115, 547, 519, 5491, 28431, 1184, 267, 519, 5491, 8257, 568, 3919, 958, 543, 9308, 5302, 27935, 689, 519, 6455, 8257, 269, 1879, 5491, 568, 9516, 267, 519, 6455, 8257, 804, 17064, 27605, 519, 1585, 12215, 540, 519, 6455, 9753, 689, 519, 533, 2056, 3758, 543, 13847, 873, 547, 519, 536, 3739, 267, 23999, 267, 543, 11288, 13623, 269, 634, 6075, 1931, 543, 5491, 13170, 616, 1287, 5116, 538, 519, 1930, 1931, 3758, 269, 654, 732, 5264, 30332, 634, 1985, 1900, 568, 547, 6928, 519, 25584, 267, 799, 1058, 581, 2944, 607, 4166, 1310, 5491, 13170, 607, 2009, 269, 634, 23999, 804, 17064, 11392, 519, 6006, 5305, 5299, 540, 519, 6455, 1931, 543, 3096, 713, 547, 12398, 519, 11891, 269, 634, 11891, 543, 6006, 5305, 616, 1287, 2366, 547, 519, 11288, 8257, 269, 7053, 267, 519, 23999, 804, 17064, 5638, 519, 11891, 5786, 538, 519, 6006, 5638, 269, 634, 1744, 6235, 4972, 634, 11288, 804, 17064, 11028, 322, 3796, 519, 2472, 4607, 689, 519, 23999, 609, 519, 11288, 5469, 5299, 540, 519, 6455, 1931, 4607, 4505, 269, 1306, 5941, 5892, 267, 713, 21047, 568, 606, 1271, 1852, 1448, 267, 799, 5849, 602, 519, 6109, 15920, 519, 2953, 2472, 543, 9424, 547, 519, 6075, 269, 1879, 519, 1931, 568, 2953, 267, 513, 3915, 540, 561, 8172, 568, 5423, 267, 543, 519, 2472, 616, 26437, 543, 25855, 3842 ]

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

[ 277, 4153, 2431, 264, 31046, 7807, 282, 315, 8974, 3630, 576, 3189, 6523, 29146, 2765, 3189, 7032, 2410, 275, 3686, 18155, 2765, 3189, 6912, 346, 476, 273, 12453, 273, 3686, 1422, 8974, 3630, 576, 3189, 6523, 29146, 2765, 3189, 7032, 2410, 277, 3686, 18155, 2765, 3189, 6912, 346, 274, 12453, 273, 31998, 910, 1422, 8974, 3630, 576, 3189, 7562, 29146, 2765, 3189, 7032, 2410, 275, 3686, 18155, 2765, 3189, 6912, 346, 273, 12453, 273, 476, 14990, 8974, 3630, 576, 3189, 7562, 29146, 2765, 3189, 7032, 2410, 277, 3686, 18155, 2765, 346, 272, 2410, 273, 32556, 269, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1269, 284, 31046, 315, 2765, 3189, 6912, 346, 273, 4153, 6912, 346, 274, 348, 910, 1422, 6912, 346, 273, 12453, 275, 348, 31046, 7807, 282, 315, 2765, 3189, 6912, 346, 273, 4153, 3847, 7268, 6912, 346, 274, 18511, 272, 9368, 20972, 275, 8679, 259, 0, 12709, 3436, 9208, 18438, 3436, 9181, 634, 10417, 2986, 9208, 18438, 2986, 12726, 31283, 692, 258, 9181, 634, 10417, 2986, 9208, 18438, 2986, 12726, 31283, 692, 1012, 12937, 692, 2005, 1522, 634, 3892, 540, 891, 476, 736, 267, 1822, 3732, 1797, 5815, 875, 2484, 519, 543, 15510, 6341, 7204, 2691, 513, 2551, 568, 25541, 267, 519, 1611, 267, 610, 3328, 267, 568, 3622, 7229, 269, 1924, 713, 568, 3160, 547, 476, 273, 269, 3953, 476, 1839, 630, 275, 2567, 476, 1789, 1700, 3953, 269, 769, 713, 9183, 267, 519, 476, 1220, 271, 17037, 616, 5291, 2517, 573, 665, 718, 2593, 270, 20598, 268, 19587, 7933, 29924, 1532, 15277, 268, 20598, 268, 19587, 7146, 1606, 2217, 268, 20598, 11546, 341, 2747, 11258, 3213, 324, 2310, 21041, 3609, 780, 7212, 519, 9819, 585, 519, 1611, 568, 9425, 2241, 267, 952, 596, 547, 1205, 519, 3169, 1297, 17031, 610, 8726, 269, 1403, 596, 1810, 1405, 3314, 602, 596, 946, 519, 3044, 5470, 269, 898, 568, 3730, 547, 5635, 519, 3044, 5470, 540, 519, 1611, 585, 519, 5097, 540, 946, 950, 519, 10386, 3892, 568, 7363, 7856, 267, 610, 5111, 7363, 7856, 269, 634, 1611, 2085, 6785, 3892, 734, 972, 781, 930, 3020, 13065, 1934, 780, 1012, 9208, 18438, 2986, 12726, 6399, 18185, 692, 25835, 476, 271, 268, 276, 2641, 268, 279, 1015, 4200, 29930, 5288, 269, 4855, 513, 10502, 519, 1611, 540, 519, 3732, 9193, 519, 2551, 1611, 269, 589, 11050, 2268, 540, 10462, 568, 4080, 281, 513, 14345, 540, 547, 723, 519, 1482, 1611, 269, 634, 476, 4817, 260, 6015, 8884, 585, 519, 3328, 1198, 540, 519, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 4343, 267, 476, 2412, 267, 476, 2412, 267, 476, 4366, 267, 476, 7871, 267, 476, 7918, 267, 543, 476, 4649, 780, 763, 3044, 11539, 3112, 581, 17223, 9003, 689, 3732, 10305, 282, 519, 3044, 11539, 16302, 269, 10026, 7194, 1576, 267, 855, 596, 666, 1294, 519, 6169, 1934, 269, 634, 3044, 5470, 568, 519, 9208, 18438, 2986, 12726, 6399, 16754, 891, 616, 2551, 2418, 269, 1924, 952, 594, 1491, 476, 280, 269, 274, 5258, 676, 476, 276, 267, 1018, 834, 30144, 4658, 476, 1001, 271, 7355, 585, 1239, 21109, 257, 630, 14457, 6393, 32417, 6011, 1729, 2593, 15233, 585, 8096, 1220, 271, 538, 18623, 1222, 14559, 1306, 851, 540, 938, 993, 621, 568, 1360, 5363, 547, 803, 269, 540, 782, 2550, 945, 949, 581, 5701, 609, 519, 3075, 269, 634, 13260, 540, 513, 18802, 5291, 2517, 26625, 677, 269, 2381, 527, 629, 2593, 19841, 268, 639, 26553, 527, 629, 270, 1704, 14121, 8084, 2000, 3869, 11486, 553, 545, 3613, 520, 2524, 7146, 3766, 1429, 338, 270, 1506, 13607, 4185, 2389, 3949, 14121, 3949, 6361, 24578, 753, 270, 6343, 28104, 7308, 268, 20598, 268, 19587, 6361, 7308, 268, 11743, 270, 547, 798, 513, 6169, 1934, 269, 11022, 281, 772, 2529, 780, 4131, 781, 798, 9208, 18438, 2986, 12726, 6399, 17817, 1452, 12596, 616, 4570, 950, 519, 2551, 2450, 568, 1454, 476, 10037, 630, 272, 2567, 476, 4037, 1700, 10037, 269, 634, 13065, 540, 713, 5506, 3892, 3947, 596, 606, 2856, 3044, 5470, 540, 8096, 276, 267, 1822, 267, 1287, 519, 3448, 3044, 6959, 616, 476, 736, 260, 543, 476, 1015, 260, 6606, 269, 1568, 856, 585, 891, 1079, 1919, 780, 1012, 9208, 18438, 2986, 12726, 6399, 7151, 692, 9928, 523, 9222, 5291, 2517, 560, 3430, 516, 330, 2593, 270, 652, 11582, 270, 20598, 268, 19587, 269, 5684, 343, 286, 307, 583, 3645, 284, 4338, 476, 274, 630, 274, 2567, 476, 13647, 1700, 14138, 269, 15019, 15019, 9208, 18438, 2986, 12726, 6399, 18185, 1403, 596, 2811, 3297, 513, 1357, 6882, 267, 5225, 1118, 9208, 18438, 2986, 12726, 6399, 17392, 5915, 532, 269, 5502, 267, 596, 1491, 513, 6824, 540, 602, 476, 4968, 2929, 1677, 7435, 548, 4317, 17520, 4317, 17520, 6092, 30047, 16505, 13522, 9484, 9653, 6092, 26647, 31227, 2060, 19966, 1013, 22785, 2496, 2252, 835, 5619, 814, 513, 3044, 5470, 540, 8096, 1015, 267, 1822, 543, 519, 824, 814, 513, 2638, 1250, 5816, 14355, 631, 714, 1676, 281, 834, 2252, 596, 21102, 689, 835, 2278, 621, 781, 17096, 282, 952, 4557, 3340, 513, 4627, 2053, 607, 1082, 7422, 269, 28359, 538, 713, 1880, 3732, 568, 476, 4391, 269, 1839, 269, 7937, 543, 952, 594, 1616, 519, 3044, 11539, 267, 594, 1175, 1491, 9208, 18438, 2986, 12726, 6399, 9185, 1759, 593, 513, 11050, 2268, 540, 10462, 281, 519, 3044, 5470, 780, 15507, 713, 3135, 281, 23680, 585, 519, 476, 1626, 28359, 568, 476, 1015, 269, 2537, 269, 898, 568, 4686, 602, 519, 713, 1543, 634, 1611, 540, 891, 476, 736, 267, 1822, 5439, 689, 519, 2085, 693, 1101, 7365, 2551, 519, 3044, 5470, 540, 519, 1611, 1373, 3160, 547, 476, 272, 269, 9262, 780, 763, 1611, 2085, 585, 519, 476, 1626, 9208, 18438, 2986, 12726, 6399, 16338, 1445, 593, 519, 3044, 5470, 540, 519, 1611, 269, 2334, 781, 782, 3688, 538, 707, 1239, 1305, 269, 513, 1449, 267, 1175, 1747, 519, 1079, 2338, 883, 519, 4542, 780, 1012, 9768, 476, 271, 268, 278, 1626, 278, 268, 10219, 275, 268, 278, 2073, 533, 476, 7871, 9745, 645, 31938, 267, 631, 269, 630, 1001, 273, 1040, 834, 1432, 547, 946, 3364, 267, 1152, 519, 10035, 630, 328, 4318, 780, 534, 1278, 476, 1015, 267, 1822, 8062, 269, 634, 3113, 2982, 519, 6502, 585, 519, 476, 1626, 28359, 538, 519, 9208, 18438, 2986, 12726, 1160, 15251, 3257, 602, 269, 4530, 2659, 4197, 9046, 476, 272, 6904, 7365, 568, 827, 3368, 519, 3044, 11539, 540, 476, 280, 269, 2767, 1296, 585, 519, 28359, 780, 8170, 1576, 267, 570, 1315, 562, 11513, 6234, 570, 14672, 348, 568, 4441, 602, 741, 1239, 1590, 3914, 1354, 8313, 269, 1403, 835, 5619, 814, 513, 3044, 5470, 540, 8096, 1015, 267, 1822, 543, 519, 824, 814, 513, 5291, 2517, 573, 665, 718, 2593, 270, 20598, 268, 19587, 7933, 29924, 1532, 15277, 268, 20598, 268, 19587, 268, 20598, 11546, 341, 2747, 21873, 17942, 1998, 11258, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 4343, 267, 476, 2412, 267, 476, 2412, 267, 476, 4366, 267, 476, 7871, 267, 476, 7918, 267, 543, 476, 4649, 269, 1656, 1287, 950, 562, 568, 3160, 547, 476, 1839, 649, 3893, 585, 519, 476, 1626, 28359, 568, 476, 1015, 269, 2537, 780, 3383, 649, 1491, 938, 3044, 9576, 18926, 5980, 269, 2859, 4481, 267, 519, 2450, 540, 519, 3044, 5470, 540, 519, 1611, 568, 11201, 569, 14354, 547, 519, 4009, 3597, 540, 519, 3732, 2450, 269, 634, 3173, 1867, 602, 11134, 589, 568, 4397, 547, 4309, 476, 7367, 260, 2469, 547, 581, 476, 272, 269, 543, 4280, 952, 789, 786, 8917, 585, 11134, 589, 610, 11134, 645, 780, 763, 3113, 2630, 2982, 519, 3892, 540, 519, 3732, 1797, 8222, 281, 1015, 269, 15996, 278, 270, 23056, 4962, 277, 280, 269, 2913, 781, 1797, 568, 3160, 547, 519, 2551, 1611, 269, 14272, 518, 5377, 4112, 22789, 2593, 9745, 8230, 2284, 267, 808, 269, 2060, 562, 815, 476, 273, 519, 30391, 568, 827, 476, 1839, 9077, 1535, 328, 3738, 1315, 562, 1403, 602, 5654, 7294, 267, 621, 781, 12863, 982, 596, 1589, 780, 2690, 1142, 3732, 267, 519, 1611, 2085, 540, 519, 692, 30772, 267, 519, 3044, 5470, 540, 519, 1611, 666, 3277, 547, 606, 7447, 540, 0, 258, 7223, 692, 14006, 539, 676, 593, 16317, 24169, 519, 2016, 4834, 1384, 272, 269, 1923, 273, 343, 268, 276, 347, 284, 476, 3066, 454, 528, 568, 621, 2807, 19601, 343, 15871, 1321, 692, 273, 269, 476, 276, 3287, 266, 274, 9984, 273, 343, 815, 910, 2641, 692, 274, 269, 476, 274, 343, 266, 274, 263, 272, 14870, 6661, 1535, 268, 1704, 692, 275, 269, 476, 273, 314, 272, 268, 274, 3287, 266, 273, 13580, 815, 910, 343, 692, 15542, 528, 13159, 569, 912, 272, 269, 1535, 317, 273, 268, 1321, 343, 266, 736, 692, 273, 269, 1535, 317, 273, 14870, 268, 736, 692, 274, 269, 1535, 317, 273, 268, 5392, 692, 275, 269, 476, 275, 343, 317, 273, 268, 276, 343, 268, 277, 692, 272, 269, 1923, 273, 343, 268, 276, 347, 284, 476, 3066, 454, 528, 568, 621, 2807, 19601, 343, 15871, 1321, 692, 273, 343, 815, 476, 3066, 1341, 476, 276, 815, 476, 4097, 454, 343, 815, 476, 4097, 270, 273, 815, 476, 1704, 692, 763, 1866, 1413, 21453, 269, 0, 1012, 14349, 267, 476, 273, 5988, 476, 1001, 274, 692, 2162, 4208, 12540, 1400, 1942, 7455, 22613, 519, 19105, 11192, 8779, 7455, 543, 519, 19105, 24438, 8779, 7455, 693, 741, 5934, 1448, 780, 8269, 518, 547, 4137, 476, 272, 2016, 2630, 780, 14808, 476, 272, 692, 5472, 519, 1239, 568, 3144, 689, 519, 5750, 538, 519, 5816, 593, 834, 3963, 519, 7443, 568, 12366, 2213, 950, 519, 8589, 1942, 7455, 22613, 519, 8589, 8907, 7455, 5016, 293, 9711, 547, 2015, 692, 272, 269, 19105, 2698, 1942, 7455, 568, 513, 4729, 540, 519, 3328, 2698, 3790, 585, 782, 519, 1114, 9424, 4358, 689, 4642, 2504, 269, 634, 2473, 7852, 568, 519, 7274, 267, 543, 519, 962, 7852, 568, 519, 11083, 290, 269, 901, 7455, 1101, 19527, 18746, 267, 1287, 10301, 513, 5377, 543, 1287, 19527, 16057, 780, 273, 269, 19105, 4756, 1942, 7455, 814, 519, 1482, 4162, 540, 519, 11083, 290, 7455, 267, 855, 2141, 13978, 2630, 519, 11083, 290, 7455, 693, 782, 519, 2798, 269, 634, 3017, 1063, 519, 2418, 540, 519, 14258, 568, 519, 6378, 1942, 780, 274, 269, 4595, 782, 519, 1614, 14258, 814, 7274, 538, 519, 1535, 7852, 267, 782, 540, 873, 666, 581, 6537, 1927, 269, 634, 14330, 7455, 849, 1101, 19527, 18746, 267, 10301, 513, 5377, 543, 1287, 6238, 1793, 14563, 16057, 269, 634, 14330, 7455, 1101, 22613, 519, 20724, 290, 7455, 543, 1287, 519, 11083, 290, 7455, 693, 741, 9757, 4420, 1682, 269, 28582, 547, 513, 3044, 1257, 593, 519, 1966, 780, 12839, 7545, 5231, 2433, 29894, 5231, 11192, 1942, 454, 323, 12839, 7545, 2433, 29894, 476, 1109, 27087, 538, 2698, 1942, 454, 31357, 7545, 476, 1109, 281, 29894, 5231, 24438, 1942, 454, 2969, 290, 30336, 1109, 281, 29894, 476, 1109, 30182, 2698, 1942, 282, 8028, 568, 519, 3328, 1942, 454, 323, 2969, 290, 476, 1109, 281, 29894, 476, 1109, 27087, 538, 11083, 290, 454, 16787, 290, 5231, 2433, 29894, 476, 1109, 30182, 4756, 1942, 282, 966, 290, 568, 519, 4756, 1942, 454, 323, 16787, 290, 2433, 29894, 5231, 7827, 538, 20724, 290, 454, 15598, 7545, 476, 1109, 281, 29894, 5231, 674, 12089, 8779, 563, 304, 7545, 30336, 1109, 281, 29894, 476, 1109, 23797, 640, 563, 323, 304, 7545, 476, 1109, 281, 29894, 476, 1109, 27087, 538, 10829, 640, 563, 10157, 7545, 2433, 29894, 476, 1109, 300, 1173, 1400, 1942, 563, 10157, 30336, 1109, 284, 29894, 546, 12839, 7933, 304, 454, 12839, 7545, 815, 29894, 476, 1109, 31357, 1341, 674, 290, 454, 323, 12839, 5231, 815, 29894, 476, 1109, 323, 31357, 266, 323, 15598, 692, 3719, 2094, 674, 290, 568, 519, 6378, 1942, 543, 676, 4214, 1281, 711, 1689, 267, 546, 15598, 815, 476, 271, 692, 3383, 546, 12839, 284, 323, 31357, 692, 3383, 14330, 815, 546, 31357, 7933, 304, 692, 1607, 1797, 602, 8589, 1942, 267, 799, 568, 519, 1689, 538, 2698, 1942, 829, 1770, 540, 7274, 568, 4890, 344, 3361, 676, 519, 1689, 538, 4756, 1942, 1152, 269, 3767, 1934, 519, 2243, 568, 1946, 519, 8589, 1942, 7455, 22613, 519, 19105, 2698, 1942, 7455, 543, 519, 19105, 4756, 1942, 7455, 693, 741, 9757, 4420, 1682, 780, 13706 ]

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

[ 2652, 834, 274, 257, 6769, 1038, 1433, 12173, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 519, 1433, 281, 834, 3418, 1038, 2278, 815, 3403, 263, 834, 8923, 4283, 519, 2278, 540, 519, 1433, 281, 834, 476, 3418, 1038, 17404, 815, 3403, 263, 834, 8923, 4283, 519, 17404, 540, 519, 1433, 281, 834, 476, 3418, 1038, 9135, 815, 3403, 263, 834, 8923, 4283, 519, 9135, 540, 519, 1433, 281, 834, 476, 3418, 1038, 7160, 815, 703, 9272, 263, 834, 8923, 4283, 519, 7160, 540, 519, 1433, 281, 834, 3738, 3418, 1038, 1820, 263, 27719, 333, 257, 476, 10142, 1038, 1433, 815, 26643, 269, 9349, 263, 1433, 12173, 267, 2278, 267, 17404, 267, 9135, 267, 7160, 476, 3418, 1038, 5399, 14491, 9349, 263, 1504, 10142, 825, 8640, 5106, 2652, 834, 275, 257, 6769, 1038, 1433, 12173, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 519, 1433, 281, 834, 10142, 1038, 2119, 6769, 2018, 5399, 31927, 9349, 263, 1504, 12173, 3418, 2018, 1820, 2891, 20486, 616, 6707, 6569, 1701, 3418, 1038, 4849, 6769, 2018, 1820, 2891, 2304, 5470, 814, 1624, 3293, 1701, 10142, 825, 8640, 5106, 2652, 834, 276, 257, 6769, 1038, 1433, 12173, 815, 3403, 263, 834, 8923, 4283, 519, 2012, 540, 519, 1433, 281, 834, 476, 10142, 1038, 2119, 6769, 2018, 5399, 269, 26303, 292, 1288, 263, 1433, 12173, 476, 3418, 2018, 1820, 2891, 292, 1288, 814, 6707, 1044, 8242, 1701, 3418, 1038, 4849, 476, 272, 6769, 2018, 1820, 2891, 2304, 5470, 814, 1624, 3293, 1701, 10142, 0, 5814, 942, 454, 258, 4754, 946, 942, 547, 1711, 533, 13415, 692, 258, 335, 6372, 6345, 6114, 454, 24987, 318, 272, 815, 834, 272, 4840, 24987, 318, 273, 815, 834, 273, 4840, 24987, 318, 274, 815, 834, 274, 4840, 13433, 815, 22373, 312, 2580, 834, 344, 2580, 834, 13433, 31116, 7224, 815, 22373, 301, 2580, 834, 333, 2580, 834, 7224, 257, 6540, 258, 15953, 338, 547, 4584, 909, 2059, 519, 1259, 454, 823, 7272, 1157, 815, 476, 271, 454, 339, 1157, 564, 815, 476, 271, 692, 258, 332, 1389, 2386, 5551, 1267, 568, 4607, 454, 7528, 1600, 815, 9497, 315, 333, 18744, 946, 476, 272, 267, 476, 273, 267, 610, 476, 274, 547, 2626, 1034, 2055, 1422, 333, 15419, 258, 5035, 585, 2012, 454, 5035, 26761, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 692, 2745, 2891, 15916, 256, 1548, 568, 707, 2012, 286, 5602, 16651, 815, 26761, 9272, 2891, 22056, 513, 1007, 2012, 585, 707, 1915, 27363, 2745, 263, 16651, 20508, 2020, 258, 11034, 609, 4367, 3296, 540, 3014, 454, 3698, 25644, 10031, 825, 1948, 15884, 1305, 519, 6429, 454, 825, 1820, 630, 18851, 8702, 4787, 328, 13738, 8496, 1145, 256, 1411, 2811, 593, 31530, 7999, 5124, 13738, 2336, 825, 2991, 513, 28594, 541, 2917, 6640, 593, 519, 19527, 267, 596, 1265, 3054, 827, 3368, 1259, 909, 454, 825, 519, 7823, 269, 1411, 4312, 2141, 4941, 547, 1491, 519, 1164, 18286, 12740, 547, 519, 1283, 454, 825, 540, 519, 7823, 269, 476, 2353, 596, 991, 568, 707, 12740, 19044, 256, 17677, 2638, 602, 596, 454, 825, 723, 621, 267, 543, 1287, 649, 3513, 581, 4712, 547, 979, 256, 3269, 5602, 825, 1948, 23437, 599, 547, 2285, 942, 547, 1224, 454, 825, 942, 4732, 2748, 263, 278, 994, 825, 1820, 2891, 1862, 3832, 9535, 585, 19044, 907, 23528, 825, 942, 4732, 2748, 263, 274, 2020, 258, 13765, 585, 12740, 19044, 454, 3698, 2638, 10031, 825, 952, 19044, 2652, 476, 271, 912, 1038, 1820, 2891, 3269, 15121, 12971, 30314, 898, 4667, 602, 707, 12740, 19044, 3884, 1405, 593, 707, 454, 1038, 29075, 269, 476, 9453, 707, 19044, 267, 596, 4465, 1405, 581, 2111, 547, 11878, 1022, 20744, 454, 1038, 3076, 1206, 593, 519, 7823, 269, 476, 1548, 616, 596, 2469, 547, 798, 1985, 11631, 286, 3269, 5602, 1038, 942, 4732, 2748, 263, 278, 994, 1038, 1948, 9953, 687, 585, 1018, 547, 798, 827, 7508, 12740, 19044, 454, 1038, 1820, 2891, 3269, 454, 1038, 476, 272, 269, 8347, 547, 13472, 2250, 519, 12740, 7390, 656, 454, 1038, 476, 273, 269, 23063, 1524, 538, 519, 6777, 543, 3956, 454, 1038, 476, 274, 269, 4787, 328, 2066, 547, 29154, 571, 781, 623, 2720, 3726, 267, 519, 13009, 602, 596, 1175, 3357, 689, 3269, 5602, 1038, 1948, 14140, 3903, 454, 1038, 3903, 815, 3403, 2891, 24257, 19515, 1038, 952, 3903, 538, 2626, 318, 272, 912, 2018, 1948, 2998, 525, 547, 14229, 752, 1599, 454, 2018, 4781, 5334, 928, 752, 4590, 1038, 1948, 16149, 3903, 454, 1038, 8640, 3903, 538, 2626, 318, 273, 912, 2018, 1948, 323, 625, 454, 2018, 1820, 630, 18851, 315, 333, 310, 20234, 530, 20234, 530, 20234, 269, 634, 4411, 568, 711, 585, 519, 4617, 13463, 14975, 454, 2018, 1422, 333, 14826, 2791, 5747, 256, 3269, 5602, 1038, 1948, 628, 2273, 3903, 454, 1038, 8640, 3903, 538, 2626, 318, 274, 912, 2018, 1948, 2998, 525, 547, 3406, 1599, 454, 2018, 4781, 318, 14142, 272, 4590, 1038, 3116, 912, 2018, 1948, 8145, 785, 6345, 540, 2009, 11378, 543, 2132, 547, 4098, 454, 2018, 1820, 630, 7528, 1600, 994, 2018, 2638, 4590, 825, 3116, 912, 1038, 1948, 604, 519, 6345, 2907, 814, 513, 19044, 538, 519, 11891, 454, 1038, 1820, 2891, 20238, 256, 1411, 2811, 593, 707, 1259, 547, 519, 1283, 540, 519, 7823, 5602, 1038, 4781, 4671, 641, 10797, 258, 1729, 3406, 593, 3105, 13009, 454, 3698, 4781, 318, 14142, 272, 10031, 825, 942, 4732, 2748, 263, 276, 994, 825, 1820, 630, 18851, 315, 333, 2791, 20744, 5594, 15081, 650, 936, 547, 29154, 571, 781, 623, 2720, 3726, 269, 476, 1411, 20744, 1524, 454, 825, 519, 13009, 267, 855, 596, 666, 1405, 3100, 547, 1265, 707, 19044, 269, 476, 14348, 596, 454, 825, 899, 547, 907, 27969, 994, 825, 942, 4732, 2748, 263, 275, 994, 825, 1820, 630, 12163, 825, 476, 272, 269, 12315, 909, 543, 18992, 547, 14229, 1136, 2250, 519, 12740, 7390, 656, 454, 825, 476, 273, 269, 1684, 1776, 30908, 936, 29154, 571, 781, 623, 2720, 3726, 454, 825, 476, 274, 269, 9612, 519, 645, 22324, 10830, 267, 1141, 596, 3636, 539, 909, 713, 6640, 3269, 5602, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 14140, 3903, 454, 825, 952, 3903, 538, 2626, 318, 272, 912, 1038, 1948, 2998, 525, 547, 14229, 752, 4781, 454, 1038, 4781, 5334, 928, 752, 4590, 825, 1948, 16149, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 273, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 630, 18851, 315, 333, 2791, 4956, 547, 20744, 936, 29154, 571, 781, 20417, 1586, 267, 855, 454, 1038, 1247, 10478, 596, 3893, 513, 3787, 1932, 2673, 547, 519, 6316, 543, 8593, 454, 1038, 476, 4968, 3952, 256, 476, 1422, 333, 14826, 2791, 5747, 256, 3269, 5602, 825, 1948, 628, 2273, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 274, 912, 1038, 1948, 15884, 3406, 536, 22324, 14629, 454, 1038, 4781, 318, 14142, 273, 4590, 825, 3116, 912, 1038, 1948, 335, 668, 696, 547, 4584, 2953, 3210, 543, 1964, 691, 519, 1599, 454, 1038, 1820, 630, 7528, 1600, 994, 1038, 4781, 318, 14142, 272, 10797, 258, 1729, 14229, 752, 2250, 12740, 7390, 656, 454, 3698, 4781, 5334, 928, 752, 10031, 825, 1820, 2891, 3269, 2791, 1205, 883, 519, 22125, 1899, 540, 11235, 1236, 4512, 619, 7996, 547, 4604, 519, 454, 825, 1164, 3432, 12740, 547, 519, 1283, 269, 634, 2451, 7390, 656, 568, 10992, 519, 17914, 540, 454, 825, 1142, 20744, 1512, 269, 476, 1411, 2119, 547, 1832, 707, 2212, 1524, 543, 13472, 676, 267, 855, 519, 7390, 656, 454, 825, 711, 1182, 602, 596, 1810, 1405, 723, 707, 19044, 804, 5792, 547, 707, 29075, 563, 825, 1548, 798, 596, 798, 1985, 286, 3269, 5602, 825, 1948, 5503, 547, 1224, 454, 825, 942, 4732, 2748, 263, 279, 994, 825, 1948, 9953, 687, 454, 825, 1820, 2891, 3269, 454, 825, 476, 272, 269, 744, 21161, 519, 3652, 543, 31635, 1900, 856, 540, 1899, 454, 825, 476, 273, 269, 774, 992, 909, 513, 4708, 1129, 543, 5577, 593, 519, 12740, 19037, 454, 825, 476, 274, 269, 5192, 911, 332, 9482, 676, 519, 12740, 7390, 656, 3269, 5602, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 14140, 3903, 454, 825, 952, 3903, 538, 2626, 318, 272, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 2891, 16729, 519, 3652, 786, 1205, 596, 1100, 1141, 26142, 333, 14826, 2791, 5747, 32405, 825, 1948, 16149, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 273, 912, 1038, 1948, 516, 1189, 676, 2469, 547, 519, 1283, 540, 519, 7823, 454, 1038, 1820, 2891, 3269, 305, 529, 5652, 1847, 267, 855, 594, 899, 707, 2511, 256, 5556, 337, 1846, 267, 596, 2811, 593, 707, 454, 1038, 1259, 547, 519, 1283, 27969, 994, 1038, 1948, 10818, 547, 1491, 6345, 547, 519, 1283, 454, 1038, 4781, 4671, 641, 4590, 825, 1948, 628, 5090, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 274, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 2891, 3269, 7312, 23535, 7190, 786, 1205, 596, 7166, 269, 476, 1411, 4312, 1044, 911, 332, 9482, 676, 454, 1038, 519, 8616, 328, 269, 1422, 333, 14826, 1411, 5747, 256, 3269, 5602, 825, 3116, 912, 1038, 1948, 335, 668, 696, 547, 4584, 513, 4570, 3210, 454, 1038, 1820, 263, 7528, 1600, 994, 1038, 1948, 6135, 691, 1599, 454, 1038, 4781, 5334, 928, 752, 10797, 258, 14142, 519, 536, 22324, 14629, 454, 3698, 4781, 318, 14142, 273, 10031, 825, 1820, 630, 18851, 315, 333, 2791, 20744, 1524, 547, 519, 536, 22324, 14629, 267, 855, 596, 1274, 513, 10978, 1989, 18443, 454, 825, 4947, 689, 3297, 596, 269, 476, 898, 781, 513, 8616, 328, 30314, 8627, 476, 24664, 1176, 267, 596, 5469, 606, 4672, 454, 825, 4584, 593, 519, 2666, 269, 1684, 596, 4584, 621, 909, 269, 962, 21610, 286, 3269, 5602, 825, 1948, 335, 668, 696, 547, 4431, 547, 2436, 610, 711, 6345, 6499, 547, 4584, 909, 4672, 4584, 454, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 1492, 6345, 814, 519, 4672, 4584, 454, 825, 952, 3903, 538, 9811, 912, 1038, 4672, 7272, 1157, 815, 476, 272, 454, 825, 1948, 1492, 6345, 3085, 1405, 723, 519, 4672, 4584, 454, 825, 3116, 912, 1038, 4672, 7272, 1157, 815, 476, 271, 454, 825, 1948, 2532, 827, 875, 547, 4194, 8616, 328, 1966, 454, 825, 1820, 9497, 315, 333, 1432, 798, 596, 798, 1985, 286, 5602, 825, 1948, 5503, 547, 1224, 454, 825, 942, 4732, 2748, 263, 275, 994, 825, 1948, 9953, 687, 585, 1018, 547, 798, 454, 825, 1820, 630, 12163, 825, 476, 272, 269, 31674, 3297, 513, 6777, 23810, 899, 519, 10800, 731, 596, 616, 454, 825, 476, 273, 269, 674, 697, 519, 8616, 328, 454, 825, 476, 274, 269, 14840, 3269, 5602, 825, 3903, 815, 3403, 2891, 24257, 19515, 825, 1948, 14140, 3903, 454, 825, 952, 3903, 538, 2626, 318, 272, 912, 1038, 1948, 323, 625, 454, 1038, 1820, 630, 18851, 315, 333, 3725, 958, 286, 1411, 2811, 2469, 547, 12404, 3297, 513, 1687, 2917, 18061, 540, 6777, 888, 1038, 9894, 596, 917, 602, 8616, 529, 723, 513, 16994, 2631, 540, 9329, 286, 476, 654, 5085, 303, 2483, 1038, 1358, 798, 267, 865, 1862, 3891, 729, 2111, 547, 3950, 596, 1524, 538, 513, 2339, 540, 7643, 563, 1038, 1422, 333, 14826, 2791, 5747, 256, 3269, 5602, 825, 1948, 16149, 3903, 454, 825, 8640, 3903, 538, 2626, 318, 273, 912, 1038, 952, 4672, 7272, 1157, 3436, 476, 271, 912, 1038, 1948, 16651, 814, 519, 4672, 4584, 543, 568, 827, 547, 4339, 519, 8616, 328, 454, 2018, 1820, 630, 18851, 315, 333, 2791, 3576, 12062, 3297, 519, 7404, 6777, 23810, 269, 634, 454, 2018, 695, 20810, 532, 4672, 4584, 13631, 519, 8616, 328, 267, 945, 729, 1978, 602, 596, 454, 2018, 1131, 581, 1010, 12129, 269, 1261, 1212, 696, 6251, 543, 6251, 267, 543, 707, 27374, 454, 2018, 2968, 17570, 344, 538, 707, 17309, 269, 634, 8616, 328, 6836, 547, 3914, 856, 547, 10544, 454, 2018, 707, 4672, 4584, 267, 855, 596, 941, 1932, 2656, 585, 1864, 256, 1411, 588, 629, 5523, 1010, 24566, 454, 2018, 9221, 607, 646, 16686, 883, 519, 6777, 27969, 994, 2018, 1948, 5503, 547, 1224, 454, 2018, 942, 4732, 2748, 263, 1556, 994, 2018, 1820, 2891, 3269, 2791, 15068, 519, 8616, 328, 8627, 26008, 3269, 5602, 2018, 1820, 2891, 3269, 25898, 596, 899, 547, 2483, 2018, 1948, 9953, 687, 585, 1018, 547, 798, 1310, 7639, 519, 8616 ]

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

[ 593, 1200, 3802, 286, 2759, 856, 3197, 547, 1747, 538, 1114, 7158, 593, 519, 4786, 610, 547, 3802, 689, 835, 19506, 547, 1776, 269, 1215, 1082, 3268, 1522, 621, 1491, 286, 1548, 1131, 519, 4365, 581, 899, 888, 9349, 476, 275, 910, 1924, 13518, 454, 9349, 476, 275, 910, 11242, 454, 307, 1779, 621, 856, 910, 1607, 1650, 568, 782, 827, 1920, 543, 16873, 267, 2911, 827, 707, 1378, 1920, 267, 2995, 707, 1920, 2984, 267, 950, 1705, 596, 2063, 723, 513, 11812, 286, 1548, 729, 519, 11812, 585, 286, 1879, 568, 707, 1985, 1920, 11812, 888, 8002, 621, 856, 268, 5620, 513, 27642, 14512, 5428, 609, 9162, 267, 2206, 21543, 30053, 5903, 540, 12502, 2044, 681, 1506, 6996, 267, 22843, 1227, 454, 13014, 513, 1166, 777, 1433, 910, 5269, 513, 1166, 777, 1433, 267, 2721, 5961, 540, 2828, 543, 1920, 538, 707, 1166, 777, 1433, 267, 2911, 827, 1142, 835, 1018, 2306, 873, 2027, 888, 9349, 476, 276, 910, 634, 2051, 712, 30947, 454, 9349, 476, 276, 910, 9452, 11473, 454, 9349, 476, 276, 910, 11242, 454, 307, 1779, 621, 856, 910, 2911, 827, 938, 4664, 267, 875, 649, 949, 1745, 4544, 630, 338, 611, 264, 610, 5835, 630, 327, 7026, 1040, 1215, 616, 649, 4743, 1318, 1631, 563, 8002, 621, 856, 910, 1118, 18461, 902, 20599, 6529, 12470, 1115, 910, 2759, 856, 5961, 540, 519, 7990, 28749, 267, 15441, 610, 20013, 891, 547, 561, 14709, 1402, 16853, 269, 2422, 891, 547, 957, 856, 519, 1650, 610, 547, 1865, 4606, 563, 13729, 909, 8900, 30660, 585, 1142, 7990, 267, 609, 513, 7222, 7990, 18351, 910, 513, 18899, 267, 890, 321, 1076, 267, 596, 1223, 1256, 20004, 930, 18437, 609, 5862, 630, 5408, 2630, 585, 5528, 1040, 5192, 707, 1126, 547, 1039, 513, 18351, 8164, 789, 1616, 547, 2769, 606, 7553, 2807, 6518, 835, 25361, 909, 16595, 888, 1805, 800, 2452, 910, 31674, 707, 7990, 20599, 2759, 16080, 1472, 519, 2777, 543, 723, 513, 6968, 269, 13185, 827, 1142, 4743, 607, 596, 1265, 873, 269, 0, 309, 807, 30647, 1400, 324, 19067, 320, 595, 842, 807, 476, 2641, 454, 763, 1292, 1382, 2127, 538, 25115, 9609, 6161, 519, 12627, 7998, 267, 7293, 6988, 543, 1062, 18267, 540, 1585, 2516, 540, 24485, 919, 543, 1875, 1606, 32281, 919, 267, 3490, 4496, 268, 543, 681, 7417, 24481, 6886, 267, 1979, 7631, 5644, 267, 21889, 267, 3092, 269, 5525, 593, 5872, 543, 1764, 540, 4359, 19915, 7645, 2326, 630, 6588, 325, 2940, 267, 7720, 306, 273, 267, 654, 306, 273, 264, 609, 6211, 3283, 616, 5645, 856, 269, 634, 10763, 2553, 1031, 676, 519, 3173, 267, 1312, 538, 4144, 4306, 2752, 20682, 543, 538, 824, 3621, 6997, 338, 267, 616, 9804, 22794, 267, 2473, 11920, 8869, 32250, 630, 311, 305, 11520, 1070, 2582, 2275, 15009, 531, 2473, 11920, 32250, 630, 17092, 29930, 31686, 1070, 17655, 630, 306, 4932, 264, 543, 959, 553, 3939, 630, 307, 4932, 6953, 20670, 4932, 264, 6475, 22794, 609, 2890, 534, 4519, 630, 3633, 306, 267, 654, 9169, 267, 589, 4932, 1070, 18342, 21655, 630, 293, 2316, 305, 1070, 2473, 11920, 28264, 630, 311, 27184, 1070, 594, 9573, 268, 5308, 26563, 4479, 267, 22244, 7034, 26563, 4479, 630, 5632, 12299, 1863, 1505, 1070, 8143, 9382, 630, 307, 294, 5937, 14011, 1070, 3092, 269, 30200, 689, 3864, 543, 3063, 26049, 2127, 616, 6594, 267, 607, 590, 2174, 320, 13305, 525, 12320, 3780, 18962, 267, 1912, 5586, 571, 6756, 29425, 267, 590, 731, 27091, 267, 32595, 267, 5177, 267, 8581, 267, 19360, 267, 19934, 267, 12996, 267, 5333, 267, 5245, 267, 18475, 267, 3162, 4000, 267, 7330, 267, 3092, 269, 0, 8722, 564, 1831, 4130, 950, 596, 6336, 2597, 269, 901, 568, 1813, 547, 519, 1249, 602, 950, 596, 723, 1447, 3170, 972, 568, 811, 4055, 585, 519, 7633, 547, 1491, 909, 2230, 269, 634, 1739, 616, 930, 4277, 5013, 827, 707, 3952, 602, 596, 949, 711, 917, 563, 7312, 32243, 3657, 12830, 454, 7312, 3952, 616, 5393, 1271, 269, 3502, 1152, 798, 789, 948, 2226, 707, 3666, 1247, 7555, 543, 6972, 267, 855, 789, 849, 1404, 513, 2629, 1909, 538, 519, 1697, 8647, 540, 707, 1560, 269, 634, 1977, 12128, 5948, 4967, 519, 1739, 2640, 950, 621, 2501, 547, 707, 3952, 912, 268, 634, 1072, 540, 707, 3952, 5540, 519, 1072, 540, 707, 1560, 563, 268, 20056, 532, 538, 4247, 602, 2154, 4222, 543, 3666, 267, 971, 607, 6972, 267, 4881, 267, 543, 16246, 24383, 267, 949, 2149, 596, 1996, 1978, 2010, 540, 11871, 563, 268, 769, 2489, 267, 1697, 6484, 540, 707, 3952, 949, 2569, 707, 1981, 540, 2295, 2068, 543, 8482, 563, 268, 6153, 1072, 540, 707, 3952, 949, 2087, 519, 5920, 543, 1745, 540, 707, 3003, 1560, 563, 268, 853, 12177, 707, 10051, 609, 2635, 1426, 8925, 267, 971, 607, 4195, 5613, 543, 5388, 267, 949, 948, 707, 3952, 3914, 741, 5021, 1761, 563, 4322, 2640, 1118, 621, 1360, 2312, 602, 596, 991, 547, 1491, 1434, 1416, 540, 707, 3952, 269, 1411, 1058, 711, 581, 8380, 3054, 538, 2800, 779, 1259, 676, 7446, 547, 18178, 6980, 610, 979, 593, 4189, 536, 532, 525, 269, 6875, 513, 1906, 3764, 1169, 1554, 547, 1118, 2386, 707, 3952, 616, 2635, 543, 596, 666, 2972, 782, 519, 2640, 602, 519, 1416, 543, 3007, 547, 1469, 666, 2285, 596, 563, 7312, 1677, 525, 3657, 1744, 7163, 20537, 1411, 6056, 454, 307, 4176, 19462, 616, 513, 1455, 3364, 269, 1358, 616, 1419, 2808, 513, 1129, 540, 1072, 543, 5898, 269, 1717, 267, 1705, 596, 917, 602, 707, 19462, 2965, 723, 513, 3483, 286, 1358, 2461, 972, 547, 960, 609, 707, 3946, 547, 948, 2226, 1697, 1560, 1599, 269, 2913, 779, 1491, 513, 1413, 693, 1946, 707, 19462, 616, 2110, 543, 875, 596, 666, 1118, 873, 1332, 912, 268, 1879, 596, 1847, 707, 3946, 267, 707, 19462, 1847, 2059, 609, 873, 547, 1832, 538, 1900, 269, 901, 568, 1946, 950, 596, 616, 7555, 543, 3001, 267, 707, 19462, 786, 2141, 581, 538, 519, 2011, 269, 1306, 513, 1267, 267, 789, 786, 2110, 523, 543, 1831, 6793, 563, 268, 667, 3496, 610, 3257, 1022, 1826, 540, 3635, 602, 3340, 3350, 267, 899, 10977, 267, 3123, 707, 19462, 547, 1332, 269, 898, 568, 849, 835, 540, 519, 4128, 1946, 3214, 6336, 741, 23179, 4552, 607, 789, 1205, 4587, 269, 4256, 3586, 3350, 3123, 741, 18969, 547, 1332, 883, 741, 27374, 2336, 268, 29303, 593, 513, 6366, 2627, 609, 31623, 2306, 707, 3952, 3476, 1317, 519, 2597, 568, 1373, 7856, 811, 14961, 2066, 707, 3952, 269, 901, 7512, 707, 19462, 547, 1332, 3476, 563, 268, 8347, 9849, 10887, 609, 3076, 1206, 547, 1118, 707, 19462, 2408, 3476, 563, 268, 3680, 10887, 602, 723, 1164, 31623, 607, 789, 786, 2014, 596, 547, 3802, 538, 606, 27105, 6073, 267, 799, 849, 7512, 707, 19462, 547, 1332, 563, 268, 1677, 2061, 707, 3952, 689, 4742, 1932, 2110, 267, 1118, 2386, 596, 616, 8380, 873, 593, 5265, 269, 6744, 519, 4463, 540, 707, 10887, 547, 1118, 2386, 621, 568, 6899, 585, 707, 3952, 269, 4746, 267, 952, 596, 616, 9849, 26852, 609, 707, 10887, 267, 1118, 2386, 789, 616, 711, 4929, 707, 19462, 547, 3262, 269, 590, 4169, 609, 31623, 786, 849, 5000, 707, 19462, 547, 1332, 563, 7312, 1677, 324, 22458, 13201, 589, 17217, 454, 12441, 596, 917, 602, 707, 23179, 24827, 723, 513, 2601, 286, 1358, 616, 972, 547, 2149, 707, 18969, 689, 3478, 3676, 543, 5563, 269, 1403, 596, 798, 711, 5781, 19081, 707, 19462, 267, 519, 4552, 593, 873, 786, 1831, 2150, 3139, 543, 6067, 6470, 267, 4929, 596, 547, 6336, 519, 561, 13831, 540, 707, 18969, 269, 634, 1739, 616, 930, 3676, 602, 616, 4122, 1336, 538, 2150, 3234, 4364, 23179, 4552, 912, 268, 23580, 19095, 281, 901, 568, 606, 3968, 3361, 676, 513, 21313, 602, 2729, 538, 519, 13897, 269, 898, 568, 1034, 4122, 1336, 538, 1453, 779, 1404, 7741, 267, 855, 666, 849, 581, 1336, 538, 10130, 269, 634, 21313, 3468, 338, 922, 3984, 950, 621, 17486, 873, 267, 2356, 1247, 31153, 269, 634, 31153, 3123, 519, 4552, 547, 1831, 6534, 267, 1818, 621, 4443, 585, 519, 21313, 547, 561, 2255, 5196, 922, 3984, 269, 634, 1034, 1455, 10835, 540, 8258, 19095, 568, 513, 2699, 16420, 1472, 519, 1858, 1141, 519, 4552, 10742, 519, 14950, 540, 519, 9416, 269, 634, 16420, 949, 621, 577, 543, 581, 10483, 676, 8611, 543, 24852, 269, 769, 4049, 2665, 267, 621, 666, 1291, 547, 519, 17970, 4742, 1033, 3737, 610, 1256, 9991, 1055, 563, 268, 3474, 3415, 577, 807, 281, 901, 568, 606, 3968, 3361, 676, 513, 4551, 1572, 28342, 14137, 553, 269, 898, 568, 1034, 4122, 1336, 538, 10887, 543, 26852, 543, 568, 6353, 676, 6553, 267, 11926, 267, 543, 25017, 540, 519, 5160, 1472, 519, 17970, 269, 634, 1034, 1455, 10835, 540, 1612, 3415, 577, 807, 568, 1928, 543, 25017, 1472, 519, 18969, 563, 268, 8278, 22915, 281, 901, 568, 606, 6553, 540, 519, 2960, 602, 3123, 32105, 543, 25017, 269, 898, 568, 1034, 4122, 1336, 538, 519, 1858, 1063, 519, 18969, 543, 519, 2960, 269, 634, 2783, 666, 581, 22420, 610, 3361, 676, 11959, 610, 2566, 269, 634, 2126, 585, 26253, 568, 2356, 22521, 543, 949, 1331, 1212, 4461, 267, 522, 842, 906, 267, 543, 3819, 2960, 530, 6346, 269, 634, 3119, 2014, 540, 26253, 568, 7164, 267, 855, 621, 568, 2219, 547, 581, 1813, 547, 606, 19261, 540, 519, 2960, 779, 4761, 1062, 563, 268, 4563, 14272, 281, 901, 568, 513, 16507, 3968, 602, 666, 3468, 707, 3952, 267, 4929, 873, 547, 2408, 3109, 269, 634, 3968, 568, 1034, 4122, 1336, 538, 9341, 16374, 543, 1851, 1004, 609, 4057, 9882, 269, 634, 1034, 1455, 10835, 540, 4563, 14272, 568, 11926, 593, 519, 2427, 540, 519, 3723, 6849, 519, 12597, 269, 1403, 2451, 15860, 267, 621, 666, 1291, 547, 1591, 592, 4345, 543, 1256, 23170, 8598, 269, 634, 2126, 585, 713, 2783, 568, 2356, 30624, 25193, 6646, 543, 513, 1689, 538, 707, 21489, 2511, 630, 327, 10884, 25192, 3079, 540, 3138, 2378, 619, 610, 1930, 3562, 539, 10887, 1916, 7312, 715, 5661, 3657, 23977, 1676, 762, 454, 12441, 596, 917, 602, 707, 18969, 616, 7925, 286, 1358, 616, 3362, 10413, 543, 666, 1831, 7783, 952, 711, 3144, 1416, 540, 5265, 269, 634, 1739, 616, 930, 4388, 593, 875, 547, 2149, 707, 18969, 1247, 1869, 11981, 519, 2640, 602, 2097, 609, 2921, 1416, 540, 873, 912, 268, 25169, 707, 18969, 1169, 1554, 609, 12853, 543, 1216, 547, 1832, 873, 2973, 543, 1863, 540, 13897, 543, 3282, 602, 949, 2014, 873, 547, 1831, 4617, 563, 268, 1684, 711, 3548, 3536, 609, 13365, 610, 6070, 602, 616, 4122, 1336, 538, 3728, 1426, 14060, 269, 1452, 3536, 4043, 547, 2014, 707, 18969, 547, 1831, 4617, 563, 268, 5269, 2386, 547, 1832, 707, 18969, 19872, 676, 6704, 7899, 540, 1216, 3232, 269, 774, 8089, 909, 610, 2348, 13165, 666, 849, 2014, 707, 18969, 547, 1831, 4617, 1813, 547, 519, 1249, 602, 1216, 568, 6569, 689, 707, 1560, 779, 1062, 950, 596, 616, 7210, 563, 268, 1306, 5892, 5018, 267, 707, 18969, 786, 1332, 3476, 952, 596, 5781, 3802, 610, 7544, 269, 8347, 532, 513, 1007, 7328, 610, 2921, 909, 513, 1007, 15908, 949, 849, 5000, 707, 18969, 547, 1332, 269, 1717, 267, 581, 6297, 711, 547, 7903, 707, 1560, 1932, 2182, 607, 713, 666, 2014, 3441, 563, 268, 1411, 1058, 711, 5957, 17970, 32432, 607, 621, 786, 6094, 707, 18969, 543, 1118, 873, 811, 7925, 547, 3441, 563, 268, 3680, 4189, 26265, 607, 789, 949, 2014, 5694, 9178, 543, 3968, 269, 4746, 267, 2760, 25261, 593, 18969, 607, 621, 1223, 3441, 707, 4522, 563, 268, 1677, 2057, 1022, 7063, 267, 1118, 2386, 596, 616, 9849, 1697, 10887, 543, 26852, 1247, 28185, 3101, 610, 4881, 269, 5620, 513, 3318, 8524, 707, 14229, 5474, 547, 1118, 2386, 789, 616, 540, 1434, 2298, 543, 723, 519, 1697, 17501, 269, 4746, 267, 519, 1570, 540, 519, 21489, 1058, 581, 2571, 2614, 711, 547, 2014, 3441, 547, 707, 3952, 855, 2182, 2614, 547, 1683, 5140, 20086, 593, 519, 4155, 610, 3950, 563, 268, 634, 3259, 540, 707, 18969, 666, 849, 581, 4299, 676, 707, 18969, 685, 5086, 538, 6935, 547, 519, 2627, 789, 616, 17479, 593, 269, 1403, 596, 2759, 873, 6252, 547, 519, 2627, 267, 789, 786, 1332, 2269, 7660, 543, 3476, 563, 2005, 568, 1271, 547, 4063, 602, 596, 616, 9003 ]

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

[ 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1215, 798, 596, 2973, 513, 5969, 4604, 888, 288, 269, 14109, 30257, 20841, 6926, 778, 543, 1287, 1039, 16693, 1354, 32092, 532, 2973, 563, 289, 269, 14109, 30257, 11256, 14614, 267, 1287, 1039, 16693, 547, 1711, 513, 11164, 17331, 3070, 543, 1287, 27125, 563, 12585, 281, 645, 0, 9223, 281, 3509, 3744, 17695, 1125, 602, 2518, 8337, 786, 15835, 519, 8701, 4672, 11503, 269, 1548, 1131, 1034, 2693, 4755, 952, 519, 8701, 4672, 11503, 24268, 888, 12585, 281, 7909, 2157, 1131, 2333, 269, 0, 9223, 281, 10732, 4718, 519, 3932, 540, 799, 540, 519, 2185, 9835, 590, 4594, 17281, 4663, 23788, 267, 519, 9510, 971, 29658, 538, 519, 1158, 888, 12585, 281, 476, 1001, 277, 530, 12494, 1194, 517, 23594, 4721, 0, 9223, 281, 6904, 1198, 798, 6385, 9023, 5210, 723, 593, 519, 1216, 4783, 888, 288, 269, 4826, 20256, 18493, 622, 883, 11517, 563, 289, 269, 4826, 11517, 7873, 5151, 883, 20256, 563, 290, 269, 9473, 18730, 18493, 919, 883, 13247, 563, 291, 269, 2776, 27457, 2787, 7873, 5151, 883, 1216, 20256, 563, 12585, 281, 645, 0, 9223, 281, 1548, 2749, 18799, 519, 476, 1220, 278, 2622, 26465, 923, 29073, 4721, 888, 12585, 281, 6289, 328, 9774, 23449, 5984, 0, 9223, 281, 1744, 1446, 568, 513, 24348, 4224, 602, 666, 581, 23009, 2216, 883, 1793, 622, 676, 692, 288, 269, 2781, 7695, 563, 289, 269, 3114, 29056, 563, 290, 269, 11159, 566, 563, 291, 269, 2799, 2604, 563, 12585, 281, 2799, 2604, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 5253, 543, 9373, 8877, 281, 1496, 3650, 518, 316, 1215, 547, 1118, 1025, 2658, 544, 4428, 1231, 1496, 27583, 316, 2776, 17742, 707, 14089, 269, 1496, 21163, 316, 1703, 616, 1079, 1114, 2081, 547, 1118, 9910, 1025, 2658, 544, 4428, 1231, 267, 835, 799, 3340, 18202, 28113, 543, 835, 602, 3096, 24113, 7423, 269, 634, 11600, 609, 18202, 28113, 786, 723, 811, 540, 513, 544, 4428, 514, 6438, 11007, 269, 3097, 288, 269, 634, 2034, 11600, 267, 855, 609, 24113, 7423, 267, 3340, 476, 275, 11680, 540, 2666, 28113, 543, 476, 272, 270, 273, 7484, 540, 5144, 269, 12763, 856, 891, 5820, 543, 1747, 873, 538, 513, 7893, 7484, 585, 11544, 563, 289, 269, 2060, 24113, 7423, 267, 519, 28113, 543, 24113, 7423, 786, 1205, 2770, 27918, 267, 607, 786, 519, 24113, 7423, 269, 22447, 543, 9932, 1711, 513, 1769, 267, 2770, 27918, 7848, 547, 1118, 2706, 1606, 11548, 4544, 9440, 544, 4428, 1231, 563, 290, 269, 24619, 24113, 7423, 5196, 519, 1283, 540, 519, 544, 4428, 514, 269, 645, 820, 621, 693, 476, 12573, 11019, 535, 630, 12293, 269, 279, 11019, 524, 264, 585, 827, 476, 1015, 3764, 563, 291, 269, 1717, 267, 519, 11600, 609, 24113, 7423, 568, 12863, 543, 3096, 1152, 2947, 5820, 269, 898, 781, 909, 547, 596, 799, 11600, 596, 9364, 899, 547, 1246, 256, 2991, 596, 4312, 6027, 3388, 856, 267, 3575, 782, 519, 3819, 5820, 883, 835, 12826, 585, 2653, 26311, 563, 12585, 281, 667, 0, 9223, 281, 6904, 540, 519, 1739, 1281, 10691, 1491, 1747, 538, 519, 1507, 16892, 888, 288, 269, 623, 4545, 805, 545, 9067, 848, 9397, 1524, 9600, 547, 9761, 7408, 543, 9848, 1356, 565, 563, 289, 269, 623, 788, 7562, 9397, 1524, 5946, 547, 11254, 7408, 563, 290, 269, 623, 4545, 805, 545, 26887, 848, 9397, 1524, 11950, 883, 2241, 14836, 563, 291, 269, 645, 850, 900, 6160, 5809, 9600, 883, 4130, 3170, 5536, 563, 12585, 281, 645, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 15265, 7372, 1007, 13470, 10537, 15454, 21312, 4189, 4418, 831, 834, 536, 834, 21312, 1007, 15265, 4189, 7372, 13470, 10537, 15454, 4418, 831, 834, 15017, 288, 281, 513, 0, 763, 1739, 9433, 1142, 4766, 513, 1305, 540, 5722, 3615, 11231, 538, 513, 6378, 1931, 269, 634, 6898, 616, 25401, 5812, 1369, 1142, 5037, 563, 692, 304, 281, 2201, 513, 7936, 267, 972, 616, 5722, 5017, 281, 513, 29039, 267, 513, 4544, 795, 599, 267, 513, 3775, 514, 267, 513, 23881, 935, 267, 513, 844, 841, 267, 513, 23832, 12704, 267, 543, 513, 986, 1597, 269, 634, 23881, 935, 568, 547, 519, 1318, 540, 519, 844, 841, 269, 634, 3775, 514, 568, 547, 519, 1318, 540, 519, 23832, 12704, 269, 634, 986, 1597, 568, 547, 519, 2451, 540, 519, 844, 841, 269, 634, 4544, 795, 599, 568, 519, 2034, 689, 519, 2451, 269, 634, 3775, 514, 568, 519, 3791, 689, 519, 2451, 269, 634, 29039, 568, 519, 3791, 689, 519, 1318, 269, 634, 29039, 568, 519, 3791, 689, 519, 1318, 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 ]

[ 531, 1091, 267, 543, 589, 651, 5899, 7238, 332, 269, 834, 289, 5306, 27528, 15215, 1701, 769, 4436, 27528, 3768, 15707, 27528, 15215, 267, 6032, 269, 476, 29616, 1700, 29575, 269, 853, 18636, 326, 691, 267, 476, 3192, 276, 563, 289, 517, 928, 325, 1195, 267, 962, 1407, 267, 735, 269, 834, 289, 5306, 545, 3733, 2195, 543, 15215, 595, 20975, 1701, 769, 1977, 267, 3979, 267, 543, 6196, 3864, 19088, 3098, 267, 6032, 269, 476, 25172, 1700, 26562, 269, 9628, 543, 5507, 267, 476, 1960, 274, 563, 289, 2958, 385, 378, 529, 267, 918, 5953, 337, 5894, 269, 645, 1794, 333, 13682, 30501, 642, 714, 527, 5953, 857, 9857, 1486, 758, 10008, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 272, 563, 289, 745, 385, 484, 523, 773, 802, 267, 631, 5953, 4135, 328, 385, 484, 20795, 269, 7354, 26245, 341, 773, 20795, 340, 882, 328, 384, 352, 529, 6390, 529, 533, 14505, 2737, 579, 345, 12921, 1846, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 271, 563, 289, 745, 385, 484, 523, 773, 802, 267, 631, 5953, 4135, 328, 385, 484, 20795, 269, 7354, 26245, 341, 773, 20795, 340, 700, 2727, 320, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 271, 563, 291, 1495, 592, 1329, 384, 501, 267, 2398, 534, 384, 501, 269, 7354, 990, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 2538, 6359, 320, 3352, 5378, 860, 6359, 320, 269, 966, 559, 333, 3780, 267, 476, 1960, 271, 563, 292, 514, 1817, 333, 267, 6754, 269, 654, 1221, 518, 5586, 2426, 3541, 2806, 326, 2714, 699, 344, 3768, 562, 32218, 3394, 589, 6199, 331, 879, 321, 839, 269, 15519, 320, 267, 4678, 16129, 267, 476, 14341, 278, 563, 292, 514, 1817, 333, 267, 6754, 269, 16024, 807, 32731, 3821, 281, 30605, 568, 339, 29817, 577, 516, 756, 2426, 3541, 1577, 339, 4593, 1156, 13780, 269, 16910, 6312, 267, 6480, 8205, 267, 476, 13932, 280, 563, 293, 5419, 3780, 267, 667, 542, 903, 3780, 269, 700, 643, 4577, 2801, 2351, 23706, 735, 754, 3930, 320, 3126, 267, 1225, 14397, 29775, 822, 334, 19161, 10458, 269, 853, 2335, 334, 681, 14241, 839, 328, 267, 476, 9692, 276, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 634, 7195, 1206, 269, 5507, 543, 1715, 3840, 267, 476, 3422, 274, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 8110, 330, 19476, 19063, 270, 8110, 684, 267, 519, 774, 8974, 2696, 540, 519, 7195, 1206, 543, 519, 23577, 338, 1701, 4750, 540, 21475, 26049, 5525, 476, 272, 267, 1100, 269, 476, 275, 630, 3192, 274, 2567, 476, 5379, 277, 1700, 275, 4281, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 763, 26403, 1014, 2696, 20653, 333, 5362, 1701, 769, 19088, 538, 21475, 26049, 4165, 18709, 267, 12995, 676, 717, 14283, 6276, 700, 1513, 517, 267, 6032, 269, 476, 9262, 1700, 10844, 269, 20588, 543, 11968, 13353, 267, 476, 3192, 275, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 289, 5306, 545, 700, 2727, 320, 1701, 769, 634, 5678, 540, 519, 31001, 281, 1133, 792, 2251, 519, 26726, 29062, 540, 5375, 31511, 267, 6032, 269, 476, 1556, 1700, 13647, 269, 5842, 12770, 267, 476, 2735, 280, 563, 294, 574, 8117, 553, 267, 25795, 10937, 269, 834, 763, 27397, 15215, 1701, 769, 634, 12389, 31001, 525, 267, 6032, 269, 476, 3192, 1700, 21497, 269, 20588, 267, 476, 1960, 280, 563, 294, 516, 574, 553, 267, 13641, 2273, 553, 808, 269, 7442, 773, 5884, 341, 639, 3352, 15662, 378, 3000, 384, 501, 338, 281, 700, 2884, 12320, 328, 385, 367, 5378, 860, 6359, 657, 801, 6359, 657, 269, 9628, 267, 476, 3192, 280, 269, 3690, 3836, 676, 631, 843, 320, 1715, 2006, 607, 2986, 29331, 543, 9093, 281, 5525, 538, 26403, 1014, 19088, 1108, 269, 2349, 334, 4040, 2023, 267, 1473, 1421, 476, 1960, 273, 563, 294, 14725, 822, 267, 17363, 269, 2776, 1380, 27528, 20048, 1731, 281, 1955, 30080, 1111, 14141, 964, 966, 699, 1231, 24166, 5884, 717, 525, 322, 747, 974, 3541, 28393, 345, 2776, 639, 572, 269, 2274, 760, 345, 580, 267, 5125, 267, 476, 6942, 277, 1700, 6245, 277, 563, 10817, 1725, 7236, 267, 1325, 612, 663, 549, 269, 590, 1301, 520, 23706, 2342, 2801, 6934, 1470, 269, 1975, 4275, 324, 267, 476, 15647, 272, 563, 296, 7079, 990, 267, 966, 10937, 25155, 525, 15442, 269, 834, 302, 544, 604, 641, 334, 384, 501, 16210, 25155, 525, 7288, 327, 15259, 2617, 1695, 4234, 344, 20795, 24989, 327, 546, 1690, 333, 1701, 769, 7195, 1729, 1606, 15442, 329, 13089, 773, 1615, 1194, 990, 534, 6359, 320, 476, 2735, 275, 267, 6032, 269, 476, 274, 1700, 2764, 269, 18293, 267, 476, 2735, 277, 563, 296, 7079, 990, 267, 966, 10937, 25155, 525, 15442, 267, 543, 32157, 5440, 528, 990, 269, 834, 289, 5306, 6359, 12921, 24652, 544, 604, 860, 6359, 320, 642, 521, 557, 974, 521, 9545, 27848, 601, 262, 7224, 1700, 626, 9461, 25155, 525, 7288, 327, 556, 330, 517, 11584, 330, 857, 329, 967, 4141, 341, 549, 701, 329, 24989, 327, 26927, 341, 333, 739, 324, 329, 1701, 769, 14858, 1080, 577, 337, 3424, 24166, 23577, 626, 1731, 476, 866, 267, 1100, 269, 476, 273, 630, 3192, 275, 2567, 476, 13893, 1700, 14991, 563, 296, 341, 1231, 330, 529, 267, 24789, 517, 553, 269, 7354, 990, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 2538, 6359, 657, 12190, 690, 571, 325, 6359, 320, 269, 18087, 684, 553, 267, 26403, 807, 267, 476, 4350, 279, 563, 297, 753, 976, 267, 808, 5953, 23036, 19499, 1206, 269, 12603, 1577, 339, 4593, 1156, 631, 2532, 523, 636, 345, 6686, 613, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 274, 563, 297, 753, 976, 267, 808, 5953, 23036, 19499, 1206, 269, 8575, 384, 352, 6359, 320, 4234, 341, 773, 20795, 340, 512, 2246, 553, 911, 323, 13682, 857, 329, 5953, 338, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 278, 563, 297, 2532, 1171, 527, 322, 345, 267, 19124, 269, 834, 288, 5530, 538, 26403, 1014, 19088, 1108, 1701, 2289, 328, 2545, 6776, 328, 476, 280, 630, 4198, 273, 2567, 476, 4792, 1700, 11793, 563, 297, 2129, 753, 976, 267, 27055, 329, 338, 269, 14216, 654, 817, 10235, 626, 3768, 3541, 590, 2794, 325, 613, 626, 269, 14351, 27048, 267, 476, 3422, 279, 563, 297, 517, 1998, 267, 18466, 269, 15776, 669, 753, 976, 7242, 860, 2294, 1577, 2023, 5886, 269, 8303, 267, 476, 4572, 280, 563, 298, 807, 1575, 320, 267, 2098, 574, 656, 553, 267, 589, 514, 631, 7564, 525, 2728, 267, 3397, 340, 623, 1690, 584, 267, 543, 717, 341, 18480, 18135, 4209, 269, 634, 3778, 540, 519, 27397, 18831, 269, 2997, 7534, 267, 6480, 8205, 267, 476, 1960, 280, 563, 299, 553, 545, 3780, 267, 3967, 269, 1546, 4144, 529, 6341, 698, 10560, 636, 1309, 2678, 28262, 4302, 590, 1301, 20345, 636, 1696, 535, 1023, 28262, 4168, 28262, 269, 5178, 850, 2801, 267, 476, 14065, 276, 563, 299, 4768, 1074, 1329, 384, 501, 267, 715, 6359, 565, 384, 501, 269, 7354, 990, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 5884, 11663, 3131, 330, 19476, 19063, 269, 966, 559, 333, 3780, 267, 476, 1960, 277, 563, 299, 4768, 1074, 1329, 384, 501, 267, 715, 6359, 565, 384, 501, 269, 834, 385, 510, 1203, 990, 384, 501, 2398, 19476, 338, 6359, 334, 16660, 2545, 339, 385, 367, 9161, 385, 367, 3352, 5378, 860, 514, 384, 501, 338, 911, 323, 545, 6359, 657, 737, 517, 974, 330, 4614, 1701, 769, 715, 340, 334, 737, 738, 334, 476, 5942, 1138, 2513, 1470, 267, 6032, 269, 476, 3451, 1700, 4649, 269, 966, 559, 333, 3780, 267, 476, 1220, 273, 563, 299, 2246, 523, 321, 1695, 338, 267, 808, 25207, 330, 11274, 269, 744, 25155, 518, 7288, 476, 714, 568, 30004, 4512, 1396, 990, 12921, 334, 1700, 26245, 344, 20795, 12921, 690, 334, 562, 541, 617, 333, 690, 334, 26725, 528, 25155, 652, 9366, 269, 30083, 329, 5271, 267, 476, 6245, 277, 563, 299, 2246, 523, 321, 1695, 338, 267, 808, 25207, 330, 11274, 269, 834, 383, 506, 828, 5884, 15215, 3541, 2913, 1084, 1701, 7395, 1794, 514, 476, 736, 267, 1100, 269, 476, 273, 630, 5002, 272, 2567, 476, 6200, 1700, 24129, 563, 300, 2335, 14551, 339, 267, 30247, 269, 834, 291, 773, 1577, 339, 4593, 1156, 12312, 333, 523, 3240, 1492, 1701, 769, 14858, 1080, 577, 337, 3424, 24166, 6599, 333, 860, 773, 476, 278, 269, 12670, 267, 476, 6942, 276, 563, 300, 2335, 14551, 339, 267, 30247, 269, 2913, 1729, 6261, 516, 1380, 27528, 717, 7238, 339, 614, 548, 327, 516, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4350, 277, 563, 12385, 1601, 1014, 267, 6307, 18741, 20860, 269, 834, 309, 652, 580, 525, 540, 519, 4980, 540, 519, 12624, 31001, 538, 27397, 23205, 16161, 1701, 769, 27397, 9085, 543, 23008, 2524, 267, 12995, 676, 1488, 341, 1749, 2098, 1221, 517, 529, 267, 1696, 620, 1421, 6032, 269, 476, 15686, 1700, 14096, 269, 19090, 267, 11882, 267, 476, 3192, 274, 563, 303, 529, 8643, 267, 966, 8636, 648, 269, 2274, 4984, 328, 632, 328, 595, 3881, 328, 552, 632, 328, 7195, 1729, 4149, 15442, 328, 715, 749, 262, 16402, 11985, 3348, 2077, 10005, 269, 30912, 267, 476, 4198, 271, 563, 303, 7795, 767, 267, 808, 22528, 269, 834, 763, 27397, 23202, 515, 517, 1701, 769, 27397, 9085, 543, 23008, 2524, 267, 12995, 676, 1488, 341, 1749, 2098, 1221, 517, 529, 267, 1696, 620, 1421, 6032, 269, 476, 4200, 1700, 11820, 269, 19090, 267, 11882, 267, 476, 3192, 274, 563, 305, 1380, 578, 267, 645, 953, 553, 541, 269, 18127, 320, 3541, 623, 709, 842, 345, 10370, 742, 1633, 339, 281, 14644, 2803, 556, 5300, 700, 643, 4577, 30946, 269, 15519, 320, 267, 4678, 16129, 267, 543, 2274, 760, 345, 580, 267, 5125, 267, 476, 7277, 277, 563, 385, 510, 332, 1080, 267, 623, 25207, 614, 529, 269, 4678, 341, 773, 20795, 340, 544, 13682, 339, 23383, 384, 352, 6359, 320, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4489, 279, 563, 385, 510, 332, 1080, 267, 623, 25207, 614, 529, 267, 1196, 269, 4678, 341, 773, 20795, 340, 32488, 752, 553, 796, 751, 1731, 553, 269, 476, 1428, 2019, 338, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4572, 276, 1700, 4350, 278, 563, 1805, 571, 340, 6199, 338, 267, 918, 5953, 337, 5894, 269, 32731, 7416, 12563, 339, 549, 9631, 632, 546, 7238, 6767, 269, 14351, 27048, 267, 476, 3707, 280, 563, 1805, 787, 329, 330, 3298, 5652, 267, 5839, 773, 329, 269, 918, 339, 7702, 929, 7458, 1399, 332, 562, 580, 11276, 15662, 350, 342, 9332, 5055, 562, 773, 11097, 345, 807, 22119, 320, 918, 1258, 11986, 2717, 338, 6390, 267, 700, 924, 9749, 6390, 267, 15662, 377, 7116, 345, 6390, 586, 530, 338, 5414, 560, 330, 773, 344, 15570, 328, 918, 6359, 3298, 330, 773, 344, 267, 17018, 330, 1171, 12921, 773, 344, 269, 918, 14337, 342, 773, 322, 267, 2398, 17892, 267, 476, 15647, 273, 563, 385, 510, 341, 5953, 2041, 267, 1488, 1386, 338, 269, 681, 752, 560, 328, 1612, 4234, 341, 9857, 12563, 3271, 340, 269, 15519, 320, 267, 4678, 16129, 267, 476, 4572, 274, 563, 12749, 528, 990, 267, 32157, 269, 834, 313, 600, 564, 7288, 1093, 2545, 339, 6359, 12921, 19390, 544, 604, 860, 4512, 1701, 769, 7195, 1729, 1606, 15442, 329, 13089, 6359, 521, 9799, 1731, 267, 6032, 269, 476, 29579, 1700, 27183, 269, 18293, 267, 476, 3192, 273, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 14600, 514, 384, 501, 338, 561, 2884, 12320, 328, 385, 367, 521, 752, 14741, 385, 367, 536, 19476, 1399, 321, 384, 501, 338, 269, 966, 559, 333, 3780, 267, 476, 3192, 278, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 932, 2023, 328, 20795, 330, 12118, 561, 2884, 12320, 328, 385, 367, 5378, 860, 6359, 657, 32488, 4954, 529, 269, 966, 559, 333, 3780, 267, 476, 2735, 278, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 634, 2622, 31326, 540, 519, 9147, 7195, 1206, 269, 3690, 3836, 676, 18243, 6359, 320, 1855, 330, 528, 1329, 384, 501, 269, 966, 559, 333, 3780, 267, 476, 2735, 280, 563, 309, 384, 501, 2993, 639, 267, 7439, 6975, 553, 269, 15707, 385 ]

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

[ 1809, 18896, 1090, 10401, 3081, 476, 736, 692, 274, 269, 3675, 655, 987, 27183, 14689, 692, 20365, 2856, 568, 2953, 269, 13071, 1118, 2386, 519, 12980, 568, 2953, 692, 275, 269, 3675, 655, 987, 27183, 14689, 692, 7445, 2765, 346, 272, 2410, 4037, 4153, 8999, 3709, 333, 284, 273, 23685, 13727, 4153, 3847, 7268, 2765, 346, 273, 2410, 276, 4153, 2431, 8203, 333, 7807, 2765, 346, 272, 2410, 4037, 4153, 3847, 7268, 2765, 3189, 2765, 346, 275, 2410, 27698, 12453, 272, 10559, 2765, 346, 273, 2410, 276, 14990, 2431, 22491, 276, 269, 530, 5115, 32057, 692, 1692, 798, 596, 1205, 476, 275, 270, 27698, 593, 1283, 2496, 277, 269, 3675, 655, 987, 27183, 14689, 692, 933, 616, 4358, 693, 562, 284, 273, 267, 711, 562, 284, 272, 269, 634, 1101, 2165, 540, 519, 5311, 568, 476, 275, 270, 27698, 780, 278, 269, 530, 5115, 32057, 692, 17764, 256, 634, 1101, 2165, 2439, 279, 269, 530, 5115, 32057, 692, 291, 7795, 256, 8729, 2439, 280, 269, 3675, 655, 987, 27183, 14689, 692, 344, 342, 256, 2433, 264, 0, 258, 1215, 1677, 4855, 18509, 7149, 769, 30551, 16387, 692, 3080, 540, 519, 4909, 2035, 538, 30551, 16387, 568, 519, 946, 540, 10974, 547, 5581, 2798, 538, 519, 7077, 269, 18833, 875, 547, 1265, 10974, 568, 1271, 538, 1082, 6310, 3156, 267, 971, 607, 24275, 3252, 267, 12719, 9883, 1063, 2798, 267, 543, 6061, 12166, 2042, 269, 769, 713, 2376, 267, 649, 786, 1865, 1114, 2081, 540, 4466, 10974, 538, 30551, 16387, 780, 8368, 692, 1012, 31951, 3213, 15453, 3590, 692, 763, 1034, 1455, 1505, 540, 8204, 2798, 538, 30551, 16387, 568, 998, 519, 946, 540, 519, 31951, 11282, 1062, 269, 901, 1062, 5161, 540, 1079, 13902, 1297, 3515, 267, 519, 1535, 14289, 543, 519, 586, 14289, 267, 799, 12969, 693, 513, 1448, 1572, 519, 5169, 269, 634, 2990, 540, 513, 1448, 538, 519, 7077, 568, 5462, 676, 922, 3845, 689, 519, 5169, 2059, 1142, 540, 891, 17887, 269, 634, 1535, 17032, 4564, 519, 8880, 3845, 689, 519, 5169, 267, 543, 519, 586, 17032, 4564, 519, 7299, 3845, 689, 519, 5169, 269, 634, 6292, 540, 2338, 630, 343, 267, 586, 264, 568, 1572, 519, 31951, 10974, 540, 519, 1448, 780, 2162, 7151, 1384, 13706, 519, 1448, 623, 799, 568, 4092, 693, 630, 274, 267, 476, 275, 264, 593, 519, 31951, 7077, 269, 901, 1797, 602, 519, 8880, 3845, 689, 519, 5169, 547, 623, 568, 476, 274, 4559, 267, 543, 519, 7299, 3845, 689, 519, 5169, 547, 623, 568, 476, 275, 4559, 780, 9616, 281, 634, 1535, 18396, 15453, 568, 2141, 2854, 1101, 267, 4553, 676, 519, 586, 18396, 15453, 269, 1924, 267, 630, 274, 267, 476, 275, 264, 568, 711, 519, 1482, 607, 630, 275, 267, 476, 274, 6393, 1012, 21069, 3213, 15453, 3590, 692, 5194, 1259, 540, 8204, 2798, 538, 519, 7077, 568, 998, 519, 946, 540, 8701, 10974, 269, 769, 713, 1062, 267, 1142, 1448, 568, 6719, 676, 606, 5086, 543, 513, 3845, 689, 513, 6378, 1448, 1572, 519, 15393, 630, 17141, 20922, 676, 519, 4484, 968, 302, 26158, 634, 3845, 689, 519, 15393, 547, 513, 1448, 623, 568, 1572, 519, 24293, 11282, 610, 519, 3845, 678, 267, 543, 519, 5086, 1063, 519, 8701, 7852, 630, 17141, 519, 2318, 1535, 14289, 264, 543, 519, 1899, 10126, 20525, 568, 1572, 519, 16070, 11282, 610, 519, 5086, 16564, 780, 2162, 7151, 1384, 13706, 519, 1448, 623, 799, 568, 4092, 693, 513, 3845, 540, 476, 276, 4559, 689, 519, 15393, 693, 606, 5086, 540, 476, 2568, 5232, 630, 1889, 25979, 4831, 22018, 3772, 689, 519, 2318, 1535, 14289, 1040, 634, 8701, 10974, 540, 623, 666, 581, 2854, 607, 630, 276, 267, 476, 2568, 4113, 6393, 1012, 20593, 1154, 9737, 21069, 543, 31951, 18509, 7149, 692, 15919, 267, 621, 949, 581, 2556, 547, 6460, 10974, 689, 835, 1062, 547, 1776, 269, 1677, 6460, 8701, 10974, 547, 31951, 10974, 267, 649, 946, 519, 1739, 12596, 1384, 1892, 1535, 815, 678, 5430, 16564, 454, 1892, 586, 815, 678, 5609, 16564, 692, 2414, 6460, 31951, 10974, 547, 8701, 10974, 267, 649, 946, 519, 1739, 12596, 1384, 1892, 678, 815, 21762, 3287, 273, 1341, 586, 273, 994, 1892, 16564, 815, 693, 534, 273, 12169, 267, 1535, 264, 610, 16564, 815, 16009, 268, 272, 12169, 24474, 2020, 9616, 281, 634, 693, 534, 273, 12169, 267, 1535, 264, 1599, 7024, 519, 5086, 4171, 17242, 568, 586, 24474, 267, 609, 519, 2953, 9076, 656, 5462, 676, 519, 4191, 540, 1535, 543, 586, 780, 1012, 10390, 692, 1103, 713, 2376, 267, 649, 723, 5941, 1114, 2081, 540, 4466, 10974, 538, 30551, 16387, 269, 634, 31951, 543, 8701, 11282, 1949, 616, 519, 1034, 1455, 2409, 585, 8204, 2798, 538, 519, 7077, 269, 1284, 723, 849, 5941, 875, 547, 6460, 1063, 891, 1079, 1949, 1210, 2241, 12596, 269, 1635, 1620, 891, 3741, 267, 649, 666, 4019, 873, 547, 4194, 513, 2647, 2039, 540, 6310, 2042, 780, 270, 265, 2608, 270, 3619, 909, 0, 258, 4569, 692, 22428, 602, 519, 772, 2529, 269, 14130, 15538, 540, 476, 6872, 17044, 543, 476, 6246, 14891, 7354, 2209, 269, 1215, 1082, 1114, 476, 1321, 16512, 26639, 1223, 581, 4646, 609, 476, 279, 17044, 6845, 2209, 543, 476, 275, 11180, 6845, 2209, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 274, 269, 26461, 479, 476, 14681, 454, 272, 269, 595, 263, 6872, 267, 279, 264, 1535, 595, 263, 6246, 267, 275, 264, 815, 3267, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 1234, 4176, 454, 663, 952, 865, 267, 875, 798, 594, 1011, 2033, 519, 2898, 3070, 269, 594, 993, 9117, 607, 513, 10026, 4116, 543, 723, 547, 1865, 875, 547, 960, 1142, 851, 856, 780, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 681, 6511, 454, 274, 269, 519, 2626, 814, 547, 581, 513, 2898, 1297, 267, 596, 666, 1405, 723, 851, 540, 513, 12233, 267, 630, 24392, 609, 1034, 6608, 602, 568, 15069, 2009, 2020, 290, 3799, 267, 337, 264, 610, 562, 24979, 454, 529, 3989, 607, 562, 256, 14370, 337, 256, 263, 333, 8573, 25631, 994, 663, 3947, 721, 519, 1297, 540, 10659, 540, 678, 1919, 689, 562, 1502, 756, 559, 2572, 692, 324, 3052, 269, 2016, 589, 267, 645, 267, 595, 267, 667, 267, 875, 1082, 4999, 540, 476, 273, 5022, 666, 649, 1106, 454, 32734, 1223, 1592, 873, 9474, 267, 8028, 267, 5084, 267, 7460, 267, 30183, 267, 543, 7131, 454, 27677, 823, 713, 1131, 581, 595, 263, 275, 267, 273, 264, 815, 476, 275, 256, 14370, 273, 256, 273, 26695, 284, 476, 275, 343, 274, 343, 273, 343, 272, 14370, 273, 343, 272, 343, 273, 343, 272, 264, 815, 476, 2190, 270, 275, 815, 476, 277, 692, 320, 1297, 899, 595, 263, 6872, 267, 279, 264, 568, 3833, 1804, 454, 19925, 476, 272, 269, 277, 5479, 692, 16100, 585, 513, 1883, 13042, 1945, 899, 454, 333, 24979, 692, 11687, 621, 593, 595, 263, 275, 267, 273, 994, 10938, 476, 275, 454, 12304, 476, 273, 526, 562, 24979, 454, 12304, 476, 273, 454, 23751, 9767, 1058, 1205, 476, 277, 692, 321, 13512, 267, 519, 2626, 547, 707, 2243, 568, 2356, 2451, 538, 519, 10035, 594, 1031, 267, 547, 2769, 621, 538, 922, 2407, 476, 1428, 7857, 1297, 568, 2864, 13777, 850, 780, 6701, 596, 3257, 713, 538, 10026, 1153, 11631, 26272, 454, 3602, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 1234, 4176, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 692, 22428, 602, 519, 772, 2529, 269, 14130, 15538, 540, 476, 2568, 17044, 543, 476, 2412, 14891, 6845, 2209, 269, 1215, 1082, 1114, 476, 1015, 16512, 26639, 1223, 581, 4646, 609, 476, 277, 17044, 6845, 2209, 543, 476, 275, 14891, 6845, 2209, 286, 780, 24216, 676, 654, 754, 344, 593, 4873, 476, 1321, 267, 476, 1001, 271, 454, 273, 269, 12693, 4569, 476, 14991, 692, 296, 991, 930, 948, 594, 723, 547, 8564, 835, 1966, 689, 519, 1582, 1790, 15462, 5751, 543, 4001, 519, 3070, 547, 707, 1362, 22940, 607, 952, 789, 941, 606, 10026, 1153, 2875, 269, 594, 723, 547, 1011, 2033, 621, 538, 2407, 3877, 269, 634, 1582, 1790, 15462, 1966, 692, 24216, 676, 681, 6511, 593, 5412, 476, 1691, 267, 476, 1001, 271, 454, 274, 269, 12693, 4569, 692, 272, 269, 634, 2475, 14130, 568, 7768, 540, 476, 273, 6845, 2209, 689, 1142, 540, 519, 476, 2004, 2829, 269, 1280, 513, 14097, 547, 581, 32738, 267, 693, 2547, 1079, 22188, 540, 519, 6845, 2209, 1459, 1590, 29343, 519, 14097, 269, 14597, 782, 6845, 2209, 616, 1459, 543, 476, 4366, 540, 873, 723, 20366, 538, 692, 24216, 676, 23770, 593, 5239, 476, 1626, 267, 476, 1001, 274, 454, 275, 269, 12693, 2271, 549, 547, 17438, 692, 1103, 513, 1978, 9550, 267, 519, 1651, 3518, 550, 17044, 786, 2196, 1996, 519, 14891, 9930, 710, 324, 269, 1703, 616, 1614, 14891, 10457, 267, 667, 272, 267, 667, 273, 543, 667, 274, 267, 4171, 8458, 540, 11543, 519, 14891, 9930, 1588, 616, 1547, 2004, 267, 1547, 3374, 543, 1547, 1428, 267, 6606, 780, 24216, 676, 2549, 601, 773, 593, 5988, 476, 1704, 267, 476, 1220, 279, 454, 276, 269, 12693, 10803, 692, 4131, 533, 272, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 6837, 630, 31359, 540, 24929, 264, 24339, 1846, 945, 616, 538, 3870, 540, 513, 1007, 16434, 3454, 593, 834, 329, 6064, 1426, 2668, 2913, 533, 273, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 692, 24216, 676, 5484, 593, 5437, 476, 2641, 267, 476, 1001, 271, 454, 277, 269, 12693, 10803, 692, 4131, 533, 272, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 6837, 630, 31359, 540, 24929, 264, 24339, 1846, 945, 616, 538, 3870, 540, 513, 1007, 16434, 3454, 593, 834, 329, 6064, 1426, 2668, 2913, 533, 273, 2099, 519, 2551, 8167, 540, 772, 2529, 269, 14130, 543, 692, 24216, 676, 5484, 593, 5437, 476, 2641, 267, 476, 1001, 271, 454, 278, 269, 12693, 6554, 692, 7617, 540, 519, 1739, 6898, 827, 18322, 568, 711, 3020, 286, 513, 4700, 538, 519, 6845, 622, 267, 9972, 640, 1869, 4249, 513, 1909, 607, 547, 945, 568, 12912, 12233, 11381, 15161, 536, 4700, 538, 519, 2777, 267, 3652, 593, 7521, 616, 811, 25516, 982, 538, 519, 6845, 622, 692, 24216, 676, 14780, 545, 3559, 593, 5437, 476, 1321, 267, 476, 1001, 277, 454, 279, 269, 12693, 3778, 692, 296, 2731, 991, 547, 1205, 476, 1911, 260, 593, 713, 2807, 476, 272, 269, 6904, 540, 519, 1739, 616, 6101, 20340, 585, 7674, 538, 519, 6845, 622, 286, 8564, 782, 602, 4019, 269, 589, 269, 18771, 581, 693, 2547, 476, 1789, 1296, 2025, 269, 30995, 645, 269, 18771, 581, 513, 772, 2529, 269, 12504, 269, 595, 269, 18771, 723, 513, 1876, 692, 24216, 676, 2353, 24480, 593, 5239, 476, 276, 267, 476, 1001, 277, 454, 280, 269, 12693, 6214, 692, 7617, 540, 519, 1739, 1223, 581, 1031, 676, 513, 17044, 6845, 1807, 547, 3625, 513, 3915, 6069, 676, 519, 14891, 5354, 538, 519, 14130, 286, 589, 269, 14329, 476, 2420, 645, 269, 634, 16390, 9730, 595, 269, 634, 8052, 675, 8917, 667, 269, 634, 2083, 756, 13831, 667, 2496, 24216, 676, 581, 341, 593, 2904, 476, 2767, 267, 476, 1001, 278, 454, 1015, 269, 12693, 4317, 2090, 692, 1432, 941, 519, 4408, 540, 519, 1101, 1079, 2797, 6105, 538, 519, 8087, 2829, 286, 589, 268, 14891, 543, 17044, 2878, 265, 645, 268, 14891, 543, 1733, 580, 595, 6363, 3985, 626, 543, 4165, 604, 3985, 626, 667, 268, 8549, 626, 543, 17044, 2549, 594, 2953, 2496, 24216, 676, 645, 21822, 593, 5437, 476, 736, 267, 476, 1001, 280, 692, 5415, 5381, 5999, 0, 17595, 6048, 2433, 13662, 25201, 454, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 5291, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 692, 898, 568, 4867, 476, 1240, 3967, 476, 1001, 278, 267, 476, 6021, 281, 7918, 692, 258, 5254, 2752, 16249, 14298, 2177, 1384, 15411, 1520, 3939, 13378, 609, 32233, 20226, 540, 9608, 32233, 3213, 778, 910, 15012, 13378, 18740, 547, 12160, 622, 780, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713 ]

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

[ 267, 596, 2811, 2469, 547, 991, 2230, 547, 1294, 519, 10167, 563, 1892, 3057, 476, 274, 6113, 476, 1001, 271, 267, 476, 4962, 281, 4097, 7537, 454, 295, 718, 810, 325, 296, 11803, 454, 3963, 798, 596, 3494, 602, 834, 5765, 909, 609, 17447, 257, 1797, 596, 616, 3257, 1945, 4636, 2496, 2252, 782, 596, 1616, 547, 798, 568, 3113, 873, 912, 2690, 476, 274, 343, 266, 476, 275, 344, 284, 476, 4281, 267, 952, 1535, 284, 271, 267, 1287, 476, 275, 344, 284, 476, 4281, 267, 586, 284, 476, 4281, 270, 275, 284, 476, 4375, 270, 273, 284, 476, 866, 269, 276, 269, 1403, 586, 284, 476, 271, 1287, 476, 274, 343, 284, 476, 4281, 267, 1535, 284, 476, 4281, 270, 274, 284, 476, 2918, 269, 634, 1535, 543, 586, 18448, 338, 616, 630, 2918, 267, 476, 271, 1070, 543, 630, 866, 269, 276, 267, 476, 271, 1040, 4460, 1346, 2798, 593, 519, 17887, 543, 2721, 519, 1899, 1063, 873, 780, 2690, 476, 273, 343, 266, 476, 277, 344, 284, 476, 7761, 267, 952, 1535, 284, 476, 271, 267, 1287, 476, 277, 344, 284, 476, 7761, 267, 586, 284, 476, 7761, 270, 277, 284, 476, 1321, 269, 1403, 586, 284, 476, 271, 1287, 476, 273, 343, 284, 476, 7761, 267, 1535, 284, 476, 7761, 270, 273, 284, 476, 3607, 269, 634, 1535, 543, 586, 18448, 338, 616, 630, 3607, 267, 476, 271, 264, 543, 630, 271, 267, 476, 1321, 1040, 4460, 1346, 2798, 593, 519, 17887, 543, 2721, 519, 1899, 1063, 873, 780, 2252, 596, 2731, 991, 519, 4834, 538, 834, 4812, 267, 9386, 257, 1106, 267, 476, 275, 344, 284, 476, 4281, 268, 476, 274, 343, 865, 1269, 344, 284, 1422, 2765, 346, 4281, 268, 476, 274, 343, 2410, 275, 13157, 1422, 2765, 346, 4375, 2410, 273, 32757, 2765, 346, 274, 2410, 275, 26507, 10608, 476, 273, 343, 266, 476, 277, 344, 284, 476, 7761, 865, 476, 277, 344, 284, 476, 7761, 268, 476, 273, 343, 267, 1269, 344, 284, 476, 1321, 268, 1422, 2765, 346, 273, 2410, 274, 348, 1535, 16859, 763, 4834, 616, 683, 831, 538, 6824, 1106, 269, 898, 568, 711, 2731, 2556, 547, 2322, 519, 2338, 538, 834, 20657, 2711, 257, 1106, 269, 0, 1012, 25201, 585, 5988, 267, 476, 1220, 278, 692, 2162, 476, 14056, 321, 1107, 2368, 3606, 24616, 593, 1008, 2406, 25276, 1109, 325, 17313, 692, 21938, 476, 2764, 267, 476, 1220, 278, 692, 2467, 616, 3833, 1109, 320, 1906, 1109, 1410, 3263, 540, 2067, 2036, 13541, 658, 6898, 711, 1008, 762, 538, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 824, 982, 519, 3283, 5941, 538, 11000, 269, 634, 8100, 7396, 2630, 1459, 1896, 540, 873, 543, 1683, 513, 3391, 547, 519, 2291, 550, 3332, 282, 594, 2523, 4363, 519, 4190, 16878, 1957, 676, 15537, 3244, 12121, 543, 538, 2489, 519, 2898, 4015, 1141, 602, 1957, 7902, 269, 594, 786, 2307, 596, 547, 17712, 664, 689, 3168, 693, 519, 20855, 600, 9461, 5336, 322, 2704, 3019, 1957, 585, 519, 942, 1373, 267, 2094, 922, 1292, 1267, 568, 519, 1543, 540, 519, 2063, 6780, 1305, 780, 2467, 616, 693, 2547, 1109, 18314, 2036, 13541, 658, 685, 2409, 585, 6029, 602, 513, 1599, 568, 711, 1008, 2406, 25276, 269, 2290, 568, 547, 946, 10832, 267, 713, 4480, 267, 1813, 547, 8303, 267, 3340, 513, 3787, 540, 2203, 3069, 267, 543, 568, 519, 1505, 540, 519, 6169, 596, 616, 4280, 547, 1683, 538, 519, 6780, 780, 763, 824, 1505, 2501, 689, 513, 6297, 2079, 540, 799, 3252, 616, 1008, 2406, 2698, 538, 4399, 3387, 2135, 3189, 338, 325, 13698, 23201, 1280, 713, 267, 835, 11225, 513, 3728, 21212, 15796, 540, 25276, 3252, 269, 901, 3340, 930, 1620, 540, 519, 1523, 540, 606, 3921, 1400, 269, 634, 3728, 21212, 630, 528, 6182, 345, 1122, 528, 322, 5414, 330, 264, 15796, 568, 3989, 607, 5205, 1384, 1892, 1269, 293, 318, 271, 3799, 6661, 333, 266, 272, 259, 563, 1892, 1269, 293, 18155, 10401, 266, 272, 12917, 333, 6661, 293, 29192, 10401, 18898, 3799, 29408, 1141, 519, 2706, 8161, 1797, 12055, 730, 1269, 333, 259, 2053, 563, 1892, 1269, 293, 29192, 14433, 3799, 6661, 293, 18155, 14433, 3799, 264, 12917, 333, 29408, 952, 4399, 14433, 259, 568, 3970, 780, 2080, 267, 4399, 3189, 14433, 3799, 2567, 562, 815, 271, 267, 272, 12101, 25854, 315, 4151, 568, 930, 1109, 3799, 1823, 264, 5311, 4780, 3101, 547, 4399, 14433, 259, 630, 604, 596, 616, 711, 3222, 540, 3921, 10904, 267, 11716, 585, 519, 4090, 1018, 519, 2063, 16083, 1797, 6393, 2690, 1383, 267, 1269, 293, 318, 272, 3799, 6661, 273, 333, 8961, 1269, 293, 318, 273, 3799, 6661, 273, 18898, 562, 8961, 1269, 293, 318, 274, 3799, 7751, 9428, 899, 513, 10518, 540, 1269, 333, 259, 7060, 540, 1109, 259, 273, 259, 543, 1269, 293, 318, 275, 3799, 7751, 9428, 899, 606, 12055, 730, 10518, 540, 7060, 540, 1269, 273, 8961, 972, 1373, 1269, 333, 259, 971, 23200, 269, 898, 568, 2653, 547, 1294, 602, 1142, 1269, 293, 5332, 259, 568, 18642, 25276, 543, 1109, 560, 2774, 569, 2810, 267, 602, 1269, 333, 259, 283, 259, 332, 259, 10522, 602, 1269, 293, 5332, 259, 568, 5555, 13856, 676, 1269, 293, 8548, 259, 630, 328, 4318, 1421, 602, 1269, 293, 5332, 17347, 7751, 283, 259, 293, 8548, 17347, 7751, 585, 782, 855, 1710, 7019, 1082, 2418, 540, 1269, 330, 259, 1070, 543, 602, 1169, 18642, 25276, 1599, 568, 5555, 13856, 676, 930, 1269, 293, 5332, 10608, 4935, 267, 952, 513, 1599, 5555, 2531, 7149, 1142, 1269, 293, 5332, 8961, 621, 3112, 581, 18642, 25276, 780, 763, 3921, 10904, 1683, 721, 609, 513, 1505, 585, 11173, 713, 5311, 1247, 8497, 602, 922, 2818, 616, 630, 324, 1203, 1302, 264, 2810, 543, 519, 5311, 3294, 568, 2810, 896, 22638, 28735, 269, 17166, 602, 513, 31085, 10288, 1305, 1269, 311, 259, 568, 1134, 268, 23912, 952, 621, 814, 1100, 12808, 27312, 11800, 269, 1280, 938, 5301, 267, 519, 3921, 10904, 616, 3274, 513, 1259, 547, 2911, 827, 1134, 268, 23912, 5036, 630, 5035, 1227, 267, 3921, 10904, 20922, 519, 1109, 4650, 2010, 540, 519, 1134, 268, 23912, 5036, 267, 1775, 4318, 1421, 519, 30424, 5049, 540, 891, 5036, 896, 519, 6935, 540, 1373, 1931, 28104, 25806, 269, 634, 2413, 21169, 568, 1114, 543, 649, 1810, 1406, 991, 621, 1934, 1040, 1284, 946, 1269, 333, 259, 547, 20301, 519, 1931, 1826, 540, 1022, 31085, 10288, 1305, 540, 1269, 333, 259, 2609, 267, 543, 1109, 2224, 4399, 18652, 259, 547, 2099, 519, 1931, 1826, 540, 519, 2067, 2338, 269, 1284, 1039, 685, 1109, 18314, 1931, 2010, 4399, 10401, 259, 543, 4399, 15883, 259, 676, 8108, 519, 771, 329, 2002, 9769, 540, 513, 1305, 540, 1931, 1826, 1109, 7445, 10401, 259, 4553, 676, 513, 1305, 540, 1931, 1826, 1109, 7445, 15883, 10608, 1284, 849, 2161, 602, 4399, 10401, 259, 568, 4130, 982, 4399, 15883, 259, 952, 1022, 1305, 540, 1931, 1826, 4399, 15883, 259, 814, 513, 630, 27393, 264, 3355, 10126, 1109, 1993, 1931, 1826, 4399, 10401, 10608, 1284, 666, 1287, 3136, 519, 1109, 30084, 1269, 271, 267, 272, 267, 273, 12101, 25854, 259, 540, 519, 2067, 2338, 267, 607, 5205, 1384, 7445, 18652, 12101, 18652, 266, 272, 12101, 18652, 266, 273, 12101, 25854, 12101, 18652, 476, 273, 12101, 18652, 476, 273, 266, 272, 12101, 25854, 12101, 18652, 476, 274, 12101, 25854, 12101, 18652, 317, 273, 12101, 25854, 12101, 18652, 317, 274, 12101, 25854, 6911, 3602, 649, 946, 4399, 18652, 273, 259, 547, 2099, 4399, 18652, 10954, 18652, 8961, 3092, 267, 4399, 18652, 317, 273, 259, 547, 2099, 4399, 18652, 315, 18652, 259, 543, 865, 593, 267, 543, 649, 666, 3136, 1256, 3564, 1384, 7445, 18652, 23373, 18652, 12101, 25854, 12101, 18652, 17353, 18652, 23373, 18652, 9574, 315, 25854, 6911, 24445, 4399, 22668, 318, 271, 259, 630, 22668, 268, 271, 264, 519, 1101, 1109, 867, 1400, 4399, 10401, 259, 5833, 713, 1259, 971, 602, 692, 7445, 10401, 7807, 18652, 23373, 10401, 259, 630, 810, 4399, 22668, 318, 271, 7807, 18652, 17353, 18652, 17353, 18652, 3867, 1862, 3686, 4151, 6393, 3080, 666, 1397, 602, 1022, 3921, 1400, 2630, 4399, 22668, 318, 271, 259, 8098, 1080, 513, 2189, 6986, 3490, 4399, 18652, 259, 8072, 6041, 267, 689, 799, 972, 568, 513, 2067, 1259, 540, 10747, 519, 5311, 4399, 3189, 14433, 3799, 2567, 333, 284, 271, 267, 272, 12101, 25854, 315, 4151, 4780, 3101, 547, 4399, 14433, 259, 8164, 4399, 14433, 259, 568, 513, 3970, 267, 799, 1797, 602, 621, 568, 711, 540, 519, 1106, 4399, 10401, 266, 272, 259, 585, 1022, 4399, 10401, 10608, 1280, 1383, 10484, 7445, 18652, 12101, 18652, 476, 274, 12101, 18652, 17353, 18652, 317, 273, 476, 274, 10954, 18652, 476, 1704, 266, 279, 348, 476, 276, 10954, 18652, 317, 274, 476, 273, 8961, 3092, 10484, 732, 782, 7182, 269, 1924, 267, 585, 1383, 267, 519, 5311, 4399, 3189, 14433, 3799, 2567, 562, 815, 271, 267, 272, 12101, 25854, 315, 4151, 7222, 547, 4399, 14433, 7807, 18652, 259, 568, 1175, 4399, 14433, 3799, 6661, 333, 259, 543, 519, 7222, 1599, 1269, 293, 29192, 18652, 259, 568, 3362, 2938, 547, 1332, 607, 519, 630, 10972, 21192, 264, 25532, 1069, 2335, 1599, 1269, 288, 3799, 19885, 7751, 282, 519, 5311, 7222, 547, 4399, 14433, 7807, 18652, 317, 274, 476, 275, 259, 568, 4399, 14433, 3799, 21174, 18652, 317, 274, 476, 274, 10954, 18652, 317, 273, 562, 8961, 3092, 269, 1109, 2026, 1354, 267, 1142, 1269, 293, 29192, 10401, 259, 568, 630, 324, 1203, 1302, 264, 14553, 2810, 543, 952, 4399, 10401, 259, 283, 7445, 15883, 259, 1287, 1269, 293, 29192, 15883, 259, 5555, 2531, 7149, 1269, 293, 29192, 10401, 10608, 3962, 1269, 293, 29192, 10401, 8961, 585, 4399, 10401, 259, 283, 7445, 22668, 318, 271, 259, 630, 663, 538, 1249, 267, 585, 1082, 811, 4399, 10401, 259, 264, 568, 25276, 780, 763, 6935, 540, 713, 5311, 609, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 6013, 538, 602, 1022, 1599, 1008, 2406, 25276, 538, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 568, 5555, 13856, 676, 835, 540, 519, 1269, 293, 29192, 10401, 259, 609, 4399, 10401, 259, 283, 7445, 22668, 318, 271, 10608, 1924, 267, 835, 17033, 2036, 13541, 658, 1259, 540, 6029, 602, 513, 1599, 568, 711, 1008, 2406, 25276, 568, 547, 1397, 602, 621, 5555, 2531, 7149, 1142, 971, 1269, 293, 29192, 10401, 10608, 901, 2186, 540, 2079, 729, 2919, 676, 3752, 990, 599, 543, 918, 17662, 523, 780, 2467, 616, 849, 824, 2081, 540, 11341, 4399, 3387, 2135, 3189, 338, 325, 13698, 4151, 547, 713, 1297, 4399, 22668, 318, 271, 8961, 543, 6169, 28466, 723, 513, 2603, 811, 547, 2161, 827, 713, 6935, 780, 1892, 17976, 4967, 593, 11999, 9981, 267, 676, 670, 269, 17054, 2006, 269, 630, 1220, 272, 994, 1892, 1133, 2889, 15344, 5376, 916, 267, 476, 1109, 2421, 670, 269, 17054, 2006, 269, 630, 1220, 276, 264, 6423, 8940, 269, 4118, 269, 2129, 1470, 15581, 12975, 270, 349, 325, 3072, 2006, 270, 2006, 11245, 338, 11258, 1109, 1721, 3606, 22251, 543, 3877, 563, 1892, 1133, 2889, 15344, 5376, 916, 543, 3728, 21212, 3252, 267, 676, 590, 269, 3244, 12121, 269, 769, 20603, 543, 2036, 13541, 923, 267, 590, 269, 3244, 12121, 267, 1196, 269, 1109, 4456, 306, 1109, 263, 2735, 278, 1916, 1892, 2201, 717, 7238, 23437, 538, 1260, 921, 28467, 543, 13113, 2036, 13541, 923, 267, 676, 589, 269, 20855, 600, 9461, 543, 918, 269, 5062, 2704, 3019, 269, 7788, 1023, 540, 26192, 543, 11930, 20603, 476, 3451, 630, 2735, 278, 1070, 476, 2537, 268, 6078, 780, 2162, 476, 14056, 321, 1107, 25613, 1815, 573, 1464, 543, 538, 1260, 921, 28467, 1107, 17976, 1109, 1556, 692, 21938, 476, 2767, 267, 476, 1220, 278, 692, 4131, 1269, 307, 315, 341, 323, 1662, 1627, 259, 581, 678, 4318, 269, 543, 15475, 972, 568, 513, 4845, 4399, 12534, 12978, 259, 1109, 7945, 602, 1269, 307, 259, 1281, 711, 6961, 1109, 7445, 12534, 12978, 10608, 3973, 1269, 307, 10954, 12534, 12978, 259, 28812, 811, 3532, 982, 1269, 307, 259, 538, 1079, 2081, 1384, 272, 269, 898, 18327, 811, 5376, 916, 982, 1269, 307, 259, 282, 585, 1383, 267, 1109, 4399, 12534, 12978, 259, 563, 273, 269, 898, 2488, 1454, 10156, 15997, 540, 5376, 916, 540, 1269, 307, 259, 282, 585, 1383, 281, 1280, 1022, 630, 20135, 264, 25276, 1599, 1269, 325, 259, 972, 568, 513, 4845, 1109, 7445, 9064, 259 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4090, 547, 1224, 998, 873, 910, 596, 1175, 1522, 1451, 1945, 4277, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24404, 916, 543, 17148, 454, 8310, 4860, 2213, 593, 281, 4873, 476, 1240, 267, 476, 1001, 279, 563, 8702, 547, 519, 1357, 3135, 540, 30059, 22505, 4675, 6123, 543, 922, 28930, 919, 630, 1492, 968, 19986, 3135, 5608, 968, 306, 924, 892, 610, 968, 306, 16291, 26158, 634, 1357, 3135, 568, 11262, 543, 13234, 676, 30059, 22505, 4675, 6123, 269, 7490, 1294, 519, 968, 23086, 2974, 892, 3296, 540, 938, 3896, 630, 4178, 269, 2181, 322, 2888, 6269, 6123, 28022, 264, 547, 7662, 811, 2143, 1344, 593, 519, 9165, 540, 938, 2533, 543, 585, 3346, 1344, 538, 519, 2680, 602, 596, 991, 1489, 610, 11889, 948, 563, 4322, 1357, 3135, 2474, 543, 2175, 540, 946, 630, 1492, 968, 24404, 916, 543, 17148, 5608, 968, 24404, 916, 5608, 610, 968, 13070, 872, 618, 14615, 1106, 513, 3656, 6876, 1063, 1142, 3593, 12462, 9767, 5608, 610, 968, 12528, 14615, 547, 713, 1357, 3135, 4092, 693, 8940, 269, 2181, 322, 2888, 6269, 6123, 28022, 630, 1492, 968, 306, 924, 14615, 543, 30059, 22505, 4675, 6123, 267, 922, 2385, 267, 13564, 25808, 267, 543, 824, 28337, 3549, 630, 3712, 937, 1947, 267, 968, 7093, 17800, 5608, 610, 968, 933, 14615, 7282, 707, 1569, 547, 543, 946, 540, 713, 13505, 563, 2414, 946, 519, 6796, 596, 1590, 3858, 547, 581, 3808, 676, 782, 540, 519, 2474, 540, 713, 15716, 269, 1280, 1569, 547, 543, 946, 540, 519, 13505, 267, 596, 3398, 513, 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, 1012, 7352, 766, 774, 11611, 281, 3816, 8221, 17972, 609, 8899, 7352, 766, 692, 1103, 3684, 1565, 543, 1239, 2079, 267, 4183, 5542, 568, 513, 2629, 1900, 2509, 2679, 513, 7347, 543, 3608, 2203, 269, 3171, 1155, 5542, 2337, 547, 2569, 936, 7257, 1154, 267, 2087, 6111, 267, 543, 6175, 2866, 942, 676, 9427, 13061, 543, 32118, 2934, 689, 519, 10471, 269, 2290, 2442, 1505, 585, 4183, 5542, 568, 519, 7352, 766, 774, 11611, 780, 2162, 1548, 568, 7352, 766, 774, 11611, 2496, 24868, 766, 774, 11611, 568, 513, 2241, 15977, 1935, 547, 4183, 5542, 269, 898, 18788, 782, 2934, 4171, 13065, 3085, 1405, 2743, 513, 1978, 12939, 269, 7352, 766, 568, 513, 2268, 540, 875, 1454, 519, 2418, 540, 513, 4183, 4268, 689, 519, 1611, 269, 589, 1970, 13065, 6920, 602, 519, 4183, 1281, 711, 3565, 1454, 547, 519, 2203, 267, 607, 922, 2418, 616, 5266, 3586, 780, 2162, 4208, 2422, 7352, 766, 774, 11611, 2496, 7230, 8221, 2934, 609, 1970, 13065, 666, 581, 6225, 585, 1896, 4128, 1384, 272, 269, 2878, 305, 14445, 532, 10155, 1275, 4995, 13722, 532, 519, 1297, 540, 2934, 666, 948, 547, 6175, 519, 6988, 540, 519, 2203, 543, 2087, 922, 2773, 563, 273, 269, 2878, 18719, 1324, 12985, 4398, 4995, 23225, 518, 2934, 1611, 1447, 12985, 2200, 616, 2838, 547, 5721, 543, 2196, 519, 2203, 563, 274, 269, 2878, 22879, 532, 936, 7257, 1154, 4995, 3816, 8221, 2934, 602, 798, 711, 3565, 1454, 547, 519, 2203, 666, 948, 2061, 936, 7257, 1154, 267, 799, 4386, 950, 513, 2203, 16137, 519, 2866, 1239, 1932, 1134, 543, 15824, 14605, 593, 1007, 267, 31305, 1239, 780, 2162, 1215, 547, 25956, 7352, 766, 774, 11611, 692, 2414, 2936, 7352, 766, 774, 11611, 538, 5124, 267, 649, 666, 946, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 689, 519, 2387, 12921, 16753, 8807, 324, 1155, 26000, 3005, 319, 9074, 269, 901, 1362, 2636, 721, 547, 1305, 513, 12939, 585, 519, 13065, 543, 4894, 2934, 609, 513, 13065, 2539, 982, 713, 12939, 780, 6524, 649, 666, 4019, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 267, 649, 991, 547, 8237, 938, 10471, 883, 513, 2934, 5119, 2387, 311, 319, 543, 513, 3077, 6152, 2387, 344, 18269, 1284, 666, 798, 713, 1210, 519, 2387, 1326, 318, 311, 14729, 32470, 319, 1599, 267, 799, 3217, 513, 4578, 20988, 543, 513, 3077, 6003, 607, 3403, 543, 7024, 519, 2934, 5119, 543, 3077, 6152, 912, 3499, 7090, 454, 5228, 17511, 1104, 8838, 1308, 454, 5814, 21795, 607, 19073, 454, 5228, 28189, 8807, 324, 1155, 26000, 3005, 1104, 7352, 766, 1320, 11611, 692, 3698, 1205, 318, 311, 14729, 32470, 29254, 281, 19073, 6185, 1092, 20988, 267, 3077, 9078, 8475, 281, 1193, 267, 678, 332, 318, 3534, 281, 536, 944, 815, 6936, 264, 9847, 24042, 912, 825, 8173, 825, 590, 680, 1080, 519, 3403, 4578, 20988, 883, 513, 2934, 5119, 543, 513, 3077, 6152, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 17093, 2433, 19073, 6185, 1092, 20988, 454, 1038, 634, 3403, 4578, 20988, 563, 825, 3077, 9078, 8475, 2433, 1193, 454, 1038, 634, 6003, 540, 519, 3077, 6241, 563, 825, 678, 332, 318, 3534, 2433, 536, 944, 267, 18593, 454, 1038, 6787, 547, 4894, 9343, 609, 7508, 2418, 269, 634, 9949, 568, 6936, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 24042, 454, 1038, 589, 24042, 5627, 519, 2934, 5119, 543, 519, 3077, 6152, 563, 825, 8173, 825, 952, 678, 332, 318, 3534, 912, 1038, 17093, 815, 17093, 6155, 1886, 3534, 4433, 889, 3553, 17342, 339, 13759, 9078, 8475, 20285, 825, 2473, 32470, 815, 17093, 6155, 1886, 6025, 13759, 9078, 8475, 267, 7852, 284, 272, 994, 825, 586, 32470, 815, 17093, 314, 339, 13759, 9078, 8475, 6540, 825, 2132, 2473, 32470, 267, 586, 32470, 454, 8199, 5629, 649, 723, 519, 2934, 5119, 543, 3077, 6152, 267, 649, 666, 4019, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 547, 4894, 2934, 609, 1970, 13065, 912, 3499, 7090, 454, 3698, 4894, 318, 869, 318, 19702, 766, 6958, 324, 2137, 29254, 281, 19073, 6185, 1092, 20988, 2676, 14030, 3077, 9078, 8475, 281, 1193, 2676, 14030, 12939, 281, 8838, 1308, 314, 15615, 316, 815, 476, 271, 269, 271, 2676, 14030, 3196, 318, 15209, 281, 8838, 1308, 314, 4289, 316, 815, 7183, 264, 9847, 19073, 6185, 1092, 20988, 912, 825, 8173, 825, 3816, 7174, 2934, 609, 513, 13065, 2539, 982, 519, 9138, 12939, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 17093, 2433, 19073, 6185, 1092, 20988, 454, 1038, 634, 3403, 4578, 20988, 563, 825, 3077, 9078, 8475, 2433, 1193, 454, 1038, 634, 6003, 540, 519, 3077, 6241, 563, 825, 12939, 2433, 10581, 267, 18593, 454, 1038, 17972, 609, 513, 2866, 1606, 564, 13065, 2539, 982, 713, 12939, 786, 581, 6569, 563, 1038, 634, 9949, 568, 547, 1832, 782, 2934, 609, 1875, 25179, 13065, 267, 1775, 4318, 269, 4894, 519, 2934, 454, 1038, 602, 723, 519, 1482, 1871, 538, 782, 5439, 563, 825, 3196, 318, 15209, 2433, 1592, 267, 18593, 454, 1038, 5903, 540, 2934, 799, 786, 581, 6854, 8726, 741, 13065, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 19073, 6185, 1092, 20988, 454, 1038, 23893, 607, 519, 3403, 689, 799, 2934, 609, 513, 1970, 13065, 10637, 3815, 1141, 6569, 563, 825, 8173, 825, 1948, 590, 5902, 519, 2934, 883, 1346, 547, 1184, 543, 1346, 547, 1832, 454, 825, 17093, 267, 6854, 6958, 324, 2137, 32470, 815, 8237, 6958, 324, 2137, 15461, 318, 15263, 32470, 29254, 267, 3196, 318, 15209, 994, 825, 562, 318, 651, 696, 815, 6854, 6958, 324, 2137, 32470, 17482, 314, 272, 316, 952, 6854, 6958, 324, 2137, 32470, 568, 711, 7183, 3116, 476, 271, 692, 825, 1948, 590, 5902, 519, 4578, 20988, 883, 513, 2934, 5119, 543, 513, 3077, 6152, 454, 825, 2473, 32470, 267, 586, 32470, 815, 1205, 318, 311, 14729, 32470, 29254, 267, 3077, 9078, 8475, 267, 678, 332, 318, 3534, 18989, 2020, 825, 1948, 17179, 2934, 609, 1970, 13065, 454, 825, 952, 2473, 32470, 17482, 314, 272, 316, 3436, 476, 271, 543, 2473, 32470, 17482, 314, 272, 316, 1341, 562, 318, 651, 696, 13843, 476, 272, 912, 1038, 568, 26000, 21124, 815, 7352, 766, 1320, 11611, 263, 628, 11611, 1040, 7257, 11583, 32470, 1040, 1326, 5334, 6269, 677, 4590, 1038, 2473, 32470, 815, 2473, 32470, 7456, 665, 18020, 568, 26000, 21124, 6540, 825, 1948, 1230, 13906, 523, 622, 519, 3077, 6152, 267, 519, 2934, 5119, 267, 543, 519, 6854, 2934, 454, 825, 2132, 19073, 26769, 13906, 8443, 344, 32470, 267, 2473, 32470, 267, 6854, 6958, 324, 2137, 32470, 3910, 7852, 284, 272, 994, 8199, 1103, 519, 2387, 24525, 318, 869, 318, 19702, 766, 6958, 324, 2137, 319, 1599, 267, 649, 1101, 8237, 519, 2934, 883, 1346, 547, 1184, 543, 1346, 547, 1832, 1210, 519, 2387, 20889, 6958, 324, 2137, 15461, 318, 15263, 32470, 319, 1599, 269, 901, 1599, 2636, 721, 547, 14574, 513, 1592, 540, 2934, 602, 649, 1616, 547, 1832, 267, 7488, 540, 741, 13065, 780, 2171, 1287, 8237, 519, 4578, 20988, 883, 513, 2934, 5119, 543, 513, 3077, 6152, 1210, 519, 2387, 1326, 318, 311, 14729, 32470, 319, 1599, 269, 1403, 519, 2934, 5119, 814, 811, 982, 835, 4183, 267, 649, 4019, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 547, 4894, 2934, 609, 1970, 13065, 269, 7053, 267, 649, 6677, 22760, 622, 519, 3077, 6152, 267, 519, 2934, 5119, 267, 543, 519, 6854, 2934, 883, 513, 2582, 4578, 20988, 780, 2162, 10390, 692, 24868, 766, 774, 11611, 568, 513, 2241, 2943, 2500, 1505, 585, 4183, 5542, 538, 3684, 1565, 543, 1239, 2079, 269, 1635, 9427, 2934, 609, 1970, 13065, 267, 649, 666, 2569, 10155, 1275, 267, 2087, 12985, 4398, 267, 543, 2057, 936, 7257, 1154, 269, 769, 713, 1837, 267, 649, 723, 4988, 519, 9238, 540, 7352, 766, 774, 11611, 543, 3254, 875, 547, 2936, 621, 538, 5124, 1210, 519, 2387, 24868, 766, 1320, 11611, 319, 1362, 689, 519, 2387, 12921, 16753, 8807, 324, 1155, 26000, 3005, 319, 9074, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 567, 2715, 339, 13759, 9078, 8475, 318, 9953, 8679, 825, 12939, 2433, 10581, 267, 18593, 454, 2018, 17972, 609, 513, 2866, 1606, 564, 13065, 2539, 982, 713, 12939, 786, 454, 2018, 581, 6569, 269, 634, 9949, 568, 547, 1832, 782, 2934, 609, 1875, 25179, 13065, 2676, 2018, 1775, 4318, 269, 4894, 519, 2934, 602, 723, 519, 1482, 1871, 538, 782, 5439, 563, 825, 3196, 318, 15209, 281, 5044, 6438, 267, 18593, 454, 1038, 5903, 540, 2934, 799, 786, 581, 6854, 8726, 741, 13065, 692, 825, 16849, 454, 825, 476, 9339, 8894, 825, 2715, 4206, 348, 23893, 607, 519, 3403, 689, 799, 2934, 609, 513, 1970, 13065, 10637, 3815, 1141, 6569, 563, 825, 29185, 825, 17093, 267, 6854, 6958, 324, 2137, 32470, 815, 8237, 6958, 324, 2137, 15461, 318, 15263, 32470, 29254, 267, 3196, 318, 15209, 994, 825, 562, 318, 651, 696, 815, 6854, 6958, 324, 2137, 32470, 17482, 314, 272, 316, 952, 6854, 6958, 324, 2137, 32470, 568, 711, 7183, 3116, 476, 271, 692, 825, 2473, 32470, 267, 586, 32470, 815, 1205, 318, 311, 14729, 32470, 29254, 267, 3077, 9078, 8475, 267, 678, 332, 318, 3534, 18989, 2020, 825, 952, 2473, 32470, 17482, 314, 272, 316, 3436, 476, 271, 543, 2473, 32470, 17482, 314, 272, 316, 1341, 562, 318, 651, 696, 13843, 476, 272, 912, 1038, 568, 26000, 21124, 815, 7352, 766, 14813, 3175, 15542, 528, 1320, 11611, 263, 628, 11611, 1040, 7257, 11583, 32470, 1040, 1326, 5334, 6269, 677, 4590, 1038, 2473, 32470, 815, 2473, 32470, 7456, 665, 18020, 568, 26000, 21124, 6540, 825, 2132, 19073, 26769, 13906, 8443, 344, 32470, 267, 2473, 32470, 267, 6854, 6958, 324, 2137, 32470, 3910, 7852, 284, 272, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519 ]

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

[ 0, 8080, 547, 938, 3408, 540, 875, 1141, 649, 2661, 666, 3310, 519, 8949, 6980, 649, 2972, 256, 4653, 267, 649, 2811, 2469, 547, 3605, 875, 1114, 2010, 540, 16973, 543, 4872, 899, 595, 32385, 10620, 267, 11882, 267, 3337, 741, 2189, 1426, 8916, 543, 5389, 269, 1284, 3513, 1256, 4685, 883, 930, 4583, 6237, 8286, 543, 1451, 827, 1483, 10040, 2059, 519, 1259, 2439, 5575, 267, 1577, 781, 2911, 827, 1018, 3947, 1142, 1747, 922, 3982, 8137, 9043, 1107, 922, 2878, 25988, 2675, 1901, 1262, 269, 589, 2749, 781, 1426, 2675, 1901, 568, 8032, 676, 1082, 2188, 971, 607, 922, 1686, 267, 11585, 267, 2916, 267, 543, 1004, 269, 1280, 1383, 267, 4025, 609, 32618, 2686, 5072, 1419, 723, 2757, 8286, 5293, 1524, 689, 5108, 547, 5108, 269, 2201, 519, 824, 1688, 267, 14421, 641, 13457, 2127, 1522, 1294, 811, 3309, 32345, 1813, 547, 2518, 11776, 269, 8528, 3086, 267, 1577, 781, 1491, 513, 6251, 1413, 693, 595, 32385, 10620, 267, 799, 19646, 513, 17175, 3575, 540, 1312, 2025, 543, 1007, 11477, 17008, 269, 4706, 3638, 6561, 11710, 689, 2038, 13896, 945, 4547, 741, 1378, 5986, 6163, 543, 5820, 689, 5125, 543, 8581, 269, 3683, 942, 267, 891, 9821, 20762, 609, 1346, 540, 824, 2950, 267, 2870, 2221, 781, 13621, 1494, 540, 32727, 696, 1190, 10366, 780, 3080, 26124, 5182, 1851, 595, 32385, 10620, 781, 15040, 22655, 568, 519, 12021, 2878, 290, 32385, 10620, 932, 8270, 1262, 269, 5213, 1405, 25657, 713, 8670, 609, 519, 11204, 4528, 282, 3079, 267, 4952, 513, 2295, 344, 5779, 14036, 29689, 609, 23342, 8869, 543, 3636, 14546, 6039, 936, 838, 698, 515, 26152, 256, 16319, 8966, 286, 2334, 781, 1317, 621, 568, 910, 855, 1810, 1405, 30391, 922, 586, 17026, 1465, 2394, 596, 2119, 621, 2439, 5194, 3815, 5935, 513, 4087, 781, 1426, 6429, 568, 922, 2878, 9418, 10040, 1262, 910, 4481, 267, 519, 5686, 540, 4213, 543, 5321, 1336, 972, 269, 6056, 827, 707, 554, 32528, 585, 513, 4090, 269, 3657, 972, 6266, 540, 14060, 610, 17365, 8637, 7404, 286, 1215, 827, 2146, 10651, 610, 6705, 6990, 286, 2353, 891, 2609, 3565, 547, 519, 3099, 543, 10333, 540, 1426, 5079, 2139, 547, 7264, 780, 1103, 1249, 267, 4683, 4058, 4249, 513, 1713, 1909, 1932, 269, 4975, 8387, 949, 1374, 622, 1978, 13102, 607, 1412, 25988, 24301, 10086, 2495, 789, 3668, 2653, 1569, 547, 4195, 3132, 543, 14312, 3681, 269, 17957, 267, 7524, 5010, 10851, 31523, 609, 552, 831, 625, 666, 6536, 5876, 543, 5647, 1851, 22730, 3168, 547, 1796, 856, 780, 3383, 267, 2436, 596, 21078, 538, 14297, 595, 32385, 10620, 610, 513, 1507, 4884, 11992, 267, 3314, 602, 707, 10450, 1404, 513, 9645, 851, 538, 8159, 519, 17705, 13000, 596, 7237, 3232, 269, 1635, 1620, 713, 4276, 1063, 3959, 267, 4087, 267, 543, 1426, 267, 649, 1831, 1732, 9280, 547, 5660, 543, 8661, 519, 4763, 540, 11477, 2833, 2066, 3013, 780, 4517, 945, 6487, 286, 9320, 835, 1554, 267, 9358, 1223, 948, 3337, 707, 2146, 781, 1426, 2675, 1901, 676, 6679, 909, 513, 13962, 7674, 707, 1920, 781, 1726, 25979, 10346, 610, 6427, 532, 513, 6216, 20642, 8670, 6273, 676, 707, 1378, 4282, 543, 9345, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 32385, 10620, 267, 11882, 568, 513, 6456, 17576, 950, 621, 2501, 547, 8819, 1258, 13929, 1642, 2074, 267, 5356, 8436, 513, 3309, 2039, 540, 11477, 2833, 602, 616, 2189, 547, 519, 3148, 269, 2060, 922, 1686, 12082, 538, 4436, 543, 9721, 6561, 267, 595, 32385, 10620, 779, 1426, 5251, 814, 7960, 936, 519, 1296, 547, 6451, 1585, 4529, 543, 7506, 269, 901, 12760, 540, 2757, 543, 2413, 10366, 5932, 513, 21318, 540, 1590, 2389, 787, 8286, 602, 1169, 21233, 547, 595, 32385, 10620, 1058, 1995, 563, 5804, 942, 3620, 517, 1819, 27825, 547, 5499, 13144, 267, 519, 2749, 3091, 513, 726, 2660, 540, 8819, 1258, 5669, 9035, 547, 5225, 782, 5493, 919, 269, 12875, 1235, 786, 1265, 606, 5044, 540, 632, 937, 762, 8286, 543, 2189, 2199, 32258, 602, 13686, 519, 2749, 779, 3638, 11477, 2528, 269, 667, 633, 2987, 607, 649, 3802, 596, 998, 519, 5023, 22476, 3536, 538, 595, 32385, 10620, 602, 616, 16798, 547, 4734, 513, 9434, 12705, 563, 2171, 786, 5031, 1808, 595, 32385, 10620, 3536, 602, 2099, 519, 2749, 779, 16471, 540, 2757, 543, 4207, 16919, 269, 3245, 519, 11599, 595, 32385, 10620, 31625, 547, 18960, 13144, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18600, 24529, 543, 16296, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 700, 12915, 11817, 910, 19484, 519, 23117, 540, 5384, 692, 1103, 519, 5318, 1163, 534, 572, 540, 1216, 4703, 1472, 519, 1158, 267, 561, 12915, 11817, 723, 11542, 899, 14980, 2366, 514, 1564, 267, 13057, 13837, 31600, 998, 30217, 748, 7297, 543, 10188, 873, 9108, 547, 741, 18353, 269, 1452, 26009, 3889, 616, 811, 982, 6071, 11265, 2261, 12069, 282, 789, 2099, 8103, 781, 2781, 553, 6804, 1391, 585, 1702, 543, 1852, 936, 938, 1604, 269, 769, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1686, 267, 1374, 267, 5106, 267, 543, 2686, 4644, 540, 891, 11599, 6698, 540, 17535, 3106, 780, 4089, 476, 272, 281, 589, 16684, 3778, 540, 700, 12915, 11817, 692, 6524, 11362, 883, 1808, 3344, 540, 561, 12915, 11817, 267, 1577, 721, 1101, 2263, 875, 891, 3889, 3357, 883, 6228, 269, 9147, 12977, 971, 607, 519, 21072, 543, 16380, 1031, 3595, 6786, 2059, 9381, 30917, 547, 24633, 9635, 827, 10898, 269, 1717, 267, 621, 7012, 1405, 2394, 519, 3735, 476, 1704, 628, 2540, 602, 6131, 561, 30224, 5656, 3459, 17729, 2066, 2342, 269, 3683, 942, 267, 8441, 538, 2029, 3366, 547, 9283, 538, 8654, 1949, 267, 4070, 2326, 267, 543, 12957, 2553, 267, 13321, 561, 12915, 11817, 883, 1898, 2645, 585, 7286, 12445, 780, 4089, 476, 273, 281, 5071, 15689, 543, 9577, 1275, 692, 4263, 922, 4295, 267, 513, 561, 30224, 5713, 1079, 3119, 3252, 281, 32749, 1769, 630, 6665, 1043, 1282, 1312, 1554, 543, 3781, 264, 543, 3280, 532, 32302, 950, 15287, 568, 4057, 269, 12465, 6272, 2874, 540, 7381, 544, 21863, 20610, 8027, 3532, 26816, 1181, 11623, 693, 741, 21895, 269, 7073, 14726, 2308, 20258, 5374, 10850, 610, 1256, 796, 3430, 2105, 26255, 656, 3889, 9280, 609, 3859, 14617, 10896, 8279, 269, 17859, 540, 1106, 267, 782, 561, 12915, 11817, 2671, 1455, 2934, 6322, 693, 21924, 2039, 543, 10727, 1107, 1519, 17122, 4463, 267, 8755, 3270, 267, 2992, 832, 267, 543, 20893, 1817, 985, 780, 4089, 476, 274, 281, 31838, 1977, 700, 12915, 11817, 692, 25567, 320, 19646, 3875, 8978, 543, 15520, 1713, 561, 12915, 11817, 16559, 2429, 922, 5032, 6050, 269, 7324, 891, 21889, 616, 15729, 670, 2660, 553, 8752, 13749, 538, 3345, 10491, 267, 24144, 10361, 8752, 538, 19051, 267, 543, 8672, 1234, 13433, 700, 30224, 538, 4993, 269, 3962, 3135, 3091, 2189, 4030, 883, 6237, 11585, 267, 6189, 267, 543, 562, 27658, 18691, 1247, 7674, 607, 2442, 15805, 18845, 780, 4089, 476, 275, 281, 27264, 27557, 543, 12634, 12694, 692, 2026, 12747, 4066, 11904, 2757, 812, 2740, 4238, 28572, 267, 1082, 21305, 561, 12915, 11817, 3068, 10714, 267, 9178, 267, 610, 30739, 23542, 819, 1813, 547, 6578, 10148, 269, 18641, 267, 3906, 899, 519, 2817, 19866, 700, 30224, 27264, 2920, 630, 26822, 299, 5183, 1070, 2199, 3140, 7239, 267, 543, 4357, 9988, 616, 2324, 24091, 547, 8190, 891, 9048, 2897, 762, 21056, 269, 30027, 3585, 267, 2916, 1689, 13514, 1007, 6937, 607, 8375, 4262, 2157, 543, 14556, 4328, 15420, 21279, 7925, 4609, 780, 4089, 476, 276, 281, 17583, 547, 7351, 12367, 543, 7464, 21509, 6201, 692, 9213, 267, 15870, 2029, 814, 7361, 5486, 5896, 16126, 593, 2168, 12508, 585, 12445, 269, 11048, 267, 561, 12915, 11817, 3136, 9159, 1857, 9345, 7064, 547, 17105, 1719, 538, 6561, 9235, 267, 13261, 19074, 3785, 267, 543, 7499, 11269, 538, 3332, 267, 4670, 267, 543, 8613, 269, 1280, 3236, 267, 2278, 9098, 23006, 571, 781, 1453, 781, 1433, 3126, 968, 299, 30224, 7731, 892, 3096, 10236, 25806, 2831, 547, 4001, 3407, 1272, 4245, 1369, 513, 3638, 569, 16545, 17535, 4259, 269, 6684, 267, 32026, 899, 968, 763, 7831, 8752, 26283, 892, 8774, 1769, 593, 519, 1480, 2427, 540, 891, 23836, 3889, 1247, 10223, 5571, 11091, 3646, 780, 6962, 1384, 4407, 2899, 4105, 3334, 540, 7286, 5989, 267, 2413, 7760, 723, 9927, 561, 12915, 11817, 883, 19644, 6698, 540, 9811, 6670, 792, 781, 15832, 543, 7045, 269, 1635, 3695, 741, 588, 528, 1221, 2250, 338, 267, 6946, 6272, 267, 11972, 9371, 267, 543, 4207, 10083, 267, 649, 2744, 513, 4514, 7071, 585, 891, 7415, 905, 1846, 540, 4702, 543, 27265, 269, 3414, 4797, 1489, 543, 14223, 267, 2104, 5481, 949, 849, 1995, 519, 9059, 540, 7555, 29691, 513, 12798, 933, 696, 1596, 2632, 800, 267, 575, 5074, 2390, 513, 32344, 581, 13154, 22815, 1424, 519, 14334, 267, 22090, 27128, 8941, 540, 1164, 15798, 5869, 923, 543, 2295, 2851, 7567, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 14967, 623, 18150, 8868, 619, 941, 7242, 860, 1242, 676, 4460, 30805, 607, 519, 5757, 1185, 606, 27093, 6891, 1394, 538, 519, 476, 5197, 271, 338, 269, 1306, 3013, 6410, 7178, 519, 9252, 2692, 1846, 941, 4904, 609, 12464, 6840, 267, 11315, 3197, 267, 840, 18291, 267, 4395, 4536, 2006, 543, 16681, 21031, 269, 898, 568, 6059, 602, 693, 621, 781, 8445, 2673, 547, 476, 1556, 267, 1822, 9252, 2692, 1846, 941, 22892, 909, 543, 1524, 519, 269, 634, 2203, 3800, 476, 1789, 1279, 689, 6367, 547, 29523, 20193, 781, 513, 32263, 14967, 623, 18150, 20253, 601, 6008, 14781, 520, 2203, 602, 786, 581, 513, 6643, 4062, 585, 1022, 4055, 543, 568, 2386, 547, 1831, 513, 30410, 7458, 1920, 25752, 5979, 558, 269, 5903, 532, 543, 10959, 2533, 3177, 676, 13504, 293, 5766, 269, 634, 6221, 834, 21914, 2986, 14967, 623, 18150, 24747, 29673, 5211, 29539, 476, 1789, 8381, 7844, 1306, 5145, 1194, 257, 568, 538, 9042, 2094, 13638, 267, 5130, 476, 2918, 267, 476, 1001, 277, 269, 901, 6221, 568, 538, 519, 7121, 834, 8624, 937, 17156, 315, 9558, 1636, 566, 315, 22517, 1846, 1299, 590, 4721, 315, 8448, 4425, 520, 1299, 26676, 11814, 17156, 2668, 634, 22673, 568, 834, 520, 331, 656, 529, 326, 3424, 257, 543, 568, 4092, 538, 1715, 3840, 269, 901, 6221, 666, 581, 25855, 547, 2136, 2276, 267, 4516, 267, 2136, 8003, 267, 16862, 267, 27597, 267, 30355, 25474, 267, 31697, 267, 16231, 14081, 267, 5685, 5055, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 299, 12915, 11817, 257, 607, 851, 540, 834, 16300, 13493, 1315, 18815, 1315, 4425, 1846, 267, 590, 4721, 1299, 7201, 4248, 14958, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1306, 12756, 2893, 2066, 689, 1200, 4387, 781, 11380, 267, 1352, 7948, 1405, 948, 855, 1745, 16397, 676, 519, 5868, 1352, 1185, 1175, 4607, 269, 18127, 2783, 267, 789, 1572, 621, 269, 898, 5433, 899, 513, 1272, 4845, 269, 2701, 3576, 513, 2620, 7362, 1354, 6998, 267, 834, 3674, 972, 4376, 594, 666, 798, 6484, 958, 547, 948, 4383, 713, 12482, 7804, 269, 10548, 790, 345, 10709, 539, 1394, 538, 1010, 11381, 543, 6743, 15826, 585, 513, 4090, 269, 834, 11039, 2437 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6637, 7170, 281, 667, 3496, 3414, 3778, 281, 1215, 8866, 3807, 6145, 1411, 4477, 6244, 23426, 3776, 2622, 2439, 5970, 596, 2479, 11074, 547, 1589, 827, 875, 1454, 938, 1158, 814, 4957, 936, 942, 286, 3245, 519, 9660, 649, 5957, 547, 519, 2029, 649, 946, 1169, 1554, 267, 621, 781, 2182, 547, 4952, 1018, 1272, 729, 899, 1256, 1175, 513, 4627, 1296, 3516, 256, 1809, 835, 3364, 602, 18387, 1405, 4957, 568, 1004, 781, 2648, 540, 2348, 1187, 543, 11589, 2933, 998, 7544, 780, 5331, 1373, 513, 4819, 2713, 1282, 519, 11633, 7169, 538, 519, 3735, 476, 5197, 271, 338, 269, 5517, 1559, 941, 1630, 4040, 267, 4872, 941, 3395, 267, 543, 1004, 941, 3001, 2476, 689, 741, 11396, 547, 1265, 6009, 538, 22125, 4683, 2127, 269, 2060, 865, 1082, 1007, 1004, 4947, 1927, 538, 835, 1747, 267, 972, 729, 3808, 547, 581, 930, 5863, 15472, 8345, 256, 1656, 602, 781, 4010, 1018, 5949, 780, 1103, 1249, 267, 3214, 5129, 513, 2462, 1909, 538, 5935, 519, 23929, 540, 519, 942, 269, 1358, 1131, 5531, 693, 8265, 6105, 543, 2146, 2621, 267, 1141, 789, 1131, 6427, 1007, 7575, 543, 2671, 873, 609, 1142, 824, 269, 2368, 540, 891, 23929, 2968, 3552, 569, 2442, 267, 10825, 782, 2066, 519, 2197, 543, 5555, 1472, 519, 1158, 780, 3719, 15472, 7012, 1405, 1175, 513, 1259, 585, 3214, 547, 723, 1187, 282, 621, 849, 5280, 3142, 2950, 1927, 269, 4438, 2352, 2053, 267, 971, 607, 10617, 610, 2804, 1244, 11306, 267, 1004, 5828, 547, 7544, 607, 513, 2707, 540, 4313, 543, 9322, 269, 1635, 4947, 1927, 543, 4687, 741, 2648, 540, 2575, 543, 3350, 267, 3214, 1223, 7340, 741, 13542, 585, 513, 1247, 543, 1175, 2972, 1373, 3214, 780, 24137, 4464, 547, 2221, 267, 543, 711, 1454, 814, 4957, 269, 17610, 267, 519, 6163, 540, 7544, 1522, 1413, 1114, 1631, 982, 789, 1705, 1394, 1287, 267, 855, 519, 6891, 3788, 519, 1482, 269, 6787, 621, 781, 2736, 323, 3496, 593, 2749, 10754, 267, 12048, 5577, 538, 28180, 3490, 906, 267, 610, 2757, 12563, 23929, 5293, 1524, 998, 5481, 267, 3214, 616, 1869, 1210, 7544, 607, 513, 1259, 547, 1921, 609, 1866, 543, 1711, 1945, 4190, 780, 4517, 945, 6487, 1107, 6148, 14693, 267, 513, 7544, 2813, 676, 3214, 1175, 899, 596, 786, 1831, 519, 1985, 2518, 14815, 256, 1924, 1810, 1405, 581, 12922, 547, 1205, 856, 972, 543, 1376, 3001, 269, 5808, 6487, 1018, 2186, 540, 1764, 596, 1522, 723, 593, 519, 1158, 540, 7544, 2496, 12244, 14313, 1384, 265, 3194, 2199, 12563, 23929, 543, 2119, 3450, 873, 547, 707, 15032, 563, 265, 8073, 707, 1378, 7544, 6296, 543, 1685, 621, 585, 707, 2828, 543, 1920, 563, 265, 5994, 596, 5030, 1282, 519, 11633, 7169, 269, 1548, 2186, 540, 7544, 1131, 596, 1711, 547, 2992, 707, 2833, 286, 8571, 513, 4605, 540, 3054, 7900, 621, 543, 2671, 621, 609, 707, 1362, 563, 265, 19877, 2576, 538, 707, 2146, 945, 14560, 547, 7544, 269, 9105, 873, 1946, 789, 3323, 15472, 543, 1018, 621, 1797, 547, 873, 269, 9523, 741, 1650, 609, 707, 1362, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 10674, 2517, 4178, 6155, 10216, 268, 1636, 531, 3820, 8070, 2745, 1607, 568, 519, 7608, 4528, 540, 513, 1957, 3370, 538, 2274, 15370, 270, 10753, 529, 597, 269, 901, 1957, 814, 1044, 701, 518, 24595, 855, 1281, 711, 1331, 519, 3803, 17404, 6169, 2275, 528, 516, 2388, 610, 4760, 335, 698, 1588, 5861, 2787, 585, 519, 3312, 3370, 1957, 630, 11437, 540, 2594, 2567, 3891, 1731, 7219, 523, 267, 590, 269, 630, 1708, 272, 264, 291, 3496, 998, 1272, 538, 513, 4657, 1158, 281, 5020, 1576, 267, 3140, 942, 543, 3978, 548, 15370, 8867, 15370, 270, 476, 274, 16966, 547, 519, 3370, 4528, 949, 2154, 20478, 12991, 11065, 269, 1879, 19696, 713, 960, 267, 13712, 519, 3312, 3370, 1957, 269, 476, 1708, 272, 634, 8191, 4433, 1040, 15618, 676, 22252, 320, 5177, 17290, 267, 9467, 607, 13177, 1299, 14731, 27026, 269, 901, 568, 606, 7046, 7457, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 16920, 9084, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 17821, 16532, 799, 14998, 1875, 10687, 14293, 556, 14025, 267, 3892, 267, 543, 10063, 322, 2389, 542, 538, 1415, 5420, 267, 3177, 519, 3312, 960, 568, 5265, 11855, 267, 543, 568, 711, 12012, 267, 9927, 267, 11497, 16742, 2390, 538, 1022, 1259, 10422, 9007, 550, 3095, 547, 713, 4528, 281, 10674, 2517, 1248, 21993, 321, 269, 572, 270, 637, 9876, 286, 1248, 2712, 333, 281, 333, 16818, 281, 572, 281, 330, 879, 281, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 8466, 1315, 4937, 1315, 4317, 7827, 1299, 21637, 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, 2878, 309, 3336, 4422, 519, 11272, 2961, 281, 1215, 15346, 1715, 15306, 2052, 16440, 14559, 543, 6435, 519, 14136, 256, 4373, 20756, 972, 267, 2104, 3401, 543, 3375, 24237, 256, 4653, 649, 2811, 2469, 547, 4685, 883, 1945, 2706, 3579, 543, 1271, 8345, 538, 519, 18914, 2872, 12544, 3014, 1680, 518, 1572, 834, 309, 12317, 1834, 3562, 8566, 5090, 2437, 610, 966, 273, 294, 267, 2029, 269, 5213, 1405, 5855, 952, 621, 4992, 7294, 282, 596, 3513, 4166, 1831, 513, 605, 256, 9462, 504, 501, 414, 504, 350, 20804, 6930, 490, 491, 692, 5331, 2348, 707, 1360, 1378, 3167, 1286, 267, 1990, 6235, 1472, 4884, 1247, 4543, 4688, 1312, 2724, 543, 519, 1604, 256, 16319, 1932, 1434, 547, 581, 3020, 286, 4270, 267, 3180, 5196, 707, 16295, 1317, 609, 966, 273, 294, 10509, 267, 713, 5326, 3587, 4641, 256, 2913, 781, 1101, 1174, 1018, 2306, 606, 3167, 1286, 2027, 3379, 547, 922, 17405, 13413, 780, 265, 11272, 6517, 4558, 1648, 538, 1804, 9075, 267, 1175, 899, 707, 6049, 610, 16979, 269, 901, 13071, 873, 2196, 12347, 1510, 1022, 5739, 5434, 269, 962, 599, 585, 2973, 2011, 2336, 265, 932, 1173, 532, 707, 3167, 1286, 568, 899, 1201, 3241, 532, 267, 4849, 3079, 540, 9683, 513, 3154, 6728, 267, 596, 11690, 621, 883, 513, 12123, 6728, 269, 14168, 890, 6470, 2439, 3086, 4952, 1373, 2111, 547, 798, 811, 982, 1175, 6117, 707, 3167, 1286, 1765, 6343, 952, 596, 1223, 849, 948, 1379, 707, 1753, 543, 1256, 2671, 930, 10433, 609, 707, 12543, 286, 2334, 781, 1141, 966, 273, 294, 2501, 538, 256, 898, 2636, 1079, 17574, 2792, 1063, 707, 3167, 1286, 543, 519, 1379, 7470, 630, 9767, 917, 267, 1346, 2462, 20610, 543, 12904, 8744, 5201, 547, 707, 2777, 1040, 2060, 966, 273, 294, 267, 1934, 781, 1018, 9059, 4523, 1384, 272, 269, 2659, 3167, 1286, 10997, 950, 5201, 568, 10731, 543, 10464, 267, 2356, 3735, 693, 3781, 610, 1282, 1055, 24406, 752, 3108, 563, 273, 269, 1879, 5201, 3747, 26389, 267, 707, 1286, 12909, 547, 519, 1379, 7470, 543, 15920, 3063, 1648, 1394, 267, 7303, 3109, 8083, 543, 9494, 3025, 2724, 2336, 274, 269, 6884, 267, 596, 949, 1256, 7118, 12587, 585, 3246, 713, 3407, 3028, 547, 707, 2146, 256, 13185, 827, 3094, 2914, 514, 3871, 2439, 4131, 781, 1589, 540, 966, 273, 294, 899, 513, 7874, 8378, 4871, 602, 8637, 543, 8843, 1648, 3079, 540, 9489, 269, 1635, 2324, 1927, 267, 649, 1711, 8902, 2950, 267, 18668, 530, 24548, 267, 543, 513, 22928, 4541, 256, 1924, 1985, 942, 2576, 12134, 1946, 596, 2648, 3167, 6517, 267, 2995, 1412, 655, 789, 2811, 711, 1152, 1187, 547, 5397, 855, 616, 5100, 4891, 538, 2870, 513, 1732, 1158, 2439, 4517, 7058, 1018, 286, 14992, 899, 7720, 1460, 320, 543, 2817, 25373, 616, 2907, 1818, 713, 4755, 998, 2090, 543, 3785, 5473, 4213, 543, 6608, 269, 5808, 6487, 1765, 16673, 2041, 835, 1554, 9358, 1223, 1291, 971, 513, 14262, 11036, 256, 13773, 8049, 267, 1832, 1565, 267, 543, 3314, 2507, 1492, 2104, 540, 3039, 6283, 6238, 1318, 1631, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2026, 851, 540, 519, 4972, 585, 6355, 267, 6052, 543, 11633, 15613, 630, 23813, 3041, 264, 6174, 3562, 3766, 5090, 1788, 630, 309, 273, 294, 1070, 519, 2817, 25373, 543, 6007, 543, 3859, 6109, 7720, 1460, 320, 786, 1491, 851, 540, 538, 513, 1353, 547, 1294, 875, 3167, 6174, 946, 666, 4324, 10256, 563, 2026, 851, 540, 513, 931, 24832, 540, 14540, 6131, 547, 3384, 2048, 323, 18182, 7266, 1042, 1870, 3631, 547, 1489, 513, 4028, 5066, 856, 540, 6174, 3562, 3766, 5090, 630, 309, 273, 294, 264, 4066, 5608, 519, 1353, 786, 1413, 693, 519, 1655, 2081, 547, 10996, 643, 1047, 6174, 547, 7470, 2029, 563, 2419, 5142, 19159, 267, 7720, 1460, 320, 8783, 2029, 11464, 267, 1767, 281, 968, 25821, 6472, 786, 1404, 513, 1883, 1909, 538, 1232, 12365, 2358, 4155, 3560, 855, 2322, 1007, 7569, 593, 938, 1379, 3060, 269, 966, 273, 294, 1223, 3142, 2101, 9806, 267, 676, 5883, 713, 3747, 543, 4227, 519, 991, 585, 14427, 18175, 10232, 563, 14071, 666, 2539, 519, 1942, 540, 26539, 3167, 6517, 543, 1489, 2208, 540, 713, 5823, 676, 4687, 891, 9806, 9425, 267, 865, 602, 10256, 4324, 689, 519, 946, 540, 741, 9075, 547, 1489, 519, 7470, 3034, 13233, 25373, 543, 5375, 5295, 17392, 786, 18973, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 309, 12317, 1834, 3562, 8566, 5090, 630, 309, 273, 294, 264, 5303, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 24322, 1315, 14825, 9394, 12752, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 875, 2029, 666, 948, 721, 1711, 1732, 4255, 543, 17118, 256, 1411, 1522, 1589, 602, 4152, 568, 1175, 827, 11423, 538, 18616, 593, 513, 1085, 656, 1258, 6656, 610, 16460, 2055, 693, 519, 1439, 540, 513, 3184, 269, 1809, 1705, 596, 917, 602, 972, 616, 1004, 945, 1353, 875, 547, 1118, 4255, 811, 1187, 267, 4277, 267, 543, 2500, 286, 2334, 781, 1141, 2029, 2501, 538, 2439, 5331, 952, 649, 1223, 1491, 513, 1449, 602, 5433, 899, 4730, 513, 3381, 3014, 610, 10004, 1154, 609, 513, 8773, 269, 16319, 3579, 267, 1318, 286, 1452, 5686, 540, 4255, 616, 1572, 834, 974, 9592, 10276, 327, 2331, 3688, 2437, 1317, 789, 946, 2029, 547, 1118, 873, 811, 7317, 543, 2502, 269, 1358, 666, 1397, 5961, 267, 7044, 267, 610, 1256, 2307, 596, 547, 8749, 543, 6749, 4267, 3079, 540, 1175, 8939, 835, 689, 513, 1592, 780, 3719, 1946, 979, 998, 782, 713, 8373, 286, 4270, 267, 950, 649, 1491, 513, 1449, 267, 621, 781, 711, 1175, 827, 7487, 1018, 649, 917, 693, 602, 4090, 269, 18873, 666, 849, 2995, 721, 1018, 649, 991, 547, 960, 593, 543, 875, 1134, 649, 1174, 1114, 3584, 269, 1635, 1818, 4255, 811, 1187, 543, 2502, 267, 891, 2029, 10276, 327, 2331, 3688, 666, 2965, 948, 721, 1451, 1732, 2439, 4131, 781, 1413, 693, 930, 1806, 269, 5994, 2921, 513, 2257, 1449, 1141, 596, 1205, 547, 2263, 513, 5691, 2978, 543, 2932, 6901, 269, 2107, 6148, 596, 2811, 1565, 513, 4914, 1893, 267, 543, 596, 2259, 6340, 609, 513, 2780, 1982, 602, 17358, 1018, 596, 2161, 543, 3947, 596, 5955, 269, 15346, 267, 26001, 2496, 4913, 267, 2870, 891, 2029, 10276, 327, 2331, 3688, 3884, 1405, 2653, 269, 1284, 991, 547, 1118, 2386, 789, 2268, 1018, 649, 1616, 873, 547, 2268, 630, 3697, 1620, 513, 3621, 1523, 610, 6616, 6863, 1913, 1070, 543, 602, 3025, 814 ]

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

[ 676, 25865, 1824, 3340, 9836, 1427, 20995, 3292, 6322, 693, 30015, 4600, 609, 1270, 15363, 1983, 2877, 585, 17706, 12371, 32069, 609, 12957, 4066, 780, 276, 269, 276, 12834, 454, 1366, 21387, 1607, 3184, 3177, 606, 538, 3829, 2079, 540, 10319, 11608, 267, 16439, 741, 5072, 1394, 547, 23806, 899, 14339, 2284, 15588, 338, 945, 19424, 539, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 305, 617, 2284, 15588, 338, 7012, 1406, 8348, 538, 476, 1220, 273, 547, 9651, 513, 7058, 827, 950, 519, 2591, 540, 17562, 1131, 581, 7753, 269, 968, 8253, 538, 1079, 1296, 610, 1614, 1296, 2223, 15588, 338, 7682, 539, 1282, 606, 12752, 25582, 5967, 602, 1032, 269, 968, 3719, 568, 621, 2469, 547, 581, 1934, 538, 476, 1789, 1296, 610, 476, 2412, 1296, 286, 594, 6557, 711, 3833, 5423, 1496, 1729, 1118, 513, 12605, 316, 3034, 26170, 538, 513, 1433, 3370, 1287, 543, 519, 5967, 267, 646, 5795, 721, 513, 32708, 693, 1018, 621, 1131, 1413, 899, 950, 621, 8452, 281, 968, 13681, 1824, 602, 1491, 6044, 3362, 2864, 982, 3283, 602, 2154, 3108, 540, 5752, 942, 282, 11608, 602, 666, 948, 538, 1507, 1532, 2255, 4238, 2864, 982, 3283, 602, 1152, 1118, 2883, 2631, 538, 6024, 610, 5176, 6024, 6378, 5106, 5468, 609, 1279, 8255, 282, 11608, 609, 1514, 5872, 1983, 282, 892, 543, 11608, 602, 2569, 3790, 593, 519, 12051, 6989, 563, 2691, 15588, 338, 543, 1010, 2754, 1765, 515, 779, 13653, 543, 11632, 302, 540, 681, 996, 1074, 29790, 1765, 842, 22004, 645, 1314, 614, 538, 476, 1001, 273, 267, 646, 8910, 9447, 593, 1169, 20487, 269, 7831, 1032, 267, 609, 519, 4367, 540, 27517, 9807, 267, 646, 9447, 593, 1869, 2943, 1776, 1271, 521, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 14464, 11106, 1315, 4937, 1315, 29790, 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, 1724, 281, 14958, 532, 3281, 2454, 10439, 15881, 2510, 281, 1323, 22410, 540, 19565, 27140, 18753, 5071, 12708, 338, 692, 1724, 269, 272, 4985, 692, 24058, 6386, 616, 3532, 2645, 585, 2792, 267, 3226, 950, 18705, 585, 11174, 15923, 9458, 945, 949, 581, 3384, 741, 2542, 8223, 5759, 269, 901, 3184, 12538, 883, 8642, 1374, 30304, 2556, 547, 1711, 2502, 3308, 2984, 538, 5373, 543, 14745, 8658, 269, 1284, 2263, 1585, 3344, 971, 607, 11768, 267, 1462, 2762, 267, 2681, 3069, 267, 543, 9423, 2553, 1247, 10771, 10333, 543, 13784, 269, 1635, 1620, 891, 3741, 267, 14971, 5159, 543, 9858, 666, 4739, 11617, 8903, 543, 6457, 1302, 18398, 1568, 602, 25407, 1762, 3988, 543, 3565, 9797, 547, 741, 1565, 1995, 780, 1724, 269, 273, 634, 5295, 540, 10439, 338, 538, 27884, 692, 24058, 338, 1404, 513, 2629, 1909, 538, 5935, 938, 8226, 543, 3965, 540, 1344, 630, 289, 691, 27451, 1299, 27659, 2023, 267, 476, 1220, 279, 1040, 1879, 1031, 3927, 267, 789, 666, 7520, 4514, 6278, 609, 1950, 2093, 267, 1818, 873, 811, 3015, 543, 12300, 585, 3309, 6267, 630, 295, 14873, 7315, 1696, 620, 1421, 476, 1001, 275, 1040, 769, 1880, 267, 3308, 6386, 723, 1044, 3254, 547, 3895, 7924, 1646, 1851, 1453, 676, 3246, 3255, 585, 8026, 2565, 3206, 543, 6568, 630, 303, 656, 1446, 334, 267, 476, 1220, 276, 1040, 9182, 267, 1620, 875, 547, 10244, 519, 1379, 540, 23877, 538, 9423, 568, 14063, 585, 1346, 2324, 1369, 11174, 15923, 11964, 899, 8642, 9089, 267, 14676, 267, 543, 11609, 3594, 780, 1724, 269, 274, 25043, 540, 18753, 5071, 12708, 338, 692, 20877, 545, 1374, 13315, 1896, 4295, 2609, 602, 960, 1927, 547, 6655, 6835, 998, 3308, 1797, 269, 1452, 4909, 3334, 1331, 1384, 320, 264, 20233, 719, 281, 5029, 1944, 21849, 543, 21370, 1543, 593, 513, 2985, 3340, 6297, 7156, 540, 15796, 267, 3666, 267, 12972, 267, 16133, 267, 17279, 267, 4334, 267, 543, 3043, 2230, 269, 589, 1134, 27059, 11768, 10274, 3988, 262, 4064, 12347, 2066, 3817, 267, 7393, 31824, 543, 8223, 630, 299, 573, 6202, 1696, 620, 1421, 476, 1001, 271, 6393, 321, 264, 11978, 2762, 281, 19805, 3617, 13944, 6163, 267, 7306, 267, 12035, 267, 4778, 267, 543, 19437, 5849, 1850, 1043, 543, 8353, 24312, 24886, 2010, 23293, 269, 3958, 267, 26936, 1826, 5865, 609, 3077, 22097, 2337, 3715, 3159, 543, 5639, 267, 5807, 4296, 1063, 1543, 543, 5304, 630, 289, 20780, 327, 32231, 267, 476, 1001, 277, 6393, 322, 264, 7822, 7869, 281, 4197, 2681, 6530, 543, 922, 3929, 1764, 6087, 9858, 547, 18427, 5551, 30181, 543, 6114, 269, 5047, 267, 7311, 2681, 11745, 625, 267, 24716, 267, 543, 25327, 10607, 2949, 3308, 22122, 630, 298, 816, 1299, 11709, 10557, 17703, 523, 267, 476, 1708, 272, 6393, 323, 264, 22569, 2044, 281, 29922, 5078, 11052, 1765, 31347, 26278, 267, 6537, 267, 610, 25274, 2813, 1765, 12047, 1343, 4656, 540, 2686, 22740, 8481, 267, 13513, 267, 543, 6041, 269, 4400, 7779, 23877, 849, 2154, 2930, 6791, 538, 5888, 267, 8654, 267, 5133, 267, 543, 27864, 630, 9928, 2714, 267, 476, 1001, 278, 6393, 1724, 269, 275, 570, 2454, 12267, 3414, 10439, 15881, 2510, 692, 19931, 3308, 6386, 9192, 2178, 13654, 8642, 1374, 3741, 609, 2500, 9423, 2553, 269, 6206, 2994, 1331, 1384, 320, 264, 10886, 4886, 281, 12861, 11541, 3197, 3322, 8888, 3982, 23079, 267, 14789, 267, 543, 10080, 269, 5015, 267, 5812, 18572, 2429, 513, 3126, 8992, 5467, 14017, 543, 5092, 630, 18250, 30208, 267, 476, 1960, 274, 6393, 321, 264, 14938, 1113, 3203, 281, 13419, 1005, 9696, 25401, 543, 17396, 569, 2636, 585, 5347, 13289, 1063, 8440, 610, 14604, 269, 2561, 10187, 2299, 533, 3166, 8761, 543, 18895, 706, 1186, 2226, 24457, 543, 26675, 267, 4412, 2454, 3988, 4464, 630, 292, 529, 1676, 267, 476, 1220, 279, 6393, 322, 264, 13368, 532, 543, 23531, 281, 21864, 25194, 3664, 1463, 13588, 262, 3007, 2509, 1808, 17122, 2798, 269, 22034, 8795, 8929, 7306, 267, 7285, 267, 543, 5380, 8591, 3846, 1143, 543, 3099, 547, 15885, 630, 300, 14525, 267, 476, 1001, 275, 6393, 323, 264, 2622, 20761, 281, 20472, 532, 15138, 5468, 20964, 1825, 15344, 5054, 1141, 2984, 11200, 269, 6762, 569, 2143, 1394, 323, 28979, 1683, 2796, 267, 13597, 267, 543, 11007, 630, 7468, 1550, 267, 476, 1001, 273, 6393, 324, 264, 27484, 16709, 281, 18601, 8471, 4798, 24889, 609, 3376, 9458, 267, 10489, 2056, 2085, 267, 2528, 267, 543, 1893, 7496, 269, 29110, 4221, 2390, 4143, 1514, 2152, 7512, 8086, 543, 5188, 630, 301, 601, 267, 476, 1220, 276, 6393, 1724, 269, 276, 29456, 543, 769, 12807, 538, 10439, 15881, 2510, 692, 16966, 1043, 543, 8537, 3308, 6386, 8597, 547, 3309, 3988, 4721, 676, 10893, 1761, 7496, 547, 7127, 269, 19047, 1331, 1384, 320, 264, 13068, 5678, 281, 4635, 2241, 6863, 267, 13801, 5220, 267, 543, 3551, 16105, 16881, 1620, 585, 28928, 543, 10010, 3988, 7567, 630, 13233, 7335, 19937, 267, 476, 1220, 271, 6393, 321, 264, 16816, 7956, 543, 12005, 2677, 18587, 281, 21278, 10855, 8925, 585, 3308, 1543, 5849, 3160, 1569, 585, 9420, 610, 11617, 15176, 2043, 630, 310, 274, 290, 5680, 12474, 29456, 13832, 267, 476, 1708, 272, 6393, 322, 264, 667, 5744, 23830, 281, 3493, 1112, 532, 9867, 1560, 2010, 267, 6803, 885, 267, 25469, 267, 6502, 267, 5759, 267, 543, 14227, 4567, 525, 9356, 4641, 543, 2591, 11475, 630, 299, 1168, 529, 267, 476, 1001, 280, 6393, 323, 264, 8836, 14847, 775, 281, 23227, 908, 2463, 585, 1114, 4529, 3322, 15388, 9821, 267, 12583, 267, 543, 5389, 547, 2057, 3765, 10517, 6974, 725, 610, 1202, 27383, 630, 291, 9007, 4149, 1706, 802, 1299, 29885, 267, 476, 1001, 271, 6393, 1724, 269, 277, 10390, 692, 1103, 3932, 267, 13215, 8642, 1374, 30304, 16877, 5159, 543, 9858, 547, 1711, 8903, 3308, 6386, 5827, 540, 2502, 1762, 3988, 538, 6209, 2081, 269, 1635, 14139, 3280, 13654, 1702, 267, 5499, 9423, 2553, 267, 543, 18532, 9270, 585, 10333, 543, 13784, 267, 15888, 666, 6536, 7214, 2208, 267, 11349, 6568, 267, 543, 8300, 7279, 1851, 24567, 8186, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 547, 3503, 513, 476, 1220, 271, 8862, 867, 4828, 543, 1215, 3509, 9664, 1772, 898, 888, 2791, 666, 3362, 17492, 513, 476, 1220, 271, 30087, 1557, 609, 519, 948, 540, 19208, 610, 1022, 824, 3642, 1257, 11718, 269, 898, 786, 581, 1134, 27787, 543, 18613, 1480, 1603, 282, 707, 7548, 1522, 1256, 3494, 596, 5206, 621, 269, 1717, 267, 1210, 707, 4081, 1603, 1983, 568, 513, 1732, 4781, 952, 596, 1616, 547, 1711, 606, 1557, 602, 6763, 856, 563, 5978, 4274, 2319, 6499, 547, 6542, 602, 1557, 1603, 666, 581, 11791, 543, 3078, 282, 1175, 1491, 519, 2953, 3268, 543, 946, 938, 4388, 256, 769, 713, 2376, 267, 649, 3580, 2491, 875, 547, 2328, 606, 14222, 476, 1220, 271, 30087, 1557, 538, 835, 1554, 563, 268, 9462, 497, 507, 476, 1220, 271, 6478, 4828, 454, 268, 32273, 483, 476, 1220, 271, 6478, 4828, 1107, 5153, 676, 5153, 454, 268, 9462, 497, 504, 4828, 7151, 454, 268, 32273, 491, 20804, 5675, 8871, 14186, 454, 268, 9462, 498, 492, 2859, 4828, 11762, 454, 268, 9462, 498, 501, 22108, 454, 6930, 497, 507, 1548, 6496, 513, 476, 1220, 271, 6478, 4828, 6733, 6145, 888, 2252, 596, 2461, 5432, 609, 519, 2497, 543, 11249, 4170, 267, 1603, 513, 476, 1220, 271, 30087, 1557, 1058, 581, 2653, 269, 769, 519, 1739, 3296, 267, 649, 3580, 7291, 519, 1114, 2694, 540, 513, 476, 1220, 271, 30087, 4081, 1957, 543, 2491, 875, 547, 1935, 1142, 3296, 563, 273, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 3203, 1315, 14301, 1315, 18753, 5071, 12708, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

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

[ 2999, 13892, 285, 2330, 303, 6025, 261, 2741, 282, 307, 264, 815, 1422, 8218, 26231, 1162, 348, 1422, 2765, 570, 274, 1299, 2086, 282, 570, 315, 19008, 476, 272, 267, 8607, 476, 272, 910, 1422, 2765, 476, 272, 307, 1341, 1422, 2765, 476, 272, 346, 274, 307, 317, 273, 348, 1299, 2086, 282, 570, 1422, 28254, 476, 272, 269, 1422, 754, 26231, 1162, 6525, 9572, 13892, 285, 634, 2165, 1269, 272, 20081, 259, 538, 519, 2063, 4082, 786, 2285, 596, 519, 12808, 1611, 267, 2094, 2390, 1114, 11868, 519, 595, 5263, 596, 3513, 1205, 513, 2165, 1269, 272, 20081, 317, 273, 8961, 799, 2390, 14921, 676, 1269, 307, 259, 543, 10128, 547, 1205, 519, 1611, 596, 1439, 909, 10128, 1269, 272, 20081, 259, 689, 1269, 272, 259, 547, 4399, 13727, 10608, 9572, 335, 285, 2999, 335, 285, 2026, 585, 519, 11667, 267, 621, 5654, 607, 1498, 1022, 16133, 547, 4399, 7032, 270, 273, 259, 568, 1175, 513, 2699, 1200, 2590, 267, 1317, 6061, 585, 2999, 13892, 285, 259, 303, 6025, 261, 2741, 282, 307, 264, 815, 476, 272, 270, 273, 259, 9572, 13892, 285, 11729, 1269, 307, 284, 272, 1341, 1422, 2765, 476, 272, 3189, 6912, 346, 274, 3686, 1422, 13627, 476, 272, 269, 276, 6507, 3374, 315, 25854, 10608, 9572, 335, 285, 5291, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 14625, 30444, 270, 28947, 1532, 15277, 3491, 704, 2906, 6361, 1673, 3428, 673, 7146, 268, 1120, 21288, 1606, 2448, 338, 270, 14625, 23884, 258, 14625, 23884, 8382, 676, 966, 2795, 333, 1849, 11948, 327, 15676, 585, 17583, 1063, 3601, 540, 13552, 673, 543, 8210, 326, 21288, 7010, 966, 2795, 333, 1849, 11948, 327, 15676, 476, 1001, 273, 268, 1556, 268, 2190, 307, 2420, 281, 3451, 281, 3066, 313, 476, 1001, 273, 268, 1321, 268, 6734, 307, 4905, 281, 2767, 281, 4905, 313, 2999, 335, 12481, 655, 285, 31171, 281, 594, 4312, 8242, 713, 2626, 547, 2992, 519, 5363, 8292, 1500, 676, 1656, 637, 31704, 2100, 1188, 328, 543, 27950, 24261, 27135, 655, 20565, 335, 285, 2999, 15590, 285, 2999, 335, 285, 2026, 519, 824, 4267, 5018, 267, 519, 1101, 2629, 11984, 596, 1590, 1118, 568, 602, 930, 3601, 3277, 547, 513, 2999, 17641, 285, 9008, 1670, 9572, 17641, 285, 3846, 673, 1062, 18159, 311, 267, 307, 29408, 1247, 1866, 3277, 547, 513, 2999, 17641, 285, 1889, 5501, 25535, 6326, 9572, 17641, 285, 3846, 673, 1062, 18159, 311, 267, 307, 12101, 14153, 30879, 4935, 972, 616, 1079, 1114, 5036, 540, 8847, 269, 2913, 803, 3801, 513, 17250, 693, 930, 540, 519, 3347, 1369, 1142, 1305, 27135, 335, 285, 2999, 335, 285, 5575, 15475, 596, 723, 513, 30490, 3846, 673, 1062, 18159, 311, 267, 307, 30879, 3973, 2185, 540, 519, 1883, 3601, 616, 30490, 1098, 6638, 267, 30490, 11544, 267, 6922, 1275, 267, 543, 2189, 23908, 21288, 640, 269, 634, 1101, 1614, 616, 1644, 676, 9572, 335, 285, 2999, 592, 285, 2999, 2993, 285, 9008, 10999, 11544, 4399, 23976, 259, 1283, 10999, 1098, 1438, 282, 9572, 2993, 285, 2999, 2993, 285, 2381, 2711, 4399, 23976, 259, 1283, 10999, 1098, 1438, 27135, 2993, 285, 21742, 592, 285, 2999, 335, 285, 4462, 1664, 23908, 21288, 640, 568, 4830, 540, 1346, 1614, 3601, 269, 634, 4605, 568, 519, 1739, 269, 21742, 335, 285, 2999, 335, 12481, 19112, 521, 21683, 6889, 10674, 2517, 4178, 269, 4118, 269, 7795, 12975, 270, 349, 743, 11948, 3873, 9706, 923, 270, 9008, 1670, 3491, 704, 2906, 26666, 257, 5621, 6889, 9824, 725, 4721, 1063, 30490, 3601, 257, 20565, 335, 285, 2999, 335, 285, 15575, 699, 343, 3263, 2999, 17641, 285, 272, 268, 280, 9572, 17641, 285, 20515, 519, 7453, 2270, 906, 616, 607, 5205, 269, 2999, 655, 285, 263, 4322, 949, 711, 581, 519, 14724, 610, 519, 9998, 1293, 699, 343, 3263, 538, 1142, 2013, 267, 543, 594, 10950, 28303, 610, 9283, 269, 901, 568, 1759, 593, 930, 2656, 979, 690, 1782, 585, 1919, 711, 2907, 538, 1250, 3965, 267, 7132, 519, 5363, 23937, 6035, 676, 6085, 619, 4700, 9572, 655, 20565, 335, 285, 2999, 335, 12481, 17641, 285, 272, 27135, 17641, 285, 1269, 311, 815, 1422, 306, 7950, 318, 273, 1422, 9392, 1422, 346, 320, 14720, 315, 20954, 519, 1463, 1587, 540, 513, 2407, 1079, 6879, 3424, 609, 513, 1974, 26690, 10739, 267, 1141, 519, 6384, 568, 4399, 18406, 24585, 590, 8961, 609, 4399, 18406, 259, 519, 6521, 4786, 543, 1269, 306, 259, 519, 4786, 954, 577, 4474, 1269, 320, 259, 543, 1269, 321, 10608, 9572, 335, 285, 2999, 335, 12481, 17641, 285, 273, 27135, 17641, 285, 1269, 311, 7807, 306, 7950, 318, 273, 10608, 9572, 335, 285, 2999, 335, 12481, 17641, 285, 274, 27135, 17641, 285, 20472, 539, 676, 30464, 600, 674, 599, 611, 267, 2999, 320, 27430, 6889, 10674, 2517, 4178, 4732, 1440, 5424, 15062, 2593, 270, 20880, 8276, 336, 279, 3451, 6872, 277, 23417, 2568, 279, 4037, 270, 257, 882, 6889, 333, 1993, 4772, 22969, 12749, 10999, 11544, 543, 8766, 855, 711, 23908, 21288, 267, 25107, 7004, 593, 4399, 13992, 346, 307, 11892, 276, 259, 9572, 320, 285, 267, 476, 1220, 271, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 275, 27135, 17641, 285, 20472, 539, 676, 674, 584, 22978, 6199, 267, 2999, 320, 27430, 6889, 10674, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 26801, 29579, 280, 257, 882, 6889, 333, 1993, 4772, 22969, 1805, 2774, 23908, 21288, 640, 543, 7004, 540, 519, 8731, 639, 9572, 320, 285, 267, 476, 3422, 272, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 276, 27135, 17641, 285, 1323, 19450, 2095, 593, 519, 8731, 639, 267, 30281, 1524, 2282, 513, 2582, 1448, 281, 1294, 519, 6085, 2630, 676, 1656, 637, 31704, 2100, 1188, 328, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 277, 27135, 17641, 285, 1306, 27950, 24261, 2798, 856, 538, 519, 8292, 267, 519, 3961, 4786, 593, 513, 2582, 2023, 1305, 1568, 1934, 269, 589, 1447, 24735, 1383, 729, 2016, 676, 20913, 22642, 523, 267, 2999, 320, 27430, 6889, 10674, 2517, 4178, 269, 4461, 3820, 10768, 712, 11594, 14121, 3757, 270, 3192, 271, 268, 16825, 268, 6349, 13478, 1822, 273, 268, 4200, 275, 278, 268, 3192, 271, 268, 28276, 280, 6434, 275, 268, 279, 10774, 727, 11258, 257, 882, 6889, 333, 1993, 4772, 22969, 288, 1283, 10999, 9244, 11544, 12572, 8766, 1305, 9572, 320, 285, 267, 476, 3192, 271, 269, 21742, 335, 285, 2999, 335, 12481, 17641, 285, 278, 27135, 17641, 285, 15585, 566, 540, 519, 5858, 676, 606, 19450, 5086, 27135, 335, 285, 2999, 335, 12481, 17641, 285, 279, 27135, 17641, 285, 6034, 1587, 540, 519, 1383, 689, 2999, 17641, 285, 276, 9572, 17641, 285, 609, 513, 13350, 10739, 269, 630, 26139, 607, 6700, 676, 1656, 637, 538, 519, 8292, 4700, 9572, 335, 285, 2999, 335, 12481, 17641, 285, 280, 27135, 17641, 285, 3345, 1606, 1926, 4786, 281, 513, 4786, 1269, 307, 315, 3712, 517, 1496, 271, 267, 272, 316, 315, 1729, 1496, 271, 267, 272, 316, 259, 609, 6378, 2798, 693, 1269, 271, 267, 272, 259, 543, 971, 602, 1269, 307, 3287, 264, 1299, 2741, 282, 1535, 259, 585, 782, 1269, 343, 22174, 630, 271, 267, 272, 30879, 10576, 519, 1439, 9557, 1269, 271, 259, 543, 1269, 272, 259, 865, 602, 713, 568, 513, 19918, 23908, 21288, 5858, 4786, 27135, 335, 285, 2999, 335, 285, 288, 7008, 1919, 616, 4440, 4502, 15738, 856, 27135, 335, 285, 2999, 592, 285, 2999, 2993, 285, 28350, 11659, 568, 711, 2141, 7833, 269, 1280, 1383, 835, 540, 519, 4574, 594, 26518, 630, 296, 1589, 22642, 523, 781, 264, 3096, 834, 1120, 21288, 257, 538, 1747, 540, 834, 9008, 10999, 1098, 1438, 2580, 547, 5031, 519, 21658, 609, 519, 2268, 25535, 6326, 2013, 269, 1924, 1004, 949, 3006, 946, 1114, 1913, 585, 519, 1482, 3364, 27135, 2993, 285, 2999, 2993, 285, 3519, 14287, 519, 1482, 2262, 949, 1611, 1114, 1919, 269, 1703, 616, 1079, 8847, 540, 30490, 1098, 6638, 267, 835, 5473, 1930, 5036, 18121, 325, 18898, 263, 308, 264, 1422, 5115, 966, 1422, 928, 336, 1422, 3319, 903, 564, 259, 585, 930, 1804, 1269, 333, 259, 264, 543, 519, 824, 5473, 6228, 540, 513, 10053, 10739, 269, 634, 4214, 5473, 1930, 5036, 811, 5702, 19141, 519, 4214, 540, 30490, 11544, 630, 12061, 268, 24105, 10167, 585, 2999, 17641, 285, 22336, 9572, 17641, 285, 1804, 1269, 333, 259, 1070, 1247, 519, 4214, 609, 513, 10053, 10739, 811, 5702, 19141, 6922, 1275, 630, 323, 839, 8864, 540, 2999, 17641, 285, 22336, 9572, 17641, 285, 10739, 1040, 634, 8847, 616, 6697, 952, 1269, 311, 259, 568, 3021, 762, 267, 2034, 7121, 267, 543, 814, 1100, 9678, 2798, 27135, 2993, 285, 21742, 592, 285, 2999, 335, 285, 5472, 540, 519, 1657, 568, 585, 30490, 3846, 673, 1949, 267, 1141, 1100, 23223, 656, 2268, 568, 9138, 269, 3973, 972, 616, 519, 23908, 21288, 3601, 281, 1346, 602, 4096, 593, 513, 1062, 8497, 606, 2268, 4399, 14153, 10608, 1280, 891, 835, 814, 519, 23908, 21288, 15796, 27135, 335, 285, 2999, 335, 12481, 19112, 521, 21683, 6889, 10674, 2517, 4178, 269, 4118, 269, 7795, 12975, 270, 349, 743, 11948, 3873, 9706, 923, 270, 1120, 21288, 3491, 704, 2906, 26666, 257, 5621, 6889, 11293, 326, 21288, 15796, 257, 20565, 335, 285, 2999, 335, 285, 2005, 568, 1360, 1419, 519, 2013, 602, 835, 16858, 547, 1353, 513, 30490, 3846, 673, 1062, 607, 513, 2268, 25535, 6326, 1062, 676, 30015, 621, 609, 606, 23223, 656, 2268, 267, 543, 538, 713, 2013, 621, 568, 3833, 10257, 547, 2307, 827, 519, 3347, 1063, 519, 1079, 1114, 5049, 540, 3601, 269, 1809, 713, 5673, 593, 799, 23223, 656, 2268, 596, 3442, 267, 1317, 538, 2489, 2999, 320, 27430, 6889, 10674, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 279, 4375, 10037, 270, 8588, 1145, 6361, 1606, 10628, 6361, 268, 1120, 21288, 24578, 9778, 257, 882, 6889, 333, 1993, 4772, 22969, 11004, 949, 581, 1360, 1082, 540, 873, 9572, 320, 20101, 2290, 949, 2307, 1018, 3601, 540, 18159, 311, 267, 307, 7751, 1577, 596, 4584, 23223, 656, 3800, 4399, 14153, 259, 609, 1978, 8799, 3601, 267, 543, 713, 568, 513, 2898, 1114, 1650, 799, 1131, 4228, 713, 2626, 2484, 3564, 519, 23451, 540, 16885, 1214, 27135, 335, 285, 5291, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 14625, 6344, 270, 11666, 6681, 15304, 3772, 268, 1120, 21288, 7308, 648, 332, 270, 14625, 12553, 258, 14625, 12553, 8382, 676, 966, 2795, 333, 1849, 11948, 327, 15676, 585, 23120, 1448, 3772, 23908, 21288, 11532, 286, 966, 2795, 333, 1849, 11948, 327, 15676, 476, 1001, 273, 268, 1556, 268, 2420, 307, 4905, 281, 6795, 281, 3374, 313, 476, 1001, 273, 268, 1556, 268, 2420, 307, 4905, 281, 6795, 281, 3374, 313, 2999, 335, 285, 763, 2626, 547, 1312, 2055, 568, 1412, 7224, 3299, 1312, 585, 7851, 543, 585, 8928, 27135, 335, 285, 2999, 335, 285, 2690, 598, 920, 28467, 1577, 2999, 13892, 285, 259, 300, 7807, 346, 271, 267, 272, 315, 11892, 315, 13992, 346, 313, 4151, 9572, 13892, 285, 581, 519, 1305, 540, 1979, 19899, 9548, 9696, 540, 1269, 271, 259, 338, 543, 1269, 272, 259, 338, 267, 543, 1577, 4399, 4942, 328, 315, 3712, 517, 631, 29540, 631, 259, 581, 519, 6521, 4786, 2016, 676, 2999, 13892, 285, 7445, 4942, 328, 3287, 264, 318, 329, 815, 1535, 3709, 329, 266, 272, 4151, 9572, 13892, 285, 585, 2999, 13892, 285, 259, 343, 14352, 343, 19553, 264, 3709, 329, 22174, 315, 13992, 346, 313, 22288, 9572, 13892, 20101, 9572, 335, 285, 2999, 335, 285, 304, 272, 269, 5440, 1670, 1098, 6638, 540, 4399, 4942, 328, 259, 1152, 5673, 593, 4399, 4942, 328, 259, 543, 1269, 300, 8961, 711, 593, 519, 2268, 4399, 14153, 10608, 769, 1880, 519, 1062, 18159, 300, 12101, 4942, 328, 7751, 3989, 1657, 568, 1283, 10999, 1098, 1438, 267, 855, 972, 616, 1082, 630, 28236, 14386, 2834, 645, 648, 331, 5506, 3800, 602, 616, 12873, 676, 4399, 4942, 328, 8961, 543, 711, 782, 540, 873, 616, 23908, 21288, 269, 6423, 2999, 320, 27430, 6889, 10674, 2517, 4118, 1478, 6503, 14492, 270, 638, 5465, 270, 279, 4375, 10037, 270, 8588, 1145, 6361, 1606, 10628, 6361, 268, 1120, 21288, 24578, 9778, 257, 882, 6889, 333, 1993, 4772, 22969, 10472, 2243, 9572, 320, 285, 585, 930, 4901, 540, 875, 6946, 713, 2230, 568, 269, 769, 1880, 267, 1577, 1269, 335, 259, 543, 1269, 336, 259, 581, 6378, 2798, 585, 4399, 4942, 328, 8961, 543, 1577, 4399, 14153, 259 ]

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

[ 8307, 5601, 666, 4688, 9358, 1631, 1848, 594, 1767, 267, 543, 646, 1332, 1194, 693, 803, 269, 3973, 594, 15422, 519, 8988, 3444, 1472, 1250, 8405, 269, 594, 678, 5792, 621, 1055, 543, 4371, 621, 547, 1010, 3068, 269, 3973, 646, 3458, 3139, 538, 1928, 607, 646, 9927, 883, 513, 1480, 269, 594, 1793, 14414, 1250, 18156, 543, 7166, 1864, 14678, 269, 594, 1572, 661, 31343, 517, 2135, 1055, 540, 1864, 269, 3973, 609, 513, 12837, 593, 1250, 3068, 267, 594, 13603, 909, 1010, 1560, 543, 12628, 621, 883, 519, 23419, 563, 3412, 15673, 539, 547, 4945, 593, 5769, 5182, 855, 621, 1522, 1205, 803, 1055, 519, 5769 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2298, 1256, 609, 2834, 5957, 563, 268, 4053, 4802, 281, 2755, 1447, 4122, 1031, 585, 7802, 267, 1660, 4802, 5958, 3091, 513, 2189, 9029, 538, 713, 6389, 269, 4706, 2571, 543, 9543, 9403, 2306, 621, 513, 15028, 3903, 585, 4816, 7802, 543, 17426, 4832, 30933, 269, 1717, 267, 519, 10690, 15827, 1522, 1118, 621, 1447, 5078, 585, 11295, 610, 8185, 1031, 7802, 3688, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 17234, 2709, 7362, 1464, 267, 3850, 2011, 547, 32694, 998, 519, 5958, 269, 2755, 711, 607, 2011, 344, 607, 1660, 4802, 267, 829, 7051, 1869, 2488, 4313, 676, 7303, 519, 13250, 540, 3002, 543, 7509, 269, 901, 7362, 1464, 568, 1898, 585, 4509, 4313, 267, 2523, 1282, 15911, 12405, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 12021, 585, 922, 11108, 7362, 1464, 269, 634, 10690, 15827, 540, 1660, 4802, 2636, 2011, 547, 2095, 11884, 998, 519, 5958, 267, 1818, 621, 606, 4998, 3903, 585, 3636, 16374, 543, 17426, 3156, 269, 4053, 4802, 779, 7362, 1464, 8309, 547, 513, 6899, 543, 16990, 1995, 585, 519, 649, 13145, 563, 268, 29158, 623, 2075, 1446, 281, 634, 7362, 1464, 540, 829, 7051, 5958, 8309, 547, 513, 9023, 1198, 267, 3226, 538, 15911, 4365, 269, 634, 5958, 779, 2702, 547, 1450, 3002, 547, 26632, 622, 5849, 602, 2043, 2611, 6899, 543, 17570, 6954, 1256, 538, 28555, 2175, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 3217, 3579, 1145, 547, 519, 1985, 1377, 269, 4706, 1930, 15827, 2636, 585, 6099, 14910, 267, 5356, 513, 9023, 14815, 602, 568, 3226, 14909, 538, 3905, 543, 18519, 16374, 269, 4053, 4802, 779, 3579, 1145, 2306, 621, 513, 8179, 8584, 1123, 3903, 585, 4832, 7802, 543, 17426, 28945, 563, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 568, 12021, 585, 922, 29413, 1745, 269, 634, 17401, 18955, 16060, 1711, 513, 5347, 543, 26546, 9403, 602, 608, 26360, 30483, 269, 634, 5958, 779, 1319, 974, 9096, 543, 11029, 1352, 523, 3565, 547, 922, 1164, 15134, 5920, 267, 1818, 621, 606, 10694, 3903, 585, 28945, 543, 7802, 563, 268, 4053, 4802, 281, 2755, 1660, 4802, 5958, 1522, 3668, 519, 15568, 9403, 540, 829, 7051, 267, 621, 3091, 513, 1114, 1826, 540, 17195, 269, 4053, 4802, 779, 2067, 267, 10002, 565, 1639, 5920, 2488, 513, 17159, 543, 6899, 1745, 602, 930, 2043, 1265, 8449, 13267, 269, 4706, 16134, 543, 2571, 1145, 18427, 513, 2631, 540, 896, 26061, 17195, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 568, 1447, 4122, 1031, 585, 4816, 3688, 1813, 547, 922, 16437, 518, 9403, 269, 2755, 621, 1522, 711, 581, 519, 1283, 3903, 585, 4816, 7802, 543, 17960, 267, 829, 7051, 666, 1869, 1265, 922, 1747, 538, 28945, 3688, 899, 524, 1026, 9212, 267, 5356, 15006, 543, 2571, 1145, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 31438, 538, 519, 7706, 540, 4816, 3688, 269, 4706, 2571, 1145, 267, 7362, 1464, 267, 543, 9543, 5905, 1118, 621, 606, 5140, 3903, 585, 4816, 29198, 267, 2220, 18150, 12308, 338, 267, 543, 7802, 269, 4053, 4802, 779, 2702, 547, 10038, 2837, 5849, 602, 9002, 3251, 6899, 267, 1818, 621, 513, 20013, 538, 5740, 7685, 563, 268, 29158, 623, 2075, 1446, 281, 2755, 711, 607, 4122, 1031, 585, 13167, 267, 829, 7051, 5958, 666, 1869, 1265, 922, 1747, 538, 1978, 3785, 269, 4706, 9395, 15827, 543, 15006, 1118, 621, 5078, 585, 2870, 3688, 602, 2154, 2497, 543, 15325, 269, 1717, 267, 519, 16437, 8864, 540, 829, 7051, 1522, 3970, 922, 8112, 538, 1978, 4739, 3156, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 513, 23163, 3903, 585, 13167, 1813, 547, 922, 17426, 543, 11684, 2470, 269, 4706, 10690, 15827, 561, 1742, 3294, 1134, 547, 3785, 602, 2154, 546, 1905, 532, 267, 971, 607, 1225, 13935, 267, 546, 1905, 525, 267, 543, 3349, 743, 16251, 269, 4053, 4802, 779, 2571, 9403, 849, 2306, 621, 5078, 585, 22927, 3785, 602, 4225, 4313, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 568, 3622, 1447, 12001, 1813, 547, 922, 10053, 15827, 269, 901, 1566, 13369, 2306, 621, 5078, 585, 3688, 602, 2154, 513, 4110, 540, 7834, 267, 971, 607, 1225, 13935, 543, 6885, 3382, 902, 269, 634, 9395, 15827, 849, 8309, 547, 513, 23704, 5920, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 814, 513, 5594, 22406, 2298, 1813, 547, 922, 10690, 15827, 269, 2755, 713, 1522, 3970, 922, 946, 538, 1978, 3156, 267, 621, 666, 1039, 606, 552, 1492, 9418, 543, 10347, 5905, 547, 13167, 3785, 899, 17426, 1225, 13935, 610, 23157, 602, 1289, 585, 513, 811, 6037, 1075, 550, 1413, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 11148, 547, 581, 18219, 1813, 547, 922, 5702, 18955, 16060, 269, 901, 2597, 666, 22937, 513, 2631, 540, 6219, 543, 15006, 547, 18705, 3688, 267, 1818, 621, 5078, 585, 3785, 602, 2154, 18569, 1465, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 16113, 14402, 538, 2597, 1813, 547, 922, 10690, 15827, 269, 901, 17426, 2298, 2306, 621, 1134, 25252, 1243, 585, 3785, 602, 3747, 513, 10347, 5905, 610, 2154, 3688, 547, 581, 3362, 3560, 762, 267, 971, 607, 17426, 1753, 7718, 610, 17960, 563, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 5958, 3091, 513, 1319, 974, 9096, 609, 513, 11029, 1352, 523, 269, 901, 8984, 8309, 547, 513, 15568, 543, 10427, 5920, 267, 1818, 621, 606, 5140, 3903, 585, 3785, 602, 3343, 606, 896, 26061, 25894, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 849, 2488, 513, 1319, 974, 9096, 267, 855, 922, 5920, 568, 811, 2067, 543, 10002, 565, 1639, 269, 901, 561, 1742, 513, 17159, 543, 3839, 12716, 547, 18705, 3688, 267, 1818, 621, 5078, 585, 3785, 602, 4225, 513, 9788, 25746, 19259, 563, 17806, 675, 3683, 5384, 454, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 779, 9403, 11148, 547, 21352, 543, 1831, 1256, 811, 6899, 609, 942, 543, 946, 269, 901, 666, 3986, 519, 2949, 4313, 540, 18705, 3688, 971, 607, 28945, 543, 7802, 267, 4180, 602, 789, 1831, 1256, 811, 11791, 936, 519, 1296, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 15387, 922, 2571, 1145, 936, 942, 855, 949, 5957, 856, 5488, 1813, 547, 922, 3138, 29141, 15827, 269, 2755, 519, 9403, 1522, 711, 1689, 13497, 609, 946, 267, 519, 5958, 779, 7362, 1464, 543, 4313, 2611, 5812, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 20502, 17545, 538, 922, 2702, 547, 9290, 1585, 3156, 269, 4706, 10053, 15827, 543, 15006, 1118, 621, 22537, 585, 1312, 28945, 543, 7802, 269, 634, 5958, 779, 5347, 9403, 543, 15568, 5920, 849, 1118, 621, 4998, 585, 3785, 602, 2154, 513, 5905, 540, 30483, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 11684, 538, 922, 1378, 1318, 267, 4597, 532, 538, 17426, 3156, 543, 3636, 16374, 269, 4706, 10690, 15827, 543, 7362, 762, 2470, 1118, 621, 5078, 585, 4816, 3688, 267, 4832, 7802, 267, 543, 13167, 3785, 602, 4225, 4313, 543, 7362, 1464, 563, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 17234, 1419, 2097, 693, 513, 2362, 1942, 1813, 547, 741, 512, 7660, 15827, 543, 3622, 2362, 8142, 1293, 269, 634, 3773, 15006, 543, 29413, 1745, 3565, 547, 519, 11506, 3902, 1448, 267, 1818, 829, 7051, 513, 3903, 585, 1346, 8348, 547, 1902, 538, 2298, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 3622, 811, 10097, 1813, 547, 922, 16134, 543, 2539, 8142, 1293, 269, 901, 2306, 621, 606, 3015, 3903, 585, 1585, 3785, 267, 2523, 585, 1346, 5275, 1942, 15807, 3681, 1510, 18731, 593, 7362, 1464, 543, 4313, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 568, 1447, 4122, 1031, 607, 513, 20457, 538, 10344, 543, 14364, 269, 4706, 5347, 9403, 543, 1319, 974, 9096, 1522, 711, 1683, 519, 5551, 3308, 20457, 1198, 267, 12145, 922, 3498, 538, 713, 1808, 6389, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 23163, 585, 20457, 946, 1813, 547, 922, 9243, 2681, 543, 9403, 269, 634, 5594, 22406, 5920, 543, 17426, 2470, 540, 1660, 4802, 1118, 621, 5078, 585, 2870, 11684, 1394, 323, 28979, 602, 666, 3986, 519, 2949, 5605, 4800, 540, 513, 6429, 610, 4259, 563, 8624, 832, 543, 2398, 6493, 454, 268, 29158, 623, 2075, 1446, 281, 29158, 829, 7051, 779, 9395, 15827, 2636, 585, 513, 2647, 2039, 540, 4778, 543, 6946, 16493, 269, 634, 5958, 6585, 4778, 1134, 543, 2488, 513, 26546, 17198, 585, 7524, 543, 2143, 6272, 267, 1818, 621, 513, 1390, 3903, 585, 4806, 539, 28945, 543, 7802, 563, 268, 4053, 4802, 281, 4053, 4802, 779, 10690, 15827, 666, 3970, 519, 15287, 543, 8325, 1145, 540, 6946, 16493, 269, 1717, 267, 922, 2067, 267, 10002, 565, 1639, 9403, 561, 1742, 3294, 1134, 547, 811, 5214, 267, 11029, 3270, 543, 20004, 2553, 269, 4053, 4802, 779, 9403, 8591, 3178, 547, 12863, 6272, 543, 3947, 513, 15309, 545, 19259, 547, 519, 8737, 1587, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 949, 2154, 811, 5826, 547, 1832, 922, 26546, 5920, 269, 898, 568, 12155, 547, 23743, 1782, 267, 543, 1247, 930, 4782, 922, 5594, 15555, 9482, 1413, 267, 1866, 949, 3442, 547, 4401, 610, 9252, 621, 585, 513, 5347, 9096, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 1447, 2693, 547, 23743, 548, 1813, 547, 922, 10690, 15827, 543, 17426, 2470, 269, 898, 779, 1634, 585, 922, 13680, 267, 17159, 5920, 267, 543, 922, 4187, 547, 32060, 2306, 621, 513, 4052, 3903, 585, 3785, 602, 3747, 1447, 909, 18141, 563, 268, 29158, 623, 2075, 1446, 281, 623, 2075, 1446, 5958, 267, 609, 922, 9395, 15827, 267, 568, 1447, 2693, 547, 2014, 13027, 6547, 269, 634, 5702, 18955, 16060, 2061, 519, 13250, 540, 7452, 21746, 543, 824, 23480, 267, 1818, 621, 513, 5078, 3903, 585, 2043, 609, 22740, 8481, 563, 268, 4053, 4802, 281, 4053, 4802, 5958, 568, 3622, 2922, 585, 6213, 2960, 543, 1447, 2693, 547, 2014, 13027, 6547, 269, 901, 2306, 621, 513, 9053, 3903, 585, 4816, 3688, 267, 1519, 2220, 18150, 12308, 338, 543, 29198, 267, 607, 1134, 607, 585, 1346, 945, 723, 11959, 610, 22740, 8481, 563, 290, 9051, 623, 2075, 1446, 25966, 4053, 4802, 281, 18948, 7305, 454, 347, 2171, 1511, 1475, 291, 1619, 267, 5702, 18955, 609, 513, 5347, 543, 26546, 9403, 13954, 23409, 7076, 267, 10690, 15827, 609, 513, 2571, 543, 7362, 762, 1745, 8198, 347, 17806, 675, 1475, 10712, 26743, 543, 29413, 13954, 25413, 543, 5594, 22406, 8198, 347, 1320, 1348, 4032, 1475, 23744, 814, 513, 2362, 8142, 1293, 267, 7700, 547, 15006, 543, 2571, 1145, 13954, 1320, 1348, 1293, 949, 4268, 267, 1419, 2539, 982, 829, 7051, 8198, 25238, 13701, 1475, 5415, 14463, 543, 11259, 547, 5957, 543, 15237, 13954, 27832, 14463, 1813, 547, 519, 3138, 29141, 15827, 8198, 347, 8196, 538, 16170, 3429, 1475, 28082, 3903, 585, 9212, 543, 10788, 578, 322, 1162, 13954, 27832, 1455, 585, 2757, 28945, 267, 855, 1031, 538, 4816, 3688, 8198, 347, 5141, 5847, 1475, 5825, 539, 585, 17426, 4832, 7802, 899, 32293, 543, 695, 16630, 13954, 27832, 4122, 1031, 585, 7802, 8198, 21270, 805, 327, 1464, 1475, 289, 805, 327, 762, 267, 855, 711, 607, 2011, 344, 607, 1660, 4802, 13954, 11947, 569, 7362, 762, 267, 5078, 585, 3636, 16374, 8198, 18871, 944, 1145, 1475, 17809, 1938, 513, 9023, 14815, 267, 2523, 538, 3636, 4365, 13954, 11390, 10134, 519, 649, 13145, 3579, 1813, 547, 922, 1930, 15827, 8198, 30054, 5060, 1722, 18461, 1475, 15447, 333, 585, 922, 29413, 543, 5347, 9403, 13954, 19423, 619, 513, 811, 2067, 543, 17159, 1745, 8198, 21270, 17879, 27294, 1475, 27832, 1455, 585, 4816, 3688, 1813, 547, 922, 16437, 518, 9403, 13954, 28082, 3903, 585, 4816, 29198, 543, 2220, 18150, 12308, 338, 8198, 18871, 2761, 532, 1475, 8253, 4122, 1031, 585, 17426, 13492, 13954, 27269, 1031, 538, 13167, 17426, 1753, 7718, 8198, 347, 28926, 13369, 1475, 23744, 32630, 1813, 547, 519, 9395, 15827, 13954, 306, 2775, 569, 22406, 1813, 547, 519, 10690, 15827, 8198, 347, 26574, 1475, 3891, 32667, 1813, 547, 519, 16437, 518, 15827, 13954, 299, 7660, 538, 2597, 1813, 547, 922, 10690, 15827, 8198, 347, 12385, 974, 5685, 880, 1475, 19423, 619, 513, 1319, 974, 9096, 609, 513, 11029, 1352, 523, 13954, 31549, 513, 811, 2067, 267, 10002, 565, 1639, 5920, 8198, 347, 17806, 675, 3683, 5384, 1475, 25413, 839, 543, 3587, 1256, 811, 6899, 609, 946, 13954, 14611, 13935, 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 ]

[ 268, 834, 20288, 591, 2549, 828, 2668, 2817, 19964, 540, 5245, 269, 5437, 476, 278, 267, 476, 1001, 274, 269, 8158, 2904, 476, 2641, 267, 476, 1001, 278, 563, 268, 5240, 15553, 267, 645, 10165, 543, 22210, 539, 538, 1855, 327, 3757, 267, 5239, 476, 1960, 276, 267, 2985, 476, 4343, 563, 268, 10127, 565, 1938, 1696, 620, 1421, 6032, 269, 476, 6872, 1700, 10170, 454, 268, 834, 24465, 1533, 536, 753, 19413, 1433, 1310, 8039, 20726, 693, 14447, 2078, 2668, 634, 26851, 269, 5507, 269, 4728, 476, 1789, 267, 476, 1001, 272, 563, 268, 10127, 565, 1938, 1696, 620, 1421, 6032, 269, 476, 10170, 1700, 4281, 454, 268, 23105, 4964, 630, 20826, 476, 1015, 267, 476, 1220, 280, 1040, 834, 305, 17892, 2306, 717, 592, 698, 1686, 2668, 634, 11785, 31248, 269, 12590, 269, 8158, 5437, 476, 1691, 267, 476, 1220, 280, 563, 268, 8055, 267, 1196, 269, 7638, 640, 630, 1220, 271, 1040, 19270, 1047, 22605, 540, 5824, 1977, 3332, 269, 5507, 1496, 340, 18502, 269, 13912, 31351, 9799, 269, 533, 269, 476, 6434, 269, 9768, 476, 7818, 268, 272, 268, 6872, 280, 268, 6812, 273, 7367, 268, 275, 269, 5425, 272, 1292, 339, 281, 3063, 1257, 281, 4589, 1592, 630, 15062, 994, 268, 1488, 341, 785, 30730, 2725, 327, 8527, 571, 267, 589, 3778, 540, 4095, 9085, 538, 2296, 269, 595, 269, 15049, 560, 1299, 3213, 269, 23255, 267, 476, 1220, 274, 269, 9768, 476, 7818, 6977, 271, 4792, 6924, 272, 275, 630, 335, 269, 16928, 994, 268, 834, 20806, 1263, 539, 7734, 543, 7395, 16383, 5903, 257, 630, 14457, 1040, 15213, 547, 3367, 269, 5130, 476, 1001, 274, 269, 8158, 5130, 476, 279, 267, 476, 1001, 277, 563, 268, 3557, 781, 1101, 17049, 1433, 547, 581, 3370, 585, 1101, 942, 538, 476, 3199, 1296, 9721, 8648, 267, 476, 1001, 279, 268, 5400, 268, 1015, 563, 268, 681, 2378, 6130, 744, 322, 553, 1470, 267, 9085, 540, 5824, 3013, 267, 5682, 6229, 14539, 6828, 267, 476, 1220, 275, 269, 9768, 476, 31648, 28590, 9826, 273, 630, 335, 269, 15094, 1916, 268, 5291, 2517, 4178, 269, 1993, 331, 322, 10993, 28898, 270, 4178, 11305, 984, 11721, 785, 269, 985, 325, 7933, 5952, 274, 325, 275, 3066, 9536, 271, 4343, 2801, 272, 8619, 27038, 6795, 321, 1822, 28307, 278, 322, 270, 2004, 278, 2465, 278, 325, 17433, 10602, 322, 10170, 325, 8619, 27038, 6858, 272, 23669, 321, 272, 324, 4281, 256, 15411, 291, 17805, 269, 8158, 5412, 476, 866, 267, 476, 1220, 280, 269, 31932, 610, 8900, 454, 268, 19032, 5623, 8274, 269, 5623, 5870, 281, 5988, 476, 278, 267, 476, 1220, 278, 282, 17423, 5870, 281, 5988, 476, 2190, 267, 476, 1220, 278, 269, 8241, 6554, 454, 268, 2098, 7238, 2401, 267, 2098, 7238, 2401, 630, 1001, 279, 1040, 31123, 6737, 2913, 30786, 281, 476, 274, 23263, 533, 27591, 1496, 299, 984, 6737, 6183, 622, 476, 274, 23263, 1900, 316, 630, 514, 14082, 1040, 5696, 553, 6403, 20377, 281, 22105, 9461, 15503, 320, 269, 9768, 476, 7818, 279, 4649, 23283, 271, 3374, 277, 563, 268, 21546, 267, 9291, 282, 27211, 20717, 576, 22642, 630, 1220, 277, 1040, 1215, 331, 593, 4693, 281, 519, 6370, 585, 1863, 4082, 269, 5842, 12770, 281, 4975, 28691, 7734, 269, 6032, 269, 476, 273, 1700, 274, 269, 9768, 476, 7818, 268, 271, 268, 279, 7761, 10436, 268, 5325, 280, 268, 276, 563, 268, 834, 292, 761, 516, 534, 12080, 540, 6176, 267, 661, 761, 516, 534, 5240, 543, 12700, 2668, 476, 1001, 276, 269, 8158, 4989, 476, 280, 267, 476, 1001, 276, 563, 268, 23108, 1407, 267, 27211, 630, 19751, 476, 1691, 267, 476, 1001, 276, 1040, 834, 289, 534, 24850, 593, 1715, 10215, 1762, 2937, 3209, 883, 519, 5211, 2668, 634, 26851, 269, 8158, 5239, 476, 1428, 267, 476, 1001, 276, 563, 268, 3883, 593, 5771, 17049, 267, 2278, 781, 2777, 986, 3660, 538, 29180, 1107, 5900, 2931, 1923, 554, 8114, 329, 698, 337, 583, 328, 3820, 269, 5616, 2593, 269, 8158, 593, 476, 1001, 271, 268, 4962, 268, 6021, 563, 268, 595, 6020, 300, 2562, 3201, 6673, 12195, 2975, 9569, 12971, 269, 16318, 272, 5508, 476, 1220, 278, 21444, 4989, 476, 1789, 267, 476, 1001, 274, 267, 693, 519, 10158, 3724, 10724, 269, 634, 4400, 7040, 540, 7225, 545, 1155, 693, 25512, 599, 454, 268, 19811, 267, 19162, 630, 20826, 476, 2537, 267, 476, 1220, 280, 1040, 834, 22492, 4229, 17199, 781, 1433, 3123, 7088, 538, 16862, 2668, 5507, 281, 1855, 25393, 16691, 16896, 269, 8158, 5181, 476, 2190, 267, 476, 1220, 280, 563, 268, 834, 19328, 1533, 536, 753, 1433, 593, 808, 4883, 1695, 2668, 18917, 269, 4864, 476, 736, 267, 476, 1220, 280, 269, 8158, 4864, 476, 736, 267, 476, 1220, 280, 563, 268, 808, 553, 342, 656, 781, 1433, 10301, 8637, 538, 30899, 520, 1310, 5480, 1931, 269, 715, 19049, 341, 2593, 269, 8158, 593, 476, 1001, 271, 268, 4962, 268, 6021, 563, 268, 834, 310, 565, 13630, 781, 808, 4883, 1695, 2668, 9031, 9332, 269, 5181, 476, 1556, 267, 476, 1220, 278, 269, 8158, 4864, 476, 2420, 267, 476, 1220, 280, 563, 268, 834, 301, 611, 710, 717, 867, 25534, 2668, 3162, 3979, 3778, 6732, 269, 8158, 5437, 476, 1626, 267, 476, 1220, 280, 563, 268, 3162, 3979, 6554, 6732, 630, 19688, 476, 866, 267, 476, 1220, 272, 1040, 834, 2026, 7356, 8292, 593, 717, 2246, 1263, 1319, 878, 1637, 1305, 1568, 2668, 4325, 16696, 543, 32276, 269, 12080, 540, 4065, 269, 21444, 689, 519, 3312, 593, 4873, 476, 3066, 267, 476, 1001, 272, 269, 8158, 5437, 476, 1626, 267, 476, 1220, 280, 563, 268, 645, 10165, 7734, 476, 1001, 272, 21444, 5437, 476, 274, 267, 476, 1001, 272, 267, 693, 519, 10158, 3724, 10724, 269, 17049, 268, 9248, 3820, 16896, 454, 268, 2782, 4459, 5025, 2716, 6387, 267, 6276, 630, 21938, 476, 277, 267, 476, 1220, 277, 1040, 17289, 645, 1513, 1133, 643, 269, 19534, 269, 23171, 11545, 5240, 563, 268, 7581, 1633, 267, 3627, 282, 3816, 8663, 267, 8176, 282, 16019, 267, 8361, 630, 2735, 277, 1040, 634, 7736, 540, 9866, 322, 523, 640, 281, 634, 2558, 10118, 540, 15248, 932, 2660, 2917, 267, 570, 22241, 540, 9435, 543, 674, 15967, 10830, 269, 5842, 12770, 281, 22489, 1299, 18007, 269, 533, 269, 476, 276, 2764, 269, 9768, 476, 271, 268, 6187, 268, 6021, 278, 6187, 272, 268, 279, 563, 268, 962, 328, 25590, 630, 18907, 476, 1960, 273, 1040, 834, 8530, 7667, 538, 3624, 538, 519, 5403, 5336, 7776, 16527, 2668, 20588, 267, 4993, 267, 7330, 281, 7489, 11752, 269, 8158, 5181, 476, 1789, 267, 476, 1001, 276, 563, 268, 16273, 1530, 4060, 27752, 267, 932, 1173, 532, 2701, 6184, 6699, 5771, 1715, 3840, 8648, 267, 4873, 476, 279, 267, 476, 1960, 275, 563, 268, 3883, 5623, 1715, 3840, 8648, 267, 4864, 476, 2764, 267, 476, 1960, 275, 563, 268, 30277, 267, 21919, 531, 630, 20606, 476, 1724, 267, 476, 1960, 280, 1040, 834, 289, 836, 14994, 536, 753, 1007, 26800, 3916, 320, 1433, 2668, 18917, 5240, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 289, 836, 14994, 536, 753, 3791, 26800, 3916, 320, 1433, 2668, 18917, 5240, 269, 4864, 476, 2767, 267, 476, 1220, 273, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 289, 1263, 531, 536, 753, 26800, 3916, 320, 781, 1433, 2668, 634, 9699, 269, 16441, 333, 2967, 267, 3127, 269, 5437, 476, 2764, 267, 476, 1220, 274, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 26056, 267, 1323, 7534, 630, 21938, 476, 1240, 267, 476, 1220, 275, 1040, 834, 26156, 19377, 6554, 1028, 9229, 585, 7333, 940, 26800, 3916, 320, 781, 1433, 2668, 634, 9699, 269, 16441, 333, 2967, 267, 3127, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 667, 9618, 267, 2672, 2809, 630, 1220, 276, 1040, 834, 6635, 1206, 28315, 270, 20486, 281, 590, 5902, 1635, 19382, 1235, 543, 27684, 18267, 2668, 3955, 4964, 6796, 269, 21444, 689, 519, 3312, 593, 2904, 476, 1839, 267, 476, 1220, 279, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 290, 22620, 3076, 1206, 7333, 593, 715, 553, 2240, 781, 1433, 538, 19377, 2668, 4414, 858, 2593, 269, 5181, 476, 2537, 267, 476, 1220, 276, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 2750, 6150, 26800, 3916, 320, 715, 553, 12541, 547, 2132, 547, 16273, 2668, 4095, 12356, 269, 5147, 476, 1626, 267, 476, 1220, 278, 269, 21444, 689, 519, 3312, 593, 2904, 476, 275, 267, 476, 1001, 273, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 6124, 1433, 17049, 693, 581, 4554, 540, 9099, 2462, 1824, 281, 26800, 3916, 320, 2668, 4964, 11565, 540, 3127, 269, 5988, 476, 736, 267, 476, 1220, 275, 269, 21444, 689, 519, 3312, 593, 5412, 476, 274, 267, 476, 1220, 279, 269, 8158, 4873, 476, 272, 267, 476, 1220, 280, 563, 268, 834, 289, 10165, 7734, 2668, 562, 6155, 269, 8158, 5181, 476, 277, 267, 476, 1220, 279, 563, 268, 834, 289, 10165, 7734, 2668, 5384, 269, 5181, 476, 3066, 267, 476, 1220, 279, 269, 8158, 2904, 476, 279, 267, 476, 1001, 271, 563, 268, 3703, 12052, 7732, 5948, 25827, 15213, 9730, 630, 19751, 476, 280, 267, 476, 1220, 280, 1040, 834, 290, 839, 11208, 538, 3703, 12052, 281, 589, 3778, 269, 476, 4198, 271, 1700, 4198, 280, 2668, 26551, 267, 7460, 267, 4516, 281, 3703, 12052, 7732, 5948, 269, 8158, 5437, 476, 1015, 267, 476, 1001, 272, 563, 268, 5754, 2006, 267, 26304, 28089, 269, 834, 7072, 2437, 3807, 606, 18103, 2435, 4303, 269, 645, 656, 600, 267, 476, 1960, 276, 563, 268, 918, 2355, 14988, 529, 267, 10127, 514, 269, 834, 31357, 308, 7548, 781, 3209, 17049, 538, 1627, 20345, 2437, 29430, 8648, 5937, 7371, 2255, 267, 4728, 476, 1691, 267, 476, 1001, 275, 563, 268, 19395, 267, 808, 269, 1290, 545, 23397, 645, 10165, 267, 13323, 5240, 5988, 476, 1321, 267, 476, 1001, 275, 454, 268, 476, 2918, 5130, 476, 1001, 278, 267, 590, 14373, 2228, 267, 5291, 2517, 4178, 4732, 14373, 327, 4115, 2593, 269, 3240, 13045, 268, 2843, 353, 29391, 3264, 13077, 23783, 21162, 13953, 11012, 10528, 25986, 30718, 16044, 491, 7549, 13150, 16417, 9261, 4138, 13150, 4736, 24012, 17153, 20413, 3522, 16021, 23485, 3522, 6459, 13833, 269, 630, 293, 3985, 1592, 540, 17119, 626, 2326, 1070, 6221, 476, 2568, 275, 269, 630, 514, 6739, 1040, 1295, 3286, 269, 745, 454, 268, 717, 2863, 615, 267, 3627, 269, 18738, 5824, 3013, 630, 3707, 272, 1070, 533, 269, 476, 14862, 454, 268, 834, 295, 1409, 523, 717, 525, 564, 2763, 575, 1122, 523, 834, 9288, 514, 918, 2086, 325, 22172, 1923, 536, 335, 321, 257, 630, 514, 4436, 1040, 645, 335, 321, 19709, 269, 5412, 476, 1691, 267, 476, 1001, 276, 269, 8158, 5181, 476, 278, 267, 476, 1001, 277, 563, 268, 834, 289, 1495, 525, 516, 19816, 737, 976, 13521, 328, 1068, 281, 717, 525, 600, 974, 1234, 577, 1206, 341, 832, 577, 337, 3424, 24166, 7638, 21538, 2471, 28856, 476, 3707, 278, 267, 674, 817, 2426, 12154, 476, 736, 269, 6021, 269, 1001, 276, 2668, 25143, 525, 330, 11961, 2401, 600, 339, 1496, 19423, 823, 540, 519, 26554, 27891, 540, 15212, 4940, 476, 1001, 276, 269, 21444, 689, 519, 3312, 593, 5181, 476, 736, 267, 476, 1001, 276, 269, 8158, 5181, 476, 736, 267, 476, 1001, 276, 563, 268, 645, 10165, 7734, 1923, 6732, 24205, 23422, 5240, 543, 6176, 269, 2201, 6050, 1539, 1108, 323, 12801, 14492, 269, 8158, 593, 476, 1001, 273, 268, 4905, 268, 2641, 563, 268, 23580, 601, 4565, 636, 267, 661, 28609, 282, 9478, 918, 1069, 880, 282, 1744, 332, 3241, 918, 21531, 22603, 630, 1960, 273, 1040, 14470, 11219, 28779, 9534, 4438, 519, 5822, 2622, 2782, 269, 3345, 13523, 2160, 4964, 269, 533, 269, 476, 5002, 269, 9768, 476, 271, 268, 279, 1015, 272, 268, 6021, 277, 274, 268, 279, 563, 268, 10370, 976, 267, 6742, 2106, 630, 1001, 272, 1040, 7734, 2433, 513, 2713, 1686, 269, 11968, 13353, 281, 808, 269, 6754, 5192, 1399, 7467, 269, 533, 269, 476, 9818, 269, 9768, 476, 7818, 268, 272, 268, 2568, 277, 6187, 268, 5400, 274, 268, 275, 563, 268, 834, 289, 10165, 7734, 6732, 8487, 268, 834, 6124, 2622, 11352, 781, 769, 638, 9974, 538, 18548, 11844, 2668, 21444 ]

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

[ 0, 293, 919, 540, 3509, 454, 347, 4910, 1051, 543, 570, 16260, 1923, 11657, 566, 540, 6014, 3778, 2008, 299, 739, 823, 1923, 7720, 3559, 333, 823, 1923, 772, 810, 341, 454, 29409, 822, 807, 267, 16231, 6243, 454, 763, 7690, 6212, 922, 2238, 593, 12319, 540, 1686, 543, 2528, 540, 519, 5449, 6014, 2950, 538, 10034, 540, 23452, 823, 267, 7720, 3559, 333, 823, 267, 772, 810, 341, 543, 9986, 558, 537, 322, 607, 519, 9030, 1505, 540, 519, 3450, 21727, 543, 570, 16260, 547, 519, 1004, 543, 1053, 540, 519, 16231, 6243, 269, 6301, 2959, 540, 1344, 616, 21517, 267, 3332, 543, 5711, 1686, 563, 6124, 569, 9715, 2326, 543, 1344, 616, 5781, 4843, 547, 1857, 538, 24218, 267, 12326, 267, 11356, 4930, 543, 3872, 3292, 269, 634, 3395, 4015, 540, 1974, 11147, 267, 6054, 267, 3615, 543, 519, 2835, 689, 519, 21727, 543, 570, 16260, 5399, 616, 1031, 547, 5965, 1007, 3292, 543, 24218, 269, 769, 476, 1220, 276, 519, 12572, 20375, 547, 519, 9601, 540, 519, 14195, 729, 2813, 972, 538, 9316, 609, 1053, 269, 769, 4873, 476, 1220, 279, 519, 8628, 9754, 4159, 729, 8704, 538, 519, 772, 810, 341, 31263, 4084, 543, 538, 4728, 476, 1001, 272, 519, 1007, 9754, 4159, 543, 32572, 16423, 7732, 729, 8118, 538, 519, 22058, 730, 23452, 823, 31263, 4084, 563, 14532, 540, 6014, 11175, 538, 938, 3148, 4422, 1394, 547, 519, 476, 1428, 628, 2540, 267, 855, 1360, 2370, 3007, 814, 1044, 2016, 547, 713, 1641, 865, 2484, 269, 634, 1788, 21727, 543, 570, 16260, 568, 513, 1507, 9295, 547, 519, 1184, 540, 11423, 538, 602, 9000, 269, 3778, 540, 519, 6014, 2950, 538, 519, 23452, 823, 1858, 2394, 519, 13303, 13567, 568, 513, 1650, 540, 12560, 30398, 540, 6014, 543, 4168, 11317, 269, 1703, 568, 7899, 540, 2963, 602, 538, 519, 1974, 1354, 24918, 267, 7642, 941, 4628, 7471, 883, 519, 2486, 543, 3576, 4105, 851, 538, 2686, 543, 1514, 1272, 540, 741, 10034, 563, 2171, 3494, 519, 14266, 543, 8313, 3823, 519, 1686, 540, 6014, 2950, 538, 23452, 823, 267, 7720, 3559, 333, 823, 543, 772, 810, 341, 666, 581, 1031, 607, 2963, 602, 27031, 30398, 540, 1004, 609, 1114, 3909, 543, 7292, 4282, 729, 267, 543, 568, 267, 2009, 269, 769, 938, 5258, 1158, 971, 513, 5048, 568, 1869, 1898, 543, 1360, 1271, 563, 257, 1862, 547, 2611, 14980, 543, 967, 27075, 568, 519, 6574, 5609, 540, 782, 907, 4799, 310, 27903, 540, 17587, 13458, 15356, 543, 27254, 776, 16588, 540, 519, 7690, 21727, 543, 570, 16260, 0, 5475, 31480, 267, 14274, 543, 6151, 5779, 267, 519, 4436, 8128, 723, 1336, 513, 1007, 27521, 547, 16620, 585, 519, 12176, 540, 661, 4047, 290, 3968, 281, 21167, 28667, 543, 824, 17708, 1154, 5388, 971, 607, 21378, 2812, 543, 10365, 563, 2005, 568, 4105, 602, 519, 2707, 540, 519, 3968, 568, 1336, 4166, 267, 711, 2547, 1317, 811, 982, 476, 736, 1004, 723, 2907, 5747, 910, 6140, 538, 5125, 910, 543, 936, 476, 273, 267, 1822, 723, 1044, 7783, 676, 713, 1007, 3099, 540, 661, 31815, 328, 4551, 563, 2080, 538, 519, 13814, 267, 10448, 25210, 723, 1044, 21354, 5734, 269, 2311, 519, 4090, 267, 519, 4436, 7634, 568, 23622, 593, 513, 3484, 538, 13722, 29017, 3415, 1107, 2282, 519, 10656, 8473, 1107, 799, 9428, 2048, 4944, 709, 1154, 685, 5388, 971, 607, 21167, 28667, 267, 21378, 2812, 267, 543, 22282, 269, 2755, 4255, 616, 1373, 2196, 267, 519, 3484, 814, 1044, 6806, 1524, 543, 519, 4436, 1072, 8128, 616, 9963, 1004, 711, 547, 3548, 21167, 28667, 610, 824, 17708, 1154, 5388, 563, 11321, 4897, 2098, 2884, 1359, 267, 7548, 540, 1426, 8762, 5735, 693, 519, 2160, 540, 25538, 2287, 523, 267, 568, 711, 18617, 602, 21167, 28667, 616, 519, 2707, 540, 519, 12176, 563, 17606, 1522, 581, 513, 2707, 267, 855, 649, 12582, 1406, 7340, 602, 1082, 2009, 2959, 723, 1044, 3957, 5063, 269, 594, 1810, 1406, 1589, 621, 568, 7543, 602, 713, 568, 519, 2014, 267, 855, 621, 1223, 849, 581, 1945, 3116, 269, 898, 568, 711, 1978, 2943, 3034, 5141, 10846, 827, 519, 2014, 540, 519, 661, 4047, 290, 12176, 568, 711, 1152, 1271, 585, 7189, 543, 2550, 269, 22320, 619, 991, 547, 917, 1932, 269, 7831, 3018, 519, 9042, 540, 31480, 25540, 543, 1631, 1004, 616, 12922, 602, 519, 1007, 14353, 1107, 21167, 28667, 1107, 786, 849, 723, 4539, 585, 25210, 267, 1519, 10656, 3283, 269, 4634, 1498, 267, 607, 654, 4068, 332, 7195, 329, 15710, 267, 5883, 8689, 540, 519, 10656, 4123, 3760, 674, 2607, 328, 20764, 320, 267, 3081, 267, 972, 779, 1100, 2601, 585, 602, 563, 18658, 568, 8345, 693, 519, 4090, 568, 29070, 269, 3502, 1175, 585, 10656, 25210, 267, 855, 585, 519, 2898, 4829, 543, 10448, 4123, 269, 1284, 723, 5645, 856, 607, 1082, 4255, 607, 649, 7654, 666, 269, 2991, 1063, 476, 6110, 543, 476, 4335, 4255, 267, 1100, 661, 4047, 290, 4551, 723, 1044, 1336, 538, 5388, 538, 519, 13814, 3034, 23178, 2098, 2884, 1359, 849, 17613, 602, 519, 661, 4047, 290, 13050, 19874, 568, 5631, 513, 4436, 1966, 269, 1261, 14659, 972, 568, 1100, 2601, 585, 11784, 538, 519, 13814, 610, 824, 2477, 563, 14881, 993, 1152, 7255, 585, 1004, 538, 5125, 269, 1284, 1058, 4585, 856, 602, 649, 1810, 1406, 1376, 9117, 3352, 1674, 958, 538, 519, 13814, 269, 1280, 3236, 267, 649, 666, 3136, 547, 3548, 21167, 28667, 269, 634, 12176, 568, 538, 7187, 5125, 269, 1703, 568, 1945, 2469, 593, 972, 269, 1733, 31295, 1587, 568, 3957, 267, 519, 1981, 538, 824, 2477, 3788, 1970, 3034, 295, 2426, 776, 799, 4867, 23107, 519, 3864, 5742, 267, 814, 9307, 6683, 26110, 786, 3180, 606, 6595, 5870, 538, 29761, 593, 13638, 563, 19602, 267, 519, 10656, 5253, 543, 19901, 8605, 8881, 630, 309, 23354, 264, 6392, 814, 9307, 4255, 593, 21167, 28667, 6738, 538, 519, 13814, 269, 2423, 17067, 593, 11728, 519, 6392, 1767, 4255, 941, 711, 2556, 269, 3767, 621, 3081, 281, 968, 933, 1616, 547, 581, 593, 519, 2922, 2427, 1848, 0, 763, 1788, 968, 290, 7394, 24035, 338, 540, 519, 3162, 7489, 16323, 892, 729, 15748, 676, 519, 14408, 2752, 290, 26066, 5004, 10418, 630, 17092, 313, 10157, 264, 22503, 685, 538, 1931, 547, 13599, 1453, 543, 6107, 540, 14408, 2752, 290, 4759, 2477, 593, 14147, 18625, 543, 741, 7103, 267, 6937, 547, 18625, 543, 2560, 7348, 454, 6347, 2752, 290, 26066, 18630, 5004, 10418, 814, 6896, 606, 2825, 4656, 7688, 538, 5698, 609, 27657, 5689, 323, 1161, 269, 901, 568, 513, 1600, 538, 5412, 476, 1220, 280, 269, 20640, 3506, 689, 5689, 2946, 15548, 538, 713, 2680, 269, 8437, 1934, 547, 4647, 2055, 543, 4267, 540, 14408, 2752, 290, 7641, 13658, 2560, 7348, 454, 2108, 6347, 2752, 290, 5620, 518, 340, 5608, 9381, 4656, 538, 513, 1875, 18396, 770, 531, 2197, 814, 1044, 6707, 4371, 538, 774, 574, 874, 340, 267, 13225, 27175, 607, 851, 540, 519, 5753, 543, 15272, 16635, 6896, 676, 519, 4972, 540, 15272, 543, 22505, 267, 12080, 540, 4065, 689, 476, 276, 268, 278, 540, 5147, 476, 1220, 280, 563, 13328, 7909, 4303, 476, 1220, 280, 729, 9976, 676, 14408, 2752, 290, 26066, 18630, 5004, 10418, 538, 5698, 540, 12080, 540, 30656, 6554, 540, 5689, 323, 1161, 269, 3509, 2238, 3576, 851, 547, 8661, 713, 1554, 563, 3383, 559, 661, 12509, 1107, 519, 8851, 540, 3037, 676, 519, 2962, 540, 1216, 610, 2842, 267, 31903, 676, 4057, 6694, 2853, 267, 17717, 267, 936, 6588, 4506, 267, 543, 9390, 2305, 269, 24665, 730, 3037, 11761, 676, 1216, 610, 2842, 949, 1860, 1312, 6694, 2127, 543, 519, 2067, 1604, 267, 543, 2560, 7348, 0, 8722, 25733, 15661, 281, 5871, 700, 3019, 454, 13349, 700, 3019, 630, 294, 822, 807, 454, 263, 18933, 708, 1067, 267, 900, 828, 267, 3109, 2989, 607, 1127, 267, 15151, 13288, 547, 4158, 20034, 720, 4700, 20373, 563, 299, 281, 476, 3066, 268, 3953, 257, 654, 281, 476, 1724, 268, 1691, 4840, 28694, 1804, 267, 1279, 267, 543, 6366, 269, 1879, 3742, 267, 26055, 1970, 538, 1216, 282, 6083, 1846, 2362, 950, 16889, 610, 840, 2287, 269, 10361, 3625, 344, 267, 14328, 267, 543, 1305, 593, 5394, 8405, 269, 31698, 513, 1507, 29424, 593, 30432, 267, 7429, 824, 23683, 3138, 976, 269, 9291, 2786, 543, 546, 16925, 268, 899, 267, 609, 13581, 5086, 4571, 3118, 547, 9133, 593, 2539, 8260, 1043, 269, 681, 12584, 593, 1216, 609, 10978, 1793, 6260, 4992, 950, 2921, 8184, 269, 4469, 625, 609, 2656, 267, 3532, 13719, 18116, 593, 28795, 11329, 12209, 269, 4469, 2355, 11179, 282, 3350, 5526, 547, 581, 13671, 538, 13617, 4388, 563, 17954, 5338, 16989, 281, 17286, 3256, 4386, 538, 23683, 538, 713, 20034, 720, 269, 10361, 543, 8405, 2620, 4158, 3039, 267, 855, 5526, 3109, 896, 1034, 8654, 269, 31698, 2189, 4174, 6244, 267, 3043, 27897, 543, 24060, 4174, 701, 269, 7982, 543, 1166, 3471, 3109, 609, 9343, 540, 1804, 267, 3043, 10945, 610, 1179, 330, 956, 2429, 563, 310, 5793, 16989, 281, 31698, 3043, 524, 29266, 1472, 3750, 269, 7982, 4158, 543, 3622, 796, 5658, 539, 269, 590, 1938, 540, 8405, 6825, 676, 4158, 6512, 543, 12779, 711, 577, 4758, 621, 513, 10169, 986, 13949, 5920, 267, 7429, 7414, 700, 3019, 269, 20661, 544, 9567, 1154, 883, 9960, 20034, 720, 630, 18550, 5336, 599, 264, 3335, 2408, 1454, 899, 1875, 3691, 5338, 5017, 855, 609, 15244, 540, 9960, 20034, 720, 6932, 2429, 519, 1560, 267, 2523, 593, 519, 1394, 543, 8405, 630, 2254, 11609, 1916, 17315, 8736, 281, 7454, 5143, 689, 1875, 3691, 5338, 2937, 676, 1769, 536, 18732, 593, 1394, 17207, 2813, 676, 12779, 13692, 1196, 326, 902, 269, 15788, 536, 992, 1676, 267, 5493, 518, 267, 543, 811, 544, 3176, 982, 1875, 3691, 5338, 2937, 563, 309, 4069, 281, 717, 1161, 513, 10978, 267, 1279, 267, 6537, 13050, 552, 24809, 586, 617, 601, 593, 9960, 12406, 282, 14980, 3544, 9960, 2039, 563, 310, 5793, 2937, 781, 8405, 6825, 676, 513, 4158, 6512, 543, 12779, 711, 577, 267, 4758, 513, 986, 13949, 454, 1952, 30970, 267, 7429, 519, 4130, 7414, 543, 4414, 6253, 549, 730, 700, 9398, 282, 15320, 689, 454, 322, 768, 528, 1218, 676, 3677, 2450, 267, 1560, 2527, 267, 5394, 8405, 543, 3915, 267, 20034, 720, 32442, 2676, 663, 8184, 3337, 282, 13747, 689, 5871, 631, 1120, 753, 518, 676, 3915, 3337, 267, 5347, 454, 3650, 267, 3677, 2450, 267, 543, 2949, 32442, 563, 20332, 3778, 269, 7324, 519, 1158, 781, 1034, 12913, 11362, 5017, 267, 5871, 700, 9398, 1118, 3723, 1790, 1886, 8215, 546, 1161, 602, 949, 9765, 17909, 540, 476, 1220, 3952, 269, 9540, 3165, 616, 741, 9053, 10352, 855, 789, 849, 8532, 12933, 30702, 267, 12748, 7786, 543, 2371, 267, 1519, 13479, 269, 4014, 5827, 540, 5393, 2620, 546, 1161, 267, 5871, 700, 9398, 2356, 28532, 2282, 519, 5377, 538, 5266, 13719, 267, 683, 6702, 648, 7297, 269, 2755, 10977, 2059, 519, 1216, 781, 2627, 267, 789, 949, 13148, 21477, 613, 741, 12014, 543, 15483, 741, 9843, 547, 9263, 585, 3165, 14015, 269, 4495, 10352, 3688, 616, 19481, 267, 789, 4685, 4464, 609, 17615, 682, 2355, 543, 616, 5827, 540, 1279, 14015, 18697, 563, 18850, 9084, 543, 26335, 269, 6348, 3691, 5338, 8436, 689, 7187, 9960, 12406, 267, 1034, 5871, 700, 9398, 538, 4993, 2611, 538, 9381, 7297, 269, 3962, 1032, 267, 2705, 267, 2043, 5781, 2408, 593, 1804, 12647, 543, 23854, 538, 4993, 781, 9703, 269, 4639, 9386, 281, 5871, 700, 9398, 616, 16613, 855, 2834, 8436, 547, 1804, 23854, 971, 607, 8235, 1325, 2006, 528, 267, 674, 11169, 558, 8235, 267, 7085, 30639, 8235, 267, 543, 8235, 1772, 629, 7578, 282, 593, 4686, 14026, 267, 1875, 3691, 5338, 2043, 2611, 998, 4832, 269, 769, 3735, 4832, 543, 2887, 267, 4955, 7992, 5871, 700, 9398, 12212, 2408, 693, 1804, 1016, 531, 18090, 12647, 267, 971, 607, 693, 14210, 11535, 8235, 538, 962, 846, 332, 924, 2817, 5244, 269, 5101, 9386, 281, 5871, 700, 9398, 616, 9425, 1455, 538, 2887, 267, 5162, 267, 543, 5614, 693, 1804, 267, 1216, 4703, 971, 607, 8235, 570, 1695, 4141, 267, 5213, 1676, 8235, 267, 5440, 1794, 8235, 267, 645, 10087, 1763, 969, 7546, 267, 15167, 1636, 8235, 267, 543, 8235, 18844, 2917, 267, 855, 789, 2356, 10205, 891, 12647, 952, 8101, 2127, 540, 1930, 1216, 19068, 538, 5162, 269, 769, 4989, 267, 519, 4102, 5834, 540, 4955 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 4394, 547, 32243, 18185, 454, 21920, 1770, 7503, 568, 513, 1455, 4305, 1317, 519, 1114, 1062, 540, 4559, 814, 1585, 4559, 547, 2268, 513, 3259, 540, 606, 1843, 269, 898, 568, 2352, 585, 513, 2875, 547, 3314, 782, 3347, 1063, 1346, 4559, 269, 2290, 540, 519, 1034, 1455, 24740, 568, 689, 7397, 547, 3952, 269, 1403, 596, 616, 8572, 547, 3314, 519, 2078, 1063, 891, 4559, 267, 596, 1058, 946, 519, 7397, 3562, 1922, 324, 564, 9498, 563, 1607, 1907, 814, 1044, 23553, 585, 713, 7503, 538, 1880, 269, 4635, 713, 13004, 9498, 267, 596, 666, 6460, 1022, 6482, 689, 7397, 547, 3952, 1369, 7643, 269, 898, 786, 6460, 707, 2016, 6482, 609, 6111, 269, 2913, 721, 2995, 596, 827, 713, 1907, 607, 1134, 607, 519, 1505, 547, 6460, 835, 1770, 547, 519, 824, 563, 8368, 540, 12937, 454, 1432, 616, 7397, 888, 288, 11281, 568, 513, 3490, 1770, 689, 519, 16038, 1062, 540, 4559, 602, 568, 1031, 4922, 538, 519, 1158, 269, 634, 7397, 616, 1031, 547, 2268, 519, 3259, 540, 3044, 3615, 267, 5011, 267, 543, 5546, 269, 2201, 519, 4493, 540, 713, 1770, 267, 2789, 6905, 4559, 616, 6508, 585, 1804, 543, 1507, 7403, 1519, 18741, 18852, 267, 2578, 12281, 267, 3092, 563, 288, 6482, 666, 581, 2854, 538, 713, 1770, 676, 8380, 968, 332, 892, 593, 519, 1318, 2427, 540, 519, 1297, 269, 1306, 621, 568, 513, 3490, 1770, 267, 649, 666, 6460, 621, 883, 1114, 4559, 540, 3259, 689, 519, 16038, 1062, 607, 1134, 607, 689, 824, 1770, 1949, 563, 1432, 616, 3952, 888, 288, 3723, 568, 1776, 1770, 540, 3259, 855, 621, 12851, 547, 519, 2475, 22232, 1062, 540, 4559, 269, 8786, 267, 621, 3085, 1406, 4866, 547, 519, 16038, 1062, 540, 4559, 799, 2306, 922, 946, 3908, 269, 634, 32243, 616, 7363, 1031, 538, 7262, 2477, 585, 7893, 519, 3259, 540, 4610, 267, 11623, 267, 543, 1866, 563, 2414, 1397, 513, 6482, 538, 713, 1770, 267, 649, 723, 547, 2328, 968, 1111, 892, 1175, 22290, 519, 1297, 6029, 519, 3259, 269, 898, 1797, 649, 723, 547, 2328, 621, 607, 968, 1839, 10264, 892, 952, 519, 3259, 568, 476, 1839, 563, 300, 4394, 547, 3952, 4542, 454, 2026, 649, 723, 5018, 602, 7397, 543, 3952, 1312, 616, 1031, 547, 2268, 519, 13080, 269, 1924, 267, 649, 666, 3362, 6460, 513, 6482, 689, 7397, 547, 3952, 269, 3371, 568, 519, 4542, 596, 723, 547, 946, 585, 713, 7503, 563, 272, 11281, 815, 476, 274, 269, 27005, 3952, 454, 2171, 666, 849, 27682, 621, 607, 2676, 272, 3723, 815, 476, 271, 269, 19054, 279, 7397, 454, 1692, 547, 6460, 7397, 547, 3952, 888, 3528, 1739, 519, 1657, 2078, 267, 596, 666, 3362, 6460, 513, 6482, 2016, 538, 7397, 547, 3952, 269, 1280, 707, 1620, 267, 649, 723, 849, 12193, 606, 1383, 1934, 563, 3519, 3200, 476, 2537, 7397, 547, 3952, 563, 2026, 649, 917, 2676, 272, 11281, 815, 476, 274, 269, 27005, 3952, 454, 2537, 544, 815, 476, 2537, 1535, 476, 274, 269, 27005, 10264, 454, 284, 476, 4037, 269, 3393, 280, 10264, 454, 300, 4394, 547, 2578, 12281, 7503, 3349, 454, 1692, 547, 946, 519, 7397, 3562, 1922, 324, 564, 9498, 888, 2690, 930, 1053, 267, 621, 949, 711, 581, 2653, 547, 1685, 713, 7503, 16924, 269, 3371, 616, 519, 3268, 547, 946, 713, 1907, 676, 18185, 779, 20045, 585, 782, 1346, 1053, 563, 268, 9373, 519, 6482, 2016, 538, 7397, 454, 268, 901, 9498, 786, 8850, 6460, 519, 3259, 547, 3952, 454, 11902, 304, 1923, 631, 4394, 547, 32243, 18185, 454, 1432, 2450, 568, 476, 272, 11281, 538, 3952, 888, 1103, 2450, 267, 476, 272, 11281, 568, 3160, 547, 476, 274, 269, 27005, 3952, 563, 1692, 798, 596, 6460, 7397, 547, 3952, 888, 2414, 6460, 7397, 547, 3952, 267, 649, 723, 547, 9062, 519, 6482, 2016, 538, 7397, 676, 476, 274, 269, 27005, 563, 3674, 476, 274, 10264, 3476, 982, 513, 11281, 888, 5591, 267, 476, 274, 10264, 568, 4130, 982, 513, 11281, 563, 1692, 798, 596, 2268, 476, 272, 11281, 888, 2467, 616, 1114, 4485, 547, 7893, 476, 272, 11281, 899, 1210, 519, 11263, 540, 707, 1688, 563, 3674, 513, 11281, 8273, 982, 513, 13452, 888, 8133, 267, 513, 11281, 568, 513, 2370, 8273, 982, 513, 13452, 855, 621, 568, 2808, 519, 1482, 607, 513, 13452, 538, 1507, 7403, 563, 1432, 616, 476, 1911, 7397, 1572, 888, 1911, 7397, 568, 1572, 513, 1298, 9014, 799, 568, 1776, 4130, 1770, 540, 3259, 6482, 269, 0, 258, 279, 300, 1107, 4139, 6468, 779, 4303, 454, 2690, 713, 4139, 6468, 779, 4303, 267, 519, 2136, 8315, 6069, 519, 1888, 968, 307, 578, 1841, 606, 32213, 7913, 2622, 281, 16743, 543, 5303, 585, 13834, 25734, 1848, 3245, 932, 545, 553, 679, 570, 1815, 333, 860, 17144, 267, 649, 5000, 519, 15287, 540, 519, 1764, 602, 519, 4008, 7934, 538, 2029, 814, 593, 7239, 543, 519, 2956, 540, 2810, 4763, 1851, 519, 1004, 945, 1589, 267, 1374, 543, 1020, 3059, 3435, 602, 616, 5051, 3444, 24408, 1154, 538, 1004, 779, 2729, 563, 2414, 1174, 519, 1459, 538, 799, 649, 2661, 543, 2981, 621, 883, 513, 3655, 790, 337, 543, 811, 8537, 1747, 267, 621, 568, 2556, 547, 723, 1699, 543, 13865, 1242, 1239, 269, 1677, 713, 1439, 267, 649, 1711, 2963, 593, 519, 4008, 7934, 538, 2029, 538, 1931, 547, 3310, 519, 1966, 267, 2671, 519, 1344, 609, 519, 2551, 543, 1711, 513, 1514, 7029, 547, 2014, 7293, 2242, 269, 769, 476, 1708, 273, 649, 4843, 519, 1382, 968, 308, 3534, 1286, 516, 571, 964, 580, 783, 281, 3288, 1786, 15939, 632, 575, 2946, 1676, 334, 679, 1714, 521, 626, 9047, 5203, 527, 9222, 632, 18335, 892, 1496, 2304, 772, 928, 23974, 19396, 281, 634, 13834, 29361, 538, 18335, 779, 2160, 3590, 3910, 799, 12220, 519, 7589, 540, 2021, 538, 2257, 267, 2029, 267, 4702, 543, 6128, 630, 23727, 264, 11678, 269, 634, 4681, 8451, 689, 519, 8760, 540, 936, 5722, 8536, 6280, 5232, 4080, 676, 519, 12080, 540, 4065, 538, 3210, 547, 13668, 585, 1569, 547, 1857, 1344, 269, 634, 2079, 9607, 519, 1974, 1063, 476, 1001, 271, 543, 476, 1001, 280, 543, 6212, 593, 13241, 10459, 543, 519, 4720, 540, 2021, 779, 7589, 538, 891, 2127, 269, 634, 1867, 2982, 519, 10770, 4008, 7934, 538, 11678, 5532, 547, 2029, 1646, 912, 1892, 769, 18335, 267, 2021, 2099, 1152, 476, 4097, 260, 540, 519, 2875, 1560, 538, 13241, 10459, 543, 476, 1704, 260, 540, 519, 2875, 1560, 538, 5752, 563, 1892, 4014, 6280, 2090, 616, 9750, 2443, 519, 1297, 540, 1053, 2799, 476, 736, 260, 538, 476, 279, 1296, 2443, 13241, 11678, 616, 3395, 693, 513, 14887, 10605, 563, 4263, 932, 545, 553, 679, 570, 1815, 333, 860, 17144, 267, 649, 960, 865, 602, 5051, 811, 1762, 2021, 945, 2697, 609, 519, 4775, 4008, 666, 2015, 2029, 607, 606, 4781, 585, 741, 2866, 543, 3318, 1646, 269, 634, 7589, 540, 2021, 538, 782, 741, 4763, 538, 13241, 11678, 543, 538, 782, 2127, 1141, 3232, 6639, 3435, 616, 2813, 543, 2966, 2306, 621, 2009, 547, 2697, 513, 3152, 1297, 540, 2115, 1459, 538, 2486, 267, 1711, 8537, 2533, 543, 2472, 267, 543, 1291, 3621, 543, 6639, 8441, 689, 606, 23353, 267, 4129, 1881, 543, 14719, 894, 5133, 540, 519, 3003, 2551, 563, 4131, 779, 2981, 2029, 543, 1628, 3655, 790, 337, 7239, 2336, 266, 6258, 827, 519, 1292, 1382, 4681, 693, 713, 3095, 563, 266, 8281, 2592, 609, 1382, 1239, 693, 713, 3095, 563, 266, 7457, 519, 2407, 1382, 538, 713, 3095, 269, 0, 3799, 4700, 589, 1448, 282, 519, 8325, 1439, 610, 1283, 540, 4376, 602, 2165, 7149, 538, 513, 1448, 282, 607, 267, 519, 8445, 267, 610, 4395, 267, 540, 513, 1698, 563, 3799, 4700, 634, 1283, 267, 610, 835, 540, 519, 25568, 267, 540, 513, 14629, 267, 7823, 267, 610, 2039, 267, 10678, 538, 513, 1448, 282, 1419, 267, 519, 2898, 14629, 610, 7823, 267, 17611, 269, 950, 9678, 282, 607, 267, 519, 30078, 540, 570, 10273, 858, 324, 563, 3799, 4700, 634, 5580, 1310, 2865, 7944, 540, 513, 2062, 7146, 8584, 1111, 13743, 282, 4534, 1031, 538, 1082, 10659, 282, 607, 267, 8445, 3620, 3315, 1841, 267, 8445, 1532, 571, 2812, 267, 3092, 563, 3799, 4700, 634, 7522, 851, 540, 513, 6077, 781, 6367, 267, 610, 519, 3180, 1369, 621, 563, 3799, 4700, 634, 17119, 640, 540, 606, 19671, 2770, 651, 282, 519, 3915, 563, 17635, 269, 1775, 4700, 1677, 4473, 610, 8831, 883, 513, 8445, 610, 1448, 282, 547, 1106, 267, 610, 2408, 607, 267, 513, 8445, 563, 17635, 269, 1775, 4700, 1677, 10536, 8325, 1145, 540, 4137, 610, 2934, 282, 8754, 267, 547, 1413, 6094, 610, 7210, 344, 563, 17635, 269, 1775, 4700, 1677, 533, 787, 282, 547, 890, 788, 521, 569, 569, 563, 17635, 269, 512, 4700, 1677, 6318, 547, 513, 2990, 13902, 267, 610, 811, 5176, 865, 282, 607, 267, 547, 8445, 522, 1513, 267, 547, 3180, 873, 20005, 282, 547, 8445, 513, 575, 3530, 610, 13452, 267, 547, 1305, 621, 683, 13145, 519, 13902, 563, 263, 272, 264, 634, 11664, 540, 8390, 538, 519, 7471, 1858, 540, 513, 2582, 8445, 568, 476, 1626, 18336, 263, 273, 264, 3371, 649, 1397, 602, 713, 15632, 540, 6673, 268, 273, 22328, 568, 693, 519, 1377, 540, 16606, 543, 568, 23644, 267, 8757, 513, 8445, 476, 4366, 268, 7761, 32162, 1310, 519, 1840, 540, 17241, 543, 19394, 27502, 267, 1256, 538, 519, 6024, 4527, 540, 17241, 563, 263, 274, 264, 589, 2381, 334, 3679, 5311, 2079, 4951, 602, 1312, 19589, 1185, 9838, 715, 3856, 1400, 9696, 998, 519, 1101, 476, 2764, 22016, 563, 263, 275, 264, 1452, 7422, 941, 9672, 676, 519, 11318, 14258, 538, 7535, 539, 16796, 5833, 693, 8445, 543, 512, 893, 2157, 563, 263, 276, 264, 634, 8445, 7636, 2597, 2760, 6603, 602, 540, 513, 2347, 476, 273, 281, 272, 1950, 563, 263, 277, 264, 30078, 1401, 21732, 10046, 543, 1280, 1027, 1401, 21732, 6399, 10046, 338, 538, 519, 9832, 476, 271, 268, 1839, 9077, 476, 1839, 268, 2004, 260, 543, 476, 2004, 268, 4037, 260, 540, 1280, 1027, 966, 1388, 27519, 941, 3648, 4389, 538, 2831, 6534, 547, 17405, 9688, 32669, 267, 6466, 519, 1895, 6534, 547, 19844, 9688, 32669, 1705, 711, 8428, 689, 519, 1852, 1895, 563, 263, 278, 264, 1284, 2461, 1565, 547, 4558, 8445, 1379, 538, 782, 5686, 540, 2081, 281, 513, 4993, 25488, 585, 1007, 1379, 3761, 729, 4465, 676, 513, 2754, 602, 3096, 3063, 3859, 1648, 547, 19068, 4672, 267, 799, 1287, 5283, 1206, 1282, 519, 1554, 547, 3761, 1379, 563, 263, 279, 264, 3143, 1713, 21374, 540, 8445, 966, 302, 273, 941, 4767, 1063, 519, 476, 274, 4255, 563, 263, 280, 264, 3212, 6545, 538, 519, 14203, 4994, 941, 28263, 676, 476, 277, 2395, 609, 19589, 538, 519, 16796, 19697, 5834, 563, 263, 1015, 264, 30078, 11841, 568, 1336, 1851, 476, 2412, 547, 476, 5392, 4458, 6040, 543, 476, 2568, 547, 476, 5038, 4458, 6040, 2021, 563, 263, 1556, 264, 634, 14230, 540, 519, 5925, 13808, 7902, 24885, 25140, 1175, 1991, 547, 519, 20312, 656, 16867, 8445, 267, 10834, 602, 7135, 811, 8701, 982, 519, 2385, 941, 1459, 607, 7004, 2472, 563, 263, 1321, 264, 634, 7455, 540, 5378, 4680, 8445, 539, 693, 519, 1482, 942, 607, 602, 540, 570, 298, 2534, 855, 729, 1152, 476, 6924, 260, 607, 3573, 563, 263, 1724, 264, 1284, 9959, 602, 519, 3731, 1474, 520, 657, 2096, 20627, 16846, 5161, 540, 606, 2038, 2300, 527, 2218, 5057, 1813, 547, 519, 2038, 11852, 540, 681, 309, 299, 17898, 1400, 1623, 12949, 334, 1410, 31842, 2218, 11409, 609, 6385, 10647, 4949, 976, 543, 513, 2663, 8445, 602, 949, 8451, 689, 519, 3735, 11852, 540, 891, 1482, 11409, 607, 1134, 607, 519, 2038, 11852, 540, 681, 309, 299, 21729, 558, 19318, 11409, 609, 811, 7444, 10647, 11983, 4949, 976, 563, 263, 1691, 264, 634, 20554, 295, 10638, 16626, 31380, 267, 609, 3339, 23280, 6114, 547, 1244, 582, 14271, 716, 1156, 630, 24030, 518, 982, 476, 15946, 271, 693, 476, 277, 554, 264, 543, 31202, 20945, 630, 701, 752, 267, 476, 276, 3445, 264, 476, 1691, 543, 476, 1240, 3275, 2022, 31691, 267, 6606, 563, 263, 1428, 264, 3143, 2078, 729, 1336, 609, 519, 6207, 1871, 540, 2901, 8445, 610, 1858, 23435, 563, 263, 1626, 264, 717, 333, 305, 295, 30376, 3812, 606, 7525, 2333, 538, 11919 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 512, 568, 519, 1297, 540, 7623, 532, 5712, 630, 2254, 1109, 8734, 476, 1015, 267, 476, 1001, 276, 2334, 568, 1946, 7623, 1719, 568, 707, 1655, 3659, 950, 621, 2501, 547, 10115, 269, 589, 3476, 16754, 281, 8892, 10025, 815, 10558, 1871, 14370, 272, 266, 8882, 3175, 2557, 8203, 15893, 540, 1296, 269, 815, 1015, 267, 1822, 270, 674, 309, 568, 519, 5092, 781, 10678, 270, 3901, 12053, 1871, 780, 1993, 1719, 543, 2557, 540, 10958, 267, 543, 519, 1459, 543, 2104, 2418, 540, 513, 2582, 8569, 269, 1280, 519, 7623, 29027, 1505, 267, 519, 19017, 2179, 936, 513, 1974, 540, 942, 568, 519, 9030, 585, 16270, 519, 15657, 540, 519, 10211, 267, 519, 3068, 1871, 568, 5231, 3281, 895, 9314, 16754, 32273, 497, 9537, 540, 3281, 895, 9314, 32273, 497, 16754, 585, 634, 15657, 1871, 786, 581, 12652, 269, 476, 1626, 267, 275, 3607, 269, 866, 269, 901, 1847, 568, 851, 540, 519, 2557, 14469, 4640, 543, 519, 1482, 568, 2693, 547, 581, 8045, 676, 824, 8492, 538, 519, 2282, 2104, 269, 634, 2104, 610, 15657, 1871, 589, 540, 623, 9489, 693, 513, 2241, 1719, 2557, 678, 585, 512, 1296, 568, 269, 589, 269, 623, 1556, 1677, 1265, 513, 4542, 585, 7623, 1719, 267, 1101, 15475, 602, 623, 9489, 568, 1109, 1323, 4443, 1259, 547, 12337, 519, 2179, 540, 7623, 1719, 568, 547, 9062, 519, 1306, 3254, 2630, 267, 952, 649, 1376, 609, 513, 2104, 1871, 540, 8096, 277, 267, 278, 2767, 693, 519, 1439, 540, 476, 736, 1296, 538, 519, 634, 2698, 1459, 1871, 540, 519, 3045, 8462, 543, 519, 1871, 693, 15657, 568, 8096, 1724, 267, 279, 8618, 780, 1012, 901, 568, 1634, 607, 7623, 1719, 269, 2422, 540, 8892, 10025, 269, 634, 2104, 1871, 4542, 692, 13202, 476, 736, 267, 476, 1708, 271, 769, 519, 1101, 1383, 519, 1719, 4747, 11033, 616, 1219, 518, 1042, 2394, 15657, 267, 7551, 3850, 519, 1719, 547, 7623, 936, 519, 8066, 1974, 269, 769, 1109, 901, 568, 1634, 607, 7623, 1719, 269, 2422, 540, 8892, 10025, 269, 634, 2104, 1871, 4542, 1109, 1274, 985, 476, 278, 269, 276, 260, 1719, 267, 31903, 21496, 267, 543, 1100, 2417, 12074, 610, 11198, 338, 616, 1500, 267, 1018, 729, 634, 2104, 1871, 630, 293, 309, 3738, 540, 623, 9489, 693, 1719, 2557, 1775, 267, 562, 1296, 269, 3973, 1683, 606, 5993, 1719, 2557, 543, 519, 1297, 540, 3275, 596, 1131, 899, 547, 2015, 269, 4964, 595, 3201, 290, 8085, 12442, 543, 596, 3513, 1205, 1079, 2338, 281, 519, 2104, 1871, 540, 1109, 9947, 476, 736, 267, 476, 1001, 280, 1284, 666, 946, 519, 4082, 585, 2104, 1871, 538, 2013, 540, 2241, 1719, 547, 1719, 2557, 540, 476, 279, 269, 11463, 260, 31903, 10859, 268, 2335, 1302, 609, 15657, 1871, 692, 2162, 1677, 3313, 2104, 1871, 1210, 7623, 1719, 281, 14346, 568, 519, 1459, 1871, 267, 512, 568, 519, 1297, 540, 7623, 532, 5712, 630, 2254, 692, 15253, 15929, 1719, 1797, 1719, 593, 1719, 269, 3962, 942, 596, 7118, 1719, 593, 707, 9030, 267, 621, 568, 3773, 547, 519, 3312, 2179, 267, 799, 1287, 3587, 519, 1109, 8892, 1871, 281, 674, 309, 815, 22008, 263, 272, 1341, 678, 333, 1040, 15580, 540, 1719, 950, 674, 309, 568, 1634, 281, 678, 815, 674, 309, 14727, 309, 6567, 476, 272, 562, 269, 12910, 540, 15657, 950, 674, 309, 568, 1634, 281, 562, 815, 674, 309, 14727, 309, 6567, 3281, 895, 1719, 269, 8892, 1109, 4223, 12053, 1377, 267, 610, 1871, 267, 568, 519, 4502, 540, 606, 5092, 3354, 267, 1519, 513, 6125, 610, 3281, 895, 1719, 4386, 950, 1719, 934, 745, 532, 593, 513, 9030, 3666, 1109, 674, 309, 267, 835, 540, 519, 2883, 3252, 267, 21410, 519, 2104, 1871, 540, 606, 5092, 1759, 593, 513, 3586, 1719, 2557, 269, 1411, 666, 946, 674, 309, 609, 2901, 13350, 267, 3586, 692, 2162, 8892, 1871, 4542, 269, 634, 2596, 2104, 1871, 666, 581, 7229, 1210, 519, 4542, 281, 1141, 674, 309, 568, 519, 2104, 1871, 540, 519, 10697, 610, 5092, 267, 14346, 568, 519, 1459, 610, 3355, 1871, 630, 2254, 547, 581, 11821, 609, 14346, 799, 568, 7229, 23651, 689, 519, 674, 309, 1070, 678, 568, 519, 16316, 1719, 2557, 630, 2254, 31903, 267, 711, 6673, 312, 264, 538, 8918, 267, 512, 568, 519, 942, 538, 1296, 267, 543, 562, 568, 692, 300, 309, 568, 519, 4223, 12053, 10025, 282, 623, 568, 519, 9030, 2179, 282, 678, 568, 519, 2557, 540, 1719, 6004, 269, 589, 814, 16539, 538, 6378, 16005, 585, 476, 274, 1296, 543, 2094, 621, 781, 31903, 12422, 267, 646, 568, 540, 519, 2070, 602, 2344, 786, 979, 1524, 538, 4947, 2104, 543, 8754, 646, 6499, 547, 5231, 8892, 10025, 540, 11822, 9314, 543, 3281, 15903, 9314, 27148, 269, 1635, 281, 2549, 7701, 27517, 9807, 269, 2311, 4077, 31760, 8828, 2160, 267, 972, 568, 513, 1576, 1572, 13878, 295, 1109, 8734, 476, 1321, 267, 476, 1001, 280, 1403, 782, 540, 519, 1719, 568, 6976, 693, 15657, 267, 1142, 540, 519, 1719, 11033, 949, 581, 31903, 269, 1677, 5173, 519, 15657, 1871, 585, 891, 9541, 267, 1109, 634, 7623, 1719, 4542, 543, 1806, 1519, 4466, 2104, 1871, 267, 519, 2557, 267, 543, 519, 30945, 942, 540, 606, 5092, 269, 5463, 476, 1789, 267, 476, 1001, 280, 4223, 12053, 1871, 4016, 547, 519, 2698, 1871, 540, 606, 1719, 24481, 875, 1454, 1719, 547, 2628, 538, 519, 2104, 267, 543, 1114, 9541, 666, 7623, 1109, 1677, 3313, 2104, 1871, 1210, 7623, 1719, 281, 14346, 568, 519, 1459, 1871, 267, 512, 568, 519, 1297, 540, 7623, 532, 5712, 630, 2254, 692, 1012, 540, 1719, 543, 2557, 540, 10958, 267, 543, 519, 1459, 543, 2104, 2418, 540, 513, 2582, 8569, 269, 1280, 519, 7623, 29027, 1505, 267, 519, 19017, 2179, 936, 513, 1974, 540, 942, 568, 519, 9030, 585, 16270, 519, 15657, 540, 519, 10211, 267, 519, 3068, 1871, 568, 692, 11321, 476, 276, 267, 476, 1708, 271, 3281, 895, 1719, 568, 519, 10230, 1871, 602, 568, 7229, 593, 519, 3355, 9030, 543, 519, 19017, 1719, 540, 3105, 5712, 540, 513, 16005, 610, 1109, 9484, 476, 1240, 267, 476, 1001, 280, 3281, 895, 1719, 568, 519, 10230, 1871, 602, 568, 7229, 593, 519, 3355, 3281, 895, 9314, 815, 11192, 2179, 540, 25867, 543, 9314, 538, 2104, 630, 528, 547, 2333, 519, 1871, 540, 519, 6125, 865, 621, 10301, 922, 2407, 3902, 693, 15657, 269, 634, 7623, 1719, 4542, 31758, 585, 519, 2104, 1871, 540, 707, 5092, 630, 288, 1040, 634, 4632, 616, 281, 623, 1107, 519, 9030, 630, 1492, 2179, 540, 2724, 596, 1376, 609, 5148, 678, 1107, 519, 1109, 631, 309, 568, 519, 4223, 12053, 10025, 282, 623, 568, 519, 9030, 2179, 282, 678, 568, 519, 2557, 540, 1719, 6004, 269, 589, 814, 16539, 538, 6378, 16005, 585, 476, 274, 1296, 543, 2094, 621, 781, 31903, 12422, 267, 646, 568, 540, 519, 2070, 602, 2344, 786, 979, 1524, 538, 4947, 2104, 543, 8754, 646, 6499, 547, 692, 20225, 476, 1240, 267, 476, 1001, 280, 3281, 895, 1719, 568, 519, 10230, 1871, 602, 568, 7229, 593, 519, 3355, 3281, 895, 9314, 815, 11192, 2179, 540, 25867, 543, 9314, 538, 2104, 630, 528, 547, 2333, 519, 1871, 540, 519, 6125, 865, 621, 10301, 922, 2407, 3902, 693, 15657, 269, 0, 258, 5295, 692, 20175, 568, 519, 2557, 540, 3257, 960, 269, 2107, 454, 20175, 568, 519, 2557, 540, 4483, 540, 1648, 563, 9616, 281, 4518, 2944, 568, 519, 1482, 607, 1648, 11843, 780, 8489, 960, 2944, 284, 2690, 576, 6398, 20028, 692, 8489, 8406, 568, 519, 2597, 540, 519, 1560, 543, 554, 519, 4463, 563, 763, 590, 15660, 1770, 540, 1379, 568, 26910, 630, 310, 6393, 14240, 912, 288, 26910, 568, 519, 2557, 540, 4483, 540, 1648, 540, 835, 795, 537, 548, 829, 2034, 563, 7775, 898, 568, 519, 2557, 540, 3257, 960, 540, 476, 272, 329, 537, 548, 538, 835, 2034, 780, 7078, 476, 272, 912, 2304, 2599, 12651, 476, 736, 11899, 540, 1216, 998, 513, 4463, 540, 476, 2004, 332, 538, 476, 1015, 7643, 269, 12433, 519, 1379, 540, 519, 2599, 780, 11405, 1384, 7078, 476, 273, 912, 2304, 3167, 15941, 568, 15951, 476, 1911, 310, 269, 1215, 1454, 5122, 1648, 1281, 519, 15941, 8532, 538, 476, 273, 327, 2293, 780, 11405, 1384, 7078, 476, 274, 912, 288, 812, 3096, 606, 3167, 5179, 4171, 1379, 3977, 568, 476, 4968, 271, 310, 585, 476, 272, 327, 712, 269, 1403, 519, 5179, 27499, 476, 272, 269, 4510, 9943, 13040, 297, 540, 5201, 538, 602, 942, 267, 1265, 519, 4398, 540, 519, 5179, 780, 11405, 281, 0, 1012, 10789, 476, 273, 630, 272, 560, 9990, 2020, 2330, 344, 7807, 2765, 346, 274, 343, 268, 272, 2410, 1428, 28021, 18933, 26677, 519, 2609, 540, 519, 6389, 543, 519, 2039, 630, 514, 824, 1913, 267, 519, 8200, 543, 4830, 4632, 1070, 649, 1265, 602, 519, 11201, 568, 281, 3230, 343, 284, 276, 344, 10954, 2765, 346, 272, 2410, 274, 348, 8607, 586, 7807, 2765, 346, 274, 343, 268, 272, 2410, 1428, 6525, 0, 1012, 589, 576, 707, 1985, 1239, 2257, 5967, 692, 7476, 1732, 693, 1239, 2257, 11042, 676, 6061, 513, 1906, 2055, 829, 3018, 563, 18794, 5215, 540, 824, 1239, 3744, 543, 19767, 8026, 585, 11042, 2439, 1012, 1215, 621, 1568, 692, 272, 1284, 2328, 2055, 692, 7476, 4143, 1239, 2257, 5967, 2055, 4749, 4280, 693, 1283, 3549, 780, 273, 1411, 4194, 873, 692, 24169, 519, 1966, 1354, 8391, 519, 3070, 519, 1985, 6640, 780, 274, 1284, 6494, 596, 519, 3070, 692, 13425, 707, 960, 543, 1205, 1732, 693, 5967, 532, 2439, 1012, 12726, 2055, 692, 25456, 2243, 476, 272, 281, 18926, 1702, 692, 22428, 972, 616, 476, 1428, 1114, 2681, 22916, 976, 538, 513, 4216, 269, 3962, 942, 835, 3489, 338, 513, 22916, 517, 267, 621, 568, 8449, 2693, 547, 581, 1022, 540, 519, 476, 1428, 2010, 269, 30770, 519, 4397, 1948, 540, 1114, 4778, 602, 616, 5833, 538, 513, 1305, 540, 476, 276, 22916, 976, 269, 630, 295, 842, 281, 946, 13525, 4632, 543, 5276, 640, 540, 20772, 2020, 2171, 26246, 519, 22916, 976, 689, 476, 272, 547, 476, 1428, 269, 2913, 3230, 311, 10983, 2330, 5815, 950, 519, 476, 603, 22916, 517, 568, 1851, 519, 476, 276, 22916, 976, 5697, 780, 3383, 2676, 2330, 292, 11583, 10983, 264, 815, 2330, 2398, 2715, 23536, 1464, 602, 693, 2547, 835, 1826, 1775, 22916, 517, 568, 538, 1305, 540, 476, 276, 8679, 2330, 292, 11583, 10983, 264, 815, 2330, 476, 272, 910, 2398, 2715, 7224, 1826, 1775, 22916, 976, 538, 1305, 540, 476, 276, 8679, 2330, 292, 11583, 10983, 264, 815, 476, 272, 910, 1422, 2765, 346, 1691, 2410, 1428, 11892, 276, 315, 9681, 11997, 267, 519, 4397, 1948, 540, 22916, 976, 568, 1384, 2330, 284, 1422, 8999, 3709, 328, 284, 272, 8703, 1428, 348, 661, 11583, 10983, 14638, 454, 2330, 284, 476, 1428, 314, 272, 910, 1422, 2765, 346, 1691, 2410, 1428, 11892, 276, 316, 16465, 2330, 284, 476, 275, 269, 4343, 9681, 25456, 2243, 476, 273, 281, 32017, 270, 28669, 566, 692, 22428, 596, 723, 513, 1239, 18134, 267, 17093, 267, 609, 519, 1739, 5638, 1384, 271, 476, 736, 4544, 476, 6434, 4024, 731, 24261, 454, 272, 476, 866, 4544, 476, 10844, 1325, 20388, 902, 454, 273, 476, 2420, 5835, 476, 4817, 744, 3405, 631, 1638, 1231, 454, 274, 476, 2641, 3039, 476, 3583, 1975, 27247, 22413, 534, 1408, 692, 763, 1239, 18134, 568, 6029, 1344, 827, 1053, 269, 3503, 3009, 1210, 5124, 17455, 553, 547, 2824, 519, 9343, 1141, 519, 1053, 262, 5172, 2681, 568, 4544, 610, 5835, 543, 741, 3446, 568, 693, 2547, 476, 3445, 780, 258, 31711, 938, 5044, 540, 3077, 4778, 454, 325, 822, 318, 10233, 6958, 559, 614, 815, 18358, 19990, 3299, 1412, 344, 3641, 262, 6540, 258, 2414, 2824, 9343, 4171, 6241, 1871, 568, 538, 606, 12055, 762, 5044, 267, 799, 649, 3989, 607, 7957, 318, 10233, 6958, 559, 614, 267, 649, 666, 946, 568, 514, 454, 4206, 815, 17093, 7456, 665, 314, 4206, 9131, 325, 2948, 924, 318, 10233, 262, 4940, 529, 514, 6600, 822, 318, 10233, 6958, 559, 614, 264, 6540, 258, 10113, 267, 649, 991, 547, 6882, 593, 8464, 1657, 476, 3445, 269, 1934, 649, 666, 946, 1327, 593, 938, 1239, 18134, 1384, 258, 2181, 1613, 519, 1239, 18134, 7531, 4910, 738, 656, 1239, 18134, 1384, 272, 476, 866, 4544, 476, 10844, 1325, 20388, 902, 454, 273, 476, 2420 ]

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

[ 568, 1759, 593, 7857, 1242, 1239, 270, 15574, 267, 799, 814, 7930, 8719, 1957, 2861, 5638, 269, 634, 4950, 568, 849, 1818, 8101, 538, 30030, 538, 3461, 1416, 543, 23425, 540, 1072, 1416, 1344, 269, 898, 568, 4657, 519, 1259, 1072, 9443, 4648, 3489, 1344, 269, 1358, 946, 519, 4950, 543, 5907, 2200, 547, 798, 1919, 899, 17034, 2564, 5638, 267, 3246, 6552, 3461, 1416, 998, 7658, 25924, 6703, 267, 543, 17034, 1072, 1416, 3332, 269, 6925, 568, 1851, 1082, 824, 9443, 267, 606, 1858, 538, 799, 519, 7269, 540, 1344, 568, 11999, 543, 799, 568, 9691, 8200, 593, 909, 547, 4266, 1344, 269, 1452, 2188, 723, 6766, 519, 6388, 540, 1966, 1759, 1565, 1935, 538, 519, 2564, 2069, 269, 26597, 3406, 2645, 616, 2139, 547, 12398, 3617, 2959, 543, 1510, 891, 3406, 2645, 267, 519, 4960, 540, 4466, 4143, 1344, 593, 519, 5680, 1131, 581, 28489, 269, 4634, 609, 519, 948, 540, 3406, 2645, 267, 3755, 1590, 581, 2111, 547, 946, 10427, 10478, 2553, 543, 2994, 540, 9757, 3406, 2645, 538, 1931, 547, 1265, 4143, 1344, 269, 11778, 540, 519, 1459, 1353, 1397, 602, 1447, 982, 476, 273, 3108, 540, 1569, 547, 4950, 3217, 519, 1101, 1931, 8989, 1851, 519, 2564, 4648, 540, 20474, 24385, 340, 269, 476, 273, 268, 274, 3108, 540, 1569, 547, 4950, 519, 2034, 267, 476, 274, 268, 275, 3108, 540, 1569, 547, 4950, 519, 3791, 267, 476, 275, 268, 276, 3108, 540, 1569, 547, 4950, 519, 8772, 543, 1657, 476, 276, 3108, 540, 1569, 547, 4950, 519, 2063, 269, 5530, 8761, 602, 17013, 723, 1164, 2042, 538, 17034, 552, 9113, 1545, 538, 2474, 540, 3644, 267, 7411, 538, 1210, 3059, 2200, 1813, 547, 3668, 540, 8668, 1702, 543, 3908, 1569, 547, 5904, 269, 634, 17013, 723, 9793, 2042, 538, 17034, 4143, 1344, 543, 2921, 1279, 942, 547, 2070, 269, 634, 17013, 723, 2547, 2042, 2509, 3500, 10333, 267, 3668, 540, 942, 543, 1932, 1454, 1344, 27366, 563, 21357, 28968, 267, 5769, 267, 661, 9113, 1545, 267, 9612, 1621, 1149, 267, 661, 18191, 16067, 267, 6481, 4578, 645, 1162, 267, 14871, 4065, 267, 11711, 18734, 16257, 630, 293, 9143, 1916, 268, 1703, 616, 4867, 1100, 1201, 10587, 269, 0, 763, 3864, 5742, 3340, 9755, 547, 6338, 513, 2039, 540, 3106, 9283, 593, 782, 1007, 6517, 547, 2149, 19516, 20379, 538, 519, 2680, 540, 513, 16580, 609, 513, 1286, 269, 808, 16331, 541, 543, 8585, 1027, 525, 5174, 20044, 616, 519, 1101, 547, 6338, 1007, 6517, 609, 2934, 602, 16783, 609, 891, 4441, 269, 769, 3567, 267, 670, 25352, 814, 2919, 519, 1158, 779, 1101, 27576, 2011, 321, 698, 563, 297, 16331, 541, 779, 782, 20642, 2473, 298, 5026, 1286, 267, 799, 4422, 593, 9042, 538, 2038, 476, 1220, 277, 267, 2934, 519, 12877, 4710, 1013, 545, 16677, 652, 6929, 1546, 1943, 762, 12844, 6339, 3590, 269, 901, 4359, 15392, 1062, 666, 10646, 1063, 1114, 2010, 540, 28882, 5222, 269, 3973, 538, 519, 2013, 540, 513, 31355, 1764, 267, 519, 26372, 8850, 2048, 335, 3591, 685, 909, 513, 1906, 6279, 547, 1711, 513, 31289, 532, 1198, 1063, 519, 2599, 543, 519, 26372, 269, 901, 2337, 547, 20586, 519, 31355, 689, 2182, 3334, 538, 519, 2599, 26654, 269, 901, 782, 4523, 538, 1447, 982, 513, 20870, 540, 519, 942, 621, 3217, 547, 1025, 1074, 606, 3750, 267, 476, 1789, 1984, 1047, 6948, 267, 1210, 4229, 909, 547, 476, 2004, 2053, 519, 3196, 540, 8904, 547, 12740, 519, 476, 2004, 1790, 895, 26372, 563, 763, 4359, 15392, 1062, 267, 15841, 538, 519, 4395, 536, 32658, 267, 666, 5806, 3729, 1063, 513, 31355, 16580, 543, 1022, 824, 2009, 4395, 15134, 21611, 269, 634, 808, 16331, 541, 1062, 7363, 13333, 693, 6174, 11250, 1141, 621, 2488, 519, 1034, 4324, 543, 568, 8850, 16981, 3544, 540, 713, 3432, 2039, 269, 898, 568, 4625, 5094, 689, 1022, 824, 16154, 4027, 1062, 593, 519, 6174, 1519, 2011, 321, 4711, 269, 634, 1007, 2473, 298, 849, 814, 513, 12809, 536, 32658, 1062, 547, 2569, 1850, 5945, 998, 519, 946, 540, 24807, 762, 17371, 543, 5068, 8720, 563, 30560, 1027, 525, 5174, 20044, 267, 513, 1279, 942, 22082, 538, 2029, 547, 2149, 19516, 20379, 267, 814, 3144, 513, 811, 12809, 1935, 547, 6061, 519, 1482, 1966, 269, 634, 9207, 728, 540, 519, 26372, 593, 519, 1007, 590, 4211, 20199, 6822, 534, 814, 1044, 2966, 585, 23553, 22636, 543, 1764, 20589, 10338, 538, 513, 16580, 609, 513, 31355, 269, 589, 834, 344, 1752, 532, 257, 554, 16636, 7028, 519, 22636, 540, 519, 26372, 543, 849, 2337, 547, 2569, 7063, 547, 19516, 20379, 607, 1134, 607, 13770, 743, 1235, 543, 5179, 7094, 1235, 269, 634, 4395, 535, 11367, 616, 7923, 547, 519, 5580, 19976, 2818, 676, 513, 2027, 21338, 3693, 609, 10502, 7229, 6551, 7190, 4162, 269, 898, 568, 23553, 547, 2285, 1259, 538, 519, 2680, 540, 606, 1764, 563, 763, 22636, 2230, 1063, 519, 26372, 543, 519, 2599, 3334, 9944, 621, 910, 606, 1271, 3815, 538, 10913, 1141, 972, 568, 3346, 1063, 519, 31355, 781, 2212, 543, 519, 13755, 6339, 910, 814, 1044, 2799, 538, 1079, 2081, 269, 3689, 267, 519, 4395, 3296, 568, 930, 476, 2420, 28935, 2362, 982, 538, 519, 3105, 2203, 269, 19627, 267, 519, 2599, 267, 8710, 268, 25388, 828, 20610, 267, 23854, 543, 1852, 10591, 723, 1044, 4092, 909, 547, 476, 1724, 28935, 2539, 269, 634, 8585, 1027, 525, 8030, 723, 849, 4389, 519, 2949, 4463, 540, 519, 12798, 10547, 2914, 23803, 1062, 267, 7551, 2810, 519, 22636, 2230, 269, 634, 4395, 536, 32658, 814, 513, 23574, 267, 17371, 23752, 24401, 8814, 6316, 547, 2327, 2038, 543, 1256, 1489, 538, 513, 16580, 563, 295, 25352, 814, 2919, 519, 1158, 779, 1101, 2504, 27576, 2011, 321, 698, 1062, 543, 786, 2709, 621, 593, 519, 1007, 7108, 30733, 27576, 16516, 979, 593, 9042, 538, 3735, 5614, 476, 1220, 277, 269, 634, 1007, 1062, 666, 948, 24390, 519, 10335, 540, 7063, 3361, 676, 28882, 21611, 563, 763, 16359, 12860, 5794, 321, 698, 3590, 779, 2011, 321, 698, 9074, 267, 5627, 519, 2011, 321, 698, 543, 4870, 1807, 267, 568, 4092, 538, 4395, 540, 519, 31115, 269, 634, 2011, 321, 698, 4870, 1807, 11392, 606, 5907, 5365, 10299, 676, 519, 2011, 321, 698, 10566, 308, 630, 19491, 3055, 1852, 1770, 264, 4051, 532, 621, 547, 5305, 9436, 3154, 547, 4870, 622, 519, 2011, 321, 698, 269, 9050, 16154, 8596, 7923, 593, 1312, 5011, 540, 519, 4395, 23643, 267, 1079, 593, 2901, 2427, 267, 3713, 2242, 538, 10231, 1282, 28882, 5222, 269, 634, 10566, 308, 15824, 9273, 267, 9236, 713, 1239, 547, 3044, 27576, 2623, 267, 547, 14678, 3313, 950, 513, 16580, 568, 9648, 543, 2436, 610, 711, 621, 568, 2556, 547, 4870, 622, 519, 2011, 321, 698, 269, 769, 4148, 908, 6385, 1310, 519, 1764, 267, 519, 2011, 321, 698, 666, 10110, 930, 540, 519, 4464, 1648, 540, 519, 31115, 267, 4227, 519, 6991, 693, 799, 519, 31115, 949, 581, 16207, 689, 519, 27576, 543, 4543, 24390, 519, 10335, 540, 7063, 3361, 676, 519, 31115, 2458, 4575, 609, 1776, 6174, 610, 609, 519, 4155, 269, 0, 6110, 13012, 540, 634, 14472, 26338, 1484, 454, 8005, 616, 519, 14472, 545, 745, 857, 753, 286, 1548, 26328, 873, 286, 1432, 568, 621, 602, 814, 6273, 519, 14472, 545, 745, 857, 753, 286, 10801, 519, 2063, 1906, 5553, 267, 723, 789, 1044, 25868, 676, 606, 2856, 286, 589, 6138, 286, 589, 3909, 3350, 286, 589, 1259, 540, 1272, 286, 1411, 1223, 2161, 602, 519, 3844, 14472, 545, 745, 857, 534, 2219, 267, 2348, 4503, 9039, 540, 922, 1379, 543, 14496, 267, 568, 606, 9029, 547, 782, 1480, 7919, 281, 2048, 1862, 10048, 267, 798, 6038, 1174, 707, 1378, 28665, 543, 4502, 267, 543, 1946, 596, 616, 1572, 2890, 6523, 332, 267, 543, 875, 2484, 707, 1702, 540, 7186, 11498, 19028, 301, 984, 30276, 543, 29247, 2099, 519, 30493, 547, 799, 1169, 1480, 1373, 568, 1572, 676, 16495, 540, 741, 5888, 543, 5169, 1107, 875, 789, 616, 2111, 547, 2981, 883, 519, 2696, 15515, 902, 789, 9247, 616, 269, 634, 1657, 10839, 568, 513, 23650, 689, 513, 2143, 543, 9583, 12357, 8915, 334, 689, 513, 7361, 7164, 7015, 3125, 269, 1809, 930, 1353, 2982, 721, 513, 9670, 3950, 538, 942, 540, 1004, 945, 941, 5532, 609, 519, 14472, 26338, 1484, 547, 513, 3152, 610, 14758, 6708, 267, 971, 607, 3744, 267, 5830, 267, 5159, 267, 7189, 267, 15806, 543, 1869, 1866, 945, 941, 1447, 538, 519, 1857, 3750, 267, 1004, 538, 2486, 563, 763, 2012, 14472, 26338, 1484, 666, 581, 14360, 1394, 547, 519, 29564, 540, 519, 14472, 26338, 1484, 945, 5030, 538, 5125, 1472, 476, 14065, 275, 269, 1717, 267, 14472, 26338, 1484, 568, 711, 513, 2012, 540, 513, 1895, 610, 513, 3350, 267, 2864, 621, 4016, 547, 519, 4162, 540, 1480, 7919, 945, 616, 3168, 585, 602, 1390, 9814, 609, 799, 789, 616, 21947, 281, 547, 3605, 1946, 789, 616, 1572, 2890, 6523, 332, 267, 547, 3605, 519, 4276, 1063, 519, 1507, 543, 519, 1804, 267, 1063, 519, 1657, 543, 519, 2630, 267, 1063, 519, 3330, 543, 519, 3544, 4429, 4322, 2055, 666, 581, 14360, 1394, 538, 942, 267, 585, 1383, 547, 3504, 5527, 543, 519, 19555, 2045, 7326, 269, 769, 519, 824, 4287, 2059, 519, 15415, 267, 1318, 909, 2394, 2221, 267, 972, 616, 14472, 545, 745, 857, 753, 945, 267, 1310, 968, 30161, 1681, 519, 2470, 543, 875, 2484, 519, 1702, 540, 812, 11498, 538, 621, 2223, 723, 8399, 539, 547, 4019, 519, 4031, 267, 519, 9059, 543, 519, 1148, 602, 789, 723, 4121, 543, 6444, 269, 14472, 545, 745, 857, 753, 616, 4061, 1419, 2404, 609, 620, 17057, 1235, 267, 7722, 538, 5663, 519, 12357, 14544, 779, 6149, 610, 538, 519, 1818, 540, 4154, 563, 763, 9059, 540, 519, 14472, 26338, 1484, 267, 2705, 267, 6013, 593, 606, 7357, 1114, 7077, 269, 4014, 1759, 593, 1702, 540, 1480, 7919, 1107, 938, 2078, 609, 2470, 267, 938, 1747, 538, 5137, 543, 938, 2078, 547, 519, 2707, 540, 782, 713, 267, 519, 2353, 6363, 1430, 5336, 1278, 610, 2696, 1107, 713, 9059, 5555, 9388, 609, 7004, 281, 7004, 540, 519, 2539, 883, 519, 2362, 267, 519, 3618, 569, 1373, 883, 519, 2890, 6523, 6193, 1373, 267, 543, 2713, 538, 519, 782, 17907, 28685, 566, 538, 513, 18512, 4276, 1063, 1480, 1373, 543, 2696, 563, 763, 2495, 3297, 519, 2165, 14472, 26338, 1484, 568, 1140, 2286, 519, 9782, 547, 519, 3444, 269, 898, 568, 13031, 519, 9782, 267, 519, 2362, 9759, 799, 6013, 6456, 538, 519, 1480, 1373, 267, 538, 938, 1378, 2729, 269, 898, 568, 519, 1184, 540, 7004, 269, 4475, 267, 4896, 945, 1281, 713, 949, 581, 1572, 513, 14472, 545, 745, 857, 534, 563, 763, 19656, 3125, 540, 519, 14472, 26338, 1484, 666, 581, 2938, 1312, 607, 519, 1065, 13024, 543, 849, 607, 2713, 1806, 540, 519, 7004, 789, 723, 13736, 267, 6594, 543, 4330, 538, 1469, 538, 602, 9583, 538, 1260, 11772, 1043, 610, 12572, 1893, 269, 1358, 1500, 513, 2178, 9029, 547, 18495, 547, 12446, 693, 6616, 741, 1378, 1373, 543, 2832, 269, 18838, 1524, 538, 519, 674, 4821, 2605, 15715, 527, 15384, 267, 519, 674, 877, 610, 11910, 540, 519, 14472, 545, 745, 857, 534, 19656, 3125, 267, 543, 538, 519, 1650, 634, 1325, 23755, 11205, 3429, 540, 4168, 14472, 26338, 1484, 267, 649, 1294, 519, 4542, 267, 519, 6609, 540, 513, 1480, 1373, 945, 814, 3323, 547, 960, 593, 519, 1390, 7004, 267, 519, 620, 23755, 16806, 563, 1103, 713, 28740, 11905, 1576, 649, 1616, 547, 1353, 713, 1927, 267, 543, 4308, 609, 2055, 899, 912, 268, 1548, 568, 865, 2027, 827, 519, 5048, 540, 519, 14472, 545, 745, 857, 753, 888, 268, 2201, 1018, 798, 789, 3490, 741, 10752, 888, 268, 1548, 568, 519, 1184, 540, 4742, 513, 14472, 545, 745, 857, 534, 888, 268, 1548, 5949, 1310, 519, 1289, 540, 519, 29564, 7902, 538, 476, 14065, 275, 888, 268, 1215, 1705, 519, 8142, 11457, 689, 1287, 2394, 2221, 888, 268, 1656, 267, 1223, 621, 581, 602, 594, 2965, 993, 513, 2048, 305, 657, 545, 745, 857, 534, 685, 8885, 888, 1607, 476, 1015, 3018, 1576, 786, 581, 1930, 585, 27350, 519, 2898, 1032, 476, 1001, 279, 563, 2252, 596, 616, 5461, 267, 596, 666, 1129, 909, 1631, 676, 11488, 606, 4757, 547, 912, 2171, 4126, 621, 786, 581, 2009, 585, 596, 547, 6443, 721, 543, 1413 ]

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

[ 547, 2270, 519, 3262, 593, 10862, 269, 0, 763, 800, 543, 23397, 10241, 540, 10724, 4804, 454, 297, 5622, 8210, 267, 631, 1263, 630, 539, 3218, 994, 313, 17924, 267, 962, 328, 630, 539, 3218, 994, 10214, 2094, 5904, 941, 11827, 267, 1082, 3173, 723, 1044, 3843, 547, 1174, 875, 1480, 7919, 1451, 543, 1082, 4277, 26336, 543, 4485, 2509, 900, 6819, 1480, 1565, 5759, 723, 1044, 6069, 269, 634, 2702, 540, 1565, 568, 835, 540, 519, 3844, 2934, 540, 1480, 4987, 267, 799, 2306, 621, 606, 1271, 12146, 538, 1312, 2757, 14464, 11106, 630, 9590, 264, 543, 6932, 15465, 3163, 269, 10724, 4804, 630, 7876, 264, 14405, 2390, 2093, 689, 513, 3309, 1305, 540, 10459, 267, 1519, 3642, 267, 17438, 543, 10803, 267, 32492, 29203, 267, 6176, 7869, 267, 10017, 543, 11671, 321, 5735, 267, 6513, 7869, 543, 13898, 269, 16066, 3322, 3376, 3584, 1519, 17540, 21424, 20603, 267, 22532, 17978, 630, 13585, 338, 1070, 12472, 776, 27122, 630, 292, 2026, 1070, 17438, 543, 10803, 267, 17423, 19029, 267, 3092, 269, 7464, 8996, 3156, 540, 16066, 616, 7839, 971, 607, 23694, 23779, 267, 4578, 14086, 267, 717, 5446, 267, 12713, 1606, 7220, 267, 17791, 20664, 267, 6513, 543, 29790, 3156, 269, 901, 2835, 5359, 519, 5767, 7835, 543, 13777, 22618, 3466, 538, 16066, 563, 26397, 4266, 543, 1747, 1220, 280, 0, 8505, 1143, 543, 875, 616, 519, 2589, 6766, 888, 8505, 1143, 568, 711, 513, 16220, 22041, 9659, 602, 786, 3251, 6378, 538, 513, 1126, 779, 1560, 585, 519, 1964, 540, 1010, 610, 1200, 1272, 269, 4197, 519, 2188, 12018, 519, 2589, 540, 20150, 666, 581, 6913, 676, 9878, 3007, 547, 543, 10916, 519, 1604, 4478, 543, 1354, 10913, 538, 513, 1114, 1259, 269, 11576, 800, 9397, 786, 4217, 707, 1126, 538, 1201, 1371, 532, 543, 1036, 29470, 563, 8993, 1005, 856, 707, 1126, 779, 2115, 454, 2467, 779, 513, 2603, 540, 3332, 883, 875, 1004, 609, 10295, 3668, 513, 865, 10777, 3069, 540, 2247, 267, 799, 1797, 789, 1810, 1406, 8275, 596, 2461, 513, 1114, 1268, 609, 1114, 2115, 982, 789, 798, 269, 2334, 949, 581, 4570, 267, 855, 3610, 267, 3237, 267, 543, 4966, 1419, 3668, 606, 1620, 540, 1018, 814, 2097, 547, 581, 1634, 607, 519, 1126, 779, 3069, 540, 14815, 543, 8226, 563, 2791, 1810, 1406, 1174, 1946, 513, 31300, 1359, 1769, 15941, 16716, 1200, 899, 513, 30021, 540, 17500, 543, 1018, 7506, 621, 547, 957, 865, 267, 543, 513, 7450, 10428, 30366, 4992, 899, 513, 8536, 5939, 30518, 269, 1411, 1810, 1406, 1174, 1946, 513, 4819, 814, 547, 7148, 1010, 3723, 543, 838, 11781, 1472, 519, 4928, 547, 2057, 9991, 856, 540, 1010, 11381, 269, 1656, 596, 1810, 1406, 8275, 602, 18506, 267, 1317, 540, 922, 5347, 9403, 267, 1522, 581, 835, 540, 519, 1152, 3536, 602, 1810, 1406, 1118, 707, 8250, 779, 5023, 1745, 899, 621, 779, 2407, 540, 890, 6277, 956, 563, 7312, 1126, 568, 2693, 2348, 607, 1454, 8373, 4466, 856, 707, 2115, 607, 596, 616, 609, 1200, 338, 269, 2701, 949, 711, 917, 602, 596, 2461, 2348, 513, 11315, 1554, 267, 865, 2119, 547, 581, 1447, 991, 344, 2221, 269, 4595, 646, 666, 1406, 1224, 707, 30627, 10291, 267, 646, 949, 2911, 538, 947, 14688, 563, 15507, 585, 519, 6456, 2495, 454, 6624, 540, 707, 1126, 779, 6411, 666, 3100, 547, 581, 2192, 16479, 9789, 344, 1810, 1406, 3100, 547, 4196, 1022, 1880, 2601, 269, 2659, 4819, 267, 593, 519, 824, 1688, 267, 1281, 711, 1159, 792, 31997, 782, 936, 519, 6821, 593, 3483, 547, 1118, 596, 649, 788, 610, 13347, 269, 27539, 585, 513, 4090, 602, 707, 1126, 568, 11488, 596, 27573, 6835, 827, 1919, 602, 616, 1271, 547, 1864, 267, 543, 707, 4305, 568, 547, 11523, 519, 3009, 865, 596, 666, 968, 1348, 892, 519, 6835, 563, 2791, 949, 581, 2111, 547, 6952, 4191, 596, 4769, 1406, 1294, 1354, 543, 1265, 513, 811, 3811, 1259, 547, 1489, 707, 1126, 952, 596, 2628, 3007, 547, 891, 6411, 8335, 269, 14171, 713, 1935, 786, 849, 948, 596, 4431, 811, 24617, 547, 891, 968, 629, 7538, 892, 6208, 267, 2495, 602, 596, 1810, 1406, 7938, 9231, 569, 28511, 873, 676, 14785, 707, 1126, 585, 3527, 602, 8886, 622, 596, 563, 21156, 540, 7487, 519, 2623, 607, 968, 17463, 2223, 2015, 875, 519, 2796, 267, 610, 1604, 267, 568, 856, 540, 1899, 609, 707, 1126, 779, 2115, 543, 1018, 596, 666, 798, 547, 2232, 621, 563, 2750, 4156, 7025, 11790, 454, 5278, 2609, 540, 707, 1126, 779, 1272, 666, 581, 9168, 267, 1247, 1866, 3112, 269, 589, 1134, 10784, 1549, 539, 2962, 267, 971, 607, 513, 4116, 1402, 4771, 513, 17711, 538, 707, 8250, 779, 5023, 547, 1832, 1200, 9602, 267, 538, 30541, 1836, 14785, 1200, 585, 1373, 26776, 538, 1362, 267, 6148, 519, 3597, 540, 519, 3390, 563, 8993, 1005, 856, 1018, 519, 3390, 568, 949, 1419, 581, 2614, 547, 1205, 596, 547, 1491, 2962, 269, 2659, 21067, 786, 1869, 1118, 23832, 21089, 267, 855, 952, 596, 5469, 602, 621, 568, 23892, 707, 6217, 27780, 8529, 5067, 267, 596, 666, 4217, 1864, 538, 4259, 909, 513, 9602, 1353, 1858, 563, 2791, 949, 5469, 513, 15739, 32735, 538, 1018, 568, 4397, 540, 707, 1126, 543, 1018, 646, 1315, 9917, 568, 5827, 540, 454, 268, 11576, 800, 14242, 454, 2252, 707, 1126, 568, 16397, 676, 1932, 1454, 10444, 3403, 267, 646, 666, 957, 856, 3186, 1192, 1947, 269, 13343, 3240, 568, 513, 16805, 1762, 812, 609, 513, 2178, 7287, 547, 1451, 269, 1261, 1281, 267, 2705, 267, 723, 513, 1362, 22940, 945, 1835, 625, 585, 3108, 1169, 1554, 269, 13343, 3240, 568, 9141, 936, 519, 6316, 676, 519, 3280, 543, 3929, 2597, 540, 519, 649, 9429, 267, 1818, 621, 7543, 585, 1864, 547, 1445, 543, 1174, 269, 3571, 3993, 814, 8068, 713, 543, 568, 12394, 547, 1747, 1864, 538, 513, 1447, 26688, 4928, 563, 268, 4317, 12153, 454, 28646, 707, 8250, 814, 7691, 1352, 3085, 1406, 723, 1022, 2828, 267, 865, 12424, 568, 2523, 2352, 585, 1200, 269, 898, 779, 2009, 602, 6158, 547, 1200, 4116, 543, 1256, 1200, 9905, 1131, 948, 269, 15681, 873, 827, 707, 8250, 779, 4145, 543, 2307, 585, 741, 6351, 269, 5753, 949, 581, 1611, 547, 835, 1776, 267, 855, 789, 666, 849, 581, 1360, 12001, 543, 16561, 540, 835, 1776, 269, 5269, 606, 4674, 547, 1921, 609, 741, 1732, 562, 2137, 269, 5213, 1406, 8263, 789, 3580, 917, 875, 547, 1521, 707, 1126, 282, 3079, 267, 4001, 873, 267, 543, 596, 949, 581, 14281, 693, 875, 11215, 1200, 9905, 1831, 454, 268, 9442, 2042, 454, 22818, 707, 5067, 568, 13347, 1317, 646, 568, 8572, 547, 5968, 1765, 32355, 827, 519, 11213, 17406, 538, 1010, 11563, 610, 519, 2243, 646, 6499, 547, 2626, 593, 519, 3109, 4580, 269, 5502, 540, 6158, 267, 596, 1522, 946, 2592, 267, 1129, 1893, 267, 610, 513, 13691, 269, 15331, 566, 543, 513, 1390, 4116, 786, 1118, 782, 519, 3017, 538, 713, 3510, 563, 22818, 707, 1126, 568, 19252, 1317, 519, 4116, 610, 519, 1641, 2339, 3884, 1406, 4277, 269, 1403, 707, 5067, 779, 9251, 1362, 568, 4974, 17878, 713, 1032, 543, 646, 779, 27278, 676, 6191, 267, 519, 14357, 949, 581, 2111, 547, 27464, 519, 4901, 538, 1010, 4287, 676, 7836, 930, 1362, 942, 7713, 519, 6191, 1031, 547, 1382, 17878, 610, 2007, 909, 741, 7633, 563, 1103, 4156, 7025, 11790, 454, 2791, 786, 723, 547, 13404, 593, 519, 1739, 2798, 1247, 21264, 532, 519, 12153, 540, 10295, 563, 306, 1545, 540, 1928, 912, 2750, 8533, 519, 4522, 267, 17406, 267, 8937, 267, 7745, 7633, 267, 11912, 543, 10943, 26262, 267, 16398, 267, 26252, 525, 267, 838, 23230, 267, 543, 20015, 2478, 585, 1022, 1761, 3123, 540, 1928, 269, 7102, 3527, 602, 3100, 547, 581, 22297, 949, 581, 513, 1129, 540, 1928, 269, 1403, 646, 27422, 547, 1694, 1225, 1194, 909, 538, 513, 3440, 610, 546, 1905, 525, 1010, 7181, 936, 519, 6186, 540, 519, 865, 17304, 267, 1010, 7181, 949, 581, 9292, 1154, 563, 5278, 3527, 267, 3226, 1346, 602, 3100, 9490, 267, 29267, 582, 17300, 267, 23589, 267, 610, 856, 540, 24076, 267, 6148, 519, 1267, 540, 17465, 269, 1403, 596, 2461, 14126, 267, 1832, 513, 2312, 2594, 540, 1018, 596, 1294, 267, 2307, 707, 1126, 779, 3610, 543, 16293, 952, 789, 4076, 2938, 4376, 2147, 267, 543, 2911, 547, 707, 4387, 827, 621, 563, 15933, 11959, 543, 22740, 8481, 912, 26368, 1022, 1426, 11959, 610, 22740, 8481, 602, 707, 1126, 949, 581, 7680, 269, 4144, 1551, 9996, 1369, 513, 1906, 3108, 540, 10438, 513, 1808, 1426, 267, 607, 1134, 607, 2699, 267, 1166, 19813, 1750, 4060, 610, 10772, 267, 949, 782, 581, 10832, 540, 606, 14711, 269, 1879, 3237, 23868, 971, 3688, 689, 741, 1126, 779, 2732, 267, 1082, 3237, 3409, 602, 741, 1126, 779, 1166, 6260, 610, 16625, 2238, 14897, 269, 1323, 17594, 2732, 786, 7866, 2436, 610, 711, 1346, 3536, 2014, 9636, 610, 12150, 5615, 563, 293, 520, 8982, 267, 14000, 267, 610, 19818, 912, 7312, 1126, 949, 1831, 8886, 762, 952, 646, 610, 1352, 568, 17237, 267, 13110, 267, 610, 19818, 344, 267, 1175, 899, 3025, 3116, 269, 1133, 639, 783, 2623, 949, 581, 6045, 676, 513, 3668, 540, 3207, 610, 513, 4411, 269, 4173, 29338, 949, 581, 3361, 676, 513, 5312, 2068, 610, 513, 1970, 17263, 3968, 269, 1403, 707, 1126, 814, 513, 4356, 540, 1373, 1835, 1678, 344, 693, 1978, 2053, 540, 519, 1554, 267, 1294, 952, 5356, 513, 20105, 540, 4829, 693, 602, 942, 2306, 513, 3017, 563, 305, 720, 267, 4965, 267, 4250, 267, 543, 4160, 949, 782, 1860, 835, 779, 3527, 269, 14268, 945, 616, 2469, 998, 513, 16028, 267, 513, 1072, 29057, 267, 513, 960, 1689, 267, 610, 513, 4483, 949, 3494, 602, 3388, 568, 5386, 543, 602, 741, 1126, 814, 1100, 2601, 547, 581, 14126, 269, 1809, 952, 596, 2461, 7255, 827, 4376, 267, 8458, 616, 707, 1126, 568, 267, 1932, 1765, 18034, 952, 646, 3085, 1406, 723, 519, 1379, 547, 798, 1945, 827, 621, 610, 1256, 2769, 1010, 4145, 563, 29590, 543, 8965, 4713, 949, 581, 28978, 676, 513, 3668, 540, 11558, 269, 6103, 1153, 15547, 1362, 666, 581, 11566, 267, 607, 4896, 945, 814, 2479, 1044, 5697, 2063, 610, 2282, 2063, 585, 513, 2319, 6487, 269, 634, 3908, 6066, 21248, 585, 9376, 518, 4055, 2242, 610, 19880, 9397, 666, 1039, 513, 2603, 540, 8082, 952, 707, 1126, 814, 8373, 3768, 21749, 16181, 610, 1990, 26802, 269, 32468, 11868, 513, 14095, 23725, 528, 1063, 5049, 666, 581, 11566, 952, 596, 3802, 26101, 569, 563, 1805, 8494, 1436, 267, 7939, 267, 543, 10444, 14443, 687, 454, 5629, 596, 723, 9619, 707, 1126, 779, 2168, 2115, 267, 621, 779, 942, 547, 2015, 10444, 543, 3929, 7939, 269, 2659, 1126, 779, 10444, 2833, 616, 4440, 1360, 1114, 689, 707, 1378, 269, 2701, 568, 2693, 3362, 16397, 676, 1344, 4947, 538, 998, 930, 12823, 267, 5310, 13347, 676, 10978, 21089, 267, 543, 3884, 1406, 3478, 2614, 3403, 689, 519, 12823, 3743, 585, 1582, 18221, 543, 7939, 563, 1103, 1153, 267, 596, 4121, 827, 2947, 12823, 281, 6492, 267, 9329, 267, 3280, 267, 8289, 267, 543, 5905, 269, 5565, 811, 12823, 616, 1271, 547, 1174, 707, 1126, 281, 519, 22514, 24212, 2631, 267, 799, 8060, 3666, 267, 543, 16885, 334, 4003, 267, 610, 519, 2631, 540, 835, 779, 1560, 538, 2230, 269, 769, 1082, 1004, 609, 10295, 267, 930, 540, 519, 1344, 689, 891, 12823, 568, 1932, 1454, 267, 1932, 2370, 267, 610, 25302, 267, 3056, 547, 4606, 540, 9810, 267, 1928, 267, 610, 771, 1263, 1771, 563, 2414, 7753, 519, 10539, 267, 707, 1126, 2115, 948, 11689, 1944, 1010, 12823, 269, 8191, 7225, 344, 7736, 578, 267, 606, 2937, 609, 10295, 267, 15565, 10444, 9397, 1765, 332, 558, 757, 1282, 519, 1554, 950, 707, 1126, 666, 6445, 10444, 2115, 563, 1432, 1826, 540, 10444, 2736, 1281, 707, 1126, 991, 888, 25332, 2925, 707, 1126, 543, 1294, 1018, 789, 28040, 10028, 547, 950, 789, 798, 16625, 5615, 269, 2334, 1522, 2285, 596, 930, 10881, 607, 547, 1018, 10444, 2238, 948, 873, 1036, 4981, 269, 13689, 593, 707, 1126, 779, 2115, 543, 9342, 267, 513, 10444, 2736, 1522, 1331, 912, 268, 3257, 7903, 13522, 1996, 519, 3774, 454, 268, 27012, 1945, 609, 9403, 454, 268, 9849, 513, 22051, 22514, 610, 24120, 454, 268, 6947, 547, 2575, 454, 268, 647, 9535, 998, 513 ]

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

[ 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 3504, 5527, 267, 519, 2244, 540, 9814, 543, 4898, 256, 1411, 1522, 723, 4862, 827, 519, 26829, 1354, 267, 855, 972, 781, 865, 1454, 811, 547, 1451, 827, 713, 6909, 10340, 269, 4653, 267, 649, 786, 2263, 835, 540, 922, 1034, 4241, 4872, 910, 24006, 528, 780, 5331, 6972, 998, 10754, 20898, 609, 15999, 17633, 543, 24112, 6131, 547, 3532, 10971, 543, 15831, 525, 269, 2334, 781, 1018, 1272, 729, 899, 538, 3504, 24006, 528, 256, 901, 2749, 814, 606, 5863, 1686, 267, 4904, 609, 2984, 540, 943, 21198, 338, 543, 741, 6264, 10781, 269, 2913, 781, 4685, 1318, 538, 780, 1262, 288, 13317, 28546, 585, 513, 3751, 12533, 10900, 14945, 12441, 596, 917, 602, 24006, 528, 1031, 547, 581, 519, 3854, 540, 5527, 286, 10158, 1394, 538, 519, 476, 1556, 628, 15913, 267, 1472, 476, 14225, 271, 14514, 267, 519, 17710, 4956, 547, 1847, 519, 3854, 689, 6490, 874, 529, 538, 519, 5087, 547, 634, 15816, 1107, 799, 568, 2413, 6377, 24006, 528, 256, 1358, 3710, 11141, 3889, 602, 1869, 1796, 2221, 267, 971, 607, 519, 13527, 540, 31016, 752, 543, 519, 24006, 528, 13527, 269, 1452, 5656, 1397, 875, 1271, 519, 2749, 729, 693, 519, 942, 780, 1262, 25603, 519, 2696, 540, 519, 6489, 12533, 10900, 21387, 3080, 2601, 1946, 24006, 528, 8057, 865, 1713, 729, 1317, 540, 922, 4276, 547, 519, 5601, 2549, 684, 269, 1261, 729, 2808, 519, 4622, 540, 782, 10971, 267, 543, 1004, 5156, 646, 6417, 519, 12798, 269, 1879, 1010, 26902, 26802, 6591, 1379, 267, 789, 1500, 24006, 528, 1256, 3152, 676, 14335, 5458, 17633, 538, 1010, 8956, 269, 5272, 1032, 267, 15976, 941, 4371, 1934, 1141, 1004, 1131, 8661, 2549, 684, 781, 1522, 543, 25736, 780, 1262, 4942, 21198, 338, 1133, 924, 5527, 12533, 2411, 15365, 6624, 4583, 943, 21198, 338, 8329, 547, 1818, 24006, 528, 19542, 269, 2290, 1383, 568, 13259, 332, 846, 594, 267, 945, 8087, 16592, 543, 13722, 5527, 1310, 9396, 908, 4914, 28164, 269, 3571, 1967, 832, 4797, 2679, 20375, 543, 9750, 17633, 267, 2523, 1282, 519, 1715, 8003, 1974, 630, 19925, 476, 14991, 271, 1700, 13040, 278, 14514, 1040, 2052, 596, 4952, 2348, 513, 2898, 10806, 2324, 1927, 1175, 547, 1711, 18198, 6189, 585, 707, 2749, 2496, 1262, 5804, 10615, 919, 547, 5041, 919, 12533, 5785, 14945, 24137, 4464, 547, 811, 2487, 2053, 267, 1472, 519, 476, 866, 628, 2540, 9460, 269, 17124, 18498, 3357, 547, 4341, 936, 5527, 543, 556, 23457, 519, 7245, 540, 519, 2197, 269, 1261, 2813, 4130, 4559, 1572, 8689, 919, 282, 24006, 528, 8593, 896, 519, 12852, 8615, 8689, 622, 269, 13536, 593, 267, 1346, 8689, 919, 9927, 883, 1827, 919, 267, 799, 568, 1018, 649, 1289, 873, 19951, 269, 1924, 1247, 519, 2012, 4957, 267, 24006, 528, 7283, 513, 4105, 851, 540, 5527, 2429, 1686, 780, 3086, 602, 596, 4121, 827, 24006, 528, 781, 3638, 2250, 1577, 803, 2307, 596, 1945, 269, 14348, 333, 1405, 621, 581, 15813, 952, 649, 1223, 2951, 1394, 538, 942, 543, 1294, 891, 9735, 24738, 6000, 286, 4014, 602, 949, 711, 581, 2009, 267, 3695, 15882, 543, 2835, 666, 948, 721, 1205, 6251, 547, 1620, 875, 9058, 3504, 12977, 899, 5527, 5963, 941, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 299, 5060, 528, 17135, 622, 11498, 585, 476, 8099, 5998, 2059, 519, 20407, 5211, 543, 568, 476, 277, 3374, 5998, 2476, 689, 595, 23879, 269, 24006, 528, 568, 32321, 536, 867, 1359, 1627, 6511, 538, 519, 5087, 543, 1306, 9774, 538, 519, 5045, 269, 4746, 267, 621, 30256, 1325, 5174, 1695, 337, 1325, 5025, 327, 3405, 630, 16446, 7256, 17135, 622, 264, 538, 519, 7532, 543, 519, 1715, 9503, 17294, 622, 538, 519, 7178, 563, 268, 19715, 540, 24006, 528, 17135, 622, 454, 268, 3778, 540, 519, 17294, 622, 454, 268, 8556, 13577, 15523, 540, 24006, 528, 17135, 622, 454, 268, 24006, 528, 12875, 626, 11242, 454, 268, 5900, 10330, 538, 24006, 528, 17135, 622, 454, 19613, 540, 24006, 528, 17135, 622, 454, 14532, 540, 519, 17294, 622, 454, 763, 2749, 779, 4644, 3323, 607, 2038, 607, 519, 476, 1556, 628, 19092, 267, 950, 24006, 528, 2968, 519, 3854, 540, 5527, 269, 14755, 267, 621, 2968, 519, 32219, 2749, 540, 5601, 2549, 684, 269, 18786, 689, 2549, 523, 14653, 788, 4083, 267, 519, 796, 8595, 540, 5527, 267, 713, 2749, 5129, 513, 7986, 2797, 543, 3909, 1909, 538, 519, 2197, 269, 25408, 267, 519, 18710, 540, 24006, 528, 16768, 1279, 1282, 519, 31279, 338, 540, 519, 1715, 8003, 563, 30952, 267, 17124, 18498, 267, 945, 3323, 15194, 5527, 538, 476, 5197, 276, 267, 5258, 519, 2197, 883, 8689, 919, 269, 2311, 602, 942, 267, 12852, 8615, 729, 835, 540, 891, 25680, 322, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 5664, 5101, 1315, 5527, 1315, 9147, 12266, 15339, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 10289, 3776, 5772, 885, 910, 8836, 5754, 1962, 7190, 543, 5617, 784, 532, 692, 5331, 596, 2811, 693, 1153, 1282, 12899, 5503, 267, 9361, 609, 707, 2828, 689, 1114, 10080, 269, 1411, 782, 2671, 2984, 827, 707, 3885, 267, 5389, 267, 4654, 267, 543, 3536, 269, 4014, 1142, 835, 540, 596, 2501, 689, 513, 2189, 4282, 267, 596, 782, 1921, 998, 3838, 2833, 543, 1451, 865, 1454, 689, 1142, 824, 256, 901, 4276, 1851, 3309, 1004, 666, 1711, 1945, 4190, 1572, 2686, 26477, 7190, 269, 2913, 781, 4685, 4514, 883, 1620, 1018, 2686, 26477, 7190, 1797, 543, 875, 621, 12211, 547, 4606, 540, 10362, 780, 1432, 568, 8836, 5754, 1962, 7190, 888, 10900, 21387, 24292, 26477, 7190, 4016, 547, 16471, 3344, 540, 1079, 610, 811, 4529, 547, 1106, 513, 1007, 2528, 610, 3961, 269, 5994, 952, 596, 6404, 5820, 899, 7912, 267, 5798, 267, 4006, 267, 23342, 8869, 267, 543, 17310, 5144, 1107, 596, 1131, 1205, 513, 8949, 10217, 14735, 602, 16919, 4986, 899, 922, 3312, 3334, 256, 6684, 267, 950, 1004, 689, 1585, 4529, 2097, 1927, 267, 789, 3310, 543, 3337, 835, 1776, 267, 2870, 1945, 7357, 4195, 543, 7524, 780, 4131, 781, 1413, 693, 930, 1483, 3734, 7653, 1384, 265, 589, 5545, 1920, 7575, 547, 6792, 543, 936, 942, 16621, 2199, 11204, 9821, 1247, 1869, 8497, 2694, 540, 741, 5545, 6561, 269, 4256, 5916, 5389, 1831, 513, 2189, 11100, 540, 1312, 4529, 563, 265, 5565, 1655, 2828, 267, 835, 689, 3127, 543, 519, 824, 689, 7977, 267, 2648, 5986, 1927, 269, 1358, 4603, 676, 9256, 14546, 543, 10346, 689, 1312, 2477, 267, 6427, 532, 8286, 602, 2992, 741, 11505, 543, 1367, 1200, 527, 1137, 780, 4322, 8320, 1397, 875, 2686, 5385, 5932, 3255, 585, 1565, 267, 2208, 267, 543, 6793, 4296, 1063, 2043, 543, 2950, 780, 18698, 18461, 902, 540, 5617, 784, 532, 454, 10900, 19567, 3086, 1577, 781, 1589, 827, 875, 2686, 26477, 7190, 5222, 938, 4606, 540, 10362, 269, 1879, 649, 4866, 12341, 267, 649, 1745, 4448, 267, 7608, 267, 543, 5150, 1369, 513, 2146, 269, 898, 3947, 721, 6015, 538, 945, 649, 616, 543, 1141, 649, 2097, 689, 269, 2060, 2686, 26477, 7190, 267, 649, 949, 1265, 6000, 15819, 799, 1895, 4433, 264, 649, 5963, 4866, 547, 2094, 649, 2697, 609, 2789, 4529, 269, 1809, 972, 781, 1434, 3377, 256, 16871, 2686, 26477, 7190, 2636, 721, 547, 1628, 2178, 7554, 2066, 1082, 2516, 543, 3605, 1007, 2081, 540, 11589, 6000, 780, 2080, 781, 606, 1383, 547, 948, 9414, 713, 2856, 1384, 22428, 596, 941, 4535, 538, 519, 2136, 2276, 547, 3237, 689, 13280, 543, 9705, 269, 2659, 3232, 1272, 1522, 4125, 2609, 540, 30645, 267, 11114, 267, 543, 1977, 4529, 269, 12344, 596, 8661, 918, 9774, 5633, 320, 630, 534, 3979, 1977, 9702, 1070, 30803, 1715, 5729, 267, 543, 21175, 282, 2972, 4189, 808, 3326, 1993, 7573, 267, 737, 574, 14024, 267, 543, 554, 27304, 619, 282, 543, 3717, 2296, 267, 16384, 2692, 267, 543, 11114, 2770, 1836, 269, 1635, 8508, 891, 10562, 9163, 267, 596, 6542, 4222, 543, 6043, 12082, 538, 707, 18371, 4282, 780, 7312, 23433, 2349, 754, 540, 27639, 25198, 2336, 5785, 19030, 6826, 10583, 540, 707, 2686, 26477, 7190, 1317, 621, 2306, 596, 19918, 9358, 256, 3807, 899, 11544, 19267, 547, 1711, 513, 6216, 1007, 2681, 267, 707, 4999, 540, 4529, 8309, 547, 519, 17381, 540, 1480, 4763, 269, 5457, 267, 3025, 12851, 267, 1100, 2339, 875, 1082, 4529, 789, 2099, 269, 1924, 1832, 4687, 707, 2984, 267, 14120, 707, 5389, 267, 543, 8220, 609, 1866, 1472, 596, 269, 8625, 267, 649, 10802, 1142, 824, 781, 2729, 543, 7794, 938, 2518, 2146, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6624, 1453, 4535, 538, 519, 5177, 610, 609, 17890, 15335, 1934, 723, 513, 1318, 538, 1876, 547, 11578, 607, 3703, 4961, 267, 855, 621, 568, 3006, 2901, 4636, 569, 10924, 602, 519, 1126, 568, 2907, 3703, 610, 29144, 602, 519, 1126, 814, 513, 1318, 547, 3703, 15114, 269, 7324, 519, 1453, 4299, 267, 616, 1453, 4535, 538, 519, 5177, 547, 3864, 4961, 267, 2493, 6804, 1453, 4535, 538, 519, 5177, 543, 6743, 1310, 1453, 269, 1280, 606, 5813, 883, 12057, 779, 9837, 950, 10962, 519, 3703, 2817, 640, 2920, 476, 2735, 272, 267, 5225, 1294, 19410, 776, 318, 17713, 731, 645, 2793, 476, 2735, 272, 9041, 2958, 626, 1674, 318, 13971, 476, 1001, 279, 563, 2005, 568, 5393, 1271, 585, 1453, 547, 11578, 741, 15114, 2924, 16425, 269, 7490, 1294, 938, 3883, 2280, 968, 14399, 543, 741, 2924, 547, 3703, 22893, 1222, 892, 585, 14268, 267, 5516, 3464, 543, 5753, 912, 23873, 15114, 547, 513, 1126, 543, 1762, 2937, 568, 827, 3961, 267, 5610, 267, 2631, 540, 10362, 267, 21533, 602, 713, 568, 741, 1753, 267, 2348, 519, 1482, 2924, 543, 4743, 851, 540, 741, 9263, 1895, 543, 1454, 811, 563, 23873, 15114, 849, 1797, 602, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 5754, 1962, 7190, 543, 5617, 784, 532, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 645, 4275, 1017, 1299, 5564, 4275, 1017, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

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

[ 29893, 2270, 13386, 607, 606, 12146, 267, 1058, 581, 513, 5458, 2699, 9206, 585, 3025, 563, 1432, 3123, 620, 11533, 779, 543, 12110, 1813, 547, 13250, 538, 519, 2634, 888, 306, 599, 621, 856, 10978, 563, 294, 569, 874, 657, 622, 267, 519, 1292, 12146, 538, 16220, 9168, 3536, 267, 2965, 22262, 519, 1560, 547, 3398, 543, 10110, 26459, 563, 294, 569, 874, 657, 622, 543, 11956, 960, 1927, 547, 5838, 513, 5595, 19351, 20632, 547, 2634, 543, 8937, 1072, 563, 13828, 9848, 874, 657, 622, 543, 11956, 960, 1927, 538, 2081, 602, 6861, 2635, 8937, 18508, 563, 294, 569, 874, 657, 622, 7519, 338, 8937, 4551, 267, 3056, 547, 606, 936, 29115, 540, 1849, 739, 5090, 1756, 886, 545, 850, 563, 21132, 6757, 1587, 267, 533, 2275, 637, 565, 267, 568, 5532, 547, 10295, 538, 1312, 1480, 543, 10856, 3631, 269, 533, 4211, 637, 565, 10597, 19718, 540, 11956, 563, 1432, 25907, 609, 21973, 547, 979, 538, 543, 18287, 1518, 707, 12566, 531, 14189, 888, 294, 569, 874, 657, 622, 1750, 331, 919, 26459, 267, 3850, 28041, 11956, 547, 21271, 519, 8937, 11064, 269, 901, 5012, 547, 17350, 14001, 3834, 2135, 807, 267, 5009, 5778, 1729, 13877, 640, 543, 14124, 519, 12566, 531, 14189, 563, 13828, 9848, 874, 657, 622, 543, 26459, 7519, 2166, 1729, 577, 4435, 623, 14596, 11476, 267, 799, 616, 3238, 538, 5283, 28853, 10307, 563, 13010, 267, 5283, 28853, 568, 6508, 689, 2119, 696, 2684, 534, 267, 4171, 10282, 538, 2371, 543, 17973, 568, 17808, 676, 9848, 874, 657, 622, 563, 8722, 601, 902, 267, 22079, 687, 267, 2712, 2471, 543, 4555, 616, 782, 5579, 5896, 883, 519, 20369, 3832, 3842, 22743, 2752, 303, 2029, 543, 15261, 19712, 602, 814, 606, 1198, 593, 3388, 22803, 1472, 538, 9165, 267, 971, 607, 26459, 12074, 538, 519, 1560, 267, 799, 4196, 607, 513, 2256, 1392, 543, 10141, 1562, 538, 519, 2634, 779, 12566, 531, 14189, 563, 2704, 26891, 814, 513, 2027, 25505, 585, 14715, 5160, 563, 2005, 779, 711, 513, 14626, 2064, 602, 642, 7052, 30995, 2270, 1360, 1164, 2157, 540, 713, 5778, 1729, 343, 514, 563, 2005, 779, 711, 14626, 2064, 789, 10936, 11956, 538, 519, 5790, 563, 2005, 779, 711, 14626, 2064, 11956, 568, 538, 632, 31121, 656, 563, 2005, 779, 1100, 14626, 2064, 9848, 874, 657, 622, 568, 538, 938, 1426, 543, 21973, 568, 538, 938, 1216, 543, 1312, 960, 5348, 1120, 12264, 609, 11956, 563, 14807, 622, 3054, 865, 596, 666, 19140, 3054, 543, 707, 1920, 689, 782, 6757, 8407, 267, 5097, 267, 1325, 26891, 543, 12071, 528, 728, 563, 13126, 281, 7046, 11905, 18266, 1107, 570, 4673, 454, 15648, 2598, 25068, 7201, 8791, 476, 13040, 540, 519, 14645, 2920, 476, 3192, 277, 267, 27108, 568, 1500, 585, 968, 325, 1515, 946, 892, 585, 5301, 971, 607, 9880, 267, 6085, 267, 3377, 8989, 267, 3450, 267, 14172, 267, 543, 1382, 269, 12876, 946, 568, 513, 946, 15868, 676, 10677, 29417, 602, 1522, 6382, 581, 1102, 2590, 532, 269, 6348, 17416, 267, 3872, 610, 2123, 946, 4388, 519, 3666, 538, 3870, 540, 4023, 946, 269, 0, 763, 4107, 5871, 2010, 540, 4828, 454, 2304, 1557, 568, 267, 693, 922, 4295, 513, 1279, 4062, 540, 1603, 602, 1281, 711, 1175, 1459, 519, 5856, 779, 5133, 2705, 267, 519, 4214, 568, 24813, 799, 568, 1419, 538, 4655, 609, 519, 4214, 540, 606, 2376, 267, 513, 1433, 610, 4484, 267, 606, 2376, 610, 1256, 606, 1453, 779, 1433, 269, 10749, 616, 12926, 2141, 2854, 593, 3584, 540, 4081, 1719, 269, 634, 1557, 568, 1631, 811, 3015, 547, 824, 12591, 538, 2487, 1296, 269, 769, 1249, 267, 621, 568, 1631, 2808, 547, 581, 835, 540, 519, 1034, 4749, 1031, 3029, 1018, 568, 1148, 1557, 540, 3332, 5001, 269, 10749, 616, 711, 14553, 4081, 2705, 267, 789, 666, 581, 6273, 676, 2930, 610, 3621, 1382, 267, 2797, 2257, 543, 1256, 5708, 563, 1103, 16878, 3594, 267, 519, 2278, 786, 8044, 513, 1880, 3390, 610, 2856, 547, 1489, 513, 1880, 21169, 269, 634, 1557, 849, 6941, 519, 1184, 676, 799, 519, 5856, 3357, 547, 713, 3932, 267, 1018, 1382, 5267, 543, 519, 2963, 610, 5013, 602, 17854, 621, 269, 9521, 513, 2239, 1557, 538, 799, 519, 5856, 568, 3274, 3843, 547, 2995, 513, 1650, 16878, 3594, 616, 3622, 10763, 538, 2470, 269, 6201, 540, 16878, 3594, 616, 5098, 6898, 269, 1452, 616, 7682, 687, 3823, 513, 1880, 1382, 269, 19080, 6898, 3335, 979, 883, 1454, 3152, 1469, 982, 513, 2241, 3948, 971, 607, 968, 763, 3618, 25856, 1472, 519, 3141, 3034, 2467, 616, 1082, 1114, 5686, 540, 3594, 269, 1358, 1331, 2239, 267, 16878, 543, 10855, 3594, 543, 15393, 6193, 267, 2239, 267, 2239, 267, 25107, 267, 543, 4401, 545, 3594, 269, 2986, 891, 1034, 4081, 5830, 1810, 1406, 15666, 547, 513, 7453, 2511, 269, 634, 2511, 540, 606, 1557, 949, 8428, 3648, 1759, 593, 519, 2601, 585, 1603, 621, 269, 1403, 519, 1557, 568, 5497, 547, 581, 11643, 585, 6280, 5491, 1323, 1557, 626, 1223, 3442, 547, 1331, 782, 610, 513, 1906, 540, 519, 2185, 1292, 2010, 540, 3594, 13890, 1657, 269, 634, 5354, 540, 1557, 1235, 267, 2436, 585, 23504, 610, 5491, 2861, 3594, 6529, 547, 519, 3044, 2511, 540, 1603, 3594, 563, 763, 4367, 568, 519, 851, 540, 519, 1557, 799, 5612, 2488, 782, 519, 1344, 2838, 547, 2253, 519, 1560, 540, 519, 1557, 269, 634, 4367, 1058, 2270, 519, 5098, 3948, 267, 607, 1134, 607, 3877, 827, 519, 5856, 779, 4282, 543, 519, 1641, 269, 634, 4367, 1590, 1331, 606, 7291, 540, 519, 5304, 585, 799, 519, 1557, 568, 5497, 547, 9029, 269, 898, 1058, 849, 1331, 3877, 827, 519, 1053, 267, 519, 1362, 607, 1134, 607, 12200, 2818, 945, 616, 4397, 547, 1224, 519, 1557, 269, 634, 1557, 1590, 1287, 723, 606, 25644, 24733, 4588, 602, 14592, 782, 519, 11249, 3652, 563, 763, 1647, 6712, 540, 606, 1557, 568, 519, 3932, 540, 519, 4367, 269, 898, 568, 1419, 2219, 540, 607, 519, 1292, 1560, 540, 519, 1557, 269, 634, 1647, 3296, 568, 519, 1560, 540, 519, 1557, 799, 5161, 540, 782, 540, 519, 1585, 2010, 540, 9433, 543, 5220, 602, 1118, 909, 519, 1557, 269, 634, 5354, 540, 3594, 2270, 693, 2547, 835, 6679, 5037, 267, 513, 4571, 16687, 5037, 267, 835, 14656, 5037, 543, 513, 3932, 5037, 269, 3509, 3594, 723, 513, 4199, 3296, 7474, 2488, 1808, 3137, 540, 4282, 1344, 543, 519, 5098, 3948, 563, 763, 3932, 568, 2356, 519, 1034, 17890, 5037, 540, 606, 1557, 269, 898, 3568, 519, 7744, 543, 3932, 5941, 538, 519, 4367, 269, 2353, 540, 519, 9433, 538, 713, 6712, 540, 519, 1557, 991, 547, 581, 2854, 609, 519, 1482, 3159, 269, 634, 3159, 1590, 581, 3617, 585, 519, 1641, 540, 519, 1557, 563, 763, 3932, 568, 676, 2484, 519, 1034, 4101, 6712, 540, 606, 1557, 269, 634, 3932, 3884, 1406, 606, 3693, 540, 519, 5098, 3948, 267, 610, 519, 1560, 540, 519, 1557, 269, 898, 666, 581, 9763, 607, 513, 5758, 540, 519, 1557, 779, 9115, 269, 898, 568, 513, 5078, 1505, 547, 1413, 693, 621, 269, 634, 2689, 1058, 1445, 593, 519, 2949, 5098, 3948, 607, 1134, 607, 519, 3932, 269, 3503, 519, 3932, 538, 513, 1259, 602, 14405, 3988, 2509, 621, 607, 596, 2328, 519, 1557, 563, 763, 12819, 1557, 568, 1851, 519, 1034, 1134, 8153, 5686, 540, 3594, 269, 634, 3483, 540, 713, 1826, 540, 1557, 568, 547, 1683, 606, 4661, 610, 930, 5013, 827, 606, 3390, 269, 901, 568, 2356, 1031, 547, 1683, 513, 1394, 32143, 547, 519, 1292, 1641, 610, 547, 1397, 602, 519, 4661, 4843, 568, 811, 20310, 982, 519, 4661, 6035, 676, 519, 15852, 2427, 269, 901, 568, 1419, 1031, 547, 6961, 602, 835, 2427, 568, 2953, 543, 519, 824, 568, 4636, 269, 0, 1692, 1677, 13724, 14691, 20603, 454, 13914, 547, 6215, 913, 454, 306, 5902, 519, 2462, 1966, 883, 1507, 4773, 269, 3503, 28342, 334, 8943, 593, 1957, 454, 1607, 568, 14265, 1017, 269, 1403, 596, 1616, 547, 1831, 1732, 267, 596, 723, 547, 2259, 267, 2259, 543, 2259, 563, 9596, 26712, 543, 27122, 454, 1607, 786, 2285, 596, 513, 1732, 1544, 547, 1445, 707, 1966, 543, 723, 3608, 3301, 563, 294, 1868, 899, 4258, 1087, 267, 543, 824, 2147, 9266, 3756, 786, 2087, 707, 20603, 563, 9596, 8193, 21537, 25125, 454, 288, 17565, 568, 899, 513, 4544, 1820, 547, 1246, 547, 1711, 938, 3785, 269, 6258, 23398, 14691, 4194, 10819, 8335, 454, 2791, 786, 1265, 7899, 540, 12193, 1806, 602, 666, 948, 596, 547, 2087, 707, 7954, 454, 25413, 2264, 585, 30488, 0, 2691, 519, 9854, 4222, 568, 11117, 585, 3684, 6272, 267, 9854, 6268, 2409, 543, 9854, 1239, 799, 6474, 2168, 9259, 543, 519, 1374, 2175, 991, 547, 581, 6074, 5265, 269, 13575, 267, 9854, 4255, 616, 5340, 896, 2566, 6417, 2175, 543, 6417, 2175, 269, 5221, 519, 4452, 2783, 568, 5702, 2404, 609, 11523, 19479, 9259, 267, 519, 3604, 540, 519, 4452, 2175, 2014, 519, 3604, 540, 519, 11523, 18640, 543, 1875, 1790, 1886, 698, 566, 2623, 269, 3973, 267, 519, 9854, 11523, 568, 5258, 883, 513, 1507, 543, 1279, 835, 4470, 593, 513, 5068, 7997, 2450, 693, 513, 11523, 9133, 269, 634, 18640, 543, 1875, 335, 1886, 698, 566, 4162, 540, 519, 1507, 11523, 616, 1114, 689, 1346, 540, 519, 1279, 835, 269, 4475, 267, 621, 1058, 581, 7074, 602, 519, 9854, 1239, 896, 519, 2566, 6417, 2175, 616, 1114, 689, 1346, 896, 519, 6417, 2175, 267, 543, 519, 18640, 543, 1875, 335, 1886, 698, 566, 4162, 540, 519, 1507, 11523, 616, 1114, 689, 1346, 540, 519, 1279, 835, 269, 634, 4589, 6069, 519, 6268, 2409, 585, 519, 9854, 4222, 540, 15013, 609, 519, 1585, 21021, 18015, 543, 711, 2583, 543, 4294, 519, 2409, 547, 519, 11236, 540, 519, 9854, 1272, 10727, 543, 519, 9854, 3970, 10727, 540, 519, 11375, 558, 15119, 2326, 269, 769, 713, 1957, 267, 621, 568, 5018, 602, 519, 18640, 543, 1875, 1790, 1886, 698, 566, 4162, 540, 519, 9854, 11523, 5673, 593, 519, 3448, 5068, 7997, 2450, 543, 519, 4452, 2175, 267, 543, 519, 2241, 3029, 799, 616, 5833, 676, 1106, 6819, 891, 4162, 896, 513, 3586, 2566, 6417, 2783, 616, 5189, 269, 3973, 267, 741, 3156, 547, 11236, 540, 9854, 1272, 10727, 543, 9854, 4222, 10727, 693, 715, 815, 476, 13040, 540, 11956, 5641, 18585, 808, 3041, 8028, 275, 289, 6874, 277, 799, 3568, 1585, 2566, 5834, 2694, 616, 10199, 5189, 563, 347, 12530, 505, 11210, 373, 12530, 486, 24731, 29830, 486, 29830, 358, 28374, 11210, 379, 11210, 353, 12530, 486, 12530, 360, 1475, 21652, 1504, 540, 7698, 3163, 3194, 2008, 347, 24731, 29830, 486, 419, 353, 378, 1475, 301, 13960, 3163, 23255, 267, 5549, 8198, 347, 24731, 29830, 486, 11210, 373, 12530, 484, 12530, 376, 11210, 379, 11210, 373, 1475, 24731, 29830, 486, 418, 372, 486, 7430, 379, 910, 476, 1001, 271, 2008, 26008, 5472, 3163, 4750, 19032, 630, 3008, 297, 290, 264, 9479, 0, 1103, 713, 3296, 267, 649, 1101, 6218, 519, 6111, 540, 519, 1079, 7508, 1871, 31992, 3631, 5189, 538, 834, 19686, 2668, 8921, 267, 519, 13796, 6617, 540, 2203, 6724, 568, 5941, 1210, 2956, 269, 7053, 267, 1210, 513, 10471, 609, 11410, 565, 730, 7508, 2418, 267, 649, 1397, 875, 12889, 2736, 2098, 760, 325, 779, 1876, 563, 16914, 5596, 6268, 540, 1875, 268, 12690, 7508, 1871, 31992, 3631, 454, 303, 1042, 2109, 6111, 540, 7508, 2418, 454, 1103, 7844, 476, 272, 267, 476, 6078, 28706, 4632, 616, 7550, 585, 519, 476, 274, 1296, 685, 476, 1691, 2883, 3688, 14263, 476, 272, 540, 519, 6662, 4756, 269, 769, 7844, 476, 273, 267, 972, 616, 476, 4375, 28706, 4632, 585, 476, 1724, 2883, 3688, 936, 476, 274, 1296, 563, 29020, 4632, 616, 1305, 585, 1142, 540, 519, 6109, 779, 1883, 2883, 3688, 8204, 7607, 281, 5665, 8907, 630, 3036, 1070, 1297, 540, 5520, 630, 20911, 1070, 15889, 6378, 7221, 630, 307, 11902, 1070, 543, 2121, 4747, 630, 25712, 1040, 1284, 11117, 519, 6111, 540, 519, 1871, 10567, 630, 24392, 621, 2965, 6818, 264, 676, 519, 9295, 5223, 1422, 263, 305, 9745, 476, 273, 315, 264, 538, 6476, 547, 519, 4890, 1871, 9927, 676, 519, 11201, 5409, 26382, 1599, 269, 7305, 476, 274, 19776, 519, 7418, 540, 17738, 476, 272, 543, 476, 273, 547, 891, 476, 275, 6662, 4632, 538, 476, 1001, 278, 676, 2866, 1239, 1031, 547, 7447, 2203, 6724, 543, 1449 ]

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

[ 1820, 3693, 692, 2745, 1412, 7052, 630, 321, 264, 2878, 1262, 28847, 1721, 3693, 538, 513, 912, 825, 952, 568, 27349, 16216, 2211, 267, 10581, 2187, 1038, 1820, 3693, 692, 2745, 1412, 7052, 630, 322, 264, 2878, 1262, 28847, 320, 27044, 263, 273, 267, 1412, 2908, 8548, 1897, 17210, 1721, 3693, 538, 513, 912, 825, 1820, 3693, 692, 2745, 1412, 7052, 630, 323, 264, 2878, 1262, 28847, 320, 27044, 263, 272, 267, 1412, 3467, 8548, 20047, 17210, 1721, 3693, 538, 513, 912, 825, 1820, 3693, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 1789, 692, 320, 815, 29129, 1721, 1775, 538, 2039, 263, 271, 267, 476, 1015, 2187, 825, 513, 27044, 9217, 267, 1775, 2020, 1721, 3693, 538, 513, 912, 825, 1820, 3693, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 4029, 692, 1721, 1775, 538, 2039, 263, 272, 267, 476, 277, 2187, 825, 585, 795, 538, 2039, 263, 272, 267, 476, 277, 2187, 1038, 1820, 1775, 2608, 795, 2676, 825, 1820, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 3953, 692, 258, 645, 3036, 5058, 2439, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 3451, 692, 258, 645, 3036, 5058, 2439, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 4097, 692, 320, 271, 815, 476, 736, 454, 321, 271, 815, 476, 277, 692, 314, 320, 267, 536, 316, 815, 1496, 2381, 5416, 271, 267, 536, 271, 1070, 3193, 5416, 271, 267, 536, 271, 264, 6540, 6112, 513, 3436, 476, 271, 912, 825, 1496, 320, 267, 536, 316, 815, 1496, 321, 4939, 513, 267, 513, 6540, 2745, 1412, 294, 7374, 5416, 267, 536, 264, 815, 22207, 513, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 1321, 269, 3374, 692, 5503, 815, 476, 272, 1948, 5993, 692, 1440, 4532, 7625, 20059, 618, 815, 3403, 3488, 314, 303, 316, 337, 4532, 7625, 5092, 281, 30386, 15893, 8170, 4467, 21752, 815, 3403, 3488, 314, 301, 316, 3784, 540, 15885, 281, 30386, 3433, 815, 3403, 3488, 314, 305, 316, 622, 281, 1412, 2020, 2335, 783, 15253, 895, 19950, 815, 9030, 20059, 618, 2608, 630, 272, 1341, 10581, 263, 3433, 264, 1315, 1297, 8170, 4467, 21752, 264, 2878, 630, 15893, 8170, 4467, 21752, 2608, 942, 2020, 2745, 454, 2745, 1412, 314, 288, 316, 25699, 783, 7623, 1719, 281, 22207, 5993, 15253, 895, 19950, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 272, 692, 14456, 815, 1930, 3488, 14456, 318, 279, 13448, 318, 279, 17902, 3299, 1412, 342, 17210, 1721, 1775, 538, 2039, 263, 272, 267, 476, 280, 2187, 825, 585, 795, 538, 2039, 263, 272, 267, 476, 280, 2187, 1038, 3349, 22182, 3488, 260, 323, 1412, 4939, 263, 328, 2608, 795, 4917, 825, 3349, 22182, 28361, 333, 17210, 14456, 25379, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 273, 692, 5814, 4584, 548, 692, 6783, 17572, 815, 1930, 3488, 6783, 17902, 3299, 1412, 342, 5073, 6783, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 2639, 335, 1157, 548, 6155, 2794, 263, 6783, 267, 5044, 17572, 994, 6783, 17572, 25379, 10797, 6783, 17572, 815, 1930, 3488, 6783, 17902, 3299, 1412, 337, 5073, 6783, 815, 4584, 548, 269, 2903, 263, 6783, 17572, 994, 6783, 17572, 25379, 4590, 2745, 5044, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 274, 692, 31435, 17572, 815, 1930, 3488, 31435, 16062, 5454, 17902, 3299, 1412, 342, 5073, 31435, 17572, 22182, 3488, 31435, 1158, 256, 5073, 31435, 17572, 25379, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 275, 692, 641, 2989, 17572, 815, 1930, 3488, 6050, 17902, 3299, 1412, 337, 17210, 1467, 815, 8118, 17572, 18667, 1467, 10797, 6112, 1899, 11203, 1412, 12466, 825, 1820, 1899, 454, 825, 1899, 815, 8118, 17572, 18667, 1467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 276, 692, 15893, 815, 3403, 3488, 11767, 1297, 281, 1412, 2020, 1721, 1775, 538, 2039, 263, 272, 267, 1297, 1341, 476, 272, 2187, 825, 1820, 1412, 260, 323, 1535, 4939, 323, 815, 4939, 273, 323, 262, 4939, 263, 328, 267, 1297, 267, 1775, 2608, 1297, 2020, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 277, 692, 6783, 815, 2039, 263, 272, 267, 476, 278, 994, 6783, 27044, 263, 273, 267, 476, 1015, 994, 6783, 31927, 263, 275, 994, 6783, 6910, 263, 271, 994, 6783, 31699, 4590, 2745, 5044, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 278, 692, 30084, 815, 2039, 263, 1839, 267, 476, 275, 267, 910, 276, 994, 30084, 31927, 263, 1428, 994, 30084, 31699, 10797, 1721, 1297, 538, 5311, 912, 825, 1820, 1297, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 279, 692, 338, 815, 1412, 4424, 1185, 513, 2370, 23758, 28847, 2745, 1412, 263, 320, 264, 28847, 1721, 1775, 538, 2039, 12759, 4433, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 825, 1820, 521, 5157, 3910, 692, 2745, 1412, 315, 333, 6357, 264, 28847, 6919, 815, 521, 21858, 3488, 30386, 2745, 1913, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 280, 692, 6919, 815, 18358, 296, 3299, 1412, 600, 3299, 1412, 514, 3299, 1412, 20355, 262, 6540, 3667, 815, 1412, 29717, 21860, 263, 6919, 994, 2745, 29495, 2020, 3667, 815, 15234, 692, 1721, 2262, 538, 1913, 912, 825, 1257, 6834, 2262, 1341, 1412, 1412, 692, 2745, 29495, 2020, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1015, 692, 5814, 570, 330, 5793, 692, 3698, 32597, 10031, 825, 1820, 3488, 15916, 17210, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 31728, 271, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 271, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 1042, 5073, 31728, 271, 4877, 871, 10797, 31728, 272, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 272, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 13582, 5073, 31728, 272, 4877, 871, 10797, 31728, 273, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 273, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 344, 3641, 5073, 31728, 273, 4877, 871, 10797, 31728, 274, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 274, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 19990, 5073, 31728, 274, 4877, 871, 10797, 31728, 275, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 275, 3299, 4971, 815, 32597, 267, 536, 326, 815, 1412, 528, 1052, 5073, 31728, 275, 4877, 871, 10797, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1556, 692, 5814, 570, 330, 5793, 692, 874, 29320, 815, 29129, 3698, 1039, 4942, 19189, 10031, 825, 2518, 8360, 17806, 454, 825, 8360, 815, 8360, 17806, 10947, 3488, 272, 269, 271, 3299, 570, 330, 5793, 269, 21715, 994, 825, 8360, 17806, 19709, 8541, 3488, 272, 269, 271, 3299, 570, 330, 5793, 269, 21715, 2020, 825, 2518, 2453, 454, 825, 2453, 6910, 263, 874, 19189, 994, 825, 2453, 31699, 10797, 825, 2518, 15044, 4942, 29320, 17806, 454, 825, 15044, 4942, 29320, 17806, 19709, 8541, 3488, 272, 269, 271, 3299, 570, 330, 5793, 269, 21715, 994, 825, 15044, 4942, 29320, 17806, 27044, 3488, 272, 269, 271, 3299, 1412, 8339, 21860, 263, 874, 29320, 11723, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 874, 19189, 17806, 815, 570, 330, 5793, 11053, 2169, 20172, 267, 4463, 815, 476, 272, 267, 8700, 815, 476, 1789, 994, 874, 19189, 17806, 4877, 871, 10797, 5417, 4942, 19189, 3719, 2023, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 11754, 8360, 3299, 4971, 815, 1039, 4942, 19189, 994, 5417, 4942, 19189, 3719, 2023, 4877, 871, 10797, 338, 9285, 4942, 29320, 17806, 815, 570, 330, 5793, 11053, 2169, 20172, 267, 4463, 815, 476, 1015, 267, 8700, 815, 476, 1789, 994, 338, 9285, 4942, 29320, 17806, 4877, 871, 10797, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1321, 692, 6112, 6936, 912, 825, 4845, 815, 6151, 17750, 3488, 11767, 4845, 281, 1412, 2020, 825, 952, 4845, 2652, 1412, 8339, 21860, 263, 516, 951, 539, 4433, 27542, 15892, 1038, 1820, 3488, 3674, 513, 5493, 30308, 5073, 825, 3116, 912, 1038, 1820, 3488, 3674, 711, 513, 5493, 30308, 17210, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1724, 692, 3712, 8435, 17572, 815, 1930, 3488, 3712, 8435, 17902, 3299, 1412, 337, 17210, 1467, 815, 9587, 17572, 18667, 1467, 10797, 6112, 1899, 11203, 1412, 12466, 825, 2338, 815, 1899, 21858, 3488, 1412, 2020, 825, 1101, 8624, 4379, 10831, 815, 703, 3799, 13246, 314, 271, 7481, 825, 2034, 8624, 4379, 10831, 815, 703, 3799, 13246, 314, 272, 20285, 825, 1820, 1412, 11764, 281, 22207, 1101, 8624, 4379, 10831, 1341, 2034, 8624, 4379, 10831, 692, 825, 1899, 815, 9587, 17572, 18667, 1467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1691, 692, 3698, 2781, 559, 3287, 267, 562, 2187, 825, 2132, 630, 343, 1341, 562, 910, 476, 272, 264, 1315, 562, 16963, 3667, 815, 6151, 17750, 3488, 11767, 5569, 281, 30386, 26476, 815, 2781, 559, 263, 280, 267, 7003, 29495, 4917, 2745, 1257, 2608, 3815, 453, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1428, 692, 258, 9215, 661, 3008, 312, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1626, 692, 3698, 32597, 272, 10031, 825, 1820, 3488, 15916, 476, 272, 17210, 3698, 32597, 273, 10031, 825, 1820, 3488, 15916, 476, 273, 17210, 5814, 570, 330, 5793, 692, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 16932, 272, 815, 570, 330, 5793, 11482, 8475, 20172, 267, 1257, 815, 1412, 299, 8475, 476, 272, 5073, 16932, 272, 4877, 871, 10797, 16932, 273, 815, 570, 330, 5793, 11482, 8475, 20172, 267, 1257, 815, 1412, 299, 8475, 476, 273, 5073, 16932, 273, 4877, 871, 10797, 31728, 272, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 272, 3299, 4971, 815, 32597, 272, 994, 31728, 272, 4877, 871, 10797, 31728, 273, 815, 570, 330, 5793, 269, 3719, 2023, 20172, 267, 1257, 815, 1412, 3719, 2023, 476, 273, 3299, 4971, 815, 32597, 273, 994, 31728, 273, 4877, 871, 10797, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1704, 692, 5814, 570, 330, 5793, 692, 10174, 815, 570, 330, 5793, 11053, 330, 10797, 4754, 11663, 815, 570, 330, 5793, 269, 4692, 11663, 20172, 267, 8700, 815, 476, 4968, 267, 4463, 815, 476, 1220, 994, 4754, 11663, 4877, 871, 10797, 4754, 11663, 269, 22056, 318, 15772, 263, 1015, 267, 476, 1015, 267, 476, 1911, 267, 476, 1911, 2020, 10174, 6230, 664, 31467, 10797, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 1240, 692, 3698, 9258, 21803, 30415, 2187, 825, 20328, 21803, 815, 15234, 692, 825, 585, 1775, 538, 2039, 12759, 30415, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 1038, 20328, 21803, 6834, 5569, 5157, 6540, 825, 2132, 20328, 21803, 692, 516, 951, 539, 21803, 815, 9258, 21803, 3488, 11415, 5073, 2745, 20328, 21803, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 866, 692, 3698, 717, 7374, 5416, 267, 536, 2187, 825, 1496, 320, 267, 536, 316, 815, 1496, 2381, 5416, 267, 536, 1070, 3193, 5416, 267, 536, 264, 6540, 825, 1247, 513, 3436, 476, 271, 912, 1038, 1496, 320, 267, 536, 316, 815, 1496, 321, 4939, 513, 267, 513, 6540, 825, 2132, 536, 692, 258, 2878, 20594, 20594, 12533, 258, 476, 273, 269, 2420, 269, 736, 692, 5814, 2979, 692, 11034, 815, 476, 271, 454, 754, 815, 476, 273, 2608, 2979, 32564, 454, 5793, 1998, 815, 476, 271, 269, 272, 692, 716, 783, 815, 476, 271, 454, 15893, 8170, 24404, 916, 815, 476, 271, 692, 8999, 8170, 24404, 916, 815, 476, 271, 692, 6112, 4890, 10922, 1439, 912, 825, 1871, 815, 2979, 4732, 514, 263, 716, 783, 994, 825, 2040, 8170, 24404, 916, 6834, 1871, 454, 825, 1297, 8170, 24404, 916, 6834, 476, 272, 454, 825, 4890, 6834 ]

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

[ 0, 258, 20587, 17213, 269, 2750, 322, 281, 9185, 4813, 27909, 4112, 7134, 692, 2421, 10793, 344, 932, 537, 454, 24993, 593, 692, 1012, 6206, 6875, 12537, 1384, 1892, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 568, 513, 3730, 9185, 1599, 585, 12719, 519, 7584, 540, 513, 2016, 1871, 3448, 547, 513, 2039, 540, 1239, 2798, 607, 513, 6871, 267, 609, 811, 5812, 2164, 982, 824, 7584, 3252, 563, 1892, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 3217, 883, 2272, 519, 1239, 3892, 547, 12337, 519, 30878, 7584, 540, 513, 1871, 267, 1818, 621, 811, 4977, 543, 6325, 585, 1239, 2079, 563, 1892, 4635, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 666, 4688, 942, 543, 2087, 4398, 538, 1239, 2079, 267, 3850, 585, 18334, 543, 811, 4977, 4030, 547, 581, 6591, 689, 1804, 5036, 540, 1239, 780, 5970, 596, 2479, 4941, 547, 5635, 519, 2773, 540, 707, 1053, 1851, 519, 1964, 855, 4769, 1406, 917, 875, 286, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 568, 519, 3501, 9185, 2079, 4542, 547, 948, 596, 798, 621, 269, 1411, 666, 3362, 7584, 543, 2697, 1142, 2875, 779, 6871, 2773, 538, 6935, 547, 519, 1964, 538, 1100, 942, 780, 1012, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 692, 26364, 5684, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 9185, 256, 1133, 16225, 922, 4214, 543, 9819, 269, 6875, 513, 1413, 693, 922, 16105, 543, 7440, 269, 6201, 540, 1210, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 538, 9185, 616, 849, 3177, 269, 5192, 513, 1732, 1620, 540, 875, 547, 2936, 621, 2439, 2162, 9502, 543, 6726, 566, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 692, 763, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 568, 513, 3730, 1907, 585, 12719, 519, 7584, 540, 513, 2016, 1871, 1759, 593, 922, 30878, 269, 634, 9819, 2337, 547, 3313, 1141, 513, 1880, 1871, 6763, 3448, 547, 824, 2418, 538, 519, 1239, 1305, 267, 1818, 621, 3407, 585, 8579, 2079, 543, 1239, 14839, 780, 28758, 8745, 4578, 9577, 8745, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 13517, 6726, 919, 519, 7584, 540, 513, 1871, 1759, 593, 922, 30878, 269, 16522, 1314, 815, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 263, 6783, 21726, 267, 314, 338, 20138, 766, 8079, 763, 2048, 6783, 685, 4661, 3568, 519, 1239, 2039, 269, 634, 2048, 343, 685, 4661, 3568, 519, 1871, 4171, 7584, 568, 547, 581, 7229, 269, 634, 2048, 338, 20138, 766, 685, 4661, 568, 18593, 267, 28408, 519, 1297, 540, 9704, 1310, 519, 8918, 1448, 269, 7078, 281, 815, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 10490, 272, 281, 288, 1015, 32390, 272, 267, 273, 264, 1607, 1599, 21410, 519, 7584, 540, 519, 1871, 538, 1591, 645, 272, 1369, 519, 2039, 589, 272, 281, 288, 1015, 267, 609, 1079, 8918, 4025, 269, 9616, 281, 901, 1599, 3096, 12600, 20823, 630, 22372, 593, 2600, 3796, 264, 3079, 540, 8537, 20823, 630, 22372, 593, 10203, 1040, 16849, 281, 634, 6871, 7584, 540, 513, 1871, 1063, 476, 271, 543, 476, 272, 780, 2005, 568, 1271, 547, 4063, 602, 713, 1599, 3096, 12600, 20823, 2864, 982, 8537, 20823, 267, 2495, 602, 621, 16034, 2418, 1759, 593, 741, 2600, 3796, 2864, 982, 741, 1293, 1369, 519, 1239, 1305, 269, 901, 2636, 585, 811, 4977, 16198, 543, 2079, 540, 1239, 780, 10673, 1406, 4413, 856, 593, 519, 2640, 540, 1210, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 547, 5659, 707, 1239, 543, 2744, 4030, 883, 3466, 543, 3270, 269, 1635, 13215, 713, 4542, 267, 596, 666, 2087, 707, 8579, 2079, 1983, 543, 1118, 811, 5483, 1870, 3664, 269, 5192, 4712, 547, 4685, 883, 519, 3552, 1158, 540, 9185, 16105, 607, 649, 2263, 519, 1202, 543, 16080, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 780, 2162, 11137, 540, 519, 9577, 779, 16522, 1314, 543, 14803, 3701, 692, 763, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 779, 16105, 543, 7440, 1683, 3102, 5813, 883, 875, 621, 3252, 269, 898, 13315, 519, 6724, 540, 519, 2039, 267, 1535, 267, 543, 4644, 2157, 538, 513, 4542, 545, 1935, 547, 6871, 20823, 780, 20368, 2678, 13517, 26275, 634, 10471, 547, 4983, 269, 2473, 630, 18893, 1308, 264, 634, 1871, 547, 7584, 538, 519, 1239, 1305, 269, 19043, 630, 18893, 1308, 264, 634, 1297, 540, 8918, 4025, 585, 24263, 269, 4347, 5435, 568, 476, 274, 780, 19284, 824, 6310, 3252, 267, 713, 16034, 513, 1871, 1369, 513, 9138, 1239, 2039, 269, 634, 1713, 5515, 666, 581, 4957, 676, 19249, 519, 4644, 4661, 610, 8246, 676, 6028, 621, 10145, 780, 1103, 606, 5604, 4259, 267, 9001, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 29211, 538, 1167, 518, 940, 9441, 2773, 12753, 1063, 13623, 269, 25021, 4464, 267, 9946, 941, 2111, 547, 10996, 643, 1125, 4600, 1247, 5009, 606, 5790, 540, 2635, 6735, 780, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 538, 9185, 281, 1818, 596, 1745, 899, 513, 18802, 1014, 267, 1256, 952, 596, 8959, 2979, 1362, 780, 2162, 6201, 540, 4635, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 538, 9185, 692, 2414, 946, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 9185, 267, 1934, 616, 519, 3268, 547, 1246, 1384, 272, 269, 23037, 519, 1239, 538, 26799, 1931, 563, 273, 269, 14419, 519, 30878, 7584, 547, 5173, 543, 3651, 621, 547, 513, 1591, 563, 274, 269, 2422, 519, 1599, 2387, 284, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 10490, 272, 281, 288, 1015, 267, 645, 272, 23375, 1141, 589, 272, 281, 288, 1015, 568, 519, 2039, 540, 2418, 547, 5659, 543, 645, 272, 568, 519, 1591, 609, 8655, 30878, 7584, 563, 275, 269, 634, 1267, 786, 581, 513, 8918, 1297, 10834, 519, 7584, 540, 519, 1871, 538, 6935, 547, 824, 2418, 563, 276, 269, 25092, 676, 476, 1911, 547, 1205, 513, 6871, 6041, 563, 277, 269, 1677, 3489, 25783, 290, 7728, 305, 3198, 298, 269, 2562, 290, 3079, 267, 3274, 1689, 12327, 290, 547, 5442, 290, 538, 1900, 476, 274, 780, 2005, 779, 1271, 547, 4063, 602, 713, 1599, 949, 711, 3132, 4977, 2164, 609, 1507, 3732, 7306, 610, 1875, 5991, 5436, 3892, 540, 1239, 269, 1677, 2087, 6111, 267, 621, 779, 5227, 547, 2333, 3732, 2450, 610, 946, 824, 8579, 2409, 971, 607, 14415, 3796, 610, 3044, 11539, 780, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 281, 1141, 2979, 10742, 9547, 267, 1317, 945, 3085, 1406, 2648, 513, 9985, 19486, 1305, 540, 1239, 2496, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 568, 519, 1259, 547, 1205, 811, 5730, 2164, 538, 1239, 2079, 269, 898, 568, 5488, 543, 10597, 7607, 269, 898, 814, 2640, 936, 824, 2147, 3252, 269, 1284, 3580, 8495, 519, 5383, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 998, 1079, 1016, 21827, 1384, 272, 269, 6452, 23847, 543, 14568, 11778, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 454, 273, 269, 5384, 4149, 3058, 543, 21252, 538, 4578, 5811, 692, 2162, 6452, 23847, 543, 14568, 11778, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 692, 763, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 9185, 666, 1683, 4977, 543, 4824, 4093, 950, 1031, 14013, 269, 898, 568, 513, 3532, 1907, 602, 666, 7584, 2418, 1369, 513, 10471, 543, 1683, 4030, 883, 519, 3892, 540, 1346, 2418, 269, 1635, 7598, 713, 1599, 267, 835, 666, 5173, 519, 3448, 2990, 540, 513, 9138, 1871, 1369, 513, 2016, 2039, 3533, 543, 7561, 780, 11101, 267, 609, 519, 946, 540, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 267, 621, 3587, 4443, 547, 4612, 1804, 1239, 5036, 607, 621, 2488, 606, 2653, 3562, 268, 16187, 30878, 20823, 585, 1142, 1367, 1871, 269, 901, 666, 581, 3730, 538, 1585, 4610, 267, 1519, 8804, 267, 9297, 543, 7194, 269, 634, 1599, 711, 1152, 2337, 538, 16208, 1239, 855, 849, 5713, 607, 513, 3044, 2268, 585, 9236, 1804, 5036, 540, 1239, 780, 3080, 2189, 4183, 568, 922, 2702, 547, 5173, 3665, 2600, 3796, 1141, 1022, 1297, 3152, 982, 610, 3160, 547, 476, 272, 610, 1447, 982, 610, 3160, 547, 476, 271, 666, 581, 5462, 8308, 269, 898, 568, 4277, 547, 917, 602, 1034, 824, 2645, 1419, 5180, 1055, 971, 2338, 267, 3056, 547, 25619, 2164, 780, 3682, 17785, 281, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 16881, 5488, 2773, 676, 4393, 3677, 14449, 282, 2705, 267, 621, 568, 1898, 547, 6218, 519, 11378, 1354, 1210, 873, 607, 11234, 3403, 7440, 1223, 1291, 547, 11234, 2164, 780, 24591, 942, 543, 2057, 3750, 8833, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1107, 707, 20148, 786, 9684, 596, 585, 711, 2695, 842, 532, 693, 11995, 9343, 540, 1239, 780, 2162, 5384, 4149, 3058, 543, 21252, 538, 4578, 5811, 692, 16655, 30093, 21252, 538, 4578, 5811, 609, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 9577, 692, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 3091, 3875, 2640, 585, 1239, 2079, 676, 3246, 513, 2656, 543, 2653, 1259, 547, 5173, 30878, 7584, 540, 513, 1871, 1369, 513, 2016, 10471, 269, 901, 3532, 1907, 666, 4688, 942, 543, 5818, 4398, 1247, 1818, 4977, 3664, 1759, 593, 519, 1239, 693, 1688, 780, 3528, 1210, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 267, 19767, 666, 3362, 2697, 519, 3448, 2990, 540, 513, 1871, 610, 1305, 540, 2418, 609, 2463, 547, 519, 3003, 10471, 269, 901, 2337, 538, 9236, 1239, 2798, 2066, 1114, 5712, 610, 12415, 267, 3850, 585, 1732, 7678, 2079, 543, 5483, 3375, 6194, 780, 11101, 267, 713, 1599, 568, 3810, 22537, 547, 1804, 14449, 1510, 18731, 6111, 269, 898, 13333, 24847, 1256, 593, 1950, 9273, 543, 2337, 2061, 6959, 602, 1522, 8451, 689, 18570, 610, 19003, 4247, 780, 19604, 1145, 519, 1379, 540, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 538, 707, 3232, 1239, 2079, 6296, 269, 3399, 16734, 922, 1761, 2221, 543, 2760, 4413, 856, 593, 1271, 4030, 602, 2285, 596, 606, 6316, 936, 15712, 2439, 1012, 12866, 4270, 11860, 852, 333, 12700, 6168, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 281, 9185, 4813, 27909, 4112, 7134, 1384, 1892, 32273, 483, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 568, 606, 9185, 8579, 1599, 1031, 547, 3313, 519, 7584, 540, 513, 2016, 1871, 538, 513, 10471, 607, 513, 6871, 269, 630, 13126, 281, 9185, 27826, 994, 1892, 32273, 483, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 7024, 513, 8918, 1871, 1063, 476, 271, 543, 476, 272, 267, 10834, 519, 6871, 7584, 540, 519, 1871, 538, 519, 10471, 269, 630, 13126, 281, 1401, 576, 2741, 760, 994, 1892, 32273, 483, 634, 16105, 585, 519, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 4542, 568, 968, 284, 25807, 290, 7728, 305, 3198, 298, 9950, 311, 290, 263, 6783, 267, 1535, 267, 1496, 338, 22658, 5091, 580, 1080, 8079, 5608, 1141, 5044, 568, 519, 2039, 540, 2281, 5627, 519, 2418, 547, 7584, 267, 1535, 568, 519, 1871, 585, 799, 547, 3313, 519, 7584, 267, 543, 1496, 338, 22658, 5091, 580, 1080, 316, 568, 606, 18593, 4661, 547, 14574, 519, 1297, 540, 8918, 4025, 547, 5180, 519, 1267, 547, 269, 630, 13126, 281, 24619, 9917, 16587, 994, 1892, 32273, 483, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 568, 3730, 585, 7421, 1239, 14778, 543, 8159, 30878, 31213, 267, 971, 607, 538, 8804, 543, 9297, 3156, 269, 630, 13126, 281, 23654, 16010, 4659, 994, 1892, 32273, 483, 634, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 1599, 568, 606, 6454, 936, 519, 4587, 25783, 290, 7728, 305, 3198, 298, 1599, 267, 607, 621, 20362, 7584, 9273, 811, 8308, 585, 14449, 609, 18110, 2418, 269, 630, 13126, 281, 9185, 28941, 2020, 1012, 14174, 17988, 827, 20587, 17213, 269, 2750, 322, 281, 9185, 4813, 27909, 4112, 7134, 692, 2162, 1548, 568, 25783, 290, 7728, 305, 3198, 298, 9950, 311, 290, 543, 875, 1281, 621, 960, 2496, 25807, 290, 7728, 305 ]

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

[ 941, 711, 7318, 269, 3143, 2963, 729, 1336, 540, 8143, 5198, 332, 1436, 2390, 7296, 540, 561, 268, 618, 3128, 547, 513, 546, 266, 331, 7848, 563, 2108, 300, 550, 3128, 892, 630, 328, 4318, 1421, 476, 276, 2173, 14007, 268, 273, 24179, 272, 2173, 996, 1803, 628, 2643, 264, 7094, 334, 28411, 12935, 267, 595, 1015, 295, 736, 302, 264, 568, 513, 1768, 5155, 1355, 4568, 1336, 538, 519, 3282, 540, 20511, 2371, 267, 971, 607, 22895, 3873, 14039, 704, 7534, 630, 701, 653, 1069, 842, 264, 543, 22895, 3873, 818, 341, 18424, 630, 25468, 332, 842, 1040, 901, 4568, 19299, 1614, 669, 12637, 16087, 976, 269, 1306, 971, 267, 621, 666, 2291, 538, 476, 2537, 815, 476, 279, 1114, 8305, 12251, 9593, 545, 3029, 607, 2185, 679, 21468, 9593, 545, 8424, 269, 1280, 1142, 971, 968, 323, 267, 272, 892, 6292, 267, 519, 1079, 3029, 616, 20060, 10967, 574, 1842, 762, 11604, 2592, 540, 835, 1776, 269, 634, 546, 1106, 814, 513, 968, 1372, 868, 2928, 582, 2218, 892, 630, 22018, 3772, 264, 1198, 593, 7077, 1790, 6897, 1242, 1769, 267, 543, 519, 561, 1106, 814, 513, 968, 4582, 528, 582, 2218, 892, 630, 322, 3300, 22018, 3772, 264, 1198, 269, 7102, 6292, 3144, 689, 519, 5216, 3029, 602, 616, 711, 679, 21468, 12002, 540, 835, 1776, 630, 324, 3052, 1421, 561, 268, 618, 3128, 543, 561, 16250, 30291, 3128, 264, 616, 1019, 770, 699, 12002, 267, 602, 568, 267, 20060, 10967, 574, 1842, 762, 7135, 602, 616, 849, 711, 11604, 2592, 540, 835, 1776, 269, 8447, 3601, 971, 607, 11517, 2604, 543, 14495, 1448, 786, 581, 9838, 1369, 1022, 2016, 679, 21468, 9593, 545, 6292, 855, 1114, 585, 1019, 770, 699, 12002, 269, 11576, 800, 3601, 666, 581, 1360, 1114, 1369, 513, 2016, 679, 21468, 9593, 545, 6292, 543, 1851, 1019, 770, 699, 12002, 269, 634, 1249, 602, 1480, 10153, 16371, 13364, 2270, 669, 12637, 2516, 543, 666, 10646, 1063, 930, 679, 21468, 12002, 568, 7152, 676, 519, 3982, 1947, 1114, 1085, 757, 540, 1286, 12537, 543, 884, 1301, 842, 267, 799, 616, 1813, 547, 519, 1079, 679, 21468, 9593, 545, 3029, 540, 835, 7623, 267, 1286, 341, 821, 563, 20332, 543, 24704, 3029, 540, 968, 618, 3128, 892, 723, 1044, 1031, 607, 7657, 1681, 5820, 538, 30143, 267, 1476, 1254, 776, 2472, 267, 5711, 1072, 2472, 267, 936, 7308, 23716, 31534, 267, 543, 10269, 2472, 630, 289, 6324, 1442, 267, 476, 1220, 280, 282, 16441, 267, 1772, 8475, 548, 267, 17292, 10290, 267, 1299, 623, 1678, 578, 267, 476, 1001, 271, 282, 3131, 325, 31899, 267, 476, 2735, 276, 1040, 634, 12939, 1377, 585, 14815, 540, 513, 968, 322, 944, 532, 892, 1198, 568, 1454, 2539, 585, 561, 268, 618, 3128, 630, 10440, 630, 6629, 9984, 618, 3128, 610, 630, 272, 305, 267, 273, 306, 267, 276, 305, 9984, 618, 3128, 264, 982, 585, 667, 268, 618, 3128, 630, 10440, 22791, 9984, 618, 3128, 610, 630, 272, 306, 267, 273, 305, 267, 276, 306, 9984, 618, 3128, 264, 610, 585, 1022, 540, 519, 824, 8305, 12251, 12002, 630, 31319, 3380, 267, 476, 1960, 275, 282, 2506, 31000, 1299, 14929, 335, 267, 476, 2735, 276, 1916, 292, 3088, 3455, 543, 14929, 335, 630, 2735, 276, 264, 1867, 585, 890, 653, 1069, 842, 3282, 602, 630, 320, 264, 6497, 3128, 267, 683, 30291, 3128, 267, 568, 30291, 3128, 267, 543, 683, 12251, 30291, 3128, 3029, 616, 782, 1459, 282, 630, 321, 264, 540, 891, 267, 519, 6497, 3128, 3029, 17663, 3436, 3445, 260, 540, 519, 2698, 968, 618, 3128, 338, 31865, 543, 630, 322, 264, 561, 268, 618, 3128, 7494, 2392, 558, 7149, 630, 285, 4200, 8472, 936, 667, 268, 618, 3128, 630, 5408, 849, 15015, 324, 267, 5975, 16210, 267, 4728, 328, 267, 962, 9461, 267, 1299, 19151, 267, 476, 1001, 271, 282, 744, 9545, 1299, 918, 2335, 267, 476, 1220, 272, 282, 19453, 1696, 620, 1421, 476, 1220, 276, 1040, 1306, 7074, 267, 1019, 770, 699, 12002, 723, 1114, 2168, 3601, 269, 901, 2636, 9668, 676, 2757, 1797, 540, 519, 6497, 3128, 338, 689, 519, 683, 558, 996, 11169, 267, 568, 30291, 3128, 338, 267, 543, 683, 12251, 30291, 3128, 338, 538, 2067, 2472, 269, 8830, 2305, 676, 16358, 1436, 689, 2067, 20511, 11041, 666, 7551, 1291, 547, 5176, 6986, 561, 268, 618, 3128, 630, 292, 3088, 3455, 1299, 14929, 335, 267, 476, 2735, 276, 1040, 16522, 24312, 267, 11507, 616, 2139, 602, 1291, 547, 5198, 6193, 546, 266, 331, 6497, 3128, 607, 1134, 607, 679, 656, 11340, 675, 561, 268, 618, 3128, 630, 295, 31463, 267, 476, 1960, 274, 1040, 634, 476, 1220, 278, 5001, 2504, 540, 968, 618, 3128, 892, 729, 476, 866, 267, 1822, 11973, 9748, 540, 799, 827, 476, 1839, 260, 729, 1031, 538, 10269, 2472, 630, 5141, 1046, 267, 476, 1220, 278, 1916, 763, 2139, 10269, 2872, 6054, 630, 10674, 2517, 5586, 2329, 7456, 3869, 269, 1075, 338, 325, 12975, 270, 264, 616, 24813, 607, 547, 2436, 835, 610, 811, 3029, 540, 968, 618, 3128, 892, 723, 1044, 1031, 538, 10269, 2472, 855, 798, 1445, 3592, 14311, 593, 519, 546, 268, 543, 561, 268, 618, 3128, 6292, 543, 538, 1880, 593, 561, 268, 618, 3128, 269, 9717, 519, 16854, 2956, 540, 6497, 3128, 730, 10269, 2472, 267, 649, 1265, 621, 27314, 602, 519, 3621, 3332, 568, 1934, 1729, 1150, 5176, 14980, 593, 519, 3029, 540, 968, 618, 3128, 892, 538, 13189, 543, 15137, 6804, 10269, 630, 20784, 307, 264, 2472, 267, 4849, 602, 538, 606, 2376, 689, 31240, 650, 731, 267, 1261, 1188, 630, 1001, 271, 264, 2829, 968, 13828, 561, 268, 618, 3128, 543, 546, 331, 268, 618, 3128, 616, 1031, 538, 10269, 2472, 1848, 3245, 681, 297, 32083, 30926, 7577, 267, 23045, 2006, 267, 3131, 325, 31899, 267, 543, 2672, 828, 630, 1960, 279, 264, 616, 13974, 11389, 557, 2718, 543, 1867, 593, 7403, 540, 519, 3448, 5666, 540, 546, 268, 543, 561, 268, 618, 3128, 538, 5023, 31683, 267, 26025, 267, 1310, 3333, 1511, 2603, 542, 1835, 11726, 1889, 632, 6497, 515, 267, 543, 2960, 7738, 21181, 855, 711, 538, 1022, 10269, 2472, 281, 2901, 1100, 7403, 593, 10269, 2472, 941, 1500, 538, 519, 5817, 1353, 676, 891, 17722, 24261, 3744, 610, 789, 941, 609, 18988, 689, 519, 8313, 269, 5047, 267, 649, 616, 711, 3222, 540, 1022, 5359, 540, 519, 3029, 540, 968, 618, 3128, 892, 1336, 538, 16906, 8673, 267, 585, 1383, 267, 2436, 519, 5210, 602, 616, 6913, 538, 513, 8781, 16906, 666, 5687, 958, 5198, 332, 1125, 561, 268, 618, 3128, 547, 546, 266, 272, 6497, 3128, 563, 763, 3668, 540, 1344, 602, 6818, 547, 4266, 593, 519, 3029, 540, 968, 618, 3128, 892, 538, 10269, 2472, 6763, 538, 22880, 4334, 547, 519, 11999, 2956, 540, 6497, 3128, 730, 10269, 2472, 269, 11569, 267, 6497, 3128, 568, 4867, 519, 1152, 968, 30726, 1944, 8137, 892, 4847, 538, 13189, 538, 519, 772, 2529, 269, 2344, 630, 23991, 25003, 10644, 543, 30926, 6513, 543, 8549, 4825, 790, 618, 21637, 267, 476, 1220, 280, 1040, 1656, 267, 1759, 593, 13189, 4421, 267, 519, 2344, 2671, 540, 6497, 3128, 13189, 538, 519, 2136, 2276, 538, 476, 1220, 272, 729, 6059, 547, 581, 476, 2918, 260, 630, 293, 3985, 11780, 8189, 267, 476, 1220, 274, 1040, 5015, 267, 6497, 3128, 13189, 616, 2442, 18368, 281, 16902, 990, 3626, 1696, 620, 269, 630, 1220, 275, 264, 4080, 602, 538, 519, 13372, 267, 23759, 3019, 267, 15173, 15158, 267, 543, 14135, 267, 519, 2344, 2671, 540, 6497, 3128, 13189, 630, 22372, 593, 2338, 540, 13189, 4421, 264, 814, 1044, 3980, 376, 2568, 9077, 476, 2412, 9077, 476, 2918, 9077, 543, 476, 2420, 9077, 6606, 269, 14936, 267, 6497, 3128, 568, 849, 606, 1271, 8137, 538, 20793, 307, 2472, 269, 589, 5619, 5645, 856, 538, 519, 1533, 540, 1715, 14948, 630, 17206, 540, 6925, 543, 19239, 3588, 540, 1715, 14948, 1765, 18662, 540, 5398, 2657, 267, 476, 1220, 277, 264, 4951, 602, 267, 1851, 519, 7657, 1819, 2472, 267, 519, 968, 332, 842, 892, 7121, 630, 5976, 968, 618, 3128, 892, 607, 519, 3119, 8137, 656, 264, 729, 2034, 1034, 2442, 267, 5612, 3297, 968, 342, 5793, 13582, 1848, 630, 14454, 267, 7657, 1819, 2472, 607, 513, 1895, 941, 1336, 547, 2272, 585, 3436, 2568, 260, 540, 782, 20793, 307, 4421, 1063, 476, 1220, 274, 543, 476, 1220, 276, 8094, 763, 1857, 1072, 2360, 540, 6497, 3128, 730, 13189, 723, 1044, 11567, 538, 3875, 16917, 8344, 2090, 269, 769, 513, 2487, 6497, 3128, 7110, 547, 519, 4760, 24251, 267, 1239, 616, 5941, 602, 5815, 630, 320, 264, 25409, 2362, 3928, 540, 6497, 3128, 16906, 7296, 585, 2349, 2931, 543, 1762, 4079, 543, 602, 16718, 8942, 1851, 6497, 3128, 21596, 630, 31860, 2349, 2931, 264, 616, 1447, 3811, 982, 1851, 1875, 618, 3128, 21596, 630, 1805, 1695, 516, 267, 21411, 8500, 655, 328, 267, 9478, 267, 1299, 17540, 267, 476, 1001, 271, 282, 2558, 514, 21059, 267, 28828, 345, 21178, 762, 267, 11619, 518, 267, 6519, 267, 1299, 623, 15127, 267, 476, 1001, 271, 264, 543, 630, 321, 264, 1762, 2937, 562, 1180, 2905, 21596, 945, 8673, 6497, 3128, 13189, 1397, 3152, 15522, 13829, 982, 1346, 7296, 1875, 618, 3128, 13189, 630, 288, 6062, 329, 5271, 344, 577, 1299, 16110, 267, 476, 1001, 271, 1040, 25792, 3123, 540, 3152, 2800, 689, 6497, 3128, 730, 13189, 1331, 630, 320, 264, 519, 2702, 540, 968, 618, 3128, 892, 547, 9633, 519, 10792, 1145, 540, 10269, 8673, 3850, 4443, 543, 4514, 32480, 540, 6497, 3128, 730, 10269, 8673, 630, 310, 599, 928, 1299, 1230, 333, 14709, 267, 476, 1220, 275, 282, 674, 1961, 344, 267, 9796, 928, 267, 1299, 681, 2532, 3626, 267, 476, 3192, 272, 1070, 799, 1131, 1118, 6497, 3128, 730, 13189, 5732, 811, 22925, 607, 1134, 607, 10694, 607, 968, 560, 6621, 892, 2472, 630, 27802, 766, 18816, 543, 10076, 2657, 7896, 10029, 267, 8433, 540, 11930, 5525, 267, 476, 1220, 280, 5148, 630, 321, 264, 606, 15717, 676, 6497, 3128, 540, 10894, 24999, 540, 15522, 630, 13051, 578, 6308, 267, 4173, 516, 571, 267, 1299, 15243, 267, 476, 1220, 275, 5148, 543, 630, 322, 264, 519, 22629, 540, 519, 19140, 2305, 540, 519, 10269, 10391, 6491, 4592, 8533, 630, 4811, 2793, 264, 15910, 4094, 476, 275, 24179, 300, 14007, 27848, 4592, 3133, 334, 9984, 272, 24179, 274, 1790, 344, 5090, 2643, 9984, 272, 1532, 583, 12935, 630, 301, 2793, 299, 282, 4053, 13906, 1696, 620, 1421, 476, 1220, 280, 1040, 1280, 20793, 307, 267, 8293, 1512, 267, 31615, 345, 267, 543, 654, 1068, 345, 630, 1001, 271, 264, 723, 4080, 602, 968, 618, 3128, 892, 666, 3986, 519, 1098, 323, 1069, 531, 543, 1098, 321, 25458, 531, 21774, 540, 15522, 607, 1134, 607, 519, 570, 306, 2793, 715, 5991, 527, 4592, 517, 1941, 545, 13534, 630, 13585, 301, 1916, 763, 5571, 7521, 7282, 519, 2360, 540, 968, 618, 3128, 892, 538, 10269, 2472, 630, 324, 3052, 1421, 589, 6062, 329, 5271, 344, 577, 1299, 12275, 21884, 267, 476, 1220, 275, 282, 8493, 10719, 1299, 18412, 267, 476, 1220, 280, 282, 1261, 1188, 267, 476, 1001, 271, 282, 31722, 1299, 1230, 333, 14709, 267, 476, 1220, 275, 282, 654, 518, 2917, 267, 595, 17344, 1231, 267, 1299, 10557, 267, 476, 1220, 278, 264, 568, 1476, 15903, 676, 519, 1950, 10444, 543, 23020, 2360, 540, 519, 968, 618, 3128, 892, 7135, 269, 1280, 1383, 267, 1970, 270, 628, 11611, 2157, 540, 561, 268, 618, 3128, 666, 6556, 513, 9023, 14815, 267, 6466, 513, 8337, 14815, 543, 5924, 2960, 16698, 723, 1044, 4080, 585, 2362, 2157, 630, 31319, 3380, 267, 476, 1960, 275, 1040, 9919, 30503, 3089, 328, 267, 31722, 267, 1230, 333, 14709, 267, 623, 1678, 578, 267, 543, 26284, 630, 1220, 276, 264, 1867, 968, 618, 3128, 892, 2157, 538, 13189, 607, 8151, 689, 476, 272, 269, 277, 547, 476, 275, 269, 274, 8406, 829, 16906, 267, 855, 547, 938, 1702, 267, 1100, 5359, 2291, 538, 519, 3332, 593, 829, 16906, 5838, 625, 676, 6497, 3128, 730, 13189, 282, 1261, 1188, 630, 1001, 271, 264, 1281, 13712, 513, 4483, 4398, 630, 5228, 11425, 547, 13416, 8673, 264, 540, 3980, 376, 1015, 260, 585, 4207, 13189, 269, 1280, 20511, 1922, 15442, 1819, 20793, 307, 267, 16441, 1696, 620, 269, 630, 1001, 271, 264, 1867, 6497, 3128, 2157, 8151, 689, 476, 271, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19523, 454, 5228, 23094, 1104, 2608, 692, 258, 16710, 1899, 21261, 10992, 454, 339, 787, 912, 825, 7746, 318, 5417, 816, 815, 19523, 27769, 341, 314, 272, 2639, 825, 562, 318, 1636, 815, 703, 4433, 903, 27769, 341, 314, 273, 7481, 825, 556, 336, 6831, 1712, 815, 703, 4433, 903, 27769, 341, 314, 274, 7481, 825, 20444, 326, 815, 19523, 27769, 341, 314, 275, 2639, 21955, 28759, 912, 825, 1820, 2891, 763, 2034, 543, 3791, 7440, 1058, 581, 8870, 5602, 825, 19523, 20216, 527, 263, 272, 2020, 258, 1711, 27427, 23094, 585, 7746, 267, 693, 7098, 591, 2232, 543, 562, 318, 1636, 454, 743, 1304, 306, 12714, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 318, 4306, 3918, 4456, 994, 743, 1304, 306, 12714, 269, 6618, 9230, 338, 13996, 318, 5417, 816, 267, 562, 318, 1636, 4917, 258, 6494, 519, 7662, 3009, 547, 519, 7746, 454, 743, 1304, 306, 12714, 4732, 754, 19304, 263, 516, 336, 6831, 1712, 1040, 523, 13892, 15405, 258, 4309, 519, 678, 318, 1636, 7746, 6494, 1394, 454, 337, 318, 1636, 815, 7817, 306, 12714, 269, 13440, 341, 263, 9083, 275, 1040, 1372, 13892, 4590, 258, 2673, 519, 27427, 4276, 454, 743, 1304, 306, 12714, 25379, 4590, 258, 2638, 952, 7817, 1683, 519, 2953, 7662, 3009, 610, 711, 563, 258, 769, 519, 2013, 540, 4636, 7662, 3009, 267, 519, 7817, 786, 711, 4309, 4376, 689, 519, 7746, 2676, 258, 8754, 606, 8900, 5569, 568, 3379, 454, 604, 678, 318, 1636, 2652, 1412, 12466, 825, 1820, 2891, 743, 1304, 1683, 4636, 556, 336, 6831, 1712, 5602, 825, 19523, 20216, 527, 263, 272, 2020, 258, 1820, 6600, 257, 5141, 1304, 4309, 678, 318, 1636, 815, 2715, 337, 318, 1636, 348, 15419, 258, 2991, 8391, 519, 678, 318, 1636, 267, 1711, 606, 772, 7894, 23094, 454, 9558, 318, 743, 1304, 306, 12714, 815, 23094, 10490, 293, 318, 2562, 4953, 267, 590, 8016, 298, 32707, 16165, 4456, 994, 258, 6494, 519, 20444, 326, 547, 519, 7746, 781, 678, 318, 1636, 1210, 519, 772, 7894, 23094, 454, 9558, 318, 743, 1304, 306, 12714, 4732, 754, 1729, 263, 916, 326, 269, 523, 13892, 19572, 630, 338, 13996, 318, 5417, 816, 267, 703, 16868, 318, 1636, 21875, 258, 4309, 519, 9168, 20444, 326, 689, 519, 7746, 267, 1820, 856, 543, 14827, 563, 7116, 1881, 916, 326, 267, 7746, 11754, 816, 815, 3690, 318, 743, 1304, 306, 12714, 269, 13440, 341, 5228, 263, 9083, 275, 994, 2745, 263, 7116, 1881, 916, 326, 19709, 13892, 15405, 9558, 318, 743, 1304, 306, 12714, 25379, 4590, 0, 258, 8073, 513, 1362, 547, 3180, 513, 2749, 4087, 269, 11910, 519, 1362, 834, 30949, 2668, 898, 1058, 723, 454, 258, 4610, 585, 2012, 267, 20173, 267, 543, 29978, 780, 258, 570, 7495, 302, 692, 258, 1284, 723, 513, 4015, 540, 2475, 4872, 609, 2551, 936, 476, 16020, 267, 1822, 6740, 538, 519, 454, 258, 3758, 834, 322, 885, 27406, 2668, 630, 5425, 309, 6763, 585, 834, 1260, 2742, 5498, 1706, 730, 2418, 2668, 994, 16482, 258, 2422, 5124, 781, 3710, 2987, 834, 322, 12364, 257, 9074, 547, 1224, 713, 3758, 865, 602, 1142, 2594, 568, 454, 258, 16865, 883, 513, 4975, 3236, 269, 630, 2791, 2811, 1863, 547, 1039, 811, 10305, 547, 519, 4975, 454, 258, 1362, 952, 596, 6999, 267, 855, 713, 568, 711, 2556, 4700, 5616, 834, 7090, 476, 274, 26417, 257, 585, 454, 258, 8100, 543, 946, 707, 5616, 1922, 340, 585, 824, 1806, 563, 16482, 258, 15188, 519, 8320, 538, 519, 834, 322, 885, 257, 1592, 267, 2630, 563, 16482, 258, 8074, 602, 519, 1101, 1899, 540, 519, 11483, 309, 568, 20927, 602, 6257, 519, 4610, 734, 10472, 454, 258, 1058, 711, 581, 16041, 883, 513, 4975, 1843, 780, 5814, 26417, 454, 258, 1930, 4872, 27406, 3758, 1287, 1224, 689, 621, 563, 5976, 1930, 3488, 322, 885, 27406, 3299, 1007, 1467, 284, 5257, 264, 607, 535, 912, 476, 5467, 815, 26417, 18667, 518, 6600, 267, 1642, 574, 3438, 284, 3299, 3299, 10839, 10420, 8782, 347, 17210, 476, 1948, 18178, 513, 1899, 1287, 1820, 1899, 585, 1169, 2582, 2749, 454, 476, 1985, 6600, 994, 476, 4872, 815, 1496, 1467, 585, 1899, 538, 5467, 6540, 258, 2673, 3758, 454, 325, 25379, 30800, 258, 570, 7495, 302, 692, 258, 7179, 519, 1592, 540, 4872, 630, 4067, 267, 4234, 267, 10693, 1070, 476, 272, 2594, 829, 1899, 563, 1721, 1142, 538, 4872, 912, 476, 1820, 3488, 346, 9574, 2715, 9574, 15079, 8339, 8971, 16216, 778, 314, 271, 3910, 1142, 314, 274, 3910, 1142, 314, 275, 8079, 2020, 258, 570, 7495, 302, 692, 258, 2878, 265, 5254, 3918, 307, 6224, 23184, 3201, 256, 2878, 20330, 16482, 258, 14190, 519, 3593, 547, 3403, 1079, 2798, 267, 1142, 9138, 676, 20173, 543, 29978, 563, 258, 1452, 2798, 1106, 519, 15174, 540, 513, 4234, 15828, 517, 4009, 269, 19243, 519, 4872, 602, 2887, 454, 258, 1369, 713, 4009, 563, 16482, 258, 2142, 3222, 602, 519, 3593, 1223, 14574, 2901, 513, 2539, 268, 3847, 270, 21639, 28878, 6292, 540, 454, 258, 10974, 267, 610, 606, 5580, 268, 3847, 270, 12294, 28878, 6292, 540, 10974, 269, 670, 842, 281, 3339, 1125, 454, 258, 519, 3403, 1239, 865, 602, 621, 781, 2141, 835, 610, 519, 824, 267, 1287, 3406, 585, 4872, 563, 16482, 258, 7151, 594, 23860, 912, 16482, 258, 9373, 4234, 272, 267, 23127, 272, 281, 476, 3393, 16427, 1911, 454, 258, 9373, 4234, 273, 267, 23127, 273, 281, 476, 3953, 16427, 6344, 454, 258, 19186, 340, 20960, 4302, 281, 630, 3374, 269, 10755, 276, 16427, 11793, 269, 5038, 278, 277, 994, 258, 23117, 728, 281, 630, 3451, 269, 280, 4343, 273, 16427, 14056, 269, 4375, 275, 280, 994, 258, 5842, 17630, 281, 630, 3953, 269, 279, 4029, 273, 16427, 14056, 269, 14338, 276, 994, 258, 11968, 13353, 281, 630, 4097, 269, 14625, 16427, 14093, 269, 32076, 279, 994, 258, 20098, 30988, 281, 630, 3607, 269, 25248, 279, 16427, 12893, 269, 18605, 274, 994, 258, 28631, 281, 630, 4375, 269, 278, 7830, 272, 16427, 10441, 269, 279, 4037, 280, 994, 258, 27925, 281, 630, 3451, 269, 6872, 273, 273, 16427, 12208, 269, 5400, 280, 272, 994, 258, 570, 1075, 5459, 281, 630, 3953, 269, 14028, 279, 16427, 8099, 269, 279, 6507, 278, 994, 258, 17865, 8235, 4975, 281, 630, 2412, 269, 6507, 278, 275, 16427, 9340, 269, 280, 1789, 272, 2020, 258, 570, 7495, 302, 692, 27785, 24927, 815, 1412, 14140, 28847, 2745, 28361, 333, 14826, 14826, 14826, 11767, 4678, 543, 31701, 9674, 676, 635, 320, 24097, 333, 5073, 6112, 1612, 572, 24927, 2652, 1412, 14140, 12466, 476, 1948, 4894, 16543, 10628, 267, 5094, 5569, 676, 26893, 454, 476, 4717, 272, 815, 3403, 3488, 11767, 519, 674, 7644, 4306, 1305, 540, 10974, 14826, 285, 1412, 1040, 516, 2897, 3488, 22207, 15234, 1040, 20889, 2891, 2437, 994, 476, 1948, 2638, 585, 6959, 538, 3403, 454, 476, 952, 7003, 263, 1723, 867, 272, 264, 11203, 476, 273, 610, 1022, 16216, 778, 538, 4717, 272, 585, 1142, 538, 27835, 3299, 1412, 10086, 16585, 610, 1022, 16216, 778, 18994, 333, 10179, 545, 3890, 2652, 8771, 585, 1142, 538, 4717, 272, 2187, 825, 1820, 19629, 333, 11767, 1697, 10974, 26142, 333, 5602, 476, 3116, 912, 825, 1948, 1847, 547, 1985, 1247, 8520, 454, 825, 1612, 572, 24927, 815, 1412, 16149, 7055, 825, 1820, 3488, 5073, 825, 2736, 692, 6112, 1612, 572, 24927, 2652, 1412, 16149, 12466, 476, 4717, 273, 815, 3403, 3488, 10938, 22444, 31631, 1305, 540, 10974, 14826, 285, 1412, 1040, 516, 2897, 3488, 22207, 15234, 1040, 20889, 2891, 2437, 994, 476, 952, 7003, 263, 1723, 867, 273, 264, 11203, 476, 273, 610, 1022, 16216, 778, 538, 4717, 273, 585, 1142, 538, 27835, 3299, 1412, 10086, 16585, 610, 1022, 16216, 778, 18994, 333, 10179, 545, 3890, 585, 1142, 538, 4717, 273, 264, 2652, 8771, 912, 825, 1820, 28361, 333, 11767, 1697, 10974, 14826, 5073, 476, 3116, 912, 825, 1820, 3488, 5073, 825, 2736, 692, 258, 5094, 873, 883, 10974, 609, 2462, 2418, 543, 1507, 2418, 454, 604, 4717, 272, 314, 271, 316, 10922, 4717, 273, 314, 271, 14158, 476, 2462, 10870, 867, 815, 1496, 1723, 867, 273, 314, 271, 27663, 476, 1507, 10870, 867, 815, 1496, 1723, 867, 272, 314, 271, 27663, 12828, 912, 476, 2462, 10870, 867, 815, 1496, 1723, 867, 272, 314, 271, 27663, 476, 1507, 10870, 867, 815, 1496, 1723, 867, 273, 314, 271, 316, 6540, 604, 4717, 272, 314, 272, 316, 10922, 4717, 273, 314, 272, 14158, 476, 2462, 10870, 867, 6910, 263, 1723, 867, 273, 314, 272, 7481, 476, 1507, 10870, 867, 6910, 263, 1723, 867, 272, 314, 272, 7481, 12828, 912, 476, 2462, 10870, 867, 6910, 263, 1723, 867, 272, 314, 272, 7481, 476, 1507, 10870, 867, 6910, 263, 1723, 867, 273, 314, 272, 20285, 258, 7179, 1142, 2749, 543, 922, 9757, 1533, 952, 621, 781, 1369, 519, 7470, 563, 1721, 1142, 538, 4872, 912, 476, 1948, 1142, 314, 274, 316, 815, 4234, 267, 1142, 314, 275, 316, 815, 10693, 454, 476, 952, 1507, 10870, 867, 314, 271, 316, 10922, 1142, 314, 274, 316, 10922, 2462, 10870, 867, 314, 271, 316, 543, 1507, 10870, 867, 314, 272, 316, 10922, 1142, 314, 275, 316, 10922, 2462, 10870, 867, 314, 272, 14158, 825, 1820, 3488, 30949, 281, 15079, 1422, 333, 13750, 281, 15079, 1422, 333, 10870, 15453, 281, 2715, 9574, 2715, 4153, 333, 8339, 8971, 16216, 778, 314, 271, 3910, 1142, 314, 272, 3910, 1142, 314, 274, 3910, 1142, 314, 275, 8079, 2020, 258, 2119, 476, 2412, 267, 910, 9873, 543, 476, 2004, 16427, 6344, 454, 258, 1058, 3132, 22208, 543, 24144, 454, 0, 12163, 13052, 2207, 290, 383, 491, 5746, 302, 476, 271, 3393, 281, 16677, 571, 267, 14466, 601, 552, 18806, 2227, 692, 290, 4471, 19804, 1982, 320, 6446, 3655, 9809, 320, 522, 1939, 11456, 28185, 541, 808, 7505, 335, 20110, 635, 4938, 17845, 563, 12163, 5228, 942, 1104, 3207, 454, 5228, 4351, 1104, 3903, 692, 3698, 10624, 10031, 825, 1820, 3488, 22296, 553, 1566, 9809, 383, 369, 525, 281, 5073, 825, 1820, 3488, 314, 476, 272, 9948, 623, 3633, 6938, 5073, 825, 1820, 3488, 314, 476, 273, 9948, 623, 4338, 5085, 5073, 825, 1820, 3488, 314, 476, 274, 9948, 570, 2464, 5495, 6938, 5073, 13872, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 8931, 825, 2585, 541, 815, 6936, 454, 825, 1247, 2585, 541, 912, 1038, 10624, 4590, 1038, 30458, 815, 18358, 303, 3633, 6938, 3299, 1412, 303, 4338, 5085, 3299, 1412, 307, 2464, 5495, 6938, 23300, 1038, 3593, 815, 703, 9272, 3488, 304, 783, 20527, 647, 320, 28185, 3385, 286, 1412, 4917, 1038, 28185, 11456, 815, 30458, 314, 12528, 268, 272, 2639, 1038, 1939, 11456, 815, 3903, 17338, 320, 994, 13872, 1038, 952, 28185, 11456, 2652, 30458, 314, 271, 316, 543, 1939, 11456, 2652, 30458, 1496, 272, 14158, 2018, 1820, 3488, 297, 302, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 298, 2894, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 303, 383, 498, 26008, 5073, 2018, 3207, 263, 272, 994, 2018, 1820, 28361, 333, 297, 690, 11456, 281, 15079, 8339, 8971, 27203, 690, 11456, 4917, 2018, 1820, 3488, 4467, 1584, 11456, 281, 15079, 8339, 8971, 263, 28669, 11456, 4917, 2018, 1820, 28361, 333, 5073, 2018, 1820, 3488, 4467, 1584, 11456, 966, 9970, 308, 256, 15079, 575, 534, 3873, 632, 15079, 256, 8339, 8971, 17338, 320, 314, 272, 3910, 30458, 314, 271, 28413, 1038, 8640, 28185, 11456, 2652, 30458, 314, 271, 316, 543, 1939, 11456, 2652, 30458, 314, 273, 14158, 2018, 1820, 3488, 297, 302, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 298, 2894, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 303, 383, 498, 26008, 5073, 2018, 3207, 263, 272, 994, 2018, 1820, 28361, 333, 297, 690, 11456, 281, 15079, 8339, 8971, 27203, 690, 11456, 4917, 2018, 1820, 3488, 4467, 1584, 11456, 281, 15079, 8339, 8971, 263, 28669, 11456, 4917, 2018, 1820, 28361, 333, 5073, 2018, 1820, 3488, 297, 690, 11456, 966, 9970, 308, 256, 15079, 575, 534, 3873, 632, 15079, 256, 8339, 8971, 17338, 320, 314, 271, 3910, 30458, 314, 273, 28413, 1038, 8640, 28185, 11456, 2652, 30458, 314, 272, 316, 543, 1939, 11456, 2652, 30458, 314, 271, 14158, 2018, 1820, 3488, 297, 302, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 298, 2894, 5073, 2018, 3207, 263, 273, 994, 2018, 1820, 3488, 303, 383, 498, 26008, 5073, 2018, 3207, 263, 272, 994, 2018, 1820 ]

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

[ 7055, 1038, 1247, 678, 912, 2018, 952, 1883, 2999, 678, 269, 4486, 912, 3546, 887, 331, 815, 1412, 3847, 7055, 2018, 8640, 1883, 3436, 678, 269, 4486, 281, 3097, 3546, 887, 331, 815, 1412, 2431, 7055, 2018, 3116, 912, 3546, 2132, 454, 2018, 952, 1205, 3430, 337, 16868, 267, 887, 331, 2187, 3546, 678, 815, 1205, 3430, 337, 16868, 267, 887, 331, 994, 2018, 3116, 912, 3546, 1305, 3430, 337, 16868, 267, 887, 331, 267, 1582, 269, 11966, 31107, 4917, 3546, 2132, 454, 3546, 1948, 1325, 2819, 972, 563, 1038, 1948, 1403, 7183, 568, 11402, 267, 6445, 519, 6843, 454, 1363, 7531, 825, 1219, 1820, 4311, 2187, 1038, 1582, 11519, 2745, 4311, 269, 10174, 994, 8931, 825, 1219, 9041, 2745, 4311, 267, 678, 2187, 1038, 952, 678, 912, 2018, 1582, 11519, 2745, 16868, 16000, 994, 2018, 1820, 16868, 269, 4486, 267, 1439, 8782, 30386, 2018, 1582, 11519, 2745, 16868, 16192, 9239, 825, 1948, 1219, 3568, 4311, 267, 737, 2187, 825, 1948, 672, 562, 815, 1582, 269, 10174, 454, 825, 1948, 672, 642, 815, 476, 272, 454, 825, 1948, 672, 1247, 562, 543, 562, 269, 4486, 11203, 737, 912, 825, 1948, 1363, 952, 737, 2999, 562, 269, 4486, 912, 825, 1948, 17264, 562, 815, 562, 16000, 454, 825, 1948, 1363, 3116, 912, 825, 1948, 17264, 562, 815, 562, 16192, 454, 825, 1948, 1363, 642, 6834, 476, 272, 454, 825, 1948, 672, 2132, 562, 568, 711, 7183, 267, 642, 952, 562, 3116, 7183, 692, 672, 692, 825, 1948, 1219, 9041, 935, 13935, 4311, 267, 678, 267, 737, 2187, 825, 1948, 672, 952, 678, 543, 678, 269, 4486, 11203, 737, 912, 825, 1948, 1363, 2132, 1582, 11519, 935, 13935, 16868, 16000, 267, 737, 264, 610, 1582, 11519, 935, 13935, 16868, 16192, 267, 737, 994, 13872, 825, 1948, 672, 2132, 678, 568, 711, 7183, 7531, 825, 1948, 1219, 3568, 4311, 267, 737, 2187, 825, 1948, 672, 2132, 1582, 11519, 935, 13935, 4311, 269, 10174, 267, 737, 2020, 8931, 825, 1219, 2450, 4311, 2187, 1038, 2132, 1582, 11519, 21653, 4311, 269, 10174, 994, 8931, 825, 1219, 9041, 21653, 4311, 267, 678, 2187, 1038, 952, 678, 568, 7183, 912, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 476, 272, 1341, 1582, 11519, 21653, 16868, 16000, 264, 1341, 1582, 11519, 21653, 16868, 16192, 2020, 16482, 258, 567, 10613, 547, 581, 6192, 454, 16482, 825, 1219, 9041, 19417, 4311, 267, 678, 2187, 1038, 952, 711, 678, 912, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 476, 272, 1341, 3193, 4311, 11519, 19417, 16868, 16000, 1070, 1582, 11519, 19417, 16868, 16192, 264, 9239, 825, 1219, 4463, 4311, 2567, 4449, 17264, 1948, 3281, 6160, 800, 454, 1038, 2132, 1582, 11519, 19417, 4311, 269, 10174, 994, 13872, 672, 692, 8931, 825, 1219, 4894, 4311, 267, 1883, 2567, 23351, 454, 1038, 1582, 269, 10174, 815, 1582, 11519, 24525, 4311, 269, 10174, 267, 1883, 994, 8931, 825, 1219, 9041, 24525, 4311, 267, 678, 267, 737, 2567, 23351, 1948, 3281, 6160, 800, 454, 1038, 952, 678, 568, 7183, 912, 2018, 2132, 7183, 454, 1038, 8640, 737, 2999, 678, 269, 4486, 912, 2018, 678, 16000, 815, 1582, 11519, 24525, 16868, 16000, 267, 737, 994, 1038, 8640, 737, 3436, 678, 269, 4486, 912, 2018, 678, 16192, 815, 1582, 11519, 24525, 16868, 16192, 267, 737, 994, 1038, 3116, 281, 1948, 901, 568, 519, 1883, 547, 581, 6569, 1038, 454, 2018, 952, 678, 16000, 568, 7183, 281, 672, 1948, 14168, 2013, 454, 3546, 2132, 678, 16192, 454, 2018, 8640, 678, 16192, 568, 7183, 281, 476, 1948, 4746, 2653, 2013, 22322, 3546, 2132, 678, 16000, 454, 2018, 3116, 281, 1948, 901, 568, 519, 16602, 2013, 563, 3546, 1948, 9540, 652, 538, 1318, 3529, 30283, 563, 3546, 678, 269, 4486, 815, 678, 16192, 4732, 332, 718, 652, 14061, 4486, 454, 3546, 678, 16192, 815, 1582, 11519, 24525, 16868, 16192, 267, 678, 269, 4486, 994, 4449, 672, 1948, 4855, 519, 10545, 1883, 538, 519, 1318, 5705, 872, 454, 4449, 672, 1948, 10925, 602, 1883, 538, 713, 6843, 454, 4449, 672, 1948, 17179, 602, 1883, 689, 519, 1318, 5705, 872, 454, 1038, 2132, 678, 1948, 5457, 713, 256, 898, 10039, 547, 930, 540, 519, 2665, 1657, 454, 672, 692, 8931, 825, 1219, 6449, 1598, 9191, 1345, 2567, 4449, 19930, 1948, 3281, 6160, 800, 454, 1038, 15981, 21803, 1505, 547, 581, 2111, 547, 1820, 454, 1038, 6041, 540, 5569, 563, 1038, 23288, 1038, 15358, 815, 22207, 29717, 21860, 19304, 16325, 264, 585, 1003, 538, 1582, 994, 1038, 2132, 535, 262, 283, 346, 333, 4548, 348, 285, 7055, 8931, 8931, 825, 1219, 547, 8217, 4311, 2567, 23351, 1948, 3281, 6160, 800, 454, 1038, 15981, 309, 611, 3331, 353, 337, 737, 558, 14658, 527, 564, 523, 1285, 546, 28225, 1558, 617, 888, 1038, 808, 698, 5636, 2367, 320, 1140, 737, 558, 14658, 527, 564, 523, 3331, 353, 337, 744, 3799, 1916, 1038, 5489, 3279, 546, 18033, 812, 621, 19907, 541, 3331, 370, 591, 959, 7564, 30956, 546, 7564, 337, 812, 454, 1038, 1199, 3954, 1558, 617, 19274, 606, 341, 7564, 837, 1412, 327, 8636, 541, 678, 7564, 1777, 262, 642, 573, 3097, 1038, 15254, 16660, 21767, 267, 812, 1531, 7238, 591, 703, 324, 1577, 320, 26627, 562, 18033, 326, 582, 9992, 18033, 333, 536, 23152, 13568, 454, 1038, 476, 3394, 563, 1038, 15981, 692, 1038, 2132, 1496, 11133, 585, 1003, 538, 1582, 6540, 8931, 8931, 825, 1219, 547, 318, 299, 22075, 8266, 4311, 2567, 4449, 8587, 1948, 3281, 6160, 800, 454, 1038, 15981, 309, 611, 3331, 353, 337, 737, 558, 14658, 527, 564, 523, 1285, 546, 28225, 1558, 617, 888, 1038, 670, 7564, 337, 3331, 353, 337, 737, 558, 14658, 527, 564, 523, 535, 23152, 21767, 523, 6830, 30138, 663, 324, 454, 1038, 744, 3799, 264, 9093, 1775, 642, 7564, 337, 560, 320, 2887, 521, 18033, 3331, 353, 337, 7696, 5106, 523, 522, 4242, 18033, 744, 3799, 994, 1038, 5489, 3279, 12908, 546, 18033, 744, 3799, 317, 273, 994, 1038, 23288, 1038, 32102, 815, 21912, 8266, 4590, 1038, 585, 1003, 538, 1582, 912, 2018, 32102, 27044, 16325, 994, 1038, 2132, 32102, 22562, 825, 1219, 9041, 328, 680, 4311, 267, 678, 267, 1377, 815, 476, 272, 2187, 1038, 952, 711, 678, 912, 2018, 1948, 12476, 2013, 540, 519, 16571, 542, 454, 2018, 2132, 476, 271, 454, 1038, 3116, 912, 2018, 2132, 1377, 1341, 1582, 11519, 328, 680, 16868, 16000, 267, 1377, 1341, 476, 272, 9385, 454, 2018, 1341, 1582, 11519, 328, 680, 16868, 16192, 267, 1377, 1341, 476, 272, 9239, 825, 1219, 1775, 680, 4311, 2567, 4449, 3546, 1948, 3281, 6160, 800, 454, 1038, 15981, 19686, 13059, 519, 4835, 2619, 7003, 724, 339, 454, 1038, 1210, 16571, 542, 563, 1038, 23288, 1038, 2132, 1582, 11519, 328, 680, 4311, 269, 10174, 994, 8931, 825, 1219, 700, 7563, 4311, 267, 513, 267, 536, 2187, 8931, 1038, 2132, 1582, 11519, 299, 7563, 4311, 269, 10174, 267, 513, 267, 536, 2020, 825, 1219, 9041, 299, 7563, 4311, 267, 678, 267, 513, 267, 536, 2187, 1038, 952, 678, 912, 2018, 952, 678, 16000, 912, 3546, 513, 18425, 318, 3847, 815, 678, 16000, 26769, 13935, 5416, 994, 3546, 536, 18425, 318, 3847, 815, 678, 16000, 26769, 13935, 6357, 994, 2018, 952, 678, 16192, 912, 3546, 513, 18425, 318, 2431, 815, 678, 16192, 26769, 13935, 5416, 994, 3546, 536, 18425, 318, 2431, 815, 678, 16192, 26769, 13935, 6357, 994, 2018, 952, 513, 18425, 318, 3847, 543, 536, 18425, 318, 3847, 912, 3546, 2132, 1582, 11519, 299, 7563, 16868, 16000, 267, 513, 267, 536, 994, 2018, 8640, 513, 18425, 318, 2431, 543, 536, 18425, 318, 2431, 912, 3546, 2132, 1582, 11519, 299, 7563, 16868, 16192, 267, 513, 267, 536, 994, 2018, 8640, 630, 320, 18425, 318, 3847, 543, 536, 18425, 318, 2431, 264, 610, 630, 321, 18425, 318, 3847, 543, 513, 18425, 318, 2431, 2187, 3546, 2132, 678, 269, 4486, 454, 2018, 3116, 912, 3546, 2132, 7183, 692, 8931, 8931, 3698, 4351, 4671, 872, 3799, 2567, 4449, 25639, 1948, 2422, 995, 454, 825, 512, 815, 645, 4306, 4590, 825, 1247, 512, 25915, 3890, 2999, 703, 3799, 2187, 1038, 512, 27044, 263, 1037, 263, 12690, 20179, 19572, 476, 277, 4917, 825, 2132, 512, 19638, 692, 3698, 1292, 10031, 825, 512, 815, 645, 4306, 4590, 825, 585, 1535, 538, 1496, 276, 267, 279, 267, 277, 267, 274, 267, 278, 267, 273, 267, 279, 267, 272, 267, 280, 14158, 1038, 512, 27044, 3287, 994, 825, 1820, 6025, 11482, 7563, 263, 280, 267, 278, 4917, 672, 7531, 825, 1948, 1820, 3488, 21653, 476, 2433, 22207, 512, 25915, 15405, 825, 1948, 585, 737, 538, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 280, 14158, 825, 1948, 672, 1820, 6600, 257, 935, 13935, 20719, 330, 348, 2567, 2715, 339, 26769, 13935, 17347, 14587, 15419, 825, 1948, 4530, 3009, 2630, 912, 825, 1948, 1820, 6025, 269, 19417, 15405, 825, 1948, 512, 31927, 263, 277, 994, 825, 1948, 512, 31428, 4590, 825, 1948, 1820, 4590, 825, 1948, 1820, 6025, 269, 19417, 15405, 825, 1948, 1948, 2745, 6025, 994, 825, 1948, 1376, 815, 942, 269, 704, 325, 6831, 3300, 4590, 825, 1948, 32102, 815, 512, 30419, 318, 299, 22075, 8266, 4590, 825, 1948, 1820, 263, 5503, 269, 704, 325, 6831, 3300, 3890, 910, 1376, 994, 825, 1948, 1376, 815, 942, 269, 704, 325, 6831, 3300, 4590, 825, 1948, 32102, 273, 815, 512, 30419, 8217, 4590, 825, 1948, 1820, 263, 5503, 269, 704, 325, 6831, 3300, 3890, 910, 1376, 994, 825, 1948, 2745, 6025, 269, 328, 680, 28829, 1911, 271, 692, 825, 1948, 8943, 547, 942, 3406, 538, 3529, 540, 2450, 562, 780, 825, 1948, 562, 272, 815, 3403, 2891, 10481, 588, 528, 548, 330, 281, 19515, 825, 1948, 536, 560, 815, 4351, 4671, 872, 3799, 272, 994, 825, 1948, 3086, 649, 1616, 547, 13182, 602, 519, 1297, 540, 6843, 11564, 5673, 454, 825, 1948, 517, 519, 1739, 4542, 25341, 715, 815, 476, 272, 269, 4375, 265, 8421, 273, 3799, 264, 1341, 744, 263, 272, 1040, 1924, 538, 938, 2013, 715, 815, 476, 272, 269, 4375, 265, 8421, 273, 263, 1911, 271, 264, 4114, 574, 520, 2917, 815, 476, 1691, 692, 825, 1948, 6843, 318, 6665, 1080, 815, 476, 271, 454, 825, 1948, 562, 815, 476, 4335, 876, 454, 825, 1948, 562, 5334, 25458, 815, 476, 271, 454, 825, 1948, 1285, 326, 24449, 815, 476, 271, 454, 825, 1948, 585, 9041, 538, 2039, 263, 1789, 2187, 825, 1948, 672, 536, 560, 815, 4351, 4671, 872, 3799, 272, 994, 825, 1948, 672, 562, 5334, 25458, 815, 476, 271, 454, 825, 1948, 672, 6843, 318, 6665, 1080, 815, 476, 271, 454, 825, 1948, 672, 585, 562, 273, 538, 2039, 3799, 2187, 825, 1948, 1363, 1775, 815, 5180, 263, 12690, 20179, 19572, 476, 277, 994, 825, 1948, 1363, 1967, 267, 3406, 318, 14310, 815, 536, 560, 26769, 13935, 9217, 994, 825, 1948, 1363, 952, 1967, 912, 825, 1948, 17264, 6843, 318, 6665, 1080, 6834, 3406, 318, 14310, 454, 825, 1948, 17264, 562, 5334, 25458, 6834, 476, 272, 454, 825, 1948, 672, 1285, 326, 24449, 6834, 6843, 318, 6665, 1080, 14672, 5334, 25458, 454, 825, 1948, 1948, 2398, 6493, 519, 3328, 1297, 540, 11564, 1310, 476, 4335, 876, 19707, 538, 476, 1789, 1114, 4054, 540, 519, 1482, 2450, 3097, 825, 1948, 1948, 6496, 711, 6556, 4010, 1018, 519, 4542, 3081, 267, 513, 3787, 2539, 563, 825, 1948, 1820, 9230, 822, 326, 24449, 1341, 476, 1789, 8358, 1789, 994, 672, 19638, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 8931, 8931, 8931, 8931, 8931, 12163, 1432, 568, 519, 1024, 1068, 528, 1434, 585, 888, 13117, 7529, 4499, 2525, 692, 272, 269, 7384, 2450, 286, 8786, 267, 835, 1223, 798, 621, 899, 713, 267, 2132, 7003, 19559, 585, 562, 538, 3529, 2639, 273, 269, 7384, 4463, 286, 5262, 2159, 607, 519, 11718, 1281, 711, 1832, 3950, 540, 1377, 454, 274, 269, 3568, 286, 17610, 9847, 2132, 1022, 8443, 333, 2652, 737, 585, 562, 538, 3529, 8079, 952, 737, 568, 519, 1871, 547, 581, 22646, 454, 275, 269, 7696, 286, 4746, 2352, 607, 596, 616, 1152, 2016, 519, 1883, 543, 711, 519, 4704, 547, 519, 19219, 3294, 454, 276, 269, 4894, 286, 910, 1475, 7042, 7531, 24342, 585, 1775, 680, 540, 4351, 4054, 454, 13117, 7529, 4499, 2525, 284, 19638, 1724, 269, 4962, 585, 3529, 540, 476, 1911, 271, 2609, 563, 692, 18851, 0, 258, 32458, 8894, 258, 808, 784, 11860, 2967, 18708, 454, 258, 795, 784 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1557, 2243, 269, 476, 1408, 1206, 1603, 4305, 476, 273, 630, 849, 1634, 607, 1557, 1603, 4305, 476, 1408, 1206, 1557, 1603, 264, 568, 519, 2034, 4305, 540, 707, 476, 1408, 1206, 1603, 1449, 269, 1934, 596, 786, 581, 4843, 609, 606, 1557, 1888, 596, 786, 581, 20639, 1759, 593, 707, 2702, 547, 4431, 547, 519, 1888, 269, 649, 2285, 1557, 1603, 4388, 543, 5796, 538, 938, 1863, 1353, 3391, 269, 3259, 540, 519, 1557, 269, 596, 616, 7363, 4397, 547, 2328, 5111, 476, 4968, 547, 476, 4335, 1913, 269, 585, 1034, 1053, 602, 1226, 919, 547, 835, 1079, 1688, 268, 2854, 476, 279, 269, 476, 276, 676, 476, 1556, 10759, 9212, 540, 1957, 563, 604, 707, 1557, 568, 5393, 2110, 267, 596, 786, 4309, 513, 4057, 6060, 593, 707, 1557, 1603, 4305, 269, 1934, 262, 521, 513, 2638, 1592, 585, 1603, 4305, 476, 273, 269, 1246, 713, 2638, 1592, 543, 596, 616, 16798, 547, 6060, 6512, 476, 278, 266, 538, 476, 1408, 1206, 1603, 269, 1101, 1055, 267, 1224, 1299, 1174, 519, 1888, 540, 519, 1557, 585, 1603, 4305, 476, 273, 269, 476, 1408, 1206, 1603, 4305, 476, 273, 3340, 596, 547, 2328, 606, 4081, 268, 2511, 1557, 593, 513, 1455, 1888, 269, 596, 723, 476, 2412, 3764, 547, 2328, 693, 2547, 476, 7742, 1913, 269, 4305, 476, 273, 666, 581, 7745, 1524, 543, 2219, 827, 811, 3362, 538, 476, 276, 3268, 15545, 713, 568, 519, 2034, 3296, 540, 707, 476, 1408, 1206, 2489, 2866, 1603, 1449, 269, 596, 1058, 6108, 827, 476, 2412, 3764, 593, 621, 269, 2328, 827, 519, 1739, 1888, 281, 4305, 476, 273, 269, 930, 1004, 3494, 602, 3450, 1453, 693, 1753, 568, 1655, 585, 513, 1126, 685, 521, 1646, 1247, 1866, 1589, 602, 621, 568, 1271, 585, 1453, 547, 979, 547, 1153, 269, 538, 519, 476, 1408, 1206, 1603, 4305, 476, 273, 596, 723, 547, 2328, 606, 1557, 540, 513, 5934, 476, 7742, 1913, 563, 331, 8504, 693, 476, 1408, 1206, 3732, 3594, 568, 606, 5140, 1259, 547, 1451, 875, 547, 2087, 269, 1934, 596, 666, 2070, 513, 3099, 540, 476, 1408, 1206, 1557, 3584, 609, 4267, 547, 948, 596, 5965, 585, 519, 476, 1408, 1206, 1449, 269, 1498, 4305, 476, 272, 630, 4484, 1603, 585, 476, 1408, 1206, 2489, 2866, 1299, 1867, 1603, 585, 476, 1408, 1206, 4081, 264, 568, 2653, 676, 1100, 1797, 267, 1082, 8321, 1218, 1265, 4305, 476, 273, 630, 1557, 1603, 264, 540, 476, 1408, 1206, 1603, 9074, 811, 4101, 269, 538, 4305, 476, 273, 267, 596, 616, 9277, 547, 2626, 513, 1880, 2243, 269, 1505, 860, 773, 632, 12031, 16445, 18311, 269, 26583, 6117, 3594, 12819, 269, 547, 581, 811, 1808, 267, 476, 1408, 1206, 1603, 4305, 476, 273, 3340, 596, 547, 2328, 1557, 1603, 4305, 606, 1557, 593, 513, 2016, 269, 6616, 875, 547, 2497, 707, 476, 1408, 1206, 1603, 4305, 476, 273, 1557, 568, 606, 1898, 5578, 602, 666, 1118, 519, 3017, 1063, 519, 3478, 543, 711, 3478, 519, 6512, 6060, 596, 17330, 269, 609, 602, 538, 2247, 267, 649, 723, 13890, 519, 1034, 1455, 476, 1408, 1206, 1603, 4305, 476, 273, 3889, 2630, 563, 333, 22022, 782, 540, 1250, 4305, 476, 273, 3594, 1246, 269, 2034, 568, 519, 4830, 1557, 1141, 596, 786, 2285, 513, 2123, 3210, 547, 513, 1808, 2243, 269, 519, 1739, 3732, 3594, 6542, 519, 2010, 540, 2055, 596, 786, 3068, 543, 875, 547, 2497, 707, 3594, 5265, 269, 585, 2143, 10274, 17074, 585, 1142, 547, 1030, 331, 1603, 2243, 1118, 2386, 547, 2638, 856, 938, 1292, 2985, 269, 1557, 6268, 543, 269, 1018, 2186, 540, 1603, 4305, 798, 596, 991, 547, 2347, 286, 10374, 1650, 10388, 1557, 269, 519, 1592, 2630, 786, 948, 596, 22942, 519, 22559, 685, 521, 2200, 602, 786, 581, 1034, 5363, 585, 596, 2687, 547, 519, 2186, 540, 1603, 596, 991, 547, 9585, 269, 952, 596, 685, 546, 899, 547, 1294, 513, 2347, 1592, 540, 938, 2200, 267, 5225, 3643, 519, 22559, 262, 521, 1292, 2985, 269, 950, 596, 685, 556, 1175, 4098, 707, 1603, 476, 1968, 4305, 476, 273, 540, 519, 1603, 9074, 568, 2141, 513, 1167, 27641, 1557, 2243, 602, 3340, 596, 547, 2328, 827, 4207, 1514, 3390, 269, 596, 616, 2016, 513, 1448, 540, 2070, 2073, 606, 4661, 2073, 513, 1966, 616, 4280, 585, 707, 6644, 563, 338, 15471, 538, 476, 1408, 1206, 1603, 4305, 476, 273, 568, 1759, 593, 1210, 519, 1318, 2553, 269, 891, 1863, 4388, 4245, 267, 7044, 2073, 2203, 3594, 1344, 786, 948, 1020, 519, 1983, 585, 1603, 4305, 476, 273, 269, 713, 2985, 786, 4001, 596, 875, 547, 12366, 1047, 707, 476, 1408, 1206, 1603, 4305, 476, 273, 6060, 269, 782, 4245, 616, 593, 713, 2985, 616, 585, 1312, 269, 798, 596, 1616, 547, 2057, 9073, 538, 1557, 1603, 286, 26821, 609, 930, 8242, 543, 3730, 5439, 1934, 547, 1685, 1134, 538, 981, 269, 2972, 519, 7044, 1920, 267, 2671, 621, 782, 609, 2828, 267, 2073, 14202, 3312, 1543, 267, 2575, 596, 2648, 267, 519, 1158, 593, 596, 32353, 269, 4081, 476, 1408, 1206, 1603, 4305, 476, 273, 1888, 630, 538, 694, 4697, 267, 3738, 1299, 6512, 476, 280, 269, 476, 271, 3732, 281, 606, 1419, 23503, 1888, 568, 2436, 10229, 814, 513, 2101, 3310, 593, 519, 3395, 16726, 540, 1004, 685, 521, 6197, 538, 519, 2413, 1158, 269, 519, 1557, 585, 4305, 476, 273, 540, 519, 476, 1408, 1206, 1603, 981, 568, 1945, 602, 513, 2603, 540, 1053, 616, 12922, 540, 269, 596, 1590, 2328, 827, 476, 7742, 1913, 543, 713, 1058, 1557, 1603, 4305, 581, 6192, 538, 5111, 476, 2412, 3764, 630, 1317, 596, 849, 991, 547, 2347, 1603, 4305, 476, 272, 538, 519, 1101, 476, 736, 3764, 540, 519, 476, 272, 5662, 1603, 1449, 1040, 2070, 476, 1408, 1206, 1603, 2055, 585, 4305, 476, 273, 1557, 1603, 563, 28205, 476, 1408, 1206, 1557, 3584, 616, 782, 1483, 2055, 3144, 689, 4255, 269, 972, 616, 849, 6402, 547, 2203, 4267, 585, 930, 540, 519, 1557, 2055, 865, 596, 666, 1294, 519, 1655, 1259, 547, 2626, 519, 2243, 269, 538, 519, 1603, 851, 540, 519, 524, 272, 4359, 630, 4342, 8822, 524, 272, 264, 981, 972, 616, 476, 273, 4247, 602, 991, 547, 581, 6192, 538, 476, 272, 281, 476, 1789, 3764, 269, 519, 476, 272, 588, 4305, 568, 25471, 543, 519, 1053, 1590, 2347, 606, 1557, 269, 20052, 14259, 1870, 5985, 4566, 676, 334, 269, 519, 476, 273, 26998, 4305, 568, 513, 3903, 540, 476, 274, 3681, 630, 4484, 270, 4757, 1867, 267, 11556, 2689, 1040, 519, 2262, 1293, 585, 1142, 4305, 568, 6919, 543, 1053, 1058, 711, 2328, 269, 476, 1408, 1206, 2489, 1603, 1557, 3584, 666, 581, 1336, 1934, 269, 1455, 476, 1408, 1206, 1603, 4305, 476, 273, 3584, 630, 1592, 264, 2630, 568, 513, 1592, 540, 519, 1034, 1455, 1557, 3584, 1557, 1603, 4305, 585, 4305, 476, 273, 2055, 269, 4945, 519, 1888, 547, 1205, 513, 3732, 1557, 6863, 1592, 267, 513, 22788, 2911, 3381, 630, 547, 948, 1451, 519, 6863, 538, 2796, 1916, 22967, 1603, 1983, 568, 513, 2352, 543, 942, 268, 10438, 4305, 269, 972, 685, 521, 811, 547, 621, 982, 6071, 1603, 621, 3322, 15388, 7011, 1782, 540, 2093, 269, 835, 949, 1294, 621, 607, 513, 11411, 2016, 676, 1153, 3610, 2852, 20485, 585, 3063, 5491, 855, 649, 1419, 3111, 547, 5431, 875, 1557, 1603, 2965, 2337, 1020, 938, 9266, 3206, 269, 519, 1603, 4305, 476, 273, 540, 519, 476, 1408, 1206, 1449, 3340, 596, 547, 2328, 693, 2547, 476, 7742, 1913, 269, 596, 786, 581, 4843, 609, 513, 1888, 28388, 3877, 267, 7234, 519, 1888, 267, 1175, 4328, 606, 6644, 267, 7114, 2009, 3435, 2073, 24152, 2042, 267, 786, 581, 7318, 593, 707, 2702, 547, 4431, 676, 4758, 1547, 6443, 795, 599, 689, 552, 273, 331, 4833, 269, 635, 607, 646, 3217, 596, 998, 513, 4305, 476, 273, 1557, 585, 1603, 2519, 593, 519, 1412, 547, 1018, 6708, 798, 596, 3858, 610, 10990, 257, 1412, 1826, 844, 269, 476, 1408, 1206, 1603, 4305, 476, 273, 4388, 786, 948, 596, 1174, 1018, 596, 991, 547, 798, 547, 1205, 513, 1164, 6060, 543, 11694, 707, 1267, 538, 476, 1408, 1206, 1603, 4305, 476, 273, 269, 649, 723, 6394, 1283, 476, 736, 4388, 2630, 602, 596, 666, 946, 538, 707, 476, 1408, 1206, 1603, 269, 4126, 596, 786, 2972, 2542, 9462, 30904, 563, 514, 713, 3992, 267, 596, 666, 1451, 875, 547, 2328, 606, 476, 1408, 1206, 4305, 1079, 1557, 269, 4305, 1079, 538, 519, 476, 1408, 1206, 1603, 981, 568, 519, 7887, 4161, 538, 476, 1408, 1206, 585, 1082, 1053, 269, 596, 723, 476, 2412, 3764, 547, 2328, 606, 1557, 267, 799, 1223, 581, 593, 3592, 1022, 1888, 269, 476, 274, 2010, 540, 476, 1408, 1206, 1603, 4305, 476, 273, 3594, 713, 2022, 786, 5635, 519, 476, 274, 2010, 540, 476, 1408, 1206, 3594, 5031, 519, 10486, 3604, 1851, 873, 269, 1557, 1603, 4305, 585, 782, 5686, 540, 3594, 267, 835, 1292, 2856, 585, 1142, 1560, 5037, 568, 6190, 269, 782, 1434, 2298, 4760, 4930, 786, 1331, 513, 1507, 3332, 2689, 1310, 519, 4367, 5037, 269, 621, 949, 711, 581, 1572, 513, 1557, 1603, 4305, 3332, 2689, 855, 3947, 596, 606, 2856, 540, 875, 835, 568, 2813, 538, 20538, 269, 630, 3738, 1402, 268, 909, 5399, 693, 519, 6280, 540, 2840, 2719, 5069, 281, 14178, 519, 3914, 540, 606, 4081, 5399, 676, 2921, 834, 519, 5399, 257, 547, 519, 1053, 563, 2041, 3222, 602, 519, 3332, 2689, 568, 606, 27952, 1184, 269, 607, 596, 1224, 14911, 4798, 267, 596, 786, 1265, 1007, 16060, 2073, 693, 799, 1448, 596, 786, 2132, 547, 3406, 267, 2073, 1265, 856, 827, 891, 1007, 4798, 267, 2328, 3355, 31585, 6451, 873, 883, 707, 2689, 269, 519, 3483, 540, 713, 3391, 568, 547, 948, 596, 998, 519, 3332, 2689, 1184, 269, 3332, 2689, 476, 1015, 2985, 11239, 3684, 12814, 2337, 1053, 543, 4648, 5265, 5491, 519, 1344, 602, 789, 946, 269, 13712, 707, 4760, 2376, 538, 7819, 5626, 7681, 476, 277, 628, 7160, 3898, 585, 1863, 269, 693, 4416, 2880, 649, 3494, 602, 519, 1646, 540, 7347, 7924, 1983, 568, 693, 519, 1360, 2295, 540, 16779, 1453, 547, 8853, 538, 1153, 538, 1272, 269, 10097, 4574, 568, 606, 269, 3332, 8039, 616, 538, 1390, 3747, 538, 1034, 3621, 4610, 563, 26132, 991, 11710, 689, 519, 2479, 268, 2810, 3977, 540, 3621, 12326, 269, 585, 1383, 2073, 9265, 267, 8377, 267, 3379, 547, 476, 1960, 272, 267, 17288, 2053, 811, 4574, 941, 4994, 539, 538, 1357, 540, 2257, 593, 13663, 267, 2073, 538, 1614, 267, 5216, 6606, 269, 1642, 10277, 1870, 1544, 4966, 269, 605, 1870, 4566, 568, 513, 1007, 26294, 2749, 1759, 2754, 609, 13646, 538, 1642, 10277, 269, 922, 2199, 2319, 540, 3318, 5830, 29801, 723, 513, 3318, 3950, 2594, 4543, 7218, 8011, 269, 1603, 513, 1870, 1544, 568, 835, 540, 519, 1034, 1271, 1919, 596, 666, 798, 585, 707, 1870, 269, 9939, 1176, 267, 1544, 616, 5830, 2200, 547, 948, 609, 2870, 513, 1870, 1544, 15545, 1870, 17861, 2209, 2709, 5604, 543, 20614, 2230, 585, 1007, 4213, 1419, 693, 31680, 1642, 10277, 609, 519, 948, 540, 2229, 3292, 269, 1451, 811, 827, 8797, 1870, 4566, 12814, 8797, 1870, 4566, 12814, 24870, 538, 2870, 24015, 2854, 1870, 4566, 585, 1507, 1870, 5411, 269, 707, 1870, 1544, 568, 2688, 2854, 676, 12913, 544, 9346, 5830, 3173, 267, 2073, 2883, 2203, 619, 267, 3113, 1227, 2966, 676, 4966, 563, 342, 559, 2719, 2023, 3091, 5049, 593, 1870, 1544, 1603, 269, 9939, 1176, 267, 972, 5830, 1082, 2200, 1544, 948, 609, 2870, 513, 1544, 1544, 15545, 1870, 17861, 2209, 2709, 5604, 543, 20614, 2230, 585, 1007, 4213, 1419, 693, 1870, 3928, 609, 519, 948, 540, 3860, 1603, 2516, 536, 10667, 3292, 269, 2630, 568, 513, 17609, 540, 519, 1870, 17861, 2209, 267, 1870, 269, 4128, 1946, 1453, 2057, 6780, 972, 616, 1896, 4128, 3297, 1946, 1053, 1265, 6780, 2352, 543, 2196, 689, 621, 269, 952, 649, 616, 2312, 609, 519, 4128, 621, 786, 581, 1360, 2653, 585, 721, 547, 4308, 609, 873, 948, 873, 1020, 513, 2648, 2509, 6780, 269, 930, 540, 519, 4128, 616, 607, 5205, 281, 942, 268, 512, 2731, 269, 1775, 262, 544, 2965, 1175, 1934, 547, 5000, 8885, 543, 824, 6780, 11058, 619, 676, 17609, 476, 1015, 4128, 649, 1058, 798, 938, 6780, 563, 1015, 4128, 596, 1058, 798, 707, 6780, 476, 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 ]

[ 8551, 10406, 454, 7093, 268, 3849, 3939, 32505, 281, 476, 274, 1296, 12924, 306, 3204, 757, 4569, 610, 13380, 267, 476, 272, 1032, 3163, 454, 27775, 2105, 4400, 3427, 20043, 543, 5924, 23800, 281, 513, 8772, 1032, 540, 4569, 267, 476, 273, 1296, 540, 3163, 630, 821, 540, 799, 568, 8212, 994, 10702, 4065, 14727, 732, 518, 19662, 281, 18734, 547, 25328, 779, 23422, 5358, 282, 4876, 3255, 1331, 3301, 11653, 267, 3301, 17354, 267, 2780, 27732, 454, 20663, 2257, 568, 519, 1353, 540, 519, 7384, 1184, 543, 519, 4909, 6620, 267, 3889, 543, 4654, 602, 896, 12340, 602, 1184, 269, 1703, 568, 606, 2810, 991, 585, 8097, 960, 267, 543, 519, 3498, 540, 7384, 2257, 547, 824, 4610, 568, 19957, 269, 898, 568, 713, 11100, 540, 3069, 543, 2259, 602, 2306, 2780, 2257, 865, 3078, 563, 25284, 2719, 568, 606, 16832, 1907, 538, 4702, 267, 2029, 543, 1082, 824, 3621, 543, 2930, 4610, 269, 1717, 267, 5752, 568, 513, 1797, 547, 2263, 519, 3157, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27165, 15015, 338, 257, 607, 851, 540, 834, 28035, 1315, 11657, 566, 1299, 14502, 5675, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 513, 14297, 4884, 4904, 609, 26009, 5656, 543, 11112, 10754, 267, 972, 729, 513, 7874, 8378, 11647, 12051, 1141, 1614, 2182, 11529, 11608, 3957, 7605, 267, 32572, 267, 543, 12157, 339, 6170, 741, 2395, 2679, 4190, 11308, 23107, 269, 1452, 15931, 536, 1824, 941, 2189, 1317, 789, 4769, 1405, 991, 1022, 5528, 910, 789, 6785, 4010, 875, 547, 4739, 3501, 23107, 2439, 3080, 13566, 1554, 267, 1247, 2921, 513, 2736, 896, 513, 2462, 18073, 3529, 267, 2370, 7605, 5828, 547, 1010, 2828, 543, 4280, 267, 834, 296, 4898, 875, 1082, 23107, 649, 1118, 538, 513, 1554, 8119, 30985, 32572, 14452, 267, 834, 11039, 267, 1577, 803, 1589, 269, 1284, 1628, 2185, 23107, 1169, 5662, 267, 1810, 1405, 649, 286, 1656, 2094, 649, 960, 1875, 17380, 585, 5216, 3108, 2786, 267, 1287, 649, 1590, 1711, 476, 275, 2053, 476, 279, 15323, 289, 27117, 29169, 31113, 267, 6031, 267, 834, 6546, 1797, 476, 3953, 23107, 267, 1318, 286, 1809, 7227, 1862, 933, 2141, 3100, 547, 1439, 909, 1818, 3063, 23107, 950, 2324, 1927, 256, 594, 1224, 12341, 602, 16542, 4679, 7607, 1701, 589, 1769, 12712, 321, 4682, 1055, 1657, 741, 17285, 9843, 256, 1358, 7691, 602, 607, 513, 2468, 334, 267, 789, 1500, 835, 811, 11381, 1169, 3670, 3108, 780, 12988, 547, 741, 9819, 267, 7605, 1767, 267, 834, 3383, 267, 1169, 3670, 3108, 267, 649, 2347, 1776, 11381, 593, 1283, 540, 938, 8912, 3977, 269, 1403, 649, 1616, 547, 1265, 856, 875, 1082, 1412, 2169, 571, 262, 23107, 649, 3710, 936, 1535, 2179, 540, 3108, 267, 649, 3274, 7941, 1535, 676, 476, 277, 269, 2334, 3947, 721, 519, 9814, 22429, 23107, 15323, 306, 19488, 267, 519, 8797, 2025, 5826, 8773, 7902, 1354, 873, 269, 1261, 9307, 23217, 267, 834, 289, 9081, 267, 707, 5916, 3646, 2221, 8507, 538, 476, 10463, 14952, 748, 13144, 256, 2052, 4896, 2995, 803, 875, 1279, 596, 5249, 8119, 2060, 10761, 267, 519, 2468, 334, 22551, 539, 1394, 267, 834, 5978, 4542, 786, 948, 721, 4194, 621, 256, 898, 781, 476, 1321, 343, 7132, 1535, 5258, 676, 476, 277, 11224, 476, 10463, 29389, 2991, 930, 2656, 9273, 267, 789, 4362, 789, 1185, 1044, 24091, 2324, 585, 476, 280, 2898, 3108, 2439, 3719, 620, 553, 267, 741, 7772, 729, 2110, 24331, 607, 789, 8068, 1945, 9642, 269, 4256, 11891, 4951, 1152, 476, 3583, 8737, 23107, 3079, 540, 519, 4397, 476, 10463, 269, 10658, 3960, 1194, 267, 789, 6743, 1472, 543, 1336, 1614, 20169, 4816, 5017, 21224, 20354, 593, 1346, 7508, 23107, 256, 6884, 1256, 519, 1655, 2979, 1983, 666, 1405, 3589, 2470, 781, 26208, 269, 6736, 1373, 21183, 540, 741, 3804, 267, 789, 4121, 3407, 4245, 827, 16542, 267, 11428, 267, 543, 6397, 23538, 540, 1272, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29467, 616, 476, 274, 4600, 6721, 23107, 538, 513, 11647, 12051, 269, 3962, 540, 873, 7472, 476, 275, 23107, 606, 5662, 269, 1306, 513, 1895, 267, 789, 3132, 606, 3606, 11381, 1169, 476, 277, 3108, 269, 769, 2698, 267, 875, 1082, 23107, 723, 1044, 3812, 1310, 1535, 3108, 888, 2252, 649, 917, 519, 2626, 547, 519, 1657, 2243, 568, 476, 10463, 267, 1018, 568, 519, 1871, 540, 7164, 4756, 1535, 888, 10376, 11832, 7472, 476, 275, 23107, 829, 5662, 267, 865, 538, 1535, 3108, 267, 1142, 11832, 1131, 3132, 476, 275, 343, 23107, 563, 2467, 616, 476, 274, 4600, 267, 865, 538, 1535, 3108, 267, 782, 1614, 4600, 1131, 3132, 476, 274, 2608, 476, 275, 343, 815, 476, 1321, 343, 23107, 563, 2026, 513, 1895, 267, 789, 3132, 606, 3606, 11381, 1169, 476, 277, 3108, 269, 1924, 1310, 1535, 3108, 267, 789, 1131, 723, 3812, 1535, 270, 277, 3606, 23107, 563, 763, 2698, 1297, 540, 23107, 3812, 1310, 1535, 3108, 568, 519, 2040, 540, 519, 23107, 3812, 676, 519, 4600, 543, 519, 3606, 23107, 3812, 676, 519, 1895, 281, 476, 1321, 343, 1341, 1535, 270, 277, 563, 2171, 616, 2016, 602, 519, 2698, 1297, 540, 23107, 3812, 1310, 1535, 3108, 568, 476, 10463, 267, 865, 649, 666, 2328, 281, 476, 1321, 343, 1341, 1535, 270, 277, 815, 476, 10463, 563, 2414, 14458, 519, 3830, 267, 649, 666, 9062, 1312, 5011, 676, 476, 277, 547, 1205, 7759, 540, 519, 6824, 281, 476, 7761, 343, 1341, 1535, 815, 476, 275, 4343, 563, 23382, 1456, 15073, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1747, 1572, 26277, 16288, 630, 6518, 568, 1631, 1634, 607, 11894, 1070, 972, 729, 513, 1390, 6205, 3957, 18771, 2378, 320, 918, 655, 531, 2311, 4405, 330, 269, 1261, 6068, 1010, 2197, 543, 922, 1004, 865, 1454, 602, 646, 2968, 519, 4651, 540, 2413, 11894, 2439, 300, 755, 2378, 320, 918, 655, 531, 2311, 4405, 330, 1500, 2386, 3025, 1185, 5321, 267, 1426, 267, 543, 9660, 269, 1261, 849, 5280, 1711, 3506, 585, 3214, 899, 596, 547, 1451, 875, 547, 1224, 543, 2328, 269, 2290, 1554, 1247, 6972, 998, 26277, 16288, 267, 646, 1336, 513, 9589, 5757, 1107, 519, 661, 25045, 6233, 269, 898, 3323, 782, 519, 1259, 1394, 2282, 27859, 1141, 3504, 15438, 2899, 12199, 780, 257, 3963, 568, 713, 5757, 2027, 8119, 4280, 513, 2370, 8004, 3957, 589, 2643, 320, 945, 5030, 7404, 780, 4263, 4405, 330, 20493, 543, 14452, 267, 834, 1607, 5757, 8928, 998, 1082, 3338, 267, 1175, 899, 938, 1686, 2835, 2995, 721, 2984, 540, 1114, 17710, 3010, 288, 2643, 320, 1287, 4718, 7980, 15292, 532, 676, 269, 2701, 9289, 267, 834, 8005, 616, 789, 7863, 12482, 4263, 4405, 330, 6045, 267, 834, 17829, 616, 938, 4108, 25330, 269, 1358, 1832, 26277, 16288, 2922, 267, 1175, 899, 544, 20207, 543, 546, 23098, 2149, 938, 1753, 3010, 306, 19488, 267, 589, 2643, 320, 8068, 1945, 8966, 538, 519, 6607, 269, 1703, 941, 524, 637, 30105, 8032, 899, 24262, 10876, 256, 4634, 593, 1283, 540, 5656, 543, 17514, 780, 30948, 1281, 602, 1611, 8119, 1352, 4280, 8049, 569, 780, 4263, 4405, 330, 12943, 9900, 267, 834, 6546, 3090, 4564, 4708, 543, 3356, 538, 938, 4182, 269, 6056, 540, 621, 607, 6031, 32597, 950, 649, 2743, 1007, 2828, 15323, 3080, 13566, 12784, 267, 589, 2643, 320, 4956, 547, 2263, 811, 827, 1200, 2244, 269, 2701, 4362, 606, 2025, 1433, 2854, 676, 2576, 3957, 1412, 11990, 519, 1234, 767, 1807, 9538, 30985, 267, 1352, 8118, 621, 909, 543, 4121, 827, 5722, 13039, 4092, 538, 5607, 269, 1452, 4025, 32131, 2484, 2476, 855, 1869, 4448, 547, 1200, 22657, 780, 2026, 1352, 1166, 5792, 998, 519, 3817, 267, 1352, 3357, 2066, 12400, 540, 2367, 26902, 6235, 7301, 10971, 269, 834, 3963, 1131, 4896, 798, 602, 8119, 20402, 589, 2643, 320, 21030, 1836, 780, 4263, 4405, 330, 15527, 20617, 267, 834, 5278, 1004, 7340, 1018, 5963, 6927, 267, 899, 18468, 538, 835, 3020, 1379, 3079, 540, 1818, 7329, 11169, 269, 1284, 1590, 2141, 3314, 547, 2463, 1866, 1256, 952, 789, 3494, 8335, 3010, 7661, 267, 589, 2643, 320, 4280, 267, 834, 1692, 666, 594, 948, 1250, 4190, 26277, 16288, 12482, 4263, 4405, 330, 6743, 23217, 883, 1200, 4064, 543, 1767, 267, 834, 3528, 3395, 909, 2178, 267, 5100, 267, 543, 2186, 267, 1175, 899, 596, 2907, 616, 269, 1411, 786, 4163, 593, 519, 2648, 585, 707, 2197, 543, 1118, 621, 1732, 1142, 1554, 3010, 4517, 865, 267, 589, 2643, 320, 8057, 909, 6616, 602, 1169, 1268, 4249, 513, 851, 538, 5935, 741, 1378, 22038, 269, 3807, 899, 8933, 2095, 998, 3338, 267, 12583, 11200, 1354, 721, 267, 543, 6082, 1796, 1927, 896, 6698, 540, 9322, 267, 1272, 11414, 721, 4245, 4502, 19551, 780, 3086, 979, 1404, 267, 581, 8049, 267, 2307, 2055, 267, 543, 10027, 880, 1346, 8090, 1317, 789, 1932, 1831, 4773, 540, 22400, 744, 310, 301, 8748, 1650, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15648, 476, 1960, 275, 910, 476, 1708, 274, 9291, 781, 6426, 17943, 454, 288, 3578, 1819, 1635, 10778, 13775, 2201, 10778, 18550, 476, 274, 267, 476, 1001, 271, 454, 8310, 21213, 10778, 19688, 476, 2420, 267, 476, 1001, 273, 454, 27237, 292, 281, 901, 2376, 610, 3126, 814, 711, 1044, 8242, 5063, 269, 1306, 971, 267, 621, 949, 7654, 2270, 930, 22573, 1344, 267, 543, 5924, 2093, 543, 4978, 799, 594, 1100, 3476, 9784, 267, 610, 799, 723, 4957, 547, 930, 4110, 563, 15014, 25547, 335, 570, 599, 344, 760, 661, 6113, 25830, 5288, 15349, 13639, 267, 3938, 1154, 2342, 267, 4937, 18771, 2378, 320, 918, 655, 531, 2311, 4405, 330, 1656, 15349, 13639, 15050, 2103, 267, 18301, 2986, 634, 5101, 267, 661, 25045, 6233, 5211, 667, 1845, 5455, 267, 9502, 2986, 26277, 16288, 267, 14062, 670, 996, 1656, 634, 670, 8636, 2572, 267, 3627, 634, 1234, 767, 1807, 267, 1772, 548, 2986, 4793, 21573, 1656, 634, 32363, 613, 534, 7256, 267, 18599, 932, 11699, 6904, 3657, 769, 5607, 267, 645, 2931, 331, 5200, 932, 11699, 2806, 9646, 4168, 1684, 551, 21218, 2986, 634, 24347, 548, 6754, 267, 6754, 781, 1234, 321, 8123, 1677, 8895, 520, 2103, 267, 8771, 2696, 9093, 5771, 1656, 634, 595, 29266, 9855, 267, 2859, 2201, 26277, 16288, 1656, 18301, 2986, 634, 5101, 267, 18882, 2986, 661, 25045, 6233, 5211, 267, 589, 15783, 8892, 2782, 18830, 5840, 12833, 6295, 11894, 1656, 4033, 8315, 267, 15783, 13705, 525, 2986, 634, 2142, 770, 1656, 3571, 14022, 625, 267, 589, 25792, 590, 928, 752, 31105, 267, 7073, 1855, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19615, 1315, 13639, 1315, 9147, 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 ]

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

[ 14121, 322, 270, 10428, 338, 1790, 1023, 344, 2389, 8084, 27492, 1613, 0, 299, 5922, 568, 513, 26068, 13047, 1436, 602, 4386, 1419, 538, 4633, 2792, 269, 4595, 17409, 568, 3812, 676, 519, 4633, 2504, 7271, 267, 19706, 2079, 2409, 616, 1031, 6140, 585, 519, 1353, 540, 17409, 1035, 24065, 923, 269, 769, 713, 1957, 519, 4644, 540, 29835, 2934, 585, 5806, 3215, 17409, 543, 4633, 568, 5941, 269, 1715, 2934, 10503, 519, 29835, 4162, 616, 1031, 547, 5659, 519, 14902, 6786, 269, 634, 2934, 616, 1759, 593, 31302, 12334, 543, 4222, 540, 29835, 693, 22184, 338, 269, 1323, 5690, 568, 2919, 1759, 593, 891, 2934, 547, 3713, 17409, 4525, 538, 6024, 4633, 269, 634, 2164, 616, 11609, 676, 16326, 17409, 4525, 538, 513, 7641, 13739, 1982, 563, 289, 9560, 4919, 4704, 269, 14181, 515, 518, 27958, 267, 918, 269, 1315, 16444, 4498, 880, 4414, 11276, 267, 631, 269, 1315, 16444, 681, 4821, 12653, 1399, 267, 918, 269, 1315, 962, 1122, 22974, 541, 27011, 267, 645, 269, 630, 1220, 280, 2567, 834, 26046, 540, 14902, 6786, 585, 16326, 538, 6024, 4633, 2580, 769, 21850, 8991, 14154, 17248, 268, 1220, 280, 267, 476, 14689, 272, 268, 14689, 275, 269, 0, 2419, 21590, 1101, 6469, 8484, 15298, 4262, 4693, 814, 9411, 519, 1293, 6658, 269, 1306, 519, 4102, 9522, 333, 720, 2627, 10617, 1222, 3710, 538, 519, 4457, 13108, 1686, 267, 519, 4262, 4693, 5106, 540, 519, 6469, 15298, 814, 13631, 519, 3007, 540, 519, 3544, 1158, 269, 1306, 606, 1271, 3095, 1354, 519, 4013, 3028, 267, 519, 4262, 4693, 568, 606, 16832, 1184, 585, 519, 5250, 540, 519, 8396, 3196, 540, 519, 8484, 15298, 269, 1284, 666, 849, 1491, 713, 4316, 547, 1294, 1018, 4277, 1919, 649, 666, 2671, 538, 824, 8484, 15298, 2477, 1282, 519, 4262, 4693, 269, 634, 8013, 8484, 15298, 568, 519, 10600, 1101, 8484, 15298, 2966, 543, 9112, 2687, 547, 519, 8484, 15298, 269, 2859, 30060, 3652, 1306, 519, 4098, 540, 519, 1272, 540, 513, 10617, 1222, 267, 22745, 16008, 543, 840, 3028, 4262, 4693, 616, 1271, 4247, 585, 1022, 2197, 338, 26010, 269, 1306, 519, 1034, 3532, 543, 17116, 10617, 1222, 540, 2413, 26010, 267, 22745, 16008, 543, 4262, 4693, 540, 8484, 15298, 616, 3808, 547, 4482, 2647, 3007, 540, 519, 2898, 2197, 543, 1256, 519, 2898, 1158, 269, 22702, 609, 12959, 4721, 267, 2267, 23924, 543, 535, 3419, 919, 267, 8484, 19057, 616, 9833, 607, 1507, 3197, 538, 17189, 8043, 269, 6787, 621, 729, 519, 3703, 9576, 18937, 903, 26465, 923, 2696, 267, 519, 1977, 18999, 2917, 610, 519, 5545, 674, 1263, 3495, 836, 267, 621, 729, 1152, 1310, 476, 4572, 271, 338, 607, 519, 8484, 15298, 856, 540, 519, 4155, 269, 1924, 519, 22745, 6293, 540, 519, 15298, 8484, 814, 1044, 1210, 519, 1482, 1184, 607, 824, 2627, 9635, 585, 513, 1279, 942, 267, 543, 519, 4639, 7125, 621, 29080, 540, 519, 10617, 1222, 269, 2986, 1576, 267, 519, 13411, 1216, 1031, 538, 519, 29080, 540, 8484, 19057, 568, 10416, 23931, 16098, 269, 769, 1840, 547, 519, 2136, 2276, 13108, 538, 519, 2085, 540, 29611, 540, 4568, 267, 2899, 1031, 547, 5372, 519, 1166, 2532, 540, 9174, 538, 519, 6367, 540, 519, 6928, 267, 519, 26010, 538, 1034, 2477, 729, 2111, 547, 10131, 519, 1216, 1310, 1159, 4770, 519, 9174, 11480, 609, 519, 2212, 540, 519, 6928, 538, 519, 1034, 942, 269, 1809, 972, 568, 513, 3017, 1063, 9174, 543, 9174, 269, 769, 519, 5736, 540, 11308, 13743, 12959, 1222, 267, 519, 9174, 7484, 568, 2808, 547, 581, 519, 1655, 6928, 547, 29080, 13411, 1216, 269, 1656, 538, 519, 1101, 1747, 15438, 543, 7060, 1131, 2322, 519, 8988, 7484, 602, 3090, 1242, 519, 10513, 3400, 559, 883, 519, 4262, 693, 22745, 18428, 267, 855, 621, 8604, 547, 581, 811, 7199, 547, 1159, 1662, 519, 14569, 585, 513, 1279, 942, 269, 634, 4605, 2982, 519, 22745, 16008, 540, 10348, 10906, 269, 1879, 519, 13108, 9411, 519, 4401, 543, 5374, 2085, 267, 13084, 27158, 2968, 519, 2556, 4235, 585, 782, 519, 562, 822, 625, 538, 519, 22745, 16008, 269, 769, 476, 6245, 272, 267, 10348, 15117, 1101, 13264, 519, 13084, 27158, 11480, 538, 519, 22745, 540, 9576, 14880, 269, 1809, 538, 476, 1001, 275, 267, 1776, 15596, 540, 10906, 267, 693, 519, 22745, 16008, 540, 606, 8484, 15298, 267, 18005, 4957, 519, 2245, 540, 519, 6928, 9250, 676, 519, 3703, 9576, 13108, 543, 1034, 540, 519, 10600, 26010, 269, 769, 5147, 476, 275, 267, 476, 1001, 275, 267, 10348, 10906, 4083, 267, 519, 15596, 10906, 4083, 267, 1031, 519, 28915, 22090, 5652, 1500, 689, 10430, 607, 29080, 13411, 1216, 693, 519, 22745, 16008, 540, 519, 15596, 10906, 267, 519, 15596, 267, 950, 519, 19803, 3903, 729, 547, 5031, 519, 18937, 903, 13108, 607, 513, 2898, 538, 519, 5177, 543, 883, 10430, 269, 634, 2078, 540, 519, 13108, 269, 4340, 547, 3703, 2923, 5359, 267, 10906, 590, 1140, 2851, 1390, 2956, 547, 519, 3356, 540, 670, 5960, 10348, 10906, 267, 543, 519, 26010, 814, 6836, 1169, 1797, 547, 3094, 519, 3870, 540, 519, 15596, 269, 1280, 1383, 267, 519, 15596, 543, 519, 14538, 11504, 519, 16008, 4843, 513, 5458, 14735, 20604, 936, 476, 20065, 6550, 630, 12671, 476, 5611, 13532, 264, 2687, 547, 519, 3337, 540, 519, 8484, 15298, 269, 1656, 593, 519, 14735, 267, 621, 849, 2813, 513, 4605, 540, 519, 15596, 609, 519, 2725, 20446, 538, 519, 3239, 540, 1079, 10492, 543, 2367, 269, 634, 3703, 2923, 729, 12922, 540, 519, 12837, 602, 519, 15596, 1223, 1294, 950, 1352, 4718, 1200, 3239, 593, 519, 14735, 269, 22702, 609, 519, 2136, 8003, 267, 519, 22745, 16008, 540, 519, 2475, 18937, 903, 10617, 4721, 814, 1044, 3592, 24240, 585, 5756, 269, 4595, 519, 2136, 2276, 729, 1031, 547, 20803, 606, 8484, 15298, 609, 519, 2012, 540, 519, 7022, 267, 519, 5449, 1101, 14799, 610, 519, 1101, 20766, 941, 519, 1655, 10457, 547, 2736, 13084, 27158, 593, 519, 15298, 269, 27211, 267, 519, 7385, 540, 5449, 7022, 30370, 3204, 534, 267, 1095, 3660, 936, 519, 22745, 16008, 540, 519, 22008, 301, 268, 10602, 30370, 3204, 534, 269, 1809, 267, 899, 519, 1101, 14799, 543, 6723, 654, 269, 17312, 338, 3993, 22526, 17312, 267, 945, 1185, 1175, 5293, 2476, 267, 593, 5239, 476, 1220, 277, 267, 22526, 17312, 267, 519, 6723, 17312, 267, 729, 4625, 2879, 520, 3481, 676, 1010, 9393, 267, 17312, 543, 1010, 5067, 267, 6723, 654, 269, 17312, 269, 2986, 1576, 267, 676, 4334, 267, 6723, 654, 269, 17312, 338, 7385, 267, 700, 4673, 267, 814, 1175, 18799, 519, 22745, 16008, 540, 519, 9399, 301, 278, 4037, 7147, 26747, 269, 634, 4262, 1449, 1058, 581, 3978, 2991, 11264, 519, 22745, 543, 20803, 267, 519, 10617, 1222, 814, 547, 581, 2417, 9112, 1354, 621, 666, 581, 6192, 269, 4634, 952, 513, 10617, 1222, 568, 8737, 267, 621, 1869, 666, 711, 2047, 6443, 519, 7952, 269, 898, 1590, 10929, 1896, 21448, 540, 2168, 6514, 269, 901, 568, 519, 2168, 6514, 1184, 1354, 543, 1310, 519, 7127, 883, 3028, 269, 769, 2070, 540, 519, 1883, 1909, 540, 8484, 19057, 547, 519, 562, 822, 625, 540, 1585, 2477, 267, 519, 4693, 22116, 540, 8484, 19057, 814, 2141, 1044, 13671, 676, 1585, 2923, 269, 769, 519, 2475, 13108, 267, 519, 22745, 16008, 540, 8484, 15298, 4693, 568, 1419, 4371, 607, 513, 6264, 2680, 269, 769, 2904, 476, 274, 267, 476, 3192, 276, 267, 811, 982, 8938, 8536, 1004, 14754, 519, 4693, 540, 715, 574, 6308, 693, 9098, 7439, 27714, 3490, 269, 634, 3735, 8250, 540, 8098, 12637, 715, 574, 6308, 267, 4258, 3122, 267, 3576, 851, 538, 519, 16008, 267, 1247, 519, 7022, 540, 519, 2136, 2276, 267, 15168, 337, 731, 269, 16110, 267, 729, 519, 8783, 10584, 540, 519, 2898, 16008, 269, 769, 476, 1001, 278, 267, 950, 519, 2475, 13108, 729, 9280, 609, 15168, 337, 731, 16110, 8484, 15298, 267, 922, 4693, 22116, 1223, 849, 581, 1572, 1434, 1404, 269, 1306, 513, 2706, 15298, 4502, 811, 982, 476, 1321, 5479, 476, 12010, 2929, 9489, 267, 519, 2475, 13108, 6829, 9547, 609, 519, 2178, 1379, 540, 519, 15168, 337, 731, 16110, 538, 922, 4693, 22116, 269, 20917, 631, 1638, 514, 267, 16628, 267, 1715, 1636, 5240, 6928, 20761, 1895, 267, 4330, 519, 15168, 337, 731, 16110, 607, 513, 22299, 899, 513, 22299, 267, 1818, 1864, 1589, 540, 513, 1286, 555, 3971, 6117, 513, 1286, 1310, 646, 3893, 1010, 1688, 269, 634, 4605, 2982, 519, 10600, 1101, 6046, 13324, 8484, 15298, 267, 519, 2475, 13055, 8484, 15298, 4262, 4693, 5496, 269, 769, 1249, 267, 3592, 1169, 2475, 26010, 6046, 13324, 8484, 15298, 786, 1397, 15265, 11610, 538, 519, 4693, 269, 769, 5239, 476, 3422, 272, 267, 519, 13055, 6046, 13324, 8484, 15298, 13264, 519, 3432, 2594, 540, 519, 8484, 15298, 538, 519, 1101, 4262, 4693, 269, 634, 772, 269, 590, 269, 18937, 903, 4013, 2594, 26342, 602, 519, 13055, 267, 609, 922, 6046, 13324, 10231, 267, 729, 16207, 3297, 519, 6861, 518, 602, 1058, 723, 1044, 10483, 676, 513, 6046, 13324, 8484, 15298, 267, 1818, 519, 10600, 1101, 6046, 13324, 8484, 15298, 267, 519, 1101, 4262, 1449, 267, 547, 1118, 513, 2462, 3377, 269, 634, 2475, 13108, 814, 24565, 602, 609, 519, 2407, 1379, 540, 6046, 1379, 267, 519, 6046, 13324, 15298, 6370, 1895, 786, 4625, 1689, 519, 3652, 540, 519, 3014, 540, 4262, 30925, 269, 1717, 267, 519, 15168, 337, 731, 16110, 849, 8188, 930, 824, 2042, 16310, 519, 5863, 23603, 1464, 538, 519, 4693, 2196, 269, 3689, 540, 782, 267, 538, 4728, 476, 1001, 278, 267, 513, 13743, 528, 10393, 1185, 513, 2068, 538, 519, 4693, 269, 2991, 1373, 26906, 676, 519, 2319, 540, 8484, 15298, 7189, 267, 621, 729, 9672, 602, 646, 1185, 547, 581, 11843, 547, 519, 13108, 15493, 6413, 269, 16828, 513, 3560, 29357, 2366, 519, 7210, 25501, 547, 519, 25220, 11233, 538, 623, 2176, 17625, 267, 9098, 269, 2311, 519, 942, 267, 1977, 2923, 4080, 602, 513, 1007, 5108, 540, 2475, 13108, 9635, 1185, 11402, 513, 2147, 991, 585, 6595, 15063, 538, 519, 4693, 22116, 269, 769, 5412, 476, 1001, 276, 267, 519, 13343, 19124, 11324, 4240, 513, 13278, 2006, 945, 1185, 513, 2295, 4323, 950, 621, 729, 593, 519, 5032, 540, 19051, 269, 2986, 1576, 267, 519, 3483, 540, 4693, 22116, 568, 711, 3274, 547, 4159, 519, 2773, 610, 15063, 12588, 540, 9635, 267, 855, 547, 16616, 2042, 269, 1717, 267, 519, 2475, 13108, 8484, 15298, 814, 14578, 4988, 909, 519, 1966, 269, 769, 5437, 476, 1001, 272, 267, 519, 2475, 18937, 903, 6723, 17312, 15298, 16802, 856, 513, 15265, 8919, 602, 1500, 519, 2136, 2276, 13108, 865, 19849, 23035, 543, 3592, 4503, 922, 8396, 1379, 602, 519, 476, 277, 5479, 476, 1220, 2929, 910, 4502, 6046, 13324, 2706, 19057, 16003, 1062, 729, 538, 513, 3190, 269, 715, 574, 6308, 1362, 8484, 15298, 814, 811, 982, 476, 9873, 30079, 267, 513, 2698, 540, 476, 275, 2537, 30079, 269, 1809, 519, 3441, 2557, 540, 519, 6723, 17312, 16003, 568, 1360, 1164, 267, 2687, 547, 1977, 2923, 5359, 689, 2904, 476, 1001, 272, 547, 5437, 267, 519, 8484, 15298, 814, 1044, 1079, 2053, 782, 6928, 14191, 944, 666, 711, 581, 1031, 269, 1306, 513, 1267, 267, 519, 4057, 13743, 528, 666, 1152, 3802, 585, 811, 982, 606, 5662, 538, 519, 8484, 15298, 547, 1265, 519, 16003, 602, 666, 581, 1031, 269, 634, 4775, 12284, 3274, 13026, 519, 544, 839, 30079, 543, 9788, 2366, 514, 1564, 693, 519, 7450, 269, 769, 1931, 547, 2569, 1219, 1815, 566, 267, 513, 1804, 1297, 540, 25501, 1185, 547, 6615, 741, 2732, 543, 6704, 1216, 267, 4611, 538, 606, 12176, 540, 3819, 2068, 540, 519, 17256, 8778, 593, 519, 6928, 269, 2991, 513, 2923, 5967, 267, 621, 729, 1336, 602, 519, 6723, 17312, 16003, 1062, 3459, 547, 16802, 689, 4693, 269, 634, 2475, 13108, 6170, 4557, 8536, 3108, 3843, 547, 4194, 519, 1966, 267, 855, 621, 1869, 4607, 811, 982, 476, 1839, 15549, 344, 543, 20286, 513, 3018, 269, 1937, 572, 267, 519, 772, 269, 590, 269, 13108, 814, 1279, 10703, 531, 519, 12889, 540, 519, 15298, 16003, 1062, 267, 2394, 513, 9635, 11299, 3993, 18085, 7703, 547, 16802, 883, 519, 2923, 547, 16616, 519, 1966, 269, 634, 4605, 568, 519, 4262, 4693, 4605, 540, 519, 1977, 26010, 16110, 15298, 4475, 267, 538, 519, 2663, 15168, 337, 731, 16110, 543, 519, 3703, 10348, 10906, 1646, 1184, 267, 519, 16003 ]

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

[ 2443, 18043, 7650, 6227, 2589, 267, 2126, 267, 6604, 540, 713, 1419, 2597, 5829, 2783, 269, 634, 2832, 540, 23235, 1826, 476, 273, 3987, 568, 547, 2061, 16349, 9019, 543, 2061, 269, 547, 7355, 13988, 547, 519, 3486, 1201, 324, 1862, 0, 14106, 1302, 5381, 14272, 720, 454, 29834, 8108, 2699, 3905, 4401, 538, 13622, 593, 606, 341, 559, 269, 2349, 2931, 19431, 538, 585, 613, 20054, 17200, 3905, 4496, 593, 606, 341, 559, 269, 19045, 585, 3101, 269, 19171, 909, 540, 3905, 4401, 593, 606, 341, 559, 17051, 19431, 269, 12182, 4401, 593, 606, 341, 559, 538, 13186, 454, 15542, 800, 9441, 7432, 682, 951, 593, 4496, 11529, 3684, 585, 2694, 4393, 454, 29148, 909, 8929, 540, 585, 3101, 29586, 267, 2367, 1118, 9640, 327, 3996, 585, 9640, 609, 519, 946, 540, 3905, 5374, 610, 4401, 267, 519, 4487, 20054, 519, 2699, 9640, 21539, 609, 513, 17200, 454, 7922, 2931, 19431, 568, 1210, 2413, 17453, 17200, 585, 2220, 1645, 4496, 1282, 585, 3101, 269, 1261, 568, 2322, 1469, 593, 3490, 543, 8066, 896, 20054, 267, 7432, 267, 2673, 5346, 454, 7922, 2931, 19431, 568, 2324, 538, 585, 613, 269, 1261, 568, 6721, 9640, 21539, 267, 25588, 621, 543, 7432, 267, 1225, 1324, 593, 606, 341, 559, 267, 2673, 5346, 540, 3946, 538, 17309, 454, 2690, 3455, 568, 18644, 2699, 3905, 5374, 1469, 269, 1261, 568, 1210, 1804, 5230, 521, 1578, 5069, 1067, 267, 1225, 1324, 21536, 2280, 2073, 14084, 593, 606, 1651, 639, 563, 7922, 2931, 19431, 960, 3336, 269, 1280, 3101, 5374, 3684, 3330, 4853, 2030, 269, 15775, 513, 2699, 3620, 582, 1469, 513, 1106, 896, 519, 5458, 2604, 454, 17556, 601, 6656, 3001, 593, 2504, 1899, 693, 12051, 269, 14409, 4496, 6656, 593, 4496, 11529, 3684, 538, 13186, 269, 19007, 4496, 1469, 593, 4496, 11529, 2030, 454, 299, 7752, 3684, 4393, 5374, 1469, 593, 4496, 11529, 12051, 269, 595, 333, 322, 3684, 2504, 4496, 1469, 693, 4853, 12051, 269, 19045, 11529, 1184, 593, 13128, 3937, 454, 19226, 1639, 2472, 540, 5230, 2872, 269, 27842, 540, 8737, 2472, 540, 4496, 11529, 13186, 269, 32255, 5374, 2694, 269, 19672, 540, 4853, 3937, 454, 7922, 2931, 19431, 25588, 3905, 4401, 609, 17200, 593, 606, 606, 341, 559, 269, 2349, 2931, 19431, 585, 3101, 4401, 693, 13186, 563, 7922, 2931, 19431, 585, 2471, 3905, 4401, 538, 519, 585, 613, 269, 2349, 2931, 19431, 20054, 3905, 4401, 609, 513, 17200, 593, 606, 341, 559, 538, 513, 585, 613, 269, 13583, 675, 540, 585, 3022, 2472, 563, 21545, 687, 540, 713, 2985, 12261, 676, 5616, 269, 0, 21010, 532, 2274, 777, 18289, 547, 519, 8641, 454, 1432, 568, 2274, 777, 18289, 543, 717, 788, 6062, 888, 2026, 835, 540, 519, 5697, 1788, 585, 519, 717, 3383, 290, 630, 11386, 14400, 540, 8943, 264, 538, 476, 276, 1296, 630, 1220, 280, 1107, 476, 1001, 274, 1070, 717, 788, 6062, 568, 606, 1930, 21299, 3060, 2079, 543, 3308, 5314, 3301, 10189, 2854, 538, 10084, 563, 1607, 3381, 676, 7917, 744, 685, 8867, 776, 2982, 875, 2274, 777, 18289, 666, 581, 1031, 547, 1852, 513, 3113, 11768, 269, 901, 1788, 2919, 593, 713, 1523, 676, 8220, 2274, 777, 18289, 547, 513, 1950, 1804, 8397, 3113, 1210, 717, 788, 6062, 630, 613, 12978, 3820, 264, 607, 519, 3760, 585, 3308, 5314, 563, 1607, 3381, 2982, 930, 1239, 1373, 16041, 689, 519, 1530, 15247, 543, 16510, 8189, 1857, 3896, 267, 1792, 3139, 547, 519, 11422, 267, 543, 21235, 607, 513, 476, 274, 291, 5680, 21923, 3113, 269, 634, 8254, 538, 519, 476, 274, 291, 2230, 666, 581, 6417, 1210, 519, 2274, 777, 18289, 269, 2274, 777, 307, 1778, 518, 12459, 338, 17267, 616, 1031, 547, 9594, 11768, 6620, 602, 606, 1493, 519, 3113, 9136, 543, 4296, 883, 1007, 7158, 269, 0, 7197, 1004, 1265, 2620, 1922, 3072, 3536, 971, 607, 18008, 535, 1845, 267, 22304, 530, 2632, 976, 267, 543, 22323, 14034, 22023, 626, 1043, 1813, 547, 741, 17705, 2470, 269, 10251, 267, 789, 2709, 596, 1360, 2370, 9422, 1871, 543, 789, 666, 1118, 596, 7925, 547, 5312, 1072, 8374, 269, 1703, 779, 1100, 27102, 519, 1249, 602, 2067, 9600, 538, 1426, 899, 10808, 543, 25636, 616, 4105, 585, 707, 2949, 1072, 543, 9716, 269, 1717, 267, 10438, 22304, 9761, 3536, 616, 3833, 14432, 269, 1548, 616, 519, 12178, 540, 22304, 3536, 888, 272, 269, 20506, 28100, 454, 28848, 22304, 3536, 593, 513, 2834, 4493, 666, 2322, 707, 6797, 693, 1981, 269, 1411, 6157, 991, 547, 1589, 7466, 1354, 11423, 707, 6676, 609, 9761, 22304, 3536, 269, 2659, 6797, 568, 835, 540, 519, 4102, 543, 1034, 1271, 8219, 538, 707, 1560, 269, 634, 6797, 4249, 513, 4105, 1909, 538, 8840, 1524, 519, 3536, 596, 8532, 1282, 12536, 269, 17054, 3536, 723, 513, 5318, 5763, 540, 3170, 543, 8501, 799, 723, 519, 2702, 547, 2333, 519, 24913, 540, 707, 6797, 269, 1879, 713, 4105, 1418, 568, 8572, 547, 2736, 1524, 782, 519, 9600, 596, 8532, 267, 621, 666, 1291, 547, 513, 5312, 6797, 17966, 618, 1634, 607, 513, 9761, 6797, 799, 5012, 547, 6797, 29840, 563, 273, 269, 16842, 25667, 11485, 454, 293, 3072, 3536, 616, 3743, 585, 519, 2799, 2665, 540, 8377, 2066, 519, 8608, 269, 3509, 1004, 1810, 1406, 1589, 540, 519, 4539, 540, 10438, 14432, 22304, 3536, 2394, 621, 779, 1932, 3735, 585, 873, 269, 1452, 3536, 616, 1655, 1634, 585, 741, 1164, 2157, 540, 8501, 543, 9600, 269, 1635, 4189, 9761, 22304, 3536, 267, 707, 17811, 6981, 4679, 3648, 267, 3056, 547, 8377, 269, 15043, 8377, 2306, 596, 7925, 547, 824, 5312, 1072, 8374, 971, 607, 1826, 476, 273, 3987, 267, 18116, 267, 2295, 6285, 543, 7244, 4713, 563, 274, 269, 31292, 15302, 454, 2005, 568, 25031, 602, 1082, 1004, 723, 2919, 606, 14031, 585, 17705, 22304, 3536, 782, 936, 519, 1158, 269, 1306, 513, 1267, 267, 519, 1297, 540, 9025, 3676, 9601, 8952, 2810, 693, 606, 24034, 2557, 269, 14856, 22304, 3536, 593, 513, 3232, 4493, 27875, 596, 547, 2295, 1700, 22366, 22074, 538, 865, 1082, 2081, 269, 3117, 11167, 22304, 3536, 4679, 707, 8501, 2157, 3648, 267, 6028, 596, 11630, 547, 2295, 5829, 3676, 971, 607, 2295, 6285, 543, 2295, 5821, 563, 275, 269, 16842, 12128, 11485, 454, 8256, 11167, 22304, 3536, 5781, 666, 2322, 707, 1072, 693, 1981, 1813, 547, 741, 2799, 5834, 540, 15459, 9600, 543, 8501, 269, 14856, 9761, 22304, 3536, 786, 1267, 538, 8377, 799, 786, 267, 538, 2490, 267, 4482, 824, 2942, 1072, 6286, 971, 607, 7378, 5706, 1218, 543, 1826, 476, 273, 3987, 269, 4658, 945, 723, 513, 6492, 585, 22304, 3536, 971, 607, 3943, 535, 1845, 1851, 1866, 616, 693, 513, 2362, 1981, 540, 3384, 3987, 607, 3379, 547, 1346, 945, 2936, 2635, 4189, 6208, 563, 276, 269, 16842, 24093, 540, 9435, 454, 4692, 1356, 568, 513, 21472, 1072, 28658, 602, 568, 3743, 585, 9118, 7972, 2066, 519, 1158, 269, 2657, 4966, 24633, 602, 10438, 22304, 3536, 971, 607, 18008, 535, 1845, 267, 14859, 22756, 267, 22304, 9269, 543, 22304, 3165, 593, 513, 2834, 4493, 666, 2333, 707, 8458, 540, 3384, 6089, 2860, 543, 17150, 2860, 1851, 1866, 563, 763, 5377, 1899, 568, 602, 4616, 540, 7050, 22304, 3536, 568, 3983, 585, 707, 1072, 1813, 547, 741, 1164, 5834, 540, 8477, 267, 8501, 267, 543, 15459, 9600, 269, 1635, 12145, 891, 3536, 538, 707, 2732, 596, 2333, 519, 4960, 540, 9319, 5312, 543, 5732, 14686, 2068, 269, 0, 268, 634, 7969, 2506, 12378, 281, 589, 14635, 540, 10749, 454, 763, 4367, 6257, 875, 267, 5103, 519, 27929, 543, 7683, 14866, 32328, 2797, 1533, 540, 7977, 538, 519, 5553, 1354, 796, 2305, 267, 7969, 791, 516, 572, 1496, 17484, 8525, 476, 14695, 274, 316, 941, 4535, 538, 606, 2907, 19618, 7499, 543, 5339, 2245, 269, 1358, 7960, 689, 2043, 262, 6698, 267, 7361, 998, 519, 2238, 540, 3537, 12562, 267, 883, 519, 9053, 1106, 540, 12572, 4082, 540, 513, 2647, 3099, 540, 5238, 267, 1312, 2482, 543, 3235, 27036, 20292, 269, 634, 3702, 550, 1761, 585, 946, 607, 6698, 540, 18408, 540, 7881, 543, 5132, 267, 543, 3486, 10009, 799, 1223, 7048, 593, 513, 3838, 2245, 540, 8106, 2528, 543, 1419, 593, 513, 1455, 1893, 267, 3366, 547, 12526, 609, 824, 30118, 1738, 3029, 269, 634, 3594, 3732, 519, 3099, 540, 519, 4611, 721, 1137, 563, 1103, 834, 3412, 2181, 572, 607, 2506, 21793, 281, 634, 3864, 3115, 16615, 540, 606, 1412, 2005, 6501, 262, 2637, 516, 2437, 10842, 334, 1488, 321, 11170, 18223, 2982, 875, 519, 3312, 10747, 10206, 540, 519, 791, 25564, 607, 606, 4082, 540, 606, 1367, 581, 13145, 781, 10703, 527, 729, 1419, 3138, 657, 2989, 267, 543, 519, 791, 25564, 3357, 547, 4196, 538, 519, 27867, 2540, 267, 2523, 609, 519, 20908, 7057, 267, 607, 513, 3090, 540, 513, 8471, 5048, 267, 540, 513, 5837, 840, 1061, 610, 513, 5168, 540, 5132, 267, 899, 519, 30118, 267, 543, 609, 28706, 14235, 610, 18340, 6085, 2456, 269, 769, 835, 2013, 538, 1249, 2443, 320, 1686, 540, 519, 1101, 2540, 540, 519, 20908, 3726, 1931, 2443, 1492, 960, 4667, 547, 2721, 593, 1312, 5389, 269, 769, 1776, 267, 1498, 519, 2592, 834, 716, 1302, 723, 791, 25564, 4162, 2437, 789, 616, 1572, 834, 655, 21793, 4799, 306, 8205, 631, 25377, 328, 9497, 294, 328, 990, 1470, 781, 12480, 690, 334, 1642, 548, 791, 516, 572, 17740, 926, 552, 993, 528, 846, 543, 519, 7467, 257, 3738, 5267, 602, 519, 12480, 690, 334, 267, 2356, 1224, 1152, 607, 519, 3355, 3561, 540, 519, 7766, 7811, 5717, 267, 949, 581, 2938, 2864, 607, 606, 3693, 267, 1256, 607, 519, 7583, 332, 1588, 540, 1010, 960, 540, 1582, 268, 5570, 655, 2610, 607, 513, 31796, 23266, 540, 791, 516, 572, 538, 1010, 9754, 630, 852, 4503, 267, 855, 7361, 9156, 762, 593, 519, 4493, 540, 17005, 2963, 1916, 12507, 3821, 2836, 629, 761, 1729, 9497, 18131, 781, 1955, 2181, 572, 538, 16902, 1503, 30790, 15570, 3250, 328, 781, 2274, 791, 516, 572, 3879, 686, 3738, 257, 12116, 791, 516, 572, 540, 8370, 2021, 538, 15570, 3250, 328, 781, 4015, 543, 2982, 602, 891, 2021, 16309, 538, 6340, 540, 741, 1378, 7907, 540, 4987, 543, 5837, 7115, 267, 1256, 952, 1369, 519, 7182, 540, 519, 25516, 6788, 540, 513, 5256, 26730, 3990, 18211, 7095, 2486, 563, 294, 328, 2224, 28500, 595, 2444, 7748, 9497, 293, 3342, 1993, 807, 552, 3868, 1794, 7748, 2184, 3821, 562, 749, 262, 16402, 11985, 1019, 30408, 966, 281, 661, 6652, 15879, 267, 1325, 857, 6737, 267, 561, 262, 30118, 1738, 320, 834, 3738, 11394, 547, 1397, 602, 930, 540, 1325, 857, 6737, 781, 900, 21793, 949, 581, 1224, 607, 2966, 547, 1857, 1125, 513, 2797, 3069, 11840, 730, 676, 661, 6652, 16443, 543, 717, 3430, 514, 4673, 267, 543, 547, 4196, 519, 5137, 540, 513, 1007, 3864, 2797, 16918, 602, 1522, 1683, 606, 4244, 547, 11440, 4566, 585, 519, 22058, 26559, 6650, 4512, 269, 1717, 519, 3877, 540, 519, 16957, 569, 834, 531, 1181, 894, 257, 4507, 540, 713, 28422, 24809, 543, 834, 574, 704, 658, 4566, 540, 22058, 26559, 6650, 4512, 257, 616, 1360, 15458, 543, 3100, 12691, 538, 2070, 540, 717, 3430, 514, 4673, 781, 2990, 269, 9282, 646, 4280, 661, 6652, 16443, 547, 14377, 543, 15476, 667, 14397, 781, 1546, 16313, 807, 267, 519, 8545, 1629, 13899, 1317, 646, 5156, 11440, 4566, 585, 1158, 21257, 1223, 1152, 1291, 547, 513, 29083, 540, 1459, 3984, 1988, 269, 1306, 585, 1325, 857, 6737, 781, 851, 267, 595, 2444, 7748, 5337, 2803, 519, 12225, 1108, 540, 519, 900, 21793, 630, 18314, 540, 519, 2185, 900, 21793, 11855, 4266, 689, 519, 476, 15150, 277, 7160, 1040, 634, 2243, 540, 1325, 857, 6737, 781, 19121, 720, 543, 1093, 2000, 527, 673, 10121, 2906, 538, 519, 476, 13923, 271, 338, 543, 538, 519, 1974, 689, 1010, 2132, 689, 25816, 2471, 547, 476, 15150, 277, 267, 950, 1312, 661, 6652, 16443, 543, 717, 3430, 514, 4673, 941, 4666, 267, 568, 1950, 543, 6825, 676, 19385, 766, 593, 1010, 851, 547, 6556, 547, 11440, 7569, 563, 2304, 3534, 3057, 534, 7236, 9497, 262, 8624, 521, 3317, 334, 552, 598, 3288, 812, 334, 262, 2433, 28438, 267, 17217, 543, 7435, 538, 13507, 545, 28298, 257, 3738, 9832, 4922, 936, 8106, 267, 10120, 267, 11193, 267, 543, 25724, 5931, 267, 711, 1152, 7969, 855, 3864, 3622, 267, 547, 4766, 519, 1496, 17484, 8525, 476, 14695, 275, 316, 14759 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 842, 273, 815, 476, 280, 692, 6112, 703, 273, 285, 284, 272, 23241, 825, 703, 272, 815, 476, 272, 454, 825, 1247, 703, 272, 27045, 280, 912, 1038, 952, 703, 272, 27045, 842, 273, 912, 2018, 1820, 17301, 272, 2437, 311, 2580, 842, 273, 2437, 284, 2580, 842, 272, 265, 842, 273, 2437, 315, 339, 2580, 754, 284, 3269, 994, 1038, 703, 272, 815, 703, 272, 1341, 272, 454, 825, 1820, 19629, 333, 5602, 825, 703, 273, 815, 703, 273, 910, 272, 0, 5035, 13648, 518, 912, 825, 6449, 11243, 815, 834, 4840, 825, 6449, 720, 476, 815, 476, 271, 692, 825, 1219, 1205, 11243, 4311, 2187, 1038, 2132, 1582, 14857, 11243, 454, 825, 1219, 1305, 11243, 4311, 267, 4067, 2187, 1038, 1582, 14857, 11243, 815, 2012, 454, 825, 1219, 1205, 21848, 4311, 2187, 1038, 2132, 1582, 14857, 720, 454, 825, 1219, 1305, 21848, 4311, 267, 720, 2187, 1038, 1582, 14857, 720, 815, 2085, 454, 825, 1219, 22614, 483, 362, 421, 354, 511, 4311, 2187, 1038, 1780, 454, 5035, 13648, 518, 273, 18154, 809, 518, 2187, 825, 1219, 22614, 480, 496, 420, 493, 506, 4311, 2187, 1038, 1780, 692, 5035, 13648, 518, 274, 18154, 809, 518, 273, 2187, 825, 1219, 22614, 483, 362, 421, 354, 511, 4311, 2187, 1038, 1820, 2891, 16043, 495, 15159, 421, 354, 511, 417, 510, 480, 27962, 27747, 486, 417, 480, 483, 267, 10524, 488, 23946, 368, 2580, 1345, 10947, 21848, 19572, 257, 417, 366, 479, 267, 10524, 488, 14035, 358, 23989, 418, 376, 498, 22047, 17276, 501, 510, 30830, 367, 18263, 489, 27384, 488, 32405, 825, 1219, 22614, 480, 496, 420, 493, 506, 4311, 2187, 1038, 1820, 2891, 16043, 495, 15159, 421, 354, 511, 417, 510, 480, 27962, 27747, 486, 417, 480, 483, 2580, 1345, 10947, 11243, 19572, 2580, 10524, 488, 14035, 358, 23989, 418, 376, 498, 22047, 476, 20001, 352, 27384, 496, 25426, 375, 25426, 375, 10590, 2020, 5035, 4530, 912, 825, 1219, 1449, 4311, 2187, 1038, 3434, 518, 815, 13648, 518, 274, 4590, 1038, 3434, 518, 15630, 21848, 263, 1839, 994, 1038, 3434, 518, 15630, 11243, 2891, 10524, 487, 417, 502, 487, 20001, 487, 5602, 1038, 3434, 518, 269, 419, 483, 362, 421, 354, 511, 4590, 1038, 3434, 518, 269, 27384, 496, 420, 493, 506, 4590, 11687, 815, 4530, 4590, 11687, 6745, 652, 3890, 0, 320, 284, 271, 454, 321, 284, 271, 454, 6112, 513, 283, 1911, 912, 825, 513, 30381, 266, 272, 454, 825, 536, 284, 321, 266, 320, 454, 825, 1820, 2891, 21588, 361, 2580, 320, 2437, 418, 361, 350, 23523, 359, 27064, 363, 26142, 339, 29146, 12255, 29219, 20992, 24333, 321, 264, 0, 5035, 476, 27730, 13200, 509, 32352, 10031, 825, 6449, 417, 356, 497, 12571, 491, 815, 834, 4840, 825, 6449, 23946, 368, 421, 378, 482, 815, 476, 271, 454, 825, 1219, 1305, 11243, 4311, 267, 11243, 2187, 1038, 1582, 14857, 417, 356, 497, 12571, 491, 815, 8745, 454, 825, 1219, 1205, 11243, 4311, 2187, 1038, 2132, 1582, 14857, 417, 356, 497, 12571, 491, 454, 825, 1219, 1305, 21848, 4311, 267, 21848, 2187, 1038, 1582, 14857, 23946, 368, 421, 378, 482, 815, 6520, 454, 825, 1219, 1205, 21848, 4311, 2187, 1038, 2132, 1582, 14857, 23946, 368, 421, 378, 482, 692, 825, 1219, 476, 10524, 489, 14756, 491, 4311, 2187, 1038, 1820, 2891, 27962, 14395, 370, 417, 354, 377, 8147, 16043, 495, 9463, 360, 2580, 1345, 14857, 417, 356, 497, 12571, 491, 2437, 8147, 10524, 488, 23946, 368, 2580, 1345, 14857, 23946, 368, 421, 378, 482, 2437, 417, 366, 479, 29072, 5405, 479, 5602, 825, 1219, 13127, 363, 373, 30006, 498, 4311, 267, 417, 480, 375, 20881, 376, 273, 2187, 1038, 952, 1582, 14857, 23946, 368, 421, 378, 482, 285, 417, 480, 375, 20881, 376, 273, 912, 2018, 2132, 834, 16043, 495, 30006, 498, 12571, 490, 418, 350, 490, 27962, 257, 266, 1598, 4311, 14857, 23946, 368, 421, 378, 482, 268, 417, 480, 375, 20881, 376, 273, 11924, 257, 417, 366, 479, 5405, 479, 4840, 1038, 8640, 1582, 14857, 23946, 368, 421, 378, 482, 283, 417, 480, 375, 20881, 376, 273, 912, 2018, 2132, 476, 834, 16043, 495, 30006, 498, 12571, 490, 418, 350, 490, 16533, 493, 257, 266, 1598, 263, 417, 480, 375, 20881, 376, 273, 268, 1345, 14857, 23946, 368, 421, 378, 482, 11924, 257, 417, 366, 479, 5405, 479, 4840, 1038, 8640, 1582, 14857, 23946, 368, 421, 378, 482, 2652, 13127, 480, 375, 20881, 376, 273, 912, 2018, 2132, 834, 16043, 495, 25520, 12571, 490, 418, 350, 490, 13601, 21550, 371, 27962, 5405, 479, 4840, 5035, 17276, 369, 489, 13644, 499, 32352, 10031, 825, 524, 272, 815, 476, 27730, 13200, 509, 32352, 4590, 825, 524, 272, 15630, 21848, 263, 1839, 994, 825, 524, 272, 15630, 11243, 2891, 417, 480, 375, 20881, 376, 272, 5602, 825, 524, 273, 815, 476, 27730, 13200, 509, 32352, 4590, 825, 524, 273, 15630, 21848, 263, 2767, 994, 825, 524, 273, 15630, 11243, 2891, 417, 480, 375, 20881, 376, 273, 5602, 825, 524, 272, 269, 10524, 489, 14756, 491, 4590, 825, 524, 273, 269, 10524, 489, 14756, 491, 4590, 825, 1820, 6262, 273, 269, 28098, 30006, 498, 6262, 272, 10947, 21848, 3890, 4297, 0, 18257, 7078, 5124, 1362, 18411, 5035, 3733, 12218, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 6889, 2580, 1003, 284, 1015, 2187, 1038, 1820, 2891, 17746, 1192, 528, 5602, 1038, 1582, 20508, 284, 4067, 454, 1038, 1582, 8542, 636, 284, 11133, 454, 0, 343, 272, 815, 703, 9272, 15405, 344, 272, 815, 703, 9272, 15405, 343, 273, 815, 703, 9272, 15405, 344, 273, 815, 703, 9272, 31156, 11459, 815, 630, 343, 272, 910, 1535, 273, 264, 2878, 476, 273, 454, 11276, 815, 630, 344, 272, 910, 586, 273, 264, 2878, 476, 273, 692, 323, 815, 15848, 1341, 10085, 692, 604, 546, 10922, 476, 273, 912, 825, 1820, 2891, 312, 2464, 5602, 12828, 912, 825, 1820, 2891, 17472, 5602, 0, 11133, 815, 703, 9272, 31156, 604, 476, 271, 10922, 1003, 10922, 476, 1911, 912, 825, 1820, 263, 273, 1262, 11133, 994, 0, 11133, 815, 703, 9272, 31156, 2745, 16325, 12262, 476, 1911, 1341, 1003, 4939, 476, 1911, 12262, 476, 1015, 1341, 1003, 4939, 476, 1911, 4939, 476, 1015, 994, 0, 258, 935, 591, 974, 2191, 520, 3120, 454, 325, 1695, 815, 3403, 2891, 1103, 845, 324, 579, 2742, 2191, 520, 3120, 900, 535, 16366, 16948, 1583, 6460, 5866, 281, 19515, 4897, 815, 630, 15615, 6600, 1695, 9984, 3953, 12684, 276, 270, 280, 692, 2745, 2891, 288, 2191, 520, 3120, 267, 14307, 325, 1695, 2437, 655, 524, 16364, 20527, 14307, 4897, 264, 0, 11133, 815, 703, 9272, 2891, 1103, 845, 324, 522, 562, 14243, 1067, 334, 513, 1583, 1474, 5964, 281, 834, 11723, 31184, 815, 476, 271, 454, 338, 5448, 815, 476, 271, 692, 6112, 1003, 11203, 476, 271, 912, 453, 31184, 815, 1003, 12262, 476, 1015, 454, 453, 338, 5448, 815, 1474, 320, 1341, 630, 11133, 4939, 476, 1015, 994, 453, 11133, 815, 10917, 692, 2745, 2891, 288, 1474, 320, 20527, 281, 14307, 338, 5448, 264 ]

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

[ 454, 1103, 4937, 912, 2252, 536, 1299, 25885, 282, 476, 271, 267, 29196, 24505, 454, 2252, 536, 1299, 2741, 282, 476, 271, 267, 29196, 667, 32052, 454, 7078, 476, 274, 454, 1892, 21744, 519, 20793, 8008, 292, 786, 1689, 519, 454, 4306, 7417, 14149, 8577, 540, 707, 2385, 1599, 269, 4746, 454, 21406, 12701, 610, 16756, 563, 20877, 535, 3287, 264, 815, 1535, 543, 519, 1739, 593, 519, 1482, 3113, 563, 24718, 519, 3113, 609, 519, 3113, 540, 535, 3287, 264, 815, 1535, 454, 325, 3287, 264, 815, 1535, 454, 320, 269, 535, 3287, 264, 815, 476, 274, 343, 454, 17556, 4177, 610, 853, 4958, 577, 454, 321, 269, 535, 3287, 264, 815, 1299, 2765, 1321, 282, 1535, 454, 27832, 14869, 610, 1744, 8667, 454, 322, 269, 535, 3287, 264, 815, 910, 273, 343, 454, 8269, 937, 338, 543, 454, 17556, 4177, 270, 1805, 4958, 577, 454, 1103, 4937, 585, 32437, 912, 31220, 2252, 1923, 332, 347, 1299, 25885, 282, 476, 271, 267, 1287, 519, 3113, 568, 5254, 7417, 25807, 454, 528, 513, 5254, 3918, 307, 6224, 563, 31220, 2252, 476, 271, 261, 2741, 282, 1923, 332, 347, 1299, 2741, 282, 476, 272, 630, 21353, 1227, 513, 6824, 1447, 982, 454, 821, 1070, 1287, 519, 3113, 568, 700, 8577, 5254, 7417, 303, 610, 513, 454, 306, 16281, 2562, 298, 563, 31220, 2252, 544, 568, 715, 9680, 288, 20937, 2073, 1287, 519, 3113, 454, 3918, 293, 28421, 4811, 563, 29094, 454, 4089, 476, 275, 268, 278, 454, 303, 326, 269, 476, 29214, 268, 29045, 454, 1691, 910, 476, 1704, 2676, 2537, 910, 476, 4097, 267, 476, 4375, 267, 476, 6078, 267, 476, 5655, 454, 3499, 0, 23086, 634, 4804, 10418, 692, 1892, 1403, 519, 13392, 3230, 1314, 317, 273, 1341, 536, 343, 1341, 524, 815, 476, 271, 2330, 3112, 581, 3815, 2213, 630, 528, 952, 596, 3112, 11593, 3313, 922, 2188, 1070, 519, 3435, 616, 2016, 676, 519, 4542, 912, 259, 343, 815, 1422, 2765, 24877, 321, 315, 10975, 25490, 15830, 317, 273, 268, 275, 659, 12453, 273, 320, 21456, 1607, 4542, 949, 581, 1031, 547, 3489, 519, 3435, 540, 1022, 13392, 3830, 563, 1892, 1280, 1383, 281, 4194, 1109, 2330, 274, 343, 317, 273, 910, 476, 1428, 343, 1341, 476, 1704, 815, 476, 280, 9681, 305, 792, 337, 4474, 547, 2285, 3230, 274, 1535, 3867, 273, 348, 910, 476, 1428, 1535, 1341, 476, 279, 815, 476, 271, 16465, 1892, 476, 273, 1483, 3435, 630, 23085, 1040, 901, 4523, 950, 630, 2330, 321, 317, 273, 268, 476, 275, 659, 2330, 264, 568, 2318, 563, 1892, 476, 272, 1483, 3070, 630, 10174, 1040, 901, 4523, 950, 630, 2330, 321, 317, 273, 268, 476, 275, 659, 2330, 264, 568, 476, 271, 563, 1892, 476, 271, 1109, 9418, 3435, 630, 23085, 1040, 901, 4523, 950, 630, 2330, 321, 317, 273, 268, 476, 275, 659, 2330, 264, 568, 2942, 269, 0, 9008, 540, 2985, 454, 15507, 692, 258, 1215, 1677, 281, 14419, 519, 2549, 870, 540, 31786, 10261, 539, 630, 528, 654, 3430, 720, 264, 585, 7102, 18740, 692, 4415, 865, 1082, 1114, 5546, 267, 7306, 543, 6163, 540, 1769, 26892, 2139, 267, 621, 568, 2653, 547, 7340, 602, 789, 2965, 4196, 513, 1483, 3483, 2507, 4033, 982, 547, 1413, 7168, 267, 540, 1576, 2439, 25748, 267, 594, 4076, 1185, 513, 1297, 540, 23965, 3914, 856, 547, 2307, 952, 519, 1769, 20856, 675, 267, 669, 28888, 1512, 610, 20805, 656, 267, 3092, 269, 789, 5063, 12349, 786, 581, 2614, 1769, 630, 528, 1932, 1454, 1769, 264, 585, 741, 2230, 780, 11039, 267, 594, 723, 513, 2241, 1505, 547, 1265, 856, 2439, 2005, 666, 3100, 899, 513, 18447, 4305, 547, 4137, 856, 875, 1454, 1769, 568, 2877, 538, 1022, 4055, 267, 855, 594, 26924, 596, 267, 621, 568, 2241, 2507, 2353, 596, 991, 568, 2596, 2979, 543, 519, 7403, 540, 519, 3259, 543, 8700, 540, 519, 4055, 538, 3952, 2439, 2414, 12433, 654, 3430, 720, 10261, 539, 585, 7102, 18740, 1384, 2005, 4992, 899, 621, 1522, 581, 7294, 267, 855, 621, 2731, 568, 1175, 2241, 2979, 2439, 2414, 1376, 267, 782, 596, 991, 547, 798, 568, 9062, 519, 3259, 540, 519, 4055, 538, 3952, 676, 519, 8700, 540, 519, 4055, 538, 3952, 269, 901, 786, 2285, 596, 519, 4009, 22089, 780, 2690, 1383, 267, 513, 476, 1626, 3723, 1279, 676, 476, 1691, 3723, 2647, 4055, 814, 513, 4009, 22089, 2698, 540, 476, 23470, 780, 5629, 596, 723, 519, 4009, 22089, 540, 519, 4055, 267, 596, 666, 946, 621, 547, 5173, 875, 1454, 26910, 720, 596, 786, 991, 547, 1769, 519, 4055, 780, 763, 2601, 519, 26910, 720, 9819, 568, 1271, 568, 1317, 1034, 1651, 663, 27853, 8654, 26892, 723, 513, 5021, 26910, 720, 7396, 780, 2690, 1383, 267, 513, 476, 277, 2000, 697, 669, 28888, 1512, 602, 3096, 1651, 663, 27853, 15620, 1522, 723, 513, 5021, 26910, 720, 540, 476, 2568, 26334, 829, 1769, 267, 585, 513, 2698, 540, 476, 11740, 26334, 585, 519, 20856, 675, 269, 1215, 1131, 596, 917, 952, 476, 11740, 26334, 568, 2614, 585, 707, 1079, 3613, 800, 535, 1195, 518, 1769, 286, 2107, 568, 476, 11740, 26334, 936, 26973, 585, 519, 15982, 14254, 562, 809, 2496, 2414, 5173, 519, 2698, 26910, 720, 2877, 267, 9062, 707, 4009, 22089, 676, 476, 272, 269, 276, 780, 7883, 532, 1394, 547, 938, 1383, 540, 519, 476, 1626, 685, 676, 476, 1691, 685, 4055, 267, 799, 814, 513, 4009, 22089, 540, 476, 23470, 267, 649, 1131, 9062, 476, 23470, 676, 476, 272, 269, 276, 543, 1205, 476, 28656, 26334, 780, 763, 2489, 8654, 538, 519, 4055, 786, 991, 547, 3914, 519, 476, 28656, 26334, 1665, 547, 2327, 972, 568, 7899, 540, 2949, 1769, 780, 763, 476, 274, 7756, 17796, 540, 8752, 281, 4937, 31786, 267, 17130, 31786, 543, 6452, 550, 31786, 692, 14197, 31786, 692, 1432, 568, 2489, 8654, 543, 1946, 568, 621, 1271, 286, 4937, 8654, 267, 610, 19355, 8654, 267, 2488, 513, 6899, 1377, 540, 21386, 267, 3850, 4896, 547, 1294, 543, 3802, 1472, 538, 519, 4055, 9108, 780, 2005, 568, 849, 4330, 607, 519, 11255, 4528, 540, 2596, 7943, 543, 568, 519, 1292, 1898, 585, 1022, 8654, 1544, 780, 763, 1655, 26892, 602, 1683, 2489, 8654, 585, 513, 4055, 616, 669, 28888, 4536, 267, 20805, 1218, 267, 23574, 543, 10859, 22286, 2313, 4410, 338, 543, 3774, 521, 935, 806, 269, 4635, 513, 2036, 334, 540, 891, 1769, 2010, 786, 2285, 596, 519, 1655, 2949, 8654, 538, 519, 4055, 543, 1711, 3308, 1719, 1932, 780, 5194, 1271, 1826, 540, 8654, 568, 4305, 8654, 269, 1656, 9811, 267, 568, 621, 4010, 1018, 621, 4992, 899, 269, 17130, 8654, 568, 1031, 585, 7900, 4247, 799, 2154, 811, 1463, 1769, 585, 519, 1808, 1858, 596, 616, 2324, 538, 780, 290, 8504, 267, 7311, 1118, 5346, 267, 3257, 6780, 267, 2324, 593, 12348, 267, 4730, 3756, 610, 2542, 2835, 786, 2154, 513, 1463, 2707, 540, 1769, 2864, 982, 1175, 519, 2489, 8654, 3177, 538, 519, 4055, 269, 7305, 543, 11380, 22311, 267, 18711, 6186, 3774, 521, 935, 806, 267, 896, 22277, 8654, 267, 8602, 8709, 640, 267, 10051, 6532, 543, 3915, 328, 731, 8279, 616, 782, 1806, 540, 4305, 20218, 1769, 26892, 780, 2791, 666, 5173, 875, 1454, 4305, 8654, 26910, 720, 568, 2838, 1210, 519, 1482, 1505, 607, 4505, 269, 15439, 5173, 519, 4009, 22089, 540, 519, 2627, 1858, 596, 991, 811, 1463, 8654, 593, 267, 971, 607, 513, 11380, 610, 4831, 269, 25092, 519, 4009, 22089, 676, 476, 273, 269, 276, 547, 1205, 519, 6700, 26910, 720, 20856, 675, 585, 519, 1858, 780, 2690, 1383, 267, 952, 513, 11380, 3349, 1283, 568, 476, 274, 685, 676, 476, 277, 8730, 519, 4009, 22089, 568, 476, 1240, 269, 25092, 476, 1240, 676, 476, 273, 269, 276, 543, 596, 1205, 476, 3393, 26334, 269, 634, 476, 3393, 26334, 540, 4305, 8654, 2877, 585, 938, 960, 1858, 786, 711, 1039, 610, 10208, 689, 519, 6700, 476, 28656, 26334, 585, 519, 2489, 8654, 780, 16914, 550, 31786, 692, 763, 3791, 2707, 540, 8654, 1031, 538, 1374, 568, 20020, 8654, 780, 16914, 550, 8654, 568, 1031, 547, 1039, 3308, 1719, 547, 513, 2230, 676, 2870, 513, 17122, 1448, 269, 634, 17122, 1448, 666, 581, 1148, 593, 519, 6821, 267, 519, 6821, 2933, 267, 7622, 2371, 610, 1256, 519, 3688, 593, 513, 2835, 3559, 325, 780, 32381, 540, 519, 17122, 1448, 267, 538, 1931, 585, 621, 547, 1796, 856, 1851, 519, 1964, 540, 519, 3688, 538, 519, 4055, 267, 20020, 8279, 1590, 581, 1614, 2053, 17321, 982, 519, 2489, 8654, 2838, 538, 519, 2230, 269, 570, 871, 8654, 543, 4605, 22311, 616, 1031, 547, 3035, 971, 12416, 538, 513, 4055, 780, 2252, 1031, 538, 513, 2230, 7157, 267, 891, 1614, 2959, 540, 8654, 910, 4937, 267, 17130, 267, 543, 6452, 550, 267, 849, 5219, 547, 607, 2482, 1359, 1769, 910, 616, 1883, 547, 8236, 519, 1655, 8654, 2009, 780, 1012, 10765, 24762, 692, 8450, 2353, 692, 19177, 12085, 3733, 9540, 6355, 13201, 570, 4381, 2725, 692, 272, 269, 1403, 596, 960, 593, 1945, 1169, 1554, 267, 621, 786, 1332, 269, 1656, 594, 1611, 267, 1169, 1554, 269, 9741, 676, 2370, 543, 1554, 676, 1554, 568, 1732, 982, 4986, 693, 782, 269, 5272, 1554, 594, 798, 1945, 547, 948, 1628, 610, 2087, 1250, 1870, 692, 8070, 281, 18248, 273, 318, 8070, 454, 321, 18847, 540, 2985, 0, 515, 1430, 6773, 569, 476, 273, 1296, 3516, 2433, 2020, 272, 269, 646, 1430, 6773, 569, 692, 287, 295, 3266, 798, 596, 917, 875, 547, 798, 713, 286, 2433, 2020, 273, 269, 646, 1430, 6773, 569, 692, 334, 2129, 267, 594, 1705, 1932, 2433, 270, 1985, 942, 594, 786, 2433, 291, 692, 274, 269, 646, 1430, 6773, 569, 692, 758, 599, 267, 7064, 256, 2433, 264, 594, 6415, 13110, 1932, 267, 594, 4312, 1044, 2324, 593, 621, 899, 782, 1554, 907, 3873, 267, 676, 2465, 2433, 291, 692, 275, 269, 646, 1430, 6773, 569, 692, 758, 599, 267, 786, 798, 2433, 291, 9684, 596, 340, 630, 1384, 276, 269, 646, 1430, 6773, 569, 692, 287, 295, 3266, 646, 5674, 630, 1384, 277, 269, 646, 1430, 6773, 569, 692, 810, 334, 666, 596, 948, 803, 286, 2433, 264, 646, 515, 692, 278, 269, 943, 328, 692, 2791, 723, 606, 3830, 1210, 519, 3830, 512, 284, 330, 9706, 2659, 1101, 1900, 568, 4137, 856, 1018, 737, 568, 267, 547, 798, 602, 267, 5372, 512, 543, 533, 609, 513, 6292, 540, 2338, 602, 834, 2998, 1927, 257, 1358, 2285, 596, 835, 6292, 540, 2338, 267, 519, 1101, 1899, 538, 707, 3349, 269, 2052, 596, 1265, 737, 2496, 279, 269, 646, 1430, 6773, 569, 692, 6614, 1695, 267, 855, 1018, 1131, 581, 519, 8424, 585, 519, 1866, 286, 899, 875, 798, 594, 4137, 621, 856, 286, 2433, 270, 692, 280, 269, 943, 328, 692, 6343, 568, 737, 26042, 1015, 269, 646, 1430, 6773, 569, 692, 334, 2129, 267, 594, 1810, 1405, 917, 2433, 270, 692, 1556, 269, 943, 328, 692, 1492, 1101, 1899, 3081, 3178, 2604, 942, 476, 271, 1111, 476, 272, 520, 332, 476, 2568, 2381, 789, 2285, 596, 513, 533, 630, 272, 693, 332, 264, 543, 942, 630, 2568, 1295, 264, 946, 713, 9623, 538, 512, 284, 330, 9706, 547, 1265, 737, 692, 1321, 269, 646, 1430, 6773, 569, 692, 810, 476, 2568, 284, 330, 270, 272, 10371, 328, 1131, 2053, 1312, 5011, 676, 476, 272, 2496, 1724, 269, 943, 328, 692, 9767, 1223, 267, 855, 4376, 5258, 676, 476, 272, 568, 3294, 267, 865, 1175, 27682, 737, 270, 272, 607, 737, 596, 1205, 737, 284, 476, 2568, 692, 1691, 269, 646, 1430, 6773, 569, 692, 334, 2129, 15502, 692, 1428, 269, 943, 328, 692, 810, 1118, 513, 4063, 267, 707, 3830, 568, 512, 284, 476, 2568, 9706, 692, 1626, 269, 943, 328, 692, 852, 547, 946, 713, 3830, 267, 596, 991, 547, 1265, 519, 2604, 693, 1142, 3178, 538, 519, 3349, 269, 11314, 476, 272, 3947, 606, 3830, 585, 875, 547, 1265, 519, 2604, 693, 513, 3178, 269, 2052, 596, 946, 621, 547, 6445, 538, 519, 2604, 6241, 26042, 1704, 269, 646, 1430, 6773, 569, 692, 1492, 546, 284, 3451, 266, 272, 3830, 286, 2433, 306, 692, 1240, 269, 646, 1430, 6773, 569, 692, 328, 1611, 546, 270, 692, 866, 269, 943, 328, 692, 13433, 267, 855, 1205, 519, 3877, 1318, 269, 1548, 568, 519, 3830, 585, 4466, 623, 26042, 736, 269, 646, 1430, 6773 ]

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

[ 1210, 15821, 7215, 267, 1620, 16526, 538, 835, 4756, 267, 543, 1620, 1894, 543, 5276, 3252, 607, 789, 1020, 1454, 4514, 11908, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935, 692, 1103, 519, 1770, 1053, 786, 4019, 543, 8831, 519, 6103, 476, 278, 11714, 28674, 2108, 476, 279, 4441, 1644, 547, 1603, 15821, 7215, 267, 10442, 9424, 1210, 15821, 7215, 267, 1620, 16526, 538, 835, 4756, 267, 543, 1620, 1894, 543, 5276, 3252, 607, 789, 1020, 1454, 4514, 9119, 630, 298, 268, 1321, 264, 31560, 14872, 4569, 5851, 269, 6103, 476, 275, 5149, 476, 272, 269, 4860, 2213, 4873, 476, 1001, 275, 11714, 28674, 2108, 634, 2203, 6437, 729, 15428, 547, 2992, 519, 24315, 6717, 2963, 7515, 282, 585, 811, 1344, 593, 519, 26941, 5225, 4945, 1934, 780, 22706, 476, 1556, 12708, 4569, 6103, 476, 1321, 12708, 4569, 19098, 476, 1556, 19098, 476, 1321, 21444, 28393, 1017, 1401, 4461, 5800, 531, 6103, 476, 1015, 1898, 2979, 11929, 2689, 2042, 269, 12708, 476, 1015, 11929, 5623, 630, 5575, 30453, 264, 11711, 12025, 281, 476, 274, 4200, 737, 321, 281, 11711, 7392, 281, 7824, 11908, 11621, 540, 28742, 15099, 15753, 3311, 717, 10345, 19549, 6103, 5149, 476, 272, 281, 19940, 10606, 267, 9255, 10025, 267, 543, 681, 15929, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 19940, 10606, 267, 9255, 10025, 543, 681, 15929, 11714, 23717, 5149, 476, 272, 9119, 11714, 28674, 397, 508, 476, 272, 294, 10345, 19549, 6103, 11714, 28674, 397, 508, 5149, 2433, 19940, 10606, 267, 9255, 10025, 543, 681, 15929, 9400, 28418, 267, 3557, 3427, 11714, 28674, 22935, 692, 12385, 24136, 630, 298, 268, 1321, 264, 31560, 14872, 4569, 5851, 269, 6103, 476, 275, 5149, 476, 272, 269, 4860, 2213, 4873, 476, 1001, 275, 11714, 28674, 2108, 634, 2203, 6437, 729, 15428, 547, 2992, 519, 24315, 6717, 2963, 7515, 282, 585, 811, 1344, 593, 519, 26941, 5225, 4945, 1934, 269, 11908, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935, 692, 10481, 3073, 807, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935, 31560, 14872, 5053, 3690, 3836, 10495, 630, 14457, 6478, 264, 910, 21213, 476, 276, 270, 272, 270, 1724, 1403, 596, 798, 711, 723, 519, 27024, 543, 10957, 547, 1569, 10526, 5225, 4757, 713, 2232, 281, 631, 9573, 817, 287, 323, 4141, 8542, 329, 10993, 3629, 519, 1739, 1344, 538, 519, 1560, 540, 519, 4757, 1384, 29551, 14872, 5053, 3690, 3836, 10495, 630, 14457, 6478, 264, 910, 21213, 476, 276, 270, 272, 270, 1724, 1403, 596, 798, 711, 723, 519, 27024, 543, 10957, 547, 1569, 10526, 5225, 4757, 713, 2232, 281, 631, 9573, 817, 287, 323, 4141, 8542, 329, 10993, 3629, 519, 1739, 1344, 538, 519, 1560, 540, 519, 4757, 281, 31560, 14872, 5053, 3690, 3836, 10495, 630, 14457, 6478, 264, 910, 21213, 476, 276, 270, 272, 270, 1724, 1403, 596, 798, 711, 723, 519, 27024, 543, 10957, 547, 1569, 10526, 5225, 4757, 713, 2232, 281, 631, 9573, 817, 287, 323, 4141, 8542, 329, 10993, 3629, 519, 1739, 1344, 538, 519, 1560, 540, 519, 4757, 1384, 16215, 476, 272, 281, 4303, 476, 272, 281, 589, 15474, 5900, 3363, 547, 20134, 10606, 6103, 476, 279, 4841, 786, 1397, 602, 1840, 543, 12408, 616, 538, 951, 4569, 4804, 17644, 5149, 476, 272, 281, 4303, 476, 272, 281, 589, 15474, 5900, 3363, 547, 20134, 10606, 6103, 476, 279, 4841, 786, 1397, 602, 1840, 543, 12408, 616, 538, 951, 4569, 4804, 17644, 692, 300, 3464, 269, 631, 1068, 345, 781, 4147, 269, 9612, 713, 3135, 269, 4569, 5149, 476, 272, 715, 5446, 543, 20472, 532, 2983, 6248, 22955, 5149, 476, 275, 910, 13356, 7769, 543, 4256, 21964, 5149, 476, 278, 910, 17773, 543, 4256, 21964, 282, 26554, 543, 17438, 5149, 476, 1015, 910, 14484, 687, 543, 6641, 11496, 26577, 299, 4569, 268, 476, 275, 628, 3446, 3584, 6657, 707, 2979, 5013, 609, 519, 31764, 1449, 3029, 538, 27589, 2630, 269, 19999, 558, 3626, 525, 17547, 602, 6282, 675, 9577, 10724, 7089, 23281, 11714, 28674, 22935, 5149, 476, 272, 281, 715, 9331, 21612, 590, 2894, 10345, 6730, 20525, 2207, 25972, 3848, 476, 272, 281, 19940, 7089, 10241, 476, 272, 269, 272, 6480, 1493, 609, 19940, 10606, 1547, 1547, 1547, 1547, 272, 476, 272, 269, 273, 8196, 18827, 543, 25513, 1547, 1547, 1547, 1547, 1547, 273, 692, 1103, 519, 1770, 1053, 786, 4019, 543, 8831, 519, 6103, 476, 278, 11714, 28674, 2108, 476, 279, 4441, 1644, 547, 1603, 15821, 7215, 267, 10442, 9424, 1210, 15821, 7215, 267, 1620, 16526, 538, 835, 4756, 267, 543, 1620, 1894, 543, 5276, 3252, 607, 789, 1020, 1454, 4514, 5149, 476, 272, 281, 15775, 29035, 5149, 476, 273, 281, 18527, 8496, 1145, 16215, 476, 274, 281, 16387, 9255, 10025, 3848, 476, 272, 4530, 9906, 7151, 15005, 269, 9255, 10025, 3848, 476, 272, 4530, 11819, 10495, 15005, 1547, 4569, 9255, 10025, 7726, 5623, 269, 653, 339, 343, 269, 9906, 14506, 269, 898, 568, 1271, 585, 1053, 547, 2141, 2992, 593, 741, 960, 269, 769, 713, 2534, 519, 8086, 568, 519, 3992, 269, 9906, 616, 10452, 593, 1018, 789, 723, 4121, 692, 280, 628, 6103, 25526, 16775, 9119, 4530, 476, 272, 476, 280, 628, 6103, 25526, 16775, 9119, 4530, 476, 272, 269, 9986, 8615, 4566, 547, 1491, 513, 7552, 689, 1200, 2777, 538, 5842, 16205, 657, 267, 7147, 267, 547, 513, 3659, 8563, 28674, 12814, 338, 2777, 538, 2098, 777, 1092, 267, 7147, 269, 2701, 6027, 519, 3845, 1063, 519, 1079, 4025, 593, 513, 4786, 543, 1336, 621, 547, 581, 476, 279, 6279, 269, 1403, 519, 4336, 593, 519, 4786, 568, 476, 272, 476, 273, 10759, 4564, 476, 1691, 5195, 267, 799, 568, 14191, 547, 519, 4890, 3845, 538, 5195, 1063, 519, 1079, 4025, 286, 589, 269, 476, 4510, 11908, 1547, 11621, 540, 28742, 1547, 15099, 15753, 3311, 1547, 717, 10345, 6103, 476, 277, 1547, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 1547, 9119, 1547, 11908, 4972, 540, 4065, 11908, 11621, 540, 28742, 17563, 717, 10345, 6103, 476, 277, 9119, 11714, 28674, 397, 508, 5149, 278, 9119, 6103, 476, 277, 5149, 476, 278, 281, 21929, 4112, 32590, 281, 10606, 543, 741, 11534, 657, 2572, 9400, 28418, 267, 3557, 3427, 8111, 23734, 550, 11714, 28674, 22935 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4029, 3817, 3040, 476, 272, 5662, 1224, 298, 15811, 14732, 623, 7163, 454, 288, 2413, 4244, 547, 27910, 24687, 543, 1849, 14554, 24687, 267, 8111, 23087, 3091, 1164, 7779, 5530, 20929, 609, 2143, 3184, 24096, 543, 2079, 540, 2101, 4798, 267, 3197, 267, 543, 811, 563, 303, 1446, 21696, 267, 19232, 681, 3187, 6257, 519, 2360, 540, 519, 14798, 15435, 540, 476, 4489, 279, 267, 3006, 5219, 547, 607, 519, 5053, 12071, 269, 1280, 519, 1101, 851, 540, 519, 1650, 267, 519, 2068, 568, 513, 11397, 6161, 269, 634, 3197, 1865, 519, 4576, 607, 1498, 621, 779, 513, 2484, 268, 12537, 7613, 267, 1945, 602, 1152, 5540, 1004, 538, 2342, 269, 7216, 11673, 540, 519, 4576, 21843, 519, 30542, 22785, 540, 29053, 269, 634, 3197, 538, 519, 2475, 12314, 519, 4576, 609, 519, 9490, 267, 27337, 881, 2112, 2921, 1747, 538, 513, 11397, 2244, 269, 634, 4576, 568, 513, 12572, 856, 29115, 540, 519, 3520, 5558, 540, 2112, 267, 2404, 609, 4914, 4025, 543, 711, 2808, 1945, 602, 1223, 2479, 1860, 519, 1977, 1004, 269, 1879, 519, 3197, 798, 1865, 2436, 519, 4576, 1522, 12446, 538, 3013, 267, 789, 798, 865, 538, 2474, 540, 513, 4436, 4729, 267, 11021, 602, 519, 4914, 10546, 568, 1210, 519, 4914, 4576, 547, 10413, 4892, 267, 8744, 519, 4914, 3520, 5558, 547, 519, 1753, 4395, 269, 1677, 519, 3197, 267, 713, 9490, 4576, 23327, 519, 30279, 267, 4914, 3310, 540, 519, 10546, 269, 769, 519, 2796, 540, 519, 1650, 267, 519, 3197, 685, 7664, 540, 519, 4576, 4564, 519, 30542, 2684, 11131, 3310, 540, 1533, 18259, 543, 519, 1259, 602, 2112, 666, 1689, 1004, 779, 11994, 540, 1945, 899, 513, 2068, 563, 30631, 1302, 267, 519, 4576, 3217, 3597, 538, 519, 2475, 267, 543, 1004, 1831, 7210, 563, 3528, 918, 15811, 14732, 623, 7163, 0, 307, 744, 31165, 4959, 519, 1101, 10732, 540, 13491, 269, 1306, 649, 4862, 689, 938, 13491, 3988, 267, 519, 1101, 23156, 568, 519, 23156, 540, 4126, 563, 2690, 721, 267, 4126, 568, 899, 513, 6999, 269, 594, 4126, 594, 1205, 513, 21743, 1007, 11442, 585, 8285, 269, 1403, 596, 2907, 917, 596, 616, 2469, 547, 1205, 513, 21743, 1007, 11442, 267, 1287, 4126, 3217, 593, 513, 1114, 2495, 269, 589, 1978, 19104, 563, 1103, 519, 1715, 11620, 267, 4126, 568, 16219, 19104, 269, 4762, 1211, 3972, 269, 634, 6587, 540, 4126, 568, 4250, 269, 16593, 568, 6109, 3661, 269, 16593, 568, 9859, 4724, 2696, 269, 16593, 3340, 3972, 269, 11086, 267, 649, 616, 9415, 547, 2322, 938, 4126, 538, 2696, 543, 3972, 602, 646, 786, 5838, 563, 763, 7583, 332, 1588, 540, 713, 4126, 543, 3972, 538, 2696, 779, 5838, 766, 786, 581, 1336, 538, 519, 4126, 540, 519, 4947, 31050, 269, 634, 31050, 786, 2097, 543, 5838, 5840, 269, 634, 1323, 31212, 2290, 786, 3142, 827, 2696, 779, 8003, 593, 3618, 269, 1261, 786, 581, 2696, 609, 721, 269, 968, 1103, 1010, 2012, 519, 6082, 786, 2322, 741, 4126, 1848, 1924, 3081, 15623, 267, 945, 10530, 689, 30037, 269, 1306, 29064, 538, 938, 23156, 2542, 267, 4906, 814, 2097, 543, 646, 568, 938, 4126, 563, 1607, 568, 513, 1114, 689, 1018, 649, 5873, 3544, 519, 5939, 269, 1284, 5873, 2322, 707, 4126, 543, 3972, 538, 2229, 269, 1284, 616, 5143, 547, 3972, 538, 519, 4346, 269, 2107, 2029, 269, 2107, 2069, 269, 2107, 2182, 960, 269, 1284, 2461, 5143, 547, 2322, 938, 4126, 543, 3972, 538, 8103, 269, 7183, 540, 891, 616, 3983, 267, 1175, 711, 17709, 540, 938, 4126, 543, 3972, 269, 634, 6426, 29808, 827, 8380, 3972, 538, 519, 7301, 13922, 543, 7329, 11169, 540, 519, 1158, 269, 1548, 616, 10881, 602, 649, 2461, 8380, 3972, 538, 7301, 4126, 888, 31334, 722, 510, 722, 510, 454, 24168, 918, 301, 8582, 602, 596, 616, 3972, 532, 513, 7301, 4126, 952, 621, 14767, 547, 4194, 782, 707, 2042, 269, 8771, 4126, 568, 513, 4126, 602, 814, 1100, 6209, 4493, 538, 4641, 269, 10298, 602, 616, 10826, 268, 8712, 585, 782, 1272, 779, 10108, 267, 24074, 267, 9620, 267, 616, 711, 1483, 3435, 563, 18661, 267, 593, 519, 824, 1688, 267, 1281, 711, 9153, 547, 4194, 782, 540, 938, 2042, 269, 2696, 1281, 711, 9153, 602, 596, 786, 2760, 7985, 538, 713, 1272, 269, 15439, 1224, 519, 14644, 999, 269, 11088, 543, 1586, 267, 649, 616, 19230, 602, 649, 786, 22036, 8062, 543, 7092, 538, 938, 5132, 269, 4906, 5185, 7759, 545, 2544, 269, 4906, 11124, 269, 4906, 4810, 16236, 269, 4906, 11124, 269, 4906, 5747, 269, 8550, 1281, 2696, 9153, 606, 2653, 1272, 269, 1548, 2696, 1281, 9153, 568, 602, 646, 786, 581, 22290, 721, 998, 938, 9620, 269, 1261, 3947, 721, 4126, 585, 519, 2104, 563, 31334, 722, 510, 722, 510, 454, 306, 4488, 2177, 13036, 312, 267, 9358, 918, 301, 8582, 602, 596, 616, 3972, 532, 513, 7301, 4126, 952, 707, 4126, 1281, 711, 7048, 2390, 2696, 269, 1403, 2696, 568, 711, 513, 851, 540, 519, 3830, 267, 1287, 596, 616, 3972, 532, 513, 7301, 4126, 269, 5808, 616, 596, 3168, 547, 6038, 5838, 596, 281, 2029, 267, 10781, 267, 1920, 267, 610, 519, 2229, 286, 1452, 616, 711, 3983, 1919, 538, 2933, 855, 789, 786, 711, 4688, 596, 6306, 689, 2696, 269, 9453, 2696, 607, 513, 851, 540, 519, 3830, 267, 891, 786, 6038, 3111, 563, 1103, 476, 272, 8834, 649, 1224, 270, 515, 541, 602, 538, 4906, 2441, 649, 723, 1044, 2016, 513, 2713, 4126, 267, 711, 513, 4666, 610, 7301, 4126, 267, 855, 513, 2713, 4126, 269, 901, 568, 1018, 2696, 3091, 547, 721, 269, 769, 519, 1728, 19282, 968, 7069, 4126, 568, 3710, 593, 4986, 10815, 892, 649, 2206, 891, 1913, 538, 14235, 476, 273, 912, 2691, 14334, 1654, 2812, 1010, 17681, 3068, 454, 296, 1964, 593, 3571, 17946, 4474, 11419, 454, 1103, 1169, 1164, 543, 7088, 344, 575, 1446, 454, 7069, 19671, 6585, 1369, 519, 1654, 559, 454, 1103, 1261, 3691, 9749, 267, 4906, 568, 5219, 547, 607, 938, 4126, 543, 938, 19671, 269, 901, 4126, 1496, 27716, 316, 2560, 568, 513, 2922, 543, 5150, 19671, 585, 938, 2898, 1373, 2560, 1547, 4906, 568, 938, 2713, 19671, 269, 634, 2038, 10271, 950, 6849, 20655, 543, 7092, 6785, 4906, 729, 519, 1152, 835, 6325, 547, 1294, 873, 998, 519, 15420, 540, 1272, 269, 769, 519, 3032, 659, 558, 2125, 540, 7507, 267, 1141, 2038, 10271, 941, 12617, 267, 1585, 2038, 4168, 6698, 723, 1044, 1336, 269, 2290, 540, 891, 6698, 729, 519, 19671, 267, 513, 3090, 540, 4126, 269, 4906, 568, 519, 835, 602, 649, 666, 3972, 538, 938, 2729, 269, 1261, 568, 938, 2713, 4126, 563, 1103, 15420, 543, 8062, 2443, 2042, 267, 2591, 602, 786, 2097, 2443, 649, 723, 21705, 3972, 630, 327, 2100, 264, 538, 2696, 998, 4906, 2441, 1010, 12312, 269, 1924, 1141, 616, 596, 538, 8594, 540, 546, 20621, 286, 1548, 568, 621, 602, 4667, 899, 606, 11566, 4262, 540, 21817, 286, 1684, 596, 1745, 740, 337, 3424, 538, 513, 4262, 540, 27945, 1145, 286, 1548, 568, 707, 19671, 538, 519, 1164, 543, 7088, 344, 575, 1446, 888, 31334, 722, 510, 722, 510, 454, 299, 17129, 14877, 267, 9358, 918, 301, 8582, 596, 2461, 3972, 532, 538, 7301, 4126, 950, 596, 1869, 2661, 538, 4250, 269, 1306, 594, 1767, 693, 519, 4098, 267, 519, 6587, 540, 13400, 4126, 568, 4250, 269, 3683, 543, 936, 267, 13400, 4126, 568, 13615, 547, 968, 4777, 711, 581, 12922, 3034, 1103, 476, 3422, 276, 267, 8176, 5576, 592, 345, 267, 513, 1821, 719, 4168, 543, 17082, 540, 519, 3212, 534, 7491, 13371, 14816, 267, 729, 4280, 547, 1711, 513, 8285, 2027, 585, 595, 7034, 10023, 519, 3212, 534, 7491, 3197, 269, 1261, 8815, 609, 835, 10421, 267, 602, 789, 1450, 1864, 547, 1331, 519, 1650, 540, 519, 4332, 540, 4906, 269, 634, 1267, 568, 585, 519, 2250, 476, 2004, 13807, 639, 1296, 267, 6634, 540, 1004, 723, 14478, 968, 288, 24898, 9466, 8285, 892, 543, 723, 4862, 519, 1650, 540, 4906, 563, 296, 1224, 827, 513, 11029, 2962, 538, 713, 8285, 5929, 281, 6931, 639, 267, 513, 1126, 945, 4667, 547, 723, 538, 572, 15247, 267, 2141, 11438, 513, 3354, 24120, 609, 1864, 269, 6931, 639, 2760, 12772, 1010, 24120, 267, 4849, 538, 713, 19347, 7260, 269, 2755, 4687, 519, 5048, 540, 968, 6343, 8285, 568, 782, 827, 2223, 6931, 639, 12772, 1010, 24120, 693, 519, 3169, 4090, 646, 3081, 519, 1913, 267, 968, 325, 792, 711, 17373, 769, 713, 9583, 17608, 4090, 267, 6931, 639, 20205, 513, 3532, 12576, 540, 519, 3020, 2495, 540, 8285, 269, 968, 293, 792, 711, 2223, 585, 4906, 568, 4535, 269, 2696, 609, 721, 568, 519, 19671, 538, 1272, 779, 15420, 563, 31334, 722, 510, 722, 510, 454, 289, 6563, 539, 689, 4077, 331, 2940, 631, 269, 4325, 518, 543, 2048, 22146, 5020, 12080, 685, 593, 9365, 7498, 15578, 674, 7644, 4306, 595, 13263, 4041, 593, 519, 13491, 530, 805, 327, 4564, 4126, 1317, 513, 2713, 4126, 5956, 609, 513, 2370, 1126, 538, 513, 812, 3455, 267, 513, 7925, 267, 27303, 2370, 4816, 22885, 676, 519, 10513, 13336, 543, 4535, 547, 6307, 543, 9478, 269, 3371, 4126, 3459, 563, 2026, 713, 1507, 1126, 8057, 538, 588, 1155, 543, 7326, 267, 4126, 8057, 269, 1879, 646, 27086, 1866, 609, 1010, 10752, 267, 4126, 8057, 269, 1306, 646, 5340, 14393, 31397, 4191, 543, 13300, 267, 4126, 8057, 269, 1879, 646, 10356, 519, 7745, 543, 4503, 267, 4126, 8057, 269, 1879, 646, 11124, 543, 14894, 539, 5128, 2390, 513, 3444, 267, 4126, 8057, 563, 3891, 729, 6659, 689, 519, 4666, 267, 7902, 1354, 519, 20785, 267, 543, 10841, 2105, 547, 519, 1318, 1688, 540, 2696, 543, 7058, 1018, 286, 16593, 8057, 269, 2290, 1554, 267, 646, 4927, 2097, 1586, 547, 3142, 827, 2696, 779, 8003, 593, 3618, 269, 901, 568, 938, 2713, 4126, 563, 31334, 722, 510, 722, 510, 454, 291, 2177, 685, 307, 623, 7473, 22400, 13138, 19851, 538, 519, 7301, 13922, 540, 519, 1158, 267, 585, 789, 786, 1152, 14922, 269, 1684, 711, 581, 12922, 2443, 2322, 707, 4126, 538, 519, 2713, 4126, 540, 2696, 267, 4906, 2441, 269, 0, 299, 659, 4592, 572, 267, 513, 7328, 1634, 585, 922, 3728, 19550, 2962, 543, 2656, 10596, 267, 814, 8795, 3014, 546, 15342, 602, 666, 4734, 11655, 543, 1007, 5716, 7567, 11842, 267, 834, 1692, 1279, 568, 513, 22725, 4592, 572, 3014, 24350, 763, 2626, 3884, 1405, 607, 3551, 607, 835, 1522, 1589, 267, 607, 519, 3259, 540, 513, 22725, 4592, 572, 6474, 666, 4268, 7494, 4470, 593, 519, 1377, 540, 1404, 543, 1808, 21597, 3652, 563, 5804, 6107, 3756, 547, 3318, 22725, 4592, 572, 682, 8046, 267, 519, 3014, 3247, 335, 1137, 267, 936, 5503, 3652, 267, 543, 1256, 519, 10300, 1111, 830, 1974, 666, 782, 3310, 519, 2698, 3014, 942, 563, 15371, 596, 2811, 513, 6345, 17596, 547, 15378, 875, 1454, 1648, 547, 15395, 610, 513, 4715, 1807, 4058, 707, 1554, 1472, 513, 6474, 267, 1620, 519, 16082, 540, 22725, 4592, 572, 3014, 3259, 568, 1898, 563, 32153, 30086, 4592, 572, 10632, 281, 2817, 30086, 4592, 572, 13477, 630, 301, 17247, 264, 543, 20031, 1512, 30086, 4592, 572, 13477, 630, 12195, 299, 994, 2691, 621, 2501, 547, 3318, 22725, 4592, 572, 3756, 267, 519, 2817, 30086, 4592, 572, 13477, 543, 20031, 1512, 30086, 4592, 572, 13477, 13686, 930, 540, 519, 13074, 543, 1034, 9308, 14053, 5026, 4715, 8163, 563, 301, 17247, 3756, 267, 799, 4183, 519, 11255, 4528, 540, 519, 7328, 1634, 607, 4216, 22725, 4592, 572, 267, 2874, 540, 2185, 20453, 1142, 9434, 476, 1428, 3764, 269, 634, 12813, 299, 267, 606, 9205, 21597, 267, 5205, 513, 2147, 2497, 855, 609, 476, 1321, 18826, 20453, 563, 1103, 1312, 682, 8046, 267, 519, 3014, 9219, 13515, 585, 1585, 4128, 267, 971, 607, 950, 835, 2319, 8464, 610, 1282, 513, 15163, 267, 799, 666, 8831, 519, 4890, 8653, 540, 519, 3014, 563, 12234, 267, 952, 519, 3014, 568, 13615, 693, 519, 1439, 540, 7939, 942, 267, 936, 5503, 5712, 2097, 883, 1404, 267, 799, 666, 2417, 10804, 519, 1995, 563, 31955, 30086, 4592, 572, 10632, 281, 715, 7563, 288, 781, 16258, 6261, 3166, 2051, 5586, 5573, 645, 25114, 454, 31955, 6887, 4497, 538, 22725, 4592, 572, 13292, 602, 616, 711, 1152, 513, 13686, 540, 1762, 13007, 855, 849, 513, 15266, 547, 519, 7328, 781, 16608, 4170, 269, 5441, 22725, 4592, 572, 3756, 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 ]

[ 1911, 268, 6110, 290, 563, 31702, 264, 8738, 940, 18630, 18737, 634, 13838, 4283, 713, 7997, 1141, 5210, 616, 6854, 827, 476, 9610, 271, 268, 5611, 271, 595, 269, 634, 13838, 616, 10736, 883, 4158, 3039, 880, 11084, 543, 519, 1587, 5833, 538, 519, 29137, 267, 1634, 607, 804, 28310, 267, 568, 540, 8795, 2450, 476, 276, 547, 476, 736, 6515, 269, 634, 804, 1074, 619, 616, 1360, 3905, 950, 4947, 856, 540, 713, 7997, 563, 9827, 267, 519, 31682, 568, 3773, 1282, 8860, 827, 476, 273, 268, 275, 10065, 634, 31682, 6411, 607, 513, 29472, 518, 543, 865, 2636, 519, 9160, 547, 3575, 609, 5070, 610, 14919, 543, 547, 581, 5116, 538, 2990, 269, 1775, 4318, 269, 621, 4679, 519, 3355, 4259, 942, 540, 9160, 563, 289, 9506, 543, 25416, 281, 1452, 4238, 616, 519, 1482, 607, 585, 519, 6632, 1184, 269, 31453, 585, 519, 11544, 540, 6151, 2326, 269, 769, 519, 3819, 1184, 267, 519, 6151, 2326, 6404, 267, 535, 1441, 267, 543, 1287, 10480, 883, 29137, 6466, 267, 538, 519, 6632, 1184, 267, 519, 6151, 2326, 616, 16760, 14384, 543, 1287, 2047, 6404, 538, 2953, 8167, 538, 519, 4527, 540, 1216, 547, 1118, 513, 5386, 6094, 13594, 1634, 607, 6215, 25744, 269, 7476, 538, 25291, 609, 11115, 545, 0, 1692, 1082, 1309, 701, 10759, 538, 476, 272, 10759, 888, 763, 2626, 568, 476, 271, 269, 280, 6924, 271, 4649, 24496, 279, 4792, 6078, 563, 2171, 8263, 596, 616, 14291, 1063, 1309, 701, 10759, 543, 10759, 563, 2791, 666, 2070, 811, 3877, 593, 1142, 6482, 1770, 912, 3874, 10759, 610, 10759, 454, 763, 16038, 3490, 1770, 585, 3259, 568, 519, 25451, 563, 272, 25451, 568, 3160, 547, 476, 4343, 269, 12208, 275, 1240, 280, 4029, 3583, 280, 1309, 701, 10759, 267, 610, 476, 4375, 269, 24907, 271, 4281, 278, 2412, 14991, 10759, 563, 9616, 602, 24263, 6959, 949, 2049, 267, 865, 2141, 2638, 519, 2164, 563, 8196, 713, 2985, 547, 1451, 875, 547, 6460, 1063, 1309, 701, 6279, 543, 6279, 563, 13911, 538, 707, 1378, 2338, 538, 519, 1106, 547, 6460, 519, 4559, 2336, 272, 1309, 701, 10759, 547, 10759, 815, 476, 272, 269, 30033, 10759, 454, 276, 1309, 701, 10759, 547, 10759, 815, 476, 276, 269, 13932, 4200, 10759, 454, 1015, 1309, 701, 10759, 547, 10759, 815, 476, 1015, 269, 31696, 4200, 10759, 454, 1428, 1309, 701, 10759, 547, 10759, 815, 476, 1428, 269, 5392, 275, 7176, 10759, 454, 736, 1309, 701, 10759, 547, 10759, 815, 476, 736, 269, 4792, 280, 9032, 10759, 454, 1839, 1309, 701, 10759, 547, 10759, 815, 476, 1839, 269, 279, 2190, 9032, 10759, 454, 1789, 1309, 701, 10759, 547, 10759, 815, 476, 1789, 269, 7176, 280, 9834, 10759, 454, 2412, 1309, 701, 10759, 547, 10759, 815, 476, 6078, 269, 29204, 4817, 10759, 454, 2004, 1309, 701, 10759, 547, 10759, 815, 476, 7906, 269, 5038, 280, 11152, 10759, 454, 2791, 666, 798, 519, 9258, 1770, 7503, 689, 10759, 547, 1309, 701, 10759, 267, 610, 4283, 1022, 1079, 4559, 2630, 912, 3874, 10759, 547, 2473, 1770, 454, 3874, 10759, 547, 11281, 454, 3874, 10759, 547, 1665, 1000, 664, 454, 3874, 10759, 547, 10814, 454, 3874, 10759, 547, 15073, 454, 3874, 10759, 547, 24349, 13452, 454, 3874, 10759, 547, 3654, 17844, 11726, 1889, 454, 3874, 10759, 547, 561, 1872, 454, 3874, 10759, 547, 20267, 10309, 454, 3874, 10759, 547, 7510, 326, 1889, 454, 2304, 10759, 568, 519, 2012, 540, 513, 1770, 540, 3259, 538, 513, 1297, 540, 1114, 1949, 267, 1519, 15875, 4559, 267, 543, 2136, 2276, 22232, 4559, 269, 1703, 616, 476, 3607, 6279, 538, 513, 13452, 543, 476, 1321, 6279, 538, 513, 3723, 269, 634, 10759, 568, 2356, 519, 8471, 1770, 540, 6482, 538, 519, 2136, 2276, 267, 543, 568, 4922, 1031, 538, 519, 2136, 8003, 267, 543, 4516, 267, 5103, 519, 4367, 540, 11973, 547, 519, 8545, 1079, 538, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 267, 6606, 269, 634, 10759, 568, 1869, 4122, 1031, 1217, 958, 267, 4352, 10169, 1447, 267, 538, 824, 20448, 6082, 971, 607, 5245, 282, 606, 1383, 1373, 519, 1279, 7555, 2245, 540, 7893, 519, 4463, 540, 20169, 1453, 538, 6279, 2864, 982, 1298, 22015, 637, 269, 634, 3486, 10759, 568, 3989, 547, 581, 3160, 547, 476, 1839, 269, 275, 28935, 563, 3519, 3200, 4462, 1080, 2593, 2488, 606, 2228, 7503, 9498, 585, 782, 2010, 540, 6482, 4559, 269, 1411, 666, 1265, 11973, 7503, 7515, 585, 16038, 4559, 267, 607, 1134, 607, 2296, 4559, 267, 9304, 267, 543, 824, 1239, 269, 7392, 538, 1770, 6698, 267, 31120, 267, 610, 2407, 4408, 585, 4559, 540, 3259, 267, 1858, 267, 2527, 267, 2604, 267, 543, 824, 2010, 269, 6201, 1331, 6515, 267, 10759, 267, 476, 1911, 4846, 267, 2475, 5714, 26412, 267, 476, 277, 262, 274, 2580, 476, 1015, 6149, 476, 275, 267, 12945, 4699, 267, 15432, 16302, 267, 10101, 267, 18253, 267, 3952, 829, 2034, 267, 543, 1082, 811, 256, 0, 299, 603, 1756, 568, 606, 12659, 8932, 4496, 1459, 538, 1895, 476, 272, 540, 519, 13350, 3349, 269, 4706, 10570, 1297, 568, 476, 274, 543, 922, 10570, 2527, 568, 476, 277, 269, 280, 6078, 269, 901, 1797, 16864, 814, 476, 274, 9211, 267, 476, 274, 22571, 855, 476, 275, 9211, 269, 634, 3090, 585, 16864, 568, 968, 30537, 9731, 301, 5446, 543, 3778, 454, 763, 2262, 16864, 568, 6508, 689, 519, 5259, 2262, 968, 331, 603, 657, 892, 799, 1797, 968, 7723, 6100, 1306, 621, 568, 5097, 1459, 538, 7725, 563, 1103, 519, 476, 9692, 271, 338, 267, 21280, 2946, 12844, 604, 659, 1470, 1101, 4362, 513, 7777, 540, 16864, 1572, 4620, 531, 924, 538, 13785, 269, 2201, 8781, 267, 621, 5795, 6309, 5459, 18723, 269, 769, 476, 8687, 278, 267, 2977, 534, 1488, 325, 342, 2644, 517, 267, 513, 16528, 2447, 626, 4767, 267, 6594, 267, 543, 9916, 519, 3601, 540, 602, 3693, 538, 6149, 563, 3891, 17429, 1027, 602, 621, 729, 513, 1007, 3693, 602, 729, 711, 1634, 5892, 543, 5795, 519, 2012, 19077, 1756, 543, 1767, 602, 621, 729, 606, 12659, 8932, 4496, 899, 9770, 855, 729, 711, 3811, 538, 5248, 908, 621, 676, 14793, 3974, 899, 31406, 563, 19365, 15952, 324, 543, 9966, 874, 787, 5096, 344, 10446, 9678, 16864, 585, 519, 1101, 942, 676, 14793, 3974, 540, 16864, 12547, 269, 769, 519, 3735, 476, 6977, 271, 338, 267, 4436, 2447, 626, 7917, 645, 684, 11420, 543, 3703, 2447, 626, 31217, 4223, 628, 328, 612, 523, 267, 676, 519, 14793, 3974, 540, 16864, 17296, 3893, 513, 13557, 540, 16864, 563, 30999, 584, 5270, 540, 19077, 1756, 454, 299, 603, 1756, 568, 513, 3810, 19535, 3693, 865, 1281, 711, 2291, 607, 513, 1863, 3693, 538, 2470, 269, 4107, 569, 621, 568, 1459, 538, 1490, 710, 20115, 610, 12647, 267, 6886, 899, 4620, 531, 924, 267, 838, 617, 636, 2940, 267, 682, 3671, 565, 924, 267, 3092, 269, 898, 568, 5097, 1459, 538, 25183, 5337, 15667, 7725, 269, 2368, 5666, 666, 849, 581, 1336, 538, 838, 3419, 7297, 267, 6070, 7297, 269, 634, 2101, 18261, 540, 19077, 1756, 568, 16266, 267, 1141, 1490, 710, 20115, 616, 1459, 563, 19187, 2906, 540, 19077, 1756, 454, 299, 603, 1756, 568, 513, 3810, 19535, 2571, 267, 3623, 854, 22554, 855, 1769, 652, 12659, 8932, 4496, 269, 4706, 2168, 543, 3114, 3601, 18613, 811, 22279, 3618, 4496, 982, 922, 1378, 1895, 269, 19077, 1756, 538, 922, 6986, 1106, 23465, 609, 2011, 547, 1106, 16864, 28355, 1813, 547, 11517, 1543, 538, 519, 2011, 267, 16864, 6491, 20183, 32232, 609, 9436, 267, 543, 16864, 19941, 593, 5114, 609, 3327, 8166, 563, 763, 13621, 1448, 540, 16864, 568, 476, 5197, 269, 2004, 9180, 543, 922, 14495, 1448, 568, 476, 16328, 273, 9180, 269, 898, 568, 519, 1769, 652, 4496, 609, 1360, 1970, 25297, 543, 513, 1360, 1970, 5860, 540, 476, 271, 269, 276, 4097, 10101, 829, 12945, 1298, 9014, 269, 901, 5860, 568, 1447, 982, 1216, 269, 19077, 1756, 6818, 607, 513, 4396, 693, 4055, 2837, 563, 299, 603, 1756, 568, 1351, 4592, 633, 269, 898, 23465, 609, 1216, 855, 711, 3423, 1836, 607, 9770, 269, 898, 814, 513, 1164, 1808, 3002, 4390, 267, 1164, 5687, 545, 19428, 267, 543, 17285, 16864, 616, 19729, 538, 993, 1149, 971, 607, 2802, 2643, 8533, 269, 769, 3693, 531, 1106, 267, 621, 568, 3810, 1166, 30100, 543, 3947, 6309, 5459, 18723, 593, 8781, 563, 299, 603, 1756, 538, 18143, 7010, 454, 5278, 15244, 540, 16864, 616, 1459, 538, 1480, 4703, 269, 1452, 616, 28041, 609, 1426, 269, 898, 814, 1100, 1634, 6211, 1909, 855, 1031, 538, 6527, 543, 21447, 585, 7099, 23638, 543, 812, 13519, 4713, 563, 308, 4513, 540, 19077, 1756, 454, 18814, 547, 922, 1164, 1808, 3002, 4390, 267, 16864, 568, 1031, 607, 513, 3002, 4483, 8665, 543, 3579, 1218, 538, 26119, 1141, 23377, 10514, 731, 618, 3217, 1747, 563, 299, 603, 1756, 568, 4922, 1031, 538, 22507, 762, 9075, 971, 607, 4254, 3796, 267, 3059, 12514, 267, 24195, 267, 3092, 269, 621, 568, 849, 1031, 538, 9075, 540, 2295, 10605, 16234, 543, 9162, 563, 18814, 547, 922, 17426, 267, 621, 568, 18585, 539, 609, 11956, 267, 7601, 267, 547, 1118, 1454, 6793, 543, 3532, 8407, 585, 8484, 563, 299, 603, 1756, 17296, 543, 16864, 28538, 728, 723, 1728, 326, 14029, 8084, 2470, 269, 1452, 616, 1031, 607, 15018, 8069, 563, 299, 603, 1756, 588, 792, 622, 5713, 607, 513, 1164, 27529, 19149, 656, 543, 31294, 5394, 10273, 563, 299, 603, 1756, 568, 4922, 1031, 538, 519, 5663, 540, 2027, 14296, 267, 20341, 267, 28028, 1350, 30769, 267, 23907, 267, 3092, 563, 299, 603, 1756, 19941, 568, 1031, 538, 6527, 547, 1521, 7099, 23638, 563, 3674, 582, 8554, 540, 19077, 1756, 454, 299, 603, 1756, 814, 476, 278, 24745, 8151, 689, 2527, 1297, 476, 276, 547, 476, 278, 269, 1703, 616, 1079, 6923, 9648, 7123, 24745, 540, 16864, 269, 19077, 1756, 268, 476, 278, 568, 811, 10731, 609, 3592, 476, 10844, 260, 543, 19077, 1756, 268, 476, 277, 568, 827, 476, 278, 10065, 0, 6011, 547, 13217, 4154, 1510, 8652, 18608, 545, 3679, 10915, 1456, 11394, 547, 4894, 891, 824, 2609, 547, 1205, 519, 4154, 607, 2673, 547, 6986, 607, 2009, 269, 519, 1101, 1900, 568, 7484, 9934, 799, 568, 519, 8851, 540, 1022, 1291, 6404, 538, 609, 519, 4154, 269, 713, 568, 8022, 519, 4154, 909, 547, 519, 13621, 1448, 538, 513, 7484, 601, 267, 513, 8670, 1500, 540, 24338, 5642, 11849, 267, 799, 25309, 782, 519, 1291, 856, 540, 519, 4154, 269, 1201, 454, 6011, 547, 13217, 4154, 1510, 8652, 18608, 545, 3679, 10915, 1456, 11394, 547, 4894, 891, 824, 2609, 547, 1205, 519, 4154, 607, 2673, 547, 6986, 607, 2009, 269, 519, 1101, 1900, 568, 7484, 9934, 799, 568, 519, 8851, 540, 1022, 1291, 6404, 538, 609, 519, 4154, 269, 713, 568, 8022, 519, 4154, 909, 547, 519, 13621, 1448, 538, 513, 7484, 601, 267, 513, 8670, 1500, 540, 24338, 5642, 11849, 267, 799, 25309, 782, 519, 1291, 856, 540, 519, 4154, 269, 1201, 10719, 282, 17975, 4214, 543, 2495, 1492, 3504, 1184, 540, 17975, 4154, 814, 2907, 1044, 4330, 896, 12669, 21395, 630, 6518, 1294, 1040, 1034, 540, 519, 23573, 8100, 616, 547, 519, 17975, 540, 8988, 630, 2889, 18690, 476, 1839, 281, 275, 282, 1990, 3663, 7559, 327, 476, 1724, 281, 280, 282, 568, 320, 11672, 476, 4366, 281, 1015, 1040, 519, 8988, 1031, 676, 519, 606, 857, 757, 729, 4440, 5833, 676, 1159, 601, 1154, 1291, 30423, 7626, 267, 3638, 538, 8988, 630, 1173, 550, 26448, 7523, 6511, 1040, 4154, 17975, 538, 519, 3504, 1158, 326, 1245, 17975, 538, 519, 3504, 1158, 15292, 476, 1001, 276, 676, 3915, 3638, 835, 3364, 602, 11542, 856, 585, 803, 568, 602, 989, 878, 7637, 729, 1360, 1808, 827, 519, 1826, 540, 4496, 610, 3574, 538, 519, 28352, 543, 8043, 602, 941, 547, 581, 1031, 269, 6986, 560, 4154, 281, 5601, 781, 17975, 3595, 538, 938, 2729, 15290, 513, 8022, 2604, 568, 4294, 547, 938, 2729, 267, 5601, 568, 4098, 519, 27715, 1184, 269, 1498, 649, 1419, 2243, 5601, 607, 547, 1946, 649, 616, 1373, 30201, 3176, 267, 649, 4166, 2097, 547, 1265, 602, 5601, 568, 26460, 721, 609, 519, 1360, 3364, 649, 2219, 729, 519, 31169, 269, 605, 18690, 476, 1839, 281, 1556, 630, 1556, 2567, 513, 2262, 3514, 569, 9275, 568, 899, 13212, 540, 4154, 538, 513, 4259, 540, 8988, 269, 4154, 4393, 12766 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2168, 3441, 563, 2252, 596, 1995, 1022, 540, 891, 4191, 267, 621, 568, 1271, 547, 3142, 707, 2780, 547, 513, 3318, 1239, 6051, 3028, 607, 4166, 607, 2009, 267, 1354, 519, 3441, 4991, 8338, 543, 519, 1239, 3587, 811, 2352, 610, 7543, 547, 9156, 563, 3721, 338, 547, 6875, 1879, 674, 5217, 8447, 28100, 12983, 454, 16498, 3441, 547, 513, 2182, 5397, 568, 513, 3978, 3390, 602, 666, 2014, 2530, 540, 1271, 1239, 269, 898, 666, 4755, 1813, 547, 1896, 4128, 971, 607, 23139, 6749, 267, 14700, 267, 8022, 267, 610, 824, 2168, 28654, 269, 1403, 596, 2461, 7231, 609, 713, 3390, 267, 621, 779, 1898, 547, 1491, 7525, 2962, 547, 9156, 1239, 1354, 621, 779, 1932, 3735, 269, 634, 1739, 616, 519, 3268, 596, 666, 1491, 950, 6849, 2168, 3441, 2152, 563, 3721, 476, 272, 281, 5295, 1055, 519, 3926, 454, 763, 1101, 1900, 547, 1491, 568, 547, 1379, 1055, 519, 3926, 5612, 269, 898, 779, 1271, 1317, 4881, 513, 2182, 5397, 602, 814, 2168, 3441, 666, 2014, 2417, 2800, 543, 1118, 519, 6051, 1184, 811, 2352, 269, 4595, 519, 2182, 5397, 779, 7344, 2694, 616, 10347, 543, 1500, 540, 6419, 2326, 267, 621, 1131, 581, 1655, 547, 2057, 4881, 519, 3926, 547, 2061, 2417, 3441, 563, 3721, 476, 273, 281, 28018, 519, 2182, 5397, 454, 16498, 3441, 666, 2014, 7298, 29565, 2583, 267, 546, 757, 267, 610, 824, 14796, 547, 519, 2182, 5397, 779, 16538, 269, 28018, 519, 2182, 5397, 585, 1022, 7298, 4191, 540, 3441, 610, 1022, 8966, 21089, 269, 1403, 596, 5469, 1022, 14796, 267, 798, 711, 3801, 547, 7816, 610, 1930, 519, 2182, 5397, 3054, 267, 607, 621, 666, 2014, 2417, 3441, 269, 5502, 267, 3343, 519, 948, 540, 513, 3318, 1239, 6051, 3028, 563, 3721, 476, 274, 281, 16418, 3318, 948, 454, 2005, 779, 1898, 547, 3343, 3318, 948, 689, 513, 1239, 6051, 3028, 602, 24870, 538, 2182, 5397, 6051, 269, 1358, 723, 519, 2556, 2645, 267, 3937, 267, 543, 6791, 547, 9156, 1239, 689, 8697, 2182, 11479, 269, 898, 779, 2629, 547, 3442, 513, 18019, 3028, 8502, 609, 513, 3950, 2594, 540, 3811, 1239, 6051, 563, 3721, 476, 275, 281, 7982, 1575, 1239, 5781, 454, 2414, 2057, 2104, 1239, 2530, 267, 621, 779, 1898, 547, 19307, 1239, 5781, 269, 1411, 666, 19307, 1239, 593, 606, 5007, 5397, 610, 6531, 4859, 865, 602, 596, 666, 3362, 1569, 621, 952, 707, 3926, 13341, 2168, 3441, 2152, 563, 16498, 3441, 547, 513, 2182, 5397, 568, 513, 3978, 3390, 602, 3340, 7525, 3007, 269, 1879, 6849, 2168, 3441, 2152, 267, 1379, 1055, 519, 3926, 267, 8524, 519, 2182, 5397, 267, 3343, 3318, 948, 267, 543, 19307, 1239, 5781, 547, 2057, 2104, 1239, 2530, 563, 13434, 1478, 532, 4578, 689, 513, 674, 9229, 10434, 20000, 593, 5839, 454, 10574, 568, 1419, 2808, 835, 540, 519, 1034, 3407, 7221, 538, 519, 3059, 2085, 269, 700, 3151, 1271, 6119, 666, 2014, 513, 1713, 2179, 540, 2566, 267, 2523, 950, 789, 616, 10710, 593, 513, 8959, 2182, 5397, 269, 5839, 13013, 2473, 3755, 616, 711, 4761, 547, 713, 1966, 267, 543, 621, 779, 711, 16613, 585, 873, 547, 1995, 2182, 5397, 5821, 563, 14188, 2685, 267, 972, 616, 1869, 2081, 547, 9156, 1271, 1239, 689, 513, 8959, 2182, 5397, 593, 5839, 13013, 2473, 269, 769, 713, 2376, 267, 649, 786, 1865, 930, 540, 519, 2409, 596, 666, 946, 547, 9156, 1239, 689, 513, 8959, 2182, 5397, 563, 272, 269, 2598, 330, 7780, 1006, 454, 291, 7416, 7780, 1006, 568, 513, 3710, 2987, 1907, 538, 5839, 13013, 2473, 602, 666, 581, 1031, 585, 1585, 5301, 267, 1519, 12210, 7816, 543, 1239, 6051, 269, 1677, 946, 2598, 330, 7780, 1006, 585, 1239, 6051, 267, 596, 991, 547, 1921, 519, 8959, 2182, 5397, 547, 707, 5839, 2780, 543, 10131, 2598, 330, 7780, 1006, 269, 3245, 972, 267, 2824, 519, 8959, 2182, 5397, 543, 4945, 593, 519, 968, 5575, 22707, 892, 9184, 269, 8437, 593, 968, 305, 684, 892, 547, 1376, 519, 7816, 1184, 269, 1403, 2598, 330, 7780, 1006, 568, 2111, 547, 3713, 1022, 9156, 762, 6119, 267, 621, 786, 5401, 596, 547, 4688, 873, 563, 273, 269, 4578, 18401, 12229, 454, 2252, 2598, 330, 7780, 1006, 568, 711, 2111, 547, 9156, 707, 1239, 267, 972, 616, 1896, 1239, 6051, 3301, 3681, 2139, 585, 5839, 13013, 2473, 3755, 269, 2290, 540, 519, 1034, 2442, 3681, 568, 2598, 330, 3220, 650, 267, 799, 3091, 513, 1863, 4528, 585, 3755, 547, 2119, 856, 269, 4033, 3681, 1331, 661, 848, 4785, 4578, 18401, 654, 19123, 543, 853, 15362, 4578, 18401, 563, 2414, 946, 1239, 6051, 3301, 267, 596, 991, 547, 4647, 543, 3888, 519, 3301, 593, 707, 5839, 2780, 543, 1921, 519, 8959, 2182, 5397, 269, 3245, 972, 267, 519, 3301, 786, 11571, 519, 5397, 543, 3801, 547, 9156, 1022, 9156, 762, 6119, 563, 274, 269, 12333, 4578, 18401, 7896, 454, 2252, 9444, 2598, 330, 7780, 1006, 6862, 1239, 6051, 3301, 568, 2111, 547, 9156, 707, 1239, 267, 621, 949, 581, 942, 547, 3343, 519, 948, 540, 513, 3318, 1239, 6051, 3028, 269, 1452, 2533, 616, 1419, 7199, 267, 855, 789, 2709, 513, 2362, 4960, 540, 23232, 707, 1271, 6119, 269, 12333, 1239, 6051, 2533, 7500, 676, 771, 553, 5145, 1782, 519, 8959, 2182, 5397, 543, 23232, 519, 1239, 693, 513, 18784, 1377, 563, 13434, 1478, 532, 1239, 689, 513, 8959, 2182, 5397, 593, 5839, 13013, 2473, 666, 581, 4101, 267, 855, 621, 568, 711, 7543, 269, 1635, 1210, 2598, 330, 7780, 1006, 267, 1239, 6051, 3301, 267, 610, 3318, 1239, 6051, 2533, 267, 596, 666, 2333, 707, 8458, 540, 32006, 1645, 1271, 6119, 269, 17859, 540, 799, 1505, 596, 3442, 267, 621, 568, 2141, 5227, 547, 5781, 1394, 909, 707, 1239, 547, 2057, 1022, 2530, 538, 519, 2104, 563, 291, 7416, 7780, 1006, 585, 18401, 454, 291, 7416, 7780, 1006, 267, 3710, 2987, 3301, 593, 5839, 13013, 2473, 267, 3091, 513, 3099, 540, 10624, 3046, 3681, 585, 23232, 8959, 2182, 11479, 269, 1452, 3681, 666, 581, 15600, 676, 22745, 2598, 330, 7780, 1006, 543, 8939, 519, 8959, 2182, 5397, 563, 2691, 14467, 593, 519, 968, 17572, 892, 10624, 538, 2598, 330, 7780, 1006, 267, 596, 666, 2824, 968, 6124, 12005, 892, 543, 3442, 547, 1711, 606, 3239, 540, 519, 3003, 8959, 2182, 5397, 610, 513, 1808, 15652, 269, 901, 666, 581, 3730, 952, 519, 8959, 2182, 5397, 568, 1869, 2111, 547, 581, 6444, 676, 519, 2780, 855, 568, 8572, 547, 18849, 909, 563, 763, 968, 31171, 892, 10624, 538, 2598, 330, 7780, 1006, 2882, 3681, 971, 607, 968, 4910, 1125, 892, 543, 968, 27916, 648, 892, 799, 666, 581, 1031, 547, 759, 1125, 519, 15652, 610, 11177, 513, 19307, 3239, 547, 513, 2182, 5397, 563, 15152, 519, 968, 8698, 892, 10624, 267, 3755, 666, 3442, 547, 1397, 610, 12404, 519, 2427, 8663, 543, 1907, 8663, 538, 2598, 330, 7780, 1006, 269, 634, 968, 17004, 2353, 20905, 892, 4781, 568, 849, 2139, 267, 799, 10525, 782, 2139, 3457, 267, 851, 1431, 267, 543, 12531, 538, 2598, 330, 7780, 1006, 563, 763, 968, 20360, 578, 892, 10624, 3091, 1896, 3681, 585, 5883, 2598, 330, 7780, 1006, 9486, 267, 1519, 519, 2702, 547, 7413, 267, 24680, 267, 543, 3142, 9486, 547, 519, 4395, 563, 7661, 267, 519, 968, 20055, 892, 10624, 2488, 1569, 547, 2598, 330, 7780, 1006, 12319, 543, 3606, 1489, 2200, 563, 4407, 2598, 330, 7780, 1006, 949, 711, 581, 2111, 547, 9156, 782, 1239, 689, 513, 8959, 2182, 5397, 267, 621, 568, 513, 3730, 1907, 585, 5883, 543, 30076, 2182, 11479, 593, 513, 5839, 13013, 2473, 1062, 269, 1635, 5432, 1944, 13951, 609, 519, 10624, 3046, 3681, 538, 2598, 330, 7780, 1006, 267, 3755, 666, 1732, 6330, 519, 3301, 543, 5732, 9156, 1271, 6119, 689, 513, 8959, 2182, 5397, 563, 8794, 16710, 32653, 585, 4578, 18401, 593, 5839, 13013, 2473, 454, 2252, 596, 723, 4810, 513, 2182, 5397, 5821, 593, 707, 5839, 267, 596, 949, 581, 11842, 875, 547, 9156, 707, 1271, 1239, 269, 2755, 972, 616, 1082, 6051, 3301, 3292, 2139, 267, 596, 949, 711, 1616, 547, 7048, 593, 873, 585, 513, 3099, 540, 4128, 269, 18641, 267, 5839, 13013, 2473, 814, 513, 3710, 2987, 1907, 602, 666, 5351, 538, 1239, 6051, 281, 519, 16710, 32653, 563, 25219, 559, 1944, 519, 16710, 32653, 547, 9156, 1239, 568, 711, 585, 519, 25861, 540, 2295, 269, 898, 3340, 930, 2930, 917, 24376, 543, 519, 18515, 547, 1826, 538, 513, 1906, 12981, 269, 634, 1184, 666, 581, 10347, 543, 6959, 666, 2049, 952, 711, 2944, 7157, 269, 1717, 267, 585, 1346, 945, 616, 8348, 547, 2285, 621, 513, 2119, 267, 519, 16710, 32653, 666, 581, 513, 3532, 1907, 563, 763, 1101, 1900, 538, 1210, 519, 16710, 32653, 585, 1239, 6051, 568, 547, 1569, 621, 269, 1411, 666, 798, 713, 676, 6679, 519, 12910, 1400, 813, 267, 799, 666, 581, 1336, 538, 519, 7780, 1988, 17835, 1369, 519, 10241, 17835, 269, 4495, 12910, 1400, 568, 1930, 267, 1826, 538, 519, 1739, 4971, 281, 968, 4134, 330, 583, 559, 1592, 6100, 901, 786, 1683, 596, 609, 513, 1592, 540, 782, 519, 11479, 543, 12531, 4448, 547, 707, 5839, 563, 9202, 267, 596, 3580, 991, 547, 3313, 799, 5397, 610, 4320, 814, 519, 4503, 1239, 596, 1616, 547, 9156, 269, 6733, 585, 1022, 3457, 609, 513, 2699, 1257, 6003, 267, 607, 713, 6920, 602, 519, 5397, 610, 4320, 568, 711, 15841, 543, 949, 2270, 4503, 1239, 269, 4495, 596, 723, 4857, 519, 5397, 610, 4320, 596, 1616, 547, 9156, 1239, 689, 267, 2328, 1524, 922, 32165, 267, 799, 786, 1413, 1945, 899, 968, 270, 22563, 270, 4134, 330, 273, 338, 274, 9731, 763, 1985, 1900, 568, 547, 946, 513, 1808, 4971, 547, 1711, 513, 12210, 3239, 540, 519, 4320, 596, 1616, 547, 9156, 1239, 689, 269, 7392, 538, 519, 1739, 4971, 267, 13868, 968, 15275, 8595, 892, 609, 519, 32165, 596, 5206, 1524, 538, 519, 3105, 1900, 912, 2108, 338, 30186, 546, 323, 952, 284, 270, 22563, 270, 15275, 8595, 540, 284, 270, 12949, 270, 1729, 270, 13548, 6155, 16936, 5996, 284, 7224, 19587, 267, 27675, 322, 7536, 1607, 4971, 786, 1711, 513, 12210, 3239, 540, 519, 4320, 267, 9494, 621, 607, 606, 3239, 3758, 609, 513, 1547, 323, 16936, 10137, 563, 5629, 519, 12210, 3239, 814, 1044, 2813, 267, 596, 666, 946, 513, 1239, 6051, 3301, 1982, 547, 11571, 519, 3239, 543, 9156, 1022, 4503, 1239, 269, 2142, 2386, 547, 946, 513, 18019, 1982, 543, 1118, 2386, 621, 568, 15095, 609, 5839, 13013, 2473, 563, 4407, 1210, 519, 16710, 32653, 585, 1239, 6051, 593, 5839, 13013, 2473, 949, 581, 25254, 267, 621, 666, 6038, 4688, 596, 2724, 543, 942, 676, 3850, 596, 547, 9156, 4503, 1239, 1510, 519, 991, 585, 3318, 1239, 6051, 2533, 269, 1717, 267, 1118, 2386, 547, 1491, 15416, 543, 581, 6297, 950, 12394, 547, 9156, 1239, 998, 713, 1505, 563, 21607, 519, 5839, 538, 18401, 25042, 547, 7457, 23452, 4578, 454, 16914, 6342, 4755, 267, 543, 3006, 10475, 1239, 666, 581, 4503, 1813, 547, 513, 1297, 540, 4128, 269, 6787, 621, 779, 1813, 547, 23139, 32280, 267, 11249, 6959, 267, 610, 18348, 539, 6119, 267, 9561, 1271, 1239, 666, 2014, 11784, 543, 17140, 269, 18641, 267, 5839, 3755, 723, 513, 6051, 7154, 602, 666, 948, 1569, 4503, 1239, 563, 3725, 11734, 7154, 568, 513, 3532, 1907, 3710, 883, 519, 5839, 5665, 1062, 602, 2636, 3755, 547, 23676, 2393, 543, 7816, 741, 5839, 267, 607, 1134, 607, 1569, 4503, 1239, 269, 1677, 1569, 6051, 7154, 267, 596, 3580, 991, 547, 1964, 691, 707, 5839, 543, 3180, 1524, 519, 16710, 630, 414, 490, 502, 264, 543, 681, 10569, 1927, 2394, 519, 11197, 20446, 5526, 269, 901, 786, 1491, 596, 547, 519, 5672, 5308, 7780, 1988, 10624, 563, 5804, 519, 5672, 5308, 7780, 1988, 10624, 267, 596, 666, 3442, 547, 5368, 560, 718, 5672, 5308, 267, 11177, 689, 513, 5384, 10724, 19307, 267, 946, 2598, 330, 7780, 1006, 547, 7816, 1062, 6959, 267, 610, 1569, 4503, 1239, 269, 1677, 1569, 4503, 1239, 267, 2824, 519, 968, 27916, 648, 689, 5384, 10724, 7982, 1575, 892, 4781, 543, 1246, 519, 593, 1606, 10547, 5528, 563, 2252, 596, 1810, 1406, 723, 513, 5384, 10724, 19307, 267, 1810, 1406, 11784, 269, 1411, 666, 1869, 9156, 4503, 1239, 676, 1210, 1239, 6051, 3301, 269, 15439, 2824, 519, 968, 291, 7416, 7780, 1006, 892, 4781, 689, 519, 5672, 5308, 7780, 1988, 10624 ]

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

[ 825, 609, 1930, 31526, 273, 267, 1412, 342, 10807, 607, 536, 6769, 1038, 513, 22182, 16597, 10734, 264 ]

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

[ 814, 4957, 543, 875, 621, 568, 16111, 4657, 267, 585, 1732, 610, 585, 8338, 269, 634, 2376, 267, 968, 5978, 7169, 13201, 3807, 23548, 684, 2223, 676, 717, 3271, 807, 23415, 655, 14550, 930, 1806, 540, 713, 269, 3245, 713, 2376, 267, 1352, 9607, 1079, 1271, 14868, 3823, 22158, 602, 1869, 4019, 547, 2486, 2221, 269, 13966, 609, 891, 14868, 267, 23415, 655, 3769, 1896, 1883, 1806, 540, 875, 22158, 1869, 814, 513, 1279, 1259, 547, 979, 2394, 2347, 7862, 568, 454, 29638, 7862, 281, 519, 533, 4883, 12386, 1523, 602, 1977, 2486, 568, 711, 27940, 18418, 2299, 3843, 547, 3035, 269, 3509, 4892, 723, 18617, 2933, 602, 4008, 7862, 729, 1121, 539, 1221, 676, 519, 715, 12078, 14821, 543, 519, 5822, 12339, 21442, 11873, 267, 543, 723, 711, 2808, 519, 5215, 540, 3268, 602, 616, 2451, 593, 519, 3460, 269, 769, 2487, 1296, 267, 513, 2339, 540, 1857, 1719, 814, 1044, 519, 4008, 13230, 7934, 267, 17548, 602, 2021, 616, 15980, 3648, 1447, 2724, 982, 2367, 585, 3257, 606, 6697, 2179, 540, 960, 269, 31379, 540, 519, 4674, 547, 968, 19874, 519, 4837, 18109, 892, 3409, 602, 513, 2628, 7934, 1281, 711, 2291, 267, 543, 602, 952, 621, 1281, 267, 621, 568, 1317, 2021, 2901, 798, 711, 960, 607, 2182, 267, 723, 547, 4043, 547, 741, 3885, 267, 610, 3180, 2539, 9878, 6009, 269, 1717, 267, 519, 4008, 2628, 7934, 814, 1044, 8810, 547, 2291, 538, 513, 3099, 540, 1114, 3029, 2676, 19185, 693, 519, 2413, 5604, 972, 616, 1082, 968, 6921, 817, 2781, 559, 902, 892, 602, 853, 2465, 548, 4016, 547, 711, 1152, 4019, 547, 18441, 855, 547, 25469, 538, 2489, 269, 2368, 20148, 525, 949, 3247, 1004, 689, 1373, 15469, 1317, 789, 616, 19531, 730, 676, 2021, 543, 798, 711, 1589, 789, 1058, 581, 5116, 593, 519, 1482, 1377, 607, 2933, 267, 1256, 1498, 789, 616, 8449, 11727, 585, 519, 2990, 269, 853, 2465, 548, 849, 12909, 827, 875, 513, 3765, 4310, 29341, 666, 2490, 856, 547, 581, 513, 19319, 971, 607, 519, 1523, 540, 10304, 267, 1317, 1004, 946, 621, 547, 741, 5413, 865, 1454, 602, 621, 1831, 513, 1835, 8553, 585, 519, 1964, 540, 741, 2729, 269, 25067, 9607, 513, 811, 1367, 1184, 540, 17528, 547, 2743, 3872, 4441, 8754, 282, 968, 2791, 1205, 3440, 2452, 619, 945, 1223, 18923, 1106, 513, 7623, 4845, 547, 1832, 513, 2915, 1055, 873, 1848, 901, 3948, 568, 1869, 3020, 547, 713, 1554, 1813, 547, 519, 1249, 602, 865, 1082, 1004, 1205, 7608, 593, 2407, 11878, 5026, 25689, 855, 741, 19174, 616, 2630, 1612, 267, 865, 602, 952, 1945, 4523, 602, 8952, 873, 689, 12721, 538, 5026, 789, 666, 711, 6488, 547, 3251, 538, 2852, 6862, 666, 789, 1832, 741, 9344, 454, 9743, 6627, 10168, 568, 17149, 538, 519, 2136, 2276, 269, 2382, 6627, 10168, 568, 7683, 9648, 267, 2436, 621, 581, 538, 519, 960, 3196, 267, 3506, 267, 610, 519, 7803, 5126, 1062, 269, 634, 2681, 540, 835, 779, 2960, 568, 513, 8159, 3815, 585, 1010, 1967, 538, 513, 2754, 267, 543, 2436, 610, 711, 646, 7475, 909, 538, 519, 5480, 1949, 267, 543, 585, 875, 1279, 563, 10908, 817, 18109, 269, 634, 2165, 834, 6921, 817, 18109, 257, 568, 3622, 1031, 547, 3277, 547, 8320, 1141, 2021, 543, 18441, 723, 27636, 1369, 606, 3919, 267, 855, 5103, 741, 27606, 543, 20340, 267, 1265, 621, 2352, 547, 1118, 519, 3350, 883, 1883, 2362, 1377, 2359, 7158, 267, 610, 2359, 7158, 693, 782, 269, 634, 1514, 19319, 891, 4837, 2781, 559, 902, 568, 519, 17418, 540, 519, 1034, 11727, 5520, 547, 1847, 883, 519, 1034, 1271, 7158, 1813, 547, 13061, 7355, 971, 607, 5198, 610, 4008, 630, 308, 2529, 269, 26321, 25477, 31621, 8189, 267, 476, 1220, 277, 1916, 30469, 26856, 2982, 875, 2352, 621, 568, 547, 1205, 15469, 538, 9546, 27926, 267, 799, 8309, 547, 1200, 4661, 602, 9546, 27926, 1281, 711, 1521, 741, 5520, 607, 789, 1058, 269, 769, 1840, 267, 621, 2982, 1946, 5520, 666, 1406, 723, 1732, 2729, 1317, 789, 1118, 5934, 13848, 585, 513, 1279, 1974, 267, 543, 960, 3063, 3108, 1510, 3478, 6976, 585, 621, 269, 9986, 26856, 5267, 267, 968, 515, 4280, 585, 513, 13319, 267, 855, 1614, 3275, 2663, 646, 729, 1869, 3257, 519, 3063, 960, 585, 1100, 3063, 2628, 892, 630, 277, 1040, 9986, 26856, 779, 1448, 568, 602, 9546, 27926, 5520, 666, 1406, 1205, 15469, 1256, 950, 789, 2119, 267, 3079, 9546, 27926, 568, 1210, 873, 543, 1118, 873, 960, 9875, 269, 23207, 569, 1282, 1200, 2376, 9986, 26856, 2306, 621, 2312, 602, 9546, 27926, 7518, 1080, 741, 5520, 269, 5015, 267, 9986, 26856, 6799, 721, 609, 1776, 24034, 1249, 602, 1397, 602, 711, 1152, 621, 568, 3592, 7543, 547, 1205, 15469, 538, 9546, 27926, 267, 621, 568, 811, 2352, 547, 1205, 15469, 952, 519, 9441, 568, 513, 4775, 269, 4340, 547, 9986, 26856, 267, 968, 310, 531, 5336, 691, 2221, 814, 519, 1482, 6871, 540, 2021, 538, 2359, 602, 519, 3328, 2754, 1185, 538, 476, 3192, 276, 892, 630, 276, 1040, 769, 824, 1913, 267, 519, 6871, 540, 2021, 538, 2359, 1705, 711, 1689, 689, 476, 3192, 276, 267, 950, 2021, 14201, 1406, 3160, 538, 513, 960, 5790, 607, 789, 2221, 269, 9986, 26856, 2488, 18802, 602, 10607, 1200, 4661, 543, 8761, 9546, 27926, 15490, 1145, 563, 310, 2674, 543, 2367, 8428, 538, 1082, 2081, 1312, 31127, 543, 9308, 543, 713, 1031, 547, 581, 513, 2601, 1082, 1031, 547, 1118, 7130, 1996, 4807, 11807, 267, 2705, 713, 814, 1044, 29653, 543, 814, 1044, 11329, 856, 602, 1256, 1498, 2367, 543, 4807, 723, 1713, 6211, 3604, 922, 2486, 779, 3375, 547, 2285, 4008, 3989, 5107, 602, 814, 3361, 519, 15523, 269, 630, 25486, 267, 18718, 2917, 269, 11557, 267, 13834, 543, 5980, 267, 476, 3192, 273, 4700, 634, 2856, 602, 2367, 616, 811, 24940, 865, 789, 1058, 581, 519, 3283, 547, 979, 547, 1153, 543, 1205, 513, 1434, 2816, 3379, 547, 2021, 945, 1058, 3251, 693, 1753, 609, 519, 1453, 949, 3100, 899, 513, 1650, 689, 1296, 3516, 267, 713, 1869, 4386, 538, 10430, 2221, 269, 9282, 6690, 2221, 19250, 856, 1685, 8695, 538, 2069, 267, 713, 1646, 3085, 1406, 4483, 883, 519, 960, 1747, 269, 901, 1287, 12857, 519, 1523, 540, 519, 4837, 18109, 630, 22985, 21563, 656, 267, 1520, 15553, 267, 2735, 275, 264, 799, 9388, 609, 519, 1523, 602, 972, 568, 606, 15865, 10465, 7303, 4807, 689, 2324, 909, 519, 4876, 21117, 269, 19716, 1932, 454, 1103, 606, 3919, 267, 519, 15796, 2356, 5161, 540, 513, 13737, 610, 1895, 540, 1379, 693, 519, 1283, 609, 7766, 2157, 540, 1379, 9944, 873, 269, 901, 568, 519, 4122, 1031, 1259, 540, 15518, 908, 5234, 610, 2818, 540, 519, 3919, 538, 1034, 3906, 269, 11283, 725, 267, 6608, 267, 543, 3909, 3906, 616, 21712, 3906, 609, 1114, 2157, 540, 2359, 267, 1379, 543, 6392, 269, 634, 9036, 814, 3006, 1044, 5219, 547, 607, 606, 11375, 2214, 3386, 1747, 585, 2021, 1813, 547, 519, 2789, 3029, 540, 4008, 16526, 1459, 630, 6781, 2449, 267, 476, 1960, 272, 1040, 2368, 1806, 540, 875, 9036, 7130, 11874, 5540, 2021, 779, 15271, 543, 3255, 616, 519, 4008, 13230, 7934, 630, 30821, 3205, 543, 21546, 267, 476, 1960, 276, 1070, 519, 20317, 540, 2021, 538, 5718, 630, 292, 698, 569, 543, 2961, 2993, 267, 476, 1220, 278, 1070, 543, 519, 3476, 942, 2838, 585, 2021, 3379, 547, 2367, 547, 4434, 538, 741, 11678, 630, 7922, 879, 543, 1546, 309, 16619, 267, 476, 1220, 278, 1040, 769, 824, 1913, 267, 9036, 7130, 8309, 547, 2021, 779, 2539, 8739, 20300, 4567, 799, 8754, 1291, 547, 2021, 2348, 547, 7017, 585, 1970, 2628, 539, 6009, 610, 2348, 519, 5728, 800, 1532, 1601, 2186, 540, 2078, 538, 1931, 547, 581, 15469, 563, 1103, 519, 2034, 8717, 540, 519, 476, 2641, 560, 2540, 267, 519, 1906, 2021, 602, 1118, 621, 547, 519, 1283, 607, 1869, 2938, 607, 968, 1492, 9868, 892, 543, 2687, 547, 1382, 713, 568, 513, 968, 26921, 5202, 1966, 6100, 15788, 267, 2021, 1106, 513, 1713, 851, 540, 519, 11668, 3196, 267, 855, 519, 18180, 9397, 12341, 1063, 1647, 2359, 543, 519, 524, 25252, 924, 630, 1492, 1283, 26933, 1040, 901, 2736, 538, 519, 18180, 568, 3361, 676, 1585, 2152, 1519, 3906, 17528, 547, 5431, 543, 2697, 741, 1378, 4837, 2781, 559, 902, 543, 3384, 3617, 3435, 602, 711, 1152, 6861, 519, 4837, 18109, 855, 849, 6439, 1518, 741, 5718, 27983, 269, 4107, 11932, 267, 519, 4527, 540, 1164, 3613, 9850, 4775, 9946, 814, 513, 5458, 1764, 593, 4008, 8635, 538, 519, 9036, 267, 2021, 538, 7158, 540, 6392, 1205, 547, 1118, 3664, 593, 2152, 1519, 4008, 2628, 7934, 543, 4129, 1881, 17849, 2853, 269, 1717, 267, 713, 2736, 538, 519, 18180, 7182, 2021, 779, 1569, 547, 5718, 7158, 543, 968, 655, 1943, 4315, 1175, 1810, 1406, 1294, 2614, 2021, 538, 5718, 7158, 693, 741, 3549, 892, 630, 290, 4752, 2006, 2676, 763, 19371, 9919, 4979, 8189, 4362, 6848, 267, 7293, 267, 543, 22257, 7496, 782, 17808, 2021, 543, 18441, 689, 8757, 1283, 2359, 7158, 454, 29189, 1143, 2509, 2021, 538, 519, 9036, 849, 1634, 607, 17163, 3023, 1143, 568, 835, 540, 519, 9510, 1106, 540, 7130, 1996, 2021, 269, 6736, 2810, 11044, 593, 4008, 7862, 543, 15594, 5322, 5001, 267, 2324, 2021, 3136, 547, 4339, 585, 7862, 2523, 538, 3043, 2275, 20683, 1305, 902, 269, 9282, 972, 814, 1044, 7096, 3356, 998, 519, 1296, 267, 2324, 2021, 3136, 547, 3068, 811, 2591, 607, 3379, 547, 2367, 1312, 538, 519, 7262, 607, 1134, 607, 3384, 2477, 269, 5525, 1631, 1397, 602, 519, 26321, 9796, 2920, 5293, 538, 519, 2136, 2276, 538, 476, 3422, 274, 547, 13373, 880, 4008, 1759, 14057, 3604, 568, 711, 1373, 24451, 607, 2021, 3136, 547, 7118, 1447, 982, 741, 5256, 13413, 538, 519, 1482, 2361, 630, 23173, 1842, 267, 1001, 276, 1040, 5047, 267, 18872, 2021, 723, 547, 6560, 609, 4763, 593, 1283, 540, 8635, 269, 634, 3510, 568, 8338, 538, 3384, 2477, 1141, 3356, 568, 15641, 539, 676, 2686, 4978, 543, 2853, 3823, 2021, 1141, 789, 616, 1028, 322, 18620, 811, 609, 6469, 26050, 585, 1383, 269, 4634, 609, 811, 2021, 2921, 909, 5107, 538, 5718, 267, 1870, 543, 6214, 2221, 267, 1082, 811, 3136, 547, 3068, 546, 545, 19303, 1282, 17849, 543, 3260, 687, 607, 1134, 607, 14057, 13103, 269, 0, 291, 773, 595, 8463, 22948, 454, 291, 773, 16213, 568, 513, 4496, 16213, 1184, 602, 3322, 519, 3498, 540, 1164, 2604, 547, 3196, 519, 25183, 4496, 883, 513, 8032, 9044, 13570, 269, 634, 10523, 1031, 538, 5884, 16213, 616, 2356, 1500, 540, 2182, 2989, 1907, 5374, 543, 723, 513, 1808, 3337, 269, 634, 1184, 568, 2147, 547, 602, 1031, 538, 13297, 27724, 269, 634, 10523, 616, 3335, 8032, 899, 13297, 28633, 563, 291, 773, 7041, 568, 513, 2629, 1900, 538, 5884, 16213, 269, 634, 1184, 6238, 609, 519, 13621, 540, 4496, 543, 922, 7766, 4483, 547, 513, 5884, 610, 12068, 269, 13689, 593, 519, 1826, 540, 5884, 2275, 8463, 3684, 1031, 267, 519, 1184, 666, 4125, 2901, 513, 2241, 26311, 5106, 610, 513, 1184, 538, 799, 519, 4496, 568, 22280, 883, 519, 5884, 693, 1164, 2604, 269, 634, 4496, 4396, 5809, 3330, 519, 5884, 607, 513, 1267, 540, 519, 1164, 2604, 269, 634, 2179, 540, 4496, 602, 568, 22280, 883, 519, 5884, 568, 5219, 547, 607, 519, 8929, 269, 1677, 1451, 811, 267, 3643, 4179, 2517, 4178, 4732, 1245, 344, 2593, 270, 563, 5629, 519, 5884, 568, 4712, 267, 621, 1590, 581, 19149, 730, 543, 19345, 1354, 16213, 269, 634, 2179, 540, 19149, 566, 2838, 5673, 593, 519, 2450, 540, 519, 851, 267, 922, 3337, 267, 543, 519, 4496, 779, 5687, 17871, 3601, 269, 4746, 267, 519, 11098, 540, 519, 851, 779, 6821, 786, 3313, 875, 1279, 621, 786, 991, 547, 3579, 269, 30850, 267, 519, 4396, 1881, 16213, 786, 581, 6569, 689, 519, 5884, 998, 606, 552, 20287, 7271, 563, 763, 2179, 540, 1570, 2838, 585, 513, 851, 786, 3313, 519, 1942, 540, 5884, 7041, 269, 634, 1942, 786, 4096, 593, 519, 1570, 779, 1770, 3902, 267, 851, 4320, 267, 543, 5021, 3774, 11098, 269, 901, 1942, 849, 2882, 519, 2597, 540, 1570, 602, 568, 2556, 547, 6445, 519, 5884, 9055, 269, 1280, 3236, 267, 513, 25182, 851, 786, 2154, 811, 1570, 547, 6445, 519, 9055, 267, 1247, 513, 23198, 835, 786, 2154, 4130, 9055 ]

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

[ 263, 2017, 2187, 2018, 952, 711, 1225, 912, 3546, 2132, 476, 271, 454, 2018, 678, 815, 973, 9309, 263, 2017, 16192, 994, 2018, 561, 815, 973, 9309, 263, 2017, 16000, 994, 2018, 1582, 27982, 815, 3193, 4311, 27982, 267, 1225, 22183, 1341, 561, 1341, 678, 994, 2018, 2132, 3193, 263, 2017, 22183, 267, 1225, 22183, 1341, 3193, 10857, 267, 678, 1070, 476, 271, 2020, 1038, 1582, 27982, 815, 3597, 22183, 454, 1038, 973, 9309, 20172, 994, 1038, 2132, 1582, 27982, 692, 345, 815, 8827, 10797, 320, 815, 30741, 263, 1321, 994, 321, 815, 30741, 8987, 1428, 994, 322, 815, 30741, 263, 736, 994, 323, 815, 30741, 263, 1428, 994, 258, 546, 22183, 815, 910, 3374, 454, 324, 815, 30741, 263, 278, 994, 258, 552, 22183, 815, 910, 278, 692, 320, 16000, 815, 536, 454, 320, 16192, 815, 524, 692, 322, 16000, 815, 546, 454, 322, 16192, 815, 552, 692, 325, 815, 30741, 263, 271, 2020, 2745, 18750, 27982, 26073, 11764, 6262, 4297, 0, 5035, 8827, 912, 825, 1219, 16212, 4517, 1103, 3200, 15862, 4311, 267, 589, 2187, 1038, 585, 1775, 538, 2039, 12759, 10490, 15892, 2018, 589, 5157, 316, 815, 20328, 10490, 5157, 7481, 2018, 589, 5157, 316, 815, 1496, 842, 263, 2254, 737, 264, 585, 737, 538, 589, 5157, 27663, 1038, 2132, 589, 11468, 6540, 320, 815, 8827, 4590, 321, 476, 815, 20886, 272, 267, 272, 267, 271, 25662, 272, 267, 271, 267, 272, 25662, 271, 267, 271, 267, 271, 27663, 321, 815, 20886, 272, 267, 272, 267, 271, 267, 271, 25662, 272, 267, 271, 267, 271, 267, 272, 25662, 271, 267, 272, 267, 272, 267, 272, 25662, 272, 267, 271, 267, 272, 267, 271, 27663, 2745, 5416, 269, 4148, 760, 4517, 1103, 3200, 15862, 6357, 4917, 0, 5814, 4351, 692, 3698, 15652, 16597, 267, 22141, 2187, 825, 1447, 267, 3160, 267, 3152, 815, 1496, 3910, 1496, 3910, 11713, 825, 585, 6221, 538, 1239, 912, 1038, 952, 6221, 2999, 22141, 912, 2018, 1447, 6910, 263, 14403, 994, 1038, 8640, 6221, 3436, 22141, 912, 2018, 3152, 6910, 263, 14403, 994, 1038, 3116, 912, 2018, 3160, 6910, 263, 14403, 994, 825, 2132, 1447, 267, 3160, 267, 3152, 7531, 3698, 2656, 572, 937, 25225, 267, 4994, 2187, 825, 22141, 815, 15358, 314, 12690, 27110, 263, 271, 267, 7003, 25225, 264, 910, 476, 272, 22708, 825, 1293, 815, 476, 271, 454, 825, 4130, 267, 3160, 267, 3677, 815, 15652, 25225, 267, 22141, 994, 825, 1293, 815, 7003, 263, 16029, 994, 825, 4571, 815, 7003, 4433, 332, 718, 518, 2020, 825, 952, 4571, 10922, 4994, 543, 4994, 2999, 4571, 1341, 1293, 912, 1038, 2132, 22141, 454, 825, 8640, 4571, 3436, 4994, 912, 1038, 2132, 2656, 572, 937, 4433, 332, 718, 518, 267, 4994, 994, 825, 3116, 912, 1038, 2132, 2656, 572, 937, 10857, 24147, 267, 4994, 910, 630, 13232, 1341, 1293, 11723, 258, 16797, 572, 937, 547, 1265, 737, 628, 1297, 454, 333, 4548, 815, 1496, 272, 267, 476, 273, 267, 476, 276, 267, 476, 277, 267, 476, 279, 267, 476, 280, 2639, 628, 2273, 20311, 815, 2656, 572, 937, 25225, 267, 476, 273, 994, 2745, 2891, 628, 2273, 1297, 568, 14307, 3791, 20311, 267, 834, 540, 14307, 15358, 2020, 333, 4548, 273, 815, 1496, 280, 267, 476, 280, 267, 476, 279, 267, 476, 278, 267, 476, 277, 267, 476, 280, 267, 476, 272, 2639, 27917, 628, 20311, 815, 2656, 572, 937, 25225, 273, 267, 476, 274, 994, 2745, 2891, 27917, 628, 1297, 568, 14307, 8772, 20311, 267, 834, 540, 14307, 15358, 273, 267, 15044, 25225, 273, 4917, 0, 5035, 8827, 24998, 2187, 825, 1219, 9794, 290, 22511, 4311, 267, 7575, 2187, 1038, 5440, 815, 17121, 815, 476, 271, 454, 1038, 585, 1847, 538, 7575, 912, 2018, 952, 1847, 2652, 1412, 308, 12466, 3546, 5440, 23785, 272, 454, 2018, 8640, 1847, 2652, 1412, 291, 12466, 3546, 5440, 268, 284, 272, 454, 2018, 8640, 1847, 2652, 1412, 299, 12466, 3546, 17121, 23785, 272, 454, 2018, 8640, 1847, 2525, 262, 305, 12466, 3546, 17121, 268, 284, 272, 454, 1038, 2132, 5440, 2652, 476, 271, 543, 17121, 2652, 476, 271, 454, 320, 815, 8827, 4590, 2745, 5416, 269, 9080, 613, 290, 22511, 2891, 308, 308, 27363 ]

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

[ 581, 4847, 547, 1904, 13050, 267, 1775, 4318, 269, 711, 581, 454, 574, 680, 5896, 269, 901, 786, 635, 12393, 1082, 2009, 3498, 540, 5579, 5896, 16674, 31312, 267, 855, 621, 568, 938, 454, 9080, 8540, 602, 519, 5483, 9844, 568, 811, 1271, 982, 519, 4028, 17293, 540, 5579, 5896, 454, 27184, 2839, 15498, 2861, 3156, 585, 594, 26031, 616, 1869, 538, 741, 26638, 269, 4014, 3067, 4328, 741, 454, 9418, 2640, 1869, 2115, 538, 1922, 1752, 4152, 267, 972, 616, 930, 23053, 540, 2804, 543, 1514, 454, 13607, 1113, 269, 2201, 519, 824, 1688, 267, 2221, 779, 5010, 16674, 2839, 18032, 798, 711, 2709, 6190, 1489, 454, 1721, 3354, 540, 1239, 543, 4027, 540, 7834, 269, 901, 267, 1927, 609, 4145, 827, 1072, 543, 454, 25677, 2152, 267, 568, 513, 1713, 21677, 585, 2417, 17293, 269, 11048, 267, 6639, 454, 704, 18504, 543, 3593, 10343, 949, 1689, 538, 519, 2104, 543, 513, 2647, 946, 540, 16674, 2839, 18032, 585, 454, 296, 26031, 538, 513, 1297, 540, 3156, 568, 2009, 269, 3962, 540, 891, 3156, 786, 723, 547, 581, 24565, 454, 3249, 2685, 585, 922, 3790, 543, 2640, 547, 2486, 543, 2043, 563, 763, 4589, 1131, 899, 547, 9684, 7379, 4811, 5234, 594, 334, 2335, 529, 7395, 6062, 4592, 585, 1010, 1082, 5363, 8292, 543, 454, 24175, 2248, 687, 543, 4793, 878, 807, 10787, 17243, 585, 1200, 948, 609, 7041, 540, 519, 12377, 563, 1607, 960, 814, 1044, 2944, 1369, 9167, 1382, 1788, 674, 2839, 3041, 630, 31306, 540, 9517, 550, 640, 538, 519, 6176, 454, 268, 476, 1321, 20620, 2817, 4659, 540, 11621, 543, 5303, 630, 301, 8780, 264, 772, 2529, 269, 4972, 540, 25642, 630, 1960, 276, 264, 1323, 454, 7072, 547, 8950, 8232, 281, 634, 715, 8780, 18361, 269, 7981, 22910, 476, 8517, 268, 1321, 267, 5239, 476, 1960, 276, 563, 590, 269, 17713, 3832, 267, 808, 269, 26450, 328, 543, 595, 269, 670, 732, 630, 1220, 275, 264, 24722, 630, 3041, 290, 264, 273, 10378, 6651, 547, 519, 595, 3041, 9915, 10378, 11929, 269, 30080, 8538, 778, 454, 590, 269, 12275, 325, 1074, 601, 543, 645, 269, 25347, 6199, 968, 27184, 2839, 281, 10241, 267, 8232, 267, 543, 21041, 6100, 5410, 2581, 8862, 525, 2917, 454, 32153, 267, 5147, 476, 1220, 276, 563, 594, 269, 7395, 6062, 4592, 267, 623, 269, 15585, 614, 543, 631, 269, 8709, 700, 625, 327, 719, 630, 539, 6002, 264, 16674, 2839, 16370, 281, 24021, 12983, 2676, 29936, 543, 8889, 18169, 269, 661, 7838, 7379, 4811, 1867, 267, 476, 25375, 3583, 13673, 267, 1530, 341, 8759, 476, 1220, 278, 267, 2139, 693, 912, 594, 269, 645, 846, 543, 681, 269, 6022, 968, 8505, 334, 268, 2839, 281, 5883, 4376, 267, 9170, 267, 20471, 538, 519, 3761, 5832, 7536, 15973, 10716, 540, 519, 8028, 300, 267, 5292, 269, 476, 4366, 267, 1100, 269, 476, 279, 267, 4864, 476, 1220, 276, 267, 6032, 269, 476, 1911, 268, 11793, 563, 645, 269, 715, 987, 267, 674, 269, 32083, 543, 681, 269, 21763, 968, 27184, 2839, 5303, 543, 10241, 1848, 623, 969, 5297, 7384, 2676, 20464, 5336, 1105, 476, 1220, 277, 267, 5292, 269, 476, 276, 267, 3143, 269, 476, 272, 454, 808, 10611, 269, 8055, 267, 1696, 620, 269, 968, 27184, 2839, 2861, 2553, 585, 1480, 268, 13808, 7020, 892, 18058, 540, 519, 454, 3722, 300, 267, 5292, 269, 476, 4366, 267, 1100, 269, 476, 280, 267, 5181, 476, 1220, 276, 630, 22492, 3390, 593, 16674, 2839, 1070, 6032, 269, 476, 4375, 910, 476, 4510, 454, 7638, 328, 8469, 3896, 281, 5291, 2517, 4178, 269, 591, 574, 539, 16769, 2593, 454, 623, 269, 15585, 614, 589, 17563, 585, 30487, 16674, 2839, 3590, 8232, 543, 21041, 24093, 269, 20959, 623, 969, 5297, 454, 4467, 1584, 532, 267, 5292, 269, 476, 278, 267, 1100, 269, 476, 273, 267, 4989, 11219, 2317, 476, 1220, 279, 267, 6032, 269, 476, 3583, 268, 6507, 563, 808, 269, 670, 15401, 6390, 267, 1696, 620, 269, 968, 763, 8232, 20480, 540, 7638, 328, 290, 1222, 1849, 11238, 1848, 2494, 11245, 538, 19169, 2676, 18550, 476, 1220, 277, 269, 12232, 693, 912, 3864, 6828, 593, 15979, 968, 20685, 673, 3344, 540, 23559, 18032, 538, 519, 1480, 1560, 1848, 32722, 540, 519, 454, 28158, 6828, 593, 15979, 538, 3163, 543, 1715, 16370, 547, 519, 3864, 8189, 267, 476, 1220, 276, 563, 305, 1952, 677, 324, 2720, 281, 590, 269, 14339, 7974, 543, 681, 269, 7167, 584, 549, 563, 645, 269, 667, 2532, 8403, 267, 594, 269, 7395, 6062, 4592, 968, 291, 272, 326, 1388, 17197, 271, 1845, 1107, 27870, 519, 20038, 540, 1857, 543, 4357, 2230, 538, 454, 320, 3059, 543, 19264, 1304, 11106, 1604, 5608, 661, 7838, 476, 25375, 4792, 2894, 267, 7379, 4811, 267, 3864, 8189, 454, 968, 12218, 4083, 7981, 6513, 338, 30334, 11657, 281, 1955, 8690, 762, 15571, 325, 15968, 3690, 335, 16093, 3590, 454, 1721, 21111, 22384, 543, 2657, 6176, 1848, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 2676, 15933, 543, 10684, 10029, 267, 4741, 585, 20905, 543, 7101, 8344, 2657, 267, 5412, 476, 1015, 267, 476, 1220, 275, 2676, 570, 269, 10197, 534, 968, 290, 1222, 1955, 17852, 700, 1441, 547, 10960, 570, 636, 832, 6100, 23105, 4964, 267, 476, 279, 5181, 476, 1220, 278, 454, 654, 269, 654, 755, 28086, 968, 19931, 595, 32555, 8328, 640, 10495, 540, 32719, 550, 1955, 8690, 762, 6481, 20905, 912, 27832, 976, 689, 476, 2568, 1296, 540, 3194, 24951, 14339, 757, 609, 4033, 15661, 6100, 476, 2767, 5181, 476, 1220, 278, 2676, 19989, 693, 281, 5291, 2517, 4178, 269, 591, 747, 760, 14585, 335, 2593, 11721, 3796, 24250, 617, 550, 306, 541, 1260, 10402, 8412, 6021, 273, 3199, 278, 310, 755, 28086, 15005, 454, 595, 269, 3131, 6545, 5894, 267, 681, 269, 654, 13083, 4317, 10343, 540, 16674, 2839, 607, 513, 1979, 6248, 3354, 1505, 269, 20959, 5303, 454, 663, 5980, 18225, 267, 5292, 269, 476, 1839, 267, 3143, 269, 476, 274, 267, 6032, 269, 476, 4097, 1107, 476, 5655, 267, 476, 1220, 277, 563, 968, 3412, 8690, 762, 932, 2354, 5192, 7201, 16164, 540, 8232, 20226, 6100, 12232, 693, 912, 968, 4785, 1895, 18032, 5907, 16776, 538, 4600, 892, 11038, 8648, 267, 476, 1321, 5988, 476, 1220, 277, 2139, 693, 454, 968, 5591, 932, 760, 538, 14022, 267, 3143, 1744, 582, 689, 25511, 6100, 654, 1600, 23105, 4964, 2073, 476, 1691, 4989, 476, 1220, 275, 2073, 2139, 693, 454, 594, 4306, 8980, 18614, 9835, 2591, 543, 966, 2888, 585, 519, 1344, 2486, 4066, 568, 2139, 693, 454, 808, 269, 13573, 834, 22416, 904, 807, 1286, 555, 773, 1407, 21102, 9416, 2580, 18917, 5240, 267, 476, 4029, 4728, 476, 1220, 276, 267, 2139, 693, 912, 1548, 4523, 950, 513, 812, 568, 24673, 609, 513, 2780, 286, 2311, 24910, 2782, 19213, 781, 2546, 2676, 589, 269, 3400, 2378, 14259, 968, 27184, 2839, 1677, 903, 892, 25067, 267, 476, 1220, 277, 563, 589, 269, 3057, 10767, 3455, 267, 1696, 620, 269, 968, 3412, 8690, 762, 16674, 2839, 585, 634, 2657, 12752, 892, 4873, 476, 1220, 276, 269, 12232, 693, 912, 1912, 269, 26689, 1276, 328, 267, 623, 6993, 269, 654, 4526, 267, 631, 269, 26290, 3122, 267, 717, 269, 24162, 10458, 543, 700, 269, 670, 14923, 7736, 6361, 3734, 5222, 540, 24245, 454, 28669, 532, 269, 20959, 5303, 543, 5980, 18225, 267, 5292, 269, 476, 2190, 267, 3143, 269, 476, 272, 267, 6032, 269, 476, 3393, 268, 7871, 267, 476, 1220, 276, 454, 268, 476, 1724, 20620, 30267, 4979, 666, 581, 9833, 607, 513, 8772, 7121, 540, 594, 26031, 1505, 267, 1141, 519, 3755, 616, 4857, 543, 454, 2246, 5782, 5344, 607, 10362, 547, 513, 1895, 609, 1808, 4162, 563, 292, 3052, 269, 1210, 10957, 2275, 571, 9535, 3301, 267, 899, 700, 271, 874, 339, 28755, 1188, 563, 292, 3052, 269, 1210, 540, 3301, 630, 338, 333, 858, 619, 264, 547, 6895, 21168, 610, 5911, 339, 6260, 7658, 23890, 6402, 547, 1224, 454, 10520, 4784, 1239, 4586, 292, 3052, 269, 13587, 1516, 3755, 610, 16984, 693, 519, 3077, 3135, 2073, 1210, 2553, 547, 13861, 873, 267, 1419, 454, 23719, 14139, 1022, 2930, 2780, 1983, 543, 1702, 563, 763, 7638, 328, 290, 1222, 814, 1044, 2966, 547, 7500, 693, 513, 3845, 540, 827, 476, 1015, 9492, 609, 513, 1688, 18988, 5467, 543, 476, 2004, 9492, 454, 5976, 513, 7450, 5467, 855, 3112, 7500, 693, 1804, 9883, 269, 3244, 2827, 630, 5408, 552, 3052, 269, 2098, 269, 918, 325, 597, 543, 589, 269, 26741, 454, 2108, 303, 10107, 5691, 22836, 1210, 20794, 6285, 593, 3346, 1652, 5100, 15258, 1949, 1848, 264, 543, 4052, 6901, 454, 263, 5408, 717, 269, 670, 4545, 651, 9232, 288, 19750, 4039, 599, 31105, 593, 18869, 476, 13893, 6246, 1160, 343, 14383, 21998, 1848, 264, 1397, 602, 513, 3044, 3845, 454, 4754, 581, 2799, 1896, 2053, 630, 1575, 547, 476, 271, 269, 276, 332, 585, 3044, 18869, 476, 13893, 6246, 1070, 855, 609, 2417, 2333, 519, 5365, 454, 4134, 1952, 8986, 538, 519, 6846, 540, 1604, 269, 769, 519, 9277, 2013, 602, 513, 2542, 1131, 581, 2009, 693, 3677, 454, 23251, 1734, 267, 972, 616, 4066, 538, 1747, 7303, 713, 269, 2290, 4781, 1996, 20794, 4323, 1223, 581, 513, 454, 323, 2700, 3808, 532, 7014, 267, 799, 10416, 3800, 519, 3210, 942, 540, 519, 16674, 2839, 5467, 7662, 630, 5408, 454, 324, 3052, 269, 717, 10422, 269, 670, 4545, 651, 267, 631, 14371, 269, 918, 7795, 333, 834, 2304, 16674, 2839, 20028, 645, 15929, 16257, 257, 1916, 5591, 3593, 2962, 949, 849, 581, 2808, 607, 19319, 538, 2474, 540, 7834, 267, 607, 519, 3593, 949, 1256, 711, 581, 454, 10277, 540, 1373, 4857, 563, 1015, 4699, 2039, 540, 7638, 328, 290, 1222, 15498, 10039, 547, 1688, 5467, 269, 589, 5010, 5467, 6818, 630, 19723, 328, 290, 1222, 5800, 531, 454, 5649, 518, 1070, 2111, 547, 11571, 1344, 689, 16674, 2839, 15498, 540, 513, 1268, 8429, 998, 519, 7450, 563, 10214, 538, 713, 2013, 267, 25935, 519, 13863, 689, 519, 15298, 949, 2611, 4443, 585, 930, 31487, 267, 607, 28295, 454, 527, 568, 2864, 513, 7294, 5650, 267, 8506, 2027, 2213, 3937, 543, 1702, 563, 2005, 666, 581, 11130, 602, 930, 1979, 6248, 338, 616, 849, 7925, 547, 796, 10461, 2213, 25718, 630, 324, 3052, 269, 9416, 21646, 454, 19817, 625, 666, 581, 5833, 689, 513, 4837, 267, 2027, 8254, 666, 1491, 1164, 22822, 32640, 2592, 1256, 689, 1896, 454, 332, 4394, 1070, 855, 2348, 513, 5299, 540, 1979, 6248, 338, 2356, 1281, 711, 3411, 823, 585, 513, 556, 2452, 4323, 269, 8232, 540, 519, 2413, 454, 6798, 6248, 1949, 568, 711, 1759, 593, 519, 1979, 6248, 1239, 4805, 267, 855, 12346, 849, 593, 513, 968, 331, 4369, 1449, 5608, 3622, 454, 15759, 3603, 538, 519, 9300, 851, 563, 1103, 519, 2013, 540, 4550, 7308, 1111, 4027, 267, 519, 1981, 540, 28170, 633, 4323, 1058, 581, 3144, 883, 7156, 269, 2368, 454, 2181, 26606, 1286, 9755, 941, 7142, 547, 11291, 689, 519, 2344, 513, 9416, 1820, 6284, 1062, 547, 1930, 454, 663, 1376, 513, 1286, 267, 1310, 606, 3801, 21102, 519, 1286, 540, 513, 14570, 1014, 1870, 812, 269, 1306, 519, 555, 773, 1407, 941, 8572, 547, 454, 11034, 519, 2599, 543, 5397, 2476, 267, 789, 2759, 519, 8227, 781, 9416, 547, 9101, 609, 519, 1286, 4586, 11321, 10767, 3455, 693, 620, 269, 476, 2062, 5408, 602, 538, 519, 1985, 476, 1428, 1296, 972, 786, 581, 1063, 476, 272, 269, 271, 543, 476, 272, 269, 275, 2929, 454, 19723, 328, 8469, 3755, 1158, 17253, 269, 10251, 267, 519, 4589, 798, 711, 1489, 741, 10054, 609, 513, 4396, 454, 534, 4519, 267, 4849, 689, 513, 30940, 21658, 547, 4620, 11090, 3101, 563, 2690, 1383, 267, 538, 519, 2013, 540, 3653, 2359, 1184, 267, 13390, 1081, 776, 3800, 723, 1044, 3144, 538, 519, 454, 845, 540, 10357, 17393, 793, 543, 2556, 1184, 12381, 1547, 0, 17780, 593, 5767, 5515, 689, 519, 13028, 7849, 17316, 637, 19541, 630, 291, 22143, 296, 1070, 1158, 2067, 6775, 2504, 538, 476, 1708, 273, 568, 6059, 693, 476, 3953, 269, 277, 2929, 9748, 267, 1524, 476, 272, 269, 272, 2929, 9748, 689, 519, 7447, 476, 272, 3923, 3516, 269, 13870, 6603, 476, 3451, 269, 274, 2929, 9748, 538, 476, 1708, 272, 543, 476, 4029, 269, 277, 2929, 538, 476, 1708, 271, 563, 288, 10980, 538, 7147, 1141, 936, 3368, 540, 10412, 3812, 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 ]

[ 513, 14461, 1560, 269, 4658, 723, 7916, 267, 7953, 267, 543, 513, 22765, 269, 901, 568, 513, 7299, 21658, 540, 519, 834, 6420, 532, 3032, 1966, 2668, 2368, 4760, 4930, 827, 713, 1966, 281, 5291, 2517, 338, 3273, 541, 269, 2998, 4355, 2593, 4882, 3273, 541, 286, 336, 284, 6420, 532, 266, 13906, 266, 2889, 12378, 780, 2372, 1774, 676, 715, 553, 1417, 23682, 4723, 1261, 949, 581, 2111, 547, 2490, 1010, 2212, 693, 606, 5086, 543, 1163, 601, 2011, 3196, 2685, 547, 16578, 513, 15191, 1790, 1886, 8215, 10047, 269, 2107, 646, 1223, 8900, 1010, 15485, 8126, 1113, 569, 4429, 1607, 780, 2372, 1774, 676, 8065, 810, 325, 296, 11803, 769, 1931, 547, 834, 4944, 514, 538, 2011, 257, 519, 1268, 1131, 723, 547, 723, 547, 723, 4294, 513, 27414, 3196, 1354, 17259, 269, 1656, 646, 1223, 711, 798, 602, 593, 513, 11508, 1652, 1641, 563, 296, 1589, 646, 666, 269, 2334, 781, 875, 9991, 7314, 960, 267, 594, 15475, 780, 31171, 2433, 7937, 267, 667, 295, 3773, 606, 2376, 1932, 10756, 22895, 528, 6271, 1383, 267, 799, 594, 4312, 2944, 1082, 2053, 607, 513, 4928, 17431, 281, 23063, 593, 513, 11508, 1652, 15914, 22454, 1247, 8066, 513, 17919, 8868, 23276, 269, 18421, 568, 2332, 958, 19335, 269, 2060, 835, 1688, 267, 1376, 519, 8868, 15914, 29628, 269, 1411, 543, 519, 22454, 1376, 547, 17967, 4831, 22018, 3772, 538, 1931, 547, 18359, 2698, 16070, 11610, 269, 1879, 596, 4312, 29352, 476, 5197, 5232, 267, 3247, 519, 18343, 8868, 269, 1411, 3247, 1932, 267, 538, 707, 1007, 10066, 269, 898, 3085, 1405, 1256, 723, 547, 581, 513, 8868, 269, 1411, 666, 3180, 606, 1843, 538, 707, 3946, 267, 856, 538, 4395, 540, 596, 267, 543, 1847, 621, 1472, 538, 513, 8880, 29628, 9764, 5163, 269, 23893, 1267, 780, 300, 550, 528, 454, 2372, 1774, 676, 5606, 8181, 636, 594, 1589, 646, 666, 269, 2334, 781, 875, 9991, 7314, 960, 267, 594, 15475, 269, 22478, 2433, 7937, 267, 667, 295, 3773, 606, 2376, 1932, 10756, 4517, 1934, 781, 513, 8642, 1384, 1607, 3239, 568, 689, 13138, 918, 2033, 781, 543, 12463, 2480, 615, 781, 25761, 1957, 593, 519, 1641, 267, 589, 3846, 673, 7778, 540, 519, 9991, 3032, 7613, 269, 7338, 681, 269, 918, 2033, 568, 1100, 1793, 13224, 269, 5530, 17562, 543, 596, 786, 23366, 1451, 827, 918, 6951, 262, 6384, 4834, 269, 1261, 568, 538, 513, 2631, 519, 4651, 540, 2413, 17562, 780, 2372, 1774, 676, 667, 670, 1656, 1934, 781, 513, 8642, 281, 901, 3239, 568, 689, 13138, 918, 2033, 781, 543, 12463, 2480, 615, 781, 25761, 1957, 593, 519, 1641, 267, 589, 3846, 673, 7778, 540, 519, 9991, 3032, 7613, 269, 7338, 681, 269, 918, 2033, 568, 1100, 1793, 13224, 269, 5530, 17562, 543, 596, 786, 23366, 1451, 827, 918, 6951, 262, 6384, 4834, 269, 1261, 568, 538, 513, 2631, 519, 4651, 540, 2413, 17562, 563, 1607, 568, 918, 2033, 781, 1079, 1790, 11301, 2275, 520, 2203, 19347, 1384, 288, 1480, 7555, 593, 11508, 1652, 2627, 1223, 2119, 519, 1482, 630, 21353, 1227, 513, 554, 3121, 11876, 641, 18711, 1070, 855, 1131, 4440, 2887, 936, 269, 4210, 15781, 7916, 4667, 1732, 1934, 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 ]

[ 4660, 267, 610, 602, 519, 9715, 1870, 1770, 3884, 1406, 10451, 519, 2186, 540, 19614, 3025, 4397, 269, 6764, 8529, 3854, 7221, 602, 616, 7329, 548, 1058, 581, 31889, 267, 7488, 540, 2436, 519, 15717, 568, 2808, 8628, 610, 10151, 269, 12763, 519, 15717, 2530, 676, 12719, 519, 3017, 1063, 519, 1433, 1871, 543, 519, 2344, 1871, 540, 519, 10697, 269, 6355, 7221, 602, 723, 11124, 513, 2530, 538, 1871, 616, 1641, 547, 15717, 4152, 547, 2268, 543, 5431, 519, 2179, 540, 519, 2530, 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 ]

[ 314, 13707, 314, 6875, 314, 2993, 267, 2715, 258, 267, 1948, 2372, 582, 1304, 25208, 267, 476, 273, 3910, 1948, 348, 316, 1299, 1315, 287, 2715, 272, 267, 910, 272, 348, 3910, 737, 273, 267, 1449, 314, 314, 330, 273, 14963, 14963, 476, 910, 3046, 20529, 256, 1341, 272, 1498, 1107, 513, 743, 4924, 476, 276, 1412, 1321, 693, 476, 271, 281, 6187, 7711, 659, 331, 952, 621, 513, 514, 1405, 3046, 20529, 267, 1810, 1405, 4368, 621, 256, 630, 296, 865, 10355, 1205, 547, 946, 602, 5309, 267, 543, 594, 9364, 23294, 1125, 585, 621, 267, 952, 594, 5433, 1022, 1121, 16017, 31049, 4700, 1107, 678, 3712, 569, 518, 4924, 476, 276, 1412, 1321, 693, 476, 274, 281, 1626, 3371, 781, 606, 1935, 1210, 513, 16887, 9112, 630, 338, 27785, 264, 5119, 281, 1623, 332, 11764, 314, 4289, 318, 316, 28701, 2060, 314, 346, 333, 815, 20099, 314, 4289, 316, 9574, 6875, 314, 590, 27785, 26161, 314, 2715, 289, 663, 314, 346, 272, 267, 476, 272, 348, 316, 9847, 476, 272, 267, 17020, 314, 346, 272, 267, 910, 272, 9574, 4201, 11703, 267, 2715, 272, 267, 910, 272, 348, 316, 9847, 476, 272, 9574, 2715, 333, 267, 562, 348, 476, 4940, 4289, 267, 9919, 4979, 19559, 270, 273, 316, 9948, 9948, 476, 4530, 2665, 281, 1623, 332, 11764, 314, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 267, 535, 348, 316, 30916, 2652, 285, 2715, 320, 1341, 535, 267, 536, 1341, 552, 267, 524, 1341, 546, 348, 2608, 264, 1623, 332, 11764, 314, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 348, 316, 30916, 2652, 285, 2715, 320, 1341, 552, 267, 536, 1341, 546, 267, 524, 348, 2608, 264, 476, 910, 1548, 781, 4636, 609, 20099, 286, 898, 781, 513, 1360, 3608, 1599, 547, 1289, 1529, 622, 630, 26238, 8638, 616, 10321, 24323, 267, 1775, 4318, 269, 14249, 540, 6378, 2450, 267, 4171, 3259, 568, 10502, 1634, 547, 519, 1982, 693, 782, 2053, 1040, 1623, 11764, 815, 21602, 314, 346, 14310, 267, 3259, 815, 20099, 28784, 316, 9574, 1267, 815, 630, 258, 1341, 681, 27654, 287, 258, 264, 20886, 272, 6902, 282, 9919, 4979, 314, 26319, 270, 273, 14963, 22049, 1403, 314, 302, 9536, 304, 314, 26319, 3910, 1267, 314, 15631, 272, 14963, 1315, 284, 476, 273, 22049, 1267, 9948, 1299, 282, 1623, 11764, 287, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 267, 535, 348, 1623, 11764, 287, 346, 320, 267, 536, 267, 524, 267, 546, 267, 552, 348, 476, 2715, 320, 1341, 535, 267, 536, 1341, 552, 267, 524, 1341, 546, 348, 2715, 320, 1341, 552, 267, 536, 1341, 546, 267, 524, 348, 476, 910, 23875, 4636, 267, 1175, 513, 6999, 585, 19870, 32473, 264, 1107, 535, 1446, 747, 1731, 4924, 476, 276, 1412, 1321, 693, 476, 278, 281, 3374, 901, 568, 513, 2241, 1498, 10169, 3653, 995, 3070, 281, 1623, 332, 11764, 314, 331, 318, 8266, 316, 28701, 6875, 314, 331, 1341, 681, 27654, 314, 331, 3910, 9919, 4979, 314, 21920, 314, 331, 316, 270, 273, 14963, 476, 898, 786, 2285, 596, 519, 1647, 3693, 7466, 267, 711, 2899, 269, 1772, 621, 1271, 602, 596, 1152, 1205, 524, 630, 663, 711, 476, 273, 322, 264, 950, 7311, 713, 1599, 547, 2715, 320, 14720, 22698, 28504, 267, 324, 348, 286, 2334, 781, 2653, 547, 798, 630, 28300, 532, 7384, 2609, 7466, 568, 849, 2653, 1070, 855, 786, 1118, 519, 1599, 5594, 3476, 269, 1452, 3435, 782, 946, 20099, 1498, 269, 3371, 781, 513, 4806, 2861, 3070, 799, 30417, 20099, 281, 12055, 314, 346, 14310, 13090, 9574, 2715, 338, 318, 267, 4571, 13090, 267, 552, 318, 348, 316, 28701, 12055, 314, 346, 14310, 267, 552, 1341, 521, 9574, 2715, 13232, 348, 316, 12055, 314, 346, 14310, 13090, 9574, 15079, 316, 28701, 2715, 14310, 348, 12055, 314, 346, 14310, 13090, 9574, 2715, 13232, 318, 348, 316, 28701, 2715, 14310, 267, 4571, 348, 1623, 332, 11764, 314, 331, 318, 8266, 316, 28701, 12055, 314, 346, 9574, 561, 316, 476, 1411, 949, 1616, 547, 12189, 713, 607, 1623, 332, 11764, 314, 331, 318, 8266, 316, 28701, 13332, 314, 346, 259, 296, 614, 566, 21918, 527, 815, 5606, 6541, 9574, 12055, 314, 346, 9574, 561, 316, 6540, 454, 1729, 1118, 621, 960, 585, 11737, 337, 3320, 1279, 8638, 780, 8894, 266, 272, 585, 12055, 319, 6902, 8799, 256, 1107, 1109, 16031, 15030, 19123, 4924, 476, 275, 1412, 1321, 693, 476, 2641, 281, 4343, 0, 258, 7787, 1297, 1362, 692, 289, 21186, 928, 853, 709, 11584, 335, 968, 25284, 2719, 14362, 543, 6657, 4635, 595, 10030, 7536, 6637, 476, 280, 11644, 476, 1724, 454, 8794, 1109, 560, 323, 9078, 756, 6958, 659, 1988, 19544, 1109, 2421, 645, 21186, 928, 853, 709, 11584, 335, 780, 3499, 2260, 453, 24589, 2089, 590, 1221, 2401, 454, 2260, 453, 289, 21186, 928, 853, 709, 11584, 335, 781, 623, 13048, 454, 2260, 453, 6637, 476, 280, 11644, 476, 1724, 692, 258, 514, 2850, 834, 560, 323, 9078, 756, 6958, 659, 1988, 19544, 5016, 2260, 22772, 6574, 1455, 14009, 454, 842, 1265, 14682, 7251, 17301, 513, 267, 703, 536, 994, 19127, 6112, 630, 321, 11203, 476, 271, 264, 13634, 842, 10917, 815, 536, 3248, 321, 815, 513, 4939, 536, 3248, 320, 815, 10917, 3248, 322, 719, 24177, 834, 320, 815, 834, 24177, 513, 24177, 1439, 331, 3248, 322, 719, 24177, 834, 321, 815, 834, 24177, 536, 24177, 1439, 331, 3248, 8679, 322, 719, 24177, 834, 325, 1400, 513, 815, 834, 24177, 513, 24177, 1439, 331, 3248, 8873, 513, 3248, 10926, 5035, 21929, 13634, 1440, 10675, 912, 842, 19362, 3248, 842, 14009, 3248, 29602, 3070, 16963, 21504, 912, 305, 1049, 3890, 3248, 305, 1049, 17301, 267, 703, 32007, 842, 1205, 5332, 10179, 1807, 3890, 2715, 2132, 19362, 282, 7684, 454, 842, 1205, 5091, 523, 7631, 1807, 3890, 476, 2715, 2132, 14009, 282, 7684, 454, 29602, 1205, 5334, 1828, 3890, 2715, 2132, 3070, 282, 7684, 692, 341, 1355, 1820, 5334, 1828, 3890, 2715, 524, 719, 24177, 3070, 24177, 1439, 331, 282, 7684, 692, 341, 1355, 3339, 1047, 3890, 3248, 341, 1355, 6460, 15461, 5091, 19302, 3890, 16963, 341, 1355, 11346, 14352, 305, 1049, 678, 272, 11850, 348, 16963, 305, 1049, 15311, 305, 1049, 3890, 13634, 333, 10179, 1807, 815, 476, 272, 3248, 6577, 7631, 1807, 815, 476, 272, 3248, 10926, 305, 1049, 15311, 305, 1049, 17301, 513, 267, 703, 536, 264, 13634, 333, 10179, 1807, 815, 513, 3248, 6577, 7631, 1807, 815, 536, 3248, 10926, 341, 1355, 21929, 15311, 7538, 1047, 3890, 13634, 604, 630, 6577, 7631, 1807, 2652, 476, 271, 264, 5470, 2891, 6577, 7631, 1807, 568, 4642, 8442, 3248, 604, 630, 6577, 7631, 1807, 2999, 476, 271, 264, 2715, 14009, 815, 910, 6577, 7631, 1807, 282, 19362, 815, 910, 333, 10179, 1807, 282, 7684, 454, 842, 562, 815, 1265, 14682, 7251, 3799, 10179, 1807, 267, 14009, 11850, 604, 630, 333, 3436, 476, 272, 264, 2715, 19362, 1315, 284, 562, 282, 14009, 1315, 284, 562, 282, 7684, 454, 10926, 341, 1355, 21929, 15311, 935, 3200, 15461, 5091, 19302, 3890, 13634, 338, 1828, 815, 5595, 3799, 10179, 1807, 264, 1315, 5595, 5560, 523, 7631, 1807, 11850, 10926, 341, 1355, 21929, 15311, 28072, 14352, 305, 1049, 678, 272, 264, 13634, 333, 10179, 1807, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 3248, 6577, 7631, 1807, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 3248, 10926, 305, 1049, 11346, 23444, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 1341, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 1341, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 14720, 11850, 8873, 678, 3248, 10926, 305, 1049, 11346, 24179, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 910, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 910, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 267, 536, 11850, 8873, 678, 3248, 10926, 305, 1049, 11346, 16732, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 2608, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 2608, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 267, 536, 11850, 8873, 678, 3248, 10926, 305, 1049, 11346, 14370, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 842, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 1315, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 842, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 1315, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 305, 1049, 678, 5416, 267, 536, 11850, 8873, 678, 3248, 10926, 321, 944, 11346, 2525, 263, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 321, 944, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 2652, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 321, 944, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 2652, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 604, 630, 320, 30974, 536, 264, 13634, 8873, 3020, 3248, 8679, 12828, 13634, 8873, 7301, 3248, 8679, 10926, 321, 944, 11346, 256, 14352, 305, 1049, 678, 272, 267, 21929, 678, 273, 264, 13634, 321, 944, 513, 815, 678, 272, 10947, 5332, 10179, 1807, 3890, 11203, 678, 273, 10947, 5332, 10179, 1807, 3890, 3248, 321, 944, 536, 815, 678, 272, 10947, 5091, 523, 7631, 1807, 3890, 11203, 678, 273, 10947, 5091, 523, 7631, 1807, 3890, 3248, 604, 630, 320, 30974, 536, 264, 13634, 8873, 3020, 3248, 8679, 12828, 13634, 8873, 7301, 3248, 8679, 10926, 842, 1292, 4590, 339, 787, 454, 19127, 305, 1049, 1250, 305, 1049, 263, 1789, 267, 476, 2537, 11850, 305, 1049, 1250, 305, 1049, 272, 263, 2641, 267, 275, 32007, 3240, 305, 1049, 815, 1250, 305, 1049, 1341, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 910, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 2608, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 1315, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 3240, 305, 1049, 815, 1250, 305, 1049, 272, 3248, 3240, 305, 1049, 26769, 3200, 15461, 5091, 19302, 3890, 3248, 3240, 305, 1049, 31428, 5334, 1828, 3890, 16963, 604, 630, 3240, 305, 1049, 272, 2652, 1250, 305, 1049, 264, 13634, 322, 719, 24177, 834, 16884, 2338, 616, 3160, 257, 24177, 1439, 331, 3248, 10926, 604, 630, 3240, 305, 1049, 272, 11203, 1250, 305, 1049, 264, 13634, 322, 719, 24177, 834, 16884, 2338, 616, 711, 3160, 257, 24177, 1439, 331, 3248, 10926, 18141, 318, 30720, 318, 13449, 3890, 3248, 8679, 322, 2255, 630, 745, 660, 830, 318, 19587, 552, 264, 13634, 322, 719, 24177, 552, 269, 6343, 3890, 24177, 1439, 331, 3248, 18141, 318, 30720, 318, 13449, 3890, 3248, 8679, 322, 2255, 630, 1862, 264, 13634, 322, 719, 24177, 834, 2750, 1746, 257, 24177, 1439, 331, 3248, 18141, 318, 30720, 318, 13449, 3890, 3248, 8679, 8199, 3499, 20479, 912, 272, 269, 31229, 8660, 454, 272, 269, 19054, 3374, 454, 277, 269, 279, 5325, 10695, 454, 272, 269, 19054, 3374, 454, 276, 269, 1839, 454, 16884, 2338, 616, 3160, 454, 8923, 4283, 513, 1915, 547, 14827, 454, 7884, 1607, 3135, 3096, 13019, 1143, 564, 547, 2569, 28417, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 0, 280, 856, 540, 476, 1015, 1759, 593, 476, 278, 6858, 16863, 269, 476, 274, 267, 23056, 3593, 8039, 780, 258, 13316, 27699, 6579, 11862, 29206, 303, 3918, 16249, 16998, 4338, 9391, 6730, 667, 25353, 692, 314, 14457, 2639, 306, 11799, 27699, 6579, 11862, 3955, 31147, 4578, 281, 28977, 454, 23054, 338, 946, 13063, 547, 1397, 1239, 269, 1677, 1224, 713, 3113, 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 ]

[ 519, 2634, 269, 1306, 513, 12343, 267, 519, 1184, 540, 8108, 8823, 267, 11093, 8823, 538, 519, 1318, 1747, 538, 519, 2634, 543, 11291, 532, 267, 616, 4299, 563, 4407, 6527, 543, 11257, 616, 930, 540, 519, 4122, 1904, 539, 585, 2757, 2409, 540, 8156, 17971, 267, 930, 23349, 543, 3860, 2081, 971, 607, 267, 2575, 3797, 267, 1148, 3797, 267, 1226, 710, 3797, 267, 3092, 1421, 723, 849, 8810, 547, 581, 3811, 538, 519, 2126, 540, 17971, 563, 24523, 12153, 3114, 5305, 454, 2005, 814, 1044, 1318, 569, 1767, 602, 2575, 865, 582, 1127, 835, 779, 9997, 543, 2247, 269, 1809, 267, 519, 2640, 540, 2575, 666, 849, 581, 2938, 538, 7067, 835, 779, 2790, 1072, 4713, 269, 23016, 547, 2575, 3091, 835, 513, 2631, 540, 3106, 543, 3354, 607, 1134, 607, 513, 2631, 540, 1852, 936, 835, 779, 1378, 10450, 267, 1560, 543, 2247, 269, 2755, 513, 1268, 7231, 609, 17971, 7959, 17212, 1386, 1310, 6947, 547, 2575, 267, 621, 666, 849, 948, 5818, 835, 779, 1582, 21873, 543, 7668, 1864, 17017, 609, 2318, 4555, 563, 24523, 2640, 606, 1367, 676, 7175, 519, 5305, 540, 6464, 538, 519, 1480, 2634, 269, 901, 2337, 16297, 835, 779, 1560, 543, 2247, 689, 519, 1928, 269, 8535, 7512, 2792, 1063, 519, 16794, 543, 1346, 2694, 540, 519, 2634, 602, 1852, 3965, 267, 7553, 543, 2168, 1852, 563, 4913, 267, 621, 568, 1271, 547, 3314, 602, 835, 1058, 581, 1360, 6297, 827, 519, 2186, 540, 2575, 646, 24172, 1592, 839, 547, 269, 1280, 3236, 267, 568, 5255, 3055, 18565, 267, 536, 2088, 1116, 20054, 267, 1395, 10394, 1116, 20054, 543, 8964, 609, 1970, 12334, 543, 11931, 20054, 666, 723, 513, 7067, 1198, 267, 6466, 8964, 602, 723, 2901, 9275, 610, 23475, 1913, 666, 2014, 4160, 563, 15987, 2575, 19310, 1080, 513, 1114, 3210, 538, 1142, 1268, 267, 2090, 723, 8810, 602, 513, 1978, 1826, 540, 2575, 568, 811, 6225, 585, 17971, 2550, 269, 769, 513, 2487, 1353, 267, 2635, 5171, 941, 6534, 547, 476, 276, 8792, 14242, 5712, 540, 23940, 267, 13672, 543, 18325, 10726, 12451, 269, 898, 729, 4767, 602, 4598, 547, 1395, 10394, 1116, 10726, 7886, 4389, 519, 2157, 540, 2566, 543, 4160, 563, 2467, 568, 4126, 454, 763, 2136, 2276, 14130, 814, 10294, 519, 3923, 540, 4873, 607, 519, 17971, 17607, 13600, 269, 901, 3923, 6663, 693, 10825, 4656, 827, 519, 2790, 1072, 4524, 543, 922, 2500, 5574, 269, 1924, 267, 713, 1032, 267, 1577, 779, 960, 1927, 543, 948, 1004, 917, 811, 827, 519, 2409, 547, 10826, 17971, 1519, 519, 23349, 3283, 563, 2252, 596, 917, 2576, 945, 568, 7231, 609, 17971, 610, 1022, 1106, 540, 2790, 4576, 267, 590, 30371, 793, 2657, 666, 948, 1864, 610, 1200, 1921, 609, 2790, 1072, 6703, 538, 4993, 269, 11910, 938, 476, 2190, 270, 278, 927, 680, 710, 1297, 476, 279, 5780, 268, 9032, 274, 268, 278, 1626, 275, 610, 10004, 2228, 609, 835, 540, 938, 13222, 547, 1205, 2347, 1344, 827, 938, 3102, 2790, 1072, 14317, 7740, 538, 4993, 543, 824, 2829, 540, 519, 772, 2529, 269, 0, 3519, 3667, 689, 1250, 9215, 9128, 299, 2542, 1433, 269, 1809, 519, 14868, 602, 723, 6738, 909, 1472, 519, 32537, 949, 3136, 607, 851, 540, 519, 1895, 779, 5711, 2245, 543, 949, 1256, 2097, 547, 581, 19500, 856, 896, 2175, 32682, 1027, 689, 891, 32537, 269, 1879, 713, 4386, 267, 519, 1101, 1900, 814, 1044, 3144, 4724, 14364, 607, 606, 14628, 2534, 267, 543, 27502, 9913, 543, 12716, 2418, 949, 7930, 5372, 519, 5449, 25386, 543, 13998, 3759, 20160, 4145, 269, 2878, 20594, 1262, 19743, 782, 269, 594, 4126, 596, 616, 782, 2348, 513, 1390, 1554, 594, 4312, 1175, 2097, 2066, 713, 851, 538, 1250, 9215, 9128, 299, 2542, 1433, 543, 2186, 540, 3893, 12758, 269, 1548, 1281, 519, 2278, 4010, 1611, 676, 1412, 1492, 1101, 1900, 814, 1044, 3144, 4724, 14364, 262, 543, 1412, 324, 1553, 20160, 286, 262, 6496, 621, 1611, 1945, 899, 1412, 821, 7140, 547, 14364, 950, 713, 4386, 286, 262, 4746, 267, 594, 6415, 3833, 3222, 540, 875, 713, 8468, 1568, 543, 6836, 547, 7747, 519, 4341, 281, 1413, 585, 8675, 1354, 596, 2022, 269, 1809, 267, 594, 6415, 1869, 4503, 593, 1412, 324, 1553, 20160, 262, 1256, 1310, 17874, 1896, 21594, 269, 898, 1175, 1281, 3833, 2458, 11229, 1134, 547, 2161, 1412, 25791, 569, 3759, 20160, 4145, 8339, 0, 5970, 596, 2479, 8068, 602, 707, 3032, 666, 3666, 593, 519, 555, 4883, 652, 540, 8728, 24672, 286, 11531, 267, 649, 3425, 6560, 547, 3251, 20005, 950, 519, 1016, 3118, 28478, 802, 721, 1472, 693, 19060, 5662, 269, 3371, 779, 513, 2370, 5813, 883, 741, 26804, 11419, 563, 763, 9059, 4523, 538, 519, 6418, 1274, 454, 9617, 899, 538, 1480, 7919, 267, 513, 3032, 779, 2631, 540, 3666, 2501, 689, 519, 6418, 1274, 269, 918, 8636, 839, 616, 2111, 547, 2697, 799, 1259, 568, 1524, 689, 4332, 269, 1717, 267, 2687, 547, 966, 564, 560, 22901, 267, 6539, 29181, 616, 2111, 547, 1318, 2933, 4571, 2011, 693, 2185, 547, 3670, 4374, 267, 543, 676, 4557, 547, 12964, 4374, 789, 616, 2111, 547, 1193, 583, 741, 8631, 2066, 513, 7522, 28506, 563, 6546, 779, 1317, 789, 723, 1279, 267, 8465, 19758, 543, 1100, 27897, 7633, 269, 4256, 32356, 849, 948, 873, 9787, 8371, 269, 1403, 789, 2887, 267, 7314, 1448, 741, 8188, 1524, 543, 519, 1964, 540, 741, 1560, 627, 2354, 1472, 2394, 782, 2185, 533, 9155, 616, 6849, 519, 2666, 563, 763, 2766, 8591, 513, 4831, 3666, 454, 28074, 899, 9395, 549, 701, 3802, 619, 3180, 513, 8880, 15393, 543, 27590, 6814, 8831, 741, 7916, 543, 7953, 547, 6952, 2933, 1354, 789, 2887, 1055, 540, 513, 3666, 11237, 267, 7314, 849, 9133, 741, 2766, 547, 2901, 2427, 538, 1931, 547, 3251, 593, 3950, 269, 634, 2766, 3884, 1406, 2838, 540, 782, 7314, 267, 2705, 267, 607, 1896, 27342, 339, 9229, 543, 28580, 650, 612, 14981, 616, 2111, 547, 3666, 2933, 1175, 5386, 563, 1432, 827, 7314, 602, 2887, 936, 888, 288, 2887, 1934, 543, 972, 949, 581, 804, 4548, 1465, 267, 855, 952, 707, 3032, 8813, 14578, 267, 972, 949, 581, 513, 2564, 2783, 547, 16620, 269, 2290, 971, 2783, 568, 26804, 6147, 10428, 541, 3834, 6955, 14901, 269, 19949, 609, 713, 4524, 616, 3006, 5219, 547, 607, 968, 342, 984, 29087, 6539, 2906, 892, 1317, 789, 723, 8373, 5329, 741, 3666, 267, 855, 616, 6382, 5827, 540, 2713, 1279, 267, 2635, 2729, 563, 293, 5202, 22514, 24212, 2068, 666, 1397, 909, 1510, 9963, 543, 4734, 519, 1482, 1259, 269, 898, 568, 606, 4576, 540, 519, 6418, 1274, 602, 568, 1419, 2053, 7329, 11340, 987, 545, 269, 12580, 1331, 2212, 21266, 1154, 267, 546, 691, 532, 3750, 5322, 267, 543, 13481, 269, 2659, 17022, 949, 1616, 547, 1685, 606, 18909, 267, 1535, 11920, 267, 610, 1973, 4255, 547, 4341, 856, 811, 3978, 10108, 971, 607, 14715, 4713, 267, 5563, 267, 610, 2860, 563, 290, 663, 864, 4432, 1047, 670, 3996, 568, 513, 4620, 1694, 614, 543, 5816, 3455, 693, 15576, 773, 779, 14173, 1399, 269, 2701, 568, 513, 10927, 540, 519, 631, 11902, 5675, 5358, 693, 4993, 5441, 540, 519, 8551, 563, 20124, 676, 744, 2742, 310, 593, 623, 1460, 629, 599, 269, 0, 1432, 568, 23093, 26511, 888, 288, 15264, 568, 513, 2923, 3758, 602, 568, 7856, 865, 602, 606, 5304, 666, 3362, 1569, 543, 4647, 519, 3758, 585, 15409, 946, 269, 623, 8991, 2177, 3201, 10396, 667, 4932, 13263, 256, 9521, 31076, 267, 27143, 616, 2139, 547, 596, 782, 519, 942, 269, 1411, 666, 24049, 547, 15264, 2982, 267, 14501, 610, 6119, 543, 4647, 873, 547, 707, 2780, 543, 5985, 3926, 971, 607, 19503, 617, 267, 930, 11436, 267, 3092, 269, 1775, 307, 17480, 568, 519, 1034, 2442, 15264, 13156, 3760, 269, 769, 824, 1913, 267, 15264, 532, 568, 513, 1505, 540, 3892, 563, 2690, 2870, 27143, 593, 5839, 543, 8837, 267, 2912, 13369, 568, 513, 1863, 8301, 10916, 543, 11049, 1982, 269, 1411, 666, 12575, 2789, 8301, 13475, 543, 1711, 513, 6422, 15264, 563, 2414, 1205, 513, 5299, 540, 519, 3301, 5225, 3643, 519, 10748, 13369, 3896, 281, 5291, 2517, 7596, 13369, 4732, 1830, 14492, 13045, 2414, 2070, 519, 5850, 267, 5225, 3643, 713, 2546, 281, 5291, 2517, 7596, 13369, 4732, 1830, 1721, 613, 14492, 270, 2006, 783, 268, 272, 269, 273, 14121, 583, 3645, 338, 11258, 454, 307, 583, 3645, 338, 270, 1692, 910, 2414, 8249, 454, 2690, 1344, 3823, 15264, 532, 689, 14151, 3557, 2160, 781, 1775, 307, 17480, 772, 2230, 267, 5225, 1246, 713, 3095, 6789, 308, 1775, 307, 17480, 772, 23093, 4751, 12754, 263, 10472, 786, 19334, 1775, 307, 17480, 1040, 1358, 723, 2653, 547, 1246, 1547, 23486, 6119, 630, 514, 519, 1106, 540, 13371, 17446, 264, 602, 2482, 856, 519, 9238, 540, 15264, 532, 689, 3384, 707, 1788, 1523, 267, 14045, 875, 547, 15814, 707, 2923, 3758, 267, 543, 849, 8800, 3435, 602, 596, 949, 1616, 547, 2015, 1759, 593, 519, 6422, 540, 707, 1788, 630, 328, 4318, 269, 5967, 532, 513, 1641, 267, 13830, 513, 11000, 543, 5304, 2055, 267, 6721, 513, 10916, 18638, 2511, 2504, 267, 3092, 4700, 0, 15031, 1466, 568, 519, 1379, 610, 4390, 547, 22036, 1510, 24255, 1945, 602, 568, 2352, 610, 10990, 762, 267, 17246, 30970, 543, 1279, 1606, 4428, 1359, 269, 4793, 1466, 568, 606, 1271, 1907, 538, 20408, 17140, 269, 4793, 1466, 2636, 721, 547, 7080, 754, 10385, 1279, 2614, 547, 1118, 5483, 3664, 267, 3976, 22338, 519, 2619, 547, 513, 6126, 543, 12560, 1272, 563, 2080, 616, 930, 2640, 540, 9639, 912, 268, 21111, 1004, 2972, 1732, 2790, 1072, 563, 268, 21111, 1004, 616, 1732, 2828, 543, 12543, 563, 268, 4793, 1466, 2337, 721, 3035, 938, 3853, 563, 268, 4793, 1466, 568, 5532, 547, 1434, 1072, 563, 2108, 9802, 2696, 267, 945, 3947, 713, 9639, 543, 19015, 267, 948, 596, 2661, 538, 2347, 454, 327, 1301, 3415, 609, 1142, 824, 607, 952, 17501, 585, 13794, 540, 2441, 4906, 1848, 630, 7931, 476, 1428, 281, 476, 276, 994, 2108, 6826, 4904, 609, 2648, 543, 9639, 2223, 630, 307, 7978, 476, 273, 281, 273, 3738, 968, 2041, 3461, 538, 8373, 2223, 630, 305, 558, 476, 1321, 281, 1321, 264, 968, 2041, 3461, 609, 3025, 2223, 630, 272, 634, 338, 476, 276, 281, 1691, 264, 968, 754, 675, 20655, 3461, 569, 2223, 630, 3725, 341, 476, 1691, 281, 1321, 264, 968, 1721, 2696, 31372, 3461, 569, 1247, 25424, 729, 2679, 1010, 10935, 892, 630, 272, 30821, 476, 274, 281, 736, 264, 968, 663, 865, 594, 31372, 3461, 569, 585, 519, 7083, 892, 630, 11679, 476, 2412, 281, 272, 1916, 13295, 609, 9639, 543, 16608, 267, 596, 786, 4688, 707, 1272, 269, 2142, 3461, 693, 782, 454, 9392, 269, 645, 1652, 902, 267, 2605, 269, 590, 996, 0, 288, 6112, 1394, 594, 1224, 827, 875, 16413, 616, 5051, 3843, 547, 1711, 3039, 5656, 676, 7311, 10357, 7888, 2418, 543, 1818, 946, 540, 4199, 18026, 4070, 2409, 543, 2326, 630, 29791, 1040, 2201, 2921, 513, 1413, 693, 930, 540, 519, 9241, 3710, 610, 22058, 730, 2048, 13582, 5656, 685, 594, 729, 16397, 711, 1152, 676, 519, 5656, 2318, 1198, 593, 519, 1604, 267, 855, 875, 4190, 789, 941, 267, 543, 875, 2067, 2609, 543, 2326, 1185, 1044, 5828, 883, 11265, 25704, 971, 607, 519, 835, 2630, 563, 1103, 1840, 547, 519, 8353, 24312, 24886, 11265, 1374, 540, 1082, 3039, 5656, 267, 972, 616, 849, 824, 3334, 602, 1118, 891, 3889, 13476, 7874, 269, 634, 1523, 540, 2679, 2048, 13582, 685, 9607, 513, 2679, 779, 1764, 593, 519, 1604, 267, 1519, 1216, 543, 1648, 4398, 267, 6757, 1570, 543, 4396, 3653, 5786, 267, 2011, 2298, 543, 519, 946, 540, 4264, 2679, 2326, 538, 782, 2127, 563, 3080, 540, 519, 6080, 602, 1419, 1491, 513, 25588, 1813, 547, 741, 7372, 1648, 4616, 568, 519, 9913, 543, 25877, 2872, 269, 2060, 519, 4417, 540, 5985, 25877, 3756, 543, 824, 4244, 9913, 3681, 891, 24284, 723, 1185, 547, 556, 2232, 711, 1152, 741, 32033, 6075, 3490, 267, 855, 849, 741, 1764, 593, 519, 1604, 543, 519, 7372, 2179, 540, 1648, 789, 8532, 269, 20098, 30988, 568, 606, 1858, 12021, 585, 922, 10373, 8732, 16394, 543, 9913, 5749, 553, 543, 4277, 569, 2614, 267, 621, 779, 1631, 849, 1753, 547, 835, 540, 519, 4102, 3039, 2679, 3785, 547, 4266, 269, 634, 589, 6319, 1763, 677, 1299, 16629, 3626 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28184, 5793, 607, 28184, 454, 258, 689, 1239, 6958, 559, 614, 1104, 1292, 6958, 684, 692, 5228, 28184, 5793, 1104, 512, 339, 330, 267, 301, 267, 310, 267, 292, 267, 306, 692, 10174, 815, 28184, 11053, 330, 4590, 10174, 26644, 2891, 8722, 564, 547, 631, 4394, 15419, 3698, 1292, 6958, 15635, 10031, 825, 7397, 15630, 263, 1015, 2020, 10852, 18134, 815, 512, 339, 330, 12171, 9347, 20172, 267, 14950, 3429, 6889, 274, 476, 274, 476, 1321, 476, 1321, 5602, 10852, 18134, 26942, 263, 26383, 284, 271, 267, 4737, 284, 271, 267, 20202, 14352, 301, 267, 654, 267, 661, 267, 590, 4917, 10174, 269, 26383, 20813, 2682, 263, 271, 267, 2597, 284, 272, 994, 10174, 269, 992, 20813, 2682, 263, 271, 267, 2597, 284, 272, 2020, 10623, 564, 815, 28184, 269, 21803, 309, 541, 4590, 332, 4394, 815, 28184, 269, 21803, 309, 541, 10797, 10623, 564, 318, 18782, 815, 512, 339, 330, 9950, 660, 787, 9852, 664, 18134, 267, 8700, 284, 2767, 267, 1257, 19702, 762, 284, 10623, 564, 994, 10623, 564, 318, 18782, 26942, 263, 26383, 284, 273, 267, 4737, 284, 272, 267, 20202, 14352, 310, 267, 661, 11723, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 19702, 762, 284, 332, 4394, 1040, 28186, 263, 26383, 284, 273, 267, 4737, 284, 273, 267, 20202, 14352, 310, 267, 661, 4917, 1777, 330, 269, 3719, 2023, 9852, 664, 18134, 267, 1257, 6889, 24280, 2580, 4971, 284, 10852, 6958, 15635, 1040, 28186, 263, 26383, 284, 274, 267, 4737, 284, 274, 267, 20202, 284, 310, 2020, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 6889, 10623, 564, 20257, 28186, 263, 26383, 284, 274, 267, 4737, 284, 272, 267, 20202, 284, 310, 994, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 6889, 529, 6697, 547, 20257, 28186, 263, 26383, 284, 272, 267, 4737, 284, 273, 267, 20202, 284, 292, 994, 1777, 330, 11482, 8475, 9852, 664, 18134, 267, 1257, 6889, 332, 4394, 20257, 28186, 263, 26383, 284, 274, 267, 4737, 284, 273, 267, 20202, 284, 310, 2020, 1721, 1126, 538, 1292, 18134, 269, 7773, 325, 334, 15220, 10242, 263, 2567, 1126, 26942, 318, 20813, 2682, 9638, 611, 343, 284, 276, 267, 533, 8014, 284, 276, 2020, 10623, 564, 318, 18782, 8807, 1371, 4590, 10174, 12500, 785, 3488, 283, 27987, 285, 3299, 1292, 6958, 15635, 2020, 10174, 6230, 664, 31467, 3890, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 9045, 8734, 476, 476, 274, 476, 1704, 281, 6187, 281, 1556, 476, 1001, 279, 692, 287, 10461, 281, 695, 2033, 692, 12710, 19798, 9281, 2975, 9569, 9338, 294, 3036, 18952, 300, 692, 12218, 3079, 540, 1871, 630, 2958, 1833, 2020, 289, 12118, 585, 2620, 1565, 692, 30791, 10465, 267, 10343, 693, 513, 796, 328, 692, 342, 815, 530, 272, 267, 530, 273, 454, 343, 815, 1535, 272, 267, 1535, 273, 454, 344, 815, 6003, 476, 271, 610, 476, 272, 692, 344, 1002, 815, 12605, 267, 476, 271, 610, 476, 272, 692, 274, 291, 1239, 267, 17501, 513, 476, 273, 291, 7077, 10465, 692, 11693, 519, 3349, 538, 519, 3381, 1657, 267, 1018, 1131, 519, 7516, 581, 585, 3097, 6358, 2934, 630, 343, 1070, 519, 12035, 630, 310, 1070, 543, 519, 9186, 630, 321, 264, 547, 14183, 630, 310, 343, 1341, 536, 25145, 753, 281, 654, 281, 263, 272, 265, 333, 1070, 1535, 281, 263, 333, 265, 272, 1070, 536, 281, 272, 265, 272, 4534, 2094, 536, 568, 513, 3586, 692, 20701, 12163, 25807, 4753, 8976, 305, 2177, 692, 763, 2679, 3625, 540, 8356, 1968, 5121, 267, 1175, 519, 17683, 540, 513, 1599, 883, 3097, 320, 3113, 780, 11687, 263, 278, 8358, 23054, 263, 277, 264, 9847, 6843, 8987, 1240, 264, 9847, 3977, 692, 20701, 5814, 21795, 607, 19073, 692, 258, 6730, 25783, 4753, 8976, 305, 2177, 454, 2745, 28361, 333, 13263, 25783, 4753, 8976, 305, 2177, 14826, 5073, 258, 5590, 2597, 272, 267, 2597, 273, 267, 543, 9186, 454, 7076, 272, 815, 476, 271, 269, 276, 454, 7076, 273, 815, 476, 271, 269, 276, 454, 321, 5362, 815, 910, 272, 269, 271, 692, 258, 667, 2177, 31415, 8863, 3198, 12283, 4888, 312, 8025, 5058, 645, 5085, 8582, 454, 258, 18452, 338, 543, 17016, 454, 11687, 17750, 338, 815, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 630, 272, 267, 476, 271, 1070, 630, 272, 267, 476, 272, 22708, 322, 8091, 318, 16059, 338, 815, 1496, 16178, 267, 8771, 267, 8771, 267, 6936, 2639, 16059, 338, 815, 29129, 258, 2637, 4733, 543, 2638, 3977, 454, 1721, 1449, 17750, 267, 2953, 318, 16059, 538, 23407, 6025, 652, 17750, 338, 267, 2953, 318, 16059, 338, 2187, 825, 5276, 318, 18474, 1588, 815, 2597, 272, 2608, 1449, 17750, 314, 271, 316, 1341, 2597, 273, 2608, 1449, 17750, 314, 272, 316, 1341, 9186, 454, 825, 3977, 815, 703, 263, 15035, 318, 18474, 1588, 13843, 476, 271, 994, 825, 568, 6831, 8091, 23952, 815, 1412, 8133, 262, 952, 3977, 2652, 2953, 318, 16059, 3116, 1412, 5591, 7055, 825, 17016, 6910, 8443, 11687, 17750, 314, 271, 3910, 1449, 17750, 314, 272, 3910, 5276, 318, 18474, 1588, 267, 3977, 267, 568, 6831, 8091, 23952, 20285, 258, 7179, 3977, 454, 11133, 16062, 3994, 815, 7003, 8443, 16059, 314, 275, 316, 585, 3977, 538, 17016, 952, 3977, 314, 275, 316, 2652, 1412, 5591, 262, 7481, 16059, 6958, 9347, 815, 19073, 6185, 1092, 20988, 263, 16059, 338, 267, 9587, 284, 9131, 19152, 476, 272, 3299, 1412, 476, 18452, 476, 273, 3299, 1412, 476, 12430, 10395, 1588, 3299, 1412, 476, 2920, 10474, 19243, 3299, 1412, 476, 1772, 22043, 262, 7481, 604, 711, 1003, 16062, 3994, 912, 825, 1820, 3488, 301, 823, 256, 476, 1411, 3893, 621, 782, 2953, 26142, 333, 5073, 12828, 912, 825, 1820, 3488, 2791, 3893, 15079, 4636, 269, 476, 5901, 3843, 256, 315, 333, 8339, 8971, 16325, 16062, 3994, 4917, 2745, 263, 16059, 6958, 9347, 30419, 23952, 263, 8161, 25716, 11723, 258, 10758, 25783, 4753, 8976, 305, 2177, 454, 2745, 28361, 333, 3036, 25783, 4753, 8976, 305, 2177, 14826, 17210, 258, 5590, 2597, 272, 267, 2597, 273, 267, 543, 9186, 454, 7076, 272, 815, 476, 271, 269, 276, 454, 7076, 273, 815, 476, 271, 269, 276, 454, 321, 5362, 815, 910, 271, 269, 276, 692, 258, 667, 2177, 31415, 8863, 3198, 12283, 4888, 312, 8025, 5058, 645, 5085, 8582, 454, 258, 18452, 338, 543, 17016, 454, 11687, 17750, 338, 815, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 630, 272, 267, 476, 271, 1070, 630, 272, 267, 476, 272, 22708, 322, 8091, 318, 16059, 338, 815, 1496, 16178, 267, 6936, 267, 6936, 267, 6936, 2639, 16059, 338, 815, 29129, 258, 2637, 4733, 543, 2638, 3977, 454, 1721, 1449, 17750, 267, 2953, 318, 16059, 538, 23407, 6025, 652, 17750, 338, 267, 2953, 318, 16059, 338, 2187, 825, 5276, 318, 18474, 1588, 815, 2597, 272, 2608, 1449, 17750, 314, 271, 316, 1341, 2597, 273, 2608, 1449, 17750, 314, 272, 316, 1341, 9186, 454, 825, 3977, 815, 703, 263, 15035, 318, 18474, 1588, 13843, 476, 271, 994, 825, 568, 6831, 8091, 23952, 815, 1412, 8133, 262, 952, 3977, 2652, 2953, 318, 16059, 3116, 1412, 5591, 7055, 825, 17016, 6910, 8443, 11687, 17750, 314, 271, 3910, 1449, 17750, 314, 272, 3910, 5276, 318, 18474, 1588, 267, 3977, 267, 568, 6831, 8091, 23952, 20285, 258, 7179, 3977, 454, 11133, 16062, 3994, 815, 7003, 8443, 16059, 314, 275, 316, 585, 3977, 538, 17016, 952, 3977, 314, 275, 316, 2652, 1412, 5591, 262, 7481, 16059, 6958, 9347, 815, 19073, 6185, 1092, 20988, 263, 16059, 338, 267, 9587, 284, 9131, 19152, 476, 272, 3299, 1412, 476, 18452, 476, 273, 3299, 1412, 476, 12430, 10395, 1588, 3299, 1412, 476, 2920, 10474, 19243, 3299, 1412, 476, 1772, 22043, 262, 7481, 604, 711, 1003, 16062, 3994, 912, 825, 1820, 3488, 301, 823, 256, 476, 1411, 3893, 621, 782, 2953, 26142, 333, 5073, 12828, 912, 825, 1820, 3488, 2791, 3893, 15079, 4636, 269, 476, 5901, 3843, 256, 315, 333, 8339, 8971, 16325, 16062, 3994, 4917, 2745, 263, 16059, 6958, 9347, 30419, 23952, 263, 8161, 25716, 264, 9239, 258, 10691, 25783, 4753, 8976, 305, 2177, 454, 2745, 28361, 333, 27237, 25783, 4753, 8976, 305, 2177, 14826, 17210, 258, 570, 7495, 302, 281, 5590, 2597, 272, 267, 2597, 273, 267, 543, 9186, 454, 7076, 272, 815, 476, 271, 269, 271, 454, 7076, 273, 815, 910, 271, 269, 276, 454, 321, 5362, 815, 476, 271, 269, 1839, 692, 258, 667, 2177, 31415, 8863, 3198, 12283, 4888, 312, 8025, 5058, 645, 5085, 8582, 454, 258, 18452, 338, 543, 17016, 454, 11687, 17750, 338, 815, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 630, 272, 267, 476, 271, 1070, 630, 272, 267, 476, 272, 22708, 322, 8091, 318, 16059, 338, 815, 1496, 12148, 267, 8771, 267, 6936, 267, 8771, 2639, 16059, 338, 815, 29129, 258, 2637, 4733, 543, 2638, 3977, 454, 1721, 1449, 17750, 267, 2953, 318, 16059, 538, 23407, 6025, 652, 17750, 338, 267, 2953, 318, 16059, 338, 2187, 825, 5276, 318, 18474, 1588, 815, 2597, 272, 2608, 1449, 17750, 314, 271, 316, 1341, 2597, 273, 2608, 1449, 17750, 314, 272, 316, 1341, 9186, 454, 825, 3977, 815, 703, 263, 15035, 318, 18474, 1588, 13843, 476, 271, 994, 825, 568, 6831, 8091, 23952, 815, 1412, 8133, 262, 952, 3977, 2652, 2953, 318, 16059, 3116, 1412, 5591, 7055, 825, 17016, 6910, 8443, 11687, 17750, 314, 271, 3910, 1449, 17750, 314, 272, 3910, 5276, 318, 18474, 1588, 267, 3977, 267, 568, 6831, 8091, 23952, 20285, 258, 7179, 3977, 454, 11133, 16062, 3994, 815, 7003, 8443, 16059, 314, 275, 316, 585, 3977, 538, 17016, 952, 3977, 314, 275, 316, 2652, 1412, 5591, 262, 7481, 16059, 6958, 9347, 815, 19073, 6185, 1092, 20988, 263, 16059, 338, 267, 9587, 284, 9131, 19152, 476, 272, 3299, 1412, 476, 18452, 476, 273, 3299, 1412, 476, 12430, 10395, 1588, 3299, 1412, 476, 2920, 10474, 19243, 3299, 1412, 476, 1772, 22043, 262, 7481, 604, 711, 1003, 16062, 3994, 912, 825, 1820, 3488, 301, 823, 256, 476, 1411, 3893, 621, 782, 2953, 26142, 333, 5073, 12828, 912, 825, 1820, 3488, 2791, 3893, 15079, 4636, 269, 476, 5901, 3843, 256, 315, 333, 8339, 8971, 16325, 16062, 3994, 4917, 2745, 263, 16059, 6958, 9347, 30419, 23952, 263, 8161, 25716, 11723, 12163, 311, 3036, 8226, 281, 3340, 513, 3818, 4494, 8849, 3060, 692, 343, 272, 9847, 715, 13263, 630, 13263, 9847, 10691, 994, 4449, 16875, 9847, 6730, 9847, 2473, 3036, 454, 343, 273, 9847, 10758, 692, 20701, 12163, 25807, 4753, 8976, 305, 2177, 13138, 27912, 692, 1103, 1483, 1272, 267, 1498, 267, 649, 666, 1405, 581, 2679, 891, 829, 1061, 6425, 6000, 269, 3097, 763, 2856, 568, 602, 649, 2285, 873, 519, 1267, 267, 543, 789, 1628, 2933, 780, 1842, 13843, 476, 271, 815, 476, 274, 343, 272, 266, 476, 275, 343, 273, 910, 476, 1015, 692, 13052, 21283, 4041, 692, 274, 343, 272, 266, 476, 275, 343, 273, 910, 476, 1015, 815, 476, 271, 454, 288, 263, 275, 267, 276, 264, 910, 2097, 6251, 256, 1341, 272, 585, 9186, 1770, 454, 284, 476, 274, 268, 275, 1341, 476, 275, 268, 276, 910, 1015, 266, 272, 815, 476, 910, 272, 910, 272, 910, 476, 280, 3097, 14048, 2557, 815, 476, 271, 269, 272, 267, 865, 10208, 2094, 1657, 519, 1899, 454, 284, 476, 274, 268, 271, 269, 275, 1341, 476, 275, 268, 271, 269, 276, 910, 1015, 268, 271, 269, 272, 815, 476, 476, 273, 269, 277, 1341, 274, 269, 276, 910, 1015, 269, 272, 4534, 713, 1899, 568, 2965, 6251, 547, 589, 692, 289, 263, 272, 267, 272, 994, 14048, 2557, 476, 271, 269, 272, 267, 865, 1039, 2094, 2630, 519, 1899, 454, 284, 476, 274, 269, 272, 343, 272, 1341, 476, 275, 269, 272, 343, 273, 910, 476, 280, 269, 280, 692, 27309, 3582, 692, 268, 476, 274, 343, 272, 266, 476, 275, 343, 273, 910, 476, 1015, 815, 476, 271, 454, 268, 1565, 2557, 476, 271, 269, 272, 454, 268, 875, 1082, 2053, 547, 4019, 1565, 2557, 547, 1118, 476, 272, 267, 272, 7157, 9286, 692, 22372, 6060, 815, 476, 274, 266, 275, 268, 1015, 815, 910, 274, 692, 604, 594, 798, 621, 476, 272, 454, 274, 269, 272, 1341, 476, 275, 269, 272, 910, 280, 269, 280, 815, 910, 273, 269, 278, 692, 604, 594, 798, 621, 476, 273, 454, 274, 269, 272, 1341, 476, 275, 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 ]

[ 15444, 269, 7261, 339, 727, 6549, 21552, 21853, 1356, 269, 5246, 32536, 565, 476, 1220, 275, 282, 9610, 281, 15686, 280, 563, 268, 10557, 808, 312, 25286, 269, 7261, 339, 727, 6549, 21552, 25124, 12833, 6295, 519, 16164, 538, 16332, 665, 20234, 668, 2213, 21118, 338, 281, 589, 18669, 13771, 11043, 5530, 269, 1977, 4750, 540, 11916, 11202, 1108, 476, 2735, 280, 282, 10844, 281, 9834, 268, 1911, 563, 268, 15776, 615, 808, 299, 269, 7261, 339, 727, 6549, 21552, 5563, 543, 519, 2960, 269, 4750, 540, 519, 1977, 9142, 540, 32536, 1108, 476, 2735, 279, 282, 1240, 281, 15836, 274, 268, 279, 563, 268, 2725, 14636, 808, 291, 269, 10644, 543, 9615, 540, 7261, 339, 727, 6549, 21552, 25124, 269, 16316, 5623, 540, 6925, 476, 1960, 272, 282, 5655, 281, 9692, 268, 9262, 563, 268, 715, 770, 537, 2993, 661, 267, 2961, 1503, 661, 267, 5689, 821, 631, 267, 681, 328, 14493, 589, 267, 10370, 718, 670, 269, 674, 7614, 1277, 328, 7514, 6776, 7139, 11717, 894, 4713, 538, 17328, 8824, 7486, 3968, 609, 11118, 727, 6549, 21552, 1439, 268, 6716, 2068, 269, 3703, 4750, 540, 12794, 14670, 1108, 476, 1220, 280, 282, 16409, 281, 276, 3199, 268, 273, 563, 268, 8303, 518, 681, 297, 269, 2876, 10999, 1808, 2960, 15087, 538, 22412, 730, 11118, 727, 6549, 21552, 3968, 269, 4750, 540, 519, 1977, 9142, 540, 32536, 1108, 476, 2735, 274, 282, 280, 281, 280, 4391, 268, 5379, 563, 268, 681, 13704, 18074, 269, 3778, 540, 519, 7261, 339, 727, 6549, 21552, 269, 8828, 6481, 4750, 476, 1960, 278, 282, 3445, 281, 7277, 268, 3445, 563, 268, 590, 807, 30312, 267, 4793, 601, 681, 269, 1715, 11150, 585, 10644, 543, 10657, 540, 7261, 339, 727, 6549, 21552, 25124, 543, 8376, 538, 20348, 268, 16391, 3690, 8690, 5589, 760, 1801, 269, 11916, 31814, 17352, 476, 1220, 271, 282, 1724, 281, 10695, 268, 13199, 563, 268, 1733, 1856, 344, 681, 297, 267, 13192, 717, 267, 30421, 828, 654, 267, 1696, 620, 269, 717, 4545, 545, 21754, 597, 9615, 540, 6641, 24840, 5556, 523, 1388, 7261, 339, 727, 6549, 21552, 25124, 281, 11778, 540, 513, 18001, 4083, 5530, 269, 634, 4750, 540, 29956, 15302, 476, 1960, 278, 282, 11260, 281, 10482, 271, 268, 277, 269, 0, 2704, 15728, 21321, 560, 4168, 12138, 18018, 28086, 729, 606, 9565, 4436, 1870, 2006, 543, 22267, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4375, 2008, 2704, 15728, 21321, 560, 4168, 12138, 18018, 28086, 729, 606, 9565, 4436, 1870, 2006, 543, 22267, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4375, 2008, 2304, 1271, 4137, 538, 28929, 6214, 538, 5125, 585, 519, 1101, 1906, 5756, 540, 519, 14206, 2540, 267, 21238, 18018, 28086, 2968, 519, 2197, 781, 3056, 2923, 32388, 528, 1282, 519, 954, 8705, 1974, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 25953, 2008, 30952, 538, 476, 6245, 272, 267, 21238, 18018, 28086, 1071, 1922, 15903, 267, 2059, 609, 20913, 22642, 267, 519, 16600, 5991, 1049, 626, 4937, 4436, 13477, 267, 543, 538, 476, 6245, 275, 922, 24288, 3350, 267, 519, 7754, 8566, 9007, 13477, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 273, 2008, 2704, 15728, 18018, 28086, 17947, 4317, 16817, 1143, 538, 1010, 6107, 267, 543, 2429, 1010, 1272, 519, 16809, 540, 4317, 16817, 1143, 543, 519, 9097, 18541, 540, 519, 7754, 8566, 9007, 13477, 11461, 1010, 3527, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 274, 2008, 306, 517, 540, 606, 5580, 2173, 1497, 11665, 1920, 267, 21238, 18018, 28086, 7620, 759, 5034, 519, 282, 855, 267, 936, 942, 267, 646, 3357, 547, 3398, 519, 2856, 540, 834, 10623, 644, 531, 11897, 12009, 1852, 540, 5125, 2580, 18468, 538, 606, 19710, 540, 543, 4853, 1235, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4510, 2008, 2704, 15728, 18018, 28086, 729, 9244, 4550, 6261, 565, 880, 267, 543, 22309, 519, 2398, 11701, 2229, 585, 922, 834, 514, 1228, 12930, 257, 14470, 4507, 267, 7957, 1681, 513, 811, 24526, 3609, 540, 4436, 1436, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 3393, 2008, 2704, 15728, 18018, 28086, 7620, 3576, 513, 1909, 1418, 2358, 6694, 7239, 1354, 10024, 519, 3540, 3028, 538, 519, 2398, 11701, 12080, 540, 16010, 538, 476, 5002, 274, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 277, 2008, 26139, 267, 21238, 18018, 28086, 3357, 883, 4655, 609, 1010, 2706, 12542, 267, 945, 10353, 1010, 4566, 547, 1476, 4593, 622, 782, 519, 1875, 1790, 8793, 1609, 919, 540, 519, 538, 1931, 547, 7017, 7366, 540, 5215, 540, 6803, 16586, 267, 945, 1131, 1831, 1010, 4998, 1242, 16027, 23337, 718, 1870, 5443, 543, 834, 23389, 1125, 257, 519, 5101, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 278, 2008, 2704, 15728, 18018, 28086, 13604, 2451, 519, 1857, 5823, 547, 11654, 513, 4876, 538, 1870, 267, 543, 538, 476, 5002, 280, 646, 729, 12912, 28579, 540, 519, 19217, 800, 4604, 540, 918, 745, 653, 13082, 267, 543, 3710, 909, 513, 2673, 2123, 543, 2797, 2078, 609, 31578, 29775, 822, 918, 745, 653, 13153, 645, 2129, 6352, 3768, 16199, 22138, 267, 519, 16628, 540, 918, 745, 653, 17985, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4366, 2008, 2704, 15728, 18018, 28086, 1705, 711, 29343, 540, 2901, 9769, 543, 3079, 23032, 513, 834, 344, 3641, 257, 9769, 8204, 519, 2359, 267, 1818, 1010, 26022, 513, 942, 540, 11995, 13882, 609, 519, 4600, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5038, 280, 2008, 4263, 519, 16008, 267, 21238, 18018, 28086, 26916, 519, 918, 9820, 518, 538, 1010, 10343, 4633, 267, 543, 4682, 593, 547, 2161, 602, 9111, 1131, 711, 2087, 519, 2783, 540, 519, 4436, 2324, 1362, 267, 855, 1152, 513, 834, 854, 1454, 21950, 267, 1360, 1454, 3152, 543, 1360, 1454, 3532, 5125, 257, 1131, 4194, 922, 2042, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 20981, 2008, 1103, 476, 4489, 275, 267, 21238, 18018, 28086, 20888, 519, 12614, 540, 519, 3689, 2622, 2782, 267, 543, 759, 25390, 1010, 960, 609, 1010, 2673, 3659, 26081, 5341, 4147, 540, 519, 7754, 8566, 9007, 13477, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 272, 2008, 1103, 476, 4489, 276, 267, 21238, 18018, 28086, 3370, 513, 751, 5586, 1090, 547, 4147, 538, 519, 2012, 540, 519, 8087, 20830, 540, 16450, 540, 519, 681, 7795, 337, 267, 14053, 602, 30247, 4083, 14962, 21861, 10458, 670, 3326, 933, 326, 543, 952, 519, 918, 9820, 518, 729, 31464, 267, 602, 519, 4108, 1058, 1244, 846, 21861, 10458, 670, 3326, 933, 326, 267, 17548, 602, 952, 519, 25415, 8959, 547, 3035, 519, 24509, 566, 626, 3760, 2899, 519, 2112, 729, 4465, 602, 621, 1131, 2014, 513, 4838, 689, 519, 1318, 602, 1131, 1439, 519, 21257, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 273, 2008, 2704, 15728, 18018, 28086, 729, 31205, 19443, 676, 519, 1533, 538, 1010, 3646, 547, 1628, 513, 2923, 10504, 267, 782, 519, 811, 865, 607, 519, 1533, 1253, 27434, 519, 12666, 14786, 11262, 676, 519, 772, 961, 7322, 14552, 543, 676, 23052, 6504, 17018, 572, 267, 782, 540, 7247, 941, 6014, 267, 3056, 519, 1533, 547, 7662, 602, 513, 5858, 540, 834, 6312, 686, 5328, 257, 1870, 5443, 547, 22937, 21238, 18018, 28086, 519, 2556, 7482, 547, 4444, 909, 14786, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 274, 2008, 1103, 9140, 519, 2480, 615, 331, 18294, 267, 21238, 18018, 28086, 9715, 519, 12670, 11356, 267, 799, 2968, 519, 17514, 1222, 1957, 540, 1010, 2923, 10504, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 275, 2008, 2704, 15728, 18018, 28086, 23699, 519, 9746, 1876, 267, 799, 646, 6785, 865, 1134, 267, 543, 1031, 1010, 1378, 2883, 1035, 18210, 267, 799, 1185, 865, 29656, 2919, 267, 547, 5150, 1010, 10504, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4649, 2008, 2704, 15728, 18018, 28086, 6785, 519, 3652, 540, 519, 3014, 543, 26203, 873, 547, 2407, 5413, 8487, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 277, 2008, 1103, 476, 4489, 279, 267, 1310, 519, 15521, 540, 645, 6135, 6441, 527, 990, 12921, 267, 18018, 28086, 8547, 1079, 14078, 267, 519, 8092, 2471, 20635, 577, 10762, 27956, 1633, 544, 536, 670, 543, 3026, 592, 663, 17985, 267, 799, 1185, 513, 5916, 6578, 540, 476, 4391, 2929, 7436, 267, 547, 3715, 1071, 268, 10869, 7482, 602, 1131, 1118, 12029, 547, 519, 7366, 540, 5215, 540, 4436, 6705, 602, 646, 4397, 547, 4166, 581, 12306, 538, 8109, 2342, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 278, 2008, 2704, 15728, 18018, 28086, 7283, 693, 918, 745, 653, 2394, 476, 4489, 279, 267, 950, 646, 1305, 856, 547, 1628, 1010, 1378, 1870, 267, 543, 1282, 519, 4279, 12870, 646, 729, 2111, 547, 4444, 909, 19421, 540, 2199, 14786, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 279, 2008, 2704, 15728, 18018, 28086, 781, 2810, 9525, 538, 7754, 8566, 9007, 543, 24509, 566, 626, 3123, 1927, 609, 1010, 1719, 538, 2679, 513, 2923, 10504, 3361, 1864, 547, 8977, 689, 918, 745, 653, 267, 799, 646, 1336, 547, 581, 513, 30411, 689, 1018, 2731, 5461, 1864, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 4792, 280, 2008, 2704, 15728, 18018, 28086, 729, 2141, 18617, 602, 5125, 1131, 9156, 689, 519, 14710, 540, 476, 4489, 279, 267, 782, 519, 811, 865, 607, 646, 5156, 519, 4436, 4108, 1185, 711, 2965, 1044, 17204, 538, 476, 4489, 279, 282, 538, 1010, 21169, 267, 1317, 621, 729, 519, 834, 560, 629, 2987, 7308, 25746, 257, 602, 3361, 519, 14710, 267, 782, 602, 729, 2556, 729, 8806, 547, 4894, 519, 834, 10177, 6002, 257, 689, 519, 6429, 538, 1931, 547, 3094, 519, 1985, 1158, 2112, 602, 646, 4397, 547, 2049, 28069, 538, 519, 2282, 1922, 1956, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 32133, 2008, 2704, 15728, 18018, 28086, 729, 835, 540, 513, 1297, 540, 7754, 16586, 547, 1831, 3238, 538, 519, 2817, 27565, 9549, 538, 519, 2196, 909, 547, 519, 3689, 2622, 2782, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 272, 2008, 1103, 476, 4489, 280, 21238, 18018, 28086, 4553, 1034, 540, 519, 12429, 1633, 9549, 883, 519, 4436, 2817, 4658, 781, 9549, 267, 799, 646, 6719, 538, 519, 2817, 13909, 630, 7474, 3812, 519, 476, 4489, 280, 11156, 540, 519, 1284, 31483, 6243, 1916, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 273, 2008, 2704, 15728, 18018, 28086, 729, 11221, 547, 519, 538, 519, 476, 4572, 271, 12836, 547, 519, 1007, 1560, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 274, 2008, 4462, 762, 547, 1265, 2318, 3853, 602, 941, 5827, 540, 8066, 519, 667, 309, 23259, 1927, 267, 1577, 4805, 540, 2870, 519, 4990, 540, 3084, 9322, 602, 646, 4941, 267, 21238, 18018, 28086, 3357, 547, 5581, 1010, 538, 2942, 2474, 676, 5275, 547, 1265, 834, 523, 12562, 257, 547, 1683, 513, 9322, 538, 23998, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 5038, 2008, 1103, 476, 4572, 271, 267, 21238, 18018, 28086, 8547, 513, 17069, 626, 9184, 331, 1355, 267, 519, 267, 799, 2968, 1010, 1034, 19311, 11356, 267, 2348, 513, 3232, 10009, 540, 476, 21327, 476, 1822, 676, 476, 4572, 280, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 277, 4792, 2008, 2704, 15728, 18018, 28086, 1185, 8547, 519, 570, 308, 547, 14526, 609, 519, 1855, 25393, 13163, 1739, 20286, 689, 4436, 11122, 2510, 540, 834, 12221, 1968, 9186, 257, 693, 519, 26728, 742, 24804, 1855, 25393, 13163, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 26116, 2008, 2704, 15728, 18018, 28086, 8547, 513, 1589, 339, 1678, 267, 519, 547, 3895, 1010, 2093, 1247, 2713, 513, 29660, 268, 30658, 7095, 6197, 693, 1010, 10040, 693, 30323, 3630, 5287, 563, 347, 15542, 27409, 2089, 564, 3143, 269, 476, 29121, 267, 5780, 278, 2008, 1103, 476, 4572, 273, 267, 1927, 609, 519, 4853, 626, 2506, 559, 918, 2273 ]

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

[ 1038, 1948, 567, 3897, 1549, 568, 476, 1015, 454, 1038, 1948, 567, 3977, 568, 519, 5276, 318, 16059, 540, 519, 6456, 4494, 25341, 529, 513, 4396, 1297, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 3897, 1549, 2187, 2018, 12297, 26574, 5157, 316, 815, 3403, 5157, 316, 2608, 590, 31451, 263, 16059, 314, 26383, 8079, 2608, 630, 272, 269, 271, 910, 590, 31451, 263, 16059, 314, 26383, 28413, 1038, 2132, 12297, 26574, 454, 825, 952, 2415, 2652, 1412, 321, 5362, 12466, 1038, 12297, 306, 31451, 289, 5362, 815, 590, 31451, 263, 16059, 314, 26383, 8079, 2608, 630, 272, 269, 271, 910, 630, 306, 31451, 263, 16059, 314, 26383, 316, 21875, 1038, 2132, 12297, 306, 31451, 289, 5362, 692, 3698, 9941, 16655, 32056, 10216, 633, 263, 7076, 267, 2571, 16655, 267, 3897, 1549, 267, 6241, 267, 2415, 815, 1412, 30135, 262, 2187, 1038, 1948, 552, 11859, 269, 912, 1038, 1948, 594, 993, 2469, 547, 1265, 519, 12297, 540, 519, 9186, 314, 271, 316, 630, 1492, 1101, 2165, 540, 519, 9186, 2676, 1038, 1948, 952, 2571, 16655, 1267, 568, 281, 314, 271, 269, 272, 267, 271, 269, 273, 267, 271, 269, 274, 267, 271, 269, 273, 267, 271, 269, 273, 316, 12467, 1038, 1948, 543, 519, 12045, 540, 519, 2034, 6221, 538, 519, 2571, 10946, 1267, 568, 1114, 609, 519, 1101, 6221, 454, 1038, 1948, 476, 2411, 19203, 11004, 568, 4986, 547, 798, 609, 519, 6003, 2411, 454, 1038, 1948, 1488, 7714, 912, 2018, 1948, 3403, 281, 519, 1267, 1310, 2571, 16655, 1184, 454, 2018, 1948, 3897, 1549, 281, 2040, 540, 519, 9587, 454, 2018, 1948, 6003, 281, 519, 6003, 540, 519, 1699, 6152, 267, 538, 2143, 267, 519, 6003, 1797, 799, 3897, 1549, 1058, 581, 519, 26228, 454, 825, 952, 2415, 2652, 1412, 343, 12466, 1038, 1948, 2597, 5119, 568, 519, 12035, 318, 273, 454, 1038, 1948, 3897, 1549, 568, 631, 1934, 454, 1038, 12297, 6358, 815, 5286, 25910, 9230, 300, 267, 476, 272, 4917, 1038, 585, 795, 538, 2039, 263, 271, 267, 631, 2187, 2018, 12297, 6358, 14728, 316, 815, 2597, 314, 26383, 267, 795, 316, 2608, 2571, 16655, 14728, 2639, 2018, 585, 737, 538, 2039, 263, 271, 267, 631, 2187, 3546, 12297, 6358, 14728, 316, 6834, 2597, 314, 26383, 267, 737, 316, 2608, 2571, 16655, 25208, 316, 2608, 2571, 16655, 14728, 2639, 1038, 2132, 12297, 6358, 692, 825, 8640, 2415, 2652, 1412, 30135, 12466, 1038, 1948, 5173, 585, 835, 6241, 540, 519, 2597, 5119, 454, 1038, 12297, 26574, 815, 5286, 25910, 9230, 323, 574, 1549, 267, 476, 272, 4917, 1038, 585, 1775, 538, 2039, 263, 271, 267, 3897, 1549, 2187, 2018, 952, 6241, 2652, 1775, 281, 476, 1948, 519, 6241, 3768, 730, 568, 4010, 519, 2530, 835, 454, 3546, 12297, 26574, 5157, 316, 815, 2571, 16655, 5157, 316, 2608, 630, 272, 910, 2571, 16655, 5157, 7481, 2018, 952, 6241, 11203, 1775, 281, 476, 1948, 519, 824, 9587, 454, 3546, 12297, 26574, 5157, 316, 815, 910, 272, 2608, 2571, 16655, 5157, 316, 2608, 2571, 16655, 314, 26383, 2639, 1038, 2132, 12297, 26574, 692, 825, 8640, 2415, 2652, 1412, 321, 5362, 12466, 1038, 12297, 289, 5362, 815, 5286, 25910, 9230, 300, 267, 476, 272, 4917, 1038, 585, 1775, 538, 2039, 263, 271, 267, 631, 2187, 2018, 952, 1775, 2652, 6241, 912, 3546, 12297, 289, 5362, 5157, 316, 815, 2571, 16655, 5157, 316, 2608, 630, 272, 910, 2571, 16655, 5157, 7481, 2018, 3116, 912, 3546, 12297, 289, 5362, 5157, 316, 815, 910, 272, 2608, 2571, 16655, 5157, 316, 2608, 2571, 16655, 314, 26383, 2639, 1038, 2132, 12297, 289, 5362, 19638, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 1384, 825, 1948, 5352, 519, 3355, 10321, 267, 609, 476, 276, 6688, 630, 18528, 5166, 1611, 994, 825, 9074, 318, 272, 815, 2612, 18828, 20179, 20120, 333, 263, 1911, 271, 267, 476, 273, 4917, 825, 9074, 318, 273, 815, 2612, 18828, 20179, 20120, 333, 263, 1911, 271, 267, 476, 273, 264, 1341, 476, 276, 994, 825, 6152, 318, 272, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 273, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 4917, 825, 6152, 318, 273, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 273, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 4917, 825, 6152, 318, 274, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 273, 267, 9074, 318, 272, 267, 9074, 318, 272, 4917, 825, 6152, 318, 275, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 273, 267, 9074, 318, 272, 4917, 825, 6152, 318, 276, 815, 5286, 269, 26383, 14067, 871, 9230, 7116, 2544, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 272, 267, 9074, 318, 273, 4917, 825, 1948, 6152, 318, 274, 815, 5286, 269, 31412, 263, 11274, 18828, 20179, 20120, 333, 263, 1911, 876, 264, 1341, 476, 279, 1070, 630, 1911, 271, 267, 476, 1015, 4917, 825, 1948, 6152, 318, 275, 815, 5286, 269, 31412, 263, 11274, 18828, 20179, 20120, 333, 263, 1911, 876, 264, 1341, 476, 1321, 1070, 630, 1911, 271, 267, 476, 1015, 4917, 825, 1948, 6152, 318, 276, 815, 5286, 269, 31412, 263, 11274, 18828, 20179, 20120, 333, 263, 1911, 876, 264, 1341, 476, 1626, 1070, 630, 1911, 271, 267, 476, 1015, 4917, 825, 6152, 815, 5286, 269, 992, 14067, 871, 9230, 19066, 318, 272, 267, 6152, 318, 273, 267, 6152, 318, 274, 267, 6152, 318, 275, 267, 6152, 318, 276, 4917, 825, 1948, 5352, 519, 10297, 912, 825, 6003, 318, 272, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 272, 994, 825, 6003, 318, 273, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 273, 994, 825, 6003, 318, 274, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 274, 994, 825, 6003, 318, 275, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 275, 994, 825, 6003, 318, 276, 815, 5286, 269, 21459, 9230, 1911, 271, 267, 476, 272, 1070, 476, 276, 994, 825, 6003, 815, 5286, 269, 992, 14067, 871, 9230, 16932, 318, 272, 267, 6003, 318, 273, 267, 6003, 318, 274, 267, 6003, 318, 275, 267, 6003, 318, 276, 4917, 825, 6152, 318, 2908, 815, 5286, 19544, 23637, 9230, 19066, 267, 6003, 4917, 825, 6152, 17601, 815, 5286, 25910, 9230, 4335, 271, 267, 476, 1556, 4917, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 1911, 271, 2187, 1038, 585, 795, 538, 2039, 263, 271, 267, 476, 276, 2187, 2018, 6152, 17601, 5157, 265, 276, 1341, 795, 316, 815, 6152, 318, 2908, 5157, 266, 1911, 271, 265, 329, 6540, 454, 825, 1948, 538, 807, 559, 1125, 519, 12035, 5119, 543, 9186, 585, 519, 1101, 543, 2034, 4494, 540, 519, 4888, 301, 454, 825, 918, 815, 476, 1015, 476, 1948, 1101, 9078, 9707, 318, 928, 584, 517, 20311, 454, 825, 700, 815, 476, 1321, 476, 1948, 1101, 9078, 9707, 318, 928, 584, 517, 20311, 454, 825, 631, 815, 476, 276, 567, 1948, 1101, 9078, 9707, 318, 928, 584, 517, 20311, 454, 825, 12035, 318, 272, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 263, 298, 267, 700, 4917, 825, 9186, 318, 272, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 263, 272, 267, 700, 4917, 825, 12035, 318, 273, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 27331, 267, 631, 4917, 825, 9186, 318, 273, 815, 2612, 263, 271, 269, 9826, 2608, 5286, 20179, 20120, 333, 263, 272, 267, 631, 11723, 825, 1948, 12035, 318, 272, 815, 5286, 25910, 9230, 298, 267, 700, 4297, 476, 1948, 585, 519, 2597, 5119, 267, 1142, 6241, 568, 513, 29976, 585, 513, 1978, 7121, 454, 825, 1948, 9186, 318, 272, 815, 5286, 25910, 9230, 272, 267, 700, 4917, 825, 1948, 12035, 318, 273, 815, 5286, 25910, 9230, 299, 267, 631, 4917, 825, 1948, 9186, 318, 273, 815, 5286, 25910, 9230, 272, 267, 631, 11723, 825, 1948, 4259, 519, 5409, 268, 12407, 4394, 454, 825, 2450, 14067, 788, 815, 476, 271, 269, 4905, 454, 825, 22184, 815, 476, 273, 454, 825, 2530, 8217, 815, 11713, 825, 585, 795, 538, 2039, 263, 271, 267, 22184, 2187, 1038, 585, 1775, 538, 2039, 263, 271, 267, 476, 4335, 271, 2187, 2018, 1948, 3355, 1125, 1098, 5119, 454, 2018, 1948, 5276, 318, 16059, 318, 272, 815, 5286, 25910, 9230, 272, 267, 700, 4917, 2018, 1948, 1875, 318, 15035, 318, 16059, 318, 272, 815, 5286, 25910, 9230, 272, 267, 700, 4917, 2018, 1948, 5276, 318, 16059, 318, 273, 815, 5286, 25910, 9230, 272, 267, 631, 4917, 2018, 1948, 1875, 318, 15035, 318, 16059, 318, 273, 815, 5286, 25910, 9230, 272, 267, 631, 4917, 1038, 1948, 3355, 519, 554, 16582, 4494, 540, 519, 4888, 301, 454, 1038, 1948, 1362, 26571, 912, 2018, 1948, 630, 30135, 267, 9186, 267, 3403, 994, 2018, 6456, 9078, 9707, 815, 4494, 263, 30135, 318, 272, 267, 9186, 318, 272, 267, 5286, 269, 31412, 263, 19066, 17601, 5157, 267, 476, 271, 281, 1015, 3910, 630, 272, 267, 918, 21875, 2018, 5276, 318, 16059, 318, 272, 815, 6456, 9078, 9707, 27904, 4590, 2018, 1875, 318, 15035, 318, 16059, 318, 272, 815, 590, 31451, 263, 15035, 318, 16059, 318, 272, 994, 1038, 1948, 4464, 547, 519, 3977, 4494, 454, 1038, 1948, 3355, 519, 3977, 4494, 540, 519, 4888, 301, 454, 2018, 3977, 9078, 9707, 815, 4494, 263, 30135, 318, 273, 267, 9186, 318, 273, 267, 1875, 318, 15035, 318, 16059, 318, 272, 994, 2018, 5276, 318, 16059, 318, 273, 815, 3977, 9078, 9707, 27904, 4590, 2018, 1163, 318, 16059, 318, 273, 815, 5286, 269, 10339, 263, 15035, 318, 16059, 318, 273, 994, 2018, 1875, 318, 15035, 318, 16059, 318, 273, 815, 9941, 16655, 263, 10339, 318, 16059, 318, 273, 2020, 1038, 1948, 9096, 519, 4464, 1184, 267, 543, 5173, 519, 2530, 6060, 454, 2018, 2530, 5334, 13990, 815, 9061, 22209, 16552, 18828, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 24270, 703, 263, 19066, 17601, 5157, 267, 476, 1015, 316, 268, 272, 1070, 476, 276, 994, 2018, 2530, 8217, 6910, 263, 15615, 10857, 1601, 5334, 13990, 4297, 476, 1948, 585, 519, 21267, 454, 2018, 1948, 1820, 3488, 1492, 1297, 568, 3299, 1775, 1341, 476, 4335, 271, 265, 329, 2073, 262, 513, 557, 518, 720, 2530, 568, 1631, 281, 3299, 2530, 5334, 13990, 264, 476, 1948, 1449, 25341, 22772, 602, 1472, 476, 271, 269, 273, 568, 2953, 692, 1038, 1948, 1210, 590, 31270, 4393, 262, 734, 285, 10177, 1456, 1184, 454, 1038, 1948, 454, 1038, 1948, 9337, 519, 6724, 585, 519, 3977, 4494, 912, 2018, 12297, 289, 5362, 273, 815, 5286, 25910, 9230, 300, 267, 476, 272, 4917, 2018, 585, 6241, 538, 2039, 263, 271, 267, 631, 2187, 3546, 1948, 9941, 16655, 32056, 29719, 263, 7076, 267, 2571, 16655, 267, 10155, 267, 6241, 267, 2415, 8782, 30135, 262, 2187, 3546, 1948, 9061, 22209, 16552, 32056, 29719, 9272, 267, 2571, 16655, 291, 582, 28504, 574, 3290, 267, 2571, 16655, 267, 6003, 267, 2415, 815, 1412, 30135, 262, 2187, 3546, 12297, 25413, 7246, 343, 26574, 273, 815, 9941, 16655, 32056, 10216, 633, 263, 30135, 318, 273, 267, 5286, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 4449, 672, 631, 267, 6241, 994, 3546, 12297, 25413, 16655, 289, 5362, 273, 815, 9941, 16655, 32056, 10216, 633, 263, 30135, 318, 273, 267, 5286, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 4449, 672, 631, 267, 6241, 267, 2415, 8782, 321, 5362, 17210, 3546, 12297, 26574, 273, 815, 9061, 22209, 16552, 32056, 29719, 18828, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 272, 267, 630, 299, 267, 476, 272, 264, 13211, 14030, 7386, 5286, 269, 31412, 5560, 582, 25413, 7246, 343, 26574, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 7386, 5286, 269, 31412, 3799, 517, 318, 15035, 318, 16059, 318, 273, 267, 630, 300, 267, 476, 272, 264, 13211, 14030, 7386, 703, 263, 19066, 17601, 5157, 267, 476, 1015, 8079, 268, 272, 994, 3546, 12297, 289, 5362, 273, 314, 26383, 316, 815, 9061 ]

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

[ 518, 7089, 476, 3953, 268, 5325, 8094, 15812, 518, 3126, 269, 901, 15262, 568, 3769, 538, 519, 11882, 8466, 5980, 1315, 634, 11882, 3778, 17583, 15262, 3126, 563, 19613, 269, 476, 6078, 4113, 476, 2764, 269, 4366, 12664, 715, 267, 476, 11025, 4113, 476, 1015, 269, 277, 3607, 12664, 654, 269, 4460, 518, 568, 538, 31240, 664, 267, 11882, 267, 538, 31240, 664, 6019, 269, 4460, 518, 568, 593, 20463, 728, 8092, 532, 779, 631, 850, 7043, 623, 1512, 779, 18736, 2603, 5087, 540, 20463, 728, 22971, 543, 12548, 22971, 267, 593, 519, 2451, 950, 10707, 5087, 269, 898, 568, 2066, 689, 674, 667, 1442, 269, 25291, 585, 4786, 269, 4460, 518, 568, 538, 713, 2022, 5604, 1858, 281, 31240, 664, 27846, 476, 24496, 7367, 267, 2136, 2276, 540, 3013, 269, 25291, 585, 8846, 563, 8448, 7404, 12508, 269, 2311, 2547, 476, 279, 824, 12508, 616, 1369, 476, 273, 5195, 540, 713, 15262, 267, 6027, 607, 5853, 532, 540, 31240, 664, 267, 11882, 630, 13627, 269, 476, 26528, 13304, 2476, 5148, 29665, 5403, 630, 13627, 269, 476, 26528, 13304, 2476, 5148, 31240, 664, 13749, 476, 1911, 630, 13627, 269, 476, 271, 269, 275, 5195, 2476, 5148, 634, 31240, 664, 570, 1941, 5964, 267, 476, 4572, 275, 630, 13627, 269, 3368, 513, 13304, 2476, 5148, 26676, 20761, 630, 13627, 269, 476, 271, 269, 277, 5195, 2476, 5148, 8235, 1613, 5244, 2782, 17341, 630, 13627, 269, 476, 272, 269, 274, 5195, 2476, 5148, 2372, 514, 1097, 589, 269, 28711, 3467, 630, 13627, 269, 476, 272, 269, 274, 5195, 2476, 5148, 4937, 2372, 514, 1097, 17566, 28711, 3467, 630, 13627, 269, 476, 272, 269, 274, 5195, 2476, 1040, 25291, 585, 513, 1592, 543, 4786, 540, 782, 12508, 538, 31240, 664, 563, 9827, 1294, 1547, 1547, 1547, 7300, 3758, 281, 634, 3778, 540, 519, 31240, 664, 700, 30224, 267, 476, 4489, 278, 1700, 1001, 278, 269, 476, 4391, 2985, 11609, 3561, 16432, 676, 4406, 24809, 8055, 543, 3370, 676, 519, 31240, 664, 5398, 7732, 3590, 269, 1401, 1356, 696, 912, 763, 7372, 267, 1614, 3613, 800, 561, 30224, 729, 2966, 547, 16641, 519, 10917, 652, 6681, 4365, 540, 8235, 661, 4471, 269, 3245, 519, 22583, 7944, 540, 519, 2497, 267, 513, 4009, 13486, 267, 547, 5529, 676, 513, 26816, 1181, 4055, 267, 11498, 1175, 1657, 519, 8486, 3481, 8122, 269, 634, 25810, 540, 519, 561, 30224, 3568, 513, 28250, 1181, 267, 5755, 10822, 267, 543, 4859, 2230, 269, 589, 12227, 4055, 267, 19880, 267, 543, 1907, 4055, 616, 4092, 593, 519, 1101, 6989, 269, 1323, 5604, 27473, 4055, 267, 7523, 2917, 630, 18145, 7770, 264, 609, 20562, 787, 267, 536, 6064, 3336, 543, 2011, 13688, 630, 1721, 519, 20893, 1817, 985, 264, 616, 4092, 593, 519, 2034, 6989, 269, 634, 3791, 6989, 3568, 519, 1019, 7469, 2158, 609, 513, 12557, 3926, 267, 22302, 2694, 9376, 518, 267, 20893, 1817, 333, 267, 476, 10384, 3766, 718, 517, 1216, 7382, 543, 24383, 3056, 547, 519, 26816, 1181, 4055, 269, 476, 729, 263, 8138, 4784, 593, 5412, 476, 277, 267, 476, 1001, 280, 8094, 290, 20975, 269, 3040, 4826, 1811, 1299, 26751, 17632, 3040, 454, 5415, 269, 9612, 519, 4950, 585, 31240, 664, 4639, 16505, 4248, 700, 30224, 1315, 30540, 519, 31240, 664, 700, 30224, 563, 290, 1042, 1080, 269, 901, 2985, 729, 2063, 15428, 593, 5412, 476, 277, 267, 476, 1001, 280, 269, 901, 2985, 8385, 11643, 593, 5412, 476, 277, 267, 476, 1001, 280, 267, 676, 808, 269, 808, 269, 2398, 1846, 540, 18120, 749, 267, 11882, 269, 901, 2985, 814, 1044, 9763, 476, 7906, 2053, 2094, 1287, 543, 476, 273, 2053, 713, 1032, 269, 16071, 281, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 269, 11643, 593, 5412, 476, 277, 267, 476, 1001, 280, 267, 676, 808, 269, 808, 269, 2398, 1846, 540, 18120, 749, 267, 11882, 269, 0, 1103, 713, 29395, 267, 596, 786, 1265, 8847, 585, 4122, 1031, 2474, 1644, 547, 5491, 543, 7963, 269, 18833, 1018, 891, 2474, 1611, 786, 948, 596, 1118, 5483, 3664, 827, 707, 18083, 563, 10907, 5120, 566, 1849, 1021, 269, 589, 11865, 538, 513, 10211, 6876, 602, 2636, 513, 3841, 3218, 547, 3747, 8569, 538, 2407, 952, 596, 798, 711, 2743, 519, 2474, 540, 519, 6876, 563, 16914, 29471, 9314, 269, 9314, 602, 7213, 12885, 593, 513, 7963, 602, 596, 28297, 563, 25486, 783, 20587, 720, 15580, 630, 4338, 305, 1040, 634, 1942, 540, 5491, 267, 6829, 607, 513, 21496, 2557, 269, 634, 5313, 18266, 538, 700, 2056, 2920, 3340, 602, 782, 3091, 585, 5491, 5815, 519, 5491, 779, 6673, 305, 865, 602, 6800, 666, 1174, 519, 1942, 540, 519, 5491, 789, 616, 7311, 585, 543, 865, 789, 666, 5635, 5491, 3091, 563, 30761, 3019, 32237, 269, 589, 3803, 8569, 593, 513, 10211, 602, 568, 15186, 3677, 982, 3105, 11033, 563, 289, 1678, 4533, 1097, 269, 589, 3656, 5650, 18170, 676, 5313, 1876, 602, 2337, 6800, 945, 723, 1932, 1454, 7963, 269, 1403, 596, 3758, 585, 3848, 476, 1724, 267, 596, 786, 723, 1614, 547, 2947, 1296, 547, 2628, 1055, 707, 22440, 267, 543, 519, 3666, 540, 1018, 596, 28297, 593, 1978, 22440, 786, 581, 530, 21317, 856, 693, 519, 1439, 540, 602, 942, 269, 2368, 22440, 786, 2611, 269, 1403, 596, 3758, 585, 3848, 476, 1556, 267, 596, 786, 723, 547, 2285, 909, 1978, 7221, 865, 602, 789, 666, 581, 4421, 543, 519, 23131, 786, 581, 4294, 547, 707, 22440, 563, 290, 1662, 21992, 269, 22418, 5833, 689, 513, 5491, 3556, 563, 290, 1662, 10025, 269, 634, 9806, 6712, 540, 513, 2898, 1272, 267, 8471, 267, 610, 4756, 1272, 6142, 3609, 269, 1411, 666, 10210, 1996, 602, 1871, 563, 5141, 2216, 7232, 526, 15894, 269, 589, 10211, 602, 596, 1590, 23231, 676, 1818, 6378, 11033, 936, 513, 9138, 3267, 0, 16391, 665, 520, 4519, 3096, 1507, 5214, 6675, 15866, 7768, 540, 595, 267, 670, 267, 744, 267, 715, 267, 590, 543, 623, 547, 17108, 3114, 6547, 269, 634, 5383, 540, 1418, 665, 520, 3315, 7370, 1331, 741, 3668, 540, 8417, 547, 7509, 543, 5135, 267, 741, 4712, 8244, 267, 1970, 1942, 267, 543, 1970, 17219, 267, 799, 1476, 619, 513, 5458, 1463, 4324, 538, 519, 2504, 540, 14453, 10827, 919, 950, 3379, 609, 630, 10520, 819, 264, 4496, 27857, 563, 1103, 519, 1383, 540, 519, 12928, 4141, 1597, 698, 601, 9473, 18730, 267, 621, 568, 5156, 602, 14039, 704, 26593, 3029, 513, 19535, 708, 514, 1756, 9357, 13591, 609, 519, 3327, 2643, 7623, 912, 5194, 1418, 665, 520, 3315, 560, 568, 20336, 4338, 267, 799, 6411, 607, 606, 1035, 2643, 4483, 8665, 912, 1320, 27927, 565, 1756, 20919, 616, 11684, 579, 5404, 565, 2426, 556, 698, 757, 630, 2329, 331, 606, 542, 5973, 757, 1070, 585, 1383, 4466, 3498, 538, 519, 853, 21392, 31472, 912, 5472, 540, 891, 1418, 665, 520, 3315, 7370, 616, 2111, 547, 1106, 10151, 32128, 7554, 269, 4033, 27857, 666, 1106, 670, 1532, 4637, 267, 610, 4497, 538, 14039, 3613, 22326, 543, 9357, 6292, 4205, 630, 874, 848, 4483, 27857, 1040, 9697, 3315, 7370, 949, 581, 16887, 2966, 585, 513, 1808, 4305, 910, 585, 1383, 267, 14123, 679, 21468, 846, 29193, 24740, 563, 347, 2304, 2038, 1383, 540, 606, 679, 21468, 846, 29193, 853, 21392, 31472, 568, 3254, 2630, 281, 2433, 1475, 454, 16347, 7713, 519, 11132, 2824, 2032, 454, 5319, 21468, 846, 29193, 7812, 18827, 1210, 5123, 4483, 3032, 4519, 912, 763, 1101, 679, 21468, 846, 29193, 1418, 665, 520, 24608, 6547, 1185, 2907, 1044, 4330, 693, 519, 4098, 540, 519, 476, 736, 628, 2540, 267, 543, 930, 27314, 267, 16496, 6547, 971, 607, 519, 605, 1467, 2275, 520, 3315, 7458, 10282, 540, 1904, 1227, 3742, 32104, 9864, 3889, 676, 670, 1690, 657, 267, 623, 1551, 880, 267, 661, 1457, 267, 590, 21516, 543, 654, 773, 7815, 339, 1185, 1044, 4080, 538, 476, 3192, 272, 630, 313, 269, 717, 269, 670, 1690, 657, 267, 667, 269, 681, 269, 623, 1551, 880, 267, 808, 269, 2107, 326, 269, 6314, 269, 476, 3192, 275, 267, 476, 4375, 267, 476, 14065, 276, 282, 772, 269, 661, 1457, 267, 717, 269, 590, 21516, 267, 681, 269, 654, 773, 7815, 339, 267, 1323, 613, 342, 269, 6314, 269, 2271, 269, 3798, 269, 476, 3192, 272, 267, 476, 1015, 267, 476, 5392, 277, 267, 20396, 1040, 1717, 267, 519, 5912, 4496, 2861, 27857, 2919, 811, 5063, 723, 6537, 519, 17794, 779, 2671, 540, 3007, 563, 295, 1690, 657, 6261, 1551, 880, 7232, 1457, 4149, 21516, 8862, 773, 7815, 339, 5114, 630, 9987, 994, 763, 1101, 12326, 689, 519, 2516, 540, 5839, 27908, 534, 267, 5903, 267, 16862, 267, 543, 15243, 5459, 21490, 519, 1259, 538, 519, 1032, 476, 1960, 271, 269, 1452, 5359, 5189, 3810, 679, 21468, 846, 29193, 14759, 602, 15180, 539, 519, 4496, 2275, 520, 3315, 7458, 6547, 538, 1312, 11729, 543, 2824, 2032, 269, 4495, 713, 5748, 729, 9788, 267, 20387, 1719, 538, 1418, 665, 520, 4519, 729, 10630, 538, 513, 4028, 2333, 538, 12326, 593, 713, 1888, 689, 513, 3395, 1297, 540, 1382, 2516, 563, 3682, 1467, 23402, 7135, 723, 8810, 2933, 547, 581, 1483, 960, 1817, 572, 1418, 665, 520, 3315, 7370, 269, 1358, 723, 1044, 1031, 538, 513, 3099, 540, 3327, 2643, 7623, 14759, 267, 1141, 519, 3032, 4519, 568, 5156, 547, 4125, 519, 708, 514, 1756, 1106, 269, 1452, 27857, 616, 10464, 543, 11593, 3015, 912, 288, 2489, 4605, 540, 2487, 7835, 281, 966, 269, 667, 269, 645, 269, 12844, 604, 659, 1470, 267, 1160, 1467, 14216, 643, 2510, 538, 17667, 31349, 267, 2107, 326, 269, 6314, 269, 4400, 7547, 476, 1220, 278, 267, 4728, 476, 1839, 563, 20486, 593, 5029, 665, 520, 4519, 454, 2704, 3691, 19816, 7137, 7719, 1088, 267, 4498, 12245, 6182, 7238, 3455, 454, 26773, 16225, 267, 476, 24496, 9664, 454, 5575, 9990, 267, 476, 1220, 276, 454, 25835, 281, 476, 274, 268, 276, 2767, 268, 25134, 1704, 268, 274, 910, 25067, 13305, 6224, 454, 4942, 6664, 1794, 2940, 623, 275, 2389, 31807, 3927, 10776, 8240, 513, 7576, 30858, 18839, 5114, 540, 17576, 1673, 604, 1663, 19660, 1779, 25333, 609, 11337, 2940, 521, 1176, 331, 21449, 1023, 896, 7646, 2175, 547, 1683, 1395, 1993, 1663, 19660, 1779, 25333, 28429, 606, 12659, 20293, 21666, 2643, 332, 14007, 1895, 538, 1164, 11729, 609, 1164, 2098, 2824, 8481, 563, 288, 269, 918, 1180, 2129, 267, 918, 269, 918, 18649, 267, 631, 269, 6833, 3385, 267, 2107, 326, 269, 32731, 1421, 476, 1001, 280, 267, 476, 2641, 267, 476, 25375, 278, 268, 25248, 271, 563, 763, 8485, 1794, 2940, 3490, 645, 4932, 303, 10776, 8240, 606, 703, 1090, 12817, 8652, 600, 9179, 540, 4412, 1173, 344, 997, 23443, 553, 547, 1683, 708, 573, 1794, 13521, 514, 268, 273, 268, 2158, 543, 708, 573, 1794, 565, 268, 273, 268, 2158, 609, 5140, 2447, 334, 268, 543, 1036, 328, 846, 937, 8481, 896, 19355, 2175, 543, 2110, 5114, 2053, 563, 288, 269, 16629, 333, 10620, 267, 589, 269, 3131, 337, 821, 267, 623, 269, 623, 269, 631, 1794, 2763, 334, 267, 589, 269, 645, 659, 14024, 267, 681, 269, 2494, 322, 639, 334, 267, 645, 269, 18637, 4471, 548, 267, 681, 269, 7395, 22080, 267, 717, 269, 631, 269, 661, 269, 631, 2714, 328, 267, 589, 269, 853, 26325, 267, 715, 269, 667, 7578, 6970, 3299, 808, 269, 2107, 326, 269, 6314, 1421, 476, 1001, 280, 267, 476, 10019, 267, 476, 31003, 278, 268, 4097, 280, 271, 563, 288, 2189, 4999, 540, 5214, 27857, 8992, 519, 4483, 540, 9211, 543, 7250, 8444, 538, 513, 7646, 267, 22606, 267, 543, 4052, 1463, 8652, 776, 3175, 540, 24064, 2643, 993, 710, 16755, 609, 513, 2647, 2039, 540, 513, 787, 331, 10300, 1938, 630, 10175, 513, 787, 331, 8392, 1938, 1040, 901, 2489, 543, 3810, 2447, 846, 29193, 7014, 20205, 513, 3376, 2039, 540, 513, 787, 548, 628, 2643, 8533, 2472, 609, 2347, 1036, 328, 665, 2632, 1503, 563, 288, 269, 808, 269, 15196, 15838, 267, 595, 269, 623, 269, 1530, 987, 267, 589, 269, 631, 269, 2098, 792, 325, 1601, 267, 2098, 269, 2473, 340, 267, 715, 269, 570, 269, 4236, 328, 267, 808, 269, 2549, 269, 6314, 269, 17502, 1421, 476, 1001, 280, 267, 476, 15221, 267, 476, 29300, 278, 268, 25870, 274, 563, 288, 670, 279, 1532, 514, 7469, 628, 2643, 30499, 8280, 529, 638, 541, 29524, 18463, 18965, 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 ]

[ 1079, 21758, 1449, 723, 1079, 2565, 2418, 780, 2162, 1548, 568, 519, 2565, 1871, 585, 513, 476, 272, 4644, 1377, 2496, 763, 1034, 4122, 1031, 4644, 1377, 568, 14668, 815, 476, 271, 269, 4962, 269, 1280, 513, 1079, 21758, 1449, 267, 649, 12337, 476, 272, 1107, 14668, 270, 273, 267, 610, 476, 272, 1107, 476, 271, 269, 4962, 270, 273, 815, 476, 271, 269, 280, 4037, 950, 14668, 815, 476, 271, 269, 4962, 269, 1403, 519, 6207, 1871, 540, 519, 1449, 18802, 568, 3152, 982, 519, 2565, 1871, 630, 271, 269, 280, 4037, 1070, 1287, 649, 7947, 519, 14275, 8367, 780, 2162, 1548, 1281, 519, 2565, 1871, 4096, 593, 2496, 763, 2565, 2418, 4096, 593, 519, 2470, 540, 519, 14275, 8367, 267, 519, 10386, 3892, 10039, 267, 543, 519, 4644, 1377, 540, 513, 269, 519, 5506, 540, 3478, 513, 1871, 540, 519, 1449, 18802, 602, 568, 693, 2547, 607, 3665, 607, 519, 835, 8204, 519, 3732, 1239, 267, 14322, 602, 519, 14275, 8367, 568, 3020, 780, 2162, 1548, 9498, 4971, 1131, 594, 946, 547, 1265, 519, 2565, 1871, 585, 513, 476, 4200, 260, 6015, 8884, 2496, 5472, 596, 723, 547, 798, 568, 5031, 595, 3201, 290, 8085, 12442, 543, 2046, 13673, 9898, 269, 1924, 938, 476, 4200, 260, 6015, 8884, 568, 630, 1556, 269, 1626, 267, 476, 1704, 269, 2190, 6393, 2162, 1548, 568, 1377, 540, 4644, 609, 1383, 2496, 763, 4644, 1377, 267, 849, 20922, 607, 13672, 610, 14668, 267, 568, 519, 5506, 540, 7947, 532, 519, 14275, 8367, 950, 621, 568, 3020, 269, 1280, 1383, 267, 513, 4644, 1377, 540, 476, 271, 269, 4962, 6920, 513, 476, 276, 260, 1981, 540, 25759, 602, 513, 3017, 6818, 950, 972, 568, 1100, 4890, 3017, 780, 2162, 1215, 798, 596, 3313, 519, 1377, 540, 4644, 538, 513, 8367, 1449, 2496, 763, 1377, 540, 4644, 568, 519, 5506, 602, 649, 7947, 519, 14275, 8367, 630, 514, 3870, 540, 519, 4244, 264, 950, 621, 568, 2965, 3020, 543, 568, 849, 1572, 519, 7392, 594, 5470, 2557, 269, 14668, 815, 5426, 540, 4644, 815, 623, 263, 13911, 594, 5470, 264, 815, 623, 263, 3725, 915, 670, 271, 1923, 670, 271, 568, 3020, 1040, 5221, 14668, 568, 513, 5506, 267, 621, 9832, 1063, 476, 271, 543, 476, 272, 780, 2162, 1215, 798, 596, 1265, 519, 4397, 4908, 540, 513, 3732, 2496, 20412, 730, 676, 14921, 519, 2680, 779, 5506, 676, 519, 1297, 540, 28197, 267, 552, 3052, 269, 12902, 513, 476, 277, 593, 513, 1297, 13306, 538, 8938, 21144, 7140, 281, 4397, 4908, 815, 476, 272, 270, 277, 1535, 476, 2190, 815, 476, 275, 269, 0, 13425, 17918, 11833, 17423, 3004, 14982, 585, 519, 26257, 3427, 17423, 1234, 548, 1162, 4179, 2517, 326, 3901, 743, 889, 2593, 270, 7343, 9199, 1188, 692, 898, 568, 4867, 476, 3066, 2904, 476, 1001, 278, 267, 476, 6734, 281, 876, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 3113, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 454, 12041, 24606, 454, 10048, 4526, 454, 16274, 281, 476, 5881, 4119, 476, 1001, 272, 454, 15803, 281, 476, 6812, 454, 3519, 1417, 1674, 281, 29661, 1222, 267, 16010, 454, 294, 5183, 281, 476, 274, 269, 9262, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 2641, 1496, 271, 3910, 2016, 281, 476, 272, 692, 2162, 8058, 16193, 692, 6021, 4119, 476, 1001, 272, 267, 476, 1321, 281, 4097, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 10695, 260, 630, 4905, 281, 6021, 264, 2953, 476, 1704, 260, 630, 6349, 281, 2767, 264, 4636, 1759, 593, 476, 277, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 11039, 267, 594, 1185, 513, 2731, 1390, 6516, 1500, 909, 267, 855, 621, 786, 711, 1577, 803, 2022, 621, 2439, 15368, 1227, 267, 594, 1031, 1079, 1318, 12730, 609, 1634, 5011, 540, 476, 4968, 543, 476, 6110, 269, 634, 5492, 523, 4926, 2196, 689, 2473, 547, 962, 269, 1403, 596, 4194, 585, 519, 5492, 523, 4926, 267, 789, 616, 476, 4335, 3299, 1927, 789, 1118, 519, 3845, 689, 2473, 547, 962, 476, 1911, 271, 262, 780, 310, 880, 594, 1223, 8936, 1250, 8666, 2336, 314, 3725, 557, 531, 316, 1975, 334, 8814, 281, 29314, 454, 14483, 9906, 454, 16274, 281, 476, 6349, 4119, 476, 1001, 272, 454, 15803, 281, 476, 4510, 454, 3519, 1417, 1674, 281, 16010, 267, 16195, 454, 29479, 476, 272, 281, 476, 16020, 1627, 2004, 966, 5655, 454, 294, 5183, 281, 476, 274, 269, 275, 454, 25446, 281, 8890, 560, 630, 8256, 738, 532, 994, 27063, 281, 476, 271, 692, 20132, 19560, 476, 1321, 1496, 271, 3910, 2016, 281, 476, 274, 692, 2162, 8058, 16193, 692, 6021, 4119, 476, 1001, 272, 267, 476, 1321, 281, 7871, 454, 20482, 337, 13718, 273, 7161, 7532, 630, 6110, 343, 273, 815, 476, 8517, 994, 274, 7161, 5087, 630, 1220, 343, 274, 815, 476, 7785, 994, 19136, 3170, 1318, 6906, 2094, 782, 10754, 2196, 5087, 5045, 610, 7532, 7178, 269, 2422, 533, 17233, 11501, 780, 279, 317, 273, 1341, 476, 277, 317, 273, 815, 476, 1911, 454, 6912, 1911, 815, 476, 1015, 563, 1015, 265, 1911, 815, 476, 1911, 271, 454, 289, 454, 17445, 528, 454, 16274, 281, 476, 4905, 4924, 476, 1001, 272, 454, 15803, 281, 476, 4037, 276, 454, 27063, 281, 476, 1691, 692, 20132, 19560, 476, 10219, 1496, 271, 3910, 2016, 281, 476, 5655, 692, 2162, 8058, 16193, 692, 2641, 4119, 476, 1001, 272, 267, 476, 1428, 281, 1015, 454, 273, 7161, 593, 7532, 7178, 815, 476, 8517, 454, 274, 7161, 593, 5087, 5045, 815, 476, 7785, 692, 323, 2700, 1063, 2473, 543, 962, 568, 4986, 855, 30494, 540, 713, 1318, 2587, 1194, 6906, 815, 476, 1911, 271, 692, 3725, 281, 3113, 5231, 1496, 258, 21529, 316, 476, 2641, 4119, 476, 1001, 272, 267, 476, 1428, 281, 1015, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 692, 258, 3113, 692, 1007, 1888, 2022, 16253, 7726, 8492, 20042, 3733, 3883, 12201, 17352, 12830, 3584, 692, 623, 10062, 676, 943, 335, 17668, 9736, 943, 335, 17668, 6828, 543, 943, 335, 17668, 22048, 9877, 569, 4063, 602, 519, 17918, 10378, 1449, 568, 513, 10805, 22028, 540, 519, 23958, 5004, 1520, 3939, 7027, 10378, 267, 543, 713, 3135, 814, 9444, 1044, 12649, 6862, 31045, 676, 10648, 3722, 10378, 269, 0, 1892, 5851, 454, 1892, 1315, 454, 1892, 1315, 454, 1892, 4569, 630, 307, 8980, 2567, 15233, 4197, 540, 590, 1938, 543, 27449, 540, 12443, 326, 976, 692, 258, 4569, 630, 307, 8980, 2567, 15233, 4197, 540, 590, 1938, 543, 27449, 540, 12443, 326, 976, 692, 2162, 21909, 539, 5384, 31108, 281, 476, 277, 19019, 531, 17963, 692, 7462, 10312, 23140, 16775, 454, 1892, 476, 278, 269, 276, 288, 2489, 1125, 519, 2565, 10305, 540, 16726, 267, 1519, 12753, 1369, 543, 1063, 2147, 5546, 1109, 22829, 994, 1892, 476, 278, 269, 276, 290, 4194, 6310, 543, 1483, 8996, 2042, 5473, 1109, 13678, 1791, 3337, 30548, 1109, 29173, 12400, 1109, 27562, 994, 25147, 519, 1739, 476, 276, 628, 6103, 23140, 16775, 538, 519, 1445, 960, 540, 713, 1770, 607, 1966, 6061, 547, 2689, 891, 16387, 2035, 585, 5254, 288, 2752, 4152, 780, 12218, 1518, 476, 273, 5937, 22955, 630, 295, 1512, 1105, 625, 2020, 1892, 476, 276, 269, 276, 19665, 1079, 8820, 5515, 538, 513, 15796, 540, 5036, 543, 29162, 1210, 8642, 25696, 1759, 593, 741, 10305, 543, 3601, 269, 1107, 681, 25846, 274, 454, 7462, 32492, 12071, 1890, 23140, 16775, 692, 23330, 725, 12071, 1890, 543, 11724, 532, 13158, 3930, 543, 623, 2075, 757, 692, 1892, 476, 277, 269, 274, 291, 1039, 267, 10208, 267, 9062, 267, 543, 7941, 9981, 2770, 1836, 630, 305, 994, 1892, 476, 277, 269, 274, 292, 9062, 543, 7941, 2318, 7787, 2338, 2770, 1836, 630, 305, 994, 1892, 476, 277, 269, 275, 292, 2099, 12753, 543, 25576, 757, 609, 6405, 3631, 267, 8454, 267, 543, 17447, 630, 306, 994, 7462, 9454, 531, 5623, 23140, 16775, 692, 18800, 25732, 27449, 689, 570, 8980, 6103, 476, 275, 692, 1892, 476, 275, 269, 278, 290, 3313, 519, 16977, 3800, 540, 7285, 538, 5232, 547, 519, 14282, 2898, 1297, 1210, 513, 1486, 847, 528, 282, 1107, 681, 25846, 274, 454, 1892, 476, 275, 269, 278, 288, 9414, 519, 2268, 540, 606, 5086, 607, 519, 851, 540, 513, 5858, 4171, 4099, 568, 693, 519, 14584, 540, 519, 5086, 602, 568, 968, 12827, 856, 892, 676, 519, 12345, 540, 519, 5086, 269, 24234, 3800, 616, 3908, 547, 2898, 2338, 282, 1107, 24857, 454, 1892, 476, 275, 269, 278, 289, 9414, 5232, 607, 519, 4559, 1031, 547, 2268, 606, 5086, 267, 1141, 476, 272, 270, 11740, 540, 1022, 5858, 568, 835, 4110, 543, 606, 5086, 602, 968, 25797, 892, 562, 270, 11740, 856, 540, 1022, 5858, 4171, 4099, 568, 693, 519, 5086, 779, 14584, 814, 513, 2268, 540, 562, 5232, 269, 24234, 3800, 616, 3908, 547, 2898, 2338, 282, 1107, 24857, 454, 1892, 476, 275, 269, 278, 291, 2721, 606, 5086, 609, 513, 2016, 2268, 282, 1107, 590, 25846, 274, 454, 1892, 476, 275, 269, 278, 292, 3313, 519, 2268, 540, 606, 7164, 5086, 4646, 676, 1079, 1875, 27492, 331, 6260, 11105, 7285, 2016, 835, 610, 1312, 5086, 3800, 269, 1107, 590, 25846, 274, 1496, 10175, 14911, 543, 24045, 7285, 316, 0, 258, 623, 6346, 589, 267, 645, 543, 595, 666, 6445, 513, 7382, 538, 476, 1428, 267, 476, 1789, 543, 476, 2412, 3108, 267, 6606, 269, 623, 6346, 589, 267, 645, 543, 595, 616, 8118, 693, 476, 277, 513, 6230, 1421, 476, 279, 513, 6230, 269, 543, 476, 1015, 513, 6230, 1421, 6606, 267, 593, 519, 1482, 1554, 269, 1879, 786, 519, 7382, 581, 2407, 2496, 10403, 6657, 2060, 4530, 1504, 631, 1442, 18873, 692, 1012, 18169, 1384, 272, 269, 476, 1556, 281, 736, 533, 6230, 780, 273, 269, 476, 274, 281, 736, 533, 6230, 780, 274, 269, 476, 278, 281, 736, 533, 6230, 780, 275, 269, 476, 276, 281, 736, 533, 6230, 780, 2162, 22043, 8382, 281, 26840, 476, 273, 630, 11405, 12989, 2020, 1607, 2243, 729, 5892, 4280, 538, 692, 7704, 290, 8713, 302, 19881, 7433, 476, 4391, 630, 13900, 323, 2201, 281, 476, 2190, 5437, 476, 1708, 271, 29196, 476, 273, 2020, 1012, 8827, 1384, 11693, 1384, 288, 7382, 568, 4904, 676, 12992, 589, 267, 645, 267, 595, 538, 476, 1428, 267, 476, 1789, 267, 543, 476, 2412, 3108, 6606, 692, 288, 267, 645, 267, 595, 616, 8118, 693, 476, 277, 993, 2073, 476, 279, 993, 543, 476, 1015, 993, 6606, 692, 15612, 566, 1384, 303, 6559, 589, 6445, 519, 7382, 538, 476, 1428, 3108, 692, 303, 6559, 589, 6445, 519, 7382, 538, 476, 272, 3108, 815, 476, 272, 270, 1428, 692, 303, 6559, 645, 6445, 519, 7382, 538, 476, 1789, 3108, 692, 303, 6559, 645, 6445, 519, 7382, 538, 476, 272, 5662, 815, 476, 272, 270, 1789, 692, 303, 6559, 595, 6445, 519, 7382, 538, 476, 2412, 5662, 692, 303, 6559, 595, 6445, 519, 7382, 538, 476, 272, 5662, 815, 476, 272, 270, 2412, 692, 303, 6559, 589, 960, 2944, 2094, 621, 568, 8118, 693, 476, 277, 993, 547, 476, 1015, 993, 1775, 4318, 585, 476, 275, 3108, 692, 10190, 2073, 10612, 589, 1568, 538, 476, 275, 3108, 815, 476, 272, 270, 1428, 1109, 9943, 476, 275, 815, 476, 275, 270, 1428, 692, 20118, 267, 623, 6559, 645, 1568, 2944, 2094, 621, 568, 8118, 547, 476, 279, 993, 547, 476, 1015, 993, 1775, 4318, 585, 476, 273, 3108, 692, 10190, 267, 10612, 589, 1568, 585, 476, 273, 3108, 815, 476, 272, 270, 1789, 1109, 9943, 476, 273, 815, 476, 273, 270, 1789, 692, 13707, 960, 2944, 689, 476, 277, 993, 547, 476, 1015, 993, 815, 476, 275 ]

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

[ 267, 1509, 267, 562, 910, 11113, 5157, 7481, 2018, 952, 544, 13843, 476, 271, 543, 759, 2652, 910, 272, 610, 630, 332, 13843, 476, 271, 543, 544, 1341, 476, 272, 2999, 759, 2187, 3546, 759, 815, 544, 1341, 476, 272, 454, 1038, 952, 759, 13843, 476, 271, 912, 2018, 1509, 19559, 316, 815, 759, 454, 1038, 3116, 912, 2018, 1509, 19559, 316, 815, 910, 272, 454, 1038, 2132, 759, 692, 825, 1219, 11777, 27087, 5334, 1828, 4311, 267, 11113, 281, 5903, 27776, 3910, 2179, 281, 703, 264, 9847, 703, 912, 1038, 11113, 31699, 263, 516, 2091, 18989, 994, 1038, 1582, 269, 637, 815, 476, 273, 2878, 476, 4029, 910, 476, 272, 454, 1038, 7003, 322, 815, 7003, 263, 23915, 2020, 1038, 1219, 25961, 263, 9690, 267, 1964, 300, 2292, 267, 1293, 2187, 2018, 952, 711, 1964, 300, 2292, 912, 3546, 1582, 269, 637, 815, 1295, 6262, 870, 267, 1582, 269, 637, 994, 2018, 585, 1775, 538, 2039, 263, 9690, 267, 7003, 322, 2187, 3546, 952, 11113, 5157, 316, 10922, 1964, 300, 2292, 2999, 11113, 5157, 316, 2608, 630, 1345, 269, 637, 910, 1293, 2187, 7386, 25961, 9217, 267, 1964, 300, 2292, 910, 11113, 5157, 3910, 1293, 1341, 476, 272, 2020, 1038, 585, 1775, 538, 2039, 12759, 322, 2187, 2018, 25961, 9217, 267, 2179, 267, 476, 271, 2020, 1038, 2132, 1582, 269, 637, 952, 1582, 269, 637, 2999, 476, 273, 2878, 476, 4029, 910, 476, 272, 3116, 910, 272, 692, 825, 1219, 11777, 27087, 273, 4311, 267, 11113, 267, 2179, 2187, 1038, 952, 2179, 2652, 476, 271, 912, 2018, 2132, 476, 271, 692, 1038, 952, 2179, 2999, 1295, 263, 23915, 2187, 2018, 2132, 910, 272, 692, 1038, 31185, 815, 30585, 272, 316, 16732, 26920, 266, 272, 994, 1038, 31185, 314, 271, 316, 815, 476, 271, 692, 1038, 585, 11777, 538, 11113, 912, 2018, 31185, 314, 8314, 316, 815, 476, 272, 692, 1038, 585, 1775, 538, 2039, 263, 272, 267, 2179, 266, 272, 2187, 2018, 585, 11777, 538, 11113, 912, 3546, 952, 1775, 13843, 11777, 543, 31185, 5157, 268, 8314, 316, 3436, 476, 271, 912, 7386, 952, 31185, 5157, 316, 2999, 476, 271, 912, 13376, 31185, 5157, 316, 815, 31185, 5157, 268, 8314, 27994, 272, 454, 7386, 3116, 912, 13376, 31185, 5157, 316, 815, 1295, 5560, 335, 5157, 3910, 31185, 5157, 268, 8314, 27994, 272, 994, 1038, 2132, 31185, 15631, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 1151, 815, 8827, 4590, 825, 1505, 815, 1151, 269, 8314, 27087, 273, 692, 825, 2665, 815, 1496, 454, 1038, 630, 24709, 267, 630, 314, 272, 267, 476, 273, 267, 476, 276, 3910, 476, 1556, 1070, 476, 274, 13211, 1038, 630, 24709, 267, 630, 314, 273, 3910, 476, 274, 1070, 910, 272, 13211, 1038, 630, 24709, 267, 630, 314, 272, 3910, 476, 271, 1070, 476, 271, 13211, 1038, 630, 24709, 267, 630, 314, 273, 3910, 476, 272, 1070, 910, 272, 13211, 1038, 630, 24709, 267, 630, 314, 273, 267, 276, 267, 272, 3910, 476, 277, 1070, 476, 273, 13211, 825, 476, 6540, 825, 585, 1775, 267, 630, 325, 15635, 267, 2013, 267, 4397, 264, 538, 26246, 6262, 1162, 2187, 1038, 20735, 815, 30775, 28949, 13826, 994, 1038, 952, 20735, 2652, 4397, 912, 2018, 1820, 2891, 19111, 2715, 281, 323, 348, 10426, 539, 2668, 8971, 9217, 1341, 476, 272, 4917, 1038, 3116, 912, 2018, 1820, 2891, 19111, 2715, 281, 323, 348, 674, 9229, 282, 1401, 4624, 2715, 281, 338, 348, 11203, 2715, 281, 338, 348, 2668, 8971, 9217, 1341, 476, 272, 267, 1193, 263, 1410, 4624, 1070, 1193, 263, 753, 30727, 0, 12163, 279, 4792, 780, 8469, 1756, 7531, 11693, 513, 9352, 3529, 12082, 693, 3597, 267, 519, 3178, 540, 1142, 6843, 568, 519, 20125, 3845, 547, 519, 3597, 780, 288, 6843, 568, 27811, 952, 621, 814, 519, 4102, 3178, 2009, 1851, 1022, 6843, 538, 519, 3003, 3529, 780, 763, 5705, 872, 540, 513, 6843, 568, 602, 6843, 267, 7132, 519, 1305, 540, 782, 18939, 540, 602, 6843, 780, 27987, 519, 6843, 609, 519, 4102, 3178, 971, 602, 621, 3568, 782, 519, 27811, 9136, 538, 922, 5705, 872, 780, 19152, 281, 1496, 274, 267, 276, 267, 272, 267, 277, 267, 273, 267, 271, 267, 279, 19885, 1638, 19885, 1638, 267, 278, 267, 275, 2639, 20479, 281, 1496, 273, 267, 278, 267, 275, 6540, 1001, 280, 269, 278, 269, 3066, 692, 20701, 5228, 10070, 1104, 3957, 14654, 921, 454, 5228, 1325, 2998, 269, 583, 1988, 6745, 872, 1104, 2608, 7531, 5035, 8827, 24998, 2187, 825, 1219, 5705, 872, 4415, 5472, 28308, 652, 5334, 1828, 4311, 267, 3597, 2187, 1038, 1948, 634, 1267, 540, 513, 5705, 872, 568, 912, 1038, 1948, 28088, 8542, 1712, 281, 519, 4102, 3178, 6843, 602, 568, 3160, 547, 610, 454, 1038, 1948, 23526, 606, 22660, 540, 782, 519, 27811, 9136, 540, 713, 5705, 872, 563, 1038, 1948, 28088, 6155, 626, 281, 519, 1297, 540, 9136, 538, 519, 2619, 689, 519, 3597, 454, 1038, 1948, 23526, 540, 713, 5705, 872, 267, 547, 519, 27811, 6843, 538, 713, 5705, 872, 563, 1038, 28088, 815, 3957, 14654, 921, 2891, 4910, 738, 2580, 9497, 27161, 2580, 834, 23251, 8442, 2020, 1038, 1219, 546, 12028, 27316, 2187, 2018, 1948, 17776, 519, 1267, 540, 519, 5705, 872, 693, 713, 6843, 563, 2018, 952, 711, 6843, 281, 2132, 28088, 263, 14085, 267, 476, 271, 994, 2018, 700, 267, 681, 815, 546, 12028, 27316, 16000, 1070, 546, 12028, 27316, 16192, 994, 2018, 952, 700, 6155, 626, 3436, 681, 6155, 626, 281, 2132, 28088, 27331, 8542, 1712, 267, 700, 6155, 626, 1341, 476, 272, 994, 2018, 952, 700, 6155, 626, 2999, 681, 6155, 626, 281, 2132, 28088, 27562, 8542, 1712, 267, 681, 6155, 626, 1341, 476, 272, 994, 2018, 2132, 28088, 27316, 267, 700, 6155, 626, 1341, 476, 272, 2020, 1038, 2132, 546, 12028, 20172, 1040, 27161, 692, 825, 1219, 5705, 872, 4415, 5472, 28308, 652, 4311, 267, 3597, 17107, 1038, 1219, 4463, 27316, 2187, 2018, 952, 711, 6843, 912, 3546, 2132, 476, 271, 692, 2018, 561, 815, 4463, 27316, 16000, 994, 2018, 678, 815, 4463, 27316, 16192, 994, 2018, 6843, 269, 19417, 815, 3193, 10857, 267, 678, 264, 1341, 476, 272, 454, 2018, 2132, 6843, 269, 19417, 692, 1038, 1219, 25961, 27316, 2187, 2018, 952, 711, 6843, 912, 3546, 2132, 692, 2018, 2451, 815, 25961, 27316, 16000, 994, 2018, 1318, 815, 25961, 27316, 16192, 2020, 2018, 952, 711, 2451, 543, 711, 1318, 912, 3546, 2132, 6843, 454, 2018, 8640, 2451, 543, 711, 1318, 912, 3546, 2132, 2451, 454, 2018, 8640, 1318, 543, 711, 2451, 912, 3546, 2132, 1318, 454, 2018, 3116, 912, 3546, 952, 6843, 16000, 269, 19417, 3436, 6843, 16192, 269, 19417, 912, 7386, 2132, 2451, 454, 3546, 8640, 6843, 16000, 269, 19417, 2999, 6843, 16192, 269, 19417, 912, 7386, 2132, 1318, 454, 3546, 3116, 912, 7386, 2132, 6843, 692, 1038, 4463, 20172, 994, 1038, 2132, 25961, 20172, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 2018, 1151, 815, 8827, 4590, 2018, 1505, 815, 1151, 16553, 29728, 4415, 5472, 28308, 652, 692, 2018, 3529, 272, 815, 964, 518, 658, 1125, 3488, 314, 274, 267, 272, 267, 275, 19885, 1638, 267, 273, 316, 5073, 2018, 3529, 273, 815, 964, 518, 658, 1125, 3488, 314, 276, 267, 274, 267, 277, 267, 273, 267, 275, 19885, 1638, 19885, 1638, 267, 272, 316, 17210, 2018, 2665, 815, 1496, 454, 3546, 630, 24709, 267, 630, 29728, 272, 267, 1070, 476, 273, 13211, 3546, 630, 24709, 267, 630, 29728, 273, 267, 1070, 476, 274, 13211, 2018, 476, 6540, 2018, 585, 1775, 267, 630, 325, 15635, 267, 2013, 267, 4397, 264, 538, 26246, 6262, 1162, 2187, 3546, 20735, 815, 30775, 28949, 13826, 994, 3546, 952, 20735, 2652, 4397, 912, 7386, 1820, 2891, 19111, 2715, 281, 323, 348, 10426, 539, 2668, 8971, 9217, 1341, 476, 272, 4917, 3546, 3116, 912, 7386, 1820, 2891, 19111, 2715, 281, 323, 348, 674, 9229, 282, 1401, 4624, 2715, 281, 338, 348, 11203, 2715, 281, 338, 348, 2668, 8971, 9217, 1341, 476, 272, 267, 1193, 263, 1410, 4624, 1070, 1193, 263, 753, 30727, 0, 12163, 311, 568, 513, 1434, 1297, 952, 1310, 15914, 1142, 7857, 14350, 676, 476, 5197, 5232, 2676, 933, 1205, 513, 4570, 1297, 602, 568, 1114, 689, 2473, 269, 476, 3962, 7857, 1590, 581, 29352, 910, 649, 3112, 3442, 547, 4734, 621, 4805, 780, 288, 1297, 568, 4570, 952, 1142, 7857, 3788, 513, 7857, 1310, 10047, 269, 476, 271, 267, 476, 272, 267, 543, 476, 279, 17967, 547, 2933, 3248, 273, 543, 476, 276, 17967, 547, 1142, 824, 282, 476, 277, 543, 476, 280, 17967, 547, 1142, 824, 2676, 663, 519, 1964, 540, 519, 2338, 798, 711, 17967, 547, 1022, 824, 1297, 543, 1831, 23380, 780, 3086, 2016, 513, 2318, 1297, 715, 267, 875, 1082, 2338, 2473, 689, 476, 272, 547, 715, 616, 1434, 2496, 7078, 912, 19152, 281, 476, 1015, 454, 20479, 281, 476, 275, 454, 15008, 912, 2467, 616, 2185, 1434, 2338, 538, 519, 2039, 1496, 272, 267, 476, 1015, 316, 2433, 476, 273, 267, 476, 276, 267, 476, 277, 267, 476, 280, 563, 9616, 602, 476, 272, 543, 476, 1015, 616, 711, 1434, 2338, 267, 2094, 789, 2611, 24240, 1310, 15914, 563, 9616, 1384, 301, 476, 786, 581, 538, 2039, 1496, 272, 267, 476, 1911, 876, 14073, 692, 20701, 454, 5035, 8827, 912, 825, 1219, 17967, 20311, 4311, 267, 562, 2187, 1038, 29185, 1038, 2433, 12407, 562, 281, 568, 606, 8870, 454, 1038, 2433, 8873, 281, 519, 1297, 1310, 10047, 454, 1038, 8173, 1038, 32186, 815, 13634, 2018, 476, 271, 281, 476, 271, 2676, 2018, 476, 272, 281, 476, 272, 2676, 2018, 476, 273, 281, 476, 276, 2676, 2018, 476, 274, 281, 7183, 2676, 2018, 476, 275, 281, 7183, 2676, 2018, 476, 276, 281, 476, 273, 2676, 2018, 476, 277, 281, 476, 280, 2676, 2018, 476, 278, 281, 7183, 2676, 2018, 476, 279, 281, 476, 279, 2676, 2018, 476, 280, 281, 476, 277, 454, 1038, 7684, 454, 1038, 1193, 5332, 815, 11713, 1038, 585, 521, 538, 1193, 3799, 2187, 2018, 952, 32186, 27776, 4433, 13580, 568, 7183, 912, 3546, 2132, 7183, 454, 2018, 3116, 912, 3546, 1193, 5332, 6910, 19304, 263, 8527, 725, 27776, 4433, 264, 8079, 2020, 1038, 2132, 703, 2891, 2668, 21860, 19304, 5332, 264, 9239, 825, 1219, 29352, 14707, 1080, 4311, 267, 715, 2187, 1038, 8173, 1038, 2433, 6943, 715, 281, 703, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 29185, 1038, 1267, 815, 476, 271, 454, 1038, 585, 562, 538, 2039, 263, 272, 267, 715, 266, 272, 2187, 2018, 17967, 815, 1582, 269, 8527, 622, 20311, 3799, 994, 2018, 952, 17967, 543, 562, 11203, 17967, 912, 3546, 1267, 6834, 476, 272, 454, 1038, 2132, 1267, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1151, 815, 8827, 4590, 825, 2665, 815, 1496, 454, 1038, 630, 1015, 267, 476, 275, 13211, 1038, 630, 273, 267, 476, 272, 13211, 1038, 630, 5952, 278, 267, 476, 26316, 9239, 825, 476, 6540, 825, 1948, 1820, 4433, 565, 269, 8527, 622, 20311, 263, 5952, 278, 11723, 825, 585, 524, 538, 2665, 912, 1038, 7682, 1151, 269, 8527, 730, 14707, 1080, 6262, 314, 271, 8079, 2652, 524, 314, 272, 3910, 630, 338, 565, 269, 8527, 730, 14707, 1080, 6262, 314, 271, 25818, 524, 314, 272, 7481 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 855, 621, 666, 7794, 519, 6091, 1472, 707, 12597, 269, 29303, 568, 849, 513, 1970, 27780, 716, 2534, 602, 666, 7794, 519, 6091, 1472, 519, 12597, 563, 5194, 3635, 602, 18791, 519, 12597, 568, 1850, 12651, 269, 1635, 14084, 593, 707, 1394, 267, 596, 666, 6318, 707, 2786, 1850, 3670, 6279, 1055, 519, 6989, 269, 15579, 585, 2947, 7643, 543, 10956, 4557, 2053, 269, 1411, 666, 849, 946, 21721, 12035, 547, 7794, 707, 19704, 269, 634, 12035, 666, 581, 476, 276, 6550, 610, 4130, 269, 29303, 23651, 666, 849, 581, 2500, 538, 14304, 519, 8423, 1598, 902, 563, 763, 1034, 1271, 3364, 547, 798, 950, 16706, 568, 6432, 547, 707, 1560, 269, 5213, 1406, 936, 4777, 621, 267, 607, 713, 666, 1118, 707, 1928, 8338, 269, 3680, 3257, 1164, 27780, 716, 5751, 899, 838, 11781, 532, 610, 28185, 3101, 267, 1317, 596, 1223, 3614, 675, 3054, 2417, 269, 1403, 596, 1810, 1406, 1745, 6899, 609, 513, 15904, 267, 2119, 16706, 538, 1216, 269, 634, 26255, 3599, 540, 1216, 786, 1491, 930, 540, 519, 2566, 1055, 707, 10549, 267, 543, 713, 786, 1118, 707, 19704, 1745, 1732, 563, 1692, 1684, 594, 13363, 3733, 918, 928, 525, 593, 606, 11644, 645, 833, 888, 298, 26234, 7063, 616, 835, 540, 519, 1034, 1455, 20286, 1851, 1004, 945, 3635, 269, 1358, 3335, 2049, 607, 513, 1267, 540, 936, 2224, 543, 16625, 20517, 269, 1358, 666, 849, 581, 3361, 676, 15779, 5945, 267, 8377, 267, 610, 824, 2188, 269, 769, 2901, 2013, 267, 1697, 14317, 568, 2556, 269, 18641, 267, 606, 3635, 11332, 568, 513, 10375, 1259, 547, 2232, 543, 2061, 12597, 2042, 563, 2691, 1210, 606, 3635, 11332, 267, 519, 521, 18150, 1058, 581, 17479, 693, 513, 6899, 4463, 585, 707, 1560, 269, 1403, 519, 521, 18150, 568, 1932, 1164, 610, 1932, 1970, 267, 596, 1981, 2269, 1456, 707, 19704, 269, 769, 1931, 547, 2057, 5945, 267, 1118, 2386, 596, 946, 1697, 1106, 269, 1280, 1383, 267, 1697, 1106, 1797, 602, 519, 10160, 540, 519, 11332, 1058, 1964, 593, 519, 12048, 5642, 950, 7555, 269, 1879, 14964, 267, 707, 7953, 1058, 581, 6905, 609, 513, 13581, 18846, 693, 519, 12597, 563, 6524, 3478, 593, 519, 3635, 11332, 267, 621, 779, 1271, 547, 1685, 513, 3636, 5346, 6296, 269, 898, 779, 1271, 547, 1376, 7444, 543, 1628, 909, 707, 3432, 7930, 269, 1635, 1574, 532, 883, 519, 15904, 267, 596, 786, 2333, 707, 1560, 779, 1973, 2095, 543, 2087, 707, 8112, 543, 2039, 540, 5163, 563, 1692, 1684, 594, 13363, 3733, 918, 928, 525, 1879, 20676, 532, 888, 290, 5670, 532, 568, 513, 1390, 1106, 540, 3635, 267, 855, 621, 666, 581, 3226, 5739, 585, 707, 19704, 952, 596, 2461, 711, 6297, 269, 898, 779, 1271, 547, 7930, 2333, 519, 2179, 540, 942, 596, 4783, 538, 1931, 547, 2057, 3614, 1005, 707, 19704, 269, 20676, 532, 568, 513, 1164, 14617, 20659, 2534, 267, 543, 621, 779, 849, 4443, 593, 707, 19704, 543, 10549, 982, 1034, 824, 3029, 540, 3635, 269, 1677, 2149, 707, 19704, 1247, 15203, 267, 596, 1058, 3636, 909, 707, 10549, 1101, 676, 3257, 9543, 267, 3500, 15198, 269, 1411, 666, 1287, 7930, 2333, 519, 8515, 540, 707, 15203, 267, 607, 596, 1745, 6899, 563, 763, 1101, 1900, 547, 7863, 707, 19704, 1247, 15203, 568, 547, 1118, 2386, 596, 1832, 707, 1714, 28647, 2786, 543, 5594, 18761, 269, 898, 779, 849, 1271, 547, 1832, 707, 1394, 2786, 547, 2061, 707, 1394, 689, 1327, 6362, 269, 1403, 707, 1394, 568, 19526, 267, 621, 786, 2014, 707, 19704, 547, 12900, 1524, 2072, 269, 901, 666, 1291, 547, 12597, 1928, 543, 606, 16789, 3196, 3892, 538, 707, 19704, 563, 2252, 596, 1995, 1928, 1282, 707, 15203, 3635, 267, 1118, 2386, 596, 1491, 519, 942, 547, 1964, 269, 10266, 666, 581, 606, 2038, 9963, 1129, 540, 513, 3978, 1966, 269, 1411, 1058, 2141, 2119, 547, 2697, 519, 2014, 540, 707, 1928, 865, 602, 596, 666, 3343, 2126, 607, 4166, 607, 2009, 269, 7216, 5868, 568, 1271, 585, 9319, 2417, 7063, 563, 9596, 2859, 3371, 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 ]

[ 0, 6624, 513, 4317, 5525, 4116, 814, 16219, 547, 968, 1962, 532, 1686, 547, 1272, 2223, 855, 519, 1148, 540, 476, 274, 291, 11132, 16646, 2965, 27605, 621, 1055, 676, 6029, 519, 1004, 540, 2221, 1018, 4583, 5515, 6743, 899, 950, 789, 941, 1869, 1851, 519, 2713, 269, 634, 4480, 267, 811, 5265, 5219, 547, 607, 513, 5057, 540, 18837, 19795, 267, 814, 5280, 2413, 12206, 267, 3318, 543, 23153, 7567, 267, 6368, 2097, 3068, 3562, 19904, 609, 930, 540, 519, 1034, 1271, 2043, 538, 1480, 1686, 563, 20288, 14750, 11132, 16646, 3884, 1406, 2653, 267, 2523, 950, 621, 779, 1373, 5340, 593, 1004, 602, 723, 1044, 8854, 585, 5553, 269, 20323, 1031, 547, 948, 2697, 5393, 9178, 539, 1480, 3788, 585, 519, 5301, 540, 7803, 7634, 267, 11132, 16646, 814, 4359, 2484, 2614, 602, 621, 666, 581, 1031, 585, 811, 4081, 18697, 269, 4014, 930, 3140, 5515, 1185, 29147, 968, 1372, 987, 13968, 892, 1500, 602, 1683, 606, 2653, 4358, 1448, 585, 2413, 3744, 267, 11132, 16646, 2356, 3322, 1210, 519, 1480, 15693, 607, 513, 3490, 267, 543, 970, 1905, 565, 908, 21286, 689, 972, 547, 4786, 856, 21483, 2571, 5160, 13307, 2394, 513, 20559, 762, 3068, 5526, 269, 634, 4480, 12346, 593, 2067, 7436, 593, 519, 15693, 602, 5815, 16977, 2571, 5160, 3178, 267, 10213, 18949, 832, 875, 1454, 5160, 547, 4494, 593, 269, 769, 519, 2395, 1354, 5904, 267, 11132, 10411, 15297, 941, 2944, 1928, 560, 1136, 569, 676, 1688, 267, 855, 1007, 2029, 814, 1500, 519, 1184, 1454, 811, 3608, 543, 4977, 269, 898, 779, 711, 513, 3501, 1184, 267, 855, 621, 779, 607, 2673, 607, 1022, 2413, 1268, 568, 2469, 547, 1205, 547, 3168, 3751, 15397, 538, 519, 3068, 563, 307, 583, 1678, 5069, 684, 21581, 281, 13334, 307, 583, 1678, 5069, 684, 630, 26123, 12266, 281, 1000, 339, 21844, 506, 354, 333, 21681, 360, 476, 13799, 393, 501, 19282, 264, 20465, 849, 1634, 676, 519, 5527, 1670, 12332, 15397, 1678, 5069, 523, 630, 23873, 16532, 18949, 539, 1315, 3279, 16659, 11445, 27474, 339, 476, 16659, 390, 499, 320, 27474, 333, 343, 340, 30379, 498, 320, 16659, 2742, 27474, 333, 270, 630, 300, 298, 1070, 630, 322, 269, 476, 16328, 272, 1107, 524, 269, 476, 15171, 274, 7460, 264, 729, 606, 3504, 12266, 943, 21198, 540, 519, 476, 1240, 628, 15913, 630, 337, 27968, 524, 269, 476, 15836, 273, 1107, 476, 15171, 274, 7460, 538, 519, 6671, 12225, 1108, 1070, 1282, 519, 1974, 540, 12266, 1686, 1634, 607, 519, 1715, 8003, 269, 1261, 814, 267, 2094, 519, 6602, 540, 1010, 16856, 19772, 267, 1044, 5219, 547, 30351, 6053, 607, 3751, 15397, 269, 634, 476, 4572, 273, 6602, 676, 20999, 25020, 540, 15397, 1678, 5069, 684, 781, 5176, 16856, 19772, 267, 14102, 676, 7083, 2961, 333, 541, 341, 517, 267, 4607, 5001, 2046, 3795, 269, 898, 17275, 513, 17105, 1857, 1719, 538, 3504, 5527, 267, 585, 799, 15397, 1678, 5069, 684, 781, 9633, 267, 1631, 538, 519, 12266, 7467, 28011, 811, 454, 268, 2605, 2946, 323, 2946, 878, 31839, 12251, 932, 641, 514, 630, 267, 849, 5177, 281, 2073, 2475, 281, 2073, 3943, 281, 1496, 390, 481, 389, 498, 335, 389, 505, 392, 481, 3910, 14470, 281, 1496, 16659, 390, 480, 389, 498, 335, 389, 505, 333, 22049, 476, 272, 4728, 476, 8687, 271, 1107, 476, 1704, 5239, 476, 7277, 280, 264, 729, 513, 14470, 21917, 543, 4075, 340, 657, 334, 32058, 626, 540, 519, 21434, 5736, 945, 5206, 5097, 585, 21088, 14440, 269, 1261, 814, 9738, 5001, 556, 852, 333, 607, 513, 3056, 22459, 540, 1010, 5736, 267, 835, 4171, 834, 17763, 2045, 21184, 729, 1759, 593, 513, 3318, 4480, 602, 729, 1510, 3160, 538, 1010, 5108, 1701, 2419, 641, 514, 729, 4535, 674, 787, 1457, 344, 330, 14731, 345, 2131, 932, 641, 514, 538, 519, 667, 1276, 344, 540, 32160, 543, 8057, 909, 538, 32160, 267, 799, 538, 476, 8687, 276, 2968, 851, 540, 6837, 12996, 269, 589, 1126, 605, 21745, 344, 267, 646, 6192, 1010, 7574, 2069, 543, 7768, 1010, 4505, 1568, 538, 32160, 1354, 6028, 12996, 693, 519, 2085, 540, 476, 736, 267, 1447, 982, 513, 3923, 1354, 519, 12176, 540, 519, 1862, 811, 454, 268, 11473, 281, 13334, 301, 3266, 630, 282, 5824, 281, 715, 3266, 19863, 3780, 19332, 31217, 4436, 16307, 282, 476, 1428, 5412, 476, 4391, 1107, 476, 280, 4873, 476, 6924, 5084, 264, 729, 519, 2063, 4936, 17169, 540, 519, 7325, 1470, 4211, 5055, 644, 1014, 15913, 269, 1261, 729, 7550, 676, 1010, 1390, 10595, 2193, 19863, 3780, 543, 2968, 19863, 3780, 262, 25752, 543, 24288, 269, 6145, 19863, 3780, 267, 715, 3266, 2968, 17169, 609, 519, 9844, 540, 519, 16217, 564, 20187, 15050, 269, 715, 3266, 781, 3993, 267, 3397, 23774, 2088, 519, 8479, 518, 267, 729, 2693, 26582, 538, 19863, 3780, 262, 2669, 543, 715, 3266, 781, 9930, 1588, 607, 17169, 269, 2701, 13856, 715, 3266, 781, 2038, 1272, 543, 3664, 2394, 646, 5641, 1200, 1055, 269, 12866, 1296, 883, 1010, 12081, 267, 646, 1185, 1200, 23689, 6185, 1005, 519, 2038, 1296, 540, 1010, 12081, 267, 715, 3266, 729, 1543, 547, 581, 11461, 676, 1010, 3993, 267, 1010, 20131, 13198, 857, 639, 7788, 30906, 7354, 29132, 267, 543, 1010, 16217, 564, 20187, 840, 2739, 1530, 868, 639, 2279, 3757, 3780, 1862, 811, 454, 268, 30686, 8834, 5576, 340, 6975, 630, 23389, 281, 1496, 16659, 325, 390, 479, 656, 393, 350, 338, 476, 16659, 701, 27474, 339, 389, 494, 476, 16659, 390, 481, 340, 27474, 321, 389, 494, 339, 22049, 476, 4029, 5130, 476, 9692, 278, 1107, 476, 866, 5437, 476, 9264, 279, 264, 729, 606, 22341, 21917, 540, 519, 3735, 18190, 543, 2038, 21434, 21971, 269, 6736, 1010, 2110, 10715, 267, 5576, 340, 6975, 2451, 3297, 513, 5318, 522, 324, 12320, 516, 267, 1519, 811, 982, 476, 7785, 16712, 13047, 1568, 630, 10852, 569, 700, 1221, 518, 1070, 5722, 2347, 1623, 874, 23888, 267, 10723, 2575, 267, 1766, 553, 267, 10071, 531, 2575, 543, 513, 1804, 1560, 540, 14440, 543, 12068, 2575, 269, 3571, 2101, 1568, 1331, 519, 623, 10730, 2372, 842, 564, 538, 589, 2101, 267, 667, 269, 476, 5780, 278, 630, 307, 709, 339, 2372, 842, 564, 1070, 519, 6641, 21620, 3143, 269, 476, 279, 538, 645, 5634, 267, 667, 269, 476, 4037, 280, 630, 4462, 21129, 1639, 6641, 21620, 1070, 519, 1614, 2063, 14440, 5067, 21648, 630, 291, 269, 476, 4817, 279, 1700, 31634, 1070, 519, 22968, 674, 20346, 30944, 630, 291, 269, 476, 8064, 277, 1070, 519, 10071, 531, 2575, 547, 519, 1404, 14472, 600, 1495, 324, 630, 291, 269, 476, 8064, 278, 1070, 543, 519, 5152, 9979, 12603, 11634, 7238, 928, 1862, 811, 0, 299, 665, 1446, 281, 932, 7637, 19092, 1107, 14076, 320, 14076, 320, 932, 7637, 454, 11917, 2091, 318, 5327, 322, 281, 3751, 9849, 667, 14653, 328, 9361, 593, 513, 17599, 267, 595, 29266, 267, 30060, 17689, 269, 1230, 577, 7387, 1985, 547, 519, 2212, 540, 519, 4622, 454, 305, 27654, 5091, 525, 322, 281, 4622, 9361, 593, 519, 6989, 609, 513, 7097, 2542, 14076, 320, 14076, 320, 454, 8448, 318, 24687, 281, 634, 669, 7637, 15913, 12199, 689, 519, 476, 1015, 628, 547, 519, 476, 1724, 628, 5553, 269, 21019, 11113, 941, 21000, 3990, 7136, 320, 543, 4154, 543, 8988, 941, 1634, 607, 918, 1695, 24170, 340, 563, 2026, 2854, 1354, 519, 6532, 1826, 543, 22163, 1826, 666, 581, 13747, 689, 1142, 824, 676, 519, 4527, 610, 711, 540, 513, 524, 29266, 1657, 519, 12440, 540, 11084, 610, 21384, 547, 519, 1318, 540, 519, 7555, 4622, 269, 2201, 519, 6532, 2152, 519, 524, 29266, 568, 15534, 543, 1397, 513, 12440, 540, 2947, 11084, 563, 4002, 519, 22163, 1826, 513, 524, 29266, 568, 3254, 1657, 519, 12440, 540, 11084, 269, 901, 849, 10039, 547, 519, 7601, 2152, 14076, 541, 24652, 932, 7637, 267, 799, 4667, 23223, 2406, 581, 540, 519, 22163, 1826, 563, 763, 1297, 540, 15956, 593, 1346, 7601, 11113, 949, 8428, 267, 855, 789, 782, 1397, 513, 524, 29266, 1657, 269, 3143, 2312, 6532, 15178, 3390, 814, 2479, 1044, 4080, 543, 4440, 789, 14201, 1406, 13351, 693, 602, 942, 607, 972, 729, 1100, 6805, 7601, 11777, 13351, 593, 519, 6532, 2901, 563, 4415, 519, 11808, 540, 19453, 2297, 324, 7115, 538, 476, 13040, 271, 267, 3181, 1078, 4154, 11113, 538, 519, 2012, 540, 966, 6359, 11535, 15840, 340, 594, 630, 10755, 276, 268, 9340, 271, 264, 941, 9783, 267, 799, 782, 1397, 519, 12440, 540, 2947, 11084, 269, 901, 5170, 896, 20422, 17710, 11489, 3592, 519, 1439, 540, 519, 476, 1724, 628, 2540, 563, 27066, 281, 631, 3558, 10719, 1948, 278, 3953, 267, 1948, 278, 3451, 454, 763, 8100, 1031, 912, 28061, 631, 3558, 10719, 281, 31970, 3213, 1231, 543, 22243, 2418, 267, 6348, 268, 26576, 545, 2276, 1299, 5375, 16690, 625, 267, 5084, 7785, 268, 3192, 280, 267, 5507, 476, 3192, 280, 2676, 28061, 631, 3558, 10719, 281, 634, 11777, 720, 543, 1686, 540, 8828, 3127, 269, 851, 5565, 1107, 20474, 333, 611, 340, 1107, 29242, 267, 5507, 476, 1960, 279, 269, 0, 258, 307, 294, 2862, 293, 281, 634, 1152, 17749, 2272, 547, 1246, 713, 11016, 568, 7711, 1399, 1842, 342, 1170, 454, 2108, 27662, 17349, 269, 3367, 1464, 269, 8629, 2032, 1848, 1452, 616, 930, 540, 519, 1883, 2609, 540, 519, 4139, 11978, 4919, 13910, 267, 849, 1634, 607, 968, 18933, 1170, 13910, 892, 799, 3989, 606, 5736, 563, 8110, 623, 11065, 269, 23729, 7714, 685, 3778, 540, 18753, 5071, 4139, 11978, 4919, 5071, 779, 6310, 21870, 616, 2808, 547, 581, 519, 968, 2865, 1850, 1043, 543, 18900, 1797, 585, 1785, 1005, 1344, 1848, 8616, 267, 18230, 13910, 568, 711, 1152, 827, 21870, 607, 621, 3322, 968, 534, 12623, 20470, 11768, 267, 521, 753, 1583, 604, 1826, 5865, 543, 519, 7957, 1681, 540, 10344, 936, 12383, 892, 4967, 7179, 300, 698, 563, 10527, 3350, 779, 3048, 2209, 5916, 2609, 540, 824, 7499, 3466, 547, 1711, 519, 5898, 543, 16134, 540, 519, 18230, 13910, 602, 649, 917, 2221, 269, 15689, 689, 645, 879, 27346, 267, 1546, 853, 6359, 331, 543, 634, 1715, 11978, 2762, 616, 20057, 1194, 2429, 519, 1568, 540, 661, 3464, 660, 918, 11839, 267, 7665, 9291, 267, 8277, 325, 5336, 6686, 28705, 4858, 330, 10458, 543, 1488, 2381, 670, 1993, 10458, 1765, 328, 4318, 1421, 519, 23806, 540, 18230, 13910, 892, 8591, 11910, 773, 14863, 4459, 563, 763, 4139, 11978, 4919, 13910, 267, 849, 1634, 607, 519, 18230, 13910, 267, 568, 513, 8642, 1374, 2511, 602, 7153, 538, 6576, 267, 519, 13814, 267, 543, 5125, 538, 519, 476, 4572, 271, 338, 543, 729, 2919, 676, 9858, 538, 16848, 1282, 519, 476, 4198, 271, 338, 563, 763, 4139, 11978, 4919, 13910, 814, 1185, 7096, 3310, 593, 8642, 1374, 607, 513, 851, 540, 519, 2413, 626, 3350, 267, 18363, 1082, 1374, 5829, 4610, 1519, 6189, 543, 1148, 269, 898, 11363, 2973, 1145, 267, 31824, 267, 543, 1843, 2032, 563, 295, 718, 12201, 540, 519, 2511, 616, 12623, 13240, 29282, 267, 946, 540, 513, 7470, 267, 521, 753, 1606, 518, 604, 1826, 5865, 899, 13019, 345, 16582, 345, 23108, 5052, 330, 267, 543, 23574, 2451, 267, 986, 13949, 1318, 1257, 269, 634, 2511, 568, 849, 2404, 609, 513, 13283, 585, 10344, 538, 1747, 540, 12383, 610, 12400, 269, 3509, 540, 519, 2038, 4139, 11978, 4919, 13910, 1568, 12286, 1462, 2762, 607, 513, 3119, 1374, 3693, 538, 1840, 547, 922, 946, 538, 1257, 267, 543, 621, 568, 585, 713, 602, 519, 2511, 568, 3957, 269, 634, 7506, 540, 713, 8642, 3350, 666, 1869, 581, 2938, 538, 1374, 4640, 543, 3069, 547, 713, 1554, 563, 18439, 519, 7372, 9371, 540, 18230, 13910, 609, 519, 1152, 17749, 547, 1246, 713, 11016, 269, 11978, 334, 18933, 1170, 568, 4904, 609, 1462, 4919, 16782, 267, 17364, 5756, 540, 10875, 8642, 1374, 9035, 596, 1058, 917, 563, 30475, 270, 1462, 2762, 267, 8642, 1374, 267, 1826, 2183, 267, 2220, 15909, 267, 678, 17892, 267, 2121, 615, 4133, 267, 7470, 267, 521, 753, 1583, 604, 267, 2220, 1170, 2511, 267, 536, 879, 27346, 267, 632, 588, 6359, 331, 267, 3486, 1462, 4919, 2511, 267, 27437, 267, 512, 22080, 604, 267, 1462, 657, 342, 1170, 267, 2413, 626, 3350, 267, 513, 330, 345, 16582, 345, 9240, 5052, 330, 267, 519, 1007, 1462, 2762, 267, 1820, 332, 698, 0, 14483, 16457, 1404, 606, 1271, 1909, 538, 772, 28903, 6406, 7896, 11929 ]

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

[ 9046, 268, 4905, 1384, 3519, 3200, 519, 1739, 24813, 8239, 883, 796, 3711, 27631, 8239, 7042, 305, 1109, 20681, 681, 1341, 681, 1315, 681, 1547, 681, 1315, 681, 265, 1315, 513, 1315, 536, 692, 3602, 2608, 568, 737, 22220, 19479, 543, 1547, 568, 6677, 22760, 566, 780, 1012, 8827, 7042, 2414, 6460, 519, 2016, 8239, 883, 922, 7222, 796, 3711, 27631, 8239, 267, 649, 2936, 519, 9551, 775, 543, 1997, 18356, 10148, 780, 2171, 723, 7042, 1892, 9717, 8239, 5161, 540, 519, 1739, 12427, 7042, 266, 2073, 1547, 2073, 2608, 692, 1892, 9717, 8239, 5161, 540, 519, 1739, 1766, 1343, 7042, 320, 2073, 536, 692, 763, 10862, 1931, 568, 7042, 5416, 2073, 536, 264, 3436, 2608, 3436, 1547, 3436, 1341, 692, 3602, 7042, 1892, 1547, 11346, 568, 2451, 1997, 894, 454, 1892, 1341, 11346, 568, 2451, 1997, 894, 692, 8794, 519, 9551, 775, 543, 1997, 18356, 3652, 267, 649, 2328, 519, 7222, 796, 3711, 27631, 8239, 607, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1547, 674, 1315, 674, 692, 293, 1109, 20681, 674, 265, 1315, 717, 692, 294, 1109, 20681, 513, 1315, 536, 692, 4462, 3711, 27631, 18049, 692, 3036, 692, 292, 1109, 20681, 661, 1341, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1547, 674, 1315, 674, 692, 293, 1109, 20681, 674, 265, 1315, 513, 1315, 536, 692, 4462, 3711, 27631, 18049, 692, 1012, 9046, 268, 6349, 1384, 3519, 3200, 519, 1739, 24813, 8239, 883, 796, 3711, 27631, 8239, 7042, 321, 10339, 9890, 581, 343, 335, 610, 581, 343, 335, 1315, 581, 343, 335, 543, 581, 343, 335, 1315, 711, 581, 343, 335, 1315, 570, 1315, 674, 692, 3602, 581, 343, 335, 4564, 29491, 4082, 267, 570, 4564, 6936, 543, 674, 4564, 8771, 780, 1012, 8827, 7042, 2414, 6460, 519, 2016, 8239, 883, 922, 7222, 796, 3711, 27631, 8239, 267, 649, 2936, 519, 9551, 775, 543, 1997, 18356, 10148, 780, 2171, 723, 7042, 1892, 9717, 8239, 5161, 540, 519, 1739, 12427, 7042, 528, 2073, 543, 1109, 267, 711, 692, 1892, 9717, 8239, 5161, 540, 519, 1739, 1766, 1343, 7042, 307, 2073, 674, 692, 763, 10862, 1931, 568, 7042, 24867, 2073, 674, 264, 3436, 711, 3436, 543, 3436, 610, 692, 3602, 7042, 1892, 543, 11346, 568, 2451, 1997, 894, 454, 1892, 610, 11346, 568, 2451, 1997, 894, 692, 8794, 519, 9551, 775, 543, 1997, 18356, 3652, 267, 649, 2328, 519, 7222, 796, 3711, 27631, 8239, 607, 7042, 321, 10339, 9890, 581, 343, 335, 610, 631, 1315, 631, 692, 300, 9890, 631, 543, 715, 1315, 715, 692, 301, 9890, 711, 715, 1315, 717, 692, 294, 1109, 20681, 570, 1315, 674, 692, 4462, 3711, 27631, 18049, 692, 3036, 692, 321, 10339, 9890, 581, 343, 335, 610, 631, 1315, 631, 692, 300, 9890, 631, 543, 715, 1315, 715, 692, 301, 9890, 711, 715, 1315, 570, 1315, 674, 692, 4462, 3711, 27631, 18049, 692, 2414, 2744, 1732, 1620, 827, 23586, 883, 1133, 3711, 27631, 18049, 7042, 19400, 713, 11473, 17976, 692, 9202, 9137, 268, 28518, 25285, 9122, 2201, 9717, 18049, 692, 7476, 811, 4967, 543, 824, 1353, 1570, 540, 7869, 540, 14825, 1092, 543, 6156, 566, 780, 19400, 3381, 15872, 676, 9683, 938, 13334, 8756, 6258, 309, 573, 29222, 780, 1012, 28518, 25285, 9122, 2201, 9717, 18049, 7042, 2467, 616, 1079, 2409, 585, 10442, 519, 7215, 1759, 593, 2016, 8239, 7042, 272, 269, 14301, 513, 1612, 572, 3529, 454, 273, 269, 27588, 519, 3652, 585, 12427, 692, 2162, 6396, 268, 4905, 281, 1109, 19352, 532, 3474, 572, 10326, 7042, 1103, 713, 1505, 267, 1739, 3268, 616, 4553, 7042, 1892, 1284, 2721, 513, 3474, 572, 10326, 585, 519, 2016, 4082, 563, 1892, 1284, 6218, 519, 1612, 572, 3529, 547, 1205, 519, 2838, 1871, 540, 519, 4082, 780, 2162, 8571, 3724, 7042, 1892, 14301, 513, 1612, 572, 3529, 585, 1804, 7215, 568, 524, 13246, 727, 543, 942, 2921, 563, 1892, 1924, 267, 713, 1505, 3587, 2352, 547, 1246, 950, 519, 4082, 568, 1804, 780, 2162, 6396, 268, 6349, 281, 27588, 16390, 1280, 7358, 2209, 7042, 1103, 713, 1505, 267, 1739, 3268, 616, 4553, 7042, 1892, 1284, 6430, 519, 10862, 543, 1997, 18356, 540, 12427, 538, 519, 8239, 563, 1892, 1284, 2385, 1127, 1125, 519, 2016, 4082, 563, 1892, 1284, 6218, 519, 4082, 547, 1205, 519, 2838, 1871, 780, 1892, 901, 1505, 568, 2653, 547, 1246, 2436, 519, 4082, 568, 1507, 610, 1804, 563, 1892, 1924, 267, 713, 1505, 568, 9053, 780, 2162, 16390, 1280, 5463, 4575, 13405, 640, 2986, 7358, 2209, 7042, 2690, 519, 2016, 796, 3711, 27631, 8239, 10484, 1892, 634, 10862, 540, 12427, 568, 4956, 676, 10992, 519, 1377, 693, 799, 519, 2504, 568, 1459, 563, 1892, 634, 2362, 519, 1377, 540, 2504, 267, 519, 2539, 519, 10862, 540, 11346, 8659, 538, 621, 563, 1892, 634, 2539, 519, 1377, 540, 2504, 267, 519, 2362, 519, 10862, 540, 11346, 8659, 538, 621, 780, 2162, 7151, 7042, 13706, 519, 8239, 7042, 292, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 1315, 674, 692, 293, 1109, 20681, 674, 1107, 570, 1315, 570, 692, 307, 1109, 20681, 7329, 692, 2080, 10484, 1892, 7329, 814, 519, 5207, 10862, 780, 4433, 1550, 570, 1109, 20681, 7329, 568, 1459, 693, 519, 5377, 1034, 1377, 2020, 1892, 1535, 543, 1341, 12427, 723, 519, 2547, 10862, 780, 4433, 1550, 661, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 616, 1459, 693, 519, 1283, 1034, 1377, 2020, 1892, 1535, 543, 1341, 12427, 723, 519, 1482, 10862, 780, 4433, 1550, 661, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 616, 1459, 693, 519, 1482, 1377, 2020, 1892, 1107, 11346, 814, 2362, 10862, 982, 1535, 543, 1341, 855, 14758, 10862, 982, 7329, 780, 4433, 1550, 674, 1109, 20681, 674, 1107, 570, 568, 1459, 693, 519, 1647, 1377, 2020, 3383, 267, 519, 10862, 1931, 568, 7042, 573, 3436, 630, 1535, 2073, 1341, 1109, 2020, 2162, 16390, 1280, 5463, 4575, 4889, 18356, 2986, 7358, 2209, 7042, 2690, 519, 2016, 796, 3711, 27631, 8239, 10484, 1892, 634, 1997, 18356, 540, 12427, 568, 4956, 676, 10992, 519, 7392, 2986, 1234, 15479, 542, 538, 519, 2504, 563, 1892, 1403, 519, 2504, 814, 2451, 16571, 542, 267, 1287, 519, 11346, 568, 2451, 1997, 894, 563, 1892, 1403, 519, 2504, 814, 1318, 16571, 542, 267, 1287, 519, 11346, 568, 1318, 1997, 894, 563, 1892, 1403, 519, 2504, 814, 1312, 2451, 543, 1318, 16571, 542, 267, 1287, 519, 11346, 568, 9444, 2451, 1997, 894, 6862, 1318, 1997, 894, 780, 2162, 7151, 7042, 13706, 519, 8239, 7042, 292, 1109, 20681, 661, 1535, 674, 1315, 674, 1341, 661, 1315, 674, 692, 293, 1109, 20681, 674, 1107, 674, 1315, 570, 692, 307, 1109, 20681, 7329, 692, 2080, 10484, 1892, 1535, 11346, 568, 2451, 1997, 894, 780, 4433, 1550, 661, 1109, 20681, 661, 1535, 674, 814, 2451, 16571, 542, 538, 621, 2020, 1892, 1341, 11346, 568, 1318, 1997, 894, 780, 4433, 1550, 661, 1109, 20681, 674, 1341, 661, 814, 1318, 16571, 542, 538, 621, 2020, 1892, 674, 1107, 674, 568, 9444, 2451, 1997, 894, 6862, 1318, 1997, 894, 780, 4433, 1550, 674, 9890, 674, 1107, 674, 814, 1312, 2451, 543, 1318, 16571, 542, 538, 621, 2020, 1012, 9046, 268, 4905, 1384, 13706, 519, 2016, 8239, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 570, 692, 307, 1109, 20681, 674, 1535, 570, 1315, 674, 692, 293, 1109, 20681, 1109, 573, 692, 24066, 10663, 519, 1739, 4082, 538, 13076, 609, 519, 2016, 8239, 7042, 273, 1341, 476, 274, 1535, 476, 276, 1535, 476, 277, 1341, 476, 273, 692, 1012, 8827, 7042, 2162, 6396, 268, 4905, 1384, 1892, 2913, 721, 2721, 513, 1612, 572, 3529, 585, 519, 2016, 4082, 563, 1892, 28518, 519, 1612, 572, 3529, 786, 2132, 519, 2838, 1871, 540, 519, 4082, 780, 763, 1612, 572, 3529, 585, 519, 2016, 4082, 568, 7042, 4002, 10442, 713, 1612, 572, 3529, 267, 649, 1205, 519, 1871, 815, 476, 11463, 780, 2162, 6396, 268, 6349, 1384, 763, 10862, 1931, 543, 1997, 18356, 540, 12427, 593, 519, 4493, 540, 2016, 8239, 568, 7042, 30915, 1109, 285, 1109, 266, 692, 3602, 7042, 1892, 1535, 11346, 568, 1318, 1997, 894, 563, 1892, 1341, 11346, 568, 2451, 1997, 894, 780, 3086, 267, 649, 2385, 1127, 1125, 519, 2016, 4082, 1759, 593, 519, 9551, 775, 543, 1997, 18356, 540, 12427, 607, 7042, 263, 476, 273, 1341, 630, 476, 274, 1535, 630, 476, 276, 1535, 476, 277, 3738, 3738, 3738, 1341, 476, 273, 692, 3086, 267, 649, 6218, 519, 2385, 1127, 1242, 4082, 607, 7042, 284, 630, 476, 273, 1341, 630, 476, 274, 1535, 630, 476, 276, 1535, 476, 277, 3738, 3738, 3738, 1341, 476, 273, 692, 284, 630, 476, 273, 1341, 630, 476, 274, 1535, 476, 1789, 3738, 3738, 1341, 476, 273, 692, 284, 630, 476, 273, 1341, 476, 3445, 3738, 1341, 476, 273, 692, 284, 476, 10844, 1341, 476, 273, 692, 284, 476, 11463, 692, 1012, 9046, 268, 6349, 1384, 13706, 519, 2016, 8239, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 661, 1107, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1535, 674, 1315, 570, 1109, 383, 371, 674, 1315, 674, 692, 293, 1109, 20681, 717, 1109, 16378, 495, 674, 1315, 717, 692, 294, 1109, 20681, 7329, 692, 24066, 10663, 519, 1739, 4082, 538, 13076, 609, 519, 2016, 8239, 7042, 273, 1535, 476, 272, 1341, 476, 275, 1109, 16378, 495, 476, 273, 1109, 16378, 495, 476, 272, 1535, 476, 272, 1341, 476, 274, 692, 1012, 8827, 7042, 2162, 6396, 268, 4905, 1384, 1892, 2913, 721, 2721, 513, 1612, 572, 3529, 585, 519, 2016, 4082, 563, 1892, 28518, 519, 1612, 572, 3529, 786, 2132, 519, 2838, 1871, 540, 519, 4082, 780, 763, 1612, 572, 3529, 585, 519, 2016, 4082, 568, 7042, 4002, 10442, 713, 1612, 572, 3529, 267, 649, 1205, 519, 1871, 815, 476, 2641, 780, 2162, 6396, 268, 6349, 1384, 763, 10862, 1931, 543, 1997, 18356, 540, 12427, 593, 519, 4493, 540, 2016, 8239, 568, 7042, 573, 3436, 630, 1535, 383, 371, 3738, 3436, 630, 1341, 2073, 25589, 3602, 7042, 1892, 1341, 2073, 1107, 2073, 1535, 2073, 1109, 383, 371, 12427, 616, 2451, 1997, 894, 563, 1892, 20875, 11346, 568, 1318, 1997, 894, 692, 3086, 267, 649, 2385, 1127, 1125, 519, 2016, 4082, 1759, 593, 519, 9551, 775, 543, 1997, 18356, 540, 12427, 607, 7042, 263, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 630, 476, 275, 1109, 16378, 495, 630, 476, 273, 1109, 16378, 495, 476, 272, 3738, 3738, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 3086, 267, 649, 6218, 519, 2385, 1127, 1242, 4082, 607, 7042, 284, 630, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 630, 476, 275, 1109, 16378, 495, 630, 476, 273, 1109, 16378, 495, 476, 272, 3738, 3738, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 284, 1109, 263, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 630, 476, 275, 1109, 16378, 495, 476, 273, 3738, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 284, 630, 630, 476, 273, 1535, 476, 272, 3738, 1341, 630, 476, 1626, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 284, 630, 476, 273, 1341, 630, 476, 1626, 1535, 476, 272, 3738, 3738, 1341, 476, 274, 692, 263, 476, 273, 1341, 476, 1626, 3738, 1341, 476, 274, 692, 284, 476, 1240, 1341, 476, 274, 692, 284, 476, 2641, 692, 1012, 9046, 268, 6734, 1384, 13706, 519, 2016, 8239, 7042, 292, 1109, 20681, 661, 1341, 570, 1315, 661, 1107, 570, 1315, 570, 692, 307, 1109, 20681, 570, 1535, 674, 1315, 570, 1109, 383, 371, 674, 1315, 674, 692, 293, 1109, 20681, 674, 20875, 717, 1315, 717, 692, 294, 1109, 20681, 7329, 692, 24066, 10663, 519, 1739, 4082, 538, 13076, 609, 519, 2016, 8239, 7042, 273, 20875, 476, 272, 20875, 476, 275, 1341, 476, 274, 1535, 476, 276, 1535, 476, 277, 20875, 476, 272, 1341, 476, 273, 20875, 476, 274, 692, 1012, 8827, 7042, 763, 10862, 1931, 543, 1997, 18356, 540, 12427, 593, 519, 4493, 540, 2016, 8239, 568, 7042, 573, 3436, 630, 1535, 383, 371, 3738, 3436, 630, 1341, 2073, 25589, 3602, 1341, 2073, 1107, 2073, 1535, 2073, 1109, 383, 371, 267, 1109, 16378, 495, 12427, 616, 2451, 1997, 894, 780, 3086, 267, 649, 2385, 1127, 1125, 519, 2016, 4082, 1759, 593, 519, 9551, 775, 543, 1997, 18356, 540, 12427, 607, 7042, 263, 630, 630, 476, 273, 20875, 476, 272, 3738, 20875, 476, 275, 3738, 1341, 630, 630, 476, 274, 1535, 476, 276, 3738, 1535 ]

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

[ 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1 ]

[ 25113, 538, 13243, 585, 519, 2556, 9276, 540, 519, 25113, 563, 2412, 269, 594, 1118, 513, 21496, 2123, 9886, 540, 19939, 8536, 8988, 1352, 330, 1564, 856, 540, 519, 10424, 19614, 267, 689, 3617, 4025, 563, 6078, 269, 2353, 519, 3606, 7482, 602, 519, 8387, 1705, 711, 1688, 936, 607, 789, 1185, 2944, 538, 519, 1101, 1296, 267, 4927, 8754, 1721, 628, 581, 19942, 936, 585, 519, 2533, 540, 519, 11454, 563, 5655, 269, 5047, 267, 519, 546, 1132, 540, 2947, 8536, 8988, 1352, 330, 1564, 602, 1031, 547, 581, 3144, 689, 519, 8907, 540, 519, 25113, 1169, 1032, 4927, 581, 666, 576, 1194, 267, 2094, 891, 7482, 4866, 547, 519, 20577, 945, 1685, 519, 2533, 563, 6246, 269, 5808, 1197, 3217, 9675, 538, 519, 11454, 540, 13243, 610, 538, 1022, 540, 922, 3348, 3307, 338, 267, 1317, 540, 2724, 646, 7640, 525, 519, 4622, 267, 610, 1317, 540, 1022, 824, 7963, 267, 4927, 581, 5950, 267, 1927, 609, 782, 519, 5370, 646, 19299, 538, 1250, 10806, 563, 4510, 269, 634, 1942, 540, 31811, 543, 19620, 519, 3889, 540, 519, 25113, 4927, 581, 4988, 856, 540, 519, 10424, 8907, 563, 3393, 269, 19452, 519, 1942, 540, 2679, 519, 6821, 540, 13243, 543, 6830, 4328, 621, 782, 1472, 267, 543, 540, 2679, 6821, 538, 7225, 20660, 267, 4927, 581, 24603, 689, 519, 10424, 8907, 4799, 5379, 269, 1879, 22189, 543, 519, 1004, 4862, 891, 1913, 267, 789, 9444, 5156, 6862, 7608, 873, 267, 585, 789, 15422, 519, 1390, 9409, 602, 5915, 564, 686, 639, 1185, 2944, 538, 5840, 267, 543, 875, 15319, 569, 646, 1185, 3413, 21719, 873, 563, 5325, 269, 1358, 4061, 4956, 538, 3870, 540, 12138, 267, 585, 646, 1185, 1044, 519, 1101, 547, 2232, 873, 4708, 2406, 267, 543, 789, 7283, 1010, 16167, 585, 519, 1964, 540, 1010, 1272, 563, 4366, 269, 3751, 12138, 10356, 1927, 513, 1804, 7952, 543, 1958, 2086, 539, 6587, 5915, 564, 686, 639, 563, 5392, 269, 634, 1079, 15438, 8678, 6370, 267, 543, 950, 519, 7952, 540, 5915, 564, 686, 639, 19679, 267, 12138, 22002, 1864, 267, 543, 936, 335, 10062, 1010, 7980, 563, 2004, 269, 1261, 20399, 519, 6370, 2182, 2394, 23863, 267, 543, 5915, 564, 686, 639, 8593, 602, 1554, 563, 7906, 269, 12138, 2366, 5605, 817, 611, 832, 547, 623, 1729, 548, 3240, 267, 4622, 540, 5527, 267, 609, 713, 5048, 912, 7367, 269, 834, 3086, 602, 594, 723, 8120, 547, 1250, 7706, 267, 3144, 1250, 10160, 593, 519, 17599, 540, 1250, 18971, 267, 543, 3964, 1250, 4341, 676, 11493, 5915, 564, 686, 639, 543, 11543, 1852, 540, 1250, 2197, 734, 454, 7871, 269, 585, 594, 7722, 1864, 538, 6370, 267, 17204, 1864, 543, 1010, 7952, 267, 543, 16626, 519, 10424, 17599, 734, 454, 7918, 269, 1577, 721, 1631, 3715, 11505, 609, 1142, 824, 269, 12315, 803, 707, 8250, 585, 1250, 7385, 282, 543, 607, 707, 5067, 2987, 25237, 267, 594, 786, 2285, 547, 596, 543, 547, 1200, 13344, 17709, 540, 596, 4799, 4649, 269, 3751, 623, 1729, 548, 3240, 12943, 538, 891, 1913, 281, 834, 31917, 519, 1554, 593, 799, 596, 8120, 547, 519, 2244, 540, 707, 18971, 543, 3576, 707, 10160, 593, 741, 10424, 17599, 2336, 6321, 269, 594, 786, 798, 585, 596, 1018, 596, 723, 2854, 282, 855, 2743, 803, 538, 623, 1729, 548, 2742, 529, 267, 865, 602, 649, 949, 1294, 1142, 824, 267, 543, 594, 786, 1831, 707, 4651, 2987, 25237, 607, 596, 723, 6069, 4799, 6872, 269, 1924, 623, 1729, 548, 3240, 609, 1010, 8250, 7581, 641, 21358, 1305, 856, 689, 5527, 543, 3357, 547, 623, 1729, 548, 2742, 529, 538, 519, 1032, 835, 4627, 543, 24239, 26690, 563, 6812, 269, 1703, 3751, 12138, 1558, 1864, 267, 543, 623, 1729, 548, 3240, 5795, 1864, 1010, 8250, 7581, 641, 21358, 538, 7365, 269, 4256, 16806, 729, 9976, 693, 623, 1729, 548, 2742, 529, 609, 1390, 26672, 528, 2687, 547, 519, 2688, 540, 15438, 563, 6795, 269, 3751, 12138, 849, 5206, 547, 22189, 547, 2097, 543, 2743, 1864, 563, 2568, 269, 1924, 646, 4682, 609, 533, 20234, 547, 623, 1729, 548, 2742, 529, 267, 1141, 646, 1558, 519, 1079, 15438, 543, 5795, 873, 543, 741, 2828, 8988, 543, 4154, 543, 1082, 13344, 543, 3976, 4465, 741, 3870, 563, 8618, 269, 2368, 11641, 559, 550, 25232, 267, 1098, 28698, 832, 540, 519, 1876, 267, 8087, 1996, 1864, 547, 934, 2224, 1864, 267, 855, 519, 4622, 6976, 1100, 646, 539, 547, 873, 563, 7830, 269, 1261, 10288, 22189, 547, 581, 2820, 6479, 540, 1010, 8723, 23157, 543, 547, 581, 8052, 1117, 538, 10424, 13711, 282, 543, 865, 621, 729, 2944, 563, 8287, 269, 634, 4622, 849, 1185, 1864, 27206, 693, 1010, 2427, 269, 1261, 1767, 547, 1010, 4012, 626, 6233, 281, 834, 7883, 609, 1864, 547, 519, 4099, 540, 519, 2749, 543, 1118, 513, 605, 17474, 602, 1100, 835, 568, 547, 3142, 10997, 1996, 1864, 593, 1022, 12406, 610, 581, 13542, 727, 547, 1864, 538, 1022, 1259, 4799, 5038, 269, 1879, 1010, 934, 22852, 4718, 519, 8956, 6976, 547, 1864, 538, 519, 605, 17474, 267, 543, 519, 13711, 609, 799, 646, 729, 8052, 1117, 267, 789, 782, 19679, 563, 4792, 269, 634, 4622, 849, 28165, 1864, 676, 1297, 532, 1864, 1851, 1010, 12751, 14886, 543, 1500, 1864, 4108, 19524, 543, 17294, 540, 519, 11662, 563, 5780, 269, 1924, 22189, 8120, 538, 4708, 543, 8788, 547, 13243, 563, 6858, 269, 769, 519, 1032, 835, 4627, 543, 24239, 19317, 267, 5915, 564, 686, 639, 267, 5067, 540, 5915, 564, 686, 639, 267, 3357, 689, 11511, 974, 547, 519, 2244, 540, 1010, 18971, 563, 6924, 269, 1879, 3751, 12138, 4862, 540, 621, 646, 729, 7494, 30223, 267, 543, 8120, 547, 4165, 1470, 577, 563, 7597, 269, 5915, 564, 686, 639, 12912, 7442, 3326, 517, 3780, 17294, 540, 3213, 7062, 344, 6319, 269, 11109, 10356, 513, 1804, 7952, 267, 2561, 3326, 517, 3780, 8486, 3481, 1010, 3786, 693, 11918, 11844, 269, 3245, 972, 646, 2366, 713, 5048, 547, 22189, 519, 1164, 17308, 912, 3583, 269, 834, 2791, 616, 519, 1152, 835, 945, 759, 1235, 721, 269, 594, 993, 561, 13774, 1117, 693, 543, 2322, 547, 17847, 593, 707, 2272, 269, 4208, 616, 596, 18071, 1379, 1996, 721, 538, 519, 10239, 888, 10170, 269, 1403, 596, 723, 6015, 538, 707, 4229, 267, 2097, 1524, 1631, 547, 721, 538, 519, 10750, 267, 543, 1577, 721, 1449, 1142, 824, 781, 4222, 972, 282, 519, 2749, 4229, 616, 593, 1250, 2427, 563, 7761, 269, 769, 638, 790, 543, 1451, 945, 594, 993, 543, 945, 519, 1866, 616, 945, 616, 4543, 803, 269, 9093, 2161, 602, 596, 3112, 1118, 513, 1796, 1996, 721, 1317, 707, 18971, 941, 7466, 2322, 547, 8184, 538, 741, 1378, 2244, 563, 10463, 269, 3767, 596, 1932, 786, 581, 8572, 547, 16641, 938, 29816, 543, 971, 513, 3196, 607, 713, 538, 519, 10750, 267, 1141, 972, 568, 711, 513, 6149, 610, 513, 890, 321, 1076, 610, 513, 1747, 547, 25176, 4799, 10619, 269, 1879, 22189, 4862, 519, 5048, 540, 7442, 3326, 517, 3780, 267, 646, 729, 678, 748, 539, 269, 19805, 4557, 8536, 2367, 267, 646, 1305, 856, 689, 13243, 267, 543, 17363, 1010, 7015, 8678, 1864, 547, 948, 1864, 563, 4037, 269, 1261, 8486, 3481, 3786, 2282, 808, 641, 11985, 267, 855, 519, 2367, 538, 519, 2749, 9505, 1864, 856, 1317, 7442, 3326, 517, 3780, 1185, 513, 575, 28207, 972, 269, 1879, 519, 7642, 14850, 773, 3022, 621, 2676, 10602, 269, 519, 2367, 540, 519, 2749, 2968, 12922, 543, 8118, 519, 19235, 267, 543, 865, 22189, 3576, 15896, 540, 808, 641, 11985, 563, 6507, 269, 1879, 7442, 3326, 517, 3780, 4862, 540, 621, 267, 646, 16668, 909, 1614, 8536, 7504, 5443, 543, 606, 7961, 10179, 762, 26462, 269, 1261, 22415, 1117, 593, 10897, 582, 639, 607, 1498, 646, 941, 2469, 593, 998, 519, 2197, 267, 855, 693, 519, 1482, 942, 646, 4359, 883, 519, 10750, 267, 1317, 646, 1185, 971, 513, 1804, 1297, 540, 7504, 5443, 547, 7048, 593, 563, 4281, 269, 22189, 4553, 1864, 547, 10897, 582, 639, 267, 543, 789, 7722, 538, 6370, 563, 8064, 269, 7442, 3326, 517, 3780, 267, 2705, 267, 1185, 2451, 513, 8536, 29816, 538, 15720, 3297, 873, 563, 3199, 269, 1879, 22189, 4362, 602, 972, 729, 606, 5605, 2313, 3297, 1864, 267, 1010, 7952, 729, 11303, 269, 3245, 6640, 2394, 10543, 789, 1397, 1229, 1010, 2367, 609, 21985, 563, 10037, 269, 1809, 1010, 2367, 4371, 741, 2666, 267, 607, 22189, 1185, 26017, 267, 6466, 519, 10546, 781, 9640, 2968, 13110, 856, 563, 11025, 269, 1879, 519, 7504, 5443, 941, 25356, 267, 17363, 16091, 519, 943, 23750, 343, 267, 16397, 621, 543, 2322, 621, 547, 8184, 563, 10695, 269, 634, 7504, 5443, 1932, 941, 16559, 936, 519, 10750, 269, 634, 10546, 19679, 547, 10897, 582, 639, 543, 9411, 21861, 1673, 6782, 267, 519, 11454, 540, 741, 31561, 267, 547, 4688, 2933, 563, 10019, 269, 1809, 22189, 14616, 543, 726, 1495, 1229, 10897, 582, 639, 609, 922, 15231, 10034, 267, 543, 10032, 676, 3595, 1312, 519, 11454, 540, 667, 6782, 543, 519, 2367, 945, 1185, 3144, 9675, 538, 621, 563, 5952, 269, 8409, 945, 8593, 676, 519, 18156, 267, 1927, 609, 1346, 945, 941, 14616, 9800, 267, 3357, 547, 827, 5216, 8536, 2367, 563, 10436, 269, 3973, 22189, 2451, 972, 543, 8486, 3481, 1010, 3786, 693, 12891, 32039, 517, 267, 543, 519, 1004, 540, 602, 2749, 3357, 856, 547, 2743, 1864, 609, 1390, 533, 20234, 563, 9262, 269, 1261, 543, 1010, 2367, 1287, 8120, 547, 13243, 267, 17078, 523, 609, 1454, 18849, 344, 563, 6434, 269, 1879, 3751, 12138, 4862, 540, 891, 2621, 267, 646, 11063, 539, 1007, 26549, 547, 22189, 563, 8660, 269, 1261, 2366, 1864, 513, 4154, 31617, 267, 971, 607, 568, 2356, 2016, 547, 3751, 781, 918, 1231, 5443, 282, 646, 849, 5795, 1864, 661, 330, 1258, 543, 782, 922, 8513, 607, 513, 15896, 269, 0, 2467, 616, 930, 2035, 593, 799, 938, 7239, 616, 1759, 2221, 267, 971, 607, 9111, 267, 1480, 2924, 543, 5191, 269, 4675, 816, 832, 540, 891, 2418, 2196, 519, 1981, 540, 1373, 28715, 676, 519, 3486, 2146, 1247, 27013, 543, 824, 15156, 616, 2693, 547, 4309, 7028, 782, 936, 519, 1158, 563, 763, 7046, 14559, 2494, 28685, 334, 568, 513, 1434, 3498, 540, 1018, 519, 2413, 1158, 814, 6913, 865, 2484, 5196, 519, 2804, 7706, 269, 898, 5956, 609, 930, 24185, 689, 634, 17629, 16672, 540, 5274, 7126, 267, 7550, 538, 476, 3707, 279, 693, 2136, 8315, 267, 9870, 2055, 827, 519, 13597, 540, 938, 1699, 13075, 1062, 563, 268, 3502, 24339, 5597, 7307, 281, 2724, 568, 513, 1907, 16764, 2115, 267, 855, 4867, 621, 779, 7307, 676, 4357, 8492, 607, 789, 6430, 945, 666, 1118, 12029, 815, 1376, 3785, 563, 268, 8779, 569, 281, 32225, 540, 2724, 616, 8078, 539, 547, 2628, 519, 7623, 1719, 593, 1283, 540, 519, 9030, 1247, 12434, 979, 883, 1152, 22836, 540, 513, 1906, 3946, 563, 268, 670, 13635, 762, 281, 581, 31600, 540, 2724, 666, 11198, 741, 2724, 607, 1279, 607, 789, 899, 267, 24715, 908, 922, 10009, 543, 21898, 532, 1346, 945, 616, 2731, 538, 991, 585, 621, 563, 268, 1133, 325, 1515, 281, 519, 1360, 6228, 540, 7623, 1719, 4679, 14547, 1004, 779, 10697, 693, 519, 15093, 540, 519, 5318, 5354, 540, 519, 4057, 263, 5408, 17394, 585, 3877, 994, 268, 24296, 20980, 281, 938, 1699, 13075, 1062, 568, 30758, 547, 979, 22625, 19692, 610, 2663, 1317, 621, 3340, 606, 12825, 2208, 11014, 263, 5408, 16481, 573, 28593, 1103, 2110, 267, 938, 13075, 1062, 568, 3768, 655, 7095, 543, 1281, 711, 1491, 1480, 2924, 610, 5191, 883, 2272, 563, 2005, 568, 1271, 585, 721, 547, 3314, 602, 519, 13075, 1062, 568, 711, 513, 2067, 1876, 855, 513, 15007, 799, 729, 543, 1869, 666, 581, 11231, 585, 1480, 2115, 269, 4475, 649, 1058, 23590, 621, 952, 649, 1616, 856, 1797, 540, 5385, 547, 4196, 585, 938, 2418, 2507, 0, 7052, 30995, 8923, 2638, 707, 1126, 781, 1544, 1676, 1169, 1554, 267, 938, 8430, 786, 1689, 689, 942, 547, 942, 563, 25582, 540, 5181, 476, 275, 268, 279, 454, 31388, 910, 8534, 4303, 13638, 910, 21942, 7689, 476, 273, 269, 273, 1315, 4825, 26421, 3817, 476, 5392, 268, 2004, 30498, 589, 32390, 267, 290, 267, 291, 267, 543, 661, 13723, 910, 21942, 4569, 7689, 476, 273, 269, 274, 1315, 4825, 26421, 3817, 476, 5392, 268, 2004, 30498, 589, 32390 ]

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

[ 4357, 9520, 563, 276, 269, 5004, 16179, 8083, 910, 22312, 540, 2229, 7221, 547, 4540, 9946, 945, 1831, 3743, 585, 5665, 873, 607, 4357, 4213, 780, 289, 269, 21929, 324, 19992, 17658, 26494, 24727, 692, 763, 3119, 4128, 3297, 12561, 3051, 26494, 4507, 1331, 1384, 272, 269, 21252, 26094, 1107, 17721, 3906, 1419, 7500, 811, 7561, 1813, 547, 8013, 12503, 543, 15314, 5532, 547, 7443, 12366, 1436, 563, 273, 269, 8779, 22159, 1107, 26269, 7512, 1942, 9806, 543, 5499, 2853, 1851, 14273, 563, 274, 269, 16743, 8871, 10056, 1107, 18964, 20835, 543, 1981, 23824, 838, 2720, 6639, 7760, 543, 4824, 2472, 4882, 26236, 563, 275, 269, 10055, 1464, 28389, 618, 1107, 10369, 9015, 4229, 10909, 547, 4431, 16425, 547, 7082, 7569, 267, 2810, 11413, 543, 30506, 780, 7656, 269, 8865, 5530, 281, 1977, 5948, 540, 14135, 781, 2155, 13579, 894, 15638, 692, 2414, 9414, 519, 1764, 540, 3051, 26494, 4507, 593, 1857, 2533, 543, 2804, 1646, 267, 2015, 519, 1909, 540, 4357, 11051, 538, 12180, 2621, 899, 519, 589, 3008, 781, 16033, 725, 269, 13018, 267, 713, 3296, 12116, 1614, 3344, 281, 2146, 3377, 8989, 267, 26988, 960, 9525, 267, 543, 1072, 1299, 9716, 14074, 780, 288, 269, 7991, 5240, 27561, 692, 1103, 2221, 781, 3059, 2085, 267, 1082, 2199, 14786, 723, 5185, 2883, 9620, 3056, 930, 547, 24044, 4238, 7357, 269, 1306, 971, 267, 18758, 12205, 899, 519, 589, 3008, 1404, 1898, 5107, 538, 11423, 1344, 10616, 2451, 3297, 269, 1717, 267, 950, 891, 3252, 616, 16080, 712, 1027, 547, 5010, 21101, 610, 28479, 19188, 267, 2152, 949, 8451, 7282, 4760, 2065, 8699, 543, 6111, 269, 1280, 3236, 267, 2984, 1522, 581, 6766, 676, 6994, 23924, 610, 13384, 832, 2864, 982, 6662, 21107, 4441, 269, 3958, 267, 16126, 593, 3593, 24378, 1543, 1223, 1291, 547, 25749, 10825, 31250, 780, 289, 269, 4077, 3386, 4518, 30880, 692, 13142, 885, 849, 4096, 8185, 593, 12352, 609, 4357, 3906, 547, 14892, 741, 13485, 3927, 269, 1452, 21769, 5512, 18440, 909, 7341, 543, 8757, 9962, 9458, 269, 11048, 267, 1761, 19363, 2291, 952, 971, 3347, 14207, 7115, 610, 1711, 7526, 540, 1719, 269, 5047, 267, 6528, 640, 4145, 8451, 950, 1152, 1978, 2950, 4324, 689, 6098, 24960, 545, 18129, 780, 290, 269, 2657, 1299, 25682, 3038, 2888, 692, 7661, 267, 3051, 520, 1242, 3782, 1949, 666, 1267, 538, 13103, 1063, 1346, 945, 666, 6488, 1164, 7779, 1416, 543, 1346, 13461, 9003, 593, 1857, 3681, 269, 2755, 6735, 11479, 1524, 3790, 543, 10607, 2298, 538, 3069, 267, 4641, 19267, 513, 1114, 4605, 269, 3933, 641, 565, 625, 666, 1106, 267, 6028, 6800, 7925, 547, 3902, 575, 537, 3101, 543, 1016, 1706, 2126, 269, 5015, 267, 2043, 8506, 7463, 2564, 3007, 949, 3068, 3908, 8244, 1813, 547, 4199, 14305, 3664, 1500, 1759, 593, 12434, 3079, 540, 991, 780, 4353, 269, 10390, 692, 2750, 600, 1456, 519, 1977, 5948, 540, 14135, 781, 3646, 547, 4497, 922, 2818, 998, 1585, 2238, 8711, 1312, 519, 2640, 543, 2591, 15054, 676, 3051, 26494, 4507, 269, 2201, 835, 1688, 267, 5698, 609, 4357, 11051, 11942, 5876, 267, 4398, 267, 543, 23793, 269, 30027, 3585, 267, 2705, 267, 4220, 10836, 3823, 12477, 267, 9698, 267, 543, 7145, 269, 4475, 267, 14519, 1590, 5402, 3666, 12721, 4690, 950, 14045, 2436, 610, 711, 547, 9772, 3051, 26494, 3800, 269, 11086, 267, 5483, 5079, 2154, 9488, 7156, 540, 782, 2188, 3238, 267, 4180, 6099, 4093, 585, 2486, 693, 1804, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4456, 18317, 2975, 3198, 6789, 590, 744, 595, 594, 9569, 744, 674, 590, 5442, 294, 4338, 744, 3918, 454, 13563, 5948, 32465, 476, 272, 268, 278, 16588, 5494, 870, 338, 5541, 32465, 476, 274, 10911, 4753, 1299, 6355, 5541, 2807, 1862, 476, 279, 7991, 5240, 27401, 1862, 476, 280, 268, 1556, 13488, 9982, 5541, 476, 1321, 268, 1724, 29179, 7982, 9982, 476, 1691, 268, 866, 12389, 538, 14135, 32465, 476, 736, 268, 2641, 2657, 1299, 25682, 27401, 476, 2420, 268, 2537, 1548, 779, 19732, 2287, 5541, 907, 476, 2537, 454, 26322, 5240, 476, 280, 268, 1556, 454, 29670, 538, 14135, 476, 736, 268, 2641, 454, 10890, 1299, 25682, 476, 2420, 268, 2537, 454, 294, 1516, 7982, 476, 1691, 268, 866, 454, 8333, 13579, 908, 938, 32445, 593, 27851, 4303, 454, 4692, 1406, 5192, 5851, 585, 21175, 286, 7756, 18467, 547, 18270, 622, 454, 2690, 519, 8866, 5808, 5620, 18421, 281, 14520, 18467, 547, 13773, 16140, 539, 454, 1692, 547, 5192, 12833, 9407, 538, 4077, 3386, 4518, 538, 14135, 454, 300, 5746, 630, 303, 264, 476, 3192, 270, 6734, 270, 1001, 278, 454, 8702, 7982, 9919, 30503, 1674, 476, 1001, 278, 1635, 8861, 9546, 8725, 454, 20124, 676, 15576, 773, 645, 664, 525, 454, 603, 1007, 3885, 21945, 538, 14135, 543, 1866, 13059, 689, 519, 4832, 9702, 267, 519, 1977, 5948, 540, 14135, 779, 630, 288, 3008, 264, 5993, 8080, 7982, 9919, 30503, 1674, 729, 519, 3501, 1259, 547, 1921, 936, 606, 12784, 540, 1187, 267, 1426, 543, 11505, 269, 769, 8956, 540, 589, 3008, 685, 1298, 27812, 16683, 2437, 780, 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, 5398, 8889, 1315, 9483, 8889, 1315, 17658, 26494, 8889, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

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

[ 2260, 952, 9642, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 13725, 1109, 19896, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 13725, 1109, 1730, 15615, 319, 2387, 332, 815, 562, 282, 2387, 2387, 13725, 1109, 1730, 15615, 319, 2387, 337, 815, 630, 332, 1315, 630, 332, 910, 476, 272, 4297, 282, 2387, 2387, 13725, 1109, 1730, 15615, 319, 2387, 326, 815, 630, 1730, 15615, 1730, 7565, 323, 2608, 630, 1730, 15615, 1730, 264, 6912, 325, 16868, 4297, 282, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1820, 835, 3693, 547, 581, 476, 271, 2387, 2387, 13725, 1109, 1730, 322, 719, 24177, 12181, 257, 271, 834, 1730, 282, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1820, 630, 333, 268, 272, 264, 2609, 607, 1535, 328, 6508, 2387, 2387, 13725, 1109, 19896, 689, 519, 4542, 2387, 2387, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 272, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 24748, 1109, 1730, 322, 719, 24177, 12181, 335, 578, 1730, 8987, 272, 267, 1775, 264, 2608, 575, 24177, 12181, 257, 834, 1730, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 13725, 1109, 1730, 322, 719, 24177, 1439, 331, 282, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 2260, 9920, 1982, 547, 1449, 519, 1657, 1599, 2387, 2387, 842, 319, 2387, 10852, 3890, 2387, 2387, 346, 2387, 2387, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 476, 274, 267, 546, 815, 476, 274, 282, 2387, 2387, 6892, 1109, 1730, 338, 7685, 3799, 267, 546, 5148, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 8873, 319, 2387, 271, 282, 2387, 2387, 348, 2387, 692, 1012, 10084, 692, 2387, 2260, 10084, 1982, 547, 1265, 562, 2609, 2387, 2387, 5814, 319, 2387, 329, 6072, 269, 583, 559, 30818, 282, 2387, 2387, 5814, 319, 2387, 329, 6072, 7456, 836, 30818, 282, 2387, 2387, 1109, 319, 1109, 2387, 21504, 319, 2387, 5035, 319, 2387, 294, 325, 294, 2715, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 1599, 547, 1820, 3126, 540, 562, 2609, 2387, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 338, 7685, 263, 1730, 842, 319, 2387, 333, 267, 12181, 842, 319, 2387, 323, 264, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 476, 271, 1287, 1820, 782, 2387, 2387, 13725, 1109, 19896, 2609, 607, 476, 271, 269, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 323, 2652, 12181, 271, 1730, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 562, 476, 271, 781, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 271, 1730, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2387, 2387, 7673, 13725, 1109, 1730, 21902, 269, 719, 31428, 263, 1730, 257, 271, 834, 1730, 5148, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 15238, 3890, 282, 2387, 2387, 24748, 1109, 1730, 8873, 1730, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 1256, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 333, 4939, 12181, 273, 319, 2387, 2525, 12181, 271, 1730, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 910, 16256, 267, 1341, 16256, 267, 910, 16256, 267, 1341, 16256, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 7673, 13725, 1109, 1730, 21902, 269, 719, 31428, 263, 13043, 4877, 578, 8987, 1730, 272, 1730, 267, 1775, 264, 2608, 546, 1341, 12181, 257, 834, 1730, 5148, 2387, 2387, 24748, 1109, 31299, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 15238, 3890, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 13725, 1109, 1730, 12828, 319, 2387, 2260, 952, 9642, 2387, 2387, 13725, 1109, 1730, 346, 2387, 2387, 24748, 1109, 19896, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 332, 815, 562, 282, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 337, 815, 630, 332, 1315, 630, 332, 910, 12181, 272, 1730, 4297, 282, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 326, 815, 630, 1730, 15615, 1730, 7565, 323, 2608, 630, 1730, 15615, 1730, 7565, 13043, 28460, 16868, 4297, 5148, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 835, 3693, 547, 581, 476, 271, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 263, 1730, 257, 271, 834, 1730, 5148, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 630, 333, 268, 272, 264, 2609, 607, 1535, 328, 2387, 2387, 24748, 1109, 19896, 6508, 689, 519, 4542, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 7673, 13725, 1109, 1730, 21902, 269, 719, 31428, 263, 13043, 4877, 578, 8987, 1730, 272, 1730, 267, 1775, 264, 2608, 575, 1341, 12181, 257, 834, 1730, 5148, 2387, 2387, 24748, 1109, 31299, 2387, 2387, 24748, 1109, 1730, 21902, 269, 719, 31428, 15238, 3890, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 9920, 1599, 2387, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26571, 314, 8079, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 13725, 1109, 1730, 842, 319, 2387, 333, 815, 12181, 274, 1730, 267, 546, 815, 12181, 274, 1730, 282, 2387, 2387, 13725, 1109, 1730, 338, 7685, 3799, 267, 546, 5148, 2387, 2387, 6892, 1109, 31299, 2387, 2387, 348, 2387, 2387, 1109, 319, 1109, 2387, 270, 265, 901, 3009, 568, 8329, 676, 590, 26196, 1744, 4157, 5055, 2608, 270, 26384, 1012, 5124, 274, 692, 2387, 258, 5124, 1982, 547, 1265, 562, 2609, 2387, 2387, 5814, 319, 2387, 4118, 2387, 2387, 1109, 319, 1109, 2387, 258, 1599, 547, 1820, 3126, 540, 562, 2609, 2387, 2387, 3698, 319, 2387, 338, 7685, 263, 562, 267, 546, 2567, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 1730, 258, 952, 590, 6185, 269, 568, 476, 271, 1287, 1820, 782, 2387, 2387, 6892, 1109, 1730, 258, 2609, 607, 476, 271, 269, 2387, 2387, 6892, 1109, 1730, 604, 319, 2387, 323, 12181, 284, 1730, 284, 319, 2387, 271, 1730, 281, 2387, 2387, 3396, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 562, 476, 271, 781, 2387, 2387, 13725, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 333, 2567, 2387, 2387, 24748, 1109, 1730, 2745, 1730, 263, 1730, 257, 271, 257, 1730, 267, 1439, 12181, 284, 319, 2387, 262, 1412, 1730, 264, 2387, 2387, 13725, 1109, 1730, 8873, 319, 2387, 272, 319, 2387, 7673, 1109, 319, 1109, 2387, 6892, 1109, 1730, 258, 952, 590, 6185, 269, 568, 1256, 2387, 2387, 6892, 1109, 1730, 604, 319, 2387, 333, 12181, 260, 319, 2387, 273, 319, 2387, 284, 1730, 284, 319, 2387, 271, 1730, 281, 2387, 2387, 3396, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 910, 16256, 267, 1341, 16256, 267, 910, 16256, 267, 1341, 16256, 2387, 2387, 13725, 1109, 1730, 328, 12181, 284, 319, 2387, 272, 319, 2387, 13725, 1109, 1730, 6112, 319, 2387, 328, 2999, 1730, 284, 319, 2387, 333, 281, 2387, 2387, 24748, 1109, 1730, 2745, 1730, 263, 1730, 257, 10065, 276, 325, 257, 1730, 260, 1730, 9230, 4118, 269, 1730, 335, 578, 1730, 263, 1730, 268, 1730, 272, 1730, 267, 1775, 264, 12181, 265, 319, 2387, 323, 24270, 2387, 2387, 18987, 1109, 1109, 1730, 754, 12181, 284, 1730, 262, 1412, 1730, 264, 2387, 2387, 24748, 1109, 1730, 328, 12181, 266, 1730, 284, 319, 2387, 272, 319, 2387, 6892, 1109, 1730, 12828, 1730, 281, 2387, 2387, 13725, 1109, 1730, 258, 952, 9642, 2387, 2387, 13725, 1109, 1730, 258, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 13725, 1109, 1730, 332, 12181, 284, 319, 2387, 333, 2387, 2387, 13725, 1109, 1730, 337, 12181, 284, 319, 25464, 332, 12181, 270, 319, 25464, 332, 12181, 268, 319, 2387, 272, 1730, 4297, 2387, 2387, 13725, 1109, 1730, 326, 12181, 284, 319, 25464, 1730, 15615, 1730, 7565, 323, 12181, 265, 319, 2387, 15615, 1730, 263, 4118, 28460, 16868, 30727, 2387, 2387, 7673, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 835, 3693, 547, 581, 476, 271, 2387, 2387, 13725, 1109, 1730, 2745, 1730, 263, 1730, 257, 271, 834, 1730, 267, 1439, 12181, 284, 319, 2387, 262, 1412, 1730, 264, 2387, 2387, 7673, 1109, 319, 1109, 2387, 13725, 1109, 1730, 258, 1820, 630, 333, 268, 272, 264, 2609, 607, 1535, 328, 6508, 2387, 2387, 13725, 1109, 1730, 258, 689, 519, 4542, 2387, 2387, 13725, 1109, 1730, 328, 12181, 284, 319, 2387, 272, 319, 2387, 13725, 1109, 1730, 6112, 319, 2387, 328, 2999, 562, 281, 2387, 2387, 24748, 1109, 1730, 2745, 1730, 263, 1730, 257, 10065, 276, 325, 257, 1730, 260, 1730, 263, 4118, 269, 1730, 335, 578, 1730, 263, 1730, 268, 1730, 272, 1730, 267, 1775, 264, 12181, 265, 319, 2387, 326, 1070, 2387, 2387, 18987, 1109, 1109, 1730, 754, 12181, 284, 319, 2387, 262, 1412, 1730, 264, 2387, 2387, 24748, 1109, 1730, 328, 12181, 284, 319, 2387, 328, 12181, 266, 319, 2387, 272, 319, 2387, 6892, 1109, 1730, 2745, 1730, 263, 1730, 257, 315, 333, 257, 1730, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 9920, 3009, 547, 1449, 519, 1657, 1599, 2387, 2387, 333, 12181, 284, 319, 2387, 274, 319, 2387, 323, 12181, 284, 319, 2387, 274, 319, 2387, 338, 7685, 3799, 267, 546, 264, 2387, 2387, 1109, 319, 1109, 2387, 258, 901, 3009, 568, 8329, 676, 834, 4537, 541, 611, 29758, 14551, 342, 1690, 2668, 2387, 692, 1012, 595, 258, 692, 2387, 2260, 595, 258, 1982, 547, 1265, 562, 2609, 2387, 2387, 6748, 319, 2387, 21902, 282, 2387, 2387, 1109, 319, 1109, 2387, 21504, 319, 2387, 5035, 319, 2387, 294, 325, 294, 2715, 2387, 2387, 1109, 319, 1109, 2387, 6892, 1109, 19896, 1599, 547, 1820, 3126, 540, 562, 2387, 2387, 6892, 1109, 19896, 2609, 2387, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 338, 7685, 263, 1730, 842, 319, 2387, 333, 267, 12181, 842, 319, 2387, 323, 264, 2387, 2387, 6892, 1109, 1730, 346, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 476, 271, 1287, 1820, 782, 2387, 2387, 13725, 1109, 19896, 2609, 607, 476, 271, 269, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 323, 2652, 476, 271, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 562, 476, 271, 781, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 271, 282, 1775, 2999, 562, 282, 1775, 10030, 264, 2387, 2387, 7673, 13725, 1109, 1730, 3519, 18030, 269, 2237, 263, 1730, 257, 271, 257, 1730, 5148, 2387, 2387, 18987, 1109, 319, 1109, 2387, 24748, 1109, 1730, 3519, 18030, 269, 2237, 18118, 3890, 282, 2387, 2387, 7673, 3396, 1109, 319, 1109, 2387, 24748, 1109, 1730, 8873, 1730, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 1109, 319, 1109, 2387, 13725, 1109, 19896, 952, 590, 6185, 269, 568, 1256, 2387, 2387, 13725, 1109, 1730, 604, 319, 25464, 333, 4939, 476, 273, 2652, 476, 271, 264, 2715, 2387, 2387, 1109, 319, 1109, 2387, 24748, 1109, 19896, 1820, 910, 16256, 267, 1341, 16256, 267, 910, 16256, 267, 1341, 16256, 2387, 2387, 24748, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 272, 282, 1775, 10922, 562, 282, 1775, 10030, 264, 2715, 2387, 2387, 7673, 13725, 1109, 1730, 3519, 18030, 269, 2237, 263, 13043, 10422, 578, 8987, 272, 267, 1775, 264, 2387, 2387, 18987, 18987, 1741, 1109, 1730, 265, 546, 1341, 12181, 257, 834, 1730, 5148, 2387, 2387, 24748, 1109, 31299, 2387, 2387, 7673, 3396, 1109, 319, 1109, 2387, 24748, 1109, 1730, 3519, 18030, 269, 2237, 18118, 3890, 282, 2387, 2387, 13725, 1109, 31299, 2387, 2387, 13725, 1109, 1730, 12828, 319, 2387, 2260, 952, 9642, 2387, 2387, 13725, 1109, 1730, 346, 2387, 2387, 7673, 3396, 1109, 319, 1109, 2387, 24748, 1109, 19896, 6460, 562, 547, 513, 10581, 8870, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 332, 815, 562, 282, 2387, 2387, 24748, 1109, 1730, 15615, 319, 2387, 337, 815, 630, 332, 1315, 630, 332, 910, 476, 272, 4297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 5594, 12137, 518, 11183, 269, 20780, 532, 2029, 2560, 563, 2414, 1847, 4464, 267, 547, 3094, 713, 267, 547, 1118, 513, 1483, 1279, 9434, 1689, 538, 2069, 649, 991, 547, 723, 513, 2312, 1620, 1018, 8892, 18112, 5034, 2560, 563, 5591, 267, 621, 779, 711, 2029, 9462, 30904, 594, 917, 649, 946, 621, 1631, 811, 982, 2479, 267, 855, 607, 596, 4076, 4440, 8068, 621, 779, 711, 2614, 269, 3143, 2339, 952, 2560, 563, 19931, 11150, 585, 24553, 995, 21846, 547, 5851, 4804, 1107, 8470, 22555, 676, 3143, 23423, 19087, 547, 2232, 13044, 866, 6433, 269, 1548, 596, 3580, 1451, 538, 713, 1357, 14373, 281, 2560, 563, 1432, 952, 596, 1810, 1406, 723, 1022, 2200, 547, 1544, 3078, 1565, 2833, 610, 596, 3112, 6488, 873, 286, 6496, 621, 1611, 596, 666, 1406, 2709, 2706, 3078, 267, 26612, 0, 1103, 19220, 540, 519, 2518, 2804, 1764, 540, 519, 2475, 16644, 2088, 4123, 2112, 267, 17111, 779, 4123, 609, 1312, 2477, 814, 7283, 5266, 7123, 269, 1306, 540, 4873, 476, 1708, 271, 267, 17111, 779, 4123, 609, 519, 2136, 2276, 1185, 2799, 676, 476, 274, 10065, 901, 568, 4080, 676, 519, 12080, 540, 4139, 11780, 543, 12752, 630, 11085, 2316, 1040, 681, 300, 3199, 786, 2333, 676, 476, 272, 18336, 8368, 540, 9115, 454, 1692, 13201, 634, 11780, 2782, 18748, 539, 634, 19004, 888, 307, 8565, 10617, 11686, 3361, 513, 1713, 2333, 538, 9204, 1813, 547, 1010, 3527, 269, 4340, 547, 513, 1867, 676, 28239, 344, 779, 24630, 3370, 538, 5181, 476, 1001, 280, 267, 519, 4123, 2112, 814, 2907, 1942, 519, 772, 2529, 269, 6634, 269, 27819, 476, 4968, 267, 1822, 6009, 543, 513, 476, 271, 2600, 13864, 2557, 941, 4080, 538, 519, 4346, 269, 634, 1483, 12654, 540, 519, 2197, 5666, 547, 476, 274, 10065, 634, 1942, 547, 519, 772, 2529, 269, 814, 1044, 6059, 693, 1269, 274, 5479, 269, 27051, 476, 271, 2600, 540, 12654, 563, 4692, 11780, 12668, 20531, 9483, 19822, 888, 2691, 513, 2197, 21593, 1164, 13143, 8907, 689, 519, 1533, 6578, 543, 4123, 10617, 2014, 513, 7771, 538, 1533, 6578, 19614, 267, 1287, 519, 1533, 6578, 949, 7985, 269, 1323, 2333, 538, 1533, 7963, 568, 4929, 519, 1533, 779, 18083, 547, 6336, 28880, 267, 799, 13514, 513, 11528, 1981, 269, 1703, 568, 513, 1981, 540, 606, 2804, 6433, 538, 891, 2010, 540, 3871, 563, 1692, 6496, 634, 11780, 2782, 18748, 15043, 18831, 888, 20059, 532, 538, 3384, 2477, 1522, 581, 4299, 676, 4123, 13253, 952, 789, 1764, 2518, 10462, 269, 6154, 1495, 267, 5689, 529, 345, 31974, 6390, 267, 4223, 1729, 334, 267, 543, 681, 25917, 630, 1708, 271, 264, 7447, 602, 519, 4747, 9271, 538, 3384, 2477, 1223, 2039, 689, 476, 271, 260, 547, 476, 2568, 10065, 898, 568, 476, 280, 260, 538, 3162, 5607, 543, 476, 272, 260, 538, 4000, 269, 17417, 543, 6239, 1306, 2103, 616, 4397, 547, 1294, 606, 2333, 540, 476, 278, 18336, 9989, 7383, 18748, 9483, 12618, 769, 17111, 888, 1103, 519, 2250, 267, 1713, 13143, 2208, 814, 1044, 2404, 609, 4028, 2208, 538, 20558, 269, 4635, 17111, 607, 606, 1383, 267, 713, 1957, 12116, 519, 21465, 2078, 1063, 4123, 543, 2804, 2208, 972, 563, 1432, 6496, 634, 11780, 2782, 18748, 888, 19770, 543, 519, 2136, 2276, 1312, 11124, 2804, 9271, 1813, 547, 519, 4123, 2112, 267, 2094, 4123, 8928, 941, 11651, 1540, 2476, 689, 1312, 2477, 269, 769, 1200, 2376, 538, 519, 6115, 5403, 267, 1261, 1430, 7043, 11339, 267, 968, 308, 2529, 269, 1703, 729, 513, 3500, 6658, 538, 2804, 2208, 267, 513, 19068, 538, 1870, 5092, 267, 543, 7864, 1004, 941, 21534, 563, 1692, 1684, 11780, 12668, 18748, 634, 19004, 888, 3682, 7257, 19114, 616, 10413, 676, 9755, 2348, 547, 2628, 811, 585, 6151, 2326, 269, 4935, 267, 4123, 10617, 666, 2014, 3902, 4679, 1107, 3226, 1851, 14475, 5370, 1107, 799, 666, 1291, 547, 10637, 2066, 2199, 11615, 563, 7617, 13474, 5484, 1030, 1243, 634, 4107, 3245, 11780, 2782, 888, 307, 2967, 9774, 779, 9304, 814, 6591, 1269, 275, 2094, 13723, 267, 5437, 476, 277, 267, 476, 1001, 280, 269, 589, 10006, 538, 18666, 547, 519, 2475, 8507, 538, 513, 2121, 2744, 540, 1269, 273, 5479, 269, 3624, 267, 799, 814, 4389, 18666, 547, 519, 2136, 2276, 607, 513, 1267, 540, 519, 4123, 2112, 267, 814, 3254, 519, 6574, 2333, 538, 18666, 547, 519, 2136, 2276, 563, 1103, 1548, 32163, 725, 2052, 11780, 12668, 8048, 2368, 2986, 634, 9540, 2817, 8859, 625, 1677, 1323, 9483, 19822, 888, 2691, 513, 2197, 21593, 1164, 13143, 8907, 689, 519, 1533, 6578, 543, 4123, 10617, 2014, 513, 7771, 538, 1533, 6578, 19614, 267, 1287, 519, 1533, 6578, 949, 7985, 269, 1403, 513, 1533, 6578, 568, 7092, 689, 513, 1164, 6578, 17211, 543, 1857, 18083, 616, 21002, 2989, 609, 513, 1164, 3454, 2557, 267, 4123, 10617, 666, 1267, 538, 513, 1857, 8804, 6433, 563, 1692, 6496, 634, 11780, 2782, 18748, 634, 2475, 19004, 888, 6097, 547, 938, 9183, 267, 519, 2475, 4346, 1131, 3132, 1269, 272, 952, 519, 4123, 2112, 15583, 919, 543, 1232, 537, 1255, 269, 898, 1131, 1267, 538, 476, 278, 3953, 267, 1822, 7864, 6009, 538, 476, 1708, 273, 543, 476, 17168, 267, 1822, 7864, 6009, 538, 476, 1708, 276, 609, 513, 12654, 5786, 540, 1269, 277, 18265, 936, 519, 1985, 2947, 1296, 269, 7464, 26038, 585, 2475, 10820, 616, 6059, 547, 723, 15468, 676, 1269, 277, 267, 6110, 676, 476, 1708, 276, 563, 1692, 6496, 11780, 18748, 634, 19004, 888, 763, 2956, 540, 4123, 547, 3013, 779, 13884, 3112, 581, 896, 26061, 1107, 621, 11479, 2804, 2208, 267, 2488, 6009, 693, 1753, 267, 12651, 2713, 4441, 538, 519, 772, 2529, 269, 543, 5849, 1977, 3885, 666, 3548, 267, 4235, 267, 543, 723, 12062, 269, 589, 2698, 540, 1269, 274, 729, 21775, 538, 5370, 269, 634, 2698, 568, 1269, 280, 18265, 543, 772, 2529, 269, 589, 2698, 540, 1269, 272, 5479, 729, 21775, 538, 2533, 269, 1703, 616, 1614, 18265, 9489, 563, 1692, 6496, 11780, 2782, 18748, 4354, 6275, 888, 19770, 11912, 1055, 20558, 689, 10476, 607, 513, 1267, 540, 519, 4123, 2112, 267, 799, 786, 723, 513, 1713, 1764, 593, 519, 19176, 962, 10224, 3761, 269, 1306, 513, 1267, 267, 519, 19728, 1522, 14020, 267, 543, 519, 4914, 9541, 602, 1683, 519, 2477, 609, 1713, 4914, 2724, 1223, 581, 4503, 563, 1432, 3657, 634, 12186, 2986, 634, 11780, 2782, 888, 13757, 10413, 1312, 3624, 543, 519, 2136, 2276, 17215, 543, 8507, 538, 513, 4129, 542, 540, 4123, 8928, 2476, 689, 1312, 2477, 269, 769, 1200, 2376, 538, 519, 6115, 5403, 267, 1261, 1430, 7043, 11339, 267, 968, 308, 2529, 269, 1703, 729, 513, 3500, 6658, 538, 2804, 2208, 267, 513, 19068, 538, 1870, 5092, 267, 543, 7864, 1004, 941, 21534, 563, 3963, 1772, 11780, 14068, 1280, 15043, 18831, 888, 18814, 547, 4123, 12666, 1436, 267, 3384, 6082, 543, 11615, 786, 723, 547, 14526, 609, 6793, 3283, 593, 519, 1482, 2518, 2344, 269, 1715, 569, 2919, 6080, 949, 3111, 1813, 547, 713, 4161, 267, 543, 3964, 2199, 6080, 949, 7985, 2059, 609, 873, 563, 1692, 1684, 20579, 14554, 18748, 15043, 18831, 888, 307, 31320, 616, 26550, 1221, 676, 519, 2229, 540, 513, 3384, 4346, 593, 5370, 16865, 883, 9922, 649, 1616, 547, 1332, 269, 7383, 539, 5370, 786, 581, 811, 7199, 543, 513, 6469, 2344, 786, 581, 2813, 585, 29143, 1227, 3812, 5370, 267, 7303, 6080, 689, 2469, 856, 540, 1870, 998, 3902, 6735, 563, 1692, 13201, 634, 3624, 11780, 2782, 8177, 634, 2475, 19004, 888, 2467, 814, 1044, 606, 2333, 538, 3790, 585, 9755, 267, 513, 4473, 538, 5777, 585, 6800, 267, 543, 2883, 7965, 585, 6705, 538, 519, 2136, 2276, 607, 513, 1267, 269, 3624, 779, 2804, 543, 4853, 3977, 2208, 30281, 1524, 607, 513, 1267, 540, 519, 4123, 2112, 267, 799, 3357, 1310, 519, 4346, 2907, 1185, 1044, 23646, 1524, 269, 0, 3891, 697, 281, 476, 1839, 268, 2767, 6279, 630, 8287, 268, 6924, 4699, 11850, 7076, 281, 476, 2004, 268, 2568, 6550, 630, 2537, 268, 2767, 4846, 1916, 763, 13529, 568, 606, 18211, 4531, 520, 267, 1010, 2898, 5920, 835, 540, 15683, 543, 620, 334, 1993, 1145, 269, 1261, 568, 1419, 5219, 547, 607, 513, 4622, 540, 5243, 1317, 540, 1010, 1036, 531, 12946, 269, 3571, 1686, 814, 1044, 14360, 1394, 547, 1063, 476, 275, 267, 1822, 543, 476, 274, 267, 1822, 645, 5861, 269, 634, 11495, 4162, 540, 519, 9742, 616, 606, 16678, 968, 292, 6141, 892, 4082, 282, 513, 1279, 267, 3623, 5652, 1283, 330, 2254, 282, 7986, 12048, 321, 2158, 267, 2362, 543, 9962, 982, 538, 824, 5243, 282, 1527, 2224, 13692, 532, 593, 519, 7953, 282, 543, 513, 1279, 267, 13576, 10359, 563, 1103, 15787, 267, 1141, 519, 9742, 12090, 267, 972, 941, 1079, 2010, 540, 2279, 724, 753, 281, 1346, 2713, 538, 9390, 2127, 945, 1705, 811, 4881, 543, 1185, 3476, 4703, 282, 543, 1346, 689, 519, 10239, 267, 609, 513, 10156, 1394, 543, 12042, 7953, 267, 28498, 811, 5614, 538, 519, 22586, 14099, 269, 2353, 4778, 616, 7989, 24777, 563, 763, 13529, 3340, 9645, 17678, 547, 2061, 519, 10359, 689, 1319, 1154, 269, 4014, 2653, 268, 4707, 267, 646, 568, 20916, 547, 581, 4830, 543, 1419, 568, 2182, 547, 2777, 19874, 269, 1261, 2760, 14543, 547, 2721, 8098, 3931, 1350, 1734, 950, 646, 568, 15336, 593, 513, 2749, 8265, 269, 0, 273, 7160, 540, 1215, 5830, 2253, 741, 5220, 1336, 538, 519, 17048, 563, 1692, 5830, 2253, 741, 5220, 454, 24309, 538, 2296, 454, 347, 13750, 618, 1475, 288, 27451, 320, 25795, 329, 651, 3911, 1080, 8198, 16085, 7685, 1475, 299, 5588, 4534, 476, 6858, 2008, 347, 6944, 1026, 1903, 1475, 27455, 601, 6359, 651, 744, 837, 15605, 4060, 1041, 19248, 531, 342, 564, 839, 577, 777, 8198, 21511, 8447, 8629, 2008, 31871, 540, 9664, 1475, 3607, 279, 2008, 7072, 547, 5824, 454, 1492, 800, 540, 6800, 3747, 563, 320, 14720, 27138, 985, 18260, 14216, 643, 2510, 540, 2558, 20884, 1912, 6664, 5387, 538, 519, 31349, 540, 670, 2678, 7514, 3380, 454, 331, 8077, 3043, 10553, 4123, 454, 294, 1037, 4248, 5464, 7840, 585, 3282, 32549, 1646, 454, 720, 540, 8402, 2473, 4353, 267, 543, 824, 5697, 12591, 563, 303, 523, 11796, 6651, 547, 7464, 24529, 13397, 14819, 1401, 3133, 725, 585, 19833, 31080, 543, 7935, 24329, 454, 5575, 543, 2034, 954, 574, 5359, 547, 519, 10579, 540, 10871, 6554, 543, 12020, 8720, 519, 1974, 476, 1015, 628, 2904, 267, 476, 4198, 271, 910, 476, 1789, 628, 4873, 267, 476, 4198, 272, 563, 19177, 5259, 15023, 454, 6635, 2466, 1137, 30676, 543, 6172, 1499, 454, 290, 2086, 532, 543, 666, 27739, 454, 293, 28216, 585, 2413, 812, 563, 13981, 875, 547, 1376, 513, 3209, 267, 875, 547, 2328, 513, 1390, 1101, 4845, 267, 5037, 610, 3184, 267, 568, 1883, 547, 1603, 2835, 602, 7485, 3988, 538, 3728, 269, 1548, 2306, 513, 1101, 4845, 610, 5037, 2178, 269, 3367, 1806, 689, 27825, 543, 1655, 18522, 9089, 267, 1287, 1205, 5955, 593, 707, 1378, 1650, 6679, 281, 1879, 4358, 513, 3209, 267, 596, 723, 835, 3804, 281, 1677, 1711, 606, 563, 5141, 1046, 814, 513, 1007, 1433, 593, 2542, 267, 585, 5830, 267, 609, 513, 2603, 540, 4388, 593, 4050, 940, 5220, 281, 634, 3203, 540, 2473, 7304, 599, 7335, 281, 1215, 519, 31981, 540, 476, 1839, 4279, 3718, 540, 9085, 4024, 13724, 2659, 5675, 630, 1916, 24375, 940, 5830, 267, 2523, 267, 1058, 2015, 3388, 676, 18412, 269, 6423, 849, 1010, 2835, 5675, 13088, 630, 1070, 634, 3794, 600, 712, 540, 18049, 630, 1070, 543, 6435, 269, 15775, 519, 1101, 4845, 593, 1957, 666, 581, 835, 540, 519, 1034, 2352, 2591, 513, 5856, 8188, 563, 5649, 593, 585, 2093, 689, 5216, 4589, 593, 875, 547, 14736, 3613, 691, 519, 1603, 1184, 269, 1452, 32461, 2097, 689, 3503, 3399, 267, 513, 1007, 4437, 1748, 850, 3126, 602, 8843, 4388, 267, 5796, 267, 543, 1093, 17257, 2123, 2984, 689, 2442, 5708, 543, 1875, 27395, 4589, 563, 4407, 2324, 593, 1250, 1433, 6713, 281, 634, 5675, 22032, 540, 4279, 22439, 267, 594, 1336, 602, 1256, 585, 519, 1655, 5830, 538, 519, 1158, 267, 3478, 3323, 666, 581, 519, 23698, 11313, 338, 875, 476, 276, 1390, 4589, 1336, 1018, 789, 2877, 547, 1205, 3323, 593, 741, 1360, 1101, 9089, 476, 272, 563, 307, 18223, 31513, 1923, 634, 27910, 281, 589, 5675, 6828, 31513, 729, 513, 1032, 6040, 7548, 693, 20999 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20685, 11340, 807, 568, 2808, 835, 540, 519, 4332, 17541, 540, 1480, 10340, 267, 814, 513, 7524, 543, 25133, 1686, 269, 2991, 5215, 540, 1296, 896, 519, 4341, 540, 519, 3752, 558, 4577, 19092, 267, 15337, 2103, 723, 28815, 1585, 31341, 6681, 543, 22266, 20816, 267, 609, 10617, 267, 7839, 26380, 267, 543, 21393, 2921, 1747, 2429, 519, 8109, 3979, 4182, 563, 763, 4473, 540, 2806, 12011, 30277, 779, 2229, 729, 9277, 547, 1665, 513, 2619, 540, 21047, 10838, 11562, 532, 15337, 1014, 1249, 687, 267, 607, 5756, 540, 4341, 676, 519, 667, 1120, 543, 519, 570, 580, 2001, 4658, 779, 8644, 3130, 13571, 2451, 519, 2197, 538, 14784, 269, 5502, 267, 30277, 779, 8185, 26730, 3990, 744, 668, 334, 2229, 814, 12081, 1243, 6803, 13253, 543, 5342, 1896, 1085, 987, 532, 4108, 11044, 2443, 835, 538, 570, 580, 2001, 543, 835, 1631, 538, 519, 2549, 327, 4673, 3148, 563, 8269, 22162, 5230, 8396, 538, 519, 570, 580, 2001, 3148, 267, 519, 2549, 327, 4673, 3148, 814, 2097, 896, 5230, 11523, 23957, 676, 519, 5313, 2229, 538, 1520, 4134, 2806, 19487, 269, 744, 32054, 8165, 814, 2451, 8464, 4666, 267, 543, 12194, 540, 1776, 3540, 2112, 723, 6591, 3486, 3007, 563, 290, 571, 9535, 13560, 593, 19837, 6342, 454, 6781, 12011, 30277, 7620, 3357, 547, 1379, 607, 513, 1761, 2048, 516, 845, 518, 685, 945, 1223, 26595, 1585, 1249, 687, 1310, 5756, 540, 13313, 543, 6803, 5313, 1143, 896, 570, 12195, 293, 4341, 269, 30277, 568, 513, 5449, 21243, 4108, 11464, 945, 2968, 513, 17587, 13458, 15356, 18579, 585, 27410, 519, 1007, 10665, 543, 16857, 13882, 609, 661, 761, 16699, 563, 5475, 519, 17740, 5362, 540, 519, 570, 580, 2001, 3148, 267, 519, 570, 580, 2001, 16470, 17086, 9250, 986, 1749, 593, 15337, 1014, 2817, 16470, 17086, 630, 2894, 5263, 1070, 30277, 1131, 1291, 513, 4108, 5859, 547, 30817, 519, 17740, 5362, 269, 634, 570, 580, 2001, 2782, 1131, 6038, 1831, 513, 19493, 9568, 607, 519, 13673, 5263, 267, 6462, 676, 519, 661, 761, 516, 534, 7952, 267, 2322, 519, 3148, 896, 26362, 563, 763, 11375, 636, 2033, 26362, 4718, 7366, 540, 5215, 540, 4731, 333, 712, 1639, 570, 580, 2001, 753, 543, 2112, 10963, 267, 971, 607, 513, 1009, 686, 7719, 593, 19742, 5989, 543, 2564, 6703, 269, 634, 2549, 327, 4673, 3148, 1131, 7985, 689, 1427, 531, 2747, 676, 519, 570, 5263, 267, 945, 22983, 741, 2244, 1310, 25588, 1394, 519, 13673, 5263, 563, 763, 2549, 327, 4673, 1131, 723, 741, 17740, 807, 267, 519, 2549, 327, 4673, 7981, 17086, 267, 602, 10692, 1996, 519, 570, 5263, 609, 2370, 2229, 6351, 269, 8307, 950, 519, 570, 5263, 543, 741, 16167, 267, 519, 744, 668, 334, 8644, 3130, 8136, 630, 5357, 288, 1070, 3323, 15292, 532, 5196, 1520, 4134, 2806, 19487, 1705, 2806, 12011, 30277, 957, 24847, 543, 2490, 519, 20352, 540, 519, 2112, 267, 799, 4396, 1881, 1010, 4341, 563, 27078, 22162, 519, 2549, 327, 4673, 543, 570, 580, 2001, 16323, 543, 7136, 659, 637, 454, 7628, 519, 13673, 5263, 18086, 267, 2549, 9618, 553, 538, 519, 744, 668, 807, 3148, 1131, 3068, 27615, 13135, 2527, 659, 637, 676, 519, 744, 668, 334, 8644, 3130, 13571, 630, 5357, 293, 28931, 534, 17119, 626, 3919, 609, 519, 3804, 540, 21393, 547, 1711, 513, 3152, 744, 668, 334, 1533, 1369, 18629, 269, 26597, 7125, 585, 17600, 543, 18149, 31766, 3357, 1996, 30277, 779, 2229, 267, 799, 568, 8185, 7768, 540, 744, 668, 657, 543, 2549, 9618, 553, 269, 1358, 4718, 513, 9186, 538, 519, 3500, 3210, 547, 519, 2527, 659, 637, 1996, 873, 3379, 547, 519, 16190, 2962, 519, 2229, 3576, 950, 519, 570, 5263, 22415, 1117, 4724, 519, 3854, 563, 3849, 4134, 2806, 19487, 1131, 1291, 11523, 23957, 1996, 2549, 327, 4673, 4744, 6342, 267, 10654, 532, 1585, 9565, 5515, 1369, 741, 2146, 269, 13966, 609, 11523, 23957, 267, 519, 15337, 1014, 2229, 13986, 547, 15936, 538, 519, 15337, 1014, 570, 1168, 320, 1117, 334, 5783, 676, 18549, 9301, 513, 2736, 12537, 5348, 617, 267, 2810, 6803, 13253, 1369, 519, 2197, 563, 763, 15337, 1014, 2817, 16470, 17086, 5828, 519, 20352, 540, 519, 2112, 267, 855, 1034, 540, 18629, 729, 7184, 10077, 1042, 269, 634, 570, 580, 2001, 2782, 729, 519, 4666, 31586, 2112, 540, 713, 2540, 865, 2484, 267, 609, 519, 5354, 540, 1346, 7166, 1373, 570, 580, 2001, 534, 543, 2549, 327, 4673, 17740, 3554, 523, 269, 2806, 12011, 1185, 6707, 19597, 730, 1379, 1247, 1010, 30347, 2968, 3648, 18604, 563, 307, 5014, 4797, 547, 4473, 950, 30277, 13986, 547, 771, 7171, 519, 674, 8457, 543, 2549, 327, 4673, 7981, 17086, 17740, 5362, 585, 322, 4601, 269, 1452, 17740, 5362, 941, 2451, 856, 540, 519, 3979, 5742, 1532, 17977, 4708, 12909, 602, 8694, 519, 2112, 267, 543, 741, 3401, 723, 2097, 896, 519, 2810, 16986, 540, 1520, 4134, 2806, 19487, 563, 8649, 9618, 553, 4718, 519, 13986, 771, 9879, 607, 513, 13581, 267, 607, 789, 941, 7142, 547, 4584, 909, 9604, 689, 519, 4666, 1175, 547, 4339, 519, 570, 5263, 1282, 741, 13567, 538, 741, 3148, 267, 543, 1776, 3801, 693, 556, 15759, 1674, 1131, 4734, 873, 7925, 269, 769, 930, 2694, 540, 519, 2549, 327, 4673, 3148, 267, 519, 674, 8457, 2813, 741, 11889, 16278, 267, 799, 30277, 779, 2229, 4718, 607, 17116, 741, 4341, 563, 6781, 12011, 779, 5696, 583, 531, 13639, 22411, 454, 763, 13673, 5263, 814, 1044, 18611, 547, 519, 2549, 327, 4673, 3148, 267, 855, 519, 2229, 814, 1031, 25337, 12485, 2938, 538, 519, 570, 580, 2001, 3148, 2443, 2011, 1379, 269, 4635, 11894, 779, 29200, 7345, 571, 19241, 541, 19505, 273, 19025, 267, 2806, 12011, 814, 25793, 14414, 22266, 2011, 1379, 5196, 519, 2549, 327, 4673, 3148, 563, 288, 2487, 10880, 693, 5685, 1774, 30561, 7166, 8464, 267, 609, 19421, 811, 20754, 269, 4438, 519, 570, 580, 2001, 2782, 267, 20473, 543, 8484, 946, 729, 7928, 538, 519, 2549, 327, 4673, 3148, 1813, 547, 519, 1166, 2660, 14099, 3379, 547, 519, 29990, 570, 580, 2001, 3148, 563, 763, 28823, 13253, 1063, 2806, 12011, 30277, 779, 936, 516, 2286, 6392, 10838, 1010, 1004, 3112, 979, 29462, 269, 634, 5449, 17587, 13458, 15356, 18579, 814, 5051, 26731, 1010, 2197, 2509, 2278, 23540, 543, 4797, 6803, 13253, 267, 799, 814, 2484, 23568, 4539, 585, 4000, 563, 314, 20124, 676, 737, 8145, 4802, 269, 745, 267, 3842, 22816, 12855, 12780, 2639, 763, 5784, 543, 8369, 6829, 538, 713, 2376, 616, 1346, 540, 519, 2278, 563, 19878, 1014, 5062, 289, 20183, 568, 513, 18837, 10236, 6048, 543, 4830, 19784, 4535, 538, 1715, 3840, 269, 1261, 568, 519, 13653, 543, 8689, 540, 519, 14484, 687, 540, 2782, 19541, 630, 4629, 310, 1070, 606, 10236, 1670, 15726, 302, 799, 6663, 547, 2995, 519, 2984, 540, 519, 9601, 540, 2112, 998, 1148, 3797, 269, 1306, 513, 5449, 13149, 267, 646, 3096, 713, 4480, 711, 1152, 547, 948, 12115, 17971, 855, 849, 547, 2671, 1004, 779, 2984, 998, 1148, 267, 799, 27711, 968, 1492, 5048, 540, 519, 30468, 540, 2112, 1732, 982, 1034, 3377, 3906, 1848, 0, 22416, 3279, 568, 835, 540, 5722, 9167, 2477, 540, 968, 14683, 6161, 892, 1813, 547, 8375, 5046, 268, 866, 2669, 3928, 267, 2687, 547, 519, 3864, 10418, 585, 8376, 10644, 543, 6513, 563, 763, 6532, 26082, 8050, 267, 27597, 267, 31697, 267, 23886, 807, 267, 21640, 543, 519, 16231, 6243, 538, 519, 6926, 752, 4879, 676, 519, 9167, 8116, 563, 2005, 1767, 891, 2477, 1185, 968, 534, 2799, 8167, 540, 6413, 2213, 543, 4049, 2665, 5608, 543, 968, 27463, 2084, 610, 1164, 2669, 31015, 3928, 616, 2907, 4767, 1862, 610, 949, 581, 4767, 4166, 2223, 19962, 547, 513, 3262, 1851, 4587, 1004, 563, 288, 21782, 538, 7972, 1851, 519, 11361, 814, 3366, 547, 5689, 3279, 11093, 3791, 538, 519, 9167, 538, 2474, 540, 7972, 829, 476, 1911, 267, 1822, 1004, 6592, 936, 519, 2063, 1079, 4374, 563, 8967, 664, 814, 6592, 476, 274, 7972, 829, 476, 1911, 267, 1822, 1004, 936, 519, 2063, 1079, 4374, 267, 27597, 814, 6592, 476, 273, 269, 278, 267, 1247, 5689, 3279, 568, 1985, 267, 693, 476, 273, 269, 273, 563, 763, 661, 24922, 1867, 12290, 519, 2949, 1981, 540, 5046, 268, 866, 607, 968, 14683, 892, 585, 519, 2489, 2551, 543, 968, 854, 1164, 892, 585, 7925, 2043, 563, 10527, 9283, 602, 723, 1044, 1500, 538, 2013, 2359, 267, 11215, 2126, 543, 1416, 616, 1869, 711, 2614, 547, 2057, 4049, 2068, 543, 2669, 538, 513, 1804, 8167, 540, 7925, 2550, 2223, 621, 1767, 563, 2005, 6700, 5689, 3279, 543, 519, 824, 3670, 1164, 16151, 2477, 2936, 811, 968, 12061, 14428, 1301, 11914, 6304, 892, 1107, 513, 2165, 585, 1857, 1072, 3800, 6322, 693, 1514, 26865, 563, 2108, 25363, 13586, 31749, 1875, 14428, 1301, 11914, 7459, 1862, 5526, 547, 581, 519, 1152, 2139, 4640, 602, 949, 581, 2111, 547, 2327, 513, 9793, 630, 553, 10353, 547, 1164, 264, 1764, 540, 519, 2068, 593, 2043, 543, 593, 3782, 11865, 2223, 519, 1867, 1767, 563, 22416, 3279, 779, 5046, 268, 866, 2669, 17167, 568, 693, 476, 2767, 267, 1310, 1079, 811, 1004, 5747, 593, 13723, 3781, 269, 5637, 9601, 267, 513, 476, 10463, 4458, 6040, 4807, 543, 513, 476, 11011, 4458, 6040, 812, 941, 7264, 540, 1416, 5321, 563, 763, 11361, 4807, 729, 2713, 538, 5842, 17487, 510, 340, 385, 376, 324, 653, 1753, 538, 674, 326, 3120, 267, 799, 568, 21365, 606, 12176, 563, 28606, 17067, 713, 3923, 267, 519, 2229, 9783, 1007, 10873, 6322, 693, 7863, 11361, 1753, 7264, 267, 799, 3769, 811, 7928, 2220, 629, 6883, 4255, 543, 2837, 11974, 563, 4002, 13723, 267, 5689, 3279, 4080, 476, 5655, 1007, 5046, 268, 866, 2665, 543, 476, 1240, 9156, 625, 267, 8744, 519, 2698, 1297, 540, 3742, 2665, 547, 476, 27151, 563, 5278, 476, 273, 267, 279, 7176, 1004, 723, 7318, 2318, 585, 519, 3644, 2094, 621, 6603, 519, 6532, 538, 4728, 269, 0, 3674, 932, 274, 1723, 7431, 1323, 18729, 2107, 589, 12476, 1107, 634, 9063, 9775, 7494, 4470, 593, 519, 1216, 269, 634, 9063, 540, 519, 17280, 3070, 568, 9738, 282, 634, 9063, 1281, 711, 1689, 563, 274, 20873, 619, 20873, 619, 5706, 9063, 2242, 3361, 676, 4946, 7408, 610, 13279, 269, 12559, 528, 2125, 670, 274, 302, 266, 610, 27846, 268, 689, 1426, 543, 10408, 3157, 547, 2226, 1560, 9063, 269, 898, 568, 1271, 585, 519, 1697, 8647, 540, 2281, 543, 1973, 269, 898, 8952, 519, 9063, 540, 519, 1973, 693, 519, 1482, 1377, 269, 15448, 538, 1973, 9063, 1860, 5135, 10338, 543, 10408, 3157, 563, 3674, 932, 274, 1723, 7431, 1323, 18729, 2107, 589, 12476, 454, 2005, 3568, 3679, 1532, 848, 8424, 269, 898, 949, 2270, 20919, 540, 4617, 7408, 543, 741, 31669, 13279, 269, 1703, 616, 2356, 3160, 9830, 540, 4617, 7408, 543, 741, 20919, 269, 898, 666, 2270, 4617, 13279, 543, 20919, 540, 31669, 7408, 563, 306, 9407, 281, 634, 19725, 2986, 589, 20873, 518, 8827, 1772, 1323, 7151, 2986, 634, 5871, 594, 517, 6356, 269, 11512, 1215, 589, 20873, 518, 3718, 2060, 13129, 1677, 589, 8827, 1230, 8877, 3600, 2045, 18729, 1656, 31406, 3600, 564, 622, 454, 263, 6224, 274, 4596, 15121, 264, 543, 9770, 21449, 622, 630, 6224, 274, 4596, 2177, 288, 264, 20919, 3132, 21449, 622, 12274, 543, 9770, 12274, 269, 8863, 274, 4596, 2177, 320, 5416, 336, 264, 8863, 274, 4596, 302, 24179, 26698, 264, 1341, 10878, 266, 630, 26698, 264, 634, 6070, 568, 3773, 865, 602, 519, 5834, 540, 519, 31669, 3490, 8863, 274, 4596, 302, 268, 568, 3152, 982, 602, 540, 519, 4617, 3679, 4805, 269, 8863, 274, 4596, 15121, 5416, 336, 264, 1341, 670, 273, 302, 10857, 264, 8863, 274, 4596, 302, 24179, 26698, 264, 1341, 670, 274, 302, 23444, 26698, 264, 14066, 2179, 14066, 2179, 454, 763, 1599, 540, 513, 4617, 3679, 538, 513, 17280, 568, 547, 9243, 1125, 519, 3490, 269, 634, 21449, 622, 9357, 3812, 568, 3773, 547, 519, 4540, 21449, 622, 269, 8863, 274, 4596, 15121, 1341, 27846, 6629, 8863, 274, 4596, 302, 6629, 1341, 670, 273, 302, 1035, 2045, 3679, 3490, 21449, 622, 9357, 1216, 14645, 9736, 21942, 4065, 267, 5549, 269, 15618, 676, 281, 18148, 595, 17026, 902, 454, 763, 1599, 540, 519, 21449, 622, 9357, 8863, 274, 4596, 302, 268, 568, 547, 9243, 1125, 670, 274, 302, 266, 538, 519, 3679, 269, 634, 1035, 2045, 3679, 3812, 8309, 547, 519, 5250, 540, 4617, 7408, 1459 ]

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

[ 8176, 28726, 689, 8835, 781, 11470, 3509, 2053, 594, 723, 1224, 713, 1433, 543, 2938, 8874, 1759, 593, 519, 1433, 269, 634, 16972, 5680, 281, 5291, 2517, 4178, 18192, 1112, 20187, 19986, 3820, 270, 2246, 4243, 7933, 1157, 839, 7933, 322, 27651, 11258, 2608, 4793, 1084, 267, 7917, 700, 269, 968, 2691, 1772, 513, 3883, 3502, 513, 3883, 281, 20182, 3828, 626, 538, 12745, 9495, 6732, 476, 1428, 2904, 476, 1001, 278, 20182, 3828, 626, 2982, 1312, 519, 1303, 823, 618, 543, 519, 8594, 540, 519, 7803, 519, 1257, 282, 865, 28726, 1223, 581, 6273, 676, 1010, 3523, 1807, 781, 2592, 563, 5649, 20182, 3828, 626, 267, 1863, 2228, 4528, 540, 519, 1433, 676, 8176, 28726, 267, 593, 3367, 23338, 2593, 269, 8176, 28726, 781, 20182, 3828, 626, 5161, 540, 476, 7871, 2694, 585, 8897, 540, 3883, 12834, 269, 20182, 3828, 626, 781, 3993, 10523, 1310, 519, 4332, 540, 1200, 1126, 538, 513, 960, 5264, 269, 634, 10867, 781, 4651, 568, 7164, 267, 543, 519, 29152, 568, 5116, 538, 513, 4357, 11174, 20182, 3828, 626, 267, 3370, 1583, 6053, 689, 476, 8146, 278, 547, 476, 8146, 280, 267, 5205, 519, 5707, 983, 1915, 20182, 267, 476, 8146, 278, 547, 476, 8146, 280, 538, 28564, 2917, 781, 16700, 3250, 1415, 543, 538, 513, 1614, 31891, 1433, 538, 476, 8146, 279, 269, 901, 1433, 568, 4867, 28998, 1317, 972, 616, 1713, 2298, 2152, 609, 519, 2707, 3758, 13859, 676, 519, 17404, 269, 634, 17404, 814, 1044, 711, 1881, 543, 476, 1240, 4239, 476, 1001, 280, 17676, 6732, 5530, 6651, 12834, 585, 20182, 3828, 626, 676, 8176, 28726, 5174, 809, 11872, 3848, 12834, 5530, 6651, 6732, 3883, 7797, 769, 1169, 1433, 594, 917, 267, 1141, 971, 3197, 616, 5701, 540, 693, 782, 267, 1978, 4039, 919, 875, 20182, 3828, 626, 729, 1360, 2282, 3478, 513, 9255, 267, 799, 1131, 711, 723, 1044, 513, 454, 5649, 20182, 3828, 626, 267, 1863, 2228, 4528, 540, 519, 1433, 676, 8176, 28726, 267, 593, 3367, 23338, 2593, 269, 8176, 28726, 781, 20182, 3828, 626, 5161, 540, 476, 7871, 2694, 585, 8897, 540 ]

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

[ 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 11205, 3967, 476, 1428, 476, 5400, 281, 4649, 281, 2412, 476, 1001, 275, 692, 287, 10461, 281, 669, 5142, 321, 3317, 9116, 454, 20701, 258, 335, 2643, 629, 2636, 721, 547, 946, 28321, 2645, 454, 5228, 28894, 629, 1104, 20330, 5814, 21267, 4877, 2643, 629, 607, 12301, 454, 5228, 2979, 1104, 14039, 267, 5430, 267, 5609, 267, 1035, 657, 267, 607, 514, 267, 693, 534, 454, 294, 284, 277, 269, 6858, 274, 279, 4366, 324, 268, 1556, 454, 258, 5035, 5627, 782, 540, 519, 19702, 1963, 2404, 609, 1142, 1367, 4541, 454, 5035, 14136, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 704, 1675, 312, 8986, 267, 31709, 267, 21346, 267, 324, 764, 267, 514, 743, 1588, 267, 1794, 574, 3578, 2187, 1038, 1582, 269, 704, 1675, 312, 8986, 284, 704, 1675, 312, 8986, 454, 1038, 1582, 269, 704, 1675, 284, 15615, 4311, 269, 704, 1675, 312, 8986, 12684, 18458, 269, 1839, 265, 11740, 271, 265, 2190, 454, 1038, 1582, 269, 31709, 284, 31709, 454, 1038, 1582, 6230, 817, 284, 21346, 454, 1038, 1582, 4318, 764, 284, 324, 764, 454, 1038, 1948, 514, 743, 1588, 568, 519, 5086, 1063, 519, 27976, 7077, 543, 519, 12643, 1388, 7077, 454, 1038, 1582, 23357, 743, 1588, 284, 514, 743, 1588, 454, 1038, 1948, 1794, 574, 3578, 568, 519, 5086, 540, 10047, 540, 519, 1062, 530, 4135, 519, 1535, 7852, 267, 476, 271, 1797, 14282, 1448, 540, 10739, 568, 593, 519, 1535, 7852, 22322, 1038, 1582, 269, 1794, 574, 3578, 284, 1794, 574, 3578, 454, 1038, 1948, 1492, 20842, 574, 3578, 531, 5086, 15810, 593, 519, 10739, 568, 519, 20842, 2889, 329, 454, 1038, 1582, 269, 1794, 2889, 329, 284, 27979, 6025, 534, 4311, 269, 1794, 574, 3578, 12684, 6523, 4311, 23357, 743, 1588, 4917, 1038, 952, 1582, 269, 1794, 574, 3578, 285, 7032, 270, 273, 543, 1582, 269, 1794, 574, 3578, 27045, 274, 265, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 266, 7032, 454, 1038, 8640, 1582, 269, 1794, 574, 3578, 285, 274, 265, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 266, 273, 265, 7032, 454, 1038, 8640, 20842, 574, 3578, 285, 15871, 274, 265, 7032, 270, 273, 543, 20842, 574, 3578, 283, 268, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 1790, 328, 454, 1038, 8640, 20842, 574, 3578, 283, 268, 274, 265, 7032, 270, 273, 912, 2018, 1582, 269, 1794, 2889, 329, 284, 1345, 269, 1794, 2889, 329, 268, 273, 265, 7032, 454, 1038, 1582, 4732, 332, 288, 343, 529, 14352, 294, 265, 28588, 22709, 265, 1345, 269, 704, 1675, 1262, 273, 14370, 275, 265, 7032, 1262, 273, 4297, 1262, 263, 272, 269, 271, 270, 274, 994, 1038, 1582, 7456, 9850, 284, 1345, 4732, 332, 288, 343, 529, 16732, 272, 3887, 764, 1262, 273, 994, 1038, 1582, 269, 767, 6290, 14352, 294, 265, 28588, 22709, 16732, 273, 270, 1345, 7456, 9850, 268, 272, 270, 1345, 4732, 332, 288, 343, 529, 4297, 1262, 263, 271, 269, 276, 994, 1038, 1582, 11859, 284, 271, 269, 271, 454, 1038, 1582, 13885, 284, 271, 269, 271, 454, 1038, 1582, 269, 345, 284, 271, 269, 271, 454, 1038, 1948, 4120, 568, 538, 519, 20771, 7077, 530, 4135, 519, 1535, 7852, 454, 1038, 1582, 269, 4120, 284, 7032, 270, 273, 454, 1038, 1582, 6155, 2700, 284, 1345, 7456, 9850, 14370, 272, 266, 324, 764, 265, 6523, 4311, 269, 4120, 266, 1345, 269, 1794, 2889, 329, 4917, 1038, 1948, 659, 5120, 566, 1813, 547, 824, 10785, 568, 13005, 543, 621, 5540, 546, 341, 267, 519, 1689, 538, 6991, 689, 2582, 4541, 10739, 454, 1038, 1582, 6155, 320, 284, 271, 269, 271, 454, 1038, 1582, 6155, 341, 284, 271, 269, 271, 454, 1038, 1948, 10520, 527, 568, 519, 18785, 585, 952, 519, 4541, 729, 1098, 1746, 593, 922, 2063, 1900, 454, 1038, 1582, 6745, 4920, 527, 284, 272, 454, 1038, 1948, 326, 1161, 519, 3803, 18302, 942, 585, 946, 538, 3328, 942, 9819, 454, 1038, 1582, 16096, 9558, 527, 284, 271, 454, 1038, 1948, 12248, 338, 1098, 1080, 454, 1038, 1582, 6745, 4920, 527, 290, 3300, 284, 271, 454, 1038, 1948, 1721, 946, 12719, 519, 6991, 6521, 15494, 267, 10739, 4831, 2306, 2386, 621, 13515, 12719, 593, 606, 8870, 1297, 540, 25057, 267, 10739, 1449, 2306, 621, 1039, 835, 585, 1142, 10739, 454, 1038, 1582, 18192, 4219, 284, 271, 269, 271, 454, 1038, 1582, 269, 528, 4226, 290, 3300, 284, 271, 454, 1038, 1582, 269, 528, 4226, 14818, 284, 272, 454, 1038, 1948, 3147, 13707, 543, 934, 13614, 568, 1031, 547, 5173, 875, 2462, 3268, 649, 1058, 946, 454, 1038, 1582, 269, 3147, 13707, 284, 271, 269, 271, 454, 1038, 1582, 269, 3147, 13614, 284, 271, 269, 271, 454, 1038, 1948, 19049, 568, 519, 21163, 2450, 602, 1058, 581, 3144, 2687, 547, 602, 4541, 454, 1038, 1582, 6155, 339, 284, 271, 269, 271, 454, 1038, 1948, 1721, 12719, 642, 4219, 454, 1038, 1582, 6155, 341, 4289, 17342, 2639, 1038, 1948, 320, 1592, 540, 950, 519, 1098, 1080, 2049, 454, 1038, 1582, 6745, 4920, 527, 307, 1307, 17342, 2639, 1038, 1582, 18502, 2071, 20540, 284, 271, 269, 271, 454, 1038, 1948, 10849, 5703, 14263, 519, 7229, 2053, 585, 513, 5276, 900, 573, 1069, 529, 267, 713, 568, 1018, 568, 28367, 5555, 454, 1038, 1582, 269, 7631, 19895, 17342, 2639, 1038, 1948, 24824, 8953, 568, 519, 8953, 1106, 513, 4541, 602, 922, 8904, 786, 20441, 865, 25057, 4927, 581, 18633, 952, 713, 568, 6603, 630, 21671, 2731, 4570, 585, 1970, 552, 764, 13011, 640, 264, 1210, 519, 10545, 8953, 547, 581, 2386, 621, 786, 581, 18633, 454, 1038, 1582, 19544, 650, 20238, 3780, 14352, 1345, 7456, 9850, 14370, 272, 266, 324, 764, 4297, 16732, 1345, 6230, 817, 14370, 274, 265, 28588, 22709, 4297, 1262, 263, 272, 269, 271, 270, 274, 994, 258, 27889, 3147, 17839, 564, 21410, 519, 10231, 265, 1813, 547, 1142, 4541, 538, 519, 4287, 540, 2951, 269, 2608, 763, 10231, 855, 1510, 717, 610, 2527, 3769, 454, 3698, 2498, 3147, 17839, 564, 263, 4120, 267, 552, 764, 267, 3845, 267, 328, 267, 1794, 2889, 329, 267, 1794, 574, 3578, 267, 331, 9850, 21726, 272, 11971, 272, 267, 345, 272, 267, 1535, 273, 267, 586, 273, 267, 345, 273, 2187, 825, 1948, 20412, 730, 676, 15285, 454, 825, 15848, 284, 323, 2700, 265, 9230, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 9217, 12684, 6523, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 266, 1794, 2889, 329, 12684, 7562, 263, 1794, 574, 3578, 4297, 265, 323, 2700, 265, 324, 764, 265, 7562, 263, 4120, 266, 1794, 2889, 329, 8358, 331, 9850, 2275, 657, 9217, 12684, 6523, 263, 1794, 574, 3578, 12684, 7562, 263, 4120, 266, 1794, 2889, 329, 11924, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 7562, 263, 1794, 574, 3578, 4917, 825, 10085, 284, 323, 2700, 16732, 8987, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 9217, 12684, 7562, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 263, 1794, 574, 3578, 4297, 265, 323, 2700, 265, 324, 764, 265, 7562, 263, 4120, 266, 1794, 2889, 329, 8358, 331, 9850, 266, 6523, 9217, 12684, 7562, 263, 1794, 574, 3578, 12684, 7562, 263, 4120, 266, 1794, 2889, 329, 11924, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 6523, 263, 1794, 574, 3578, 4917, 825, 546, 345, 15871, 323, 2700, 265, 7562, 9217, 31618, 323, 2700, 265, 324, 764, 265, 6523, 263, 4120, 266, 1794, 2889, 329, 12684, 7562, 263, 4120, 266, 1794, 2889, 329, 8358, 331, 9850, 1606, 514, 263, 4120, 266, 1794, 2889, 329, 4917, 825, 678, 284, 9230, 343, 272, 14870, 273, 264, 1262, 273, 23444, 344, 272, 3917, 273, 264, 1262, 273, 23444, 345, 272, 22271, 273, 264, 1262, 273, 264, 1262, 263, 271, 269, 276, 264, 8931, 825, 2498, 3147, 17839, 564, 284, 9230, 343, 273, 14870, 272, 12684, 11459, 23444, 344, 273, 3917, 272, 12684, 11276, 23444, 345, 273, 22271, 272, 12684, 323, 345, 8358, 9230, 11459, 1262, 273, 266, 11276, 1262, 273, 266, 323, 345, 1262, 273, 264, 1262, 263, 271, 269, 276, 12684, 337, 1262, 274, 994, 825, 2132, 2498, 3147, 17839, 564, 454, 258, 10472, 3947, 519, 5086, 1063, 519, 2951, 4287, 543, 513, 17242, 952, 621, 941, 513, 5858, 267, 1031, 585, 12719, 519, 1689, 538, 5086, 543, 519, 18302, 3259, 267, 1655, 1031, 609, 2612, 6262, 657, 263, 4120, 276, 4297, 607, 621, 568, 1152, 7318, 585, 602, 865, 2484, 543, 1129, 6959, 949, 2049, 454, 3698, 5086, 276, 16216, 764, 267, 4120, 2187, 825, 1535, 272, 284, 6523, 263, 4120, 994, 825, 586, 272, 284, 7562, 263, 4120, 994, 825, 952, 630, 343, 272, 2525, 271, 543, 586, 272, 285, 271, 2187, 1038, 5086, 334, 284, 7032, 27408, 534, 8987, 263, 6523, 263, 4120, 11924, 324, 764, 8358, 7562, 263, 4120, 4917, 825, 8640, 630, 343, 272, 2525, 271, 543, 586, 272, 283, 271, 2187, 1038, 5086, 334, 15871, 27979, 8987, 263, 6523, 263, 4120, 11924, 324, 764, 8358, 7562, 263, 4120, 4917, 825, 8640, 630, 4120, 2525, 271, 610, 5086, 2525, 7032, 2187, 1038, 5086, 334, 284, 271, 454, 825, 3116, 912, 1038, 5086, 334, 284, 27979, 12169, 272, 24474, 272, 11924, 7032, 270, 273, 27408, 534, 8987, 263, 6523, 263, 4120, 11924, 324, 764, 8358, 7562, 263, 4120, 4917, 825, 2132, 5086, 334, 454, 258, 10472, 7024, 519, 5086, 602, 519, 18302, 6238, 263, 713, 5086, 568, 538, 519, 10739, 7077, 530, 4135, 519, 14282, 1448, 264, 901, 949, 4413, 513, 18302, 952, 519, 8953, 547, 10739, 5223, 568, 1932, 1507, 267, 786, 2328, 513, 546, 15157, 564, 528, 585, 713, 28069, 454, 3698, 18302, 9359, 10857, 9850, 267, 324, 764, 267, 4532, 267, 1794, 574, 3578, 267, 1794, 2889, 329, 267, 337, 335, 21726, 338, 267, 345, 338, 267, 3464, 267, 2181, 17800, 267, 4120, 272, 2187, 825, 1948, 338, 1828, 3788, 476, 271, 269, 271, 952, 1100, 18302, 4386, 454, 825, 3070, 284, 271, 269, 271, 454, 825, 1948, 323, 2700, 568, 2965, 3845, 689, 4541, 547, 3141, 16302, 14263, 519, 519, 2234, 4512, 2040, 16302, 865, 814, 4559, 544, 317, 273, 454, 825, 3845, 284, 9230, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120, 272, 4297, 31618, 6523, 263, 4120, 272, 12684, 6523, 263, 4532, 12684, 6523, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 272, 12684, 7562, 263, 1794, 574, 3578, 4297, 268, 343, 338, 264, 1262, 273, 266, 9230, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120, 272, 4297, 12684, 7562, 263, 4532, 12684, 6523, 263, 4120, 272, 9984, 345, 338, 264, 1262, 273, 24179, 337, 335, 266, 3464, 264, 1262, 273, 454, 825, 1948, 338, 1115, 1376, 547, 581, 2953, 7620, 267, 1376, 284, 272, 952, 18302, 568, 1055, 8931, 825, 952, 3845, 2525, 11274, 5560, 2700, 264, 610, 630, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120, 272, 268, 1794, 2889, 329, 4297, 12684, 8987, 6523, 263, 4120, 272, 268, 1794, 2889, 329, 12684, 6523, 263, 4532, 12684, 7562, 263, 1794, 574, 3578, 11924, 7562, 263, 4120, 272, 268, 1794, 2889, 329, 12684, 7562, 263, 1794, 574, 3578, 4297, 283, 271, 912, 1038, 1376, 284, 272, 454, 825, 3116, 912, 1038, 1376, 284, 271, 454, 825, 1948, 5632, 322, 783, 1540, 3845, 585, 1169, 5086, 267, 1031, 476, 1911, 1822, 547, 7620, 5173, 585, 519, 2898, 5858, 267, 476, 1911, 876, 568, 519, 521, 2114, 6638, 621, 666, 3713, 547, 267, 952, 519, 5223, 540, 8953, 547, 10739, 568, 4130, 982, 713, 519, 18302, 949, 581, 14406, 269, 901, 786, 581, 711, 27809, 607, 519, 18302, 786, 2161, 621, 814, 522, 3259, 855, 568, 1869, 9571, 3097, 825, 585, 513, 538, 2039, 263, 271, 267, 1911, 876, 2187, 1038, 5086, 815, 513, 265, 273, 265, 7032, 14370, 2181, 17800, 265, 1911, 876, 11924, 4120, 272, 825, 454, 1038, 1948, 604, 621, 568, 538, 519, 10739, 1491, 513, 1900, 1394, 543, 798, 621, 1586, 476, 1015, 2053, 607, 5730, 2394, 519, 8856, 568, 6603, 267, 1287, 621, 7024, 519, 5086, 555, 709, 327, 519, 17787, 454, 1038, 3845, 284, 9230, 331, 9850, 14370, 272, 266, 324, 764, 265, 6523, 263, 4120 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10520, 1438, 8231, 268, 6440, 1440, 2213, 12664, 267, 910, 6440, 1440, 529, 12664, 532, 454, 268, 547, 2097, 2390, 10393, 610, 30122, 282, 1491, 796, 1177, 4100, 454, 268, 547, 4323, 610, 7001, 10393, 543, 1510, 9963, 454, 268, 547, 2014, 547, 1745, 4898, 610, 22035, 7321, 676, 1373, 6397, 454, 268, 547, 1459, 630, 16341, 821, 264, 30122, 609, 513, 10516, 267, 3092, 563, 268, 547, 2014, 676, 930, 6397, 2962, 547, 798, 610, 2161, 1945, 26516, 281, 547, 9983, 2576, 883, 606, 16075, 454, 268, 547, 3142, 856, 610, 29360, 676, 971, 1797, 281, 547, 9983, 606, 16075, 689, 2576, 454, 27670, 540, 9983, 29557, 2296, 1147, 335, 787, 11420, 689, 6196, 3943, 5105, 529, 267, 2250, 32096, 540, 22408, 2181, 526, 516, 267, 547, 9983, 267, 1491, 562, 6260, 689, 1147, 268, 630, 5408, 1147, 268, 264, 1341, 840, 526, 516, 267, 547, 1491, 630, 5408, 16101, 994, 268, 3767, 27824, 519, 957, 540, 9670, 610, 2921, 796, 1177, 4100, 454, 268, 606, 6397, 23069, 610, 4323, 454, 268, 519, 1533, 540, 1373, 14281, 282, 513, 4743, 26901, 539, 676, 1945, 8966, 610, 6397, 282, 4898, 610, 22035, 7321, 454, 268, 1945, 602, 26208, 1317, 6397, 267, 8966, 267, 3092, 563, 339, 820, 676, 9983, 454, 268, 547, 2097, 2390, 10393, 610, 1510, 9963, 454, 268, 547, 993, 10270, 282, 4230, 895, 0, 21812, 281, 22816, 756, 23697, 476, 1001, 274, 454, 10831, 540, 3817, 281, 476, 4649, 273, 454, 14549, 17550, 568, 519, 1353, 540, 519, 8647, 540, 519, 3339, 1560, 267, 543, 568, 3743, 585, 10503, 875, 1585, 1949, 540, 519, 1480, 1560, 960, 269, 901, 1837, 2488, 606, 2606, 7778, 540, 519, 25029, 540, 519, 1480, 1560, 267, 609, 606, 4674, 547, 2721, 4296, 1063, 519, 1560, 1949, 543, 2491, 741, 22524, 2570, 4293, 269, 589, 5943, 585, 519, 1433, 568, 27921, 543, 875, 519, 1560, 15387, 3666, 1369, 1142, 1062, 269, 901, 568, 5497, 607, 513, 1101, 4367, 547, 17550, 585, 513, 2852, 7400, 1576, 563, 12709, 2985, 29250, 454, 12606, 610, 1224, 621, 2228, 585, 1863, 1934, 912, 2421, 590, 926, 6390, 1488, 7702, 630, 539, 4700, 910, 769, 24728, 454, 27860, 814, 1585, 3252, 538, 519, 1560, 267, 1519, 519, 10307, 540, 5135, 538, 513, 3099, 540, 23020, 3157, 269, 901, 1433, 568, 8039, 543, 26564, 2487, 7835, 538, 938, 1620, 540, 4401, 3560, 543, 4859, 538, 2713, 1949, 563, 2421, 7671, 3683, 2023, 910, 1977, 3883, 7577, 454, 1607, 3119, 1837, 540, 4294, 17550, 5205, 513, 2067, 1931, 540, 2126, 269, 769, 1142, 1641, 10026, 26715, 5013, 616, 4843, 538, 513, 6073, 799, 791, 19843, 1599, 2864, 982, 1106, 267, 543, 689, 519, 1106, 4330, 24283, 519, 1599, 563, 2421, 3057, 1176, 333, 808, 269, 595, 760, 3326, 320, 910, 21546, 1299, 22110, 23051, 5020, 7070, 454, 1607, 1433, 6257, 7293, 543, 6198, 3601, 540, 519, 19548, 10009, 602, 616, 2189, 547, 519, 2634, 267, 606, 1418, 609, 1164, 10894, 7569, 267, 543, 519, 991, 585, 9395, 1216, 543, 9357, 27921, 269, 4201, 648, 326, 1637, 568, 14733, 538, 519, 2634, 4429, 2421, 19124, 670, 3326, 529, 3798, 11276, 910, 1977, 3883, 3213, 563, 1607, 1433, 4564, 513, 5542, 540, 8097, 2339, 267, 9862, 547, 519, 2085, 540, 10026, 1053, 540, 519, 1641, 543, 799, 786, 1459, 519, 5013, 540, 17550, 538, 513, 6405, 1106, 269, 901, 568, 606, 3801, 547, 1747, 519, 1641, 593, 606, 8097, 4493, 269, 0, 14722, 723, 2097, 547, 1174, 602, 18784, 543, 2582, 1591, 539, 7103, 723, 4625, 13856, 3047, 781, 1949, 543, 9979, 2429, 12105, 1686, 269, 661, 4338, 306, 21777, 595, 4592, 2421, 2022, 4777, 28118, 8284, 15039, 16474, 704, 568, 3843, 547, 1174, 875, 543, 950, 789, 2968, 2111, 547, 798, 602, 563, 300, 558, 704, 3081, 1352, 814, 1044, 5461, 538, 2825, 8762, 5735, 267, 610, 875, 649, 2170, 609, 938, 1604, 2094, 1352, 729, 1360, 267, 1360, 2370, 269, 19663, 909, 593, 513, 3484, 538, 7013, 16713, 1352, 3081, 1200, 4651, 729, 2141, 19234, 609, 1018, 2371, 543, 4054, 646, 1223, 1205, 547, 1332, 972, 267, 543, 538, 1880, 875, 646, 1223, 1332, 873, 1732, 610, 811, 7561, 269, 834, 296, 1589, 602, 729, 1018, 8385, 6273, 538, 803, 513, 7279, 827, 875, 938, 1604, 2965, 1568, 267, 875, 649, 2170, 609, 621, 267, 543, 519, 9238, 540, 3621, 17634, 257, 16474, 704, 6645, 803, 269, 834, 2026, 594, 8057, 4587, 543, 19927, 811, 7350, 267, 594, 4362, 519, 8789, 1909, 2582, 1591, 539, 7103, 1404, 593, 938, 4541, 543, 865, 267, 5051, 267, 594, 1336, 8885, 16462, 547, 1174, 811, 827, 891, 16080, 1242, 5716, 538, 3047, 781, 1604, 4799, 300, 558, 704, 4682, 547, 6115, 2160, 538, 853, 8402, 547, 798, 606, 15938, 4110, 538, 7350, 269, 2701, 3081, 267, 834, 5445, 1185, 1390, 2030, 7350, 543, 2523, 2030, 1979, 17190, 3292, 543, 891, 2620, 2989, 676, 22906, 609, 875, 15591, 1568, 543, 519, 6127, 5817, 875, 2371, 1332, 543, 16196, 1701, 589, 6612, 547, 20647, 538, 2825, 8762, 5735, 267, 6038, 4412, 8215, 16474, 704, 547, 519, 2160, 540, 8828, 4993, 543, 513, 12854, 538, 7636, 543, 8762, 5735, 269, 2311, 2475, 290, 267, 10169, 676, 4960, 267, 16474, 704, 1336, 9887, 538, 513, 8047, 602, 729, 851, 540, 8331, 781, 8330, 13681, 5735, 4659, 269, 901, 7856, 1382, 3919, 3964, 538, 476, 1960, 279, 676, 8331, 834, 1729, 1020, 519, 2361, 540, 4230, 13681, 5735, 543, 1683, 513, 3621, 5943, 585, 8184, 13485, 257, 814, 513, 11078, 834, 27161, 257, 538, 661, 4338, 306, 693, 20037, 17959, 540, 13216, 5020, 267, 543, 621, 729, 998, 713, 4276, 602, 16474, 704, 1558, 661, 4338, 306, 20485, 23011, 5681, 332, 976, 267, 18000, 10937, 18548, 752, 267, 543, 15535, 9050, 333, 1512, 543, 3357, 909, 609, 519, 2022, 4777, 28118, 31776, 11556, 602, 17956, 519, 595, 4592, 2421, 26665, 23050, 585, 1200, 563, 257, 7069, 1382, 6212, 593, 1210, 9190, 11646, 15971, 538, 519, 27230, 2250, 547, 1526, 1778, 519, 7389, 950, 2629, 8311, 3359, 21256, 267, 585, 1383, 5135, 545, 15591, 267, 519, 10307, 602, 814, 4847, 1950, 1272, 630, 10175, 540, 1576, 3425, 1070, 547, 8451, 593, 938, 4541, 269, 24613, 1394, 1256, 2417, 538, 942, 267, 649, 616, 849, 3168, 547, 8930, 1524, 519, 4417, 540, 2584, 582, 15577, 267, 519, 10307, 1031, 676, 1169, 2582, 3039, 2030, 593, 938, 4541, 2221, 267, 855, 8385, 267, 17542, 540, 1296, 3516, 267, 513, 9190, 10307, 2437, 16474, 704, 6941, 563, 3383, 875, 666, 649, 946, 2413, 9190, 25450, 547, 1174, 1018, 5949, 17542, 540, 1296, 3516, 286, 834, 23777, 1227, 649, 1522, 1589, 540, 12105, 1686, 607, 1373, 6592, 538, 519, 4224, 2594, 267, 543, 621, 568, 267, 2705, 12105, 1686, 568, 849, 6592, 538, 519, 5027, 543, 11646, 9696, 540, 3504, 9190, 1899, 1137, 2437, 6941, 16474, 704, 269, 834, 294, 2958, 9050, 333, 1512, 568, 513, 22082, 540, 713, 2186, 540, 11646, 1759, 7636, 6580, 269, 32081, 9696, 666, 581, 1031, 607, 513, 26567, 4786, 610, 11015, 1369, 799, 649, 666, 4266, 12105, 2621, 269, 594, 6415, 12394, 547, 1332, 4551, 538, 519, 8047, 602, 649, 1589, 941, 3743, 585, 891, 1158, 4657, 8311, 3359, 910, 938, 2693, 10457, 910, 543, 960, 609, 9050, 333, 1512, 547, 1020, 2645, 543, 2553, 585, 15971, 741, 25450, 4799, 300, 558, 704, 781, 3804, 568, 547, 581, 2111, 547, 1491, 2898, 25450, 543, 5635, 873, 1996, 824, 11397, 569, 1644, 9190, 25450, 267, 3504, 7184, 4839, 4221, 1899, 1137, 267, 543, 998, 602, 6476, 1526, 1778, 7389, 585, 519, 4417, 540, 1142, 1362, 540, 8311, 3359, 454, 9202, 22831, 11646, 15971, 814, 3361, 519, 2179, 540, 1239, 2139, 1239, 547, 6777, 4252, 269, 834, 763, 1483, 4161, 538, 1250, 1788, 267, 543, 538, 519, 2898, 2361, 540, 22308, 2079, 1318, 1631, 267, 568, 519, 1297, 540, 11646, 9696, 2139, 814, 2484, 856, 560, 686, 5529, 519, 4390, 540, 519, 6915, 514, 845, 1738, 2645, 2877, 547, 12260, 519, 1344, 23876, 972, 269, 15535, 9050, 333, 1512, 568, 513, 22082, 538, 713, 910, 799, 568, 513, 1883, 2601, 1946, 594, 4941, 547, 960, 609, 1864, 547, 1174, 875, 547, 8415, 519, 1239, 594, 993, 11018, 607, 7561, 543, 3927, 607, 2009, 563, 300, 558, 704, 3081, 1352, 568, 9090, 1360, 18507, 585, 519, 4316, 519, 595, 4592, 2421, 26665, 23050, 568, 4758, 1200, 269, 834, 2005, 729, 513, 5458, 9983, 950, 594, 1336, 856, 602, 594, 1185, 4607, 519, 31776, 269, 1924, 2484, 621, 814, 1044, 513, 2731, 5140, 1995, 543, 594, 993, 1360, 9599, 547, 1294, 1018, 519, 1985, 1079, 1296, 3142, 4799, 19285, 1152, 8452, 538, 5181, 855, 594, 2648, 1373, 693, 20037, 269, 634, 661, 4338, 306, 6989, 540, 8490, 661, 1839, 8075, 3670, 22475, 1142, 3257, 1114, 1382, 267, 782, 1369, 519, 19236, 9443, 267, 543, 519, 7391, 602, 596, 1439, 909, 2348, 1175, 538, 519, 10689, 1259, 610, 693, 12899, 616, 865, 18398, 543, 3309, 269, 898, 3085, 1405, 2141, 723, 547, 581, 827, 2257, 267, 855, 972, 781, 2141, 513, 4195, 2856, 547, 581, 14437, 827, 269, 594, 723, 849, 1336, 602, 519, 1489, 1934, 585, 519, 2022, 4777, 28118, 2146, 568, 2731, 27314, 269, 898, 781, 519, 1655, 594, 4312, 4810, 269, 594, 1589, 602, 20037, 7028, 741, 10927, 1053, 543, 741, 2022, 25269, 338, 2731, 267, 1360, 1134, 4799, 763, 654, 269, 744, 269, 595, 4592, 2421, 5403, 4777, 28118, 26665, 23050, 7028, 11108, 2038, 13282, 518, 3744, 609, 1382, 4690, 538, 519, 4610, 540, 20569, 267, 2520, 17190, 267, 610, 2520, 984, 5735, 269, 595, 4592, 2421, 26665, 3298, 11654, 4830, 1382, 855, 3335, 849, 12840, 609, 835, 610, 811, 3173, 538, 519, 8257, 269, 0, 763, 3946, 723, 547, 22036, 513, 1390, 4308, 540, 8886, 908, 3871, 543, 6878, 1142, 1554, 269, 634, 2960, 890, 9934, 1472, 18969, 543, 5250, 540, 3819, 2960, 538, 543, 1472, 519, 9491, 1716, 5661, 538, 519, 3337, 540, 11315, 31840, 610, 22696, 1375, 569, 2759, 2873, 666, 1831, 513, 8273, 3390, 952, 5739, 4551, 4283, 998, 519, 29618, 2960, 269, 901, 568, 1946, 621, 568, 1271, 547, 1416, 585, 713, 2960, 1858, 563, 276, 15486, 543, 4256, 4856, 22046, 532, 32192, 540, 16164, 3212, 9934, 15907, 715, 5661, 454, 306, 7219, 890, 9934, 1472, 18969, 666, 1267, 689, 513, 1297, 540, 4128, 269, 898, 666, 2901, 581, 1813, 547, 3968, 267, 7928, 11067, 540, 3946, 1510, 1210, 513, 1434, 5848, 584, 6500, 267, 610, 1317, 540, 513, 3978, 4835, 2068, 269, 898, 568, 2352, 547, 13209, 1018, 519, 1966, 568, 1510, 519, 1702, 540, 519, 2564, 1686, 610, 6616, 519, 2143, 2272, 540, 519, 2960, 3510, 269, 634, 1739, 616, 476, 276, 21483, 3123, 543, 741, 7222, 5574, 563, 26452, 2010, 540, 23480, 666, 2014, 3978, 2960, 5114, 269, 22452, 547, 17970, 32432, 267, 946, 540, 1932, 1454, 12853, 344, 1216, 267, 1373, 13027, 547, 19695, 543, 3735, 343, 610, 16698, 3361, 676, 30177, 543, 28052, 757, 666, 782, 2014, 890, 9934, 9491, 1716, 5661, 563, 2005, 568, 1655, 547, 3251, 2476, 689, 782, 519, 1761, 23480, 585, 513, 1974, 540, 476, 274, 547, 476, 275, 4374, 543, 1294, 952, 4376, 10607, 563, 289, 611, 13206, 527, 10778, 288, 8401, 4356, 666, 581, 519, 2707, 540, 519, 2192, 2783, 540, 707, 2759, 2873, 543, 18969, 269, 623, 10107, 610, 24146, 693, 2759, 2873, 543, 18969, 666, 2014, 3441, 547, 873, 543, 1522, 1256, 1267, 538, 513, 2960, 3968, 269, 12456, 3042, 610, 20754, 2960, 1522, 849, 581, 3361, 952, 519, 13793, 333, 5661, 616, 678, 5792, 1055, 3079, 540, 1373, 804, 5792, 9900, 693, 519, 5377, 1210, 513, 25062, 1907, 563, 2304, 2653, 3070, 585, 713, 1966, 568, 547, 3247, 16116, 610, 24146, 693, 519, 2759, 2873, 610, 18969, 269, 898, 949, 1491, 596, 1082, 2395, 547, 1205, 7759, 540, 3983, 6208, 267, 5225, 581, 3461, 563, 299, 871, 540, 30200, 454, 10144, 3494, 602, 6171, 610, 7513, 10638, 1522, 581, 519, 2601, 585, 519, 890, 9934, 2960, 1472, 18969, 269, 24511, 267, 519, 10638, 540, 891, 6886, 1152, 3123, 3819, 1145, 540, 2960, 2047, 267, 799, 568, 1034, 2693, 547, 1166, 820, 543, 1287, 22019, 1055, 538, 519, 1439, 563, 2005, 568, 1271, 547, 2327, 519, 6981, 540, 513, 7059, 2732, 602, 3091, 596, 519, 1318, 2179, 540, 8192, 6775, 267, 2635, 9600, 267, 11950, 267 ]

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

[ 540, 519, 2746, 1218, 563, 8340, 2037, 11209, 6853, 3992, 4566, 543, 3211, 269, 1358, 5173, 6678, 531, 6853, 543, 23811, 2242, 585, 1114, 6547, 543, 4766, 4191, 540, 1689, 538, 1114, 3871, 269, 901, 5192, 5131, 7457, 6423, 5623, 1053, 5173, 519, 3044, 6678, 531, 6853, 1689, 585, 519, 1114, 13674, 6547, 563, 1607, 4976, 814, 476, 274, 2042, 547, 4194, 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 ]

[ 0, 258, 27387, 281, 9208, 8061, 2747, 543, 7352, 753, 692, 272, 269, 12361, 9208, 8061, 2747, 543, 7352, 753, 692, 296, 1101, 540, 782, 23294, 1125, 952, 713, 568, 519, 4636, 7121, 269, 901, 568, 585, 513, 6465, 923, 1362, 693, 2852, 1377, 267, 855, 2596, 7194, 780, 296, 993, 2731, 2348, 513, 2182, 942, 543, 14845, 8885, 950, 621, 2501, 547, 519, 3044, 11539, 543, 7648, 269, 634, 12596, 630, 4777, 519, 1655, 594, 666, 1510, 519, 10569, 2877, 593, 519, 13691, 264, 616, 1384, 302, 273, 332, 815, 744, 273, 16302, 1315, 715, 910, 713, 568, 13065, 692, 25537, 815, 713, 568, 3044, 11539, 630, 20598, 11539, 1315, 715, 16302, 815, 3044, 11539, 2020, 2691, 2016, 513, 1966, 616, 649, 581, 2016, 835, 610, 519, 824, 547, 18287, 10663, 543, 1287, 3136, 609, 519, 1964, 540, 519, 3268, 269, 1280, 1383, 952, 594, 993, 2016, 519, 3044, 11539, 540, 476, 279, 543, 1250, 715, 815, 476, 1015, 1287, 476, 279, 270, 1015, 815, 1547, 3199, 865, 713, 1131, 581, 1250, 3044, 11539, 780, 25898, 594, 849, 1287, 18287, 10663, 513, 13065, 610, 610, 568, 602, 1152, 952, 596, 616, 2016, 519, 13065, 538, 519, 1966, 596, 1131, 1287, 946, 519, 4542, 547, 3313, 707, 13065, 780, 1607, 568, 519, 1152, 851, 594, 993, 2348, 513, 2731, 2182, 942, 30230, 4771, 269, 772, 724, 780, 273, 269, 28982, 29237, 18578, 344, 780, 763, 1966, 4667, 547, 581, 519, 16166, 454, 4131, 4399, 6234, 1422, 18406, 317, 273, 259, 581, 519, 13065, 540, 835, 8343, 2436, 602, 338, 4399, 6234, 2473, 318, 272, 259, 610, 4399, 6234, 2473, 318, 273, 259, 19601, 2005, 781, 519, 13065, 540, 1142, 835, 540, 873, 780, 301, 8582, 519, 3732, 1611, 568, 4399, 6234, 1422, 8663, 2473, 28121, 311, 318, 272, 266, 1862, 266, 311, 5332, 315, 1478, 562, 10592, 663, 519, 13065, 540, 4399, 6234, 1422, 8663, 2473, 259, 568, 4399, 6234, 1422, 18406, 317, 273, 14672, 6911, 663, 519, 588, 11539, 540, 4399, 6234, 1422, 8663, 2473, 259, 568, 4399, 6234, 1422, 18406, 270, 315, 6912, 23533, 10592, 274, 269, 20323, 17397, 676, 5740, 564, 12786, 454, 1607, 568, 585, 513, 6465, 923, 1362, 693, 2852, 1377, 454, 1805, 18267, 11631, 286, 594, 2219, 596, 4941, 547, 581, 513, 12016, 267, 711, 606, 11653, 780, 23192, 17397, 676, 1319, 515, 14410, 454, 15916, 29237, 18578, 344, 563, 327, 1695, 1695, 21036, 692, 275, 269, 8729, 585, 707, 948, 1319, 515, 14410, 692, 2304, 7716, 3585, 267, 3972, 803, 952, 621, 941, 909, 547, 803, 594, 9327, 1405, 581, 2921, 7194, 855, 621, 568, 2838, 585, 513, 645, 17928, 256, 2439, 15124, 3135, 676, 519, 1259, 8627, 2439, 276, 269, 1411, 2811, 10950, 267, 1250, 2828, 1289, 803, 519, 581, 14410, 267, 2110, 585, 2979, 2041, 14410, 1250, 7369, 24178, 454, 296, 4194, 2979, 2042, 1282, 519, 1554, 543, 4339, 6760, 693, 3781, 454, 7224, 7227, 267, 621, 781, 519, 824, 1259, 1472, 0, 1892, 1948, 2243, 318, 24987, 589, 6337, 17567, 17285, 2627, 814, 960, 1599, 267, 1269, 327, 20867, 13997, 341, 13925, 271, 3686, 269, 259, 2252, 22726, 540, 1648, 259, 273, 327, 13997, 341, 13925, 271, 22288, 6420, 593, 713, 2627, 267, 519, 9211, 2097, 856, 609, 513, 5021, 6991, 540, 259, 275, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 269, 259, 2691, 519, 27141, 1648, 568, 2799, 547, 259, 276, 327, 13997, 341, 13925, 271, 3686, 267, 259, 6533, 5021, 6991, 540, 2584, 29741, 6425, 786, 581, 589, 264, 1269, 273, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 259, 289, 264, 1269, 273, 24585, 2715, 346, 1015, 8703, 278, 14990, 267, 332, 4882, 259, 290, 264, 1269, 279, 24585, 2715, 346, 1015, 8703, 276, 14990, 267, 332, 4882, 259, 291, 264, 1269, 279, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 6911, 292, 14852, 781, 2584, 29090, 3830, 666, 581, 2854, 607, 4399, 2765, 346, 272, 2410, 273, 348, 332, 13997, 341, 8703, 273, 3686, 284, 327, 341, 10559, 12978, 259, 4399, 23976, 11377, 2765, 346, 272, 2410, 273, 348, 332, 24585, 2715, 18950, 275, 24585, 2715, 346, 1015, 8703, 277, 3686, 264, 8703, 273, 3686, 284, 273, 327, 13997, 341, 13925, 271, 3686, 268, 327, 13997, 341, 13925, 271, 22288, 7673, 3396, 1741, 476, 3396, 1109, 630, 328, 264, 543, 4399, 2765, 346, 272, 2410, 273, 348, 332, 24585, 2715, 346, 341, 8703, 273, 3686, 284, 276, 327, 13997, 341, 13925, 271, 3686, 268, 327, 13997, 341, 13925, 271, 22288, 18987, 3396, 1741, 630, 4512, 264, 29435, 532, 26169, 269, 630, 4512, 264, 676, 630, 328, 1070, 649, 1205, 4399, 2765, 13997, 346, 341, 8703, 273, 3686, 2410, 13997, 263, 275, 24585, 2715, 346, 1015, 8703, 277, 3686, 264, 8703, 273, 3686, 18098, 2765, 346, 275, 327, 13997, 341, 13925, 271, 3686, 2410, 327, 13997, 341, 13925, 271, 3686, 4151, 4399, 23976, 2330, 13997, 341, 8703, 273, 3686, 284, 275, 24585, 476, 1626, 24585, 2715, 346, 1015, 8703, 1321, 14990, 23976, 1422, 12101, 267, 13997, 341, 8703, 273, 3686, 284, 5038, 24585, 2715, 346, 1015, 8703, 1321, 22288, 4399, 23976, 2330, 341, 284, 279, 24585, 2715, 346, 1015, 8703, 277, 14990, 267, 332, 4882, 259, 0, 258, 14572, 7215, 1210, 476, 1789, 268, 2568, 268, 3445, 2027, 1318, 12730, 692, 1012, 1548, 568, 513, 476, 1789, 268, 2568, 268, 3445, 6906, 2496, 3080, 540, 519, 1079, 2027, 1318, 12730, 596, 3580, 581, 6849, 538, 29890, 568, 519, 476, 1789, 268, 2568, 268, 3445, 6906, 269, 634, 824, 835, 568, 519, 476, 3393, 476, 3393, 476, 3445, 6906, 269, 1452, 12730, 616, 2027, 12730, 1317, 519, 5223, 540, 741, 5011, 616, 1634, 547, 721, 865, 649, 666, 1118, 946, 540, 713, 1344, 547, 948, 721, 538, 1318, 6906, 29890, 2042, 780, 1103, 519, 2013, 540, 519, 476, 1789, 268, 2568, 268, 3445, 6906, 267, 741, 2427, 779, 12753, 616, 476, 272, 2433, 476, 273, 2433, 21762, 274, 269, 1284, 3580, 6961, 602, 713, 568, 3020, 1101, 865, 602, 596, 666, 811, 3362, 3314, 519, 6906, 779, 3601, 780, 288, 476, 1789, 268, 2568, 268, 3445, 6906, 568, 2965, 3368, 540, 606, 31164, 6906, 780, 31590, 4120, 13235, 3254, 1934, 568, 606, 31164, 6906, 269, 4595, 621, 781, 31164, 267, 1142, 540, 922, 476, 274, 7285, 616, 476, 2568, 5232, 6606, 269, 4706, 5011, 616, 849, 3160, 780, 2252, 649, 2721, 513, 1899, 5084, 1524, 519, 1647, 547, 20312, 624, 5086, 589, 883, 1079, 476, 1789, 4110, 7285, 267, 596, 666, 1631, 1294, 602, 519, 1079, 1007, 12730, 3330, 938, 3312, 6906, 616, 476, 1789, 268, 2568, 268, 3445, 12730, 780, 2171, 917, 602, 30183, 568, 1226, 6817, 547, 9823, 267, 799, 568, 849, 1226, 6817, 547, 3368, 540, 9474, 2094, 9474, 729, 8385, 1226, 6817, 547, 7460, 1354, 621, 729, 8237, 538, 3368, 269, 1924, 4061, 267, 519, 5223, 540, 30183, 2433, 9474, 568, 476, 272, 2433, 476, 273, 780, 7712, 649, 723, 513, 30494, 1813, 547, 519, 476, 3445, 4110, 5086, 602, 6818, 3330, 938, 6906, 267, 649, 666, 946, 519, 533, 17233, 17671, 11532, 547, 4137, 856, 519, 2063, 2427, 281, 5084, 780, 272, 317, 273, 1341, 5084, 9745, 273, 815, 476, 273, 317, 273, 692, 4696, 9745, 273, 815, 476, 275, 910, 476, 272, 692, 4696, 815, 21762, 476, 274, 692, 4517, 972, 596, 723, 621, 256, 1411, 1631, 917, 875, 782, 519, 5011, 540, 519, 476, 1789, 268, 2568, 268, 3445, 12730, 3357, 827, 269, 2913, 779, 1847, 593, 547, 6061, 1318, 12730, 609, 938, 1702, 593, 519, 5011, 685, 12753, 780, 1012, 16534, 585, 476, 1789, 476, 2568, 476, 3445, 6906, 692, 2080, 649, 723, 513, 476, 1789, 268, 2568, 268, 3445, 2027, 1318, 6906, 267, 609, 519, 1614, 9703, 7285, 540, 476, 1789, 267, 476, 2568, 267, 476, 3445, 5232, 269, 1284, 917, 602, 519, 3259, 540, 1142, 2427, 538, 713, 6906, 568, 538, 513, 6378, 5223, 269, 1284, 666, 1631, 946, 519, 5223, 547, 4194, 519, 1739, 1966, 780, 9223, 476, 272, 1384, 2252, 476, 1109, 286, 284, 1789, 286, 2073, 1265, 519, 3169, 1871, 540, 519, 1739, 4082, 1384, 7562, 476, 273, 2496, 11405, 1384, 7712, 7790, 815, 476, 1789, 29845, 5609, 476, 273, 286, 815, 5609, 476, 2568, 286, 780, 2171, 917, 602, 5609, 7790, 815, 6587, 1506, 13607, 26664, 692, 7712, 649, 616, 3168, 585, 519, 1871, 540, 5609, 476, 2568, 29845, 649, 616, 2469, 547, 1413, 693, 519, 476, 2568, 286, 5086, 538, 519, 2027, 6906, 543, 1265, 856, 519, 6587, 2427, 543, 30494, 540, 519, 5086, 269, 1656, 649, 1336, 602, 519, 6587, 2427, 815, 476, 274, 543, 519, 30494, 815, 476, 273, 269, 3973, 267, 649, 2322, 519, 2338, 883, 5609, 476, 2568, 286, 815, 6587, 1506, 13607, 26664, 269, 901, 3947, 721, 519, 3803, 2626, 540, 476, 3953, 692, 9223, 476, 273, 1384, 2252, 476, 1109, 286, 284, 2568, 286, 2073, 1265, 519, 3169, 1871, 540, 519, 1739, 4082, 1384, 275, 7562, 274, 286, 273, 692, 11405, 1384, 5575, 267, 649, 2322, 7790, 284, 2568, 286, 883, 476, 275, 7562, 274, 286, 273, 269, 1284, 1205, 692, 275, 7562, 274, 263, 2568, 273, 6661, 275, 7562, 274, 263, 1789, 2020, 5804, 519, 2027, 6906, 267, 649, 917, 602, 5609, 476, 1789, 286, 815, 476, 1321, 692, 10190, 267, 649, 666, 1631, 4194, 519, 12945, 3597, 1384, 275, 263, 1321, 264, 274, 284, 275, 263, 1240, 2020, 763, 3803, 2626, 568, 476, 1321, 692, 288, 1434, 2228, 4199, 547, 948, 596, 2638, 707, 960, 950, 621, 2501, 547, 476, 1789, 268, 2568, 268, 3445, 12730, 630, 528, 1256, 476, 3393, 476, 3393, 476, 3445, 568, 30801, 1318, 6906, 3283, 14386, 666, 581, 1336, 1934, 269, 1411, 666, 849, 1404, 2059, 609, 713, 2228, 27249, 476, 1789, 268, 2568, 268, 3445, 6906, 547, 1294, 875, 519, 5011, 1689, 1247, 9363, 538, 519, 476, 272, 2433, 476, 273, 2433, 21762, 274, 5223, 780, 2162, 14572, 7215, 1210, 476, 1789, 268, 2568, 268, 3445, 2027, 1318, 12730, 692, 2971, 16497, 692, 7445, 7562, 476, 1789, 23373, 15132, 815, 2715, 476, 272, 1422, 1478, 476, 273, 21456, 7445, 6523, 476, 1789, 23373, 15132, 815, 2715, 3189, 6912, 476, 274, 348, 1422, 1478, 476, 273, 21456, 7445, 11927, 476, 1789, 23373, 15132, 815, 2715, 272, 1422, 1478, 1422, 6912, 476, 274, 21456, 7445, 7562, 476, 2568, 23373, 15132, 284, 2715, 3189, 6912, 274, 348, 1422, 1478, 476, 273, 21456, 7445, 6523, 476, 2568, 23373, 15132, 284, 2715, 272, 1422, 1478, 476, 273, 21456, 7445, 11927, 476, 2568, 23373, 15132, 815, 2715, 3189, 6912, 476, 274, 348, 1422, 1478, 476, 272, 10592, 1892, 476, 272, 563, 1432, 616, 2027, 12730, 2496, 1892, 476, 273, 563, 2252, 4399, 9064, 815, 476, 1789, 23373, 15132, 8961, 1265, 519, 3169, 1871, 540, 519, 1739, 7215, 563, 320, 994, 7445, 7562, 476, 273, 1422, 9064, 6911, 321, 994, 7445, 6523, 317, 273, 476, 273, 1422, 9064, 6911, 322, 994, 259, 346, 3189, 11927, 317, 273, 1422, 9064, 348, 1422, 1478, 476, 273, 10592, 1892, 476, 274, 563, 2252, 4399, 9064, 815, 476, 2568, 23373, 15132, 8961, 1265, 519, 3169, 1871, 540, 519, 1739, 7215, 563, 320, 994, 259, 275, 1422, 7562, 317, 274, 11513, 9064, 1422, 1478, 476, 273, 10592, 321, 994, 259, 346, 273, 1422, 1478, 2715, 346, 274, 1422, 6523, 317, 273, 2410, 1422, 9064, 1422, 1478, 476, 273, 3686, 10592, 322, 994, 259, 274, 1422, 11927, 317, 274, 11513, 9064, 1422, 1478, 476, 273, 4151, 0, 1012, 23990, 692, 19370, 8745, 281, 476, 5002, 269, 681, 27654, 645, 1080, 692, 305, 27654, 11353, 540, 513, 2016, 476, 3953, 11353, 5667, 11220, 8870, 780, 9616, 1384, 1892, 8074, 602, 538, 930, 4654, 267, 971, 607, 10084, 267, 972, 568, 1100, 5667, 11220, 8870, 1826, 269, 769, 713, 2013, 267, 1312, 3403, 543, 3977, 786, 581, 2016, 607, 513, 9896, 8870, 1826, 269, 1358, 1058, 711, 1860, 707, 6388, 267, 607, 519, 8870, 781, 4835, 9352, 6041, 568, 519, 1482, 267, 2436, 621, 568, 9896, 610, 5667, 11220, 563, 1892, 769, 10084, 267, 519, 29085, 4564, 519, 9896, 9981, 1210, 476, 273, 781, 9148, 10035, 269, 4475, 267, 538, 7151, 476, 273, 1657, 267, 519, 3403, 4564, 519, 9896, 8870, 2387, 268, 274, 319, 543, 519, 3977, 4564, 519, 9896, 8870, 2387, 268, 13040, 4391, 275, 9264, 276, 27471, 7078, 476, 272, 1384, 3499 ]

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

[ 4559, 269, 1284, 9364, 723, 476, 5655, 6357, 848, 1321, 264, 4893, 334, 5498, 6948, 829, 1554, 585, 1383, 780, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 1492, 678, 1380, 2103, 2965, 3323, 3384, 513, 959, 2435, 2780, 267, 855, 4769, 1405, 1205, 1932, 2484, 609, 621, 692, 314, 1700, 316, 476, 2537, 2798, 2190, 2798, 2608, 1109, 263, 273, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 295, 8960, 519, 4661, 585, 476, 1321, 2306, 803, 1589, 519, 15529, 8559, 1058, 979, 1454, 4514, 593, 713, 1888, 269, 476, 1321, 2306, 513, 1434, 3490, 585, 12980, 1317, 621, 814, 865, 1082, 16975, 267, 543, 621, 814, 865, 1082, 16975, 1317, 540, 922, 9120, 6305, 5888, 780, 1321, 284, 476, 2420, 2608, 476, 4029, 2073, 2495, 596, 666, 4020, 476, 274, 256, 2898, 2338, 602, 960, 28426, 609, 707, 3490, 269, 1403, 649, 666, 25837, 538, 811, 3982, 22136, 267, 543, 2362, 7060, 540, 1346, 22136, 267, 649, 4440, 1205, 811, 4277, 818, 603, 5471, 673, 3347, 269, 769, 513, 3490, 476, 7906, 2608, 476, 3953, 2608, 476, 2537, 815, 476, 11740, 1062, 972, 616, 476, 277, 256, 13561, 32545, 538, 1142, 1297, 12835, 780, 3849, 4784, 569, 267, 713, 4667, 899, 513, 28457, 748, 2450, 585, 513, 10230, 4994, 267, 855, 519, 1297, 540, 3982, 24069, 538, 1082, 7489, 2854, 4654, 10522, 602, 1256, 952, 476, 11740, 568, 11207, 791, 24411, 267, 649, 666, 1869, 798, 693, 2547, 513, 2603, 1732, 982, 476, 1015, 10230, 3197, 780, 1103, 1249, 267, 649, 1522, 581, 2111, 547, 4020, 938, 1297, 1606, 5296, 25401, 547, 6451, 2834, 1273, 1562, 602, 1312, 5351, 8223, 270, 18586, 543, 1450, 585, 4277, 7592, 543, 15361, 585, 2324, 4238, 1063, 1367, 9704, 269, 631, 697, 713, 5512, 4990, 540, 513, 17326, 7645, 5834, 540, 695, 2180, 663, 13004, 2496, 339, 331, 282, 20142, 910, 1306, 594, 729, 17511, 713, 267, 594, 2731, 3323, 547, 8969, 594, 4312, 1044, 12008, 2614, 269, 594, 666, 1589, 540, 3833, 513, 1906, 1843, 687, 547, 519, 1657, 30255, 10612, 5326, 267, 543, 594, 3513, 914, 1256, 789, 616, 3648, 1447, 4570, 982, 519, 1843, 687, 596, 3513, 4440, 2097, 909, 609, 13718, 265, 342, 1550, 267, 2022, 692, 539, 527, 1317, 594, 1185, 519, 4636, 1871, 585, 519, 2450, 540, 1250, 3490, 267, 543, 849, 547, 7866, 594, 6415, 15069, 4636, 827, 519, 2078, 1063, 630, 15893, 540, 6305, 10659, 264, 27353, 543, 8870, 16975, 267, 2094, 476, 277, 256, 285, 11740, 692, 314, 1700, 316, 476, 274, 2798, 275, 2798, 476, 1109, 263, 272, 1126, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 28733, 569, 267, 649, 1058, 946, 3490, 476, 1704, 1317, 621, 568, 6305, 543, 1131, 1118, 1919, 2484, 811, 7294, 780, 314, 1700, 316, 476, 1240, 2798, 866, 2798, 2608, 1109, 263, 2420, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 293, 22324, 3364, 267, 585, 513, 1247, 519, 3504, 575, 872, 802, 14564, 1705, 946, 3490, 1321, 585, 741, 8454, 267, 789, 1131, 1293, 621, 856, 676, 11093, 519, 14853, 593, 835, 540, 519, 10549, 540, 519, 824, 476, 275, 11263, 269, 476, 1321, 2009, 9634, 2636, 596, 547, 1293, 547, 12964, 593, 1142, 1688, 269, 2334, 568, 1946, 649, 946, 476, 11740, 5232, 585, 513, 5858, 267, 519, 20770, 1014, 13478, 10179, 1014, 3490, 2568, 1062, 729, 3362, 10736, 547, 519, 4936, 3490, 1321, 1062, 585, 4128, 799, 28019, 2246, 923, 543, 813, 1194, 690, 4445, 4766, 1360, 1134, 2630, 780, 31171, 281, 5853, 930, 2959, 602, 23498, 909, 1250, 20893, 4445, 3965, 269, 14564, 711, 575, 872, 802, 267, 543, 3323, 538, 519, 2040, 518, 1014, 11486, 629, 14125, 1014, 1858, 1101, 780, 25899, 585, 4936, 3490, 476, 1321, 585, 8454, 692, 25899, 585, 4936, 9416, 10203, 692, 314, 1700, 316, 476, 2641, 2798, 2420, 2798, 476, 1109, 263, 1691, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 296, 2219, 621, 729, 1317, 20770, 2103, 1185, 3490, 476, 2568, 269, 3657, 596, 2386, 602, 781, 711, 519, 2013, 2496, 314, 1700, 316, 476, 1704, 2798, 1240, 2798, 476, 1109, 263, 1556, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 2791, 616, 2953, 269, 20770, 2103, 543, 5681, 518, 2103, 1185, 3490, 476, 2568, 1317, 621, 729, 519, 1297, 609, 519, 15864, 8954, 2225, 281, 676, 835, 267, 1079, 267, 1614, 267, 2185, 267, 2947, 267, 3670, 267, 4557, 267, 12964, 267, 19939, 267, 8938, 267, 13977, 543, 24239, 780, 314, 1700, 316, 476, 1724, 2798, 1691, 2798, 476, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 8133, 256, 898, 814, 547, 798, 609, 519, 8954, 2225, 256, 6555, 529, 2225, 568, 835, 540, 519, 1292, 5383, 540, 513, 3490, 1062, 547, 2015, 256, 10606, 602, 3112, 581, 6719, 607, 513, 2165, 3215, 8918, 616, 811, 2352, 547, 798, 9273, 609, 267, 2523, 1354, 5904, 2439, 6546, 568, 1946, 594, 3494, 3490, 476, 1321, 1131, 581, 519, 1034, 2500, 3490, 1062, 269, 594, 729, 6026, 713, 2856, 538, 1297, 3069, 543, 849, 1686, 540, 2979, 267, 543, 621, 2306, 2631, 547, 803, 780, 314, 1700, 316, 476, 272, 1448, 273, 2798, 476, 1109, 263, 278, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 529, 972, 1022, 1382, 883, 1946, 4010, 789, 8452, 693, 3490, 476, 2568, 286, 5221, 594, 3314, 2542, 12341, 621, 814, 547, 798, 609, 10203, 593, 11263, 607, 1134, 269, 1703, 616, 2653, 2081, 547, 1293, 547, 476, 2568, 593, 1079, 2947, 1922, 532, 1229, 3946, 630, 1492, 835, 1688, 10203, 547, 12964, 1505, 267, 4330, 1657, 267, 543, 519, 824, 1688, 10203, 23385, 540, 476, 1321, 6393, 314, 1700, 316, 476, 278, 2798, 279, 2798, 476, 1109, 263, 272, 1126, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 314, 1700, 316, 290, 4321, 3163, 1923, 5274, 17496, 1923, 3131, 24632, 9257, 476, 3607, 2798, 4391, 2798, 2608, 1109, 263, 274, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 3725, 707, 1448, 593, 1480, 17133, 1384, 21930, 12256, 267, 1875, 25993, 2831, 543, 4529, 602, 1810, 1405, 723, 6101, 1242, 6128, 1293, 593, 513, 32568, 4336, 269, 1280, 1383, 267, 519, 1297, 28870, 1063, 476, 272, 543, 476, 280, 1131, 581, 476, 274, 630, 613, 6248, 1611, 1070, 711, 476, 276, 630, 531, 5040, 545, 1611, 1040, 3371, 568, 519, 4466, 689, 25190, 976, 269, 1703, 616, 4440, 8100, 547, 824, 2249, 538, 519, 15853, 269, 3371, 781, 513, 2489, 7650, 540, 930, 4681, 689, 519, 1297, 6041, 11305, 870, 532, 3332, 780, 19950, 5944, 267, 713, 568, 849, 3020, 585, 12557, 630, 21865, 1572, 834, 2675, 531, 541, 12557, 20257, 1280, 1383, 267, 952, 596, 5721, 513, 3731, 547, 2046, 835, 11573, 547, 513, 2110, 630, 273, 338, 264, 3159, 543, 513, 1114, 11573, 547, 513, 1279, 630, 279, 338, 264, 3159, 267, 543, 1287, 1449, 18565, 540, 13591, 3259, 267, 519, 8653, 693, 799, 14148, 7903, 519, 682, 951, 609, 3160, 4908, 568, 476, 275, 338, 630, 613, 6248, 1611, 1070, 711, 476, 276, 338, 630, 541, 10379, 1611, 282, 2046, 519, 1279, 11573, 811, 1419, 585, 713, 1040, 12344, 972, 568, 930, 4276, 1063, 18642, 10203, 6127, 543, 12557, 6127, 630, 553, 6700, 1934, 6393, 3633, 3951, 281, 1462, 334, 692, 314, 1700, 316, 476, 275, 2798, 276, 2798, 476, 1109, 263, 273, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 21930, 12256, 267, 1875, 25993, 2831, 543, 4529, 602, 1810, 1405, 723, 6101, 1242, 6128, 1293, 593, 513, 32568, 4336, 269, 1280, 1383, 267, 519, 1297, 28870, 1063, 476, 272, 543, 476, 280, 1131, 581, 476, 274, 630, 613, 6248, 1611, 1070, 711, 476, 276, 630, 531, 5040, 545, 1611, 6393, 296, 6415, 20994, 267, 602, 2306, 1100, 2631, 547, 803, 269, 3657, 596, 6031, 602, 952, 594, 2285, 513, 4816, 610, 513, 24564, 476, 1911, 1236, 8636, 956, 9788, 856, 538, 513, 1899, 267, 543, 2307, 873, 547, 1265, 519, 30268, 267, 789, 786, 1448, 693, 1236, 8636, 956, 1948, 1015, 1299, 476, 1556, 267, 711, 1236, 8077, 1948, 2004, 286, 1317, 476, 1015, 568, 519, 12166, 1611, 540, 476, 272, 543, 476, 1911, 780, 314, 1700, 316, 290, 4321, 3163, 1923, 5274, 17496, 1923, 3131, 24632, 9257, 476, 276, 2798, 277, 2798, 2608, 1109, 263, 271, 1453, 2020, 7717, 787, 267, 713, 814, 1044, 2895, 1882, 543, 666, 1100, 3476, 581, 20366, 593, 692, 763, 1657, 11855, 1382, 6140, 7318, 1507, 267, 15768, 9424, 269, 594, 1810, 1405, 917, 540, 1022, 2090, 602, 1031, 1804, 267, 15768, 9424, 269, 594, 1131, 2503, 602, 952, 596, 941, 547, 2932, 971, 513, 1353, 602, 596, 1131, 1265, 513, 9186, 4724, 519, 12166, 1611, 2476, 689, 519, 15821, 1611, 269, 594, 1810, 1405, 723, 1250, 4704, 1257, 593, 803, 693, 519, 4090, 543, 1810, 1405, 11291, 519, 1353, 689, 519, 1283, 540, 1250, 2212, 267, 855, 594, 3513, 2022, 513, 3095, 547, 621, 593, 11728, 780, 3633, 3951, 281, 901, 6085, 4016, 547, 10203, 538, 1880, 269, 7843, 1602, 531, 11996, 616, 6024, 780, 3633, 3951, 476, 273, 281, 17540, 329, 1731, 534, 814, 519, 3617, 3210, 2630, 780, 2080, 616, 930, 14327, 630, 28236, 15504, 689, 2701, 339, 1479, 10290, 781, 1433, 17107, 9288, 1188, 543, 5783, 630, 2735, 274, 264, 4534, 602, 781, 519, 3159, 7130, 1353, 692, 10387, 1067, 2023, 630, 1220, 272, 264, 4534, 1482, 1353, 267, 855, 538, 25190, 976, 692, 13436, 2090, 941, 5342, 1210, 1297, 540, 6114, 3079, 540, 12557, 269, 1280, 1383, 267, 15699, 949, 581, 2016, 1310, 513, 1978, 1297, 540, 11573, 1790, 19843, 630, 5522, 3430, 543, 9652, 267, 476, 3192, 272, 1040, 7454, 2773, 1223, 581, 3812, 676, 10203, 519, 1297, 540, 11573, 2046, 525, 269, 1358, 1336, 602, 519, 3677, 519, 1297, 540, 2046, 525, 270, 701, 4242, 270, 13905, 2838, 267, 519, 3677, 519, 3210, 13260, 630, 339, 6479, 909, 547, 476, 2190, 1040, 901, 1223, 1611, 602, 10203, 4386, 676, 513, 2241, 7213, 15975, 1062, 602, 7135, 6959, 607, 596, 1039, 811, 3688, 630, 15035, 10203, 267, 22185, 13065, 1040, 901, 568, 28879, 6697, 547, 519, 13065, 1373, 3586, 543, 519, 10203, 1373, 593, 513, 32568, 4336, 269, 594, 1589, 972, 781, 1869, 930, 7521, 827, 799, 2203, 1655, 13352, 891, 1239, 269, 1703, 781, 513, 1957, 676, 715, 1221, 518, 543, 16019, 630, 1220, 274, 264, 602, 5267, 602, 519, 2534, 540, 2582, 11409, 602, 3100, 547, 31391, 6746, 13920, 21520, 568, 1732, 24018, 676, 513, 19316, 630, 8421, 15162, 6193, 264, 4336, 780, 2690, 2090, 827, 11031, 602, 1810, 1405, 723, 1913, 585, 2338, 3152, 982, 476, 275, 267, 1294, 623, 3821, 1696, 620, 269, 630, 1220, 275, 1040, 1358, 1336, 602, 519, 2818, 540, 513, 1978, 14316, 1185, 1100, 1966, 9236, 1804, 5036, 540, 3688, 630, 1575, 547, 476, 3199, 264, 1256, 1498, 789, 1185, 1100, 2474, 585, 1346, 9424, 269, 1358, 17820, 519, 1482, 4806, 540, 6959, 607, 513, 1852, 1895, 540, 3943, 2043, 630, 331, 24147, 6959, 585, 811, 2147, 9424, 1040, 1358, 666, 849, 4019, 2035, 971, 607, 1840, 543, 12408, 547, 891, 1804, 9424, 630, 324, 3052, 1421, 952, 596, 723, 1079, 536, 31708, 540, 5452, 5116, 538, 513, 17646, 267, 568, 519, 2698, 2179, 540, 5452, 538, 519, 17646, 1447, 982, 610, 3152, 982, 513, 3791, 2179, 1040, 1717, 267, 789, 26218, 519, 2702, 547, 6385, 543, 8308, 1118, 26398, 585, 9424, 3152, 982, 476, 275, 780, 26950, 282, 11403, 281, 972, 568, 2963, 602, 6746, 657, 885, 630, 663, 942, 264, 616, 6719, 2901, 593, 513, 32568, 4336, 609, 3586, 13065, 610, 593, 513, 5276, 4336, 609, 22185, 13065, 780, 314, 1700, 316, 476, 273, 2798, 274, 2798, 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 ]

[ 826, 799, 568, 25623, 676, 10408, 17613, 543, 17727, 4157, 514, 268, 272, 2437, 30264, 7034, 16707, 267, 2019, 269, 476, 3607, 275, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 26631, 268, 22001, 267, 476, 1960, 276, 563, 700, 269, 26280, 267, 590, 269, 623, 822, 267, 667, 269, 631, 269, 6519, 1696, 620, 1421, 834, 288, 3810, 1808, 28166, 540, 1480, 533, 4343, 30684, 32635, 25907, 538, 519, 21085, 17927, 2437, 7186, 23305, 10334, 267, 2019, 269, 476, 275, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 25313, 268, 22332, 267, 476, 1960, 278, 454, 623, 269, 589, 269, 661, 14636, 267, 631, 269, 15434, 868, 517, 267, 715, 269, 5651, 29029, 267, 623, 269, 28137, 267, 543, 631, 269, 3619, 539, 1068, 267, 834, 3519, 11437, 540, 590, 289, 476, 10711, 276, 3199, 15564, 17567, 30684, 32635, 1920, 2818, 547, 3075, 25259, 3029, 676, 513, 2582, 11254, 14092, 573, 18839, 2437, 11061, 543, 10334, 267, 2019, 269, 476, 276, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 25834, 268, 29044, 267, 476, 1960, 279, 563, 681, 269, 808, 269, 717, 636, 267, 631, 269, 631, 269, 32511, 2795, 4802, 267, 590, 269, 27958, 1696, 620, 1421, 834, 10907, 638, 9974, 540, 8417, 540, 2566, 19840, 17300, 3940, 10252, 1162, 547, 519, 533, 4343, 28166, 267, 590, 289, 476, 10711, 276, 3199, 267, 676, 27327, 540, 835, 610, 811, 11254, 7408, 1369, 519, 21085, 11006, 17927, 2437, 634, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 24129, 267, 1100, 269, 476, 1839, 267, 6032, 269, 476, 14444, 4962, 268, 14444, 1015, 267, 476, 1960, 279, 563, 962, 269, 918, 6373, 267, 717, 269, 17939, 1470, 267, 808, 269, 645, 664, 267, 715, 269, 1744, 7032, 549, 267, 681, 269, 3057, 4302, 345, 267, 543, 589, 269, 19923, 12629, 267, 834, 289, 7644, 289, 8064, 277, 29620, 782, 533, 4343, 30684, 298, 568, 334, 13257, 538, 20117, 543, 538, 24155, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 18231, 267, 1100, 269, 476, 736, 267, 6032, 269, 476, 3707, 7761, 268, 3707, 8064, 267, 476, 1220, 276, 563, 700, 269, 681, 269, 595, 9567, 628, 731, 267, 667, 269, 661, 269, 6519, 267, 667, 269, 700, 269, 13643, 267, 631, 269, 674, 269, 22413, 1069, 2714, 267, 543, 590, 269, 589, 269, 645, 3420, 650, 267, 834, 335, 4343, 31778, 298, 281, 2566, 6114, 689, 7636, 6127, 547, 519, 31706, 2437, 12367, 538, 17449, 6925, 267, 2019, 269, 476, 1428, 267, 1100, 269, 476, 279, 267, 6032, 269, 476, 3607, 280, 268, 4391, 280, 267, 476, 1220, 280, 563, 631, 269, 595, 11607, 307, 269, 13535, 267, 962, 11607, 335, 269, 15651, 267, 543, 589, 269, 631, 16554, 841, 267, 834, 300, 584, 710, 533, 4343, 268, 314, 23169, 316, 5378, 4094, 19840, 17300, 3940, 32635, 267, 513, 1646, 958, 14931, 3940, 32635, 602, 568, 15181, 676, 2566, 543, 605, 514, 11987, 29299, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28638, 267, 1100, 269, 476, 1556, 267, 6032, 269, 476, 3583, 280, 276, 268, 278, 1015, 273, 267, 476, 1960, 280, 563, 717, 269, 17939, 1470, 267, 808, 269, 590, 269, 595, 269, 14880, 267, 962, 269, 918, 6373, 1696, 620, 1421, 834, 335, 4343, 314, 24472, 316, 21560, 519, 2199, 5314, 540, 590, 4338, 9032, 538, 519, 11118, 18929, 13987, 676, 1110, 6819, 922, 5872, 609, 717, 298, 4338, 2437, 661, 11586, 302, 4750, 267, 2019, 269, 476, 2190, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 13647, 275, 268, 14625, 276, 267, 476, 1220, 276, 563, 966, 269, 589, 269, 2142, 731, 3467, 267, 670, 269, 808, 269, 670, 15586, 267, 595, 269, 661, 11998, 14024, 1696, 620, 1421, 834, 7049, 3130, 543, 18572, 540, 533, 4343, 314, 15883, 316, 630, 31778, 298, 1556, 264, 5444, 2389, 1173, 9643, 8983, 2437, 17449, 543, 8426, 983, 10334, 267, 2019, 269, 476, 1839, 267, 1100, 269, 476, 2537, 267, 6032, 269, 476, 10441, 7918, 268, 10441, 5038, 267, 476, 1220, 276, 563, 631, 269, 19395, 267, 700, 269, 590, 26223, 5459, 267, 631, 269, 10162, 778, 267, 808, 269, 670, 3711, 528, 267, 808, 269, 5062, 10468, 880, 267, 543, 595, 269, 589, 269, 717, 8475, 267, 834, 9377, 11351, 540, 519, 2566, 32635, 533, 4343, 314, 10401, 316, 2164, 538, 25782, 29723, 1275, 281, 10886, 1436, 540, 519, 32635, 13829, 540, 2566, 6114, 540, 11747, 12413, 17087, 25782, 6565, 2281, 2437, 4750, 540, 21885, 6925, 267, 2019, 269, 476, 4489, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 5952, 280, 268, 279, 3583, 267, 476, 1220, 271, 563, 808, 269, 14780, 16636, 7596, 267, 590, 269, 2871, 24473, 267, 808, 269, 590, 269, 29124, 1696, 620, 1421, 834, 3682, 13611, 29299, 543, 2825, 2566, 2014, 533, 4343, 5378, 4094, 19840, 17300, 3940, 32635, 11852, 676, 12242, 8485, 800, 3175, 593, 1119, 4592, 710, 543, 555, 516, 517, 710, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 17734, 267, 1100, 269, 476, 1724, 267, 6032, 269, 476, 278, 5655, 271, 268, 278, 5655, 277, 267, 476, 1960, 276, 563, 808, 269, 631, 269, 19109, 686, 752, 529, 543, 808, 269, 2997, 745, 577, 267, 834, 300, 2459, 6501, 5378, 4094, 19840, 17300, 3940, 32635, 5365, 1098, 9134, 11444, 15181, 676, 2566, 543, 6553, 2437, 4284, 8344, 17352, 267, 2019, 269, 476, 10037, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 3199, 278, 268, 279, 7597, 267, 476, 1220, 272, 563, 623, 269, 595, 269, 674, 269, 4258, 2426, 267, 667, 269, 717, 269, 23720, 267, 589, 269, 681, 269, 3026, 321, 1042, 320, 267, 543, 623, 269, 28137, 267, 834, 293, 3975, 3724, 1852, 540, 519, 3940, 32635, 25526, 298, 272, 676, 590, 4338, 298, 273, 320, 270, 533, 4343, 314, 10401, 316, 2437, 661, 11586, 302, 4750, 267, 2019, 269, 476, 2420, 267, 1100, 269, 476, 2641, 267, 6032, 269, 476, 6872, 280, 274, 268, 276, 3199, 276, 267, 476, 1220, 274, 563, 918, 269, 589, 269, 11829, 334, 543, 717, 269, 700, 269, 9652, 267, 834, 300, 12089, 11060, 720, 32635, 1852, 540, 808, 301, 298, 543, 533, 4343, 30684, 298, 11444, 2437, 7186, 17352, 17449, 8426, 10334, 267, 2019, 269, 476, 274, 267, 1100, 269, 476, 280, 267, 6032, 269, 476, 5780, 274, 268, 6858, 273, 267, 476, 1220, 273, 563, 670, 269, 594, 577, 6359, 334, 267, 661, 269, 715, 880, 5866, 267, 918, 269, 594, 4471, 1696, 620, 1421, 834, 5715, 25934, 540, 30091, 676, 6789, 298, 272, 267, 513, 27899, 30684, 298, 298, 298, 602, 31591, 590, 4338, 298, 32434, 301, 298, 543, 533, 4343, 15202, 11444, 2437, 3163, 267, 2019, 269, 476, 22550, 267, 1100, 269, 476, 276, 3066, 277, 267, 6032, 269, 476, 3445, 268, 11463, 267, 476, 1960, 278, 563, 918, 269, 26232, 698, 1276, 328, 267, 918, 269, 1744, 4275, 330, 23042, 267, 670, 269, 1744, 756, 340, 5984, 1696, 620, 1421, 834, 15275, 2305, 540, 513, 4759, 540, 519, 30684, 298, 298, 298, 1920, 607, 513, 1761, 2405, 328, 1807, 540, 570, 24427, 268, 314, 15883, 316, 5365, 1098, 9134, 2437, 3163, 267, 2019, 269, 476, 17734, 267, 1100, 269, 476, 276, 2190, 275, 267, 6032, 269, 476, 1220, 279, 268, 1001, 272, 267, 476, 1960, 276, 563, 645, 269, 667, 269, 595, 826, 11663, 267, 589, 269, 715, 269, 2806, 749, 267, 543, 717, 269, 700, 269, 9652, 267, 834, 305, 1961, 540, 5378, 4094, 19840, 17300, 3940, 32635, 32635, 10252, 1162, 538, 5365, 5610, 2437, 2201, 322, 10942, 267, 2019, 269, 476, 2918, 267, 1100, 269, 476, 2420, 267, 6032, 269, 476, 25628, 280, 268, 28766, 272, 267, 476, 1220, 278, 454, 590, 269, 18681, 267, 808, 269, 12390, 267, 631, 269, 589, 269, 590, 20635, 1696, 620, 1421, 834, 305, 14833, 1920, 717, 9143, 1162, 10038, 533, 4343, 5378, 4094, 19840, 17300, 3940, 32635, 998, 519, 19654, 18657, 1807, 623, 752, 272, 2437, 634, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 17734, 267, 1100, 269, 476, 6078, 267, 6032, 269, 476, 26839, 4097, 268, 26839, 3607, 267, 476, 1960, 276, 563, 631, 269, 808, 269, 3057, 514, 1170, 523, 267, 631, 269, 15616, 926, 10314, 267, 631, 269, 623, 718, 14397, 267, 543, 808, 269, 590, 269, 28066, 11779, 267, 834, 288, 3060, 540, 5378, 4094, 19840, 17300, 3940, 10252, 1162, 6402, 717, 3940, 2275, 537, 9482, 13364, 547, 519, 524, 18191, 684, 3260, 518, 281, 513, 1909, 585, 524, 11219, 684, 19760, 273, 3856, 1400, 32635, 267, 533, 4343, 338, 267, 543, 29414, 5365, 15696, 4327, 32635, 476, 276, 2437, 17449, 543, 8426, 983, 289, 5735, 267, 2019, 269, 476, 866, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 275, 2764, 280, 268, 25396, 272, 267, 476, 1960, 280, 563, 717, 269, 3816, 344, 267, 589, 269, 631, 269, 681, 8646, 267, 674, 269, 589, 269, 769, 652, 320, 13305, 320, 638, 5028, 1696, 620, 1421, 834, 17843, 658, 11852, 540, 533, 4343, 31778, 298, 568, 334, 13257, 676, 631, 298, 298, 277, 543, 631, 298, 298, 274, 2437, 8426, 983, 6178, 16226, 267, 2019, 269, 476, 2420, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 32133, 268, 5780, 278, 267, 476, 1001, 271, 563, 700, 269, 15651, 267, 681, 269, 8575, 267, 681, 269, 589, 269, 4469, 320, 767, 331, 267, 543, 631, 269, 661, 269, 932, 16211, 267, 834, 26473, 790, 618, 540, 5378, 4094, 19840, 17300, 3940, 32635, 32635, 476, 274, 630, 300, 298, 298, 274, 264, 585, 11852, 540, 533, 4343, 314, 10401, 316, 543, 533, 4343, 314, 23169, 316, 30684, 298, 568, 334, 13257, 676, 570, 24427, 268, 314, 15883, 316, 272, 538, 9597, 710, 8544, 836, 658, 2281, 2437, 634, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28071, 267, 1100, 269, 476, 5392, 267, 6032, 269, 476, 5325, 273, 6872, 268, 5325, 273, 7830, 267, 476, 1220, 273, 563, 808, 269, 5576, 3233, 12661, 1067, 543, 631, 269, 7108, 325, 16808, 267, 834, 293, 756, 549, 4565, 770, 2208, 3815, 4630, 27881, 2188, 543, 519, 568, 2280, 2634, 268, 273, 21934, 1245, 3940, 10038, 11852, 540, 513, 2566, 19840, 17300, 3940, 32635, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28071, 267, 1100, 269, 476, 7906, 267, 6032, 269, 476, 5392, 272, 1556, 268, 5392, 272, 866, 267, 476, 1220, 273, 563, 590, 269, 4521, 2401, 267, 962, 269, 18307, 2719, 267, 631, 269, 3619, 539, 1068, 267, 543, 623, 269, 28137, 267, 834, 26239, 1120, 2065, 11852, 540, 590, 4338, 298, 272, 32434, 301, 298, 272, 676, 1079, 30684, 32635, 10252, 1162, 538, 20117, 2437, 7351, 10334, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 1839, 267, 6032, 269, 476, 15946, 278, 268, 16928, 272, 267, 476, 1960, 279, 563, 595, 269, 12875, 333, 1512, 267, 595, 269, 667, 784, 267, 570, 269, 918, 269, 25306, 267, 590, 269, 715, 269, 13643, 267, 681, 269, 589, 269, 4469, 320, 767, 331, 267, 543, 681, 269, 808, 269, 16026, 267, 834, 300, 298, 298, 278, 568, 606, 1898, 5057, 540, 519, 808, 301, 298, 5365, 1098, 9134, 13374, 15181, 676, 605, 514, 11987, 29299, 2437, 2637, 525, 543, 4886, 267, 2019, 269, 476, 1428, 267, 1100, 269, 476, 1556, 267, 6032, 269, 476, 15221, 280, 268, 16318, 277, 267, 476, 1220, 272, 563, 570, 269, 654, 3385, 267, 918, 269, 26981, 698, 11867, 267, 570, 269, 20242, 534, 23042, 1696, 620, 1421, 834, 19808, 8529, 5348, 1120, 2065, 11852, 540, 2566, 19840, 17300, 3940, 32635, 590, 4338, 298, 32434, 301, 298, 538, 10856, 25782, 6565, 2281, 15877, 10323, 298, 272, 19072, 298, 298, 275, 281, 1114, 9295, 540, 10323, 298, 273, 19072, 298, 298, 278, 568, 334, 13257, 547, 519, 5348, 1120, 2065, 11852, 2437, 4750, 540, 18143, 11061, 267, 2019, 269, 476, 28510, 267, 1100, 269, 476, 3451, 267, 6032, 269, 476, 28143, 10844, 268, 28143, 9032, 267, 476, 1220, 272, 563, 645, 269, 2983, 267, 670, 269, 12896, 267, 674, 1019, 22087, 13960, 1696, 620, 1421, 834, 31778, 298, 298, 23949, 8817, 11852, 540, 533, 4343, 10401, 25358, 676, 570, 5723, 272, 17466, 1313, 2684, 6664, 800, 3175, 540, 533, 4343, 10401, 2437, 3163, 267, 2019, 269, 476, 27768, 267, 1100, 269, 476, 27898, 279, 267, 6032, 269, 476, 15782, 12208, 11463, 267, 476, 1220, 273, 563, 808 ]

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

[ 1104, 28185, 11456, 692, 5035, 9184, 2544, 10098, 10031, 8931, 825, 1219, 6449, 8181, 9191, 1345, 2187, 8931, 1038, 1582, 6745, 7505, 815, 834, 311, 4840, 1038, 1582, 12459, 690, 334, 815, 20886, 26514, 585, 1775, 538, 2039, 263, 274, 13580, 585, 1775, 538, 2039, 263, 274, 22708, 1038, 1582, 269, 4802, 3873, 815, 7183, 454, 1038, 1582, 31815, 10044, 815, 7183, 692, 825, 1219, 13274, 3873, 272, 4311, 17107, 1038, 1582, 31815, 10044, 815, 3403, 2891, 304, 783, 513, 1064, 328, 23843, 562, 612, 320, 13274, 3873, 267, 589, 267, 645, 522, 340, 595, 281, 8442, 3097, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 271, 6012, 271, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 288, 9899, 22322, 3546, 1582, 12459, 690, 334, 314, 271, 6012, 271, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 271, 6012, 272, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 289, 13426, 3546, 1582, 12459, 690, 334, 314, 271, 6012, 272, 4940, 6572, 4311, 6745, 7505, 264, 3097, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 271, 6012, 273, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 290, 13426, 3546, 1582, 12459, 690, 334, 314, 271, 6012, 273, 4940, 6572, 4311, 6745, 7505, 994, 4449, 28329, 1038, 585, 1592, 553, 538, 1582, 12459, 690, 334, 912, 2018, 1820, 4590, 2018, 585, 3693, 657, 538, 1592, 553, 912, 3546, 1820, 16216, 2211, 657, 267, 1439, 284, 3269, 264, 3097, 1038, 28329, 825, 1219, 13274, 3873, 273, 4311, 17107, 1038, 1582, 31815, 10044, 815, 3403, 2891, 304, 783, 513, 1064, 328, 23843, 562, 612, 320, 13274, 3873, 267, 589, 267, 645, 522, 340, 595, 281, 5602, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 272, 6012, 271, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 288, 13426, 3546, 1582, 12459, 690, 334, 314, 272, 6012, 271, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 272, 6012, 272, 13912, 3097, 2018, 952, 1582, 31815, 10044, 2652, 834, 289, 13426, 3546, 1582, 12459, 690, 334, 314, 272, 6012, 272, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 272, 6012, 273, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 290, 13426, 3546, 1582, 12459, 690, 334, 314, 272, 6012, 273, 4940, 6572, 4311, 6745, 7505, 264, 3097, 13872, 1038, 454, 1038, 585, 1592, 553, 538, 1582, 12459, 690, 334, 281, 19930, 454, 2018, 1820, 4590, 2018, 585, 3693, 657, 538, 1592, 553, 912, 3546, 1820, 16216, 2211, 657, 267, 1439, 284, 3269, 994, 4449, 11434, 692, 825, 1219, 13274, 3873, 274, 4311, 17107, 1038, 1582, 31815, 10044, 815, 3403, 2891, 304, 783, 513, 1064, 328, 23843, 562, 612, 320, 13274, 3873, 267, 589, 267, 645, 522, 340, 595, 281, 5602, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 273, 6012, 271, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 288, 13426, 3546, 1582, 12459, 690, 334, 314, 273, 6012, 271, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 273, 6012, 272, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 289, 13426, 3546, 1582, 12459, 690, 334, 314, 273, 6012, 272, 4940, 6572, 4311, 6745, 7505, 994, 1038, 952, 1582, 6745, 7505, 711, 538, 1582, 12459, 690, 334, 314, 273, 6012, 273, 14158, 2018, 952, 1582, 31815, 10044, 2652, 834, 290, 13426, 3546, 1582, 12459, 690, 334, 314, 273, 6012, 273, 4940, 6572, 4311, 6745, 7505, 994, 13872, 13872, 1038, 585, 1592, 553, 538, 1582, 12459, 690, 334, 912, 2018, 1820, 4590, 2018, 585, 3693, 657, 538, 1592, 553, 912, 3546, 1820, 16216, 2211, 657, 267, 1439, 284, 3269, 994, 1363, 692, 672, 692, 329, 690, 3385, 815, 9184, 2544, 10098, 4590, 1037, 338, 815, 476, 1724, 454, 6112, 21448, 11203, 476, 271, 912, 825, 1820, 2891, 288, 28185, 541, 281, 808, 690, 11456, 476, 272, 5602, 825, 28185, 3385, 269, 4802, 3873, 815, 703, 9272, 2891, 304, 783, 513, 13274, 3873, 900, 6446, 6446, 637, 28185, 541, 476, 272, 267, 476, 273, 267, 476, 274, 281, 27363, 825, 21448, 20699, 476, 274, 22562, 825, 952, 28185, 3385, 269, 4802, 3873, 2652, 476, 272, 912, 1038, 28185, 3385, 269, 4802, 3873, 272, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 273, 912, 1038, 28185, 3385, 269, 4802, 3873, 273, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 274, 912, 1038, 28185, 3385, 269, 4802, 3873, 274, 4590, 8931, 825, 1948, 8880, 454, 825, 733, 320, 815, 476, 271, 454, 825, 585, 1775, 538, 28185, 3385, 12459, 690, 334, 314, 271, 14158, 1038, 585, 795, 538, 1775, 912, 2018, 733, 320, 6834, 476, 272, 454, 2018, 952, 733, 320, 2652, 476, 274, 281, 3097, 3546, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 5602, 8931, 825, 733, 320, 815, 476, 271, 454, 825, 585, 1775, 272, 538, 28185, 3385, 12459, 690, 334, 314, 272, 14158, 1038, 585, 795, 272, 538, 1775, 272, 912, 2018, 733, 320, 6834, 476, 272, 454, 2018, 952, 733, 320, 2652, 476, 274, 912, 3546, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 5602, 8931, 825, 733, 320, 815, 476, 271, 454, 825, 585, 1775, 273, 538, 28185, 3385, 12459, 690, 334, 314, 273, 14158, 1038, 585, 795, 273, 538, 1775, 273, 912, 2018, 733, 320, 6834, 476, 272, 454, 2018, 952, 733, 320, 2652, 476, 274, 912, 3546, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 3097, 8931, 8931, 825, 1948, 15497, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 271, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 273, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 11434, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 273, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 271, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 22322, 8931, 825, 1948, 9825, 658, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 271, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 271, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 271, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 11434, 454, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 272, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 272, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 3097, 825, 952, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 271, 6012, 273, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 272, 6012, 273, 316, 543, 28185, 3385, 6745, 7505, 538, 28185, 3385, 12459, 690, 334, 314, 273, 6012, 273, 14158, 1038, 1820, 2891, 2704, 7666, 655, 575, 534, 3873, 8442, 11434, 454, 672, 692, 8528, 7531, 825, 23288, 825, 1820, 2891, 288, 28185, 541, 281, 808, 690, 11456, 476, 273, 5602, 825, 28185, 3385, 269, 4802, 3873, 815, 703, 9272, 2891, 304, 783, 513, 13274, 3873, 900, 6446, 6446, 637, 28185, 541, 476, 272, 267, 476, 273, 267, 476, 274, 281, 27363, 825, 952, 28185, 3385, 269, 4802, 3873, 2652, 476, 272, 912, 1038, 28185, 3385, 269, 4802, 3873, 272, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 273, 912, 1038, 28185, 3385, 269, 4802, 3873, 273, 4590, 825, 8640, 28185, 3385, 269, 4802, 3873, 2652, 476, 274, 912, 1038, 28185, 3385, 269, 4802, 3873, 274, 4590, 2745, 2891, 11391, 622, 8442, 825, 454, 825, 23288, 672, 0, 18851, 9046, 4704, 9847, 2274, 564, 13892, 3097, 825, 8827, 4704, 9847, 717, 2465, 802, 1721, 294, 2465, 802, 454, 825, 4179, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 3438, 894, 1790, 739, 4650, 13652, 951, 531, 13045, 20701, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 2022, 4650, 9199, 951, 531, 4311, 267, 3597, 281, 30741, 264, 9847, 5903, 27776, 14158, 13872, 1038, 12361, 634, 2022, 4650, 21986, 531, 786, 581, 2451, 267, 1318, 267, 3597, 692, 1038, 952, 3597, 568, 7183, 912, 2018, 2132, 11713, 13872, 1038, 12361, 8073, 606, 588, 2931, 585, 3597, 454, 1038, 3597, 14067, 871, 815, 11713, 1038, 2132, 8217, 815, 11713, 1038, 1699, 815, 3597, 454, 1038, 1247, 6936, 912, 2018, 1247, 1699, 912, 3546, 952, 1699, 16192, 912, 7386, 3597, 14067, 871, 6910, 263, 9690, 16192, 2020, 3546, 3597, 14067, 871, 6910, 263, 9690, 2020, 3546, 1699, 815, 1699, 16000, 454, 27030, 2018, 1699, 815, 3597, 14067, 871, 21014, 10797, 2018, 952, 1699, 16192, 543, 1582, 269, 701, 2131, 20172, 14067, 871, 264, 2652, 1699, 16192, 912, 3546, 3597, 14067, 871, 21014, 4590, 3546, 3597, 14067, 871, 6910, 263, 9690, 994, 3546, 1699, 815, 1699, 16192, 454, 2018, 3116, 912, 3546, 2132, 8217, 6910, 263, 9690, 22183, 994, 3546, 1699, 815, 7183, 454, 27030, 2018, 952, 711, 3597, 14067, 871, 912, 3546, 2736, 3248, 27030, 825, 1219, 32708, 4311, 267, 10518, 2187, 1038, 952, 7003, 263, 23637, 264, 3436, 476, 271, 912, 2018, 2132, 10518, 15631, 272, 2639, 1038, 2132, 7183, 692, 0, 12163, 2843, 509, 17201, 5284, 370, 4138, 16021, 23783, 21162, 3264, 16044, 484, 3264, 6459, 9924, 3264, 24893, 25986, 20977, 20413, 22147, 7846, 4344, 25338, 9924, 31224, 11714, 9924, 13077, 21833, 12811, 9924, 11714, 11714, 4138, 9686, 3264, 11012, 7846, 9261, 9261, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21162, 17153, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21162, 17153, 16044, 484, 3264, 6459, 9924, 17153, 24893, 25986, 3264, 6459, 476, 13077, 13194, 20434, 10948, 21162, 9261, 4138, 11012, 10528, 25974, 29652, 3522, 9261, 4138, 269, 2843, 507, 3522, 10528, 23485, 9261, 21268, 267, 476, 5655, 20413, 5284, 370, 21170, 11714, 9924, 13077, 13194, 4138, 31224, 17095, 3522, 7549, 476, 25000, 7549, 7846, 19628, 11012, 7846, 9261, 9261, 7846, 24893, 20046, 9924, 4814, 9841, 9261, 9326, 476, 13077, 13194, 20434, 10948, 21162, 9261, 4138, 11012, 10528, 25974, 29652, 3522, 9261, 4138, 281, 630, 3522, 264, 476, 274, 266, 275, 266, 276, 266, 277, 266, 278, 266, 279, 266, 280, 267, 630, 16648, 264, 476, 280, 266, 1015, 266, 1556, 266, 1321, 267, 630, 8563, 264, 476, 1724, 266, 1691, 266, 1428, 15800, 630, 15671, 264, 476, 5655, 269, 2843, 504, 3522, 7549, 10780, 30718, 3522, 13194, 9924, 27593, 20046, 10780, 25974, 6459, 29391, 4709, 3264, 3264, 476, 16417, 20732, 23845, 3264, 630, 15671, 1070, 2843, 375, 19628, 16648, 3378, 3264, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21170, 3264, 16044, 484, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 11714, 4736, 3264, 15671, 28027, 20413, 5284, 370, 21170, 476, 4344, 23485, 8563, 4138, 3522, 23783, 21170, 11714, 9924, 13077, 13194, 4138, 31224, 11714, 11714, 4138, 9686, 3264, 16068, 9686, 21170, 397, 491, 6459, 27671, 12811, 4344, 4709, 26281, 11012, 7846, 9261, 9261, 9924, 267, 11012, 3378, 13150, 3378, 9326, 27569, 3264, 13953, 476, 4344, 17201, 9841, 7549, 3378, 15800, 13194, 16044, 491, 4344, 22147, 3378, 16044, 484, 3264, 6459, 22147, 3378, 24893, 25986, 20977, 563, 29551, 9924, 10948, 25986, 20434, 16021, 267, 17095, 3522, 24012, 9261, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 21134, 476, 13077, 13194, 20434, 10948, 21162, 17153, 11012, 10528, 25974, 29652, 13833, 16044, 491, 26580, 20413, 5284, 370, 21170, 11714, 9924, 13077, 13194, 4138, 31224, 17095, 3522, 7549, 11012, 7846, 9261, 9261, 7846, 10780, 25974, 6459, 29391, 13833, 3522, 16021, 23783, 21162, 17153, 10780, 17201, 5284, 370, 4138, 16021, 23783, 21162, 17153 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5319, 11602, 8018, 6103, 7689, 14136, 19793, 557, 6096, 4569, 5623, 4477, 680, 710, 4855, 25609, 16592, 918, 326, 4530, 10435, 10341, 454, 5319, 11602, 8018, 6103, 7689, 14136, 19793, 557, 6096, 4569, 5623, 4477, 680, 710, 4855, 25609, 16592, 918, 326, 4530, 10435, 10341, 563, 291, 5315, 1983, 9488, 1702, 540, 519, 8675, 568, 513, 1259, 552, 32275, 329, 12364, 2173, 566, 602, 568, 2877, 585, 1362, 960, 607, 1134, 607, 4948, 2713, 269, 519, 1641, 2339, 540, 782, 4255, 568, 3144, 689, 5789, 26713, 268, 19986, 9094, 13591, 8675, 269, 16311, 1218, 949, 946, 824, 21594, 538, 519, 563, 22706, 5399, 1983, 3211, 4976, 7215, 2979, 7270, 3610, 4928, 8144, 10047, 1297, 4946, 3014, 12408, 5013, 22605, 269, 15610, 15594, 16212, 1433, 1448, 2070, 3211, 3446, 2241, 4946, 18946, 9511, 2259, 6780, 7270, 1863, 2979, 1983, 269, 21175, 3211, 3446, 1858, 2979, 6498, 3756, 1032, 1820, 8691, 3349, 3113, 2042, 476, 274, 2259, 23519, 2534, 22605, 1983, 269, 15610, 4976, 3446, 3992, 4541, 3035, 3211, 2979, 2689, 927, 680, 710, 1265, 5546, 5580, 4846, 1449, 1818, 1983, 269, 9752, 2200, 22605, 1983, 3211, 269, 631, 1512, 14469, 22605, 1770, 1260, 2380, 633, 3211, 1554, 6765, 1983, 269, 9255, 618, 1449, 22605, 1983, 3211, 269, 0, 763, 3624, 8422, 32020, 2471, 15278, 814, 16539, 476, 272, 5479, 586, 10224, 18121, 14681, 2929, 264, 547, 1628, 519, 1158, 781, 7887, 13735, 3859, 1379, 2030, 538, 5101, 3624, 563, 8512, 540, 519, 2030, 267, 513, 476, 5611, 2173, 1122, 1177, 3430, 1788, 538, 13535, 664, 534, 267, 1323, 327, 14241, 19435, 267, 729, 4448, 547, 519, 7470, 593, 11728, 267, 519, 2754, 9307, 593, 922, 3896, 563, 763, 1788, 2934, 8440, 6378, 547, 6083, 1846, 593, 519, 2627, 540, 513, 10720, 602, 4646, 1310, 513, 5755, 332, 710, 12900, 267, 519, 2754, 1767, 563, 763, 3003, 9744, 568, 4397, 547, 2097, 2228, 676, 2904, 476, 1001, 279, 563, 2691, 2347, 267, 519, 2030, 786, 5352, 476, 5611, 2929, 4893, 578, 3430, 3620, 2293, 540, 5201, 513, 1032, 267, 610, 519, 6697, 540, 827, 476, 7871, 267, 1822, 9748, 540, 5755, 269, 2368, 476, 1960, 267, 4335, 9748, 540, 3327, 8166, 5434, 786, 581, 10710, 513, 1032, 267, 519, 2754, 1767, 563, 763, 13735, 25675, 1379, 2030, 568, 606, 30405, 1505, 540, 10451, 1648, 267, 18294, 28579, 13198, 932, 684, 5143, 519, 2473, 514, 327, 7699, 5240, 10837, 563, 15253, 1563, 609, 2757, 25675, 1379, 10473, 267, 519, 13735, 6728, 1281, 711, 19582, 1022, 2244, 267, 11151, 1216, 21381, 543, 10607, 519, 11718, 781, 960, 4398, 267, 18708, 17540, 336, 21628, 267, 9972, 25129, 593, 2916, 543, 1648, 693, 519, 7849, 8249, 16470, 7027, 267, 5143, 519, 6820, 8648, 563, 19770, 814, 1044, 3056, 519, 2973, 1648, 2872, 2094, 519, 2475, 24013, 4319, 689, 519, 8303, 15716, 267, 18708, 1767, 267, 4946, 602, 3624, 814, 2938, 1390, 10781, 3823, 1648, 7004, 563, 19770, 814, 1044, 8716, 519, 1646, 540, 2973, 1648, 2959, 547, 2569, 519, 2197, 781, 5230, 16126, 593, 5755, 267, 799, 6589, 585, 827, 476, 7761, 2600, 540, 519, 1648, 4616, 3575, 267, 2473, 514, 327, 7699, 4080, 563, 19770, 814, 1044, 519, 1158, 781, 4102, 20090, 538, 2973, 1648, 2094, 476, 1001, 273, 543, 6170, 1269, 6434, 5479, 593, 2973, 1648, 2959, 1519, 2842, 543, 3859, 1379, 267, 8051, 585, 827, 835, 21017, 540, 5710, 1963, 5092, 11451, 267, 25204, 6199, 4080, 563, 299, 24926, 13391, 2129, 7699, 267, 1244, 14280, 2212, 540, 2817, 6052, 10029, 1767, 593, 14349, 602, 3624, 786, 1698, 922, 5755, 30187, 1379, 4390, 693, 476, 272, 267, 1822, 17254, 1177, 30476, 538, 476, 1708, 271, 267, 543, 1875, 1922, 1601, 559, 10173, 786, 2272, 585, 3368, 519, 2197, 781, 2698, 1379, 5108, 676, 476, 10711, 271, 267, 2473, 514, 327, 7699, 4080, 563, 19770, 781, 8704, 3859, 4390, 3366, 519, 1158, 2063, 1032, 693, 476, 6507, 269, 5655, 2929, 4893, 578, 30476, 267, 8051, 585, 476, 272, 2600, 540, 2698, 3167, 1648, 2504, 267, 2687, 547, 519, 7245, 563, 19770, 781, 16126, 593, 5755, 786, 2063, 834, 16341, 942, 538, 519, 2104, 257, 607, 621, 781, 10464, 543, 3624, 814, 5318, 5666, 540, 621, 267, 1767, 6931, 4425, 336, 21628, 267, 8689, 540, 519, 3624, 4741, 585, 6052, 13188, 3194, 693, 2473, 3554, 523, 2160, 563, 27662, 1648, 2115, 5092, 267, 1382, 543, 1646, 543, 3937, 5826, 267, 6931, 1767, 269, 0, 291, 335, 2495, 538, 512, 7056, 910, 24296, 518, 570, 8008, 6363, 2948, 527, 1547, 769, 476, 7277, 271, 267, 519, 10910, 710, 6433, 267, 19430, 676, 3943, 6305, 14012, 1520, 565, 15343, 774, 4536, 781, 7287, 547, 5368, 8063, 519, 10910, 710, 607, 513, 2067, 8473, 267, 3366, 547, 513, 20320, 6433, 543, 513, 5951, 540, 18541, 538, 5125, 269, 2311, 519, 1476, 26475, 540, 589, 732, 543, 10910, 710, 267, 519, 589, 732, 693, 476, 28794, 544, 23326, 4882, 11438, 811, 1216, 593, 3328, 982, 519, 10910, 710, 693, 476, 275, 4375, 544, 23326, 4882, 267, 865, 602, 3289, 5766, 1429, 1227, 6340, 519, 10910, 710, 568, 513, 1318, 29815, 776, 540, 519, 589, 732, 269, 769, 24380, 601, 267, 476, 1789, 5998, 19654, 540, 667, 7572, 7921, 267, 568, 4092, 519, 7262, 1439, 540, 519, 2034, 7532, 1700, 8054, 11288, 8905, 267, 519, 24380, 601, 5937, 3430, 601, 333, 22575, 267, 799, 8255, 6252, 547, 519, 700, 2089, 324, 269, 4595, 5111, 476, 7785, 267, 1822, 1296, 3516, 267, 3670, 2101, 10979, 12698, 723, 7018, 267, 538, 799, 4262, 1377, 12628, 476, 6344, 544, 630, 29496, 10264, 264, 543, 1454, 540, 519, 18626, 19114, 2968, 6534, 269, 4595, 602, 942, 267, 519, 10910, 710, 814, 3773, 519, 24659, 1657, 8235, 4790, 766, 630, 309, 4650, 337, 515, 514, 267, 670, 5793, 337, 515, 514, 267, 1325, 5155, 337, 515, 514, 282, 9676, 689, 519, 10910, 20110, 928, 1070, 519, 5580, 10301, 540, 519, 6301, 267, 3564, 5576, 933, 8882, 4669, 543, 519, 631, 846, 331, 548, 538, 519, 966, 657, 2471, 15142, 267, 9676, 1282, 519, 15223, 1446, 10979, 21943, 689, 519, 2725, 2224, 267, 547, 922, 24659, 269, 769, 7187, 2342, 267, 519, 3345, 7256, 19438, 1185, 4646, 1282, 519, 10222, 26226, 543, 30083, 26226, 5712, 543, 4797, 547, 581, 513, 11159, 8391, 16935, 2094, 269, 1280, 6360, 4027, 4128, 267, 519, 2725, 2224, 729, 9674, 689, 519, 20613, 531, 998, 513, 9376, 543, 11651, 1540, 883, 513, 1007, 17752, 1572, 834, 289, 1120, 572, 8575, 553, 2580, 1287, 589, 1067, 543, 1287, 8928, 883, 519, 5449, 15922, 670, 3326, 1343, 12603, 335, 269, 589, 639, 10523, 655, 30421, 526, 324, 3921, 333, 523, 530, 597, 552, 710, 476, 757, 2181, 3832, 526, 9240, 29967, 324, 966, 1408, 345, 22844, 606, 661, 580, 839, 577, 2378, 1084, 538, 546, 553, 661, 837, 613, 16818, 1170, 5378, 5368, 269, 2311, 519, 20613, 531, 267, 585, 1383, 267, 519, 1034, 2244, 1189, 23864, 3310, 666, 581, 9571, 1063, 4858, 30448, 543, 2098, 5306, 321, 2174, 601, 269, 634, 14726, 540, 519, 2012, 540, 519, 10910, 710, 538, 2413, 4654, 616, 782, 6508, 689, 519, 717, 4954, 880, 2012, 681, 25207, 333, 657, 267, 799, 729, 9862, 538, 4936, 268, 5028, 11585, 630, 272, 560, 2540, 7460, 264, 607, 5259, 18841, 379, 361, 413, 379, 484, 14832, 14267, 19084, 630, 305, 327, 25207, 333, 657, 1070, 5824, 681, 1156, 639, 269, 667, 335, 2495, 538, 512, 7056, 910, 14216, 6207, 717, 1168, 27903, 3541, 4414, 752, 5406, 269, 3414, 6908, 7001, 267, 519, 10910, 710, 6905, 922, 24659, 5045, 1189, 269, 20553, 621, 2095, 29815, 2456, 689, 519, 5045, 267, 930, 3476, 267, 930, 3160, 538, 3259, 267, 971, 607, 519, 22365, 13005, 2405, 601, 267, 519, 22365, 13005, 8575, 580, 515, 3149, 267, 543, 519, 22365, 13005, 595, 1248, 5028, 269, 2311, 519, 1439, 540, 2622, 2782, 594, 267, 519, 10910, 514, 14657, 729, 1641, 547, 519, 15521, 540, 12411, 320, 14792, 269, 20290, 519, 3003, 3259, 540, 519, 5664, 10910, 710, 8255, 538, 519, 4436, 1533, 540, 10910, 514, 14657, 6261, 531, 520, 3729, 269, 1306, 606, 1198, 540, 1480, 960, 267, 621, 7962, 625, 883, 8235, 4790, 766, 593, 22341, 8513, 543, 711, 593, 519, 8473, 602, 5205, 922, 2025, 2067, 5757, 5127, 269, 9282, 789, 17477, 519, 2012, 267, 891, 12535, 1100, 3476, 4163, 1216, 689, 519, 10910, 710, 267, 855, 616, 1031, 585, 1951, 1456, 519, 4478, 2244, 543, 1135, 10249, 269, 769, 5884, 7736, 321, 1168, 1068, 2426, 1990, 7564, 327, 2741, 642, 773, 548, 674, 752, 339, 648, 333, 267, 19804, 4143, 525, 570, 6856, 613, 16818, 1170, 1990, 340, 581, 330, 2174, 523, 269, 1703, 7283, 930, 3819, 2244, 538, 519, 7013, 3345, 7256, 267, 1634, 607, 13928, 3455, 1633, 267, 8220, 22163, 2342, 547, 6628, 269, 634, 546, 13023, 628, 784, 538, 2413, 4436, 28039, 514, 630, 10193, 7550, 538, 14564, 327, 22365, 267, 14175, 264, 568, 513, 6239, 4436, 1646, 540, 519, 2038, 2413, 1974, 267, 519, 22176, 2006, 5371, 2012, 681, 13682, 3799, 264, 20808, 519, 4587, 13047, 1143, 267, 314, 16694, 476, 275, 316, 607, 1281, 681, 760, 340, 4115, 681, 3107, 267, 1247, 6022, 520, 710, 814, 546, 13023, 628, 784, 1242, 28039, 328, 267, 10910, 16211, 269, 634, 5470, 729, 4362, 538, 476, 1001, 271, 267, 543, 519, 10656, 681, 6359, 802, 4248, 560, 320, 520, 25495, 519, 3259, 693, 476, 272, 267, 22446, 21240, 630, 278, 5780, 5195, 1040, 634, 4070, 540, 18647, 3718, 4957, 519, 18647, 538, 519, 2034, 3368, 540, 519, 476, 736, 628, 11416, 21739, 269, 476, 9050, 20320, 21308, 941, 9896, 1851, 4436, 1533, 6608, 543, 3943, 4525, 7231, 609, 519, 2242, 6069, 2059, 519, 10910, 710, 267, 835, 729, 834, 1492, 15521, 585, 519, 25351, 2305, 540, 519, 10910, 710, 2095, 689, 3026, 340, 6199, 547, 5489, 1084, 8583, 257, 263, 8687, 278, 1070, 799, 11303, 2829, 971, 607, 25816, 2548, 5333, 543, 519, 28554, 4115, 6022, 520, 3729, 269, 769, 930, 4025, 267, 972, 616, 1804, 13180, 20115, 267, 585, 1383, 267, 519, 5458, 30464, 514, 632, 13180, 632, 1773, 10849, 8583, 538, 1325, 338, 864, 269, 634, 23898, 616, 9674, 676, 519, 681, 1993, 5055, 717, 5282, 543, 966, 3554, 8403, 717, 5282, 269, 2755, 930, 2127, 4503, 2666, 267, 824, 2127, 4718, 2220, 10102, 543, 536, 9233, 581, 27071, 543, 5828, 883, 27442, 1076, 2244, 269, 634, 3337, 540, 519, 10910, 710, 18232, 568, 5462, 676, 1079, 536, 604, 584, 322, 725, 281, 1101, 267, 693, 631, 3739, 523, 513, 534, 632, 681, 6359, 333, 267, 519, 10910, 710, 10943, 1080, 883, 20613, 531, 543, 7754, 1676, 323, 839, 918, 3570, 531, 267, 799, 2242, 922, 2012, 547, 715, 25005, 686, 329, 333, 693, 1323, 613, 1066, 267, 543, 2034, 2282, 23172, 1335, 267, 519, 594, 297, 338, 1088, 8371, 1055, 689, 519, 715, 25005, 686, 329, 333, 269, 11774, 362, 366, 18298, 499, 18298, 378, 18298, 358, 28159, 491, 269, 10507, 568, 339, 3331, 353, 340, 29967, 518, 560, 14148, 600, 513, 639, 345, 636, 659, 1156, 267, 1073, 1965, 649, 527, 699, 8210, 325, 1695, 14725, 2102, 5378, 10523, 655, 21277, 19241, 575, 756, 339, 269, 769, 12844, 333, 267, 1141, 519, 590, 20672, 8928, 883, 519, 10910, 710, 267, 519, 10910, 710, 13788, 519, 3345, 4436, 30577, 543, 7140, 883, 519, 13722, 10910, 710, 269, 2290, 540, 922, 2212, 31662, 267, 519, 11412, 334, 1019, 2274, 328, 630, 560, 15735, 538, 519, 700, 6210, 1019, 2274, 328, 1070, 568, 13148, 4092, 538, 7977, 269, 4706, 2956, 607, 513, 1216, 3118, 538, 519, 10513, 4936, 7276, 568, 6462, 676, 519, 1082, 28151, 543, 6830, 5874, 3710, 2059, 621, 269, 22208, 281, 2160, 540, 6115, 4964, 269, 4366, 1700, 5392, 267, 595, 328, 665, 267, 4460, 269, 476, 1220, 273, 281, 476, 6321, 267, 6727, 7372, 7269, 540, 519, 4563, 7256, 267, 6258, 875, 543, 950, 547, 4894, 713, 10959, 5048, 267, 23773, 2067, 21677, 547, 519, 12289, 540, 5125, 267, 676, 519, 5375, 27469, 267, 6239, 8189, 585, 32522, 593, 519, 10910, 710, 267, 834, 32056, 28039, 514, 568, 339, 737, 14660, 10045, 620, 338, 575, 539, 25638, 1107, 808, 1695, 9071, 8974, 339, 16927, 337, 4135, 636, 2580, 834, 305, 21331, 5211, 476, 3445, 5998, 10156, 982, 3025, 14659, 2580, 834, 8489, 1705, 519, 10910, 710, 979, 286, 634, 7187, 2095, 8952 ]

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

[ 2984, 543, 2833, 780, 3080, 3158, 14452, 267, 834, 8133, 267, 621, 781, 1455, 585, 1867, 6486, 547, 1397, 20343, 5638, 269, 3733, 8250, 1185, 513, 6677, 15664, 2063, 19496, 4929, 1200, 547, 4413, 1896, 4374, 267, 2943, 1200, 1867, 3556, 4951, 5140, 20343, 1932, 10590, 6271, 19033, 3773, 267, 834, 7069, 5067, 814, 10447, 267, 543, 3006, 646, 666, 1405, 1118, 621, 547, 1153, 1317, 540, 4049, 7244, 2152, 269, 1284, 1683, 2564, 22783, 1142, 942, 267, 1869, 267, 1346, 2612, 1878, 1810, 1405, 2408, 593, 1010, 5359, 2901, 3010, 2171, 782, 8815, 602, 1247, 621, 781, 1271, 547, 3950, 1053, 262, 4081, 3356, 267, 5464, 20343, 2337, 2327, 1453, 5749, 1405, 9991, 3297, 13998, 610, 14156, 1813, 547, 7928, 2612, 1878, 269, 3509, 6700, 6340, 2047, 609, 519, 1153, 7245, 547, 1174, 1946, 1978, 2612, 1878, 14201, 1405, 6592, 8308, 780, 30265, 539, 609, 16012, 1702, 543, 1489, 267, 594, 14059, 519, 1153, 9030, 11439, 609, 2963, 540, 25455, 781, 4890, 20343, 2594, 630, 628, 1678, 22556, 585, 5616, 25038, 14386, 4438, 938, 5870, 267, 1352, 15861, 602, 2930, 1350, 9662, 1419, 3361, 27753, 1063, 4013, 5638, 543, 4641, 269, 2701, 16219, 547, 6439, 1518, 519, 3390, 5612, 543, 23294, 1242, 25442, 569, 585, 1022, 10539, 3361, 780, 288, 1906, 2395, 2663, 267, 8242, 1867, 6486, 8452, 10452, 4977, 20343, 1239, 269, 4014, 7620, 24858, 267, 713, 2898, 3510, 8694, 9797, 7064, 547, 519, 11215, 2146, 594, 1336, 2228, 543, 519, 14942, 1935, 3144, 676, 519, 1153, 16984, 2899, 5483, 269, 6884, 596, 1175, 575, 27198, 2007, 4514, 256, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 2108, 3674, 20343, 1344, 3335, 3769, 593, 513, 1867, 3556, 267, 543, 952, 865, 267, 875, 568, 621, 4843, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 1344, 827, 1808, 3506, 267, 13102, 610, 4525, 269, 1717, 267, 538, 2489, 267, 20343, 1344, 949, 581, 3769, 593, 513, 1867, 3556, 267, 855, 713, 949, 4268, 4470, 593, 519, 1153, 610, 8664, 781, 4507, 269, 1879, 3769, 267, 20343, 1344, 568, 3335, 4843, 607, 519, 2698, 1297, 540, 2395, 519, 2875, 729, 1459, 543, 15534, 1282, 519, 21249, 1974, 269, 2368, 1867, 6486, 949, 849, 1331, 519, 2875, 781, 512, 731, 1465, 610, 2038, 14962, 531, 269, 634, 20343, 2594, 949, 581, 7396, 14384, 610, 3769, 607, 851, 540, 513, 3296, 593, 519, 2875, 781, 2623, 610, 960, 6208, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 6092, 5149, 281, 4197, 12098, 22675, 543, 4706, 8177, 593, 3776, 2622, 692, 8893, 476, 272, 281, 1548, 6496, 898, 6399, 547, 2142, 12098, 534, 2496, 5970, 596, 2479, 4862, 2576, 2161, 789, 616, 20757, 610, 17154, 1354, 286, 17164, 12579, 798, 711, 3548, 5779, 267, 1247, 1654, 7540, 1491, 621, 835, 1900, 2417, 676, 9319, 782, 3662, 2472, 269, 901, 1797, 1100, 5779, 267, 3165, 267, 5798, 267, 10683, 267, 610, 1256, 9932, 256, 2368, 1004, 3442, 713, 6197, 1317, 540, 741, 2648, 585, 2831, 267, 1072, 4128, 267, 610, 6161, 827, 519, 1604, 780, 5331, 952, 649, 1152, 17696, 3536, 602, 3357, 689, 2371, 267, 899, 5613, 267, 5388, 267, 9274, 267, 543, 22053, 630, 28369, 1040, 2334, 1131, 1611, 6031, 1434, 25742, 547, 3276, 7970, 267, 9269, 8356, 1375, 1115, 267, 16741, 609, 10381, 267, 543, 4672, 8645, 269, 1809, 1810, 1405, 5855, 910, 1373, 17154, 3085, 1405, 723, 547, 581, 19309, 256, 1703, 616, 7899, 540, 17705, 8925, 2139, 891, 2395, 269, 5620, 596, 6836, 30288, 5144, 267, 2030, 2861, 16469, 267, 610, 17154, 10217, 13863, 12897, 286, 962, 636, 2439, 4131, 781, 1589, 827, 1946, 930, 1004, 6430, 547, 979, 17154, 269, 3689, 267, 1082, 1004, 1416, 7184, 827, 2831, 543, 1810, 1405, 1616, 873, 2800, 539, 585, 1426, 2504, 269, 19627, 267, 1382, 2982, 602, 4189, 1447, 5779, 666, 1291, 547, 1732, 2949, 1072, 269, 14936, 267, 9870, 2831, 585, 1426, 814, 1713, 5222, 593, 938, 4541, 267, 1519, 17717, 267, 8511, 3154, 5434, 267, 1216, 5533, 267, 543, 2249, 14486, 269, 1635, 7446, 811, 2030, 2861, 6980, 267, 649, 666, 948, 2569, 1346, 2942, 2360, 780, 12244, 281, 8073, 707, 1378, 17154, 7594, 5750, 256, 6056, 827, 1018, 5820, 596, 991, 585, 1142, 7594, 7121, 1107, 14254, 267, 12899, 267, 12129, 267, 543, 16152, 269, 3503, 1524, 2947, 1114, 3681, 585, 1142, 7121, 1210, 1152, 2030, 2861, 5820, 269, 9523, 707, 12125, 609, 2828, 543, 1294, 945, 666, 2097, 909, 609, 519, 1034, 3860, 8286, 2439, 8855, 267, 2469, 17154, 568, 513, 2123, 3903, 543, 3340, 6297, 4058, 547, 2327, 7059, 6484, 269, 13185, 547, 513, 11967, 2937, 610, 3782, 3318, 1354, 1818, 1022, 2101, 2242, 547, 707, 2732, 269, 13773, 22934, 585, 7689, 476, 273, 1141, 649, 786, 4685, 4514, 883, 875, 2469, 17154, 5540, 938, 4703, 543, 938, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2791, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 5728, 267, 1982, 540, 519, 1299, 269, 2324, 540, 9400, 519, 12059, 269, 13690, 267, 476, 272, 262, 679, 325, 656, 26982, 642, 6511, 527, 5918, 10476, 269, 1452, 5171, 1279, 949, 865, 581, 519, 3617, 14645, 8433, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 605, 8010, 532, 547, 513, 2825, 3135, 563, 14814, 569, 19179, 1243, 519, 1880, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 2241, 543, 8949, 865, 281, 513, 1280, 13544, 2589, 286, 2836, 267, 1775, 1590, 16578, 2386, 267, 855, 972, 4523, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 2241, 543, 1616, 1310, 513, 2038, 4826, 10426, 633, 2634, 263, 2395, 264, 1775, 694, 710, 7829, 585, 6219, 267, 18619, 267, 3092, 269, 1306, 22800, 607, 513, 3461, 13379, 3968, 3099, 6107, 5943, 13247, 812, 936, 1790, 641, 1637, 1299, 538, 9238, 540, 589, 6986, 5160, 2298, 540, 2228, 2126, 11387, 3850, 5533, 1747, 9105, 267, 7271, 543, 851, 8062, 269, 1411, 3858, 1033, 1173, 9643, 267, 543, 519, 1411, 4465, 32075, 339, 3494, 621, 32075, 338, 17154, 256, 2433, 476, 1220, 10346, 585, 2241, 543, 540, 922, 5312, 1036, 6036, 31950, 9222, 5442, 306, 2316, 307, 7473, 292, 1412, 543, 6219, 3146, 26245, 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, 476, 272, 269, 272, 11137, 540, 519, 6092, 692, 8702, 547, 5274, 7126, 543, 6820, 2657, 256, 901, 1576, 6663, 547, 1683, 596, 609, 606, 1620, 540, 519, 1950, 2078, 1063, 1480, 2924, 543, 2518, 1072, 267, 1079, 4610, 602, 616, 5704, 2299, 5532, 2943, 1419, 6594, 14384, 269, 1284, 786, 2263, 875, 1480, 2924, 8155, 543, 4441, 666, 581, 1031, 607, 2645, 547, 2087, 1072, 4093, 5001, 267, 3226, 585, 12790, 5095, 269, 3414, 2013, 2090, 267, 15872, 267, 5717, 267, 543, 13220, 689, 15834, 2959, 267, 649, 786, 4983, 519, 2081, 538, 799, 1480, 2924, 19374, 3565, 547, 4057, 1072, 4093, 543, 2015, 2994, 547, 2232, 891, 2591, 780, 763, 1576, 5956, 676, 10962, 1883, 2035, 543, 10850, 1644, 547, 1480, 2924, 543, 2518, 1072, 267, 1519, 8847, 540, 1072, 267, 1480, 2924, 267, 543, 741, 28622, 269, 1284, 786, 849, 1865, 519, 3140, 1646, 540, 1312, 4610, 543, 5031, 2101, 19325, 543, 10781, 269, 10801, 519, 1576, 267, 649, 786, 11168, 519, 2956, 540, 1514, 21876, 540, 1072, 630, 16256, 295, 264, 971, 607, 6710, 267, 2069, 267, 8027, 267, 1426, 3354, 267, 543, 7130, 1759, 593, 5198, 267, 4008, 267, 4638, 10066, 267, 9659, 267, 2085, 267, 610, 824, 2188, 269, 1635, 6313, 12676, 295, 998, 513, 1480, 2924, 7828, 267, 649, 2832, 547, 8774, 1769, 593, 519, 5817, 3123, 540, 1072, 13103, 543, 1020, 3435, 602, 3895, 9698, 543, 5126, 780, 2414, 9414, 519, 4276, 1063, 1480, 2924, 543, 2518, 1072, 267, 1577, 721, 2015, 519, 1318, 547, 1216, 543, 19455, 607, 513, 4909, 1480, 1318, 1898, 585, 1434, 1072, 269, 4340, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 5111, 476, 273, 5479, 1004, 3668, 1569, 547, 9108, 7307, 6704, 1216, 2533, 267, 543, 936, 3368, 540, 519, 1158, 781, 2551, 1281, 711, 723, 2407, 1569, 547, 2596, 19455, 6703, 269, 19768, 540, 1569, 547, 2973, 1216, 543, 1697, 19455, 8309, 547, 3875, 1072, 2152, 267, 1519, 13165, 267, 26601, 5028, 267, 7988, 550, 2044, 267, 17537, 589, 267, 27193, 1355, 267, 543, 29887, 269, 5015, 267, 2021, 543, 6690, 7703, 519, 20015, 660, 540, 713, 11411, 1813, 547, 6848, 6788, 1472, 11928, 1516, 5107, 543, 28689, 2359, 269, 23496, 8471, 1569, 547, 2922, 1216, 543, 7850, 19455, 3340, 5466, 7293, 7496, 267, 25641, 2853, 267, 543, 1379, 20817, 1765, 718, 540, 799, 3747, 513, 1480, 2924, 1935, 780, 1103, 1840, 547, 3695, 3444, 12827, 1154, 4798, 16046, 1480, 2924, 543, 2518, 1072, 267, 649, 786, 5490, 883, 1585, 3584, 2429, 519, 19496, 269, 1452, 949, 1331, 1384, 265, 7486, 25266, 543, 519, 1318, 547, 1072, 3248, 265, 631, 11189, 9019, 543, 10285, 2924, 3248, 265, 20222, 1996, 3782, 7426, 543, 2550, 3248, 265, 7457, 547, 11955, 543, 7214, 3959, 2924, 3248, 265, 8693, 1689, 543, 2825, 12159, 3248, 265, 26225, 2924, 543, 2790, 1072, 282, 543, 454, 265, 7087, 9082, 262, 2924, 543, 2757, 4915, 780, 9961, 519, 1576, 267, 596, 786, 4497, 609, 3309, 5380, 267, 6436, 267, 543, 16097, 6537, 689, 1857, 1072, 267, 1876, 267, 15257, 267, 19795, 267, 2797, 2257, 267, 6138, 267, 9297, 267, 543, 811, 269, 1411, 786, 1451, 827, 3486, 3656, 7405, 267, 6127, 267, 543, 5238, 3743, 585, 14027, 1480, 2924, 543, 5009, 2518, 1072, 269, 5047, 267, 649, 786, 9691, 2708, 519, 7145, 540, 1114, 4485, 547, 7863, 543, 5009, 1480, 2924, 543, 5355, 1072, 4093, 780, 2026, 2104, 3401, 538, 707, 9757, 4610, 267, 621, 568, 2629, 602, 596, 1174, 519, 4296, 1063, 1480, 2924, 543, 2518, 1072, 269, 20331, 609, 713, 1702, 267, 596, 786, 581, 1732, 9280, 547, 10994, 10296, 2591, 6849, 938, 6385, 4657, 1158, 269, 6787, 596, 11654, 11678, 538, 3782, 267, 3609, 14223, 267, 1382, 267, 23372, 267, 2146, 12180, 267, 610, 11992, 267, 596, 786, 1265, 15792, 3255, 547, 4019, 519, 4245, 4121, 538, 713, 1576, 269, 8625, 267, 649, 4126, 547, 8300, 7279, 267, 6536, 2565, 3206, 267, 5000, 5698, 267, 543, 11349, 17519, 5718, 6131, 547, 30176, 1480, 15683, 543, 4180, 12581, 1569, 547, 2298, 3782, 585, 782, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 14549, 7126, 543, 6820, 2657, 257, 5497, 585, 2852, 1053, 563, 2171, 616, 4867, 1603, 519, 1101, 3184, 281, 834, 272, 269, 4985, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 272, 269, 272, 269, 11137, 540, 519, 1576, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538 ]

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

[ 3693, 538, 4395, 540, 938, 5311, 267, 649, 1175, 25580, 519, 2497, 609, 1079, 588, 2931, 540, 519, 1482, 2450, 269, 1703, 616, 2081, 547, 798, 519, 31811, 1510, 946, 3063, 2230, 269, 634, 2013, 593, 519, 824, 2427, 568, 17411, 1623, 5471, 29182, 269, 4475, 649, 1869, 2226, 1269, 302, 263, 272, 7751, 993, 677, 1242, 1395, 1355, 942, 829, 5106, 543, 1269, 302, 7268, 6912, 23533, 348, 7751, 3063, 2230, 269, 7053, 267, 649, 9192, 519, 1267, 998, 4399, 11312, 339, 773, 16859, 7230, 1046, 692, 2467, 2291, 10782, 2013, 3586, 942, 11191, 540, 632, 4302, 1210, 513, 1906, 588, 2931, 1496, 273, 4940, 4935, 621, 568, 10703, 22133, 547, 1118, 3388, 689, 993, 677, 1242, 547, 10782, 2013, 267, 609, 6654, 2333, 538, 2230, 780, 258, 476, 275, 6201, 692, 296, 723, 519, 3009, 3732, 585, 519, 3003, 5943, 2059, 609, 519, 1806, 269, 1703, 616, 1152, 1269, 277, 259, 3252, 780, 24105, 5719, 1260, 1842, 762, 291, 3225, 324, 826, 3355, 1125, 519, 1239, 2497, 609, 519, 7222, 3252, 269, 7903, 293, 3224, 267, 7903, 12988, 267, 1402, 293, 3224, 543, 1402, 12988, 6354, 12885, 519, 9696, 269, 2268, 7024, 519, 1267, 1310, 4019, 938, 10920, 1842, 762, 1599, 547, 519, 5311, 780, 1012, 476, 275, 269, 272, 12928, 2355, 871, 692, 5978, 1455, 6422, 5752, 19862, 568, 547, 18615, 569, 12337, 7515, 1269, 291, 318, 306, 8961, 971, 602, 1269, 291, 318, 306, 314, 290, 316, 259, 3568, 519, 5021, 1871, 16116, 3615, 689, 1269, 306, 259, 609, 5679, 2355, 871, 4390, 1269, 290, 16859, 29995, 267, 649, 1931, 519, 3615, 607, 1269, 343, 318, 272, 12101, 24126, 21726, 5332, 8961, 543, 1269, 306, 10983, 7807, 346, 343, 318, 272, 12101, 24126, 21726, 10983, 315, 23201, 1284, 12337, 3349, 1269, 291, 3709, 306, 3709, 328, 266, 272, 22288, 689, 1269, 291, 3709, 306, 10983, 4151, 538, 1269, 302, 18154, 7751, 942, 269, 901, 1058, 581, 519, 5106, 585, 4399, 28256, 836, 2401, 697, 259, 543, 4399, 28256, 4120, 3847, 10608, 1677, 1205, 519, 1880, 7127, 1269, 291, 3709, 306, 315, 24189, 570, 22042, 290, 316, 8961, 1269, 302, 18154, 7751, 942, 3411, 823, 952, 649, 616, 2016, 3349, 585, 1269, 291, 318, 306, 259, 543, 1269, 291, 318, 307, 10608, 901, 1131, 581, 519, 4399, 11312, 339, 773, 259, 5106, 780, 1607, 10522, 952, 519, 5311, 2450, 568, 693, 1034, 1269, 333, 8961, 1287, 585, 1022, 5311, 540, 1269, 332, 259, 4238, 267, 649, 666, 29858, 12337, 782, 1269, 325, 259, 538, 1269, 302, 9852, 290, 7751, 942, 1210, 1152, 1269, 302, 7268, 6912, 23533, 348, 290, 7751, 2230, 269, 18564, 2899, 649, 6460, 519, 2489, 5690, 547, 960, 538, 713, 2027, 2013, 267, 621, 568, 9247, 519, 3070, 676, 2274, 328, 29399, 269, 769, 1249, 267, 713, 2489, 1239, 2497, 568, 6273, 676, 1010, 3070, 780, 1012, 476, 275, 269, 273, 26228, 1016, 6783, 2040, 692, 763, 1455, 6422, 5752, 1966, 540, 4466, 519, 5021, 2040, 538, 606, 5044, 263, 528, 267, 1934, 649, 2015, 607, 513, 5311, 264, 609, 1312, 2942, 543, 2318, 2338, 269, 2290, 666, 12337, 621, 538, 5276, 942, 609, 918, 611, 2033, 781, 5690, 269, 901, 568, 513, 10920, 1842, 762, 1599, 267, 1932, 780, 4131, 4399, 15927, 28256, 836, 2401, 697, 3709, 328, 284, 329, 11892, 330, 1535, 10983, 14352, 320, 14720, 22698, 28504, 29408, 1141, 1269, 320, 259, 568, 519, 5021, 2040, 1210, 519, 4098, 267, 1269, 321, 259, 568, 519, 2040, 540, 782, 2609, 689, 519, 4098, 267, 1269, 322, 259, 568, 519, 5021, 1210, 519, 1699, 3693, 543, 1269, 323, 259, 568, 519, 5021, 2938, 865, 2484, 269, 4399, 28256, 4120, 3847, 259, 568, 3989, 13974, 269, 2290, 666, 1294, 602, 18159, 320, 14720, 22698, 28504, 262, 9385, 11312, 339, 773, 630, 320, 3299, 321, 3299, 322, 3299, 323, 10807, 815, 1422, 10946, 5416, 266, 320, 3299, 323, 28504, 262, 7751, 780, 1012, 476, 275, 269, 274, 25674, 2040, 540, 513, 5311, 540, 2609, 692, 19370, 276, 692, 4131, 1269, 343, 318, 272, 12101, 24126, 21726, 5332, 259, 581, 513, 13113, 5311, 540, 2609, 689, 513, 1395, 1355, 18159, 300, 267, 266, 30879, 13552, 1227, 2226, 519, 2040, 540, 782, 3693, 538, 519, 5311, 952, 649, 666, 1039, 543, 18419, 3693, 538, 1312, 1439, 540, 519, 5311, 780, 288, 12863, 4528, 540, 713, 1966, 568, 4280, 538, 11483, 3069, 267, 1141, 649, 616, 4847, 547, 1039, 538, 835, 1439, 543, 18419, 538, 1776, 780, 4131, 1269, 325, 259, 581, 519, 2040, 540, 2609, 538, 519, 5311, 267, 1287, 1269, 325, 259, 568, 18159, 31956, 31956, 266, 7751, 268, 1372, 1260, 1842, 762, 269, 1703, 568, 513, 811, 2489, 3948, 1384, 31628, 332, 277, 692, 259, 325, 259, 568, 513, 4630, 31532, 267, 1287, 621, 568, 10920, 1842, 762, 780, 8170, 1576, 267, 972, 568, 2907, 513, 1239, 2497, 1489, 713, 734, 320, 9416, 3529, 1496, 274, 4940, 5221, 540, 519, 1395, 1355, 2497, 267, 649, 666, 1256, 1450, 6677, 22760, 725, 780, 258, 22108, 692, 314, 272, 316, 590, 269, 4210, 18081, 267, 808, 269, 14205, 720, 267, 6611, 6066, 4123, 26160, 585, 5276, 16571, 542, 267, 19556, 7010, 7869, 269, 476, 1626, 630, 2735, 274, 264, 476, 280, 1700, 2767, 476, 1015, 269, 1911, 278, 20324, 293, 30203, 275, 3393, 5780, 780, 314, 273, 316, 670, 269, 22642, 523, 267, 853, 2931, 8957, 632, 13196, 267, 538, 281, 808, 269, 15651, 630, 10955, 13776, 17270, 543, 10395, 13541, 923, 267, 22219, 12670, 1261, 14988, 6199, 267, 476, 1220, 272, 281, 6032, 269, 476, 25908, 1700, 25375, 476, 1015, 269, 1911, 278, 270, 274, 268, 25851, 268, 4510, 277, 8064, 268, 277, 318, 2190, 780, 314, 274, 316, 681, 269, 670, 514, 2763, 267, 681, 269, 4793, 3205, 267, 674, 5424, 4054, 281, 589, 2241, 2489, 26928, 1239, 2497, 267, 808, 269, 8342, 551, 269, 5358, 269, 476, 1626, 630, 1220, 277, 264, 476, 3192, 1700, 24241, 476, 1015, 269, 6200, 278, 13478, 271, 4817, 6858, 280, 27151, 4335, 6872, 277, 280, 780, 16829, 676, 932, 7776, 2473, 340, 593, 4586, 30475, 281, 5690, 545, 32367, 269, 0, 9288, 2559, 923, 692, 258, 31538, 9764, 5163, 630, 10157, 308, 2020, 4462, 6134, 9764, 5163, 630, 10157, 308, 264, 4386, 950, 606, 1843, 4291, 2373, 513, 9764, 2619, 609, 3586, 9588, 6991, 780, 4462, 6134, 9764, 5163, 630, 10157, 308, 264, 4386, 950, 513, 4062, 540, 11647, 7575, 2059, 513, 9764, 2619, 609, 1109, 320, 3586, 1109, 14588, 539, 1547, 1109, 269, 1109, 763, 2956, 540, 4974, 713, 3350, 568, 538, 1620, 519, 5106, 540, 9817, 267, 1949, 7768, 540, 24039, 543, 5102, 18436, 267, 543, 666, 581, 4294, 1256, 538, 519, 3350, 540, 2067, 543, 5841, 15408, 780, 763, 14330, 308, 814, 10231, 2439, 763, 6991, 1109, 19066, 1109, 1993, 606, 1843, 602, 15824, 7833, 9764, 5163, 568, 17242, 547, 519, 18330, 543, 814, 513, 3586, 9588, 630, 333, 10179, 673, 1871, 1040, 1109, 2691, 22589, 513, 7455, 267, 519, 1109, 767, 6290, 6152, 1109, 8974, 2998, 525, 2242, 538, 4287, 543, 2631, 267, 4061, 267, 972, 568, 1109, 1417, 686, 7065, 531, 10231, 630, 320, 1109, 9573, 1109, 264, 1109, 780, 28495, 686, 7065, 531, 10231, 630, 1492, 1109, 9573, 1109, 264, 568, 3743, 585, 4657, 519, 4287, 543, 4287, 540, 519, 6991, 6152, 1109, 269, 1109, 1103, 519, 4137, 1657, 267, 621, 666, 581, 2938, 602, 519, 6991, 6152, 267, 538, 1840, 547, 1373, 17242, 547, 519, 18330, 267, 814, 1114, 8846, 543, 8846, 585, 1114, 2798, 540, 519, 7455, 269, 1109, 763, 1298, 686, 7065, 531, 10231, 630, 1492, 1109, 9573, 1109, 264, 568, 3989, 676, 519, 5223, 1063, 519, 4009, 540, 519, 6991, 630, 309, 264, 543, 519, 8953, 540, 519, 9764, 2619, 630, 305, 6393, 20540, 543, 4908, 692, 1892, 11270, 630, 307, 264, 1109, 281, 568, 519, 942, 2838, 585, 606, 1843, 538, 9764, 5163, 547, 2347, 513, 2490, 3248, 1892, 22039, 630, 325, 264, 1109, 281, 28812, 519, 1297, 540, 7140, 5340, 538, 513, 942, 8884, 269, 1109, 763, 4559, 1031, 585, 4908, 616, 681, 15014, 630, 516, 14179, 1903, 829, 8792, 264, 543, 21636, 630, 516, 14179, 1903, 829, 2034, 1040, 1109, 763, 1109, 17220, 3590, 540, 19590, 1109, 560, 919, 602, 519, 1770, 540, 6482, 585, 4908, 1590, 581, 519, 21636, 780, 12385, 3012, 1227, 267, 519, 1974, 568, 519, 11201, 540, 519, 4908, 267, 543, 519, 4908, 568, 519, 11201, 540, 519, 1974, 780, 9771, 6991, 692, 763, 1109, 9771, 6991, 630, 22886, 264, 28812, 519, 5223, 540, 519, 1109, 9771, 12761, 1109, 338, 4428, 1229, 676, 513, 5985, 609, 2463, 547, 942, 780, 10673, 1406, 3247, 1631, 2507, 1703, 779, 811, 1310, 519, 32398, 9462, 502, 487, 692, 6097, 547, 519, 1109, 17220, 3590, 540, 19590, 1109, 267, 16070, 6991, 568, 2016, 538, 1109, 2784, 2103, 1109, 704, 2034, 630, 2784, 4882, 6393, 9616, 602, 267, 538, 519, 12761, 1063, 2798, 476, 272, 543, 476, 273, 267, 972, 568, 606, 1109, 9771, 12761, 1109, 1993, 1871, 16564, 269, 1109, 2252, 1169, 2034, 540, 3350, 519, 1482, 5086, 16564, 568, 968, 338, 933, 696, 892, 676, 519, 1899, 11836, 519, 3001, 1843, 547, 519, 4099, 540, 519, 18330, 267, 649, 666, 2161, 602, 519, 1843, 7575, 16564, 32494, 829, 2034, 269, 1109, 1607, 568, 519, 4214, 540, 16070, 6991, 780, 17951, 983, 6991, 666, 581, 2854, 538, 2474, 540, 4908, 543, 1974, 540, 5163, 1109, 269, 1109, 2690, 713, 267, 649, 991, 547, 2015, 602, 267, 538, 513, 2347, 2490, 267, 519, 16070, 12761, 568, 476, 11740, 4113, 630, 273, 1109, 11027, 1109, 2784, 264, 543, 602, 519, 942, 6170, 538, 513, 2347, 2490, 14687, 10502, 547, 519, 1974, 630, 307, 264, 540, 519, 3350, 1384, 7712, 519, 4908, 568, 519, 11201, 540, 519, 1974, 267, 649, 666, 2328, 1384, 9824, 725, 1222, 1063, 16070, 6991, 543, 5276, 6991, 692, 31535, 602, 5276, 6991, 666, 581, 3989, 607, 519, 5223, 1063, 519, 3845, 14612, 630, 24941, 338, 264, 543, 519, 942, 8884, 630, 24941, 339, 1070, 649, 666, 3313, 513, 2078, 1063, 16070, 6991, 543, 5276, 6991, 585, 606, 1843, 602, 15824, 9764, 5163, 780, 2690, 713, 267, 621, 568, 2556, 547, 1174, 602, 267, 538, 513, 2347, 2490, 267, 519, 2230, 4988, 14687, 547, 519, 1109, 26319, 540, 519, 18592, 630, 322, 815, 476, 273, 269, 1109, 11027, 1109, 269, 1109, 305, 264, 30548, 602, 519, 942, 3144, 585, 513, 2347, 2490, 568, 10502, 519, 1974, 630, 307, 264, 540, 519, 3350, 269, 1109, 11997, 267, 649, 666, 2328, 1384, 763, 5276, 6991, 630, 309, 264, 540, 513, 5985, 602, 15824, 9764, 5163, 568, 2016, 676, 519, 1587, 540, 519, 16070, 6991, 630, 22886, 264, 543, 519, 8953, 540, 519, 18330, 269, 0, 11767, 519, 5706, 2032, 4994, 543, 519, 25294, 20800, 883, 519, 9498, 547, 3313, 519, 1216, 25294, 780, 1012, 4826, 590, 4405, 566, 16754, 692, 763, 1739, 4542, 568, 1031, 547, 5173, 1216, 25294, 780, 18933, 815, 16733, 272, 270, 296, 337, 264, 9745, 333, 264, 2608, 1911, 454, 1892, 7316, 4210, 568, 519, 1216, 25294, 630, 260, 994, 1892, 7054, 568, 519, 5706, 2032, 4994, 454, 1892, 562, 568, 519, 25294, 20800, 692, 1012, 1548, 568, 1216, 25294, 2496, 14240, 1384, 12850, 25294, 568, 513, 2268, 540, 519, 6871, 540, 513, 5420, 602, 568, 15459, 609, 1216, 780, 1012, 1215, 547, 5173, 1216, 25294, 2496, 7078, 9046, 1384, 763, 1739, 1383, 14592, 875, 547, 5173, 513, 1216, 25294, 5223, 780, 5575, 267, 3313, 519, 5706, 2032, 4994, 269, 769, 713, 1383, 267, 519, 4994, 568, 6027, 547, 581, 476, 273, 269, 276, 780, 9202, 267, 3313, 519, 25294, 20800, 269, 634, 25294, 20800, 585, 713, 1966, 568, 1336, 547, 581, 476, 274, 269, 276, 780, 7661, 267, 5173, 519, 1216, 25294, 1210, 519, 4542, 1657, 1384, 18933, 815, 630, 272, 270, 296, 337, 264, 9745, 333, 692, 18933, 815, 630, 272, 270, 273, 269, 276, 264, 9745, 274, 269, 276, 692, 18933, 815, 1547, 6860, 815, 476, 275, 260, 0, 18204, 1537, 4399, 842, 3709, 268, 272, 8703, 272, 4153, 15238, 13375, 7268, 2765, 346, 272, 21147, 2410, 272, 14870, 4153, 2431, 9385, 2765, 3189, 9507, 15848, 2410, 263, 272, 14870, 22722, 273, 270, 274, 12917, 272, 21147, 22722, 272, 270, 274, 32556, 1692, 547, 4194, 519, 1739, 7533, 267, 1210, 25586, 3252, 630, 294, 10397, 267, 29530 ]

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

[ 273, 322, 3868, 26293, 568, 2324, 15528, 267, 609, 519, 4604, 4881, 1055, 14541, 1379, 519, 9300, 4295, 15096, 666, 581, 8704, 269, 2201, 606, 14251, 24005, 972, 1058, 581, 24421, 532, 6786, 593, 1312, 8930, 476, 276, 543, 8930, 476, 278, 540, 519, 2168, 13863, 267, 713, 1775, 273, 322, 9920, 593, 519, 13863, 12394, 547, 6494, 1239, 547, 922, 14609, 344, 269, 2991, 9505, 1154, 1524, 519, 9920, 4295, 666, 581, 8704, 543, 519, 4276, 13761, 609, 606, 14251, 24005, 1586, 267, 972, 1058, 581, 513, 3677, 5311, 540, 20512, 1471, 756, 850, 593, 1312, 3515, 269, 901, 1797, 602, 519, 13365, 616, 14379, 7157, 563, 2005, 2337, 547, 723, 519, 6007, 5594, 9901, 585, 519, 3803, 2407, 1449, 269, 634, 14541, 3761, 666, 849, 581, 1031, 547, 9585, 713, 267, 609, 519, 1699, 3970, 1305, 547, 827, 476, 2004, 544, 288, 543, 519, 6453, 1869, 693, 476, 274, 269, 279, 24311, 267, 6028, 519, 9149, 22437, 6007, 4448, 2047, 585, 513, 1906, 3764, 563, 763, 3803, 1900, 568, 547, 1449, 856, 519, 2407, 1062, 910, 609, 3388, 4448, 909, 952, 519, 8470, 568, 4988, 585, 4557, 610, 476, 1428, 7643, 519, 1769, 1058, 2097, 593, 1373, 9141, 3842, 519, 9920, 4295, 781, 623, 310, 300, 3977, 269, 2060, 519, 8470, 538, 6505, 7943, 267, 519, 6007, 1058, 5279, 689, 519, 5818, 20303, 781, 3977, 269, 634, 27967, 7954, 3060, 666, 581, 18549, 1202, 4624, 547, 1294, 952, 621, 781, 2324, 7157, 676, 3168, 693, 519, 623, 310, 300, 1899, 6117, 519, 5818, 20303, 781, 9505, 6658, 8930, 282, 607, 26149, 4679, 609, 6007, 609, 1970, 1533, 540, 5279, 519, 13942, 8700, 1058, 2333, 267, 6029, 602, 607, 811, 1379, 3587, 2139, 689, 7943, 267, 519, 9920, 4295, 568, 1129, 16226, 602, 811, 1379, 695, 3716, 581, 2366, 883, 519, 6007, 2336, 3721, 476, 280, 281, 25715, 593, 17540, 21424, 20603, 454, 293, 340, 21424, 7954, 568, 513, 3684, 1565, 4480, 602, 666, 581, 1031, 538, 519, 1852, 540, 8800, 1949, 1141, 11004, 779, 10462, 538, 1082, 540, 519, 6724, 540, 519, 1062, 1373, 6417, 267, 1818, 606, 8763, 3403, 547, 3977, 1852, 3070, 585, 519, 3804, 2182, 547, 2328, 1524, 28879, 269, 901, 568, 12913, 676, 1210, 9266, 2418, 602, 2887, 12341, 1063, 476, 271, 630, 32401, 264, 543, 476, 272, 630, 25152, 1070, 11589, 10462, 538, 513, 1871, 811, 899, 519, 1259, 513, 1480, 1131, 12462, 2865, 569, 3020, 892, 610, 968, 2254, 2731, 3020, 14615, 543, 3850, 513, 513, 15454, 1858, 1063, 6898, 799, 616, 476, 1911, 260, 3020, 543, 476, 1911, 260, 7301, 269, 634, 1259, 713, 568, 12913, 568, 998, 1101, 2921, 5439, 540, 519, 3403, 4632, 593, 799, 513, 3375, 2115, 547, 581, 1759, 593, 543, 968, 14673, 3960, 4328, 892, 873, 563, 763, 2295, 540, 1022, 27967, 7954, 1062, 568, 513, 968, 14673, 21424, 1997, 894, 3965, 1848, 901, 568, 24188, 540, 513, 5119, 267, 1141, 538, 519, 2013, 540, 519, 6007, 12123, 5547, 513, 476, 274, 343, 274, 1305, 540, 2418, 8151, 1063, 476, 271, 543, 476, 272, 568, 6740, 269, 634, 2418, 538, 519, 5119, 666, 581, 10199, 2404, 609, 875, 513, 1480, 1131, 2601, 827, 1018, 519, 623, 310, 300, 3815, 9013, 519, 590, 12487, 291, 301, 8930, 540, 519, 5818, 20303, 1058, 581, 267, 4470, 593, 875, 519, 15376, 1599, 1657, 4018, 5809, 513, 2016, 1305, 540, 11378, 269, 1280, 1383, 952, 519, 8470, 3403, 6453, 568, 1164, 267, 855, 519, 1699, 1373, 6537, 883, 519, 6007, 568, 1970, 267, 621, 4440, 1797, 602, 811, 1379, 666, 581, 6537, 543, 519, 623, 310, 300, 4259, 568, 711, 6099, 543, 1058, 581, 2799, 269, 17957, 267, 952, 519, 8470, 6453, 4422, 1970, 855, 519, 29789, 568, 1869, 12394, 547, 7903, 513, 1804, 1699, 883, 519, 6007, 1379, 786, 849, 581, 24906, 267, 865, 621, 1131, 581, 1655, 547, 6175, 519, 623, 310, 300, 5365, 547, 519, 5818, 20303, 269, 4495, 519, 3403, 6786, 616, 968, 14673, 3960, 1881, 892, 883, 606, 27967, 1305, 267, 789, 2461, 16611, 676, 891, 2418, 267, 2147, 547, 519, 1259, 513, 6152, 568, 16611, 676, 513, 5119, 267, 547, 5352, 513, 9927, 1305, 799, 568, 11347, 540, 875, 8185, 519, 968, 32474, 892, 8659, 1591, 540, 519, 5119, 1058, 581, 1249, 1819, 883, 519, 3803, 4999, 1599, 563, 8794, 519, 968, 2254, 21553, 921, 7757, 2987, 14870, 617, 892, 6843, 799, 2636, 2473, 7495, 9136, 602, 2936, 2688, 10342, 1932, 7294, 547, 581, 10257, 547, 1118, 689, 519, 6006, 2679, 7161, 267, 543, 513, 2370, 20798, 16654, 595, 10030, 267, 519, 1997, 894, 3965, 267, 2597, 532, 1599, 267, 543, 834, 14673, 3960, 8595, 257, 2147, 547, 519, 7161, 4330, 538, 713, 4704, 281, 5291, 2517, 4178, 6155, 6113, 984, 2125, 2593, 11305, 653, 11721, 340, 21424, 2000, 690, 545, 2987, 2275, 270, 7277, 2412, 279, 280, 2412, 616, 3551, 547, 1118, 267, 543, 1454, 4443, 547, 4603, 609, 269, 0, 16978, 4435, 22817, 1949, 616, 519, 2165, 1031, 547, 4766, 3684, 543, 3157, 799, 616, 1500, 909, 540, 1312, 5122, 543, 7344, 3334, 269, 1452, 1949, 666, 581, 607, 2241, 607, 513, 7903, 7735, 5179, 4358, 5547, 610, 607, 1950, 607, 513, 2347, 4853, 1184, 563, 268, 25080, 12197, 7869, 454, 268, 9823, 7763, 832, 454, 268, 1306, 2106, 28942, 7763, 832, 454, 268, 5153, 16546, 454, 19859, 3887, 937, 549, 24578, 22817, 7010, 630, 300, 32209, 264, 0, 297, 3253, 568, 2462, 593, 11608, 543, 8773, 1382, 609, 930, 540, 519, 536, 1824, 1373, 6322, 2047, 693, 15908, 1235, 543, 1753, 946, 543, 1866, 1373, 3978, 681, 22936, 5867, 269, 589, 1007, 7762, 856, 540, 3567, 568, 1572, 519, 670, 14641, 268, 276, 303, 543, 713, 568, 513, 3978, 681, 22936, 8773, 602, 6663, 547, 798, 519, 1482, 4990, 540, 960, 607, 3425, 269, 634, 3804, 540, 519, 8773, 568, 547, 5372, 3425, 538, 4074, 960, 543, 538, 5906, 960, 5054, 563, 763, 1007, 8773, 6763, 476, 9264, 9492, 7381, 543, 22179, 538, 693, 476, 6200, 11899, 269, 898, 814, 10995, 2934, 899, 2825, 6482, 267, 1843, 6284, 267, 2898, 23073, 5163, 4058, 267, 1852, 2029, 267, 543, 4305, 6609, 12588, 269, 634, 3173, 3297, 519, 8773, 1589, 602, 621, 786, 581, 14323, 585, 4070, 4609, 543, 585, 7011, 1782, 3889, 899, 8484, 543, 9635, 563, 763, 7762, 814, 1079, 5232, 540, 5191, 538, 519, 8405, 267, 1614, 5232, 540, 5191, 693, 519, 22765, 267, 5216, 5232, 540, 5191, 609, 1142, 6186, 267, 3670, 5232, 540, 5191, 609, 1142, 1850, 267, 543, 476, 273, 5232, 540, 5191, 538, 1142, 1688, 269, 634, 2039, 540, 5163, 543, 4222, 540, 519, 8773, 1450, 621, 547, 6023, 1804, 3615, 899, 3044, 533, 16072, 9212, 543, 3819, 13665, 31682, 4604, 563, 12867, 723, 1500, 713, 8773, 7466, 607, 3728, 3379, 547, 3105, 8747, 7064, 547, 513, 4745, 5397, 1062, 609, 2789, 16546, 269, 476, 274, 291, 6482, 540, 519, 1604, 568, 12913, 609, 2212, 2173, 870, 539, 8596, 269, 1879, 519, 2361, 540, 2070, 568, 29572, 539, 676, 3615, 899, 588, 2931, 540, 1570, 610, 6472, 267, 519, 8773, 666, 946, 3965, 547, 6330, 606, 1858, 563, 1103, 4152, 519, 8773, 814, 1044, 2111, 547, 4020, 513, 31682, 4604, 3774, 269, 898, 729, 2111, 547, 4786, 519, 10450, 267, 10709, 593, 519, 960, 17754, 577, 547, 4584, 909, 513, 6656, 540, 3819, 13665, 267, 2539, 519, 31682, 547, 519, 3774, 267, 5431, 543, 4584, 909, 2645, 2877, 267, 543, 1287, 17684, 519, 31682, 547, 519, 3774, 269, 901, 8773, 3884, 1406, 1945, 602, 1480, 4070, 4600, 786, 5660, 267, 621, 949, 835, 1554, 2322, 873, 856, 540, 960, 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 ]

[ 2020, 5425, 14681, 273, 476, 278, 17976, 15942, 593, 7194, 543, 5506, 616, 1759, 593, 5169, 1023, 676, 7905, 13343, 28865, 780, 5425, 14681, 273, 476, 279, 11483, 14681, 273, 25043, 540, 17270, 3163, 476, 273, 17976, 476, 272, 17438, 543, 7194, 630, 272, 264, 9736, 808, 681, 654, 28865, 267, 476, 1220, 277, 282, 595, 808, 8709, 1546, 655, 614, 476, 1220, 278, 692, 5425, 14681, 273, 476, 280, 17796, 7956, 1433, 630, 30672, 540, 11271, 476, 272, 268, 277, 2567, 12708, 10803, 630, 19177, 628, 9990, 264, 667, 14371, 269, 3725, 525, 28331, 2006, 543, 8065, 476, 1220, 272, 630, 14937, 6202, 338, 267, 9625, 28462, 2764, 264, 20043, 281, 5254, 5611, 276, 19556, 7070, 5291, 2517, 4118, 338, 269, 629, 323, 333, 28482, 16896, 270, 349, 777, 23995, 5611, 276, 270, 11483, 6200, 273, 30498, 692, 5425, 14681, 273, 476, 1015, 2368, 8847, 12726, 2230, 630, 28134, 264, 5590, 540, 9988, 540, 1719, 267, 849, 1572, 2609, 713, 1305, 949, 581, 12808, 9988, 666, 581, 2168, 3615, 267, 2621, 267, 3092, 2807, 12726, 15410, 540, 519, 3732, 2230, 692, 5425, 14681, 273, 476, 1556, 2859, 8847, 24438, 606, 14487, 540, 606, 3693, 799, 814, 513, 1871, 630, 324, 3052, 1421, 922, 4463, 267, 2597, 267, 3092, 4700, 9866, 3569, 519, 1871, 540, 513, 4756, 607, 6592, 585, 513, 1880, 3693, 606, 3693, 786, 723, 4632, 609, 2418, 855, 789, 616, 711, 7422, 2394, 649, 2594, 621, 12726, 1239, 1305, 540, 7422, 6508, 689, 513, 3732, 692, 5425, 14681, 273, 476, 1321, 29149, 543, 5606, 22460, 10803, 29149, 7194, 281, 5681, 3405, 2358, 519, 3732, 1239, 630, 553, 513, 1297, 267, 8642, 1862, 264, 5606, 22460, 7194, 281, 4635, 1239, 689, 513, 3732, 547, 18505, 3601, 540, 519, 3732, 2230, 932, 846, 513, 11347, 3732, 630, 27393, 2906, 540, 3732, 6474, 1346, 540, 3732, 2230, 1107, 2352, 264, 769, 2259, 267, 946, 513, 4351, 3732, 630, 26421, 3693, 814, 519, 1482, 10171, 540, 1373, 6074, 2020, 5425, 14681, 273, 476, 1724, 24438, 2010, 19120, 5511, 281, 32633, 1400, 14727, 1538, 5566, 630, 7224, 19280, 538, 2418, 264, 552, 3052, 269, 3023, 267, 13567, 18103, 1400, 630, 17213, 539, 264, 552, 3052, 269, 1362, 540, 4110, 630, 272, 267, 476, 273, 269, 272, 267, 476, 273, 269, 273, 28011, 264, 26592, 281, 2598, 4740, 630, 12248, 762, 264, 1107, 1496, 15759, 518, 316, 552, 3052, 269, 1297, 540, 1004, 538, 513, 4055, 23120, 1107, 1496, 29602, 316, 552, 3052, 269, 4463, 692, 5425, 14681, 273, 476, 1691, 6201, 476, 272, 6993, 7606, 29281, 4567, 476, 273, 7868, 3259, 540, 513, 7131, 476, 274, 7868, 2450, 540, 513, 16445, 540, 6477, 7410, 476, 275, 7868, 2837, 538, 5232, 1298, 580, 8565, 692, 5425, 14681, 273, 476, 1428, 6201, 476, 272, 6993, 7606, 29281, 4567, 32633, 1400, 11305, 1538, 5566, 476, 273, 7868, 3259, 540, 513, 7131, 26592, 282, 6024, 610, 15768, 286, 901, 5673, 593, 875, 596, 2203, 3259, 630, 2381, 2373, 610, 11353, 264, 476, 274, 7868, 2450, 540, 513, 16445, 540, 6477, 7410, 26592, 267, 15768, 630, 604, 649, 1611, 519, 1297, 540, 14918, 264, 476, 275, 7868, 2837, 538, 5232, 1298, 580, 8565, 26592, 267, 6024, 630, 10214, 1498, 621, 1281, 711, 1118, 2631, 547, 2161, 602, 476, 736, 476, 271, 568, 7466, 607, 3636, 607, 476, 1015, 476, 271, 3738, 14272, 16694, 281, 1284, 721, 519, 2165, 2387, 16676, 6681, 319, 513, 3787, 29101, 281, 1280, 721, 513, 4756, 568, 6024, 7933, 1619, 630, 553, 10353, 547, 15768, 264, 952, 1063, 1022, 2418, 1535, 543, 586, 267, 972, 6013, 513, 3791, 1871, 1990, 780, 5425, 14681, 273, 476, 1626, 5681, 3405, 2358, 1239, 595, 1538, 5566, 630, 821, 4756, 2567, 2473, 568, 513, 28547, 4756, 609, 2418, 281, 513, 476, 272, 267, 513, 476, 273, 267, 513, 476, 274, 28011, 513, 737, 28011, 513, 918, 630, 737, 815, 476, 272, 267, 476, 273, 267, 476, 274, 28011, 918, 264, 535, 737, 815, 1297, 540, 2053, 602, 513, 737, 5526, 538, 519, 3732, 535, 737, 568, 519, 4908, 540, 513, 737, 952, 649, 723, 562, 7422, 1287, 281, 3448, 4908, 815, 4908, 1315, 562, 6871, 3448, 4908, 815, 3448, 4908, 476, 1911, 692, 5425, 14681, 273, 476, 1704, 22039, 10552, 7392, 22039, 28731, 22039, 20587, 720, 16674, 589, 476, 13975, 476, 271, 269, 4391, 476, 4391, 260, 9474, 476, 3374, 476, 271, 269, 6187, 476, 277, 260, 645, 476, 11152, 476, 271, 269, 1626, 476, 1626, 260, 744, 476, 23056, 476, 271, 269, 6078, 476, 6078, 260, 570, 582, 1023, 476, 6872, 273, 476, 272, 269, 876, 476, 1911, 260, 3732, 540, 476, 6872, 273, 2550, 630, 333, 815, 476, 6872, 273, 264, 2040, 540, 12451, 815, 562, 692, 5425, 14681, 273, 476, 1240, 4446, 15873, 692, 5425, 14681, 273, 476, 866, 5681, 3405, 2358, 1239, 595, 1538, 5566, 630, 18314, 4632, 2567, 20314, 1890, 3349, 1297, 540, 2550, 609, 1973, 1826, 589, 945, 616, 4775, 568, 476, 10482, 10552, 7392, 11557, 570, 582, 1023, 5256, 4775, 589, 476, 9083, 476, 10482, 476, 13975, 9474, 1321, 476, 2537, 476, 3374, 645, 5379, 476, 5325, 476, 11152, 744, 476, 6344, 476, 14625, 476, 23056, 570, 582, 1023, 476, 18231, 476, 29580, 476, 6872, 273, 692, 5425, 14681, 273, 476, 736, 5681, 3405, 2358, 1239, 595, 1538, 5566, 630, 18314, 4632, 2567, 20314, 1890, 3349, 1297, 540, 2550, 609, 1973, 1826, 589, 945, 616, 4775, 568, 476, 10482, 10552, 7392, 11557, 570, 582, 1023, 4939, 10552, 7392, 676, 3023, 5256, 4775, 5256, 4775, 589, 476, 9083, 476, 10482, 476, 13975, 476, 5392, 260, 476, 7906, 260, 9474, 1321, 476, 2537, 476, 3374, 476, 4097, 260, 476, 5780, 260, 645, 5379, 476, 5325, 476, 11152, 476, 2004, 260, 476, 2004, 260, 744, 476, 6344, 476, 14625, 476, 23056, 476, 7906, 260, 476, 5392, 260, 570, 582, 1023, 476, 18231, 476, 29580, 476, 6872, 273, 692, 5425, 14681, 273, 476, 2641, 4446, 15873, 692, 5425, 14681, 273, 476, 2420, 18103, 1400, 1239, 2473, 568, 606, 3921, 1400, 4756, 609, 2418, 281, 513, 476, 272, 267, 513, 476, 273, 267, 513, 476, 274, 28011, 513, 737, 28011, 513, 918, 3921, 1400, 1797, 602, 281, 513, 476, 272, 513, 476, 273, 513, 476, 274, 1862, 513, 737, 1862, 513, 918, 19469, 4908, 693, 1377, 737, 2433, 524, 737, 815, 2040, 540, 12451, 540, 2418, 1447, 982, 610, 3160, 547, 513, 737, 524, 737, 815, 535, 476, 272, 1341, 535, 476, 273, 1341, 535, 476, 274, 1341, 1862, 1341, 535, 737, 815, 630, 325, 476, 272, 1341, 535, 476, 273, 1341, 535, 476, 274, 1341, 1862, 1341, 535, 737, 268, 272, 3738, 1341, 535, 737, 815, 524, 737, 268, 272, 1341, 535, 737, 2052, 581, 4294, 547, 11050, 1239, 607, 1134, 13718, 5425, 14681, 273, 476, 2537, 595, 636, 11494, 12451, 7089, 540, 6477, 7410, 538, 513, 16445, 281, 630, 4134, 4740, 1239, 264, 524, 272, 284, 325, 272, 284, 272, 267, 524, 273, 284, 325, 272, 266, 325, 273, 284, 272, 267, 524, 274, 284, 325, 272, 266, 325, 273, 266, 325, 274, 284, 274, 267, 524, 275, 284, 325, 272, 266, 325, 273, 266, 325, 274, 266, 325, 275, 284, 277, 267, 3092, 269, 700, 7867, 2450, 22039, 284, 325, 595, 636, 269, 6154, 336, 815, 322, 476, 276, 476, 272, 476, 272, 476, 277, 476, 271, 476, 272, 476, 278, 476, 273, 476, 274, 476, 279, 476, 274, 476, 277, 476, 280, 476, 274, 476, 280, 476, 1015, 476, 280, 476, 1240, 476, 1556, 476, 279, 476, 2918, 476, 1321, 476, 276, 476, 4029, 476, 1724, 476, 274, 476, 4097, 476, 1691, 476, 273, 476, 3607, 11192, 476, 3607, 524, 918, 815, 562, 692, 5425, 14681, 273, 476, 2190, 18140, 1154, 4908, 19469, 4908, 692, 5425, 14681, 273, 476, 1839, 23120, 1239, 589, 1259, 547, 3489, 15768, 2338, 689, 6024, 1239, 281, 19147, 2039, 540, 7422, 883, 1875, 27492, 331, 6260, 11996, 630, 321, 1231, 264, 4032, 1297, 540, 7422, 538, 1142, 10822, 2037, 10405, 5834, 1239, 538, 476, 1789, 7422, 281, 476, 13199, 476, 1839, 476, 10695, 476, 8099, 476, 2568, 476, 6200, 476, 4817, 476, 10037, 476, 11277, 476, 6858, 476, 13647, 476, 4281, 476, 5952, 476, 13970, 476, 1911, 476, 3583, 476, 11152, 476, 14093, 476, 15686, 476, 6872, 476, 5038, 476, 14681, 476, 4366, 476, 10844, 476, 7830, 476, 10441, 476, 16928, 1001, 476, 6924, 476, 4817, 16186, 281, 476, 1839, 547, 476, 1001, 1280, 1383, 267, 596, 666, 946, 476, 1015, 25510, 540, 8700, 476, 736, 1384, 5425, 14681, 273, 476, 2918, 2037, 10405, 9830, 24517, 1674, 6154, 336, 269, 4039, 12171, 516, 336, 269, 4939, 595, 636, 269, 4039, 269, 6154, 336, 269, 476, 866, 269, 276, 524, 2999, 476, 4375, 269, 276, 476, 272, 476, 271, 269, 30033, 476, 274, 269, 274, 260, 476, 4375, 269, 276, 524, 2999, 476, 6795, 269, 276, 476, 273, 476, 271, 269, 6187, 278, 476, 1015, 269, 271, 260, 476, 6795, 269, 276, 524, 2999, 476, 8064, 269, 276, 476, 278, 476, 271, 269, 22001, 476, 3451, 269, 274, 260, 476, 8064, 269, 276, 524, 2999, 476, 4200, 269, 276, 476, 278, 476, 271, 269, 22001, 476, 6321, 269, 277, 260, 476, 4200, 269, 276, 524, 2999, 476, 15686, 269, 276, 476, 3583, 269, 22001, 476, 8064, 269, 280, 260, 476, 15686, 269, 276, 524, 2999, 476, 16928, 269, 276, 476, 274, 476, 271, 269, 1911, 476, 8660, 269, 280, 260, 476, 16928, 269, 276, 524, 2999, 476, 14689, 269, 276, 476, 273, 476, 271, 269, 6187, 278, 476, 9834, 269, 277, 260, 476, 14689, 269, 276, 524, 2999, 476, 9692, 269, 276, 476, 271, 476, 271, 269, 1822, 476, 9834, 269, 277, 260, 476, 9692, 269, 276, 524, 2999, 476, 1960, 269, 276, 476, 271, 476, 271, 269, 1822, 476, 9834, 269, 277, 260, 476, 1960, 269, 276, 524, 2999, 476, 25546, 269, 276, 476, 272, 476, 271, 269, 30033, 1911, 269, 271, 260, 570, 582, 1023, 476, 1789, 476, 272, 269, 1822, 692, 5425, 14681, 273, 476, 2767, 595, 636, 11494, 27008, 692, 12606, 533, 696, 834, 5425, 14681, 273, 476, 272, 11483, 14681, 273, 25043, 540, 17270, 3163, 476, 273, 630, 31628, 3749, 851, 264, 3223, 525, 8709, 1546, 655, 614, 17438, 543, 7194, 1160, 6570, 531, 20603, 16504, 1305, 3069, 3010, 13436, 14245, 692, 288, 1091, 676, 5616, 0, 258, 1215, 798, 596, 4194, 476, 279, 333, 266, 1626, 269, 273, 284, 272, 269, 277, 2496, 12914, 476, 736, 267, 476, 1001, 277, 692, 259, 333, 815, 910, 476, 272, 269, 279, 1839, 6911, 2971, 19247, 1384, 7445, 3667, 346, 326, 1508, 2433, 7684, 476, 279, 562, 1341, 476, 1626, 269, 273, 815, 476, 272, 269, 277, 6911, 259, 279, 562, 815, 476, 272, 269, 277, 910, 476, 1626, 269, 273, 6911, 259, 279, 562, 815, 910, 476, 1691, 269, 277, 6911, 7445, 2765, 3189, 322, 30327, 346, 279, 348, 562, 7346, 322, 30327, 346, 279, 3686, 815, 910, 1422, 2765, 346, 1691, 269, 277, 2410, 279, 10592, 259, 333, 815, 910, 1422, 2765, 346, 278, 269, 274, 2410, 275, 10592, 259, 333, 815, 910, 476, 272, 269, 279, 1839, 259, 0, 763, 8061, 2747, 540, 3624, 10934, 607, 513, 22953, 9046, 692, 273, 3502, 566, 692, 2171, 991, 547, 1265, 856, 1079, 3252, 267, 535, 343, 3287, 11971, 264, 543, 535, 344, 3287, 11971, 1070, 547, 4766, 519, 11539, 269, 1535, 543, 586, 616, 519, 3020, 29978, 543, 20173, 6606, 269, 535, 343, 3287, 11971, 264, 543, 535, 344, 3287, 11971, 264, 616, 519, 11539, 18232, 693, 1448, 630, 343, 11971, 1040, 769, 824, 1913, 267, 952, 630, 343, 11971, 264, 568, 519, 3020, 11282, 267, 1287, 630, 343, 1341, 535, 343, 3287, 11971, 1070, 344, 1341, 535, 344, 3287, 11971, 4297, 568, 519, 1821, 7007, 11282, 269, 4595, 1923, 325, 343, 3287, 1341, 546, 11971, 264, 910, 325, 343, 3287, 11971, 31206, 568, 1454, 4130, 982, 546, 630, 663, 1482, 585, 586, 264, 649, 666, 849, 946, 519, 1079, 3252, 547, 5173, 519, 3020, 11282, 689, 513, 1821, 7007, 11282, 269, 2913, 630, 343, 11971, 264, 581, 519, 1821, 7007, 11282, 267, 630, 343, 910, 535, 343, 3287, 11971, 1070, 344, 910, 535, 344, 3287, 11971, 4297, 568, 519, 3020, 11282, 780, 1103, 519, 1739, 2079, 267, 649, 786, 946, 12354, 1511, 269, 2353, 519, 1239, 1031, 538, 519, 2079 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 16387, 570, 12781, 692, 27094, 1818, 1957, 27858, 267, 8126, 1090, 13410, 267, 543, 1976, 9564, 286, 16387, 568, 519, 2979, 3297, 873, 782, 269, 4841, 2253, 1565, 827, 9511, 950, 789, 616, 6026, 1114, 5546, 543, 7285, 543, 875, 547, 1711, 1007, 3615, 689, 873, 269, 1358, 616, 1869, 5461, 1256, 950, 621, 568, 942, 547, 1451, 875, 547, 3313, 875, 1454, 1216, 621, 786, 1491, 547, 6445, 519, 19943, 610, 5862, 789, 786, 991, 547, 5862, 519, 2777, 267, 855, 950, 1053, 1205, 883, 5376, 916, 543, 2022, 12885, 267, 519, 1187, 609, 9511, 6238, 547, 28201, 269, 16301, 899, 5409, 26382, 267, 598, 673, 267, 543, 14248, 18967, 673, 6494, 1082, 2875, 2786, 547, 11784, 7154, 543, 789, 6560, 538, 741, 5049, 269, 15775, 519, 948, 540, 513, 9511, 20131, 666, 1683, 519, 2875, 609, 606, 1620, 789, 949, 4413, 538, 519, 4928, 780, 1432, 568, 621, 2496, 292, 16090, 22470, 270, 5522, 2033, 16387, 568, 519, 1353, 540, 6366, 2230, 269, 9737, 1169, 6292, 540, 2798, 972, 568, 513, 2189, 1899, 10126, 799, 568, 519, 20125, 7455, 1063, 1346, 1079, 2798, 269, 1452, 1899, 12415, 666, 581, 6905, 547, 3515, 269, 20514, 616, 28222, 1279, 538, 1312, 8846, 543, 585, 1169, 6292, 540, 2798, 593, 519, 1899, 519, 10126, 540, 519, 1899, 1063, 873, 568, 519, 20125, 7455, 602, 666, 581, 6537, 1063, 873, 269, 2353, 540, 891, 2093, 666, 581, 4330, 676, 5373, 593, 513, 6366, 4062, 540, 1957, 269, 3245, 519, 4031, 540, 28070, 16387, 267, 649, 1205, 519, 4583, 25355, 14497, 780, 15239, 7232, 16090, 22470, 16387, 568, 1022, 9511, 602, 568, 1114, 689, 28070, 9511, 269, 898, 568, 513, 5812, 1062, 540, 8847, 267, 10054, 267, 543, 15997, 602, 4766, 971, 3615, 607, 2798, 267, 3515, 543, 14742, 269, 634, 1079, 1034, 1455, 1875, 7232, 16090, 22470, 22762, 1845, 616, 20085, 9511, 543, 5409, 26382, 9511, 269, 634, 1898, 3017, 1063, 28070, 9511, 543, 891, 1079, 1875, 7232, 16090, 22470, 22762, 1845, 568, 519, 2470, 540, 6252, 3515, 281, 769, 28070, 9511, 267, 2016, 513, 1448, 543, 513, 1899, 267, 972, 568, 4010, 835, 1899, 998, 519, 1448, 602, 568, 538, 519, 1482, 7077, 607, 519, 2016, 1899, 543, 2760, 12969, 338, 621, 269, 769, 20085, 9511, 972, 616, 1100, 971, 3515, 269, 769, 5409, 26382, 9511, 972, 616, 693, 2547, 1079, 3982, 3515, 602, 1780, 998, 519, 1448, 543, 616, 6252, 547, 630, 514, 519, 1482, 7077, 607, 543, 798, 711, 12969, 264, 519, 2016, 1899, 780, 305, 22044, 2335, 1014, 16387, 568, 519, 1353, 540, 17208, 7252, 543, 2362, 21021, 5624, 269, 1280, 1383, 267, 596, 1522, 723, 513, 12718, 267, 610, 513, 12106, 543, 707, 3804, 568, 547, 1265, 519, 20125, 7455, 1063, 1022, 6292, 540, 2798, 593, 971, 513, 17208, 2627, 267, 849, 1634, 607, 513, 8766, 2520, 3941, 545, 269, 2107, 596, 949, 1413, 693, 519, 7122, 607, 513, 1614, 21021, 2230, 543, 3801, 547, 1265, 519, 3845, 1063, 270, 19925, 1896, 10785, 780, 2171, 1118, 4466, 513, 11727, 543, 4810, 9511, 20131, 2653, 269, 6787, 596, 616, 538, 991, 540, 513, 2370, 3063, 948, 610, 2576, 945, 666, 4001, 519, 1641, 689, 15072, 267, 17849, 513, 3318, 20131, 666, 1118, 513, 10565, 1764, 593, 513, 2875, 779, 2773, 269, 5272, 9511, 20131, 649, 1683, 814, 513, 2852, 4110, 538, 6128, 267, 2257, 267, 610, 513, 1644, 2361, 540, 1353, 267, 899, 4702, 269, 3776, 3804, 568, 547, 1683, 513, 9511, 20131, 602, 666, 1118, 1620, 519, 2035, 2241, 543, 3551, 269, 1284, 616, 865, 8746, 538, 938, 9511, 21493, 602, 596, 666, 2743, 609, 873, 585, 1863, 269, 3807, 2307, 707, 23468, 4717, 13541, 827, 938, 20821, 543, 13983, 564, 1982, 780, 1012, 16504, 570, 12781, 692, 763, 2596, 1565, 7161, 540, 1169, 1126, 781, 2069, 616, 3710, 538, 10026, 1153, 269, 898, 568, 1934, 602, 513, 1272, 1279, 2648, 585, 1565, 568, 27838, 269, 634, 4909, 2542, 267, 1603, 267, 543, 2979, 1983, 616, 5189, 547, 707, 1126, 585, 519, 1101, 942, 538, 10026, 1153, 269, 769, 1931, 547, 581, 3811, 267, 10026, 1053, 991, 547, 4487, 2596, 6947, 543, 1353, 1983, 269, 16504, 1153, 1058, 581, 513, 2318, 267, 14637, 1604, 1141, 1453, 616, 5189, 547, 1565, 780, 1012, 570, 1075, 5459, 570, 12781, 692, 307, 1075, 5459, 267, 589, 313, 568, 1753, 547, 7366, 540, 938, 5863, 21493, 269, 3245, 2038, 2069, 3610, 547, 20485, 693, 519, 2160, 540, 14151, 267, 11628, 22996, 2488, 513, 20131, 602, 786, 2743, 596, 543, 5924, 707, 2875, 779, 1367, 2115, 269, 19612, 585, 922, 1630, 4040, 1164, 24289, 6080, 267, 570, 1075, 5459, 568, 513, 2725, 17433, 585, 1007, 4213, 269, 1306, 519, 2749, 5170, 547, 8853, 543, 1332, 267, 938, 21493, 786, 581, 2139, 950, 596, 991, 873, 519, 1034, 269, 3245, 519, 18280, 2088, 674, 26743, 1571, 547, 519, 32202, 7035, 320, 15142, 267, 938, 21493, 786, 2951, 547, 782, 2694, 540, 570, 1075, 5459, 547, 1683, 938, 14167, 23468, 2533, 780, 1012, 3776, 15397, 1681, 6796, 692, 9336, 11628, 22996, 20131, 568, 513, 3810, 11727, 267, 2852, 1673, 1122, 7517, 267, 4810, 267, 543, 4628, 9516, 19829, 269, 1411, 666, 1745, 5150, 6616, 602, 1142, 20131, 814, 1044, 8499, 840, 1606, 920, 2989, 543, 9516, 269, 1284, 723, 22608, 4170, 585, 782, 540, 938, 21493, 269, 1284, 2154, 513, 3084, 4282, 2638, 267, 513, 2123, 5967, 267, 543, 1312, 2123, 543, 3318, 8100, 540, 1142, 32358, 269, 1284, 2824, 1152, 519, 1360, 1655, 21493, 585, 938, 7218, 547, 3442, 689, 269, 2659, 10531, 1592, 540, 20083, 21493, 786, 1331, 4648, 4481, 14018, 547, 707, 1126, 779, 1699, 4081, 2115, 269, 634, 10080, 540, 938, 21493, 616, 9867, 543, 741, 1995, 3309, 267, 855, 519, 1455, 3815, 568, 519, 6612, 585, 1565, 543, 2069, 602, 789, 782, 2671, 269, 1306, 938, 7817, 267, 596, 723, 519, 4316, 547, 2689, 543, 3717, 609, 607, 1082, 21493, 607, 596, 6999, 2394, 596, 1265, 519, 1318, 6474, 585, 707, 2875, 780, 1012, 29464, 670, 692, 2162, 9752, 13910, 692, 763, 3450, 2511, 594, 946, 568, 4625, 8200, 593, 519, 1880, 2875, 1373, 6026, 269, 594, 6415, 513, 2462, 10178, 540, 519, 740, 720, 1412, 24876, 513, 812, 513, 3165, 267, 543, 646, 786, 3548, 585, 513, 1554, 269, 17546, 513, 812, 547, 3165, 267, 543, 646, 786, 3548, 585, 519, 1964, 540, 1010, 1272, 8339, 3733, 6662, 568, 547, 4001, 513, 1126, 711, 1152, 519, 1570, 267, 855, 875, 789, 1655, 1451, 865, 602, 789, 666, 4001, 2933, 269, 594, 2972, 1210, 10858, 8100, 602, 616, 4143, 547, 519, 1126, 865, 602, 789, 786, 811, 3362, 9787, 519, 2035, 269, 594, 3494, 513, 10531, 1935, 1568, 1655, 780, 2162, 15232, 12834, 692, 296, 723, 12236, 513, 20277, 781, 4110, 538, 8950, 7177, 609, 513, 3301, 1445, 2059, 609, 513, 19833, 7177, 5634, 269, 594, 729, 476, 274, 5491, 3108, 2476, 689, 1312, 1250, 4569, 543, 6355, 1295, 832, 269, 769, 519, 2063, 476, 276, 1296, 267, 594, 723, 4691, 1819, 1053, 538, 9978, 4569, 267, 10789, 476, 272, 543, 476, 273, 267, 16387, 267, 20145, 267, 10439, 9978, 267, 8212, 267, 543, 27018, 12307, 269, 594, 723, 6026, 2979, 585, 519, 2250, 476, 275, 1296, 693, 519, 12333, 6298, 12562, 13804, 564, 693, 700, 21865, 4400, 3427, 538, 519, 5396, 540, 10789, 594, 267, 10789, 594, 12968, 832, 267, 16387, 267, 16387, 12968, 832, 267, 10789, 4083, 267, 10789, 4083, 12968, 832, 267, 10803, 267, 9119, 585, 5441, 3367, 1465, 267, 543, 27565, 8551, 4569, 780, 2162, 28946, 1113, 338, 692, 13911, 13595, 9129, 4240, 268, 3528, 5426, 5729, 454, 8448, 9119, 12333, 6298, 12562, 13804, 564, 476, 280, 268, 1321, 476, 1220, 278, 268, 9690, 454, 8448, 570, 12460, 10060, 651, 5783, 540, 2696, 676, 18321, 476, 280, 268, 1321, 476, 1220, 276, 268, 1220, 278, 454, 291, 12801, 8950, 7177, 2160, 540, 8419, 22601, 476, 1220, 275, 692, 1012, 3967, 564, 808, 692, 2162, 9752, 13910, 692, 296, 2972, 3450, 282, 621, 568, 1250, 1655, 13007, 269, 594, 1174, 602, 2979, 568, 711, 513, 834, 325, 2948, 924, 1641, 257, 547, 513, 2603, 540, 1053, 269, 11554, 835, 593, 835, 538, 513, 23468, 3510, 4991, 2250, 519, 2942, 3625, 1053, 723, 538, 513, 2979, 4928, 269, 11153, 540, 1250, 4357, 1053, 723, 5249, 609, 803, 585, 1896, 1296, 269, 4256, 3237, 1767, 602, 789, 5433, 811, 8746, 538, 519, 1362, 4055, 543, 538, 4152, 3871, 1317, 540, 741, 960, 609, 803, 269, 769, 1840, 547, 23468, 538, 2757, 1153, 2979, 5396, 267, 594, 723, 849, 5249, 609, 1896, 1053, 593, 13662, 2969, 543, 20389, 7041, 269, 2353, 540, 891, 1053, 6913, 513, 2362, 6060, 593, 891, 4255, 1310, 2324, 609, 803, 835, 593, 835, 780, 2162, 15232, 12834, 692, 296, 6026, 476, 4097, 1296, 609, 519, 2871, 559, 5112, 6019, 3427, 3590, 267, 538, 13983, 839, 4011, 334, 267, 12135, 269, 594, 19622, 538, 4873, 476, 1220, 278, 267, 543, 729, 4280, 547, 6445, 476, 273, 954, 574, 7158, 538, 519, 11354, 543, 12096, 5033, 22246, 540, 476, 1220, 279, 269, 594, 6026, 782, 6030, 689, 2489, 2979, 998, 12968, 832, 2776, 23343, 1529, 639, 269, 594, 723, 1044, 27352, 23468, 693, 1753, 585, 519, 2063, 476, 278, 610, 476, 279, 1296, 267, 547, 7110, 1250, 4747, 780, 2162, 28946, 1113, 338, 692, 13911, 13595, 9129, 4240, 268, 3528, 5426, 5729, 454, 291, 12801, 18520, 9119, 2160, 540, 12135, 8566, 516, 839, 4011, 334, 29172, 476, 3192, 273, 692, 1012, 16907, 529, 645, 692, 2162, 9752, 13910, 692, 296, 3494, 602, 17284, 538, 3450, 2501, 689, 519, 4116, 781, 9542, 547, 2875, 781, 1808, 2115, 269, 769, 1880, 267, 585, 930, 1053, 267, 14839, 949, 581, 519, 1898, 5057, 585, 873, 547, 1174, 513, 1978, 1523, 610, 606, 2856, 538, 6128, 267, 543, 676, 7677, 5109, 1806, 543, 1585, 15997, 609, 5961, 6087, 519, 2875, 547, 1451, 519, 1523, 267, 6466, 585, 824, 1053, 621, 949, 581, 519, 15821, 3830, 602, 2636, 873, 547, 1294, 513, 1978, 2856, 269, 769, 519, 1101, 7008, 540, 7886, 267, 594, 16785, 585, 519, 1808, 2115, 540, 519, 2875, 543, 1287, 993, 2111, 547, 1921, 609, 602, 2875, 865, 602, 646, 24172, 7959, 6899, 609, 519, 1641, 269, 594, 993, 513, 3461, 4116, 543, 3494, 602, 782, 1053, 616, 2111, 547, 9787, 519, 1641, 269, 594, 4001, 538, 513, 5676, 1441, 6073, 267, 865, 602, 519, 1888, 4843, 568, 17396, 543, 5205, 513, 9266, 2095, 269, 594, 1118, 2386, 602, 519, 7811, 2035, 616, 4835, 1242, 538, 513, 6405, 1383, 585, 519, 2875, 269, 26361, 782, 267, 594, 4163, 513, 2318, 29916, 16382, 594, 979, 543, 5000, 1053, 547, 2972, 2979, 780, 2162, 15232, 12834, 692, 296, 993, 513, 10927, 540, 12821, 24728, 267, 609, 513, 4569, 543, 10017, 22601, 5232, 269, 31035, 689, 1250, 1079, 32407, 594, 723, 1295, 832, 538, 13898, 543, 15465, 3163, 269, 4438, 1250, 1296, 540, 1164, 1153, 543, 2852, 267, 594, 723, 4691, 1819, 1053, 538, 9119, 4534, 581, 621, 538, 11810, 610, 7194, 267, 610, 519, 2979, 6712, 540, 519, 20389, 269, 2311, 519, 4090, 594, 960, 851, 6066, 693, 519, 11114, 1310, 1153, 1982, 267, 1572, 20707, 2131, 14623, 3013, 5549, 1421, 607, 513, 2979, 14357, 585, 1312, 1164, 1153, 543, 1647, 1153, 269, 594, 723, 15548, 538, 1585, 19556, 14847, 1431, 267, 543, 723, 4465, 3875, 17758, 267, 1519, 519, 9835, 15356, 12736, 1676, 538, 2475, 4456, 4811, 630, 18197, 2276, 19556, 13669, 550, 9612, 6393, 2162, 28946, 1113, 338, 692, 13911, 13595, 9129, 4240, 268, 3528, 5426, 5729, 454, 291, 12801, 11930, 9119, 12821, 24728, 645, 659, 3559, 832, 476, 1220, 275, 454, 291, 12801, 10017, 12821, 24728, 22601, 476, 1220, 275, 692, 1012, 15550, 617, 966, 692, 2162, 9752, 13910, 692, 763, 22294, 540, 1250, 3450, 6138, 543, 2123, 3450, 3853, 568, 547, 948, 1053, 1020, 741, 1378, 3206, 1983, 269, 594, 3494, 782, 1053, 1058, 4734, 519, 1153, 11439, 609, 519, 2702, 547, 1589, 585, 873, 30441, 267, 547, 1589, 9691, 543, 547, 1589, 21176, 269, 4197, 875, 1004, 1451, 568, 835, 540, 519, 1713, 3344, 540, 3450, 269, 901, 568, 5532, 547, 741, 968, 32474, 892, 4282, 543, 15657, 269, 634, 1883, 547, 3450, 568, 547, 9305, 547, 519, 5304, 676, 4358, 689, 1018, 789, 917, 543, 2679, 2390, 621, 269, 1306 ]

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

[ 1144, 9166, 27030, 2018, 1582, 8807, 578, 731, 4590, 2018, 1582, 6155, 1144, 4590, 13872, 1038, 8640, 1463, 2652, 1412, 325, 578, 731, 5091, 1144, 318, 3847, 12466, 2018, 1582, 8807, 578, 731, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 325, 578, 731, 5091, 1144, 318, 2431, 12466, 2018, 1582, 8807, 578, 731, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16192, 3890, 4449, 454, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 12466, 2018, 1582, 269, 3724, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 3847, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 2431, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 16192, 3890, 27030, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 1575, 9166, 27030, 2018, 1582, 269, 3724, 4590, 2018, 1582, 269, 1575, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 1575, 318, 3847, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 269, 1575, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 318, 1575, 318, 2431, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 269, 1575, 4590, 2018, 1582, 16192, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 5091, 1144, 9166, 27030, 2018, 1582, 269, 3724, 4590, 2018, 1582, 6155, 1144, 3890, 13872, 13872, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 5091, 1144, 318, 3847, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 3724, 1189, 5091, 1144, 318, 2431, 12466, 2018, 1582, 269, 3724, 4590, 2018, 1582, 6155, 1144, 4590, 2018, 1582, 16192, 4590, 4449, 27030, 1038, 8640, 1463, 2652, 1412, 318, 3847, 9166, 4449, 8931, 2018, 1582, 16000, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 318, 1575, 318, 3847, 12466, 2018, 1582, 16000, 4590, 2018, 1582, 269, 1575, 4590, 4449, 8931, 1038, 8640, 1463, 2652, 1412, 318, 6658, 318, 3847, 12466, 2018, 1582, 16000, 4590, 2018, 1582, 6155, 1144, 4590, 4449, 454, 1038, 8640, 1463, 2652, 1412, 318, 2431, 12466, 2018, 1582, 16192, 4590, 27030, 1038, 8640, 1463, 2652, 1412, 318, 1575, 318, 2431, 12466, 2018, 1582, 16192, 4590, 2018, 1582, 269, 1575, 3890, 14030, 672, 692, 1038, 8640, 1463, 2652, 1412, 318, 6658, 318, 2431, 12466, 2018, 1582, 16192, 4590, 2018, 1582, 6155, 1144, 3890, 11434, 692, 1038, 8640, 1463, 2652, 1412, 318, 1575, 12466, 2018, 1582, 269, 1575, 3890, 14030, 672, 692, 1038, 8640, 1463, 2652, 1412, 318, 6658, 9166, 27030, 2018, 1582, 6155, 1144, 3890, 4449, 13376, 454, 4449, 8931, 1038, 3116, 912, 2018, 2132, 8771, 28329, 1038, 2132, 6936, 22562, 8931, 825, 1219, 535, 578, 731, 4311, 2187, 1038, 5727, 1372, 920, 848, 586, 540, 476, 272, 12163, 1038, 1582, 13885, 815, 1582, 13885, 1341, 476, 272, 692, 825, 1219, 1394, 4311, 2187, 1038, 5727, 27463, 848, 586, 540, 476, 272, 12163, 1038, 1582, 13885, 815, 1582, 13885, 910, 476, 272, 692, 825, 1219, 2451, 4311, 2187, 1038, 5727, 1372, 920, 848, 1535, 540, 476, 272, 12163, 1038, 1582, 11859, 815, 1582, 11859, 910, 476, 272, 692, 825, 1219, 1318, 4311, 2187, 1038, 5727, 27463, 848, 1535, 540, 476, 272, 12163, 1038, 1582, 11859, 815, 1582, 11859, 1341, 476, 272, 454, 3097, 825, 1219, 909, 4311, 2187, 1038, 5727, 27463, 848, 1990, 540, 476, 272, 12163, 1038, 1582, 269, 345, 815, 1582, 269, 345, 1341, 476, 272, 692, 825, 1219, 1524, 4311, 2187, 1038, 5727, 1372, 920, 848, 586, 2073, 540, 476, 272, 12163, 1038, 1582, 269, 345, 815, 1582, 269, 345, 910, 476, 272, 692, 825, 1219, 26134, 4311, 2187, 1038, 5727, 2132, 513, 804, 821, 8173, 1038, 2132, 3213, 15453, 4311, 11859, 267, 1582, 13885, 267, 1582, 269, 345, 994, 8931, 825, 1219, 3845, 4311, 267, 4717, 17107, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 5727, 8873, 6207, 3845, 689, 1071, 3581, 815, 6912, 263, 630, 343, 910, 1535, 8203, 273, 1341, 630, 339, 910, 586, 8203, 273, 1341, 630, 345, 22271, 8203, 273, 4297, 18851, 13872, 1038, 2132, 630, 630, 1345, 11859, 910, 4717, 11859, 264, 2878, 476, 273, 1341, 630, 1345, 13885, 910, 4717, 13885, 264, 2878, 476, 273, 1341, 630, 1345, 269, 345, 910, 4717, 269, 345, 264, 2878, 476, 273, 3738, 2878, 476, 271, 269, 276, 692, 8931, 825, 1219, 3845, 13448, 4311, 267, 4717, 2187, 1038, 5727, 2132, 3448, 3845, 689, 1535, 18851, 1363, 692, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 2132, 1582, 11859, 910, 4717, 11859, 22562, 825, 1219, 3845, 14729, 4311, 267, 4717, 2187, 1038, 5727, 2132, 3448, 3845, 689, 586, 20701, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 2132, 1582, 13885, 910, 4717, 13885, 22562, 825, 1219, 3845, 318, 345, 4311, 267, 4717, 2187, 1038, 5727, 2132, 3448, 3845, 689, 1990, 20701, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 2132, 1582, 269, 345, 910, 4717, 269, 345, 22562, 825, 1219, 568, 5334, 877, 4311, 267, 4717, 2187, 1038, 5727, 8873, 3020, 952, 4717, 568, 1582, 20701, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 952, 4717, 2652, 1582, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 22562, 825, 1219, 568, 318, 1122, 783, 4311, 267, 4717, 2187, 1038, 5727, 8873, 3020, 952, 4717, 723, 1482, 1535, 11971, 267, 345, 540, 1582, 12163, 13872, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 2187, 2018, 2132, 8771, 692, 1038, 952, 4717, 11859, 2652, 1582, 11859, 543, 4717, 269, 345, 2652, 1582, 269, 345, 543, 4717, 269, 345, 2652, 1582, 269, 345, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 27030, 8931, 8931, 825, 1219, 568, 18425, 318, 9792, 4311, 267, 4717, 267, 1253, 2187, 1038, 5727, 8873, 3020, 952, 4717, 3845, 689, 1582, 568, 552, 1872, 783, 610, 1447, 540, 1253, 12163, 13872, 1038, 952, 711, 4717, 610, 711, 568, 27349, 263, 1723, 867, 267, 3213, 15453, 264, 610, 711, 1253, 610, 711, 630, 568, 27349, 5560, 626, 267, 703, 264, 610, 568, 27349, 5560, 626, 267, 10581, 264, 476, 2187, 2018, 2132, 8771, 8528, 1038, 952, 4717, 6155, 2700, 4311, 264, 10922, 2612, 5560, 626, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 8931, 8931, 825, 1219, 538, 318, 3916, 1080, 4311, 267, 7182, 2187, 1038, 5727, 8873, 476, 273, 291, 5025, 337, 2001, 609, 1533, 540, 1351, 5142, 8826, 11282, 912, 1038, 7182, 815, 1496, 1496, 343, 15902, 267, 586, 28804, 267, 1990, 28804, 3910, 1496, 343, 2173, 1314, 267, 586, 26174, 267, 1990, 26174, 316, 476, 6540, 1038, 8173, 1038, 952, 711, 7182, 610, 711, 568, 27349, 263, 3916, 1080, 267, 1592, 264, 610, 711, 568, 27349, 263, 7182, 314, 271, 6012, 271, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 271, 6012, 272, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 271, 6012, 273, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 272, 6012, 271, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 272, 6012, 272, 3910, 703, 264, 610, 711, 568, 27349, 263, 7182, 314, 272, 6012, 273, 3910, 703, 2187, 2018, 2132, 8771, 692, 1038, 856, 318, 3916, 527, 815, 1496, 1496, 16178, 267, 8771, 267, 8771, 3910, 1496, 16178, 267, 8771, 267, 8771, 316, 23378, 1038, 1267, 815, 6936, 692, 1038, 952, 1582, 11859, 3436, 7182, 314, 272, 6012, 271, 14158, 2018, 856, 318, 3916, 527, 314, 272, 6012, 271, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 13885, 3436, 7182, 314, 272, 6012, 272, 14158, 2018, 856, 318, 3916, 527, 314, 272, 6012, 272, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 269, 345, 3436, 7182, 314, 272, 6012, 273, 14158, 2018, 856, 318, 3916, 527, 314, 272, 6012, 273, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 692, 1038, 952, 1582, 11859, 2999, 7182, 314, 271, 6012, 271, 14158, 2018, 856, 318, 3916, 527, 314, 271, 6012, 271, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 13885, 2999, 7182, 314, 271, 6012, 272, 14158, 2018, 856, 318, 3916, 527, 314, 271, 6012, 272, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 28329, 1038, 952, 1582, 269, 345, 2999, 7182, 314, 271, 6012, 273, 14158, 2018, 856, 318, 3916, 527, 314, 271, 6012, 273, 316, 815, 6936, 454, 2018, 1267, 815, 8771, 454, 4449, 454, 1038, 2132, 1267, 267, 856, 318, 3916, 527, 22562, 8931, 825, 1219, 547, 23952, 4311, 2187, 8931, 1038, 2132, 1193, 4311, 11859, 264, 1341, 1412, 10086, 266, 1193, 4311, 13885, 264, 1341, 1412, 10086, 1341, 1193, 4311, 269, 345, 9239, 825, 1219, 1205, 27306, 4311, 2187, 1038, 5727, 27987, 630, 343, 267, 586, 267, 1990, 264, 24042, 12163, 1038, 2132, 24042, 4311, 10947, 303, 3789, 15405, 8931, 825, 1219, 1205, 303, 3789, 4311, 2187, 1038, 5727, 27987, 630, 343, 267, 586, 267, 1990, 264, 1592, 12163, 1038, 2132, 630, 1345, 11859, 267, 1582, 13885, 267, 1582, 269, 345, 2020, 825, 1219, 1305, 303, 3789, 4311, 267, 1064, 2187, 1038, 5727, 13729, 1535, 11971, 267, 345, 20701, 1038, 952, 711, 1064, 610, 711, 568, 27349, 263, 1842, 267, 24042, 3738, 610, 7003, 263, 1842, 264, 11203, 476, 274, 610, 711, 568, 27349, 263, 1842, 314, 271, 3910, 703, 264, 610, 711, 568, 27349, 263, 1842, 314, 272, 3910, 703, 264, 610, 711, 568, 27349, 263, 1842, 314, 273, 3910, 703, 2187, 2018, 2132, 8771, 28329, 1038, 1582, 11859, 815, 1064, 314, 271, 2639, 1038, 1582, 13885, 815, 1064, 314, 272, 2639, 1038, 1582, 269, 345, 815, 1064, 314, 273, 6540, 1038, 2132, 8771, 692, 672, 0, 5035, 7435, 1384, 825, 1948, 8073, 513, 1688, 609, 606, 8900, 1592, 540, 6486, 543, 519, 2016, 1688, 1297, 563, 825, 1948, 7435, 1297, 666, 2901, 581, 476, 272, 610, 476, 273, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 1688, 5332, 334, 2187, 1038, 952, 1688, 5332, 334, 3436, 476, 273, 610, 1688, 5332, 334, 2999, 476, 272, 912, 2018, 6318, 28759, 3488, 21652, 1100, 666, 2901, 581, 476, 272, 610, 476, 273, 5073, 1038, 1582, 11519, 11568, 815, 11713, 1038, 1582, 11519, 8518, 5332, 334, 815, 1688, 5332, 334, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 6486, 4311, 2187, 1038, 2132, 1582, 11519, 11568, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1688, 5332, 334, 4311, 2187, 1038, 2132, 1582, 11519, 8518, 5332, 334, 692, 825, 1219, 1039, 6831, 731, 4311, 267, 3556, 2187, 1038, 1582, 6983, 1841, 6910, 6262, 731, 2020, 825, 1219, 1039, 6831, 1841, 4311, 267, 6486, 2187, 1038, 585, 3556, 538, 6486, 912, 2018, 1582, 6983, 1841, 6910, 6262, 731, 2020, 825, 1219, 4894, 6831, 731, 4311, 267, 3556, 2187, 1038, 952, 3556, 538, 1582, 6983, 1841, 912, 2018, 1582, 6983, 1841, 31927, 6262, 731, 9239, 5035, 6215, 582, 1384, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 11519, 335, 272, 318, 2452, 539, 815, 11713, 1038, 1582, 11519, 335, 273, 318, 2452, 539, 815, 11713, 1038, 1582, 11519, 7773, 1676, 815, 476, 271, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 533, 272, 318, 2452, 539, 4311, 2187, 1038, 2132, 1582, 11519, 335, 272, 318, 2452, 539, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 533, 273, 318, 2452, 539, 4311, 2187, 1038, 2132, 1582, 11519, 335, 273, 318, 2452, 539, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 16771, 4311, 2187, 1038, 2132, 1582, 11519, 7773, 1676, 692, 825, 1948, 5410, 2016, 3556, 547, 18921, 593, 2016, 1688, 781, 2427, 952, 519, 3556, 12851, 547, 454, 825, 1948, 602, 1688, 563, 825, 1948, 14780, 1047, 28759, 952, 519, 3556, 1281, 711, 4866, 547, 519, 2016, 1688, 563, 825, 1219, 1404, 6831, 731, 4311, 267, 3556, 267, 1688, 17107, 1038, 952, 1688, 269, 8518, 5332, 334, 2652, 476, 272, 912, 2018, 5129, 8217, 815, 1582, 11519, 335, 272, 318, 2452, 539, 454, 1038, 3116, 912, 2018, 5129, 8217, 815, 1582, 11519, 335, 273, 318, 2452, 539, 692, 1038 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13202, 476, 1428, 267, 476, 1001, 276, 454, 763, 476, 1001, 275, 5259, 5019, 3949, 936, 26219, 11906, 1284, 777, 976, 20121, 2315, 543, 741, 11572, 8177, 267, 609, 13159, 7033, 5202, 540, 15638, 454, 763, 18368, 268, 10864, 582, 7007, 3375, 602, 4718, 519, 26219, 2229, 779, 3114, 9604, 6006, 9243, 1242, 676, 29230, 3974, 538, 519, 11335, 7256, 538, 4864, 476, 1001, 275, 3361, 7839, 1857, 10845, 538, 10255, 543, 7977, 267, 689, 519, 4090, 621, 729, 9307, 1896, 3275, 4505, 269, 1717, 267, 896, 2178, 2604, 689, 519, 6341, 31730, 2229, 267, 2101, 6469, 2923, 941, 27209, 689, 8989, 827, 621, 269, 634, 3390, 729, 849, 5266, 896, 3146, 19959, 538, 519, 3486, 2527, 2923, 267, 607, 1134, 267, 3226, 538, 519, 2629, 2038, 3275, 1354, 519, 2680, 2968, 513, 3655, 527, 6104, 328, 563, 11693, 519, 2923, 779, 3448, 967, 29924, 267, 519, 3390, 729, 6854, 9800, 267, 543, 1705, 4309, 9645, 1857, 3007, 267, 5097, 998, 519, 960, 540, 29065, 15628, 269, 634, 5259, 2442, 856, 322, 787, 3576, 519, 1106, 540, 1857, 17600, 543, 30852, 689, 3025, 1519, 1455, 4961, 267, 13278, 2006, 267, 7286, 27563, 267, 14761, 543, 824, 1857, 5515, 269, 634, 17600, 8445, 539, 538, 5147, 543, 4864, 267, 950, 519, 4890, 5106, 729, 5645, 856, 593, 519, 2475, 13108, 6077, 631, 309, 15729, 14105, 267, 538, 606, 1858, 22236, 540, 519, 6532, 540, 11511, 974, 267, 538, 3486, 7297, 1063, 10255, 543, 7977, 563, 4263, 519, 942, 267, 519, 11786, 2470, 540, 519, 5692, 729, 28978, 676, 519, 2475, 4108, 779, 11760, 618, 602, 2094, 971, 513, 1184, 1185, 2760, 1044, 13986, 267, 606, 4998, 1267, 1223, 711, 581, 16798, 268, 1498, 3388, 1131, 2048, 22238, 2406, 685, 1439, 9108, 269, 16380, 543, 32228, 2103, 267, 3226, 1346, 945, 2661, 2282, 519, 7013, 5032, 338, 267, 2808, 713, 1544, 3352, 22529, 1043, 693, 1655, 543, 18796, 741, 6608, 22599, 513, 1788, 789, 5156, 547, 581, 5906, 547, 519, 1604, 543, 547, 741, 24454, 563, 288, 11572, 17136, 1282, 519, 11572, 5510, 4149, 324, 1783, 454, 7628, 519, 20833, 1606, 869, 4832, 3275, 267, 519, 3114, 9604, 3390, 729, 835, 540, 519, 1906, 2101, 2798, 540, 9880, 630, 1278, 982, 519, 15194, 22687, 779, 3454, 543, 2804, 4507, 264, 13389, 519, 6341, 31730, 2229, 269, 1717, 267, 1310, 519, 2475, 13108, 543, 25944, 585, 519, 1160, 22128, 540, 11906, 1284, 777, 976, 9307, 593, 476, 1724, 4864, 602, 519, 5692, 1185, 8854, 2687, 547, 1544, 267, 609, 1100, 7805, 2825, 3441, 267, 519, 3390, 729, 3533, 16618, 543, 20374, 689, 519, 2923, 15587, 563, 32701, 267, 5103, 519, 14897, 766, 540, 519, 3390, 689, 3232, 6214, 1310, 519, 4832, 12424, 267, 519, 1739, 5892, 10595, 335, 21242, 1592, 540, 782, 5259, 17600, 543, 2147, 3527, 1996, 519, 3114, 9604, 9552, 3609, 6920, 602, 519, 6896, 4187, 1705, 723, 513, 13455, 543, 1713, 1909, 538, 2810, 24353, 5134, 6412, 540, 519, 10002, 641, 983, 6341, 31730, 2229, 267, 799, 568, 1631, 6849, 7142, 12836, 593, 476, 1839, 5130, 563, 11997, 267, 1247, 5259, 15628, 941, 538, 519, 1439, 8572, 547, 1689, 741, 2229, 779, 13384, 11208, 540, 519, 29230, 3974, 1544, 267, 519, 18487, 32398, 602, 741, 1857, 17600, 543, 1514, 2923, 11044, 6383, 8197, 5280, 3142, 1927, 513, 9962, 2039, 540, 4961, 547, 519, 2427, 540, 519, 11685, 20219, 6020, 313, 288, 267, 799, 29860, 6619, 538, 519, 1135, 3149, 1310, 3864, 12057, 776, 12836, 540, 2038, 4832, 563, 13295, 267, 538, 519, 19469, 2079, 267, 519, 11685, 21445, 17600, 543, 1857, 3527, 3100, 547, 723, 5280, 538, 24569, 1489, 585, 20219, 6020, 313, 288, 267, 543, 1256, 10888, 621, 1007, 17037, 267, 1282, 519, 3335, 3500, 4832, 3275, 267, 950, 6644, 1135, 3149, 941, 2322, 593, 3180, 269, 2290, 1267, 540, 713, 729, 602, 6341, 31730, 543, 1010, 2319, 4607, 513, 678, 8775, 8710, 950, 267, 13059, 689, 16314, 538, 2038, 5181, 267, 789, 941, 21947, 609, 1007, 1239, 602, 2322, 20219, 6020, 313, 288, 1256, 2417, 6619, 540, 519, 3026, 320, 17435, 758, 7806, 807, 6261, 3008, 10498, 22687, 563, 763, 11906, 1284, 777, 976, 17136, 543, 700, 24147, 32185, 1744, 22284, 454, 763, 6305, 14012, 267, 4250, 532, 2417, 17600, 936, 1010, 10002, 641, 983, 2804, 543, 2883, 11650, 609, 3486, 5491, 832, 267, 729, 7142, 547, 1847, 18858, 11986, 12909, 547, 8303, 282, 5612, 1310, 713, 3357, 519, 4715, 12386, 540, 7128, 538, 678, 3999, 10591, 9505, 1154, 1524, 1804, 2694, 540, 634, 1087, 531, 517, 5942, 267, 26723, 839, 4601, 547, 16102, 3026, 320, 17435, 758, 7806, 807, 24788, 2456, 945, 3357, 547, 3717, 16280, 547, 741, 1378, 588, 3042, 5304, 267, 693, 519, 5993, 16777, 4041, 311, 17269, 6679, 538, 5181, 267, 5103, 513, 3668, 540, 1022, 1713, 1486, 22246, 593, 519, 10754, 3544, 269, 6270, 2238, 8612, 519, 2186, 540, 1612, 8457, 807, 17680, 6137, 519, 2229, 563, 21579, 31730, 685, 3375, 547, 2709, 909, 10255, 607, 519, 8348, 18579, 540, 6757, 6464, 2968, 513, 1582, 1606, 6326, 14404, 720, 332, 281, 646, 1031, 621, 547, 1788, 606, 3239, 540, 10255, 630, 663, 1010, 2229, 538, 1880, 264, 607, 1373, 513, 2048, 4486, 24114, 24343, 10200, 1717, 267, 713, 3375, 729, 849, 1500, 693, 513, 942, 540, 2489, 2604, 593, 519, 2197, 1813, 547, 519, 3500, 10605, 540, 32486, 2804, 15024, 543, 3051, 520, 3074, 269, 4475, 267, 519, 1482, 2804, 32252, 3512, 602, 10255, 1336, 3294, 538, 693, 519, 942, 17515, 1022, 15407, 519, 2229, 1522, 723, 1185, 547, 2061, 519, 5106, 689, 9648, 269, 1306, 971, 267, 519, 9552, 540, 16850, 779, 3114, 9604, 1055, 540, 5259, 24528, 8612, 519, 2229, 779, 3448, 8467, 267, 711, 4222, 563, 9743, 6627, 1488, 5766, 766, 543, 519, 4329, 7971, 545, 1436, 540, 519, 17136, 454, 19950, 5944, 2614, 267, 2705, 267, 1256, 1498, 519, 27333, 3811, 17189, 29230, 3974, 5106, 1185, 1044, 16618, 676, 2923, 676, 5437, 476, 1001, 275, 267, 14579, 10579, 10469, 714, 601, 657, 4682, 856, 540, 1010, 1259, 547, 3142, 621, 909, 1586, 538, 606, 1566, 24737, 585, 519, 605, 3766, 17922, 22186, 25534, 7236, 630, 10517, 21242, 593, 519, 14579, 16457, 12080, 3896, 1934, 1916, 1103, 519, 476, 273, 5437, 4062, 267, 519, 4922, 16339, 2213, 2184, 4618, 533, 2632, 881, 919, 593, 2048, 20139, 13618, 593, 4914, 3609, 685, 543, 519, 2495, 540, 2048, 25152, 32742, 16224, 512, 659, 527, 569, 3954, 580, 7992, 20219, 6020, 313, 288, 630, 663, 519, 1082, 8723, 4961, 945, 3838, 741, 2825, 4145, 538, 519, 29230, 3974, 2339, 1040, 2991, 19696, 1806, 540, 1018, 646, 15109, 2665, 540, 2318, 3084, 13618, 538, 2962, 267, 10469, 714, 601, 657, 23403, 519, 3114, 9604, 4145, 607, 513, 17804, 835, 912, 2108, 2507, 1492, 22672, 1652, 1857, 7521, 5645, 856, 513, 1906, 3275, 3516, 3823, 519, 9277, 2825, 10898, 538, 519, 11335, 689, 519, 5106, 585, 519, 9552, 540, 16850, 779, 3114, 9604, 19070, 531, 267, 896, 519, 1852, 540, 519, 6167, 3294, 543, 519, 25944, 585, 519, 1160, 22128, 540, 11906, 1284, 777, 976, 1107, 606, 5106, 602, 729, 12913, 538, 2347, 3106, 1107, 568, 513, 9258, 1383, 3034, 763, 2698, 7873, 525, 322, 3290, 10423, 538, 713, 3948, 6920, 1586, 1946, 865, 1082, 16380, 723, 1185, 2614, 540, 741, 1699, 3401, 543, 741, 14820, 540, 796, 23896, 539, 27166, 936, 741, 4961, 269, 898, 1058, 581, 15422, 602, 1247, 1082, 1004, 945, 1486, 6479, 610, 6829, 4145, 827, 519, 3114, 9604, 1544, 941, 711, 2818, 540, 20219, 6020, 313, 288, 267, 519, 5428, 568, 1305, 547, 3094, 1082, 811, 16018, 982, 6382, 1522, 581, 519, 2013, 267, 543, 2523, 538, 11511, 974, 543, 519, 19994, 641, 517, 333, 3150, 267, 4481, 1317, 540, 519, 2229, 779, 17418, 267, 610, 771, 15517, 267, 547, 1174, 602, 713, 729, 606, 3390, 602, 12592, 1256, 3284, 11823, 16380, 547, 957, 563, 2304, 2048, 4263, 4380, 1877, 540, 5940, 6412, 20371, 763, 1034, 7839, 1857, 4145, 936, 519, 6341, 31730, 2229, 779, 1544, 941, 5433, 538, 519, 1858, 14191, 547, 519, 9552, 281, 11511, 974, 269, 901, 1804, 543, 4830, 16490, 6532, 814, 13840, 2141, 7152, 513, 5134, 6412, 540, 6392, 267, 2436, 621, 729, 519, 10469, 564, 2103, 267, 12228, 30689, 610, 2221, 779, 2229, 538, 18603, 269, 634, 3114, 9604, 26035, 1152, 22755, 519, 6532, 811, 2509, 519, 11685, 269, 1809, 2825, 4145, 941, 5433, 11992, 538, 10255, 607, 1134, 267, 543, 5280, 1106, 3486, 24816, 609, 2950, 4687, 741, 4145, 267, 3226, 538, 7013, 7977, 269, 11569, 267, 519, 7969, 630, 531, 784, 609, 519, 5053, 264, 2451, 814, 1831, 835, 540, 20219, 6020, 313, 288, 779, 1883, 16167, 267, 543, 538, 476, 1001, 275, 519, 3114, 9604, 3390, 729, 835, 540, 1346, 602, 1185, 606, 1198, 593, 2810, 741, 8994, 9316, 563, 22958, 3320, 267, 607, 2959, 5815, 267, 513, 1804, 851, 540, 519, 3441, 519, 5259, 2229, 13455, 729, 11032, 947, 3320, 1582, 19899, 21719, 269, 634, 1966, 729, 519, 9228, 9000, 540, 29355, 9111, 268, 1945, 2417, 8476, 676, 10469, 714, 601, 657, 685, 4214, 540, 1857, 7521, 607, 2048, 516, 1188, 1652, 19028, 29012, 267, 835, 9972, 20219, 6020, 313, 288, 4914, 3609, 25129, 5143, 26811, 534, 4519, 2593, 5063, 602, 968, 1492, 2199, 2146, 729, 711, 31570, 610, 5483, 827, 519, 3114, 9604, 3375, 268, 789, 941, 7357, 12790, 538, 519, 1184, 269, 901, 2882, 711, 1152, 519, 2199, 2797, 3401, 267, 855, 849, 2834, 4961, 267, 29940, 4171, 24454, 4096, 593, 519, 4262, 267, 1004, 538, 519, 9235, 1870, 267, 2825, 1235, 543, 1866, 269, 901, 3668, 540, 15360, 2813, 606, 5790, 540, 1253, 6412, 540, 519, 6341, 31730, 2229, 3034, 763, 20219, 6020, 313, 288, 25129, 2417, 6353, 519, 29230, 3974, 28093, 5766, 331, 1470, 607, 513, 2048, 339, 716, 673, 14710, 685, 855, 835, 609, 2318, 2360, 585, 5428, 2534, 267, 2523, 538, 11511, 974, 269, 968, 4407, 519, 1857, 779, 11685, 1705, 711, 1291, 547, 513, 1689, 538, 519, 2229, 779, 3609, 2223, 7074, 519, 25129, 267, 968, 527, 1705, 2333, 519, 4540, 7839, 1857, 1253, 6412, 540, 519, 6341, 31730, 2229, 267, 543, 519, 7287, 585, 513, 1114, 2186, 540, 5718, 3034, 306, 312, 6020, 313, 288, 814, 2322, 606, 8561, 593, 2199, 17933, 543, 15387, 606, 3239, 540, 6947, 547, 2199, 2551, 779, 2115, 267, 1945, 602, 519, 620, 334, 1993, 1651, 3518, 550, 2229, 568, 1419, 22309, 585, 711, 3257, 269, 634, 1249, 602, 519, 3114, 9604, 3390, 1185, 971, 513, 2178, 2199, 1445, 1500, 621, 835, 602, 729, 4998, 585, 2797, 2054, 1235, 547, 946, 267, 547, 11168, 519, 3604, 538, 1935, 1063, 519, 15194, 543, 11685, 6105, 563, 8002, 643, 1235, 19793, 557, 513, 12763, 540, 11773, 267, 6736, 513, 19768, 540, 9012, 22452, 454, 2026, 519, 1739, 5892, 10002, 21242, 1592, 540, 1857, 2238, 4478, 519, 3114, 9604, 3390, 8761, 267, 972, 729, 513, 11931, 543, 13455, 6908, 540, 2621, 602, 1185, 606, 1198, 593, 4657, 8369, 267, 689, 11511, 974, 547, 29761, 547, 7977, 269, 1717, 267, 519, 1267, 1223, 723, 1044, 1454, 3152, 267, 15628, 3494, 267, 1185, 519, 13416, 2923, 4988, 519, 3390, 811, 12517, 269, 634, 27421, 602, 519, 2229, 998, 519, 1101, 3368, 540, 476, 1001, 275, 6766, 2923, 547, 1524, 2452, 519, 12178, 540, 519, 5106, 267, 610, 711, 547, 1867, 593, 621, 15587, 267, 729, 7839, 269, 2290, 7006, 2255, 689, 31350, 534, 15628, 538, 5147, 267, 1500, 2139, 547, 26811, 534, 4519, 2593, 267, 8612, 1018, 789, 5433, 713, 5921, 585, 519, 3084, 4656, 540, 519, 3390, 912, 2108, 10144, 538, 11511, 974, 2219, 602, 519, 5259, 2527, 2923, 1131, 581, 6213, 547, 971, 513, 3978, 3390, 543, 2285, 32398, 547, 621, 267, 855, 519, 2527, 2923, 1705, 711, 269, 769, 1082, 4025, 538, 10255, 267, 1004, 798, 711, 917, 827, 519, 29230, 3974, 538, 519, 11335, 7256, 267, 1256, 1498, 621, 5540, 873, 1932, 269, 634, 3377, 4080, 593, 7641, 1281, 711, 3382, 519, 19771, 538, 11511, 974, 269, 1306, 513, 1267, 267, 1004, 538, 824, 4025, 538, 10255, 723, 1100, 2856, 827, 519, 3390, 3034, 8002, 643, 1235, 693, 519, 942, 7150, 602, 519, 5259, 2229, 1185, 23900, 855, 3196, 2685, 24016, 519, 2923, 547, 711, 1867, 593, 519, 3390, 269, 1635, 5147, 476, 1001, 275, 267, 519, 3510, 1185, 1831, 535, 2117, 673, 281, 17137 ]

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

[ 1419, 5340, 538, 519, 5604, 4259, 610, 607, 606, 30229, 563, 305, 580, 573, 28144, 22000, 568, 5645, 856, 896, 2489, 23236, 269, 901, 568, 1419, 5340, 538, 519, 6413, 610, 607, 606, 538, 18345, 563, 290, 22438, 22000, 609, 513, 23707, 568, 513, 5634, 5650, 269, 898, 3123, 1152, 5634, 9636, 563, 1692, 28144, 22000, 609, 23707, 568, 5340, 888, 763, 4387, 3096, 513, 6094, 267, 8465, 8546, 1572, 513, 28144, 24005, 454, 269, 634, 28144, 24005, 814, 23726, 11103, 3330, 621, 267, 543, 513, 1769, 543, 2363, 788, 19991, 693, 835, 1439, 269, 634, 4387, 666, 1294, 1524, 519, 28144, 24005, 547, 1413, 693, 519, 5961, 269, 1452, 949, 849, 581, 3254, 593, 513, 7641, 6895, 563, 7312, 4387, 849, 10596, 1507, 7405, 1524, 519, 28144, 24005, 547, 1491, 5439, 540, 5160, 630, 6798, 3591, 625, 264, 689, 519, 16298, 540, 707, 15485, 563, 2791, 2356, 723, 713, 1449, 896, 513, 2489, 606, 20469, 563, 1432, 4523, 1310, 28144, 22000, 609, 23707, 888, 2791, 979, 547, 519, 6413, 585, 713, 1449, 267, 2356, 593, 519, 1554, 269, 1411, 616, 4280, 711, 3548, 610, 4235, 4376, 585, 693, 2547, 476, 277, 3108, 1354, 519, 28144, 22000, 609, 23707, 563, 2791, 1522, 991, 513, 1973, 1449, 543, 513, 9221, 1535, 11920, 454, 29592, 519, 28144, 22000, 269, 901, 568, 3339, 585, 4896, 2348, 513, 2489, 606, 20469, 563, 1103, 930, 10506, 267, 596, 949, 723, 513, 11983, 606, 20469, 3079, 540, 513, 2489, 606, 20469, 269, 901, 568, 606, 13297, 883, 707, 12636, 630, 788, 573, 1116, 264, 865, 596, 666, 1406, 1745, 4376, 2630, 707, 22765, 269, 1411, 949, 849, 723, 930, 11216, 1354, 519, 1449, 563, 7312, 4387, 949, 2322, 513, 20004, 883, 707, 15485, 606, 5662, 1354, 707, 28144, 22000, 609, 23707, 269, 634, 20004, 568, 6213, 547, 1769, 269, 4438, 519, 28144, 22000, 267, 789, 19542, 513, 4544, 1769, 593, 519, 15485, 16298, 269, 901, 568, 1572, 2584, 17871, 5868, 269, 898, 666, 948, 547, 1397, 909, 1022, 2127, 540, 2860, 811, 5693, 563, 1692, 1449, 568, 5340, 888, 7312, 11285, 8499, 12116, 519, 3330, 540, 707, 15485, 543, 23443, 628, 571, 1210, 519, 28144, 24005, 1247, 596, 2461, 896, 606, 20469, 269, 1358, 1491, 5439, 540, 5160, 630, 6798, 3591, 625, 264, 689, 1022, 2127, 602, 1413, 9402, 269, 1358, 849, 1491, 1979, 3591, 625, 689, 2127, 602, 1413, 3339, 267, 547, 5635, 873, 609, 269, 901, 2337, 547, 1118, 2386, 540, 519, 5868, 563, 763, 25541, 2127, 616, 1287, 20177, 609, 513, 3905, 16785, 630, 322, 2246, 518, 1242, 264, 547, 948, 3247, 1022, 11702, 563, 1432, 4523, 1310, 519, 1449, 888, 2791, 666, 2356, 979, 1753, 519, 1482, 1554, 269, 901, 5673, 593, 912, 1892, 6892, 875, 1082, 1979, 3591, 625, 941, 3144, 454, 1892, 6892, 875, 596, 2746, 547, 519, 606, 20469, 454, 1892, 6892, 519, 942, 540, 1554, 596, 723, 519, 606, 20469, 1107, 952, 621, 779, 1360, 3735, 538, 519, 1554, 267, 621, 949, 581, 1732, 547, 3251, 16074, 454, 1432, 616, 519, 2417, 4255, 602, 616, 5340, 1310, 28144, 22000, 609, 23707, 888, 15919, 267, 950, 519, 7189, 4983, 519, 1979, 3591, 625, 267, 789, 798, 711, 1331, 5160, 689, 519, 4887, 3774, 269, 1403, 713, 4523, 267, 519, 4387, 786, 2307, 596, 547, 723, 1776, 28144, 22000, 609, 23707, 267, 547, 1491, 5439, 689, 519, 4887, 3774, 269, 1411, 1058, 723, 713, 2944, 1369, 476, 277, 4374, 540, 707, 1101, 5106, 563, 12663, 1022, 9636, 786, 581, 5433, 1282, 28144, 22000, 609, 23707, 888, 2791, 949, 1745, 5634, 1928, 538, 707, 23443, 628, 571, 593, 8429, 10729, 269, 1411, 949, 849, 1294, 15244, 540, 1973, 538, 519, 10729, 269, 1452, 2589, 1058, 711, 2063, 3476, 982, 476, 2190, 3108, 269, 25530, 811, 1216, 2337, 513, 2603, 269, 12769, 31531, 267, 3968, 630, 21406, 28144, 4345, 264, 949, 2049, 543, 2285, 596, 811, 1928, 267, 4908, 267, 543, 23473, 982, 4397, 269, 674, 1197, 949, 849, 2049, 267, 10355, 269, 9701, 596, 14353, 602, 3968, 568, 1459, 267, 3346, 707, 4387, 269, 1261, 786, 991, 547, 21559, 11216, 547, 10826, 713, 563, 1432, 568, 3238, 538, 519, 5650, 540, 28144, 22000, 609, 23707, 888, 2026, 596, 616, 25805, 2429, 519, 5650, 267, 707, 4387, 949, 2285, 596, 513, 4881, 16555, 1247, 646, 4991, 596, 5423, 269, 634, 19058, 1858, 568, 19345, 609, 513, 7646, 1884, 1047, 10364, 543, 519, 1858, 4988, 609, 513, 25062, 630, 8882, 1068, 850, 264, 6656, 269, 3973, 513, 2199, 606, 20469, 15074, 568, 2322, 883, 519, 23443, 628, 571, 563, 763, 15074, 2501, 538, 513, 8546, 543, 568, 17065, 7458, 883, 519, 23443, 628, 571, 269, 1703, 949, 581, 13581, 588, 15781, 607, 621, 6238, 547, 960, 269, 1879, 519, 6293, 10301, 519, 838, 327, 3307, 518, 3330, 519, 23443, 628, 571, 267, 596, 786, 581, 4280, 547, 798, 519, 2962, 540, 20704, 532, 610, 513, 11522, 267, 547, 6001, 519, 838, 327, 3307, 518, 454, 269, 1703, 949, 581, 513, 5618, 4090, 540, 9636, 607, 519, 16263, 10596, 998, 563, 2691, 707, 4387, 12116, 519, 15485, 267, 646, 25361, 707, 15485, 609, 29649, 543, 596, 949, 1745, 602, 596, 1616, 547, 1780, 10729, 269, 1635, 519, 1439, 540, 519, 5650, 799, 1152, 3217, 513, 1906, 3764, 267, 596, 949, 1745, 519, 2407, 1145, 543, 991, 547, 1780, 1216, 1586, 563, 1432, 616, 519, 4220, 540, 28144, 22000, 609, 23707, 888, 7197, 1004, 798, 711, 723, 2042, 1310, 2348, 513, 28144, 22000, 855, 607, 609, 1022, 2564, 5650, 267, 972, 616, 2009, 4220, 269, 1411, 1522, 723, 7646, 8781, 610, 588, 15781, 950, 596, 1780, 10729, 269, 898, 949, 849, 1413, 5594, 1973, 560, 7134, 585, 513, 1554, 610, 1079, 269, 25530, 7899, 1058, 948, 609, 713, 563, 2791, 1058, 3346, 519, 6413, 952, 596, 616, 1869, 11702, 476, 4366, 3108, 1310, 707, 1449, 267, 519, 11702, 568, 3478, 8338, 610, 972, 616, 1973, 28163, 538, 707, 10729, 563, 2467, 568, 513, 1507, 1981, 540, 3968, 269, 12580, 666, 1331, 912, 268, 476, 1109, 4707, 547, 519, 16003, 811, 1419, 454, 268, 476, 1109, 321, 9506, 543, 588, 15781, 950, 8429, 10729, 454, 268, 476, 1109, 10623, 9934, 3905, 543, 4411, 610, 695, 6116, 454, 268, 476, 1109, 743, 3716, 344, 610, 18086, 1159, 2454, 10729, 454, 290, 22438, 22000, 609, 23707, 786, 5934, 1942, 547, 12652, 269, 476, 3374, 267, 1822, 547, 5021, 12652, 269, 476, 3583, 267, 1822, 563, 268, 476, 1109, 10090, 958, 4743, 796, 6202, 0, 10144, 609, 13119, 949, 24214, 8338, 982, 1346, 609, 3339, 1973, 2604, 952, 789, 4309, 513, 19576, 685, 2068, 5868, 267, 2687, 547, 519, 2164, 540, 513, 1007, 1353, 563, 10527, 2164, 2303, 602, 19993, 2359, 540, 1164, 1973, 2604, 666, 849, 2087, 19576, 779, 2068, 2589, 2223, 1353, 4589, 1767, 563, 288, 1895, 540, 7969, 543, 3703, 3173, 1031, 1239, 689, 519, 19576, 779, 4273, 1833, 4460, 619, 19541, 6538, 23032, 676, 519, 7812, 808, 269, 16737, 7690, 585, 19576, 779, 3194, 547, 1413, 585, 513, 3017, 538, 519, 12508, 538, 2038, 267, 15860, 19576, 779, 2068, 269, 2368, 540, 891, 12508, 3769, 5179, 543, 1875, 332, 19318, 2589, 267, 11719, 545, 6724, 543, 17585, 3133, 21544, 4567, 563, 17606, 2968, 2312, 602, 2550, 609, 13119, 8858, 5179, 2589, 540, 513, 3152, 10335, 267, 971, 607, 16757, 6551, 7190, 610, 513, 23646, 540, 17319, 5179, 3252, 267, 607, 1134, 607, 513, 4389, 4390, 538, 519, 4299, 21828, 14228, 20377, 2223, 1767, 5484, 328, 3133, 334, 16902, 867, 8457, 267, 631, 6185, 1421, 9683, 11001, 693, 3751, 779, 5441, 5507, 543, 513, 4791, 1382, 12314, 693, 519, 11671, 19592, 523, 3130, 24919, 6828, 269, 1261, 4843, 519, 2164, 540, 519, 1353, 693, 519, 2487, 12059, 6837, 540, 519, 3864, 9142, 540, 27096, 344, 538, 24545, 563, 12867, 11760, 602, 519, 1239, 1152, 941, 16861, 267, 865, 811, 1382, 1131, 991, 547, 581, 2944, 547, 3313, 519, 2407, 2078, 1063, 519, 1079, 3676, 269, 589, 3095, 1063, 519, 1079, 3676, 814, 1044, 6594, 5892, 267, 2705, 269, 589, 476, 1220, 279, 2160, 540, 30239, 630, 18933, 15909, 264, 1353, 1336, 602, 930, 13119, 6527, 4389, 519, 1981, 540, 19576, 779, 2068, 269, 0, 2026, 11688, 3446, 1603, 7005, 3860, 3211, 585, 476, 276, 1565, 519, 2956, 540, 519, 14427, 6186, 712, 344, 799, 568, 9247, 513, 12042, 8896, 547, 1967, 538, 1153, 5396, 2250, 267, 1459, 543, 2104, 267, 5383, 540, 3818, 910, 5418, 910, 1788, 269, 2659, 2816, 568, 1169, 8792, 540, 1169, 1480, 1373, 568, 18106, 1510, 606, 2144, 11047, 639, 266, 9886, 851, 536, 4390, 2679, 538, 1931, 547, 3035, 1808, 4928, 3853, 269, 24356, 4928, 5717, 1759, 593, 16198, 1063, 3681, 269, 9442, 689, 519, 1611, 269, 7335, 267, 12103, 1039, 2581, 910, 530, 525, 2917, 269, 2755, 713, 9356, 513, 3395, 1560, 540, 1702, 1543, 3001, 689, 2250, 2833, 543, 2093, 547, 2093, 6700, 547, 1404, 1565, 2238, 1491, 1747, 6140, 538, 519, 8076, 2853, 540, 18149, 940, 5553, 910, 2025, 13653, 267, 795, 846, 7542, 516, 4275, 267, 6045, 547, 803, 267, 2192, 1224, 547, 707, 1126, 269, 769, 1007, 1259, 540, 1565, 269, 4841, 941, 14477, 8655, 547, 519, 1158, 269, 16515, 819, 568, 7396, 9904, 1227, 676, 2278, 269, 3204, 8973, 4008, 910, 14920, 29077, 269, 4658, 540, 1101, 1032, 32204, 524, 545, 3266, 1000, 27097, 3446, 4374, 2596, 6323, 513, 1582, 910, 6514, 666, 267, 609, 519, 25358, 3889, 540, 6960, 543, 782, 534, 2458, 1231, 5189, 513, 3791, 2520, 528, 2471, 546, 656, 517, 267, 519, 8789, 7574, 2853, 269, 634, 3450, 2511, 538, 519, 1106, 540, 9886, 3156, 543, 6054, 267, 562, 4912, 269, 674, 7967, 577, 1157, 267, 575, 269, 590, 269, 2506, 753, 267, 536, 269, 808, 269, 2480, 3530, 13783, 1950, 1565, 5054, 267, 649, 8044, 602, 891, 12331, 6457, 1302, 543, 9921, 607, 513, 30973, 31369, 5048, 547, 824, 1374, 10148, 666, 581, 1031, 855, 10355, 5941, 538, 519, 1788, 543, 910, 3544, 519, 7262, 8106, 2245, 267, 3446, 3211, 1603, 7005, 3860, 585, 476, 276, 543, 621, 6437, 1646, 269, 9122, 593, 5030, 543, 13865, 1242, 543, 1419, 22851, 538, 11180, 7239, 6560, 547, 11677, 519, 835, 1688, 543, 2199, 6237, 1377, 568, 5111, 835, 1296, 20478, 563, 12663, 7060, 540, 519, 10688, 540, 1053, 267, 27466, 525, 267, 29095, 267, 1762, 1004, 543, 9268, 19250, 269, 634, 3255, 585, 6690, 547, 1831, 3238, 610, 547, 12638, 679, 11792, 572, 741, 8284, 1053, 543, 5234, 282, 7041, 540, 2575, 1299, 12416, 23463, 6032, 269, 1715, 543, 11160, 910, 544, 5034, 7160, 269, 634, 2796, 4082, 552, 267, 1287, 15824, 519, 12588, 538, 1950, 2081, 267, 3056, 547, 519, 6935, 5271, 6327, 540, 693, 332, 6327, 540, 693, 15879, 663, 610, 7099, 269, 2353, 1919, 616, 711, 8789, 538, 2069, 585, 1762, 24413, 546, 1196, 267, 713, 568, 5812, 609, 519, 3617, 1747, 547, 1747, 2164, 689, 606, 8301, 10916, 269, 8249, 585, 17404, 543, 17048, 9607, 267, 15146, 2338, 267, 543, 824, 2069, 7426, 547, 1491, 5413, 540, 1007, 2148, 9313, 267, 538, 795, 269, 700, 1511, 32308, 269, 8729, 547, 621, 267, 676, 15962, 938, 2663, 267, 538, 1022, 13567, 269, 7305, 269, 1548, 568, 2257, 1702, 269, 1715, 26294, 4342, 8822, 269, 5071, 18638, 27380, 568, 835, 2460, 540, 4480, 1373, 2919, 676, 519, 4116, 267, 2094, 596, 723, 547, 4019, 1053, 1590, 9305, 547, 782, 4093, 543, 17016, 563, 2467, 568, 849, 4483, 762, 476, 276, 3446, 1603, 7005, 3860, 3211, 585, 547, 1022, 6484, 1982, 7488, 540, 741, 6388, 3322, 7856, 6791, 267, 1818, 873, 2936, 930, 540, 621, 4648, 269, 21452, 267, 5473, 1004, 538, 513, 3099, 540, 1007, 3450, 267, 1382, 610, 2165, 4574, 269, 2859, 5688, 12264, 267, 6437, 2497, 607, 1134, 8036, 3610, 267, 4824, 3450, 814, 3366, 547, 519, 6531, 269, 901, 1935, 3340, 519, 4527, 540, 24193, 543, 10694, 2694, 540, 519, 3872, 6565, 607, 851, 540, 2359, 12417, 28868, 267, 13539, 267, 4247, 543, 2262, 3756, 269, 23675, 1299, 2069, 269, 18409, 518, 267, 546, 269, 808, 269, 8535, 6927, 606, 1168, 6138, 540, 2069, 538, 519, 3781, 6607, 5544, 1562, 3391, 267, 543, 8300, 519, 3610, 3646, 269, 589, 13186, 693, 1183, 25279, 6280, 269, 645, 529, 13195, 267, 575, 269, 8614, 784, 267, 554, 269, 20943, 928, 11119, 267, 795, 269, 590, 592, 1356 ]

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

[ 543, 519, 1964, 540, 519, 2609, 616, 21325, 568, 1572, 513, 22185, 5119, 269, 476, 279, 269, 589, 4009, 5119, 538, 799, 1142, 3693, 540, 519, 9030, 15497, 568, 1412, 272, 262, 543, 519, 824, 2609, 616, 4642, 568, 1572, 606, 3961, 5119, 610, 1770, 5119, 267, 543, 568, 20922, 676, 1412, 296, 8339, 1323, 3961, 5119, 568, 513, 22185, 5119, 849, 269, 476, 280, 269, 1403, 589, 568, 513, 5119, 267, 519, 5119, 5833, 676, 954, 577, 4474, 519, 9343, 543, 9587, 540, 589, 568, 1572, 922, 1098, 2821, 543, 568, 20922, 676, 11083, 269, 476, 1015, 269, 5565, 14290, 589, 543, 645, 616, 1767, 547, 581, 3160, 952, 543, 1152, 952, 789, 616, 540, 519, 1482, 1931, 543, 741, 7222, 5011, 616, 3160, 269, 476, 1556, 269, 634, 4642, 5119, 568, 519, 3961, 3693, 538, 5119, 1840, 269, 1775, 4318, 1421, 589, 1341, 744, 815, 744, 1341, 589, 815, 589, 269, 476, 1321, 269, 19336, 1840, 568, 862, 32477, 269, 1775, 4318, 1421, 589, 1341, 645, 815, 645, 1341, 589, 269, 476, 1724, 269, 19336, 1840, 568, 1997, 894, 269, 1775, 4318, 1421, 630, 288, 266, 289, 11924, 290, 815, 589, 23444, 289, 266, 290, 1040, 476, 1691, 269, 476, 1428, 269, 589, 5174, 568, 3989, 607, 589, 266, 8987, 289, 1040, 476, 1626, 269, 1403, 918, 267, 561, 616, 1483, 1297, 1287, 267, 918, 10490, 266, 289, 264, 815, 918, 288, 1341, 22995, 282, 630, 298, 266, 331, 264, 288, 815, 918, 288, 1341, 561, 288, 269, 476, 1704, 269, 1403, 589, 543, 645, 616, 1079, 14290, 267, 1287, 741, 1587, 9474, 568, 3989, 1152, 950, 519, 1297, 540, 9587, 538, 589, 568, 3160, 547, 519, 1297, 540, 9343, 538, 645, 269, 3973, 589, 543, 645, 616, 1767, 547, 581, 14883, 762, 585, 8691, 269, 476, 1240, 269, 769, 2489, 519, 8691, 540, 14290, 711, 862, 32477, 269, 476, 866, 269, 476, 736, 269, 18527, 540, 14290, 568, 1997, 894, 269, 1775, 4318, 1421, 630, 5723, 264, 290, 815, 589, 263, 6195, 1040, 476, 2641, 269, 1403, 594, 568, 519, 1770, 5119, 1287, 3642, 815, 29722, 815, 589, 267, 594, 568, 519, 5860, 3693, 538, 5119, 8691, 269, 476, 2420, 269, 1403, 9474, 815, 476, 271, 267, 1287, 621, 568, 711, 2556, 602, 693, 548, 770, 589, 610, 645, 568, 513, 4642, 5119, 269, 476, 2537, 269, 513, 16360, 266, 290, 264, 815, 9474, 1341, 22601, 543, 630, 289, 266, 290, 264, 288, 815, 22601, 1341, 11404, 267, 2733, 5737, 1876, 269, 476, 2190, 269, 1403, 519, 1098, 2821, 540, 513, 2016, 5119, 568, 3160, 547, 922, 19605, 11201, 267, 1287, 519, 5119, 568, 1572, 7729, 342, 21136, 5119, 269, 476, 1839, 269, 634, 24572, 540, 589, 568, 20922, 676, 1923, 288, 347, 610, 5489, 589, 269, 476, 2918, 269, 1403, 519, 24572, 540, 5119, 568, 4642, 621, 568, 1572, 513, 13737, 5119, 269, 476, 2767, 269, 1403, 519, 24572, 540, 5119, 568, 711, 4642, 621, 568, 1572, 513, 1875, 1606, 532, 983, 5119, 269, 476, 2764, 269, 1403, 589, 568, 513, 1875, 1606, 532, 983, 5119, 543, 645, 568, 1776, 5119, 971, 602, 2806, 815, 22601, 815, 594, 267, 1287, 645, 568, 1572, 519, 11201, 540, 589, 543, 568, 20922, 676, 589, 268, 347, 269, 1403, 9474, 815, 22601, 815, 594, 267, 1287, 645, 815, 589, 268, 347, 269, 1403, 589, 268, 347, 267, 1287, 645, 268, 347, 269, 476, 3066, 269, 476, 1789, 269, 630, 5723, 9984, 347, 815, 645, 268, 347, 288, 268, 347, 269, 476, 4029, 269, 1403, 589, 267, 2473, 543, 645, 616, 14290, 971, 602, 589, 311, 815, 645, 267, 1287, 2473, 815, 589, 268, 347, 289, 269, 19648, 281, 7994, 519, 2953, 2626, 563, 1627, 476, 272, 281, 634, 5119, 11083, 7474, 568, 5833, 676, 954, 577, 4474, 519, 9343, 543, 9587, 540, 513, 2016, 5119, 589, 568, 1572, 21718, 5119, 8542, 821, 540, 519, 3553, 4920, 5099, 2096, 13240, 514, 2091, 1627, 476, 273, 281, 1403, 513, 5119, 568, 3160, 547, 922, 1098, 2821, 267, 1775, 4318, 1421, 589, 815, 11083, 621, 568, 1572, 513, 21718, 5119, 4732, 651, 342, 1623, 5471, 2774, 4920, 5099, 2096, 13240, 514, 2091, 1627, 476, 274, 281, 589, 5119, 538, 799, 1142, 3693, 568, 4642, 568, 1572, 12223, 13090, 269, 18485, 333, 1638, 5119, 14706, 5119, 1627, 476, 275, 281, 5565, 14290, 589, 543, 645, 616, 1767, 547, 581, 3160, 621, 543, 1152, 952, 789, 616, 540, 21718, 1931, 6155, 27075, 338, 877, 1627, 476, 276, 281, 1403, 513, 4009, 5119, 782, 2609, 540, 519, 9030, 15497, 616, 3160, 543, 782, 824, 2609, 616, 4642, 267, 971, 5119, 568, 1572, 12223, 13090, 269, 338, 651, 342, 21136, 2675, 531, 1513, 2096, 13240, 1627, 476, 277, 281, 1280, 519, 1062, 540, 4834, 589, 311, 815, 645, 267, 2473, 568, 1572, 519, 12223, 13090, 5119, 269, 6247, 656, 19702, 762, 1723, 324, 2310, 7726, 476, 278, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 256, 7726, 476, 279, 281, 901, 2243, 568, 2139, 547, 32224, 1152, 2439, 2971, 4427, 2675, 3628, 547, 737, 342, 714, 25892, 4804, 3590, 3091, 519, 1739, 2640, 1384, 1892, 1133, 6135, 24071, 1569, 547, 3446, 3617, 4245, 267, 17118, 267, 1299, 7792, 3211, 454, 1892, 2382, 656, 18176, 540, 2228, 17118, 454, 1892, 18776, 9477, 543, 8366, 22783, 547, 1832, 707, 2875, 12592, 454, 1892, 1133, 15905, 2259, 609, 10081, 24378, 1412, 310, 22003, 13878, 295, 262, 17118, 454, 1892, 4132, 7888, 3896, 609, 1100, 22099, 454, 1892, 14893, 540, 4569, 267, 2296, 267, 3163, 267, 1299, 4317, 5525, 4354, 878, 592, 4548, 454, 1892, 20056, 550, 1871, 585, 918, 268, 1321, 543, 20554, 267, 20389, 267, 1299, 9215, 9128, 299, 4530, 19369, 454, 1892, 5192, 10958, 3091, 676, 11488, 606, 4757, 547, 28774, 287, 29220, 714, 6339, 2593, 692, 13658, 7033, 518, 0, 258, 1215, 1082, 10659, 689, 476, 16348, 330, 9893, 19474, 11090, 2496, 13971, 476, 274, 267, 476, 1708, 273, 692, 1103, 6128, 267, 513, 4999, 568, 513, 5542, 540, 3688, 689, 513, 1305, 267, 1510, 2543, 547, 519, 1931, 538, 799, 789, 616, 5697, 269, 1280, 1383, 267, 2016, 513, 1305, 540, 1614, 5613, 267, 2161, 606, 11945, 267, 513, 19337, 543, 513, 18812, 267, 972, 616, 1614, 10659, 540, 1079, 602, 666, 581, 6537, 689, 713, 1305, 281, 606, 11945, 543, 513, 19337, 282, 606, 11945, 543, 513, 18812, 282, 610, 513, 19337, 543, 513, 18812, 780, 288, 4999, 540, 476, 16348, 330, 3688, 1131, 581, 782, 2009, 2081, 540, 8939, 737, 3688, 689, 513, 1305, 540, 476, 16348, 330, 3688, 267, 1510, 2543, 547, 1931, 269, 1703, 616, 630, 16348, 330, 3442, 737, 264, 971, 10659, 780, 2690, 1383, 267, 952, 737, 284, 275, 267, 1287, 972, 616, 630, 16348, 330, 3442, 476, 275, 264, 815, 630, 16348, 3442, 476, 275, 264, 815, 476, 275, 267, 6021, 277, 971, 10659, 780, 763, 1297, 540, 2009, 10659, 689, 513, 9893, 19474, 11090, 609, 476, 16348, 330, 3197, 1131, 581, 630, 16348, 330, 3442, 737, 1070, 1141, 737, 568, 519, 1297, 540, 3197, 538, 519, 11090, 269, 1403, 519, 11090, 814, 476, 275, 3197, 267, 1287, 972, 1131, 581, 630, 16348, 330, 3442, 476, 275, 264, 815, 630, 16348, 3442, 476, 275, 264, 815, 476, 275, 267, 6021, 277, 971, 10659, 780, 1012, 4033, 1644, 2055, 1384, 2162, 1627, 281, 1215, 1082, 814, 1127, 1118, 513, 3625, 2496, 288, 281, 1703, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 519, 1297, 540, 814, 1127, 2838, 547, 1118, 513, 3625, 666, 4268, 4470, 593, 519, 7411, 1377, 1305, 676, 519, 3060, 269, 1717, 267, 513, 2489, 4341, 540, 14853, 568, 602, 621, 3217, 1472, 476, 1015, 3764, 547, 9553, 513, 2582, 3625, 593, 519, 11670, 3060, 780, 2162, 1627, 281, 1215, 1281, 11670, 5599, 960, 590, 11190, 268, 16348, 2496, 288, 281, 590, 11190, 268, 16348, 568, 513, 6939, 4919, 19474, 1599, 602, 568, 1031, 538, 11670, 779, 5599, 1184, 269, 1879, 513, 3625, 540, 8852, 568, 2813, 267, 19379, 946, 590, 11190, 268, 16348, 547, 3132, 513, 2189, 19474, 602, 5713, 607, 513, 6169, 540, 960, 269, 901, 6169, 540, 960, 568, 1031, 547, 13182, 602, 519, 3625, 568, 4570, 543, 814, 711, 1044, 512, 2086, 1229, 609, 780, 2162, 1627, 281, 1215, 19474, 2557, 568, 7229, 2496, 288, 281, 1703, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 621, 5673, 593, 513, 1297, 540, 2188, 267, 1519, 519, 4398, 540, 519, 5599, 8800, 267, 519, 7411, 540, 519, 5599, 5690, 267, 543, 824, 2188, 269, 1717, 267, 972, 616, 930, 2409, 585, 21501, 19474, 2557, 269, 2290, 1455, 1505, 568, 547, 946, 519, 5599, 3301, 547, 5173, 519, 3328, 1297, 540, 814, 1127, 829, 2034, 602, 519, 8800, 568, 5827, 540, 269, 6271, 1505, 568, 547, 946, 513, 5599, 7535, 602, 13475, 519, 19474, 2557, 540, 922, 2818, 780, 2162, 1627, 281, 1215, 1082, 814, 1127, 1281, 621, 1491, 547, 9553, 513, 11670, 3625, 2496, 288, 281, 898, 3217, 5111, 476, 1015, 3764, 547, 9553, 513, 11670, 3625, 269, 0, 258, 7913, 28686, 14409, 6261, 518, 1675, 540, 15053, 4577, 28686, 692, 30206, 538, 1412, 29094, 6435, 262, 3323, 676, 14255, 545, 651, 329, 275, 267, 3057, 476, 277, 267, 476, 1001, 277, 780, 272, 269, 12693, 14255, 545, 651, 329, 275, 27387, 853, 6621, 16588, 692, 19878, 476, 1321, 267, 476, 1001, 276, 454, 1960, 454, 1015, 454, 15916, 782, 2676, 8923, 666, 596, 4217, 803, 609, 1250, 1753, 960, 585, 1449, 7041, 780, 296, 723, 13986, 713, 2243, 780, 342, 272, 284, 476, 271, 269, 273, 7032, 454, 663, 530, 273, 815, 476, 271, 269, 274, 7032, 454, 17951, 983, 4908, 692, 296, 3576, 11270, 11224, 570, 284, 476, 273, 7032, 270, 271, 269, 273, 7032, 815, 476, 1015, 454, 663, 570, 815, 476, 273, 7032, 270, 271, 269, 274, 7032, 815, 476, 736, 270, 274, 692, 3086, 594, 993, 11821, 786, 519, 2698, 1974, 581, 476, 1015, 1341, 476, 736, 815, 476, 1789, 692, 7775, 786, 594, 723, 547, 1491, 519, 14055, 1455, 1655, 14009, 26042, 514, 713, 2013, 621, 786, 581, 476, 1015, 780, 628, 3471, 692, 2958, 1841, 454, 297, 4141, 692, 273, 269, 12693, 6004, 2704, 31692, 1639, 16588, 692, 21801, 476, 1704, 267, 476, 1001, 275, 454, 273, 267, 6321, 278, 454, 276, 2641, 454, 17098, 10484, 763, 1974, 540, 513, 5365, 568, 476, 272, 11721, 267, 1141, 535, 568, 519, 9803, 23191, 269, 1924, 1265, 519, 9803, 23191, 1101, 780, 3080, 1259, 547, 1935, 713, 568, 547, 6460, 713, 883, 521, 1149, 543, 5430, 1149, 1210, 25586, 781, 3347, 267, 610, 1175, 676, 14791, 563, 6524, 1775, 2285, 4376, 3116, 2476, 267, 2119, 602, 780, 274, 269, 12693, 14255, 545, 651, 329, 275, 27387, 853, 6621, 16588, 692, 19878, 476, 1321, 267, 476, 1001, 276, 454, 1960, 454, 1015, 454, 17098, 11184, 6004, 9590, 10484, 296, 1205, 713, 1384, 296, 530, 2632, 5855, 827, 519, 4645, 3252, 609, 1950, 1297, 795, 10484, 2080, 594, 786, 960, 856, 519, 4908, 585, 1142, 674, 284, 476, 271, 269, 276, 7032, 2473, 271, 269, 273, 7032, 815, 476, 272, 270, 1015, 454, 663, 674, 284, 476, 271, 269, 276, 7032, 2473, 476, 271, 269, 274, 7032, 815, 476, 274, 270, 736, 454, 3383, 649, 1491, 519, 717, 7374, 263, 1015, 267, 736, 264, 815, 476, 1015, 454, 3383, 519, 1974, 786, 581, 476, 1015, 888, 3674, 713, 2953, 2496, 2958, 1841, 454, 297, 4141, 692, 17572, 2450, 912, 1428, 269, 273, 22995, 454, 21366, 912, 273, 454, 275, 269, 12693, 6004, 2704, 31692, 1639, 16588, 692, 21801, 476, 1704, 267, 476, 1001, 275, 454, 273, 267, 6321, 278, 454, 276, 2641, 454, 17098, 972, 10484, 11039, 267, 1775, 729, 15691, 596, 1131, 3113, 519, 1599, 543, 1413, 693, 519, 5951, 845, 269, 2334, 786, 2995, 596, 513, 2603, 563, 2710, 596, 723, 513, 1259, 547, 3113, 519, 5951, 596, 3812, 630, 6518, 5654, 1318, 865, 2484, 264, 15017, 2691, 596, 1413, 693, 519, 5951, 267, 1413, 585, 519, 1974, 1063, 1141, 3388, 28197, 3294, 563, 2791, 666, 1287, 4137, 856, 519, 811, 10763, 1259, 540, 3257, 621, 543, 5635, 547, 707, 3113, 563, 763, 3113, 2488, 513, 1412, 23054, 673, 262, 3070, 543, 1522, 581, 2182, 547, 4612, 585, 811, 3665, 1806, 267, 855, 621, 2337, 547, 6166, 602, 596, 723, 519, 1318, 3070, 950, 596, 798, 621 ]

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

[ 2387, 7673, 13725, 1109, 1730, 8873, 319, 2387, 335, 272, 269, 16149, 910, 533, 273, 269, 16149, 32547, 2387, 24748, 1109, 31299, 319, 2387, 24748, 1109, 1730, 8873, 319, 2387, 335, 272, 8807, 1009, 910, 533, 273, 8807, 1009, 32547, 2387, 13725, 1109, 31299, 319, 2387, 6892, 1109, 31299, 5148, 319, 5231, 2387, 6892, 1109, 19896, 1677, 1832, 2838, 2626, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 753, 815, 10790, 311, 296, 32547, 5231, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 328, 815, 12181, 272, 1730, 282, 1775, 10922, 562, 282, 1775, 10030, 23375, 2387, 6892, 1109, 1730, 346, 319, 2387, 13725, 1109, 319, 1109, 2387, 13725, 1109, 19896, 1403, 621, 568, 711, 1434, 14584, 319, 2387, 13725, 1109, 1730, 604, 319, 25464, 320, 5157, 316, 2652, 12181, 271, 1730, 23375, 2387, 24748, 1109, 1730, 11666, 826, 1730, 32547, 5231, 2387, 13725, 1109, 19896, 5901, 782, 14622, 711, 10272, 319, 2387, 13725, 1109, 19896, 543, 3845, 607, 10790, 311, 296, 319, 2387, 13725, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 329, 815, 12181, 272, 1730, 282, 795, 10922, 562, 282, 795, 10030, 264, 2387, 2387, 13725, 1109, 1730, 346, 319, 2387, 24748, 1109, 1730, 23251, 14728, 316, 815, 10790, 311, 296, 32547, 2387, 24748, 1109, 1730, 6665, 14728, 316, 815, 12181, 271, 1730, 32547, 2387, 13725, 1109, 31299, 319, 5231, 2387, 13725, 1109, 19896, 20028, 689, 476, 603, 14584, 2387, 2387, 13725, 1109, 19896, 547, 476, 603, 568, 4642, 319, 2387, 13725, 1109, 1730, 23251, 5157, 316, 815, 12181, 271, 1730, 32547, 5231, 2387, 13725, 1109, 19896, 5269, 20313, 8900, 319, 2387, 13725, 1109, 1730, 6112, 319, 25464, 256, 336, 18994, 10387, 27679, 3890, 23375, 2387, 24748, 1109, 1730, 336, 4877, 3326, 3890, 32547, 5231, 2387, 13725, 1109, 19896, 32379, 519, 476, 603, 14584, 319, 2387, 13725, 1109, 1730, 336, 14491, 263, 1730, 2908, 319, 2387, 303, 1515, 263, 1730, 271, 1730, 267, 1775, 4297, 32547, 5231, 2387, 13725, 1109, 19896, 4032, 519, 1434, 14622, 319, 2387, 13725, 1109, 1730, 842, 319, 2387, 16591, 815, 12181, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 6112, 319, 25464, 256, 336, 18994, 10387, 27679, 3890, 23375, 2387, 13725, 1109, 1730, 346, 319, 2387, 24748, 1109, 319, 1109, 2387, 24748, 1109, 19896, 6875, 519, 1283, 3693, 319, 2387, 24748, 1109, 1730, 842, 319, 2387, 341, 815, 7117, 269, 701, 2131, 14061, 16149, 32547, 5231, 2387, 24748, 1109, 19896, 17179, 621, 319, 2387, 24748, 1109, 1730, 336, 4877, 3326, 3890, 32547, 5231, 2387, 24748, 1109, 19896, 1403, 621, 568, 2907, 10272, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 6665, 314, 341, 316, 11203, 12181, 271, 1730, 23375, 2387, 7673, 13725, 1109, 1730, 11666, 826, 1730, 32547, 2387, 24748, 1109, 1730, 6665, 314, 341, 316, 815, 12181, 272, 1730, 32547, 5231, 2387, 24748, 1109, 19896, 4032, 1434, 14622, 319, 2387, 24748, 1109, 1730, 16591, 6834, 513, 314, 341, 22049, 319, 5231, 2387, 24748, 1109, 19896, 1403, 3845, 689, 642, 628, 14584, 319, 2387, 24748, 1109, 19896, 568, 3152, 982, 20735, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 23251, 314, 341, 316, 3436, 20735, 23375, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 5231, 2387, 24748, 1109, 19896, 1403, 1079, 1434, 14622, 616, 1336, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 16591, 2652, 12181, 273, 319, 2387, 261, 261, 513, 314, 341, 316, 11203, 12181, 271, 1730, 264, 2387, 2387, 24748, 1109, 1730, 346, 319, 2387, 7673, 13725, 1109, 1730, 753, 815, 4569, 269, 2381, 263, 753, 267, 1253, 314, 341, 316, 5148, 319, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 2387, 24748, 1109, 31299, 319, 5231, 2387, 24748, 1109, 19896, 3619, 547, 782, 11105, 14622, 319, 2387, 24748, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 329, 815, 12181, 271, 1730, 282, 795, 2999, 1989, 314, 341, 4940, 21653, 3890, 282, 795, 10030, 264, 2387, 2387, 24748, 1109, 1730, 346, 319, 2387, 7673, 13725, 1109, 1730, 842, 319, 2387, 1729, 815, 1989, 314, 341, 4940, 1326, 27203, 1040, 14140, 32547, 2387, 7673, 13725, 1109, 1730, 842, 319, 2387, 7076, 815, 1989, 314, 341, 4940, 1326, 27203, 1040, 16149, 32547, 5231, 2387, 7673, 13725, 1109, 19896, 1403, 3845, 568, 1447, 319, 2387, 7673, 13725, 1109, 1730, 604, 319, 25464, 23251, 314, 341, 316, 1341, 2597, 2999, 1253, 314, 1729, 8079, 2387, 2387, 7673, 13725, 1109, 1730, 346, 319, 2387, 18987, 6892, 1109, 1730, 23251, 314, 1729, 316, 815, 1253, 314, 341, 316, 1341, 2597, 32547, 2387, 18987, 6892, 1109, 1730, 336, 14491, 263, 1730, 2908, 319, 2387, 303, 1515, 5560, 626, 314, 1729, 3910, 547, 4297, 32547, 2387, 7673, 13725, 1109, 31299, 319, 2387, 24748, 1109, 31299, 319, 2387, 13725, 1109, 31299, 319, 2387, 6892, 1109, 31299, 319, 5231, 2387, 6892, 1109, 19896, 17776, 519, 2838, 2626, 319, 2387, 6892, 1109, 1730, 8873, 319, 2387, 753, 32547, 2387, 348, 319, 5231, 2387, 2260, 30905, 3009, 319, 2387, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26514, 26571, 23375, 2387, 346, 319, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 19896, 7089, 540, 14622, 543, 8728, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 12181, 276, 1730, 267, 544, 815, 12181, 276, 1730, 32547, 5231, 2387, 6892, 1109, 1730, 287, 11045, 816, 310, 7568, 902, 1730, 263, 1730, 257, 684, 29051, 257, 1730, 23375, 2387, 6892, 1109, 1730, 26161, 8266, 26514, 1989, 815, 12181, 2908, 319, 2387, 26161, 8266, 314, 301, 22049, 319, 5231, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 328, 815, 12181, 271, 1730, 282, 1775, 2999, 715, 282, 1775, 10030, 264, 2387, 2387, 6892, 1109, 1730, 346, 319, 2387, 13725, 1109, 1730, 23950, 5157, 316, 815, 12181, 2908, 319, 2387, 26161, 8266, 3890, 32547, 2387, 6892, 1109, 31299, 319, 5231, 2387, 6892, 1109, 19896, 9577, 1289, 547, 1039, 8728, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 272, 1730, 267, 12181, 273, 1730, 267, 12181, 274, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 272, 1730, 267, 12181, 273, 1730, 267, 12181, 274, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 273, 1730, 267, 12181, 274, 1730, 267, 12181, 275, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 274, 1730, 267, 12181, 275, 1730, 267, 12181, 272, 1730, 5148, 319, 2387, 6892, 1109, 1730, 5417, 318, 8354, 14116, 337, 267, 12181, 275, 1730, 267, 12181, 276, 1730, 267, 12181, 279, 1730, 5148, 319, 5231, 2387, 6892, 1109, 19896, 7089, 540, 1434, 9136, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 330, 815, 12181, 274, 1730, 32547, 5231, 2387, 6892, 1109, 1730, 842, 1730, 26514, 513, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 301, 3910, 2387, 2387, 13725, 1109, 1730, 6665, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 301, 3910, 2387, 2387, 3396, 1741, 1109, 1730, 23251, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 301, 22049, 319, 5231, 2387, 6892, 1109, 19896, 1677, 1832, 1434, 14622, 319, 2387, 6892, 1109, 1730, 320, 314, 1730, 272, 1730, 316, 815, 513, 314, 1730, 274, 1730, 316, 815, 513, 314, 1730, 276, 1730, 316, 815, 12181, 272, 1730, 32547, 5231, 2387, 6892, 1109, 1730, 21902, 269, 719, 31428, 15238, 263, 2381, 291, 2700, 263, 319, 2387, 13725, 1109, 1730, 23950, 267, 562, 267, 1253, 267, 1471, 267, 513, 267, 737, 4297, 32547, 2387, 348, 319, 2387, 348, 319, 5231, 2387, 2260, 901, 3009, 568, 8329, 676, 7254, 329, 2465, 341, 14838, 273, 26384, 1012, 5124, 274, 692, 2387, 258, 5124, 274, 1982, 547, 1265, 519, 20125, 6292, 3772, 319, 2387, 258, 3845, 1063, 1022, 1079, 1114, 1434, 9136, 269, 319, 2387, 5228, 319, 2387, 515, 777, 336, 12181, 5814, 319, 2387, 265, 319, 5231, 2387, 301, 12181, 284, 319, 2387, 1911, 22650, 319, 2387, 7246, 311, 296, 12181, 284, 319, 2387, 15886, 15886, 4200, 1730, 32547, 5231, 2387, 258, 9577, 547, 1039, 8728, 319, 2387, 3698, 319, 2387, 5417, 318, 8354, 14116, 337, 267, 1535, 267, 586, 267, 2597, 2567, 319, 2387, 6892, 1109, 1730, 23950, 20572, 4940, 6572, 263, 630, 344, 267, 2597, 3738, 5148, 319, 2387, 6892, 1109, 1730, 23950, 314, 344, 4940, 6572, 9230, 343, 267, 2597, 4297, 32547, 5231, 2387, 258, 9577, 547, 1265, 519, 20125, 319, 2387, 258, 3845, 1063, 1022, 6292, 540, 319, 2387, 258, 1079, 1114, 1434, 9136, 319, 2387, 3698, 319, 2387, 2381, 291, 2700, 14116, 337, 267, 562, 267, 1253, 267, 1471, 267, 513, 267, 737, 2567, 319, 2387, 6892, 1109, 1730, 258, 5901, 338, 5934, 3693, 593, 1283, 319, 2387, 6892, 1109, 1730, 336, 12181, 284, 319, 2387, 515, 777, 1518, 8443, 8079, 319, 2387, 1109, 1109, 319, 1109, 2387, 6892, 1109, 1730, 258, 1677, 1832, 2838, 2626, 319, 2387, 6892, 1109, 1730, 753, 12181, 284, 319, 2387, 7246, 311, 296, 32547, 5231, 2387, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 562, 12181, 266, 319, 2387, 272, 1730, 2567, 319, 2387, 13725, 1109, 1730, 258, 1403, 621, 568, 711, 1434, 14584, 319, 2387, 13725, 1109, 1730, 604, 319, 2387, 2254, 319, 25464, 320, 5157, 316, 2567, 319, 2387, 24748, 1109, 1730, 11666, 826, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 258, 5901, 782, 14622, 711, 10272, 319, 2387, 13725, 1109, 1730, 258, 543, 3845, 607, 10790, 311, 296, 319, 2387, 13725, 1109, 1730, 1721, 319, 2387, 329, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 272, 1730, 267, 562, 12181, 266, 319, 2387, 272, 1730, 2567, 319, 2387, 24748, 1109, 1730, 23251, 14728, 316, 12181, 284, 319, 2387, 7246, 311, 296, 32547, 2387, 24748, 1109, 1730, 6665, 14728, 316, 12181, 284, 319, 2387, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 258, 20028, 689, 476, 603, 14584, 547, 476, 603, 568, 4642, 319, 2387, 13725, 1109, 1730, 23251, 5157, 316, 12181, 284, 319, 2387, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 258, 5269, 20313, 8900, 319, 2387, 13725, 1109, 1730, 336, 12181, 284, 319, 2387, 26514, 319, 5231, 2387, 13725, 1109, 1730, 258, 32379, 519, 476, 603, 14584, 319, 2387, 13725, 1109, 1730, 515, 1952, 2313, 32429, 267, 1109, 630, 1730, 271, 1730, 267, 1775, 3738, 5148, 319, 5231, 2387, 13725, 1109, 1730, 258, 4032, 519, 1434, 14622, 319, 2387, 13725, 1109, 1730, 16591, 12181, 284, 319, 2387, 271, 1730, 32547, 5231, 2387, 13725, 1109, 1730, 6112, 319, 2387, 336, 281, 319, 2387, 24748, 1109, 1730, 258, 6875, 519, 1283, 3693, 319, 2387, 24748, 1109, 1730, 341, 12181, 284, 319, 2387, 336, 314, 1730, 271, 1730, 6012, 1730, 272, 1730, 316, 319, 5231, 2387, 24748, 1109, 1730, 258, 17179, 621, 319, 2387, 24748, 1109, 1730, 515, 1952, 641, 32429, 5148, 319, 5231, 2387, 24748, 1109, 1730, 258, 1403, 621, 568, 2907, 10272, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 6665, 314, 341, 316, 2567, 319, 2387, 7673, 13725, 1109, 1730, 11666, 826, 1730, 32547, 2387, 24748, 1109, 1730, 6665, 314, 341, 316, 12181, 284, 319, 2387, 272, 1730, 32547, 2387, 24748, 1109, 319, 1109, 2387, 24748, 1109, 319, 1109, 2387, 24748, 1109, 1730, 258, 4032, 1434, 14622, 319, 2387, 24748, 1109, 1730, 16591, 12181, 266, 1730, 284, 319, 2387, 320, 314, 341, 22049, 319, 5231, 2387, 24748, 1109, 1730, 258, 1403, 3845, 689, 642, 628, 14584, 319, 2387, 24748, 1109, 1730, 258, 568, 3152, 982, 20735, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 23251, 314, 341, 316, 3436, 20735, 2567, 319, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 5231, 2387, 24748, 1109, 1730, 258, 1403, 1079, 1434, 14622, 616, 1336, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 16591, 12181, 284, 1730, 284, 319, 2387, 273, 319, 2387, 663, 319, 2387, 320, 314, 341, 316, 2567, 319, 2387, 7673, 13725, 1109, 1730, 753, 12181, 284, 319, 2387, 2381, 1730, 263, 753, 267, 1253, 314, 341, 316, 5148, 319, 2387, 7673, 13725, 1109, 1730, 19874, 1730, 32547, 5231, 2387, 24748, 1109, 1730, 258, 3619, 547, 782, 11105, 14622, 319, 2387, 24748, 1109, 1730, 1721, 319, 2387, 329, 12181, 514, 319, 2387, 9792, 1730, 263, 1730, 271, 1730, 267, 12181, 6352, 1730, 263, 23950, 314, 341, 8079, 2567, 319, 2387, 7673, 13725, 1109, 1730, 1729, 12181, 284, 319, 2387, 23950, 314, 341, 6012, 329, 6012, 1730, 271, 1730, 22049, 319, 2387, 7673, 13725, 1109, 1730 ]

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

[ 7954, 267, 1287, 649, 666, 2161, 1412, 13433, 9538, 1403, 2901, 851, 3884, 1405, 1318, 267, 1287, 621, 4991, 513, 1412, 7224, 9538, 5016, 29310, 267, 789, 8268, 519, 13300, 540, 519, 5728, 4677, 1247, 1565, 811, 827, 15819, 543, 6602, 269, 2991, 3108, 540, 1187, 267, 789, 7691, 621, 729, 3478, 3735, 269, 22582, 267, 519, 2666, 9944, 873, 3459, 24373, 269, 1323, 11895, 15993, 8118, 909, 267, 24948, 519, 14827, 10766, 269, 4256, 16012, 14951, 8604, 4503, 11014, 1813, 547, 741, 23388, 910, 30534, 547, 2638, 952, 741, 2132, 8905, 1131, 3251, 3015, 780, 11514, 1952, 31212, 2943, 8797, 267, 7665, 543, 15039, 8120, 1753, 16734, 519, 2956, 540, 6236, 1169, 2460, 540, 741, 3527, 267, 1519, 2009, 4539, 269, 901, 6397, 7045, 6026, 873, 3407, 4245, 593, 9266, 3206, 267, 8239, 267, 543, 519, 4644, 540, 22509, 697, 1312, 538, 2257, 543, 4948, 1272, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 304, 281, 589, 2243, 602, 568, 1863, 540, 1022, 21342, 610, 2845, 5632, 6959, 267, 1058, 581, 13042, 1412, 13433, 3299, 6382, 621, 1058, 581, 8612, 607, 1412, 7224, 8339, 589, 2243, 568, 19016, 1227, 2953, 952, 782, 922, 9988, 1775, 4318, 269, 17205, 267, 13450, 267, 21371, 267, 840, 21752, 267, 21770, 267, 740, 18690, 616, 693, 3617, 2990, 269, 589, 2243, 568, 25401, 2953, 952, 519, 23066, 2306, 2631, 563, 306, 27542, 281, 6628, 6368, 524, 17660, 519, 6532, 547, 8050, 538, 519, 1032, 476, 5197, 273, 267, 896, 519, 2474, 540, 519, 15521, 540, 2549, 16772, 269, 3097, 9223, 281, 1548, 5949, 1310, 519, 14097, 729, 9896, 888, 288, 912, 13433, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 8080, 547, 938, 1576, 1770, 782, 827, 24890, 543, 17049, 2835, 256, 5620, 596, 2479, 4862, 540, 513, 1433, 1373, 17049, 1354, 286, 898, 1522, 3280, 899, 1945, 856, 540, 513, 18912, 9661, 267, 855, 621, 781, 2965, 5949, 1082, 2053, 2429, 1686, 269, 1924, 1018, 1281, 621, 1611, 950, 513, 1433, 4991, 17049, 286, 4270, 267, 621, 1797, 602, 2576, 814, 4956, 602, 1004, 12582, 1405, 581, 4847, 547, 1224, 602, 1880, 1433, 1317, 789, 3494, 922, 9115, 616, 20025, 610, 5739, 538, 930, 1259, 269, 1809, 945, 16976, 799, 2835, 1205, 17049, 267, 543, 1946, 798, 789, 1589, 1978, 2835, 1058, 581, 1055, 7182, 286, 1452, 616, 1175, 930, 540, 519, 2055, 649, 3513, 2263, 1927, 538, 713, 1770, 780, 5575, 267, 1577, 781, 2911, 827, 1946, 2835, 3006, 1205, 17049, 269, 1703, 616, 6266, 540, 1114, 4128, 1946, 713, 4523, 267, 855, 1934, 616, 513, 1906, 1455, 3283, 1384, 272, 269, 5510, 2400, 5678, 281, 2368, 2835, 2270, 1893, 602, 568, 2808, 5175, 3258, 610, 18086, 269, 901, 1223, 1331, 2220, 792, 1913, 267, 7292, 1793, 2720, 267, 610, 1022, 2186, 540, 4633, 602, 568, 2938, 607, 771, 27920, 995, 610, 10413, 995, 2509, 1866, 563, 273, 269, 20222, 610, 18753, 12474, 281, 4033, 2835, 1522, 4183, 10795, 10207, 610, 8763, 11673, 540, 3023, 610, 3075, 946, 269, 4658, 945, 1616, 547, 7333, 891, 5686, 540, 2835, 1419, 8044, 602, 20392, 1453, 547, 971, 1570, 1223, 11874, 1764, 741, 1646, 563, 274, 269, 11572, 610, 16241, 27801, 338, 281, 6884, 267, 2835, 616, 17049, 1317, 789, 4161, 3964, 2797, 610, 3909, 5784, 269, 1280, 1383, 267, 513, 2229, 1522, 7333, 513, 1433, 952, 621, 10404, 3278, 519, 15194, 5428, 610, 8992, 4978, 602, 979, 1996, 4013, 14985, 563, 275, 269, 20351, 18112, 550, 566, 281, 10251, 267, 972, 616, 1869, 4025, 538, 519, 1158, 1141, 2835, 10023, 11806, 266, 3197, 610, 4798, 616, 17049, 1813, 547, 14882, 543, 7130, 780, 3086, 602, 649, 917, 930, 540, 519, 4128, 1946, 2835, 1205, 17049, 267, 1577, 781, 1413, 693, 930, 1483, 3734, 1806, 269, 2290, 4583, 2013, 3322, 513, 1433, 1572, 834, 2414, 23703, 513, 631, 20689, 2437, 2854, 676, 22489, 10557, 269, 5590, 538, 519, 1977, 3162, 1282, 519, 476, 4350, 271, 338, 267, 713, 3209, 9388, 609, 10168, 267, 22149, 267, 543, 1514, 8635, 269, 6736, 922, 3532, 5048, 827, 5126, 543, 6568, 267, 834, 2414, 23703, 513, 631, 20689, 257, 814, 1044, 13934, 610, 17049, 3875, 2053, 2094, 922, 8313, 538, 476, 3422, 271, 1107, 6140, 1813, 547, 4145, 936, 922, 26841, 540, 5198, 1894, 543, 519, 946, 540, 7292, 1793, 2720, 780, 5194, 1134, 8153, 1383, 568, 808, 6185, 269, 590, 2718, 518, 781, 5929, 4947, 6361, 21943, 1650, 267, 834, 763, 9697, 7815, 538, 519, 681, 6614, 1701, 15618, 538, 476, 4198, 272, 267, 713, 3209, 5205, 7141, 3042, 16502, 15579, 523, 595, 4954, 7615, 607, 646, 12066, 956, 609, 4606, 540, 32238, 267, 4965, 267, 543, 18326, 269, 3683, 519, 1296, 267, 834, 763, 9697, 7815, 538, 519, 681, 6614, 257, 814, 5185, 9880, 585, 922, 18367, 5717, 540, 14920, 267, 1527, 534, 640, 267, 543, 9228, 4550, 3146, 31437, 27742, 269, 1306, 513, 1267, 267, 621, 814, 4749, 7902, 593, 8638, 540, 17049, 2835, 2066, 3013, 780, 3719, 1247, 7333, 940, 2835, 1522, 3100, 899, 606, 2653, 3070, 547, 5466, 11786, 3584, 267, 621, 12651, 1271, 2055, 827, 5191, 540, 4082, 543, 7214, 15698, 269, 5808, 4991, 547, 6430, 1018, 1344, 568, 3617, 585, 721, 547, 8532, 286, 1656, 1018, 6835, 616, 649, 11488, 547, 3214, 950, 649, 2995, 873, 602, 1978, 2984, 616, 1932, 5906, 610, 9184, 5622, 547, 1224, 286, 1635, 3695, 891, 2152, 1927, 267, 649, 4126, 547, 5000, 2565, 3206, 543, 8141, 6209, 7391, 1472, 24890, 543, 519, 1379, 540, 3332, 780, 12244, 5384, 2439, 4131, 781, 2322, 6000, 538, 519, 10887, 540, 513, 524, 16428, 543, 2119, 547, 1174, 741, 5133, 269, 7994, 835, 540, 707, 5172, 2835, 267, 1287, 1711, 1614, 7440, 585, 1946, 2576, 1522, 1616, 547, 7333, 621, 269, 5457, 267, 891, 1810, 1405, 8209, 723, 547, 2992, 707, 2123, 8369, 282, 3079, 267, 4952, 1018, 1843, 687, 2576, 3116, 1522, 6318, 1759, 593, 2188, 899, 1893, 267, 5208, 267, 610, 16809, 269, 30850, 267, 2671, 707, 1592, 609, 513, 7649, 543, 1865, 2436, 596, 3858, 610, 10990, 609, 1142, 1761, 2601, 585, 7333, 940, 707, 6074, 1433, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 6221, 568, 1373, 4421, 676, 606, 10572, 590, 11839, 543, 786, 711, 6928, 689, 519, 6732, 3883, 32697, 781, 23999, 269, 634, 590, 11839, 1590, 6166, 519, 1931, 1369, 1079, 1870, 2395, 269, 1403, 519, 590, 11839, 31439, 547, 6133, 610, 14543, 547, 6166, 1369, 713, 942, 7406, 267, 1287, 519, 1931, 568, 23545, 539, 563, 8923, 581, 2386, 547, 1224, 519, 13517, 6035, 676, 519, 590, 11839, 563, 22709, 2923, 723, 3144, 519, 3059, 2490, 281, 789, 723, 1500, 519, 5912, 689, 519, 12746, 2250, 883, 938, 3059, 2104, 269, 4653, 781, 2792, 1053, 991, 513, 1433, 602, 8952, 10605, 609, 1346, 2242, 11652, 609, 741, 1378, 2833, 607, 2923, 6800, 269, 2755, 1053, 949, 581, 5432, 609, 519, 5767, 2029, 267, 9012, 1299, 9177, 666, 948, 3986, 741, 1620, 540, 875, 649, 8452, 693, 713, 1448, 267, 543, 1141, 649, 2811, 18188, 269, 634, 1007, 7160, 7710, 519, 2360, 540, 519, 3059, 2490, 609, 1007, 543, 13181, 851, 1930, 619, 602, 2007, 883, 938, 2923, 4616, 6208, 267, 513, 6216, 20642, 3184, 593, 3059, 11080, 602, 4422, 4514, 543, 2417, 982, 824, 2923, 2835, 267, 543, 606, 7471, 11473, 290, 523, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 839, 11208, 543, 645, 10165, 7734, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 16520, 29576, 1299, 26888, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 3957, 18696, 6807, 267, 5030, 2185, 2828, 910, 15207, 519, 1855, 5586, 1905, 615, 267, 24981, 519, 12565, 1740, 518, 267, 27385, 519, 590, 841, 528, 267, 543, 744, 961, 773, 519, 16368, 269, 1358, 941, 8049, 543, 27093, 3214, 945, 6068, 3695, 519, 1158, 1472, 873, 780, 3080, 1554, 267, 789, 4862, 2984, 827, 519, 1390, 17235, 534, 2782, 602, 3576, 1747, 1279, 3516, 269, 1358, 4121, 875, 519, 2112, 4957, 519, 1259, 12959, 941, 10692, 676, 10962, 1007, 4066, 899, 751, 25393, 338, 267, 7841, 1811, 267, 543, 2848, 4461, 4721, 269, 19196, 1243, 676, 891, 18563, 267, 789, 4956, 547, 1628, 741, 1378, 20538, 3631, 540, 1142, 2029, 543, 1449, 741, 7207, 780, 20755, 3240, 3710, 513, 751, 25393, 3684, 602, 1223, 6494, 6835, 2066, 1279, 9883, 14678, 269, 1261, 6045, 547, 1010, 2828, 875, 5201, 8928, 998, 12904, 543, 11438, 6835, 5488, 982, 9640, 610, 5017, 269, 24981, 4951, 1200, 2828, 875, 2178, 543, 3608, 14884, 1223, 3560, 5370, 543, 1004, 3533, 543, 9108, 936, 1279, 9883, 269, 11531, 267, 27385, 30774, 1010, 2848, 4461, 1222, 2059, 519, 5757, 267, 11744, 875, 9817, 13324, 676, 8781, 5755, 1223, 1847, 5230, 13907, 24672, 269, 14936, 267, 744, 961, 773, 3838, 8941, 540, 519, 22800, 16368, 7276, 543, 875, 621, 2899, 12199, 5318, 11182, 780, 2026, 789, 5129, 1927, 267, 789, 7691, 602, 891, 10124, 3648, 12012, 519, 6364, 540, 10617, 543, 22198, 6548, 519, 1379, 6384, 1851, 6082, 269, 3807, 899, 741, 9162, 267, 1483, 2477, 16941, 593, 891, 7760, 547, 4228, 741, 11182, 543, 2149, 2933, 1996, 14763, 269, 10251, 267, 711, 782, 23693, 15068, 891, 2242, 282, 930, 17379, 1813, 547, 4835, 2152, 543, 5007, 12503, 267, 971, 607, 519, 4617, 2287, 540, 519, 16368, 7276, 1310, 519, 17235, 534, 2782, 780, 4913, 267, 1256, 1498, 835, 10504, 8593, 267, 1776, 9782, 1765, 305, 17892, 269, 6736, 9561, 519, 4890, 4655, 267, 6576, 7307, 547, 6542, 7415, 1761, 585, 2208, 543, 1646, 269, 1635, 12561, 5499, 2853, 543, 10115, 538, 4108, 18175, 10232, 267, 6576, 2968, 513, 23773, 3196, 547, 22672, 517, 609, 267, 18534, 12686, 519, 2518, 11466, 2943, 1586, 780, 2414, 741, 9983, 267, 1247, 4730, 267, 519, 1895, 4362, 602, 741, 5916, 3646, 3366, 547, 6397, 4539, 269, 4634, 1498, 9039, 5497, 547, 546, 996, 337, 821, 744, 961, 773, 781, 11537, 12228, 30689, 267, 519, 9283, 1500, 538, 2792, 267, 6283, 267, 543, 17825, 6038, 8329, 547, 13346, 519, 3666, 540, 1379, 269, 1306, 789, 2322, 2476, 741, 9162, 267, 519, 1453, 10630, 2390, 519, 10347, 16799, 1063, 3356, 543, 2245, 267, 16734, 602, 3006, 5647, 666, 1291, 547, 27644, 4093, 269, 1656, 865, 267, 938, 2370, 12325, 4797, 1565, 543, 3395, 267, 1620, 602, 1169, 2962, 814, 513, 5114, 267, 4259, 1055, 513, 5832, 540, 2621, 3056, 547, 2901, 10103, 610, 19261, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 24685, 1018, 2081, 1705, 519, 17235, 534, 2782, 1764, 519, 2518, 3666, 540, 1379, 1282, 519, 476, 866, 628, 2540, 888, 763, 17235, 534, 2782, 1185, 1713, 5222, 593, 519, 2518, 3666, 540, 1379, 1282, 519, 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 ]

[ 540, 621, 666, 2014, 2042, 269, 1879, 621, 4991, 14095, 1927, 267, 621, 7140, 883, 4672, 799, 666, 581, 31868, 2044, 543, 5906, 269, 1924, 267, 3006, 649, 991, 547, 4894, 930, 540, 621, 3010, 9617, 1287, 267, 972, 729, 513, 10978, 1212, 752, 4553, 676, 513, 16154, 3544, 269, 589, 1804, 7936, 1185, 7745, 1055, 896, 519, 2597, 540, 519, 6777, 543, 15468, 5196, 519, 4155, 17527, 6808, 256, 15526, 538, 519, 4055, 3154, 6244, 267, 4849, 585, 2370, 15039, 945, 804, 11474, 31113, 780, 257, 32452, 256, 6733, 693, 602, 256, 16176, 568, 5863, 10590, 1352, 608, 13094, 269, 4173, 15131, 4769, 1405, 6474, 3025, 3116, 781, 8710, 610, 6161, 269, 769, 1249, 267, 1256, 1498, 789, 6956, 1946, 6004, 269, 9652, 6569, 519, 6777, 267, 1100, 835, 1185, 4397, 971, 513, 10565, 17431, 540, 922, 1761, 12178, 780, 4517, 3976, 267, 15039, 4121, 827, 1312, 519, 5898, 543, 829, 559, 540, 6777, 267, 26354, 606, 2038, 1719, 538, 14368, 1108, 910, 519, 1353, 540, 4365, 9259, 269, 6736, 519, 6397, 10071, 267, 1352, 1869, 6068, 8384, 519, 6777, 4148, 1389, 2887, 267, 6616, 1631, 811, 982, 2479, 602, 1169, 2067, 3693, 814, 1079, 5011, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2237, 519, 1985, 4845, 538, 713, 5037, 1384, 288, 1126, 29167, 693, 513, 6885, 1247, 513, 812, 13964, 568, 15524, 767, 532, 6777, 269, 646, 692, 13510, 9005, 3681, 912, 328, 269, 4422, 1472, 7432, 519, 6777, 267, 5969, 621, 14961, 883, 2462, 25862, 269, 3248, 4512, 269, 7575, 1394, 543, 8521, 267, 16116, 909, 6777, 543, 3001, 621, 2476, 689, 519, 7450, 269, 3248, 13839, 269, 15211, 1524, 519, 24383, 543, 6763, 538, 1899, 609, 1866, 593, 519, 3268, 269, 3248, 643, 269, 2306, 621, 782, 519, 1259, 1524, 519, 24383, 543, 2501, 1394, 547, 519, 8254, 269, 3248, 4512, 269, 7575, 1394, 543, 8521, 267, 16116, 909, 6777, 543, 3001, 621, 2476, 689, 519, 7450, 780, 15008, 281, 634, 812, 568, 15524, 767, 532, 6777, 267, 799, 1797, 646, 568, 21757, 6777, 689, 519, 1858, 269, 8382, 13797, 6941, 713, 2962, 1317, 646, 568, 16116, 909, 519, 6777, 543, 3001, 621, 2476, 689, 519, 7450, 269, 8382, 1775, 568, 4636, 1317, 7432, 519, 6777, 883, 2462, 25862, 3085, 1405, 1118, 2631, 950, 3843, 547, 2312, 519, 6777, 269, 8382, 25831, 543, 17488, 616, 4636, 1317, 789, 2446, 519, 812, 6972, 1524, 24383, 543, 7555, 538, 3515, 267, 799, 1810, 1405, 9305, 547, 15524, 767, 532, 6777, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 277, 281, 12426, 3562, 6874, 762, 9721, 28690, 692, 7072, 912, 5331, 9361, 693, 513, 18241, 3349, 538, 513, 844, 5593, 13962, 512, 26786, 2476, 538, 519, 12902, 3039, 15113, 540, 8581, 269, 1411, 1413, 1524, 693, 707, 6676, 543, 1294, 513, 10477, 5044, 540, 4195, 5388, 267, 13035, 5779, 267, 543, 23599, 11922, 269, 3962, 11116, 28377, 609, 8137, 267, 543, 596, 666, 1405, 948, 855, 4898, 1141, 782, 891, 8949, 5820, 3357, 689, 269, 4270, 267, 1577, 803, 2995, 596, 910, 789, 2693, 3357, 2786, 689, 519, 3484, 547, 707, 3349, 256, 901, 1523, 568, 1572, 834, 325, 1301, 3562, 2389, 762, 2437, 799, 1797, 602, 22730, 2707, 741, 5820, 12725, 267, 1419, 2324, 5702, 609, 6705, 945, 1332, 1426, 1210, 4264, 2409, 269, 4653, 267, 649, 786, 2263, 713, 2856, 998, 519, 7828, 540, 2757, 9721, 11951, 269, 1924, 10544, 707, 24203, 976, 543, 1205, 4712, 547, 1451, 827, 930, 9735, 8286, 2439, 4089, 476, 272, 281, 1548, 1772, 12426, 3562, 6874, 762, 2496, 2691, 621, 2501, 547, 5986, 267, 972, 616, 1082, 2081, 547, 1265, 543, 5965, 5820, 269, 2290, 1259, 568, 676, 27126, 3536, 2047, 689, 2199, 11396, 267, 849, 1634, 607, 3484, 3562, 2389, 762, 18226, 269, 1635, 3257, 713, 267, 29397, 1489, 7404, 4213, 1247, 4180, 602, 519, 5820, 789, 946, 616, 607, 4195, 543, 2635, 607, 2009, 269, 3509, 14060, 1631, 2259, 3484, 3562, 2389, 762, 1317, 1004, 1616, 547, 917, 811, 827, 1018, 789, 3548, 543, 875, 621, 5222, 1312, 741, 4703, 543, 519, 1604, 269, 1879, 1426, 3085, 1405, 723, 547, 2951, 2484, 9883, 267, 7864, 2200, 616, 1031, 267, 1818, 713, 1505, 1732, 585, 12624, 3047, 1932, 2439, 12244, 281, 5620, 1053, 1382, 1114, 2010, 540, 3132, 6738, 538, 741, 3148, 543, 1711, 513, 1592, 540, 1761, 8286, 789, 1223, 1118, 1210, 1346, 3688, 269, 11559, 5876, 2439, 4089, 476, 273, 281, 12465, 9721, 2598, 1127, 3619, 12426, 3562, 6874, 762, 692, 296, 516, 1633, 814, 513, 3638, 11477, 1686, 4904, 609, 4313, 532, 12403, 338, 267, 29902, 533, 625, 267, 543, 11423, 3694, 338, 269, 2060, 922, 22465, 2916, 543, 726, 550, 3814, 11811, 267, 8581, 19646, 2357, 323, 656, 8916, 3501, 585, 3395, 5613, 267, 19787, 267, 9274, 267, 543, 9870, 13184, 269, 2368, 5929, 9721, 10346, 4324, 7494, 950, 1500, 1210, 12725, 1606, 712, 1027, 5820, 269, 2913, 781, 1491, 513, 6251, 1413, 693, 1614, 2442, 3283, 1384, 272, 269, 2701, 23311, 781, 26629, 281, 17214, 5097, 609, 2666, 23758, 610, 14132, 267, 17436, 267, 17112, 267, 543, 12277, 267, 1352, 23311, 781, 2650, 3587, 3063, 2027, 950, 5423, 1210, 6371, 1922, 539, 5779, 543, 12119, 5388, 689, 7404, 11396, 563, 273, 269, 2051, 322, 27553, 281, 901, 11792, 1117, 15837, 8670, 4991, 3773, 1166, 1515, 609, 25989, 610, 22648, 1094, 583, 2946, 539, 538, 13342, 543, 7423, 269, 4635, 4195, 16719, 13603, 1175, 3108, 1354, 2306, 897, 322, 27553, 6492, 11212, 7524, 563, 274, 269, 590, 18649, 29968, 281, 23875, 20054, 19471, 14614, 3694, 3636, 856, 540, 519, 14089, 269, 26157, 2898, 10568, 7912, 267, 11256, 14614, 267, 6070, 267, 543, 855, 3410, 20488, 5932, 513, 2241, 2943, 17598, 3138, 2378, 1655, 10150, 1793, 9312, 609, 4195, 8645, 2044, 7423, 269, 6733, 585, 2199, 10683, 3681, 547, 3986, 519, 1995, 2439, 12244, 281, 7420, 1053, 547, 30712, 835, 540, 891, 2757, 9721, 8286, 1210, 5820, 1336, 1369, 741, 2146, 269, 1403, 2009, 267, 5000, 11564, 547, 16027, 781, 6990, 610, 32296, 2199, 11396, 2047, 780, 6962, 912, 3528, 8508, 519, 3484, 3562, 2389, 762, 6138, 267, 649, 1831, 4448, 711, 1152, 547, 938, 6980, 855, 849, 547, 519, 2244, 543, 1004, 3743, 585, 6721, 938, 1426, 269, 1306, 8049, 29397, 267, 1565, 827, 6237, 32345, 2636, 721, 547, 5660, 2686, 3604, 1247, 14120, 3838, 2833, 1472, 519, 12129, 3349, 269, 6787, 596, 2661, 538, 14297, 25212, 610, 12560, 570, 23124, 776, 267, 3314, 602, 6220, 2199, 10366, 883, 11537, 10346, 2337, 8190, 19644, 5389, 1247, 14637, 1560, 267, 2247, 267, 543, 6891, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 312, 4888, 294, 5085, 288, 918, 269, 681, 15477, 2207, 4811, 454, 15771, 5588, 5308, 15760, 8863, 305, 3041, 2316, 20911, 27946, 298, 10976, 630, 5183, 294, 2464, 476, 1556, 268, 1704, 994, 288, 1279, 532, 585, 4276, 538, 513, 8978, 25708, 269, 589, 7287, 547, 2671, 513, 6612, 585, 519, 6575, 269, 634, 561, 675, 540, 513, 476, 866, 628, 2540, 1920, 4630, 652, 1737, 269, 3245, 4683, 547, 6917, 267, 543, 689, 1279, 28004, 547, 6216, 1007, 267, 1169, 1507, 1870, 538, 20523, 700, 2378, 599, 8291, 814, 513, 19918, 2123, 2601, 585, 8380, 1524, 5072, 1934, 269, 3371, 616, 519, 5169, 2984, 585, 2947, 540, 873, 563, 13975, 715, 269, 14520, 628, 853, 1421, 700, 2378, 599, 8291, 454, 3721, 7315, 773, 543, 18281, 1546, 1188, 731, 267, 5411, 540, 966, 10679, 339, 20769, 639, 22878, 267, 5030, 593, 3131, 12541, 22971, 585, 8370, 1296, 1354, 3001, 547, 513, 7178, 2515, 30834, 1707, 269, 968, 2171, 5612, 5433, 865, 1033, 3737, 267, 1256, 609, 938, 18638, 1869, 538, 4884, 2223, 5153, 7315, 773, 3081, 563, 9824, 20814, 741, 1870, 689, 918, 1601, 3578, 9335, 547, 519, 2295, 540, 519, 2749, 267, 519, 7008, 12306, 883, 741, 1007, 2007, 338, 269, 3973, 5153, 7315, 773, 1185, 513, 16540, 269, 968, 16352, 7802, 547, 2511, 1250, 7218, 538, 5433, 899, 513, 2067, 6521, 267, 1510, 1373, 865, 11566, 602, 594, 7948, 1406, 960, 1250, 10344, 607, 1134, 2223, 1352, 3081, 563, 301, 22022, 1079, 1296, 3516, 267, 8496, 11146, 645, 719, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 1301, 3562, 6874, 762, 9721, 28690, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 9721, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 27620, 5004, 538, 8837, 267, 4481, 3695, 519, 1686, 543, 4720, 540, 17927, 13355, 7384, 3457, 3056, 909, 547, 2413, 16389, 269, 4197, 519, 1646, 540, 891, 3457, 666, 1683, 3407, 2796, 585, 5883, 519, 3309, 5044, 540, 13020, 1023, 543, 17960, 4122, 4448, 547, 4207, 8837, 1949, 780, 6524, 519, 4417, 540, 3020, 16389, 267, 972, 11478, 513, 7121, 540, 5985, 5904, 1634, 607, 13869, 339, 3591, 630, 528, 13869, 9008, 7193, 338, 1040, 1452, 11741, 267, 17426, 3457, 7153, 1282, 519, 3735, 476, 2735, 271, 338, 543, 7283, 2442, 2394, 1472, 476, 1220, 278, 950, 16389, 899, 519, 11197, 21236, 3323, 11543, 20086, 269, 9282, 1419, 5219, 547, 30430, 607, 1688, 18988, 610, 13869, 9008, 5904, 267, 621, 568, 1898, 547, 1174, 741, 2189, 4162, 780, 21595, 31198, 3591, 3622, 12286, 3710, 2987, 1883, 15236, 543, 13234, 1210, 1808, 5665, 1949, 971, 607, 667, 5308, 2861, 610, 8837, 9460, 5867, 269, 20905, 4881, 8837, 9460, 1223, 1256, 2196, 26987, 16365, 8747, 540, 3156, 2966, 585, 18376, 8837, 1949, 269, 11531, 267, 7435, 18988, 7193, 338, 267, 5189, 676, 9786, 538, 476, 1960, 277, 267, 6719, 513, 811, 4359, 1106, 3815, 3379, 547, 5929, 13869, 339, 3591, 269, 1358, 1630, 16556, 3677, 13819, 543, 3152, 4393, 1379, 1247, 1869, 4509, 2823, 1464, 269, 1717, 267, 1813, 547, 3656, 2962, 3144, 676, 26054, 267, 5549, 1421, 9786, 17146, 2509, 5009, 519, 2165, 834, 21652, 18988, 7193, 2437, 3927, 23243, 873, 689, 13869, 339, 3591, 780, 2026, 5018, 5892, 267, 1082, 13869, 339, 3591, 16941, 593, 28106, 5665, 1949, 3358, 12799, 585, 741, 3908, 8800, 7207, 269, 901, 3510, 3366, 547, 2591, 950, 12394, 547, 1921, 891, 3457, 547, 2123, 5904, 4881, 2407, 1922, 1194, 3022, 13013, 525, 899, 9049, 5937, 5308, 610, 8837, 269, 9182, 267, 9367, 1185, 547, 1711, 2688, 10256, 543, 3301, 20848, 547, 7520, 2792, 1063, 13869, 339, 3591, 543, 3984, 6191, 269, 3683, 942, 267, 2705, 267, 6639, 7760, 4847, 9755, 547, 16491, 2663, 3631, 609, 18292, 4296, 543, 29402, 1489, 267, 1818, 1239, 5385, 4443, 2066, 1585, 5867, 780, 24137, 4464, 547, 2221, 781, 5251, 267, 1141, 8837, 5170, 547, 20441, 519, 18376, 2344, 5103, 18979, 6735, 689, 5672, 5308, 543, 12380, 14778, 269, 2060, 519, 4473, 540, 14164, 630, 25542, 540, 12085, 264, 3457, 267, 5957, 1963, 267, 543, 5985, 31942, 787, 267, 5883, 782, 891, 19635, 1439, 9557, 814 ]

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

[ 8266, 4590, 825, 1268, 815, 1268, 19152, 9638, 8266, 994, 825, 942, 815, 942, 19152, 4590, 825, 1587, 815, 8605, 263, 28128, 284, 4067, 267, 2179, 284, 1598, 263, 26920, 13211, 4449, 8587, 942, 284, 5503, 267, 2344, 284, 14337, 267, 1268, 284, 17367, 994, 825, 4688, 29410, 9638, 6055, 284, 28237, 994, 825, 1820, 2891, 763, 1587, 568, 10805, 15419, 3698, 2132, 29410, 10031, 825, 1820, 2891, 11767, 476, 272, 28560, 519, 1587, 723, 1100, 8919, 14826, 11767, 476, 273, 28560, 519, 1587, 723, 8919, 14826, 11767, 476, 274, 28560, 519, 1587, 568, 30465, 22812, 2897, 14826, 11767, 476, 275, 269, 2414, 2132, 1394, 5602, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 4590, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 4444, 29410, 2891, 5591, 318, 9377, 624, 5602, 2018, 2736, 454, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 4444, 29410, 2891, 9377, 624, 5602, 2018, 2736, 454, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 4444, 29410, 2891, 11847, 8529, 270, 3725, 31419, 5602, 2018, 2736, 454, 1038, 8640, 4971, 2652, 834, 275, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 1152, 7396, 1297, 257, 9239, 3698, 4688, 29410, 9638, 6055, 2187, 825, 1007, 5263, 815, 17093, 6910, 9638, 6055, 14857, 18743, 1029, 267, 11716, 16229, 18989, 994, 825, 1007, 5263, 30419, 32269, 3488, 2908, 318, 1873, 3424, 318, 21466, 27406, 3299, 4994, 25716, 9239, 3698, 2949, 21809, 2065, 263, 28128, 267, 1268, 2187, 825, 952, 1268, 912, 1038, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 2018, 4266, 20988, 815, 17093, 314, 4206, 10422, 3205, 2652, 1073, 329, 2639, 2018, 8228, 263, 28128, 284, 28128, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 994, 1038, 3116, 912, 2018, 585, 522, 538, 1073, 329, 912, 3546, 4266, 20988, 815, 17093, 314, 4206, 10422, 3205, 2652, 522, 2639, 3546, 8228, 263, 28128, 284, 334, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 994, 2018, 2698, 10574, 20988, 815, 17093, 314, 4206, 10422, 3205, 18994, 514, 263, 28128, 22708, 2018, 8228, 263, 28128, 6889, 23087, 2580, 1268, 284, 17367, 267, 4266, 5263, 284, 20135, 10574, 20988, 994, 825, 3116, 912, 1038, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 2018, 4266, 20988, 815, 17093, 314, 4206, 269, 30606, 338, 2652, 1073, 329, 2639, 2018, 8228, 263, 28128, 284, 28128, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 994, 1038, 3116, 912, 2018, 585, 522, 538, 1073, 329, 912, 3546, 4266, 20988, 815, 17093, 314, 4206, 269, 30606, 338, 2652, 522, 2639, 3546, 8228, 263, 28128, 284, 334, 267, 1268, 284, 17367, 267, 4266, 5263, 284, 11845, 20988, 9239, 3698, 1808, 29410, 3528, 30606, 28442, 267, 17093, 321, 18989, 2187, 825, 952, 1826, 29254, 321, 264, 2652, 536, 944, 912, 1038, 17093, 321, 815, 17093, 454, 825, 1239, 815, 17093, 321, 314, 4206, 321, 269, 30606, 338, 2652, 2012, 2639, 825, 4444, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 24246, 262, 4940, 8649, 870, 27904, 15405, 825, 6133, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 306, 749, 262, 4940, 8649, 870, 27904, 15405, 825, 8919, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 9377, 624, 262, 4940, 8649, 870, 27904, 15405, 825, 2611, 815, 4444, 910, 6133, 910, 8919, 454, 825, 2132, 630, 321, 8500, 267, 6133, 267, 8919, 267, 2611, 9239, 3698, 1808, 29410, 3528, 31094, 9638, 3205, 267, 17093, 321, 18989, 2187, 825, 952, 1826, 29254, 321, 264, 2652, 536, 944, 912, 1038, 17093, 321, 815, 17093, 454, 825, 1239, 815, 17093, 321, 314, 4206, 321, 10422, 3205, 2652, 1268, 2639, 825, 4444, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 24246, 262, 4940, 8649, 870, 27904, 15405, 825, 6133, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 306, 749, 262, 4940, 8649, 870, 27904, 15405, 825, 8919, 815, 703, 16597, 314, 11907, 8160, 1046, 564, 2652, 1412, 9377, 624, 262, 4940, 8649, 870, 27904, 15405, 825, 2611, 815, 4444, 910, 6133, 1341, 8919, 454, 825, 2132, 630, 321, 8500, 267, 6133, 267, 8919, 267, 2611, 9239, 3698, 1808, 29410, 3528, 14630, 5560, 622, 267, 1073, 329, 267, 1268, 2187, 825, 952, 1826, 5560, 622, 264, 2652, 24042, 912, 1038, 7173, 5263, 815, 17093, 314, 4206, 11053, 830, 13843, 4266, 314, 271, 27663, 1038, 1985, 5263, 815, 7173, 5263, 314, 2181, 341, 5263, 11053, 830, 10922, 4266, 314, 272, 27663, 1038, 952, 1268, 912, 2018, 4266, 5263, 815, 1985, 5263, 314, 10113, 5263, 10422, 3205, 2652, 1073, 329, 2639, 1038, 3116, 912, 2018, 4266, 5263, 815, 1985, 5263, 314, 10113, 5263, 269, 30606, 338, 2652, 1073, 329, 2639, 825, 3116, 912, 1038, 10859, 5263, 815, 17093, 314, 4206, 11053, 830, 2652, 4266, 2639, 1038, 952, 1268, 912, 2018, 4266, 5263, 815, 10859, 5263, 314, 9895, 328, 5263, 10422, 3205, 2652, 1073, 329, 2639, 1038, 3116, 912, 2018, 4266, 5263, 815, 10859, 5263, 314, 9895, 328, 5263, 269, 30606, 338, 2652, 1073, 329, 2639, 825, 2132, 4266, 5263, 7531, 3698, 2921, 14630, 10031, 825, 1820, 2891, 11767, 634, 5729, 281, 19515, 825, 1032, 815, 3403, 13425, 3488, 20204, 5073, 825, 1820, 2891, 11767, 634, 13600, 281, 19515, 825, 3923, 815, 3403, 13425, 3488, 24629, 5073, 825, 1820, 2891, 11767, 634, 11261, 281, 19515, 825, 1554, 815, 3403, 13425, 3488, 1485, 5073, 825, 4266, 815, 942, 19152, 2891, 346, 18511, 346, 18511, 24001, 2668, 8971, 12169, 792, 267, 3923, 267, 1554, 4917, 825, 2132, 4266, 7531, 3698, 1808, 14630, 21809, 2065, 263, 28128, 267, 1268, 2187, 825, 4266, 815, 2921, 14630, 4590, 825, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 1038, 4266, 5263, 815, 1808, 29410, 3528, 14630, 5560, 622, 284, 11845, 267, 1073, 329, 284, 28128, 267, 1268, 284, 17367, 994, 1038, 8228, 263, 28128, 267, 1268, 267, 4266, 5263, 994, 825, 3116, 912, 1038, 585, 522, 538, 1073, 329, 912, 2018, 4266, 5263, 815, 1808, 29410, 3528, 14630, 5560, 622, 284, 11845, 267, 1073, 329, 284, 334, 267, 1268, 284, 17367, 994, 2018, 8228, 263, 334, 267, 1268, 267, 4266, 5263, 9239, 3698, 8228, 263, 28128, 267, 1268, 267, 4266, 5263, 2187, 825, 1820, 4590, 825, 1820, 263, 28128, 1341, 27719, 333, 5602, 825, 4444, 815, 476, 271, 454, 825, 6133, 815, 476, 271, 454, 825, 8919, 815, 476, 271, 454, 825, 6967, 815, 476, 271, 454, 825, 952, 1268, 912, 1038, 1820, 2891, 30606, 8745, 29146, 29146, 24246, 29146, 306, 749, 29146, 9377, 624, 29146, 7230, 8724, 5602, 1038, 522, 8266, 815, 1843, 8266, 4590, 1038, 585, 522, 538, 522, 8266, 912, 2018, 1587, 815, 1808, 29410, 3528, 30606, 263, 334, 267, 17093, 321, 284, 11845, 5263, 994, 2018, 4444, 6834, 1587, 314, 271, 2639, 2018, 6133, 6834, 1587, 314, 272, 2639, 2018, 8919, 6834, 1587, 314, 273, 2639, 2018, 6967, 6834, 1587, 314, 274, 2639, 2018, 1820, 2891, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 24001, 2668, 8971, 18692, 3546, 522, 267, 2608, 28237, 4917, 825, 3116, 912, 1038, 1820, 2891, 31094, 29146, 24246, 29146, 306, 749, 29146, 9377, 624, 29146, 7230, 8724, 5602, 1038, 533, 8266, 815, 1268, 8266, 4590, 1038, 585, 533, 538, 533, 8266, 912, 2018, 1587, 815, 1808, 29410, 3528, 31094, 9638, 267, 17093, 321, 284, 11845, 5263, 994, 2018, 4444, 6834, 1587, 314, 271, 2639, 2018, 6133, 6834, 1587, 314, 272, 2639, 2018, 8919, 6834, 1587, 314, 273, 2639, 2018, 6967, 6834, 1587, 314, 274, 2639, 2018, 1820, 2891, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 24001, 2668, 8971, 18692, 3546, 533, 267, 2608, 28237, 4917, 825, 1820, 4590, 825, 1820, 2891, 13707, 29146, 346, 4153, 339, 346, 4153, 339, 346, 4153, 339, 24001, 2668, 8971, 6357, 8500, 267, 6133, 267, 8919, 267, 6967, 4917, 825, 1820, 30800, 3698, 2039, 8170, 14630, 21809, 2065, 263, 28128, 267, 1268, 2187, 825, 1820, 2891, 5804, 5602, 825, 7173, 14630, 815, 2921, 14630, 4590, 825, 1820, 2891, 2414, 5602, 825, 1985, 14630, 815, 2921, 14630, 4590, 825, 952, 1826, 263, 28128, 264, 2652, 1193, 912, 1038, 4266, 5263, 815, 1808, 29410, 3528, 14630, 18692, 2018, 4266, 14352, 2181, 341, 14630, 267, 1985, 14630, 1070, 1073, 329, 284, 28128, 267, 1268, 284, 17367, 994, 1038, 8228, 263, 28128, 267, 1268, 267, 4266, 5263, 994, 825, 3116, 912, 1038, 585, 522, 538, 1073, 329, 912, 2018, 4266, 5263, 815, 1808, 29410, 3528, 14630, 18692, 3546, 4266, 14352, 2181, 341, 14630, 267, 1985, 14630, 1070, 1073, 329, 284, 334, 267, 1268, 284, 17367, 994, 2018, 8228, 263, 334, 267, 1268, 267, 4266, 5263, 9239, 3698, 1397, 21809, 2065, 10031, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 827, 27014, 14826, 11767, 476, 273, 269, 2414, 917, 827, 12287, 14826, 11767, 476, 274, 269, 2414, 2132, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 1843, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 1268, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 8307, 519, 18169, 257, 9239, 3698, 1843, 14813, 334, 10031, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 827, 17266, 8629, 14826, 11767, 476, 273, 269, 2414, 917, 827, 13038, 27014, 14826, 11767, 476, 274, 269, 2414, 917, 827, 2353, 27014, 14826, 11767, 476, 275, 269, 2414, 1205, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 2582, 30606, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 2789, 30606, 338, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 782, 30606, 338, 14813, 334, 4590, 1038, 8640, 4971, 2652, 834, 275, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 8307, 519, 18169, 257, 9239, 3698, 1205, 14630, 263, 28128, 267, 1268, 2187, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 16930, 11261, 11314, 14826, 11767, 476, 273, 269, 2414, 917, 2039, 540, 11261, 11314, 14826, 11767, 476, 274, 269, 2414, 917, 15788, 11314, 14826, 11767, 476, 275, 269, 2414, 1205, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 1808, 14630, 21809, 2065, 263, 28128, 267, 1268, 994, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018, 2039, 8170, 14630, 21809, 2065, 263, 28128, 267, 1268, 994, 1038, 8640, 4971, 2652, 834, 274, 13426, 2018, 2949, 21809, 2065, 263, 28128, 267, 1268, 994, 1038, 8640, 4971, 2652, 834, 275, 13426, 2018, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 8923, 9373, 8307, 519, 18169, 257, 9239, 3698, 2582, 30606, 14813, 334, 9638, 3205, 25716, 2187, 825, 952, 1268, 912, 1038, 533, 8266, 815, 1268, 8266, 4590, 1038, 1073, 329, 815, 1268, 19152, 9638, 8266, 267, 9623, 18989, 994, 825, 3116, 912, 1038, 522, 8266, 815, 1843, 8266, 4590, 1038, 1073, 329, 815, 1843, 19152, 263, 334, 8266, 994, 825, 1205, 14630, 263, 28128, 267, 1268, 9239, 3698, 2789, 30606, 338, 14813, 334, 9638, 3205, 25716, 2187, 825, 1073, 329, 815, 6936, 454, 825, 1073, 329, 8266, 815, 11713, 825, 1247, 1073, 329, 912, 1038, 952, 1268, 912, 2018, 533, 8266, 815, 1268, 8266, 4590, 2018, 1073, 329, 815, 1268, 19152, 9638, 8266, 267, 3818, 18989, 994, 2018, 1073, 329, 8266, 6910, 263, 28128, 994, 1038, 3116, 912, 2018, 522, 8266, 815, 1843, 8266, 4590, 2018, 1073, 329, 815, 1843, 19152, 263, 334, 8266, 267, 3818, 18989, 994, 2018, 1073, 329, 8266, 6910, 263, 28128, 994, 825, 1205, 14630, 263, 28128, 284, 28128, 8266, 11468, 268, 272, 3910, 1268, 284, 17367, 9239, 3698, 782, 30606, 338, 14813, 334, 9638, 3205, 25716, 2187, 825, 952, 1268, 912, 1038, 1073, 329, 815, 1268, 8266, 4590, 825, 3116, 912, 1038, 1073, 329, 815, 1843, 8266, 4590, 825, 1205, 14630, 263, 28128, 284, 28128, 267, 1268, 284, 17367, 9239, 3698, 1268, 14813, 334, 10031, 825, 1247, 6936, 912, 1038, 4971, 815, 3403, 18692, 2018, 834, 11767, 476, 272, 269, 2414, 917, 827, 17266, 12287, 14826, 11767, 476, 273, 269, 2414, 917, 827, 13038, 4658, 14826, 11767, 476, 274, 269, 2414, 917, 827, 2353, 4658, 14826, 11767, 476, 275, 269, 2414, 1205, 1394, 14826, 5602, 1038, 952, 4971, 2652, 834, 272, 13426, 2018, 2582, 30606, 14813, 334, 263, 12148, 994, 1038, 8640, 4971, 2652, 834, 273, 13426, 2018 ]

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

[ 741, 1808, 2115, 269, 1358, 786, 1451, 602, 9647, 11893, 860, 923, 666, 1521, 5312, 9647, 31517, 2175, 1510, 519, 991, 585, 2101, 9647, 31517, 6391, 267, 2972, 513, 2656, 6051, 543, 22919, 519, 2298, 540, 1272, 602, 789, 17330, 563, 291, 3464, 269, 18332, 808, 269, 29124, 543, 6307, 589, 269, 19264, 778, 540, 5842, 17630, 13106, 11893, 860, 923, 6481, 6828, 1927, 723, 6707, 5701, 5215, 540, 2550, 609, 1591, 2861, 11257, 585, 811, 982, 1614, 5756, 269, 1358, 616, 3370, 4589, 543, 6565, 1591, 3173, 269, 634, 12676, 6865, 294, 9744, 538, 2961, 3149, 21112, 3568, 519, 1034, 4359, 3204, 17654, 6925, 2029, 538, 5842, 17630, 543, 3091, 1482, 1554, 5574, 609, 519, 5207, 1377, 540, 3106, 267, 12117, 543, 3461, 9547, 269, 0, 12709, 1315, 28950, 807, 454, 14532, 1299, 9177, 454, 306, 10095, 807, 3778, 1299, 9177, 454, 763, 1686, 540, 28950, 807, 7389, 1394, 1082, 5553, 607, 835, 540, 519, 9510, 9467, 6082, 538, 519, 1158, 269, 901, 568, 1813, 547, 519, 7580, 4087, 2059, 519, 23795, 540, 5101, 4000, 536, 867, 1359, 519, 13323, 540, 1520, 523, 267, 519, 4414, 7256, 543, 519, 4095, 7909, 269, 25214, 267, 28950, 807, 814, 930, 540, 519, 5763, 5006, 9467, 16788, 799, 1331, 519, 631, 690, 611, 880, 340, 2823, 267, 1631, 936, 513, 8536, 1296, 2025, 543, 824, 8037, 16788, 971, 607, 918, 1143, 599, 334, 267, 7137, 828, 320, 267, 18548, 553, 334, 267, 30330, 320, 543, 519, 3504, 2823, 540, 14858, 10042, 563, 26576, 814, 1279, 5129, 513, 2101, 1909, 538, 519, 2528, 540, 28950, 807, 267, 609, 5771, 538, 519, 2197, 6580, 1394, 547, 519, 2038, 5736, 540, 519, 4984, 1472, 519, 18749, 2540, 269, 15845, 540, 713, 666, 581, 1336, 538, 28950, 807, 779, 8978, 267, 5553, 6040, 9923, 13196, 269, 1452, 1331, 519, 14858, 10042, 9923, 4302, 630, 300, 553, 329, 573, 4432, 1627, 7441, 622, 523, 2235, 320, 476, 7785, 1070, 609, 922, 10058, 1079, 1295, 732, 1206, 267, 835, 602, 8188, 13243, 543, 519, 824, 267, 3710, 2663, 267, 602, 8188, 2725, 17433, 269, 16952, 9923, 13196, 616, 1336, 538, 7137, 828, 320, 267, 670, 2378, 684, 543, 782, 519, 1259, 547, 631, 690, 611, 880, 340, 267, 30330, 320, 267, 4446, 320, 933, 543, 918, 1143, 599, 334, 269, 3509, 540, 519, 1034, 8037, 9923, 13196, 538, 28950, 807, 971, 607, 1488, 9346, 685, 320, 681, 4157, 684, 538, 631, 690, 611, 880, 340, 630, 15132, 320, 476, 14695, 280, 1070, 519, 11016, 17018, 4302, 540, 30330, 320, 630, 15132, 320, 476, 8182, 280, 264, 543, 674, 752, 337, 740, 5937, 514, 538, 631, 690, 611, 880, 340, 630, 15132, 320, 476, 14695, 280, 264, 941, 519, 1152, 9923, 13196, 538, 5101, 4000, 547, 723, 1295, 732, 1206, 563, 8253, 2406, 267, 28950, 807, 814, 1279, 1044, 1634, 607, 513, 968, 301, 566, 540, 7313, 1115, 892, 1317, 540, 519, 24622, 8932, 1004, 779, 6612, 543, 9744, 585, 519, 19621, 6575, 269, 634, 2259, 540, 6965, 2968, 2647, 3262, 1813, 547, 519, 9930, 19631, 2470, 540, 519, 24622, 8932, 2245, 543, 3976, 267, 11488, 6835, 547, 835, 1776, 7444, 9927, 883, 513, 19621, 2511, 607, 891, 11430, 3740, 1913, 941, 4443, 547, 3314, 585, 519, 28034, 563, 306, 10095, 807, 568, 849, 1634, 585, 922, 29143, 1709, 540, 519, 4342, 601, 267, 513, 1883, 6293, 585, 519, 9930, 19631, 1272, 267, 799, 7018, 1063, 519, 3791, 543, 2034, 26992, 7460, 269, 901, 2259, 540, 29143, 1709, 1131, 2663, 3262, 547, 3504, 5527, 543, 883, 3345, 4000, 269, 9147, 26007, 540, 4342, 1564, 666, 581, 1336, 538, 519, 4224, 1148, 538, 519, 13946, 21272, 540, 5487, 553, 2983, 601, 267, 630, 277, 267, 1822, 268, 736, 267, 1822, 8536, 1032, 2025, 1070, 543, 616, 519, 9510, 26007, 540, 4342, 1564, 1851, 2038, 1004, 563, 25387, 267, 28950, 807, 814, 519, 4102, 2551, 540, 4342, 1564, 540, 1022, 1367, 2197, 538, 519, 1158, 267, 476, 1691, 2929, 269, 12751, 18666, 540, 28950, 807, 1331, 4342, 1564, 607, 1134, 607, 824, 13184, 267, 554, 1938, 267, 3165, 267, 543, 20397, 269, 28950, 807, 779, 4346, 568, 7361, 1759, 593, 13184, 2073, 3335, 8051, 585, 20733, 540, 476, 2412, 260, 540, 12654, 543, 476, 2004, 260, 540, 13143, 15271, 269, 1717, 267, 6683, 568, 1776, 1271, 5823, 540, 519, 4346, 454, 2414, 4266, 267, 28950, 807, 814, 513, 2551, 540, 5111, 476, 1428, 2929, 1004, 1369, 1200, 10665, 267, 543, 5111, 476, 1015, 2929, 538, 15231, 2477, 267, 543, 5176, 476, 273, 2929, 538, 519, 6820, 4144, 23159, 269, 6168, 476, 1015, 260, 540, 602, 24622, 8932, 4144, 23159, 2661, 1369, 519, 2136, 2276, 563, 8698, 28950, 807, 1686, 543, 2528, 454, 8138, 2466, 513, 7662, 585, 6351, 267, 538, 2013, 540, 1022, 6595, 596, 1522, 7237, 1282, 707, 12599, 563, 8138, 2466, 707, 2951, 3877, 1354, 596, 2951, 547, 5512, 721, 547, 3914, 596, 538, 2013, 540, 1022, 6595, 538, 519, 2197, 596, 616, 10707, 547, 269, 0, 763, 15746, 4679, 269, 901, 3948, 568, 20483, 909, 676, 8579, 2963, 267, 543, 18367, 569, 267, 1034, 1004, 616, 31464, 547, 2731, 1118, 519, 4674, 547, 4161, 621, 269, 1717, 267, 609, 519, 12614, 540, 4965, 267, 519, 2009, 4539, 2333, 269, 1280, 1870, 267, 519, 1292, 12343, 1131, 581, 519, 6727, 543, 3500, 2333, 538, 3747, 585, 31520, 267, 2523, 607, 811, 543, 811, 1004, 786, 991, 873, 269, 634, 824, 2042, 2404, 609, 519, 2068, 267, 971, 607, 1280, 1383, 267, 20026, 267, 8942, 547, 2170, 609, 519, 1158, 543, 4126, 585, 6051, 666, 581, 1360, 2352, 269, 2201, 513, 811, 2123, 1377, 267, 2705, 267, 4965, 666, 849, 1831, 835, 540, 519, 1919, 602, 1118, 2576, 3479, 11980, 563, 22296, 20141, 4555, 543, 519, 20537, 520, 657, 1950, 798, 711, 4096, 593, 2576, 7092, 689, 4965, 269, 4340, 547, 930, 7194, 267, 1034, 11980, 2665, 616, 1759, 811, 593, 4250, 610, 2123, 29359, 982, 4376, 3116, 269, 4033, 2009, 3123, 666, 849, 581, 2808, 267, 971, 607, 10178, 1738, 1143, 543, 513, 2489, 855, 11566, 4743, 540, 27945, 1145, 269, 4634, 952, 2576, 568, 711, 20158, 267, 602, 1268, 949, 723, 4555, 540, 11980, 543, 666, 6038, 1118, 513, 27290, 3375, 269, 19452, 267, 1175, 1373, 20158, 3884, 1406, 2614, 547, 1205, 2576, 547, 3479, 11980, 269, 1703, 616, 1896, 2188, 547, 2015, 538, 519, 19979, 5626, 3575, 602, 5932, 11980, 267, 855, 602, 3085, 1406, 1611, 602, 4965, 1058, 581, 16053, 610, 3274, 14593, 11735, 267, 607, 602, 779, 711, 519, 968, 15927, 9409, 892, 540, 519, 9183, 563, 763, 5626, 2360, 540, 4965, 1058, 711, 581, 19765, 13846, 269, 2368, 2090, 723, 3254, 602, 513, 1804, 1297, 540, 11980, 2665, 723, 267, 610, 2408, 547, 723, 267, 1185, 4791, 4965, 538, 519, 2250, 269, 4658, 945, 1831, 20158, 949, 711, 2141, 581, 593, 3758, 1317, 789, 723, 6074, 547, 22036, 519, 1966, 2864, 982, 3343, 3318, 948, 269, 1717, 267, 513, 6251, 1413, 693, 519, 8823, 540, 2828, 543, 1920, 2356, 2982, 602, 519, 1268, 814, 11124, 689, 519, 2068, 4505, 538, 741, 1272, 267, 1256, 952, 789, 723, 711, 1500, 1866, 3222, 540, 621, 269, 2755, 621, 568, 711, 1634, 2436, 4965, 666, 9888, 267, 972, 616, 930, 945, 3494, 602, 519, 3441, 2944, 1281, 711, 28201, 936, 942, 543, 949, 581, 15427, 676, 824, 2188, 693, 513, 2663, 942, 269, 2986, 1576, 267, 713, 568, 1152, 25127, 543, 7058, 1740, 267, 607, 621, 10355, 4523, 547, 1491, 513, 2673, 1413, 693, 875, 513, 11980, 2013, 5433, 538, 922, 2063, 2395, 269, 6271, 2460, 547, 2015, 568, 519, 2783, 666, 3362, 1831, 513, 18463, 585, 513, 1268, 779, 6530, 547, 1491, 1256, 811, 3441, 269, 634, 2009, 2427, 2360, 540, 15860, 4965, 666, 3382, 513, 3099, 540, 17867, 543, 2790, 4713, 269, 901, 267, 5916, 609, 519, 3929, 13438, 1419, 2404, 609, 519, 7099, 540, 519, 20158, 267, 666, 1118, 1256, 519, 13581, 652, 3787, 540, 24178, 795, 629, 6883, 1360, 5906, 269, 4400, 25774, 3871, 666, 2417, 22652, 513, 1268, 779, 2790, 1533, 267, 2523, 950, 519, 1268, 779, 2790, 1072, 2042, 616, 5702, 1644, 547, 741, 2702, 547, 960, 896, 2604, 269, 769, 891, 2665, 267, 519, 5626, 1533, 540, 519, 1268, 568, 2907, 513, 7904, 7566, 7848, 267, 543, 621, 568, 10703, 22133, 602, 24254, 513, 5114, 689, 835, 540, 519, 968, 4818, 7859, 892, 666, 1291, 547, 4555, 540, 11980, 267, 4352, 5007, 5208, 568, 849, 2693, 454, 21900, 657, 3177, 676, 623, 1410, 1564 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 8827, 24998, 2187, 825, 1219, 13074, 21595, 30308, 4311, 267, 521, 2187, 1038, 1376, 815, 476, 271, 454, 1038, 1439, 815, 476, 271, 454, 1038, 1219, 4228, 4433, 267, 3847, 267, 2431, 2187, 2018, 1247, 263, 3847, 285, 284, 271, 543, 1318, 283, 6352, 4433, 264, 543, 521, 314, 3847, 316, 2525, 338, 314, 2431, 316, 2187, 3546, 2451, 284, 3847, 268, 272, 454, 3546, 1318, 284, 2431, 266, 272, 454, 2018, 2132, 1318, 268, 3847, 268, 272, 454, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 1820, 9217, 994, 2018, 561, 272, 815, 4228, 4433, 267, 328, 267, 328, 994, 2018, 561, 273, 815, 4228, 4433, 267, 328, 267, 328, 266, 272, 994, 2018, 561, 815, 3193, 10857, 272, 267, 331, 273, 994, 2018, 952, 561, 285, 754, 3613, 691, 912, 3546, 1376, 815, 1775, 24179, 331, 268, 272, 8358, 273, 454, 3546, 1439, 815, 1775, 266, 331, 270, 273, 454, 1038, 2132, 521, 314, 11034, 281, 754, 266, 272, 2639, 11357, 815, 8827, 4590, 2745, 4433, 889, 7456, 784, 652, 21595, 30308, 2891, 321, 21171, 257, 4297, 0, 258, 684, 1664, 10092, 454, 3698, 10092, 9852, 19885, 2187, 825, 737, 815, 20886, 271, 585, 1775, 538, 2039, 3799, 13580, 585, 795, 538, 2039, 9852, 22708, 825, 585, 1775, 538, 2039, 9852, 2187, 1038, 737, 5157, 6012, 271, 24557, 272, 454, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 737, 314, 271, 6012, 328, 24557, 272, 454, 825, 585, 1775, 538, 2039, 263, 272, 31599, 2187, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 737, 5157, 6012, 329, 316, 815, 737, 5157, 268, 272, 6012, 329, 27994, 330, 5157, 6012, 329, 268, 272, 2639, 825, 2132, 737, 314, 332, 268, 272, 6012, 333, 268, 272, 2639, 2745, 9638, 23411, 263, 274, 267, 273, 4917, 8931, 0, 5035, 5903, 11966, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 7407, 267, 10113, 22561, 2187, 1038, 1582, 27841, 284, 7407, 454, 1038, 1582, 12785, 284, 10113, 692, 3698, 4783, 20172, 2187, 825, 952, 3597, 2525, 14085, 610, 3597, 12785, 2525, 14085, 912, 1038, 2132, 8771, 454, 825, 533, 13700, 272, 815, 3597, 454, 825, 533, 13700, 273, 815, 3597, 12785, 454, 825, 1247, 533, 13700, 272, 256, 284, 696, 337, 273, 912, 1038, 1820, 263, 696, 337, 273, 27841, 267, 696, 337, 273, 12785, 994, 1038, 952, 533, 13700, 273, 2525, 14085, 610, 533, 13700, 273, 12785, 2525, 14085, 912, 2018, 2132, 8771, 454, 1038, 533, 13700, 272, 815, 533, 13700, 272, 12785, 454, 1038, 533, 13700, 273, 815, 533, 13700, 273, 12785, 12785, 454, 825, 2132, 6936, 692, 331, 272, 815, 5903, 11966, 263, 273, 994, 331, 273, 815, 5903, 11966, 263, 272, 267, 331, 272, 994, 331, 274, 815, 5903, 11966, 263, 275, 267, 331, 273, 994, 331, 275, 815, 5903, 11966, 263, 274, 267, 331, 274, 994, 331, 272, 12785, 815, 561, 275, 692, 2745, 263, 12860, 10857, 273, 4297, 0, 5814, 4351, 454, 5035, 8827, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 15358, 2187, 1038, 1582, 15126, 815, 15358, 454, 1038, 1582, 3820, 1400, 815, 1592, 25225, 994, 13872, 825, 1219, 19268, 4311, 2187, 1038, 1582, 15126, 815, 1592, 4311, 3820, 1400, 994, 1038, 2132, 1582, 15126, 28329, 825, 1219, 695, 28984, 4311, 2187, 1038, 10917, 815, 476, 1592, 4311, 15126, 994, 1038, 585, 1775, 538, 2039, 12759, 4311, 15126, 15892, 2018, 4894, 10983, 815, 4351, 20120, 9792, 12759, 6025, 11391, 4917, 2018, 1582, 15126, 5157, 24557, 10917, 21014, 263, 24525, 10983, 994, 1038, 2132, 1582, 15126, 28329, 333, 4548, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 2639, 28128, 815, 8827, 25225, 994, 12407, 318, 272, 815, 1073, 329, 269, 637, 564, 4590, 2745, 263, 12407, 318, 272, 994, 12407, 318, 273, 815, 1073, 329, 11075, 28984, 4590, 2745, 263, 12407, 318, 273, 994, 2745, 263, 28128, 269, 637, 564, 31156, 5035, 8827, 273, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 15358, 2187, 1038, 1582, 15126, 815, 15358, 454, 1038, 1582, 3820, 1400, 815, 1592, 25225, 994, 13872, 825, 1219, 19268, 4311, 2187, 1038, 1582, 15126, 815, 1592, 4311, 3820, 1400, 994, 1038, 2132, 1582, 15126, 28329, 825, 1219, 695, 28984, 4311, 2187, 1038, 585, 1775, 538, 2039, 12759, 4311, 15126, 15892, 2018, 23396, 10983, 815, 4351, 20120, 9792, 9217, 267, 6352, 4311, 15126, 4917, 2018, 1582, 15126, 5157, 3910, 1345, 15126, 314, 1873, 777, 10983, 24557, 1582, 15126, 314, 1873, 777, 10983, 3910, 1345, 15126, 5157, 2639, 1038, 2132, 1582, 15126, 692, 333, 4548, 273, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 28128, 273, 815, 8827, 25225, 273, 994, 12407, 318, 272, 815, 1073, 329, 273, 269, 637, 564, 4590, 2745, 263, 12407, 318, 272, 994, 12407, 318, 273, 815, 1073, 329, 273, 11075, 28984, 4590, 2745, 263, 12407, 318, 273, 994, 2745, 263, 28128, 273, 269, 637, 564, 28829, 0, 5035, 19219, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 7407, 267, 3847, 22561, 267, 2431, 22561, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 454, 3698, 1377, 318, 4650, 20172, 2187, 825, 952, 3597, 11203, 7183, 912, 1038, 20313, 815, 1496, 10174, 2639, 825, 3116, 912, 1038, 20313, 815, 11713, 825, 561, 815, 11713, 825, 1247, 20313, 11203, 1496, 14158, 1038, 561, 6910, 8443, 27161, 27841, 585, 6843, 538, 20313, 952, 6843, 256, 284, 14085, 7481, 1038, 20313, 815, 1496, 27161, 585, 1775, 538, 20313, 585, 6843, 538, 630, 328, 16000, 267, 1775, 16192, 264, 952, 6843, 2639, 825, 2132, 561, 692, 29728, 815, 19219, 263, 274, 994, 29728, 16000, 815, 19219, 263, 280, 994, 29728, 16192, 815, 19219, 263, 736, 994, 29728, 16192, 16000, 815, 19219, 263, 1428, 994, 29728, 16192, 16192, 815, 19219, 263, 278, 994, 2745, 263, 24038, 318, 4650, 6025, 872, 4297, 0, 4580, 815, 672, 1496, 454, 476, 1496, 271, 267, 272, 267, 271, 16689, 476, 1496, 271, 267, 271, 267, 272, 16689, 476, 1496, 272, 267, 272, 267, 272, 16689, 476, 1496, 271, 267, 271, 267, 271, 2639, 2639, 3698, 3014, 1993, 5158, 29033, 2187, 825, 12543, 815, 27883, 272, 267, 271, 32140, 271, 267, 272, 1070, 8987, 272, 267, 271, 32140, 271, 16427, 272, 32140, 272, 267, 272, 1070, 8987, 272, 16427, 272, 32140, 272, 16427, 272, 1070, 8987, 272, 267, 272, 22708, 825, 9343, 815, 7003, 29033, 994, 825, 9587, 815, 7003, 29033, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 4900, 2187, 1038, 585, 795, 538, 2039, 263, 3712, 8435, 2187, 2018, 2661, 318, 31371, 26092, 815, 476, 271, 454, 2018, 585, 737, 538, 12543, 912, 3546, 678, 815, 1775, 266, 330, 314, 271, 2639, 3546, 524, 815, 795, 266, 330, 314, 272, 2639, 3546, 952, 630, 337, 285, 284, 271, 543, 678, 283, 4900, 264, 543, 630, 322, 285, 284, 271, 543, 524, 283, 3712, 8435, 264, 543, 2612, 29033, 314, 337, 6012, 322, 8079, 2525, 272, 912, 7386, 2661, 318, 31371, 26092, 815, 2661, 318, 31371, 26092, 266, 272, 454, 2018, 952, 4604, 5157, 6012, 329, 316, 2525, 272, 543, 2661, 318, 31371, 26092, 283, 273, 610, 2661, 318, 31371, 26092, 285, 274, 912, 3546, 4604, 5157, 6012, 329, 316, 15871, 272, 454, 2018, 952, 4604, 5157, 6012, 329, 316, 2525, 271, 543, 2661, 318, 31371, 26092, 285, 274, 912, 3546, 4604, 5157, 6012, 329, 24557, 273, 454, 825, 585, 1775, 538, 2039, 263, 4900, 2187, 1038, 585, 795, 538, 2039, 263, 3712, 8435, 2187, 2018, 952, 4604, 5157, 6012, 329, 316, 285, 271, 912, 3546, 4604, 5157, 6012, 329, 24557, 272, 454, 2018, 3116, 912, 3546, 4604, 5157, 6012, 329, 24557, 271, 692, 18524, 1993, 5158, 29033, 994, 2745, 29033, 264, 0, 9795, 815, 1496, 454, 476, 1496, 272, 267, 273, 267, 274, 267, 275, 16689, 476, 1496, 276, 267, 272, 267, 273, 267, 274, 16689, 476, 1496, 280, 267, 276, 267, 272, 267, 273, 2639, 2639, 3698, 751, 25959, 3700, 263, 9795, 2187, 825, 585, 678, 538, 2039, 12759, 263, 9795, 15892, 1038, 585, 524, 538, 2039, 12759, 263, 9795, 314, 271, 8079, 2187, 2018, 952, 678, 285, 271, 543, 524, 285, 271, 543, 5119, 314, 337, 268, 272, 6012, 322, 268, 272, 316, 256, 284, 9795, 314, 337, 6012, 322, 14158, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 2745, 263, 974, 25959, 3700, 263, 9795, 4297, 0, 258, 1297, 17902, 423, 354, 376, 10563, 507, 377, 424, 500, 368, 424, 482, 506, 454, 5976, 1930, 3488, 15893, 17902, 12887, 337, 10807, 607, 535, 912, 825, 3515, 815, 535, 18667, 6050, 10797, 258, 1820, 263, 6050, 2020, 6050, 18622, 2091, 10797, 5976, 1930, 3488, 15893, 23631, 2091, 17902, 12887, 342, 10807, 607, 535, 912, 825, 535, 9884, 761, 3894, 263, 6050, 2020, 258, 19804, 591, 23631, 2091, 17902, 423, 350, 506, 10563, 510, 478, 28990, 354, 2336, 258, 275, 454, 258, 274, 454, 258, 273, 454, 258, 272, 454, 258, 271, 0, 3698, 536, 944, 19304, 2187, 825, 952, 1193, 2652, 1412, 12148, 12466, 1038, 2132, 6936, 454, 825, 952, 1193, 2652, 1412, 16178, 12466, 1038, 2132, 8771, 454, 0, 258, 22322, 258, 901, 568, 519, 1482, 1966, 607, 834, 291, 2700, 26057, 594, 257, 4849, 602, 3079, 540, 454, 258, 1152, 2348, 547, 4308, 609, 9352, 4054, 267, 519, 7084, 12134, 596, 547, 454, 258, 1711, 10297, 585, 782, 3529, 11708, 563, 16482, 258, 769, 519, 20125, 1790, 987, 522, 20432, 4330, 538, 12448, 7108, 6199, 781, 454, 258, 5967, 267, 1142, 6843, 814, 513, 6003, 267, 799, 568, 513, 1592, 540, 930, 824, 454, 258, 9136, 538, 519, 3060, 543, 741, 3845, 547, 891, 9136, 269, 476, 1452, 8638, 454, 258, 723, 519, 3959, 602, 454, 16482, 258, 476, 630, 272, 264, 585, 1022, 6292, 540, 9136, 630, 343, 11971, 264, 538, 519, 3060, 267, 741, 8638, 786, 454, 258, 476, 723, 693, 2547, 835, 6843, 1990, 538, 1455, 454, 16482, 258, 476, 630, 273, 264, 519, 20125, 2619, 689, 1535, 547, 586, 786, 979, 998, 1990, 563, 258, 3097, 258, 9717, 513, 3113, 717, 602, 568, 513, 3529, 267, 840, 15263, 519, 3113, 547, 454, 258, 1711, 971, 10297, 585, 1142, 6843, 269, 476, 8074, 602, 519, 2450, 540, 519, 1592, 538, 454, 258, 1142, 6003, 1058, 711, 581, 3677, 982, 2845, 562, 585, 513, 3113, 540, 2450, 562, 563, 258, 692, 16482, 258, 1711, 9078, 629, 1564, 3217, 538, 513, 3529, 543, 7024, 513, 8675, 267, 11837, 1142, 454, 258, 6843, 547, 922, 6003, 454, 16482, 258, 513, 6003, 568, 513, 8675, 11837, 1776, 6843, 543, 519, 3845, 547, 454, 258, 602, 6843, 454, 16482, 5228, 5299, 1104, 2620, 32476, 692, 3698, 1711, 9078, 629, 1564, 6025, 872, 294, 2187, 8931, 825, 1948, 8073, 513, 5299, 547, 2061, 4657, 2450, 540, 3312, 3113, 563, 825, 3529, 294, 32476, 815, 2620, 32476, 6025, 872, 294, 994, 825, 10297, 815, 31460, 8931, 825, 1247, 7003, 6025, 872, 294, 32476, 264, 3436, 476, 271, 912, 13872, 1038, 1948, 17292, 513, 4448, 3113, 543, 1265, 922, 4099, 563, 1038, 4448, 294, 815, 2620, 32476, 6600, 785, 318, 8588, 14682, 1429, 6025, 872, 294, 32476, 4917, 1038, 524, 13700, 815, 4099, 17045, 263, 8588, 294, 994, 13872, 1038, 1948, 4855, 519, 10297, 689, 602, 4099, 269, 8585, 613, 609, 4540, 10297, 563, 1038, 1007, 9078, 629, 1564, 815, 1205, 9078, 629, 1564, 263, 8588, 294, 267, 524, 13700, 994, 1038, 10297, 815, 19467, 9078, 629, 1564, 10857, 629, 1564, 267, 1007, 9078, 629, 1564, 994, 8931, 1038, 1948, 17179, 519, 4099, 689, 519, 3113, 563, 1038, 585, 562, 1962, 538, 4448, 294, 314, 551, 337, 14158, 2018, 2736, 9078, 1074, 6025, 872, 294, 32476, 267, 524, 13700, 267, 562, 1962, 994, 1038, 1642, 3529, 294, 32476, 314, 551, 337, 2639, 13872, 1038, 1948, 19244, 519, 8520, 2394, 782, 9136, 723, 1044, 10272, 543, 6569, 563, 13872, 825, 2132, 10297, 692, 3698, 1265, 318, 8588, 14682, 1429, 31855, 2187, 8931, 825, 1948, 17292, 1022, 3597, 563, 825, 3597, 815, 717, 269, 12399, 3890, 314, 271, 316, 3097, 8931, 825, 1948, 2422, 645, 12396, 547, 29906, 519, 3113, 267, 4358, 693, 602, 3597, 563, 825, 4448, 294, 815, 2715, 10174, 281, 717, 314, 10174, 316, 8679, 825, 1930, 8217, 815, 1496, 10174, 2639, 825, 1247, 7003, 263, 13449, 8217, 264, 3436, 476, 271 ]

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

[ 5930, 21738, 1382, 1895, 27180, 1007, 6419, 3889, 585, 838, 842, 16361, 3156, 454, 1556, 269, 1015, 269, 1001, 277, 1923, 29312, 717, 9790, 6199, 268, 26536, 28059, 6301, 345, 454, 19575, 571, 9724, 22795, 723, 5189, 1007, 7399, 538, 23678, 1324, 16600, 325, 710, 3889, 267, 543, 3744, 616, 1631, 849, 14236, 875, 547, 946, 873, 547, 1696, 577, 2890, 560, 23461, 883, 6094, 4837, 269, 1703, 616, 2009, 3156, 538, 12642, 630, 18350, 593, 513, 13863, 264, 543, 2523, 538, 11418, 543, 519, 7082, 5823, 267, 1141, 1390, 1719, 814, 1044, 3254, 563, 1607, 1007, 1505, 729, 4535, 540, 513, 9670, 7613, 281, 23735, 11868, 4837, 538, 513, 1880, 1259, 609, 606, 16600, 9724, 8955, 814, 519, 1198, 540, 1818, 519, 4837, 909, 547, 513, 2483, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 3047, 7070, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 6713, 7177, 0, 1103, 513, 4579, 16516, 547, 2196, 2394, 476, 1001, 278, 267, 930, 476, 25396, 6467, 20610, 543, 936, 476, 280, 267, 1822, 15202, 2609, 616, 547, 581, 18175, 24612, 538, 1899, 609, 519, 3864, 21541, 6513, 3590, 630, 4953, 5425, 1916, 5415, 982, 3368, 540, 519, 3515, 728, 5907, 4559, 13859, 616, 547, 581, 13324, 14311, 676, 3859, 2281, 543, 786, 4061, 581, 1648, 1582, 1606, 11211, 269, 22702, 547, 606, 10380, 540, 6671, 3435, 267, 713, 786, 1267, 538, 1379, 9806, 585, 590, 17668, 540, 936, 476, 25616, 267, 1822, 4893, 578, 3430, 3620, 2293, 513, 1032, 269, 634, 1931, 568, 4502, 513, 2698, 540, 24843, 10219, 2929, 543, 849, 6227, 1489, 585, 519, 8704, 15202, 1949, 936, 513, 1974, 540, 476, 1839, 1296, 563, 307, 1778, 1852, 1949, 7110, 519, 7298, 6786, 1031, 547, 1217, 5721, 10256, 2436, 789, 666, 8399, 543, 519, 3432, 693, 799, 789, 949, 2951, 269, 6270, 1949, 849, 10141, 6786, 676, 5925, 543, 267, 952, 519, 9920, 1281, 711, 2746, 267, 8850, 4019, 519, 26039, 540, 519, 5721, 269, 1703, 616, 4867, 1472, 476, 736, 22424, 26702, 5721, 1852, 1949, 538, 946, 593, 2342, 781, 16456, 338, 269, 1306, 513, 12343, 267, 21525, 582, 1161, 1419, 723, 547, 581, 23564, 693, 10665, 269, 634, 21180, 5425, 5932, 513, 3044, 543, 568, 1031, 585, 782, 1007, 19698, 269, 7102, 18175, 10232, 540, 4540, 3950, 543, 14884, 616, 5645, 856, 607, 2838, 563, 293, 3166, 609, 519, 991, 547, 22010, 922, 4540, 15202, 1949, 267, 590, 17668, 1904, 539, 547, 6467, 547, 21180, 5425, 269, 2290, 2101, 4161, 568, 547, 5372, 4540, 5721, 1852, 1949, 1510, 513, 1379, 3761, 269, 1452, 4196, 547, 10141, 513, 2698, 540, 1614, 6786, 2443, 834, 7883, 2437, 834, 1805, 641, 2437, 543, 834, 23219, 940, 257, 2443, 547, 519, 5721, 3842, 6419, 15632, 269, 1677, 4194, 713, 1966, 267, 13961, 655, 839, 814, 2919, 513, 3515, 728, 5907, 1770, 9280, 609, 3859, 2281, 602, 5352, 6190, 1648, 547, 10141, 1344, 563, 1607, 3070, 711, 1152, 6971, 2949, 5201, 4616, 855, 849, 17990, 519, 1942, 540, 16459, 15791, 547, 936, 476, 276, 267, 1822, 15202, 2609, 269, 769, 2127, 1141, 811, 1950, 1239, 267, 971, 607, 3432, 1344, 267, 814, 547, 581, 10299, 267, 6671, 3515, 728, 5907, 4559, 723, 1044, 8704, 269, 634, 22010, 786, 849, 2936, 513, 3044, 585, 519, 6467, 613, 541, 8704, 538, 476, 25396, 6467, 20610, 267, 1141, 1614, 5481, 540, 2029, 616, 538, 946, 563, 7804, 269, 7439, 6975, 1306, 7770, 321, 1066, 1676, 1923, 13961, 655, 839, 16743, 21158, 454, 31880, 2803, 1417, 554, 860, 1429, 344, 281, 5455, 2056, 519, 1158, 540, 6211, 9196, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 12548, 3557, 2160, 454, 12441, 596, 917, 602, 18342, 8022, 568, 606, 1898, 851, 540, 16669, 5478, 888, 1839, 269, 1015, 269, 1001, 277, 1923, 4173, 30906, 32201, 2775, 717, 3387, 295, 454, 19575, 571, 9724, 22795, 723, 5189, 1007, 7399, 538, 23678, 1324, 16600, 325, 710, 3889, 267, 543, 3744, 616, 1631, 849, 14236, 875, 547, 946, 873, 547, 1696, 577, 2890, 560, 23461, 883, 6094, 4837, 269, 1703, 616, 2009, 3156, 538, 12642, 630, 18350, 593, 513, 13863, 264, 543, 2523, 538, 11418, 543, 519, 7082, 5823, 267, 1141, 1390, 1719, 814, 1044, 3254, 563, 1607, 1007, 1505, 729, 4535, 540, 513, 9670, 7613, 281, 23735, 11868, 4837, 538, 513, 1880, 1259, 609, 606, 16600, 9724, 8955, 814, 519, 1198, 540, 1818, 519, 4837, 909, 547, 513, 2483, 307, 5028, 615, 16379, 29835, 540, 5697, 12627, 21513, 5012, 547, 606, 2500, 6419, 2361, 602, 11479, 17396, 8095, 5163, 454, 6944, 13764, 6198, 3601, 676, 1769, 568, 835, 540, 519, 6264, 3853, 538, 2413, 27772, 2339, 6323, 543, 2326, 2257, 269, 589, 1007, 1353, 1631, 9727, 875, 2483, 12867, 689, 519, 4659, 585, 17747, 17270, 630, 296, 304, 290, 264, 693, 519, 2160, 540, 4826, 31846, 3366, 519, 1646, 540, 513, 1007, 970, 839, 1043, 11443, 4480, 5827, 540, 9013, 21367, 532, 7061, 11353, 267, 8204, 513, 1713, 1900, 2509, 547, 519, 20185, 540, 513, 27249, 7061, 2780, 563, 10454, 7061, 23094, 568, 513, 11443, 1505, 602, 3096, 1614, 8820, 12904, 1759, 593, 5614, 2000, 1933, 539, 20382, 547, 2232, 1367, 844, 23605, 2437, 1767, 22819, 3240, 645, 2946, 13568, 514, 267, 513, 12854, 2483, 1103, 513, 1957, 538, 11660, 18614, 267, 513, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 6257, 513, 3209, 1769, 19840, 17300, 7613, 602, 1223, 1831, 519, 4493, 585, 3156, 607, 3309, 607, 18784, 18951, 17680, 13827, 543, 811, 3608, 3859, 2281, 563, 288, 1382, 2319, 693, 1937, 31569, 12443, 23855, 545, 4659, 630, 310, 18444, 264, 814, 2919, 513, 12316, 267, 1769, 19840, 17300, 19202, 6289, 24899, 22683, 1570, 602, 666, 581, 1031, 2483, 3528, 3196, 2685, 32750, 1079, 13339, 8444, 538, 513, 14776, 5119, 267, 9995, 807, 3173, 723, 7152, 585, 519, 1101, 942, 593, 513, 2582, 13863, 782, 519, 3334, 2877, 547, 1711, 513, 7061, 8115, 547, 3095, 7061, 5904, 1927, 563, 257, 10144, 723, 2907, 3710, 1507, 7061, 5904, 2437, 3081, 9995, 807, 11001, 24138, 6682, 778, 334, 269, 834, 28646, 519, 1101, 3730, 835, 4465, 1405, 581, 513, 2582, 9649, 7061, 2780, 2483, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1691, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1321, 269, 1015, 269, 1001, 277, 1923, 7926, 5240, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 3047, 7070, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 5295, 543, 15379, 7177, 454, 1839, 269, 1015, 269, 1001, 277, 1923, 6713, 7177, 0, 6124, 8111, 26367, 13661, 1734, 4039, 6636, 540, 16661, 21023, 687, 454, 306, 14954, 523, 779, 1007, 2706, 26367, 585, 4365, 20925, 786, 7494, 2087, 12605, 10727, 269, 1323, 8476, 543, 3532, 12985, 10189, 267, 3358, 2523, 585, 519, 2115, 540, 519, 16528, 25561, 1670, 543, 10281, 25233, 4659, 267, 15382, 26980, 267, 568, 1631, 8704, 693, 519, 2817, 8111, 26367, 4741, 267, 715, 17092, 267, 521, 1243, 693, 13017, 7238, 4771, 2160, 563, 763, 1007, 2780, 1062, 267, 1572, 2349, 4869, 538, 8956, 540, 922, 17500, 1922, 770, 4393, 267, 18271, 1007, 12985, 2409, 547, 9472, 2244, 543, 4262, 4365, 2175, 269, 634, 4365, 7422, 602, 1683, 519, 3403, 1239, 585, 32065, 303, 267, 10230, 4365, 11236, 267, 616, 8246, 811, 3927, 982, 538, 519, 2250, 269, 634, 20925, 2203, 568, 8476, 609, 513, 942, 10155, 3815, 602, 4188, 338, 2250, 543, 1459, 7422, 547, 18783, 519, 4365, 3510, 609, 3152, 8856, 563, 2108, 18719, 1386, 11837, 568, 513, 10421, 585, 4824, 3589, 1464, 267, 2523, 950, 649, 616, 3843, 547, 18783, 519, 1646, 540, 11626, 1244, 11306, 1079, 2395, 6619, 5608, 6941, 700, 1513, 670, 7564, 1375, 5658, 267, 14368, 6048, 693, 15382, 26980, 563, 19102, 2084, 569, 10427, 26398, 3747, 2147, 804, 719, 538, 4393, 1379, 269, 634, 4365, 20925, 1761, 568, 24009, 676, 1533, 6361, 7308, 1148, 4393, 12588, 267, 6913, 538, 2490, 998, 4359, 8800, 543, 3301, 2029, 269, 634, 1007, 2780, 1062, 538, 13017, 7238, 4771, 568, 1500, 909, 540, 513, 12440, 540, 6252, 21932, 269, 901, 6189, 4267, 11593, 547, 519, 3665, 7569, 585, 10398, 601, 1456, 1239, 543, 5528, 547, 519, 12985, 4559, 563, 10527, 4365, 1790, 9438, 532, 2706, 26367, 568, 3483, 32472, 269, 1849, 13831, 19383, 723, 2097, 547, 519, 2062, 1317, 789, 1683, 3532, 543, 2500, 4393, 7207, 693, 513, 5266, 1970, 3902, 269, 634, 2817, 8111, 26367, 4741, 568, 2907, 6444, 607, 513, 2062, 14725, 1676, 538, 12440, 681, 22936, 543, 6388, 585, 4365, 20925, 269, 901, 5969, 12967, 4365, 9472, 2504, 1062, 568, 5812, 609, 938, 5692, 547, 1683, 519, 14368, 1670, 2146, 609, 18368, 8013, 3435, 5608, 3081, 513, 20938, 570, 3073, 5500, 674, 1314, 26408, 267, 1788, 9614, 693, 715, 17092, 563, 763, 2349, 4869, 2780, 1062, 729, 27358, 676, 715, 17092, 6791, 538, 9316, 609, 15382, 26980, 269, 634, 4365, 1790, 9438, 532, 2706, 26367, 568, 1175, 835, 1383, 540, 681, 22936, 543, 10512, 5698, 1063, 519, 1079, 3906, 269, 8693, 9781, 568, 1776, 563, 763, 21753, 729, 8655, 547, 13017, 7238, 4771, 2861, 11628, 8950, 5303, 267, 519, 6109, 3743, 585, 4259, 909, 715, 5425, 338, 3933, 14663, 2706, 26367, 799, 2394, 5063, 729, 13785, 779, 1034, 3532, 2780, 1062, 269, 968, 1607, 1007, 10243, 25495, 20554, 338, 3056, 2990, 1851, 14273, 540, 20248, 1950, 2780, 1949, 5608, 3081, 10548, 714, 2098, 663, 267, 5518, 693, 20554, 563, 763, 2349, 4869, 1062, 568, 909, 543, 4881, 538, 1449, 7154, 593, 715, 17092, 22402, 543, 786, 6521, 883, 2407, 5106, 693, 15382, 26980, 2663, 713, 5614, 269, 14520, 12605, 8255, 616, 1500, 3232, 267, 2185, 585, 4365, 543, 1079, 585, 17535, 2175, 269, 634, 1007, 4365, 20925, 2706, 26367, 568, 3670, 19507, 5488, 982, 922, 31317, 267, 1631, 21737, 3039, 2250, 999, 563, 289, 2993, 868, 568, 513, 12380, 12641, 13831, 540, 476, 2568, 12985, 13763, 267, 1142, 540, 799, 616, 9280, 609, 1079, 476, 274, 269, 273, 717, 27004, 615, 16379, 27311, 2473, 324, 517, 21932, 543, 513, 476, 273, 8566, 580, 17879, 974, 1292, 4859, 267, 799, 8591, 909, 547, 476, 6344, 6252, 21932, 543, 476, 6344, 8566, 580, 17879, 974, 1292, 4859, 4390, 269, 634, 7811, 8445, 2773, 568, 476, 278, 6924, 717, 580, 2378, 331, 641, 270, 16149, 630, 271, 269, 278, 6924, 18265, 13735, 15304, 4238, 829, 2034, 1040, 634, 13763, 616, 10562, 609, 5606, 514, 756, 663, 2029, 689, 631, 749, 534, 2135, 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 ]

[ 5011, 676, 513, 2942, 1297, 563, 278, 269, 23657, 2999, 610, 3436, 3340, 606, 1930, 5858, 543, 568, 711, 513, 3070, 563, 279, 269, 1879, 2542, 689, 519, 4756, 267, 1447, 982, 1797, 547, 12094, 547, 519, 2451, 454, 280, 269, 1677, 2638, 513, 3070, 267, 11690, 519, 1297, 883, 519, 3312, 1966, 267, 543, 1287, 14458, 1142, 2427, 676, 1210, 623, 4932, 291, 3008, 563, 1015, 269, 1879, 10992, 513, 3070, 267, 952, 621, 2501, 856, 547, 581, 513, 3020, 3948, 1287, 519, 3070, 4959, 513, 3070, 547, 519, 3830, 610, 8635, 563, 2252, 596, 1131, 899, 547, 2259, 930, 8262, 267, 19196, 1746, 24438, 12307, 610, 769, 16029, 2572, 267, 946, 519, 1739, 3896, 585, 2259, 2042, 543, 3435, 281, 0, 30106, 2586, 689, 5291, 2517, 4178, 269, 974, 25393, 16691, 16896, 2008, 1692, 1419, 1281, 713, 4755, 286, 3657, 782, 3536, 693, 1981, 888, 8310, 1032, 5125, 781, 18521, 615, 747, 807, 19546, 12176, 729, 2404, 609, 7938, 14414, 21167, 28667, 543, 3361, 4049, 1426, 15464, 630, 10175, 7972, 264, 538, 7366, 2066, 2342, 630, 289, 6195, 5240, 267, 476, 1789, 270, 4962, 270, 1556, 1040, 10430, 781, 1849, 739, 5090, 1756, 7762, 6081, 636, 12176, 3361, 1079, 547, 581, 6413, 2213, 1813, 547, 519, 4049, 2068, 15636, 592, 1143, 267, 602, 729, 2404, 609, 13572, 30660, 540, 737, 768, 320, 14036, 630, 289, 6195, 5240, 267, 476, 1691, 270, 1556, 270, 1556, 1040, 7831, 3018, 513, 27187, 1007, 1636, 12176, 814, 3361, 835, 2669, 543, 814, 1044, 5532, 547, 1216, 17745, 976, 630, 289, 6195, 5240, 267, 476, 6349, 270, 6349, 270, 1321, 1916, 18814, 547, 519, 5177, 1104, 532, 513, 1804, 1297, 540, 3536, 689, 13383, 267, 891, 1426, 15464, 2665, 666, 3262, 6385, 998, 519, 2146, 269, 19007, 1804, 1412, 12712, 330, 262, 5666, 540, 26437, 3536, 849, 4679, 519, 4220, 269, 1924, 267, 519, 2693, 26372, 540, 17973, 10024, 519, 1426, 3761, 5832, 568, 1164, 563, 3719, 1810, 1405, 581, 18901, 547, 3548, 1022, 1426, 1586, 267, 519, 5354, 540, 891, 17973, 616, 7166, 1282, 5986, 630, 324, 3052, 269, 14132, 543, 9269, 264, 8754, 1034, 10108, 2049, 950, 2901, 540, 891, 616, 896, 322, 10541, 610, 13572, 609, 6151, 5779, 563, 763, 15636, 592, 1143, 2013, 729, 1813, 547, 519, 1826, 540, 24059, 1459, 269, 1849, 739, 5090, 1756, 7762, 6081, 636, 7472, 513, 14686, 25560, 630, 17763, 2581, 1070, 713, 25560, 786, 1287, 2611, 538, 519, 1426, 1256, 952, 519, 11248, 10523, 269, 901, 25560, 568, 865, 14686, 1317, 621, 6285, 519, 8401, 1062, 267, 3123, 23324, 5075, 543, 1507, 9424, 666, 581, 14686, 630, 272, 326, 1223, 6146, 519, 2898, 540, 519, 5177, 2551, 1916, 1103, 2474, 540, 4829, 543, 5388, 267, 3274, 11067, 1354, 5986, 27160, 908, 568, 2356, 782, 602, 568, 2838, 563, 7093, 1790, 871, 3042, 1426, 267, 3226, 1426, 602, 1281, 711, 2154, 8022, 267, 568, 1141, 519, 2101, 1966, 6013, 269, 1717, 267, 891, 1412, 2181, 1790, 871, 3042, 262, 2010, 540, 1426, 15464, 10355, 2049, 563, 1805, 2774, 3354, 22651, 616, 1459, 538, 1426, 5663, 547, 2061, 18117, 1670, 12526, 543, 5574, 971, 607, 24421, 539, 5907, 4610, 267, 3002, 543, 8299, 571, 8686, 14489, 630, 10013, 264, 2126, 616, 1031, 585, 4712, 3562, 3887, 520, 3536, 563, 306, 3263, 616, 5781, 13761, 585, 12526, 543, 1412, 25988, 15464, 1981, 8339, 634, 2657, 10466, 10837, 630, 295, 5183, 264, 723, 513, 1305, 540, 4808, 602, 3302, 999, 1590, 7048, 593, 267, 799, 2488, 519, 5934, 2698, 1297, 4847, 676, 1142, 11248, 630, 295, 5183, 13832, 267, 476, 1220, 279, 1916, 4415, 782, 891, 3800, 2322, 538, 1747, 547, 2061, 1426, 15464, 267, 538, 606, 4998, 1158, 621, 1058, 711, 4755, 269, 1717, 267, 519, 1426, 9755, 666, 1152, 798, 865, 1454, 910, 789, 1590, 7048, 593, 519, 1857, 11721, 797, 17752, 547, 798, 519, 1964, 563, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 270, 8234, 268, 12739, 276, 6078, 10602, 27187, 543, 1216, 17745, 976, 630, 17739, 539, 476, 277, 270, 273, 270, 1321, 994, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 11320, 5454, 3887, 2202, 268, 13670, 280, 2767, 4792, 661, 31815, 328, 12176, 476, 1001, 272, 630, 17739, 539, 476, 277, 270, 273, 270, 1321, 994, 10674, 2517, 4178, 269, 6277, 322, 16691, 16896, 30406, 270, 4157, 1606, 20799, 1633, 268, 14991, 15782, 1015, 1849, 739, 5090, 1756, 7762, 6081, 636, 543, 918, 768, 320, 14036, 630, 17739, 539, 476, 277, 270, 273, 270, 1321, 994, 10674, 2517, 4178, 19544, 11985, 3820, 16896, 270, 19986, 322, 26260, 5183, 19986, 17572, 26260, 5183, 19986, 318, 290, 270, 15686, 5392, 275, 278, 5655, 21327, 274, 670, 5183, 13832, 585, 519, 18117, 1670, 2298, 540, 930, 4712, 3562, 3887, 520, 3536, 25541, 693, 519, 1448, 540, 9042, 630, 1220, 271, 264, 0, 24145, 2329, 15789, 1280, 2659, 10871, 25280, 2026, 454, 11764, 1067, 7335, 547, 5901, 5753, 6298, 26052, 13115, 571, 1188, 4534, 663, 17949, 532, 621, 2336, 2467, 568, 2312, 2963, 602, 519, 4832, 2736, 689, 1153, 2164, 538, 4081, 1394, 1606, 331, 4575, 585, 1082, 1053, 269, 5269, 2386, 707, 1126, 568, 4509, 1010, 7924, 1377, 676, 8716, 4832, 2542, 269, 6423, 519, 2337, 593, 519, 2475, 302, 292, 3896, 563, 292, 11915, 3427, 623, 14011, 3401, 2336, 23763, 513, 1982, 602, 666, 948, 4497, 3237, 543, 2146, 2818, 547, 948, 707, 1153, 286, 918, 20784, 3367, 4653, 666, 948, 713, 4755, 269, 3367, 4653, 568, 513, 1164, 1764, 7924, 1982, 602, 8424, 10010, 3988, 609, 15321, 21493, 269, 4256, 5692, 568, 547, 1921, 3885, 267, 2199, 4213, 267, 3906, 267, 543, 3909, 2516, 547, 741, 2199, 1153, 547, 1118, 513, 3017, 538, 741, 2146, 269, 634, 3483, 540, 3367, 4653, 568, 547, 948, 1053, 1831, 21295, 538, 2542, 269, 3367, 4653, 1568, 2047, 609, 589, 1067, 328, 17357, 1186, 538, 519, 3506, 269, 589, 1067, 328, 17357, 1186, 14721, 8651, 519, 1982, 267, 3096, 519, 5254, 2752, 23468, 1982, 547, 5721, 13538, 267, 2445, 1239, 267, 543, 2327, 2298, 543, 11007, 269, 918, 20784, 5932, 4656, 267, 16461, 1080, 21493, 267, 2488, 15314, 543, 16873, 609, 932, 32111, 476, 276, 2244, 902, 543, 7924, 2621, 269, 16890, 945, 2671, 938, 3853, 1331, 267, 2136, 10158, 267, 519, 18096, 3557, 8433, 540, 4065, 267, 623, 14011, 267, 543, 18370, 704, 640, 476, 1708, 271, 269, 25175, 5461, 538, 1565, 811, 827, 519, 1982, 666, 3643, 8940, 18667, 339, 3736, 2593, 563, 2026, 513, 7649, 609, 3367, 4653, 267, 18370, 704, 640, 476, 1708, 271, 267, 543, 519, 17135, 781, 623, 19781, 3804, 267, 18096, 623, 14011, 7512, 2199, 4559, 547, 948, 15313, 519, 13538, 2556, 547, 2322, 519, 5254, 2752, 23468, 1982, 547, 960, 538, 707, 3506, 563, 13014, 2542, 513, 3232, 2534, 602, 568, 1187, 585, 519, 2898, 1920, 2336, 16100, 585, 513, 1982, 602, 17015, 519, 2115, 540, 707, 1053, 1851, 519, 1082, 602, 616, 2139, 538, 938, 1378, 2950, 563, 8512, 1676, 609, 519, 2146, 547, 10069, 1125, 707, 2621, 2336, 2080, 616, 513, 1906, 6402, 602, 1522, 948, 596, 1711, 513, 1390, 7924, 2680, 693, 707, 1153, 269, 8437, 593, 519, 4544, 2012, 610, 8360, 547, 3095, 547, 891, 2200, 912, 268, 4855, 513, 1433, 602, 568, 1175, 1318, 585, 707, 1126, 4534, 22858, 850, 7335, 700, 1235, 454, 268, 9977, 531, 12833, 9876, 618, 17402, 3718, 10914, 910, 22995, 312, 308, 454, 268, 9906, 15397, 1681, 19793, 22777, 585, 7335, 630, 4306, 2752, 994, 268, 3367, 609, 513, 4132, 910, 17135, 781, 8189, 593, 17402, 454, 268, 3367, 4653, 910, 2677, 699, 339, 5004, 15278, 454, 268, 8230, 12275, 742, 10003, 547, 11773, 910, 14288, 1032, 454, 268, 3367, 585, 519, 16680, 30180, 11034, 910, 5239, 476, 275, 2336, 268, 7335, 3057, 25070, 910, 918, 308, 3633, 910, 8734, 5937, 1815, 454, 268, 2142, 513, 12243, 26761, 281, 3367, 256, 910, 18096, 27227, 281, 5988, 5336, 1105, 454, 268, 918, 308, 3633, 16316, 8479, 19536, 543, 16503, 21116, 2552, 652, 910, 918, 308, 3633, 910, 4924, 5025, 1440, 559, 454, 268, 3367, 21661, 3013, 910, 4728, 476, 272, 630, 7804, 269, 1530, 1380, 262, 17510, 1485, 994, 268, 29100, 18421, 543, 3367, 910, 4989, 476, 1321, 630, 289, 1197, 569, 7581, 776, 781, 17510, 1485, 994, 268, 5753, 781, 3883, 10432, 910, 2904, 1724, 268, 866, 267, 476, 1001, 274, 0, 2026, 649, 5143, 596, 827, 5063, 267, 772, 2529, 269, 6808, 28896, 2799, 538, 519, 1101, 10116, 540, 476, 1001, 273, 3379, 547, 519, 1032, 1354, 269, 3502, 19599, 267, 31355, 7972, 2408, 547, 581, 593, 519, 4473, 607, 1134, 269, 634, 1034, 2487, 1239, 2139, 267, 689, 476, 1001, 271, 267, 2982, 602, 31355, 28896, 9782, 476, 275, 2600, 1032, 3562, 4458, 563, 6097, 547, 519, 2817, 23681, 29853, 8881, 10029, 267, 476, 3583, 267, 1822, 19516, 20379, 941, 13676, 538, 1286, 10913, 538, 476, 1001, 271, 267, 543, 476, 275, 267, 18231, 1004, 19516, 20379, 11124, 14603, 7063, 269, 2334, 781, 606, 2333, 540, 476, 275, 2600, 936, 476, 1220, 280, 2338, 269, 3371, 616, 513, 1906, 824, 865, 828, 532, 7194, 5950, 676, 519, 19760, 4811, 288, 563, 1892, 476, 5325, 2600, 540, 519, 14603, 31355, 26301, 3238, 4568, 267, 799, 729, 10057, 2901, 676, 519, 9920, 610, 676, 519, 31355, 563, 1892, 476, 3445, 2600, 540, 519, 14686, 10913, 3576, 1747, 950, 519, 4365, 729, 2312, 269, 1924, 267, 835, 1223, 9959, 602, 1651, 2211, 4365, 3085, 1405, 1404, 513, 5458, 3815, 538, 31355, 7972, 563, 1892, 5565, 22188, 2600, 540, 519, 9601, 941, 5256, 563, 1892, 476, 6924, 2600, 540, 519, 26301, 5949, 693, 3781, 267, 1247, 827, 3368, 7018, 593, 513, 11016, 267, 14349, 610, 10732, 563, 1892, 476, 3199, 2600, 540, 519, 7972, 5949, 950, 19516, 20379, 941, 15385, 693, 1875, 17942, 21827, 563, 1432, 666, 649, 1451, 689, 891, 2338, 286, 4595, 1034, 540, 519, 14603, 26301, 7018, 693, 1875, 17942, 21827, 267, 621, 949, 581, 2922, 547, 8263, 602, 10256, 941, 9575, 1055, 9856, 269, 769, 930, 2665, 267, 789, 949, 711, 723, 1044, 9878, 3007, 282, 538, 1866, 267, 519, 19516, 20379, 949, 723, 1044, 26531, 676, 741, 1591, 10746, 1247, 6972, 267, 799, 568, 513, 3395, 1966, 563, 2690, 519, 5301, 540, 519, 1353, 267, 513, 31355, 729, 3989, 607, 4896, 945, 729, 9361, 267, 6972, 267, 4881, 267, 28185, 3101, 610, 19482, 563, 13126, 281, 23711, 267, 834, 303, 539, 652, 6929, 28896, 909, 476, 275, 2600, 538, 476, 1001, 271, 282, 1875, 17942, 7611, 3444, 902, 1034, 14686, 2437, 13343, 4446, 32200, 267, 4119, 269, 476, 278, 267, 476, 1001, 273, 0, 8448, 2139, 12043, 912, 19185, 585, 606, 6514, 5299, 888, 2252, 596, 616, 5461, 538, 519, 2140, 585, 707, 1576, 649, 666, 2015, 5356, 606, 6514, 5299, 269, 1677, 11578, 707, 1719, 5225, 3346, 18078, 17106, 11333, 3820, 3246, 3877, 540, 519, 1576, 596, 616, 3450, 563, 1103, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 267, 519, 2823, 2275, 885, 540, 14913, 5607, 941, 588, 1645, 12406, 585, 3309, 2516, 540, 8723, 4961, 547, 4603, 609, 29678, 267, 607, 513, 8375, 3567, 543, 1977, 16851, 13934, 519, 2392, 7631, 766, 540, 3864, 23693, 1310, 519, 3689, 2622, 2782, 269, 5637, 20404, 543, 17137, 5129, 513, 11358, 1909, 538, 5935, 18523, 2528, 269, 25021, 2476, 689, 513, 28929, 2542, 540, 519, 1974, 267, 2672, 6931, 11066, 7710, 6106, 540, 3444, 14426, 5872, 538, 1585, 21384, 281, 519, 4683, 3710, 1604, 267, 18523, 12205, 267, 1820, 2923, 267, 2069, 267, 2442, 2528, 543, 519, 11944, 540, 519, 2413, 4807, 269, 2755, 519, 1433, 6212, 593, 6755, 836, 267, 681, 836, 3019, 543, 10854, 330, 758, 910, 1614, 4872, 4535, 9624, 3703, 7269, 547, 519, 3148, 910, 621, 7710, 4448, 2833, 2066, 5607, 543, 538, 7489, 7214, 11700, 2314, 538, 2342, 269, 15328, 332, 641, 13457, 2283, 4850, 941, 16094, 7318, 538, 519, 5736, 540, 2022, 12258, 11102, 18541, 267, 855, 616, 18460, 513, 32134, 538, 14913, 5607, 781, 3540, 2486, 543, 3860, 1362, 2221, 19403, 811, 454, 268, 4400, 7547, 519, 1909, 540, 519, 14421, 641, 13457, 2823, 2749, 538, 7489, 29678, 454, 268, 10312, 525, 593, 519, 1909, 540, 20495, 2950, 267, 971, 607, 20404, 543, 2413, 6690, 267, 4171, 2984, 616, 711, 1419, 5143, 454, 268, 30216, 513, 2542, 540, 14421, 641, 13457 ]

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

[ 3436, 630, 10674, 2517, 2889, 915, 324, 17526, 14492, 3738, 543, 693, 2547, 594, 786, 711, 581, 3056, 538, 519, 454, 9563, 23645, 3436, 1592, 8230, 344, 753, 945, 723, 12193, 519, 1034, 2042, 267, 1152, 476, 7367, 267, 519, 2063, 942, 594, 454, 9563, 23645, 3436, 6743, 563, 9563, 23645, 3436, 1656, 547, 12448, 630, 3873, 1862, 596, 616, 693, 476, 1704, 16532, 476, 596, 2307, 513, 2243, 543, 1287, 454, 9563, 23645, 3436, 14897, 8627, 670, 7825, 7825, 267, 543, 1141, 568, 631, 10730, 286, 888, 9563, 23645, 28825, 9563, 23645, 3436, 4258, 619, 256, 2336, 9563, 23645, 3436, 20943, 3578, 807, 2483, 9563, 23645, 28825, 9563, 23645, 28825, 9563, 23645, 28825, 9563, 23645, 3436, 2201, 9045, 267, 476, 1220, 279, 268, 5881, 268, 1321, 693, 476, 5881, 281, 1626, 910, 271, 3583, 271, 267, 2098, 778, 7559, 631, 269, 681, 1872, 784, 334, 5206, 912, 9563, 23645, 23645, 901, 4757, 568, 689, 513, 18451, 31583, 268, 651, 9408, 686, 828, 547, 824, 32224, 538, 331, 24851, 596, 281, 994, 9563, 23645, 23645, 3733, 3070, 547, 25586, 1948, 1321, 8255, 538, 1447, 982, 476, 272, 8792, 563, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 2913, 721, 1592, 519, 2188, 540, 519, 1101, 5216, 6906, 2338, 912, 9563, 23645, 23645, 476, 476, 272, 281, 476, 272, 454, 9563, 23645, 23645, 476, 476, 274, 281, 476, 272, 267, 274, 454, 9563, 23645, 23645, 476, 476, 277, 281, 476, 272, 267, 273, 267, 274, 267, 277, 454, 9563, 23645, 23645, 476, 1015, 281, 476, 272, 267, 273, 267, 276, 267, 1015, 454, 9563, 23645, 23645, 476, 1428, 281, 476, 272, 267, 274, 267, 276, 267, 1428, 454, 9563, 23645, 23645, 476, 2641, 281, 476, 272, 267, 274, 267, 278, 267, 2641, 454, 9563, 23645, 23645, 476, 2764, 281, 476, 272, 267, 273, 267, 275, 267, 278, 267, 1691, 267, 2764, 454, 9563, 23645, 23645, 476, 3607, 281, 476, 272, 267, 273, 267, 274, 267, 275, 267, 277, 267, 279, 267, 280, 267, 1321, 267, 1240, 267, 3607, 454, 9563, 23645, 23645, 8074, 519, 2338, 602, 616, 896, 20040, 538, 1142, 5311, 269, 901, 568, 519, 3368, 1259, 1448, 563, 9563, 23645, 23645, 513, 264, 476, 1403, 596, 7941, 519, 6906, 1297, 676, 519, 1101, 1297, 602, 568, 896, 20040, 519, 1267, 786, 581, 3152, 982, 519, 27708, 563, 9563, 23645, 23645, 536, 994, 9563, 23645, 23645, 2201, 519, 824, 1688, 952, 596, 7941, 519, 6906, 1297, 676, 519, 2034, 454, 9563, 23645, 23645, 1297, 602, 568, 896, 20040, 519, 1267, 786, 581, 1447, 982, 519, 27708, 563, 9563, 23645, 23645, 524, 994, 9563, 23645, 23645, 634, 6906, 1297, 476, 3607, 814, 1152, 835, 1297, 693, 519, 8998, 540, 519, 454, 9563, 23645, 23645, 5311, 267, 1317, 602, 8998, 1297, 568, 519, 4009, 3597, 540, 519, 6906, 454, 9563, 23645, 23645, 1297, 476, 3607, 563, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 769, 454, 9563, 23645, 23645, 2665, 513, 264, 543, 536, 264, 952, 596, 4941, 547, 917, 519, 2698, 1297, 540, 16975, 267, 596, 454, 9563, 23645, 23645, 1413, 585, 519, 2990, 540, 519, 1297, 896, 20040, 607, 4330, 538, 536, 1070, 1287, 454, 9563, 23645, 23645, 10208, 476, 272, 689, 621, 267, 1287, 9062, 621, 676, 476, 273, 269, 1280, 1383, 267, 585, 6906, 454, 9563, 23645, 23645, 1297, 476, 2764, 267, 1871, 476, 278, 568, 538, 2990, 476, 275, 269, 1924, 630, 275, 268, 272, 264, 2608, 476, 273, 815, 476, 277, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 769, 454, 9563, 23645, 23645, 2665, 524, 264, 952, 596, 4941, 547, 917, 519, 2698, 1297, 540, 16975, 267, 596, 1413, 454, 9563, 23645, 23645, 585, 519, 2990, 540, 519, 4099, 1297, 896, 20040, 267, 1287, 9062, 621, 676, 454, 9563, 23645, 23645, 476, 273, 269, 1280, 1383, 267, 585, 6906, 1297, 476, 3607, 267, 1871, 476, 277, 568, 538, 2990, 476, 276, 563, 9563, 23645, 23645, 1924, 476, 276, 2608, 476, 273, 815, 476, 1015, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 3371, 568, 519, 1982, 563, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 17435, 2468, 698, 5591, 1306, 6715, 518, 23526, 1412, 21121, 1297, 454, 9563, 23645, 23645, 17435, 4831, 1306, 6715, 518, 23526, 1412, 585, 12719, 519, 1985, 6906, 1297, 454, 9563, 23645, 23645, 17435, 15254, 19368, 1306, 6715, 518, 2018, 1412, 9214, 7757, 538, 3406, 585, 513, 6555, 529, 528, 454, 9563, 23645, 23645, 17435, 3143, 19667, 30583, 1306, 6715, 518, 1038, 1412, 1297, 540, 6555, 30583, 1336, 454, 9563, 23645, 23645, 17435, 6555, 529, 528, 1306, 6715, 518, 23526, 1412, 10025, 540, 1336, 6555, 529, 528, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 1684, 454, 9563, 23645, 23645, 825, 4831, 6834, 476, 272, 454, 9563, 23645, 23645, 825, 2468, 698, 5591, 815, 2468, 698, 5591, 1341, 4831, 454, 9563, 23645, 23645, 825, 15254, 19368, 815, 476, 271, 454, 9563, 23645, 23645, 825, 6555, 529, 528, 815, 476, 271, 454, 9563, 23645, 23645, 825, 3143, 19667, 30583, 815, 476, 271, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 11434, 1684, 454, 9563, 23645, 23645, 16875, 15254, 19368, 6834, 476, 272, 454, 9563, 23645, 23645, 16875, 1403, 2468, 698, 5591, 3525, 15254, 19368, 815, 476, 271, 3973, 7386, 1412, 568, 15254, 19368, 513, 6555, 529, 528, 454, 9563, 23645, 23645, 16875, 6555, 529, 528, 815, 15254, 19368, 454, 9563, 23645, 23645, 16875, 3143, 19667, 30583, 6834, 476, 272, 454, 9563, 23645, 23645, 1363, 7736, 1403, 454, 9563, 23645, 23645, 8587, 31230, 19402, 630, 28256, 698, 5591, 1315, 6555, 529, 528, 264, 10922, 6555, 529, 528, 25639, 1412, 4855, 950, 596, 3914, 519, 2034, 8998, 1871, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 8587, 1403, 630, 28256, 698, 5591, 1315, 6555, 529, 528, 264, 815, 6555, 529, 528, 3973, 454, 9563, 23645, 23645, 1363, 3143, 19667, 30583, 815, 630, 5591, 19667, 30583, 910, 476, 272, 264, 2608, 476, 273, 1341, 476, 272, 4449, 476, 1412, 2665, 513, 264, 543, 536, 994, 9563, 23645, 23645, 672, 22527, 454, 9563, 23645, 23645, 1363, 3143, 19667, 30583, 815, 630, 5591, 19667, 30583, 910, 476, 272, 264, 2608, 476, 273, 13376, 1412, 2013, 524, 994, 9563, 23645, 23645, 672, 7736, 1403, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 31230, 19402, 630, 5591, 19667, 30583, 3436, 476, 4335, 994, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 7956, 26213, 272, 11053, 2169, 815, 2468, 698, 5591, 454, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 2098, 269, 631, 342, 30231, 454, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 476, 955, 268, 22731, 24606, 476, 955, 454, 9563, 23645, 23645, 3245, 281, 12448, 4223, 1156, 613, 2999, 3901, 1156, 613, 693, 575, 21166, 2593, 11417, 9563, 23645, 23645, 1677, 281, 18451, 31583, 15057, 2999, 889, 31583, 268, 651, 693, 8638, 269, 889, 31583, 2593, 11417, 9563, 23645, 23645, 13329, 281, 11016, 267, 5147, 476, 1556, 267, 476, 1220, 279, 476, 274, 281, 2190, 281, 2537, 7537, 454, 9563, 23645, 23645, 13595, 281, 1234, 281, 25586, 10819, 454, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 901, 4757, 568, 689, 513, 18451, 31583, 268, 651, 9408, 686, 828, 547, 824, 32224, 538, 331, 24851, 596, 281, 994, 9563, 23645, 23645, 594, 4312, 1044, 2324, 593, 1948, 1321, 543, 519, 2773, 568, 3274, 711, 11807, 563, 9563, 23645, 23645, 13201, 4896, 1044, 2111, 547, 1205, 713, 4881, 607, 3728, 607, 930, 540, 519, 9708, 454, 9563, 23645, 23645, 593, 519, 3135, 3409, 888, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 12448, 563, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 2201, 570, 826, 267, 7325, 476, 279, 267, 476, 1220, 279, 693, 476, 1321, 281, 2412, 6751, 267, 10252, 3578, 328, 288, 1454, 534, 292, 2999, 332, 1276, 2033, 330, 693, 575, 21166, 2593, 285, 5206, 912, 9563, 23645, 23645, 3436, 12448, 2676, 9563, 23645, 23645, 3436, 1280, 1948, 1015, 267, 952, 596, 798, 711, 946, 513, 521, 10079, 547, 1265, 519, 22136, 267, 621, 786, 2196, 454, 9563, 23645, 23645, 3436, 11014, 2336, 9563, 23645, 23645, 3436, 1703, 568, 835, 1572, 519, 590, 10079, 540, 661, 2858, 582, 1156, 525, 269, 6744, 621, 856, 593, 454, 9563, 23645, 23645, 3436, 9504, 563, 9563, 23645, 23645, 28825, 9563, 23645, 23645, 3436, 6153, 9939, 32473, 994, 9563, 23645, 23645, 3436, 20943, 3578, 807, 2483, 9563, 23645, 23645, 3436, 2201, 570, 826, 267, 476, 1220, 279, 268, 5881, 268, 5400, 693, 476, 1015, 281, 5325, 910, 31239, 271, 267, 12448, 4223, 1156, 613, 5206, 912, 9563, 23645, 23645, 23645, 594, 6415, 1869, 3843, 873, 269, 594, 3323, 693, 1948, 272, 1310, 519, 835, 596, 6069, 454, 9563, 23645, 23645, 23645, 630, 258, 2918, 264, 543, 594, 6415, 693, 1948, 1015, 1631, 269, 901, 835, 1058, 581, 1360, 2241, 855, 594, 1810, 1405, 454, 9563, 23645, 23645, 23645, 917, 1946, 621, 781, 2921, 865, 1279, 547, 2196, 563, 9563, 23645, 23645, 3436, 11417, 9563, 23645, 23645, 23645, 12448, 563, 9563, 23645, 23645, 3436, 11417, 9563, 23645, 23645, 23645, 2201, 570, 826, 267, 7325, 476, 279, 267, 476, 1220, 279, 693, 476, 277, 281, 7367, 7537, 267, 10252, 3578, 328, 288, 1454, 534, 292, 2999, 332, 1276, 2033, 330, 693, 575, 21166, 2593, 285, 5206, 912, 9563, 23645, 23645, 23645, 3436, 13206, 926, 2676, 9563, 23645, 23645, 23645, 3436, 7102, 7853, 1869, 3843, 891, 2042, 267, 596, 616, 782, 865, 267, 865, 14980, 2483, 9563, 23645, 23645, 23645, 28825, 9563, 23645, 23645, 23645, 3436, 20943, 3578, 807, 2483, 9563, 23645, 23645, 23645, 28825, 9563, 23645, 23645, 23645, 28825, 9563, 23645, 23645, 28825, 9563, 23645, 23645, 28825, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 4534, 454, 9563, 23645, 23645, 29974, 31583, 268, 651, 544, 9430, 1592, 454, 9563, 23645, 23645, 29974, 31583, 268, 651, 693, 8638, 269, 889, 31583, 2593, 454, 9563, 23645, 23645, 4179, 2517, 29812, 269, 889, 31583, 2593, 8276, 841, 2006, 270, 4289, 16769, 270, 889, 31583, 268, 651, 454, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 3436, 11417, 9563, 23645, 23645, 28612, 9339, 1985, 851, 28612, 9339, 454, 9563, 23645, 23645, 1323, 14103, 13613, 729, 28103, 5523, 2483, 9563, 23645, 23645, 15745, 281, 4179, 2517, 29812, 269, 889, 31583, 2593, 270, 1105, 1161, 270, 889, 31583, 268, 651, 270, 3430, 778, 906, 270, 1220, 3199, 278, 1321, 27160, 8660, 277, 276, 321, 6795, 270, 3430, 16670, 21867, 454, 9563, 23645, 28825, 9563, 23645, 28825, 9563, 28825, 9563, 28825, 11417, 285, 692, 3499, 0, 258, 6744, 952, 513, 2016, 5044, 3568, 26134, 2609, 1369, 737, 3845, 689, 1142, 824, 692, 11795, 22187, 5426, 14168, 454, 26161, 25300, 21366, 476, 28434, 692, 763, 1966, 968, 13425, 952, 513, 2016, 5044, 3568, 26134, 2609, 1369, 737, 3845, 689, 1142, 824, 892, 2829, 602, 649, 723, 547, 2638, 585, 5918, 27289, 538, 2016, 796, 23912, 5044, 1369, 519, 2039, 540, 737, 269, 3371, 519, 1871, 540, 737, 568, 4130, 982, 519, 2016, 5044, 780, 1012, 6201, 692, 319, 298, 815, 476, 274, 1109, 476, 1109, 1551, 26514, 815, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 273, 267, 476, 272, 348, 319, 454, 319, 16178, 319, 454, 319, 298, 815, 476, 273, 1109, 476, 1109, 1551, 26514, 815, 2715, 274, 267, 476, 275, 267, 476, 274, 267, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 277, 348, 319, 454, 319, 12148, 26384, 15008, 692, 2171, 723, 1079, 2409, 547, 4194, 713, 1966, 269, 634, 12863, 835, 568, 547, 2196, 1079, 17787, 538, 799, 519, 1101, 8520, 786, 4584, 1169, 3693, 607, 513, 4358, 3693, 585, 519, 2034, 8520, 2048, 1103, 1676, 8520, 9957, 2991, 602, 267, 519, 2034, 8520, 786, 5635, 519, 4358, 3693, 609, 782, 519, 2609, 1369, 519, 2039, 540, 2048, 330, 9957, 1809, 713, 3070, 568, 711, 602, 3608, 621, 3217, 942, 6988, 540, 744, 17347, 265, 333, 6393, 3719, 649, 723, 1776, 811, 3608, 1505, 799, 666, 4194, 519, 1966, 538, 744, 3799, 264, 942, 6988, 1572, 814, 3107, 269, 769, 519, 814, 3107, 1505, 267, 649, 786, 29906, 782, 519, 2609, 540, 519, 5044, 543, 649, 786, 2638, 952, 519, 3693, 568, 1459, 538, 621, 610, 711, 269, 1403, 519, 3693, 568, 538, 972, 1287, 649, 786, 2132, 2048, 12148, 10200, 22527, 649, 786, 1039, 621 ]

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

[ 0, 288, 20624, 568, 9427, 519, 3703, 21257, 689, 922, 4871, 17084, 543, 786, 4183, 606, 6805, 1374, 2864, 982, 606, 3239, 540, 3751, 8176, 593, 922, 1007, 1269, 276, 4063, 563, 763, 4182, 779, 3844, 4871, 1767, 519, 1007, 4063, 1131, 22632, 968, 1492, 2528, 543, 1686, 540, 519, 3689, 26880, 892, 1107, 13868, 519, 1699, 17855, 540, 519, 10348, 267, 945, 5747, 2063, 1032, 563, 763, 1269, 276, 4063, 729, 5245, 779, 1152, 6967, 4871, 16694, 547, 1869, 4183, 606, 3239, 540, 519, 16313, 563, 288, 20624, 779, 15944, 7813, 1767, 519, 3751, 568, 1869, 4397, 547, 2408, 593, 11113, 563, 763, 3703, 16313, 3788, 5245, 779, 2212, 540, 1533, 267, 4352, 891, 2395, 602, 1909, 568, 7361, 12572, 563, 763, 4871, 1767, 519, 3375, 4553, 15360, 609, 519, 2229, 267, 799, 6462, 519, 1689, 563, 307, 516, 5501, 337, 13343, 30634, 11302, 1767, 519, 1689, 729, 606, 4316, 547, 10880, 513, 1434, 3666, 269, 1261, 3773, 281, 968, 763, 16313, 786, 1869, 581, 593, 519, 11113, 267, 855, 519, 1269, 276, 4063, 786, 2161, 811, 827, 938, 1686, 543, 938, 6561, 543, 938, 2197, 267, 543, 594, 1294, 602, 607, 513, 1434, 3364, 3034, 4913, 267, 17837, 2161, 519, 1847, 568, 20833, 12592, 563, 289, 1678, 547, 5077, 609, 6805, 2516, 454, 302, 653, 3789, 6205, 8834, 667, 583, 2023, 6010, 2989, 519, 1847, 547, 4657, 519, 4266, 540, 519, 3084, 1554, 267, 5245, 4303, 563, 14881, 917, 519, 14980, 5354, 1810, 1406, 3858, 609, 513, 2603, 540, 519, 530, 5803, 20060, 1619, 602, 4422, 593, 855, 649, 4076, 3893, 547, 5873, 811, 689, 1346, 1004, 2228, 2223, 646, 5143, 17638, 5925, 6728, 476, 273, 16412, 15571, 563, 16031, 667, 583, 2023, 1767, 5245, 779, 11788, 10579, 20900, 24640, 3150, 729, 3844, 547, 519, 3375, 585, 519, 3751, 711, 547, 2408, 593, 519, 4063, 267, 28409, 1864, 547, 968, 1144, 909, 547, 621, 9731, 20075, 523, 10906, 779, 17855, 814, 12286, 593, 519, 1269, 276, 4063, 2094, 476, 1960, 273, 267, 543, 568, 6537, 689, 11147, 20827, 676, 519, 15944, 7813, 538, 476, 2735, 275, 563, 763, 4871, 4566, 547, 5077, 609, 6805, 2516, 538, 8888, 519, 1269, 276, 4063, 267, 513, 1184, 621, 26770, 786, 1491, 1896, 1296, 1354, 519, 1007, 4063, 4422, 1857, 563, 12024, 1082, 5449, 3703, 10125, 267, 5245, 568, 3181, 908, 547, 1018, 6708, 621, 1058, 11677, 922, 13338, 13218, 547, 6628, 563, 763, 4871, 3773, 602, 519, 824, 2427, 540, 519, 1269, 276, 4871, 16694, 786, 3136, 547, 4183, 519, 8241, 14618, 563, 763, 1699, 1269, 276, 786, 3136, 547, 581, 9783, 2394, 519, 1007, 1374, 568, 5189, 543, 786, 2611, 3656, 13035, 1256, 1310, 519, 1007, 4063, 4422, 883, 10009, 563, 763, 3068, 540, 3751, 8176, 8633, 568, 4397, 547, 581, 2938, 593, 8241, 11113, 2663, 713, 1032, 563, 28074, 540, 5245, 779, 9304, 2907, 2934, 6805, 5515, 543, 11247, 269, 0, 4504, 18166, 6178, 5678, 538, 519, 7216, 19974, 15858, 454, 3383, 596, 2461, 3206, 827, 4946, 930, 1977, 6178, 5678, 630, 3008, 299, 264, 547, 707, 2038, 6689, 4928, 1107, 602, 779, 9735, 2336, 2252, 596, 4076, 3893, 2055, 827, 3478, 3323, 610, 3168, 585, 513, 1747, 547, 1376, 267, 594, 4126, 713, 2376, 786, 948, 596, 563, 763, 616, 865, 1082, 2640, 547, 1210, 1129, 1893, 609, 1762, 1453, 607, 513, 1565, 1907, 269, 1809, 952, 596, 4076, 2760, 6594, 6789, 299, 267, 621, 666, 581, 513, 2370, 11566, 269, 6904, 4191, 1058, 594, 1376, 609, 286, 1215, 798, 594, 1451, 547, 798, 519, 4191, 286, 1215, 798, 594, 6338, 873, 547, 519, 4928, 286, 2549, 594, 11727, 547, 4001, 713, 888, 22826, 1977, 6178, 5678, 1879, 1411, 2461, 513, 9906, 23126, 454, 296, 3580, 1376, 676, 6031, 602, 267, 538, 606, 4998, 1158, 267, 1169, 4928, 1131, 723, 1569, 547, 606, 4810, 6789, 299, 3593, 543, 4759, 540, 519, 32664, 2146, 267, 607, 1134, 607, 513, 9952, 3705, 614, 267, 547, 948, 596, 6338, 19142, 547, 707, 1762, 1053, 269, 1809, 2094, 602, 779, 4440, 711, 2009, 267, 596, 3580, 723, 547, 798, 707, 1655, 593, 707, 1378, 1107, 543, 596, 666, 11207, 798, 713, 269, 1411, 2907, 4001, 519, 2370, 3283, 538, 707, 1362, 8964, 609, 9416, 680, 904, 2907, 630, 31435, 968, 21132, 344, 645, 1080, 344, 30064, 25257, 543, 10962, 2596, 6789, 299, 6863, 568, 10416, 519, 1482, 1184, 269, 1411, 666, 11207, 798, 713, 2336, 2005, 779, 21453, 952, 596, 616, 1565, 519, 4191, 1318, 2059, 609, 707, 1053, 269, 1411, 1810, 1406, 723, 547, 581, 31402, 547, 6338, 519, 9238, 269, 3807, 607, 596, 1810, 1406, 723, 547, 581, 31402, 538, 5053, 547, 4001, 707, 1053, 602, 887, 14765, 815, 2699, 267, 596, 666, 4001, 930, 2596, 6789, 299, 6863, 538, 707, 4928, 609, 1175, 513, 19625, 540, 4191, 538, 707, 27132, 269, 3807, 581, 19230, 2507, 707, 2370, 3283, 786, 1205, 519, 13793, 540, 19142, 3533, 543, 1376, 6998, 596, 519, 4191, 585, 811, 3688, 2899, 789, 1205, 519, 13793, 540, 621, 2507, 810, 581, 5423, 547, 19856, 909, 707, 1565, 1932, 563, 13563, 6178, 5678, 585, 15858, 13705, 1149, 454, 2414, 1205, 3323, 267, 594, 4363, 4946, 1129, 1893, 547, 707, 4540, 4928, 13467, 269, 5272, 4928, 267, 2436, 606, 10867, 267, 22525, 267, 9251, 610, 6404, 21943, 4259, 814, 513, 3232, 11733, 543, 2497, 547, 741, 1554, 269, 634, 1931, 786, 4268, 689, 4928, 547, 4928, 267, 607, 786, 1018, 596, 1289, 1142, 2534, 610, 942, 540, 1554, 267, 855, 3592, 782, 2038, 6689, 13460, 786, 1331, 930, 1107, 610, 782, 1107, 540, 519, 1739, 538, 741, 3232, 6296, 912, 268, 27336, 2526, 5384, 454, 268, 20051, 5384, 630, 528, 17781, 5384, 994, 268, 7591, 5384, 630, 528, 5131, 14893, 610, 4741, 5384, 994, 268, 11162, 5455, 5384, 454, 268, 9452, 5384, 630, 528, 2372, 2884, 7335, 5384, 994, 268, 10965, 871, 5384, 13624, 4875, 5384, 454, 268, 31072, 7591, 610, 1234, 947, 454, 268, 13845, 5384, 630, 528, 10163, 5384, 994, 268, 667, 1143, 1170, 531, 5384, 454, 9989, 707, 3232, 6296, 1413, 1945, 899, 713, 286, 1403, 865, 267, 596, 666, 3362, 1039, 513, 1906, 4191, 883, 707, 4540, 6296, 16900, 269, 4634, 952, 707, 8430, 568, 711, 2706, 11295, 267, 596, 666, 3362, 1039, 513, 1906, 9238, 4191, 2429, 519, 1554, 543, 1354, 596, 917, 621, 267, 621, 786, 1831, 513, 1187, 851, 540, 707, 1554, 543, 1945, 707, 1053, 1413, 4464, 547, 543, 2972, 1932, 2336, 29819, 585, 11545, 15858, 13705, 1149, 454, 2080, 616, 930, 2731, 2653, 547, 1451, 267, 2596, 6789, 299, 4191, 602, 596, 666, 1376, 1210, 1142, 543, 1169, 1554, 540, 519, 3018, 538, 707, 4928, 912, 268, 20231, 667, 24535, 454, 288, 12754, 547, 6435, 1411, 2336, 2171, 4076, 2813, 519, 3501, 4199, 547, 948, 596, 18390, 6338, 4191, 883, 707, 4928, 256, 28038, 6178, 5678, 585, 4303, 3249, 1107, 513, 1507, 4015, 540, 7044, 543, 513, 5363, 7792, 865, 596, 666, 1376, 19142, 2221, 256, 0, 288, 17642, 788, 1653, 568, 899, 513, 2143, 31387, 602, 4966, 610, 513, 9952, 2319, 1711, 547, 2491, 513, 1007, 1788, 267, 2029, 267, 610, 1523, 269, 898, 781, 606, 11212, 2143, 3561, 2966, 547, 1217, 3025, 827, 513, 1880, 2856, 610, 5647, 563, 21132, 1292, 3483, 568, 547, 2491, 1946, 602, 2856, 568, 7415, 543, 875, 621, 1223, 2965, 960, 538, 1483, 1272, 269, 898, 781, 11295, 899, 513, 3460, 267, 4358, 609, 606, 7650, 602, 14592, 1018, 519, 1788, 6663, 547, 9585, 543, 1946, 621, 6927, 269, 3973, 267, 621, 4991, 883, 519, 32067, 3877, 267, 8840, 1524, 10502, 875, 519, 5100, 2029, 610, 2856, 3297, 621, 13333, 543, 1018, 2306, 621, 1796, 856, 269, 634, 17642, 788, 1653, 849, 8711, 519, 2319, 2324, 593, 519, 1788, 267, 15386, 741, 4987, 543, 1995, 267, 799, 13976, 3972, 538, 519, 1788, 781, 1761, 1967, 269, 6884, 267, 621, 2882, 2883, 4566, 267, 7713, 875, 789, 20053, 547, 1205, 7616, 543, 1761, 9465, 789, 1522, 7237, 269, 769, 12863, 2474, 267, 513, 17642, 788, 1653, 568, 811, 982, 1175, 513, 3561, 269, 898, 781, 513, 5100, 1259, 547, 2491, 1946, 606, 2856, 568, 6909, 543, 875, 621, 1223, 1118, 513, 2318, 1764, 269, 898, 6411, 607, 513, 1907, 602, 10114, 999, 10995, 2093, 543, 8309, 547, 5355, 938, 1158, 269, 589, 17642, 788, 1653, 568, 711, 1175, 513, 4015, 540, 5013, 282, 621, 781, 513, 1797, 540, 4687, 1702, 543, 2093, 609, 3025, 269, 898, 6770, 1004, 1927, 547, 4434, 2029, 267, 5352, 1007, 2093, 267, 543, 1265, 3435, 585, 513, 17321, 2104, 269, 898, 781, 827, 2870, 2029, 267, 1007, 2093, 267, 543, 3435, 602, 3337, 513, 1732, 14182, 269, 0, 291, 583, 625, 2986, 589, 26225, 8081, 4518, 518, 454, 22512, 15130, 543, 6351, 547, 2146, 2818, 609, 2168, 610, 2790, 23043, 568, 519, 3119, 10279, 540, 513, 9659, 1489, 11832, 269, 1306, 17101, 1489, 4600, 267, 789, 786, 5000, 543, 4217, 741, 7218, 547, 2087, 519, 2298, 540, 741, 2729, 269, 8081, 4600, 693, 9650, 320, 945, 1683, 9659, 6351, 723, 513, 3099, 540, 4305, 16551, 269, 24613, 547, 7218, 685, 5321, 610, 1256, 5356, 2661, 2987, 6351, 693, 513, 6462, 4830, 2713, 9744, 949, 581, 851, 540, 741, 4247, 269, 5015, 267, 789, 1616, 547, 1118, 741, 5561, 685, 2729, 1732, 676, 3246, 585, 741, 2596, 1489, 2115, 269, 769, 1840, 267, 789, 849, 3343, 2994, 547, 1118, 741, 2729, 4443, 563, 2414, 581, 2500, 538, 741, 2990, 267, 513, 1489, 11832, 2115, 547, 581, 513, 1390, 3868, 1807, 269, 29179, 7218, 5528, 267, 26050, 267, 543, 1344, 568, 851, 540, 519, 2816, 269, 1358, 949, 849, 2154, 3606, 2792, 1983, 547, 2327, 602, 789, 10146, 543, 3314, 1018, 568, 7150, 269, 1358, 616, 5827, 540, 7561, 7421, 267, 26762, 267, 543, 5870, 1022, 7355, 519, 7817, 6499, 547, 5968, 269, 898, 568, 1813, 547, 3606, 2792, 1983, 899, 3742, 6947, 543, 9301, 1875, 31646, 10291, 563, 19119, 2986, 589, 26225, 8081, 4518, 518, 454, 2690, 596, 547, 5265, 10146, 519, 1909, 540, 513, 9659, 1489, 11832, 267, 596, 1590, 1101, 581, 3222, 540, 519, 1082, 5686, 540, 4170, 269, 30850, 267, 11760, 519, 3747, 585, 7463, 948, 585, 1004, 609, 9124, 269, 8081, 5234, 2818, 616, 3743, 585, 1896, 4247, 4470, 593, 519, 2115, 540, 741, 7218, 269, 589, 1489, 1268, 3091, 6351, 538, 513, 3099, 540, 2127, 602, 2337, 596, 1205, 998, 519, 2591, 596, 1995, 1169, 1554, 269, 634, 1739, 616, 519, 1292, 2127, 540, 6351, 912, 19423, 619, 26859, 2060, 5600, 3835, 932, 2803, 454, 2026, 4648, 3246, 9659, 1489, 267, 789, 616, 8078, 730, 547, 5781, 1683, 741, 7218, 609, 538, 25571, 1489, 269, 1306, 513, 1267, 540, 741, 7817, 779, 2783, 267, 789, 2709, 6351, 538, 519, 1753, 676, 29000, 609, 7622, 4247, 269, 13966, 609, 5986, 267, 7738, 267, 543, 17365, 10918, 267, 621, 849, 2882, 6283, 269, 3958, 267, 789, 1590, 948, 519, 7817, 538, 11543, 811, 7115, 563, 17809, 728, 8081, 1280, 9608, 5516, 454, 288, 9659, 1489, 11832, 814, 519, 1898, 5539, 540, 3246, 3232, 2123, 1416, 585, 1004, 609, 23043, 269, 1452, 9021, 1331, 4543, 873, 2226, 1697, 30933, 543, 9882, 607, 1134, 607, 21528, 873, 609, 741, 9659, 3292, 269, 769, 1840, 267, 789, 1131, 1683, 9867, 2157, 540, 6351, 1759, 593, 741, 7218, 685, 2115, 269, 634, 4247, 2838, 547, 2709, 25191, 948, 666, 12212, 581, 4101, 543, 14053, 269, 2060, 2614, 6044, 267, 789, 786, 1451, 519, 1983, 543, 1344, 2877, 547, 979, 998, 891, 2591, 269, 5047, 267, 789, 849, 1683, 1164, 7779, 948, 547, 16981, 1004, 563, 10112, 1235, 2060, 16508, 8081, 454, 10144, 945, 723, 23043, 949, 1745, 9678, 689, 2486, 610, 4805, 1317, 789, 616, 8572, 547, 2170, 609, 1866, 269, 634, 1079, 7907, 602, 513, 11832, 1058, 1871, 1034, 616, 9639, 543, 1620, 269, 5015, 267, 513, 1489, 11832, 786, 849, 1397, 8296, 543, 11587, 547, 741, 7218, 269, 589, 1268, 779, 11411, 666, 1419, 581, 7494, 4389, 950, 789, 5968, 609, 2576, 945, 3217, 519, 942, 547, 1174, 741, 4170, 269, 1635, 12180, 2238, 543, 3246, 3929, 1489, 267, 789, 616, 3384, 513, 2146, 540, 2828, 269, 4706, 6662, 568, 547, 5000, 543, 5512, 873, 547, 2661, 741, 1655, 2729, 563, 288, 573, 769, 634, 4886, 2986, 4804, 2806, 1988, 454, 30267, 11970, 1023, 945, 4196 ]

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