SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 0, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 2171, 10093, 1405, 1336, 1022, 8039, 538, 519, 8912, 4025, 563, 20062, 2969, 25758, 590, 26041, 11553, 8577, 5058, 454, 1432, 13201, 2142, 523, 519, 10020, 540, 3590, 1738, 15154, 538, 519, 3778, 454, 3963, 1772, 8278, 937, 6291, 4515, 2224, 7324, 12409, 5369, 5505, 888, 6872, 824, 6810, 711, 3254, 454, 8448, 21820, 910, 7348, 782, 454, 1464, 9740, 8404, 2534, 18273, 4079, 13672, 6329, 2831, 813, 518, 4003, 3344, 5316, 1081, 3069, 645, 269, 674, 269, 16164, 1676, 2596, 2623, 1235, 6915, 12890, 3724, 6211, 8695, 2634, 19839, 518, 3848, 1126, 18412, 670, 1638, 8106, 14555, 4928, 5042, 5042, 1922, 1752, 6530, 1523, 2528, 5397, 12409, 10017, 1995, 8097, 28706, 1620, 1377, 31399, 625, 12200, 6530, 1745, 1599, 30123, 5306, 1922, 1752, 6690, 3804, 22489, 1299, 18007, 4173, 321, 691, 1014, 1480, 2623, 1480, 2065, 2093, 1367, 17916, 4030, 15859, 4987, 5872, 17271, 8404, 3238, 918, 4669, 10197, 514, 1565, 3069, 1797, 2964, 2065, 6497, 2790, 9015, 2247, 2470, 11409, 3615, 835, 781, 1766, 656, 11248, 19773, 4806, 1268, 2168, 12214, 2990, 3741, 1966, 5626, 1604, 3483, 2543, 15699, 6935, 2078, 3210, 590, 7304, 14555, 3621, 2631, 3510, 1514, 2230, 17003, 2497, 4305, 4116, 3450, 543, 1565, 4255, 28466, 3069, 540, 1565, 3069, 540, 8404, 3206, 2219, 512, 542, 4483, 540, 1565, 3840, 0, 268, 4065, 543, 3163, 14872, 454, 268, 5020, 7070, 14872, 454, 268, 24538, 338, 1299, 645, 13903, 454, 763, 27578, 623, 753, 344, 19643, 12187, 454, 763, 27578, 623, 753, 344, 19643, 12187, 454, 763, 22630, 610, 27578, 623, 753, 344, 19643, 12187, 568, 849, 1634, 607, 9947, 8205, 693, 527, 956, 267, 543, 568, 689, 519, 715, 8233, 531, 13160, 7731, 269, 634, 1016, 26967, 568, 715, 8233, 531, 2088, 324, 563, 1607, 568, 513, 9341, 18173, 267, 865, 1346, 540, 721, 2713, 3544, 540, 16444, 20092, 543, 14135, 4465, 1405, 581, 7487, 873, 1419, 538, 519, 1390, 13964, 1141, 649, 616, 269, 1717, 267, 594, 729, 18822, 2614, 547, 7001, 519, 8666, 1657, 538, 513, 9341, 18173, 11122, 2218, 711, 1932, 2484, 689, 1141, 594, 2661, 269, 594, 1810, 1405, 723, 1082, 5961, 540, 873, 267, 15069, 267, 610, 594, 1131, 581, 4687, 873, 1934, 269, 594, 4126, 547, 7001, 811, 6337, 540, 873, 538, 519, 2104, 2705, 563, 8170, 519, 2185, 623, 753, 344, 17984, 267, 519, 27578, 623, 753, 344, 568, 519, 4686, 560, 267, 10423, 569, 269, 1411, 666, 3006, 1265, 873, 1166, 32211, 676, 538, 519, 3636, 6505, 7943, 267, 2523, 2282, 1930, 6371, 344, 2127, 269, 1403, 972, 616, 15496, 26965, 267, 789, 899, 1346, 782, 519, 811, 563, 763, 12209, 3966, 540, 713, 7168, 18173, 568, 9170, 689, 476, 4649, 547, 476, 4792, 6515, 2066, 269, 1306, 585, 1018, 789, 899, 547, 3548, 267, 519, 27578, 623, 753, 625, 2648, 547, 3548, 4829, 267, 607, 596, 7747, 538, 519, 3381, 2630, 269, 594, 723, 2938, 6337, 540, 519, 15454, 31781, 344, 849, 905, 8463, 593, 519, 22060, 689, 5810, 267, 607, 568, 3020, 585, 1082, 17984, 269, 1403, 972, 616, 930, 9341, 5810, 7404, 267, 789, 786, 2693, 3643, 873, 607, 789, 616, 2111, 563, 763, 30746, 723, 1044, 1634, 547, 3049, 593, 5754, 326, 5268, 10042, 269, 634, 2385, 18173, 23933, 922, 5798, 593, 519, 3617, 3984, 2371, 267, 865, 602, 2390, 554, 10248, 267, 519, 2370, 30746, 723, 1426, 547, 3548, 1318, 2476, 543, 1332, 865, 789, 666, 1205, 547, 741, 1985, 3942, 538, 1272, 563, 763, 1292, 2681, 568, 15454, 540, 1576, 267, 855, 594, 723, 2938, 849, 8645, 267, 3043, 267, 3109, 267, 6960, 267, 16009, 267, 543, 513, 3787, 540, 3592, 10538, 2681, 593, 930, 540, 519, 9634, 602, 1413, 513, 3787, 899, 3750, 9634, 3006, 267, 799, 666, 948, 609, 5329, 930, 11975, 693, 15922, 610, 693, 2547, 11821, 2614, 547, 4413, 856, 593, 513, 7594, 1500, 676, 891, 6653, 2370, 17984, 269, 2290, 6609, 2285, 891, 17984, 607, 2348, 513, 11909, 543, 3109, 522, 3250, 328, 269, 1306, 609, 1082, 17984, 267, 519, 9207, 1938, 616, 1454, 811, 12779, 267, 799, 2337, 547, 5351, 538, 31491, 720, 585, 4027, 269, 4469, 4770, 922, 12209, 1930, 593, 824, 14026, 2636, 1866, 540, 922, 2186, 547, 1265, 1142, 824, 563, 2690, 513, 1279, 942, 267, 713, 18173, 11821, 803, 269, 594, 2219, 621, 729, 513, 3043, 890, 659, 1442, 18173, 267, 1759, 593, 513, 7008, 540, 1250, 12326, 267, 543, 1256, 5206, 827, 621, 1373, 513, 3043, 890, 659, 1442, 269, 594, 1185, 1776, 1268, 24963, 2671, 1018, 789, 2219, 621, 729, 267, 543, 1310, 2417, 3168, 267, 7691, 602, 713, 568, 8197, 513, 15454, 31781, 344, 18173, 269, 1924, 1631, 267, 594, 723, 602, 782, 23498, 909, 543, 594, 993, 865, 19914, 563, 4415, 782, 1250, 4015, 540, 2835, 543, 1344, 593, 17984, 936, 519, 1296, 267, 594, 993, 27086, 811, 3884, 1405, 2854, 827, 891, 17681, 2370, 7068, 563, 763, 27578, 31781, 344, 568, 513, 3501, 2012, 2731, 267, 950, 596, 1413, 693, 519, 12209, 269, 634, 7801, 3884, 1405, 1932, 1454, 547, 2328, 1753, 827, 267, 855, 621, 568, 4190, 782, 519, 1482, 563, 15100, 14645, 476, 1001, 273, 676, 744, 10895, 985, 12584, 1115, 269, 2353, 7126, 27616, 269, 0, 9199, 1188, 3584, 593, 12108, 25397, 3584, 602, 616, 1271, 547, 596, 454, 1103, 513, 3105, 1353, 267, 3173, 1336, 2963, 547, 2303, 602, 8095, 11399, 4226, 23993, 630, 306, 8016, 264, 729, 3152, 538, 22130, 270, 10520, 819, 4496, 27524, 531, 322, 4094, 728, 10636, 739, 23461, 982, 538, 2834, 22130, 269, 769, 6240, 267, 713, 7613, 568, 513, 2556, 32563, 585, 519, 8095, 8065, 1198, 630, 306, 4047, 1070, 2943, 7766, 4255, 547, 2268, 519, 1062, 781, 590, 4047, 5795, 21016, 5477, 2164, 269, 769, 513, 1957, 3370, 713, 5147, 538, 30594, 4131, 1562, 267, 3173, 540, 519, 15096, 301, 273, 11933, 3749, 543, 32492, 15089, 657, 7220, 6828, 267, 3366, 676, 15096, 3918, 288, 4515, 269, 5153, 7315, 29157, 267, 941, 2111, 547, 6166, 519, 7422, 540, 606, 8476, 590, 8016, 267, 607, 1134, 607, 15974, 513, 10257, 7778, 607, 547, 1946, 519, 590, 4047, 1223, 711, 581, 6027, 4603, 958, 563, 24314, 9137, 281, 1975, 514, 6384, 540, 22130, 6045, 998, 2706, 28669, 532, 301, 28692, 8121, 12087, 4041, 0, 320, 264, 7994, 513, 2623, 547, 12189, 630, 1729, 2901, 2333, 267, 6175, 267, 610, 1312, 264, 543, 1210, 2553, 8246, 538, 713, 1576, 267, 1544, 267, 14892, 267, 543, 17412, 538, 2854, 1106, 267, 513, 2623, 14842, 1788, 269, 5221, 713, 568, 513, 1382, 1788, 267, 707, 1957, 1058, 4766, 707, 1544, 538, 2614, 1469, 865, 602, 513, 3791, 5428, 1223, 21613, 621, 26008, 7490, 2491, 707, 1184, 1210, 834, 2041, 8326, 14842, 257, 2474, 543, 5773, 269, 7490, 3717, 547, 713, 14357, 952, 596, 723, 2055, 827, 513, 2623, 3903, 267, 855, 8275, 602, 713, 3903, 949, 6157, 581, 1500, 1510, 713, 14357, 779, 13170, 269, 12971, 2831, 610, 1582, 14194, 3439, 1229, 630, 9767, 616, 519, 7817, 264, 2623, 14842, 4566, 786, 581, 7608, 256, 634, 2698, 2623, 14842, 4674, 630, 5228, 15977, 8343, 547, 3498, 540, 519, 6304, 264, 631, 19851, 2196, 693, 2547, 476, 1015, 2395, 630, 2381, 3065, 540, 476, 278, 2395, 540, 6304, 14386, 630, 2750, 8526, 631, 19851, 581, 9516, 676, 519, 14357, 256, 1916, 321, 264, 1306, 513, 32745, 8379, 9331, 267, 596, 786, 991, 547, 1331, 538, 707, 1788, 9706, 1653, 630, 8145, 1897, 267, 1142, 540, 891, 6810, 814, 513, 1448, 1871, 267, 865, 952, 621, 568, 711, 6192, 596, 786, 10691, 581, 13752, 1346, 2798, 256, 2187, 20082, 6879, 677, 5758, 540, 1018, 707, 645, 9556, 4674, 729, 454, 307, 13759, 10263, 9502, 910, 5693, 3989, 267, 28507, 267, 22905, 630, 577, 4474, 513, 2623, 1299, 10691, 2866, 1983, 994, 293, 23341, 10495, 910, 1946, 7817, 568, 3257, 2623, 1299, 15699, 585, 3257, 2623, 630, 27398, 2078, 26008, 994, 20779, 16623, 540, 519, 7817, 4433, 1070, 607, 22317, 547, 707, 6304, 630, 2224, 1101, 4408, 1152, 540, 7817, 779, 1299, 631, 19851, 1331, 1018, 568, 707, 2078, 547, 713, 7817, 1496, 25147, 1018, 568, 707, 1808, 1569, 547, 713, 7817, 8627, 7481, 25332, 3569, 543, 5589, 1800, 3590, 1031, 910, 1590, 1331, 20231, 6151, 1239, 4015, 9212, 1031, 543, 693, 2547, 835, 3113, 547, 1397, 645, 9556, 3356, 538, 519, 30569, 630, 17920, 519, 5169, 1023, 609, 9501, 4488, 9281, 2975, 7389, 1239, 729, 6592, 1031, 8627, 994, 20373, 540, 5178, 5202, 6176, 454, 20373, 540, 3194, 5071, 6074, 543, 24117, 585, 3903, 630, 5723, 267, 9474, 3722, 4696, 267, 3092, 269, 543, 1946, 5697, 286, 994, 20373, 540, 27800, 1544, 268, 3557, 4010, 1018, 729, 707, 6388, 1184, 729, 543, 875, 596, 4481, 12290, 602, 1184, 630, 291, 4953, 288, 6579, 3633, 2614, 865, 519, 5467, 1223, 21613, 707, 1382, 25631, 10691, 292, 281, 5269, 590, 13543, 519, 5467, 17358, 12327, 16898, 14877, 1018, 22400, 21614, 4041, 568, 538, 519, 645, 9556, 1544, 267, 2059, 609, 4896, 3116, 602, 949, 581, 21528, 609, 713, 1544, 630, 10849, 13996, 267, 1544, 1676, 267, 26519, 267, 3092, 28593, 305, 1049, 324, 585, 1946, 5697, 24199, 27800, 1544, 630, 2254, 1946, 519, 7817, 2115, 606, 6304, 543, 29375, 302, 8100, 631, 19851, 581, 11855, 1934, 26695, 24342, 910, 1331, 1239, 540, 519, 15977, 543, 6304, 2164, 267, 543, 513, 11913, 6609, 540, 707, 968, 14588, 6900, 892, 2164, 630, 14551, 5013, 9236, 15977, 547, 6304, 1239, 734, 6343, 5949, 1210, 513, 6310, 2079, 540, 707, 1239, 26695, 30206, 910, 1215, 798, 596, 1589, 707, 1788, 2490, 856, 286, 3657, 596, 13854, 609, 2164, 286, 12984, 707, 1788, 513, 1967, 547, 596, 286, 7102, 9073, 596, 1500, 286, 1548, 1131, 596, 798, 8335, 1985, 942, 286, 7756, 6304, 602, 1522, 723, 5249, 1732, 286, 1548, 568, 707, 9501, 4488, 9281, 2975, 1544, 585, 5826, 543, 31633, 540, 713, 2623, 630, 300, 19851, 1224, 538, 3848, 476, 1321, 547, 1451, 1018, 547, 2322, 1934, 8627, 7565, 16838, 952, 519, 2623, 568, 711, 4957, 607, 5551, 267, 596, 1869, 991, 4566, 585, 2899, 519, 5551, 2623, 568, 6913, 14386, 286, 1548, 1705, 9358, 19845, 27073, 827, 3257, 513, 645, 7116, 1788, 630, 23813, 9501, 4488, 9281, 2975, 1299, 711, 9215, 302, 15562, 18306, 593, 707, 8292, 1934, 2901, 8627, 14386, 11631, 888, 17920, 4574, 786, 2270, 607, 513, 32745, 8379, 9331, 513, 2140, 2985, 267, 7493, 2985, 267, 4367, 3296, 267, 1505, 3296, 267, 2164, 3296, 267, 4704, 2985, 630, 300, 19851, 723, 693, 2547, 476, 277, 8100, 1031, 538, 519, 1957, 543, 11855, 593, 519, 4704, 2985, 256, 1070, 4890, 1239, 4015, 9212, 1031, 267, 543, 513, 5750, 24223, 1312, 15977, 543, 6304, 3356, 269, 20231, 4574, 786, 1590, 581, 5595, 17898, 3166, 543, 946, 476, 1321, 15304, 13944, 2450, 269, 634, 1957, 1058, 581, 25411, 9482, 538, 519, 1283, 2451, 7944, 1152, 630, 4777, 10691, 2322, 519, 1788, 538, 513, 17835, 32656, 5272, 2985, 630, 16838, 27589, 264, 631, 19851, 723, 519, 14905, 2985, 20927, 543, 2985, 1297, 593, 621, 2336, 323, 264, 634, 3804, 540, 713, 1788, 568, 547, 6673, 12195, 312, 1018, 596, 723, 4121, 689, 713, 1576, 267, 12570, 27380, 543, 2565, 3206, 538, 513, 2361, 3498, 563, 272, 28479, 22083, 1609, 5451, 540, 1068, 18372, 900, 544, 2946, 29953, 1269, 28192, 16948, 1609, 324, 911, 4472, 14833, 454, 19350, 568, 1250, 11556, 281, 476, 272, 269, 10263, 547, 12189, 281, 21183, 1145, 630, 1729, 6175, 621, 264, 476, 273, 269, 10613, 281, 8007, 5750, 267, 2318, 15699, 267, 11295, 8430, 476, 274, 269, 5915, 16623, 281, 1453, 267, 476, 275, 268, 276, 1296, 2025, 0, 22546, 540, 13216, 1744, 8172, 18963, 593, 7353, 18240, 6776, 26275, 1299, 6820, 5295, 8672, 31855, 13048, 994, 16085, 2466, 320, 717, 6951, 327, 623, 778, 335, 663, 272, 267, 4515, 269, 623, 1678, 1690, 670, 269, 2098, 2100, 273, 267, 30267, 269, 590, 269, 681, 269, 590, 1116, 22894, 274, 454, 22333, 9906, 267, 1546, 696, 269, 540, 5082, 269, 1299, 17791, 5570, 267, 9399, 6630, 779, 595, 744, 661, 267, 297, 531, 8615, 517, 267, 300, 1695, 541, 30773, 267, 19328, 272, 454, 10112, 9665, 7905, 267, 1546, 696, 269, 540, 5082, 269, 1299, 17791, 5570, 267, 9399, 6630, 779, 595, 744, 661, 267, 297, 531, 8615, 517, 267, 300, 1695 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3018, 3516, 2063, 11728, 630, 320, 3018, 1354, 2063, 11728, 1916, 4002, 519, 6640, 540, 10732, 729, 6830, 9519, 1354, 8285, 281, 593, 519, 6640, 540, 519, 10732, 602, 729, 1079, 4374, 1354, 519, 10732, 1991, 547, 8285, 563, 5825, 539, 547, 5815, 4365, 267, 2011, 2298, 267, 610, 519, 899, 563, 2005, 568, 3905, 538, 14151, 267, 855, 621, 568, 711, 2356, 18519, 563, 3963, 568, 621, 865, 4158, 538, 1934, 888, 2414, 2291, 610, 13789, 538, 513, 1978, 1259, 563, 30948, 798, 649, 798, 8119, 834, 2171, 581, 6000, 4799, 3963, 568, 646, 1373, 8799, 547, 803, 888, 2414, 4043, 547, 798, 267, 1419, 798, 282, 7436, 519, 3110, 3770, 2460, 563, 269, 4746, 1336, 538, 7135, 267, 2523, 522, 23411, 267, 552, 3052, 269, 1917, 528, 571, 563, 2414, 2291, 2965, 267, 610, 538, 519, 1158, 540, 1249, 282, 547, 723, 6228, 563, 2414, 581, 9115, 1010, 2067, 7287, 563, 2414, 581, 267, 610, 711, 547, 581, 281, 602, 568, 519, 2243, 563, 2414, 2291, 538, 513, 1978, 6073, 610, 6935, 267, 910, 2436, 607, 513, 4641, 610, 607, 513, 1587, 540, 2219, 282, 547, 2291, 607, 519, 1641, 540, 513, 1978, 2392, 6510, 267, 602, 568, 267, 607, 2348, 513, 1978, 14487, 267, 610, 607, 10362, 547, 513, 1978, 4990, 267, 610, 607, 9838, 609, 1018, 568, 9138, 267, 910, 513, 2262, 610, 1913, 585, 519, 2392, 6510, 1373, 24509, 539, 282, 607, 267, 547, 581, 6126, 282, 547, 581, 1934, 282, 547, 581, 1804, 267, 610, 2178, 282, 547, 581, 606, 3662, 282, 547, 581, 513, 5869, 282, 547, 581, 513, 1875, 550, 640, 282, 1614, 543, 1079, 616, 2947, 282, 3045, 8811, 7976, 568, 519, 29696, 540, 6228, 282, 602, 568, 519, 812, 563, 2414, 1491, 1747, 282, 547, 4755, 282, 607, 267, 519, 5870, 729, 593, 13628, 563, 2414, 24901, 282, 547, 2099, 610, 21843, 282, 547, 2626, 547, 563, 763, 2361, 568, 519, 1158, 563, 763, 5722, 4796, 331, 4382, 802, 799, 23524, 4718, 652, 616, 519, 5722, 13039, 563, 288, 1769, 2178, 28221, 12457, 6757, 536, 20884, 17285, 3693, 454, 5970, 519, 2298, 540, 1373, 282, 630, 19817, 3121, 267, 1031, 609, 606, 18781, 610, 513, 2392, 6510, 10902, 11850, 11990, 568, 3638, 454, 1607, 568, 711, 513, 1434, 2626, 454, 6826, 9838, 547, 282, 581, 2576, 610, 1945, 3248, 763, 7022, 540, 519, 2754, 568, 3627, 8055, 454, 1607, 568, 1250, 2777, 454, 30999, 1575, 344, 513, 1978, 2990, 610, 1858, 282, 581, 12341, 3248, 8489, 568, 1250, 22597, 888, 763, 2645, 1117, 568, 538, 519, 1394, 454, 1432, 568, 3297, 713, 2623, 888, 5970, 606, 6228, 267, 581, 31607, 3248, 3674, 972, 513, 2696, 888, 295, 1952, 523, 267, 2049, 267, 1491, 1747, 3248, 296, 4503, 1250, 23129, 282, 713, 729, 1282, 519, 3643, 547, 1250, 3237, 262, 2777, 454, 2467, 941, 1079, 4627, 1004, 693, 1010, 24133, 454, 2467, 729, 513, 2603, 540, 6846, 538, 519, 10051, 454, 6826, 9838, 610, 6697, 547, 3248, 3080, 13362, 11224, 476, 272, 267, 1822, 6299, 956, 891, 2395, 2336, 13528, 610, 17492, 3248, 1607, 2724, 568, 1250, 1152, 4747, 454, 763, 6149, 3774, 729, 519, 20457, 585, 519, 2773, 454, 4322, 13822, 1250, 3003, 10362, 454, 763, 1453, 1500, 909, 519, 669, 11501, 454, 1607, 2040, 4564, 1250, 3003, 4747, 585, 513, 1032, 454, 4322, 1906, 2367, 17663, 1010, 3003, 7952, 454, 13480, 538, 513, 1808, 1747, 267, 609, 513, 1808, 1641, 267, 610, 538, 513, 1808, 1599, 3248, 3891, 568, 513, 1200, 7065, 6048, 454, 9515, 568, 938, 17055, 14544, 454, 11847, 6974, 267, 607, 540, 513, 1915, 593, 3942, 3248, 291, 699, 330, 10496, 11893, 729, 17283, 454, 8967, 754, 610, 946, 942, 3248, 296, 949, 581, 606, 5662, 454, 5970, 1272, 267, 581, 9800, 3248, 5978, 1390, 6205, 568, 1100, 811, 454, 7069, 22516, 5030, 2394, 519, 1439, 540, 2112, 454, 2414, 2611, 796, 28485, 6479, 267, 3768, 626, 32328, 267, 610, 796, 5793, 32152, 4534, 1031, 1152, 538, 31208, 1438, 1106, 3248, 4131, 1200, 581, 454, 6826, 11720, 539, 693, 3248, 4322, 10887, 1942, 1269, 1911, 0, 288, 3101, 568, 513, 2067, 851, 540, 1272, 267, 543, 607, 596, 1332, 4587, 707, 1560, 786, 1689, 538, 513, 1297, 540, 2081, 269, 1411, 949, 849, 723, 513, 2362, 4960, 540, 3384, 1007, 1072, 4145, 607, 596, 2212, 883, 707, 9972, 1296, 267, 971, 607, 5042, 7771, 267, 2042, 609, 3666, 267, 8519, 5642, 1072, 267, 543, 2799, 2295, 2068, 1981, 269, 634, 1434, 3377, 568, 602, 621, 779, 2009, 547, 948, 11574, 2192, 2360, 950, 596, 2461, 11439, 609, 519, 1318, 1702, 269, 22353, 267, 1934, 616, 513, 1906, 4145, 547, 1832, 538, 2247, 607, 596, 1205, 4587, 912, 7197, 1004, 1995, 930, 1377, 540, 5042, 7771, 607, 789, 1332, 4587, 267, 971, 607, 30281, 16365, 3206, 610, 2042, 609, 3965, 269, 11524, 786, 1995, 811, 3978, 2360, 267, 971, 607, 519, 12110, 2589, 2404, 609, 12216, 779, 543, 824, 5042, 4713, 269, 769, 1840, 547, 8345, 6923, 267, 5042, 7771, 666, 849, 13173, 2564, 4713, 543, 6527, 269, 769, 519, 2680, 267, 596, 6560, 609, 3965, 2530, 267, 1205, 4503, 538, 5432, 4025, 267, 610, 1995, 606, 17418, 547, 1685, 6296, 4247, 267, 2911, 609, 513, 10629, 1318, 2476, 269, 589, 4387, 949, 581, 2111, 547, 948, 596, 3500, 519, 2557, 540, 7771, 543, 2087, 17133, 563, 2026, 6045, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 8813, 616, 519, 3056, 2014, 540, 5945, 543, 5945, 2669, 585, 4892, 9907, 476, 4792, 543, 4587, 269, 589, 14124, 2887, 666, 1267, 538, 7745, 7633, 267, 2212, 7063, 267, 543, 1082, 824, 3978, 1072, 2360, 269, 1656, 538, 1082, 8320, 267, 3666, 2152, 616, 547, 16620, 585, 9972, 8813, 269, 10819, 609, 3666, 666, 2049, 585, 782, 12204, 540, 4128, 267, 1519, 912, 291, 20063, 2390, 5612, 7555, 267, 2348, 606, 13417, 1737, 344, 32376, 543, 4743, 899, 596, 666, 1406, 1852, 707, 1560, 950, 6972, 782, 5365, 602, 596, 2461, 7680, 513, 3666, 3390, 269, 769, 713, 2013, 267, 621, 779, 1655, 547, 3346, 513, 4387, 1318, 2476, 547, 3313, 519, 5817, 2014, 563, 302, 4614, 18576, 568, 513, 2783, 602, 5540, 1082, 4587, 4079, 267, 2523, 2021, 269, 1879, 596, 723, 21404, 267, 5642, 5160, 786, 16956, 4733, 693, 513, 1454, 14887, 2557, 267, 799, 6971, 5642, 2527, 269, 1306, 513, 1267, 267, 596, 3580, 723, 513, 2362, 1981, 540, 5642, 18655, 267, 799, 616, 1419, 27676, 585, 20650, 269, 769, 1840, 547, 18460, 5642, 5860, 4152, 2899, 1169, 1079, 1296, 610, 865, 267, 596, 666, 849, 5818, 5642, 1072, 676, 2921, 6171, 667, 543, 7513, 9360, 563, 6097, 547, 519, 2817, 4659, 593, 28544, 267, 1004, 9907, 476, 4792, 543, 4587, 723, 513, 2362, 1981, 540, 2295, 6285, 267, 18116, 267, 543, 2295, 2068, 269, 901, 15398, 1981, 2164, 689, 2242, 547, 519, 2295, 543, 1973, 8043, 267, 799, 568, 513, 851, 540, 519, 10172, 1184, 269, 1717, 267, 596, 666, 948, 15558, 713, 1981, 676, 3056, 513, 2635, 6197, 269, 14856, 27357, 267, 14312, 1426, 267, 16706, 5781, 267, 543, 16069, 7296, 666, 782, 948, 1832, 707, 1072, 1134, 883, 707, 11344, 1296, 269, 1411, 1058, 849, 8430, 606, 13393, 609, 513, 2564, 8502, 5612, 952, 596, 1995, 2589, 540, 2295, 2068, 267, 971, 607, 1928, 610, 3389, 1465, 538, 519, 9221, 563, 16605, 538, 2247, 602, 596, 917, 707, 1560, 1732, 982, 4896, 269, 1306, 513, 1267, 267, 596, 1590, 8430, 606, 13393, 609, 513, 4387, 952, 596, 1995, 1007, 2589, 610, 3494, 602, 707, 1072, 568, 538, 7771, 269, 23560, 865, 2636, 596, 547, 11851, 3152, 1852, 936, 707, 1072, 543, 9716, 267, 607, 1134, 607, 1265, 519, 1697, 2126, 585, 1018, 513, 2812, 596, 269, 1411, 666, 849, 946, 1007, 2029, 547, 2327, 513, 14942, 1935, 547, 1072, 2152, 563, 763, 1863, 3220, 302, 342, 331, 813, 2306, 621, 4443, 982, 2479, 547, 4383, 707, 1072, 2115, 267, 799, 568, 2629, 547, 10172, 538, 1747, 269, 769, 1840, 547, 4687, 707, 2189, 2564, 1686, 609, 1866, 267, 1519, 6068, 3283, 267, 15637, 267, 543, 7189, 267, 713, 813, 849, 2488, 1569, 547, 10629, 2389, 27434, 2200, 827, 707, 1808, 2175, 269, 1411, 666, 849, 3362, 1039, 707, 2564, 1344, 689, 3782, 7426, 899, 22622, 10506, 267, 24310, 267, 543, 5215, 540, 824, 7426, 269, 11109, 1732, 1852, 936, 707, 2564, 2115, 543, 513, 1732, 1620, 540, 707, 1072, 666, 948, 596, 547, 1205, 1732, 1416, 543, 4093, 267, 1100, 2339, 707, 2085, 269, 0, 300, 4785, 2752, 631, 10976, 30121, 1547, 634, 4053, 541, 3350, 585, 1367, 1582, 7721, 8727, 543, 5683, 25430, 3262, 1851, 4571, 5991, 12078, 10601, 26403, 1014, 4035, 787, 1310, 922, 15713, 676, 962, 529, 571, 390, 378, 601, 6428, 534, 614, 630, 8687, 271, 1700, 6642, 274, 1040, 1924, 1572, 689, 519, 12355, 2165, 1660, 541, 9497, 996, 923, 267, 6044, 19823, 519, 4053, 541, 3350, 666, 581, 9763, 607, 835, 540, 519, 1101, 8942, 538, 9456, 2342, 547, 10891, 2757, 626, 10580, 1369, 6014, 2486, 538, 2413, 3029, 267, 4352, 922, 1279, 3856, 9371, 543, 3310, 7283, 3908, 547, 519, 26403, 1014, 9811, 327, 643, 582, 563, 763, 4053, 541, 16809, 729, 4646, 1282, 519, 1762, 962, 529, 571, 390, 378, 601, 6428, 534, 614, 781, 19939, 4458, 865, 30394, 333, 538, 6428, 656, 1282, 519, 476, 9264, 271, 338, 543, 476, 8146, 271, 338, 269, 1703, 267, 538, 1840, 547, 8236, 17117, 540, 13669, 31053, 538, 519, 3044, 6073, 267, 6428, 534, 614, 3357, 896, 519, 3310, 540, 519, 23920, 569, 556, 5477, 4137, 962, 846, 325, 2098, 1495, 601, 540, 6428, 656, 269, 2098, 1495, 601, 13991, 1010, 3007, 547, 519, 5683, 3344, 540, 6014, 1876, 267, 799, 538, 1010, 2070, 1185, 1044, 20495, 269, 1261, 5156, 602, 538, 1931, 547, 7753, 519, 15673, 725, 540, 9409, 267, 2027, 3527, 941, 2556, 3564, 513, 7811, 1702, 540, 835, 781, 3656, 13800, 269, 1677, 713, 1439, 2098, 1495, 601, 2919, 513, 1062, 540, 2834, 1582, 20400, 543, 1353, 540, 5683, 5931, 267, 543, 646, 5189, 971, 10124, 607, 519, 17279, 540, 13669, 31053, 545, 6898, 593, 5683, 2152, 607, 513, 1259, 547, 16578, 519, 1697, 7099, 585, 9997, 5498, 31186, 269, 962, 529, 571, 390, 378, 601, 6428, 534, 614, 3710, 2390, 519, 1062, 540, 1010, 4487, 267, 855, 7429, 2098, 1495, 601, 646, 13986, 547, 1459, 519, 4053, 541, 14985, 547, 519, 2146, 693, 1804, 1369, 606, 10721, 5943, 563, 1103, 966, 559, 3534, 538, 519, 4571, 268, 7277, 271, 338, 267, 6428, 534, 614, 1500, 1010, 1101, 3646, 547, 3715, 513, 2527, 4053, 541, 3350, 269, 3493, 691, 532, 689, 519, 3044, 2259, 585, 9843, 540, 9811, 327, 643, 582, 267, 646, 4843, 513, 3126, 540, 1857, 12909, 9619, 711, 1152, 547, 5640, 855, 849, 547, 29048, 543, 1034, 3226, 547, 3413, 23308, 13473, 1870, 5443, 269, 6428, 534, 614, 1572, 585, 519, 10014, 540, 5683, 1568, 538, 519, 6437, 540, 22560, 1353, 602, 568, 1651, 3518, 550, 2390, 1169, 4035, 269, 6270, 1353, 267, 16310, 1818, 519, 1367, 3222, 540, 519, 5683, 9021, 23616, 4327, 676, 6014, 1876, 267, 1131, 849, 948, 1864, 5431, 543, 6560, 609, 1010, 17499, 25372, 543, 3142, 873, 896, 1852, 269, 1280, 713, 3483, 267, 6428, 534, 614, 1305, 909, 513, 1660, 541, 6879, 30909, 7441, 630, 312, 328, 1421, 834, 5264, 540, 5837, 6044, 8442, 1141, 267, 998, 519, 5916, 2259, 540, 9066, 543, 519, 1474, 828, 17279, 540, 5837, 5931, 267, 606, 14013, 3235, 18878, 1922, 792, 995, 7099, 1223, 581, 2813, 585, 519, 7237, 609, 3693, 531, 18653, 543, 11479, 269, 4438, 713, 966, 559, 3534, 1974, 267, 6428, 534, 614, 11231, 585, 519, 1065, 11781, 532, 540, 5929, 5683, 5931, 543, 13631, 519, 1101, 540, 1010, 1883, 20785, 563, 3528, 782, 23053, 267, 6428, 534, 614, 5497, 519, 4053, 541, 3350, 547, 2626, 519, 3463, 547, 2757, 4035, 787, 15054, 676, 519, 670, 2532, 531, 1695, 267, 519, 3350, 585, 6014, 21654, 267, 835, 540, 4171, 2101, 7740, 729, 538, 966, 559, 3534, 269, 5617, 773, 1324, 602, 4540, 5238, 1223, 711, 2743, 713, 8594, 267, 6428, 534, 614, 3079, 6836, 547, 24772, 519, 3909, 10121, 2906, 540, 519, 1367, 4035, 269, 3571, 8561, 593, 5683, 2623, 6920, 602, 6428, 534, 614, 3838, 1082, 540, 519, 670, 2532, 531 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3564, 9361, 29691, 513, 25087, 269, 2368, 9755, 5000, 6800, 547, 2132, 1031, 22788, 11276, 12217, 865, 789, 666, 581, 1065, 584, 12723, 883, 1007, 2472, 269, 11524, 1683, 5528, 593, 909, 19464, 3785, 267, 3850, 3885, 547, 13236, 1007, 1272, 883, 2025, 2828, 3079, 540, 1167, 8973, 873, 15587, 780, 2026, 4961, 7255, 827, 2916, 1689, 267, 649, 1404, 606, 1898, 1909, 1932, 269, 1879, 16213, 16018, 585, 14761, 267, 2015, 741, 18879, 593, 7863, 519, 1604, 269, 4340, 547, 2487, 2090, 267, 1034, 4892, 1107, 1519, 1472, 3368, 540, 17044, 17037, 1107, 4782, 10457, 945, 8362, 4339, 2916, 1689, 269, 2659, 5639, 6927, 267, 543, 7446, 3401, 8149, 547, 8497, 938, 4541, 786, 8300, 4213, 547, 1246, 9290, 780, 1103, 3932, 267, 1169, 2872, 814, 3255, 547, 2569, 922, 1764, 593, 2916, 1689, 269, 4634, 22788, 11276, 7703, 9755, 666, 1491, 3268, 2509, 6940, 998, 27126, 10357, 7888, 2326, 267, 12561, 3608, 3157, 267, 543, 8716, 9657, 269, 1306, 931, 2615, 1190, 2043, 267, 649, 1590, 1489, 22257, 3646, 5466, 2916, 1689, 543, 1528, 8387, 6131, 547, 17420, 938, 10475, 3047, 269, 2991, 782, 267, 945, 9327, 1405, 1616, 513, 15777, 267, 22928, 1158, 1141, 22788, 11276, 12217, 543, 824, 19644, 3688, 3142, 7772, 585, 5481, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1715, 3840, 5384, 1185, 606, 2376, 2221, 11331, 267, 4107, 4892, 8081, 6554, 11059, 593, 8693, 7827, 267, 15724, 4855, 338, 269, 589, 2487, 1353, 5342, 676, 1312, 519, 1715, 3840, 8648, 543, 18628, 2160, 8774, 1769, 593, 519, 4657, 14820, 540, 519, 1977, 1004, 543, 5310, 811, 11932, 1977, 966, 582, 619, 269, 634, 14081, 534, 5428, 568, 29200, 585, 922, 2990, 540, 2916, 1689, 267, 538, 1249, 594, 5206, 513, 5816, 2022, 2063, 19496, 593, 1018, 519, 14081, 534, 28735, 540, 519, 2063, 9550, 5921, 585, 2229, 2962, 593, 2916, 1689, 2507, 621, 729, 711, 23904, 269, 1924, 713, 1382, 3357, 607, 513, 6126, 9983, 269, 4706, 6679, 1899, 2829, 267, 602, 968, 2304, 11566, 5354, 540, 519, 1977, 1857, 267, 1519, 5176, 3368, 540, 25743, 267, 1489, 2229, 2962, 547, 26193, 2518, 8337, 2507, 1496, 663, 316, 1079, 22188, 540, 4892, 2161, 789, 616, 811, 2693, 547, 8917, 585, 2797, 10457, 945, 5859, 593, 8165, 2916, 1689, 1848, 634, 1353, 849, 1336, 602, 519, 5354, 540, 1004, 630, 663, 827, 3368, 540, 14081, 534, 17037, 264, 1131, 581, 5828, 1055, 676, 513, 11134, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 539, 11276, 19594, 631, 5474, 543, 13583, 20445, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23413, 11276, 645, 8986, 1299, 853, 4428, 539, 12292, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 6177, 3957, 27385, 10060, 1782, 945, 5030, 2282, 513, 4190, 15922, 269, 5272, 1032, 267, 607, 519, 12405, 4957, 543, 519, 4365, 8057, 21617, 267, 27385, 5433, 606, 28349, 4743, 538, 1010, 12209, 269, 901, 729, 1010, 1560, 781, 1259, 540, 10213, 1864, 602, 621, 729, 942, 585, 1864, 547, 8038, 5045, 585, 519, 5162, 2439, 306, 20632, 20705, 547, 513, 1895, 540, 5017, 1572, 5182, 13530, 269, 4438, 519, 4832, 3275, 267, 5182, 13530, 6068, 2713, 676, 519, 15922, 1317, 540, 782, 519, 8949, 12961, 789, 1223, 3548, 269, 1717, 267, 950, 2887, 8452, 267, 519, 2837, 12628, 267, 543, 972, 941, 7864, 12961, 547, 544, 4875, 593, 269, 2334, 781, 1946, 27385, 543, 1010, 1920, 4956, 547, 22109, 267, 610, 1847, 267, 547, 513, 15911, 1747, 1141, 1426, 1131, 581, 811, 10731, 780, 3080, 1554, 267, 27385, 10356, 782, 540, 1010, 2828, 543, 6045, 602, 621, 729, 942, 585, 873, 547, 4734, 269, 1261, 5143, 873, 827, 875, 646, 1185, 1044, 8384, 519, 6607, 543, 8068, 602, 519, 2395, 941, 3478, 10156, 543, 519, 17334, 3476, 269, 634, 3762, 593, 519, 4054, 941, 4657, 4778, 1932, 267, 7432, 2699, 267, 10538, 267, 543, 5835, 269, 2353, 540, 891, 4191, 4951, 602, 9194, 4005, 729, 16042, 780, 9202, 267, 27385, 14437, 827, 519, 2956, 540, 1739, 513, 4626, 564, 762, 1282, 741, 3460, 269, 3807, 899, 875, 631, 20207, 543, 667, 23098, 1500, 2386, 547, 6749, 27385, 1055, 693, 1153, 1169, 6640, 693, 476, 279, 522, 262, 22018, 267, 519, 5182, 13530, 2877, 547, 6529, 1927, 543, 1246, 1142, 824, 538, 513, 966, 5250, 1247, 10760, 269, 1635, 3257, 713, 267, 789, 24721, 1648, 543, 5280, 1142, 824, 3251, 593, 1576, 2509, 741, 10278, 780, 2026, 789, 5423, 547, 1491, 8184, 267, 27385, 18056, 3025, 547, 3142, 2614, 1216, 543, 16152, 585, 519, 1279, 7552, 6619, 269, 2368, 540, 519, 7820, 32138, 6743, 14126, 267, 6998, 952, 789, 1131, 1205, 4503, 610, 9674, 689, 519, 1895, 269, 27385, 15260, 3293, 873, 602, 789, 1131, 581, 15502, 607, 1279, 607, 789, 6854, 741, 4064, 593, 519, 2937, 5017, 3056, 519, 1259, 780, 7661, 267, 1310, 1818, 2386, 3025, 729, 4712, 267, 27385, 543, 1010, 1920, 3576, 547, 519, 22839, 269, 1306, 789, 24363, 936, 4610, 267, 7733, 267, 543, 10034, 267, 1004, 11074, 1018, 789, 941, 3257, 547, 4585, 519, 30811, 8289, 540, 7366, 540, 5017, 3001, 1927, 538, 10103, 269, 898, 6743, 899, 513, 9649, 5951, 13576, 998, 519, 2011, 267, 2870, 6946, 3270, 1996, 519, 20457, 540, 519, 4259, 3141, 780, 7628, 741, 3460, 267, 519, 5182, 13530, 11402, 1114, 2010, 540, 8916, 543, 9249, 269, 6884, 789, 4718, 5318, 1930, 11396, 4904, 609, 7031, 267, 3501, 585, 4466, 7786, 547, 3548, 269, 4033, 2053, 267, 789, 5293, 936, 18241, 16973, 1141, 7874, 3425, 2322, 856, 6177, 29650, 2407, 540, 5452, 585, 873, 269, 24269, 789, 1336, 513, 1434, 2707, 540, 1426, 267, 789, 1131, 1964, 585, 513, 3787, 1354, 11173, 741, 22116, 780, 30631, 1302, 267, 1310, 1082, 2395, 540, 10707, 267, 519, 5182, 13530, 6603, 741, 3636, 543, 22205, 10278, 269, 1703, 267, 789, 6170, 519, 5162, 575, 3073, 532, 2933, 593, 26345, 13000, 971, 607, 15708, 267, 5613, 267, 543, 7786, 269, 1879, 5614, 3357, 1472, 1586, 267, 789, 6785, 621, 729, 942, 547, 2132, 1753, 547, 519, 4190, 15922, 780, 4415, 17105, 4222, 267, 27385, 543, 1010, 1920, 24389, 593, 519, 2132, 3460, 269, 13966, 519, 1259, 267, 789, 14952, 539, 693, 519, 14393, 31397, 2242, 8345, 538, 2470, 910, 5810, 28480, 267, 8933, 678, 5241, 267, 543, 4816, 2831, 1373, 4535, 269, 7053, 267, 789, 8452, 1394, 693, 519, 15922, 1175, 538, 942, 585, 1776, 32219, 4832, 4005, 780, 5804, 1287, 593, 267, 8164, 2576, 10272, 519, 15922, 543, 19481, 513, 2220, 26325, 2527, 540, 5182, 13530, 15472, 2066, 519, 6607, 267, 789, 7948, 1405, 948, 855, 12837, 6616, 602, 1346, 941, 27385, 543, 1010, 1920, 13059, 1753, 1310, 1776, 3811, 9194, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9596, 827, 519, 20002, 540, 519, 7345, 454, 1103, 15489, 3226, 596, 666, 5544, 835, 540, 519, 1034, 5863, 24738, 540, 519, 15922, 1107, 9597, 332, 584, 902, 540, 9597, 332, 15342, 1107, 15999, 546, 23677, 10525, 540, 7366, 540, 5017, 267, 782, 2220, 334, 14563, 543, 8868, 532, 538, 796, 2581, 269, 1809, 519, 15922, 568, 1753, 547, 930, 4241, 7320, 782, 1032, 5180, 1107, 10544, 707, 10822, 22811, 338, 543, 2212, 547, 681, 9915, 289, 2274, 697, 517, 631, 1601, 267, 610, 3274, 1832, 707, 4064, 22019, 539, 950, 596, 2461, 856, 543, 827, 547, 5544, 930, 540, 891, 2199, 7264, 912, 4131, 779, 1376, 609, 519, 5182, 1782, 1107, 4352, 649, 3622, 1294, 873, 693, 513, 3845, 538, 5458, 1166, 4169, 267, 909, 2673, 789, 616, 11212, 7168, 5017, 609, 17207, 799, 3592, 695, 20810, 538, 519, 24106, 269, 1358, 2461, 711, 2182, 547, 5544, 9170, 538, 519, 5177, 630, 777, 691, 689, 519, 25568, 540, 519, 13677, 15113, 264, 855, 649, 616, 2523, 25552, 609, 873, 1472, 519, 15922, 269, 1924, 267, 950, 779, 519, 1655, 942, 547, 6952, 513, 9597, 332, 4851, 286, 4270, 267, 23679, 267, 596, 3580, 991, 513, 8799, 9602, 267, 9350, 10543, 267, 1472, 606, 5662, 610, 865, 1354, 23863, 1107, 4352, 7703, 538, 2247, 602, 2831, 616, 711, 2141, 4625, 22150, 269, 6744, 538, 530, 328, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12568, 18963, 543, 7033, 564, 1963, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 16819, 342, 10248, 20929, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 277, 281, 715, 8130, 1190, 5253, 932, 7860, 910, 3245, 10787, 916, 547, 3776, 23959, 692, 5970, 596, 2479, 2219, 827, 1141, 707, 1426, 2501, 689, 1354, 621, 4991, 547, 707, 6676, 286, 2913, 781, 1491, 513, 3460, 1927, 998, 519, 4241, 1158, 540, 8105, 267, 6484, 267, 543, 2635, 4189, 2439, 5331, 24971, 909, 693, 3141, 23438, 543, 9683, 513, 2199, 5214, 10683, 3484, 269, 1411, 1294, 16933, 21737, 25678, 538, 3039, 2250, 999, 267, 11981, 4195, 2011, 543, 7943, 269, 1452, 16933, 3132, 5144, 602, 786, 5555, 1831, 8949, 10381, 267, 18506, 267, 610, 4672, 8645, 269, 1809, 1705, 596, 917, 602, 10800, 23226, 666, 849, 581, 3730, 286, 26478, 899, 4460, 946, 713, 2067, 3653, 607, 13226, 547, 10802, 519, 3037, 543, 948, 1332, 1256, 811, 7031, 269, 901, 1184, 2982, 721, 519, 2956, 540, 4227, 1426, 3653, 543, 9001, 2200, 30396, 780, 3086, 1577, 781, 2263, 1776, 2460, 540, 6484, 1107, 1620, 1114, 2010, 540, 5946, 1336, 538, 938, 11326, 269, 26287, 1231, 616, 1898, 2679, 7161, 585, 938, 4703, 267, 4543, 547, 1628, 6091, 267, 8219, 267, 543, 824, 8031, 269, 2290, 1826, 540, 3940, 2707, 568, 5798, 267, 799, 2097, 689, 17944, 2713, 593, 11396, 269, 5620, 596, 2479, 2938, 9269, 1071, 3591, 610, 6394, 5798, 2786, 689, 519, 9566, 286, 898, 781, 3833, 606, 1995, 256, 14755, 1373, 17705, 267, 5798, 2270, 782, 8370, 1898, 11254, 7408, 2556, 585, 1480, 8192, 2115, 780, 5194, 9735, 3940, 4781, 568, 10365, 267, 799, 616, 11684, 22053, 14095, 609, 6775, 267, 8324, 267, 6886, 267, 543, 14434, 269, 1703, 616, 5215, 540, 21167, 8677, 5001, 267, 1142, 5356, 2189, 10366, 267, 4778, 267, 543, 18282, 269, 1280, 3236, 267, 3109, 10365, 723, 513, 3638, 267, 3618, 344, 6492, 267, 3501, 585, 1818, 2295, 344, 27130, 610, 29316, 546, 2354, 269, 11531, 267, 8459, 10365, 1039, 513, 6653, 24710, 950, 11273, 7444, 267, 4998, 585, 25970, 31625, 8286, 269, 1635, 6220, 891, 2030, 2861, 2959, 883, 6980, 267, 649, 3895, 1312, 2123, 1072, 543, 2825, 6940, 780, 4131, 781, 4685, 4514, 883, 5613, 543, 5388, 1107, 2470, 781, 10477, 16782, 16802, 532, 609, 1898, 5567, 269, 3962, 4829, 543, 10448, 3091, 922, 1378, 1305, 540, 2640, 269, 1280, 1383, 267, 17436, 616, 10731, 538, 12498, 21307, 582, 2940, 267, 5009, 3750, 1072, 267, 1247, 15708, 3640, 3532, 14434, 5885, 2634, 1599, 543, 3965, 269, 1656, 1810, 1405, 7340, 21364, 16719, 899, 22156, 543, 25989, 267, 16041, 609, 4401, 267, 7513, 267, 543, 31833, 267, 7700, 547, 2178, 7633, 267, 4522, 267, 543, 5027, 2504, 780, 7661, 267, 1577, 781, 2911, 827, 9274, 1107, 5452, 689, 6371, 3697, 2371, 602, 1683, 1648, 267, 645, 8324, 267, 543, 6775, 269, 19940, 9274, 971, 607, 6960, 7573, 267, 844, 29184, 267, 27046, 22596, 267, 543, 2898, 10568, 3694, 11677, 782, 1614, 2694, 540, 519, 10286, 630, 1962, 534, 267, 10351, 267, 1439, 657, 11279, 1070, 4180, 5021, 8770, 6981 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4388, 593, 875, 547, 2057, 10845, 538, 513, 2078, 563, 258, 3066, 269, 5153, 2476, 689, 30414, 3871, 281, 1879, 596, 1745, 899, 596, 2461, 4358, 547, 1205, 20714, 539, 267, 1900, 2476, 689, 602, 9183, 543, 1205, 4195, 2011, 547, 2057, 3478, 14220, 563, 258, 1789, 269, 17166, 1945, 8799, 547, 3054, 281, 17166, 1919, 899, 2048, 527, 779, 15502, 267, 596, 666, 798, 713, 610, 2048, 5632, 332, 1524, 685, 547, 2057, 10845, 856, 10767, 7370, 693, 602, 942, 563, 258, 4029, 269, 6056, 827, 1945, 16168, 281, 2290, 540, 519, 2081, 547, 2057, 10845, 568, 547, 1589, 540, 1945, 16168, 269, 31598, 513, 18792, 1397, 596, 14478, 267, 610, 1945, 602, 5949, 543, 1500, 596, 14902, 865, 2182, 269, 898, 3580, 948, 596, 1577, 979, 540, 519, 10845, 563, 258, 3953, 269, 6056, 540, 1761, 3435, 1354, 14775, 281, 901, 568, 1141, 596, 2285, 3054, 942, 547, 4383, 707, 10845, 267, 543, 2307, 3054, 1018, 596, 666, 798, 547, 1118, 519, 3510, 1732, 3079, 540, 1175, 18530, 513, 3514, 563, 1692, 1677, 28509, 4911, 518, 769, 589, 20556, 454, 2710, 596, 30122, 6336, 707, 3579, 543, 4898, 1946, 286, 1684, 596, 1205, 14220, 936, 519, 1396, 339, 23057, 540, 1919, 286, 3657, 972, 2395, 950, 596, 1745, 899, 596, 1175, 530, 5803, 909, 14220, 888, 11039, 267, 621, 1223, 581, 3339, 593, 930, 2395, 543, 711, 3339, 593, 824, 2395, 267, 865, 547, 948, 596, 1832, 519, 3666, 267, 649, 2322, 1927, 4190, 4388, 593, 875, 547, 4383, 10845, 538, 513, 2078, 563, 258, 3451, 269, 3503, 1524, 707, 4555, 543, 4664, 281, 1411, 2328, 1524, 538, 513, 4760, 267, 513, 2123, 267, 2230, 593, 707, 1514, 2923, 267, 607, 513, 6648, 267, 610, 1256, 607, 513, 5152, 18405, 269, 5675, 1524, 707, 4555, 543, 4606, 666, 948, 547, 2087, 875, 596, 1745, 563, 258, 4097, 269, 1411, 666, 2721, 1932, 281, 1403, 596, 723, 513, 1166, 1515, 585, 5373, 267, 31163, 17331, 267, 610, 11516, 4221, 707, 4555, 610, 4606, 666, 948, 12740, 707, 7099, 563, 258, 3374, 269, 6657, 25990, 281, 25990, 5932, 2790, 9355, 543, 4656, 269, 898, 666, 948, 2087, 513, 1268, 779, 2790, 1134, 5630, 269, 898, 849, 2337, 596, 547, 6001, 543, 9350, 707, 13285, 1932, 563, 258, 3607, 269, 6333, 519, 4539, 540, 707, 3527, 25656, 281, 901, 568, 1141, 596, 1589, 827, 1018, 568, 2693, 547, 1267, 689, 596, 3478, 14220, 269, 9105, 3054, 543, 1589, 827, 1018, 666, 4755, 952, 596, 616, 547, 27506, 909, 563, 1692, 1677, 6513, 15196, 23136, 4911, 518, 454, 3674, 707, 7911, 23136, 14220, 693, 596, 286, 5620, 596, 1044, 11842, 1018, 596, 666, 798, 547, 1118, 1919, 1732, 286, 3657, 596, 12922, 540, 6031, 1919, 865, 6927, 4465, 1406, 15583, 622, 888, 7775, 1281, 1010, 10845, 2014, 1864, 547, 798, 610, 2161, 10413, 995, 543, 1611, 1919, 286, 1937, 787, 711, 267, 1317, 713, 3391, 568, 1934, 547, 948, 607, 621, 779, 827, 875, 547, 1852, 7911, 23136, 10845, 563, 20055, 995, 4199, 281, 700, 8221, 707, 23947, 14955, 3431, 454, 258, 4391, 269, 4855, 856, 1946, 646, 779, 14220, 281, 1403, 596, 1810, 1406, 917, 1018, 519, 3390, 568, 267, 596, 4465, 1406, 581, 2111, 547, 1205, 513, 3070, 563, 258, 4343, 269, 12315, 1864, 519, 2230, 543, 942, 646, 2115, 281, 2659, 7911, 23136, 1522, 1175, 991, 930, 942, 547, 3579, 1055, 610, 9350, 1524, 269, 1403, 713, 568, 519, 2013, 267, 2463, 602, 543, 1810, 1406, 7903, 1932, 2182, 865, 646, 4465, 1406, 798, 1945, 596, 1312, 1131, 26845, 563, 258, 4375, 269, 7442, 860, 1125, 547, 1864, 281, 898, 779, 2141, 513, 1434, 2856, 547, 23294, 1125, 950, 596, 2461, 4636, 269, 898, 779, 519, 1318, 3364, 547, 798, 269, 1879, 596, 2461, 538, 519, 4636, 267, 1378, 909, 547, 621, 543, 23294, 1125, 563, 258, 2412, 269, 20644, 3929, 1489, 281, 2913, 1864, 917, 602, 596, 917, 646, 779, 14220, 543, 596, 1174, 269, 901, 2186, 540, 5114, 666, 948, 547, 9350, 1864, 513, 3787, 563, 258, 6078, 269, 11512, 707, 2427, 540, 1919, 281, 769, 513, 2078, 267, 540, 339, 550, 1307, 267, 24895, 1175, 4523, 267, 543, 1034, 540, 519, 942, 267, 621, 779, 607, 513, 1267, 540, 21390, 269, 2913, 707, 7911, 23136, 917, 707, 1448, 540, 2070, 593, 519, 2339, 646, 779, 14220, 827, 2523, 952, 646, 29144, 596, 610, 568, 14220, 936, 1945, 602, 3884, 1406, 3020, 563, 258, 5655, 269, 5213, 1406, 6318, 707, 5639, 281, 1684, 711, 586, 749, 693, 1864, 269, 1261, 1522, 798, 519, 1482, 1318, 1394, 693, 596, 269, 1656, 621, 4465, 1406, 1205, 596, 1312, 9170, 267, 1317, 596, 3580, 1312, 1175, 581, 586, 2454, 543, 14220, 563, 258, 6246, 269, 19415, 547, 1010, 2427, 540, 519, 1650, 281, 19415, 547, 1864, 18906, 1947, 543, 1810, 1406, 14443, 950, 646, 779, 3843, 547, 2491, 1919, 269, 20644, 513, 4143, 3210, 950, 646, 779, 2944, 563, 258, 4510, 269, 8058, 1864, 596, 1416, 827, 1864, 543, 2648, 1864, 1932, 281, 5272, 1268, 568, 1114, 543, 20362, 1167, 867, 538, 1114, 2081, 1932, 269, 1411, 1058, 917, 1018, 1568, 609, 707, 812, 269, 8058, 532, 1864, 596, 2648, 543, 1416, 827, 1864, 1522, 1175, 798, 519, 8945, 269, 1411, 666, 1205, 1010, 5172, 1426, 267, 15165, 610, 4235, 543, 596, 666, 5957, 1010, 5172, 10571, 540, 596, 1932, 563, 258, 3393, 269, 13648, 585, 1864, 281, 634, 1655, 1259, 547, 513, 812, 779, 2295, 568, 1010, 7181, 568, 2907, 513, 2442, 6031, 269, 1411, 666, 3434, 585, 1864, 1010, 5172, 7594, 610, 513, 1007, 11600, 596, 1175, 4121, 543, 1577, 1864, 917, 646, 779, 519, 1101, 1268, 547, 6492, 602, 11600, 689, 596, 563, 258, 5379, 269, 1290, 680, 2939, 1864, 281, 6468, 616, 711, 519, 1152, 3283, 945, 2648, 5360, 9323, 269, 15681, 1864, 875, 3946, 727, 646, 568, 950, 646, 779, 14220, 693, 596, 610, 875, 1010, 28459, 568, 9985, 1500, 585, 1864, 269, 2334, 1259, 267, 646, 4465, 1406, 581, 2111, 547, 2057, 596, 855, 12837, 3079, 693, 707, 5360, 9323, 563, 20055, 995, 4199, 281, 6653, 1919, 602, 31390, 1518, 1010, 10845, 454, 258, 5325, 269, 5080, 21215, 1864, 513, 2370, 281, 3503, 1864, 513, 1507, 4063, 6031, 875, 1454, 596, 2648, 1864, 267, 1491, 1864, 856, 593, 513, 991, 269, 3807, 2285, 1864, 1100, 811, 2601, 547, 1205, 14834, 693, 596, 563, 258, 4366, 269, 3911, 850, 693, 1864, 538, 519, 6653, 652, 1259, 2009, 281, 2659, 6653, 652, 12837, 1522, 1175, 581, 782, 621, 3217, 547, 1491, 2476, 1010, 10845, 269, 1261, 1522, 711, 1256, 8275, 646, 779, 32127, 1394, 693, 596, 2907, 563, 258, 5392, 269, 15579, 1864, 9395, 281, 1403, 646, 779, 2356, 519, 835, 547, 20006, 519, 804, 4923, 612, 267, 621, 1175, 581, 1522, 581, 519, 3501, 942, 547, 1397, 1864, 2648, 543, 707, 7911, 23136, 1522, 1175, 15835, 899, 7423, 693, 519, 23972, 563, 1692, 1677, 28509, 4911, 518, 769, 25141, 454, 1103, 7365, 267, 1079, 1004, 609, 1114, 14789, 543, 5380, 2097, 1927, 543, 2661, 896, 519, 1482, 8122, 269, 898, 779, 796, 28300, 762, 547, 1831, 14220, 610, 8886, 730, 563, 17951, 518, 666, 4268, 538, 22888, 1759, 593, 875, 922, 6829, 676, 835, 5428, 543, 7307, 676, 519, 824, 563, 306, 920, 5446, 693, 707, 7649, 610, 1139, 7675, 707, 10845, 1813, 547, 4250, 616, 711, 2635, 2081, 547, 4308, 609, 10845, 538, 7365, 267, 865, 1018, 798, 596, 798, 286, 12989, 616, 10274, 593, 875, 547, 4383, 10845, 538, 7365, 563, 20055, 995, 4388, 281, 7794, 707, 7365, 609, 891, 4388, 454, 258, 2004, 269, 2142, 3461, 281, 4911, 518, 1058, 711, 723, 513, 1747, 538, 707, 7365, 269, 1879, 707, 7649, 568, 14220, 267, 2119, 547, 581, 3461, 269, 1879, 835, 568, 838, 9231, 3595, 267, 519, 824, 1058, 581, 26311, 1216, 543, 711, 4946, 4492, 547, 519, 3595, 563, 258, 7906, 269, 5620, 513, 8483, 1516, 2295, 281, 1684, 711, 1205, 1932, 14220, 693, 707, 7649, 269, 6258, 547, 31799, 707, 7649, 269, 1284, 5609, 1996, 2696, 267, 649, 3343, 19807, 543, 1261, 8483, 1161, 721, 1932, 563, 258, 7367, 269, 17372, 519, 2339, 950, 707, 7649, 568, 9350, 281, 8347, 532, 547, 4194, 519, 3390, 950, 707, 7649, 568, 1869, 3905, 538, 10845, 786, 1152, 15583, 622, 519, 2339, 269, 1924, 3079, 267, 2232, 519, 2339, 950, 707, 7649, 568, 9350, 563, 258, 7871, 269, 1234, 6618, 532, 593, 2081, 602, 960, 585, 596, 1312, 281, 1358, 2461, 707, 7649, 543, 596, 1058, 917, 519, 14191, 2081, 547, 741, 12271, 269, 898, 1223, 581, 3478, 15982, 610, 7836, 2298, 942, 1927, 267, 2469, 593, 7389, 267, 610, 9140, 873, 13344, 269, 1733, 31295, 835, 1568, 585, 596, 267, 8756, 621, 547, 1818, 707, 7649, 6126, 609, 596, 1586, 563, 1692, 1677, 6513, 590, 5844, 8738, 7370, 2986, 4911, 518, 454, 15703, 1004, 1205, 14220, 3362, 267, 1256, 950, 519, 13581, 652, 1919, 4755, 269, 2368, 1810, 1406, 1589, 621, 779, 513, 1966, 267, 1247, 930, 616, 3222, 602, 621, 2115, 547, 3247, 563, 2710, 596, 3343, 513, 3070, 547, 707, 6727, 10845, 28377, 286, 1684, 596, 1616, 547, 798, 1732, 950, 596, 2461, 14220, 888, 19350, 616, 513, 1906, 1390, 4388, 593, 875, 547, 1852, 6727, 28377, 540, 10845, 269, 476, 7918, 269, 16514, 3054, 9350, 281, 19171, 707, 4064, 543, 4605, 3054, 9350, 269, 6423, 707, 1560, 17159, 676, 9363, 9350, 543, 5059, 563, 258, 4649, 269, 6056, 621, 998, 281, 6056, 827, 1946, 596, 2461, 3478, 14220, 782, 540, 513, 6727, 267, 543, 2307, 3054, 952, 621, 779, 782, 4502, 621, 269, 1403, 621, 3580, 782, 2339, 519, 1554, 1310, 269, 898, 2636, 596, 547, 6521, 707, 1445, 543, 1832, 596, 9350, 563, 258, 6321, 269, 16202, 610, 4235, 1945, 281, 1403, 596, 2461, 17237, 610, 19818, 344, 267, 3500, 1524, 543, 1205, 1945, 547, 3548, 610, 4235, 269, 19305, 707, 1648, 547, 602, 3079, 540, 27830, 621, 593, 3478, 14220, 563, 258, 6872, 269, 17166, 513, 11755, 281, 16418, 9675, 538, 2696, 689, 1018, 779, 4929, 596, 547, 1205, 14220, 269, 21813, 547, 2696, 547, 948, 596, 7753, 707, 10845, 865, 596, 4465, 1406, 798, 1945, 596, 3580, 26845, 267, 1287, 1847, 593, 563, 17951, 518, 5004, 10657, 9828, 454, 32247, 543, 29252, 10845, 666, 1860, 707, 1072, 543, 666, 2800, 707, 2078, 610, 1256, 4876, 563, 2252, 596, 4076, 8068, 596, 2461, 3478, 14220, 7683, 267, 621, 1522, 581, 942, 585, 596, 547, 2263, 3797, 543, 952, 596, 723, 513, 3659, 610, 1920, 4759, 602, 814, 519, 1482, 3390, 267, 596, 1522, 1616, 547, 948, 873, 609, 741, 796, 19055, 762, 10845, 1932, 563, 763, 2805, 666, 948, 952, 596, 2461, 10010, 609, 10845, 2359, 543, 713, 666, 581, 607, 513, 1267, 540, 8194, 267, 796, 637, 9407, 2152, 602, 5949, 936, 942, 267, 610, 1256, 4965, 563, 763, 3804, 540, 3797, 568, 547, 948, 596, 960, 998, 707, 10845, 547, 723, 513, 7059, 7553, 269, 12989, 616, 930, 10845, 2359, 3797, 2553, 563, 258, 6795, 269, 5369, 17871, 3797, 281, 901, 3797, 568, 1419, 5227, 950, 519, 10845, 814, 10057, 596, 543, 568, 7133, 519, 1004, 1472, 596, 563, 1607, 2186, 540, 3797, 568, 5059, 593, 1582, 26190, 543, 596, 949, 849, 1451, 2081, 547, 2769, 707, 10845, 1510, 7133, 707, 6068, 3283, 563, 258, 2568, 269, 6828, 3797, 281, 6828, 3797, 568, 5227, 538, 2665, 1141, 5312, 10845, 1223, 4076, 4299, 707, 1582, 12635, 6028, 596, 4743, 9678, 543, 16944, 563, 1103, 1895, 3797, 267, 596, 4043, 547, 1745, 1447, 4805, 607, 1866, 616, 8391, 519, 2126, 1932, 267, 543, 621, 666, 581, 5363, 547, 5873, 827, 519, 12003, 7271, 540, 1866, 1932, 563, 2791, 1522, 991, 547, 1294, 513, 13309, 585, 606, 1367, 8400, 1317, 1895, 3797, 568, 1419, 1031, 607, 513, 7110, 585, 824, 5686, 540, 3797, 563, 258, 8618, 269, 15465, 8965, 3797, 281, 901, 4480, 1568, 676, 4543, 596, 2697, 707, 12153, 543, 875, 596, 2356, 4431, 547, 873, 563, 2791, 1451, 1007, 2081, 547, 4431, 547, 10845, 543, 707, 13309, 786, 948, 596, 865, 596, 666, 7930, 1689, 707, 4555, 543, 5615, 547, 10845, 543, 6529, 609, 519, 2242, 563, 258, 7830, 269, 7591, 3797, 281, 901, 3797, 568, 29656, 2966, 585, 1453, 269, 634, 13309, 3096, 3860, 3029, 540, 1404, 547, 948, 519, 1453, 2769, 741 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2088, 19985, 623, 269, 24495, 3821, 268, 543, 623, 269, 524, 10327, 32070, 1915, 269, 22439, 2491, 519, 1614, 2009, 3123, 540, 1970, 11729, 4810, 538, 1875, 26049, 726, 4548, 912, 272, 270, 30369, 2825, 2175, 454, 273, 270, 3668, 540, 12555, 543, 454, 274, 270, 21603, 1344, 7282, 519, 3099, 267, 3597, 18450, 543, 7850, 5389, 607, 1134, 607, 3395, 2853, 563, 288, 2864, 9395, 9756, 814, 1044, 7150, 1063, 28480, 7389, 543, 519, 1292, 18009, 2287, 1974, 269, 1717, 267, 519, 2038, 28480, 942, 4805, 3112, 581, 2808, 607, 519, 2014, 540, 1970, 7607, 269, 634, 9178, 540, 20034, 4054, 568, 11911, 547, 2027, 8733, 4170, 543, 20239, 657, 534, 3202, 2042, 540, 519, 4914, 20034, 28212, 269, 634, 2079, 540, 9695, 7000, 32094, 1894, 5473, 1896, 824, 3197, 1932, 267, 799, 7520, 519, 4058, 540, 3444, 10687, 321, 5209, 538, 519, 9960, 1982, 563, 299, 24147, 11912, 1500, 1282, 519, 5162, 18309, 540, 533, 727, 4829, 15250, 1841, 513, 1297, 540, 3978, 2042, 281, 519, 16398, 4196, 607, 1303, 27509, 585, 1896, 7936, 29795, 532, 13596, 267, 519, 3875, 1216, 22534, 4646, 1472, 519, 2759, 8728, 8532, 15849, 559, 919, 267, 12094, 519, 3384, 5613, 267, 1118, 519, 24588, 10053, 267, 2569, 519, 7145, 540, 519, 11641, 2359, 543, 2014, 3063, 960, 1282, 1985, 12405, 18309, 960, 269, 1452, 2042, 666, 581, 17515, 676, 1210, 1697, 10138, 2149, 1218, 267, 899, 4039, 23147, 267, 513, 1007, 4936, 1014, 10138, 2149, 656, 547, 3382, 3677, 18309, 11912, 540, 11945, 267, 15090, 543, 844, 1550, 4054, 563, 763, 1726, 14613, 676, 4039, 23147, 8507, 538, 513, 1713, 6175, 538, 1312, 519, 1297, 543, 2698, 3259, 540, 1216, 22534, 4646, 1472, 519, 2759, 19838, 9188, 563, 1607, 1079, 4458, 24713, 344, 729, 6322, 547, 1683, 2164, 593, 519, 1198, 540, 9436, 267, 16903, 267, 11379, 543, 13101, 13226, 5574, 630, 31553, 267, 26128, 267, 26128, 298, 267, 26128, 298, 300, 326, 264, 593, 3543, 894, 543, 30462, 2934, 540, 519, 6653, 22269, 5252, 541, 2048, 290, 1301, 523, 9957, 1401, 3133, 725, 941, 5340, 538, 606, 15250, 731, 12630, 538, 476, 1001, 273, 593, 2398, 684, 639, 30652, 1446, 321, 3597, 18450, 609, 19437, 540, 476, 276, 1535, 476, 273, 269, 276, 544, 269, 2353, 5574, 4824, 519, 3543, 894, 2934, 540, 519, 6653, 22269, 4054, 538, 1312, 1296, 540, 476, 1001, 277, 543, 476, 1001, 278, 269, 674, 23459, 6500, 5701, 4054, 2799, 17657, 3444, 3296, 1858, 630, 307, 5425, 288, 264, 609, 476, 7906, 269, 274, 268, 8287, 269, 272, 9077, 1247, 1852, 4054, 4951, 476, 4366, 269, 274, 260, 17657, 2208, 2333, 269, 962, 3658, 540, 1852, 4054, 941, 2539, 538, 1312, 1296, 630, 276, 269, 280, 268, 278, 269, 273, 4846, 14121, 872, 1070, 982, 602, 540, 519, 6992, 1242, 4054, 630, 278, 269, 279, 268, 1556, 269, 274, 4846, 14121, 872, 1040, 32192, 849, 2799, 519, 16903, 630, 1626, 268, 2420, 15992, 13101, 630, 1321, 268, 736, 8472, 543, 11379, 1543, 630, 274, 269, 276, 268, 1240, 8472, 540, 519, 5613, 3379, 547, 1852, 5574, 563, 763, 10656, 5600, 9302, 11751, 538, 476, 1001, 271, 3379, 609, 519, 1032, 1354, 513, 2370, 1447, 5388, 543, 1447, 4829, 269, 1717, 1317, 540, 513, 2362, 3902, 1377, 519, 2706, 21466, 6455, 540, 5613, 543, 5388, 2799, 609, 476, 278, 260, 547, 3592, 24843, 274, 5479, 269, 589, 10656, 7622, 11751, 476, 7761, 269, 275, 4893, 334, 4195, 5388, 538, 476, 1001, 271, 269, 901, 568, 476, 273, 260, 1447, 982, 538, 476, 1220, 280, 269, 8751, 10633, 616, 519, 1034, 11751, 10448, 4553, 676, 22323, 543, 29475, 269, 4014, 519, 10656, 10820, 11751, 1447, 5388, 267, 519, 7836, 2799, 609, 476, 276, 10065, 634, 3328, 3902, 540, 5388, 729, 476, 278, 260, 2362, 982, 538, 476, 1220, 280, 269, 769, 476, 1001, 271, 513, 10656, 7622, 11751, 3592, 476, 6434, 4893, 334, 4195, 4829, 269, 22702, 609, 476, 1220, 280, 713, 729, 476, 273, 260, 1447, 269, 11197, 568, 2484, 856, 519, 1034, 2442, 267, 4553, 676, 10538, 543, 19337, 269, 4746, 519, 7836, 593, 4829, 8519, 513, 2370, 267, 16887, 593, 12450, 9440, 267, 737, 12685, 328, 543, 19337, 269, 634, 6455, 540, 5388, 568, 7691, 585, 3592, 476, 3445, 260, 676, 519, 2706, 21466, 8756, 269, 15751, 1261, 6359, 333, 814, 513, 2344, 2671, 540, 476, 4343, 9077, 4553, 676, 8111, 684, 773, 543, 595, 1911, 271, 269, 4746, 585, 4829, 519, 2706, 21466, 568, 519, 1034, 1271, 10685, 8756, 269, 1717, 4829, 568, 849, 4421, 585, 476, 736, 260, 538, 17365, 8637, 543, 6990, 269, 634, 2698, 24826, 689, 2706, 5658, 1115, 540, 5388, 729, 538, 476, 1001, 271, 936, 24843, 273, 5479, 267, 476, 279, 260, 811, 982, 538, 476, 1220, 280, 269, 476, 5952, 260, 540, 713, 568, 4195, 1587, 630, 325, 3306, 543, 840, 2389, 8972, 1040, 2052, 2740, 5388, 1831, 1447, 2442, 269, 634, 24826, 729, 13302, 476, 273, 260, 547, 1175, 896, 24843, 1220, 2929, 269, 5682, 10365, 616, 519, 1034, 2442, 267, 4553, 676, 17112, 543, 17436, 269, 1717, 811, 2724, 729, 6108, 593, 13792, 5388, 22791, 276, 8472, 543, 4584, 956, 22791, 272, 22103, 3683, 476, 2412, 260, 540, 519, 2706, 21466, 24826, 540, 13792, 5388, 568, 6108, 593, 22156, 269, 634, 2706, 21466, 24826, 540, 4829, 2799, 538, 476, 1001, 271, 609, 476, 274, 260, 547, 24843, 272, 267, 1839, 5479, 269, 3245, 713, 476, 11152, 260, 568, 4195, 796, 15263, 539, 4829, 269, 634, 24826, 540, 840, 2389, 8972, 630, 13195, 1117, 543, 30000, 264, 568, 2810, 267, 855, 1869, 711, 811, 982, 476, 274, 10065, 4014, 609, 513, 16434, 2671, 267, 519, 7836, 593, 13792, 4829, 849, 2799, 538, 476, 1001, 271, 547, 24843, 276, 267, 276, 2929, 269, 634, 24826, 540, 27574, 4829, 2705, 729, 13302, 609, 476, 277, 260, 3379, 609, 476, 1220, 280, 269, 634, 2706, 21466, 24826, 540, 840, 2389, 8972, 4829, 729, 24843, 3374, 2929, 269, 15751, 1261, 6359, 333, 568, 519, 6207, 2344, 6205, 585, 5910, 8972, 4829, 269, 769, 476, 1001, 271, 476, 3583, 260, 540, 519, 6455, 729, 7691, 676, 15751, 1261, 6359, 333, 269, 24908, 4195, 840, 2389, 8972, 4829, 267, 5631, 4829, 25235, 267, 2272, 585, 476, 2412, 260, 540, 519, 2698, 2706, 21466, 24826, 540, 9268, 4829, 269, 2052, 2740, 12566, 20625, 568, 519, 1034, 1271, 27574, 4829, 538, 2706, 5658, 1115, 267, 4553, 676, 4829, 15483, 18571, 543, 890, 778, 269, 1703, 568, 513, 1164, 4110, 540, 4656, 540, 6800, 3823, 519, 968, 332, 755, 892, 547, 946, 2614, 4829, 543, 5388, 269, 6736, 540, 713, 267, 6800, 798, 711, 2141, 3548, 2614, 2635, 2472, 269, 30258, 585, 713, 616, 519, 11112, 1272, 540, 519, 2413, 1762, 1004, 543, 519, 8226, 602, 5388, 616, 968, 2254, 2653, 892, 547, 946, 269, 4475, 8600, 513, 7594, 814, 547, 581, 2653, 543, 3728, 609, 5078, 2472, 3371, 568, 606, 1271, 4305, 585, 1523, 543, 1587, 1646, 563, 763, 6268, 540, 513, 3132, 568, 606, 1271, 4090, 540, 17782, 922, 1967, 593, 519, 2344, 269, 634, 2489, 12705, 267, 799, 568, 23801, 267, 950, 513, 7082, 23297, 547, 6718, 519, 20161, 267, 1058, 581, 14648, 538, 811, 6662, 267, 22905, 2474, 269, 12729, 1239, 723, 1044, 6394, 593, 4195, 5613, 6508, 689, 1114, 3395, 4066, 676, 1418, 1961, 10364, 4255, 543, 519, 1239, 4904, 909, 538, 519, 3029, 616, 9268, 609, 9756, 2079, 269, 634, 3334, 941, 281, 6492, 267, 24710, 267, 17145, 6109, 1145, 269, 634, 14170, 540, 9756, 4951, 602, 519, 1964, 540, 3197, 607, 519, 5920, 267, 5104, 545, 1465, 267, 543, 519, 4006, 270, 29403, 5223, 563, 763, 1032, 540, 476, 1220, 278, 729, 2565, 585, 4829, 25210, 538, 519, 3148, 540, 14914, 6953, 2426, 776, 269, 11153, 15250, 1841, 941, 11124, 15470, 14796, 269, 31056, 15470, 3441, 729, 849, 5949, 538, 519, 15250, 731, 540, 23413, 324, 329, 681, 339, 1421, 799, 3361, 2698, 4829, 5821, 538, 519, 15250, 731, 269, 3776, 1353, 729, 5342, 538, 519, 7471, 11945, 15250, 731, 630, 22416, 639, 29143, 923, 645, 1251, 327, 4700, 3964, 593, 513, 1970, 1633, 2447, 9926, 655, 3037, 538, 5101, 6953, 2426, 776, 267, 547, 8495, 875, 15470, 2242, 519, 7777, 1543, 540, 1114, 11945, 2249, 269, 23516, 5439, 941, 6394, 476, 1911, 2395, 1310, 2407, 16036, 1312, 538, 476, 1220, 277, 543, 476, 1220, 278, 269, 634, 9830, 540, 9436, 267, 8485, 5387, 267, 11379, 267, 7513, 543, 13101, 941, 6027, 538, 3762, 269, 634, 9000, 540, 5613, 3361, 513, 4130, 13250, 540, 9436, 543, 13101, 538, 3762, 269, 12096, 532, 1524, 540, 5810, 543, 4829, 5036, 12042, 1229, 519, 6037, 6327, 540, 519, 15399, 2586, 8485, 5387, 267, 11379, 543, 7513, 2509, 4829, 5036, 269, 9603, 547, 4829, 5821, 519, 3543, 894, 3157, 2968, 8789, 269, 27817, 3677, 2179, 540, 8485, 5387, 267, 11379, 543, 7513, 6740, 269, 14755, 519, 6207, 3693, 1543, 267, 519, 5223, 540, 519, 1114, 2609, 729, 849, 5462, 269, 11683, 640, 540, 7229, 12753, 941, 6569, 689, 6099, 2418, 1813, 547, 15470, 269, 5637, 6207, 1543, 540, 5567, 543, 741, 12753, 11329, 856, 602, 519, 15470, 3441, 3648, 4299, 519, 19718, 540, 5567, 543, 741, 13936, 3157, 563, 303, 18166, 1164, 2298, 13212, 538, 9921, 4054, 540, 519, 20956, 269, 1412, 20112, 523, 5548, 5534, 262, 568, 2864, 2352, 1317, 540, 519, 678, 1380, 7566, 540, 621, 781, 5613, 267, 2523, 538, 12405, 540, 1164, 3448, 11195, 543, 5924, 6632, 1145, 563, 28606, 17067, 6901, 9863, 519, 7872, 547, 6175, 678, 1380, 7566, 676, 5574, 540, 21781, 275, 269, 278, 1282, 513, 1974, 1310, 4620, 531, 2887, 563, 303, 17222, 8566, 1245, 267, 513, 1587, 540, 623, 17222, 1314, 807, 3213, 269, 630, 2967, 269, 476, 1015, 575, 272, 268, 272, 21781, 275, 269, 278, 264, 729, 4294, 547, 21391, 678, 1380, 564, 5250, 538, 4829, 2960, 540, 1412, 20112, 523, 5548, 5534, 262, 13212, 269, 9050, 15654, 838, 7590, 941, 5645, 856, 630, 5976, 476, 1015, 28327, 513, 269, 328, 4700, 538, 12353, 11996, 267, 4358, 693, 4620, 531, 2887, 543, 7382, 2173, 12089, 609, 519, 1699, 13851, 540, 519, 2030, 4027, 1982, 563, 18814, 547, 519, 21781, 275, 269, 278, 3498, 519, 678, 1380, 564, 5250, 8519, 693, 513, 2557, 540, 22237, 2956, 269, 1306, 585, 519, 2427, 13716, 338, 540, 5574, 267, 4829, 1305, 729, 4389, 5594, 538, 4054, 5701, 267, 2705, 267, 972, 729, 1100, 3702, 550, 3310, 593, 2132, 16036, 563, 26170, 513, 1804, 2179, 540, 13851, 543, 838, 776, 3156, 616, 1031, 538, 13476, 7874, 4829, 2504, 1949, 282, 4061, 267, 519, 2832, 540, 938, 1353, 729, 1101, 547, 1449, 519, 538, 20117, 2498, 324, 545, 2329, 540, 930, 9033, 15969, 1996, 513, 1883, 11945, 2068, 630, 20625, 1085, 629, 1070, 543, 2034, 569, 547, 859, 320, 3634, 519, 7145, 540, 4389, 10936, 15961, 1996, 11945, 1085, 629, 267, 8869, 344, 7646, 1168, 543, 8193, 26615, 538, 7471, 543, 5214, 11945, 15250, 1841, 269, 769, 20117, 12117, 540, 476, 278, 9033, 15969, 630, 2419, 2086, 542, 476, 2004, 654, 303, 267, 918, 17462, 476, 1220, 271, 267, 20918, 2135, 476, 4037, 654, 294, 267, 9986, 1690, 657, 678, 2946, 345, 330, 26408, 267, 918, 636, 15252, 590, 267, 681, 2946, 345, 330, 26408, 267, 681, 2946, 345, 2135, 1731, 3271, 573, 264, 543, 1776, 476, 277, 9033, 15969, 630, 30360, 476, 1839, 10566, 267, 661, 14673, 345, 514, 476, 4335, 14662, 267, 5204, 560, 2033, 267, 674, 4301, 584, 3752, 334, 267, 2098, 6737, 9578, 345, 267, 681, 990, 1537, 264, 9516, 538, 5214, 543, 7471, 2504, 1949, 267, 6606, 267, 941, 7318, 1996, 11945, 1085, 629, 269, 16816, 6320, 2185, 10936, 15961, 941, 5340, 1775, 264, 3044, 7471, 281, 838, 7590, 4553, 676, 20925, 1949, 1282, 519, 4005, 267, 13797, 264, 4389, 7471, 281, 838, 7590, 4553, 676, 20925, 1949, 855, 1152, 476, 4037, 260, 540, 519, 10936, 2338, 1031, 1282, 519, 4005, 17489, 10936, 10872, 267, 25831, 264, 3044, 522, 571, 3913, 545, 281, 838, 7590, 4294, 1169, 476, 278, 1700, 1691, 2395, 1282, 519, 4005, 543, 17488, 264, 4389, 5214, 281, 476, 2568, 260, 540, 519, 10936, 2338, 1031, 1282, 519, 4005, 17489, 10936, 10872, 269, 769, 20117, 2164, 4951, 602, 9033, 15969, 630, 5976, 3742, 5820, 540, 7601, 543, 20962, 584, 264, 4294, 538, 5214, 2504, 4951, 5266, 1164, 2600 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 21635, 1104, 27661, 5228, 17511, 1104, 27661, 5814, 27368, 7531, 5035, 631, 10270, 1384, 825, 8173, 825, 631, 10270, 1362, 602, 13976, 513, 3308, 6041, 540, 519, 4604, 454, 825, 585, 519, 3014, 4604, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 838, 1679, 281, 7102, 264, 9847, 7183, 1384, 1038, 8173, 1038, 769, 1388, 6500, 585, 519, 519, 631, 10270, 1362, 454, 1038, 29185, 1038, 1582, 4732, 335, 1679, 815, 838, 1679, 454, 1038, 1582, 6230, 10270, 318, 16769, 815, 7183, 454, 1038, 1582, 269, 8527, 622, 318, 16769, 476, 815, 7183, 454, 1038, 1582, 4732, 335, 27866, 815, 11713, 1038, 1582, 4732, 32284, 815, 476, 1626, 454, 1038, 1582, 10947, 8548, 10270, 318, 4944, 1679, 10797, 825, 1219, 1205, 8548, 10270, 318, 4944, 1679, 4311, 264, 9847, 7183, 912, 1038, 8173, 1038, 4991, 782, 519, 4604, 838, 27866, 689, 519, 838, 1679, 6656, 454, 1038, 8173, 1038, 585, 1775, 538, 2039, 263, 1015, 2187, 2018, 1582, 4732, 335, 27866, 6910, 4311, 4732, 335, 1679, 10947, 318, 4944, 1679, 9217, 267, 1582, 4732, 32284, 267, 654, 2839, 8025, 267, 16777, 20846, 11723, 825, 1219, 17967, 4311, 267, 838, 1679, 281, 7102, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 15585, 919, 513, 838, 1679, 5293, 883, 621, 581, 513, 1808, 4110, 454, 1038, 8173, 1038, 2132, 27368, 6745, 4920, 845, 269, 8527, 622, 4433, 335, 1679, 267, 1130, 265, 3445, 2020, 825, 1219, 1224, 8548, 10270, 18316, 4311, 267, 1257, 12803, 281, 7102, 264, 9847, 5903, 314, 12179, 28660, 1038, 8173, 1038, 5192, 1344, 689, 1257, 6119, 454, 1038, 8173, 1038, 535, 815, 1930, 29495, 12803, 267, 834, 337, 5602, 1038, 3515, 815, 1496, 1467, 25331, 29328, 28361, 333, 10807, 585, 1899, 538, 535, 2639, 1038, 2132, 1496, 1467, 21858, 3488, 1412, 264, 585, 1899, 538, 3515, 6540, 825, 1219, 1205, 8548, 10270, 4311, 267, 1257, 12803, 281, 7102, 264, 9847, 7183, 1384, 1038, 8173, 1038, 3367, 338, 519, 3758, 585, 1312, 519, 1292, 543, 10047, 454, 1038, 28618, 6119, 454, 1038, 8173, 1038, 1582, 6230, 10270, 318, 16769, 815, 1582, 18667, 8548, 10270, 18316, 29495, 12803, 266, 2668, 339, 868, 5602, 1038, 1582, 269, 8527, 622, 318, 16769, 815, 1582, 18667, 8548, 10270, 18316, 29495, 12803, 266, 257, 318, 8527, 17902, 15419, 825, 1219, 9192, 8548, 10270, 4311, 267, 4282, 281, 7102, 264, 9847, 7183, 1384, 1038, 8173, 1038, 901, 1505, 568, 1141, 649, 2965, 1628, 519, 28618, 676, 2921, 1142, 851, 454, 1038, 689, 519, 838, 1679, 6656, 543, 1628, 606, 3239, 540, 621, 1759, 593, 519, 689, 1312, 454, 1038, 519, 28618, 543, 10047, 28618, 6119, 563, 1038, 8173, 1038, 9343, 815, 7003, 4311, 6230, 10270, 318, 16769, 994, 1038, 897, 338, 815, 7003, 4311, 6230, 10270, 318, 16769, 314, 271, 7481, 1038, 585, 4737, 538, 2039, 263, 4900, 2187, 2018, 585, 897, 538, 2039, 263, 3712, 338, 2187, 3546, 1535, 815, 897, 2608, 654, 2839, 8025, 454, 3546, 586, 815, 4737, 2608, 16777, 20846, 454, 3546, 2119, 912, 7386, 1130, 815, 703, 4311, 6230, 10270, 318, 16769, 314, 992, 6012, 3712, 7481, 3546, 4849, 28759, 912, 7386, 1780, 454, 3546, 3116, 912, 7386, 952, 1582, 269, 8527, 622, 318, 16769, 568, 711, 7183, 912, 13376, 4232, 11749, 815, 1582, 269, 8527, 622, 318, 16769, 314, 992, 6012, 3712, 2639, 13376, 3239, 815, 1582, 269, 8527, 622, 4311, 4732, 335, 27866, 314, 1998, 3910, 703, 263, 8527, 11749, 4917, 13376, 4282, 269, 4565, 527, 263, 13548, 267, 630, 343, 267, 586, 4917, 7386, 3116, 912, 13376, 4282, 269, 4565, 527, 4311, 4732, 335, 27866, 314, 1998, 3910, 630, 343, 267, 586, 4917, 0, 321, 815, 703, 9272, 15405, 604, 6357, 4939, 476, 278, 2652, 476, 271, 2187, 476, 1820, 2891, 8133, 5602, 12828, 912, 476, 1820, 2891, 5591, 5602, 0, 5228, 705, 322, 1104, 13235, 300, 9508, 267, 7493, 24709, 454, 5814, 11885, 607, 5286, 692, 5035, 20368, 2678, 912, 825, 23288, 825, 8708, 585, 9936, 2418, 1031, 538, 23221, 563, 825, 1412, 7407, 262, 666, 581, 22185, 610, 5044, 268, 24029, 318, 3697, 454, 825, 1412, 16932, 262, 568, 513, 5569, 602, 1590, 1331, 835, 540, 1412, 6523, 17443, 3299, 1412, 333, 7572, 766, 3299, 610, 1412, 17882, 18267, 28847, 825, 23288, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 815, 7183, 267, 1871, 815, 7183, 267, 6609, 815, 7183, 267, 6003, 815, 7183, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 6155, 525, 5524, 815, 6609, 454, 1038, 7682, 18011, 17882, 18267, 262, 538, 6003, 264, 610, 18011, 333, 7572, 766, 262, 538, 6003, 264, 610, 18011, 6523, 17443, 262, 538, 6003, 994, 1038, 1582, 7456, 8475, 815, 6003, 454, 0, 3698, 1293, 29999, 6600, 32327, 267, 2262, 2187, 825, 2119, 912, 1038, 609, 1930, 6600, 32327, 267, 17683, 6889, 583, 325, 268, 279, 8442, 607, 535, 912, 2018, 9115, 815, 535, 18667, 4590, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 1820, 6600, 257, 7717, 787, 267, 2715, 16344, 17575, 348, 711, 1336, 5602, 825, 3116, 912, 1038, 2262, 18045, 815, 9115, 31573, 14061, 12248, 27182, 31573, 15405, 1038, 1820, 6600, 10454, 1412, 346, 5320, 348, 262, 1293, 538, 2715, 16344, 17575, 348, 568, 2715, 5320, 18045, 348, 257, 9239, 16344, 523, 1868, 815, 1496, 454, 825, 834, 531, 823, 17902, 20350, 825, 834, 338, 1342, 9618, 15925, 17902, 20350, 825, 834, 332, 984, 344, 5091, 1157, 17902, 20350, 825, 834, 331, 8077, 16062, 1580, 17902, 20350, 825, 834, 8117, 1206, 17902, 20350, 2639, 1721, 32197, 538, 2083, 523, 1868, 912, 825, 1293, 29999, 6600, 32327, 267, 834, 1721, 326, 633, 5602, 0, 258, 1412, 13449, 3890, 262, 1599, 3217, 835, 4661, 281, 2012, 540, 3758, 454, 5976, 1930, 2891, 7032, 5091, 580, 1080, 17902, 8442, 607, 3758, 318, 15953, 912, 825, 1948, 1930, 1599, 7024, 606, 1843, 8204, 519, 3758, 454, 825, 1948, 1412, 1348, 3890, 262, 8637, 1543, 540, 1843, 538, 513, 1279, 5569, 454, 825, 9115, 815, 3758, 318, 15953, 18667, 4590, 258, 634, 20438, 1412, 5976, 262, 32195, 519, 3758, 2899, 1569, 547, 621, 568, 1100, 3476, 2877, 454, 258, 1412, 1348, 3890, 262, 7024, 519, 5569, 543, 606, 3063, 8900, 5569, 693, 519, 1439, 267, 602, 666, 454, 258, 581, 7339, 730, 609, 1412, 337, 29328, 3890, 7055, 258, 1820, 263, 4186, 757, 25331, 29328, 31156, 258, 609, 1930, 2891, 907, 270, 1598, 902, 270, 3667, 17902, 8442, 607, 3758, 318, 15953, 912, 258, 825, 585, 7329, 343, 267, 1899, 538, 26246, 31526, 318, 15953, 2187, 258, 1038, 1820, 6600, 257, 18118, 2715, 30915, 1341, 476, 272, 348, 281, 2715, 1467, 25331, 29328, 3890, 348, 15419, 258, 32197, 815, 834, 907, 270, 1598, 902, 270, 3667, 17902, 4840, 16482, 258, 609, 1930, 6600, 32327, 264, 607, 3758, 318, 15953, 912, 258, 825, 3515, 815, 3758, 318, 15953, 18667, 6050, 4590, 258, 1449, 23952, 815, 834, 4840, 258, 585, 1899, 538, 3515, 912, 258, 825, 1449, 23952, 6834, 535, 257, 2715, 1899, 14714, 8692, 3890, 7684, 4840, 258, 1820, 6025, 652, 23952, 2020, 16344, 17575, 815, 834, 821, 8548, 11669, 5091, 580, 1080, 17902, 5016, 5976, 1930, 6600, 32327, 264, 607, 3758, 318, 15953, 912, 825, 3515, 815, 3758, 318, 15953, 18667, 6050, 4590, 7032, 23952, 815, 834, 4840, 1721, 1899, 538, 3515, 912, 825, 14039, 23952, 6834, 1899, 14714, 8692, 4590, 258, 1820, 6600, 257, 346, 7032, 23952, 11468, 7367, 316, 348, 907, 23528, 258, 1820, 12759, 263, 7032, 23952, 11723, 19689, 1485, 815, 3403, 2891, 10938, 707, 14512, 267, 538, 519, 1106, 540, 544, 9536, 344, 344, 281, 19515, 604, 14512, 538, 14039, 23952, 912, 825, 1820, 2891, 20365, 14512, 5526, 538, 519, 1101, 2929, 9704, 540, 14039, 32405, 12828, 912, 825, 1820, 2891, 20365, 14512, 1281, 711, 2408, 538, 14039, 267, 17485, 518, 5602, 0, 17541, 15461, 318, 6665, 527, 815, 18358, 305, 1470, 3299, 1412, 25219, 1695, 3299, 1412, 30210, 3299, 1412, 294, 872, 576, 3299, 1412, 296, 576, 1633, 23300, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 2745, 4433, 9285, 263, 17541, 15461, 318, 6665, 527, 4917, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 18622, 2091, 4590, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 18622, 2091, 4590, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 31699, 4590, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 31699, 263, 516, 2091, 18989, 994, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 2745, 263, 17541, 15461, 318, 6665, 527, 15631, 272, 8079, 0, 3698, 1118, 318, 531, 321, 636, 263, 691, 626, 12173, 267, 17581, 21234, 267, 1003, 5334, 29330, 22561, 2187, 825, 952, 1003, 5334, 29330, 912, 1038, 2132, 2715, 257, 691, 626, 9899, 7376, 12173, 267, 834, 531, 321, 636, 9899, 17581, 21234, 267, 834, 11133, 5334, 29330, 9899, 1003, 5334, 29330, 8679, 825, 3116, 912, 1038, 2132, 2715, 257, 691, 626, 9899, 7376, 12173, 267, 834, 531, 321, 636, 9899, 17581, 21234, 348, 7531, 531, 321, 636, 8217, 815, 29129, 5562, 318, 4148, 698, 815, 6936, 454, 6112, 3742, 318, 4148, 698, 912, 825, 7376, 815, 3403, 2891, 6358, 7376, 281, 19515, 825, 17581, 815, 3403, 2891, 6358, 17581, 281, 19515, 825, 1003, 5334, 29330, 815, 3403, 2891, 6358, 1297, 540, 13475, 281, 19515, 825, 17581, 8217, 6910, 9852, 820, 318, 531, 321, 636, 263, 691, 626, 267, 17581, 267, 1003, 5334, 29330, 543, 1003, 5334, 29330, 4917, 825, 10956, 815, 3403, 2891, 11666, 826, 630, 13433, 270, 7224, 21663, 19515, 825, 952, 10956, 2652, 834, 7224, 257, 610, 10956, 2652, 834, 333, 13426, 1038, 3742, 318, 4148, 698, 815, 8771, 7531, 2745, 19629, 333, 19203, 700, 8780, 5508, 9338, 289, 308, 5960, 26905, 5602, 2745, 2891, 9209, 626, 28612, 19186, 636, 28612, 3143, 269, 540, 14576, 338, 14826, 5602, 1721, 17581, 538, 17581, 8217, 912, 825, 7376, 815, 17581, 14277, 691, 626, 257, 4940, 27583, 4590, 825, 2140, 815, 17581, 14277, 531, 321, 636, 257, 4940, 27583, 4590, 825, 952, 17581, 14277, 11133, 5334, 29330, 257, 14158, 1038, 1003, 5334, 29330, 815, 17581, 14277, 11133, 5334, 29330, 31116, 1038, 1820, 6600, 257, 346, 691, 626, 348, 4534, 2715, 27583, 348, 4534, 2715, 11133, 5334, 29330, 348, 5602, 825, 3116, 912, 1038, 1820, 6600, 257, 346, 691, 626, 348, 4534, 2715, 27583, 348, 5602, 0, 5035, 13928, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 9742, 8782, 684, 4385, 262, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 3691, 539, 815, 9742, 692, 825, 1219, 1694, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 568, 1631, 9361, 15419, 825, 1219, 5066, 318, 1478, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 814, 18202, 936, 15419, 825, 1219, 3717, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 3081, 281, 1412, 289, 1046, 256, 262, 15419, 825, 1219, 1018, 318, 3691, 539, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 568, 540, 519, 9742, 281, 2715, 1345, 269, 3691, 539, 348, 257, 9239, 8931, 338, 2255, 15879, 815, 13928, 3488, 306, 2255, 15879, 3299, 476, 1015, 2020, 2745, 6600, 257, 7069, 2915, 781, 2012, 568, 2715, 338, 2255, 15879, 20508, 348, 5602, 2745, 6600, 257, 3240, 2915, 568, 2715, 338, 2255, 15879, 269, 720, 348, 1296, 2025, 5602, 338, 2255, 15879, 269, 2651, 318, 1478, 4590, 338, 2255, 15879, 4732, 527, 4590, 338, 2255, 15879, 4732, 701, 752, 4590, 338, 2255, 15879, 269, 6343, 318, 3691, 539, 4590, 0, 335, 14040, 7272, 625, 815, 18358, 332, 2313, 3336, 3299, 1412, 2169, 571, 10381, 3299, 1412, 21123, 990, 625, 23300, 1721, 16741, 538, 16741, 7272, 625, 912, 476, 952, 16741, 2652, 1412, 21123, 990, 625, 12466, 825, 1820, 6600, 19285, 2648, 1169, 2186, 547, 6137, 593, 1283, 540, 16741, 267, 4849, 2715, 335, 14040, 348, 5602, 476, 3116, 912, 8587, 1820, 6600, 19285, 15983, 2648, 2715, 335, 14040, 348, 16741, 5602, 2745, 6600, 257, 312, 788, 267, 1775, 2386, 798, 2648, 16741, 32405, 0, 258, 322, 5317, 284, 583, 325, 268, 279, 454, 4289, 17342, 9131, 1001, 278, 268, 6187, 268, 2190, 3299, 1412, 876, 281, 876, 281, 876, 3299, 1412, 272, 22207, 1412, 22207, 1412, 476, 274, 28710, 18358, 1001, 278, 268, 6187, 268, 2190, 3299 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 268, 634, 1655, 1554, 540, 519, 3018, 1557, 5856, 3248, 268, 10507, 331, 2688, 1557, 15293, 23116, 3896, 2228, 3248, 16524, 543, 10374, 4828, 593, 11957, 540, 11846, 538, 2296, 454, 306, 7964, 12819, 8799, 827, 585, 519, 5026, 11825, 976, 25422, 607, 1134, 607, 18368, 269, 11846, 616, 2731, 606, 1271, 2534, 585, 3025, 2523, 585, 3214, 543, 31655, 607, 621, 8952, 1560, 2635, 543, 3514, 269, 898, 568, 1152, 1317, 649, 723, 1100, 2631, 540, 3020, 5026, 26206, 269, 11846, 2238, 585, 1312, 267, 2367, 543, 2021, 616, 2877, 547, 581, 15469, 607, 621, 10597, 519, 2168, 267, 2790, 267, 2883, 1072, 540, 519, 1268, 269, 23560, 267, 621, 1058, 581, 15469, 676, 519, 3237, 267, 3610, 543, 2229, 540, 519, 2197, 563, 268, 25126, 547, 2328, 1250, 1557, 585, 803, 3248, 268, 476, 273, 526, 3446, 1603, 1957, 1863, 3248, 21010, 2060, 2974, 454, 11039, 1634, 5026, 17367, 849, 5000, 519, 8521, 5765, 31655, 540, 741, 2197, 269, 11846, 971, 607, 25319, 267, 14912, 267, 11176, 543, 2019, 28380, 948, 519, 1053, 1174, 519, 2956, 540, 9363, 8087, 547, 3035, 513, 1455, 3804, 269, 898, 814, 8799, 9165, 543, 3318, 4876, 5026, 519, 5026, 7606, 563, 2005, 849, 2306, 873, 811, 18177, 543, 10607, 741, 2219, 1184, 269, 898, 568, 1434, 585, 1312, 8695, 543, 6690, 547, 1628, 5386, 26430, 269, 1411, 2170, 609, 707, 17837, 267, 2319, 29982, 267, 13588, 543, 16488, 269, 1358, 3565, 538, 519, 5250, 540, 1915, 269, 11846, 849, 1404, 513, 4105, 1909, 538, 3384, 2418, 543, 8994, 3972, 563, 6919, 2110, 1557, 593, 519, 11957, 540, 11846, 543, 10632, 454, 5445, 1832, 519, 4182, 1762, 607, 789, 1832, 2328, 2565, 2079, 1557, 1383, 454, 15161, 1762, 269, 589, 546, 992, 1910, 29680, 4182, 25864, 2306, 513, 1665, 9170, 538, 519, 1158, 269, 634, 7214, 2208, 540, 513, 4182, 1932, 5673, 2390, 922, 2168, 1072, 269, 21396, 540, 1576, 616, 519, 11604, 540, 519, 7772, 6508, 689, 2168, 6735, 563, 268, 3503, 606, 1557, 827, 3653, 2359, 3248, 268, 6435, 803, 2328, 3909, 2090, 4574, 3248, 268, 4208, 1058, 1053, 2328, 3594, 585, 25689, 3248, 268, 12834, 875, 547, 2328, 606, 1557, 3248, 268, 661, 20969, 900, 320, 1557, 948, 3248, 268, 772, 6996, 23504, 1557, 948, 3248, 306, 7964, 543, 3756, 616, 5227, 585, 3025, 269, 11846, 723, 1390, 1761, 547, 2709, 4876, 3255, 269, 1473, 592, 3101, 538, 9205, 5026, 543, 3756, 971, 607, 3983, 332, 15586, 267, 12404, 543, 3343, 267, 25319, 267, 3092, 609, 938, 1920, 2818, 568, 606, 8449, 1434, 1259, 547, 6125, 609, 873, 269, 7756, 2010, 540, 4604, 3756, 666, 581, 5129, 16280, 609, 11361, 1004, 563, 5445, 666, 581, 811, 5676, 1441, 267, 2635, 267, 3742, 267, 14047, 783, 543, 5026, 3362, 11883, 609, 1022, 2352, 3510, 538, 741, 2123, 1557, 3318, 1272, 269, 1473, 3233, 3756, 616, 899, 1286, 558, 267, 6486, 267, 21802, 267, 3349, 17281, 267, 11015, 267, 11255, 14912, 267, 3092, 666, 581, 5129, 693, 1753, 1510, 1022, 19209, 269, 31336, 3440, 267, 3723, 3440, 267, 25319, 267, 2019, 2917, 3440, 267, 19735, 616, 930, 540, 519, 1034, 1134, 1634, 5026, 269, 7756, 9205, 5026, 971, 607, 15203, 267, 10977, 267, 11176, 267, 14912, 267, 3092, 616, 513, 1434, 1259, 547, 3635, 269, 898, 2306, 721, 9308, 3514, 543, 15508, 4313, 1210, 799, 649, 666, 3362, 4308, 609, 782, 519, 2042, 269, 898, 568, 513, 1434, 1259, 547, 8396, 2566, 543, 4160, 799, 568, 513, 3395, 1966, 1851, 1053, 891, 2395, 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 ]
[ 2147, 547, 519, 1568, 540, 513, 10564, 267, 519, 1106, 540, 513, 6648, 568, 5462, 693, 519, 1482, 942, 607, 922, 1543, 3052, 8462, 18051, 514, 454, 763, 1686, 540, 2257, 568, 3638, 538, 519, 1383, 540, 519, 4829, 6888, 540, 8744, 1079, 5036, 540, 2553, 267, 1079, 5036, 540, 2093, 267, 2919, 538, 5094, 8658, 585, 519, 13287, 540, 1007, 5168, 267, 883, 5905, 609, 835, 1776, 12459, 269, 29122, 1727, 523, 10773, 454, 293, 541, 689, 1818, 4708, 267, 10617, 23223, 2406, 4196, 607, 13460, 543, 20682, 1141, 2367, 543, 2553, 543, 2829, 540, 2247, 616, 5423, 585, 519, 1985, 2112, 9884, 754, 749, 10874, 787, 454, 1862, 2108, 10594, 514, 1275, 892, 568, 3025, 779, 2832, 267, 543, 3209, 2553, 616, 607, 1454, 17028, 7458, 607, 1007, 3621, 8906, 269, 1496, 307, 2529, 20426, 18379, 582, 2829, 621, 609, 9670, 14255, 25771, 23439, 2946, 281, 968, 2005, 568, 4010, 607, 3653, 995, 585, 513, 10564, 547, 798, 1018, 814, 1044, 2944, 2907, 607, 585, 513, 29489, 547, 2699, 4593, 1478, 21780, 601, 779, 8906, 1848, 305, 663, 718, 808, 19128, 961, 454, 1103, 1840, 547, 519, 1514, 12503, 689, 519, 3621, 2146, 972, 568, 849, 693, 960, 513, 1360, 1480, 16023, 540, 1367, 10196, 269, 594, 1289, 621, 519, 1876, 540, 519, 6293, 2073, 543, 621, 949, 581, 19775, 607, 5205, 281, 12315, 513, 1507, 7911, 513, 17200, 267, 543, 646, 786, 1265, 602, 3388, 646, 13341, 2115, 11013, 532, 269, 898, 2501, 607, 1100, 1880, 9983, 547, 3605, 602, 513, 10196, 1106, 12885, 2042, 538, 513, 1259, 799, 3340, 585, 741, 3070, 1175, 1346, 2553, 538, 799, 646, 5128, 568, 2523, 9952, 269, 629, 12646, 25697, 17839, 454, 3674, 621, 711, 513, 2864, 9735, 3140, 20451, 602, 519, 25711, 2553, 602, 519, 3345, 19176, 1031, 1996, 15966, 664, 602, 7142, 1864, 547, 2709, 513, 2756, 582, 9464, 7301, 1476, 11970, 1862, 616, 1631, 519, 2553, 519, 17312, 7245, 568, 1210, 547, 2744, 834, 842, 3485, 775, 257, 827, 9810, 5121, 269, 1215, 568, 621, 2009, 547, 917, 602, 3388, 3627, 15966, 664, 2899, 1767, 593, 2756, 582, 1901, 585, 519, 10546, 729, 7301, 267, 1317, 621, 729, 1071, 518, 1027, 267, 543, 2943, 7682, 602, 3388, 649, 25711, 856, 540, 9810, 31268, 1210, 4010, 519, 1482, 2553, 267, 568, 3020, 286, 4517, 4319, 590, 29229, 454, 763, 1990, 652, 995, 855, 3621, 3408, 540, 7399, 543, 540, 519, 2553, 585, 16734, 873, 786, 1118, 938, 13922, 7787, 267, 543, 786, 1305, 938, 16431, 1369, 519, 5943, 540, 4641, 267, 676, 6029, 875, 1454, 540, 873, 616, 8197, 1483, 14184, 563, 13146, 3173, 538, 5841, 4987, 543, 12985, 2409, 946, 519, 2165, 2220, 1301, 4987, 547, 2012, 7104, 543, 7856, 2553, 540, 1966, 6061, 1510, 21438, 1852, 610, 11865, 540, 513, 2518, 2203, 269, 3267, 519, 4987, 540, 519, 2220, 1301, 568, 1759, 21739, 593, 2792, 269, 3267, 519, 4759, 540, 519, 21318, 798, 711, 723, 547, 1831, 519, 1482, 610, 15646, 8784, 741, 5876, 538, 1931, 547, 5968, 543, 28111, 609, 1142, 824, 269, 1358, 2611, 1114, 538, 2474, 540, 5198, 267, 3023, 267, 14920, 543, 865, 8521, 269, 1284, 991, 547, 1174, 267, 1287, 267, 568, 519, 7104, 4987, 602, 666, 10836, 689, 519, 2792, 543, 9316, 540, 971, 9867, 3818, 13109, 563, 15987, 930, 12167, 14839, 267, 1582, 268, 1506, 335, 16915, 267, 543, 824, 2553, 585, 8236, 1582, 3146, 531, 1436, 267, 1034, 9437, 2969, 3292, 1445, 593, 2792, 1983, 543, 519, 1198, 540, 1893, 593, 2219, 543, 2623, 269, 8409, 4881, 519, 3292, 1590, 14133, 538, 1346, 1983, 269, 634, 30157, 616, 4665, 2209, 563, 9824, 16406, 2152, 11735, 267, 519, 14733, 5626, 2470, 540, 1082, 540, 519, 5751, 1369, 1082, 540, 891, 3292, 568, 540, 6161, 269, 1284, 3112, 20912, 519, 1249, 602, 789, 8057, 856, 540, 519, 3810, 13720, 1049, 1895, 3797, 2553, 5189, 676, 519, 7237, 267, 8417, 267, 543, 1804, 1895, 4656, 2866, 5322, 563, 7212, 1082, 2442, 1344, 1949, 4058, 16097, 267, 1374, 4485, 267, 543, 1585, 2645, 543, 2553, 798, 711, 840, 2850, 610, 616, 711, 22522, 609, 13055, 7400, 2079, 267, 1906, 540, 873, 12799, 2232, 610, 3801, 547, 5581, 13055, 25121, 563, 2005, 568, 1369, 519, 1625, 1613, 540, 1142, 2796, 547, 5581, 922, 1378, 3652, 543, 2553, 585, 14045, 875, 519, 1843, 15129, 6127, 543, 3741, 616, 547, 581, 7307, 269, 1656, 1247, 519, 9614, 540, 513, 1804, 1344, 1062, 1522, 6999, 547, 20818, 930, 3652, 1759, 593, 10952, 12406, 267, 689, 519, 5133, 540, 13055, 6189, 267, 972, 568, 1100, 2601, 547, 1118, 3664, 693, 713, 1377, 269, 3962, 2796, 1058, 5581, 922, 1378, 1843, 339, 2032, 563, 22033, 2359, 568, 513, 2165, 799, 568, 1373, 1031, 5051, 547, 2769, 519, 4657, 2470, 540, 5399, 543, 1344, 960, 269, 9122, 1523, 1302, 538, 1344, 2257, 621, 4564, 513, 19427, 540, 519, 1909, 10645, 585, 519, 1344, 10196, 609, 602, 540, 519, 7172, 4115, 945, 568, 6385, 8508, 1007, 2553, 538, 1931, 547, 11883, 609, 519, 1344, 16411, 563, 763, 13431, 310, 1788, 12388, 525, 519, 2553, 540, 1344, 23023, 543, 5409, 3667, 547, 1118, 606, 2653, 855, 3532, 2518, 1344, 1062, 269, 634, 1788, 3323, 609, 519, 6138, 602, 1454, 4081, 1344, 1058, 581, 11884, 2139, 547, 4896, 269, 898, 6663, 547, 1450, 1344, 4687, 1369, 18368, 24797, 6887, 267, 543, 519, 23425, 540, 1344, 676, 1489, 2516, 563, 3528, 519, 1439, 540, 519, 2112, 519, 1007, 3014, 5376, 6776, 2409, 602, 1185, 1044, 2919, 676, 13153, 3026, 30977, 543, 5651, 2102, 560, 1716, 941, 3773, 547, 519, 32367, 543, 6310, 2553, 602, 4238, 1382, 3744, 18611, 269, 1452, 9863, 1360, 3407, 267, 543, 3014, 5376, 6776, 4485, 3576, 593, 1390, 2956, 1310, 519, 2112, 563, 763, 1646, 630, 337, 1430, 982, 519, 1686, 264, 540, 4238, 1382, 607, 513, 2257, 5161, 540, 519, 1646, 540, 922, 2409, 267, 2035, 267, 543, 2553, 269, 15051, 1382, 568, 9444, 513, 1505, 6862, 513, 4480, 282, 621, 568, 610, 568, 4742, 513, 2257, 543, 607, 971, 568, 3989, 676, 513, 4999, 540, 519, 9259, 621, 2090, 563, 763, 6161, 540, 10758, 609, 4466, 606, 19993, 3375, 267, 3609, 267, 610, 1374, 568, 835, 540, 922, 1898, 4162, 269, 898, 1281, 711, 3343, 8806, 547, 5581, 513, 1732, 3070, 547, 513, 1966, 982, 519, 835, 538, 946, 282, 621, 11394, 519, 1655, 3070, 1862, 1496, 2005, 316, 666, 581, 6353, 607, 519, 3498, 540, 3621, 2409, 267, 2553, 267, 543, 2645, 547, 2042, 5473, 519, 4238, 540, 1949, 865, 607, 547, 1683, 1346, 538, 1852, 540, 519, 4238, 609, 19993, 3435, 547, 519, 2042, 563, 31416, 31290, 281, 630, 320, 21993, 18502, 269, 2219, 1852, 267, 2247, 1852, 267, 28170, 633, 30373, 1040, 589, 1875, 8686, 2723, 550, 1505, 602, 3096, 2247, 1852, 2553, 547, 18609, 513, 1268, 547, 10205, 930, 540, 741, 2596, 4978, 543, 9772, 519, 4978, 540, 519, 967, 24934, 12541, 1807, 563, 763, 10388, 2553, 1031, 676, 2698, 626, 1381, 338, 547, 12622, 543, 17908, 519, 2818, 267, 1247, 711, 9589, 610, 1102, 718, 1043, 267, 616, 18481, 3532, 543, 2500, 547, 26924, 519, 19684, 540, 513, 1713, 6871, 540, 1346, 14059, 267, 543, 519, 12802, 540, 513, 1713, 6871, 540, 1346, 21821, 539, 563, 15307, 568, 7449, 25390, 896, 1412, 1278, 1582, 21553, 2889, 22777, 2516, 8339, 634, 8545, 4440, 17663, 2516, 585, 799, 6754, 1261, 601, 553, 22579, 519, 2165, 1412, 1345, 3146, 5554, 687, 9166, 2516, 799, 2709, 2553, 543, 2853, 799, 5000, 1995, 543, 19870, 540, 519, 1582, 630, 3891, 601, 553, 476, 2735, 273, 282, 476, 2735, 275, 282, 476, 2735, 279, 1916, 1862, 1492, 1480, 1761, 543, 21911, 5322, 267, 607, 1134, 607, 519, 811, 1412, 5158, 268, 3530, 15256, 262, 1715, 16241, 28073, 543, 10764, 540, 519, 1582, 269, 901, 729, 519, 1950, 1158, 540, 519, 2836, 4613, 1014, 1412, 17595, 984, 629, 1076, 3299, 540, 6982, 1108, 543, 1609, 630, 292, 9071, 731, 12054, 21577, 9751, 267, 2663, 1572, 1280, 4548, 8416, 1070, 540, 7402, 3300, 20492, 267, 9066, 2553, 543, 1582, 25298, 8261, 338, 2966, 547, 4217, 2043, 1412, 9418, 1047, 741, 1761, 23823, 5445, 1448, 547, 519, 17035, 602, 7153, 689, 23011, 1014, 3797, 267, 25415, 1014, 3797, 543, 2618, 617, 18769, 269, 1358, 13712, 1018, 789, 1289, 1582, 3146, 5554, 687, 899, 1609, 543, 519, 13794, 540, 13225, 698, 9774, 267, 1312, 540, 799, 2721, 593, 5375, 9354, 2553, 543, 849, 2322, 4464, 513, 1106, 540, 8109, 17035, 563, 2467, 616, 1082, 1808, 2553, 602, 1110, 25527, 946, 267, 799, 5512, 721, 547, 3605, 3344, 540, 4641, 602, 949, 711, 581, 6654, 547, 3025, 2483, 1103, 519, 15795, 2540, 645, 5861, 1421, 717, 2246, 4821, 267, 606, 589, 32569, 19036, 1782, 593, 519, 7187, 20281, 540, 3127, 267, 19775, 513, 6926, 752, 569, 533, 612, 574, 2065, 6138, 602, 6825, 569, 20998, 5576, 13449, 327, 21516, 781, 269, 901, 1164, 14985, 540, 2258, 566, 267, 585, 4128, 602, 1131, 2154, 606, 3573, 3140, 7778, 267, 2968, 5393, 2442, 267, 855, 729, 1585, 569, 14648, 676, 693, 2547, 29933, 15180, 3506, 267, 1142, 540, 799, 10645, 4805, 547, 8190, 519, 3020, 3450, 540, 717, 2246, 4821, 519, 17700, 267, 543, 717, 2246, 4821, 781, 28191, 699, 19473, 1143, 729, 7930, 13572, 543, 25848, 3293, 676, 519, 8912, 24396, 2553, 267, 865, 602, 513, 6138, 602, 729, 5497, 547, 5486, 656, 4984, 729, 10736, 883, 1175, 1776, 14969, 543, 4121, 22530, 819, 269, 0, 23911, 13838, 616, 1547, 6853, 6119, 609, 9226, 3009, 269, 5272, 5124, 3758, 666, 581, 26518, 607, 513, 9074, 269, 7383, 532, 13838, 568, 2147, 547, 1104, 532, 3252, 543, 568, 2944, 676, 1603, 1104, 2999, 4067, 540, 519, 9074, 20101, 1403, 596, 1616, 547, 1331, 707, 1582, 2854, 9074, 596, 723, 547, 581, 3222, 602, 782, 1346, 6119, 723, 547, 581, 538, 519, 1482, 15682, 563, 4131, 26141, 8263, 602, 649, 723, 513, 1582, 2854, 9074, 3957, 1018, 338, 1575, 18258, 799, 568, 538, 519, 1482, 15682, 607, 938, 1292, 3758, 269, 26451, 621, 543, 10912, 3252, 666, 581, 2944, 538, 602, 1259, 912, 8170, 1576, 596, 666, 946, 519, 14595, 1104, 3681, 594, 4951, 538, 9457, 344, 5881, 281, 0, 21196, 476, 2767, 630, 1993, 476, 6977, 264, 556, 2657, 1299, 8881, 630, 25217, 26639, 264, 530, 7064, 547, 7711, 611, 600, 330, 9127, 454, 9213, 649, 3323, 609, 513, 2671, 676, 8225, 10493, 1014, 14088, 918, 9127, 269, 1261, 15091, 519, 2956, 540, 10312, 269, 1261, 3379, 1010, 31939, 607, 851, 540, 2185, 1004, 4737, 532, 2066, 519, 5836, 1373, 10930, 982, 14964, 513, 27576, 630, 517, 513, 4939, 6476, 264, 543, 1500, 606, 21658, 547, 6117, 513, 1286, 1107, 3006, 811, 3106, 2934, 2306, 596, 1447, 5059, 2507, 907, 330, 1749, 586, 2454, 538, 1394, 267, 6049, 30366, 3092, 5288, 535, 1539, 540, 14964, 513, 11332, 630, 2254, 16460, 6049, 607, 3668, 540, 9885, 1696, 620, 2333, 1445, 270, 10277, 1145, 540, 3388, 3116, 2469, 593, 16634, 663, 596, 666, 914, 602, 950, 789, 941, 593, 519, 5836, 789, 941, 966, 28475, 5059, 563, 15987, 1256, 1287, 621, 568, 2009, 547, 723, 8090, 1141, 3007, 666, 581, 4503, 269, 2334, 568, 1141, 7041, 6927, 269, 1879, 789, 3765, 9080, 3022, 513, 5951, 543, 606, 522, 541, 13264, 16634, 16269, 941, 2111, 547, 11766, 513, 4262, 19671, 543, 2327, 789, 941, 2922, 538, 1931, 547, 1205, 1919, 6378, 630, 618, 958, 543, 3937, 958, 1916, 4517, 1287, 606, 1383, 540, 1018, 5949, 950, 519, 10935, 11503, 1242, 269, 1656, 9811, 267, 1256, 1498, 789, 1185, 5423, 585, 713, 2507, 514, 3069, 16634, 1492, 4641, 2731, 11363, 875, 596, 4308, 609, 7827, 3927, 269, 5269, 2386, 596, 666, 6952, 707, 7362, 269, 27297, 1018, 519, 4957, 2175, 630, 516, 1275, 264, 616, 563, 307, 749, 2984, 815, 7340, 454, 5938, 778, 24866, 815, 3314, 454, 1103, 341, 9876, 519, 5304, 815, 1451, 454, 2791, 2052, 5706, 10758, 2052, 1491, 593, 5539, 454, 5278, 1919, 649, 666, 1852, 912, 20806, 3188, 281, 1018, 568, 707, 1985, 7108, 29274, 4090, 286, 1548, 616, 596, 3001, 2509, 888, 1432, 616, 596, 3257, 547, 1205, 4712, 888, 20112, 29274, 16474, 757, 991, 13287, 540, 912, 263, 4517, 9427, 2258, 2510, 540, 1346, 994, 5415, 982, 8236, 281, 5763, 5898, 543, 21239, 630, 8117, 13287, 540, 4835, 9716, 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 ]
[ 21506, 476, 30240, 2276, 1114, 4778, 676, 1210, 607, 1906, 652, 1114, 4778, 607, 2009, 23228, 18257, 1477, 5814, 19523, 5897, 18257, 1477, 2171, 786, 8675, 1239, 1826, 547, 2099, 519, 519, 4786, 540, 519, 2475, 538, 1106, 540, 606, 3768, 20526, 3113, 23228, 763, 1412, 4486, 262, 4564, 513, 2475, 1533, 630, 320, 14584, 538, 519, 3113, 1040, 1477, 763, 1412, 7407, 262, 4564, 513, 1592, 540, 11105, 2276, 630, 29951, 8809, 14622, 264, 547, 519, 2285, 1533, 630, 591, 23753, 1040, 1477, 18257, 1477, 29951, 659, 1890, 8548, 777, 15058, 318, 24433, 815, 2715, 1477, 262, 288, 298, 9166, 1496, 3910, 1477, 262, 3201, 9166, 18358, 5960, 12887, 307, 301, 12887, 16598, 12887, 14566, 28710, 1477, 262, 2752, 9166, 18358, 19616, 12887, 307, 301, 12887, 5960, 12887, 6369, 12887, 307, 311, 12887, 10498, 28710, 1477, 262, 288, 313, 9166, 18358, 7563, 12887, 301, 309, 12887, 7473, 12887, 4596, 12887, 301, 300, 28710, 1477, 262, 7563, 9166, 18358, 3036, 12887, 301, 309, 12887, 288, 313, 28710, 1477, 262, 4596, 9166, 18358, 310, 312, 12887, 20911, 12887, 16775, 12887, 10498, 12887, 301, 300, 12887, 288, 313, 12887, 7473, 28710, 1477, 262, 6311, 9166, 18358, 29369, 12887, 7246, 12887, 6020, 28710, 1477, 262, 291, 290, 9166, 18358, 13270, 12887, 22849, 28710, 1477, 262, 291, 292, 9166, 18358, 13270, 12887, 5183, 12887, 301, 297, 28710, 1477, 262, 14566, 9166, 18358, 3201, 12887, 16598, 28710, 1477, 262, 16598, 9166, 18358, 14566, 12887, 3201, 12887, 307, 301, 12887, 10998, 12887, 17092, 28710, 1477, 262, 26980, 9166, 1496, 3910, 1477, 262, 8656, 9166, 18358, 300, 301, 12887, 310, 296, 12887, 6579, 12887, 19616, 12887, 20911, 12887, 16256, 28710, 1477, 262, 2839, 9166, 18358, 21587, 12887, 310, 312, 12887, 7473, 12887, 301, 309, 12887, 3036, 12887, 23354, 28710, 1477, 262, 6579, 9166, 18358, 2562, 12887, 298, 312, 12887, 19616, 12887, 8656, 12887, 310, 296, 28710, 1477, 262, 2562, 9166, 18358, 11085, 12887, 15121, 12887, 298, 312, 12887, 6579, 28710, 1477, 262, 16775, 9166, 18358, 20911, 12887, 19616, 12887, 10498, 12887, 4596, 28710, 1477, 262, 298, 312, 9166, 18358, 2562, 12887, 15121, 12887, 310, 309, 12887, 22849, 12887, 307, 301, 12887, 19616, 12887, 6579, 28710, 1477, 262, 6369, 9166, 18358, 307, 311, 12887, 2752, 12887, 5960, 28710, 1477, 262, 300, 288, 9166, 18358, 6020, 12887, 6311, 12887, 29369, 12887, 26822, 12887, 309, 307, 28710, 1477, 262, 300, 291, 9166, 18358, 22849, 12887, 310, 309, 12887, 5183, 12887, 17584, 12887, 14701, 28710, 1477, 262, 300, 292, 9166, 18358, 26822, 28710, 1477, 262, 300, 296, 9166, 18358, 310, 296, 12887, 2562, 12887, 15121, 28710, 1477, 262, 300, 301, 9166, 18358, 310, 296, 12887, 8656, 12887, 16256, 12887, 21254, 28710, 1477, 262, 300, 302, 9166, 18358, 8656, 12887, 6579, 12887, 298, 312, 12887, 307, 301, 12887, 2752, 12887, 10498, 12887, 16775, 12887, 20911, 28710, 1477, 262, 300, 306, 9166, 18358, 6369, 12887, 2752, 12887, 307, 301, 12887, 3201, 28710, 1477, 262, 300, 307, 9166, 18358, 21254, 12887, 16256, 12887, 310, 312, 12887, 2839, 28710, 1477, 262, 10998, 9166, 18358, 22849, 12887, 307, 301, 12887, 16598, 12887, 17092, 28710, 1477, 262, 21254, 9166, 18358, 300, 301, 12887, 16256, 12887, 21587, 28710, 1477, 262, 20911, 9166, 18358, 16256, 12887, 8656, 12887, 19616, 12887, 16775, 12887, 4596, 12887, 310, 312, 28710, 1477, 262, 26822, 9166, 18358, 309, 307, 12887, 10933, 12887, 7246, 28710, 1477, 262, 301, 297, 9166, 18358, 14701, 12887, 5183, 12887, 29369, 28710, 1477, 262, 301, 300, 9166, 18358, 288, 313, 12887, 7473, 12887, 4596, 12887, 10498, 12887, 307, 311, 28710, 1477, 262, 301, 309, 9166, 18358, 2839, 12887, 7473, 12887, 288, 313, 12887, 7563, 12887, 3036, 28710, 1477, 262, 29369, 9166, 18358, 301, 297, 12887, 5183, 12887, 309, 307, 12887, 7246, 12887, 6311, 28710, 1477, 262, 15121, 9166, 18358, 5183, 12887, 310, 309, 12887, 298, 312, 12887, 2562, 12887, 11085, 28710, 1477, 262, 10498, 9166, 18358, 16775, 12887, 19616, 12887, 2752, 12887, 307, 311, 12887, 301, 300, 12887, 4596, 28710, 1477, 262, 3036, 9166, 18358, 7563, 12887, 301, 309, 12887, 2839, 12887, 23354, 28710, 1477, 262, 5183, 9166, 18358, 29369, 12887, 301, 297, 12887, 14701, 12887, 13270, 12887, 310, 309, 12887, 15121, 28710, 1477, 262, 6020, 9166, 18358, 6311, 12887, 7246, 28710, 1477, 24202, 290, 9166, 18358, 16598, 12887, 10998, 28710, 1477, 24202, 291, 9166, 18358, 21254, 12887, 300, 301, 12887, 8656, 12887, 20911, 12887, 310, 312, 12887, 21587, 28710, 1477, 31415, 301, 9166, 18358, 298, 312, 12887, 22849, 12887, 10998, 12887, 16598, 12887, 3201, 12887, 5960, 12887, 2752, 12887, 19616, 28710, 1477, 31415, 311, 9166, 18358, 301, 300, 12887, 10498, 12887, 2752, 12887, 6369, 28710, 1477, 262, 7473, 9166, 18358, 2839, 12887, 310, 312, 12887, 4596, 12887, 301, 300, 12887, 288, 313, 12887, 301, 309, 28710, 1477, 262, 22849, 9166, 18358, 10998, 12887, 307, 301, 12887, 298, 312, 12887, 310, 309, 12887, 13270, 12887, 17584, 28710, 1477, 262, 309, 307, 9166, 18358, 29369, 12887, 26822, 12887, 7246, 28710, 1477, 262, 23354, 9166, 18358, 2839, 12887, 3036, 28710, 1477, 262, 310, 296, 9166, 18358, 11085, 12887, 300, 301, 12887, 8656, 12887, 6579, 28710, 1477, 262, 310, 309, 9166, 18358, 15121, 12887, 5183, 12887, 13270, 12887, 22849, 12887, 298, 312, 28710, 1477, 262, 310, 312, 9166, 18358, 21587, 12887, 16256, 12887, 20911, 12887, 4596, 12887, 7473, 12887, 2839, 11172, 1477, 348, 24653, 18257, 1477, 19152, 281, 476, 272, 9936, 1477, 453, 14090, 281, 453, 283, 323, 5315, 285, 1477, 453, 453, 4486, 281, 476, 453, 283, 11415, 285, 476, 453, 28442, 540, 513, 3557, 3418, 453, 453, 7407, 281, 476, 453, 283, 4289, 285, 476, 453, 453, 17338, 540, 11105, 2276, 10142, 20479, 281, 476, 272, 1871, 1477, 453, 3712, 1819, 8548, 777, 281, 453, 283, 323, 5315, 285, 1477, 453, 453, 4486, 281, 476, 453, 283, 11415, 285, 476, 453, 28442, 540, 513, 3557, 3418, 453, 453, 7407, 281, 476, 453, 283, 842, 285, 476, 453, 453, 263, 10233, 540, 519, 3557, 3418, 18257, 1477, 3698, 530, 19977, 7272, 578, 749, 318, 14607, 3596, 332, 9852, 777, 8029, 453, 1477, 453, 15893, 15058, 22674, 832, 815, 476, 271, 1948, 1297, 540, 4778, 1031, 547, 2681, 519, 4786, 23228, 453, 1477, 453, 258, 513, 8675, 609, 1412, 4486, 262, 568, 519, 2012, 540, 513, 3557, 267, 543, 1412, 7407, 262, 568, 519, 1297, 540, 11105, 2276, 547, 602, 3557, 23228, 453, 1998, 766, 8548, 777, 815, 9598, 18750, 760, 9852, 777, 269, 12399, 19572, 1496, 6352, 9852, 777, 20572, 8079, 585, 1535, 538, 4786, 269, 12399, 3890, 8079, 10142, 453, 258, 513, 1592, 540, 2276, 15044, 676, 519, 1297, 540, 11105, 2276, 585, 1142, 3557, 630, 1492, 3557, 609, 1034, 11105, 2276, 7396, 1101, 1040, 1477, 453, 338, 9285, 8217, 15058, 14067, 919, 815, 15044, 263, 1998, 766, 8548, 777, 267, 1883, 815, 1130, 766, 8548, 777, 10947, 267, 9258, 815, 6936, 3418, 453, 1477, 453, 258, 15475, 602, 649, 991, 476, 2004, 1114, 4778, 585, 476, 2004, 1114, 2276, 23228, 453, 3712, 832, 815, 1496, 15947, 22610, 1775, 538, 2039, 263, 2004, 267, 476, 271, 267, 910, 272, 2567, 1948, 4778, 616, 3957, 476, 272, 267, 476, 273, 267, 476, 274, 267, 24222, 476, 2004, 23228, 453, 453, 3712, 832, 6910, 9217, 3418, 453, 1477, 453, 258, 513, 8675, 5627, 782, 2276, 609, 741, 4778, 269, 21506, 453, 3712, 1819, 8548, 777, 815, 15079, 1477, 22610, 1883, 538, 4786, 269, 12399, 28399, 453, 453, 3712, 1819, 8548, 777, 314, 4486, 316, 815, 1412, 29734, 262, 1948, 7620, 267, 782, 2276, 262, 4778, 616, 10145, 23228, 4848, 1477, 22610, 4994, 538, 2039, 12759, 4433, 9285, 8217, 15058, 14067, 919, 264, 2567, 1948, 585, 1142, 3557, 538, 519, 15044, 1592, 23228, 453, 453, 8063, 815, 15044, 8217, 15058, 14067, 919, 27709, 316, 1948, 2824, 519, 3557, 609, 5207, 32447, 593, 519, 15044, 1592, 23228, 453, 14851, 630, 3712, 1819, 8548, 777, 314, 8063, 316, 2652, 1412, 29734, 262, 2567, 1948, 952, 713, 3557, 568, 711, 11954, 2943, 23228, 4848, 453, 2908, 318, 10233, 815, 4778, 21014, 3890, 1948, 3442, 513, 1007, 2681, 689, 519, 1305, 540, 4778, 23228, 4848, 453, 3712, 1819, 8548, 777, 314, 8063, 316, 815, 1007, 318, 10233, 1948, 2681, 713, 3557, 609, 713, 1007, 2681, 23228, 4848, 453, 15893, 15058, 22674, 832, 6834, 476, 272, 1948, 2333, 1297, 540, 4778, 1031, 23228, 4848, 1477, 4848, 453, 258, 3004, 2091, 1524, 519, 1592, 6730, 2681, 1169, 3557, 1477, 4848, 453, 258, 453, 6518, 568, 711, 4448, 547, 519, 11954, 2276, 1657, 519, 1482, 2681, 23228, 4848, 22610, 824, 26077, 538, 15044, 8217, 15058, 14067, 919, 27709, 1341, 476, 272, 281, 316, 6769, 15235, 453, 4777, 318, 2254, 318, 10233, 815, 8771, 1948, 713, 4756, 1031, 547, 6430, 2436, 610, 711, 649, 4019, 513, 2681, 547, 513, 14584, 23228, 15235, 14851, 263, 3712, 1819, 8548, 777, 314, 1278, 26077, 316, 2652, 1412, 29734, 262, 2567, 1948, 952, 519, 3557, 568, 711, 11954, 2943, 23228, 20930, 14851, 9852, 777, 314, 1278, 26077, 316, 2652, 15234, 2567, 1948, 952, 513, 3557, 814, 1100, 16705, 23228, 4848, 15235, 453, 3712, 1819, 8548, 777, 314, 1278, 26077, 316, 815, 476, 272, 1948, 4019, 519, 2681, 476, 272, 547, 602, 3557, 269, 769, 938, 2013, 267, 14522, 543, 16127, 616, 2681, 476, 272, 23228, 20930, 28432, 281, 1948, 952, 513, 3557, 814, 693, 25755, 476, 272, 16705, 1477, 4848, 15235, 22610, 11105, 26077, 538, 4786, 314, 1278, 26077, 13912, 1948, 585, 1142, 3557, 11105, 547, 519, 1412, 1278, 26077, 8339, 1477, 20930, 4848, 14851, 263, 3712, 1819, 8548, 777, 314, 29951, 8809, 26077, 316, 2652, 1007, 318, 10233, 2567, 1948, 952, 835, 540, 519, 1412, 29951, 8809, 26077, 262, 814, 519, 1412, 2908, 318, 10233, 8339, 1477, 20930, 15235, 453, 4777, 318, 2254, 318, 10233, 815, 6936, 1948, 798, 711, 2681, 519, 1412, 1278, 26077, 8339, 1477, 20930, 15235, 453, 19874, 1477, 4848, 15235, 14851, 263, 4777, 318, 2254, 318, 10233, 2652, 8771, 2567, 1948, 952, 9039, 540, 519, 1412, 29951, 8809, 26077, 262, 814, 519, 1412, 2908, 318, 10233, 8339, 1477, 20930, 4848, 453, 3712, 1819, 8548, 777, 314, 1278, 26077, 316, 815, 1007, 318, 10233, 1948, 1948, 2681, 519, 1412, 1278, 26077, 8339, 1477, 20930, 15235, 1477, 13537, 3488, 2467, 616, 3299, 1297, 15058, 22674, 832, 267, 1412, 18528, 5166, 4778, 941, 1031, 256, 10807, 1948, 1820, 856, 1297, 540, 4778, 1031, 269, 4848, 15235, 1477, 16596, 11954, 8548, 777, 1948, 2132, 519, 11954, 4528, 540, 519, 772, 2529, 269, 4786, 269, 5897, 258, 19334, 519, 1599, 1820, 3890, 2630, 547, 1820, 856, 519, 1267, 630, 320, 8675, 1040, 453, 1477, 2745, 26028, 19977, 7272, 578, 749, 318, 14607, 3596, 332, 263, 29951, 659, 1890, 8548, 777, 15058, 318, 24433, 17903, 5897, 5897, 5897, 5897, 5897, 5897, 24653 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 272, 8386, 974, 2473, 3036, 1883, 585, 5569, 563, 3698, 7058, 318, 272, 2421, 974, 13448, 528, 19304, 272, 2187, 825, 1193, 318, 6352, 815, 7003, 19304, 272, 994, 825, 8464, 815, 31460, 825, 5931, 815, 31460, 825, 585, 1775, 538, 2039, 263, 3953, 267, 476, 14695, 2187, 1038, 1883, 815, 669, 337, 9217, 994, 1038, 1883, 23919, 815, 1883, 2608, 1193, 318, 6352, 454, 1038, 10750, 3667, 815, 535, 343, 528, 19304, 272, 267, 1883, 23919, 994, 1038, 5931, 314, 4486, 316, 815, 10750, 3667, 454, 1038, 8464, 314, 4486, 316, 815, 6060, 263, 21622, 3667, 994, 825, 1883, 815, 3193, 4433, 13990, 267, 1883, 284, 338, 13990, 10947, 994, 825, 1164, 23962, 815, 8464, 314, 4486, 2639, 825, 1257, 815, 5931, 314, 4486, 2639, 825, 1948, 1820, 1412, 4486, 281, 1412, 1341, 1883, 454, 825, 1948, 1820, 1412, 3667, 281, 1412, 1341, 1257, 454, 825, 2132, 27835, 4486, 9166, 1883, 267, 1412, 16557, 9166, 1164, 23962, 267, 1412, 3667, 9166, 1257, 10926, 258, 24143, 513, 5569, 1759, 593, 679, 1501, 4484, 12451, 563, 3698, 6060, 19304, 272, 2187, 825, 1193, 272, 815, 1193, 272, 31573, 4590, 825, 12451, 815, 4484, 6958, 7528, 4293, 4590, 825, 521, 338, 815, 476, 271, 269, 271, 454, 825, 585, 4484, 538, 12451, 269, 3438, 12399, 10031, 1038, 4397, 6958, 15968, 815, 12451, 314, 12072, 2639, 1038, 4890, 6958, 15968, 815, 1193, 272, 29644, 263, 12072, 994, 1038, 521, 338, 6834, 4073, 263, 716, 783, 6958, 15968, 910, 4397, 6958, 15968, 267, 476, 273, 994, 825, 2132, 521, 338, 692, 258, 6875, 15279, 10276, 322, 10757, 5569, 543, 6460, 547, 3490, 5038, 563, 3698, 15279, 273, 321, 5038, 263, 28411, 23919, 2187, 825, 2132, 15279, 23919, 19709, 13892, 3488, 28411, 262, 1040, 523, 13892, 3488, 19668, 5038, 17210, 258, 17776, 9598, 540, 7005, 4484, 12451, 563, 3698, 4484, 6958, 7528, 4293, 10031, 476, 2132, 27835, 320, 9166, 271, 269, 32146, 6858, 267, 1412, 321, 9166, 271, 269, 26522, 10844, 267, 1412, 322, 9166, 271, 269, 271, 2767, 11025, 267, 1412, 323, 9166, 271, 269, 271, 5655, 7871, 267, 1412, 324, 9166, 271, 269, 14096, 6349, 267, 1412, 325, 9166, 271, 269, 28873, 2764, 267, 1412, 326, 9166, 271, 269, 22903, 1428, 267, 1412, 327, 9166, 271, 269, 271, 2568, 11463, 267, 1412, 328, 9166, 271, 269, 6187, 280, 5780, 267, 1412, 329, 9166, 271, 269, 9826, 7871, 267, 1412, 330, 9166, 271, 269, 23669, 7761, 267, 1412, 331, 9166, 271, 269, 31239, 1839, 267, 1412, 332, 9166, 271, 269, 271, 2190, 6187, 267, 1412, 333, 9166, 271, 269, 6187, 278, 5392, 267, 1412, 334, 9166, 271, 269, 271, 4037, 5881, 267, 1412, 335, 9166, 271, 269, 25171, 3066, 267, 1412, 336, 9166, 271, 269, 1822, 4817, 267, 1412, 337, 9166, 271, 269, 4962, 280, 9262, 267, 1412, 338, 9166, 271, 269, 6187, 274, 2767, 267, 1412, 339, 9166, 271, 269, 271, 3445, 6321, 267, 1412, 340, 9166, 271, 269, 271, 2767, 6812, 267, 1412, 341, 9166, 271, 269, 27947, 4281, 267, 1412, 342, 9166, 271, 269, 271, 2537, 2568, 267, 1412, 343, 9166, 271, 269, 9826, 2004, 267, 1412, 344, 9166, 271, 269, 25171, 10619, 267, 1412, 345, 9166, 271, 269, 1822, 10619, 267, 1412, 1412, 281, 271, 269, 2641, 10926, 258, 30770, 30623, 532, 3845, 1063, 1079, 12673, 563, 3698, 554, 2459, 532, 19304, 272, 267, 1193, 273, 2187, 825, 2132, 2040, 6025, 984, 1080, 6600, 343, 528, 19304, 272, 267, 1193, 273, 4297, 2020, 258, 22417, 5569, 547, 11353, 630, 5228, 10518, 1478, 6503, 1916, 3698, 10119, 1080, 4433, 2187, 825, 1267, 815, 11713, 825, 585, 524, 538, 521, 912, 1038, 11353, 815, 10822, 263, 867, 6262, 4297, 314, 273, 281, 2639, 1038, 11353, 815, 1412, 1822, 1822, 876, 262, 314, 6352, 6357, 1080, 2567, 316, 1341, 11353, 454, 1038, 1267, 269, 2169, 754, 8443, 842, 6357, 264, 585, 536, 538, 11353, 7481, 825, 2132, 1267, 692, 258, 2871, 612, 678, 343, 528, 10569, 1125, 563, 3698, 678, 343, 528, 318, 12399, 1125, 19304, 272, 2187, 825, 10569, 3278, 815, 31460, 825, 585, 10569, 1125, 538, 2039, 263, 273, 267, 476, 2412, 2187, 1038, 3845, 815, 476, 271, 454, 1038, 7161, 815, 1496, 1193, 272, 314, 12399, 1125, 265, 328, 281, 12399, 1125, 16732, 328, 266, 272, 13580, 585, 1775, 538, 2039, 263, 275, 264, 23378, 1038, 585, 1775, 538, 2039, 263, 275, 2187, 2018, 585, 795, 538, 2039, 9217, 2187, 3546, 952, 630, 328, 11203, 795, 2187, 7386, 3845, 6834, 554, 2459, 532, 263, 4565, 4169, 5157, 3910, 7161, 14728, 7481, 1038, 10569, 3278, 314, 12399, 1125, 316, 815, 3845, 1315, 10581, 263, 12399, 1125, 994, 825, 2132, 1295, 263, 12399, 3278, 267, 1883, 284, 12399, 3278, 10947, 2020, 258, 15434, 1188, 678, 343, 528, 454, 3698, 678, 343, 528, 6831, 571, 1188, 19304, 272, 267, 10569, 1125, 2187, 825, 7161, 815, 1496, 1193, 272, 314, 12399, 1125, 265, 328, 281, 12399, 1125, 16732, 328, 266, 272, 13580, 585, 1775, 538, 2039, 12759, 19304, 272, 8358, 12399, 1125, 22708, 825, 512, 4565, 4169, 815, 31460, 825, 585, 1775, 538, 2039, 263, 12399, 1125, 2187, 1038, 1883, 23026, 815, 1412, 7055, 1038, 585, 795, 538, 2039, 12759, 263, 4565, 4169, 15892, 2018, 1883, 23026, 815, 1883, 23026, 1341, 7161, 14728, 6012, 328, 2639, 1038, 512, 4565, 4169, 5157, 316, 815, 1883, 23026, 454, 825, 1883, 815, 1412, 7055, 825, 585, 1775, 538, 2039, 263, 12399, 1125, 2187, 1038, 1883, 815, 1883, 1341, 7058, 318, 272, 2421, 974, 13448, 528, 6025, 4565, 4169, 5157, 8079, 9131, 4486, 23300, 825, 2132, 1883, 692, 3698, 14950, 7272, 330, 14369, 278, 19304, 272, 267, 3259, 2187, 825, 2132, 1193, 7272, 611, 19304, 272, 267, 3259, 267, 27719, 343, 6860, 5602, 0, 3698, 17278, 27182, 2187, 825, 4484, 290, 3941, 815, 1496, 867, 9217, 264, 476, 585, 1775, 538, 2262, 2639, 825, 4484, 290, 3941, 314, 271, 316, 6834, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 12072, 290, 3941, 15892, 1038, 4484, 290, 3941, 5157, 316, 476, 6834, 4484, 290, 3941, 5157, 910, 272, 316, 3097, 825, 585, 1775, 538, 2039, 12759, 263, 12072, 290, 3941, 15892, 1038, 1247, 630, 12072, 290, 3941, 5157, 316, 711, 538, 2039, 263, 867, 3488, 320, 30670, 630, 867, 3488, 345, 10807, 1341, 476, 272, 4297, 2187, 2018, 4484, 290, 3941, 5157, 316, 20699, 476, 2918, 454, 825, 1267, 815, 1496, 577, 337, 9217, 264, 585, 1775, 538, 4484, 290, 3941, 2639, 825, 2132, 1412, 8339, 21860, 31114, 994, 3698, 1232, 7973, 27182, 2187, 825, 4484, 290, 3941, 476, 815, 1496, 867, 9217, 264, 585, 1775, 538, 2262, 2639, 825, 3105, 815, 4484, 290, 3941, 314, 271, 2639, 825, 4484, 290, 3941, 314, 271, 316, 20699, 476, 272, 454, 825, 4484, 290, 3941, 314, 271, 316, 815, 3142, 4504, 334, 305, 1052, 263, 12072, 290, 3941, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 12072, 290, 3941, 15892, 1038, 10917, 815, 4484, 290, 3941, 5157, 2639, 1038, 4484, 290, 3941, 5157, 316, 20699, 3105, 454, 1038, 4484, 290, 3941, 5157, 316, 815, 3142, 4504, 334, 305, 1052, 263, 12072, 290, 3941, 5157, 7481, 1038, 3105, 815, 476, 10917, 454, 825, 1267, 815, 1496, 577, 337, 9217, 264, 585, 1775, 538, 4484, 290, 3941, 2639, 825, 2132, 1412, 8339, 21860, 31114, 994, 3698, 3142, 4504, 334, 305, 1052, 6262, 1712, 2187, 825, 1247, 263, 2254, 6262, 1712, 13843, 476, 9032, 543, 3009, 10922, 476, 14338, 15892, 1038, 3009, 6834, 476, 2918, 454, 825, 2132, 3009, 454, 2745, 263, 20657, 7973, 2891, 323, 2254, 336, 257, 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 ]
[ 273, 281, 16259, 519, 2725, 1846, 454, 307, 3234, 4430, 3170, 689, 519, 16469, 267, 6028, 930, 2261, 17331, 585, 8137, 543, 5104, 545, 1465, 269, 12338, 519, 14132, 883, 1804, 4773, 267, 827, 476, 273, 6279, 5394, 269, 6215, 823, 519, 20230, 13035, 5979, 514, 883, 1199, 718, 687, 269, 28116, 519, 9269, 6089, 610, 2759, 519, 25427, 338, 883, 4130, 13980, 269, 24143, 519, 8732, 902, 540, 519, 32711, 714, 334, 543, 2849, 322, 8759, 30725, 1137, 25241, 958, 267, 1818, 2386, 711, 547, 2759, 998, 873, 7357, 269, 5590, 782, 519, 16469, 11735, 780, 3721, 476, 274, 281, 12706, 519, 623, 1551, 8759, 610, 9605, 16381, 454, 2252, 1210, 513, 533, 1551, 8759, 630, 326, 18115, 1070, 840, 17742, 621, 547, 5420, 30041, 3002, 269, 1403, 2679, 513, 3595, 8486, 267, 5531, 2614, 3819, 20743, 610, 23315, 547, 1711, 513, 3905, 5127, 540, 900, 1499, 269, 4495, 1396, 267, 1577, 519, 3595, 6633, 1524, 2394, 972, 616, 1100, 811, 26428, 267, 1152, 30437, 1071, 1023, 269, 24619, 856, 519, 1071, 1023, 14961, 543, 1747, 513, 16416, 18172, 593, 1283, 780, 3721, 476, 275, 281, 6182, 650, 519, 590, 9476, 1137, 454, 20278, 519, 32711, 714, 334, 543, 2849, 322, 8759, 30725, 1137, 5196, 519, 1989, 650, 1101, 2094, 789, 1491, 3476, 547, 3434, 269, 13648, 873, 585, 5111, 476, 276, 3764, 829, 2427, 610, 2394, 23182, 536, 27547, 543, 5743, 6853, 269, 17179, 873, 689, 519, 1989, 650, 543, 1305, 873, 11735, 1247, 5986, 519, 824, 16469, 269, 5901, 3636, 676, 8720, 29101, 609, 23240, 780, 3721, 476, 276, 281, 6182, 650, 519, 3816, 8724, 2725, 1846, 454, 11754, 519, 3677, 11912, 540, 5779, 630, 2041, 1030, 543, 20230, 264, 547, 519, 1989, 650, 269, 13648, 873, 585, 827, 476, 275, 268, 276, 3764, 829, 2427, 585, 5420, 268, 571, 516, 1810, 8864, 269, 17797, 5986, 942, 1759, 593, 707, 9053, 1377, 540, 1810, 8864, 269, 18734, 519, 11273, 16469, 547, 513, 726, 2660, 543, 17895, 29101, 609, 23240, 547, 1832, 3636, 269, 8921, 267, 1989, 650, 519, 9269, 4773, 585, 476, 275, 268, 277, 3764, 829, 2427, 610, 2394, 4628, 11273, 269, 9255, 519, 11273, 9269, 593, 519, 1482, 726, 2660, 607, 519, 824, 16469, 780, 3721, 476, 277, 281, 5269, 519, 932, 574, 747, 584, 686, 28397, 576, 454, 4407, 519, 16469, 616, 16889, 267, 1118, 519, 16403, 747, 584, 686, 14036, 269, 28799, 4195, 16163, 2917, 267, 524, 559, 656, 549, 267, 13342, 267, 2699, 9174, 16693, 267, 14462, 3282, 267, 6070, 267, 3109, 14723, 267, 543, 16760, 2699, 14723, 1166, 1389, 630, 604, 1210, 264, 538, 513, 1025, 2658, 610, 1426, 16267, 269, 2349, 754, 2394, 5347, 267, 16150, 532, 1524, 519, 5011, 607, 2877, 269, 570, 4292, 543, 4188, 4005, 532, 952, 2556, 269, 32449, 519, 14036, 883, 513, 1507, 12826, 780, 3721, 476, 278, 281, 31160, 519, 1306, 5964, 454, 20228, 823, 519, 14132, 543, 20230, 1996, 519, 10286, 883, 6094, 21100, 269, 28081, 782, 519, 16469, 593, 513, 1804, 726, 2660, 267, 10483, 676, 519, 3636, 539, 30725, 1137, 269, 667, 686, 14794, 930, 16403, 747, 584, 686, 14036, 936, 519, 16469, 543, 4196, 519, 6967, 14036, 593, 519, 2427, 269, 17949, 707, 8076, 14861, 15687, 607, 5964, 609, 1920, 543, 2828, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4322, 631, 26663, 6980, 689, 6239, 543, 3162, 3013, 616, 3638, 538, 1686, 543, 8137, 563, 3528, 631, 5417, 773, 645, 2033, 454, 5804, 18335, 547, 27816, 267, 1169, 2197, 538, 5824, 3013, 22842, 513, 2442, 8670, 602, 2306, 7188, 619, 9020, 16484, 608, 8010, 2485, 350, 5226, 2946, 678, 3821, 635, 5866, 256, 29393, 543, 1303, 4181, 5423, 609, 7573, 543, 10365, 267, 18717, 543, 28306, 625, 267, 2030, 1622, 543, 844, 29184, 543, 14132, 543, 3165, 3640, 513, 24362, 609, 1169, 11116, 269, 3143, 2339, 519, 17811, 1293, 267, 6712, 2450, 610, 7674, 2511, 267, 891, 5065, 8286, 616, 607, 3638, 538, 1686, 607, 789, 616, 538, 8137, 563, 763, 8670, 281, 1306, 15606, 568, 18335, 779, 4528, 540, 3046, 13069, 826, 269, 1323, 607, 5964, 2356, 5161, 540, 14132, 267, 20230, 267, 9269, 267, 32711, 714, 334, 543, 2849, 322, 8759, 799, 616, 11273, 593, 513, 1989, 650, 267, 1572, 513, 533, 1551, 8759, 267, 610, 606, 1930, 3595, 269, 634, 5779, 568, 3335, 6039, 609, 932, 574, 747, 584, 686, 14036, 563, 763, 1686, 281, 717, 879, 577, 657, 267, 21409, 7504, 5443, 538, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 616, 20295, 609, 713, 5137, 269, 9603, 547, 922, 3668, 540, 8673, 267, 789, 1131, 887, 770, 14132, 936, 3574, 689, 519, 6446, 3630, 11155, 3529, 267, 799, 5795, 519, 5779, 513, 1360, 3638, 8137, 269, 589, 7729, 26833, 4496, 1932, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 6239, 1977, 1299, 3162, 1977, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 769, 519, 7706, 540, 5837, 6138, 267, 1079, 7986, 3506, 540, 2219, 1796, 856, 538, 741, 4485, 547, 5683, 21140, 543, 21520, 910, 26874, 30527, 543, 26874, 4039, 520, 13659, 269, 1452, 6436, 1683, 721, 609, 3982, 14485, 998, 799, 649, 666, 2070, 543, 5659, 2152, 7282, 1434, 543, 9409, 269, 634, 5571, 4655, 538, 12907, 6799, 513, 8903, 4316, 547, 2263, 891, 10952, 5380, 269, 1677, 2253, 267, 1577, 781, 4983, 1312, 26874, 30527, 543, 26874, 4039, 520, 13659, 538, 3152, 3178, 780, 1262, 300, 7394, 30527, 26279, 4263, 922, 4295, 267, 26874, 30527, 29102, 602, 972, 2291, 6662, 5837, 18408, 543, 2418, 4830, 540, 1367, 8369, 610, 2686, 8658, 269, 4340, 547, 713, 3069, 267, 1978, 3527, 616, 20244, 1318, 610, 4636, 1813, 547, 741, 12972, 630, 528, 3765, 7955, 618, 264, 609, 891, 8471, 5837, 5013, 269, 1280, 3236, 267, 12638, 267, 17403, 267, 543, 14084, 1131, 581, 2808, 25432, 4636, 7488, 540, 6848, 8155, 610, 2123, 4978, 269, 901, 5133, 7512, 15984, 547, 513, 5812, 5837, 5943, 2066, 942, 543, 2230, 780, 28274, 26874, 30527, 547, 519, 3510, 538, 12907, 267, 649, 1522, 8044, 602, 6576, 781, 16957, 946, 540, 17049, 12440, 544, 684, 1431, 543, 18532, 13389, 540, 21127, 13822, 2312, 8320, 540, 1799, 528, 1275, 269, 1635, 3423, 908, 3964, 3486, 4031, 2966, 547, 2149, 1875, 18474, 520, 1218, 267, 6576, 6411, 1996, 24080, 7608, 5837, 3741, 269, 9182, 267, 1346, 3743, 585, 971, 1098, 326, 11306, 1058, 3068, 12477, 267, 17923, 519, 2856, 602, 5837, 18408, 16637, 2797, 6302, 543, 608, 3394, 2886, 540, 13137, 780, 1262, 300, 7394, 4039, 520, 13659, 26279, 6944, 337, 3320, 267, 26874, 4039, 520, 13659, 733, 1742, 602, 5837, 21520, 8451, 689, 1367, 5380, 267, 1514, 14908, 267, 610, 3140, 6381, 269, 898, 11363, 519, 1909, 540, 16148, 7664, 538, 8159, 1018, 568, 16363, 31719, 3280, 1369, 1808, 8658, 269, 4935, 267, 896, 713, 3069, 267, 621, 3587, 4101, 547, 6003, 1022, 2962, 607, 11008, 1227, 1412, 2431, 262, 610, 1412, 342, 3994, 10086, 2094, 971, 20241, 554, 16636, 593, 1880, 14604, 540, 4704, 780, 5804, 513, 26874, 4039, 520, 22999, 18879, 267, 12570, 519, 3510, 538, 12907, 1223, 1291, 547, 1114, 8753, 4470, 2390, 519, 7550, 7406, 540, 4704, 269, 1280, 1383, 267, 952, 649, 2015, 519, 23786, 4690, 6117, 6576, 781, 9525, 538, 12907, 267, 835, 949, 7682, 602, 741, 12485, 5447, 609, 3084, 7580, 6859, 1107, 17021, 873, 5732, 1175, 16666, 689, 513, 8887, 643, 2065, 21169, 269, 1717, 267, 950, 6313, 519, 1482, 9183, 3842, 519, 7828, 540, 3486, 1480, 2924, 1876, 267, 519, 3527, 3144, 676, 6739, 4229, 796, 25406, 665, 958, 21556, 4922, 6444, 4441, 540, 2932, 780, 1103, 3932, 267, 2502, 609, 1950, 4207, 7526, 899, 519, 835, 11200, 532, 538, 12907, 2636, 721, 547, 5490, 4514, 883, 519, 14960, 540, 26874, 30527, 543, 26874, 4039, 520, 13659, 269, 2755, 26874, 7464, 1235, 2226, 32344, 19647, 547, 6207, 5837, 18408, 543, 7222, 2272, 3809, 267, 26874, 4039, 520, 643, 1235, 20838, 519, 4644, 540, 32638, 2188, 5935, 938, 5683, 813, 20333, 1023, 269, 1306, 2565, 17024, 267, 14237, 606, 4656, 540, 891, 17804, 16752, 6087, 721, 547, 1935, 10296, 2518, 4145, 609, 8356, 766, 543, 7214, 22759, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21581, 689, 22640, 3767, 454, 257, 308, 330, 1778, 1014, 8387, 616, 934, 6748, 6576, 540, 22867, 2112, 10963, 585, 11318, 21127, 269, 21977, 5518, 5292, 1328, 3240, 337, 2098, 601, 839, 5652, 543, 9167, 3401, 28715, 2592, 540, 4666, 21127, 538, 519, 19109, 643, 1016, 7875, 540, 29246, 320, 267, 1141, 24767, 525, 941, 1336, 16445, 532, 519, 10754, 1310, 6739, 10136, 24013, 4319, 689, 519, 1858, 267, 930, 609, 741, 3946, 3808, 3297, 741, 19758, 269, 2201, 11016, 267, 2549, 333, 17965, 4139, 849, 3370, 513, 1867, 602, 10446, 20240, 6576, 814, 26991, 3486, 1876, 538, 1210, 17049, 12440, 544, 684, 1431, 543, 824, 9604, 602, 967, 4593, 3234, 514, 2299, 6146, 21127, 269, 968, 1432, 779, 1044, 2469, 593, 1282, 519, 3003, 811, 982, 513, 3923, 1631, 540, 4655, 26350, 3978, 7634, 543, 12477, 585, 519, 10419, 21116, 2223, 3081, 11835, 22828, 3057, 10719, 267, 6433, 3210, 8689, 693, 2549, 333, 17965, 4139, 267, 945, 1071, 22052, 23482, 519, 1867, 269, 968, 11693, 713, 29287, 10514, 731, 618, 540, 19742, 16973, 543, 13102, 267, 649, 2461, 10912, 585, 519, 10661, 540, 2922, 19493, 23725, 832, 547, 1450, 21127, 547, 15413, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 7394, 30527, 5288, 269, 26874, 4039, 520, 13659, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 6153, 1299, 5345, 559, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 9533, 16899, 538, 4516, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 7316, 616, 789, 2496, 8334, 281, 1358, 616, 538, 8109, 4516, 543, 1331, 1715, 19839, 1873, 1157, 267, 1715, 11398, 1633, 543, 6997, 30786, 267, 25429, 32108, 267, 543, 13584, 11977, 6816, 780, 7692, 281, 7937, 267, 3579, 256, 2052, 649, 3643, 972, 14693, 2496, 8334, 281, 17610, 256, 898, 1131, 581, 513, 1390, 1747, 547, 2263, 269, 9894, 596, 917, 602, 519, 8225, 2229, 814, 513, 2027, 1982, 1572, 519, 9533, 26790, 15815, 582, 5358, 2496, 7692, 281, 1548, 781, 602, 2496, 8334, 281, 4270, 267, 621, 2337, 12820, 538, 1346, 2185, 16899, 1265, 9952, 4600, 689, 824, 2477, 269, 901, 1259, 267, 4213, 666, 1332, 267, 543, 2950, 1831, 811, 3309, 780, 7692, 281, 2334, 4992, 4277, 256, 1215, 1281, 621, 960, 2496, 8334, 281, 1323, 16108, 9060, 513, 1268, 789, 1616, 547, 16926, 689, 1776, 2197, 267, 543, 952, 519, 11832, 10742, 1978, 4170, 267, 519, 2754, 666, 9930, 3729, 873, 585, 8628, 32031, 780, 7692, 281, 1924, 267, 1004, 1810, 1405, 1175, 1847, 972, 1510, 513, 2816, 267, 1318, 2496, 8334, 281, 22549, 256, 1411, 991, 547, 723, 513, 2816, 2709, 1354, 7311, 269, 1656, 1705, 596, 917, 602, 713, 1982 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 306, 21683, 311, 4532, 270, 318, 291, 560, 311, 4532, 786, 581, 3773, 454, 1729, 519, 2707, 7933, 652, 1588, 2232, 1310, 835, 2262, 814, 1044, 23652, 630, 1492, 561, 338, 321, 568, 454, 531, 1811, 476, 271, 865, 1152, 1256, 1213, 906, 666, 581, 1031, 1040, 9935, 267, 519, 2707, 7933, 525, 8894, 339, 1588, 2232, 786, 581, 1213, 7757, 676, 9041, 306, 21683, 312, 4532, 270, 318, 291, 560, 312, 4532, 1310, 835, 4737, 814, 454, 2041, 523, 23652, 269, 713, 5526, 1360, 3730, 952, 596, 1616, 5299, 513, 476, 3953, 18920, 2647, 838, 1679, 454, 20041, 513, 5496, 609, 476, 17168, 9587, 610, 952, 596, 991, 547, 1025, 527, 476, 273, 3787, 30350, 575, 325, 343, 883, 513, 5496, 454, 5976, 476, 275, 3787, 680, 6951, 585, 3236, 563, 553, 1346, 27861, 616, 9896, 707, 2707, 7933, 652, 1588, 14249, 666, 1256, 581, 1085, 10165, 454, 26238, 519, 1025, 7867, 13333, 2262, 20218, 543, 607, 621, 2115, 547, 581, 2111, 547, 13861, 454, 4226, 15129, 12449, 693, 2899, 1346, 865, 1572, 834, 754, 332, 3696, 257, 616, 1031, 547, 1118, 2386, 454, 6518, 540, 519, 476, 1626, 11353, 540, 513, 10278, 2262, 616, 547, 581, 4957, 269, 519, 1101, 1439, 332, 2532, 454, 262, 318, 17484, 300, 12921, 272, 262, 786, 581, 1031, 585, 519, 1101, 2262, 540, 513, 4737, 547, 581, 9268, 267, 519, 2063, 835, 454, 262, 318, 17484, 300, 12921, 274, 262, 585, 519, 2063, 835, 593, 513, 4737, 267, 6606, 269, 1412, 318, 17484, 300, 12921, 273, 262, 786, 581, 1031, 782, 519, 454, 5503, 538, 1063, 563, 28387, 267, 891, 27861, 666, 581, 3730, 20471, 596, 5299, 513, 2707, 13551, 602, 568, 454, 333, 5535, 518, 982, 707, 10278, 13551, 543, 711, 5116, 593, 513, 476, 1626, 18920, 13988, 454, 323, 652, 1588, 2990, 630, 324, 3052, 269, 952, 596, 22717, 322, 2651, 513, 838, 1679, 936, 519, 5496, 1916, 262, 318, 7749, 262, 6763, 585, 834, 15595, 1111, 821, 5106, 257, 543, 6645, 519, 1025, 7867, 799, 1259, 596, 1616, 519, 454, 1626, 2262, 10300, 1111, 821, 1790, 520, 1181, 267, 799, 949, 581, 1305, 909, 2705, 596, 899, 267, 547, 581, 9268, 563, 11004, 616, 2185, 1502, 7441, 885, 267, 865, 1152, 519, 2539, 476, 273, 11353, 540, 713, 31632, 616, 1031, 912, 876, 630, 271, 264, 910, 1305, 782, 519, 10278, 1532, 1080, 547, 476, 272, 454, 4905, 630, 272, 264, 910, 946, 10300, 1111, 821, 15155, 1152, 454, 1015, 630, 273, 264, 910, 2707, 454, 1556, 630, 274, 264, 910, 2707, 1299, 10300, 1111, 821, 15155, 454, 8145, 1897, 519, 834, 3832, 1087, 4580, 4806, 257, 2877, 585, 519, 16995, 1854, 1815, 565, 528, 31300, 518, 1505, 454, 9188, 8282, 538, 835, 540, 1250, 3105, 18862, 7790, 519, 2063, 5106, 7154, 1522, 581, 1175, 454, 728, 531, 585, 602, 3483, 952, 596, 1305, 909, 713, 3787, 6312, 1181, 3330, 519, 10300, 1111, 821, 15155, 563, 1492, 2539, 562, 756, 1076, 540, 713, 31632, 11578, 6645, 519, 1025, 7867, 875, 519, 2707, 17280, 781, 1239, 2676, 6518, 7654, 3893, 5916, 609, 519, 10300, 1111, 821, 1239, 1354, 267, 543, 519, 10278, 781, 454, 2158, 723, 547, 581, 25401, 5532, 1927, 269, 607, 713, 1871, 568, 513, 562, 756, 1076, 1871, 476, 1626, 886, 1370, 454, 332, 3941, 616, 2009, 267, 540, 1576, 912, 271, 910, 782, 10278, 11353, 815, 476, 271, 454, 272, 910, 10278, 815, 2707, 1299, 10278, 454, 273, 910, 10278, 815, 2707, 1299, 9625, 323, 652, 1588, 454, 274, 910, 10278, 815, 2707, 454, 275, 910, 10278, 815, 9625, 25899, 1299, 10278, 454, 276, 910, 10278, 815, 10278, 454, 277, 910, 10278, 815, 2707, 9745, 10278, 454, 278, 910, 10278, 815, 2707, 1923, 10278, 454, 279, 910, 10278, 815, 9625, 25899, 1299, 9625, 323, 652, 1588, 454, 280, 910, 10278, 815, 9625, 25899, 9745, 10278, 454, 320, 910, 10278, 815, 9625, 323, 652, 1588, 454, 321, 910, 10278, 815, 2707, 1923, 9625, 323, 652, 1588, 454, 322, 910, 10278, 815, 9625, 25899, 454, 323, 910, 10278, 815, 9625, 25899, 1923, 10278, 454, 324, 910, 10278, 815, 9625, 25899, 1923, 9625, 323, 652, 1588, 454, 325, 910, 782, 10278, 11353, 815, 476, 272, 454, 1492, 1034, 1455, 1505, 786, 581, 7154, 476, 274, 630, 323, 652, 1588, 815, 2707, 1040, 12331, 476, 277, 543, 476, 278, 666, 454, 2041, 5363, 1247, 3843, 547, 1711, 11413, 610, 2681, 11544, 2360, 563, 263, 261, 815, 9266, 6730, 267, 9625, 815, 9266, 10691, 267, 1923, 815, 9266, 10758, 267, 9745, 815, 9266, 2473, 3036, 994, 1492, 2063, 1025, 7867, 11578, 568, 8237, 909, 883, 1079, 25466, 799, 11753, 2789, 3252, 563, 6518, 267, 538, 1250, 6644, 267, 2306, 621, 519, 1034, 7294, 835, 10778, 1492, 2539, 476, 275, 11353, 540, 519, 5580, 31632, 18121, 742, 742, 279, 320, 274, 322, 264, 540, 713, 11578, 3313, 799, 540, 454, 1492, 476, 1626, 3515, 540, 519, 10300, 1111, 821, 15155, 786, 581, 1031, 585, 519, 4737, 4867, 1373, 1025, 26860, 563, 1492, 1871, 786, 581, 1213, 7757, 610, 3526, 7757, 4470, 593, 519, 1129, 540, 834, 318, 291, 560, 312, 18823, 4840, 12898, 835, 4737, 729, 1025, 26860, 543, 16833, 1472, 1169, 476, 1626, 2053, 563, 553, 4166, 607, 519, 865, 1572, 834, 15551, 11070, 12283, 257, 9206, 630, 4226, 476, 276, 264, 540, 713, 31632, 568, 1305, 519, 1699, 3368, 8894, 339, 821, 4737, 786, 581, 6074, 2687, 547, 519, 476, 275, 2547, 1713, 11353, 540, 519, 2707, 2262, 454, 327, 3058, 1044, 23652, 267, 3079, 910, 607, 5018, 713, 568, 519, 1152, 834, 785, 1311, 5466, 454, 332, 1712, 257, 1634, 547, 519, 1025, 7867, 563, 604, 3787, 476, 277, 9497, 295, 8104, 257, 3787, 264, 568, 23498, 519, 1668, 786, 581, 3838, 676, 519, 524, 30298, 543, 519, 1025, 7867, 454, 323, 1005, 519, 1025, 527, 910, 789, 3513, 14595, 1169, 476, 5038, 1668, 31260, 269, 952, 596, 7500, 519, 1025, 7867, 538, 454, 10472, 865, 1572, 670, 8104, 7154, 6382, 267, 519, 1668, 786, 581, 19526, 2394, 519, 1025, 527, 568, 936, 269, 538, 454, 10472, 2013, 596, 1058, 581, 6297, 267, 1498, 1317, 540, 519, 6044, 4776, 21255, 829, 8894, 11526, 676, 476, 27151, 343, 271, 524, 16476, 799, 1797, 602, 519, 1985, 6044, 568, 2608, 2254, 265, 16798, 454, 1729, 581, 13401, 1175, 1310, 519, 1025, 7867, 568, 2944, 563, 1729, 2327, 713, 596, 3513, 723, 547, 2638, 3787, 476, 278, 9497, 289, 4785, 312, 257, 9206, 264, 799, 786, 581, 1305, 607, 1279, 454, 553, 519, 1025, 7867, 568, 3742, 269, 2965, 267, 4259, 519, 645, 4785, 312, 3787, 786, 581, 519, 2063, 2962, 2877, 454, 514, 1931, 547, 1376, 519, 13863, 1310, 3388, 3116, 814, 581, 3355, 2213, 563, 1492, 1985, 31632, 11578, 18121, 742, 742, 279, 320, 274, 323, 264, 1770, 525, 3388, 2877, 585, 22717, 322, 13764, 707, 454, 25899, 1239, 799, 540, 1576, 568, 6913, 676, 13346, 873, 269, 519, 1297, 540, 1318, 10593, 454, 1952, 29736, 593, 519, 2707, 1913, 568, 5462, 676, 519, 2539, 562, 756, 1076, 540, 713, 11578, 1572, 454, 28494, 298, 11246, 2668, 5225, 581, 2264, 602, 713, 568, 1152, 5497, 585, 13346, 934, 1484, 835, 7077, 803, 320, 8894, 940, 602, 607, 4166, 607, 596, 616, 2469, 547, 7729, 342, 2789, 7077, 575, 325, 343, 596, 786, 723, 547, 946, 513, 454, 20123, 760, 817, 1025, 527, 267, 6923, 563, 11004, 616, 1079, 3606, 17514, 602, 949, 581, 2877, 547, 2995, 519, 1025, 7867, 875, 519, 2253, 8894, 940, 543, 519, 1439, 540, 513, 2707, 1899, 723, 547, 581, 1224, 269, 4470, 593, 519, 7729, 342, 1871, 543, 454, 517, 519, 12972, 540, 707, 10278, 10465, 621, 949, 581, 2556, 547, 1224, 606, 3063, 454, 25899, 2262, 693, 519, 4098, 540, 513, 4737, 910, 713, 666, 581, 6913, 676, 4259, 3787, 476, 278, 9497, 293, 311, 17876, 4840, 6518, 1797, 3196, 3063, 2707, 1224, 264, 540, 713, 11578, 563, 517, 519, 824, 1688, 519, 2063, 2262, 593, 513, 4737, 666, 581, 1236, 5792, 3006, 4470, 593, 454, 1492, 1482, 2188, 607, 1657, 910, 713, 942, 596, 9364, 991, 547, 1305, 3787, 476, 277, 9497, 301, 12396, 305, 257, 2495, 1100, 454, 325, 1400, 2707, 1224, 264, 540, 1269, 742, 742, 279, 320, 274, 323, 563, 5503, 547, 3308, 1047, 1586, 267, 1775, 7058, 2433, 1040, 538, 519, 1739, 3009, 1383, 1775, 786, 2119, 1397, 596, 875, 547, 1305, 909, 454, 1492, 1025, 7867, 27861, 538, 1931, 547, 5299, 513, 835, 7077, 2707, 13551, 540, 476, 5038, 1535, 476, 5038, 19641, 883, 519, 1647, 454, 1993, 513, 476, 275, 3787, 30350, 1970, 637, 5496, 630, 17168, 1535, 476, 1220, 264, 585, 3236, 269, 713, 2707, 3096, 606, 4824, 630, 534, 11924, 14764, 540, 454, 1492, 1025, 7867, 27861, 5018, 4505, 912, 282, 3689, 11578, 2877, 676, 721, 454, 282, 3503, 9041, 306, 21683, 311, 4532, 630, 272, 264, 543, 9041, 306, 21683, 312, 4532, 630, 271, 264, 693, 2899, 454, 282, 5590, 782, 519, 1439, 332, 3696, 547, 1269, 742, 742, 454, 282, 607, 938, 10278, 3787, 7615, 6238, 454, 282, 693, 513, 2262, 10465, 454, 282, 9041, 291, 560, 311, 4532, 815, 476, 279, 267, 18178, 476, 275, 3787, 680, 6951, 1310, 1142, 2262, 454, 282, 9041, 291, 560, 312, 4532, 815, 1269, 3199, 267, 18178, 476, 12553, 630, 8182, 268, 279, 265, 5038, 270, 1626, 264, 25466, 1142, 4737, 454, 282, 4741, 10278, 13551, 454, 282, 630, 11820, 4510, 815, 476, 8182, 16732, 1911, 268, 3953, 11924, 263, 3199, 268, 1626, 264, 261, 268, 279, 994, 282, 9041, 311, 15575, 815, 476, 276, 267, 1775, 4318, 269, 5299, 476, 275, 1913, 1142, 4737, 454, 282, 9041, 312, 15575, 815, 1269, 2412, 267, 5299, 476, 5038, 9343, 454, 282, 9041, 7749, 2433, 2707, 1152, 630, 273, 994, 282, 9041, 641, 2433, 10278, 815, 2707, 630, 274, 994, 282, 1546, 716, 10675, 670, 8104, 2173, 1712, 454, 282, 3143, 2707, 7729, 342, 454, 282, 22084, 344, 3787, 454, 282, 3399, 519, 1025, 7867, 454, 282, 19244, 607, 1279, 607, 519, 1025, 7867, 568, 3742, 454, 1492, 2063, 8520, 2115, 3787, 540, 606, 2491, 566, 267, 1775, 15475, 267, 607, 621, 3085, 1405, 3100, 547, 1118, 602, 1454, 2631, 693, 519, 454, 14140, 2070, 269, 19037, 267, 621, 781, 2653, 912, 553, 519, 1025, 7867, 3085, 1405, 554, 690, 519, 1668, 630, 4226, 476, 277, 540, 9041, 18118, 19617, 815, 476, 271, 264, 855, 8843, 621, 609, 519, 524, 30298, 676, 476, 5038, 9979, 1142, 2676, 30524, 333, 1405, 621, 581, 1390, 547, 1577, 519, 524, 30298, 1287, 1685, 1945, 3730, 693, 519, 942, 540, 922, 476, 5038, 9979, 3079, 540, 454, 573, 548, 532, 543, 23646, 1524, 519, 1025, 527, 7790, 554, 7825, 332, 267, 9493, 1695, 1390, 855, 1282, 602, 8520, 621, 3085, 1405, 798, 4376, 855, 7836, 454, 16341, 9219, 31260, 547, 1964, 691, 519, 1025, 7867, 1318, 2476, 267, 596, 1522, 2161, 269, 1134, 267, 621, 1281, 910, 855, 1810, 1405, 7340, 602, 454, 11004, 616, 14443, 338, 910, 607, 1279, 607, 519, 1025, 7867, 3788, 538, 554, 690, 7154, 267, 14443, 338, 1058, 581, 16981, 1282, 519, 454, 4565, 527, 269, 1210, 621, 609, 713, 8945, 267, 693, 2547, 1346, 14443, 338, 949, 581, 4625, 3742, 1510, 20427, 23646, 454, 6658, 519, 1025, 9231, 3491, 947, 269, 536, 13512, 281, 713, 4480, 7902, 4998, 585, 519, 954, 331, 864, 512, 338, 337, 454, 328, 27573, 585, 631, 9298, 5254, 338, 563, 325, 3373, 267, 952, 596, 9364, 1869, 899, 547, 1451, 930, 811, 827, 4359, 4238, 596, 1223, 581, 5461, 538, 2921, 693, 454, 19972, 693, 513, 2370, 1025, 7867, 1383, 1606, 10547, 1775, 23553, 585, 4010, 519, 1482, 3483, 2433, 1916, 268, 476, 1220, 273, 18422, 2260, 269, 1206, 764, 269, 910, 0, 2304, 3447, 1807, 779, 590, 4869, 344, 6874, 6851, 3687, 1393, 14506, 6651, 1677, 16473, 8210, 2084, 519, 11778, 540, 2659, 16505, 454, 294, 4599, 707, 21641, 543, 1577, 779, 2992, 563, 5575, 26062, 3687, 2373, 281, 26875, 1125, 2659, 13405, 885, 454, 1432, 616, 707, 14422, 888, 1432, 1919, 616, 2921, 2476, 689, 707, 14422, 888, 1432, 3527, 786, 596, 1376, 270, 17380, 270, 11666, 826, 547, 948, 596, 5447, 707, 960, 609, 707, 14422, 888, 8855, 281, 519, 19829, 568, 513, 2898, 1268, 269, 898, 779, 2556, 547, 723, 707, 1134, 5630, 267, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2764, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 3299, 1412, 271, 269, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3066, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3066, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3066, 912, 2018, 1582, 27863, 3488, 271, 269, 4366, 273, 4037, 279, 30663, 6924, 280, 277, 4649, 15094, 31979, 8064, 274, 9818, 275, 3299, 1412, 271, 269, 4366, 273, 4037, 279, 30663, 6924, 280, 277, 4649, 15094, 31979, 8064, 274, 9818, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 1789, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 1789, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 1789, 912, 2018, 1582, 27863, 3488, 271, 269, 5379, 277, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 3299, 1412, 271, 269, 5379, 277, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4029, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4029, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4029, 912, 2018, 1582, 27863, 3488, 271, 269, 26493, 277, 1321, 3445, 274, 18597, 3199, 277, 26493, 277, 1321, 3445, 274, 18597, 279, 3299, 1412, 271, 269, 26493, 277, 1321, 3445, 274, 18597, 3199, 277, 26493, 277, 1321, 3445, 274, 18597, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3953, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3953, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3953, 912, 2018, 1582, 27863, 3488, 271, 269, 275, 4391, 276, 3299, 1412, 271, 269, 275, 4391, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3451, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3451, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3451, 912, 2018, 1582, 27863, 3488, 271, 269, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 273, 3299, 1412, 271, 269, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4097, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4097, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4097, 912, 2018, 1582, 27863, 3488, 271, 269, 30329, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 6078, 12293, 30420, 276, 6434, 273, 3299, 1412, 271, 269, 30329, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 6078, 12293, 30420, 276, 6434, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3374, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3374, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3374, 912, 2018, 1582, 27863, 3488, 271, 269, 275, 3299, 1412, 271, 269, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3607, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3607, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3607, 912, 2018, 1582, 27863, 3488, 271, 269, 4343, 279, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 280, 3299, 1412, 271, 269, 4343, 279, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 280, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4391, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4391, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4391, 912, 2018, 1582, 27863, 3488, 271, 269, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 275, 3299, 1412, 271, 269, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4343, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4343, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4343, 912, 2018, 1582, 27863, 3488, 271, 269, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 32180, 277, 3299, 1412, 271, 269, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 32180, 277, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4375, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4375, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4375, 912, 2018, 1582, 27863, 3488, 271, 269, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 280, 271, 3299, 1412, 271, 269, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 280, 271, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 2412, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 2412, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2412, 912, 2018, 1582, 27863, 3488, 271, 269, 3374, 3299, 1412, 271, 269, 3374, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 6078, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6078, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6078, 912, 2018, 1582, 27863, 3488, 271, 269, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 272, 3299, 1412, 271, 269, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 5655, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 5655, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 5655, 912, 2018, 1582, 27863, 3488, 271, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 274, 3299, 1412, 271, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 274, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 6246, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6246, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6246, 912, 2018, 1582, 27863, 3488, 271, 269, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 275, 3299, 1412, 271, 269, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4510, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4510, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4510, 912, 2018, 1582, 27863, 3488, 271, 269, 28760, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 273, 3299, 1412, 271, 269, 28760, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3393, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3393, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3393, 912, 2018, 1582, 27863, 3488, 271, 269, 25313, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 272, 3299, 1412, 271, 269, 25313, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 5379, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 5379, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 5379, 912, 2018, 1582, 27863, 3488, 271, 269, 19054, 31003, 279, 2918, 5400, 277, 4817, 277, 276, 2641, 278, 4375, 9873, 275, 4097, 279, 3299, 1412, 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 ]
[ 269, 2311, 713, 1448, 2783, 589, 5157, 268, 272, 316, 10922, 645, 14728, 316, 568, 7301, 269, 901, 1797, 267, 649, 8359, 1775, 1932, 2462, 543, 8754, 649, 6175, 2039, 11489, 1775, 268, 272, 799, 1631, 476, 274, 780, 6124, 1775, 543, 795, 616, 3254, 2630, 269, 16448, 589, 5157, 268, 272, 316, 10922, 645, 14728, 316, 543, 645, 14728, 268, 272, 316, 10922, 589, 14728, 316, 568, 3020, 269, 17776, 1295, 10490, 5157, 3910, 645, 14728, 8079, 607, 737, 628, 10545, 3693, 799, 568, 476, 277, 780, 1012, 8943, 547, 1265, 918, 628, 10545, 3693, 538, 1079, 15044, 14249, 692, 3499, 17569, 720, 635, 2593, 11952, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 866, 269, 275, 269, 1240, 563, 265, 13045, 21504, 1362, 918, 628, 22102, 652, 292, 2211, 2715, 692, 21504, 11979, 5595, 1265, 298, 628, 22102, 652, 292, 2211, 17301, 26514, 589, 267, 703, 26514, 645, 267, 703, 737, 264, 346, 692, 842, 26514, 10917, 16963, 842, 7003, 288, 815, 589, 32324, 3248, 842, 7003, 289, 815, 645, 32324, 16963, 604, 12759, 288, 1341, 7003, 289, 2999, 737, 264, 2132, 910, 272, 16963, 842, 1775, 14737, 815, 476, 271, 3248, 842, 1775, 16655, 815, 6715, 518, 269, 2381, 10490, 32324, 267, 737, 268, 272, 32007, 842, 1775, 815, 476, 271, 3248, 842, 795, 815, 476, 271, 16963, 6112, 630, 328, 14737, 10922, 1775, 16655, 264, 13634, 328, 815, 630, 328, 14737, 1341, 1775, 16655, 264, 1315, 476, 273, 3248, 329, 815, 737, 910, 476, 272, 910, 1775, 282, 12262, 1317, 540, 4642, 1759, 4994, 454, 604, 630, 289, 14728, 910, 476, 272, 316, 3436, 589, 5157, 8079, 13634, 2260, 1775, 568, 1932, 1507, 267, 1590, 2333, 621, 454, 328, 14737, 815, 1775, 1341, 476, 272, 3248, 348, 3116, 952, 630, 328, 3436, 476, 271, 30974, 589, 5157, 910, 476, 272, 316, 3436, 645, 14728, 8079, 13634, 2260, 1775, 568, 1932, 2462, 267, 1590, 6175, 621, 454, 328, 16655, 815, 1775, 910, 476, 272, 3248, 348, 3116, 13634, 2260, 1775, 568, 3501, 454, 8873, 6715, 518, 269, 2381, 10490, 5157, 3910, 645, 14728, 8079, 3248, 8679, 8679, 8873, 910, 272, 3248, 10926, 21504, 11979, 20704, 1292, 263, 21803, 26514, 26571, 264, 19127, 842, 26514, 513, 815, 2715, 272, 267, 274, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1556, 348, 3248, 842, 26514, 536, 815, 2715, 272, 267, 275, 267, 277, 267, 279, 267, 1321, 267, 1691, 267, 1428, 267, 1704, 348, 16963, 29602, 10545, 815, 1265, 298, 628, 22102, 652, 292, 2211, 5416, 14720, 267, 476, 280, 11850, 21902, 269, 719, 31428, 15238, 2891, 298, 628, 10545, 3693, 568, 2433, 834, 1341, 10545, 11850, 8679, 10926, 7884, 4467, 14658, 640, 540, 5690, 547, 1265, 918, 628, 10545, 3693, 538, 9769, 540, 1079, 14249, 568, 744, 263, 8421, 18217, 266, 300, 4297, 780, 8923, 2671, 952, 972, 568, 1945, 4636, 610, 7508, 269, 649, 1131, 581, 19914, 547, 5873, 689, 596, 269, 1403, 596, 616, 8600, 585, 606, 5967, 543, 1616, 547, 1174, 875, 547, 1935, 621, 267, 5225, 1433, 513, 1863, 18006, 8400, 780, 1012, 4427, 6783, 609, 2040, 4642, 692, 11693, 606, 5044, 540, 2318, 543, 2942, 9981, 267, 1265, 513, 1016, 6783, 609, 2040, 4642, 538, 602, 5044, 269, 1280, 1383, 267, 538, 519, 5044, 2016, 2630, 267, 972, 616, 1079, 1016, 541, 7590, 4171, 2609, 2040, 547, 4642, 780, 27778, 1393, 3196, 1505, 547, 1265, 1016, 6783, 609, 2040, 4642, 786, 581, 547, 1265, 782, 1016, 268, 541, 7590, 540, 519, 5044, 543, 1287, 1039, 873, 14350, 547, 1294, 952, 1022, 1016, 6783, 8591, 909, 547, 4642, 269, 1703, 666, 581, 2387, 333, 2608, 630, 333, 268, 272, 23375, 1016, 541, 7590, 585, 513, 2016, 5044, 540, 2450, 562, 267, 865, 519, 6988, 540, 1490, 1393, 3196, 3070, 568, 2387, 302, 3799, 273, 23375, 780, 3499, 17569, 720, 635, 2593, 11952, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 3248, 5814, 28162, 269, 583, 559, 13034, 1662, 24961, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 274, 269, 1321, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 313, 3266, 11764, 13634, 21504, 703, 32582, 1265, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 17301, 26514, 513, 264, 19127, 842, 7003, 815, 513, 32324, 16963, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 842, 476, 2040, 476, 815, 476, 271, 3248, 1721, 17301, 795, 284, 328, 282, 795, 283, 6352, 282, 795, 10030, 264, 19127, 8999, 6834, 513, 14728, 30092, 604, 4433, 636, 2652, 476, 271, 264, 19127, 8873, 1488, 7590, 6983, 4878, 8170, 305, 1052, 5416, 267, 328, 25814, 266, 272, 11850, 8679, 8679, 8679, 8873, 1007, 703, 314, 271, 30092, 8679, 8679, 7884, 2971, 4530, 2665, 692, 3499, 17569, 720, 1449, 16963, 5814, 635, 2593, 11952, 2529, 889, 6783, 4415, 313, 3266, 11764, 3248, 5814, 610, 326, 12459, 22780, 12459, 17132, 269, 777, 328, 11053, 652, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 16963, 5814, 11979, 610, 326, 12459, 22780, 6993, 1087, 1068, 20596, 13420, 1023, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 2537, 269, 280, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 11764, 313, 3266, 14818, 2715, 692, 8138, 6783, 4415, 313, 3266, 11764, 512, 6856, 815, 1007, 4427, 6783, 4415, 313, 3266, 11764, 3890, 16963, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 27778, 1393, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 268, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5591, 8138, 26161, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 273, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 15079, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 27778, 1393, 3080, 292, 2211, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 476, 271, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 271, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5416, 4297, 11850, 8679, 8679, 7884, 2162, 4855, 1016, 6783, 609, 2040, 4642, 281, 4555, 692, 288, 1016, 6783, 568, 513, 733, 27631, 851, 540, 606, 5044, 269, 2913, 779, 2161, 649, 1265, 519, 2040, 540, 1016, 6783, 4358, 693, 476, 271, 543, 10678, 693, 1022, 4994, 1775, 269, 1924, 267, 570, 5157, 316, 4564, 519, 2040, 540, 1016, 6783, 589, 314, 271, 907, 328, 316, 780, 1432, 952, 649, 723, 1079, 17523, 1775, 543, 795, 282, 971, 602, 2387, 328, 283, 795, 319, 543, 2387, 307, 5157, 316, 815, 570, 14728, 316, 18269, 769, 713, 2013, 267, 782, 519, 2609, 799, 616, 1063, 4994, 1775, 543, 4994, 795, 1039, 909, 547, 4642, 543, 602, 568, 938, 1016, 6783, 609, 2040, 4642, 563, 21920, 540, 1016, 6783, 609, 2040, 4642, 786, 581, 795, 25829, 266, 272, 780, 2971, 23840, 692, 3499, 17569, 720, 635, 2593, 11952, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 3248, 5814, 28162, 269, 583, 559, 13034, 1662, 24961, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 274, 269, 1321, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 313, 3266, 11764, 13634, 21504, 703, 32582, 1265, 8138, 6783, 4415, 313, 3266, 11764, 17301, 26514, 513, 264, 346, 692, 842, 7003, 815, 513, 32324, 16963, 842, 32582, 570, 815, 1007, 703, 314, 6352, 316, 16963, 307, 314, 271, 316, 815, 513, 314, 271, 30092, 1721, 17301, 1775, 284, 272, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 307, 5157, 316, 815, 570, 5157, 268, 272, 316, 1341, 513, 5157, 30092, 10926, 2260, 4467, 14658, 640, 540, 2630, 3009, 568, 744, 3799, 317, 273, 2020, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 1721, 17301, 795, 284, 328, 266, 272, 282, 795, 283, 6352, 282, 795, 10030, 264, 19127, 604, 24867, 5157, 316, 2525, 570, 14728, 8079, 19127, 8873, 1488, 7590, 6983, 4878, 8170, 305, 1052, 5416, 267, 1775, 266, 272, 267, 795, 266, 272, 11850, 8679, 8679, 8679, 8873, 1007, 703, 314, 271, 30092, 8679, 8679, 7884, 2971, 4530, 2665, 692, 3499, 17569, 720, 1449, 16963, 5814, 635, 2593, 11952, 2529, 889, 6783, 4415, 313, 3266, 11764, 3248, 5814, 610, 326, 12459, 22780, 12459, 17132, 269, 777, 328, 11053, 652, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 16963, 5814, 11979, 610, 326, 12459, 22780, 6993, 1087, 1068, 20596, 13420, 1023, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 2537, 269, 280, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 11764, 313, 3266, 14818, 2715, 692, 8138, 6783, 4415, 313, 3266, 11764, 512, 6856, 815, 1007, 4427, 6783, 4415, 313, 3266, 11764, 3890, 16963, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 268, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 5591, 8138, 26161, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 273, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 15079, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 3080, 292, 2211, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 476, 271, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 271, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 5416, 4297, 11850, 8679, 7884, 763, 6988, 540, 519, 5690, 547, 1265, 513, 1016, 6783, 609, 4642, 2040, 538, 513, 2016, 5044, 540, 9981, 568, 2387, 302, 3799, 273, 23375, 609, 606, 3606, 2230, 6988, 540, 2387, 302, 3799, 23375, 547, 4558, 2040, 11489, 4994, 1775, 780, 2171, 666, 11126, 621, 2417, 676, 2870, 513, 19474, 540, 782, 519, 18304, 799, 649, 1294, 1247, 4946, 269, 1879, 649, 1039, 519, 4994, 1775, 547, 2907, 7229, 2040, 11489, 4994, 1775, 268, 272, 267, 649, 2638, 952, 519, 1007, 2040, 568, 4642, 286, 1403, 9811, 267, 1287, 1016, 6783, 689, 476, 271, 547, 4994, 1775, 1039, 909, 547, 4642, 269, 1403, 972, 568, 2907, 513, 2040, 1459, 799, 568, 3160, 547, 519, 1699, 2040, 1287, 972, 568, 1016, 6783, 609, 2040, 1109, 14706, 1063, 4994, 950, 649, 4718, 519, 2040, 2063, 543, 1699, 4994, 780, 3499, 17569, 720, 635, 2593, 11952, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 3248, 5814, 28162, 269, 583, 559, 13034, 1662, 24961, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 274, 269, 1321, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 313, 3266, 11764, 2715, 692, 21504, 703, 32582, 1265, 8138, 6783, 4415, 313, 3266, 11764, 18893, 574, 1242, 17301, 26514, 513, 264, 346, 692, 842, 7003, 815, 513, 32324, 16963, 295, 1662, 24961, 283, 18204, 518, 267, 6715, 518, 285, 570, 815, 1007, 25300, 24961, 283, 18204, 518, 267, 6715, 518, 285, 3890, 16963, 842, 2040, 476, 815, 476, 271, 476, 3248, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 8999, 476, 6834, 513, 5157, 30092, 604, 24867, 10947 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3194, 563, 8649, 5074, 13028, 625, 538, 19978, 26337, 454, 26123, 2494, 11245, 338, 267, 25927, 725, 267, 543, 31157, 454, 9349, 1299, 11473, 17352, 454, 3519, 26810, 540, 2052, 22528, 896, 26056, 1299, 519, 769, 4003, 540, 519, 11270, 540, 519, 7225, 2471, 476, 9610, 277, 268, 15389, 272, 7460, 454, 14707, 3101, 585, 18266, 7641, 454, 763, 667, 22866, 3933, 8944, 540, 5840, 1299, 28311, 476, 280, 3953, 268, 6812, 278, 7460, 454, 763, 31519, 1299, 8187, 15227, 654, 6387, 902, 896, 15584, 476, 13893, 277, 268, 9610, 277, 7460, 454, 14503, 797, 540, 25424, 1309, 269, 476, 20065, 271, 7460, 454, 29994, 538, 519, 16527, 540, 519, 7225, 2471, 476, 15389, 272, 268, 10441, 280, 7460, 454, 763, 2136, 3933, 8944, 476, 10441, 280, 268, 280, 3953, 7460, 454, 763, 1715, 11620, 16527, 476, 1839, 268, 1911, 5084, 454, 15031, 686, 1105, 531, 16527, 476, 21327, 277, 268, 6942, 277, 7460, 454, 11900, 2074, 547, 14568, 6426, 5530, 454, 1432, 568, 19978, 26337, 888, 10144, 267, 23089, 267, 543, 12085, 538, 519, 1715, 11620, 454, 10144, 267, 23089, 267, 543, 12085, 538, 519, 12355, 6426, 454, 23220, 2213, 8092, 4144, 2456, 454, 19425, 3538, 675, 543, 23113, 538, 519, 6426, 454, 26123, 14033, 8109, 5525, 454, 763, 1744, 9613, 540, 5695, 514, 454, 763, 12253, 476, 280, 281, 2190, 268, 2767, 5741, 454, 298, 327, 597, 321, 564, 1714, 5336, 26698, 520, 597, 19196, 822, 566, 476, 1960, 276, 268, 1220, 271, 1299, 476, 1220, 279, 268, 1001, 277, 454, 289, 10041, 29576, 543, 519, 11657, 776, 29138, 454, 290, 516, 566, 1299, 7216, 2494, 1309, 269, 476, 20862, 271, 7460, 454, 3383, 30394, 333, 540, 5840, 538, 5527, 476, 6942, 277, 268, 13893, 277, 7460, 454, 763, 20770, 1014, 1401, 850, 1299, 519, 14655, 11270, 476, 6812, 278, 268, 31172, 7460, 454, 763, 3955, 11687, 4442, 11270, 476, 6110, 7460, 268, 1839, 5084, 454, 763, 4793, 337, 2065, 16527, 476, 1911, 268, 14596, 5084, 454, 6635, 330, 540, 519, 595, 19879, 454, 763, 5020, 1299, 12080, 540, 519, 7083, 4906, 2441, 1299, 519, 24347, 956, 476, 2918, 268, 4200, 5084, 454, 307, 718, 1714, 6953, 2459, 600, 12197, 18614, 454, 10870, 1231, 540, 519, 9147, 2622, 454, 298, 327, 597, 321, 564, 1714, 5336, 26698, 520, 597, 3194, 15080, 454, 10387, 10132, 12358, 23790, 267, 519, 1582, 3491, 13094, 1412, 299, 867, 543, 2696, 262, 543, 678, 3578, 1652, 9598, 1807, 267, 556, 11220, 689, 5084, 476, 10037, 547, 476, 9834, 269, 1261, 729, 519, 5067, 540, 14890, 26751, 335, 22057, 543, 519, 7015, 540, 570, 7978, 267, 519, 20630, 832, 540, 13243, 538, 5084, 476, 3583, 269, 17623, 538, 1272, 267, 12358, 23790, 1831, 1360, 22530, 25875, 269, 769, 1249, 267, 593, 519, 1554, 1354, 646, 729, 23689, 563, 1607, 2376, 729, 1101, 3370, 538, 519, 11354, 476, 1960, 280, 3390, 540, 6426, 543, 1975, 1228, 563, 10387, 10132, 12358, 23790, 267, 519, 1582, 3491, 13094, 968, 299, 867, 543, 2696, 892, 543, 678, 3578, 1652, 9598, 1807, 267, 556, 11220, 689, 5084, 476, 10037, 547, 476, 9834, 269, 1261, 729, 519, 5067, 540, 14890, 26751, 335, 22057, 543, 519, 7015, 540, 570, 7978, 267, 519, 20630, 832, 540, 13243, 538, 5084, 476, 3583, 269, 17623, 538, 1272, 267, 12358, 23790, 1831, 1360, 22530, 25875, 269, 769, 1249, 267, 593, 519, 1554, 1354, 646, 729, 23689, 267, 646, 31570, 606, 4230, 6331, 518, 269, 4438, 713, 942, 646, 849, 31570, 21011, 267, 519, 5601, 540, 2575, 543, 6965, 267, 607, 1134, 607, 1769, 267, 5168, 543, 28897, 256, 2155, 13579, 908, 1010, 22530, 819, 267, 519, 17169, 20511, 539, 11113, 18995, 21011, 593, 835, 2427, 543, 513, 986, 1597, 267, 2404, 609, 28897, 267, 593, 519, 824, 630, 297, 2158, 476, 2735, 280, 281, 476, 29214, 1916, 763, 606, 857, 757, 5156, 513, 6177, 779, 8184, 1223, 2062, 339, 749, 519, 2104, 630, 298, 534, 6308, 476, 3192, 274, 1700, 3192, 275, 281, 476, 5325, 264, 543, 12358, 23790, 6743, 547, 519, 986, 1597, 547, 2062, 339, 749, 1010, 7525, 2104, 269, 11635, 1227, 267, 2672, 17662, 3780, 267, 513, 4936, 14787, 543, 6845, 1807, 267, 5638, 267, 968, 288, 1906, 3275, 1354, 646, 630, 291, 558, 23790, 264, 729, 7166, 267, 513, 986, 1597, 829, 3481, 593, 519, 13317, 1756, 543, 524, 3072, 267, 2048, 5472, 786, 581, 1134, 16224, 606, 522, 5443, 799, 930, 14648, 607, 5205, 281, 1547, 1547, 1547, 513, 986, 1597, 1547, 1547, 1547, 1223, 711, 2161, 267, 2048, 2005, 568, 1134, 16224, 1152, 10294, 2048, 2005, 786, 581, 1134, 685, 2108, 630, 305, 6504, 324, 476, 1960, 273, 281, 476, 4343, 276, 1040, 14890, 12358, 23790, 5747, 4166, 1310, 543, 782, 729, 1134, 2336, 763, 24347, 548, 3627, 267, 608, 6150, 547, 519, 6532, 540, 4793, 21573, 827, 5084, 476, 4817, 267, 4607, 513, 811, 2386, 2262, 540, 28897, 269, 3502, 689, 513, 986, 1597, 610, 21011, 267, 855, 689, 519, 7083, 4906, 2441, 13924, 1345, 269, 634, 3883, 540, 31694, 5956, 267, 968, 763, 31694, 540, 4906, 2441, 267, 799, 2696, 5795, 13924, 547, 1397, 3571, 22063, 1765, 628, 902, 799, 1590, 16172, 1491, 1747, 892, 630, 305, 341, 476, 272, 281, 272, 1040, 1261, 4422, 593, 547, 2161, 267, 968, 289, 1652, 539, 568, 646, 945, 14509, 543, 1346, 945, 5873, 519, 1913, 540, 713, 28897, 267, 543, 1832, 1346, 1919, 799, 616, 2854, 538, 621, 267, 585, 519, 942, 568, 2282, 892, 630, 305, 341, 476, 272, 281, 274, 1916, 10387, 10132, 12358, 23790, 20511, 539, 11113, 609, 519, 2212, 540, 21011, 267, 630, 2431, 264, 543, 519, 986, 1597, 630, 3847, 1040, 1261, 31570, 21011, 267, 4936, 5601, 540, 2575, 267, 6965, 267, 1769, 267, 5168, 543, 28897, 267, 585, 1702, 540, 519, 2104, 269, 3493, 1112, 539, 607, 513, 3946, 727, 1762, 812, 267, 21011, 729, 849, 4857, 609, 4477, 3930, 267, 519, 5259, 3141, 3766, 617, 269, 14890, 12358, 23790, 31570, 519, 986, 1597, 1317, 922, 8184, 4806, 729, 5156, 547, 3589, 519, 2104, 269, 10271, 723, 513, 968, 3467, 2386, 2262, 540, 28897, 3034, 763, 3883, 540, 31694, 568, 513, 15393, 6193, 1996, 14890, 12358, 23790, 543, 519, 4936, 1158, 269, 2755, 12358, 23790, 6743, 547, 21011, 543, 519, 986, 1597, 547, 2062, 339, 749, 519, 7525, 2104, 267, 519, 9631, 23036, 2615, 7083, 4906, 2441, 267, 28222, 3152, 982, 12358, 23790, 267, 7000, 519, 2104, 540, 519, 1158, 538, 713, 1433, 269, 1261, 25009, 3627, 547, 912, 31095, 519, 1919, 799, 596, 723, 2938, 1496, 1492, 5075, 540, 519, 1350, 528, 1881, 12312, 540, 2494, 1765, 305, 341, 476, 272, 3910, 543, 519, 1919, 799, 616, 1496, 1492, 3510, 540, 519, 5722, 13039, 538, 5607, 19724, 693, 519, 1439, 540, 519, 1101, 2540, 5084, 1765, 305, 341, 476, 273, 1700, 274, 3910, 543, 519, 1919, 799, 786, 1491, 1747, 1310, 713, 1496, 718, 519, 2104, 2621, 6592, 538, 681, 341, 476, 275, 1700, 2420, 316, 630, 272, 281, 280, 1916, 1607, 2376, 786, 4983, 1896, 3344, 540, 12358, 23790, 779, 12081, 543, 3627, 779, 24815, 547, 4793, 21573, 563, 1103, 519, 476, 866, 628, 2540, 267, 6426, 5640, 267, 8059, 1235, 267, 19623, 338, 267, 17631, 543, 4108, 4987, 10492, 689, 3013, 267, 4789, 543, 519, 2552, 5799, 3459, 9683, 519, 3338, 540, 519, 6426, 269, 1358, 4330, 4609, 267, 6592, 25654, 543, 9821, 267, 16668, 7851, 543, 11516, 3481, 8916, 269, 901, 1382, 3459, 547, 1930, 909, 519, 1158, 540, 519, 6426, 267, 1818, 621, 1100, 3476, 1175, 513, 24396, 1521, 1047, 267, 855, 513, 3883, 827, 1483, 1004, 267, 2621, 543, 4025, 269, 6271, 10155, 891, 17701, 3177, 1053, 1394, 1753, 729, 4987, 1344, 585, 3864, 2477, 32261, 519, 12900, 540, 519, 16368, 7276, 563, 7230, 1622, 540, 513, 10766, 3710, 676, 14890, 12358, 23790, 693, 28762, 24550, 630, 19640, 31656, 4157, 330, 1446, 264, 476, 277, 11465, 5087, 540, 5487, 617, 823, 320, 267, 11894, 269, 2755, 646, 1185, 1010, 2012, 27485, 593, 519, 10766, 950, 621, 729, 9112, 267, 12358, 23790, 779, 2012, 729, 6569, 1310, 1010, 2669, 267, 676, 1196, 1112, 540, 519, 4936, 14130, 563, 4263, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 11184, 5261, 681, 4461, 599, 8268, 267, 14155, 730, 543, 5206, 827, 5607, 19724, 269, 7324, 1010, 1271, 1568, 729, 16707, 547, 519, 18599, 932, 11699, 267, 827, 519, 1158, 540, 31694, 476, 273, 1700, 274, 269, 1323, 1271, 2487, 1353, 593, 519, 4259, 540, 31694, 476, 273, 1700, 274, 568, 2051, 514, 12920, 518, 779, 1912, 6185, 269, 12031, 896, 674, 12171, 269, 23745, 693, 519, 2160, 540, 25480, 538, 476, 3422, 280, 267, 13886, 634, 16707, 547, 519, 18599, 932, 11699, 540, 5607, 538, 741, 10871, 17553, 563, 296, 723, 6836, 547, 968, 31742, 538, 519, 3723, 25074, 892, 540, 891, 1390, 17701, 269, 3689, 267, 676, 2542, 519, 6589, 540, 741, 12599, 543, 267, 2034, 569, 267, 10707, 547, 519, 4025, 789, 10272, 267, 1818, 1250, 1378, 7422, 543, 2921, 5961, 269, 3245, 713, 5133, 267, 649, 786, 2015, 519, 3140, 4259, 540, 31694, 476, 272, 281, 280, 543, 519, 24347, 548, 3627, 779, 24815, 547, 4793, 21573, 269, 594, 2253, 609, 519, 13429, 602, 31694, 729, 2854, 538, 5084, 476, 4817, 267, 1282, 519, 12081, 540, 14890, 12358, 23790, 267, 711, 538, 519, 12081, 540, 715, 3266, 630, 24171, 476, 1960, 275, 281, 476, 6977, 1700, 1708, 1916, 288, 4142, 545, 2218, 30115, 585, 519, 17939, 770, 16211, 13527, 538, 9210, 1127, 639, 269, 634, 2012, 540, 14890, 12358, 23790, 1185, 1044, 669, 529, 601, 539, 856, 540, 519, 1283, 2185, 3515, 607, 513, 1267, 540, 519, 2481, 333, 26559, 8357, 23706, 9783, 676, 519, 4936, 14130, 563, 763, 8682, 268, 5719, 1881, 14890, 454, 10387, 10132, 12358, 23790, 1185, 513, 17386, 24178, 1966, 256, 769, 15875, 7507, 519, 6845, 622, 1131, 632, 1518, 606, 17169, 2390, 2669, 630, 298, 516, 12688, 476, 1960, 271, 281, 476, 13975, 1700, 1704, 1040, 1717, 267, 899, 717, 2967, 639, 2836, 580, 3121, 267, 543, 1134, 1140, 6479, 676, 3504, 5830, 267, 12358, 23790, 1223, 711, 7227, 2394, 2669, 543, 632, 1881, 5128, 563, 5353, 583, 517, 3780, 630, 4696, 476, 4037, 27351, 269, 476, 9610, 1070, 538, 1010, 22032, 540, 519, 6970, 525, 1513, 267, 5206, 281, 834, 4415, 1100, 1447, 818, 5766, 766, 646, 3459, 607, 5205, 538, 29307, 513, 9764, 4484, 538, 519, 2012, 540, 1010, 605, 2017, 2209, 267, 2048, 5978, 9457, 543, 938, 2696, 536, 1749, 602, 713, 581, 2944, 685, 257, 1496, 291, 7631, 639, 1696, 632, 639, 562, 8803, 554, 4141, 535, 1512, 328, 1775, 889, 564, 316, 630, 305, 6504, 324, 476, 1960, 273, 281, 476, 3607, 278, 1916, 3891, 849, 30590, 538, 519, 740, 1637, 540, 519, 1004, 538, 519, 16822, 30965, 831, 950, 789, 22551, 539, 454, 2108, 14187, 674, 28232, 1140, 1742, 938, 7083, 543, 27190, 816, 892, 1496, 291, 558, 3626, 1696, 2531, 2088, 324, 21688, 545, 3438, 316, 630, 305, 6504, 324, 476, 1960, 273, 281, 3607, 278, 1916, 1103, 7754, 1122, 344, 878, 639, 630, 3451, 269, 275, 1070, 1773, 4176, 519, 8479, 518, 630, 8619, 269, 5084, 476, 8618, 1700, 13647, 264, 5206, 513, 24744, 547, 14890, 3004, 13568, 912, 3891, 1496, 291, 558, 23790, 316, 729, 513, 14834, 2006, 267, 9420, 547, 519, 3020, 2495, 540, 1010, 2990, 267, 945, 1031, 519, 26750, 585, 10655, 10997, 540, 1164, 1726, 1783, 267, 945, 5433, 5128, 13581, 539, 543, 1085, 1941, 539, 952, 649, 8959, 547, 2628, 4630, 720, 547, 1010, 1350, 14508, 2209, 267, 2921, 1022, 9880, 540, 873, 547, 5128, 543, 7487, 1202, 6699, 547, 1010, 1378, 5601, 3650, 543, 2820, 6541, 945, 16363, 5128, 519, 3160, 540, 519, 10971, 2943, 6659, 1010, 1350, 14508, 2209, 547, 1010, 3160, 563, 291, 1470, 18706, 3780, 267, 538, 1010, 4936, 3778, 267, 5206, 912, 2690, 646, 1256, 29739, 2390, 1373, 9833, 607, 513, 5601, 1496, 1492, 657, 316, 543, 3576, 5318, 11348, 538, 1373, 1572, 2048, 24490, 685, 1496, 9188, 13607, 639, 316, 543, 5601, 1496, 1492, 657, 4940, 1452, 10643, 941, 1031, 711, 8806, 538, 4633, 855, 849, 538, 2854, 6054, 892, 630, 290, 776, 476, 1960, 276, 281, 476, 4097, 280, 1916, 3080, 4236, 1203, 3780, 595, 1564, 639, 1547, 1547, 1547, 1496, 4621, 18944, 316, 1547, 1547, 1547, 1996, 12358 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 631, 269, 15196, 548, 781, 2619, 811, 982, 621, 781, 1114, 547, 621, 780, 1892, 8729, 267, 713, 568, 1360, 5363, 269, 630, 8253, 3843, 547, 2057, 13215, 1039, 262, 331, 12227, 10071, 958, 282, 1175, 3168, 585, 607, 2241, 543, 10026, 513, 2619, 547, 713, 1880, 1267, 594, 666, 1205, 267, 585, 5301, 540, 3450, 270, 23890, 609, 1866, 4700, 1107, 1109, 297, 517, 11936, 476, 276, 3108, 3516, 692, 6097, 547, 21668, 11532, 267, 519, 8984, 9971, 540, 3230, 288, 2330, 568, 538, 519, 1106, 6695, 14024, 318, 288, 3287, 6661, 263, 343, 10559, 14433, 264, 325, 3287, 14638, 1141, 6695, 14433, 285, 271, 2330, 543, 519, 5072, 540, 3230, 325, 2330, 723, 29870, 3230, 283, 315, 14433, 21974, 5047, 267, 972, 568, 513, 630, 684, 1664, 909, 547, 513, 3815, 264, 6152, 3230, 341, 285, 271, 2330, 521, 6745, 269, 3230, 13510, 7807, 14433, 642, 21974, 4595, 3230, 288, 317, 307, 2330, 568, 18642, 267, 972, 568, 513, 630, 684, 1664, 909, 547, 513, 3815, 264, 6152, 3230, 340, 285, 271, 2330, 521, 6745, 269, 3230, 340, 317, 14011, 7807, 14433, 579, 317, 307, 21974, 4595, 3230, 340, 317, 307, 341, 285, 271, 18079, 649, 666, 3442, 519, 1657, 2188, 521, 6745, 269, 3230, 340, 317, 307, 341, 284, 272, 29634, 2467, 568, 513, 4493, 538, 519, 1106, 3230, 341, 12101, 26984, 2330, 521, 6745, 1421, 585, 713, 1689, 540, 4493, 540, 5119, 3230, 303, 22174, 631, 5332, 7268, 13992, 23334, 348, 14638, 267, 3230, 288, 284, 303, 10972, 698, 7268, 14433, 32390, 3709, 333, 268, 272, 16585, 303, 13064, 272, 6525, 1141, 6695, 14024, 29758, 3287, 6661, 325, 3287, 14638, 282, 1287, 3230, 289, 2330, 814, 513, 19706, 8953, 6695, 24838, 16360, 264, 283, 315, 14433, 18079, 602, 568, 267, 6695, 24838, 7268, 14433, 13064, 272, 348, 289, 21174, 14153, 283, 272, 29634, 13295, 3230, 7268, 14433, 13064, 272, 348, 288, 8203, 330, 284, 303, 10972, 698, 263, 272, 267, 7268, 14433, 13064, 272, 348, 289, 8203, 330, 264, 303, 13064, 272, 6525, 11148, 267, 950, 3230, 330, 9368, 5535, 315, 13727, 18079, 547, 519, 7584, 3230, 272, 2330, 1788, 528, 3230, 300, 284, 303, 10972, 698, 263, 272, 267, 271, 3709, 333, 268, 272, 16585, 303, 13064, 272, 6525, 282, 32047, 267, 585, 1169, 6695, 22668, 285, 271, 18079, 3230, 1475, 7268, 14433, 13064, 272, 348, 288, 8203, 330, 5336, 10166, 302, 263, 7268, 13320, 3189, 14153, 10954, 22668, 7346, 14433, 348, 8203, 330, 14638, 780, 288, 1788, 528, 568, 19918, 3989, 676, 3230, 574, 29687, 14638, 543, 6695, 12027, 29687, 6661, 263, 574, 29687, 317, 307, 4297, 17353, 704, 335, 6525, 267, 602, 568, 267, 676, 3230, 574, 29687, 1070, 708, 29687, 317, 307, 14638, 780, 30860, 602, 3230, 300, 341, 7807, 3916, 17624, 22570, 14433, 13064, 272, 348, 288, 8203, 330, 341, 284, 341, 267, 340, 317, 26774, 7807, 3916, 17624, 579, 317, 307, 7268, 14433, 13064, 272, 348, 288, 8203, 330, 284, 340, 317, 307, 21974, 3973, 519, 7584, 3230, 272, 2330, 1788, 528, 3230, 300, 2330, 568, 19918, 3989, 676, 3230, 574, 29687, 6661, 31078, 17635, 1070, 574, 29687, 317, 307, 6661, 31078, 26086, 14638, 780, 3086, 3230, 305, 284, 341, 340, 317, 307, 2330, 568, 849, 513, 1788, 528, 609, 3239, 3230, 31078, 17635, 14638, 543, 3230, 574, 27562, 317, 307, 6661, 31078, 26086, 14638, 269, 3973, 3230, 300, 284, 341, 340, 317, 307, 29634, 1892, 8729, 585, 713, 2143, 3210, 256, 28791, 594, 4312, 29144, 1498, 267, 621, 3085, 1405, 3833, 2232, 519, 2152, 7396, 538, 519, 29667, 344, 269, 3689, 568, 519, 2243, 1946, 519, 6169, 3182, 3293, 538, 519, 20525, 2306, 946, 540, 519, 2451, 20902, 14802, 27523, 538, 1840, 547, 519, 1318, 3283, 269, 9717, 13804, 14243, 26856, 781, 6085, 267, 621, 4667, 519, 1318, 3283, 1058, 3411, 823, 269, 5822, 267, 713, 6169, 4667, 811, 899, 513, 1114, 2619, 547, 519, 5551, 1267, 982, 606, 7778, 540, 519, 2619, 11855, 538, 519, 20525, 269, 12059, 267, 811, 3015, 4267, 616, 9053, 1934, 267, 6466, 713, 2626, 20558, 513, 4023, 2179, 540, 3606, 12227, 630, 2889, 915, 832, 267, 737, 1716, 1564, 267, 2592, 1040, 1107, 1109, 297, 517, 11936, 9947, 476, 1240, 693, 476, 1626, 281, 1321, 0, 258, 8212, 692, 14006, 539, 676, 16317, 288, 521, 1194, 568, 15504, 2066, 513, 8880, 6777, 2627, 609, 513, 3586, 6991, 269, 634, 3196, 1373, 4294, 568, 476, 3199, 715, 693, 606, 5086, 540, 476, 7871, 5232, 547, 519, 2666, 269, 1548, 568, 519, 9588, 540, 519, 3196, 540, 11508, 540, 519, 6777, 9117, 593, 519, 521, 1194, 2496, 1892, 8212, 910, 692, 20315, 4041, 284, 836, 692, 836, 283, 3199, 285, 270, 325, 3287, 285, 263, 331, 270, 273, 7565, 742, 7565, 16936, 994, 283, 18605, 285, 263, 272, 269, 18357, 260, 7565, 274, 269, 278, 994, 260, 284, 325, 333, 23218, 643, 283, 271, 269, 1626, 28918, 30156, 333, 994, 314, 7032, 317, 273, 28488, 325, 333, 263, 3199, 11723, 23177, 281, 476, 6078, 269, 866, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 6323, 692, 288, 521, 1194, 568, 15504, 693, 513, 3586, 6991, 2066, 513, 8880, 6777, 2627, 269, 1403, 513, 3196, 540, 476, 1911, 715, 568, 4294, 547, 519, 521, 1194, 693, 606, 5086, 540, 476, 2412, 5232, 547, 519, 2666, 267, 1018, 568, 519, 3196, 540, 11508, 1063, 519, 521, 1194, 543, 519, 6777, 888, 273, 269, 12693, 6323, 692, 320, 521, 1194, 568, 15504, 693, 513, 6991, 2066, 513, 8880, 6777, 2627, 269, 952, 513, 3196, 540, 476, 279, 269, 271, 343, 1015, 547, 519, 1101, 1379, 715, 568, 1373, 4294, 547, 513, 521, 1194, 18052, 693, 606, 5086, 540, 476, 7871, 5232, 547, 519, 2666, 267, 1018, 568, 519, 9588, 3196, 540, 11508, 454, 274, 269, 12693, 6323, 692, 320, 521, 1194, 568, 15504, 693, 513, 6991, 2066, 513, 8880, 6777, 2627, 269, 952, 513, 3196, 540, 476, 279, 269, 271, 343, 1015, 547, 519, 1101, 1379, 715, 568, 1373, 4294, 547, 513, 521, 1194, 18052, 693, 606, 5086, 540, 476, 7871, 5232, 547, 519, 2666, 267, 1018, 568, 519, 9588, 3196, 540, 11508, 454, 275, 269, 12693, 8212, 4083, 12968, 832, 692, 288, 476, 2537, 269, 271, 4846, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 8064, 269, 271, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 276, 269, 12693, 8212, 692, 288, 476, 2420, 269, 271, 4846, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 4281, 269, 271, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 277, 269, 12693, 8212, 692, 288, 476, 2190, 269, 276, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 6507, 269, 271, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 278, 269, 12693, 6323, 692, 288, 476, 1428, 269, 276, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 10602, 269, 278, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 2767, 11019, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 279, 269, 12693, 6323, 692, 288, 476, 1691, 269, 275, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 5780, 269, 280, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 3953, 11019, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 454, 280, 269, 12693, 8212, 692, 288, 476, 3066, 269, 279, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 6434, 269, 279, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 4375, 11019, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 1015, 269, 12693, 8212, 692, 288, 476, 2190, 269, 276, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 9262, 269, 276, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 269, 2560, 692, 5415, 5381, 5999, 0, 258, 28249, 540, 513, 6806, 23756, 1305, 692, 1892, 8342, 5652, 2735, 272, 692, 2971, 8342, 5652, 2735, 272, 692, 4131, 2473, 581, 513, 1483, 14465, 778, 6611, 267, 595, 581, 513, 6806, 23756, 15410, 540, 2473, 780, 31711, 700, 322, 815, 2715, 325, 281, 535, 910, 513, 17995, 2473, 265, 585, 930, 1483, 1297, 513, 543, 535, 3287, 264, 21759, 476, 271, 585, 782, 1535, 17995, 595, 348, 630, 311, 265, 568, 519, 12242, 2230, 540, 2473, 2020, 8794, 513, 4528, 540, 519, 670, 23167, 910, 14465, 778, 14497, 547, 1397, 602, 692, 290, 815, 3980, 358, 2715, 343, 17995, 2473, 281, 535, 3287, 264, 21759, 476, 271, 348, 609, 519, 4994, 535, 17995, 700, 322, 896, 519, 10167, 692, 27745, 2576, 948, 803, 547, 4194, 713, 1966, 267, 1775, 666, 1405, 1294, 875, 670, 23167, 910, 14465, 778, 666, 17538, 519, 1657, 3948, 630, 594, 1031, 519, 9668, 4528, 547, 3489, 575, 3287, 264, 283, 320, 283, 326, 12169, 264, 585, 930, 5276, 6198, 575, 2020, 2791, 786, 991, 519, 1739, 1351, 3326, 776, 540, 519, 670, 23167, 734, 289, 534, 778, 11532, 630, 5976, 1016, 15035, 6198, 2567, 952, 12361, 308, 1012, 568, 513, 23756, 1930, 1305, 267, 543, 12361, 320, 315, 2254, 514, 772, 1012, 1287, 972, 6818, 513, 1875, 25179, 5276, 6198, 12361, 325, 22174, 2473, 317, 265, 1012, 971, 602, 12361, 325, 3287, 9385, 548, 535, 5416, 264, 1012, 585, 782, 12361, 343, 22174, 772, 1012, 269, 1677, 6961, 519, 1351, 3326, 776, 596, 1101, 5469, 602, 1317, 540, 8144, 23223, 766, 267, 596, 666, 8263, 1510, 2530, 540, 1252, 1275, 602, 12361, 271, 22174, 772, 1012, 780, 10190, 596, 5581, 513, 1016, 15035, 6198, 12361, 336, 1012, 547, 581, 519, 631, 1074, 22603, 6198, 540, 12361, 308, 1012, 267, 543, 5581, 12361, 325, 318, 271, 1012, 547, 581, 519, 5276, 6198, 593, 519, 835, 8820, 2230, 838, 10165, 676, 12361, 320, 1012, 971, 602, 12361, 325, 318, 271, 5416, 6661, 272, 1012, 269, 6987, 2056, 12361, 325, 318, 271, 1012, 676, 670, 23167, 734, 289, 534, 778, 596, 1205, 513, 6198, 12361, 325, 1012, 971, 602, 12361, 325, 3287, 9385, 548, 7117, 3287, 264, 1012, 585, 782, 12361, 343, 22174, 2473, 1012, 269, 3973, 585, 782, 12361, 343, 22174, 772, 1012, 3230, 325, 3287, 264, 1422, 548, 7117, 3287, 264, 1422, 548, 476, 272, 815, 7117, 5416, 1070, 2330, 865, 649, 1205, 519, 5551, 8635, 563, 2171, 1869, 991, 547, 1397, 602, 12361, 325, 22174, 2473, 317, 265, 1012, 630, 328, 4318, 269, 602, 12361, 325, 1012, 568, 22112, 1070, 855, 602, 568, 2653, 281, 12361, 308, 1012, 568, 1930, 267, 865, 606, 1930, 3440, 12361, 289, 29192, 29166, 27432, 1422, 11357, 3553, 772, 1012, 267, 865, 12361, 336, 3287, 1070, 7117, 8987, 343, 9385, 548, 1422, 2765, 272, 315, 29166, 27432, 1422, 347, 343, 315, 347, 1012, 630, 1012, 289, 29192, 29166, 27432, 1012, 568, 606, 1930, 3440, 540, 8953, 12361, 315, 29166, 27432, 1012, 10704, 693, 12361, 271, 1012, 1070, 543, 4061, 12361, 347, 325, 3287, 264, 24689, 548, 1422, 2765, 272, 315, 29166, 27432, 1422, 347, 343, 315, 347, 1012, 780, 2414, 1205, 519, 3948, 596, 991, 267, 1491, 12361, 320, 1422, 2254, 514, 595, 1012, 269, 3973, 585, 930, 12361, 315, 29166, 27432, 285, 271, 1012, 519, 2898, 1930, 3440, 12361, 343, 266, 289, 29192, 29166, 27432, 1012, 1281, 711, 12969, 12361, 290, 1012, 267, 610, 267, 5973, 1836, 267, 519, 630, 13449, 264, 1305, 12361, 308, 281, 284, 595, 266, 289, 29192, 29166, 27432, 1012, 1281, 711, 2270, 12361, 320, 1012, 269, 16792, 519, 1657, 1351, 3326, 776, 586, 334, 1205, 602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3418, 825, 1820, 2891, 10112, 9892, 476, 273, 257, 10142, 24541, 825, 3403, 274, 815, 3403, 2891, 11767, 2338, 610, 4986, 950, 2944, 834, 3418, 825, 1948, 18905, 815, 703, 9272, 274, 264, 1948, 11161, 547, 979, 538, 1592, 1477, 825, 1003, 8266, 6910, 9272, 274, 3418, 24541, 825, 1948, 1729, 14827, 8520, 3593, 3403, 1590, 5734, 4283, 609, 1100, 1297, 1477, 825, 1247, 9272, 274, 11203, 834, 257, 8029, 1363, 1477, 1363, 1477, 1038, 3403, 274, 815, 3403, 2891, 11767, 2338, 610, 4986, 950, 2944, 834, 3418, 1038, 1948, 18905, 815, 703, 9272, 274, 3418, 1038, 952, 3403, 274, 2652, 834, 257, 6769, 2018, 2736, 1477, 1363, 1477, 1038, 1003, 8266, 6910, 9272, 274, 3418, 8587, 1477, 825, 1948, 718, 2418, 538, 1592, 547, 703, 1826, 24541, 825, 1003, 8266, 815, 1592, 9852, 777, 17301, 267, 11133, 8266, 17903, 24541, 825, 1948, 4820, 476, 273, 540, 7084, 1477, 825, 5266, 28269, 16325, 8266, 264, 1948, 10139, 532, 1592, 1477, 8587, 1477, 1363, 5897, 24541, 1948, 4820, 476, 272, 540, 7084, 825, 1477, 3698, 29870, 6357, 848, 267, 10339, 267, 15965, 8029, 24541, 825, 1948, 9302, 642, 1023, 540, 4831, 1141, 513, 1412, 272, 262, 5526, 1477, 825, 1948, 514, 519, 9352, 4082, 1477, 825, 1293, 815, 1496, 15947, 825, 1948, 9302, 642, 1023, 540, 29870, 1477, 825, 1293, 271, 815, 1496, 15947, 825, 1948, 9302, 3803, 642, 1023, 540, 1599, 1477, 825, 1293, 272, 815, 32582, 5897, 825, 1948, 4219, 20800, 547, 9352, 1477, 825, 1163, 815, 10822, 263, 10339, 3418, 24541, 825, 1948, 24525, 1412, 271, 321, 262, 689, 9352, 4082, 1477, 825, 1163, 815, 1163, 314, 273, 281, 316, 21506, 24541, 825, 1948, 26319, 540, 9352, 4082, 14263, 476, 272, 267, 649, 2015, 2990, 476, 271, 1477, 825, 4831, 815, 7003, 263, 10339, 264, 910, 476, 272, 567, 1477, 24541, 825, 1948, 331, 8504, 585, 1412, 272, 262, 538, 9352, 4082, 1477, 825, 585, 1535, 538, 1163, 6769, 11434, 952, 1535, 2652, 1412, 272, 262, 6769, 19930, 1948, 5417, 2990, 540, 1412, 272, 262, 547, 1293, 567, 1477, 19930, 1293, 6910, 6262, 3300, 264, 21506, 11434, 1948, 1372, 920, 618, 1775, 24541, 11434, 4831, 268, 284, 272, 1477, 24541, 825, 1948, 26319, 540, 9352, 4082, 825, 1477, 825, 4831, 815, 7003, 263, 10339, 264, 910, 272, 1477, 24541, 825, 1948, 29602, 1310, 2479, 21767, 538, 1247, 8520, 5897, 825, 513, 815, 476, 272, 1477, 24541, 825, 1948, 6112, 8520, 4991, 519, 1110, 1871, 267, 909, 547, 519, 2450, 540, 9352, 1477, 825, 1948, 10339, 1833, 267, 3490, 20800, 568, 5595, 1310, 21767, 1477, 825, 1247, 6262, 3300, 11203, 910, 272, 8029, 11434, 1948, 7116, 15252, 1871, 21506, 11434, 1121, 815, 630, 19668, 1262, 263, 320, 4297, 4939, 2820, 1477, 11434, 1293, 271, 6910, 263, 8145, 3418, 11434, 4831, 268, 284, 272, 1477, 11434, 513, 265, 284, 273, 1477, 1038, 1477, 825, 1948, 1721, 11249, 1477, 825, 1293, 18622, 2091, 14052, 24541, 825, 1948, 1721, 1169, 2990, 540, 1412, 272, 262, 538, 519, 9352, 6262, 870, 3418, 825, 1948, 933, 1205, 519, 1871, 540, 519, 1110, 6262, 870, 271, 264, 538, 602, 2990, 1477, 825, 1948, 5417, 621, 547, 519, 3803, 3070, 6262, 870, 272, 264, 538, 513, 1592, 1477, 825, 585, 586, 538, 1293, 6769, 1038, 1293, 272, 6910, 6262, 870, 271, 314, 344, 316, 10142, 24541, 825, 1820, 6262, 870, 272, 3418, 5897, 258, 4820, 476, 273, 540, 7084, 1477, 3698, 5266, 28269, 16325, 8266, 2567, 5897, 825, 1948, 7407, 540, 575, 7251, 21506, 825, 575, 7251, 11749, 815, 476, 271, 1477, 24541, 825, 5727, 1477, 825, 575, 7251, 3287, 11971, 3418, 825, 1775, 281, 713, 4831, 568, 3743, 585, 519, 586, 1871, 538, 519, 575, 7251, 23228, 825, 1247, 1535, 568, 513, 6378, 3693, 267, 586, 1590, 621, 4733, 998, 519, 1592, 4358, 1477, 825, 689, 519, 2990, 1535, 1341, 476, 272, 267, 538, 824, 1913, 1775, 6645, 586, 1141, 538, 519, 1592, 1477, 825, 547, 1376, 23228, 825, 5727, 1477, 825, 1775, 815, 476, 271, 1477, 24541, 825, 5727, 1477, 825, 586, 281, 519, 1871, 602, 12055, 919, 998, 519, 1592, 23228, 825, 4358, 2990, 5673, 593, 1775, 1477, 825, 5727, 1477, 825, 586, 815, 476, 272, 1477, 24541, 825, 5727, 1477, 825, 1295, 290, 3300, 281, 1031, 547, 2736, 856, 540, 519, 585, 8520, 1477, 825, 19251, 290, 3300, 281, 11887, 952, 3977, 786, 581, 6292, 3772, 270, 2254, 1790, 1515, 3772, 1477, 825, 5727, 1477, 825, 1295, 290, 3300, 815, 8771, 1477, 825, 19251, 290, 3300, 815, 6936, 1477, 24541, 825, 5727, 1477, 825, 575, 7251, 3287, 11971, 3418, 825, 1535, 666, 581, 2808, 519, 2462, 8520, 267, 4358, 693, 3693, 476, 271, 267, 621, 3649, 1080, 2394, 1477, 825, 586, 814, 12055, 730, 998, 519, 1592, 630, 11034, 532, 693, 586, 815, 1775, 1341, 476, 272, 264, 1287, 7575, 593, 21506, 825, 547, 519, 1985, 3693, 2394, 782, 2009, 575, 322, 1091, 723, 1044, 13761, 1477, 825, 5727, 1477, 825, 585, 1535, 538, 1003, 8266, 6769, 1038, 1247, 586, 2999, 7003, 16325, 8266, 2567, 11434, 1477, 2018, 1948, 1326, 575, 7251, 540, 1535, 11971, 1477, 2018, 575, 7251, 11749, 815, 2979, 3052, 7251, 3287, 267, 11133, 8266, 314, 344, 29573, 17264, 1477, 2018, 1948, 604, 575, 7251, 1281, 711, 3160, 476, 272, 1287, 519, 2898, 1592, 540, 1297, 568, 1477, 2018, 1948, 2254, 6292, 3772, 1477, 2018, 952, 575, 7251, 11749, 11203, 476, 272, 6769, 3546, 1820, 2891, 8253, 6292, 3772, 5266, 6305, 14744, 3546, 1295, 290, 3300, 815, 6936, 1477, 3546, 19251, 290, 3300, 815, 8771, 1477, 3546, 2736, 1477, 17264, 5897, 2018, 586, 23785, 272, 1477, 1038, 952, 263, 2381, 290, 3300, 8029, 2018, 2736, 1477, 1038, 1775, 23785, 272, 1948, 577, 5190, 1169, 942, 1535, 2242, 267, 799, 568, 1310, 586, 12055, 919, 1477, 1038, 586, 284, 1775, 1341, 476, 272, 1948, 1729, 1376, 835, 3693, 6619, 540, 1535, 1477, 1363, 1477, 825, 952, 9852, 1122, 290, 3300, 8029, 1038, 1820, 2891, 303, 1515, 3772, 5266, 6305, 14744, 24541, 10852, 3890, 0, 258, 1336, 621, 711, 20310, 267, 8495, 780, 258, 1234, 15479, 633, 8827, 454, 3698, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 267, 2707, 267, 25581, 267, 10278, 2187, 825, 1948, 12476, 2783, 454, 825, 952, 1003, 318, 4134, 802, 2652, 476, 271, 912, 1038, 2132, 692, 825, 1948, 12910, 1588, 2783, 454, 825, 952, 1003, 318, 4134, 802, 2652, 476, 272, 912, 1038, 1820, 2891, 24001, 15079, 2668, 8971, 4433, 1830, 267, 10278, 4917, 1038, 2132, 692, 825, 15981, 9617, 1589, 540, 835, 21767, 267, 1964, 519, 1234, 15479, 542, 786, 1491, 1416, 256, 18257, 692, 825, 1948, 5153, 476, 272, 281, 8844, 2387, 11133, 318, 4134, 802, 910, 476, 272, 319, 689, 2707, 547, 25581, 454, 825, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 910, 476, 272, 267, 2707, 267, 10278, 267, 25581, 2020, 825, 1948, 5153, 476, 273, 281, 3767, 596, 616, 2451, 609, 519, 1152, 4102, 12210, 693, 2707, 563, 825, 1948, 8844, 519, 1152, 31629, 12210, 689, 2707, 547, 10278, 454, 825, 1820, 2891, 24001, 15079, 2668, 8971, 4433, 1830, 267, 10278, 11723, 825, 1948, 5153, 476, 274, 281, 8844, 2387, 11133, 318, 4134, 802, 910, 476, 272, 319, 689, 25581, 547, 10278, 454, 825, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 910, 476, 272, 267, 25581, 267, 2707, 267, 10278, 9239, 3698, 13486, 15058, 318, 295, 8457, 328, 16325, 318, 4134, 802, 2187, 825, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 267, 1412, 306, 3299, 1412, 288, 3299, 1412, 291, 17210, 692, 2745, 6025, 1077, 15058, 318, 295, 8457, 328, 263, 275, 4297, 0, 5814, 15259, 7531, 3698, 1265, 6958, 3796, 318, 13440, 4433, 4428, 1460, 267, 2619, 267, 3977, 2187, 825, 8173, 825, 25276, 1599, 547, 581, 1572, 585, 3977, 692, 825, 1488, 7714, 912, 8587, 21879, 19304, 2567, 21879, 952, 519, 3758, 2012, 547, 581, 1336, 454, 8587, 2619, 19304, 2567, 2619, 540, 519, 3758, 1062, 454, 8587, 3977, 17338, 2567, 1592, 540, 2619, 692, 825, 16849, 912, 11434, 3977, 17338, 2567, 476, 513, 1592, 540, 10092, 454, 825, 8173, 825, 585, 3758, 538, 15259, 269, 4289, 323, 597, 9638, 987, 2187, 1038, 3758, 815, 15259, 29624, 12459, 7765, 9638, 987, 267, 3758, 994, 1038, 952, 15259, 29624, 18994, 12803, 31526, 264, 543, 3758, 269, 1742, 5976, 4433, 4428, 1460, 2187, 2018, 3977, 6910, 31526, 994, 1038, 8640, 15259, 29624, 18994, 323, 597, 31526, 2187, 2018, 3977, 815, 1265, 6958, 3796, 318, 13440, 4433, 4428, 1460, 267, 3758, 267, 3977, 994, 825, 2132, 3977, 7531, 3698, 1265, 6958, 3796, 4433, 4428, 1460, 267, 2619, 2187, 825, 8173, 825, 4855, 782, 6119, 9944, 2619, 609, 3758, 2012, 21879, 780, 825, 8074, 602, 513, 2619, 949, 2270, 2417, 1016, 29715, 1559, 454, 825, 543, 1346, 1016, 29715, 1559, 949, 849, 2270, 2417, 1016, 29715, 1559, 780, 825, 1703, 616, 1100, 3970, 547, 519, 3178, 540, 519, 1016, 29715, 1559, 666, 581, 780, 825, 1488, 7714, 912, 8587, 21879, 19304, 2567, 21879, 952, 519, 3758, 2012, 547, 581, 1336, 454, 8587, 2619, 19304, 2567, 2619, 540, 519, 3758, 1062, 692, 825, 16849, 912, 11434, 513, 1592, 540, 10092, 454, 825, 8173, 825, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 2187, 1038, 2132, 834, 684, 1410, 12371, 2619, 4840, 825, 3977, 284, 11713, 825, 3977, 815, 1265, 6958, 3796, 318, 13440, 4433, 4428, 1460, 267, 2619, 267, 3977, 994, 825, 2132, 3977, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 4530, 8865, 476, 272, 454, 825, 2619, 815, 1412, 11687, 323, 597, 7055, 825, 21879, 815, 29717, 322, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 277, 6119, 692, 825, 1948, 4530, 8865, 476, 273, 454, 825, 2619, 815, 1412, 11687, 323, 597, 7055, 825, 21879, 815, 29717, 327, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 275, 6119, 692, 825, 1948, 4530, 8865, 476, 274, 454, 825, 2619, 815, 1412, 11687, 323, 597, 4882, 889, 323, 597, 272, 7055, 825, 21879, 815, 29717, 327, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 272, 6119, 692, 825, 1948, 4530, 8865, 476, 275, 454, 825, 2619, 815, 1412, 11687, 323, 597, 4882, 889, 323, 597, 272, 7055, 825, 21879, 815, 29717, 327, 271, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 8900, 1592, 692, 825, 1948, 4530, 8865, 476, 276, 454, 825, 2619, 815, 1412, 11687, 323, 597, 273, 7055, 825, 21879, 815, 29717, 327, 271, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 5470, 5048 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32146, 13136, 1691, 1775, 6557, 1934, 547, 2285, 596, 606, 10763, 1557, 7291, 602, 3580, 10763, 3594, 2356, 13404, 593, 875, 1131, 1775, 2328, 606, 25107, 1557, 1210, 269, 1879, 596, 616, 1603, 513, 585, 606, 3284, 7005, 1893, 610, 3284, 7005, 3332, 5401, 596, 991, 547, 1118, 2386, 602, 596, 946, 547, 3284, 7005, 3732, 3594, 476, 279, 3199, 267, 25171, 5784, 269, 8890, 6776, 3332, 3594, 1557, 593, 2146, 5718, 25107, 3332, 3594, 519, 10872, 814, 1044, 7745, 1524, 883, 1614, 6688, 281, 556, 601, 1965, 11985, 565, 544, 323, 1662, 279, 2537, 271, 269, 3979, 7819, 3332, 3594, 281, 936, 476, 5197, 267, 1822, 19052, 7819, 3332, 3594, 267, 19052, 7819, 3332, 2165, 4574, 267, 19052, 7819, 3332, 1382, 269, 1215, 547, 1020, 543, 2328, 606, 25107, 1557, 538, 1603, 25107, 4574, 602, 2232, 1022, 2186, 540, 3332, 1369, 891, 3594, 563, 19138, 7005, 693, 575, 657, 1156, 2852, 538, 1603, 827, 3332, 610, 1022, 1808, 1257, 267, 596, 786, 7794, 707, 4901, 952, 596, 2709, 1808, 15102, 689, 519, 1257, 607, 269, 5675, 3594, 267, 5359, 610, 824, 875, 798, 1775, 2328, 513, 1434, 3332, 2689, 1419, 267, 2705, 267, 596, 1711, 1007, 10763, 6688, 610, 3347, 269, 476, 272, 3732, 3332, 2689, 8329, 676, 3997, 534, 544, 1188, 28225, 543, 22415, 807, 1225, 26385, 713, 568, 519, 4990, 540, 3332, 2689, 602, 1522, 581, 11368, 883, 606, 10763, 1557, 563, 22860, 3749, 1603, 3732, 3594, 543, 6085, 2456, 10763, 1603, 3732, 3594, 609, 5467, 6114, 543, 18176, 8292, 585, 3594, 609, 8464, 540, 476, 277, 269, 7454, 948, 593, 875, 547, 2328, 606, 2079, 1557, 281, 2079, 3594, 616, 1634, 547, 581, 835, 540, 519, 1034, 2352, 547, 5339, 2079, 1557, 3332, 1053, 1224, 513, 269, 1215, 547, 2328, 10763, 1557, 4896, 666, 581, 25107, 513, 10196, 610, 513, 1888, 602, 568, 1360, 2370, 6594, 538, 3332, 563, 12626, 3332, 1603, 3391, 476, 273, 875, 547, 2328, 3594, 609, 1100, 2963, 540, 25107, 1983, 543, 5924, 1022, 3007, 547, 519, 2243, 267, 621, 269, 6736, 1954, 644, 781, 11999, 3310, 593, 14206, 10601, 12496, 540, 519, 23408, 267, 972, 814, 2760, 1354, 1044, 538, 7005, 513, 2347, 4015, 540, 1010, 269, 5369, 15351, 24608, 5339, 9880, 568, 5339, 5702, 1739, 519, 25107, 4612, 633, 1184, 1954, 644, 5206, 1896, 1271, 3594, 593, 3332, 24707, 0, 15578, 670, 2752, 4041, 300, 11555, 2793, 3041, 306, 23814, 912, 3951, 24202, 670, 8780, 3036, 13965, 29313, 18306, 23814, 10396, 19154, 19272, 595, 17109, 13543, 6730, 14298, 5746, 4953, 312, 5442, 7537, 2207, 32177, 18838, 676, 27661, 7804, 269, 5261, 631, 1638, 10247, 3778, 476, 276, 2420, 12096, 476, 1960, 280, 454, 305, 3722, 24361, 14160, 8379, 12442, 19200, 9898, 20796, 17162, 654, 2752, 594, 454, 303, 27773, 19845, 4696, 8991, 15444, 2207, 294, 5058, 5442, 670, 2752, 4041, 300, 454, 295, 2752, 4041, 300, 6789, 5990, 834, 13993, 19272, 631, 4953, 4629, 303, 5357, 3041, 4840, 15578, 8121, 4811, 5508, 670, 2752, 4041, 300, 454, 20062, 25492, 7537, 2207, 32177, 24202, 21614, 4041, 5442, 5990, 11555, 2793, 3041, 306, 23814, 454, 3918, 293, 28421, 16739, 10396, 5990, 670, 2752, 4041, 300, 11555, 2793, 3041, 306, 23814, 24202, 670, 8780, 3036, 13965, 29313, 18306, 23814, 454, 763, 31222, 11193, 568, 835, 540, 519, 1034, 9565, 5322, 538, 513, 12102, 1895, 781, 1686, 538, 519, 2136, 2276, 540, 3013, 269, 634, 25174, 17275, 606, 4656, 540, 1582, 585, 4563, 4892, 538, 519, 2038, 851, 540, 519, 14206, 2540, 269, 898, 729, 519, 8744, 1927, 540, 3109, 5159, 267, 14761, 267, 12372, 267, 5830, 267, 15023, 267, 25249, 543, 17051, 689, 782, 936, 519, 2197, 13671, 538, 31222, 267, 1715, 3840, 269, 31222, 2968, 519, 1753, 540, 24455, 945, 1185, 9909, 540, 1373, 4862, 610, 11589, 1390, 15421, 269, 898, 849, 2968, 519, 4099, 585, 9097, 607, 1134, 607, 7787, 4555, 593, 519, 6454, 540, 519, 2783, 540, 4563, 4892, 538, 2486, 1282, 519, 3735, 476, 5002, 271, 781, 593, 909, 547, 519, 476, 4572, 271, 781, 563, 763, 31222, 11193, 607, 606, 3140, 3350, 568, 25864, 6026, 607, 513, 2101, 1448, 538, 2136, 2276, 1686, 269, 9603, 547, 519, 1249, 602, 1082, 540, 519, 17050, 543, 13922, 585, 31222, 543, 922, 2104, 723, 711, 1570, 1242, 267, 1082, 12206, 723, 1524, 2452, 539, 922, 4644, 593, 875, 17051, 9763, 2933, 543, 875, 1866, 9763, 17051, 1282, 519, 942, 1974, 1063, 476, 4489, 279, 268, 4350, 271, 269, 634, 1390, 13007, 540, 1082, 540, 519, 14789, 602, 941, 4535, 689, 519, 25174, 4667, 547, 1869, 723, 14496, 543, 568, 6026, 547, 1977, 1453, 267, 855, 519, 3350, 607, 835, 540, 3109, 11348, 543, 4656, 814, 4503, 922, 28487, 998, 519, 1296, 543, 814, 7449, 3660, 547, 513, 6071, 3723, 16694, 538, 1977, 1686, 563, 1103, 713, 1957, 267, 594, 786, 1101, 1867, 593, 519, 14820, 540, 3109, 1977, 1310, 2622, 2782, 594, 543, 519, 7766, 1514, 543, 2686, 32238, 602, 17275, 519, 31222, 11193, 269, 4746, 594, 993, 2469, 547, 1448, 856, 6206, 5515, 540, 519, 31222, 2797, 8186, 543, 519, 2101, 5716, 538, 31222, 781, 1148, 543, 2575, 10207, 269, 1230, 6984, 519, 1957, 786, 581, 513, 8086, 593, 519, 31222, 11193, 543, 922, 3310, 593, 3109, 2486, 543, 2528, 2221, 563, 1103, 476, 4489, 279, 267, 2622, 2782, 594, 729, 4947, 547, 922, 3932, 543, 1082, 540, 519, 2367, 13059, 689, 8396, 941, 3109, 269, 9861, 18246, 543, 1373, 6534, 547, 1007, 4529, 543, 9082, 1500, 1082, 540, 519, 7980, 8165, 538, 519, 2112, 6218, 741, 1378, 2528, 543, 1871, 630, 295, 10212, 1231, 533, 269, 278, 1040, 4563, 7980, 4947, 1753, 1185, 1044, 2182, 2989, 676, 2112, 543, 1185, 513, 17105, 2631, 540, 1018, 621, 729, 547, 581, 513, 812, 269, 3509, 3109, 7980, 8120, 547, 4872, 941, 789, 941, 5701, 899, 2034, 11665, 4961, 610, 1875, 268, 12516, 525, 1247, 741, 3043, 13413, 941, 8391, 1390, 1035, 8010, 269, 4563, 2367, 1223, 711, 1294, 875, 789, 1223, 2482, 1524, 741, 2729, 519, 1482, 607, 3043, 2367, 543, 1869, 711, 581, 741, 11224, 13998, 538, 713, 2197, 269, 3509, 540, 891, 2367, 1572, 585, 519, 1439, 540, 27740, 22098, 267, 540, 519, 2956, 540, 6803, 3961, 267, 543, 540, 519, 1007, 950, 3109, 2367, 1131, 723, 543, 29937, 1379, 630, 295, 10212, 1231, 533, 269, 278, 1040, 2060, 3109, 2367, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 26123, 3332, 530, 5942, 476, 1015, 3817, 1039, 1007, 2985, 519, 2648, 1650, 540, 7708, 559, 639, 267, 5067, 540, 4622, 17028, 600, 540, 512, 5797, 20875, 4630, 518, 519, 476, 8270, 611, 3638, 12107, 22092, 20095, 269, 634, 476, 8270, 611, 5758, 689, 1396, 577, 11301, 646, 7125, 547, 1010, 3993, 519, 26385, 2094, 513, 577, 14792, 568, 535, 730, 547, 5884, 513, 32219, 2669, 538, 6370, 269, 968, 1492, 476, 8270, 611, 892, 676, 4630, 518, 538, 519, 1390, 2648, 1650, 540, 713, 12473, 621, 568, 711, 535, 730, 585, 1864, 547, 1491, 512, 5797, 865, 519, 10971, 948, 646, 2758, 6146, 1273, 549, 1816, 269, 4828, 827, 2648, 538, 4630, 518, 779, 476, 8270, 611, 519, 2956, 540, 2648, 538, 4630, 518, 779, 476, 8270, 611, 543, 27356, 8124, 4630, 518, 779, 713, 568, 10268, 538, 519, 21055, 3993, 1606, 517, 269, 901, 835, 22240, 3391, 2882, 513, 4729, 5758, 543, 5618, 2079, 540, 519, 476, 8270, 611, 676, 4630, 518, 519, 476, 8270, 611, 568, 513, 543, 12134, 1010, 3993, 1776, 2101, 6249, 568, 602, 540, 2648, 563, 16032, 12556, 538, 519, 476, 8270, 611, 10530, 5697, 676, 5215, 540, 938, 3755, 4630, 518, 5067, 267, 30270, 689, 519, 476, 8270, 611, 519, 5067, 540, 513, 1390, 812, 267, 519, 3993, 945, 5795, 803, 1272, 734, 513, 269, 634, 476, 8270, 611, 676, 4630, 518, 630, 344, 1263, 536, 684, 810, 344, 264, 476, 272, 4630, 518, 779, 476, 273, 4630, 518, 3040, 1492, 6574, 540, 3504, 19967, 12473, 15023, 3040, 331, 1882, 538, 476, 25616, 27652, 267, 476, 1321, 628, 2540, 27652, 267, 610, 476, 278, 628, 269, 634, 476, 8270, 611, 267, 676, 4630, 518, 1433, 476, 1704, 540, 519, 6370, 1472, 519, 1560, 540, 1273, 549, 9383, 657, 855, 693, 516, 639, 685, 5067, 729, 621, 602, 9493, 1058, 7985, 22408, 4900, 1851, 2192, 1922, 730, 2367, 269, 634, 476, 8270, 611, 267, 676, 4630, 518, 1273, 549, 9383, 657, 267, 899, 513, 23816, 2370, 30823, 267, 602, 8255, 676, 1200, 3993, 779, 2427, 543, 1291, 519, 2112, 2000, 8221, 1250, 3944, 573, 976, 547, 519, 4339, 563, 13923, 10530, 689, 519, 476, 8270, 611, 281, 722, 499, 4630, 518, 267, 519, 476, 8270, 611, 476, 1626, 15055, 616, 519, 14930, 540, 693, 516, 639, 519, 1152, 2367, 538, 519, 1158, 945, 2648, 741, 24726, 269, 3367, 4274, 2079, 593, 1915, 2079, 538, 476, 8270, 611, 22559, 4064, 5067, 540, 519, 32161, 4262, 4630, 518, 5956, 1010, 476, 8270, 611, 676, 536, 27570, 1010, 544, 2224, 547, 2206, 540, 519, 32716, 540, 269, 667, 633, 883, 1896, 540, 519, 1034, 7986, 4798, 538, 4630, 518, 781, 12473, 6648, 1412, 1492, 476, 8270, 611, 262, 4798, 538, 519, 476, 8270, 611, 7688, 513, 577, 14792, 262, 3993, 267, 561, 14613, 519, 4332, 540, 1200, 5067, 269, 12429, 543, 5067, 3347, 538, 519, 27356, 8124, 676, 4630, 518, 543, 621, 568, 998, 3845, 602, 789, 1020, 25621, 543, 2648, 585, 835, 1776, 538, 968, 1492, 476, 8270, 611, 563, 14367, 4651, 543, 3993, 561, 13774, 1117, 1281, 711, 1118, 1010, 2648, 585, 713, 568, 4630, 518, 779, 9837, 2429, 519, 476, 8270, 611, 972, 568, 519, 7368, 2856, 269, 1280, 1250, 3993, 519, 26385, 519, 15831, 540, 8988, 3952, 13137, 2938, 538, 19967, 1686, 1134, 1310, 4630, 518, 781, 476, 8270, 611, 519, 2648, 1650, 540, 7708, 559, 639, 267, 5067, 540, 4622, 17028, 600, 540, 269, 10261, 948, 609, 1433, 476, 276, 538, 4630, 518, 781, 519, 476, 8270, 611, 32646, 6244, 517, 568, 18410, 639, 11313, 5067, 543, 568, 711, 535, 730, 547, 581, 7166, 676, 519, 476, 8270, 611, 1433, 476, 276, 1396, 577, 11301, 26270, 322, 267, 694, 4697, 476, 1704, 269, 5192, 606, 2626, 585, 1412, 6343, 568, 519, 1909, 540, 12556, 538, 4630, 518, 781, 476, 8270, 611, 543, 13171, 320, 18896, 781, 3209, 22101, 18588, 267, 2523, 609, 2463, 547, 602, 2021, 616, 535, 730, 547, 581, 563, 306, 517, 540, 513, 10143, 3993, 267, 519, 26385, 27356, 22040, 1107, 4622, 540, 13137, 2938, 538, 19967, 1686, 1134, 1310, 4630, 518, 781, 476, 8270, 611, 519, 2648, 1650, 540, 7708, 559, 639, 267, 5067, 540, 4622, 563, 1607, 3992, 12116, 519, 1909, 540, 12556, 538, 4630, 518, 781, 15234, 8270, 611, 5257, 519, 19967, 2427, 568, 535, 730, 547, 3094, 519, 2112, 519, 1523, 540, 12556, 538, 519, 476, 8270, 611, 568, 513, 1950, 835, 269, 634, 476, 8270, 611, 267, 1433, 1775, 267, 3515, 476, 272, 268, 1428, 4630, 518, 30270, 281, 689, 519, 476, 8270, 611, 267, 3515, 476, 272, 268, 1704, 267, 676, 4630, 518, 547, 7247, 519, 22378, 333, 995, 3993, 3976, 30491, 281, 630, 1492, 12627, 12772, 269, 13028, 4630, 518, 4583, 543, 4686, 10530, 1272, 3332, 2648, 14084, 18495, 4108, 11299, 544, 2224, 1928, 3237, 24960, 344, 17192, 30270, 476, 8270, 611, 540, 4630, 518, 5608, 533, 23056, 269, 634, 476, 8270, 611, 281, 1433, 476, 736, 6648, 676, 4630, 518, 910, 6648, 25433, 2367, 2161, 602, 596, 616, 5067, 547, 15626, 890, 548, 639, 267, 543, 602, 707, 3993, 568, 8292, 827, 519, 476, 8270, 611, 281, 1433, 476, 736, 676, 4630, 518, 269, 25264, 910, 519, 476, 8270, 611, 281, 1433, 476, 1460, 540, 513, 1007, 616, 519, 14930, 540, 693, 516, 639, 519, 1152, 2367, 593, 3618, 945, 2648, 741, 2021, 536, 3150, 1815, 1117, 1010, 5067, 267, 607, 1010, 3993, 543, 19946, 1705, 1932, 563, 763, 1909, 540, 2021, 538, 4630, 518, 779, 476, 8270, 611, 1557, 607, 513, 15962, 3993, 267, 1352, 568, 7255, 585, 1200, 5067, 543, 1010, 513, 6476, 540, 519, 1909, 540, 2021, 538, 4630, 518, 779, 27356, 8124, 269, 29331, 543, 3425, 538, 519, 476, 8270, 611, 1557, 609, 3425, 799, 1331, 2648, 267, 585, 333, 1709, 267, 543, 3993, 610, 4651, 5601, 538, 519, 476, 8270, 611, 676, 4630, 518, 519, 7819, 6561, 269, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 265, 296, 267, 2427, 28747, 265, 297, 267, 2427, 28747, 265, 298, 454, 453, 453, 6572, 263, 11034, 318, 4812, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 737, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 795, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 1341, 737, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 1775, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 737, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 1341, 795, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 1341, 737, 994, 453, 19677, 269, 3200, 1182, 815, 14622, 454, 453, 19677, 6155, 3863, 318, 4650, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 278, 267, 476, 277, 267, 476, 276, 267, 476, 275, 267, 476, 278, 267, 476, 277, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 275, 267, 476, 274, 6540, 3698, 1629, 334, 263, 3333, 16747, 2187, 22592, 2721, 318, 3333, 16747, 10031, 453, 453, 31653, 8807, 650, 9230, 14838, 267, 14838, 267, 14838, 4917, 453, 453, 314, 27729, 6155, 3863, 4433, 10547, 267, 3337, 269, 1952, 569, 7272, 619, 8826, 6262, 600, 5028, 29223, 267, 10066, 267, 21951, 29223, 4297, 585, 3337, 538, 5546, 2639, 453, 453, 6853, 18524, 269, 5891, 269, 4148, 760, 10797, 22592, 1820, 318, 263, 11415, 2187, 453, 453, 338, 903, 14714, 323, 719, 22182, 30415, 1341, 27719, 337, 5602, 453, 453, 338, 903, 14714, 323, 719, 269, 4148, 2313, 10797, 453, 9471, 815, 594, 1341, 808, 1341, 918, 454, 453, 9471, 2608, 284, 476, 272, 32220, 11274, 263, 9471, 994, 453, 31748, 5028, 29223, 815, 21070, 263, 7742, 267, 476, 271, 267, 476, 271, 994, 453, 1613, 518, 29223, 815, 21070, 263, 5611, 271, 267, 476, 271, 267, 476, 271, 994, 453, 528, 1304, 566, 815, 21070, 263, 271, 267, 476, 271, 267, 476, 271, 2020, 453, 339, 787, 912, 453, 13537, 834, 20779, 21749, 4657, 8254, 10066, 4799, 453, 22610, 1775, 267, 7852, 538, 26246, 9230, 296, 267, 808, 267, 918, 15892, 4848, 453, 21163, 815, 14039, 270, 1911, 265, 9471, 454, 4848, 453, 9471, 12173, 815, 834, 343, 257, 952, 7852, 2652, 594, 3116, 9497, 344, 257, 952, 7852, 2652, 808, 3116, 834, 345, 5602, 4848, 22610, 9041, 538, 2039, 263, 1220, 2187, 15235, 453, 11034, 815, 942, 17085, 1442, 4590, 15235, 453, 9526, 318, 3333, 16747, 4590, 15235, 453, 528, 1304, 566, 6834, 1900, 454, 15235, 453, 19592, 4181, 815, 630, 528, 1304, 566, 5157, 316, 260, 263, 273, 265, 7032, 4297, 265, 5197, 270, 7032, 1948, 935, 3200, 32494, 9847, 5232, 454, 15235, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 15235, 453, 916, 326, 815, 834, 20779, 21749, 4939, 338, 7852, 10066, 2242, 281, 4939, 274, 269, 273, 325, 5232, 4831, 12641, 1442, 3772, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 15235, 13537, 318, 263, 916, 326, 4939, 630, 9471, 12173, 267, 5232, 267, 535, 1186, 4917, 4848, 13537, 834, 4840, 453, 13537, 834, 20779, 21749, 1689, 538, 8254, 3845, 689, 4099, 540, 16879, 4799, 453, 13537, 834, 8698, 518, 3845, 689, 8254, 568, 3586, 4799, 453, 22610, 9041, 538, 2039, 263, 1911, 271, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 31748, 5028, 29223, 6834, 594, 454, 4848, 453, 1613, 518, 29223, 6834, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 22610, 9041, 538, 2039, 263, 1911, 271, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 31748, 5028, 29223, 20699, 594, 454, 4848, 453, 1613, 518, 29223, 20699, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 13537, 834, 4840, 453, 13537, 834, 20779, 21749, 1689, 538, 21951, 3845, 689, 8254, 1448, 4799, 453, 13537, 834, 23173, 5028, 2990, 13978, 3586, 4799, 453, 22610, 9041, 538, 2039, 263, 4335, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 1613, 518, 29223, 20699, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 22610, 9041, 538, 2039, 263, 4335, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 1613, 518, 29223, 6834, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 21955, 6206, 4580, 11328, 4533, 912, 453, 453, 10139, 454, 453, 325, 3373, 912, 453, 453, 338, 903, 14714, 323, 719, 22182, 19629, 333, 5602, 453, 453, 6853, 18524, 269, 10181, 10797, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 453, 5814, 4351, 454, 453, 3333, 16747, 815, 11713, 22610, 1775, 538, 2039, 263, 1839, 2187, 453, 453, 343, 815, 4351, 20120, 9792, 8987, 25002, 16427, 272, 994, 453, 453, 344, 815, 4351, 20120, 9792, 8987, 1220, 267, 1220, 994, 453, 453, 345, 815, 4351, 20120, 9792, 8987, 1220, 267, 1220, 994, 453, 453, 2515, 28747, 815, 476, 2004, 454, 453, 14851, 1775, 261, 272, 912, 4848, 453, 3333, 16747, 6910, 24867, 25523, 28353, 8443, 343, 11971, 267, 345, 3910, 2427, 28747, 4297, 28768, 453, 28432, 912, 4848, 453, 3333, 16747, 6910, 18154, 4209, 8443, 343, 11971, 267, 345, 3910, 2427, 28747, 11723, 453, 6853, 18524, 269, 8181, 4590, 453, 21653, 815, 476, 8517, 267, 476, 8517, 454, 453, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 4433, 1125, 994, 453, 12047, 334, 263, 3333, 16747, 994, 453, 0, 5814, 26417, 1477, 5814, 556, 1477, 5814, 5299, 1477, 5228, 621, 1068, 8962, 1104, 568, 331, 823, 267, 476, 714, 760, 1477, 5228, 10070, 1104, 22388, 1477, 5228, 5569, 1104, 18685, 1477, 5228, 11346, 1104, 6221, 1326, 614, 5897, 258, 1607, 1599, 12043, 519, 3758, 547, 581, 513, 1592, 540, 12673, 3079, 540, 922, 3044, 3898, 269, 901, 2337, 609, 9427, 14047, 566, 538, 2663, 2694, 540, 519, 3009, 1477, 3698, 1205, 17572, 31526, 8029, 453, 6050, 815, 1496, 15947, 22610, 1899, 538, 3758, 6769, 453, 453, 6050, 6910, 263, 1467, 3418, 16596, 3515, 1477, 258, 1607, 1599, 12523, 519, 1297, 540, 4845, 10678, 18685, 7436, 538, 1931, 547, 3313, 519, 1297, 540, 5220, 538, 519, 3758, 23228, 3698, 1205, 306, 550, 1878, 31526, 299, 1149, 8029, 453, 12248, 306, 550, 1878, 815, 476, 271, 1477, 22610, 1899, 538, 3758, 299, 1149, 6769, 453, 453, 12248, 306, 550, 1878, 6834, 1899, 29644, 263, 2668, 834, 264, 1341, 1899, 29644, 2891, 256, 834, 264, 1341, 1899, 29644, 2891, 286, 834, 3418, 13537, 2891, 2467, 616, 14307, 1293, 306, 550, 1878, 267, 834, 338, 550, 1878, 1701, 3418, 258, 1607, 1599, 11887, 950, 834, 1492, 257, 610, 834, 763, 257, 5956, 513, 4845, 676, 10992, 585, 782, 8320, 538, 799, 513, 18685, 1665, 568, 4553, 676, 602, 2262, 23228, 3698, 4845, 9359, 31526, 299, 1149, 8029, 453, 1492, 15575, 815, 476, 271, 1477, 22610, 1899, 538, 3758, 299, 1149, 6769, 453, 453, 1492, 15575, 6834, 1899, 29644, 263, 2668, 634, 8442, 1341, 1899, 29644, 263, 2668, 519, 8442, 1341, 1899, 29644, 2891, 256, 634, 8442, 1341, 1899, 29644, 2891, 256, 519, 8442, 1341, 1899, 29644, 2891, 286, 634, 8442, 1341, 1899, 29644, 2891, 256, 519, 14744, 13537, 2891, 2467, 616, 14307, 519, 15575, 267, 834, 338, 550, 25366, 806, 602, 2253, 609, 1412, 1492, 262, 1701, 10142, 258, 1607, 1599, 3096, 2834, 7215, 547, 1265, 782, 1913, 602, 2408, 1985, 547, 835, 1776, 1210, 476, 714, 760, 543, 568, 331, 823, 547, 1118, 8913, 1255, 540, 891, 1913, 269, 3973, 621, 11887, 519, 4908, 693, 799, 1142, 540, 519, 8424, 2049, 23228, 3698, 1293, 303, 4202, 31526, 299, 1149, 8029, 453, 301, 815, 476, 272, 1477, 453, 6919, 815, 556, 26098, 718, 19629, 342, 266, 2580, 1193, 31526, 299, 1149, 17903, 453, 335, 4202, 815, 22388, 263, 714, 760, 263, 6919, 267, 568, 331, 823, 263, 6919, 267, 476, 272, 267, 7183, 4297, 3418, 453, 9008, 318, 6919, 815, 15044, 9638, 4202, 269, 3438, 19477, 19572, 1883, 284, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 264, 11468, 301, 15947, 22610, 2262, 267, 4908, 538, 1283, 318, 6919, 6769, 453, 13537, 2891, 260, 338, 281, 4939, 323, 257, 4939, 630, 5320, 267, 4908, 264, 10142, 258, 1607, 12523, 519, 2698, 1297, 540, 1913, 538, 519, 3758, 1310, 9427, 18685, 609, 519, 1205, 24552, 3890, 1599, 23228, 3698, 2262, 15575, 31526, 299, 1149, 8029, 825, 562, 6919, 815, 7003, 263, 1326, 24552, 31526, 299, 1149, 4297, 453, 1477, 825, 2132, 562, 6919, 5897, 258, 1607, 1599, 568, 1031, 547, 4894, 2027, 3197, 689, 1913, 23228, 3698, 4368, 30415, 8029, 453, 2908, 11415, 815, 834, 29177, 14851, 5569, 314, 271, 316, 2652, 27719, 262, 257, 6769, 453, 453, 11415, 815, 5569, 314, 272, 281, 15947, 14851, 5569, 15631, 272, 316, 2652, 27719, 262, 257, 6769, 453, 453, 11415, 815, 5569, 11468, 910, 272, 15947, 22610, 524, 538, 5569, 6769, 453, 14851, 711, 524, 538, 27719, 2668, 286, 26514, 3890, 29755, 265, 282, 281, 257, 6769, 4848, 453, 2908, 11415, 6834, 524, 1477, 16596, 1007, 11415, 1477, 258, 1607, 1599, 12043, 519, 1913, 1210, 4368, 3890, 547, 4894, 782, 2027, 3197, 543, 18949, 519, 5569, 269, 898, 849, 2306, 621, 27608, 543, 18788, 8320, 540, 834, 734, 257, 602, 2408, 538, 519, 1257, 547, 5094, 1079, 1913, 23228, 3698, 1205, 24552, 31526, 299, 1149, 8029, 453, 2908, 6050, 815, 1496, 15947, 22610, 1899, 538, 3758, 299, 1149, 6769, 453, 453, 2908, 6050, 6910, 263, 1467, 18622, 2897, 2891, 734, 2580, 834, 834, 17903, 453, 6919, 815, 1496, 15947, 22610, 1899, 538, 1007, 6050, 6769, 453, 453, 6919, 6834, 1496, 25785, 27182, 264, 585, 2262, 538, 1899, 31573, 14061, 20889, 3890, 15947, 16596, 1913, 5897, 258, 1607, 1599, 12204, 1142, 2262, 676, 4908, 540, 5920, 543, 5932, 513, 26417, 3758, 609, 519, 6871, 540, 1142, 2262, 543, 4908, 540, 12136, 269, 898, 849, 6589, 585, 18685, 1210, 519, 4368, 3890, 1599, 543, 2306, 782, 519, 1913, 27608, 547, 2057, 5918, 27289, 23228, 3698, 1293, 24552, 31526, 299, 1149, 8029, 825, 562, 6919, 815, 2262, 15575, 31526, 299, 1149, 264, 453, 825, 1477, 825, 1913, 815, 15079, 1477, 825, 585, 1899, 538, 3758, 299, 1149, 281, 453, 1477, 1038, 585, 530, 538, 4786, 6600, 1460, 267, 1467, 31573, 14061, 20889, 3890, 8029, 2018, 1913, 314, 342, 316, 815, 1913, 10947, 26028, 267, 476, 271, 264, 1341, 476, 272, 1477, 825, 15044, 24552, 815, 15044, 263, 6919, 269, 3438, 19477, 19572, 1883, 284, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 25011, 271, 281, 316, 453, 1477, 825, 1250, 12803, 815, 1930, 3488, 29798, 27406, 3299, 1412, 342, 20298, 825, 21389, 815, 26417, 9884, 31581, 30044, 12803, 3418, 825, 585, 530, 267, 524, 538, 15044, 24552, 6769, 453, 453, 704, 1417, 720, 815, 3898, 9230, 263, 322, 265, 272, 269, 271, 8358, 333, 6919, 1070 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 602, 3715, 513, 1753, 4063, 267, 2059, 609, 4358, 270, 2056, 4967, 540, 5283, 21288, 2934, 607, 596, 849, 2446, 269, 4033, 1919, 1522, 581, 799, 4967, 616, 5129, 593, 519, 2178, 20054, 267, 799, 4967, 616, 5129, 1034, 30326, 543, 585, 13074, 267, 543, 865, 593, 269, 1411, 1522, 849, 2015, 824, 2178, 4967, 538, 519, 7154, 630, 21865, 519, 10001, 543, 966, 264, 607, 1134, 607, 519, 1753, 4063, 780, 2026, 596, 2161, 267, 1498, 267, 621, 781, 711, 14553, 3989, 267, 543, 538, 930, 2665, 513, 5152, 8276, 601, 1328, 29265, 858, 270, 3369, 7241, 949, 711, 723, 513, 2582, 2312, 1753, 4063, 910, 610, 1079, 19700, 1522, 10990, 607, 547, 1018, 519, 1753, 4063, 568, 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 ]
[ 781, 1876, 454, 273, 269, 10787, 611, 599, 779, 1101, 1876, 540, 13590, 15632, 454, 274, 269, 10787, 611, 599, 781, 2034, 1876, 540, 13590, 15632, 454, 275, 269, 18307, 2719, 781, 1318, 11804, 4341, 692, 29682, 476, 274, 2433, 10787, 611, 599, 781, 2034, 1876, 540, 13590, 15632, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 280, 26346, 8827, 692, 293, 541, 611, 599, 779, 1101, 1876, 540, 13590, 15632, 2829, 602, 8164, 513, 18364, 568, 5116, 538, 513, 8795, 6419, 2361, 267, 900, 325, 568, 13251, 799, 568, 1572, 13251, 900, 325, 269, 1403, 519, 18364, 5547, 568, 6806, 267, 519, 1699, 786, 849, 32694, 998, 519, 5547, 543, 713, 1699, 568, 1572, 13251, 1699, 780, 293, 541, 611, 599, 781, 2034, 1876, 540, 13590, 15632, 2829, 602, 519, 9588, 540, 900, 325, 13251, 538, 519, 16509, 568, 3160, 547, 519, 2557, 540, 1689, 540, 13441, 602, 3095, 1137, 609, 519, 16509, 269, 634, 13441, 3095, 720, 540, 519, 16509, 568, 519, 1587, 540, 1297, 540, 7140, 538, 519, 16509, 543, 13441, 2404, 609, 519, 16509, 780, 2330, 292, 815, 715, 21702, 13997, 323, 315, 12978, 7684, 2410, 346, 19049, 3686, 9681, 299, 20044, 781, 1876, 281, 1879, 513, 6453, 568, 6383, 676, 513, 1689, 538, 6419, 13441, 2687, 547, 10787, 611, 599, 781, 1876, 267, 519, 8701, 640, 540, 519, 13251, 6453, 568, 971, 602, 621, 7472, 513, 1699, 4171, 6419, 2361, 1727, 4680, 519, 1689, 799, 7472, 621, 780, 8256, 18790, 700, 20044, 781, 1876, 10484, 2330, 292, 815, 910, 715, 21702, 13997, 323, 315, 12978, 7684, 2410, 346, 19049, 3686, 9681, 293, 548, 2719, 781, 9406, 11804, 14329, 2982, 519, 4287, 540, 13251, 1699, 950, 513, 18364, 7923, 547, 513, 5547, 7575, 538, 513, 6419, 2361, 269, 898, 666, 581, 1031, 547, 3313, 519, 4287, 540, 1699, 538, 513, 11718, 781, 2842, 902, 780, 2026, 3254, 593, 519, 1657, 4137, 267, 952, 519, 14853, 267, 519, 2062, 325, 5424, 267, 543, 519, 1647, 9416, 540, 519, 1318, 1688, 616, 18761, 693, 1318, 7285, 547, 835, 1776, 609, 519, 14853, 11329, 538, 519, 4287, 540, 5163, 540, 513, 18364, 3448, 547, 513, 6419, 2361, 543, 519, 2062, 325, 5424, 538, 519, 4287, 540, 519, 2361, 267, 1287, 519, 1647, 9416, 786, 1448, 538, 519, 4287, 540, 519, 13251, 30402, 12067, 3196, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1015, 692, 293, 12661, 902, 2451, 1688, 4341, 1281, 711, 5815, 692, 272, 269, 634, 4287, 540, 1699, 2095, 538, 519, 18364, 454, 273, 269, 634, 6453, 538, 519, 18364, 454, 274, 269, 634, 4287, 540, 519, 6419, 13441, 454, 275, 269, 634, 4287, 5163, 540, 519, 18364, 692, 29682, 476, 273, 2433, 634, 6453, 538, 519, 18364, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1015, 26346, 8827, 692, 12640, 6866, 513, 1699, 8876, 18364, 568, 5116, 538, 513, 6419, 2361, 267, 519, 18364, 2833, 513, 3196, 799, 568, 13902, 547, 1312, 519, 6419, 2361, 543, 519, 4287, 540, 519, 1699, 780, 6097, 547, 18307, 2719, 781, 2451, 11804, 4341, 267, 952, 519, 14853, 267, 2062, 325, 5424, 543, 1647, 9416, 540, 519, 2451, 1688, 616, 21401, 547, 581, 13902, 547, 1142, 824, 607, 3254, 538, 519, 4137, 267, 543, 952, 519, 2062, 325, 5424, 4564, 519, 4287, 540, 519, 6419, 2361, 267, 519, 1647, 9416, 4564, 519, 4287, 540, 1699, 267, 1287, 519, 14853, 4564, 519, 4287, 540, 3196, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1556, 692, 763, 23483, 540, 19385, 766, 568, 1572, 30269, 780, 272, 269, 1234, 716, 766, 454, 273, 269, 18650, 454, 274, 269, 1473, 10631, 766, 454, 275, 269, 18983, 324, 766, 692, 29682, 476, 275, 2433, 18983, 324, 766, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1556, 26346, 8827, 692, 763, 2953, 2626, 568, 4781, 476, 275, 454, 3519, 1061, 1384, 1892, 4039, 10631, 766, 568, 519, 3959, 540, 513, 6419, 5547, 15852, 519, 8574, 540, 6419, 13441, 3515, 563, 1892, 2755, 18983, 324, 766, 568, 519, 23483, 540, 19385, 766, 543, 568, 513, 2268, 540, 6419, 13441, 585, 513, 1297, 540, 1699, 7140, 538, 513, 6419, 5547, 563, 1892, 18983, 324, 766, 815, 13441, 270, 12613, 293, 692, 2330, 303, 1069, 324, 766, 815, 1422, 2765, 3189, 12978, 25452, 13997, 293, 8548, 3686, 15732, 2330, 303, 1069, 324, 766, 815, 1422, 2765, 13997, 3189, 14153, 9041, 271, 7346, 14153, 9041, 337, 348, 320, 12453, 331, 15732, 1892, 634, 16038, 1770, 540, 6419, 15449, 766, 568, 1357, 619, 829, 18041, 699, 2389, 1248, 799, 568, 670, 630, 1156, 787, 1916, 1892, 18983, 324, 766, 568, 519, 1109, 1889, 5501, 540, 519, 8897, 609, 799, 13441, 666, 581, 1305, 909, 538, 513, 1570, 563, 1892, 769, 824, 1913, 267, 621, 3800, 519, 9588, 540, 519, 13441, 585, 519, 1297, 540, 7140, 538, 606, 3167, 5547, 563, 1892, 634, 15449, 766, 568, 26922, 547, 519, 2932, 766, 538, 606, 5122, 5547, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1321, 692, 6097, 547, 519, 1318, 26370, 1351, 802, 920, 342, 4341, 267, 519, 4287, 540, 519, 6419, 2361, 568, 8612, 676, 799, 540, 519, 1739, 2496, 272, 269, 769, 519, 1482, 4287, 607, 519, 3350, 540, 519, 17684, 563, 273, 269, 769, 519, 7299, 4287, 540, 10047, 540, 519, 17684, 563, 274, 269, 769, 519, 4287, 540, 3458, 9405, 538, 563, 275, 269, 769, 519, 4287, 540, 10047, 540, 519, 17684, 780, 29682, 476, 275, 2433, 769, 519, 4287, 540, 10047, 540, 519, 17684, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1321, 26346, 8827, 692, 763, 2953, 2626, 568, 4781, 476, 275, 692, 25321, 4753, 8976, 1384, 1892, 25080, 2361, 281, 634, 2230, 610, 3148, 1472, 519, 1109, 9690, 21307, 11538, 1109, 342, 790, 8276, 8221, 3167, 5279, 1109, 528, 1472, 519, 6419, 1570, 538, 799, 1109, 4403, 540, 11275, 1143, 1109, 4754, 581, 4810, 676, 824, 6419, 1570, 568, 1572, 1109, 332, 8568, 2361, 8276, 8568, 15632, 1109, 2421, 602, 1570, 270, 9690, 563, 1892, 898, 568, 20922, 676, 645, 543, 519, 16038, 1770, 540, 519, 6419, 2361, 568, 519, 512, 525, 5055, 630, 307, 1916, 1892, 1284, 917, 602, 950, 513, 1699, 568, 5293, 998, 513, 10647, 5911, 267, 513, 6419, 2361, 568, 3812, 1472, 621, 563, 1892, 634, 4287, 540, 519, 13251, 6419, 2361, 1472, 513, 2786, 1699, 21307, 11538, 5911, 666, 581, 5462, 676, 2676, 272, 269, 7665, 6202, 781, 1351, 802, 920, 342, 4341, 454, 273, 269, 9406, 11804, 14853, 4341, 692, 16655, 6202, 781, 1351, 802, 920, 342, 4341, 1384, 1892, 5994, 513, 1318, 26370, 1351, 802, 920, 342, 14084, 609, 922, 7852, 14626, 1938, 609, 519, 1699, 21307, 11538, 5911, 563, 1892, 898, 568, 1631, 29352, 971, 602, 621, 8441, 538, 519, 4287, 540, 519, 1699, 267, 1287, 519, 4287, 538, 799, 519, 17684, 29226, 3947, 519, 4287, 540, 519, 6419, 2361, 780, 1892, 1403, 649, 3180, 519, 1699, 21307, 11538, 18364, 538, 519, 1318, 1688, 971, 602, 519, 14853, 2798, 538, 519, 4287, 540, 519, 1699, 267, 1287, 519, 11263, 1958, 597, 743, 539, 519, 5911, 538, 519, 4287, 540, 519, 6419, 2361, 563, 1892, 692, 1892, 1284, 917, 602, 519, 1109, 323, 3925, 540, 519, 13251, 6419, 2361, 1472, 513, 2786, 1699, 21307, 11538, 5911, 1109, 4754, 581, 5462, 676, 2676, 272, 269, 7665, 6202, 781, 1351, 802, 920, 342, 4341, 454, 273, 269, 9406, 11804, 14853, 4341, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1724, 692, 7617, 7274, 568, 6719, 676, 2062, 325, 5424, 538, 18307, 2719, 779, 2451, 1688, 4341, 2496, 272, 269, 634, 4287, 540, 3196, 593, 519, 18364, 454, 273, 269, 634, 4287, 540, 519, 1699, 454, 274, 269, 634, 4287, 540, 519, 3167, 2361, 454, 275, 269, 634, 4287, 540, 519, 2361, 13441, 692, 29682, 476, 275, 2433, 634, 4287, 540, 519, 2361, 13441, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1724, 26346, 8827, 692, 763, 2953, 2626, 568, 4781, 476, 275, 780, 15008, 1384, 1892, 24269, 513, 1699, 21307, 11538, 18364, 568, 5116, 538, 513, 6419, 2361, 267, 519, 18364, 2833, 513, 3196, 602, 568, 13902, 547, 1312, 519, 6419, 2361, 543, 519, 4287, 540, 519, 1699, 563, 1892, 4340, 547, 18307, 2719, 781, 2451, 11804, 4341, 267, 952, 519, 14853, 267, 2062, 325, 5424, 267, 543, 1647, 9416, 540, 519, 2451, 1688, 616, 21401, 547, 581, 13902, 547, 1142, 824, 607, 3254, 538, 519, 4137, 267, 543, 952, 519, 2062, 325, 5424, 4564, 519, 4287, 540, 519, 6419, 2361, 8276, 8568, 13441, 267, 519, 1647, 9416, 4564, 519, 4287, 540, 519, 1699, 267, 1287, 519, 14853, 4564, 519, 4287, 540, 519, 3196, 780, 324, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1691, 692, 10521, 1699, 8876, 26423, 14084, 6252, 547, 1142, 824, 616, 11851, 532, 513, 3196, 540, 16007, 593, 1142, 824, 269, 634, 14768, 616, 692, 272, 269, 8899, 543, 8795, 454, 273, 269, 1164, 454, 274, 269, 538, 6587, 4287, 454, 275, 269, 538, 519, 1482, 4287, 692, 29682, 476, 275, 2433, 538, 519, 1482, 4287, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1691, 26346, 8827, 692, 25321, 4753, 8976, 1384, 300, 8568, 2361, 1384, 1892, 634, 1109, 11898, 610, 3148, 1109, 19925, 519, 1109, 9690, 21307, 11538, 1109, 342, 790, 8276, 8221, 3167, 5279, 1109, 528, 1472, 519, 6419, 1570, 1109, 514, 799, 1109, 4403, 540, 11275, 1143, 1109, 4754, 581, 1109, 23024, 27624, 1109, 2421, 824, 1109, 332, 8568, 1570, 28812, 1572, 607, 1109, 332, 8568, 2361, 8276, 8568, 15632, 1109, 2421, 602, 1570, 270, 9690, 563, 1892, 898, 568, 20922, 676, 645, 563, 1892, 634, 1109, 332, 8568, 3196, 829, 1770, 3259, 1109, 24992, 1109, 18314, 6252, 12904, 28812, 2016, 676, 16963, 11377, 23976, 1422, 2765, 346, 293, 2410, 331, 348, 815, 1422, 2765, 13997, 3189, 14153, 9041, 334, 3686, 2410, 346, 273, 19570, 476, 14990, 2765, 13997, 273, 346, 296, 318, 272, 2410, 296, 318, 273, 3686, 2410, 323, 15732, 8489, 13179, 271, 1109, 284, 11863, 339, 2032, 540, 1863, 2230, 267, 594, 272, 1109, 284, 1699, 538, 513, 1101, 5911, 267, 594, 273, 1109, 284, 1699, 538, 513, 2034, 5911, 28504, 815, 3845, 1063, 1079, 12904, 267, 543, 561, 815, 3259, 540, 1699, 21307, 11538, 5911, 780, 13052, 303, 6369, 2793, 3582, 281, 25991, 692, 1892, 634, 1109, 332, 8568, 3196, 829, 1770, 3259, 1109, 24992, 1109, 18314, 6252, 12904, 28812, 2016, 676, 16963, 11377, 23976, 1422, 2765, 346, 293, 2410, 331, 348, 815, 1422, 2765, 13997, 3189, 14153, 9041, 334, 3686, 2410, 346, 273, 19570, 476, 14990, 2765, 13997, 273, 346, 296, 318, 272, 2410, 296, 318, 273, 3686, 2410, 323, 15732, 1892, 1403, 519, 18364, 1109, 322, 1551, 625, 1109, 1492, 1109, 9690, 538, 519, 1482, 4287, 267, 1287, 519, 1109, 4403, 1063, 873, 786, 581, 10694, 454, 1892, 1403, 519, 18364, 1109, 322, 1551, 625, 1109, 1492, 1109, 9690, 538, 519, 6587, 4287, 267, 1287, 519, 1109, 4403, 1063, 873, 786, 581, 1065, 14601, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1428, 692, 7617, 835, 540, 519, 1739, 568, 513, 7542, 11424, 1570, 2496, 272, 269, 19162, 601, 454, 274, 269, 1773, 11294, 636, 454, 275, 269, 21019, 692, 29682, 476, 272, 2433, 19162, 601, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1428, 26346, 8827, 692, 293, 518, 11424, 15240, 1734, 281, 1109, 763, 6878, 799, 616, 9244, 11275, 1242, 950, 5116, 538, 606, 5007, 6419, 2361, 1109, 514, 519, 1482, 4287, 547, 519, 4294, 2361, 616, 1572, 7542, 11424, 6878, 780, 7078, 281, 1109, 27860, 267, 19695, 267, 524, 28240, 692, 19187, 2906, 1384, 1892, 1452, 616, 6353, 676, 6252, 12972, 540, 6419, 16702, 3421, 454, 1892, 1452, 6878, 616, 9244, 13631, 676, 513, 11275, 454, 1892, 898, 10953, 2178, 11275, 1436, 538, 519, 4287, 540, 519, 4294, 6419, 2361, 454, 1892, 1635, 9427, 11275, 1944, 19429, 267, 621, 1281, 711, 6336, 922, 11275, 1436, 454, 1892, 25080, 18687, 568, 1454, 3152, 982, 476, 272, 454, 1892, 28731, 27978, 568, 1454, 3152, 982, 476, 272, 454, 1892, 25080, 27978, 568, 1454, 3677, 3379, 547, 1863, 2230, 692, 7698, 25080, 12246, 1061, 2225, 630, 311, 332, 30692, 264, 28731, 18983, 324, 1464, 630, 298, 332, 1109, 284, 476, 272, 1341, 2473, 332, 264, 25080, 18983, 324, 1464, 630, 19031, 332, 815, 1109, 298, 332, 19031, 271, 264, 18924, 8568, 910, 1015, 268, 276, 1109, 1729, 910, 1015, 268, 280, 2999, 476, 272, 32755 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 30747, 569, 4283, 21189, 3877, 2630, 281, 20257, 17569, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 20257, 17569, 10797, 825, 2518, 9411, 318, 639, 20713, 454, 825, 2518, 9411, 7272, 817, 5320, 692, 825, 9411, 318, 639, 20713, 815, 21642, 309, 541, 4590, 825, 9411, 7272, 817, 5320, 815, 21642, 309, 541, 10797, 825, 1948, 2518, 27024, 318, 18782, 272, 454, 825, 1948, 2518, 10957, 318, 18782, 272, 692, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 5825, 20713, 2608, 834, 1040, 17569, 4590, 825, 9411, 318, 639, 20713, 815, 28678, 263, 30720, 273, 267, 1257, 19702, 762, 815, 9411, 318, 639, 20713, 994, 825, 9411, 318, 639, 20713, 4877, 871, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 20257, 17569, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 27879, 5320, 2608, 834, 1040, 17569, 4590, 825, 9411, 7272, 817, 5320, 815, 28678, 263, 30720, 273, 267, 1257, 19702, 762, 815, 9411, 7272, 817, 5320, 994, 825, 9411, 7272, 817, 5320, 4877, 871, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 20257, 17569, 4590, 825, 29502, 263, 30720, 273, 267, 1257, 815, 834, 19868, 514, 2580, 8700, 815, 476, 1015, 267, 4463, 815, 476, 272, 267, 4971, 815, 21189, 318, 591, 2305, 1040, 17569, 30800, 3698, 21189, 318, 591, 2305, 10031, 825, 27024, 272, 815, 9411, 318, 639, 20713, 10947, 4590, 825, 10957, 272, 815, 9411, 7272, 817, 5320, 10947, 10797, 825, 21189, 318, 920, 323, 1113, 338, 815, 31460, 825, 609, 1930, 2891, 8421, 514, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 267, 1642, 574, 3438, 284, 22207, 5073, 1038, 585, 4737, 538, 5467, 912, 2018, 21189, 318, 920, 323, 1113, 338, 314, 992, 314, 271, 14963, 815, 4737, 314, 272, 6540, 825, 952, 27024, 272, 538, 21189, 318, 920, 323, 1113, 338, 912, 1038, 952, 21189, 318, 920, 323, 1113, 338, 314, 639, 20713, 272, 316, 2652, 10957, 272, 912, 2018, 2953, 318, 8421, 514, 4590, 1038, 3116, 912, 2018, 10957, 318, 4532, 8091, 4590, 825, 3116, 912, 1038, 10002, 318, 2254, 6958, 895, 10797, 3698, 2953, 318, 8421, 514, 10031, 825, 21189, 5334, 9231, 30800, 3698, 10957, 318, 4532, 8091, 10031, 825, 2518, 6885, 275, 454, 825, 6885, 275, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 275, 26644, 2891, 12528, 318, 15574, 5602, 825, 6885, 275, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 275, 267, 1257, 815, 834, 27879, 5320, 5549, 8091, 1701, 1040, 17569, 4590, 825, 29502, 263, 30720, 275, 267, 1257, 815, 834, 302, 14389, 1701, 267, 8700, 815, 476, 1015, 267, 4463, 815, 476, 272, 267, 4971, 815, 2673, 273, 1040, 17569, 10797, 3698, 10002, 318, 2254, 6958, 895, 10031, 825, 2518, 6885, 276, 454, 825, 6885, 276, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 276, 26644, 2891, 12528, 318, 15574, 5602, 825, 6885, 276, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 276, 267, 1257, 815, 834, 5825, 20713, 543, 10426, 5320, 711, 1336, 1701, 1040, 17569, 4590, 825, 29502, 263, 30720, 276, 267, 1257, 815, 834, 302, 14389, 1701, 267, 8700, 815, 476, 1015, 267, 4463, 815, 476, 272, 267, 4971, 815, 2673, 274, 1040, 17569, 10797, 3698, 2673, 273, 10031, 825, 6885, 275, 6155, 652, 5797, 10797, 3698, 2673, 274, 10031, 825, 6885, 276, 6155, 652, 5797, 10797, 3698, 21189, 5334, 9231, 10031, 825, 6885, 279, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 279, 26644, 2891, 27165, 6176, 5602, 825, 6885, 279, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 279, 267, 1257, 815, 834, 291, 1662, 4580, 20257, 17569, 4590, 825, 29502, 263, 30720, 279, 267, 1257, 815, 834, 8620, 20260, 2580, 4971, 815, 3355, 1125, 318, 4186, 847, 1040, 17569, 4590, 825, 29502, 263, 30720, 279, 267, 1257, 815, 834, 8698, 20260, 338, 2580, 4971, 815, 2070, 318, 4186, 847, 338, 1040, 17569, 10797, 692, 3698, 3355, 1125, 318, 4186, 847, 3890, 1384, 825, 2518, 23138, 12173, 454, 825, 23138, 12173, 815, 21642, 309, 541, 4590, 825, 2518, 2698, 318, 26920, 454, 825, 2698, 318, 26920, 815, 21642, 309, 541, 4590, 825, 2518, 4266, 454, 825, 4266, 815, 21642, 309, 541, 10797, 825, 2518, 6885, 280, 454, 825, 6885, 280, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 280, 26644, 2891, 27165, 6176, 5602, 825, 6885, 280, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 291, 1662, 4580, 20257, 17569, 10797, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 24246, 518, 8745, 20257, 17569, 4590, 825, 28678, 263, 30720, 280, 267, 1257, 19702, 762, 815, 23138, 12173, 1040, 17569, 4590, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 13707, 2549, 870, 20257, 17569, 4590, 825, 28678, 263, 30720, 280, 267, 1257, 19702, 762, 815, 2698, 318, 26920, 1040, 17569, 4590, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 14630, 20257, 17569, 4590, 825, 28678, 263, 30720, 280, 267, 1257, 19702, 762, 815, 4266, 1040, 17569, 4590, 825, 29502, 263, 30720, 280, 267, 1257, 815, 834, 8620, 2580, 4971, 815, 1711, 318, 4186, 847, 1040, 17569, 10797, 3698, 1711, 318, 4186, 847, 3890, 1384, 825, 6075, 318, 4186, 716, 4289, 815, 11713, 825, 4579, 16182, 4289, 815, 11713, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 267, 1642, 574, 3438, 284, 22207, 5073, 1038, 585, 4737, 538, 5467, 912, 2018, 6075, 318, 4186, 716, 4289, 6910, 21405, 994, 2018, 4579, 16182, 4289, 6910, 17301, 21405, 314, 271, 8079, 2020, 1038, 1007, 16182, 815, 3193, 263, 4186, 847, 16182, 4289, 264, 1341, 476, 272, 454, 1038, 521, 12173, 815, 9411, 318, 639, 20713, 10947, 4590, 1038, 6075, 318, 4186, 716, 4289, 6910, 8443, 2908, 16182, 267, 23138, 12173, 10947, 19572, 521, 12173, 267, 2698, 318, 26920, 10947, 19572, 2698, 318, 26920, 10947, 19572, 4266, 10947, 19572, 834, 514, 14814, 2580, 834, 2580, 834, 257, 7481, 825, 678, 325, 25379, 10797, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 342, 2580, 1007, 1467, 284, 5257, 264, 607, 530, 325, 912, 1038, 5856, 815, 26417, 9884, 31581, 26028, 325, 994, 1038, 5856, 9884, 31581, 3298, 6262, 2396, 518, 318, 4186, 716, 4289, 994, 825, 530, 325, 25379, 10797, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 6944, 847, 23095, 2580, 535, 326, 815, 834, 13582, 257, 2073, 325, 2632, 815, 9497, 5632, 756, 686, 2580, 476, 1556, 26895, 17569, 10797, 3698, 2070, 318, 4186, 847, 338, 10031, 825, 2518, 2012, 454, 825, 2012, 815, 9411, 318, 639, 20713, 10947, 4590, 825, 782, 318, 4186, 847, 338, 815, 11713, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 267, 1642, 574, 3438, 284, 22207, 5073, 1038, 585, 4737, 538, 5467, 912, 2018, 952, 4737, 314, 272, 316, 2652, 2012, 610, 4737, 314, 273, 316, 2652, 2012, 912, 3546, 782, 318, 4186, 847, 338, 6910, 21405, 2020, 825, 6885, 1015, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 1015, 26644, 2891, 14483, 20260, 338, 5602, 825, 6885, 1015, 269, 613, 5852, 2891, 4335, 343, 4335, 5602, 825, 22443, 263, 30720, 1015, 267, 1257, 815, 834, 14483, 20260, 338, 616, 607, 5205, 281, 20257, 17569, 4590, 825, 585, 3693, 538, 782, 318, 4186, 847, 338, 912, 1038, 22443, 263, 30720, 1015, 267, 1257, 815, 3693, 1040, 17569, 10797, 825, 29502, 263, 30720, 1015, 267, 1257, 815, 834, 31171, 20260, 2580, 4971, 815, 12575, 318, 4186, 847, 1040, 17569, 30800, 825, 1948, 1592, 26213, 27044, 263, 21715, 267, 834, 6944, 847, 9517, 1923, 16179, 518, 8745, 8587, 1422, 339, 29146, 1923, 590, 11839, 8745, 8587, 1422, 339, 29146, 1923, 11192, 2549, 870, 8587, 1422, 339, 29146, 1923, 590, 11839, 8745, 8587, 1422, 339, 29146, 1923, 7195, 600, 576, 2549, 870, 8587, 1422, 339, 29146, 1923, 11261, 8587, 1422, 339, 29146, 1923, 21073, 8587, 1422, 339, 29146, 1923, 31524, 7089, 8587, 1422, 339, 29146, 1923, 2961, 8175, 14826, 5602, 825, 1948, 1592, 26213, 27044, 263, 21715, 2437, 5785, 5785, 5785, 5785, 5785, 24801, 19203, 5602, 825, 1948, 1592, 26213, 27044, 263, 21715, 2437, 315, 333, 15419, 825, 1948, 585, 1775, 538, 2039, 12759, 263, 718, 318, 4186, 847, 338, 15892, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 263, 718, 318, 4186, 847, 338, 5157, 6012, 271, 28413, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1923, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 272, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 273, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 274, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 275, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 276, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 277, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 278, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 279, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 333, 15419, 825, 1948, 672, 8464, 815, 570, 330, 4590, 825, 1948, 672, 6003, 815, 22443, 4433, 13990, 267, 1257, 6889, 11947, 590, 13990, 2580, 13944, 815, 9497, 6635, 658, 2580, 1789, 26895, 28186, 21405, 815, 476, 271, 267, 9587, 3966, 815, 476, 274, 994, 825, 1948, 672, 1592, 26213, 284, 7956, 4433, 13990, 267, 12296, 815, 476, 2412, 994, 825, 1948, 672, 1592, 26213, 26942, 21405, 815, 476, 272, 267, 26383, 284, 476, 271, 267, 9587, 3966, 815, 476, 273, 994, 825, 1948, 672, 1397, 306, 13990, 815, 29502, 4433, 13990, 267, 1257, 815, 834, 17004, 8464, 2580, 12296, 815, 476, 1428, 267, 4971, 815, 1397, 1040, 28186, 21405, 815, 476, 275, 267, 6241, 815, 476, 271, 994, 825, 1948, 672, 2673, 3719, 2023, 815, 29502, 4433, 13990, 267, 1257, 815, 834, 5141, 846, 2580, 12296, 815, 476, 1428, 267, 4971, 815, 14827, 1040, 28186, 21405, 815, 476, 275, 267, 6241, 815, 476, 272, 2020, 825, 1948, 672, 8464, 6230, 664, 31467, 30800, 3698, 12575, 318, 4186, 847, 3890, 1384, 825, 2518, 524, 660, 4135, 16182, 454, 825, 524, 660, 4135, 16182, 815, 21642, 309, 541, 10797, 825, 6885, 1556, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 1556, 26644, 2891, 31171, 20260, 5602, 825, 6885, 1556, 269, 613, 5852, 2891, 4335, 343, 1911, 5602, 825, 22443, 263, 30720, 1556, 267, 1257, 815, 834, 8923, 4283, 519, 20260, 9517, 540, 519, 4579, 596, 6999, 547, 12575, 281, 20257, 17569, 4590, 825, 28678, 263, 30720, 1556, 267, 1257, 19702, 762, 815, 524, 660, 4135, 16182, 1040, 17569, 4590, 825, 29502, 263, 30720, 1556, 267, 1257, 815, 834, 31171, 2580, 4971, 815, 9337, 318, 4186, 847, 1040, 17569, 10797, 3698, 9337, 318, 4186, 847, 10031, 825, 2012, 815, 9411, 318, 639, 20713, 10947, 4590, 825, 782, 318, 4186, 847, 338, 9078, 560, 815, 11713, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 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 ]
[ 666, 581, 1031, 607, 5521, 15969, 267, 9033, 15969, 267, 10786, 15969, 267, 562, 26517, 1938, 267, 2030, 610, 3662, 2208, 22124, 267, 2030, 7794, 619, 267, 6915, 652, 574, 592, 1218, 267, 6915, 325, 23459, 9088, 543, 811, 563, 289, 11340, 4382, 1938, 666, 581, 968, 332, 15412, 10118, 892, 1759, 593, 2713, 7103, 971, 607, 4551, 267, 13271, 267, 8290, 543, 642, 10098, 1749, 610, 968, 332, 659, 13681, 10118, 892, 1759, 593, 12550, 13060, 267, 610, 968, 15318, 19680, 338, 2108, 1759, 593, 2030, 21555, 267, 610, 968, 6798, 12950, 338, 2223, 799, 949, 2270, 32176, 668, 2158, 543, 824, 10859, 12950, 338, 267, 607, 1134, 607, 824, 2067, 2472, 971, 607, 10399, 267, 6886, 543, 11476, 563, 289, 11340, 4382, 1938, 723, 2938, 4028, 2208, 538, 5607, 543, 568, 19788, 1719, 607, 835, 540, 519, 3056, 3681, 538, 7693, 4027, 3292, 269, 1717, 267, 519, 3119, 21677, 547, 891, 2472, 568, 519, 9431, 1184, 585, 18465, 4382, 728, 2472, 538, 1114, 7489, 2477, 269, 634, 1292, 9777, 725, 585, 18465, 4382, 728, 14261, 538, 6789, 292, 3198, 2477, 616, 2356, 2147, 547, 519, 3114, 23561, 9777, 725, 269, 1809, 519, 4170, 593, 1239, 543, 2199, 8062, 616, 1114, 538, 1142, 2197, 563, 289, 11340, 4382, 1938, 616, 849, 1634, 607, 6211, 338, 267, 6211, 13851, 267, 2067, 13851, 267, 1979, 665, 2632, 1503, 8069, 610, 23020, 13851, 269, 4014, 18465, 4382, 1938, 616, 1031, 11451, 267, 519, 6042, 543, 8128, 3238, 538, 519, 14261, 3157, 4268, 693, 513, 6237, 610, 3084, 1377, 5001, 269, 769, 17289, 267, 27386, 338, 2887, 896, 21145, 476, 272, 610, 476, 273, 540, 519, 3114, 7939, 267, 4470, 593, 519, 19857, 1031, 267, 543, 538, 824, 7489, 2477, 267, 18465, 4382, 1938, 616, 3769, 538, 519, 7121, 540, 2027, 13851, 607, 968, 6798, 12950, 13851, 1848, 769, 2342, 267, 789, 666, 581, 14931, 607, 989, 10635, 8707, 338, 896, 19938, 10566, 476, 8099, 278, 270, 1220, 280, 267, 610, 607, 1979, 665, 1938, 896, 19938, 476, 276, 2764, 270, 1001, 273, 269, 769, 519, 2136, 2276, 267, 519, 16501, 568, 519, 6392, 3238, 269, 19364, 10499, 288, 543, 4516, 616, 849, 14931, 14384, 269, 769, 3162, 3013, 267, 519, 1656, 6756, 7991, 543, 30330, 657, 584, 616, 519, 1079, 7161, 12270, 519, 11782, 269, 1452, 616, 930, 1806, 540, 4763, 543, 6988, 538, 519, 1858, 540, 519, 2518, 14261, 540, 18465, 4382, 1938, 563, 3674, 707, 18465, 4382, 728, 538, 513, 3989, 7121, 2687, 547, 519, 6042, 540, 1141, 596, 20053, 547, 11578, 286, 1772, 707, 3742, 6219, 3989, 585, 14261, 5773, 286, 6904, 6042, 4019, 547, 707, 6219, 9706, 6055, 286, 1772, 707, 18465, 4382, 728, 513, 1970, 16151, 6219, 286, 1684, 596, 991, 547, 1685, 513, 1981, 4879, 585, 1250, 1587, 286, 1772, 519, 1942, 540, 513, 18465, 4382, 728, 14261, 519, 1482, 607, 585, 513, 6671, 3114, 1587, 286, 1548, 568, 519, 5934, 1239, 10421, 286, 1684, 596, 991, 547, 11578, 707, 1587, 286, 1772, 972, 1022, 2027, 3728, 3950, 5650, 538, 519, 2197, 596, 20053, 547, 11578, 707, 1587, 888, 330, 7224, 749, 568, 513, 4759, 540, 519, 4437, 739, 574, 592, 656, 12752, 7027, 630, 292, 289, 2975, 264, 543, 568, 4061, 693, 519, 21282, 540, 707, 2115, 538, 519, 14261, 1184, 563, 5978, 4966, 543, 12665, 5001, 666, 948, 609, 707, 1367, 14511, 1644, 547, 7693, 4027, 269, 5192, 538, 5905, 256, 0, 763, 3163, 7467, 20274, 568, 16475, 513, 5722, 12268, 12202, 3126, 267, 799, 786, 1491, 1747, 593, 4266, 7389, 2630, 1063, 5130, 5025, 1440, 559, 269, 15012, 538, 593, 519, 1187, 540, 1565, 1018, 621, 3217, 547, 581, 606, 5140, 32529, 269, 10925, 707, 1983, 547, 519, 1449, 1282, 1142, 1362, 2336, 13202, 269, 476, 1240, 267, 14606, 543, 3281, 24031, 281, 5192, 519, 13897, 593, 519, 6886, 538, 1283, 3037, 267, 875, 547, 2087, 513, 4677, 779, 3037, 543, 1265, 856, 1018, 2371, 991, 547, 1332, 267, 7132, 1118, 513, 21431, 1753, 543, 1265, 856, 875, 547, 1376, 1753, 24600, 585, 707, 4677, 563, 15037, 269, 476, 272, 267, 24306, 281, 1133, 16225, 519, 1114, 2010, 540, 5072, 267, 875, 547, 3715, 513, 2635, 3597, 1062, 543, 1265, 856, 799, 2371, 723, 519, 27811, 5072, 267, 7132, 2263, 1018, 568, 3395, 538, 519, 15382, 302, 25052, 998, 2470, 22805, 563, 15037, 269, 476, 1428, 267, 25994, 281, 6226, 909, 1344, 827, 519, 1114, 2010, 540, 5452, 267, 875, 5452, 1020, 543, 875, 547, 1376, 5452, 540, 782, 5686, 693, 1753, 267, 7132, 1118, 513, 968, 23092, 10514, 892, 547, 1491, 1753, 563, 15037, 269, 476, 3066, 267, 853, 2114, 281, 3502, 13241, 267, 11710, 256, 9596, 827, 1114, 11710, 543, 9670, 11710, 899, 12277, 607, 1134, 607, 519, 3483, 543, 2694, 540, 11710, 267, 7132, 30164, 16853, 609, 20612, 543, 4677, 2609, 547, 1491, 1753, 563, 18550, 476, 2764, 267, 27817, 281, 6258, 827, 519, 2956, 540, 3762, 267, 741, 2694, 543, 3483, 267, 543, 1018, 3762, 723, 547, 798, 609, 1216, 6981, 267, 7132, 2263, 1114, 6978, 18282, 998, 6978, 6299, 321, 902, 563, 19688, 476, 275, 267, 26540, 281, 1703, 568, 811, 547, 5810, 982, 741, 1434, 5654, 2443, 2263, 519, 2185, 2694, 540, 513, 8768, 543, 1018, 789, 798, 267, 519, 2956, 540, 5810, 267, 7132, 946, 5810, 547, 1118, 513, 7206, 563, 19688, 476, 1240, 267, 22500, 281, 2353, 5810, 1118, 4829, 2443, 1451, 782, 827, 5613, 602, 10581, 267, 8038, 543, 6492, 1390, 267, 7132, 1711, 606, 1148, 4062, 689, 519, 4778, 538, 1585, 5613, 269, 0, 1103, 476, 1001, 277, 267, 519, 4639, 9098, 22694, 1155, 4735, 4705, 519, 1533, 779, 17888, 13230, 1876, 267, 799, 1305, 2628, 4441, 585, 4600, 593, 1857, 4070, 3785, 563, 763, 8247, 540, 17888, 13230, 4031, 729, 547, 2061, 891, 3785, 689, 7432, 883, 513, 5198, 547, 519, 5377, 267, 609, 856, 6361, 15581, 25255, 1527, 1746, 693, 519, 1857, 13258, 676, 896, 321, 27570, 2199, 4213, 543, 1104, 532, 1970, 13230, 267, 1970, 5578, 4600, 2978, 1681, 896, 22247, 2175, 563, 763, 2856, 585, 602, 2186, 540, 9086, 4769, 1406, 2097, 689, 513, 19619, 540, 4074, 18119, 269, 13298, 621, 729, 519, 2634, 18876, 540, 1079, 17044, 772, 2529, 269, 6845, 2209, 267, 6276, 808, 269, 16026, 540, 12425, 543, 7917, 700, 269, 32365, 540, 7043, 6816, 267, 1715, 3840, 563, 1103, 476, 4572, 278, 267, 32365, 729, 606, 13499, 547, 1451, 602, 606, 17665, 28079, 4465, 513, 19915, 547, 1628, 513, 25982, 779, 6413, 538, 1010, 8664, 267, 8744, 538, 14605, 5701, 4600, 547, 798, 519, 2816, 269, 769, 1010, 1913, 267, 789, 941, 968, 615, 4765, 5196, 713, 2816, 267, 789, 941, 24428, 538, 695, 2931, 267, 789, 941, 6976, 513, 1360, 1970, 13230, 267, 543, 3267, 621, 4667, 547, 803, 602, 519, 5313, 2229, 1058, 711, 4497, 538, 4070, 960, 538, 1022, 1533, 543, 24183, 519, 4074, 2175, 543, 519, 4074, 13848, 6976, 538, 602, 1533, 3034, 1103, 1010, 2070, 267, 4259, 12725, 1759, 13230, 4441, 585, 1857, 3785, 1131, 2327, 14619, 543, 1450, 2199, 543, 11397, 25255, 547, 14526, 585, 536, 1749, 593, 606, 3160, 4493, 563, 291, 32713, 5156, 602, 519, 2229, 1185, 513, 5539, 547, 968, 1260, 2952, 609, 519, 2199, 4441, 540, 13848, 543, 4074, 17888, 538, 519, 1327, 1275, 1141, 519, 2679, 4070, 568, 547, 1491, 1747, 3034, 19853, 9086, 267, 1634, 607, 519, 16026, 5174, 13154, 2920, 267, 729, 5293, 538, 18322, 538, 476, 4350, 272, 543, 2968, 519, 2203, 585, 1533, 17888, 13230, 4031, 267, 1519, 519, 835, 602, 1031, 547, 2149, 4639, 9098, 779, 4600, 543, 25255, 563, 302, 653, 7859, 540, 519, 9086, 267, 945, 267, 607, 2484, 607, 594, 666, 2995, 267, 616, 849, 17837, 540, 2324, 1004, 3622, 267, 11130, 602, 4735, 2718, 519, 9086, 1131, 4688, 27710, 16558, 2724, 563, 2690, 1383, 267, 14130, 16010, 9730, 30626, 30621, 2349, 1515, 267, 681, 5174, 518, 18403, 267, 11130, 693, 519, 942, 602, 968, 23719, 17888, 13230, 267, 596, 1223, 1628, 2947, 3506, 585, 519, 3902, 540, 1614, 1848, 1261, 849, 10645, 602, 519, 4735, 531, 1131, 4688, 519, 1533, 1269, 1220, 268, 4968, 2929, 12422, 563, 2252, 602, 2731, 5949, 267, 519, 1533, 1131, 723, 513, 5458, 6578, 21045, 269, 5502, 267, 519, 17294, 814, 10288, 1269, 1911, 2929, 538, 11912, 1813, 547, 513, 6578, 2110, 6420, 563, 4517, 519, 3427, 8490, 16958, 4080, 538, 476, 1001, 278, 602, 267, 1247, 4600, 685, 13848, 1185, 8854, 1524, 593, 1153, 3785, 2094, 4735, 2718, 17888, 13230, 267, 968, 1492, 2949, 1942, 540, 1153, 4070, 1281, 711, 2992, 513, 5786, 540, 2949, 4070, 3790, 593, 590, 10621, 3785, 693, 713, 942, 269, 2311, 713, 942, 519, 590, 10621, 568, 711, 16734, 606, 2949, 9806, 602, 1131, 1450, 585, 519, 4070, 540, 2048, 325, 633, 1007, 3506, 585, 519, 3902, 540, 1614, 16224, 607, 930, 723, 5892, 10645, 3034, 1432, 1705, 979, 1524, 941, 519, 10637, 14194, 3286, 539, 13848, 540, 15790, 550, 619, 267, 3167, 2103, 543, 5665, 8030, 563, 296, 1265, 621, 3226, 23892, 602, 4735, 2718, 17888, 13230, 4667, 547, 723, 4389, 519, 1297, 540, 7820, 4600, 538, 29095, 1222, 3292, 269, 769, 476, 1001, 277, 267, 972, 941, 936, 476, 276, 267, 6110, 3742, 29095, 269, 1635, 476, 1001, 279, 267, 602, 1297, 12628, 547, 476, 275, 267, 6110, 563, 6546, 779, 476, 272, 267, 1822, 7864, 1004, 2693, 547, 7118, 513, 2713, 13230, 609, 519, 5686, 540, 2640, 621, 3217, 547, 6318, 513, 1920, 609, 513, 4110, 540, 2804, 6617, 2443, 513, 1483, 2530, 547, 1082, 10010, 2950, 563, 310, 16017, 1869, 568, 519, 7771, 538, 11832, 3106, 269, 2201, 7308, 18191, 984, 4070, 7063, 2799, 676, 476, 2918, 2600, 2094, 4735, 531, 267, 2687, 547, 513, 1353, 689, 7812, 918, 1564, 599, 267, 9297, 7548, 693, 2160, 540, 16713, 11860, 12436, 4975, 267, 543, 7671, 2494, 15605, 267, 540, 519, 29268, 9483, 8889, 4659, 269, 634, 1353, 729, 20827, 676, 519, 10500, 559, 7007, 14716, 570, 10232, 543, 519, 4639, 9098, 3557, 8490, 570, 10232, 7027, 563, 6097, 547, 519, 1867, 267, 968, 21798, 338, 2404, 609, 1568, 924, 7063, 543, 606, 2949, 6175, 538, 11832, 7607, 723, 15558, 1022, 9806, 689, 2539, 4074, 3790, 267, 4611, 538, 1857, 1153, 4070, 3790, 602, 616, 711, 19250, 1114, 2094, 17888, 13230, 729, 4735, 4705, 267, 1256, 1310, 14577, 585, 10637, 3034, 10190, 972, 779, 519, 5734, 547, 2199, 4213, 269, 634, 6521, 689, 9769, 547, 1875, 10595, 542, 25255, 10888, 4070, 536, 1749, 10741, 519, 7450, 585, 513, 3677, 2671, 540, 856, 6361, 15581, 10909, 968, 704, 14127, 960, 593, 27710, 9707, 30845, 1153, 3785, 267, 543, 2921, 741, 15271, 1394, 609, 873, 547, 741, 1753, 2829, 2390, 1788, 12032, 3034, 12179, 1259, 596, 1413, 693, 621, 267, 4735, 2718, 938, 17888, 13230, 1876, 729, 513, 3983, 4308, 585, 4639, 7910, 2103, 269, 898, 779, 942, 585, 519, 22694, 1155, 547, 3768, 334, 519, 3441, 269, 0, 2690, 4892, 519, 2475, 3540, 2112, 729, 14042, 547, 21127, 543, 7980, 538, 2081, 1100, 2112, 2094, 814, 4299, 602, 4182, 269, 2755, 2663, 10617, 723, 5734, 824, 2477, 9875, 267, 585, 519, 2475, 476, 5908, 272, 268, 4792, 729, 676, 2484, 519, 1034, 15779, 4655, 538, 922, 1686, 269, 1809, 10617, 2141, 1860, 1114, 2516, 538, 1114, 2081, 267, 543, 899, 1034, 10617, 267, 519, 6406, 2782, 849, 6035, 3255, 281, 3255, 585, 7443, 267, 585, 18710, 267, 543, 585, 930, 267, 585, 519, 8323, 540, 30627, 563, 28846, 31217, 20122, 691, 630, 9264, 273, 268, 6642, 277, 264, 729, 519, 3791, 5067, 540, 606, 18211, 4531, 520, 267, 519, 23778, 540, 21207, 532, 5069, 28790, 269, 6145, 1082, 538, 1010, 2990, 267, 646, 8678, 519, 4108, 267, 4358, 513, 4876, 538, 519, 9576, 13108, 538, 476, 8146, 276, 269, 769, 713, 5736, 519, 3703, 26010, 1185, 513, 2027, 2686, 4567, 607, 519, 12325, 540, 519, 16486, 4577, 10617, 543, 519, 9718, 619, 540, 519, 10504, 779, 4105, 4123, 11507, 269, 1809, 3255, 585, 18710, 941, 4881, 2110, 585, 1079, 4128, 281, 519, 26010, 779, 2518, 29686, 1500, 2101, 12959, 12691, 267, 543, 782, 540, 519, 15798, 543, 12084, 3544, 540, 519, 8701, 4525, 1185, 1044, 25528, 269, 4634, 519, 1034, 16805, 10492, 1223, 711, 10956, 18279, 13648, 779, 7518, 1080, 267, 1317, 13648, 543, 1010, 9905, 538, 519, 22733, 2540, 1185 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5609, 1535, 15848, 269, 1924, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 476, 272, 16009, 1535, 15848, 815, 15848, 815, 6567, 5918, 5430, 1535, 579, 1547, 1547, 1547, 1547, 1547, 4586, 3374, 269, 476, 3374, 269, 589, 521, 5585, 1383, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 269, 1924, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 476, 272, 16009, 1535, 15848, 815, 15848, 815, 6567, 5918, 5430, 1535, 579, 815, 6567, 23692, 1923, 340, 347, 1341, 595, 1547, 1547, 1547, 1547, 1547, 4586, 3607, 269, 476, 3607, 269, 589, 521, 5585, 1383, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 269, 1924, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 476, 272, 16009, 1535, 15848, 815, 15848, 815, 6567, 5918, 5430, 1535, 579, 815, 6567, 23692, 1923, 340, 347, 1341, 595, 815, 6567, 23692, 1923, 5430, 1535, 347, 1341, 595, 815, 23692, 1923, 3813, 1535, 347, 1341, 595, 1547, 1547, 1547, 1547, 1547, 4586, 4391, 269, 476, 4391, 269, 2052, 596, 798, 621, 1776, 1259, 286, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 1547, 1547, 1547, 1547, 1547, 4586, 4343, 269, 476, 4343, 269, 2052, 596, 798, 621, 1776, 1259, 286, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 5918, 2913, 579, 815, 5609, 1535, 269, 3973, 5918, 815, 5430, 1535, 15848, 543, 865, 15848, 815, 1547, 5430, 1535, 1547, 1547, 1547, 1547, 1547, 4586, 4375, 269, 476, 4375, 269, 2052, 596, 798, 621, 1776, 1259, 286, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 5918, 2913, 579, 815, 5609, 1535, 269, 3973, 5918, 815, 5430, 1535, 15848, 543, 865, 15848, 815, 1547, 5430, 1535, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 579, 5918, 16009, 1535, 15848, 815, 15848, 815, 5430, 1535, 5430, 1535, 5430, 1535, 3980, 360, 3980, 360, 3980, 360, 579, 5918, 579, 5918, 579, 5918, 815, 815, 476, 273, 815, 5430, 273, 1535, 476, 272, 6567, 5609, 1535, 476, 272, 6567, 579, 273, 2311, 713, 1448, 267, 4352, 621, 779, 2009, 547, 8399, 267, 649, 1058, 4440, 1394, 909, 543, 1294, 952, 519, 824, 1259, 1568, 18334, 630, 527, 1281, 1040, 1547, 1547, 1547, 1547, 1547, 4586, 2412, 269, 476, 2412, 269, 1280, 1346, 945, 2731, 1590, 917, 782, 8827, 630, 16676, 4240, 267, 609, 7223, 948, 264, 3980, 360, 3980, 360, 3980, 360, 630, 3738, 579, 5918, 476, 272, 476, 272, 476, 272, 16009, 1535, 15848, 815, 815, 6567, 5918, 476, 272, 6567, 579, 273, 476, 273, 476, 272, 6629, 340, 476, 272, 266, 340, 476, 272, 476, 272, 815, 6567, 23692, 1923, 272, 6567, 579, 347, 6567, 23692, 1923, 272, 1341, 579, 347, 1341, 595, 476, 273, 476, 273, 476, 272, 476, 272, 815, 23692, 20734, 1341, 595, 815, 23692, 20734, 1341, 290, 630, 272, 6567, 579, 7565, 272, 1341, 579, 264, 476, 272, 6567, 579, 273, 476, 272, 815, 23692, 1341, 595, 815, 23692, 1923, 5913, 1535, 347, 1341, 595, 1923, 6523, 1535, 347, 1547, 1547, 1547, 1547, 1547, 4586, 6078, 269, 476, 6078, 269, 20895, 7831, 5384, 281, 634, 27284, 14497, 4433, 264, 540, 20145, 15240, 3191, 585, 1473, 324, 16667, 333, 924, 6715, 23552, 7869, 6201, 15240, 3191, 585, 1546, 16667, 333, 924, 6715, 23552, 7869, 6201, 1547, 1547, 1547, 1547, 1547, 4586, 5655, 269, 476, 5655, 269, 14497, 630, 763, 15240, 3191, 14329, 585, 1546, 16667, 333, 924, 6715, 23552, 264, 1403, 575, 12664, 568, 6024, 543, 535, 568, 6024, 593, 519, 2039, 540, 579, 815, 575, 3287, 1070, 1287, 3980, 360, 3980, 360, 536, 575, 6357, 264, 535, 14116, 3287, 4297, 326, 12664, 630, 343, 264, 15848, 815, 535, 26086, 264, 5918, 269, 513, 575, 630, 320, 3738, 1547, 1547, 1547, 1547, 1547, 4586, 6246, 269, 476, 6246, 269, 14497, 630, 763, 15240, 3191, 14329, 585, 1546, 16667, 333, 924, 6715, 23552, 264, 1403, 575, 12664, 568, 6024, 543, 535, 568, 6024, 593, 519, 2039, 540, 579, 815, 575, 3287, 1070, 1287, 3980, 360, 3980, 360, 536, 575, 6357, 264, 535, 14116, 3287, 4297, 326, 12664, 630, 343, 264, 15848, 815, 535, 26086, 264, 5918, 269, 513, 575, 630, 320, 3738, 4208, 519, 1689, 538, 519, 7182, 286, 634, 7533, 593, 519, 2451, 4523, 538, 968, 343, 268, 1633, 892, 634, 7533, 593, 519, 1318, 4523, 538, 968, 340, 268, 1633, 5608, 865, 519, 7182, 991, 547, 581, 579, 268, 11161, 1677, 1205, 689, 1535, 547, 579, 267, 4019, 575, 1547, 1547, 1547, 1547, 1547, 4586, 4510, 269, 476, 4510, 269, 7151, 3980, 360, 12631, 30770, 5430, 273, 1535, 5609, 1535, 15848, 269, 476, 271, 1547, 1547, 1547, 1547, 1547, 4586, 3393, 269, 476, 3393, 269, 7151, 3980, 360, 12631, 30770, 5430, 273, 1535, 5609, 1535, 15848, 269, 476, 271, 8827, 630, 306, 869, 10158, 264, 3980, 360, 3689, 12337, 519, 967, 324, 16667, 333, 924, 7533, 5430, 273, 1535, 5609, 1535, 15848, 543, 1287, 6218, 269, 1547, 1547, 1547, 1547, 1547, 4586, 5379, 269, 476, 5379, 269, 7151, 3980, 360, 12631, 30770, 5430, 273, 1535, 5609, 1535, 15848, 269, 476, 271, 8827, 630, 306, 869, 10158, 264, 3980, 360, 3689, 12337, 519, 967, 324, 16667, 333, 924, 7533, 5430, 273, 1535, 5609, 1535, 15848, 543, 1287, 6218, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 543, 3980, 360, 3980, 360, 5430, 1535, 5609, 1535, 15848, 815, 6567, 579, 273, 5918, 476, 273, 815, 6567, 476, 272, 579, 274, 1341, 595, 815, 6567, 476, 272, 5430, 274, 1535, 1341, 595, 269, 476, 274, 476, 274, 4475, 3980, 360, 12631, 476, 272, 12631, 476, 272, 263, 3738, 476, 273, 5430, 273, 1535, 5609, 1535, 15848, 815, 6567, 5430, 274, 1535, 815, 6629, 630, 6629, 272, 264, 274, 6567, 476, 1724, 815, 1547, 476, 271, 476, 274, 476, 271, 476, 274, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 5325, 269, 476, 5325, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 1547, 1547, 1547, 1547, 1547, 4586, 4366, 269, 476, 4366, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 267, 579, 263, 271, 264, 815, 476, 272, 543, 579, 263, 11027, 264, 815, 6567, 272, 269, 1547, 1547, 1547, 1547, 1547, 4586, 5392, 269, 476, 5392, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 267, 579, 263, 271, 264, 815, 476, 272, 543, 579, 263, 11027, 264, 815, 6567, 272, 269, 1924, 3980, 360, 12631, 3980, 360, 6567, 272, 5430, 273, 1535, 5609, 1535, 15848, 815, 6567, 340, 273, 5918, 476, 271, 476, 272, 3980, 360, 476, 272, 815, 579, 273, 5918, 6567, 272, 476, 272, 476, 272, 476, 272, 263, 3738, 476, 273, 815, 579, 274, 815, 476, 272, 6567, 630, 6629, 272, 264, 815, 476, 274, 6567, 272, 476, 274, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 2004, 269, 476, 2004, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 267, 579, 263, 271, 264, 815, 476, 272, 543, 579, 263, 11027, 264, 815, 6567, 272, 269, 1924, 3980, 360, 12631, 3980, 360, 6567, 272, 5430, 273, 1535, 5609, 1535, 15848, 815, 6567, 340, 273, 5918, 476, 271, 476, 272, 3980, 360, 476, 272, 815, 579, 273, 5918, 6567, 272, 476, 272, 476, 272, 476, 272, 263, 3738, 476, 273, 815, 579, 274, 815, 476, 272, 6567, 630, 6629, 272, 264, 815, 476, 274, 6567, 272, 476, 274, 476, 274, 634, 5413, 547, 519, 968, 9724, 1259, 892, 568, 602, 596, 4625, 2981, 519, 7533, 883, 1945, 12863, 543, 1810, 1406, 723, 547, 979, 1394, 547, 519, 3312, 1535, 4756, 269, 1809, 519, 3500, 1259, 568, 1175, 607, 6325, 269, 1547, 1547, 1547, 1547, 1547, 4586, 7906, 269, 476, 7906, 269, 1323, 12825, 1383, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 7367, 269, 476, 7367, 269, 1323, 12825, 1383, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 2073, 865, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 1284, 723, 3980, 360, 20734, 3980, 360, 23692, 476, 279, 20734, 476, 272, 476, 279, 18414, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 815, 579, 1341, 476, 272, 5918, 23692, 476, 274, 476, 273, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 7871, 269, 476, 7871, 269, 1323, 12825, 1383, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 2073, 865, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 1284, 723, 3980, 360, 20734, 3980, 360, 23692, 476, 279, 20734, 476, 272, 476, 279, 18414, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 815, 579, 1341, 476, 272, 5918, 23692, 476, 274, 476, 273, 476, 274, 3767, 1577, 586, 815, 579, 1341, 476, 272, 267, 10085, 815, 5918, 269, 1924, 3980, 360, 476, 279, 18414, 3980, 360, 476, 280, 3980, 360, 476, 280, 476, 272, 476, 272, 20734, 476, 272, 579, 1341, 476, 272, 5918, 815, 586, 10085, 815, 586, 272, 270, 273, 10085, 476, 273, 476, 274, 476, 273, 476, 275, 476, 273, 476, 275, 476, 280, 476, 272, 476, 273, 476, 272, 476, 866, 815, 5788, 586, 274, 270, 273, 815, 630, 2767, 6567, 476, 279, 264, 815, 476, 273, 476, 274, 476, 275, 476, 274, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 7918, 269, 476, 7918, 269, 6168, 1346, 7182, 20734, 20734, 476, 273, 552, 273, 10857, 333, 476, 274, 264, 815, 1714, 333, 476, 274, 815, 1714, 333, 476, 274, 815, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 4649, 269, 476, 4649, 269, 6168, 1346, 27847, 7060, 476, 11152, 270, 273, 815, 630, 11011, 270, 273, 3738, 274, 815, 476, 3451, 815, 476, 2767, 476, 6246, 270, 273, 815, 630, 6078, 270, 273, 3738, 274, 815, 476, 2537, 815, 476, 279, 1547, 1547, 1547, 1547, 1547, 4586, 6321, 269, 476, 6321, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 1341, 476, 272, 1547, 1547, 1547, 1547, 1547, 4586, 6872, 269, 476, 6872, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 1341, 476, 272, 267, 865, 602, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 1547, 1547, 1547, 1547, 1547, 4586, 6812, 269, 476, 6812, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 1341, 476, 272, 267, 865, 602, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 3973, 3980, 360, 20734, 3980, 360, 23692, 476, 279, 20734, 476, 272, 476, 280, 18414, 476, 273, 343, 20734, 552, 552, 273, 343, 1341, 476, 272, 15848, 815, 579, 5918, 23692, 476, 274, 476, 273, 476, 275, 1547, 1547, 1547, 1547, 1547, 4586, 6795, 269, 476, 6795, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4399, 28235, 346, 3722, 20954, 6606, 267, 1141, 519, 1957, 568, 25649, 780, 4131, 1269, 343, 815, 22680, 269, 259, 476, 3973, 1269, 5183, 815, 13698, 262, 815, 476, 1321, 910, 1535, 267, 259, 865, 676, 519, 4521, 540, 15328, 1149, 593, 6906, 1269, 303, 10621, 262, 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, 6092, 5149, 281, 634, 674, 12574, 700, 687, 540, 519, 4210, 1695, 8270, 11076, 543, 741, 8836, 19043, 538, 5101, 3979, 9085, 692, 296, 269, 4985, 692, 24145, 1155, 1419, 9356, 519, 2418, 267, 4978, 267, 543, 2067, 1604, 540, 513, 1880, 2528, 269, 769, 5101, 3979, 3332, 267, 2523, 2059, 519, 4210, 1695, 8270, 5032, 267, 21495, 723, 4371, 1390, 4644, 543, 616, 7184, 18955, 883, 519, 3148, 781, 5711, 543, 2854, 5389, 269, 901, 1576, 1770, 786, 2263, 519, 2956, 540, 21495, 538, 4210, 1695, 8270, 9381, 2528, 267, 5373, 4296, 1063, 3140, 6589, 267, 5339, 11269, 267, 543, 4207, 5726, 3646, 269, 1284, 786, 1445, 593, 519, 17255, 834, 289, 16808, 776, 21495, 257, 540, 3345, 4000, 543, 4983, 741, 10083, 547, 519, 535, 12574, 21495, 540, 519, 4210, 1695, 8270, 5032, 780, 2862, 269, 8466, 32439, 540, 700, 687, 538, 4210, 1695, 8270, 26066, 9177, 692, 30399, 267, 21495, 5129, 513, 2629, 1909, 538, 5935, 519, 1514, 543, 2797, 5251, 540, 519, 4210, 1695, 8270, 5032, 269, 1358, 6039, 607, 6698, 540, 1379, 267, 22838, 267, 543, 28370, 269, 9147, 4210, 1695, 8270, 2749, 32145, 899, 18741, 11445, 267, 631, 4861, 14505, 267, 543, 2098, 11961, 756, 541, 12286, 17794, 11052, 538, 741, 6189, 543, 11247, 267, 1129, 4328, 519, 7068, 262, 5289, 543, 12572, 2956, 630, 6781, 2426, 340, 1299, 2806, 2426, 340, 267, 476, 1960, 277, 1040, 5047, 267, 4210, 1695, 8270, 12563, 2145, 525, 543, 17691, 4749, 4183, 21495, 607, 3844, 3197, 267, 10771, 741, 2686, 4644, 780, 7656, 269, 16520, 11724, 725, 540, 700, 687, 538, 4210, 1695, 8270, 9085, 692, 18933, 1695, 8270, 3332, 3091, 3638, 26007, 540, 21495, 543, 741, 5107, 1369, 2486, 269, 7313, 1115, 543, 1650, 339, 25527, 6964, 23199, 543, 14336, 1559, 10704, 1472, 891, 23836, 581, 6814, 547, 6655, 1950, 2093, 827, 1379, 6384, 267, 13919, 267, 543, 3961, 269, 1280, 3236, 267, 519, 4583, 4210, 1695, 8270, 12473, 6648, 1325, 24493, 330, 880, 2378, 328, 18271, 17794, 11052, 547, 9414, 4798, 540, 10100, 267, 5718, 267, 543, 519, 3666, 1063, 8103, 543, 2470, 630, 295, 677, 517, 1299, 5664, 2023, 267, 476, 1220, 271, 1040, 1635, 6313, 971, 5931, 267, 649, 2744, 3407, 5813, 883, 875, 4210, 1695, 8270, 2950, 6956, 543, 12595, 21495, 2429, 1686, 780, 4353, 269, 3474, 4150, 3149, 9737, 15016, 776, 700, 687, 543, 4210, 1695, 8270, 26066, 700, 687, 692, 15987, 32321, 11397, 267, 519, 15016, 776, 21495, 540, 3345, 4000, 3838, 1896, 4162, 609, 519, 21495, 540, 519, 4210, 1695, 8270, 5032, 269, 5637, 28849, 20948, 3309, 8916, 543, 2170, 539, 5702, 609, 1480, 5095, 269, 3958, 267, 1312, 941, 9228, 607, 3532, 6698, 17709, 540, 27527, 543, 4027, 269, 1306, 649, 2015, 519, 1761, 32543, 3174, 540, 15016, 776, 21495, 547, 519, 25304, 15142, 267, 10452, 593, 519, 3140, 2078, 1063, 3425, 543, 21495, 2059, 519, 4210, 1695, 8270, 5032, 666, 2709, 3407, 4245, 538, 30398, 543, 5726, 780, 309, 269, 12634, 11094, 27557, 543, 22627, 547, 4210, 1695, 8270, 26066, 9177, 692, 9213, 267, 17794, 5095, 3068, 3875, 6937, 267, 1519, 7226, 2530, 267, 1480, 2914, 843, 5158, 4655, 267, 543, 2916, 1689, 269, 1717, 267, 2487, 7636, 4719, 1382, 2488, 4126, 585, 519, 11091, 540, 2322, 894, 18939, 540, 519, 15016, 776, 17794, 538, 24811, 630, 289, 1068, 7637, 1696, 620, 1421, 476, 1001, 279, 1040, 1452, 4681, 20838, 519, 2956, 540, 4797, 5726, 3646, 6322, 693, 7863, 13155, 17794, 5095, 543, 4509, 9265, 269, 5015, 267, 9301, 519, 2620, 2686, 13218, 1063, 3425, 543, 21495, 2059, 519, 4210, 1695, 8270, 5032, 7512, 721, 547, 15260, 612, 938, 9021, 2509, 891, 15999, 7068, 543, 960, 2509, 5807, 18900, 3347, 1063, 1004, 543, 7320, 780, 9654, 269, 10390, 692, 3528, 3695, 519, 3140, 543, 2686, 4644, 540, 21495, 538, 4210, 1695, 8270, 9381, 3332, 267, 713, 1576, 1770, 8711, 519, 4105, 991, 585, 5571, 5726, 7341, 269, 3414, 2502, 609, 6386, 10023, 891, 11599, 7068, 267, 649, 666, 1732, 1174, 519, 1871, 5116, 2390, 873, 676, 2250, 7239, 543, 4019, 1346, 4245, 547, 2413, 6377, 2591, 269, 11086, 267, 19825, 519, 7096, 1764, 540, 21495, 593, 5101, 3979, 3332, 5713, 607, 513, 1289, 547, 2962, 267, 28409, 721, 547, 8190, 891, 7415, 7919, 543, 2327, 741, 6668, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 12694, 543, 25684, 540, 10289, 519, 21834, 540, 3345, 4000, 779, 968, 289, 16808, 776, 23193, 892, 543, 519, 11094, 540, 10925, 894, 2677, 25728, 1218, 538, 12650, 2032, 454, 763, 21495, 540, 3345, 4000, 941, 2189, 538, 8733, 2474, 607, 1134, 607, 689, 513, 1480, 2686, 5133, 543, 941, 519, 17046, 21495, 540, 4936, 543, 19744, 2342, 269, 6997, 8215, 968, 289, 16808, 776, 892, 21495, 267, 789, 941, 2899, 3875, 538, 3345, 4000, 855, 941, 608, 32558, 730, 676, 519, 4571, 268, 736, 628, 2540, 269, 6736, 7766, 23979, 540, 519, 25304, 13738, 5117, 998, 1480, 12503, 267, 519, 23250, 540, 17794, 32543, 3174, 814, 1044, 23503, 2094, 519, 476, 3192, 271, 338, 269, 3194, 593, 519, 1279, 28004, 27604, 17794, 4015, 12926, 6854, 676, 519, 521, 738, 753, 543, 15438, 540, 25448, 814, 13087, 16496, 9960, 20291, 2066, 21185, 4754, 543, 3864, 18186, 657, 5473, 513, 1713, 1297, 540, 2831, 269, 17449, 4719, 1382, 814, 5063, 3177, 4030, 883, 17794, 18105, 4094, 344, 799, 267, 5103, 3105, 10372, 602, 782, 21495, 2671, 2487, 1455, 22693, 267, 1631, 6920, 2312, 1253, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 4000, 1315, 5101, 4000, 1315, 4210, 1695, 8270, 26066, 9177, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1360, 1101, 1016, 15492, 538, 3203, 3778, 538, 519, 3689, 12287, 256, 1284, 2811, 9599, 547, 1376, 713, 3460, 609, 596, 607, 649, 2263, 875, 5159, 2995, 741, 1378, 2984, 998, 741, 11247, 269, 769, 713, 1016, 15492, 267, 649, 3513, 1451, 827, 1018, 621, 1797, 547, 2328, 1148, 1686, 538, 519, 1101, 1268, 269, 1924, 10544, 707, 5862, 1962, 16640, 543, 1577, 781, 4685, 1318, 538, 2439, 2691, 649, 2911, 827, 1148, 1686, 267, 649, 1419, 1589, 540, 4583, 10367, 543, 18810, 689, 7366, 540, 1296, 3516, 269, 1809, 3297, 1169, 4062, 540, 1148, 267, 972, 781, 513, 1650, 7996, 547, 581, 5143, 269, 1656, 945, 1732, 547, 2995, 1346, 2984, 982, 519, 5159, 2933, 286, 2334, 781, 1141, 519, 1101, 1268, 2501, 538, 780, 16240, 1148, 1686, 538, 519, 1101, 1268, 1797, 602, 519, 7376, 568, 4687, 741, 4555, 267, 4606, 267, 543, 2833, 2047, 609, 721, 269, 898, 781, 899, 6217, 513, 1650, 2786, 689, 519, 7504, 781, 5023, 256, 901, 1259, 267, 649, 666, 1205, 547, 917, 519, 7376, 593, 513, 811, 2123, 1377, 543, 1174, 741, 18144, 543, 4943, 725, 3297, 1142, 20100, 780, 4131, 781, 1413, 693, 930, 1806, 547, 1118, 713, 20501, 269, 5994, 596, 2811, 3168, 693, 513, 4190, 5251, 7206, 540, 513, 12902, 3039, 15113, 728, 609, 513, 6505, 4544, 6607, 16841, 269, 1403, 649, 941, 1603, 1148, 1686, 538, 519, 3791, 1268, 267, 649, 1522, 2161, 1945, 899, 267, 834, 1607, 7206, 20186, 513, 32668, 24781, 6429, 1701, 1809, 950, 649, 2328, 621, 538, 519, 1101, 1268, 267, 519, 7376, 666, 2671, 741, 1378, 5133, 269, 1358, 1522, 2161, 267, 834, 296, 13556, 713, 4605, 1310, 7836, 513, 12560, 12784, 6972, 998, 519, 15113, 2282, 1250, 1753, 269, 594, 4941, 547, 7001, 519, 4743, 540, 22471, 1006, 543, 5191, 602, 594, 5433, 538, 602, 4090, 1701, 6423, 519, 3017, 286, 634, 1101, 1268, 3947, 721, 513, 19214, 883, 519, 7376, 781, 2247, 543, 2295, 780, 2080, 781, 1776, 1383, 269, 2913, 781, 2161, 596, 2097, 2066, 513, 11495, 17855, 540, 513, 4807, 609, 22815, 1424, 4064, 543, 513, 5462, 4082, 269, 589, 3791, 16512, 6609, 1522, 1224, 267, 834, 763, 1641, 540, 713, 17855, 5526, 8746, 543, 2178, 1701, 1809, 538, 519, 1101, 1268, 267, 519, 7376, 1223, 7866, 267, 834, 296, 13556, 713, 17855, 540, 1250, 20516, 1317, 1352, 729, 835, 540, 519, 2909, 4034, 1004, 594, 2479, 6785, 269, 2701, 15068, 1079, 1158, 10617, 543, 6659, 8370, 1453, 593, 1200, 1378, 269, 4173, 4222, 6273, 803, 267, 543, 594, 4941, 547, 8956, 1200, 9371, 998, 1250, 1148, 1701, 3767, 3085, 1405, 602, 2285, 596, 513, 4514, 7071, 585, 519, 11247, 2496, 2026, 596, 666, 1294, 267, 1603, 1148, 1686, 538, 519, 1101, 1268, 2636, 721, 547, 1921, 609, 519, 7376, 593, 513, 1454, 811, 15982, 1377, 269, 1635, 1210, 741, 1378, 9739, 267, 789, 666, 2769, 741, 2189, 5380, 543, 4664, 538, 513, 1259, 602, 6770, 741, 11247, 547, 1272, 780, 3383, 1631, 602, 596, 1174, 1018, 621, 1797, 547, 2328, 1148, 1686, 538, 519, 1101, 1268, 267, 621, 781, 942, 547, 2322, 707, 1702, 883, 2259, 256, 6733, 1472, 596, 543, 1265, 513, 4062, 540, 1148, 602, 14753, 547, 596, 269, 898, 1223, 581, 4376, 689, 513, 7206, 538, 513, 9754, 547, 513, 544, 1116, 593, 513, 2749, 8265, 269, 3973, 2119, 547, 4952, 1018, 519, 7376, 1522, 723, 1044, 3206, 610, 4743, 950, 789, 2813, 621, 269, 5457, 547, 946, 519, 1101, 1268, 543, 1577, 707, 9345, 2196, 3552, 256, 5808, 6487, 267, 596, 1522, 1175, 3605, 513, 6456, 17576, 538, 10750, 8289, 269, 8414, 3695, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 9209, 3778, 538, 519, 3689, 12287, 834, 5497, 585, 1762, 1453, 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, 9502, 540, 519, 1101, 1268, 5639, 538, 1148, 1686, 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, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 3848, 476, 277, 281, 13067, 22785, 543, 3690 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1797, 621, 3884, 1405, 2189, 693, 782, 267, 855, 782, 519, 1919, 17598, 519, 2783, 616, 568, 25806, 780, 1607, 3668, 540, 8856, 568, 835, 540, 519, 1034, 2352, 1919, 547, 6023, 950, 2679, 5752, 3631, 281, 621, 1797, 649, 723, 1082, 5079, 540, 6041, 543, 3069, 3762, 621, 1930, 799, 3283, 547, 3442, 269, 0, 1012, 9612, 1336, 476, 25172, 273, 13292, 692, 2971, 1703, 941, 3230, 337, 2330, 2699, 11084, 543, 3230, 344, 2330, 5835, 11084, 538, 513, 9126, 780, 30607, 9046, 14572, 692, 2171, 723, 586, 266, 275, 5835, 11084, 543, 678, 266, 274, 2699, 11084, 267, 543, 678, 20742, 266, 278, 11084, 538, 2698, 269, 1924, 519, 5506, 540, 16116, 267, 609, 10682, 267, 1101, 513, 5835, 1287, 513, 2699, 3440, 786, 581, 630, 344, 266, 275, 19422, 337, 20742, 266, 278, 264, 2608, 630, 337, 266, 274, 19422, 337, 20742, 266, 278, 1070, 799, 568, 2626, 589, 780, 2421, 27950, 26791, 692, 26422, 4119, 476, 1839, 267, 476, 1001, 280, 476, 279, 281, 1240, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 1703, 941, 3230, 337, 2330, 2699, 11084, 543, 3230, 344, 2330, 5835, 11084, 538, 513, 9126, 563, 28806, 281, 476, 274, 454, 21366, 281, 476, 25838, 692, 2971, 2806, 580, 841, 568, 476, 275, 2053, 607, 2025, 607, 12844, 22448, 269, 769, 476, 277, 1296, 267, 12844, 22448, 786, 692, 30607, 9046, 14572, 692, 6781, 580, 841, 786, 581, 476, 3607, 538, 2185, 1296, 267, 865, 2806, 580, 841, 568, 476, 3953, 269, 2701, 568, 476, 275, 2053, 607, 2025, 607, 12844, 22448, 267, 865, 12844, 22448, 568, 476, 279, 269, 769, 3670, 1296, 267, 12844, 22448, 786, 581, 476, 1691, 267, 543, 786, 581, 7466, 607, 2025, 607, 15443, 823, 267, 865, 538, 3670, 1296, 267, 15443, 823, 786, 581, 476, 278, 267, 799, 568, 1018, 519, 2243, 4280, 721, 547, 1265, 780, 2421, 27950, 26791, 692, 26422, 4119, 476, 1839, 267, 476, 1001, 280, 476, 279, 281, 1724, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 2806, 580, 841, 568, 476, 275, 2053, 607, 2025, 607, 12844, 22448, 269, 769, 476, 277, 1296, 267, 12844, 22448, 786, 454, 28806, 281, 476, 274, 454, 21366, 281, 476, 18597, 692, 2971, 589, 16741, 666, 581, 19632, 689, 2016, 5079, 267, 609, 5561, 28847, 30607, 9046, 14572, 692, 2005, 781, 711, 2312, 1018, 519, 2243, 568, 6998, 910, 1281, 519, 6075, 723, 519, 4781, 547, 522, 2466, 2901, 547, 25940, 610, 10381, 267, 610, 666, 1352, 522, 2466, 1312, 286, 1215, 1082, 547, 25940, 616, 4847, 593, 513, 16741, 286, 9122, 593, 519, 2626, 5079, 267, 594, 666, 7058, 1018, 789, 20053, 281, 513, 6075, 666, 4584, 835, 12933, 267, 835, 10381, 267, 543, 835, 547, 6137, 267, 855, 13718, 2421, 27950, 26791, 692, 25823, 4119, 476, 2190, 267, 476, 1001, 280, 476, 278, 281, 2412, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 589, 16741, 666, 581, 19632, 689, 2016, 5079, 267, 609, 5561, 7055, 28806, 281, 476, 275, 454, 21366, 281, 476, 27840, 692, 2971, 589, 1065, 22780, 568, 513, 2318, 8870, 602, 3568, 1152, 519, 7857, 692, 30607, 4578, 2672, 11797, 692, 2252, 1169, 7857, 540, 678, 568, 476, 272, 267, 1287, 519, 1297, 540, 9704, 540, 678, 786, 581, 3160, 547, 519, 2040, 540, 519, 9704, 540, 678, 269, 1403, 267, 607, 15048, 476, 272, 6645, 721, 267, 519, 1297, 540, 9704, 540, 678, 568, 513, 2789, 540, 476, 274, 267, 1287, 519, 2040, 540, 678, 781, 9704, 568, 513, 2789, 540, 476, 274, 267, 543, 678, 568, 16883, 676, 476, 274, 269, 4595, 678, 568, 711, 3160, 547, 476, 274, 267, 678, 3112, 581, 6305, 267, 543, 590, 13718, 2421, 27950, 26791, 692, 25823, 4119, 476, 2190, 267, 476, 1001, 280, 476, 278, 281, 2764, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 589, 1065, 22780, 568, 513, 2318, 8870, 602, 3568, 1152, 519, 7857, 454, 28806, 281, 476, 273, 454, 21366, 281, 476, 23470, 692, 2971, 1403, 1535, 543, 586, 616, 9981, 267, 568, 1535, 1341, 586, 1256, 286, 630, 272, 264, 1535, 1341, 476, 273, 344, 568, 9642, 780, 30607, 4578, 2672, 11797, 692, 297, 599, 287, 10048, 21908, 18800, 5206, 281, 630, 272, 264, 1535, 1341, 476, 273, 344, 568, 9642, 780, 272, 269, 4595, 476, 273, 344, 568, 9642, 28000, 540, 2436, 586, 568, 1256, 543, 9642, 454, 1103, 2013, 713, 568, 14845, 585, 4896, 2542, 267, 594, 6415, 2386, 713, 568, 5921, 547, 2161, 834, 7712, 476, 273, 344, 568, 1256, 28000, 540, 2436, 586, 568, 1256, 610, 9642, 6231, 2421, 27950, 26791, 692, 293, 686, 4119, 476, 2537, 267, 476, 1001, 280, 476, 277, 281, 3451, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 1403, 1535, 543, 586, 616, 9981, 267, 568, 1535, 1341, 586, 1256, 286, 630, 272, 264, 1535, 1341, 476, 273, 344, 568, 9642, 563, 28806, 281, 476, 273, 454, 21366, 281, 476, 29574, 692, 2971, 20640, 1769, 15620, 22921, 476, 272, 998, 476, 279, 616, 11231, 538, 513, 692, 30607, 9046, 14572, 692, 21446, 8271, 267, 952, 649, 1577, 519, 15620, 8755, 11014, 267, 649, 3513, 4783, 998, 782, 5216, 2338, 267, 1287, 519, 4806, 786, 1376, 547, 10956, 269, 1924, 519, 2063, 1297, 649, 9364, 1205, 538, 602, 4783, 1354, 3478, 1394, 547, 834, 272, 257, 1590, 581, 1614, 2338, 1354, 834, 272, 257, 538, 519, 5858, 267, 543, 3976, 1590, 581, 834, 277, 6231, 2421, 27950, 26791, 692, 1320, 340, 4119, 476, 2420, 267, 476, 1001, 280, 476, 276, 281, 4366, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 20640, 1769, 15620, 22921, 476, 272, 998, 476, 279, 616, 11231, 538, 513, 454, 28806, 281, 476, 275, 454, 21366, 281, 476, 28510, 692, 2971, 769, 519, 3230, 15383, 268, 2330, 30350, 267, 1448, 3230, 302, 2330, 568, 4092, 693, 519, 5169, 10484, 30607, 4578, 2672, 11797, 692, 1607, 568, 1175, 606, 17071, 5299, 540, 606, 4013, 2243, 630, 514, 2536, 1640, 1317, 621, 3085, 1405, 1331, 513, 6516, 267, 799, 519, 17918, 1131, 1331, 267, 543, 1317, 621, 781, 991, 8393, 2262, 344, 264, 23241, 10059, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 30032, 7308, 3146, 551, 320, 3267, 476, 23310, 10844, 11258, 692, 2421, 27950, 26791, 692, 26607, 4119, 476, 2641, 267, 476, 1001, 280, 476, 278, 281, 6734, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 769, 519, 3230, 15383, 268, 2330, 30350, 267, 1448, 3230, 302, 2330, 568, 4092, 693, 519, 5169, 2676, 28806, 281, 476, 273, 454, 21366, 281, 476, 26631, 692, 2971, 2311, 476, 279, 600, 593, 13628, 267, 1079, 4600, 267, 589, 543, 645, 267, 1142, 1376, 2324, 692, 30607, 9046, 14572, 692, 13356, 5317, 3388, 267, 11832, 645, 2306, 513, 17689, 538, 476, 1626, 3108, 267, 543, 11832, 589, 2306, 513, 17689, 538, 12341, 1063, 476, 279, 543, 476, 1321, 3108, 269, 1284, 3513, 1265, 519, 5934, 942, 621, 1522, 1491, 873, 1927, 952, 649, 8263, 589, 3217, 4010, 476, 279, 3108, 269, 769, 602, 2013, 267, 1210, 1022, 3928, 1505, 596, 899, 630, 324, 3052, 269, 952, 589, 2306, 835, 17689, 538, 476, 279, 3108, 267, 589, 544, 13718, 2421, 27950, 26791, 692, 26607, 4119, 476, 2641, 267, 476, 1001, 280, 476, 277, 281, 6321, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 2311, 476, 279, 600, 593, 13628, 267, 1079, 4600, 267, 589, 543, 645, 267, 1142, 1376, 2324, 454, 28806, 281, 476, 273, 454, 21366, 281, 476, 9692, 692, 2971, 2311, 513, 2199, 6995, 6300, 267, 2250, 1845, 949, 723, 10808, 267, 10217, 10484, 30607, 4578, 2672, 11797, 692, 5804, 15048, 476, 272, 267, 2094, 476, 2568, 260, 2270, 10217, 267, 835, 10116, 540, 602, 6871, 267, 610, 476, 1428, 9077, 2270, 9444, 10217, 6862, 10808, 269, 2334, 6589, 585, 476, 4037, 260, 540, 519, 2250, 1845, 267, 543, 519, 1964, 267, 610, 476, 1839, 9077, 1590, 2270, 10808, 855, 711, 10217, 269, 4595, 972, 616, 476, 6110, 2250, 1845, 538, 2698, 267, 476, 1911, 2270, 1152, 10808, 267, 543, 15048, 476, 272, 1775, 13718, 2421, 27950, 26791, 692, 26607, 4119, 476, 2641, 267, 476, 1001, 280, 476, 277, 281, 2412, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 2311, 513, 2199, 6995, 6300, 267, 2250, 1845, 949, 723, 10808, 267, 10217, 2676, 28806, 281, 476, 273, 454, 21366, 281, 476, 14378, 692, 2971, 26286, 16142, 616, 1455, 538, 519, 7297, 4478, 14210, 732, 692, 30607, 11879, 25705, 692, 763, 25650, 781, 834, 9188, 1600, 12343, 257, 568, 834, 1729, 948, 519, 4346, 2668, 1924, 649, 1616, 513, 2601, 713, 11556, 786, 711, 948, 519, 4346, 269, 1284, 917, 9235, 568, 1271, 547, 519, 4346, 267, 855, 10068, 568, 1256, 811, 1271, 269, 2755, 713, 11556, 949, 948, 9235, 267, 952, 972, 781, 513, 2601, 621, 1522, 10413, 10068, 267, 621, 1522, 711, 9785, 13718, 2421, 27950, 26791, 692, 307, 826, 4119, 476, 736, 267, 476, 1001, 280, 476, 276, 281, 6246, 993, 454, 2690, 636, 281, 11879, 25705, 454, 307, 8084, 281, 26286, 16142, 616, 1455, 538, 519, 7297, 4478, 14210, 732, 454, 28806, 281, 476, 272, 454, 21366, 281, 476, 19054, 692, 2971, 26712, 9539, 3784, 16544, 2433, 10261, 2241, 7778, 547, 4194, 692, 30607, 17918, 4569, 692, 288, 1297, 786, 581, 16883, 676, 476, 2190, 952, 621, 568, 16883, 676, 476, 274, 543, 676, 476, 279, 269, 1284, 1616, 547, 917, 952, 1535, 317, 273, 910, 476, 272, 815, 630, 343, 268, 272, 7565, 343, 266, 272, 264, 568, 16883, 676, 476, 2190, 269, 18564, 602, 1535, 268, 272, 543, 1535, 266, 272, 616, 9674, 676, 476, 273, 267, 865, 789, 616, 2901, 15654, 9642, 9981, 610, 15654, 1256, 9981, 269, 3245, 15048, 476, 272, 267, 649, 1451, 602, 1535, 568, 9642, 267, 865, 1535, 268, 272, 543, 1535, 266, 13718, 2421, 27950, 26791, 692, 307, 826, 4119, 476, 736, 267, 476, 1001, 280, 476, 276, 281, 4343, 993, 454, 2690, 636, 281, 17918, 4569, 454, 307, 8084, 281, 26712, 9539, 3784, 16544, 2433, 10261, 2241, 7778, 547, 4194, 454, 28806, 281, 476, 272, 454, 21366, 281, 476, 25908, 274, 692, 2971, 769, 1773, 583, 1105, 9373, 1440, 2478, 267, 476, 3583, 260, 540, 519, 5520, 616, 2344, 619, 10484, 30607, 9046, 14572, 692, 2252, 519, 2949, 3328, 568, 1269, 3199, 267, 1822, 267, 543, 519, 8030, 262, 3328, 568, 259, 3199, 267, 1822, 267, 649, 666, 1175, 11716, 519, 8030, 267, 1317, 1519, 873, 4465, 1405, 1689, 519, 3328, 269, 4595, 476, 3583, 260, 540, 5520, 616, 2344, 619, 543, 476, 1015, 260, 616, 9946, 267, 519, 5223, 540, 2344, 619, 547, 9946, 568, 476, 278, 547, 476, 272, 269, 1924, 267, 676, 782, 12720, 3741, 267, 519, 1253, 13718, 2421, 27950, 26791, 692, 307, 826, 4119, 476, 736, 267, 476, 1001, 280, 476, 276, 281, 3953, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 769, 1773, 583, 1105, 9373, 1440, 2478, 267, 476, 3583, 260, 540, 519, 5520, 616, 2344, 619, 2676, 28806, 281, 476, 275, 454, 21366, 281, 476, 30156, 692, 2971, 634, 1762, 19762, 560, 1537, 18364, 17939, 5964, 667, 4040, 334, 568, 513, 3020, 605, 323, 692, 30607, 11879, 25705, 692, 296, 1810, 1405, 1589, 621, 781, 2312, 1256, 1018, 834, 1492, 3932, 257, 540, 519, 4661, 568, 267, 607, 519, 6565, 568, 2262, 539, 269, 898, 4667, 547, 723, 1079, 8753, 269, 1772, 519, 3932, 602, 667, 4040, 334, 568, 834, 320, 3020, 605, 21745, 344, 22172, 2107, 568, 519, 3932, 602, 646, 666, 5431, 950, 606, 6293, 568, 834, 16838, 513, 3787, 856, 540, 19820, 22172, 1403, 621, 781, 519, 5449, 267, 649, 9364, 581, 27250, 2421, 27950, 26791, 692, 12507, 4119, 476, 866, 267, 476, 1001, 280, 476, 279, 281, 3066, 993, 454, 2690, 636, 281, 11879, 25705, 454, 307, 8084, 281, 634, 1762, 19762, 560, 1537, 18364, 17939, 5964, 667, 4040, 334, 568, 513, 3020, 605, 323, 454, 28806, 281, 476, 272, 454, 21366, 281, 476, 14225, 692, 2971, 589, 1942, 15807, 3070, 547, 519, 1966, 540, 19633, 7249, 652, 328, 692, 30607, 11879, 25705, 692, 763, 4661, 3081, 267, 538, 851, 267, 834, 2280, 781, 2569, 5533, 676, 13868, 14742, 609, 14884, 2668, 2334, 781, 711 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14503, 1662, 11568, 538, 4432, 11312, 267, 21015, 543, 6186, 1546, 1188, 630, 1556, 2187, 8489, 568, 519, 10699, 1388, 26187, 320, 888, 534, 10262, 547, 519, 23969, 4745, 543, 568, 513, 21083, 4965, 4646, 1063, 1079, 2062, 1301, 6091, 454, 1432, 1079, 6091, 1106, 519, 7750, 1388, 6522, 320, 888, 268, 24865, 689, 519, 14694, 24101, 571, 1718, 2643, 541, 25170, 540, 1208, 518, 639, 454, 763, 5731, 1807, 1855, 637, 454, 268, 689, 519, 31443, 12473, 1180, 1803, 540, 519, 1208, 518, 639, 454, 1432, 568, 519, 12476, 540, 519, 10699, 1388, 26187, 320, 888, 534, 16494, 8880, 1899, 1063, 31443, 543, 14694, 12473, 1180, 5138, 454, 268, 519, 5127, 568, 519, 2909, 577, 658, 529, 4887, 454, 1432, 616, 519, 2101, 9115, 540, 519, 7750, 1388, 26187, 320, 286, 689, 4234, 547, 31443, 454, 5228, 14694, 547, 31443, 454, 268, 25688, 540, 22833, 10134, 2909, 577, 4512, 454, 268, 2909, 577, 658, 16050, 630, 6518, 786, 536, 604, 584, 322, 622, 883, 986, 573, 658, 543, 12804, 333, 541, 16209, 994, 268, 11667, 8229, 267, 713, 6013, 5612, 31443, 547, 519, 2909, 577, 658, 16050, 543, 3762, 519, 6522, 320, 676, 8429, 1063, 12804, 333, 541, 543, 1208, 1968, 9843, 540, 5731, 1807, 751, 637, 4887, 454, 1692, 1281, 519, 2405, 1014, 8229, 4734, 519, 10699, 1388, 26187, 320, 888, 527, 6013, 5612, 31443, 547, 519, 2909, 577, 658, 16050, 454, 268, 3762, 519, 6522, 320, 676, 8429, 1063, 12804, 333, 541, 543, 1208, 1968, 9843, 540, 519, 5731, 1807, 751, 637, 4887, 454, 8489, 568, 519, 7101, 658, 715, 2925, 888, 15533, 896, 519, 9067, 540, 519, 2909, 14024, 2784, 658, 529, 267, 799, 3029, 519, 14694, 14345, 540, 519, 6522, 320, 454, 268, 896, 519, 2909, 577, 1640, 611, 658, 529, 519, 24293, 8229, 536, 604, 584, 322, 919, 883, 21603, 543, 2620, 8371, 454, 1432, 798, 519, 21603, 543, 2620, 24293, 13285, 798, 888, 268, 21603, 5170, 883, 2062, 1301, 2620, 547, 519, 2909, 577, 1640, 611, 658, 529, 4887, 454, 268, 519, 2620, 4839, 3832, 10596, 1063, 1079, 9843, 540, 647, 11017, 1807, 4887, 547, 1569, 519, 17911, 26654, 540, 519, 2062, 1301, 454, 8489, 1281, 519, 772, 15238, 541, 8229, 538, 6935, 547, 519, 10699, 1388, 26187, 320, 888, 1492, 12804, 333, 541, 8229, 1281, 711, 1780, 998, 519, 7750, 1388, 6522, 320, 855, 3079, 10596, 17911, 547, 519, 31443, 12473, 1180, 1803, 454, 1432, 3029, 519, 8122, 540, 519, 7750, 1388, 6522, 320, 888, 27273, 325, 2772, 3673, 807, 543, 2960, 454, 268, 519, 31443, 7750, 1388, 18916, 799, 10596, 25241, 958, 2066, 519, 8122, 543, 598, 10811, 551, 519, 524, 31525, 545, 609, 24958, 545, 18916, 454, 8489, 568, 519, 8953, 888, 331, 8632, 538, 2990, 0, 310, 2969, 2207, 21612, 294, 24493, 14120, 519, 6107, 1604, 21895, 799, 14626, 3660, 609, 519, 4139, 4303, 585, 18143, 26085, 593, 2904, 476, 2420, 267, 15272, 4856, 1676, 9575, 909, 609, 930, 6103, 476, 1556, 6267, 689, 1585, 3506, 607, 1134, 607, 513, 3803, 1032, 12443, 23855, 545, 540, 21601, 28992, 1053, 945, 3838, 741, 2833, 1282, 513, 3018, 17489, 2361, 7552, 547, 519, 4826, 6199, 5244, 563, 763, 6267, 4481, 6743, 693, 1614, 3334, 12077, 267, 17382, 1958, 549, 16670, 267, 9235, 543, 678, 13370, 663, 2359, 1472, 519, 6288, 563, 306, 2684, 807, 715, 340, 8500, 27376, 267, 945, 568, 513, 7186, 11094, 3803, 1032, 12443, 23855, 545, 2875, 267, 3081, 14120, 519, 1554, 585, 1200, 1797, 267, 968, 1998, 5224, 1018, 649, 723, 543, 1510, 2470, 267, 649, 616, 4986, 6100, 2701, 568, 4867, 3257, 1200, 1382, 1788, 538, 519, 27386, 10651, 267, 1247, 593, 22631, 1222, 693, 661, 706, 268, 26136, 269, 2701, 3081, 1200, 1858, 540, 1445, 568, 2249, 17381, 267, 4763, 543, 11606, 593, 1507, 11864, 538, 519, 27386, 10651, 269, 715, 340, 8500, 27376, 3081, 835, 2115, 547, 1353, 968, 8243, 691, 892, 607, 519, 2361, 3340, 513, 2603, 540, 1780, 7436, 543, 711, 1152, 476, 1839, 607, 513, 5934, 10421, 585, 24596, 7127, 267, 855, 1657, 476, 1789, 2798, 547, 581, 15861, 269, 2701, 2206, 956, 856, 4400, 557, 671, 267, 17382, 267, 4552, 344, 3723, 539, 267, 1668, 1506, 26904, 4552, 344, 3723, 539, 575, 8538, 2812, 607, 1134, 607, 519, 9390, 7510, 326, 3240, 543, 3162, 3979, 533, 31189, 10856, 607, 1455, 562, 2137, 563, 307, 639, 6773, 1372, 1284, 344, 21343, 689, 519, 21411, 752, 541, 4673, 18947, 18520, 3427, 3081, 1352, 4121, 513, 2603, 607, 789, 1185, 547, 4163, 856, 1382, 547, 1265, 856, 519, 5294, 543, 931, 1472, 519, 4826, 6199, 5244, 538, 1114, 2127, 971, 607, 13155, 2249, 269, 2701, 8591, 602, 789, 1185, 547, 1293, 519, 1297, 540, 13155, 2249, 971, 607, 519, 10889, 531, 3996, 543, 3043, 543, 3109, 11002, 16394, 269, 968, 2171, 849, 12038, 547, 1585, 14666, 547, 1265, 856, 827, 741, 2833, 1472, 519, 6288, 269, 2368, 941, 711, 6126, 267, 538, 1880, 609, 519, 5989, 269, 594, 1616, 547, 1831, 513, 12875, 6651, 835, 1554, 1317, 519, 1995, 693, 4826, 6199, 6026, 803, 513, 2603, 2223, 1352, 4967, 563, 290, 4958, 7770, 23688, 329, 822, 1731, 7699, 267, 849, 689, 519, 21411, 752, 541, 4673, 18947, 18520, 3427, 1705, 2361, 960, 593, 17382, 1958, 549, 16670, 269, 968, 2690, 1142, 1858, 267, 649, 1031, 513, 1114, 6223, 267, 543, 649, 1287, 3893, 938, 2164, 269, 1284, 4857, 1114, 2249, 543, 1705, 938, 6371, 3382, 269, 1284, 849, 4682, 585, 632, 1532, 5241, 3635, 543, 972, 649, 4718, 930, 1750, 29609, 338, 2223, 1352, 6920, 563, 5194, 2875, 689, 519, 1482, 1153, 267, 16334, 329, 877, 2098, 320, 1180, 10937, 267, 3081, 789, 5342, 513, 5619, 593, 1079, 11396, 1472, 4826, 6199, 269, 968, 2171, 1031, 1114, 2409, 547, 2932, 519, 5619, 267, 649, 1705, 513, 6223, 1505, 543, 649, 4857, 1114, 6371, 2249, 269, 594, 723, 4121, 513, 2603, 540, 1114, 2249, 543, 621, 568, 513, 1390, 4316, 585, 803, 2899, 594, 2347, 1250, 6103, 476, 1321, 547, 11654, 7186, 11094, 2090, 2223, 646, 6920, 563, 14976, 9626, 2549, 340, 25222, 689, 670, 5255, 1633, 4400, 3427, 2829, 602, 789, 1185, 1614, 3584, 267, 12077, 4264, 17382, 1958, 549, 16670, 267, 9235, 543, 678, 13370, 663, 2359, 269, 4173, 1445, 729, 593, 519, 9265, 540, 4264, 9235, 269, 968, 2171, 1185, 1614, 1292, 6859, 799, 835, 729, 547, 2697, 13155, 543, 1455, 2249, 1336, 538, 519, 6288, 269, 20638, 1297, 1079, 729, 547, 2932, 11042, 609, 14666, 543, 5234, 827, 741, 2833, 1472, 519, 2073, 543, 519, 3791, 835, 729, 547, 2932, 12220, 593, 3653, 2359, 269, 1284, 4280, 519, 5234, 1934, 875, 789, 4383, 741, 3653, 547, 1832, 519, 1747, 2973, 269, 1358, 1767, 835, 540, 519, 1966, 568, 519, 3777, 9398, 799, 7363, 16150, 1472, 519, 3653, 585, 1426, 3190, 532, 519, 1747, 909, 2223, 1352, 3081, 563, 301, 724, 12011, 517, 1415, 324, 17363, 689, 589, 2529, 1222, 6511, 18520, 3427, 3081, 646, 849, 4121, 513, 2603, 676, 5967, 532, 5234, 3823, 9235, 267, 3653, 2359, 543, 593, 519, 1114, 2249, 1336, 1472, 519, 6288, 269, 1261, 849, 4121, 519, 2956, 540, 1507, 7786, 543, 11864, 547, 519, 1604, 267, 799, 568, 547, 3049, 824, 2831, 543, 849, 6971, 17382, 1958, 549, 16670, 563, 763, 6267, 941, 782, 2016, 22783, 676, 519, 3493, 14280, 10579, 540, 5113, 543, 21094, 267, 570, 20207, 715, 3711, 24660, 267, 607, 513, 18351, 540, 7071, 585, 741, 3018, 17489, 2361, 7552, 1472, 4826, 6199, 269, 0, 1432, 1684, 16503, 21116, 1684, 888, 297, 712, 7958, 910, 7689, 476, 278, 454, 29309, 670, 13616, 910, 6103, 476, 274, 454, 29973, 7726, 10778, 20597, 650, 540, 519, 10432, 2433, 7956, 1299, 18753, 17972, 454, 1103, 845, 1049, 5931, 2270, 1257, 2934, 267, 971, 607, 26333, 267, 4633, 31148, 267, 543, 8666, 3061, 687, 267, 602, 666, 948, 3988, 12398, 1344, 3533, 563, 288, 18308, 1419, 946, 8642, 2934, 267, 971, 607, 12383, 267, 7851, 267, 12125, 267, 610, 11708, 267, 1317, 891, 3308, 2934, 666, 1118, 1344, 4443, 547, 1174, 563, 8967, 2454, 9293, 2433, 476, 274, 4484, 13421, 454, 268, 4952, 910, 547, 1294, 513, 4605, 538, 707, 2247, 454, 268, 2645, 910, 1919, 1004, 946, 547, 948, 873, 798, 513, 2816, 454, 268, 9414, 910, 547, 1118, 5961, 602, 1397, 1945, 454, 268, 31163, 7632, 910, 12400, 610, 546, 22751, 267, 6537, 538, 513, 2656, 610, 1416, 1652, 1259, 454, 268, 25780, 910, 2656, 267, 2241, 12400, 454, 268, 16439, 910, 25718, 519, 7291, 610, 3337, 540, 1945, 454, 268, 1382, 910, 1729, 3406, 585, 543, 1353, 1344, 827, 513, 1888, 454, 268, 18282, 910, 1114, 2081, 602, 7252, 1413, 543, 1745, 0, 9349, 518, 570, 6115, 454, 2252, 596, 1616, 547, 12740, 3054, 909, 267, 12740, 909, 2576, 3116, 563, 9349, 518, 570, 654, 4770, 517, 454, 9349, 518, 570, 6115, 729, 513, 5449, 10553, 593, 513, 24873, 269, 3245, 1010, 18803, 20297, 607, 513, 10553, 547, 1010, 2864, 14547, 2663, 1272, 646, 12630, 519, 6079, 540, 519, 7862, 540, 3979, 4892, 269, 3883, 518, 19262, 513, 9702, 1317, 540, 1010, 7418, 547, 3109, 3979, 4892, 538, 713, 2197, 269, 0, 763, 20599, 568, 2813, 676, 4619, 528, 18367, 18315, 1247, 693, 519, 6280, 540, 3824, 565, 26684, 339, 11526, 883, 513, 12404, 748, 543, 17254, 4842, 13442, 267, 519, 20599, 8188, 18349, 513, 269, 769, 713, 4670, 267, 18367, 18315, 781, 20599, 568, 538, 799, 1079, 3744, 7011, 1782, 513, 18367, 18315, 781, 15065, 3122, 6438, 13442, 1210, 18367, 18315, 538, 2442, 2528, 269, 29975, 568, 513, 476, 4350, 272, 7819, 840, 2275, 1712, 16897, 20599, 4670, 689, 1082, 540, 519, 7766, 8874, 799, 12286, 18367, 18315, 781, 20599, 1629, 1774, 519, 13442, 547, 513, 269, 29975, 779, 20599, 568, 513, 14070, 1915, 689, 29827, 519, 20599, 568, 849, 1572, 13442, 18664, 529, 737, 22611, 4752, 781, 7260, 9542, 540, 18367, 18315, 781, 20599, 269, 25175, 568, 4847, 547, 1118, 513, 7260, 827, 1951, 1529, 320, 1482, 4422, 585, 18367, 18315, 779, 20599, 267, 607, 1279, 607, 519, 13442, 3085, 1406, 1413, 1932, 1454, 899, 519, 28642, 17962, 2203, 269, 1284, 4312, 588, 17097, 1927, 513, 1592, 7260, 15065, 3122, 11655, 786, 18367, 18315, 781, 7260, 1686, 281, 29122, 632, 562, 10098, 607, 519, 13442, 543, 4839, 27895, 5128, 607, 4619, 528, 269, 26826, 552, 1188, 28496, 781, 1775, 267, 18367, 18315, 13442, 12987, 513, 1413, 693, 519, 11051, 945, 4312, 5129, 29827, 6692, 2917, 781, 556, 534, 13846, 812, 269, 1261, 568, 1193, 22931, 676, 519, 20599, 950, 519, 13442, 568, 21616, 827, 9561, 1018, 616, 930, 1915, 7592, 585, 1312, 4619, 528, 18367, 18315, 543, 519, 20599, 538, 519, 563, 763, 4013, 2985, 540, 13442, 9858, 910, 519, 18367, 18315, 1950, 682, 1950, 324, 632, 18367, 18315, 267, 682, 4670, 513, 17157, 689, 519, 9910, 1673, 665, 2713, 609, 28749, 269, 4658, 779, 11994, 540, 519, 13442, 723, 1831, 865, 2112, 6244, 676, 942, 543, 5756, 540, 22801, 4670, 19297, 543, 2376, 10643, 602, 1034, 946, 519, 2012, 968, 325, 17213, 18315, 269, 5192, 606, 2626, 585, 1412, 4754, 596, 1865, 519, 4664, 538, 18367, 18315, 262, 543, 1265, 538, 18367, 18315, 267, 875, 1281, 519, 13442, 2014, 4619, 528, 18367, 18315, 543, 519, 20599, 538, 269, 634, 544, 32121, 8471, 28749, 1397, 814, 519, 27379, 540, 18367, 18315, 676, 795, 517, 11936, 3276, 2023, 267, 13442, 689, 519, 11269, 540, 519, 2707, 9413, 568, 269, 898, 4667, 1022, 942, 2576, 4016, 547, 519, 13442, 538, 29827, 6692, 2917, 779, 18367, 18315, 607, 968, 325, 17213, 18315, 892, 930, 7895, 656, 786, 669, 830, 538, 609, 513, 7873, 525, 322, 2056, 267, 968, 7795, 332, 269, 910, 568, 18367, 18315, 513, 13442, 610, 20599, 519, 18572, 540, 4619, 528, 779, 13442, 267, 519, 20599, 267, 538, 519, 7260, 4352, 10169, 13497, 1114, 563, 1607, 7260, 28749, 538, 3332, 3126, 2934, 18367, 18315, 543, 1866, 262, 8129, 543, 3310, 538, 3332, 267, 4670, 267, 543, 2442, 2528, 269, 15526, 6487, 519, 11599, 7260, 20599, 8117, 1934, 616, 4557, 1919, 596, 1522, 711, 723, 1634, 827, 18367, 18315, 543, 1010, 5137, 269, 29975, 281, 3297, 519, 20599, 1159, 1662, 6692, 2917, 781, 13442, 3592, 476, 736, 1296, 1354, 519, 4417, 540, 3280, 538, 4670, 267, 621, 2982, 4619, 528, 18367, 18315, 538, 513, 6469, 563, 31819, 596, 2479 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4882, 969, 29793, 2120, 262, 4939, 630, 1598, 4433, 969, 334, 1070, 1193, 263, 4120, 17903, 1038, 1948, 657, 269, 17882, 263, 12252, 3418, 1038, 1948, 2745, 4971, 5897, 1038, 2990, 815, 703, 3488, 260, 323, 262, 4939, 630, 4120, 17903, 1038, 952, 1425, 334, 2652, 476, 273, 6769, 1038, 1948, 3966, 1477, 2018, 952, 2990, 13843, 476, 1015, 543, 2990, 2999, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 271, 257, 266, 1598, 263, 6570, 11924, 257, 321, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 289, 476, 1015, 268, 1911, 2411, 955, 29177, 2018, 8640, 2990, 2999, 476, 1015, 6769, 3546, 3977, 815, 834, 258, 876, 257, 266, 1598, 263, 6570, 11924, 257, 321, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 289, 476, 271, 268, 1015, 2411, 955, 29177, 2018, 8640, 2990, 13843, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 257, 266, 1598, 263, 6570, 11924, 257, 321, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 289, 476, 1911, 266, 2411, 955, 29177, 2018, 1820, 3977, 1477, 453, 825, 952, 16788, 11203, 1412, 273, 262, 6769, 3546, 2518, 1583, 1477, 3546, 1583, 22182, 263, 16059, 3418, 2018, 8640, 16788, 2652, 1412, 273, 262, 6769, 3546, 31641, 6618, 263, 16059, 3418, 453, 11434, 1477, 1038, 1948, 339, 2830, 1363, 1477, 1038, 952, 1425, 334, 2652, 476, 276, 281, 5897, 453, 24541, 2018, 952, 2990, 13843, 476, 1015, 543, 476, 2990, 2999, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 271, 257, 266, 1598, 263, 6570, 11924, 257, 320, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 288, 476, 1015, 268, 1911, 2411, 955, 29177, 2018, 8640, 2990, 2999, 476, 1015, 6769, 3546, 3977, 815, 834, 258, 876, 257, 266, 1598, 263, 6570, 11924, 257, 320, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 288, 476, 271, 268, 1015, 2411, 955, 29177, 2018, 8640, 2990, 13843, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 257, 266, 1598, 263, 6570, 11924, 257, 320, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 288, 476, 1911, 266, 2411, 955, 29177, 2018, 1820, 3977, 1477, 2018, 952, 16788, 11203, 1412, 273, 262, 6769, 3546, 2518, 1583, 1477, 3546, 1583, 22182, 263, 16059, 3418, 2018, 3116, 6769, 3546, 31641, 6618, 263, 16059, 3418, 453, 825, 3977, 273, 815, 834, 7224, 6358, 29177, 453, 825, 1820, 3977, 273, 1477, 2018, 952, 2990, 10922, 476, 3199, 610, 2990, 13843, 476, 10755, 6769, 453, 1038, 952, 2990, 10922, 476, 3199, 6769, 4848, 825, 1820, 834, 10900, 9339, 16810, 5785, 29177, 4848, 825, 3977, 273, 815, 834, 322, 28872, 2437, 1477, 4848, 825, 1820, 3977, 273, 1477, 453, 1038, 8640, 2990, 13843, 10755, 6769, 4848, 825, 1820, 834, 10900, 955, 268, 291, 32052, 10900, 9339, 268, 29177, 4848, 825, 3977, 273, 815, 834, 323, 28872, 2437, 1477, 4848, 825, 1820, 3977, 273, 1477, 453, 453, 29514, 1583, 272, 1477, 453, 1038, 1583, 272, 22182, 263, 16059, 273, 264, 453, 567, 1477, 453, 1038, 1820, 834, 20594, 20594, 20594, 20594, 29177, 453, 825, 1477, 453, 16875, 1477, 2018, 1477, 1038, 1948, 5503, 4732, 2748, 263, 271, 269, 273, 3418, 1038, 2518, 942, 719, 1477, 1038, 1948, 5503, 719, 642, 3233, 2520, 1998, 2520, 345, 32218, 1207, 527, 523, 1982, 2742, 737, 558, 339, 1477, 1038, 942, 719, 815, 942, 28333, 14052, 453, 258, 5503, 4732, 2748, 263, 271, 269, 273, 264, 21506, 1038, 1820, 942, 719, 1477, 453, 29514, 759, 996, 697, 1477, 453, 637, 996, 697, 815, 759, 996, 697, 1341, 272, 1477, 13537, 834, 637, 564, 834, 266, 1598, 263, 637, 996, 697, 270, 273, 11924, 257, 270, 276, 29177, 825, 3116, 6769, 1038, 1820, 834, 306, 969, 334, 5086, 1590, 581, 606, 8870, 1063, 476, 271, 543, 476, 27149, 26142, 333, 257, 24653, 258, 2411, 9339, 268, 763, 6301, 2411, 9339, 1477, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 24541, 825, 1948, 3918, 4696, 3403, 547, 1205, 2823, 585, 1425, 334, 1477, 825, 2823, 815, 6151, 17750, 3488, 1432, 18292, 2823, 547, 946, 585, 1425, 657, 286, 476, 271, 585, 512, 1399, 3722, 300, 271, 2073, 476, 272, 585, 512, 1399, 3722, 300, 272, 26012, 1412, 15234, 3299, 476, 273, 585, 29402, 1496, 8705, 940, 946, 1152, 950, 707, 2386, 27573, 31641, 740, 816, 568, 4295, 551, 13912, 281, 15981, 3418, 825, 952, 2823, 2652, 1412, 271, 262, 6769, 1038, 2518, 1583, 1477, 1038, 1583, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 271, 3299, 476, 31634, 271, 3418, 13537, 834, 338, 969, 334, 781, 4448, 547, 721, 321, 271, 29177, 825, 952, 2823, 2652, 1412, 272, 262, 6769, 1038, 2518, 1583, 1477, 1038, 1583, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 272, 3299, 476, 31634, 271, 3418, 13537, 834, 338, 969, 334, 781, 4448, 547, 721, 321, 272, 29177, 825, 952, 2823, 2652, 1412, 273, 262, 6769, 1038, 31641, 6618, 18011, 313, 20298, 24541, 825, 942, 4732, 2748, 263, 271, 269, 273, 3418, 24541, 825, 1948, 1348, 3403, 585, 2823, 20336, 304, 2848, 3899, 17120, 1477, 825, 1477, 825, 952, 2823, 2652, 1412, 271, 262, 6769, 1038, 2518, 1583, 272, 1477, 1038, 1583, 272, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 272, 3299, 476, 31634, 271, 3418, 13537, 834, 4614, 3899, 4448, 547, 721, 321, 272, 29177, 825, 952, 2823, 2652, 1412, 272, 262, 6769, 1038, 2518, 1583, 272, 1477, 1038, 1583, 272, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 271, 3299, 476, 31634, 271, 264, 825, 1477, 13537, 834, 4614, 3899, 4448, 547, 721, 321, 271, 29177, 24541, 1363, 1477, 825, 1948, 1612, 572, 4699, 323, 1899, 3681, 267, 14764, 12794, 541, 29976, 1477, 825, 16163, 518, 815, 26840, 303, 32242, 263, 639, 720, 815, 834, 639, 720, 281, 4939, 2889, 326, 1496, 9953, 687, 316, 1496, 31748, 5028, 16229, 316, 14744, 825, 16163, 518, 14491, 318, 641, 5406, 2891, 268, 322, 2580, 834, 734, 322, 2444, 1228, 2580, 2962, 6889, 32697, 2580, 3186, 6889, 322, 2444, 1228, 2580, 1826, 6889, 1598, 2580, 948, 6889, 295, 320, 541, 22107, 1228, 3758, 267, 9949, 4939, 29239, 2580, 9949, 815, 834, 32220, 3873, 2117, 2444, 1228, 6958, 30613, 2183, 318, 5306, 11859, 6447, 8442, 258, 322, 2444, 1228, 3758, 666, 581, 4957, 1477, 825, 630, 9953, 687, 267, 26571, 264, 815, 16163, 518, 269, 27785, 318, 16911, 31476, 825, 22107, 1228, 815, 20956, 11482, 1933, 263, 9953, 687, 6983, 2444, 1228, 10142, 825, 952, 7003, 263, 16911, 264, 11203, 476, 272, 6769, 1038, 16163, 518, 31428, 318, 15276, 14052, 1038, 19523, 20216, 527, 263, 272, 10142, 825, 3403, 12173, 815, 26571, 314, 271, 15947, 825, 952, 3403, 12173, 18994, 323, 13424, 28399, 1038, 7001, 815, 20956, 5861, 5273, 23173, 5028, 290, 2194, 675, 17301, 9272, 12173, 17903, 825, 3116, 6769, 1038, 1820, 834, 2171, 991, 513, 8254, 3403, 256, 10410, 1518, 8254, 4994, 552, 3052, 269, 476, 271, 29177, 1038, 19523, 20216, 527, 263, 271, 3418, 5897, 825, 2626, 815, 6151, 17750, 3488, 4777, 596, 991, 18849, 942, 286, 9811, 314, 272, 316, 610, 1100, 314, 271, 316, 610, 630, 13433, 609, 264, 19268, 314, 274, 316, 20298, 825, 952, 2626, 2652, 1412, 272, 262, 610, 2626, 2652, 262, 274, 262, 6769, 14851, 2626, 2652, 262, 274, 262, 6769, 453, 825, 1583, 272, 22182, 2891, 337, 14744, 1038, 1820, 834, 321, 17415, 281, 257, 24541, 453, 5503, 4732, 2748, 263, 279, 3418, 672, 13537, 834, 272, 270, 274, 18849, 942, 29177, 672, 453, 5503, 4732, 2748, 263, 279, 3418, 672, 13537, 834, 273, 270, 274, 18849, 942, 29177, 672, 453, 5503, 4732, 2748, 263, 277, 3418, 672, 13537, 834, 274, 270, 274, 18849, 942, 8737, 29177, 825, 3116, 2433, 21506, 13537, 834, 321, 2393, 1236, 5792, 257, 24653, 825, 20956, 12991, 3139, 20360, 578, 2891, 14310, 2580, 476, 272, 10142, 825, 952, 7001, 6769, 1038, 7406, 6831, 4878, 815, 7183, 5897, 1038, 1847, 263, 3966, 294, 335, 1470, 303, 514, 267, 476, 3445, 267, 2823, 3418, 1038, 1847, 6025, 2830, 294, 335, 1470, 303, 514, 267, 476, 1911, 267, 2823, 10142, 1038, 1247, 6936, 6769, 2018, 7406, 815, 20956, 269, 5226, 2044, 20988, 6262, 2194, 675, 3418, 2018, 952, 711, 7406, 6769, 3546, 20956, 15030, 7159, 7659, 263, 271, 3418, 3546, 2736, 1477, 2018, 952, 711, 7406, 6831, 4878, 6769, 3546, 7406, 6831, 4878, 815, 20956, 5861, 5273, 15862, 9230, 18134, 9884, 5954, 267, 18134, 269, 19417, 1070, 1477, 14030, 2018, 20956, 269, 7709, 299, 32707, 7968, 8025, 318, 279, 308, 267, 7406, 8542, 2419, 2335, 1564, 3418, 2018, 952, 7406, 269, 10594, 514, 2652, 20956, 269, 7709, 299, 318, 3036, 5456, 2562, 318, 26950, 6769, 3546, 20956, 5861, 4878, 6600, 9347, 267, 7406, 6831, 4878, 3418, 2018, 3116, 6769, 3546, 20956, 12171, 28309, 6600, 9347, 267, 7406, 6831, 4878, 267, 476, 271, 10142, 2018, 4571, 306, 10547, 311, 815, 630, 18134, 9884, 5954, 270, 273, 3418, 2018, 4571, 306, 10547, 312, 815, 630, 18134, 269, 19417, 270, 273, 10142, 2018, 4571, 293, 864, 815, 3713, 318, 663, 5091, 3863, 6600, 9347, 6831, 4878, 267, 22107, 1228, 10142, 2018, 952, 4571, 293, 864, 568, 711, 7183, 6769, 3546, 4571, 293, 864, 311, 815, 4571, 293, 864, 314, 271, 15947, 3546, 4571, 293, 864, 312, 815, 4571, 293, 864, 314, 272, 316, 5897, 3546, 1948, 8340, 856, 952, 519, 2473, 5057, 540, 519, 3068, 568, 547, 519, 2451, 540, 519, 1647, 540, 519, 5496, 23228, 3546, 952, 9852, 573, 293, 864, 311, 2999, 630, 13232, 306, 10547, 311, 910, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 1948, 10000, 11845, 519, 3443, 2990, 4756, 547, 1847, 519, 1425, 334, 547, 519, 1318, 23228, 7386, 1425, 334, 32292, 303, 3789, 6834, 3443, 3721, 23917, 1477, 7386, 1820, 1193, 9852, 573, 293, 864, 311, 264, 1341, 834, 3436, 834, 1341, 1193, 9852, 573, 306, 10547, 311, 264, 1341, 834, 2433, 7754, 9406, 2433, 834, 1341, 1193, 4433, 969, 334, 32292, 303, 3789, 3418, 3546, 1948, 8340, 856, 952, 519, 2473, 5057, 540, 519, 3068, 568, 547, 519, 1318, 540, 519, 1647, 540, 519, 5496, 23228, 3546, 8640, 9852, 573, 293, 864, 311, 3436, 630, 13232, 306, 10547, 311, 1341, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 1948, 10000, 11845, 519, 3443, 2990, 4756, 547, 1847, 519, 1425, 334, 547, 519, 2451, 23228, 7386, 1425, 334, 32292, 303, 3789, 20699, 3443, 3721, 23917, 1477, 7386, 1820, 1193, 9852, 573, 293, 864, 311, 264, 1341, 834, 2999, 834, 1341, 1193, 9852, 573, 306, 10547, 311, 264, 1341, 834, 2433, 7754, 19382, 2433, 834, 1341, 1193, 4433, 969, 334, 32292, 303, 3789, 3418, 3546, 3116, 6769, 7386, 1820, 1193, 9852, 573, 293, 864, 311, 264, 1341, 834, 9625, 834, 1341, 1193, 9852, 573, 306, 10547, 311, 264, 1341, 834, 2433, 834, 1341, 1193, 4433, 969, 334, 32292, 303, 3789, 10142, 3546, 1425, 334, 32292, 303, 3789, 815, 1295, 4433, 969, 334, 32292, 303, 3789, 267, 3193, 7272, 342, 332, 3418, 3546, 1425, 334, 32292, 303, 3789, 815, 3193, 4433, 969, 334, 32292, 303, 3789, 267, 1295, 7272, 342, 332, 264, 25639, 1477, 3546, 1847, 263, 3966, 294, 335, 1470, 303, 514, 267, 1425, 334, 32292, 303, 3789, 267, 2823, 10142, 3546, 1948, 8340, 856, 952, 519, 962, 5057, 540, 519, 3068, 568, 2630, 519, 1647, 540, 519, 5496, 23228, 3546, 952, 9852, 573, 293, 864, 312, 2999, 630, 13232, 306, 10547, 312, 910, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 952, 4433, 969, 11561, 2830, 303, 3789, 13843, 476, 272, 8029, 13376, 1948, 10000, 11845, 519, 28550, 2990, 4756, 547, 6318, 519, 28550, 1425, 334, 23228, 13376, 1425, 11561, 2830, 303, 3789, 6834, 28550, 3721, 23917, 1477, 13376, 1820, 1193, 9852, 573, 293, 864, 312, 264, 1341, 834, 2999, 834, 1341, 1193, 9852, 573, 306, 10547, 312, 264, 1341, 834, 2433, 570, 2830, 5455, 2433, 834, 1341, 1193, 4433, 969, 11561, 2830, 303, 3789, 3418, 3546, 1948, 8340, 856, 952, 519, 962, 5057, 540, 519, 3068, 568, 1657, 519, 1647, 540, 519, 5496, 23228, 3546, 8640, 9852, 573, 293, 864, 312, 3436, 630, 13232, 306, 10547, 312, 1341, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 952, 4433, 969, 11561, 2830, 303, 3789, 10922, 3193, 7272, 342, 332, 8029, 13376, 1948, 10000, 11845, 519, 28550, 2990, 4756, 547, 2539, 519, 28550, 1425, 334, 23228, 13376, 1425, 11561, 2830, 303, 3789, 20699, 28550, 3721, 23917, 1477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 649, 1101, 3489, 1535, 317, 273, 267, 543, 9062, 621, 676, 476, 274, 547, 1205, 476, 274, 343, 317, 273, 269, 5804, 476, 274, 343, 317, 273, 267, 649, 10208, 476, 276, 547, 6368, 12446, 693, 476, 274, 343, 317, 273, 5889, 19050, 382, 497, 476, 276, 269, 898, 568, 7936, 540, 6128, 538, 799, 2560, 476, 1556, 343, 910, 476, 278, 344, 910, 273, 343, 910, 476, 274, 343, 269, 815, 476, 278, 320, 910, 476, 274, 320, 910, 476, 274, 321, 1341, 476, 280, 321, 1341, 476, 275, 629, 910, 476, 277, 629, 476, 6892, 9890, 476, 6892, 6582, 519, 899, 2474, 1403, 561, 815, 476, 276, 4699, 1421, 519, 1858, 568, 476, 276, 317, 273, 4699, 317, 273, 610, 476, 1839, 4699, 317, 273, 282, 952, 519, 2427, 568, 476, 1015, 4699, 267, 519, 1858, 568, 476, 1015, 317, 273, 4699, 317, 273, 610, 476, 1911, 4699, 317, 273, 663, 865, 593, 269, 815, 11196, 276, 910, 476, 275, 264, 345, 276, 1341, 11196, 274, 1341, 476, 278, 264, 345, 274, 1341, 630, 279, 910, 476, 272, 264, 345, 1341, 476, 273, 476, 6892, 9890, 476, 6892, 9192, 899, 2474, 269, 1809, 3689, 281, 1118, 2386, 519, 7787, 4082, 568, 538, 9803, 2474, 256, 16265, 847, 476, 1321, 15383, 689, 476, 2767, 15383, 16265, 847, 476, 275, 343, 1341, 476, 274, 344, 1341, 1990, 689, 476, 273, 343, 1341, 476, 274, 344, 910, 1990, 269, 8307, 519, 10230, 14170, 616, 1114, 269, 2474, 616, 3773, 547, 1106, 606, 4082, 269, 9617, 607, 519, 2474, 476, 276, 343, 543, 910, 274, 616, 3773, 547, 1106, 606, 4082, 269, 1284, 11291, 519, 4110, 540, 513, 3652, 1284, 1265, 519, 4110, 540, 513, 9971, 4082, 1210, 519, 1739, 3268, 281, 5153, 476, 272, 281, 28799, 519, 899, 2474, 540, 519, 9971, 4082, 269, 649, 1205, 513, 317, 273, 266, 476, 273, 629, 1341, 536, 317, 273, 284, 476, 274, 317, 273, 1341, 476, 273, 1535, 343, 476, 274, 1535, 343, 476, 273, 1341, 476, 273, 317, 273, 284, 476, 280, 1341, 476, 273, 1535, 343, 476, 277, 1341, 476, 275, 815, 476, 280, 1341, 476, 1321, 1341, 476, 275, 815, 476, 1839, 267, 630, 643, 264, 513, 317, 274, 5889, 19050, 382, 497, 536, 317, 274, 267, 1677, 1265, 519, 4110, 540, 519, 9971, 267, 1039, 909, 519, 23055, 540, 1142, 2165, 543, 2824, 519, 5207, 2040, 269, 815, 263, 343, 317, 273, 268, 273, 343, 21147, 268, 273, 8358, 9230, 343, 266, 274, 7565, 343, 268, 273, 4297, 23444, 273, 343, 317, 273, 266, 277, 343, 266, 276, 343, 266, 1428, 8358, 9230, 343, 266, 274, 7565, 343, 268, 273, 4297, 3503, 476, 274, 343, 274, 344, 275, 538, 1587, 1106, 269, 16301, 540, 10789, 545, 20309, 269, 547, 20301, 5295, 540, 21055, 9424, 1797, 950, 513, 7274, 568, 16611, 676, 3294, 267, 1022, 1297, 540, 2053, 267, 519, 1587, 568, 1572, 513, 1379, 540, 602, 7274, 269, 4632, 269, 2353, 602, 799, 666, 581, 2944, 568, 547, 1921, 873, 676, 519, 1129, 540, 12408, 543, 4734, 519, 1267, 538, 519, 1106, 476, 273, 629, 910, 476, 275, 25900, 269, 815, 476, 276, 343, 910, 476, 274, 269, 815, 9230, 343, 266, 274, 7565, 343, 266, 276, 4297, 14370, 343, 266, 274, 264, 476, 272, 269, 1924, 267, 649, 5889, 19050, 382, 503, 516, 4280, 547, 1265, 519, 4110, 1924, 267, 476, 276, 343, 476, 276, 1341, 278, 343, 476, 274, 1341, 273, 343, 476, 276, 1341, 280, 343, 476, 273, 1341, 274, 266, 278, 343, 266, 275, 815, 476, 278, 343, 476, 276, 1341, 476, 278, 343, 476, 274, 1341, 476, 280, 343, 476, 273, 1341, 476, 278, 343, 1341, 476, 278, 15531, 26432, 1306, 2096, 696, 4925, 269, 25927, 908, 519, 2262, 2042, 538, 547, 15821, 7215, 269, 910, 476, 280, 3393, 6200, 279, 8382, 281, 476, 272, 2243, 4855, 519, 4110, 540, 1142, 15821, 4082, 910, 519, 4267, 547, 1609, 644, 344, 817, 9665, 2593, 4475, 267, 476, 276, 15383, 345, 1341, 11196, 278, 15383, 345, 264, 1341, 11196, 280, 15383, 345, 264, 1341, 476, 1015, 15383, 345, 815, 910, 272, 15383, 345, 267, 476, 272, 269, 589, 3791, 24266, 630, 528, 4110, 476, 274, 264, 9971, 568, 1572, 513, 12945, 9971, 269, 543, 513, 1614, 3856, 4082, 568, 1572, 513, 959, 30796, 269, 4855, 519, 12408, 540, 476, 279, 14370, 343, 266, 272, 9984, 276, 14370, 343, 268, 275, 1070, 8827, 281, 476, 272, 1547, 630, 1911, 533, 1206, 269, 3816, 664, 1457, 950, 476, 273, 1379, 476, 16348, 568, 5258, 676, 476, 1704, 269, 898, 2356, 3568, 21635, 543, 1727, 518, 725, 269, 630, 4512, 264, 476, 278, 320, 12882, 19050, 382, 497, 476, 275, 321, 267, 476, 276, 629, 267, 476, 276, 320, 267, 476, 276, 659, 616, 7429, 2474, 1317, 789, 798, 711, 723, 9838, 4632, 269, 14597, 267, 547, 1265, 519, 2040, 540, 1079, 7429, 2474, 1535, 543, 586, 267, 649, 991, 547, 1921, 1312, 519, 2474, 676, 1210, 606, 1840, 3090, 543, 2769, 519, 1267, 538, 519, 1106, 540, 1535, 1341, 586, 269, 14597, 267, 547, 1265, 519, 2040, 540, 1079, 7429, 2474, 910, 343, 543, 586, 267, 649, 991, 547, 1921, 1312, 519, 2474, 676, 1210, 606, 1840, 3090, 1496, 8987, 343, 264, 1341, 586, 316, 543, 2769, 519, 1267, 538, 519, 1106, 540, 910, 343, 1341, 586, 269, 769, 15821, 4082, 476, 276, 343, 273, 910, 476, 274, 344, 273, 910, 476, 278, 343, 273, 1341, 476, 276, 15383, 1341, 476, 275, 344, 273, 1341, 1535, 273, 910, 476, 273, 629, 1403, 649, 20301, 519, 3259, 540, 519, 2427, 540, 519, 31164, 6906, 676, 561, 267, 1287, 267, 1403, 649, 20301, 519, 3259, 540, 513, 4009, 676, 561, 267, 1287, 519, 1858, 540, 519, 4009, 815, 561, 317, 273, 269, 1284, 917, 602, 519, 4110, 568, 519, 2165, 609, 519, 6574, 20800, 543, 267, 1677, 1265, 519, 4110, 540, 513, 1395, 6706, 609, 811, 982, 835, 4756, 585, 519, 1482, 2165, 267, 1175, 1039, 519, 23055, 585, 1142, 4756, 547, 1205, 519, 4110, 269, 16390, 543, 12596, 514, 6128, 616, 2854, 514, 513, 13801, 543, 2489, 1106, 1210, 15821, 7215, 281, 634, 4082, 1535, 317, 273, 815, 263, 274, 343, 268, 4391, 8358, 9230, 343, 266, 272, 7565, 343, 268, 275, 24270, 634, 2474, 799, 723, 519, 1482, 21055, 14170, 6659, 547, 519, 1482, 7060, 855, 949, 1152, 8428, 538, 10230, 11664, 616, 1572, 2147, 610, 899, 2474, 267, 3070, 281, 634, 4082, 476, 7367, 343, 273, 910, 476, 280, 343, 1341, 476, 3607, 815, 476, 278, 332, 1341, 476, 11025, 3371, 519, 2165, 568, 910, 273, 9943, 269, 1280, 1142, 15821, 4082, 2433, 1547, 815, 476, 277, 343, 910, 476, 278, 344, 630, 1877, 476, 278, 344, 568, 606, 7429, 2165, 1040, 476, 275, 269, 4924, 476, 1704, 267, 1708, 272, 910, 4855, 519, 4110, 540, 519, 2016, 15821, 4082, 4949, 273, 1341, 536, 343, 1341, 1309, 264, 271, 321, 264, 272, 322, 264, 273, 323, 264, 274, 28557, 2626, 568, 4781, 1412, 289, 8339, 21208, 7534, 18491, 629, 16905, 269, 519, 7887, 540, 891, 2338, 269, 27155, 338, 538, 835, 4756, 269, 634, 1267, 540, 12408, 540, 1079, 899, 2474, 568, 849, 513, 899, 2474, 4171, 10230, 11664, 568, 5833, 676, 2921, 519, 3017, 540, 519, 10230, 14170, 540, 899, 2474, 269, 6684, 267, 476, 272, 269, 1323, 10789, 545, 20309, 2986, 5565, 16301, 2107, 2859, 20537, 8422, 16301, 1772, 595, 6817, 589, 834, 11372, 30796, 2668, 815, 272, 14370, 276, 3287, 266, 272, 26895, 10789, 545, 20309, 1323, 4082, 602, 3568, 693, 2547, 835, 4756, 269, 1215, 547, 1265, 513, 4110, 540, 513, 9971, 286, 1284, 7747, 602, 1079, 2474, 540, 519, 23481, 630, 1556, 320, 269, 4475, 267, 476, 278, 19282, 1341, 11196, 280, 19282, 264, 1341, 11196, 279, 19282, 264, 815, 910, 1015, 19282, 267, 476, 273, 269, 1703, 616, 513, 1297, 540, 3871, 538, 799, 649, 991, 547, 1265, 519, 1871, 476, 272, 269, 2560, 11790, 5627, 4632, 616, 1767, 547, 581, 15821, 2188, 269, 634, 4542, 1175, 1336, 568, 606, 1383, 540, 513, 9971, 267, 799, 568, 513, 2040, 540, 610, 3017, 540, 2474, 267, 1142, 9967, 540, 513, 4756, 6659, 547, 513, 1875, 17463, 8870, 1379, 6993, 1297, 16611, 676, 513, 4756, 6659, 547, 606, 20800, 267, 971, 607, 1269, 29575, 19570, 8961, 568, 1634, 607, 513, 11664, 5861, 4141, 13266, 666, 581, 2318, 267, 2942, 267, 610, 4642, 267, 543, 666, 581, 2898, 2338, 267, 17447, 267, 610, 8454, 269, 543, 2489, 1106, 1210, 15821, 7215, 269, 634, 4110, 540, 1142, 2165, 538, 513, 9971, 538, 1079, 4632, 568, 519, 2040, 540, 519, 23055, 538, 1142, 2165, 543, 519, 4110, 540, 519, 9971, 568, 519, 4102, 971, 2040, 269, 1367, 2165, 267, 649, 1039, 1927, 782, 540, 519, 23055, 540, 938, 4632, 267, 543, 649, 1616, 14419, 519, 4110, 540, 3331, 364, 21638, 22935, 547, 519, 4475, 267, 519, 3017, 540, 1079, 2318, 7429, 2474, 544, 543, 562, 815, 544, 910, 562, 269, 1677, 1265, 519, 3017, 540, 513, 2318, 543, 513, 2942, 7429, 2474, 15475, 267, 1491, 910, 333, 689, 544, 267, 649, 991, 547, 1921, 1312, 519, 2474, 676, 1210, 513, 12408, 1129, 1496, 332, 910, 11196, 333, 13580, 543, 2769, 519, 1267, 538, 519, 1106, 540, 544, 1341, 562, 269, 5681, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 278, 476, 272, 1547, 1280, 1383, 281, 14645, 26115, 15100, 476, 1708, 272, 18491, 11445, 5472, 7126, 27616, 269, 1677, 4194, 621, 267, 3274, 946, 8691, 267, 6498, 267, 1840, 267, 543, 12408, 950, 2556, 547, 20586, 519, 4756, 543, 4194, 585, 834, 343, 2668, 634, 12408, 540, 1079, 610, 811, 899, 2474, 568, 1776, 899, 2165, 4171, 10230, 11664, 568, 519, 12408, 540, 519, 10230, 14170, 540, 891, 899, 2474, 269, 476, 274, 15383, 345, 276, 1341, 476, 2420, 476, 276, 269, 634, 2040, 540, 1079, 610, 811, 899, 2474, 568, 513, 2582, 899, 2165, 282, 855, 519, 1079, 7429, 2474, 3112, 581, 3773, 1927, 547, 1205, 513, 2582, 2165, 269, 1403, 513, 2067, 1297, 568, 20922, 676, 562, 267, 922, 24288, 568, 630, 333, 1341, 476, 272, 1040, 23422, 540, 10789, 545, 20309, 281, 11612, 4554, 1379, 540, 519, 4756, 540, 606, 15821, 4082, 568, 1572, 922, 4110, 269, 1657, 282, 519, 7429, 2474, 616, 2451, 607, 789, 616, 269, 3267, 1323, 3830, 568, 513, 6310, 3948, 2348, 606, 1412, 16029, 547, 262, 3090, 1063, 1079, 15821, 7215, 602, 723, 3160, 2418, 269, 5412, 476, 2918, 267, 476, 1001, 280, 822, 20345, 269, 1284, 946, 5022, 1535, 267, 586, 267, 561, 267, 544, 267, 3267, 3092, 269, 1265, 519, 4110, 540, 606, 15821, 4082, 269, 1284, 1294, 2630, 1896, 1806, 269, 676, 14921, 1535, 676, 519, 3586, 476, 275, 543, 1287, 4946, 519, 3586, 476, 276, 547, 519, 1587, 269, 2560, 1284, 723, 2938, 4505, 849, 602, 12596, 543, 3652, 538, 6128, 666, 581, 2854, 538, 513, 13801, 769, 713, 2013, 267, 972, 5889, 19050, 382, 503, 338, 1152, 835, 18124, 910, 276, 6398, 476, 274, 6398, 533, 6398, 7117, 6398, 7117, 6398, 678, 538, 20800, 1106, 269, 476, 272, 269, 1265, 16733, 343, 266, 272, 7565, 343, 268, 273, 4297, 270, 9230, 343, 266, 274, 7565, 343, 268, 273, 4297, 266, 9230, 273, 343, 266, 276, 7565, 343, 266, 274, 4297, 270, 9230, 343, 266, 274, 7565, 343, 268, 273, 24270, 8827, 6657, 519, 4976, 593, 28809, 23481, 338, 547, 917, 875, 547, 1265, 519, 1455, 3815, 689, 519, 23481, 338, 269, 7215, 899, 476, 275, 343, 1341, 476, 276, 267, 476, 1015, 344, 12882, 19050, 382, 497, 476, 736, 269, 815, 263, 343, 266, 272, 19422, 276, 12169, 266, 273, 4297, 16282, 12169, 266, 273, 8358, 9230, 343, 266, 272, 7565, 343, 266, 272, 4297, 589, 2165, 568, 513, 1587, 540, 2188, 269, 1284, 7747, 602, 519, 1614, 2474, 540, 519, 959, 30796, 630, 274, 343, 267, 1284, 7747, 602, 519, 2185, 2474, 540, 519, 21335, 630, 1556, 332, 267, 544, 6398, 544, 814, 1079, 2188, 865, 547, 2769, 621, 649, 666, 2328, 544, 6398, 544, 815, 544, 267, 536, 6398, 536, 6398, 536, 814, 1614, 2188, 865, 547, 2769, 621, 649, 666, 2328, 536, 6398, 536, 6398, 536, 815, 536, 267, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 814, 5722, 2188, 865, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2691, 519, 1390, 1165, 569, 26767, 540, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 941, 16245, 532, 3948, 5656, 593, 519, 1164, 2798, 540, 741, 1609, 919, 267, 789, 666, 2370, 723, 1634, 875, 3730, 789, 1131, 581, 547, 519, 8274, 540, 18103, 333, 766, 269, 634, 2048, 32459, 7625, 10222, 836, 1637, 540, 6628, 685, 729, 513, 25066, 5619, 267, 13175, 538, 519, 3735, 476, 1240, 628, 2540, 267, 799, 676, 8159, 5730, 10974, 540, 1713, 21056, 1131, 5512, 3810, 4977, 11837, 269, 634, 1292, 21056, 1031, 941, 5939, 838, 2231, 267, 855, 2048, 1278, 7415, 3615, 685, 941, 13603, 267, 543, 538, 519, 1101, 8717, 540, 519, 476, 866, 628, 2540, 936, 476, 2004, 20610, 267, 17633, 267, 1073, 601, 529, 802, 267, 4832, 8075, 543, 1165, 15533, 1500, 621, 883, 713, 7121, 563, 289, 10961, 23932, 18975, 265, 6763, 1164, 593, 645, 10961, 23932, 10830, 267, 2282, 1325, 333, 19213, 267, 543, 6772, 23697, 670, 592, 928, 5244, 267, 513, 1033, 3737, 12257, 2666, 2673, 547, 519, 16099, 540, 3345, 3784, 1633, 779, 9030, 6288, 693, 1325, 333, 19213, 16836, 269, 898, 729, 3710, 538, 519, 3735, 476, 1240, 628, 2540, 607, 513, 19175, 13486, 543, 3750, 2275, 520, 7815, 267, 543, 849, 607, 606, 1843, 547, 581, 10272, 593, 513, 5397, 689, 519, 14500, 998, 670, 592, 928, 5244, 269, 634, 6288, 729, 2966, 676, 2048, 1492, 538, 574, 3386, 9466, 8730, 513, 6390, 7167, 1464, 267, 2324, 609, 2199, 8030, 543, 9858, 267, 543, 729, 849, 1753, 547, 519, 21219, 540, 2923, 24834, 670, 592, 928, 30745, 267, 30996, 1639, 543, 1065, 584, 12723, 676, 519, 16099, 543, 667, 31866, 1087, 607, 513, 7333, 638, 7566, 2777, 267, 12257, 4677, 543, 2367, 4526, 773, 585, 16678, 32176, 553, 1218, 563, 293, 1168, 1165, 15533, 666, 581, 1767, 547, 723, 2047, 8329, 547, 9381, 11761, 267, 855, 835, 1383, 666, 581, 1336, 538, 519, 17681, 2370, 8498, 540, 21373, 2006, 2421, 267, 2282, 11711, 344, 269, 7216, 538, 519, 476, 866, 628, 2540, 9966, 874, 9445, 14642, 4472, 323, 652, 517, 267, 540, 21373, 2006, 2421, 8065, 267, 3576, 6149, 689, 519, 22586, 9381, 856, 322, 1886, 1572, 11711, 344, 23394, 326, 267, 543, 1031, 621, 547, 16245, 713, 15309, 545, 13675, 2895, 563, 2026, 519, 4182, 3936, 956, 883, 9363, 693, 1753, 267, 585, 4707, 513, 1514, 1272, 543, 267, 811, 18374, 267, 11564, 547, 519, 688, 2273, 816, 518, 543, 5898, 2892, 517, 267, 519, 674, 14709, 4469, 5889, 928, 2224, 3893, 547, 3206, 827, 1346, 6752, 762, 5251, 610, 23788, 1572, 1200, 2466, 1137, 267, 538, 799, 2367, 630, 26078, 636, 2406, 2021, 1185, 811, 2631, 982, 547, 4019, 585, 519, 7477, 3599, 264, 5030, 538, 10072, 269, 2060, 986, 13949, 7802, 267, 1279, 9491, 1716, 5661, 267, 543, 796, 651, 332, 696, 581, 1841, 267, 519, 1200, 332, 1080, 19347, 519, 5251, 267, 15029, 2870, 513, 2370, 12416, 585, 519, 8436, 945, 9575, 513, 630, 560, 3042, 264, 19214, 540, 519, 556, 743, 2224, 563, 763, 674, 14709, 4469, 5889, 928, 2224, 568, 4730, 2922, 1934, 609, 519, 6753, 540, 891, 1079, 3889, 267, 607, 519, 11317, 540, 519, 14252, 540, 21582, 1782, 543, 27659, 2023, 538, 15434, 1597, 267, 5045, 540, 4787, 328, 17980, 267, 1142, 3409, 513, 15224, 607, 741, 1378, 269, 16511, 1023, 616, 693, 2547, 8815, 593, 513, 28215, 281, 585, 1360, 6654, 4128, 519, 13486, 543, 533, 4883, 12386, 616, 1634, 607, 519, 17865, 543, 3212, 3899, 623, 1824, 563, 17746, 1192, 539, 2038, 538, 519, 476, 866, 628, 2540, 267, 713, 22586, 575, 8527, 1729, 729, 3710, 538, 519, 12406, 540, 16016, 548, 28386, 8065, 267, 1753, 547, 519, 10787, 17243, 1920, 269, 13536, 621, 729, 513, 7957, 10696, 5544, 540, 10906, 10787, 17243, 630, 6977, 274, 268, 4350, 278, 1070, 543, 814, 3976, 2968, 1634, 676, 519, 4898, 2685, 4313, 532, 2012, 540, 589, 2863, 645, 612, 773, 779, 717, 8527, 1729, 269, 3371, 7401, 729, 6039, 676, 519, 5234, 267, 15029, 519, 1920, 10150, 519, 8748, 2070, 547, 774, 11445, 924, 2480, 1513, 563, 19365, 4790, 762, 267, 540, 8738, 2023, 4790, 762, 538, 519, 5101, 681, 4575, 540, 31920, 267, 5747, 538, 476, 9692, 272, 269, 589, 2783, 540, 1010, 786, 729, 602, 1010, 25752, 1058, 25580, 519, 2048, 26967, 29256, 8730, 1287, 1336, 693, 7404, 670, 1023, 5069, 5939, 269, 634, 1007, 2679, 729, 547, 581, 811, 982, 1175, 513, 23789, 585, 519, 3788, 540, 5481, 540, 4790, 1963, 267, 621, 729, 849, 5497, 607, 513, 12050, 3948, 540, 519, 2956, 540, 519, 3504, 1920, 267, 543, 606, 15022, 3512, 547, 519, 10040, 563, 1103, 519, 1647, 540, 519, 476, 1240, 628, 2540, 519, 1858, 1472, 14480, 8725, 729, 796, 523, 743, 2216, 646, 987, 267, 543, 2951, 729, 513, 18660, 543, 5906, 1870, 267, 2523, 538, 519, 4158, 5162, 3275, 269, 11184, 14731, 667, 1662, 6229, 630, 10204, 279, 268, 9965, 272, 1070, 476, 273, 526, 3046, 517, 564, 267, 540, 4639, 19785, 1260, 2041, 543, 18774, 1922, 790, 11833, 21239, 267, 3357, 883, 3959, 538, 519, 1858, 950, 646, 9310, 8861, 4432, 569, 338, 540, 7404, 3143, 551, 517, 538, 476, 14690, 276, 269, 667, 1662, 6229, 25517, 519, 14480, 8725, 30346, 541, 538, 476, 11260, 272, 607, 513, 581, 13154, 547, 3391, 2048, 1492, 32066, 267, 519, 1259, 325, 2130, 24928, 267, 543, 519, 7504, 2006, 609, 1010, 546, 877, 593, 10788, 542, 17483, 1240, 628, 2540, 7977, 729, 14297, 609, 3638, 1762, 15626, 5443, 593, 519, 9835, 12875, 269, 901, 6905, 1353, 7552, 270, 3128, 6118, 4904, 519, 1296, 1063, 6101, 2069, 10678, 543, 519, 9021, 540, 9100, 1746, 606, 10040, 267, 543, 6721, 646, 15077, 540, 741, 1378, 267, 14736, 539, 538, 269, 769, 519, 2038, 1296, 540, 519, 476, 11260, 271, 338, 267, 513, 28422, 24809, 538, 7507, 1298, 1042, 593, 8176, 595, 4954, 10623, 843, 267, 966, 4593, 870, 4077, 12661, 2632, 267, 513, 1762, 9721, 546, 850, 1777, 14397, 607, 1134, 1224, 607, 646, 729, 1134, 24964, 281, 4077, 12661, 2632, 1131, 2951, 2417, 982, 1034, 543, 1294, 5527, 267, 31862, 543, 10255, 269, 10738, 1010, 5858, 585, 519, 8078, 2218, 865, 30394, 333, 538, 7977, 941, 1079, 2367, 609, 2178, 31920, 4296, 281, 7338, 5696, 644, 523, 749, 267, 31578, 23745, 540, 570, 13516, 5069, 267, 945, 1185, 513, 10160, 693, 18000, 7615, 8065, 2282, 681, 760, 517, 267, 543, 8361, 4024, 965, 2421, 540, 20002, 718, 8065, 538, 519, 5101, 681, 4575, 540, 519, 10315, 563, 4002, 519, 8492, 540, 519, 5757, 23203, 538, 519, 2749, 540, 20736, 5069, 568, 513, 2370, 8106, 4832, 5264, 1634, 607, 634, 4032, 779, 5600, 269, 898, 3217, 922, 2012, 689, 9478, 16907, 17703, 331, 2532, 328, 630, 15876, 280, 268, 8146, 278, 264, 945, 729, 4535, 609, 513, 4719, 4524, 267, 543, 2760, 8057, 26339, 982, 476, 274, 3952, 543, 476, 274, 6279, 7381, 269, 769, 1010, 4571, 1922, 677, 625, 646, 3357, 547, 6628, 543, 267, 18908, 1782, 5128, 4032, 16907, 17703, 331, 2532, 328, 267, 3533, 6591, 21239, 543, 1045, 14591, 547, 2743, 519, 9576, 1920, 543, 782, 540, 519, 2048, 1440, 4532, 7625, 3885, 685, 540, 519, 12321, 1006, 269, 0, 300, 4215, 3812, 585, 1453, 1419, 814, 7453, 6042, 543, 15366, 8060, 538, 1931, 547, 26924, 621, 3568, 3617, 1543, 585, 1453, 269, 1717, 267, 609, 519, 10006, 540, 10349, 4656, 936, 519, 2250, 1906, 1296, 267, 930, 949, 2161, 602, 972, 568, 606, 909, 543, 4947, 991, 585, 9542, 538, 7641, 2982, 267, 9413, 267, 3092, 269, 711, 1152, 585, 4079, 267, 855, 585, 1453, 607, 1134, 267, 547, 581, 811, 8537, 540, 519, 14447, 2146, 269, 769, 606, 2376, 11331, 968, 6701, 2048, 294, 599, 16474, 757, 685, 538, 2048, 6826, 2246, 344, 685, 543, 2048, 20175, 681, 13377, 685, 18776, 286, 5608, 713, 1689, 538, 2923, 1543, 568, 5941, 269, 1306, 519, 2140, 540, 519, 2376, 2829, 267, 972, 568, 7521, 936, 2436, 610, 711, 930, 10207, 538, 5295, 681, 13377, 543, 25925, 543, 519, 2142, 770, 2270, 968, 326, 599, 8090, 892, 543, 952, 891, 8090, 616, 2938, 607, 3356, 538, 519, 9913, 1870, 269, 1306, 519, 2376, 11828, 891, 8090, 941, 2938, 950, 968, 306, 21343, 666, 581, 2938, 554, 19982, 513, 812, 267, 2274, 293, 537, 3094, 802, 693, 22050, 517, 543, 2663, 23929, 609, 513, 812, 267, 543, 2558, 7236, 14543, 547, 2626, 513, 1166, 8812, 2243, 827, 2436, 1352, 779, 2348, 968, 24742, 23136, 2042, 892, 2507, 610, 968, 326, 20071, 23136, 2042, 18313, 763, 1249, 602, 972, 568, 7521, 936, 519, 1543, 3254, 538, 891, 1453, 9413, 9727, 606, 1271, 4901, 540, 938, 1362, 268, 6689, 26454, 269, 19974, 26454, 568, 13986, 547, 581, 6417, 998, 519, 1543, 938, 2486, 632, 2114, 607, 11807, 585, 1453, 547, 4585, 269, 1635, 5464, 519, 1543, 540, 2923, 585, 1453, 267, 594, 3494, 938, 2486, 568, 3843, 547, 8190, 6689, 26454, 269, 2060, 519, 7872, 540, 519, 2333, 538, 14447, 2528, 4843, 538, 1453, 779, 9413, 267, 930, 949, 8044, 602, 713, 568, 2870, 513, 1007, 4214, 540, 1018, 6689, 26454, 1797, 538, 938, 2486, 676, 3376, 2287, 519, 8552, 540, 2085, 29003, 1570, 538, 519, 1543, 1453, 2070, 269, 2201, 533, 269, 14096, 540, 519, 17161, 1557, 593, 26454, 267, 519, 2278, 2829, 602, 519, 2856, 540, 6031, 6689, 568, 17608, 568, 5732, 5739, 269, 594, 1589, 713, 3948, 12211, 547, 1250, 2376, 1317, 12062, 532, 1453, 267, 711, 1152, 689, 519, 14447, 2146, 538, 2923, 855, 824, 1919, 607, 1134, 267, 666, 6038, 581, 5739, 538, 519, 2631, 602, 789, 786, 581, 1447, 3222, 543, 7654, 1447, 16561, 540, 4763, 950, 789, 3914, 15296, 269, 769, 1489, 540, 519, 2278, 267, 594, 3858, 602, 6031, 6689, 568, 17608, 666, 581, 5732, 5739, 1317, 649, 949, 581, 12062, 532, 1453, 689, 1565, 543, 2833, 602, 948, 873, 1174, 938, 1158, 543, 1114, 4529, 269, 0, 288, 2178, 3859, 7088, 568, 1813, 547, 5734, 519, 5177, 713, 10732, 630, 278, 628, 5239, 264, 2810, 519, 4960, 540, 7524, 28050, 23768, 17729, 538, 519, 6607, 936, 10430, 543, 7187, 4789, 563, 18404, 11136, 5505, 616, 17782, 513, 717, 273, 2520, 558, 8568, 7088, 936, 1164, 547, 1647, 4234, 6421, 1519, 519, 2701, 339, 1633, 1772, 956, 267, 2107, 330, 2284, 267, 589, 828, 1372, 839, 10921, 267, 4787, 6614, 267, 595, 3518, 6319, 267, 3345, 3784, 1633, 543, 16176, 323, 8205, 267, 7064, 547, 519, 12625, 540, 513, 3532, 3859, 2842, 563, 10481, 558, 8568, 15420, 540, 713, 1826, 616, 11212, 2352, 547, 8308, 9472, 855, 267, 950, 3859, 2842, 16125, 519, 3047, 781, 5790, 267, 519, 4541, 781, 6419, 2361, 568, 22841, 269, 932, 20149, 5536, 1287, 2458, 728, 609, 31529, 5536, 267, 2495, 28050, 23768, 616, 811, 2693, 547, 2408, 563, 14722, 723, 1044, 9477, 513, 4856, 4689, 670, 1961, 4867, 6849, 519, 3047, 269, 634, 8559, 5892, 2799, 538, 2450, 267, 4929, 513, 717, 273, 2520, 558, 8568, 7088, 269, 901, 1631, 5526, 547, 581, 8345, 1586, 563, 763, 1769, 1397, 1223, 2063, 585, 3108, 267, 4966, 2161, 267, 609, 28050, 23768, 607, 7524, 607, 519, 8832, 28691, 563, 21893, 3859, 2842, 6908, 786, 2693, 1491, 827, 1079, 543, 513, 3368, 547, 1614, 2395, 547, 2951, 519, 6129, 7232, 14390, 3845, 799, 1797, 519, 3859, 2842, 6908, 568, 2693, 547, 12446, 713, 10732, 267, 476, 278, 5239, 2437, 6611, 16661, 14970, 2829, 563, 257, 9556, 4733, 717, 273, 2520, 558, 8568, 7088, 2175, 786, 581, 2009, 593, 713, 4266, 543, 5310, 2038, 593, 11728, 267, 476, 279, 628, 5239, 4799, 3383, 1141, 616, 519, 1655, 4025, 547, 1294, 519, 28050, 23768, 952, 789, 798, 2408, 286, 5890, 4215, 814, 16432, 713, 13561, 1592, 912, 22091, 4215, 814, 2813, 606, 3872, 3135, 269, 6258, 811, 1934, 281, 4179, 2517, 4178, 269, 10339, 4215, 269, 7224, 23218, 322, 11305, 10768, 752, 1084, 1790, 12711, 5991, 867, 569, 3553, 19841, 270, 0, 1103, 20668, 476, 272, 1299, 476, 273, 267, 594, 6743, 693, 875, 519, 10162, 2130, 3828, 550, 625, 3366, 547, 519, 9931, 9335, 9197, 1662, 543, 519, 4279, 12870, 269, 769, 20668, 476, 274, 1299, 476, 275, 267, 649, 3605, 875, 519, 2250, 666, 5641, 20224, 593, 938, 2104, 563, 21982, 519, 2022, 268, 4572, 280, 3510, 607, 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 ]
[ 15288, 14826, 14744, 24541, 672, 5897, 5992, 1012, 10790, 2562, 476, 19399, 19399, 19399, 5992, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 5365, 4732, 793, 531, 263, 5365, 2529, 5456, 307, 4306, 303, 267, 547, 24327, 24417, 7342, 476, 3418, 825, 533, 558, 617, 19660, 263, 512, 25284, 476, 3418, 24541, 0, 5814, 26417, 692, 4289, 320, 4671, 340, 680, 320, 815, 29129, 3698, 1711, 8217, 10031, 825, 1003, 815, 703, 9272, 2891, 28808, 516, 572, 18085, 21059, 632, 7373, 4592, 281, 27328, 825, 1247, 1003, 3436, 476, 271, 912, 1038, 2012, 815, 3403, 2891, 28808, 516, 572, 9930, 3691, 281, 19515, 1038, 2232, 815, 3403, 2891, 28808, 516, 572, 25680, 764, 542, 281, 19515, 1038, 2085, 815, 3403, 2891, 28808, 516, 572, 1196, 611, 281, 19515, 1038, 30458, 4671, 340, 680, 320, 6910, 9230, 263, 4067, 267, 2232, 267, 2085, 21875, 1038, 1003, 815, 1003, 910, 476, 272, 22562, 825, 2132, 30458, 4671, 340, 680, 320, 692, 3698, 1711, 32269, 263, 1173, 272, 2187, 825, 609, 1930, 3488, 12849, 27406, 3299, 1412, 342, 3299, 1007, 1467, 284, 5257, 264, 607, 3758, 912, 1038, 5856, 815, 26417, 9884, 31581, 31526, 994, 1038, 5856, 9884, 31581, 578, 263, 2891, 4067, 2580, 834, 5417, 816, 2580, 834, 720, 27363, 1038, 5856, 9884, 31581, 3298, 263, 1173, 272, 2020, 22056, 32269, 263, 22056, 8217, 31156, 2745, 17338, 320, 4671, 340, 680, 320, 264, 0, 5814, 26417, 692, 258, 6358, 18316, 815, 26417, 6185, 1112, 5649, 518, 263, 13449, 2891, 3000, 539, 553, 27406, 27363, 4289, 320, 815, 29129, 454, 5976, 1930, 3488, 3000, 539, 553, 27406, 3299, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 825, 5467, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 12803, 994, 825, 585, 4737, 538, 5467, 912, 1038, 1948, 2745, 5560, 1112, 21405, 4917, 1038, 30458, 6910, 5560, 1112, 21405, 11723, 2745, 17338, 320, 994, 1363 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 942, 454, 5814, 30220, 454, 5814, 2415, 27785, 454, 5814, 5299, 454, 5814, 621, 1068, 8962, 692, 258, 4632, 454, 5503, 815, 1496, 276, 267, 476, 1428, 267, 476, 1789, 267, 476, 6344, 267, 476, 13301, 2639, 9724, 815, 1496, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1321, 267, 476, 1428, 2639, 13232, 815, 1496, 272, 269, 276, 267, 273, 267, 274, 267, 276, 267, 1015, 2639, 338, 869, 815, 1496, 273, 267, 274, 267, 275, 267, 277, 6540, 454, 258, 9724, 267, 13232, 29679, 869, 267, 5503, 454, 258, 3252, 454, 3698, 1293, 15305, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 2187, 825, 1293, 815, 7003, 6600, 770, 12684, 6352, 9852, 573, 12684, 6352, 4433, 869, 12684, 6352, 263, 5503, 994, 825, 2132, 1293, 692, 3698, 5352, 6958, 332, 560, 6600, 31599, 29679, 25722, 2187, 825, 1820, 19304, 6600, 4917, 825, 535, 332, 560, 815, 1496, 325, 267, 325, 265, 332, 267, 325, 265, 332, 265, 338, 25722, 2639, 825, 2132, 535, 332, 560, 692, 3698, 5352, 6958, 332, 560, 15305, 6025, 652, 2187, 825, 1948, 2745, 19304, 6600, 4917, 825, 535, 332, 560, 815, 1496, 11687, 314, 271, 3910, 11687, 314, 271, 30297, 11687, 314, 272, 3910, 11687, 314, 271, 30297, 11687, 314, 272, 30297, 11687, 314, 273, 3910, 11687, 314, 274, 27663, 825, 2132, 535, 332, 560, 692, 3698, 18287, 318, 16118, 6600, 332, 560, 2187, 825, 7443, 815, 535, 332, 560, 314, 271, 316, 1341, 535, 332, 560, 314, 272, 316, 1341, 535, 332, 560, 314, 273, 316, 1341, 535, 332, 560, 314, 274, 2639, 825, 1820, 2891, 3682, 7257, 281, 834, 1341, 1193, 263, 16118, 4917, 825, 2132, 7443, 692, 3698, 8763, 10857, 2187, 825, 3193, 26371, 815, 3193, 10857, 994, 825, 3193, 16182, 343, 815, 561, 28827, 32384, 26371, 994, 825, 2132, 3193, 16182, 343, 267, 3193, 26371, 692, 3698, 5352, 15305, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 2187, 825, 1449, 815, 621, 1068, 8962, 4877, 6055, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 994, 825, 2132, 1449, 7531, 258, 1292, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1775, 815, 476, 271, 454, 825, 535, 332, 560, 815, 11713, 825, 1449, 815, 5352, 15305, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 2020, 825, 1449, 18045, 815, 7003, 17338, 6025, 652, 4917, 825, 7443, 815, 1496, 271, 30297, 11687, 18045, 692, 825, 1820, 3488, 1366, 9339, 5073, 825, 1699, 22710, 815, 30220, 6155, 520, 8135, 269, 852, 4590, 825, 1820, 2891, 14630, 5384, 281, 260, 338, 476, 834, 4939, 630, 9690, 22710, 4917, 825, 1820, 2891, 14818, 1293, 281, 260, 338, 476, 834, 4939, 630, 11687, 18045, 4917, 825, 1948, 2745, 2891, 14818, 281, 260, 338, 476, 834, 4939, 630, 11687, 23584, 3890, 11723, 825, 535, 332, 560, 815, 5352, 6958, 332, 560, 263, 273, 267, 274, 267, 275, 267, 276, 994, 825, 1820, 2891, 14818, 281, 260, 338, 476, 834, 4939, 630, 11687, 11723, 825, 1247, 1775, 2999, 476, 274, 10778, 1038, 1820, 2891, 328, 2433, 260, 338, 476, 834, 4939, 630, 328, 11723, 1038, 585, 1535, 538, 1449, 912, 2018, 1820, 3287, 994, 2018, 535, 332, 560, 815, 5352, 6958, 332, 560, 3287, 314, 271, 3910, 343, 314, 272, 3910, 343, 314, 273, 3910, 343, 314, 274, 7481, 2018, 1820, 6600, 332, 560, 994, 2018, 7443, 5157, 316, 815, 18287, 318, 16118, 6600, 332, 560, 2020, 1038, 1775, 284, 328, 266, 272, 692, 825, 3193, 16182, 343, 267, 3193, 26371, 815, 8763, 263, 16118, 994, 825, 1820, 2891, 16655, 7329, 343, 281, 834, 1341, 1193, 32384, 16182, 343, 4917, 825, 1820, 2891, 16655, 1130, 281, 834, 1341, 1193, 32384, 26371, 264, 9239, 825, 1820, 3488, 1366, 9339, 5073, 0, 5814, 556, 1477, 2745, 2891, 10485, 6573, 4041, 623, 312, 8025, 2177, 476, 595, 3201, 290, 8085, 2969, 3036, 14744, 2745, 2891, 13911, 1412, 304, 3726, 262, 1677, 1401, 527, 14826, 257, 10142, 2181, 2365, 815, 476, 271, 1477, 14725, 815, 6936, 5897, 3698, 1685, 318, 4118, 28399, 825, 2518, 2196, 1477, 825, 2518, 3105, 1477, 825, 3830, 284, 3269, 1477, 825, 952, 3105, 2525, 271, 6769, 1038, 3830, 284, 6358, 2891, 10938, 3830, 14744, 825, 3116, 6769, 1038, 3830, 284, 3403, 19304, 263, 2181, 2365, 17903, 825, 952, 3830, 31573, 3890, 2525, 262, 10181, 262, 6769, 1038, 1820, 2891, 14187, 1635, 324, 2073, 10048, 10590, 3418, 1038, 2196, 25716, 1477, 825, 3116, 6769, 1038, 3830, 284, 516, 16553, 3488, 314, 320, 22271, 288, 19053, 11783, 281, 3890, 3269, 316, 12887, 3299, 3225, 566, 3418, 1038, 952, 3105, 2525, 271, 6769, 2018, 3105, 284, 24834, 263, 3225, 566, 3418, 1038, 3116, 6769, 2018, 3105, 815, 859, 531, 19304, 263, 2181, 2365, 264, 1341, 3830, 10142, 6112, 2196, 6769, 825, 1685, 318, 4118, 14052, 0, 5228, 5299, 1104, 2620, 32476, 454, 5228, 4351, 1104, 28219, 9792, 454, 5228, 3611, 659, 28904, 1104, 3611, 659, 20199, 267, 2361, 454, 5228, 17511, 1104, 5903, 267, 16515, 921, 454, 5228, 21773, 1104, 2037, 636, 7531, 5035, 667, 3925, 263, 5319, 636, 2187, 825, 5727, 300, 8221, 4287, 6041, 692, 825, 18880, 454, 825, 476, 19567, 825, 24505, 267, 667, 32052, 267, 700, 9128, 307, 267, 681, 20846, 692, 825, 853, 1738, 2409, 454, 825, 28612, 19567, 825, 568, 318, 641, 22683, 6600, 1009, 267, 2034, 2567, 536, 944, 454, 1038, 568, 602, 1079, 2418, 6587, 888, 825, 8173, 825, 24505, 267, 667, 32052, 267, 700, 9128, 307, 267, 681, 20846, 815, 476, 272, 267, 910, 272, 267, 476, 273, 267, 910, 273, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 318, 641, 22683, 6600, 1009, 267, 2034, 264, 9847, 536, 944, 912, 1038, 5727, 3674, 1079, 2418, 6587, 692, 1038, 898, 786, 581, 6936, 585, 7440, 281, 630, 16810, 267, 667, 32052, 1070, 630, 291, 32052, 267, 24505, 1070, 630, 4041, 10499, 267, 681, 20846, 264, 543, 454, 1038, 630, 305, 20846, 267, 700, 9128, 307, 2020, 1038, 1488, 7714, 912, 2018, 1101, 630, 291, 3925, 2567, 835, 1843, 454, 2018, 2034, 630, 291, 3925, 2567, 1776, 1843, 692, 1038, 16849, 912, 2018, 536, 944, 281, 568, 6587, 888, 1038, 8173, 1038, 2132, 630, 14140, 27841, 1341, 2034, 27841, 264, 2652, 476, 271, 7531, 287, 323, 520, 659, 20199, 454, 5035, 10934, 912, 825, 5727, 11847, 19948, 540, 4786, 692, 825, 5900, 1026, 2373, 454, 825, 28612, 13430, 825, 2450, 281, 16515, 921, 27776, 267, 703, 2639, 1038, 3586, 2450, 540, 4786, 630, 12296, 267, 4463, 264, 538, 2281, 454, 825, 2281, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 27663, 1038, 1592, 540, 6821, 10974, 593, 4786, 454, 825, 8173, 825, 9041, 21653, 281, 16515, 921, 27776, 267, 703, 2639, 825, 9041, 3250, 338, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 14963, 815, 2361, 263, 29239, 318, 16371, 284, 4289, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 264, 9847, 16515, 921, 27776, 267, 703, 14158, 1038, 5727, 24961, 2450, 538, 2281, 692, 1038, 16849, 912, 2018, 16515, 921, 27776, 267, 703, 13912, 8700, 267, 4463, 454, 1038, 8173, 1038, 2132, 1582, 11519, 21653, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2281, 4311, 264, 9847, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 14158, 1038, 5727, 303, 657, 1431, 540, 6821, 593, 4786, 692, 1038, 16849, 912, 2018, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 13912, 1592, 540, 630, 343, 267, 586, 264, 10974, 540, 6821, 454, 1038, 8173, 1038, 2132, 1582, 11519, 3250, 338, 7531, 287, 323, 520, 659, 20199, 454, 5035, 31315, 912, 825, 5727, 11847, 19948, 540, 13131, 543, 621, 781, 1699, 1533, 692, 825, 5900, 1026, 2373, 454, 825, 28612, 13430, 825, 4287, 281, 667, 3925, 454, 1038, 13131, 3350, 4287, 454, 825, 2990, 281, 16515, 921, 27776, 267, 703, 2639, 1038, 2990, 540, 13131, 781, 2212, 630, 343, 267, 586, 994, 825, 1560, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 27663, 1038, 1592, 540, 10974, 540, 13131, 781, 1560, 2281, 454, 825, 8173, 825, 4287, 281, 667, 3925, 815, 667, 3925, 10611, 20846, 454, 825, 9041, 6570, 281, 16515, 921, 27776, 267, 703, 316, 815, 630, 1015, 267, 476, 276, 994, 825, 9041, 7853, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 14963, 31386, 454, 1038, 2361, 263, 29239, 318, 16371, 284, 14433, 281, 27883, 1015, 267, 476, 276, 1070, 630, 1015, 910, 476, 272, 267, 476, 276, 1070, 630, 1015, 910, 476, 273, 267, 476, 276, 13580, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 2990, 4311, 264, 9847, 667, 3925, 912, 1038, 5727, 303, 3789, 540, 13131, 781, 2212, 692, 1038, 6423, 912, 2018, 2387, 19956, 6185, 3925, 26384, 1038, 16849, 912, 2018, 667, 3925, 281, 4287, 21773, 454, 1038, 8173, 1038, 2132, 1582, 11519, 6570, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1560, 4311, 264, 9847, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 14158, 1038, 5727, 8266, 540, 10974, 540, 13131, 781, 1560, 692, 1038, 16849, 912, 2018, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 13912, 1592, 540, 10974, 454, 1038, 8173, 1038, 2132, 1582, 11519, 7853, 692, 825, 1219, 9041, 332, 913, 318, 3650, 4311, 2187, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 16810, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 3910, 1582, 11519, 6570, 314, 272, 316, 910, 476, 272, 454, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 6185, 32052, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 3910, 1582, 11519, 6570, 314, 272, 316, 1341, 476, 272, 454, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 4041, 10499, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 316, 910, 476, 272, 267, 1582, 11519, 6570, 314, 272, 2639, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 10611, 20846, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 316, 1341, 476, 272, 267, 1582, 11519, 6570, 314, 272, 6540, 454, 287, 323, 520, 659, 20199, 454, 5035, 10794, 912, 825, 5727, 11847, 19948, 540, 1699, 3014, 1533, 692, 825, 12830, 912, 825, 28612, 7042, 825, 2422, 2387, 8181, 13237, 1505, 547, 946, 2813, 1843, 1318, 2476, 1310, 5137, 692, 825, 5900, 1026, 2373, 454, 825, 28612, 14945, 825, 4786, 281, 10934, 454, 1038, 1699, 4786, 1533, 454, 825, 9949, 5334, 333, 820, 281, 31315, 454, 1038, 9949, 13131, 1533, 454, 825, 13131, 281, 31315, 454, 1038, 1699, 13131, 1533, 454, 825, 6060, 281, 703, 454, 1038, 1293, 540, 13881, 1426, 676, 13131, 538, 713, 3014, 454, 825, 568, 14682, 877, 318, 1478, 281, 536, 944, 454, 1038, 568, 3014, 8694, 454, 825, 1426, 29223, 281, 16515, 921, 27776, 267, 703, 2639, 1038, 1699, 2990, 540, 1426, 593, 4786, 454, 825, 8173, 825, 9041, 14090, 281, 10934, 454, 825, 9041, 29239, 5334, 333, 820, 281, 31315, 454, 825, 9041, 338, 333, 820, 281, 31315, 815, 31315, 4590, 825, 9041, 16557, 281, 703, 815, 476, 271, 454, 825, 9041, 529, 14682, 877, 318, 1478, 281, 536, 944, 815, 8771, 454, 825, 9041, 25988, 29223, 281, 16515, 921, 27776, 267, 703, 316, 815, 630, 271, 267, 476, 271, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 4786, 4311, 264, 9847, 10934, 912, 1038, 5727, 14483, 3014, 4786, 6041, 28329, 1038, 6423, 912, 2018, 2433, 5035, 281, 319, 19956, 8160, 777, 26384, 1038, 16849, 912, 2018, 10934, 281, 4786, 1843, 454, 1038, 8173, 1038, 2132, 1582, 11519, 14090, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 9949, 5334, 333, 820, 4311, 264, 9847, 31315, 912, 1038, 5727, 9377, 5435, 13131, 1533, 593, 3355, 1436, 692, 1038, 16849, 912, 2018, 31315, 281, 9949, 1533, 454, 1038, 8173, 1038, 2132, 1582, 11519, 29239, 5334, 333, 820, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 13131, 4311, 264, 9847, 31315, 912, 1038, 5727, 14483, 13131, 1533, 692, 1038, 6423, 2433, 5035, 281, 319, 19956, 2529, 333, 820, 26384, 1038, 16849, 912, 2018, 31315, 281, 13131, 6041, 454, 1038, 8173, 1038, 2132, 1582, 11519, 338, 333, 820, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 6060, 4311, 264, 9847, 703, 912, 1038, 5727, 14483, 6060, 630, 12248, 540, 13881, 13212, 676, 13131, 2020, 1038, 16849, 912, 2018, 703, 281, 6060, 454, 1038, 8173, 1038, 2132, 1582, 11519, 16557, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 568, 14682, 877, 318, 1478, 4311, 264, 9847, 536, 944, 912 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3585, 2059, 519, 804, 600, 1606, 17850, 4496, 540, 713, 4155, 286, 7316, 543, 1946, 888, 14071, 1522, 6749, 1472, 543, 1294, 6341, 6519, 513, 8792, 267, 519, 3781, 779, 865, 5386, 3034, 2108, 3383, 649, 1522, 269, 594, 5873, 2995, 646, 729, 17966, 514, 685, 513, 959, 604, 548, 19108, 3034, 10521, 14788, 338, 540, 1769, 267, 18297, 689, 24076, 267, 8868, 2066, 519, 4158, 269, 5565, 610, 2125, 267, 6727, 543, 1025, 4193, 267, 30321, 909, 609, 513, 2879, 677, 547, 3750, 519, 12667, 2025, 2367, 563, 2108, 2080, 789, 616, 1631, 2223, 2501, 513, 5639, 856, 540, 519, 13442, 563, 2108, 3963, 2223, 3154, 1186, 29871, 267, 968, 604, 11313, 1555, 1406, 519, 6519, 8695, 256, 685, 685, 30037, 267, 1025, 9722, 883, 519, 2212, 7547, 267, 3076, 1206, 513, 556, 9037, 5639, 281, 968, 2171, 729, 3808, 707, 1259, 267, 8695, 3034, 2108, 11039, 267, 8575, 1767, 649, 1058, 3247, 676, 543, 2995, 596, 267, 543, 4688, 596, 519, 7552, 269, 898, 3513, 581, 11016, 693, 1079, 267, 519, 1187, 685, 1537, 3034, 763, 20599, 2695, 1846, 972, 593, 922, 12285, 688, 31708, 267, 1625, 2590, 267, 2542, 741, 29749, 8188, 269, 2991, 513, 2370, 621, 3081, 281, 968, 2791, 9364, 4862, 827, 21081, 685, 11985, 267, 22821, 1406, 596, 286, 654, 550, 2063, 1256, 514, 8730, 9602, 267, 1100, 1928, 269, 1656, 621, 779, 11016, 693, 1079, 1848, 3465, 1836, 621, 3947, 873, 936, 585, 31945, 3283, 267, 536, 25555, 1472, 538, 519, 4155, 543, 12535, 1055, 909, 519, 1130, 324, 267, 6028, 741, 4064, 2407, 540, 6801, 563, 2108, 21579, 17373, 3081, 835, 563, 2108, 21579, 17373, 3081, 519, 824, 269, 2334, 779, 782, 563, 22818, 621, 779, 519, 1259, 621, 5949, 267, 519, 3942, 13716, 338, 282, 5310, 621, 779, 1945, 1279, 2392, 652, 1441, 538, 519, 11706, 540, 741, 1296, 269, 3143, 2339, 267, 519, 3781, 814, 5828, 513, 7944, 543, 1831, 3284, 32565, 563, 21579, 6519, 568, 8854, 563, 1103, 16563, 789, 726, 617, 1394, 269, 1358, 726, 617, 1394, 4724, 519, 21799, 540, 519, 2121, 1154, 267, 519, 32210, 4458, 7890, 540, 519, 4158, 2777, 269, 12619, 269, 14134, 338, 563, 3719, 267, 1100, 1606, 597, 256, 3502, 676, 513, 3880, 8289, 267, 789, 4465, 1406, 269, 1358, 30021, 519, 4155, 543, 25176, 621, 693, 1318, 7285, 2066, 519, 16602, 3723, 532, 540, 519, 6710, 3766, 14993, 563, 257, 5445, 3343, 1216, 267, 543, 5884, 538, 519, 1930, 1848, 2048, 6546, 779, 14148, 563, 3719, 1946, 782, 713, 286, 1358, 6785, 6341, 1185, 547, 979, 19692, 610, 2663, 543, 2285, 936, 1010, 1454, 540, 4055, 547, 519, 13059, 3552, 518, 268, 562, 612, 543, 519, 16246, 29500, 269, 3807, 607, 789, 917, 602, 5484, 329, 773, 543, 2506, 828, 786, 723, 547, 2285, 936, 741, 338, 267, 543, 789, 2933, 267, 543, 1577, 519, 13110, 15729, 979, 1524, 269, 9894, 333, 1406, 789, 917, 602, 888, 5445, 2461, 25064, 267, 855, 596, 666, 1406, 8044, 621, 269, 898, 779, 1945, 538, 713, 3781, 267, 1945, 1577, 10690, 267, 1945, 602, 5083, 1132, 543, 6172, 2125, 909, 741, 7953, 899, 513, 911, 4034, 344, 540, 4222, 267, 1776, 1126, 268, 26372, 269, 1924, 789, 804, 600, 828, 585, 782, 789, 2461, 4502, 267, 538, 16563, 267, 741, 28182, 1930, 267, 607, 952, 621, 941, 3020, 602, 519, 14860, 3297, 729, 11423, 909, 609, 519, 6360, 563, 5445, 1413, 1394, 950, 789, 3914, 519, 30160, 540, 2701, 788, 10830, 267, 543, 689, 519, 4463, 789, 1294, 519, 2197, 5432, 547, 873, 267, 11425, 676, 11425, 540, 922, 25649, 4779, 832, 267, 922, 546, 17480, 543, 23090, 23047, 1127, 267, 3262, 540, 513, 6727, 9735, 543, 12368, 344, 24406, 641, 1194, 896, 713, 3781, 269, 4024, 27984, 685, 268, 1492, 2914, 529, 1186, 543, 15293, 1922, 2231, 563, 2467, 779, 3627, 19598, 542, 779, 2777, 267, 896, 519, 13105, 540, 5685, 3724, 267, 513, 13304, 547, 519, 7532, 269, 3627, 5747, 513, 1434, 8938, 1296, 3516, 267, 543, 1010, 8250, 779, 1920, 6410, 547, 19578, 269, 8616, 972, 5654, 547, 581, 513, 1769, 538, 621, 267, 513, 979, 4565, 514, 17869, 269, 25272, 645, 3420, 5293, 593, 538, 519, 11313, 333, 6839, 625, 282, 1010, 1453, 2661, 538, 11968, 13353, 282, 519, 1753, 268, 269, 8669, 267, 6456, 896, 519, 10412, 6229, 338, 538, 519, 25065, 267, 10741, 606, 3750, 538, 11397, 536, 753, 31649, 23769, 2044, 269, 1656, 972, 1586, 269, 1306, 952, 972, 941, 1004, 267, 5095, 256, 1656, 972, 1586, 269, 6145, 513, 17689, 593, 645, 11448, 334, 30577, 2336, 2467, 779, 835, 3693, 602, 2760, 914, 7590, 267, 855, 2141, 4249, 4023, 269, 1403, 519, 2244, 568, 4730, 15361, 609, 707, 4064, 267, 2025, 8593, 3298, 267, 2490, 873, 547, 519, 4262, 563, 10907, 1484, 519, 1216, 519, 6607, 4724, 11785, 2982, 513, 3735, 3138, 558, 540, 546, 23677, 267, 23060, 26700, 1524, 538, 519, 8272, 337, 1681, 10750, 269, 3502, 2484, 21369, 267, 2066, 519, 5023, 540, 519, 595, 913, 267, 513, 13278, 2006, 521, 5661, 267, 1010, 3897, 544, 6814, 16245, 538, 519, 803, 698, 516, 30089, 269, 674, 691, 615, 11397, 267, 4724, 519, 8279, 593, 3038, 4532, 564, 1144, 13272, 267, 513, 20599, 6013, 693, 1964, 593, 519, 4262, 563, 3383, 519, 4262, 267, 1932, 267, 568, 18348, 1043, 547, 5991, 697, 267, 1256, 519, 4262, 269, 898, 705, 1938, 2274, 12858, 11936, 269, 2274, 12858, 11936, 25738, 513, 1291, 523, 267, 27823, 838, 719, 282, 605, 323, 16406, 13442, 267, 13504, 15918, 871, 267, 543, 1651, 663, 27853, 3613, 686, 6244, 563, 257, 9515, 2097, 538, 649, 996, 2599, 2389, 709, 1076, 2223, 3081, 513, 5639, 563, 2467, 779, 1776, 5349, 7815, 593, 2701, 788, 10830, 269, 1261, 14340, 689, 513, 11824, 13807, 636, 17382, 693, 741, 3952, 267, 2212, 1652, 267, 1317, 646, 814, 1010, 10359, 695, 1177, 331, 3772, 936, 1010, 2212, 563, 14881, 2760, 2938, 1200, 581, 4078, 267, 519, 525, 6928, 267, 543, 602, 779, 16168, 1317, 1250, 7911, 4422, 552, 523, 1200, 267, 543, 1352, 779, 561, 752, 513, 2749, 267, 646, 3081, 269, 17823, 1399, 5991, 710, 512, 685, 748, 663, 9522, 256, 1548, 596, 917, 827, 602, 18313, 1432, 267, 8197, 267, 798, 789, 917, 827, 602, 286, 31453, 602, 519, 3781, 568, 3843, 547, 1404, 873, 1776, 8945, 269, 27006, 602, 14692, 593, 519, 20224, 856, 972, 267, 11999, 282, 607, 1498, 513, 4487, 543, 513, 19898, 540, 606, 538, 1260, 1706, 762, 7256, 3794, 800, 941, 547, 581, 3144, 538, 676, 513, 795, 652, 607, 6094, 607, 602, 267, 513, 6928, 11999, 607, 32210, 7256, 3794, 1559, 593, 835, 1183, 601, 2336, 14881, 2995, 596, 2223, 3081, 519, 12094, 267, 968, 28205, 2296, 10458, 267, 891, 2885, 2335, 267, 789, 3893, 1100, 6139, 978, 593, 721, 1631, 269, 2290, 1554, 721, 4892, 649, 649, 601, 581, 607, 581, 1122, 513, 11288, 4182, 607, 789, 568, 593, 519, 4262, 282, 596, 4585, 3034, 2005, 779, 1932, 4686, 269, 29871, 543, 30037, 1930, 741, 28182, 547, 669, 22976, 267, 543, 1354, 789, 666, 669, 22976, 267, 513, 3905, 267, 733, 3319, 6681, 10845, 814, 3893, 538, 741, 31462, 1846, 3079, 563, 2108, 8005, 616, 596, 9495, 789, 3956, 267, 543, 968, 8489, 596, 689, 9495, 8409, 9739, 602, 678, 836, 267, 2407, 2914, 14800, 267, 6207, 267, 936, 519, 1232, 802, 540, 519, 3043, 804, 26802, 540, 519, 1296, 950, 519, 1158, 6299, 5523, 922, 4064, 269, 661, 577, 3996, 1631, 563, 292, 577, 3996, 267, 9811, 267, 855, 30172, 1869, 4996, 1170, 656, 269, 634, 2212, 1652, 10793, 2987, 7308, 1532, 2135, 4992, 10099, 3481, 268, 629, 871, 543, 2192, 693, 8897, 563, 2108, 2662, 19351, 2914, 14833, 993, 594, 286, 4270, 267, 594, 7058, 596, 917, 803, 267, 2725, 6856, 30179, 3122, 269, 1411, 917, 2494, 3241, 4858, 1146, 5633, 269, 1411, 2938, 803, 5180, 726, 550, 2465, 267, 594, 7058, 269, 4595, 2947, 1032, 594, 3893, 519, 525, 2025, 19598, 542, 1747, 1394, 1934, 267, 5186, 560, 689, 13343, 1889, 324, 519, 5259, 269, 594, 7058, 596, 917, 803, 267, 782, 1318, 3034, 2108, 2791, 1810, 1406, 917, 2494, 3241, 645, 4048, 17147, 5213, 1406, 917, 631, 15967, 519, 28988, 2548, 18313, 2108, 8072, 22142, 5873, 519, 2012, 269, 8550, 28461, 2108, 2791, 32503, 1765, 6866, 5873, 522, 685, 1250, 7911, 2977, 26234, 18313, 22068, 775, 269, 2334, 814, 2944, 585, 1864, 269, 898, 814, 2944, 585, 873, 267, 1932, 282, 2944, 13300, 269, 4256, 3952, 616, 4396, 593, 741, 1378, 14629, 1586, 543, 789, 2253, 547, 13486, 269, 9093, 1996, 536, 690, 625, 267, 2367, 786, 3094, 1169, 942, 563, 2005, 779, 3020, 269, 634, 838, 809, 18387, 1406, 513, 2262, 269, 3465, 1836, 646, 5956, 547, 28201, 1354, 741, 4064, 267, 513, 973, 5338, 22090, 704, 540, 5070, 269, 21661, 519, 14629, 9008, 543, 1524, 519, 9386, 519, 1279, 267, 3109, 267, 10982, 14801, 8731, 810, 8709, 8460, 4110, 676, 4110, 883, 519, 4158, 1657, 519, 15865, 595, 913, 14371, 633, 891, 2025, 8593, 3298, 606, 10759, 543, 789, 3513, 1491, 513, 13304, 269, 634, 20949, 547, 11654, 267, 547, 3535, 1864, 5722, 24670, 267, 547, 7715, 267, 547, 18061, 621, 593, 267, 568, 1932, 2178, 269, 7439, 568, 621, 15587, 713, 602, 688, 6160, 873, 547, 519, 22501, 10511, 823, 1141, 646, 20374, 269, 570, 8922, 874, 814, 2016, 6727, 5368, 547, 8823, 282, 741, 3952, 616, 538, 2025, 10092, 267, 741, 10209, 1132, 530, 698, 563, 257, 8855, 602, 3781, 519, 8907, 17907, 2097, 2879, 17274, 514, 685, 18313, 2108, 8855, 519, 1236, 858, 5377, 5346, 593, 519, 11824, 609, 519, 1614, 3046, 685, 3149, 540, 15555, 896, 621, 267, 543, 803, 896, 621, 609, 11313, 655, 543, 1250, 7953, 9575, 856, 676, 519, 7784, 685, 331, 267, 2407, 538, 2070, 18313, 2108, 13434, 685, 937, 519, 32531, 554, 913, 547, 856, 972, 267, 11313, 321, 719, 1141, 602, 13278, 2006, 23933, 1631, 18313, 10527, 14062, 267, 3649, 685, 333, 1406, 621, 286, 1656, 26442, 571, 9540, 18313, 5445, 23249, 269, 623, 1021, 286, 7316, 616, 789, 286, 1548, 538, 519, 2012, 540, 8614, 327, 9655, 777, 1002, 616, 789, 3257, 1934, 267, 2025, 13733, 267, 804, 15781, 4571, 3118, 540, 519, 10511, 527, 748, 5070, 286, 901, 1454, 568, 1978, 281, 952, 789, 1810, 1406, 6952, 741, 2669, 835, 1259, 789, 3580, 6952, 621, 1776, 563, 5445, 23249, 269, 670, 6064, 1359, 1524, 538, 2370, 5070, 1606, 331, 1938, 267, 789, 22401, 693, 519, 939, 531, 4364, 11634, 3019, 518, 269, 769, 519, 25865, 19986, 5182, 2775, 621, 1522, 5963, 581, 519, 14062, 267, 543, 18279, 26442, 571, 21786, 1782, 519, 16064, 543, 21400, 1010, 31953, 518, 543, 11842, 1018, 779, 4636, 609, 519, 30179, 3122, 8695, 11849, 648, 269, 1358, 22401, 693, 519, 7535, 540, 519, 29504, 2630, 873, 267, 543, 972, 519, 5182, 2775, 267, 31743, 519, 678, 31454, 267, 649, 2314, 8988, 8631, 540, 9909, 267, 8544, 1337, 267, 31402, 269, 634, 10971, 616, 1762, 563, 2108, 13434, 262, 937, 602, 3781, 267, 552, 327, 18313, 300, 14709, 256, 589, 32436, 1167, 867, 269, 589, 678, 3424, 540, 5348, 19817, 566, 267, 32561, 267, 27647, 545, 282, 513, 13556, 5023, 267, 606, 8900, 2212, 282, 513, 3368, 268, 2023, 14903, 267, 513, 5259, 563, 5591, 267, 1498, 256, 1635, 19711, 267, 1100, 256, 631, 14709, 267, 789, 2461, 6158, 540, 269, 631, 14709, 2336, 9515, 729, 519, 7385, 540, 835, 267, 519, 11078, 2987, 25237, 540, 519, 824, 269, 13012, 723, 3592, 7979, 31090, 602, 8635, 269, 1677, 1142, 1352, 2501, 1394, 782, 635, 17165, 267, 782, 2703, 850, 22838, 267, 782, 11419, 269, 589, 4807, 540, 1346, 2395, 563, 2108, 8855, 631, 14709, 602, 3781, 267, 30037, 286, 1411, 7948, 1406, 1294, 1200, 267, 1498, 267, 543, 596, 12758, 896, 519, 1236, 858, 282, 519, 1259, 1352, 2097, 2468, 653, 514, 685, 1524, 689, 1631, 12742, 267, 30321, 835, 1413, 693, 707, 25192, 5186, 653, 514, 685, 856, 899, 513, 8423, 1598, 2426, 14854, 267, 1305, 1524, 593, 519, 1236, 858, 267, 22619, 1221, 1200, 1236, 16630, 856, 936, 267, 543, 1305, 972, 575, 5074, 693, 519, 6801, 607, 865, 828, 3697, 607, 952, 1352, 729, 538, 519, 4356, 540, 5182, 3766, 1794, 514, 685, 1169, 3781, 609, 513, 8929, 30516, 9788, 2066 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12072, 17750, 994, 3546, 952, 4484, 17750, 711, 538, 2626, 912, 7386, 1820, 2891, 5591, 971, 4484, 538, 519, 2262, 5602, 7386, 4636, 4671, 1307, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1820, 2891, 2791, 2907, 29921, 713, 4484, 5602, 3546, 3136, 692, 1038, 20726, 815, 9337, 20189, 842, 263, 24987, 267, 20726, 267, 4484, 17750, 2020, 1038, 952, 20726, 2652, 2626, 912, 2018, 1820, 2891, 2791, 31665, 519, 2262, 256, 315, 333, 257, 1341, 20726, 1341, 27719, 333, 2791, 15068, 32405, 2018, 2736, 692, 1038, 952, 4636, 4671, 1307, 2652, 13290, 912, 2018, 1820, 2891, 2791, 616, 554, 6548, 10590, 9239, 2745, 2891, 295, 589, 715, 717, 631, 589, 715, 5602, 18524, 318, 8218, 815, 6936, 692, 6112, 3014, 318, 8218, 912, 825, 3014, 14067, 9850, 815, 3403, 3488, 13911, 834, 2452, 257, 547, 1404, 519, 3014, 267, 834, 1410, 527, 257, 547, 16718, 281, 30386, 825, 952, 3014, 14067, 9850, 2652, 834, 2452, 13426, 1038, 538, 14682, 877, 4590, 825, 8640, 3014, 14067, 9850, 2652, 834, 1410, 527, 13426, 1038, 3014, 318, 8218, 815, 8771, 454, 1038, 2736, 454, 0, 639, 340, 926, 657, 815, 2715, 10926, 692, 639, 340, 926, 657, 815, 19127, 825, 834, 577, 2314, 9899, 14277, 2419, 2314, 798, 476, 279, 2580, 834, 2190, 270, 1321, 270, 1001, 279, 2580, 834, 3725, 576, 335, 318, 4905, 257, 16689, 825, 834, 638, 4815, 9899, 14277, 5226, 4815, 546, 553, 1166, 2803, 2580, 834, 736, 270, 1321, 270, 1001, 279, 2580, 834, 571, 8610, 318, 6734, 31116, 10926, 2745, 263, 639, 340, 926, 657, 2020, 639, 340, 926, 657, 14277, 325, 3271, 25475, 19312, 815, 22373, 291, 7431, 32550, 25475, 2580, 834, 2420, 270, 1321, 270, 1001, 279, 2580, 834, 26244, 8610, 318, 4905, 257, 6540, 2745, 263, 639, 340, 926, 657, 2020, 2745, 12759, 263, 639, 340, 926, 657, 10947, 2891, 325, 3271, 25475, 257, 21875, 0, 333, 727, 284, 6358, 2891, 14707, 924, 694, 340, 562, 727, 281, 1422, 333, 5602, 573, 1228, 25507, 9272, 2891, 14707, 924, 647, 320, 7329, 1228, 281, 1422, 333, 27363, 4777, 523, 8619, 1103, 2739, 665, 2632, 698, 3930, 320, 284, 6358, 2891, 306, 639, 701, 7534, 632, 798, 523, 9809, 320, 16791, 665, 2632, 698, 3930, 320, 286, 1422, 333, 20257, 21639, 4590, 604, 7329, 1228, 13843, 476, 4792, 912, 825, 1820, 2891, 302, 31390, 1304, 324, 834, 1341, 562, 727, 1341, 834, 303, 5308, 306, 21397, 693, 754, 2939, 334, 3922, 9222, 5602, 19197, 798, 523, 8619, 1103, 2739, 665, 2632, 698, 3930, 320, 269, 21639, 3890, 2652, 257, 306, 8379, 13426, 825, 1820, 2891, 302, 31390, 1304, 324, 834, 1341, 562, 727, 1341, 834, 632, 557, 1583, 25680, 322, 542, 5964, 16948, 513, 2892, 320, 632, 1965, 704, 320, 8264, 3385, 23528, 12828, 912, 825, 1820, 2891, 302, 31390, 1304, 324, 834, 1341, 562, 727, 1341, 834, 715, 12728, 302, 1502, 14241, 693, 754, 2939, 334, 3922, 9222, 552, 533, 1712, 989, 340, 731, 7310, 14255, 2892, 320, 635, 636, 10590, 2020, 0, 258, 476, 5785, 14343, 955, 1948, 454, 258, 7170, 281, 12143, 476, 5881, 454, 258, 13517, 281, 23227, 622, 875, 547, 946, 17292, 1782, 543, 18438, 30047, 454, 258, 7827, 19868, 630, 8005, 267, 2691, 267, 1432, 2187, 258, 567, 14977, 2401, 570, 1342, 267, 6349, 270, 2420, 270, 2641, 267, 23095, 3009, 454, 258, 476, 5785, 14343, 955, 1948, 692, 5814, 4584, 548, 692, 258, 22873, 9332, 331, 1125, 4632, 454, 331, 560, 8368, 815, 314, 2639, 577, 4069, 815, 834, 5016, 258, 20509, 1699, 4584, 1194, 1239, 454, 2745, 2891, 2521, 15205, 4540, 4584, 1194, 1239, 281, 5602, 339, 787, 912, 825, 1073, 329, 17572, 815, 1930, 2891, 303, 1157, 548, 6155, 520, 2580, 834, 337, 321, 5602, 825, 1073, 329, 17572, 10574, 815, 4584, 548, 269, 2903, 263, 28128, 17572, 994, 825, 585, 1775, 538, 1073, 329, 17572, 10574, 912, 1038, 1820, 9217, 14277, 307, 2532, 19312, 1341, 834, 1923, 834, 1341, 1775, 14277, 26212, 640, 257, 7481, 825, 1073, 329, 17572, 25379, 4590, 825, 1820, 2891, 306, 15471, 2685, 16041, 3758, 5602, 21955, 11711, 8253, 28062, 13286, 607, 552, 912, 825, 1820, 2891, 20578, 5048, 281, 1412, 17572, 711, 1336, 262, 15419, 6112, 3903, 11203, 1412, 1410, 527, 12466, 825, 4305, 815, 1193, 9272, 3488, 1432, 568, 519, 1007, 4305, 2012, 286, 281, 1412, 4917, 825, 10862, 815, 1193, 9272, 3488, 1432, 568, 519, 1007, 4305, 10862, 286, 630, 14683, 270, 4364, 270, 869, 2567, 1412, 4917, 825, 546, 545, 305, 578, 815, 2715, 257, 307, 2532, 9899, 4305, 267, 834, 26212, 640, 9899, 10862, 8679, 825, 32102, 8368, 6910, 5560, 545, 305, 578, 994, 825, 2119, 912, 1038, 3903, 815, 3403, 2891, 13911, 1412, 1410, 527, 262, 547, 14827, 610, 1412, 10113, 262, 547, 3403, 1776, 4305, 834, 1040, 12294, 4590, 1038, 952, 3903, 711, 538, 18358, 1410, 527, 3299, 1412, 10113, 11172, 912, 2018, 6318, 1401, 4003, 2891, 8923, 946, 1412, 1410, 527, 262, 610, 1412, 10113, 262, 17161, 14826, 5602, 825, 4849, 1401, 4003, 607, 552, 912, 1038, 1820, 2891, 23911, 5048, 281, 14307, 552, 267, 552, 14857, 25269, 1029, 994, 1038, 1820, 2891, 23911, 1826, 281, 14307, 1826, 16216, 11723, 2745, 2891, 2080, 616, 707, 4247, 840, 1790, 1157, 1194, 281, 5602, 1721, 1775, 538, 32102, 8368, 912, 825, 1820, 9217, 14277, 307, 2532, 19312, 1341, 834, 1923, 834, 1341, 1775, 14277, 26212, 640, 19312, 2020, 2745, 2891, 303, 1157, 1782, 4247, 907, 23528, 28128, 17572, 815, 1930, 2891, 303, 1157, 548, 6155, 520, 2580, 834, 342, 321, 5602, 335, 1157, 548, 6155, 2794, 10857, 560, 8368, 267, 1073, 329, 17572, 994, 28128, 17572, 25379, 10797, 2745, 2891, 2080, 616, 707, 25461, 10002, 1157, 1194, 281, 19515, 28128, 17572, 815, 1930, 2891, 303, 1157, 548, 6155, 520, 2580, 834, 337, 321, 5602, 28128, 17572, 10574, 815, 4584, 548, 269, 2903, 263, 28128, 17572, 994, 1721, 1775, 538, 1073, 329, 17572, 10574, 912, 825, 1820, 9217, 14277, 307, 2532, 19312, 1341, 834, 1923, 834, 1341, 1775, 14277, 26212, 640, 257, 7481, 28128, 17572, 25379, 4590 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8541, 24874, 293, 3796, 18192, 2125, 23095, 2201, 281, 476, 1321, 270, 5881, 270, 1220, 278, 8191, 281, 7812, 595, 269, 7754, 31310, 19534, 5678, 13129, 12937, 585, 2871, 903, 14644, 532, 26442, 710, 476, 3607, 674, 12569, 25767, 630, 8512, 476, 273, 264, 13648, 769, 642, 2125, 5296, 267, 649, 666, 1711, 513, 1007, 1257, 12803, 543, 15682, 1210, 11711, 21902, 30606, 269, 634, 11711, 21902, 30606, 3568, 519, 3252, 8073, 293, 27212, 543, 8073, 17806, 17572, 547, 1711, 3758, 543, 17835, 269, 1403, 711, 267, 621, 12215, 519, 3758, 269, 910, 952, 972, 616, 1016, 19507, 619, 281, 621, 11974, 952, 519, 1016, 19507, 518, 6818, 538, 519, 3186, 785, 597, 267, 952, 711, 267, 621, 786, 581, 2813, 269, 6730, 621, 7125, 519, 590, 28719, 1599, 585, 782, 519, 6119, 543, 1016, 19507, 619, 538, 713, 1016, 19507, 518, 269, 5900, 3737, 28567, 269, 4635, 966, 7034, 547, 5299, 513, 16784, 969, 275, 269, 32502, 630, 277, 269, 273, 22995, 267, 476, 12573, 5784, 1040, 1520, 1091, 513, 3758, 610, 17835, 9138, 547, 519, 4540, 2619, 269, 25767, 17572, 8807, 5861, 4878, 630, 3240, 293, 27212, 7843, 335, 1040, 6282, 525, 17835, 1315, 295, 560, 307, 11391, 543, 12215, 6119, 269, 11872, 281, 901, 25767, 1505, 1152, 12215, 606, 1367, 17835, 269, 594, 991, 513, 642, 2125, 7097, 594, 666, 946, 547, 5299, 32766, 519, 1482, 1259, 594, 946, 519, 7097, 2630, 547, 5299, 6119, 269, 594, 1131, 5660, 621, 952, 4896, 1223, 948, 15660, 1336, 782, 594, 1185, 547, 798, 729, 5372, 834, 28128, 12396, 302, 5861, 4878, 17572, 14803, 257, 609, 834, 28128, 12396, 302, 5861, 4878, 293, 27212, 14803, 257, 538, 519, 7097, 1657, 269, 966, 10621, 5839, 549, 281, 25767, 543, 11412, 877, 674, 27212, 543, 28567, 4635, 11711, 3590, 8629, 630, 12396, 302, 264, 910, 30991, 281, 476, 276, 281, 6349, 17679, 7034, 5296, 17943, 267, 3487, 476, 1240, 1923, 8073, 910, 1546, 8541, 910, 28567, 674, 1245, 619, 910, 30991, 281, 476, 276, 281, 7367, 269, 15439, 290, 10757, 476, 1321, 267, 5780, 278, 5784, 269, 19743, 20226, 594, 991, 547, 1711, 513, 642, 2125, 7097, 602, 2636, 803, 547, 556, 4067, 543, 12215, 6119, 547, 513, 17835, 593, 519, 1482, 7746, 269, 594, 723, 7307, 547, 1265, 519, 3009, 585, 15646, 5446, 519, 3758, 1759, 593, 519, 5137, 4266, 1809, 1631, 594, 849, 991, 585, 713, 3758, 547, 581, 23652, 547, 513, 17835, 602, 5732, 3085, 512, 2291, 269, 966, 2125, 5296, 910, 6744, 532, 1142, 1016, 19507, 518, 585, 6119, 543, 5299, 6119, 269, 966, 2125, 5296, 1592, 782, 7300, 6119, 538, 17835, 543, 1016, 19507, 619, 269, 12861, 513, 966, 7034, 3758, 609, 519, 2702, 547, 2328, 856, 547, 513, 1257, 3758, 17679, 2125, 5296, 1357, 323, 822, 17835, 1711, 269, 25767, 543, 11412, 877, 21777, 3758, 269, 966, 7034, 5296, 17943, 267, 3487, 476, 1240, 1923, 8073, 910, 1546, 8541, 910, 28567, 674, 1245, 619, 269, 966, 7034, 5296, 532, 30285, 642, 2125, 264, 9978, 5850, 593, 875, 547, 1711, 543, 18419, 6119, 543, 32766, 269, 8943, 7151, 281, 26840, 1401, 14032, 17435, 535, 810, 5590, 535, 810, 269, 1215, 547, 2594, 3758, 5299, 538, 8837, 25817, 1500, 2653, 269, 594, 993, 3843, 547, 2328, 513, 7097, 602, 786, 1413, 693, 513, 2707, 15682, 267, 1118, 513, 1592, 540, 782, 519, 6119, 543, 32766, 2630, 621, 543, 1287, 735, 18311, 713, 609, 1776, 15682, 543, 5299, 1022, 7508, 6119, 543, 1711, 1022, 7508, 32766, 269, 769, 966, 7034, 875, 798, 596, 1118, 513, 15682, 543, 1287, 5299, 513, 3758, 883, 621, 286, 16740, 899, 547, 1118, 513, 17835, 538, 519, 3597, 540, 595, 552, 3052, 269, 595, 281, 19507, 518, 543, 1287, 17730, 513, 674, 27212, 9786, 8837, 952, 707, 3919, 2488, 3755, 609, 4859, 2230, 593, 3758, 13763, 267, 596, 991, 547, 1711, 513, 1007, 17835, 1142, 942, 513, 1007, 3593, 25767, 267, 11412, 877, 267, 8844, 267, 8073, 267, 1546, 8541, 674, 1245, 619, 543, 28567, 1775, 269, 12682, 19112, 2593, 269, 8281, 966, 2125, 5296, 25767, 28567, 769, 30615, 1863, 3301, 561, 327, 275, 269, 1375, 874, 339, 2593, 269, 8281, 966, 2125, 25767, 11711, 22647, 1863, 910, 3787, 30004, 1370, 332, 24599, 8940, 21993, 1695, 2224, 2579, 2593, 269, 594, 993, 3843, 547, 1711, 513, 16801, 3758, 547, 1711, 513, 3060, 17835, 1759, 593, 2780, 2012, 543, 1287, 5299, 519, 18376, 267, 3733, 26671, 267, 674, 2948, 2572, 689, 1142, 9043, 547, 602, 2671, 11065, 1078, 593, 602, 267, 596, 323, 4440, 581, 1732, 1055, 17935, 547, 798, 713, 538, 5295, 9515, 961, 630, 528, 966, 7034, 1040, 19743, 281, 594, 993, 513, 30497, 547, 966, 7034, 269, 594, 729, 530, 617, 1359, 952, 621, 568, 2009, 547, 1224, 555, 745, 519, 6119, 538, 513, 17835, 543, 7001, 519, 2063, 1899, 538, 1169, 3758, 6262, 12364, 3758, 264, 543, 2328, 547, 513, 2845, 12803, 602, 814, 2005, 1175, 5932, 606, 8900, 3758, 4289, 563, 339, 868, 3758, 269, 594, 723, 711, 9168, 713, 7097, 538, 1022, 1259, 267, 543, 723, 6836, 886, 269, 32766, 269, 7102, 10372, 689, 4896, 286, 26402, 281, 524, 27771, 20216, 324, 8668, 4338, 11901, 7034, 290, 4878, 17572, 2414, 9336, 27165, 3682, 12803, 18192, 2125, 4762, 580, 4851, 281, 1411, 991, 547, 7696, 707, 1378, 11553, 3633, 9128, 2562, 3633, 674, 11223, 543, 29486, 22814, 9950, 331, 572, 2433, 20444, 326, 7901, 4433, 889, 19507, 518, 20508, 834, 1284, 786, 5299, 547, 713, 17835, 20257, 1924, 3079, 540, 2469, 547, 1142, 17835, 543, 5299, 2250, 532, 519, 4408, 540, 6119, 267, 1775, 5206, 966, 7034, 5296, 547, 798, 519, 1482, 6185, 574, 535, 810, 17435, 5136, 329, 11073, 17572, 12861, 11711, 3590, 8629, 5590, 535, 810, 8073, 30606, 22829, 5296, 532, 12171, 850, 21902, 30606, 1040, 15528, 8206, 865, 799, 4971, 594, 1826, 538, 711, 788, 611, 269, 1287, 594, 786, 1711, 16801, 3758, 547, 1039, 17835, 538, 3593, 17835, 899, 14871, 8745, 281, 645, 15477, 543, 824, 3755, 17835, 1547, 5591, 991, 547, 5299, 267, 1175, 2322, 707, 642, 2125, 3758, 883, 713, 17835, 1411, 949, 849, 1616, 547, 1039, 3606, 7954, 267, 899, 10992, 2436, 519, 17835, 596, 1616, 547, 1711, 2907, 6818, 630, 20357, 8073, 293, 27212, 12651, 606, 5470, 538, 713, 2013, 264, 610, 28408, 2436, 290, 641, 3539, 513, 3758, 883, 606, 4540, 23407, 17835, 1210, 642, 2125, 269, 476, 271, 269, 1215, 547, 556, 4067, 513, 3758, 1247, 621, 568, 1373, 23652, 543, 5299, 2347, 269, 594, 991, 547, 5299, 513, 17835, 630, 935, 8877, 28567, 264, 883, 2789, 6753, 602, 616, 9138, 538, 513, 512, 868, 3758, 630, 320, 3758, 4087, 593, 1142, 1899, 264, 594, 723, 12500, 2255, 610, 966, 7034, 547, 5299, 513, 17835, 547, 1978, 1753, 11479, 1152, 269, 1635, 744, 3591, 3240, 21112, 538, 8468, 14644, 338, 269, 594, 917, 713, 568, 606, 2025, 2022, 855, 594, 723, 1044, 3168, 585, 513, 1259, 547, 2196, 966, 7034, 547, 5299, 543, 19307, 1239, 1759, 593, 4266, 9168, 543, 2196, 998, 28128, 325, 810, 5861, 4878, 17572, 11711, 267, 3186, 17572, 11243, 5861, 805, 525, 17835, 952, 621, 4867, 3085, 711, 2291, 267, 6282, 525, 1007, 2707, 17835, 2619, 1759, 593, 519, 17835, 621, 568, 538, 543, 28197, 1184, 693, 1403, 1699, 17835, 1281, 660, 2291, 896, 10278, 17835, 267, 1711, 621, 269, 1403, 3502, 1073, 329, 12396, 302, 12171, 27212, 2750, 1235, 19304, 291, 652, 1588, 2690, 3962, 1073, 329, 293, 3796, 769, 1073, 329, 12396, 302, 269, 7476, 293, 27212, 19304, 13126, 1040, 293, 3796, 1403, 3502, 1025, 333, 2750, 2850, 3973, 1403, 1025, 333, 2750, 2850, 568, 6936, 267, 1699, 3758, 786, 711, 581, 23652, 269, 1073, 329, 12396, 302, 5861, 4878, 17572, 1193, 13126, 5299, 547, 6494, 1729, 17835, 269, 554, 933, 1410, 270, 11034, 341, 332, 18192, 2125, 263, 3308, 1532, 553, 545, 1040, 309, 7034, 14644, 910, 6460, 9022, 547, 667, 8016, 311, 3758, 269, 717, 273, 297, 846, 270, 22056, 24670, 518, 3613, 4450, 11075, 263, 7387, 1040, 12861, 17835, 22373, 1193, 307, 11391, 307, 13759, 834, 316, 257, 1073, 329, 12396, 302, 5861, 5273, 293, 27212, 19304, 307, 11391, 291, 597, 264, 22527, 654, 27771, 9950, 11155, 834, 674, 27212, 6818, 256, 834, 1193, 307, 11391, 307, 13759, 7736, 1403, 269, 25767, 6119, 689, 1699, 15682, 547, 3077, 585, 1142, 3758, 538, 1193, 307, 11391, 13126, 8807, 3796, 654, 27771, 9950, 11155, 834, 290, 641, 3539, 3758, 281, 834, 3758, 834, 547, 834, 1193, 307, 11391, 307, 13759, 3758, 6983, 4878, 594, 723, 966, 289, 27771, 547, 5299, 32766, 610, 6119, 547, 824, 4087, 7868, 16801, 3758, 1705, 660, 960, 693, 782, 1175, 1705, 4986, 519, 1482, 607, 519, 966, 7034, 7097, 1775, 723, 799, 814, 5249, 5386, 8837, 2473, 303, 6191, 269, 7102, 811, 948, 1131, 581, 1390, 269, 23227, 566, 7097, 602, 25533, 525, 782, 519, 1547, 339, 868, 6119, 538, 513, 17835, 269, 14644, 1590, 581, 2196, 593, 519, 2199, 2780, 269, 966, 7034, 5296, 8943, 269, 4790, 1546, 8541, 5649, 18744, 13138, 16604, 269, 634, 1739, 3009, 14550, 519, 946, 540, 25767, 17572, 1505, 547, 5299, 513, 3758, 547, 513, 1007, 4087, 18192, 2125, 5296, 11711, 21902, 27014, 8629, 4704, 547, 513, 17835, 269, 642, 2125, 5296, 3417, 6119, 12861, 606, 834, 514, 2850, 3758, 257, 1505, 269, 3962, 17835, 568, 21986, 539, 16571, 1947, 543, 1022, 7508, 1016, 19507, 619, 543, 6119, 616, 23652, 1312, 2081, 269, 8110, 18504, 568, 1631, 1454, 1732, 593, 4514, 3529, 3889, 269, 8729, 547, 2473, 585, 12423, 543, 8989, 519, 17079, 269, 16440, 519, 7097, 607, 14271, 322, 293, 1245, 619, 269, 642, 2125, 269, 0, 763, 13176, 568, 513, 1360, 2442, 6293, 782, 2066, 519, 8608, 585, 1360, 1434, 2601, 269, 634, 6293, 3294, 568, 513, 4190, 4062, 540, 960, 267, 855, 519, 4992, 789, 1118, 609, 519, 948, 540, 513, 1480, 616, 1360, 4190, 269, 1403, 596, 723, 1044, 5461, 538, 1565, 875, 547, 1404, 519, 13176, 267, 1224, 593, 547, 1451, 811, 1344, 563, 20797, 707, 11733, 269, 17859, 540, 2436, 596, 917, 519, 22334, 267, 952, 596, 2811, 711, 4730, 693, 519, 1318, 32171, 267, 596, 2811, 2469, 547, 3280, 1659, 995, 269, 8347, 8026, 609, 513, 1558, 1258, 727, 269, 5213, 1405, 17743, 1932, 1454, 593, 1141, 707, 11263, 616, 269, 2334, 1223, 2014, 596, 547, 1106, 3983, 6208, 269, 10312, 593, 5329, 519, 1318, 10605, 563, 9596, 547, 1404, 538, 942, 269, 901, 568, 1898, 547, 4730, 519, 13176, 899, 513, 605, 269, 1411, 949, 723, 707, 9491, 1359, 1524, 267, 855, 596, 949, 723, 13581, 267, 3592, 538, 7596, 1043, 533, 13415, 950, 596, 6467, 22334, 269, 901, 786, 7494, 1860, 519, 3280, 540, 707, 2575, 269, 8347, 1210, 513, 1558, 1258, 727, 267, 513, 1268, 267, 610, 513, 2575, 7131, 269, 3399, 4730, 7444, 543, 1565, 875, 547, 1404, 3728, 607, 596, 1205, 811, 6899, 609, 621, 563, 26835, 12592, 676, 4259, 3853, 269, 3763, 3853, 602, 616, 12492, 762, 950, 596, 2253, 269, 15531, 2576, 945, 568, 1565, 547, 1404, 513, 13176, 786, 2285, 596, 513, 7649, 547, 2259, 609, 269, 6164, 3054, 547, 1945, 1169, 3018, 602, 596, 9959, 609, 2348, 1185, 513, 3232, 2259, 782, 5722, 2395, 269, 898, 786, 1491, 513, 2603, 540, 2182, 960, 563, 13981, 2575, 3069, 666, 948, 30497, 13176, 1235, 269, 898, 568, 835, 540, 1346, 5049, 602, 596, 2901, 2648, 610, 13842, 269, 634, 1983, 666, 948, 707, 4730, 30140, 269, 1411, 666, 1451, 3688, 899, 875, 547, 1224, 16147, 12125, 267, 8289, 22345, 6656, 2575, 267, 543, 782, 827, 4063, 4408, 269, 898, 666, 948, 596, 1732, 5431, 543, 1174, 1018, 596, 5873, 543, 1404, 563, 6826, 2871, 10560, 4245, 609, 3054, 269, 18776, 666, 581, 3500, 267, 865, 1810, 1405, 1205, 6619, 540, 3054, 269, 8347, 711, 547, 1305, 1932, 1082, 6788, 269, 901, 1223, 1175, 25339, 596, 543, 2014, 596, 547, 16718, 15587, 269, 6875, 1919, 7444, 543, 1205, 7899, 540, 2259, 538, 269, 3807, 3314, 1565, 519, 9238, 666, 1491, 513, 9645, 2179, 540, 942, 563, 2521, 4946, 3099, 547, 707, 13176, 2259, 269, 1879, 596, 2259, 519, 1482, 1919, 936, 543, 936, 1586, 267, 621, 666, 1205, 19309, 269, 2755, 6296, 2259, 568, 1898, 547, 4730, 1134, 267, 596, 1058, 849, 12235, 538, 930, 11791, 3688, 269, 8347, 4730, 8964, 602, 596, 899, 269, 1411, 666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19878, 476, 866, 267, 476, 1708, 271, 3040, 476, 6812, 332, 454, 273, 300, 4585, 25008, 454, 1103, 713, 8400, 267, 1323, 597, 644, 327, 5689, 1731, 786, 581, 7234, 1158, 11585, 998, 11837, 2433, 3345, 3013, 22996, 8600, 585, 772, 28903, 595, 10345, 1401, 4461, 543, 1585, 824, 2229, 11400, 666, 2744, 4324, 689, 713, 8400, 269, 634, 3992, 786, 581, 9447, 538, 2296, 543, 19446, 1312, 543, 519, 4967, 585, 519, 1482, 786, 581, 3177, 538, 2296, 563, 17484, 539, 593, 5463, 476, 279, 267, 476, 1708, 272, 454, 9359, 338, 593, 4239, 476, 274, 267, 476, 1708, 273, 3040, 476, 2190, 4245, 0, 763, 1942, 540, 7791, 1648, 5170, 547, 7771, 3648, 1032, 936, 1032, 1818, 621, 519, 10464, 652, 2707, 540, 1379, 269, 4595, 476, 1001, 271, 267, 519, 3902, 540, 3859, 1379, 8593, 676, 936, 476, 3199, 260, 1247, 519, 3902, 540, 8093, 10173, 7283, 5266, 24715, 656, 2394, 519, 2487, 1648, 6433, 269, 634, 4028, 4473, 538, 8093, 10173, 899, 5755, 267, 2067, 3154, 267, 543, 19020, 3282, 11363, 519, 2956, 540, 28006, 547, 7791, 1648, 547, 2569, 1648, 5777, 563, 4407, 7791, 1648, 568, 811, 1942, 15807, 543, 13476, 7874, 267, 1082, 3494, 602, 5710, 1963, 1118, 519, 1379, 7470, 811, 31877, 269, 901, 568, 7361, 1813, 547, 1614, 4295, 4145, 1700, 19702, 1464, 538, 7791, 1648, 2504, 267, 2487, 1379, 7470, 14286, 267, 543, 519, 3668, 540, 5180, 7308, 12641, 1442, 1379, 5108, 269, 1452, 4145, 723, 1044, 9619, 607, 3549, 3048, 622, 543, 2029, 10607, 7175, 7791, 1648, 547, 3565, 547, 513, 811, 6325, 1379, 7470, 563, 30262, 1168, 1963, 3565, 547, 513, 811, 7123, 1379, 7470, 1813, 547, 519, 2208, 538, 1883, 5885, 1648, 9922, 269, 23996, 1648, 4859, 4390, 2208, 267, 2539, 5663, 3790, 267, 543, 5355, 2797, 1489, 2569, 519, 4145, 4478, 7791, 1648, 269, 1452, 5885, 9922, 616, 6117, 519, 2104, 540, 811, 6325, 1648, 21870, 13324, 676, 5710, 1963, 563, 30262, 1168, 762, 6052, 31700, 454, 20175, 7470, 16132, 814, 3366, 547, 606, 2810, 2179, 540, 3167, 1379, 14443, 687, 2066, 519, 2136, 2276, 269, 3509, 1004, 1747, 519, 16620, 585, 891, 14443, 687, 593, 519, 2136, 2276, 685, 5912, 547, 7791, 1648, 269, 634, 13260, 543, 3668, 540, 5180, 7308, 12641, 1442, 1379, 5108, 616, 1455, 4128, 11855, 585, 519, 16132, 540, 1379, 21870, 563, 24868, 762, 5295, 19087, 454, 30262, 1168, 762, 1648, 568, 8185, 882, 5050, 593, 519, 4365, 547, 28761, 5352, 1379, 602, 568, 7856, 2066, 1379, 21870, 269, 3683, 569, 31063, 3275, 267, 26221, 267, 543, 3668, 540, 2842, 666, 782, 1860, 1379, 5108, 543, 949, 1860, 1379, 21870, 602, 616, 8185, 882, 5050, 593, 5710, 1963, 269, 2755, 7791, 1648, 568, 14949, 543, 811, 13476, 7874, 267, 519, 7915, 13260, 5932, 23249, 585, 1082, 1004, 563, 763, 2487, 1648, 6433, 8711, 519, 9228, 1966, 609, 7791, 1648, 269, 634, 3864, 5742, 1019, 5529, 2417, 883, 2067, 3154, 14425, 1813, 547, 519, 2539, 31032, 7721, 4624, 2842, 1379, 5108, 269, 901, 13260, 538, 1648, 5108, 5129, 513, 1507, 1909, 538, 519, 2799, 16126, 593, 8093, 10173, 899, 5755, 563, 1607, 568, 835, 540, 519, 1455, 4145, 585, 5710, 1963, 602, 519, 7791, 1648, 2872, 568, 9846, 5466, 998, 6639, 10124, 269, 1452, 3435, 2569, 519, 2179, 540, 13260, 998, 2799, 4859, 267, 8519, 5663, 3790, 267, 543, 4763, 540, 7791, 1648, 2959, 269, 2060, 891, 3435, 267, 5710, 1963, 1831, 811, 6325, 543, 3565, 547, 1648, 7470, 6617, 563, 763, 3328, 5993, 3167, 1379, 954, 8306, 8653, 2799, 689, 896, 2947, 3108, 547, 936, 5216, 3108, 829, 6075, 538, 519, 2136, 2276, 269, 3245, 1804, 4872, 899, 4993, 543, 7147, 547, 4872, 2066, 2342, 267, 5122, 1379, 856, 1137, 1860, 6634, 540, 1004, 269, 1452, 14443, 687, 7519, 4105, 2533, 543, 4213, 1247, 3056, 547, 1761, 2199, 1648, 3902, 26389, 563, 29209, 1379, 856, 1137, 538, 4993, 543, 7147, 14626, 3660, 609, 519, 2208, 540, 7791, 1648, 538, 1142, 1533, 269, 901, 3366, 1082, 1004, 547, 6318, 4145, 936, 7791, 1648, 13260, 543, 922, 9295, 547, 891, 7372, 856, 1137, 269, 4438, 519, 7147, 856, 720, 267, 519, 17294, 1256, 11855, 2842, 543, 3859, 585, 519, 1533, 779, 7372, 7470, 5821, 563, 4322, 856, 1137, 5031, 1776, 1455, 6161, 1644, 547, 7791, 1648, 543, 922, 13260, 269, 4438, 8445, 3747, 2053, 899, 3002, 6329, 267, 666, 7791, 1648, 3132, 2614, 1379, 547, 6474, 3747, 543, 2226, 1648, 7470, 8699, 286, 2755, 7147, 22755, 713, 3390, 547, 519, 21282, 267, 5710, 1963, 2965, 856, 704, 11526, 519, 7470, 11346, 779, 23004, 1282, 476, 3445, 2600, 540, 519, 3109, 719, 563, 2171, 1430, 543, 8693, 4039, 4800, 454, 30262, 1168, 762, 1648, 12346, 593, 3859, 267, 2842, 267, 543, 1216, 547, 5352, 1379, 799, 7182, 922, 2702, 547, 3761, 1379, 1472, 519, 9219, 269, 901, 8591, 606, 20437, 3693, 547, 7791, 1648, 5108, 1813, 547, 519, 4365, 269, 17897, 531, 7648, 538, 519, 8244, 540, 3859, 267, 2842, 267, 543, 1216, 666, 782, 1860, 875, 1454, 1648, 568, 3812, 543, 6740, 563, 4322, 2916, 543, 4365, 5829, 2188, 723, 8329, 547, 2487, 1648, 16839, 269, 769, 2342, 267, 519, 2539, 31032, 7721, 4624, 2842, 5108, 8329, 547, 606, 2799, 16126, 593, 2067, 3154, 14425, 269, 769, 7147, 267, 519, 16171, 540, 2842, 332, 1571, 8329, 547, 1447, 2842, 5108, 602, 267, 31903, 609, 824, 2188, 267, 3366, 547, 519, 1379, 7470, 2458, 2355, 532, 563, 2026, 6608, 4225, 7791, 1648, 267, 519, 2872, 1590, 2232, 519, 1455, 6161, 540, 4365, 543, 2916, 16126, 269, 1452, 4145, 5397, 11688, 13330, 1813, 547, 519, 17674, 1464, 540, 7791, 5108, 799, 949, 1291, 547, 31877, 1379, 21870, 269, 1717, 267, 519, 9283, 538, 6007, 1648, 4859, 4390, 543, 2799, 1648, 4398, 538, 5656, 2047, 2232, 713, 1966, 563, 1692, 20622, 1963, 17372, 1452, 31700, 454, 30262, 1168, 762, 1648, 8309, 547, 513, 811, 14388, 543, 7347, 1648, 7470, 269, 1306, 5710, 1963, 6521, 547, 519, 13557, 540, 1648, 5108, 585, 1379, 4556, 1091, 267, 972, 786, 581, 7864, 1379, 856, 1137, 1282, 8445, 3747, 269, 2755, 972, 616, 24669, 4145, 267, 7791, 2232, 1142, 835, 609, 6639, 10124, 543, 1239, 689, 3105, 1648, 16839, 563, 30262, 1168, 762, 1648, 5108, 568, 20244, 4756, 1813, 547, 922, 16126, 593, 519, 4365, 543, 2916, 269, 6052, 4859, 2232, 713, 6161, 676, 13936, 4430, 1648, 6383, 1282, 1055, 3620, 2293, 602, 949, 581, 26809, 1282, 8445, 3108, 269, 901, 8309, 547, 513, 811, 6325, 543, 14388, 1379, 7470, 563, 7021, 519, 2250, 8717, 267, 6007, 1648, 4859, 1949, 723, 27636, 606, 10373, 2179, 676, 2810, 4859, 4390, 1247, 8195, 4227, 3790, 269, 3683, 519, 2250, 8717, 267, 6007, 4859, 8057, 476, 1240, 24670, 609, 10626, 8397, 6007, 4390, 4397, 547, 1332, 676, 476, 10019, 260, 713, 1032, 4805, 269, 1452, 7372, 9283, 1852, 519, 13260, 540, 7791, 1648, 543, 849, 1711, 811, 14388, 2199, 1379, 21870, 563, 2026, 6007, 1648, 4859, 1949, 1831, 811, 10097, 267, 2950, 543, 6800, 666, 2569, 741, 16126, 593, 1379, 21870, 269, 1280, 1383, 267, 6800, 666, 9192, 3859, 1379, 5108, 543, 513, 23592, 5295, 13665, 799, 666, 3761, 1648, 547, 513, 7622, 585, 909, 547, 476, 1321, 3108, 269, 3502, 1152, 1281, 713, 2569, 1648, 12014, 267, 855, 621, 849, 4025, 1447, 8833, 593, 519, 1379, 7470, 1282, 8445, 3747, 3108, 543, 10607, 519, 10727, 540, 519, 7470, 563, 30262, 1168, 1963, 3657, 2859, 4039, 4192, 454, 7628, 2101, 1379, 856, 1137, 267, 972, 729, 513, 2239, 602, 5710, 1963, 8329, 8185, 547, 519, 12900, 269, 2755, 5710, 1963, 949, 723, 5129, 513, 1507, 1909, 538, 1379, 856, 1137, 267, 789, 849, 856, 704, 11526, 23004, 269, 769, 1840, 267, 930, 2477, 602, 5352, 519, 1034, 7791, 1648, 723, 519, 1034, 6325, 21870, 563, 30051, 12958, 5176, 3368, 540, 519, 2197, 779, 5201, 689, 5710, 1963, 609, 4566, 547, 3136, 23960, 7791, 10073, 269, 9122, 593, 519, 968, 21902, 19105, 3955, 8306, 30991, 12039, 2223, 5125, 814, 835, 540, 519, 1034, 6325, 21870, 538, 2342, 543, 519, 1158, 269, 5125, 779, 4994, 6060, 729, 476, 271, 269, 1839, 3108, 799, 729, 519, 3791, 1655, 538, 2342, 543, 2947, 2053, 1732, 982, 519, 2136, 2276, 856, 720, 2557, 563, 30051, 814, 7283, 32344, 538, 28006, 4625, 547, 7791, 1648, 269, 4595, 476, 1220, 277, 267, 5125, 814, 5176, 22712, 745, 9482, 922, 2671, 540, 7791, 5201, 5108, 1247, 922, 1379, 856, 720, 2557, 814, 5176, 10300, 1386, 269, 2755, 2101, 1379, 856, 1137, 17047, 609, 2799, 7791, 10073, 267, 5125, 8711, 875, 5710, 1963, 3565, 547, 811, 6325, 1379, 21870, 563, 30262, 1168, 762, 6052, 667, 1392, 2305, 454, 4407, 1142, 7791, 1648, 2707, 568, 882, 5050, 593, 519, 1604, 267, 29159, 540, 7791, 1648, 2994, 666, 2232, 13260, 538, 5108, 269, 22685, 1154, 2789, 2959, 899, 593, 17060, 543, 21369, 2842, 11396, 267, 3859, 8440, 543, 10581, 19661, 923, 267, 543, 19558, 1077, 666, 2569, 519, 1764, 540, 513, 2707, 896, 704, 14127, 269, 7780, 1988, 666, 849, 9772, 3747, 8112, 4507, 543, 5000, 2679, 1648, 4398, 547, 2569, 1648, 4616, 543, 3747, 1282, 8445, 3108, 563, 7628, 519, 2487, 12902, 3109, 8083, 538, 4993, 267, 519, 1533, 4362, 519, 1379, 540, 3747, 3210, 4507, 269, 634, 4993, 5398, 7780, 1988, 8189, 1336, 602, 3747, 3210, 8329, 547, 7470, 1489, 543, 8465, 3747, 3210, 949, 723, 7339, 730, 3109, 8083, 15587, 269, 4595, 5656, 1118, 909, 476, 4037, 260, 540, 2136, 2276, 5201, 6165, 267, 1818, 873, 811, 1648, 3608, 543, 5883, 1648, 6165, 3842, 8465, 3747, 3210, 666, 3970, 3109, 8083, 543, 2087, 7470, 10727, 563, 291, 1392, 2305, 2066, 1648, 2959, 267, 4507, 267, 543, 2520, 13132, 8309, 547, 513, 811, 6325, 1379, 7470, 269, 26157, 782, 891, 2553, 6971, 519, 16126, 593, 1022, 835, 2707, 269, 898, 849, 9607, 4145, 1472, 13065, 676, 26084, 1981, 2066, 1082, 2959, 543, 4507, 563, 30262, 1168, 1963, 8073, 2859, 4039, 4192, 5295, 6182, 1749, 454, 30262, 1168, 1963, 616, 811, 1942, 15807, 982, 824, 1648, 2959, 899, 2067, 3154, 267, 5755, 267, 543, 6046, 269, 634, 1648, 6433, 713, 1032, 12006, 519, 2956, 540, 28006, 547, 7791, 1648, 269, 2755, 1082, 1294, 519, 1942, 2640, 267, 972, 941, 1869, 1455, 4145, 1472, 7791, 1648, 10073, 563, 4322, 4145, 5059, 593, 519, 13260, 540, 1379, 5108, 543, 519, 2487, 1379, 856, 1137, 538, 4993, 267, 7147, 267, 543, 1082, 3864, 4872, 269, 2755, 891, 616, 24669, 4145, 267, 519, 11144, 540, 2029, 543, 10727, 2232, 1142, 540, 891, 2042, 269, 769, 1840, 267, 519, 5359, 689, 519, 2487, 856, 1137, 9414, 875, 5710, 1963, 3565, 547, 513, 811, 6325, 1379, 7470, 563, 7628, 2487, 856, 1137, 538, 4993, 543, 7147, 267, 5710, 1963, 5129, 513, 11358, 1909, 538, 11689, 1944, 519, 1379, 21870, 269, 25895, 8441, 899, 4824, 6007, 4859, 4390, 2059, 609, 8519, 1942, 1118, 621, 1447, 2693, 4756, 1648, 5108, 786, 1860, 1379, 7470, 10727, 269, 7053, 267, 4824, 1648, 4507, 543, 2679, 4398, 786, 2569, 4452, 2566, 1282, 8445, 3108, 547, 3565, 547, 513, 811, 6325, 1379, 7470, 563, 2026, 7791, 10073, 5170, 547, 17108, 267, 1379, 21870, 786, 1831, 811, 5150, 543, 6325, 269, 5125, 779, 5912, 568, 606, 1271, 2013, 1353, 602, 8711, 519, 9153, 540, 5710, 1963, 269, 2755, 5125, 12958, 811, 7791, 1648, 267, 13868, 8093, 10173, 543, 6046, 267, 519, 3328, 1379, 856, 720, 8653, 5170, 547, 7771, 269, 901, 14550, 1175, 875, 3532, 5710, 1963, 616, 538, 17516, 1379, 21870, 543, 4227, 519, 1981, 540, 2104, 856, 1137, 269, 0, 288, 345, 27930, 13568, 19264, 26513, 1323, 541, 1955, 534, 990, 11339, 585, 22870, 12782, 485, 339, 21601, 5240, 547, 1665, 519, 2197, 781, 14412, 4303, 563, 4002, 2904, 476, 2764, 267, 476, 1708, 273, 267, 519, 29494, 329, 8643, 1004, 8661, 519, 476, 10441, 628, 16683, 540, 14412, 4303, 269, 2201, 713, 1554, 267, 811, 982, 513, 2540, 3516, 267, 29494, 13568, 29064, 922, 7115, 543, 519, 29494, 13568, 14891, 6243, 630, 4696, 305, 264, 729, 8547, 607, 519, 1101, 16712, 11180, 1533, 538, 519, 5101, 543, 3003, 7332, 1158, 563, 763, 10661, 540, 519, 29494, 13568, 14891, 6243, 593, 2904, 476, 2764, 267, 476, 4489, 279, 267, 729, 513, 8978, 2680, 543, 835, 540, 519, 32219, 3817, 538, 519, 1686, 540, 29494, 13568, 269, 29494, 13568, 781, 1101, 6243, 7608 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 5116, 593, 1312, 5011, 593, 519, 2681, 8868, 540, 938, 2681, 609, 606, 3160, 3845, 540, 476, 1789, 5232, 563, 19853, 27280, 7285, 616, 476, 6246, 5232, 267, 543, 0, 305, 4456, 4696, 3198, 2433, 30782, 568, 835, 540, 519, 11455, 8370, 3923, 540, 9099, 1032, 269, 898, 568, 849, 835, 540, 519, 25004, 30361, 540, 5771, 269, 30782, 568, 513, 13411, 3923, 540, 17509, 267, 26126, 543, 11755, 585, 12356, 267, 519, 13794, 540, 5771, 269, 901, 1797, 602, 12356, 3728, 1142, 1554, 936, 713, 3923, 585, 5111, 476, 1240, 3108, 829, 1554, 269, 898, 568, 9976, 607, 519, 3923, 1282, 799, 17124, 4607, 519, 3355, 11240, 725, 540, 519, 20845, 267, 519, 13411, 1433, 585, 12356, 269, 634, 20845, 2829, 282, 968, 763, 3923, 540, 30782, 1496, 529, 602, 316, 538, 799, 729, 7000, 519, 15878, 685, 534, 267, 5583, 585, 519, 1004, 543, 2312, 15997, 540, 5583, 543, 21205, 269, 1924, 945, 1197, 24738, 1496, 1492, 1007, 7599, 540, 316, 519, 3923, 267, 1577, 1864, 3728, 621, 1848, 634, 3483, 540, 30782, 568, 547, 12492, 2282, 1145, 543, 804, 4923, 612, 547, 2696, 998, 20174, 7029, 547, 17509, 19001, 267, 547, 2285, 1880, 8561, 17493, 543, 28908, 268, 713, 568, 5000, 1282, 713, 3923, 269, 30782, 568, 849, 942, 585, 1713, 2146, 543, 1920, 6891, 543, 3246, 1489, 269, 3509, 1367, 543, 3885, 786, 7281, 543, 3548, 1927, 543, 1489, 1142, 824, 538, 1082, 2081, 2429, 713, 1974, 269, 30782, 849, 11414, 721, 827, 1582, 1852, 543, 9015, 267, 15093, 267, 543, 3576, 533, 640, 593, 1346, 945, 616, 17237, 543, 1447, 19539, 269, 1656, 593, 519, 824, 1688, 30782, 2057, 721, 689, 267, 3983, 6411, 267, 3983, 2623, 267, 791, 675, 4555, 267, 6704, 267, 4189, 267, 543, 10845, 269, 20845, 568, 7000, 585, 519, 5260, 21831, 540, 18495, 269, 20845, 2348, 1044, 19942, 1524, 593, 519, 1101, 267, 15795, 267, 1000, 27097, 267, 19412, 18818, 543, 8938, 21144, 628, 30782, 267, 4033, 957, 540, 9299, 2358, 899, 11755, 267, 2542, 519, 20845, 267, 17493, 616, 849, 23641, 1282, 30782, 269, 12356, 616, 5000, 547, 1483, 519, 2898, 20845, 538, 476, 1789, 2395, 269, 15878, 685, 534, 5018, 602, 16589, 10238, 1080, 4189, 519, 17145, 540, 2220, 710, 267, 1317, 621, 568, 513, 590, 2562, 543, 606, 29313, 296, 4953, 312, 630, 305, 6359, 1087, 1040, 3962, 1554, 267, 1354, 21554, 267, 12356, 7747, 513, 840, 1922, 770, 7594, 1572, 519, 647, 327, 3233, 269, 2991, 16069, 513, 2110, 942, 1354, 21554, 267, 12356, 2253, 519, 1101, 11755, 540, 519, 1554, 267, 674, 1690, 337, 269, 1879, 519, 3141, 5036, 972, 568, 513, 6443, 7594, 1572, 968, 296, 1111, 541, 6100, 7316, 1660, 3916, 666, 2736, 972, 3728, 609, 741, 2828, 543, 1920, 269, 634, 3923, 540, 30782, 11414, 721, 827, 811, 982, 17509, 269, 570, 2752, 288, 310, 296, 295, 616, 849, 5340, 1282, 30782, 269, 2552, 9009, 547, 2442, 3661, 267, 789, 616, 711, 1271, 269, 1411, 666, 20049, 30782, 16858, 676, 6031, 968, 305, 600, 24460, 918, 732, 655, 2223, 799, 18922, 883, 968, 5970, 513, 21464, 30782, 2223, 610, 968, 305, 600, 24460, 631, 889, 541, 752, 2223, 799, 10199, 18922, 883, 968, 31917, 30782, 1848, 2991, 30782, 12356, 8661, 1614, 14812, 1572, 661, 573, 269, 592, 12171, 10560, 269, 2201, 519, 1101, 1554, 540, 661, 573, 12356, 3091, 661, 573, 11755, 267, 3643, 1920, 543, 2828, 543, 8661, 936, 3536, 543, 13344, 269, 0, 20245, 1382, 1419, 796, 1723, 951, 519, 2856, 602, 812, 13402, 703, 6350, 687, 2569, 519, 23812, 540, 519, 5117, 563, 22923, 1382, 3594, 666, 2824, 1216, 2298, 607, 513, 1888, 267, 15388, 519, 1699, 6708, 540, 1216, 5533, 607, 1134, 607, 938, 3646, 547, 7753, 621, 563, 2690, 3236, 267, 1018, 2591, 616, 1459, 538, 18513, 1216, 1949, 3710, 2282, 4213, 602, 3542, 1393, 267, 971, 607, 15327, 610, 6694, 14078, 286, 1215, 1522, 2199, 1216, 7727, 610, 4357, 19401, 581, 12936, 676, 713, 3510, 888, 3891, 814, 6026, 2296, 693, 519, 476, 277, 268, 1321, 1377, 585, 811, 982, 476, 736, 1296, 563, 3891, 814, 2854, 14916, 538, 5339, 9880, 267, 2875, 1603, 11382, 29422, 543, 3875, 4928, 3872, 26336, 563, 10454, 4541, 568, 538, 11605, 2437, 2687, 547, 1325, 717, 648, 267, 543, 1010, 3948, 9356, 938, 705, 4575, 9021, 585, 519, 1416, 540, 519, 1604, 543, 519, 23812, 540, 938, 1216, 3761, 563, 2467, 568, 5310, 1100, 811, 1271, 4305, 982, 27733, 938, 1053, 538, 891, 9021, 563, 2005, 568, 5227, 547, 946, 9499, 630, 18485, 2228, 543, 22356, 1070, 4930, 543, 824, 2959, 630, 18484, 1405, 7340, 547, 946, 17096, 2638, 518, 264, 602, 4308, 609, 3621, 3137, 543, 2689, 707, 1888, 689, 519, 1034, 3181, 23534, 2427, 563, 19324, 2403, 952, 596, 4956, 547, 3247, 593, 11786, 3584, 585, 1382, 4574, 267, 596, 1058, 5965, 538, 4434, 543, 1413, 909, 585, 519, 2178, 7440, 547, 1489, 707, 5098, 563, 10932, 4574, 602, 1711, 2875, 8733, 4656, 616, 4061, 1898, 267, 543, 519, 3584, 585, 1346, 4574, 1058, 1711, 543, 5000, 7255, 15114, 827, 938, 2067, 2200, 563, 763, 7521, 936, 2518, 8337, 568, 1869, 835, 540, 519, 1034, 29653, 3584, 538, 2487, 1296, 269, 0, 3192, 272, 269, 722, 510, 7377, 2827, 949, 711, 581, 4867, 1459, 269, 2073, 4107, 2199, 885, 538, 3162, 4000, 630, 11152, 8472, 9114, 2630, 606, 15820, 540, 476, 4968, 544, 1657, 4262, 1377, 1141, 606, 6059, 1858, 540, 476, 4375, 476, 4335, 5998, 273, 814, 1044, 32519, 269, 901, 2985, 729, 2063, 12995, 593, 476, 273, 5412, 476, 1708, 271, 267, 693, 476, 1691, 281, 4905, 269, 476, 3245, 7422, 538, 17896, 22656, 621, 729, 6700, 602, 25658, 1223, 7639, 17303, 29649, 2175, 585, 1896, 4374, 676, 30565, 532, 2933, 538, 519, 10799, 23628, 267, 6932, 950, 4195, 1216, 8120, 269, 15011, 25428, 267, 681, 269, 2473, 32667, 267, 808, 12171, 269, 2073, 1280, 1082, 1296, 570, 732, 25987, 11491, 32070, 729, 5156, 547, 581, 606, 13591, 3984, 585, 519, 7489, 5761, 22381, 651, 3474, 6782, 574, 639, 530, 6856, 2006, 328, 630, 298, 518, 6975, 267, 476, 6942, 279, 1070, 855, 631, 7865, 28952, 4951, 538, 476, 1960, 273, 602, 713, 729, 20093, 821, 748, 269, 634, 3349, 3568, 5409, 31904, 547, 10070, 7515, 540, 15013, 1759, 593, 519, 2829, 267, 1296, 267, 543, 8963, 1137, 5697, 269, 476, 6736, 519, 1360, 1164, 24186, 6592, 538, 519, 715, 1088, 523, 328, 5211, 267, 6805, 29068, 941, 1869, 1459, 538, 519, 21439, 1519, 281, 536, 2526, 557, 932, 3711, 731, 807, 530, 22844, 6199, 328, 267, 669, 1241, 558, 1749, 267, 23731, 5255, 320, 26347, 630, 30344, 881, 1749, 264, 543, 3276, 8089, 4874, 15939, 26347, 941, 849, 1336, 855, 538, 1360, 1970, 2338, 269, 25672, 860, 27528, 2405, 539, 9934, 523, 476, 10695, 281, 30589, 268, 276, 3607, 269, 543, 570, 732, 25987, 11491, 32070, 281, 31297, 4223, 6882, 2073, 769, 519, 3162, 4000, 267, 519, 2879, 841, 814, 32519, 1114, 2010, 540, 7226, 267, 689, 8933, 267, 12647, 543, 12555, 23668, 547, 6405, 20898, 23854, 543, 25798, 22253, 269, 8419, 267, 16127, 267, 27924, 267, 7147, 267, 17896, 22656, 543, 2475, 7910, 11866, 269, 2073, 898, 568, 21483, 602, 29371, 540, 570, 732, 25987, 11491, 32070, 689, 835, 1216, 7853, 610, 5757, 6952, 618, 547, 1776, 4386, 1780, 1947, 3842, 5017, 267, 16113, 1216, 325, 25717, 267, 799, 3548, 873, 543, 20704, 873, 2663, 267, 5310, 538, 1776, 7226, 269, 2073, 570, 732, 25987, 11491, 32070, 568, 1312, 851, 1156, 21925, 543, 9065, 990, 643, 760, 541, 748, 267, 4352, 9038, 723, 1044, 4080, 269, 476, 901, 533, 13224, 568, 513, 26654, 531, 1242, 2497, 14084, 5612, 1657, 519, 522, 525, 20652, 543, 10953, 1152, 1310, 519, 2879, 841, 814, 6603, 15657, 269, 476, 5525, 538, 18010, 630, 312, 784, 1696, 620, 269, 1426, 264, 609, 6805, 1102, 320, 26915, 543, 3134, 604, 320, 26915, 29068, 267, 2523, 1141, 922, 24186, 616, 1164, 269, 2073, 634, 10285, 7350, 540, 570, 732, 25987, 11491, 32070, 2115, 547, 581, 11567, 538, 1469, 1354, 922, 2551, 6384, 666, 581, 5265, 14648, 689, 11050, 10386, 269, 2073, 769, 8419, 570, 27462, 2806, 321, 2714, 630, 4198, 273, 264, 6592, 513, 5860, 540, 570, 732, 25987, 11491, 32070, 476, 29900, 275, 544, 5889, 273, 799, 8813, 1369, 519, 2039, 540, 24186, 6027, 609, 513, 11709, 966, 8696, 10544, 538, 513, 1297, 540, 4609, 538, 7187, 918, 11445, 313, 21343, 9539, 7614, 267, 1141, 729, 6027, 964, 985, 885, 476, 279, 6246, 269, 277, 26115, 22144, 17168, 269, 273, 544, 5889, 273, 547, 476, 21709, 5038, 269, 275, 26115, 22144, 15946, 2764, 269, 272, 544, 5889, 273, 269, 476, 634, 20169, 7387, 568, 2999, 272, 5889, 273, 6515, 538, 4463, 609, 1063, 476, 272, 269, 276, 543, 476, 275, 269, 279, 627, 528, 3149, 269, 14755, 519, 30594, 4211, 25683, 621, 568, 835, 540, 519, 10545, 3165, 339, 3471, 2139, 543, 693, 519, 1482, 942, 849, 519, 1655, 5498, 29818, 7382, 2450, 269, 634, 594, 30002, 4414, 5903, 540, 21784, 2989, 15661, 476, 1001, 273, 281, 552, 11053, 13679, 279, 1724, 288, 8099, 25172, 274, 269, 570, 732, 25987, 11491, 32070, 568, 11259, 547, 8514, 7190, 543, 5533, 543, 621, 7109, 919, 513, 1507, 4110, 540, 24952, 630, 289, 550, 1335, 11219, 583, 1154, 476, 4198, 277, 267, 918, 691, 599, 5271, 1696, 620, 269, 476, 1220, 280, 1040, 476, 901, 5267, 602, 15285, 540, 10351, 1400, 2281, 538, 519, 9065, 776, 543, 741, 7766, 12625, 538, 519, 2156, 617, 533, 13224, 607, 19046, 27909, 568, 711, 513, 6024, 1184, 936, 513, 9960, 4005, 855, 4386, 607, 835, 610, 811, 1412, 1723, 327, 2176, 262, 610, 1412, 335, 592, 4513, 262, 799, 3247, 1354, 519, 4332, 2557, 540, 1762, 25658, 10301, 922, 5021, 269, 31762, 520, 19780, 636, 1629, 619, 636, 267, 8000, 600, 690, 17662, 5743, 16476, 267, 715, 8233, 2801, 320, 562, 13224, 8932, 1040, 2073, 10426, 633, 29371, 949, 849, 2049, 3842, 18290, 593, 16996, 543, 10935, 13009, 619, 543, 3842, 1216, 29253, 689, 835, 1216, 7853, 547, 1776, 585, 4853, 543, 12555, 5301, 269, 634, 476, 1428, 543, 476, 736, 17529, 3165, 339, 1678, 568, 1634, 607, 513, 14987, 7382, 269, 834, 5353, 1783, 531, 2090, 540, 1079, 5095, 540, 267, 26960, 3999, 529, 645, 269, 715, 1421, 30215, 808, 269, 631, 1421, 674, 31867, 517, 674, 269, 674, 269, 1299, 16763, 514, 654, 269, 681, 269, 630, 2735, 271, 1040, 15661, 814, 17808, 12992, 538, 1804, 4853, 2371, 543, 22253, 538, 513, 3165, 11058, 30987, 538, 5189, 2127, 538, 4000, 267, 1813, 547, 922, 12402, 547, 1831, 1360, 10053, 630, 7343, 13987, 1696, 620, 1421, 476, 1220, 280, 1040, 2368, 533, 923, 689, 1250, 13688, 2807, 1496, 2969, 307, 21815, 316, 19748, 517, 31679, 6652, 689, 1250, 25543, 7382, 1496, 2969, 307, 21815, 316, 3143, 4367, 2838, 1496, 2969, 307, 21815, 316, 9622, 12245, 20167, 322, 269, 476, 634, 2450, 540, 5104, 32596, 693, 4332, 568, 476, 271, 269, 278, 5889, 273, 269, 272, 6515, 269, 13575, 6960, 538, 2681, 267, 476, 278, 547, 476, 1556, 627, 528, 3149, 267, 20436, 2299, 598, 545, 7387, 3337, 609, 1896, 9343, 540, 1507, 16321, 3380, 630, 288, 6277, 2714, 476, 4198, 273, 1040, 2073, 9741, 568, 1634, 540, 519, 1279, 2165, 2551, 15088, 540, 570, 732, 25987, 11491, 32070, 543, 4681, 3100, 547, 581, 30137, 269, 6348, 785, 4246, 13985, 1738, 15661, 18482, 269, 634, 4367, 540, 713, 2249, 538, 519, 12144, 814, 4299, 519, 5065, 1200, 2466, 26029, 7387, 14025, 543, 2623, 630, 7079, 744, 8803, 327, 719, 1696, 620, 269, 589, 1804, 851, 540, 519, 2473, 269, 803, 9807, 328, 6108, 519, 4832, 13964, 538, 1250, 476, 1911, 271, 2148, 16983, 269, 769, 519, 3552, 713, 32729, 7610, 328, 5889, 22935, 630, 2735, 280, 264, 1336, 5207, 24186, 538, 4832, 950, 5210, 6603, 741, 5021, 6466, 22513, 12728, 382, 350, 526, 14162, 1696, 620, 269, 4595, 594, 1185, 630, 1220, 280, 264, 970, 1905, 565, 730, 1239, 676, 962, 784, 1696, 620, 269, 476, 1001, 271, 1040, 769, 4334, 547, 519, 7187, 851, 540, 519, 2475, 267, 1141, 11288, 5526, 547, 581, 519, 1034, 1271, 6152, 585, 519, 4367, 540, 12748, 12362, 2249, 267, 16983, 9038, 540, 519, 4874, 30666, 5198, 540, 9253, 534, 32403, 16321, 1529, 1092, 543, 9253, 534 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7384, 543, 1239, 14839, 267, 6606, 269, 1284, 786, 3382, 2035, 971, 607, 5365, 10386, 267, 4908, 19003, 267, 543, 28321, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 2111, 547, 5659, 543, 14650, 6786, 1210, 5124, 780, 2162, 28686, 6341, 7204, 692, 14294, 531, 10386, 568, 519, 1184, 540, 14291, 513, 6024, 6066, 5365, 883, 513, 15768, 6066, 5365, 269, 769, 824, 1913, 267, 649, 616, 14291, 513, 5365, 602, 568, 3989, 585, 782, 942, 883, 513, 5365, 602, 568, 1152, 3989, 693, 1808, 942, 1128, 1218, 269, 901, 568, 513, 2629, 1900, 538, 1082, 5365, 4393, 3156, 267, 607, 1034, 3059, 1949, 666, 1152, 1184, 15768, 6066, 6786, 780, 763, 3009, 6256, 2630, 9727, 875, 547, 3732, 513, 6024, 6066, 5365, 1210, 17877, 269, 634, 2387, 338, 2217, 319, 1599, 3217, 538, 513, 6024, 6066, 5365, 543, 513, 1305, 540, 4351, 1128, 1218, 693, 799, 547, 3732, 519, 5365, 269, 634, 2387, 12639, 269, 718, 263, 12690, 318, 13318, 1218, 10922, 1439, 4671, 14725, 322, 23375, 2783, 5849, 602, 782, 519, 4351, 1128, 1218, 616, 1369, 519, 959, 15635, 566, 942, 540, 519, 5365, 780, 3499, 7090, 454, 3698, 3732, 4311, 267, 715, 4671, 14725, 322, 267, 715, 5334, 3263, 267, 1439, 4671, 14725, 322, 267, 4351, 318, 13318, 1218, 2187, 825, 8173, 825, 27842, 519, 6024, 6066, 5365, 693, 519, 2016, 1128, 1218, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 715, 4671, 14725, 322, 2433, 703, 454, 1038, 7089, 540, 942, 1128, 1218, 538, 519, 959, 15635, 730, 5365, 780, 825, 715, 5334, 3263, 2433, 703, 454, 1038, 7089, 540, 5439, 547, 1491, 689, 519, 5365, 780, 825, 1439, 4671, 14725, 322, 2433, 10581, 454, 1038, 7736, 942, 540, 519, 959, 15635, 730, 5365, 780, 825, 4351, 318, 13318, 1218, 2433, 26998, 6783, 454, 1038, 2382, 1218, 693, 799, 547, 3732, 519, 5365, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 1582, 6745, 32294, 5334, 600, 9482, 2433, 26998, 6783, 454, 1038, 6341, 9482, 5365, 780, 825, 8173, 825, 7682, 5286, 269, 718, 263, 12690, 318, 13318, 1218, 10922, 1439, 4671, 14725, 322, 1070, 26444, 1038, 18011, 21579, 7204, 1128, 1218, 1590, 581, 1447, 982, 610, 3160, 547, 1439, 4671, 14725, 322, 9538, 2020, 825, 1582, 6745, 32294, 5334, 600, 9482, 815, 5286, 25910, 18217, 5334, 3263, 994, 825, 1582, 6745, 32294, 5334, 600, 9482, 11468, 316, 815, 1582, 6745, 32294, 314, 12639, 269, 1037, 263, 12690, 318, 13318, 1218, 1040, 770, 4286, 17301, 22708, 825, 2132, 1582, 6745, 32294, 5334, 600, 9482, 454, 7884, 2162, 18140, 1154, 519, 6341, 9482, 28686, 692, 5629, 649, 723, 25541, 519, 5365, 267, 649, 666, 14650, 621, 1210, 32287, 269, 634, 2387, 7120, 319, 1599, 3217, 538, 519, 25541, 5365, 543, 13602, 621, 1996, 519, 942, 1128, 1218, 693, 799, 621, 729, 25541, 269, 634, 2387, 325, 12127, 1125, 319, 9936, 5036, 519, 2450, 540, 519, 4137, 267, 1247, 519, 2387, 27583, 319, 9936, 5036, 519, 2140, 540, 519, 4729, 269, 634, 2387, 7120, 319, 1599, 568, 1031, 547, 4729, 519, 6024, 6066, 5365, 267, 1247, 519, 2387, 7120, 319, 1599, 609, 519, 2387, 262, 549, 262, 319, 4661, 568, 1031, 547, 4729, 519, 25541, 5365, 607, 2699, 10580, 780, 3499, 7090, 454, 3698, 4729, 4311, 267, 715, 4671, 14725, 322, 267, 10386, 318, 13318, 1218, 267, 4729, 18989, 2187, 825, 8173, 825, 1773, 1824, 519, 6024, 6066, 5365, 543, 519, 25541, 5365, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 715, 4671, 14725, 322, 2433, 703, 454, 1038, 7089, 540, 942, 1128, 1218, 538, 519, 959, 15635, 730, 5365, 780, 825, 10386, 318, 13318, 1218, 2433, 26998, 6783, 454, 1038, 2382, 1218, 693, 799, 519, 5365, 729, 25541, 780, 825, 4729, 2433, 536, 944, 267, 18593, 454, 1038, 6787, 547, 4729, 519, 6786, 269, 4347, 5435, 568, 6936, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 7183, 692, 825, 8173, 825, 952, 4729, 912, 1038, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 476, 275, 4917, 1038, 12301, 26644, 3488, 21579, 7204, 5073, 1038, 12301, 19502, 18828, 30784, 1052, 263, 271, 267, 715, 4671, 14725, 322, 1070, 1582, 6745, 32294, 994, 1038, 12301, 19502, 4433, 600, 7204, 318, 13318, 1218, 267, 1582, 6745, 32294, 5334, 600, 9482, 267, 1412, 549, 3299, 476, 544, 325, 322, 8782, 333, 821, 3299, 12508, 1125, 284, 276, 994, 1038, 12301, 11859, 16932, 3488, 307, 1307, 1496, 338, 316, 5073, 1038, 12301, 269, 29786, 3488, 8649, 680, 3363, 5073, 1038, 12301, 11859, 3916, 9230, 271, 267, 476, 1220, 4917, 1038, 12301, 26942, 263, 12148, 994, 1038, 12301, 20481, 4590, 7884, 2162, 22039, 8606, 18146, 692, 293, 15968, 19003, 568, 519, 1184, 540, 9427, 1978, 12451, 689, 513, 5365, 269, 901, 568, 1419, 2944, 547, 4894, 6846, 610, 547, 1349, 1978, 2934, 689, 519, 5365, 269, 769, 519, 3009, 6256, 2630, 267, 649, 6542, 875, 547, 6882, 513, 5365, 1759, 593, 513, 12939, 269, 634, 2387, 10946, 318, 600, 680, 3363, 319, 1599, 3217, 538, 513, 5365, 543, 513, 12939, 267, 543, 7024, 519, 12451, 543, 7586, 6421, 540, 519, 5365, 602, 616, 1657, 519, 12939, 780, 3499, 7090, 454, 3698, 3193, 318, 600, 680, 3363, 4311, 267, 12939, 2187, 825, 29185, 825, 30352, 454, 825, 28612, 734, 454, 825, 5365, 2433, 26998, 6783, 454, 1038, 28686, 3403, 692, 825, 12939, 2433, 10581, 454, 1038, 8307, 10525, 12451, 936, 713, 12939, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 1267, 2433, 26998, 6783, 454, 1038, 28758, 593, 519, 2451, 568, 4908, 543, 6241, 593, 519, 1318, 568, 17931, 780, 825, 8173, 825, 1954, 336, 6958, 2830, 1229, 815, 5286, 27769, 3602, 18828, 269, 11274, 4311, 8807, 516, 336, 264, 3436, 12939, 994, 825, 1267, 815, 5286, 26769, 13906, 523, 622, 9230, 325, 516, 336, 6958, 2830, 1229, 267, 2612, 4311, 8807, 516, 336, 314, 325, 516, 336, 6958, 2830, 1229, 8079, 1070, 7852, 284, 272, 994, 825, 2132, 1267, 454, 7884, 763, 2387, 12639, 27769, 3602, 319, 1599, 7024, 519, 17523, 540, 519, 2609, 538, 519, 5365, 602, 616, 1657, 519, 12939, 269, 1452, 17523, 5330, 547, 519, 12451, 540, 519, 5365, 269, 634, 2387, 12639, 26769, 13906, 523, 622, 319, 1599, 568, 1287, 1031, 547, 9192, 519, 12451, 543, 7586, 6421, 883, 513, 2582, 5044, 267, 799, 568, 8120, 676, 519, 1599, 780, 1103, 3932, 267, 5365, 4393, 568, 513, 2629, 851, 540, 1082, 3156, 267, 689, 8301, 4393, 547, 3239, 4393, 269, 769, 713, 3184, 267, 649, 723, 4988, 930, 2596, 2035, 538, 5365, 4393, 267, 1519, 5365, 10386, 543, 4908, 19003, 269, 1284, 723, 849, 7152, 875, 547, 2936, 891, 2035, 1210, 17877, 543, 32287, 269, 2060, 891, 2645, 267, 596, 666, 1631, 5659, 543, 14650, 6786, 538, 5124, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 346, 12639, 269, 718, 263, 12690, 318, 13318, 1218, 10922, 1439, 4671, 14725, 322, 264, 4153, 333, 17210, 1038, 952, 4729, 912, 2018, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 476, 275, 4917, 2018, 12301, 26644, 3488, 21579, 7204, 5073, 2018, 12301, 19502, 18828, 30784, 1052, 263, 271, 267, 715, 4671, 14725, 322, 1070, 1582, 6745, 32294, 994, 2018, 12301, 19502, 4433, 600, 7204, 318, 13318, 1218, 267, 1582, 6745, 32294, 5334, 600, 9482, 267, 1412, 549, 3299, 476, 544, 325, 322, 8782, 333, 821, 3299, 12508, 1125, 284, 276, 994, 2018, 12301, 11859, 16932, 3488, 307, 1307, 1496, 338, 316, 5073, 2018, 12301, 269, 29786, 3488, 8649, 680, 3363, 5073, 2018, 12301, 11859, 3916, 9230, 271, 267, 476, 1220, 4917, 2018, 12301, 26942, 263, 12148, 994, 2018, 12301, 20481, 10797, 825, 1219, 3193, 318, 600, 680, 3363, 4311, 267, 12939, 2187, 1038, 29185, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 5365, 2433, 26998, 6783, 454, 2018, 28686, 3403, 692, 1038, 12939, 2433, 10581, 454, 2018, 8307, 10525, 12451, 936, 713, 12939, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 1267, 2433, 26998, 6783, 454, 2018, 28758, 593, 519, 2451, 568, 4908, 543, 6241, 593, 519, 1318, 568, 17931, 780, 1038, 8173, 1038, 1954, 336, 6958, 2830, 1229, 815, 5286, 27769, 3602, 18828, 269, 11274, 4311, 8807, 516, 336, 264, 3436, 12939, 994, 1038, 1267, 815, 5286, 26769, 13906, 523, 622, 9230, 325, 516, 336, 6958, 2830, 1229, 267, 2612, 4311, 8807, 516, 336, 314, 325, 516, 336, 6958, 2830, 1229, 8079, 1070, 7852, 284, 272, 994, 1038, 2132, 1267, 454, 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, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 28304, 8682, 5937, 12874, 339, 593, 519, 5682, 281, 589, 17714, 27870, 4762, 1211, 717, 6504, 532, 692, 294, 6504, 568, 1419, 9228, 607, 513, 16837, 569, 7328, 267, 8506, 8766, 2168, 11851, 542, 3379, 547, 824, 18942, 2238, 899, 13558, 267, 14912, 267, 610, 11176, 269, 1717, 267, 17075, 6799, 922, 2189, 1305, 540, 2591, 267, 1312, 2930, 543, 5626, 269, 7324, 891, 2790, 23665, 267, 1582, 1673, 12874, 339, 666, 581, 3226, 17672, 547, 2773, 543, 2949, 18399, 540, 519, 3014, 269, 901, 3184, 6663, 547, 2263, 1585, 2994, 6273, 676, 2043, 971, 607, 21001, 24229, 28137, 267, 945, 723, 4597, 539, 538, 741, 9757, 4610, 5103, 6849, 14488, 267, 7175, 1762, 17075, 619, 547, 20630, 1582, 1673, 12874, 339, 543, 2087, 741, 1983, 593, 519, 3039, 780, 296, 269, 4197, 8682, 5937, 12874, 339, 692, 2414, 3927, 10994, 1582, 1673, 12874, 339, 267, 621, 781, 1898, 1101, 547, 1174, 1018, 621, 14122, 269, 8682, 1673, 12874, 339, 4016, 547, 10770, 4606, 540, 10462, 267, 24835, 1464, 267, 543, 1202, 340, 11797, 3823, 835, 781, 5759, 269, 1452, 2942, 4555, 666, 8451, 1813, 547, 1896, 2188, 267, 1519, 2250, 2833, 267, 6848, 6788, 267, 6476, 609, 1866, 267, 543, 4835, 2604, 269, 1306, 11174, 17075, 619, 7832, 593, 741, 3460, 2509, 17117, 540, 519, 7328, 267, 789, 949, 7237, 3871, 602, 9594, 1582, 1673, 12874, 339, 267, 12042, 1359, 741, 3356, 543, 7303, 873, 689, 8757, 741, 2407, 1761, 780, 2862, 269, 17291, 17832, 7970, 540, 8682, 5937, 12874, 339, 538, 717, 6504, 692, 2690, 17075, 619, 267, 1582, 1673, 12874, 339, 666, 8915, 3294, 1282, 2259, 7886, 610, 8013, 4663, 23788, 950, 12394, 4101, 15833, 610, 4730, 896, 1164, 30367, 269, 2368, 1455, 12153, 540, 1582, 1673, 12874, 339, 4810, 676, 21738, 17075, 619, 1331, 1384, 265, 21824, 540, 5821, 281, 1937, 11538, 827, 1818, 9073, 610, 14922, 532, 13951, 543, 1866, 666, 1267, 538, 11688, 2787, 1247, 2921, 2565, 15833, 563, 265, 20134, 1582, 2389, 1779, 281, 4790, 14688, 10874, 908, 13951, 1310, 1169, 14406, 8929, 8309, 547, 1970, 6015, 2157, 543, 2799, 4160, 563, 265, 18948, 609, 9905, 281, 25732, 835, 781, 2702, 1996, 811, 9952, 5716, 666, 1291, 547, 25339, 618, 543, 4389, 8404, 563, 265, 4400, 6788, 281, 17553, 791, 1601, 4601, 1164, 4441, 585, 13951, 5932, 11991, 2566, 543, 2604, 267, 4611, 538, 1016, 9953, 2711, 2773, 780, 7656, 269, 11150, 547, 3683, 2492, 8682, 5937, 12874, 339, 593, 519, 717, 6504, 6092, 692, 19352, 532, 6667, 689, 3811, 5515, 971, 607, 21001, 24229, 28137, 267, 1934, 616, 930, 4052, 4485, 585, 21738, 17075, 619, 32626, 1582, 1673, 12874, 339, 593, 519, 3039, 1384, 272, 269, 22737, 2208, 14820, 281, 22685, 1154, 513, 2208, 14820, 3322, 9301, 602, 13007, 543, 4987, 666, 581, 2919, 998, 4674, 267, 18094, 267, 543, 1565, 269, 28133, 17075, 619, 1058, 1445, 593, 5355, 741, 1983 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4259, 2417, 883, 1010, 3460, 543, 519, 1915, 5314, 540, 918, 4669, 345, 269, 634, 26704, 1935, 3705, 1206, 3057, 869, 338, 3460, 607, 513, 9258, 15832, 538, 799, 3057, 869, 568, 593, 513, 1391, 585, 519, 5168, 610, 538, 824, 1913, 918, 4669, 345, 269, 1230, 2784, 3096, 538, 11437, 540, 1769, 543, 4158, 2592, 543, 6698, 547, 1711, 713, 12705, 563, 10702, 267, 519, 1079, 17801, 20802, 28209, 538, 7811, 10080, 267, 6788, 540, 2361, 960, 267, 12886, 267, 543, 11008, 1436, 540, 519, 1004, 3594, 6594, 269, 1411, 949, 849, 1265, 1452, 6054, 6435, 995, 269, 12339, 21442, 7869, 538, 2295, 540, 14730, 1145, 4828, 269, 4911, 1564, 543, 3933, 9094, 538, 267, 2295, 540, 267, 14334, 267, 795, 24944, 1230, 571, 1091, 8795, 26841, 540, 2021, 538, 1010, 3209, 269, 9839, 540, 267, 14334, 2488, 15594, 5339, 3069, 609, 15792, 4316, 547, 2263, 519, 936, 2391, 6848, 9598, 566, 540, 530, 558, 839, 4008, 5107, 543, 6788, 538, 519, 3735, 13524, 543, 2038, 14206, 2540, 269, 634, 5354, 540, 15594, 28466, 3409, 602, 1230, 2784, 10419, 340, 919, 30013, 16809, 267, 2943, 972, 616, 513, 1906, 602, 8044, 519, 3209, 568, 575, 25311, 21522, 269, 9995, 571, 575, 559, 6975, 543, 19626, 717, 889, 541, 3409, 1230, 571, 1091, 563, 5353, 1783, 540, 267, 9194, 547, 519, 267, 5087, 676, 267, 512, 599, 20623, 6428, 8811, 910, 1863, 552, 9248, 8281, 454, 291, 691, 1753, 19584, 676, 10923, 9351, 7532, 4000, 267, 713, 568, 513, 17609, 540, 1169, 4199, 1644, 547, 7532, 4000, 269, 2859, 2489, 281, 4000, 834, 3674, 6599, 333, 2762, 2009, 286, 3979, 1118, 31660, 7493, 281, 5565, 17801, 20802, 1765, 18485, 4775, 267, 3043, 267, 543, 3345, 1977, 1765, 13231, 1221, 834, 1492, 1482, 257, 1004, 538, 5101, 4000, 267, 693, 3592, 519, 1482, 942, 267, 543, 3357, 909, 609, 1360, 1114, 2164, 269, 901, 16613, 12136, 2488, 606, 4316, 547, 2263, 2009, 2360, 540, 1114, 24319, 593, 17801, 4919, 2164, 267, 1141, 3355, 30422, 540, 2042, 941, 711, 25921, 4744, 25630, 269, 18378, 8390, 1851, 519, 1004, 6594, 666, 2491, 1152, 851, 540, 519, 27754, 538, 2164, 282, 1114, 2361, 3871, 3100, 547, 723, 3366, 519, 562, 344, 328, 3873, 547, 1459, 1114, 2623, 547, 519, 1079, 24319, 269, 898, 568, 6700, 602, 1454, 540, 1018, 25795, 600, 6215, 831, 6257, 269, 3979, 31660, 281, 1323, 19848, 1670, 23874, 630, 3192, 277, 264, 607, 834, 301, 344, 328, 3873, 2528, 257, 949, 581, 606, 4977, 2272, 540, 562, 344, 328, 3873, 17181, 776, 18902, 951, 269, 0, 3080, 540, 519, 2609, 540, 3047, 781, 13350, 3349, 269, 898, 814, 10570, 1297, 476, 7918, 267, 543, 568, 513, 15626, 3154, 269, 898, 814, 519, 3090, 270, 629, 12934, 2747, 2473, 324, 269, 769, 3339, 2175, 267, 621, 568, 606, 15865, 3154, 267, 855, 952, 5201, 568, 5293, 998, 621, 267, 621, 786, 16657, 1769, 4544, 563, 8450, 849, 281, 5903, 540, 2609, 454, 347, 1911, 343, 1911, 29210, 1475, 1607, 2376, 568, 851, 540, 5741, 15689, 267, 513, 2353, 20002, 1788, 602, 6663, 547, 2328, 3102, 4930, 593, 1142, 3693, 269, 347 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 2040, 3287, 11971, 2187, 825, 2040, 815, 1535, 1341, 586, 454, 825, 952, 2040, 538, 2039, 263, 1428, 267, 736, 2187, 1038, 2132, 476, 736, 454, 825, 3116, 912, 1038, 2132, 2040, 7531, 2745, 4433, 636, 263, 276, 267, 1321, 4917, 2745, 4433, 636, 263, 275, 267, 1704, 11723, 0, 11133, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 10233, 815, 18358, 1042, 3299, 1412, 19009, 3299, 1412, 18872, 262, 6540, 1721, 630, 320, 14720, 264, 538, 23407, 16325, 267, 10233, 2187, 825, 1820, 5416, 14720, 264, 0, 258, 272, 269, 1037, 609, 8918, 1747, 454, 2745, 263, 1037, 263, 279, 1315, 476, 274, 267, 476, 273, 11723, 258, 273, 269, 28776, 6498, 454, 2745, 263, 279, 12262, 476, 274, 2020, 258, 274, 269, 28294, 1637, 1297, 912, 12163, 266, 23751, 268, 23751, 265, 23751, 270, 284, 692, 1721, 1383, 912, 12163, 16557, 815, 476, 271, 454, 2745, 2891, 16557, 815, 14307, 16557, 2020, 16557, 6834, 476, 272, 454, 2745, 2891, 16557, 815, 14307, 6060, 2020, 18851, 325, 268, 11415, 12163, 16557, 815, 476, 273, 454, 19417, 815, 476, 273, 269, 272, 454, 529, 310, 15619, 815, 6936, 692, 2745, 6600, 257, 7312, 6060, 568, 2715, 16557, 9574, 707, 4463, 568, 2715, 19417, 9574, 596, 616, 10888, 568, 2715, 529, 310, 15619, 348, 5602, 0, 18851, 273, 264, 31626, 1690, 323, 345, 2040, 324, 562, 6132, 345, 321, 2022, 659, 328, 476, 272, 1341, 476, 19442, 1341, 476, 18357, 1341, 476, 29900, 275, 1341, 3267, 563, 291, 5055, 562, 815, 476, 275, 2040, 320, 815, 476, 272, 1341, 476, 2420, 1341, 476, 18357, 1341, 476, 29900, 275, 454, 323, 5055, 562, 815, 476, 277, 2040, 320, 815, 476, 272, 1341, 476, 2420, 1341, 476, 18357, 1341, 476, 29900, 275, 1341, 476, 27898, 4649, 1341, 476, 26116, 26116, 20701, 3698, 2040, 3799, 2187, 825, 2132, 630, 335, 578, 263, 1015, 267, 562, 1341, 476, 272, 264, 2608, 630, 280, 2608, 562, 910, 476, 272, 264, 1341, 476, 1015, 264, 1315, 4073, 263, 280, 267, 476, 274, 264, 910, 562, 2608, 630, 333, 1341, 476, 272, 264, 1315, 476, 1240, 692, 2745, 4433, 636, 263, 274, 11723, 258, 1990, 320, 533, 558, 10087, 4620, 2993, 454, 3698, 2040, 273, 263, 997, 345, 9346, 2187, 825, 2040, 320, 6889, 27029, 825, 585, 1775, 538, 2039, 263, 272, 267, 997, 345, 9346, 266, 272, 17107, 1038, 5430, 14352, 1598, 9217, 12684, 328, 2020, 1038, 2040, 320, 6834, 5430, 1341, 834, 1341, 27029, 825, 1820, 4433, 6373, 2020, 8999, 273, 263, 274, 2020, 258, 561, 889, 1990, 320, 533, 558, 10087, 1592, 344, 454, 4289, 320, 17342, 2639, 3698, 2040, 274, 263, 997, 345, 9346, 2187, 825, 2040, 320, 284, 271, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 997, 345, 9346, 266, 272, 17107, 1038, 5430, 14352, 1598, 9217, 12684, 328, 994, 1038, 30458, 6910, 17301, 6262, 657, 11723, 8999, 274, 263, 274, 994, 2745, 17338, 320, 5148, 5727, 4289, 320, 530, 2022, 659, 328, 5569, 320, 12163, 338, 6373, 284, 271, 454, 1721, 1775, 538, 30458, 912, 825, 2040, 320, 284, 338, 6373, 266, 328, 454, 2745, 4433, 6373, 2020, 692, 7531, 0, 258, 272, 269, 1840, 454, 2745, 263, 274, 1341, 476, 276, 994, 258, 273, 269, 12408, 454, 2745, 263, 278, 910, 476, 274, 994, 258, 274, 269, 8691, 454, 2745, 263, 274, 2608, 476, 273, 994, 258, 275, 269, 6498, 454, 2745, 263, 277, 1315, 476, 273, 994, 258, 276, 269, 1379, 454, 2745, 263, 274, 2878, 476, 273, 2020, 18851, 303, 4932, 291, 3008, 910, 9977, 12330, 5890, 7859, 18527, 10406, 18827, 25513, 454, 4590, 12533, 265, 1315, 454, 266, 910, 29185, 258, 1721, 1383, 454, 2745, 263, 274, 2608, 476, 274, 1341, 476, 274, 1315, 476, 274, 910, 476, 274, 994, 2745, 263, 274, 2608, 630, 274, 1341, 476, 274, 264, 1315, 476, 274, 910, 476, 274, 264, 0, 320, 476, 815, 3403, 2891, 303, 617, 1690, 6132, 345, 2041, 513, 281, 19515, 333, 272, 815, 703, 2891, 260, 338, 257, 260, 513, 994, 333, 273, 815, 703, 2891, 260, 338, 260, 338, 257, 4939, 630, 320, 28083, 4917, 333, 274, 815, 703, 2891, 260, 338, 260, 338, 260, 338, 257, 4939, 630, 320, 28083, 28083, 4917, 2745, 3799, 272, 266, 333, 273, 266, 333, 274, 994, 2745, 3799, 273, 266, 276, 994, 0, 3698, 11718, 10031, 825, 30458, 815, 11713, 825, 585, 1775, 538, 2039, 263, 272, 267, 2641, 2187, 1038, 30458, 6910, 9217, 1262, 273, 994, 825, 1820, 17338, 320, 11468, 276, 7481, 825, 1820, 17338, 320, 15631, 276, 281, 20285, 10090, 1807, 3890, 0, 339, 629, 997, 320, 815, 1496, 279, 267, 273, 267, 272, 267, 280, 267, 276, 2639, 2745, 6025, 629, 997, 320, 2020, 3698, 5542, 31374, 6025, 629, 2187, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 6025, 629, 264, 910, 476, 272, 10778, 1038, 1295, 19340, 815, 1775, 454, 1038, 795, 815, 1775, 1341, 476, 272, 454, 1038, 1247, 795, 2999, 7003, 6025, 629, 2187, 2018, 952, 9184, 314, 2381, 19340, 316, 3436, 9184, 14728, 14158, 3546, 1295, 19340, 815, 795, 454, 2018, 795, 6834, 272, 454, 1038, 9184, 314, 2381, 19340, 3910, 339, 629, 5157, 316, 815, 9184, 5157, 3910, 339, 629, 314, 2381, 19340, 2639, 1038, 1775, 6834, 476, 272, 454, 1038, 1820, 6025, 629, 2020, 572, 3005, 31374, 6025, 629, 997, 320, 994, 0, 3698, 568, 7272, 6055, 318, 17463, 5416, 267, 536, 2187, 825, 1948, 966, 582, 516, 3009, 9079, 328, 454, 825, 2132, 8771, 952, 513, 13843, 476, 271, 543, 536, 13843, 476, 271, 610, 513, 10922, 476, 271, 543, 536, 10922, 476, 271, 3116, 6936, 692, 3698, 2196, 10031, 825, 7682, 568, 7272, 6055, 318, 17463, 263, 277, 267, 476, 278, 264, 2652, 8771, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 263, 272, 267, 476, 271, 264, 2652, 8771, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 8987, 272, 267, 476, 276, 264, 2652, 6936, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 263, 272, 267, 910, 276, 264, 2652, 6936, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 8987, 272, 267, 910, 276, 264, 2652, 8771, 454, 0, 582, 571, 318, 12534, 815, 703, 263, 3863, 17750, 2891, 684, 1003, 3266, 27363, 12534, 815, 3403, 2891, 18404, 324, 796, 1003, 3266, 281, 19515, 2745, 15254, 454, 2745, 522, 10177, 318, 12534, 1341, 476, 1911 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 1957, 649, 6069, 513, 1007, 5690, 538, 942, 15222, 1436, 799, 568, 18726, 23990, 1904, 13705, 532, 5690, 630, 16598, 3036, 1040, 634, 1966, 814, 1044, 15044, 909, 547, 513, 1390, 6708, 1210, 519, 2518, 9219, 1523, 538, 799, 1142, 2199, 9219, 4991, 15222, 1242, 609, 519, 2518, 9219, 865, 602, 519, 3742, 543, 3207, 7154, 540, 9136, 1281, 711, 1860, 519, 6771, 855, 621, 27499, 513, 2603, 540, 1648, 543, 942, 1547, 514, 938, 960, 2073, 933, 723, 6836, 547, 4194, 713, 1966, 1210, 4719, 5690, 607, 952, 519, 1699, 6843, 4991, 513, 3207, 7154, 540, 519, 14232, 7154, 2073, 527, 2824, 1776, 6843, 593, 519, 4493, 540, 942, 4616, 1547, 10472, 1880, 1935, 6971, 519, 3787, 6959, 2557, 543, 519, 1439, 547, 1439, 8488, 267, 1379, 13345, 543, 824, 6724, 849, 563, 8448, 26257, 15080, 454, 8310, 9168, 281, 476, 1001, 274, 268, 1015, 268, 1240, 476, 1428, 281, 1556, 281, 1839, 0, 763, 700, 306, 276, 288, 689, 631, 268, 10976, 729, 513, 20585, 900, 7867, 11896, 2966, 585, 8301, 29208, 269, 634, 700, 306, 3126, 941, 1454, 1031, 676, 519, 5403, 8433, 585, 15146, 4735, 831, 7586, 13294, 269, 6423, 303, 10976, 307, 1839, 563, 763, 700, 306, 276, 288, 729, 5189, 538, 476, 4572, 275, 543, 814, 513, 2539, 25317, 982, 519, 3312, 700, 306, 276, 267, 543, 865, 1223, 3132, 811, 3977, 1379, 269, 13536, 8747, 540, 519, 700, 306, 276, 288, 6410, 547, 513, 25234, 601, 924, 3490, 609, 519, 13021, 10703, 4705, 1369, 563, 1103, 519, 4571, 476, 4572, 271, 338, 519, 2165, 1412, 323, 1638, 900, 7867, 262, 729, 1419, 1031, 547, 3382, 513, 3099, 540, 2504, 3157, 267, 782, 540, 799, 3812, 1970, 2837, 267, 8754, 20585, 267, 12998, 7252, 563, 2304, 3592, 3501, 31960, 1826, 835, 18917, 16826, 269, 901, 7389, 519, 11896, 547, 1063, 5437, 476, 4572, 273, 543, 5181, 476, 4572, 275, 563, 763, 3057, 935, 328, 14642, 1090, 4406, 557, 20446, 31960, 883, 519, 824, 2427, 540, 519, 23508, 563, 763, 19695, 3490, 1698, 609, 519, 589, 585, 606, 1712, 16826, 539, 538, 621, 269, 634, 27129, 8082, 5614, 568, 2938, 593, 519, 1318, 563, 19284, 519, 700, 306, 276, 519, 7470, 568, 8032, 547, 1780, 1166, 2660, 2066, 519, 27129, 269, 19759, 569, 519, 27129, 30141, 966, 814, 7745, 563, 763, 32521, 1439, 609, 1776, 2070, 540, 519, 8032, 7470, 23090, 563, 763, 17891, 23508, 568, 476, 6321, 6515, 538, 8006, 543, 267, 27195, 519, 645, 275, 3490, 20382, 267, 568, 476, 13040, 6515, 7381, 563, 27066, 281, 4578, 1606, 18694, 1299, 476, 1911, 276, 269, 7392, 700, 306, 276, 288, 729, 1101, 5189, 538, 476, 4572, 275, 269, 0, 1103, 519, 2038, 22733, 2540, 717, 3554, 321, 3430, 16695, 966, 4815, 10353, 713, 968, 24030, 10564, 892, 3069, 267, 607, 21564, 519, 9954, 547, 513, 27556, 267, 20822, 267, 12563, 3271, 545, 1184, 602, 1185, 2097, 547, 581, 1572, 968, 295, 9593, 892, 585, 519, 19160, 540, 13418, 269, 968, 763, 5259, 9082, 941, 2933, 25264, 2223, 966, 4815, 5206, 538, 5487, 2233, 27833, 715, 340, 13960, 269, 13536, 602, 2540, 267, 519, 2296, 2006, 7917, 8381, 26871, 1540, 547, 519, 2856, 540, 25264, 779, 3312, 21184, 855, 267, 15663, 602, 1010, 9954, 4330, 1010, 1158, 609, 1390, 9355, 2943, 2760, 2899, 5018, 1603, 610, 2542, 267, 6069, 602, 519, 16380, 941, 711, 2943, 513, 2148, 622, 1004, 693, 519, 942, 602, 646, 5030, 30867, 1898, 3693, 540, 519, 5098, 3474, 787, 1131, 2663, 1020, 563, 8489, 519, 3206, 540, 891, 2038, 13915, 729, 7361, 23019, 267, 3474, 787, 267, 4098, 609, 1010, 476, 4572, 274, 4487, 779, 5098, 693, 519, 2160, 540, 4993, 693, 20588, 267, 4294, 519, 11826, 12170, 2409, 540, 15599, 1108, 269, 769, 602, 5098, 267, 646, 5059, 593, 519, 4542, 545, 13423, 515, 1206, 538, 519, 25264, 545, 9954, 267, 930, 540, 799, 2192, 690, 1227, 4766, 7802, 607, 968, 3333, 1456, 892, 1256, 950, 621, 779, 1044, 3037, 539, 610, 9635, 607, 968, 1873, 3424, 892, 950, 789, 4076, 1044, 6537, 909, 593, 3819, 2244, 585, 1296, 269, 6270, 2453, 267, 3474, 787, 7682, 539, 267, 1705, 711, 5614, 689, 513, 10564, 779, 2247, 855, 689, 513, 968, 24055, 7499, 2245, 892, 602, 1185, 7550, 873, 585, 519, 19160, 540, 741, 1558, 3740, 10626, 269, 630, 763, 2856, 540, 513, 968, 15869, 892, 607, 2278, 814, 1454, 538, 1455, 609, 966, 4815, 779, 3206, 267, 1498, 621, 779, 711, 2312, 602, 3474, 787, 1185, 2479, 11402, 5487, 2233, 27833, 715, 340, 13960, 282, 8197, 1010, 2038, 12591, 3100, 21933, 643, 1190, 547, 519, 1082, 5717, 540, 968, 1492, 25264, 545, 7726, 892, 602, 28263, 1010, 1378, 8094, 2252, 23723, 320, 568, 1419, 1572, 968, 303, 23775, 2223, 646, 5206, 267, 713, 568, 968, 20357, 972, 729, 2230, 799, 1185, 547, 581, 4904, 538, 865, 602, 23723, 2967, 17845, 1496, 2108, 4263, 1156, 320, 892, 538, 25264, 545, 5259, 316, 1223, 2887, 883, 922, 2067, 1747, 543, 519, 15279, 600, 2678, 2095, 12347, 593, 1848, 769, 1010, 476, 4572, 279, 25719, 12031, 693, 519, 29813, 2548, 928, 267, 12261, 689, 519, 3312, 3943, 607, 968, 763, 12465, 9210, 527, 2867, 538, 25264, 2223, 646, 17048, 539, 19421, 540, 1106, 27909, 543, 13006, 741, 7158, 538, 519, 15279, 600, 2678, 1899, 267, 11744, 602, 1142, 835, 1500, 513, 1880, 9295, 547, 1818, 519, 1899, 960, 269, 634, 10564, 1705, 711, 1289, 9635, 968, 1873, 3424, 892, 547, 1289, 3007, 547, 741, 3432, 282, 621, 729, 3274, 519, 2236, 2084, 1031, 676, 519, 5711, 2245, 950, 513, 1978, 1558, 3740, 5311, 729, 1572, 585, 563, 310, 31581, 910, 7600, 545, 910, 7313, 564, 910, 15503, 0, 272, 269, 1703, 616, 936, 476, 1321, 267, 1822, 1884, 2249, 5001, 630, 2004, 538, 519, 5177, 994, 296, 4076, 2938, 10760, 17605, 1354, 855, 2760, 5795, 621, 1454, 2219, 607, 547, 1946, 930, 723, 12209, 543, 930, 1810, 1406, 2483, 296, 2141, 16823, 621, 729, 930, 2186, 540, 968, 24038, 909, 892, 2964, 545, 267, 899, 538, 2780, 3756, 1141, 596, 12260, 10760, 950, 596, 3914, 513, 1978, 1377, 563, 763, 10760, 17605, 593, 519, 824, 1688, 616, 513, 7848, 540, 5256, 19025, 543, 519, 20424, 30842, 2336, 4322, 30842, 786, 3132, 909, 547, 476, 1911, 271, 5798, 829, 1554, 585, 1007, 3935, 903, 2483, 276, 269, 634, 1884, 568, 835, 540, 519, 1158, 779, 16999, 7068, 538, 6935, 547, 922, 2450, 454, 1015, 269, 634, 4102, 1884, 779, 9566, 2479, 1336, 729, 936, 476, 274, 267, 10384, 5195, 2647, 2336, 275, 269, 4165, 338, 616, 519, 13074, 2713, 7786, 2336, 280, 269, 4165, 338, 1810, 1406, 723, 10772, 267, 543, 930, 540, 873, 1810, 1406, 723, 4064, 2336, 279, 269, 4165, 338, 616, 1514, 7786, 799, 2661, 538, 10125, 454, 1862, 8117, 789, 1152, 979, 856, 547, 9742, 2899, 513, 1032, 950, 519, 4365, 568, 1175, 1318, 563, 12901, 338, 596, 7363, 1294, 4881, 1472, 707, 4677, 616, 782, 8951, 256, 2336, 4322, 13617, 1652, 4775, 17605, 798, 782, 519, 960, 540, 519, 12733, 1862, 782, 540, 621, 2336, 3719, 789, 616, 25062, 543, 666, 1406, 16196, 563, 277, 269, 4165, 338, 3180, 519, 2594, 585, 519, 16595, 3350, 538, 519, 3662, 10806, 454, 3383, 1985, 942, 596, 1616, 547, 1205, 519, 17079, 10936, 856, 547, 979, 547, 4884, 593, 891, 6263, 13617, 539, 12961, 267, 1175, 3314, 789, 1152, 2097, 856, 547, 1376, 513, 1920, 2483, 1862, 663, 621, 1152, 4523, 2899, 513, 1032, 256, 2336, 3383, 6148, 1175, 1577, 873, 581, 563, 273, 269, 634, 16886, 1884, 568, 1767, 547, 723, 519, 1034, 11213, 29097, 538, 519, 1158, 2336, 9213, 594, 8118, 909, 519, 4677, 8774, 547, 2007, 856, 519, 2462, 8934, 565, 630, 553, 621, 729, 14495, 3905, 264, 1152, 547, 1265, 606, 1884, 12733, 896, 519, 2025, 11308, 7450, 563, 11917, 16227, 713, 2366, 782, 519, 2370, 1814, 1562, 2790, 256, 594, 729, 1175, 827, 547, 2673, 519, 7450, 543, 4734, 873, 1932, 621, 950, 594, 8068, 930, 1185, 12209, 2336, 274, 269, 9605, 17605, 2014, 936, 11278, 274, 5479, 4502, 540, 3441, 513, 1032, 2336, 278, 269, 4165, 338, 666, 581, 1336, 593, 1169, 2582, 11782, 4849, 19778, 454, 18744, 950, 519, 4365, 568, 1175, 1318, 786, 782, 891, 10760, 5256, 543, 15596, 17605, 8038, 856, 679, 11792, 572, 547, 1376, 1007, 10125, 269, 0, 300, 1278, 540, 2107, 874, 753, 454, 529, 519, 8903, 3020, 1650, 540, 7705, 267, 606, 9721, 12677, 4807, 945, 1219, 1221, 14461, 1514, 3889, 547, 1106, 513, 1920, 609, 513, 3109, 812, 538, 11882, 538, 476, 6245, 280, 269, 7705, 543, 1200, 9393, 1185, 1614, 1453, 1927, 267, 855, 1310, 1010, 2669, 538, 476, 4489, 273, 267, 7705, 12357, 569, 1147, 16781, 1229, 1200, 1453, 547, 606, 29152, 720, 269, 2290, 4627, 1296, 2663, 267, 1200, 1390, 3766, 8681, 8250, 267, 667, 539, 6319, 9966, 874, 1845, 31661, 518, 267, 4682, 538, 3406, 540, 519, 4128, 3297, 713, 12357, 10205, 618, 267, 15691, 538, 519, 1184, 547, 8207, 3344, 540, 1200, 1378, 7526, 609, 1977, 7292, 17478, 543, 4655, 563, 1607, 1433, 568, 519, 4829, 540, 31661, 518, 781, 1391, 269, 769, 621, 267, 1352, 7140, 547, 17728, 267, 12092, 267, 3140, 1382, 267, 543, 11147, 547, 796, 24160, 519, 4241, 1686, 540, 513, 3818, 24055, 2146, 538, 519, 11882, 5211, 9503, 1282, 519, 2038, 14206, 2540, 269, 31661, 518, 6645, 713, 1650, 689, 2789, 642, 656, 720, 2798, 267, 4749, 15175, 1851, 2798, 540, 2070, 547, 4020, 513, 27929, 543, 3102, 5133, 540, 519, 2250, 954, 12827, 609, 1350, 31663, 525, 540, 519, 1459, 269, 634, 1267, 568, 513, 20807, 532, 267, 22161, 8826, 9066, 593, 5198, 543, 1920, 13218, 269, 3487, 2123, 3460, 267, 851, 2686, 12092, 267, 12624, 540, 2107, 874, 753, 454, 1410, 26952, 513, 2370, 8153, 4062, 540, 713, 2197, 781, 2250, 281, 954, 24055, 3885, 602, 15068, 543, 7173, 9229, 5103, 13343, 18844, 4031, 267, 1519, 1346, 10238, 1746, 6404, 268, 15869, 7365, 269, 769, 11430, 3740, 267, 859, 25607, 18340, 267, 713, 9058, 1433, 6038, 3762, 721, 29014, 827, 519, 1158, 607, 938, 1453, 1522, 1294, 621, 269, 0, 19931, 7693, 4027, 5956, 609, 519, 1697, 6284, 540, 989, 686, 874, 1137, 269, 3367, 519, 11673, 543, 1353, 519, 8666, 19922, 540, 18290, 1034, 1455, 538, 3484, 24914, 267, 543, 1544, 519, 1655, 4027, 585, 2659, 7693, 2336, 763, 2030, 814, 3875, 1455, 4408, 269, 634, 2361, 12622, 15634, 666, 581, 1572, 519, 14758, 12622, 15634, 267, 3864, 12622, 15634, 267, 609, 344, 2842, 610, 519, 6640, 18710, 269, 898, 568, 513, 14463, 267, 21064, 2249, 269, 898, 814, 606, 3573, 3597, 1062, 267, 543, 713, 267, 1851, 1866, 267, 568, 519, 23801, 3815, 10834, 602, 621, 568, 513, 18290, 602, 568, 2352, 547, 9004, 269, 769, 519, 4610, 621, 19674, 1034, 4122, 1851, 2371, 602, 616, 521, 1144, 610, 12630, 538, 3376, 9343, 269, 898, 568, 1447, 1455, 1851, 24799, 610, 30485, 269, 589, 2783, 12797, 532, 519, 1646, 540, 519, 2361, 12622, 15634, 568, 519, 5187, 2305, 540, 8105, 269, 898, 568, 849, 2938, 676, 9897, 267, 538, 2250, 999, 543, 538, 2887, 578, 2127, 563, 1607, 2030, 18162, 2059, 519, 2666, 269, 901, 2306, 519, 2361, 12622, 15634, 606, 10546, 585, 7693, 267, 12042, 1359, 922, 2953, 1646, 269, 898, 814, 513, 12402, 547, 12622, 824, 2371, 267, 16550, 873, 547, 10709, 547, 519, 2666, 269, 898, 568, 513, 1360, 8013, 18290, 267, 30286, 513, 2603, 540, 3463, 547, 7693, 269, 1975, 2001, 532, 676, 10786, 15969, 14998, 2500, 17594, 540, 519, 23588, 267, 2705, 267, 519, 946, 540, 2178, 2472, 568, 2556, 267, 607, 789, 991, 547, 23309, 2620, 883, 519, 678, 714, 2345, 540, 519, 2030, 563, 2252, 1411, 1131, 899, 547, 4309, 519, 23906, 4554, 3377, 827, 938, 2709, 267, 1533, 2659, 552, 17733, 2232, 543, 1129, 909, 585, 519, 20394, 269, 2704, 2819, 10805, 585, 519, 20394, 0, 296, 1097, 726, 6979, 5887, 532, 689, 661, 1338, 19921, 639, 2721, 6654, 16198, 547, 971, 2934, 2938, 538, 635, 1115, 269, 901, 1957, 14592, 513, 5812, 4720, 689, 635, 8767, 2534, 547, 3677, 476, 5390, 4703, 538, 519, 9018, 3859, 1062, 269, 634, 2101, 3604, 616, 1813, 547, 519, 9836, 2360, 540, 2799, 8904, 267, 1519, 811, 20085, 4396, 4703, 630, 1345, 3766, 571, 6143, 1070 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1248, 266, 257, 4465, 269, 2878, 265, 14744, 2018, 2736, 1477, 1038, 8640, 4604, 9131, 272, 11172, 2525, 4580, 9131, 276, 11172, 2525, 4580, 9131, 280, 11172, 11203, 1412, 1412, 6769, 2018, 1820, 19629, 333, 10794, 936, 1422, 333, 14744, 2018, 1820, 2891, 1262, 834, 266, 339, 1248, 266, 257, 4465, 269, 2878, 265, 14744, 2018, 2736, 1477, 17264, 1477, 1038, 1948, 4532, 848, 9444, 2473, 610, 744, 1205, 4465, 1477, 1038, 952, 1293, 2525, 280, 6769, 2018, 1820, 2891, 29228, 936, 8627, 1422, 333, 14744, 2018, 1820, 2891, 763, 3014, 568, 8571, 8627, 14744, 2018, 2736, 1477, 17264, 1477, 1038, 1948, 577, 4474, 519, 6345, 1477, 1038, 952, 2490, 2652, 1412, 302, 262, 6769, 2018, 2490, 8782, 311, 262, 1477, 1038, 3116, 6769, 2018, 2490, 8782, 302, 262, 1477, 18524, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 337, 15010, 630, 383, 362, 268, 273, 330, 392, 480, 264, 4940, 630, 383, 362, 266, 17487, 369, 10275, 392, 480, 264, 815, 271, 2560, 630, 272, 2020, 337, 15010, 28812, 519, 2990, 6152, 540, 1022, 1448, 623, 3287, 11971, 267, 345, 264, 538, 519, 7077, 780, 11997, 1109, 337, 15010, 815, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 692, 11997, 3830, 630, 272, 264, 3587, 692, 27007, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 9984, 263, 383, 362, 268, 273, 330, 392, 480, 264, 4940, 630, 383, 362, 266, 17487, 369, 10275, 392, 480, 264, 815, 271, 692, 27784, 27883, 343, 268, 272, 264, 3331, 362, 1341, 586, 384, 369, 266, 630, 345, 266, 273, 264, 737, 392, 480, 4940, 630, 383, 362, 266, 17487, 369, 10275, 392, 480, 6661, 271, 692, 27784, 263, 343, 268, 272, 264, 1341, 344, 24179, 345, 266, 273, 264, 815, 271, 692, 27784, 343, 20742, 22271, 268, 274, 284, 271, 692, 27784, 343, 20742, 22271, 284, 274, 780, 1607, 568, 519, 31951, 3830, 540, 519, 2838, 7077, 780, 5416, 264, 1109, 634, 2990, 6152, 540, 519, 1448, 630, 272, 267, 476, 275, 267, 476, 277, 264, 568, 513, 15010, 284, 3331, 362, 266, 275, 384, 369, 266, 277, 330, 392, 480, 780, 763, 3339, 6152, 715, 15010, 1109, 704, 12993, 547, 519, 7077, 568, 715, 15010, 815, 3331, 362, 268, 273, 384, 369, 266, 330, 392, 480, 692, 763, 6152, 3830, 540, 519, 7077, 568, 2016, 676, 267, 630, 337, 15010, 910, 513, 15010, 1040, 715, 15010, 815, 271, 692, 27784, 314, 337, 15010, 268, 630, 383, 362, 266, 275, 384, 369, 266, 277, 330, 392, 480, 264, 4940, 630, 383, 362, 268, 476, 273, 384, 369, 1341, 330, 392, 480, 264, 815, 271, 2560, 630, 272, 2020, 337, 15010, 28812, 519, 2990, 6152, 540, 1022, 1448, 623, 3287, 11971, 267, 345, 264, 538, 519, 7077, 780, 11997, 1109, 337, 15010, 815, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 692, 11997, 3830, 630, 272, 264, 3587, 692, 27007, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 9984, 263, 383, 362, 266, 275, 384, 369, 266, 277, 330, 392, 480, 264, 4940, 630, 383, 362, 268, 476, 273, 384, 369, 1341, 330, 392, 480, 264, 815, 271, 692, 27784, 27883, 343, 268, 272, 264, 383, 362, 1341, 630, 344, 268, 275, 264, 17487, 369, 266, 630, 345, 268, 277, 264, 330, 392, 480, 4940, 263, 383, 362, 268, 476, 273, 17487, 369, 266, 330, 392, 480, 6661, 271, 692, 27784, 263, 343, 268, 272, 264, 910, 273, 12169, 268, 275, 264, 1341, 630, 345, 268, 277, 264, 815, 271, 692, 27784, 343, 268, 273, 344, 266, 345, 266, 272, 284, 271, 780, 1607, 568, 519, 31951, 3830, 540, 519, 7077, 780, 269, 0, 10831, 543, 15051, 538, 12476, 14210, 13760, 519, 1747, 1871, 1062, 269, 476, 276, 12991, 6630, 269, 276, 281, 11512, 3270, 538, 519, 1297, 540, 21325, 540, 519, 1587, 950, 14921, 513, 1297, 676, 7060, 540, 476, 1015, 267, 543, 2491, 3270, 538, 519, 13307, 540, 519, 8918, 1448, 950, 513, 8918, 568, 16611, 610, 5258, 676, 513, 1379, 540, 476, 1015, 269, 2422, 2898, 5991, 3784, 23055, 547, 20301, 7060, 540, 476, 1015, 269, 5890, 7859, 543, 7060, 540, 476, 1015, 25092, 676, 7060, 540, 4557, 19147, 676, 7060, 540, 4557, 25092, 543, 7941, 676, 7060, 540, 4557, 476, 276, 12991, 6630, 269, 276, 281, 11512, 3270, 538, 519, 1297, 540, 21325, 540, 519, 1587, 950, 14921, 513, 1297, 676, 7060, 540, 476, 1015, 267, 543, 2491, 3270, 538, 519, 13307, 540, 519, 8918, 1448, 950, 513, 8918, 568, 16611, 610, 5258, 676, 513, 1379, 540, 476, 1015, 269, 2422, 2898, 5991, 3784, 23055, 547, 20301, 7060, 540, 476, 1015, 269, 5890, 7859, 543, 7060, 540, 476, 1015, 25092, 676, 7060, 540, 4557, 19147, 676, 7060, 540, 4557, 25092, 543, 7941, 676, 7060, 540, 4557, 476, 276, 12991, 6630, 269, 277, 281, 3367, 267, 2328, 267, 543, 5635, 17447, 547, 8536, 2195, 269, 476, 276, 12991, 6630, 269, 277, 281, 3367, 267, 2328, 267, 543, 5635, 17447, 547, 8536, 2195, 269, 476, 276, 12991, 6630, 269, 277, 18502, 281, 3367, 543, 2328, 17447, 547, 8536, 2195, 1210, 3490, 268, 1084, 27766, 267, 1297, 4408, 267, 543, 9450, 1106, 267, 552, 3052, 1421, 476, 31003, 269, 4375, 273, 815, 476, 274, 6398, 476, 1911, 1341, 476, 275, 6398, 476, 1015, 1341, 476, 278, 6398, 476, 272, 1341, 476, 274, 6398, 630, 272, 270, 1015, 264, 1341, 476, 280, 6398, 630, 272, 270, 1911, 264, 1341, 476, 273, 6398, 630, 272, 270, 1911, 271, 1040, 12476, 268, 1084, 27766, 7089, 4408, 30771, 539, 1106, 476, 276, 12991, 6630, 269, 277, 18502, 281, 3367, 543, 2328, 17447, 547, 8536, 2195, 1210, 3490, 268, 1084, 27766, 267, 1297, 4408, 267, 543, 9450, 1106, 267, 552, 3052, 1421, 476, 31003, 269, 4375, 273, 815, 476, 274, 6398, 476, 1911, 1341, 476, 275, 6398, 476, 1015, 1341, 476, 278, 6398, 476, 272, 1341, 476, 274, 6398, 630, 272, 270, 1015, 264, 1341, 476, 280, 6398, 630, 272, 270, 1911, 264, 1341, 476, 273, 6398, 630, 272, 270, 1911, 271, 1040, 12476, 268, 1084, 27766, 7089, 4408, 30771, 539, 1106, 476, 276, 12991, 6630, 269, 277, 12500, 281, 14424, 1079, 17447, 547, 8536, 2195, 1759, 593, 10096, 540, 519, 9704, 538, 1142, 1747, 267, 1210, 3436, 267, 815, 267, 543, 2999, 6698, 547, 2594, 519, 2164, 540, 16198, 269, 476, 276, 12991, 6630, 269, 277, 12500, 281, 14424, 1079, 17447, 547, 8536, 2195, 1759, 593, 10096, 540, 519, 9704, 538, 1142, 1747, 267, 1210, 3436, 267, 815, 267, 543, 2999, 6698, 547, 2594, 519, 2164, 540, 16198, 269, 9524, 4238, 609, 3818, 18251, 2898, 2338, 543, 609, 17447, 547, 4627, 2195, 269, 476, 276, 12991, 6630, 269, 279, 281, 12071, 1836, 9062, 3818, 18251, 2898, 2338, 1210, 519, 3044, 5690, 269, 25092, 676, 476, 273, 18251, 2338, 25092, 676, 476, 274, 18251, 2338, 25092, 1614, 610, 811, 2338, 476, 276, 12991, 6630, 269, 279, 281, 12071, 1836, 9062, 3818, 18251, 2898, 2338, 1210, 519, 3044, 5690, 269, 25092, 676, 476, 273, 18251, 2338, 25092, 676, 476, 274, 18251, 2338, 25092, 1614, 610, 811, 2338, 476, 276, 12991, 6630, 269, 280, 281, 4855, 2898, 5991, 3784, 9889, 1801, 540, 2898, 2338, 609, 909, 547, 2185, 18251, 27993, 543, 1079, 18251, 16975, 267, 1210, 2994, 1759, 593, 1747, 1871, 267, 519, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 8691, 543, 6498, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 476, 273, 18251, 543, 476, 274, 18251, 27993, 476, 275, 18251, 27993, 11150, 476, 276, 12991, 6630, 269, 280, 281, 4855, 2898, 5991, 3784, 9889, 1801, 540, 2898, 2338, 609, 909, 547, 2185, 18251, 27993, 543, 1079, 18251, 16975, 267, 1210, 2994, 1759, 593, 1747, 1871, 267, 519, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 8691, 543, 6498, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 476, 273, 18251, 543, 476, 274, 18251, 27993, 476, 275, 18251, 27993, 11150, 476, 276, 12991, 6630, 269, 1015, 281, 5410, 267, 10208, 267, 9062, 267, 543, 7941, 17447, 547, 4627, 2195, 267, 1210, 6405, 3631, 610, 12400, 543, 2994, 1759, 593, 1747, 1871, 267, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 1840, 543, 12408, 282, 9305, 519, 4640, 547, 513, 2854, 1505, 543, 2491, 519, 7744, 1031, 269, 5410, 543, 10208, 25092, 17447, 543, 2898, 2338, 25092, 1079, 17447, 19147, 476, 3953, 269, 24908, 4238, 476, 276, 12991, 6630, 269, 1015, 281, 5410, 267, 10208, 267, 9062, 267, 543, 7941, 17447, 547, 4627, 2195, 267, 1210, 6405, 3631, 610, 12400, 543, 2994, 1759, 593, 1747, 1871, 267, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 1840, 543, 12408, 282, 9305, 519, 4640, 547, 513, 2854, 1505, 543, 2491, 519, 7744, 1031, 269, 5410, 543, 10208, 25092, 17447, 543, 2898, 2338, 25092, 1079, 17447, 19147, 476, 3953, 269, 24908, 4238, 0, 309, 665, 17845, 1609, 5451, 14255, 533, 5451, 326, 2088, 476, 272, 1372, 476, 276, 692, 258, 476, 272, 692, 272, 269, 681, 807, 814, 681, 335, 736, 267, 476, 1822, 543, 1352, 1810, 919, 681, 335, 1015, 267, 476, 1822, 540, 1200, 2724, 585, 17493, 269, 3973, 1010, 3993, 3947, 1200, 681, 335, 1428, 267, 476, 1822, 563, 1692, 1454, 2724, 1281, 1352, 723, 1631, 2496, 273, 269, 5565, 25965, 723, 606, 3160, 1858, 269, 634, 2450, 540, 519, 1101, 13551, 568, 476, 2190, 9492, 676, 476, 736, 4699, 269, 634, 2450, 540, 519, 8700, 540, 454, 1278, 13551, 568, 476, 1626, 4699, 269, 875, 1082, 4699, 519, 3259, 540, 519, 824, 13551, 2496, 274, 269, 4855, 519, 4320, 543, 519, 2627, 1858, 540, 513, 13306, 799, 6316, 568, 476, 1839, 4699, 780, 275, 269, 634, 3259, 540, 519, 2427, 540, 519, 4009, 568, 476, 1704, 4699, 269, 1265, 519, 15943, 543, 1858, 540, 519, 4009, 780, 276, 269, 4855, 519, 4320, 543, 2627, 1858, 540, 519, 7750, 1355, 780, 273, 692, 277, 269, 19378, 814, 681, 335, 3374, 267, 476, 1822, 269, 1261, 6499, 547, 4444, 513, 556, 600, 540, 1957, 1942, 681, 335, 3451, 267, 476, 4335, 543, 513, 3640, 540, 31940, 1942, 681, 335, 2764, 267, 476, 12573, 563, 1692, 1454, 2724, 1281, 646, 991, 547, 1205, 547, 2628, 1312, 3688, 646, 6499, 547, 4444, 2496, 278, 269, 2605, 3471, 4677, 814, 513, 25521, 3337, 269, 634, 2450, 540, 519, 5011, 616, 476, 1789, 544, 543, 476, 1839, 544, 269, 621, 786, 581, 12630, 4054, 609, 454, 1492, 3845, 476, 273, 544, 835, 1776, 1472, 519, 4677, 269, 1215, 1082, 4054, 2838, 2496, 279, 269, 590, 842, 553, 4677, 814, 519, 3337, 540, 513, 4009, 609, 476, 2412, 544, 3259, 269, 681, 26320, 4677, 814, 519, 3337, 540, 25521, 609, 476, 1839, 454, 332, 4463, 269, 4256, 10651, 723, 606, 3160, 2450, 269, 1215, 1279, 519, 8700, 540, 681, 26320, 4677, 2496, 280, 269, 634, 8700, 540, 519, 13551, 568, 476, 280, 4699, 269, 519, 15943, 540, 519, 13551, 568, 476, 7918, 4699, 269, 1265, 519, 3259, 543, 519, 1858, 540, 519, 454, 5550, 4120, 780, 1015, 269, 26304, 1207, 903, 513, 25099, 585, 681, 335, 3374, 267, 476, 1822, 543, 513, 6292, 540, 26852, 585, 681, 335, 3953, 267, 476, 4335, 269, 1261, 17188, 1210, 1079, 12014, 540, 681, 335, 476, 2004, 267, 476, 1822, 269, 1215, 454, 332, 1276, 1689, 1281, 646, 1205, 2496, 274, 454, 1556, 269, 634, 15943, 540, 519, 4009, 568, 476, 9834, 4699, 269, 1265, 519, 3259, 543, 519, 1858, 540, 519, 4009, 780, 1321, 269, 769, 519, 7245, 5604, 267, 972, 568, 513, 10518, 540, 25879, 10833, 269, 634, 3259, 540, 519, 10518, 568, 476, 2190, 10833, 269, 634, 8700, 568, 476, 1626, 454, 7901, 525, 269, 1656, 519, 4463, 568, 476, 1015, 10833, 269, 1215, 1082, 10833, 616, 972, 538, 519, 10518, 2496, 1724, 269, 30370, 568, 7206, 519, 6821, 602, 8032, 513, 13551, 269, 634, 3259, 540, 519, 6821, 568, 476, 736, 544, 543, 519, 8700, 568, 476, 1691, 544, 269, 476, 272, 4846, 454, 335, 5593, 2614, 547, 5862, 476, 279, 544, 454, 273, 454, 269, 1215, 1082, 4846, 540, 5862, 568, 2838, 676, 30370, 2496, 1691, 269, 4855, 519, 4320, 543, 2627, 1858, 540, 519, 7750, 6950, 780, 275, 454, 1428, 269, 23821, 2088, 1207, 903, 513, 666, 540, 12897, 585, 681, 335, 7871, 267, 476, 16020, 543, 513, 11480, 540, 12450, 9440, 21360, 585, 681, 335, 2537, 267, 476, 14596, 269, 23821, 2088, 17188, 1210, 454, 305, 335, 1911, 267, 476, 1822, 269, 1215, 1454, 1689, 1281, 1352, 1205, 2496, 1626, 269, 634, 1858, 540, 513, 2019, 28380, 5480, 568, 476, 13301, 544, 454, 273, 454, 663, 519, 8700, 568, 476, 1428, 544, 269, 519, 3368, 540, 2019, 28380, 5480, 729, 13556, 5835, 563, 1692, 1082, 544, 454, 273, 454, 1492, 1858, 540, 519, 5835, 2361, 2496, 1704, 269, 4855, 519, 4320, 543, 2627, 1858, 540, 513, 13306, 799, 6316, 568, 476, 2641, 4699, 780, 1240, 269, 634, 1858, 540, 513, 4009, 568, 476, 18597, 4699, 454, 273, 454, 269, 4855, 519, 3259, 543, 519, 15943, 540, 519, 4009, 780 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4611, 2497, 267, 2356, 1572, 968, 2590, 1106, 2223, 568, 1419, 1031, 676, 2038, 5259, 15023, 547, 1665, 1055, 1713, 6810, 540, 513, 2239, 269, 3883, 18479, 1597, 3587, 538, 713, 5133, 606, 968, 788, 22690, 542, 2223, 513, 20538, 12473, 267, 29600, 676, 13341, 609, 19449, 576, 269, 1656, 519, 9035, 538, 7734, 27607, 998, 3828, 10679, 616, 2933, 29600, 538, 519, 1482, 1259, 676, 30328, 779, 7237, 609, 519, 1912, 2801, 659, 2103, 563, 2691, 649, 1413, 693, 621, 689, 713, 3677, 5133, 267, 519, 771, 9879, 540, 19449, 576, 543, 1200, 5912, 689, 5906, 6822, 10631, 816, 547, 7874, 948, 1889, 564, 538, 3883, 14210, 3587, 851, 540, 519, 10564, 779, 2239, 4640, 585, 513, 2101, 851, 540, 519, 6648, 269, 634, 3492, 878, 3029, 540, 519, 1650, 12927, 19320, 1063, 3197, 543, 3871, 267, 2679, 2495, 676, 17279, 267, 513, 3844, 4183, 540, 25264, 779, 19621, 4480, 269, 18623, 723, 6700, 602, 519, 946, 540, 7368, 3029, 593, 1585, 2157, 267, 1913, 267, 2453, 267, 543, 3677, 2239, 3889, 267, 9356, 519, 5888, 540, 25264, 545, 12473, 1510, 519, 5351, 540, 1603, 269, 2334, 4667, 2693, 267, 855, 938, 9787, 540, 519, 9954, 1631, 267, 607, 6378, 267, 2854, 1568, 540, 1148, 267, 5673, 593, 1373, 2111, 547, 1174, 875, 519, 7376, 945, 2813, 519, 8747, 649, 1631, 723, 1031, 602, 17279, 547, 1628, 2495, 563, 306, 9430, 593, 998, 519, 1554, 543, 883, 14334, 267, 519, 16380, 3914, 519, 2244, 540, 519, 595, 20810, 2103, 2676, 413, 376, 510, 394, 511, 16708, 15403, 3852, 374, 10382, 30307, 370, 3852, 377, 15770, 395, 484, 394, 511, 16575, 413, 379, 481, 3852, 374, 15770, 24681, 10382, 16575, 21227, 19031, 19031, 394, 511, 14832, 14267, 15403, 281, 3852, 379, 30307, 494, 29857, 394, 511, 12631, 14267, 16483, 413, 378, 377, 14668, 30307, 494, 16483, 14267, 30307, 374, 19084, 454, 413, 376, 510, 394, 511, 16575, 15403, 14267, 19084, 26420, 10382, 394, 511, 15184, 22886, 14832, 3852, 374, 10382, 16483, 10382, 29857, 394, 511, 16708, 24681, 15770, 16483, 10382, 15403, 31057, 478, 24681, 16483, 29111, 14832, 15770, 17385, 17385, 15403, 14832, 2676, 14267, 30307, 498, 15184, 413, 378, 377, 18841, 377, 479, 11027, 32703, 16483, 413, 378, 377, 31057, 480, 14832, 21566, 16483, 15770, 29111, 395, 485, 413, 379, 481, 17385, 15403, 12631, 16708, 30307, 372, 19084, 3852, 379, 30307, 494, 16708, 10382, 14832, 30307, 372, 14832, 31057, 478, 17385, 16483, 15770, 16708, 32703, 15770, 14832, 16483, 10382, 2676, 14267, 30307, 498, 15184, 413, 378, 377, 18841, 377, 483, 16483, 413, 378, 377, 31057, 480, 14832, 31057, 480, 395, 486, 31057, 494, 11027, 30307, 370, 29339, 10382, 413, 379, 500, 10382, 14832, 31057, 478, 11027, 413, 378, 377, 3852, 379, 30307, 494, 16708, 10382, 14832, 32703, 15184, 15770, 14832, 12631, 16708, 14267, 16483, 16708, 31149, 11027, 24341, 16483, 10382, 15403, 2676, 413, 376, 478, 16575, 16575, 413, 378, 377, 31057, 494, 11027, 30307, 370, 3852, 377, 30307, 374, 394, 378, 18841, 377, 478, 16575, 14267, 30307, 368, 26018, 394, 511, 16483, 10382, 16483, 10382, 15403, 24818, 15770, 15403, 16575, 14267, 413, 379, 500, 17385, 15403, 16061, 16708, 14267, 16483, 14267, 413, 379, 500, 17385, 15403, 563, 8243, 6139, 1042, 676, 12269, 543, 20893, 282, 711, 2479, 593, 873, 454, 323, 3996, 519, 26124, 3141, 1413, 1524, 609, 922, 12345, 2676, 2254, 950, 621, 2306, 922, 1259, 2066, 519, 5182, 787, 30723, 2676, 24335, 950, 621, 12599, 1394, 1586, 547, 3618, 689, 519, 6607, 2676, 8117, 2141, 1989, 574, 3781, 21018, 936, 530, 4958, 3481, 6180, 1023, 563, 763, 32096, 3852, 374, 15770, 24681, 10382, 16575, 21227, 19031, 19031, 394, 511, 14832, 14267, 15403, 5036, 519, 3159, 281, 30328, 568, 22892, 2786, 883, 519, 21933, 643, 542, 646, 814, 1044, 10010, 547, 2057, 269, 2836, 2988, 810, 779, 27972, 752, 267, 1951, 21794, 1864, 1524, 883, 519, 4158, 4262, 630, 276, 269, 25834, 1700, 27088, 1070, 1631, 31272, 8986, 607, 513, 25136, 540, 14334, 602, 1159, 1278, 338, 1864, 4625, 267, 1100, 9101, 269, 634, 968, 290, 20810, 2103, 892, 9468, 1100, 1747, 649, 666, 2697, 269, 634, 3140, 1004, 609, 602, 2012, 15151, 12306, 538, 1018, 568, 1631, 12907, 267, 1247, 25264, 779, 595, 20810, 2103, 2661, 538, 519, 2484, 4639, 593, 519, 6316, 540, 519, 5836, 602, 789, 16545, 1958, 597, 743, 532, 519, 3618, 269, 1306, 8912, 267, 519, 11585, 568, 26704, 543, 7361, 12572, 269, 634, 13675, 547, 519, 2244, 540, 519, 4666, 568, 1271, 607, 513, 2168, 23314, 540, 519, 4986, 1145, 602, 27938, 30328, 782, 519, 1259, 1753, 269, 898, 779, 15991, 9670, 602, 519, 1753, 540, 4666, 1004, 1058, 1404, 713, 1909, 269, 1548, 568, 11495, 568, 875, 519, 10564, 6402, 713, 14334, 547, 1346, 1869, 538, 519, 1158, 540, 519, 2713, 563, 763, 19001, 543, 15093, 538, 3515, 476, 2420, 268, 3451, 2992, 12738, 1336, 538, 5259, 2528, 950, 6180, 1023, 1336, 2933, 2282, 519, 1158, 540, 519, 4666, 269, 898, 779, 1419, 1044, 7074, 602, 30328, 1281, 711, 267, 538, 1249, 267, 2479, 4283, 519, 896, 16447, 267, 855, 14805, 976, 519, 15293, 338, 547, 519, 1973, 23752, 546, 3558, 593, 519, 6316, 269, 901, 1469, 1058, 711, 1832, 721, 689, 3206, 827, 519, 12558, 607, 606, 1383, 540, 519, 737, 520, 629, 12118, 14953, 609, 782, 922, 12205, 269, 634, 8628, 267, 27972, 1136, 14334, 538, 519, 2244, 540, 519, 595, 20810, 2103, 814, 2907, 1045, 12097, 519, 13513, 540, 519, 896, 16447, 543, 4448, 621, 547, 519, 21933, 643, 542, 602, 27938, 30328, 11992, 269, 634, 1648, 538, 519, 12558, 2501, 689, 519, 13341, 602, 30328, 814, 609, 1585, 5515, 269, 2334, 891, 11401, 4755, 593, 519, 10465, 2306, 519, 12558, 513, 3226, 4090, 748, 1929, 1400, 1995, 267, 593, 519, 6316, 540, 519, 1634, 543, 7164, 267, 519, 2713, 543, 519, 4666, 563, 763, 15293, 338, 15624, 1472, 519, 26481, 546, 3558, 267, 513, 3444, 16687, 267, 538, 519, 1893, 540, 2038, 5259, 6965, 267, 540, 8103, 281, 1762, 543, 2025, 267, 2367, 543, 2021, 267, 7980, 2407, 540, 588, 629, 16398, 269, 1358, 19060, 1394, 543, 8521, 267, 11423, 519, 2011, 609, 16564, 15770, 17385, 11027, 15770, 17385, 29111, 413, 379, 481, 31057, 364, 10382, 395, 485, 413, 379, 485, 267, 968, 320, 581, 32612, 1359, 6846, 892, 630, 6246, 1040, 12846, 538, 1852, 1256, 538, 519, 896, 16447, 267, 30328, 8952, 873, 693, 513, 3845, 609, 1010, 18156, 267, 7996, 585, 1855, 2231, 5362, 563, 291, 574, 1442, 267, 717, 269, 476, 2735, 280, 269, 634, 30767, 540, 519, 31660, 267, 476, 15836, 1700, 9610, 269, 2549, 615, 560, 267, 10790, 281, 2160, 540, 12590, 4964, 563, 10955, 2072, 267, 631, 15030, 269, 476, 2735, 278, 269, 25264, 281, 7313, 564, 540, 519, 594, 2993, 611, 267, 476, 8618, 1700, 6507, 269, 22768, 543, 5507, 281, 8592, 22846, 2160, 4964, 563, 3891, 4209, 1188, 267, 589, 269, 543, 14208, 2131, 14259, 267, 589, 269, 1196, 269, 476, 2735, 280, 269, 589, 19410, 776, 593, 25264, 779, 31660, 267, 2019, 269, 4083, 267, 7734, 26577, 1700, 311, 9654, 267, 476, 4037, 268, 8064, 269, 10228, 281, 10228, 2160, 4964, 563, 29409, 13769, 267, 808, 269, 476, 1220, 274, 269, 589, 12660, 542, 547, 25264, 779, 31660, 267, 476, 9818, 1700, 10441, 269, 4639, 1636, 267, 11632, 281, 5682, 6229, 4964, 563, 301, 698, 2401, 267, 631, 269, 476, 1960, 277, 269, 968, 291, 1348, 31001, 4860, 529, 1243, 1848, 769, 2480, 515, 514, 267, 590, 269, 476, 1960, 277, 269, 7335, 519, 31660, 269, 23134, 281, 23134, 2160, 4964, 267, 476, 15221, 1700, 14341, 563, 3725, 514, 14551, 339, 267, 918, 269, 476, 3707, 273, 269, 968, 763, 24601, 538, 519, 31660, 1848, 769, 2480, 515, 514, 267, 590, 269, 476, 1960, 277, 269, 7335, 519, 31660, 269, 23134, 281, 23134, 2160, 4964, 267, 476, 10441, 1700, 8099, 563, 1320, 531, 2006, 267, 654, 269, 476, 1960, 273, 269, 634, 31660, 281, 606, 12473, 540, 2132, 267, 476, 6434, 1700, 11152, 269, 1715, 3840, 281, 570, 3118, 928, 23255, 563, 302, 323, 903, 22040, 10742, 519, 15293, 338, 540, 4432, 5155, 528, 267, 4165, 1731, 548, 807, 267, 543, 1855, 2231, 5362, 563, 2026, 8912, 267, 25264, 2306, 721, 7227, 585, 519, 2462, 7237, 609, 1855, 2231, 5362, 269, 3689, 267, 649, 2743, 519, 15293, 630, 395, 486, 21227, 395, 485, 394, 362, 264, 540, 4432, 5155, 528, 267, 1010, 796, 10767, 1221, 1560, 9044, 1359, 593, 19449, 576, 779, 6532, 269, 1261, 1917, 338, 30328, 585, 19746, 543, 649, 5873, 519, 1650, 540, 1010, 2669, 1586, 630, 22396, 269, 476, 1015, 269, 31134, 1700, 11740, 1040, 2060, 891, 18627, 267, 519, 10564, 585, 2471, 513, 3095, 1063, 7734, 14210, 267, 18479, 1597, 267, 543, 3828, 10679, 267, 4758, 513, 2601, 585, 519, 16380, 547, 2132, 547, 19449, 576, 779, 6532, 269, 4432, 5155, 528, 568, 538, 513, 2027, 7121, 540, 6543, 486, 21227, 395, 485, 394, 362, 269, 1261, 3112, 2943, 3444, 936, 883, 519, 896, 16447, 1317, 1010, 1560, 3788, 796, 10767, 1221, 267, 865, 646, 25601, 1010, 3965, 267, 799, 786, 14897, 950, 646, 13788, 269, 634, 824, 6543, 486, 395, 491, 395, 485, 10382, 15403, 1590, 4235, 519, 1973, 689, 519, 546, 3558, 547, 22919, 741, 8823, 543, 1287, 1152, 17303, 269, 630, 763, 9868, 1934, 568, 1855, 2231, 5362, 267, 945, 25601, 1010, 4412, 4854, 7060, 1256, 538, 519, 896, 16447, 4700, 30328, 267, 3020, 547, 1010, 24123, 4567, 267, 666, 9886, 10151, 1480, 9637, 547, 519, 4666, 269, 634, 2164, 786, 711, 2141, 581, 6126, 585, 873, 563, 1348, 2407, 1557, 454, 763, 1893, 540, 4432, 5155, 528, 779, 7662, 31061, 1776, 4583, 1139, 997, 566, 912, 8072, 16575, 29111, 17385, 17385, 14267, 19031, 413, 378, 377, 18841, 377, 495, 11027, 30307, 366, 16708, 6543, 486, 21227, 395, 485, 413, 379, 484, 19084, 3852, 374, 10382, 30307, 370, 29339, 14267, 395, 491, 14832, 22886, 14832, 21566, 413, 379, 370, 14832, 26018, 15770, 26018, 14267, 24681, 394, 362, 22886, 14832, 454, 19031, 394, 362, 13179, 15770, 31057, 498, 10382, 12631, 10382, 16708, 30307, 364, 3852, 377, 24341, 21227, 17385, 30307, 370, 3852, 374, 395, 491, 14832, 10382, 19084, 3852, 374, 10382, 16483, 10382, 29857, 31149, 395, 486, 10382, 15403, 31057, 486, 395, 485, 10382, 15403, 413, 379, 370, 14832, 2676, 413, 376, 478, 16575, 16575, 30307, 364, 21566, 30307, 374, 13179, 30307, 366, 14832, 6543, 485, 10382, 16575, 24681, 32703, 14832, 26018, 15770, 31057, 483, 16575, 15403, 19084, 6543, 485, 16708, 21227, 17385, 32703, 14832, 26018, 15770, 24818, 394, 511, 29857, 15770, 394, 378, 14267, 454, 29857, 413, 379, 370, 16708, 10382, 26018, 31149, 26018, 14267, 15403, 24818, 395, 492, 17385, 14267, 21227, 17385, 15403, 12631, 10382, 16483, 30307, 368, 16708, 3852, 374, 10382, 30307, 370, 12631, 32703, 16483, 14832, 15403, 10382, 13179, 394, 362, 16483, 24341, 16708, 2676, 17385, 413, 379, 370, 19031, 10382, 24818, 30307, 366, 3852, 379, 413, 376, 368, 24681, 10382, 29857, 413, 378, 377, 31057, 494, 19031, 30307, 372, 14832, 24818, 32703, 19031, 15770, 14832, 10382, 15403, 12631, 31149, 16575, 15403, 14832, 267, 18841, 377, 482, 395, 484, 16708, 10382, 12631, 21227, 16708, 32703, 19084, 13179, 15770, 454, 394, 353, 16708, 413, 379, 370, 15770, 19084, 3852, 374, 10382, 30307, 370, 3852, 353, 16708, 395, 492, 22886, 14832, 31057, 482, 16575, 14267, 395, 485, 14267, 15403, 18494, 15770, 16575, 31149, 395, 485, 22886, 17385, 15403, 16564, 10382, 14832, 32703, 14832, 16483, 10382, 563, 296, 1917, 596, 676, 707, 1272, 267, 707, 19704, 267, 543, 707, 3237, 2676, 4777, 711, 4734, 803, 676, 519, 9635, 585, 519, 5243, 540, 519, 21926, 2801, 753, 547, 3548, 2676, 8117, 596, 1491, 519, 10731, 19730, 543, 4154, 972, 2676, 326, 22284, 602, 1250, 4651, 543, 3993, 786, 2285, 596, 2676, 663, 1577, 1250, 1560, 979, 1394, 1753, 1586, 267, 865, 519, 18858, 329, 753, 454, 663, 741, 24726, 666, 2285, 803, 1250, 6712, 540, 519, 3595, 563, 300, 677, 958, 20754, 543, 7643, 689, 2669, 267, 670, 10725, 13922, 585, 513, 5869, 779, 19746, 693, 31684, 269, 31456, 26814, 713, 5418, 320, 585, 524, 643, 1006, 11735, 609, 513, 530, 2416, 532, 16253, 267, 1287, 23131, 547, 6146, 670, 10725, 543, 8749, 1010, 1351, 335, 572, 1472, 519, 6821, 540, 31684, 607, 513, 512, 15577, 269, 634, 7553, 6659, 538, 721, 676, 713, 30468, 568, 10630, 538, 519, 6547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2328, 707, 1557, 538, 16720, 3898, 713, 2376, 666, 581, 5363, 607, 1134, 4179, 2517, 22967, 269, 29480, 1557, 3898, 281, 4367, 10068, 513, 6390, 13622, 1930, 518, 513, 10839, 536, 2243, 524, 1249, 610, 18802, 1018, 616, 649, 269, 2201, 713, 2985, 596, 786, 1265, 1863, 1806, 540, 15986, 3382, 2985, 267, 16643, 3382, 2985, 596, 786, 1451, 875, 547, 1118, 1557, 2140, 2985, 543, 875, 547, 1118, 1697, 1557, 3382, 2985, 3898, 563, 763, 3898, 540, 519, 10388, 1557, 707, 10388, 1557, 786, 711, 581, 513, 1967, 8259, 519, 5467, 12517, 9356, 2390, 32029, 6881, 2376, 563, 268, 634, 12809, 5639, 568, 1898, 547, 519, 1382, 1957, 3898, 585, 2362, 1377, 5359, 543, 4744, 31277, 596, 786, 723, 547, 2285, 513, 6881, 563, 268, 30365, 1369, 519, 7291, 1590, 849, 8415, 16643, 538, 17856, 14327, 8918, 7291, 476, 1015, 3442, 5551, 2852, 476, 1556, 3643, 543, 6218, 2852, 3786, 4926, 563, 268, 6258, 875, 547, 1376, 543, 1439, 606, 7005, 6881, 6881, 7215, 543, 875, 547, 10891, 6881, 563, 268, 634, 1053, 786, 723, 835, 3018, 689, 519, 23318, 540, 519, 1788, 547, 2347, 519, 2458, 720, 543, 5965, 513, 6881, 3898, 540, 875, 547, 2328, 513, 11556, 1557, 563, 268, 18391, 585, 4633, 1603, 4388, 519, 3056, 4633, 543, 6881, 1603, 3028, 875, 547, 2328, 513, 4633, 693, 1205, 268, 22967, 1260, 563, 14187, 1603, 543, 2497, 666, 1118, 606, 5140, 543, 2500, 6881, 4388, 585, 17265, 543, 11049, 707, 6881, 6300, 1603, 707, 6881, 269, 1215, 547, 2328, 513, 5098, 11556, 693, 1205, 268, 22967, 1260, 513, 5098, 11556, 568, 513, 13801, 3561, 602, 14592, 1018, 2186, 540, 5098, 596, 616, 2469, 547, 2328, 267, 1018, 2186, 540, 269, 19809, 543, 11249, 950, 8600, 707, 1867, 610, 1557, 585, 19169, 3277, 547, 707, 1770, 3391, 585, 5528, 593, 875, 547, 1459, 543, 3898, 707, 3561, 269, 0, 7049, 8412, 281, 538, 519, 4098, 689, 5137, 547, 705, 12646, 968, 514, 519, 4098, 5601, 2813, 519, 30723, 543, 519, 3618, 892, 630, 2102, 8412, 476, 272, 281, 272, 264, 891, 4583, 6679, 1913, 540, 519, 23573, 2769, 519, 646, 11119, 543, 2663, 519, 22344, 3661, 827, 519, 5748, 540, 519, 7122, 1281, 519, 7122, 723, 2495, 6090, 529, 6645, 721, 602, 621, 1281, 519, 7122, 729, 269, 634, 2984, 538, 519, 1433, 540, 6090, 529, 2443, 5137, 267, 8103, 779, 2887, 267, 519, 6360, 267, 705, 12646, 543, 568, 320, 659, 267, 795, 24944, 538, 26131, 267, 543, 811, 2443, 723, 27278, 543, 6273, 9925, 338, 267, 13171, 2103, 267, 543, 1660, 32093, 7567, 585, 27453, 269, 769, 519, 1433, 540, 6090, 529, 267, 593, 799, 1554, 540, 519, 5137, 1184, 1281, 5601, 1711, 3425, 269, 9540, 1895, 3391, 1107, 3018, 476, 272, 5601, 945, 5932, 519, 5939, 693, 2156, 758, 15113, 267, 23891, 4231, 476, 275, 268, 1015, 267, 476, 1001, 271, 6090, 529, 476, 272, 268, 274, 968, 326, 617, 945, 5932, 2223, 23891, 4231, 476, 275, 268, 1015, 267, 476, 1001, 271, 1923, 2985, 476, 273, 269, 634, 2262, 6090, 529, 1797, 5169, 610, 5137, 6090, 529, 267, 519, 1101, 1433, 540, 519, 2025, 15266, 267, 568, 513, 1433, 540, 20297, 621, 814, 1044, 1767, 602, 1169, 2101, 14985, 814, 922, 6079, 610, 4098, 538, 6090, 529, 585, 1383, 267, 519, 1570, 7122, 267, 519, 1480, 5198, 267, 5609, 267, 519, 9153, 540, 519, 3190, 11672, 267, 4654, 543, 519, 646, 11119, 4182, 782, 723, 741, 20297, 538, 519, 1433, 540, 6090, 529, 585, 713, 2601, 6090, 529, 269, 5999, 827, 519, 1650, 540, 5137, 585, 946, 538, 3450, 23573, 2984, 543, 18408, 547, 1453, 538, 22344, 9251, 543, 1453, 781, 18591, 31914, 599, 1153, 269, 19606, 568, 519, 1433, 540, 20297, 540, 942, 267, 1272, 267, 5609, 267, 20778, 267, 519, 1480, 5198, 267, 543, 519, 646, 11119, 4182, 519, 5137, 267, 2887, 267, 6360, 267, 543, 519, 6082, 563, 18661, 5932, 519, 1158, 538, 3670, 2395, 543, 13394, 6233, 519, 18749, 607, 513, 1554, 540, 1964, 326, 617, 5932, 519, 1101, 3425, 740, 600, 543, 552, 557, 543, 782, 519, 2831, 538, 519, 4677, 540, 1196, 523, 855, 4051, 338, 873, 711, 547, 3548, 519, 4829, 540, 519, 3529, 540, 1702, 540, 1434, 543, 9409, 320, 6158, 1583, 25871, 17814, 607, 513, 632, 21082, 13442, 610, 8945, 3122, 267, 1303, 1182, 552, 557, 883, 4189, 621, 269, 589, 26567, 3232, 23573, 1353, 540, 519, 2025, 15266, 278, 6377, 6810, 609, 513, 5758, 10687, 29232, 267, 4901, 2055, 267, 543, 513, 4052, 3232, 3498, 3018, 476, 272, 31914, 599, 630, 2102, 8412, 476, 272, 281, 272, 268, 273, 264, 519, 5137, 540, 519, 1158, 476, 272, 281, 272, 538, 519, 269, 634, 23573, 779, 2272, 540, 519, 4098, 540, 1272, 538, 6090, 529, 11271, 476, 272, 543, 476, 273, 666, 581, 6956, 676, 4896, 6090, 529, 476, 272, 6257, 782, 519, 2168, 2621, 540, 5137, 6090, 529, 476, 273, 5654, 1394, 693, 519, 5137, 540, 3425, 811, 5702, 6090, 529, 476, 273, 949, 2408, 547, 581, 513, 2370, 1114, 689, 6090, 529, 476, 272, 267, 3056, 930, 1004, 547, 3494, 972, 568, 513, 12161, 563, 261, 512, 804, 1046, 267, 476, 4489, 271, 1070, 476, 1691, 543, 554, 15071, 267, 519, 1433, 540, 6090, 529, 267, 11271, 476, 272, 268, 1704, 267, 476, 10755, 6090, 529, 476, 272, 281, 272, 268, 274, 281, 5137, 610, 556, 268, 21551, 476, 29204, 5918, 1027, 2059, 269, 19606, 3217, 721, 1394, 547, 519, 1360, 4098, 621, 12857, 5601, 607, 17082, 543, 3947, 513, 19214, 883, 519, 5169, 543, 3483, 540, 1010, 5137, 31251, 3425, 563, 13480, 1504, 593, 6090, 529, 2985, 1948, 277, 476, 280, 1236, 574, 669, 777, 476, 272, 543, 1592, 1018, 5601, 1500, 593, 1142, 1554, 540, 5137, 27655, 713, 1592, 476, 272, 560, 1554, 2443, 476, 273, 526, 1554, 2443, 476, 274, 6113, 1554, 2443, 476, 275, 628, 1554, 269, 8525, 476, 272, 540, 476, 273, 910, 606, 4244, 1686, 538, 6090, 529, 910, 11540, 538, 5137, 6386, 281, 713, 568, 513, 1434, 1448, 952, 649, 1413, 693, 519, 1433, 540, 13414, 267, 513, 28897, 540, 519, 2104, 267, 972, 568, 2370, 972, 602, 649, 1131, 546, 732, 547, 4612, 12777, 543, 18971, 945, 2451, 6085, 2456, 593, 519, 1433, 540, 11240, 725, 8179, 6456, 270, 22131, 26382, 2495, 538, 519, 2592, 4843, 538, 519, 1433, 269, 18179, 344, 543, 6090, 529, 281, 1018, 519, 18971, 2731, 6026, 513, 2689, 540, 6090, 529, 267, 5137, 543, 2038, 812, 676, 9992, 1583, 7469, 574, 9782, 23920, 1200, 2006, 540, 620, 10939, 7015, 3125, 267, 3531, 2088, 267, 1309, 267, 476, 1220, 271, 12649, 676, 1768, 787, 6180, 21672, 713, 476, 3583, 280, 22240, 1433, 568, 513, 10950, 1840, 547, 519, 5137, 626, 3332, 538, 602, 621, 568, 2417, 2178, 2963, 602, 554, 7676, 887, 1087, 267, 575, 548, 1783, 563, 7049, 8412, 281, 5758, 540, 5137, 2433, 8164, 4974, 519, 23573, 267, 1491, 883, 2272, 1614, 1919, 950, 5275, 547, 1174, 513, 8574, 281, 476, 272, 264, 1141, 543, 875, 1281, 519, 1433, 519, 8574, 568, 1336, 538, 3514, 883, 519, 2949, 10325, 540, 519, 23573, 568, 621, 538, 519, 2025, 610, 1007, 15266, 729, 621, 2854, 538, 519, 2085, 540, 519, 24663, 338, 610, 519, 2085, 540, 519, 28556, 267, 610, 269, 19606, 7291, 875, 519, 17082, 12211, 547, 812, 1259, 928, 838, 27247, 1775, 519, 1101, 27790, 4783, 910, 519, 2887, 540, 812, 543, 922, 4539, 513, 2518, 1445, 281, 519, 5169, 540, 812, 543, 1010, 2887, 689, 19870, 563, 763, 1433, 540, 6090, 529, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 476, 2918, 267, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 267, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 3374, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 4375, 269, 898, 568, 1455, 585, 12666, 13915, 540, 519, 23573, 547, 7682, 602, 519, 1433, 540, 6090, 529, 3568, 1079, 6589, 540, 519, 5137, 540, 519, 3618, 543, 18495, 16957, 569, 267, 891, 1079, 6589, 2992, 1114, 4589, 267, 1114, 942, 5712, 267, 3092, 621, 2417, 568, 9901, 602, 519, 6386, 17591, 1142, 824, 538, 269, 634, 1433, 540, 6090, 529, 2606, 1570, 4367, 543, 4282, 513, 2140, 6090, 529, 1797, 968, 514, 519, 4098, 892, 630, 2041, 3306, 603, 1107, 646, 321, 264, 621, 568, 3976, 519, 1433, 540, 8129, 281, 5137, 267, 812, 267, 7365, 267, 5609, 267, 2893, 534, 267, 10385, 267, 25863, 267, 568, 5361, 267, 6082, 267, 4654, 267, 2229, 267, 2486, 267, 3092, 5601, 267, 2705, 267, 1281, 711, 723, 606, 5169, 646, 568, 3274, 5189, 269, 9861, 6956, 998, 1018, 814, 1044, 1500, 713, 3069, 568, 1759, 593, 519, 2034, 14235, 540, 6090, 529, 476, 272, 27655, 713, 513, 4901, 540, 519, 5137, 540, 1272, 538, 519, 1433, 540, 6090, 529, 1592, 476, 272, 560, 1554, 476, 273, 526, 1554, 476, 274, 6113, 1554, 21517, 543, 3655, 336, 338, 689, 721, 523, 564, 3377, 16766, 13991, 547, 519, 4901, 543, 7521, 540, 5137, 610, 8034, 318, 1046, 269, 0, 2791, 14348, 660, 21763, 547, 2142, 606, 476, 1240, 628, 31588, 1722, 3703, 1230, 341, 1112, 256, 2433, 589, 25676, 547, 5245, 1411, 323, 13298, 3502, 6875, 454, 21579, 3241, 5651, 572, 729, 513, 18048, 543, 23266, 1034, 4122, 1634, 585, 519, 8798, 540, 519, 2582, 5911, 751, 25393, 543, 5651, 572, 3009, 538, 519, 476, 8146, 271, 338, 269, 2026, 513, 1267, 267, 519, 2229, 5293, 634, 31543, 2920, 540, 476, 8146, 274, 547, 10038, 7050, 1126, 4074, 269, 5970, 596, 2479, 4941, 547, 1491, 606, 11599, 8092, 681, 1478, 4347, 2658, 998, 563, 23873, 4414, 323, 6002, 267, 875, 568, 519, 1977, 21829, 2782, 454, 28158, 1148, 543, 6189, 540, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 563, 5278, 2986, 634, 7454, 3883, 667, 539, 10716, 1411, 14348, 17451, 3367, 14367, 13602, 941, 5402, 9112, 267, 543, 28726, 1419, 530, 913, 538, 2609, 689, 22521, 2621, 610, 4057, 1514, 2175, 610, 635, 1227, 1065, 14601, 3197, 883, 1010, 6386, 7868, 4720, 540, 12948, 814, 3177, 513, 2922, 12948, 1062, 602, 1202, 999, 519, 3106, 540, 938, 7221, 1303, 27434, 547, 519, 8492, 7868, 8360, 11710, 689, 513, 5870, 538, 827, 476, 12739, 272, 1063, 519, 3532, 3943, 8804, 14012, 2051, 6975, 543, 513, 1895, 540, 3943, 1870, 5443, 3366, 676, 513, 1978, 631, 269, 2274, 717, 754, 516, 20193, 729, 513, 1360, 1507, 1900, 281, 1256, 1310, 519, 6963, 267, 8370, 4458, 6040, 1453, 267, 585, 1383, 267, 1223, 1869, 960, 8370, 3108, 513, 1554, 267, 3670, 2395, 513, 3018, 2529, 974, 600, 1379, 267, 543, 519, 9252, 13324, 12227, 729, 1360, 6225, 585, 2504, 4390, 269, 7661, 519, 7269, 540, 519, 1702, 4346, 814, 13714, 730, 519, 2165, 844, 2435, 5823, 547, 3277, 547, 2362, 1931, 267, 1950, 267, 543, 11285, 4247, 540, 1852, 267, 2504, 543, 2359, 269, 2026, 513, 2197, 4422, 998, 22713, 610, 2804, 1646, 621, 568, 2009, 547, 1294, 513, 6825, 6521, 538, 519, 6871, 540, 519, 4074, 3196, 3238, 538, 519, 1142, 540, 519, 2947, 9922, 563, 3891, 22309, 519, 18648, 16572, 25467, 630, 29671, 1851, 1271, 4207, 24192, 264, 6462, 519, 12397, 16572, 267, 799, 5189, 513, 1062, 540, 9204, 593, 3703, 20558, 540, 10568, 11053, 4381, 693, 2789, 9945, 543, 729, 1434, 2828, 609, 6424, 670, 2541, 269, 11328, 4219, 762, 2694, 267, 1216, 12741, 267, 543, 519, 9252, 2599, 3964, 2527, 2504, 609, 513, 1804, 10198, 540, 5667, 330, 2683, 4600, 5861, 11384, 4162, 540, 16851, 1331, 3854, 13250, 267, 8013, 6990, 543, 13230, 4074, 269, 13731, 5733, 1433, 3903, 269, 19171, 269, 4787, 760, 547, 269, 596, 2901, 1616, 547, 4235, 2620, 540, 519, 2883, 646, 6447, 1442, 610, 11453, 269, 5654, 693, 519, 2296, 689, 519, 476, 1626, 628, 547, 476, 1240, 628, 2540, 11783, 763, 28051, 540, 1804, 267, 27352, 11262, 3180, 902, 9415, 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 ]
[ 9492, 23201, 0, 258, 20211, 20099, 281, 9502, 1299, 17817, 692, 9743, 1192, 528, 281, 31130, 25480, 454, 6635, 322, 3259, 568, 606, 1271, 2460, 547, 1620, 13980, 540, 17208, 13080, 269, 1306, 596, 786, 1451, 538, 713, 3992, 267, 9256, 938, 1702, 540, 18592, 543, 3844, 5086, 3800, 2636, 721, 547, 1265, 9095, 3259, 780, 1012, 9502, 540, 20211, 20099, 692, 2026, 606, 20987, 12599, 1472, 519, 1158, 267, 621, 5205, 513, 1978, 8184, 2619, 269, 901, 2619, 814, 547, 1246, 519, 26048, 540, 938, 3618, 267, 799, 2306, 519, 7077, 1246, 513, 1978, 9095, 269, 901, 9095, 3259, 568, 513, 6712, 540, 519, 3003, 18592, 540, 519, 3618, 780, 6635, 322, 3259, 568, 12777, 519, 3259, 540, 519, 9095, 540, 513, 6712, 540, 513, 5858, 269, 901, 9095, 568, 513, 851, 540, 519, 2698, 18592, 540, 513, 5858, 269, 901, 3259, 568, 6027, 607, 513, 5276, 3845, 269, 4595, 621, 568, 513, 6712, 540, 519, 3003, 18592, 267, 649, 991, 547, 1101, 2697, 519, 4542, 1031, 547, 1265, 519, 18592, 540, 513, 5858, 607, 1134, 607, 946, 519, 3844, 5086, 780, 1012, 8562, 636, 12401, 543, 6239, 24234, 692, 290, 1844, 636, 12401, 568, 513, 2165, 1031, 547, 4766, 519, 3259, 1472, 513, 5858, 269, 8562, 636, 12401, 568, 1336, 1210, 713, 4542, 1384, 290, 568, 585, 8562, 636, 12401, 267, 546, 568, 519, 8006, 543, 14039, 267, 666, 581, 17031, 547, 476, 274, 269, 1691, 780, 763, 3844, 5086, 2268, 786, 581, 2016, 547, 596, 543, 2094, 621, 568, 513, 851, 540, 519, 2898, 5858, 267, 621, 786, 581, 2854, 607, 513, 6824, 269, 1280, 3236, 267, 952, 596, 723, 513, 3844, 5086, 2268, 540, 476, 3393, 5232, 267, 519, 6824, 1131, 581, 476, 3393, 270, 11740, 780, 1012, 15531, 519, 20211, 20099, 692, 2304, 9095, 3259, 568, 6027, 676, 2921, 513, 851, 540, 519, 2898, 5858, 269, 1280, 3236, 267, 952, 596, 1185, 513, 3844, 5086, 2268, 540, 476, 3393, 5232, 267, 519, 9095, 2813, 676, 713, 5086, 1131, 581, 476, 3393, 856, 540, 476, 11740, 5232, 610, 476, 3393, 270, 11740, 5232, 269, 634, 9095, 3259, 1131, 581, 1336, 676, 12719, 519, 6712, 540, 519, 5858, 267, 602, 568, 476, 3393, 540, 476, 11740, 5232, 540, 519, 5858, 780, 6635, 322, 3259, 568, 9256, 519, 4542, 585, 18592, 540, 513, 5858, 609, 519, 3844, 5086, 2268, 540, 519, 5858, 269, 634, 4542, 585, 4466, 9095, 3259, 568, 1384, 2414, 12260, 713, 3992, 596, 1590, 581, 513, 5530, 2593, 16588, 780, 2162, 19193, 547, 2070, 713, 3992, 692, 6701, 596, 513, 2875, 610, 513, 4116, 2496, 2971, 6423, 585, 3054, 1946, 476, 1789, 2929, 1004, 946, 5530, 2593, 692, 7462, 28161, 513, 5530, 2593, 4759, 543, 1376, 1565, 1631, 563, 12988, 454, 1432, 3610, 616, 6031, 827, 5530, 2593, 692, 2162, 2423, 940, 5441, 15894, 692, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 269, 0, 258, 20554, 4569, 2433, 1215, 547, 1265, 519, 4320, 540, 513, 13409, 692, 1012, 7151, 5999, 692, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 2791, 723, 606, 8900, 12718, 609, 513, 3490, 8006, 540, 476, 277, 543, 513, 4463, 540, 476, 1015, 543, 596, 723, 513, 13409, 2407, 540, 1216, 609, 513, 3490, 8953, 540, 476, 274, 543, 513, 4463, 540, 476, 1015, 269, 1109, 1403, 596, 8900, 519, 13409, 540, 1216, 883, 519, 12718, 267, 875, 1454, 4320, 568, 2451, 8900, 538, 519, 12718, 2496, 15008, 1384, 290, 2643, 5407, 11730, 25883, 290, 821, 11730, 25883, 290, 2643, 5407, 18924, 2678, 815, 476, 277, 267, 4061, 595, 2643, 5407, 7101, 3780, 815, 476, 274, 692, 10387, 27679, 11730, 815, 595, 2643, 5407, 11730, 1107, 595, 821, 11730, 692, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 2791, 723, 1079, 25862, 267, 835, 609, 513, 8006, 540, 476, 30548, 513, 4463, 540, 476, 30548, 1776, 609, 513, 8006, 540, 476, 30548, 513, 4463, 540, 1547, 1403, 596, 6445, 1109, 1492, 4130, 13409, 609, 5070, 543, 29746, 602, 5070, 1109, 20041, 519, 3677, 13409, 267, 875, 1454, 8900, 2230, 786, 581, 2451, 538, 519, 3677, 13409, 2496, 15008, 1384, 272, 269, 4855, 519, 4320, 540, 1142, 13409, 1384, 290, 821, 476, 272, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 290, 821, 476, 273, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 273, 269, 16265, 847, 519, 4130, 4320, 689, 519, 3677, 4320, 1384, 2162, 7151, 7726, 1948, 1556, 2433, 1230, 525, 692, 2791, 723, 606, 8900, 13409, 543, 513, 12718, 4904, 609, 1216, 269, 634, 13409, 814, 513, 8006, 540, 476, 30548, 513, 4463, 540, 1547, 634, 12718, 814, 513, 8006, 540, 476, 30548, 513, 4463, 540, 1547, 1403, 596, 29746, 519, 1216, 689, 519, 12718, 883, 519, 13409, 2394, 621, 568, 4904, 267, 1018, 4320, 540, 1216, 786, 2611, 538, 519, 12718, 2496, 15008, 1384, 272, 269, 4855, 519, 12531, 540, 519, 13409, 543, 12718, 1384, 290, 821, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 290, 2643, 5407, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 273, 269, 16265, 847, 519, 13409, 781, 4320, 689, 519, 12718, 781, 4320, 1384, 2162, 7151, 7726, 1948, 11793, 272, 2433, 2920, 4569, 692, 1432, 568, 519, 4320, 540, 513, 13409, 609, 513, 4463, 540, 476, 278, 4699, 543, 513, 8953, 540, 476, 275, 4699, 286, 23680, 707, 2626, 538, 2474, 540, 476, 30548, 607, 513, 6824, 952, 991, 581, 780, 15008, 1384, 2414, 1265, 519, 4320, 540, 513, 13409, 11690, 519, 8953, 543, 4463, 883, 519, 4542, 585, 519, 4320, 540, 513, 13409, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 7617, 540, 519, 1739, 786, 22712, 745, 921, 519, 4320, 540, 513, 13409, 2496, 273, 269, 8935, 17331, 519, 4463, 692, 272, 267, 476, 273, 543, 476, 274, 692, 273, 1152, 692, 272, 543, 476, 274, 692, 272, 1152, 692, 274, 1152, 692, 272, 543, 476, 274, 692, 15008, 1384, 289, 8960, 538, 2247, 519, 4320, 4542, 585, 513, 13409, 1384, 10303, 519, 4320, 9775, 676, 519, 4009, 540, 519, 8953, 267, 30945, 519, 8953, 786, 22712, 745, 921, 519, 4320, 630, 26238, 1547, 264, 5221, 519, 4320, 849, 9775, 31085, 676, 519, 4463, 267, 22712, 745, 7204, 519, 4463, 786, 22712, 745, 921, 519, 4320, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 1432, 568, 519, 4320, 540, 513, 13409, 609, 513, 8953, 540, 476, 30548, 513, 4463, 540, 7790, 23680, 707, 2626, 538, 2474, 540, 1109, 267, 2569, 782, 8454, 780, 15008, 1384, 2414, 1265, 519, 4320, 540, 513, 13409, 609, 8953, 1109, 267, 543, 4463, 1109, 1109, 2224, 519, 4542, 1384, 780, 2171, 11690, 538, 938, 2016, 8953, 543, 4463, 547, 1265, 1384, 2162, 7151, 7726, 1948, 1556, 2433, 1230, 525, 692, 288, 598, 673, 1957, 7484, 568, 1373, 1031, 607, 513, 2306, 31183, 1187, 6773, 585, 5179, 3282, 269, 1403, 519, 7484, 568, 476, 1911, 1109, 17524, 12281, 2620, 693, 519, 4099, 543, 814, 513, 8953, 540, 476, 3583, 1109, 17524, 12281, 267, 875, 1082, 12945, 28935, 540, 5179, 3282, 666, 621, 3180, 693, 835, 942, 286, 18471, 707, 3803, 2626, 547, 519, 14282, 8870, 780, 15008, 1384, 763, 4542, 585, 519, 4320, 540, 513, 13409, 568, 1384, 4415, 519, 1344, 649, 723, 267, 649, 666, 3274, 11690, 2418, 883, 713, 3830, 543, 4194, 780, 3383, 938, 13409, 666, 3180, 5111, 1109, 1109, 31957, 545, 28935, 540, 5179, 3282, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 8340, 519, 4320, 540, 513, 13409, 4171, 8006, 568, 476, 30548, 4463, 568, 16317, 15008, 1384, 2414, 1265, 519, 4320, 540, 513, 13409, 267, 3274, 946, 519, 1739, 4542, 269, 4935, 10484, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 8340, 519, 4320, 540, 513, 13409, 609, 8953, 476, 30548, 4463, 540, 16317, 15008, 1384, 2414, 4194, 3274, 946, 519, 4542, 585, 519, 2019, 6373, 540, 513, 13409, 269, 4935, 10484, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 1432, 568, 519, 4320, 540, 513, 13409, 609, 513, 8953, 540, 476, 274, 6515, 543, 513, 4463, 540, 476, 277, 6515, 286, 0, 258, 1215, 1454, 568, 476, 4649, 2600, 540, 8370, 4627, 692, 8794, 713, 1907, 596, 666, 1265, 1022, 6871, 538, 1614, 2081, 269, 1924, 267, 649, 1589, 596, 6603, 721, 3168, 585, 4267, 899, 281, 1548, 568, 476, 4649, 630, 4649, 8472, 2600, 630, 8472, 540, 8370, 4627, 630, 12010, 21663, 2107, 949, 581, 281, 1215, 1454, 568, 476, 4649, 2600, 540, 8370, 4627, 269, 6423, 519, 3435, 547, 891, 2042, 1175, 1310, 519, 6871, 9498, 2630, 780, 8450, 519, 3435, 547, 891, 2042, 1175, 1310, 519, 6871, 9498, 2630, 780, 1432, 568, 4939, 540, 26042, 12585, 281, 476, 12010, 692, 2162, 20587, 720, 18185, 476, 273, 692, 529, 1018, 2600, 540, 26042, 12585, 281, 4939, 692, 2162, 20587, 720, 18185, 476, 274, 692, 529, 4939, 540, 1018, 2496, 12585, 1384, 2252, 596, 616, 3168, 585, 513, 5494, 870, 18185, 267, 5225, 4945, 1934, 780, 1012, 1215, 547, 960, 856, 21159, 910, 5153, 676, 5153, 692, 2080, 616, 519, 3435, 547, 519, 2055, 7150, 1657, 1384, 2162, 476, 272, 264, 1548, 568, 476, 4649, 260, 540, 476, 12010, 2496, 29490, 946, 713, 4542, 547, 1265, 513, 6871, 1384, 260, 1315, 476, 1911, 815, 3487, 1315, 19940, 5372, 519, 2016, 2418, 1384, 4649, 1315, 476, 1911, 815, 3487, 1315, 476, 12010, 692, 15899, 9062, 1384, 4649, 1535, 476, 12010, 815, 476, 1911, 1535, 3487, 267, 610, 692, 275, 4817, 876, 815, 476, 1911, 1535, 3487, 692, 3086, 267, 7941, 676, 476, 1911, 543, 1205, 519, 2626, 1384, 8512, 815, 476, 275, 4817, 876, 1315, 476, 1911, 815, 476, 275, 4817, 692, 2162, 476, 273, 264, 476, 4649, 568, 1018, 2600, 540, 476, 12010, 2496, 8196, 1586, 519, 1482, 6871, 4542, 1384, 260, 1315, 476, 1911, 815, 3487, 1315, 19940, 5372, 519, 2016, 2418, 1384, 260, 1315, 476, 1911, 815, 476, 4649, 1315, 476, 12010, 692, 15899, 9062, 1384, 260, 1535, 476, 12010, 815, 476, 4649, 1535, 476, 1911, 692, 19667, 728, 676, 476, 12010, 543, 1205, 519, 6871, 1384, 260, 815, 476, 4649, 1535, 476, 1911, 1315, 476, 12010, 815, 476, 277, 269, 9340, 9340, 9340, 9340, 272, 260, 0, 271, 692, 258, 1215, 1082, 844, 11301, 616, 538, 476, 273, 269, 276, 6550, 2496, 24993, 281, 476, 1015, 270, 277, 270, 1708, 274, 692, 310, 5942, 14871, 692, 1015, 344, 3516, 692, 14085, 267, 2094, 972, 666, 581, 1100, 7503, 269, 589, 11013, 568, 513, 2268, 540, 2527, 269, 589, 14415, 568, 513, 2268, 540, 4320, 269, 634, 1079, 2268, 1114, 1919, 543, 267, 2687, 547, 2596, 3741, 540, 21021, 2079, 267, 7503, 689, 835, 547, 519, 824, 568, 711, 4570, 269, 6333, 513, 14415, 781, 4502, 540, 2011, 269, 1215, 1082, 6550, 286, 8921, 2015, 519, 1482, 4320, 540, 1291, 269, 1215, 1082, 6550, 286, 634, 13999, 540, 3160, 12531, 540, 519, 1079, 6878, 786, 5693, 581, 1360, 1114, 269, 1924, 972, 568, 1100, 1463, 7503, 1063, 2527, 543, 4320, 281, 596, 991, 547, 917, 519, 5860, 540, 519, 6219, 547, 5512, 596, 547, 4163, 856, 519, 7503, 780, 310, 5942, 14871, 692, 279, 344, 3516, 692, 310, 5942, 14871, 692, 1015, 344, 3516, 692, 2467, 616, 476, 272, 269, 276, 844, 11301, 538, 476, 273, 269, 276, 6550, 269, 476, 272, 14415, 568, 3160, 547, 476, 275, 11680, 543, 476, 272, 7484, 568, 3160, 547, 476, 279, 13728, 780, 310, 5942, 14871, 692, 1428, 344, 3516, 692, 6546, 786, 4096, 2390, 1018, 519, 1587, 568, 269, 1879, 596, 616, 6158, 827, 1216, 267, 476, 276, 269, 276, 844, 11301, 786, 9260, 827, 476, 1556, 6550, 780, 310, 5942, 14871, 692, 279, 344, 3516, 692, 2467, 568, 1100, 1463, 6476, 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 ]
[ 2740, 267, 8254, 2029, 23384, 513, 20381, 6521, 269, 901, 3296, 786, 5490, 883, 519, 1883, 2934, 543, 16551, 602, 21656, 3059, 12514, 267, 4259, 873, 6306, 689, 741, 12746, 13413, 563, 3080, 540, 519, 1034, 2565, 3344, 540, 3059, 12514, 568, 519, 1297, 540, 19251, 777, 1460, 1564, 789, 4865, 269, 23729, 777, 1460, 1564, 267, 2110, 585, 968, 332, 11669, 19641, 2223, 2099, 519, 6571, 540, 519, 8254, 779, 9300, 269, 634, 2362, 519, 19251, 777, 31242, 1293, 267, 519, 811, 1469, 513, 8254, 666, 7001, 543, 519, 3677, 621, 666, 1820, 2592, 1510, 9561, 2298, 563, 5194, 2629, 3815, 568, 519, 2450, 540, 519, 8254, 779, 9300, 269, 32190, 2450, 4249, 513, 1713, 1909, 538, 8159, 519, 3239, 2298, 267, 6422, 2039, 267, 543, 1970, 2000, 697, 2773, 540, 513, 3059, 8254, 269, 700, 24147, 8596, 267, 971, 607, 1346, 1336, 538, 2407, 1922, 9347, 667, 20784, 20745, 543, 11604, 1652, 12514, 267, 3335, 3132, 1732, 3239, 2298, 543, 2539, 6846, 2157, 982, 4130, 8596, 563, 3041, 302, 8417, 267, 849, 1634, 607, 4670, 3432, 267, 3800, 513, 8254, 779, 8417, 547, 1769, 269, 7913, 12514, 2709, 28253, 18869, 5468, 267, 3850, 3755, 547, 1852, 519, 8254, 779, 8417, 547, 1769, 538, 1585, 15246, 2175, 269, 14451, 18869, 5468, 5512, 15246, 538, 1970, 2000, 697, 5054, 267, 855, 789, 949, 6338, 811, 6846, 610, 10286, 538, 519, 3239, 563, 8505, 1993, 1371, 1949, 723, 7960, 13497, 538, 3059, 12514, 267, 609, 1082, 4359, 3631, 10023, 2789, 1445, 2798, 543, 10427, 6620, 269, 1452, 1949, 5512, 5488, 543, 811, 4977, 2519, 267, 1256, 593, 3001, 5396, 267, 5355, 519, 2949, 8325, 1145, 543, 6111, 540, 519, 9676, 2592, 563, 4537, 13616, 17726, 543, 589, 13630, 675, 454, 19445, 12514, 1450, 585, 3152, 1852, 936, 9505, 614, 3432, 543, 27934, 5468, 267, 3850, 21706, 547, 7001, 2592, 609, 3152, 3860, 1852, 269, 1744, 13616, 3432, 8060, 519, 8653, 540, 519, 4598, 267, 7175, 16171, 3728, 2173, 8221, 5396, 610, 2870, 5163, 20747, 2360, 269, 589, 13630, 675, 8060, 519, 2179, 540, 1769, 10024, 519, 8254, 267, 12018, 3178, 540, 2361, 543, 4282, 20747, 563, 6624, 3059, 12514, 267, 3226, 1346, 609, 1279, 7658, 874, 9369, 14485, 610, 538, 1970, 2000, 697, 2175, 267, 4324, 689, 3239, 32278, 2029, 269, 12005, 32278, 6127, 948, 25559, 8254, 21199, 267, 7175, 5857, 704, 1688, 18988, 2592, 543, 14887, 9505, 614, 11250, 1510, 27531, 3239, 2298, 563, 1805, 4392, 543, 11711, 4813, 1846, 454, 19445, 12514, 2709, 1585, 4859, 3681, 267, 1519, 12676, 6486, 267, 18435, 6486, 267, 543, 4835, 3965, 269, 20305, 666, 3442, 519, 4859, 4390, 1759, 593, 741, 2115, 543, 6578, 269, 3958, 267, 3059, 12514, 1489, 513, 2039, 540, 3758, 12043, 267, 971, 607, 31179, 9680, 267, 17241, 310, 267, 543, 570, 9281, 293, 267, 1142, 609, 922, 1378, 5383, 543, 3156, 563, 289, 19495, 5020, 543, 5295, 18169, 454, 289, 19495, 1272, 568, 606, 1898, 7156, 585, 3059, 8254, 3755, 267, 607, 1082, 12514, 7048, 593, 9075, 585, 1379, 269, 2368, 12514, 2709, 6905, 6007, 1272, 610, 18593, 1379, 24502, 547, 13918, 6905, 15246, 7886, 269, 3958, 267, 1082, 3059, 12514, 1489, 5007, 1379, 2959, 267, 971, 607, 18292, 9075, 610, 8028, 740, 9532, 267, 585, 3773, 13418, 563, 4322, 1883, 2934, 543, 16551, 540, 3059, 12514, 1305, 873, 6306, 689, 741, 12746, 13413, 543, 1683, 21706, 609, 3152, 1852, 543, 8112, 538, 13830, 1164, 7779, 2592, 563, 15862, 8596, 616, 513, 2565, 5057, 540, 3059, 12514, 267, 3743, 585, 13830, 543, 14291, 1769, 883, 3059, 6786, 269, 1452, 8596, 616, 7768, 540, 6634, 540, 19641, 267, 1142, 540, 799, 5638, 513, 1507, 6712, 540, 519, 2949, 3239, 563, 1692, 12005, 11576, 832, 4518, 454, 15862, 8596, 960, 676, 1210, 513, 1184, 1572, 2584, 617, 1675, 324, 5044, 269, 7353, 617, 1675, 525, 616, 19202, 2326, 602, 616, 6213, 547, 1769, 269, 1879, 1769, 16125, 519, 2584, 617, 1675, 525, 267, 621, 3123, 9211, 547, 581, 5950, 267, 2870, 606, 5122, 5365, 602, 666, 581, 6027, 543, 10736, 883, 3059, 1239, 563, 15650, 540, 12005, 11576, 832, 454, 2467, 616, 1079, 1292, 2010, 540, 3239, 8596, 281, 595, 7374, 630, 2419, 1618, 4211, 537, 9482, 27620, 264, 543, 18328, 5308, 630, 4467, 921, 29232, 19045, 14114, 343, 728, 4149, 2438, 13503, 528, 1040, 595, 7374, 8596, 941, 519, 1101, 1826, 540, 3239, 9300, 1031, 538, 3059, 12514, 543, 616, 1869, 1031, 2221, 538, 930, 3318, 17263, 12514, 269, 18328, 5308, 8596, 616, 811, 4122, 1031, 538, 7082, 17263, 12514, 1813, 547, 741, 2539, 1942, 543, 2362, 1648, 4398, 563, 26794, 543, 32539, 540, 12005, 11576, 832, 454, 3080, 540, 519, 1292, 5383, 540, 3239, 8596, 568, 741, 2702, 547, 7001, 513, 2647, 2039, 540, 1769, 2157, 267, 1818, 873, 4998, 585, 1970, 2000, 697, 10344, 269, 3958, 267, 3239, 8596, 616, 2111, 547, 7001, 2592, 3533, 267, 1818, 873, 1134, 25252, 1243, 585, 2962, 10344, 269, 1717, 267, 3239, 8596, 666, 581, 811, 7199, 982, 824, 3334, 540, 3059, 12514, 267, 543, 949, 581, 811, 11630, 547, 6846, 538, 1970, 2000, 697, 2175, 563, 1103, 3932, 267, 3239, 8596, 1404, 513, 2629, 1909, 538, 3059, 12514, 267, 3850, 585, 519, 7001, 543, 7503, 540, 1769, 883, 3059, 1239, 269, 2755, 972, 616, 5383, 543, 11393, 547, 1210, 3239, 8596, 267, 789, 2611, 513, 2565, 5057, 538, 519, 1646, 540, 3059, 10344, 2029, 563, 1103, 519, 1158, 540, 3059, 10344, 267, 519, 7828, 1062, 4249, 513, 2629, 1909, 538, 8159, 519, 2298, 540, 519, 3239, 3812, 269, 589, 7828, 1062, 568, 3743, 585, 2519, 1769, 5196, 519, 8254, 779, 9300, 267, 543, 519, 2298, 540, 519, 7828, 666, 723, 513, 1713, 1764, 593, 519, 8325, 1145, 267, 9355, 267, 543, 2949, 2298, 540, 519, 3239, 563, 2467, 616, 1896, 1883, 2188, 547, 2015, 950, 621, 2501, 547, 7828, 1949, 538, 3059, 12514, 269, 2290, 540, 519, 1034, 1271, 568, 519, 1297, 540, 2609, 1031, 538, 519, 7828, 269, 589, 7828, 609, 811, 2609, 568, 3622, 2111, 547, 2953, 585, 811, 2010, 540, 23673, 543, 3132, 513, 5857, 704, 3239, 269, 1717, 267, 513, 7828, 609, 1932, 1082, 2609, 666, 849, 6338, 3606, 9804, 2152, 267, 971, 607, 6985, 1738, 32623, 1674, 563, 5194, 1271, 3815, 568, 519, 1826, 540, 4837, 1031, 538, 519, 7828, 269, 4400, 7779, 4837, 568, 2111, 547, 2569, 6985, 1738, 32623, 1674, 543, 824, 2010, 540, 23673, 267, 4611, 538, 2592, 602, 616, 20501, 543, 811, 4977, 269, 2368, 14485, 849, 4183, 2027, 23541, 610, 12086, 602, 948, 547, 2569, 1350, 732, 543, 2087, 2949, 3239, 2298, 563, 1103, 1840, 547, 519, 1297, 540, 2609, 543, 1826, 540, 4837, 1031, 267, 519, 1374, 540, 519, 7828, 1062, 568, 849, 2565, 269, 7756, 7828, 6272, 616, 20979, 585, 1114, 2010, 540, 10344, 267, 971, 607, 2647, 268, 4120, 610, 7658, 874, 9369, 15833, 269, 634, 1374, 540, 519, 7828, 666, 849, 1860, 519, 2949, 2450, 543, 2597, 540, 519, 8254, 267, 607, 1134, 607, 519, 3902, 563, 14454, 267, 519, 7828, 1062, 568, 513, 2565, 5057, 540, 1022, 3059, 8254, 267, 543, 1620, 519, 1883, 2188, 602, 3565, 547, 922, 2773, 666, 948, 21706, 1118, 5483, 3664, 950, 7446, 513, 8254, 543, 7828, 4999, 269, 6787, 596, 2461, 513, 3318, 23031, 610, 3274, 513, 15908, 626, 267, 2921, 519, 942, 547, 1174, 519, 7828, 1062, 568, 1898, 585, 8236, 519, 1655, 2009, 2164, 538, 707, 10344, 563, 8505, 1993, 1371, 1949, 723, 19117, 519, 1259, 21706, 7001, 2592, 269, 13405, 547, 519, 4417, 540, 3059, 12514, 267, 8261, 1445, 729, 519, 2343, 267, 8506, 21706, 547, 16924, 4188, 519, 1445, 540, 741, 14485, 547, 3035, 8325, 1445, 269, 2060, 519, 1646, 540, 1313, 1993, 1371, 2029, 267, 12514, 616, 1631, 2111, 547, 8850, 4188, 519, 1445, 540, 519, 7828, 267, 1818, 621, 4443, 585, 21706, 547, 7001, 8325, 2592, 563, 2467, 616, 1896, 1114, 2010, 540, 1313, 1993, 1371, 1949, 1031, 538, 3059, 12514, 267, 1142, 609, 741, 1378, 5383, 543, 11393, 269, 634, 1034, 1455, 2010, 540, 1313, 1993, 1371, 1949, 1331, 912, 268, 18001, 1673, 564, 1254, 1313, 1993, 1371, 630, 303, 6395, 293, 2567, 901, 1826, 540, 1313, 1993, 1371, 1062, 3096, 513, 2027, 9300, 547, 3713, 519, 5123, 540, 519, 1769, 4947, 998, 519, 7828, 543, 4188, 519, 1445, 9935, 269, 623, 6395, 293, 1949, 616, 3622, 5488, 543, 811, 4977, 982, 824, 2010, 540, 1313, 1993, 1371, 1949, 563, 268, 25037, 1673, 564, 1254, 1313, 1993, 1371, 630, 290, 6395, 293, 2567, 901, 1826, 540, 1313, 1993, 1371, 1062, 19776, 519, 4334, 540, 519, 3239, 609, 519, 3239, 3144, 538, 519, 3105, 7406, 547, 3313, 519, 1655, 1445, 1448, 269, 595, 6395, 293, 1949, 616, 3622, 14887, 543, 1447, 4977, 982, 623, 6395, 293, 1949, 267, 855, 789, 616, 811, 1379, 18026, 543, 666, 960, 609, 513, 9962, 2039, 540, 14485, 563, 268, 28628, 1313, 1993, 1371, 281, 901, 1826, 540, 1313, 1993, 1371, 1062, 10905, 2609, 540, 1312, 623, 6395, 293, 543, 595, 6395, 293, 1949, 547, 1683, 3728, 543, 4977, 1313, 1993, 1371, 269, 28628, 1313, 1993, 1371, 1949, 616, 4122, 1031, 538, 11604, 1652, 12514, 563, 1103, 1840, 547, 891, 1114, 2010, 540, 1313, 1993, 1371, 1949, 267, 972, 616, 849, 1114, 1313, 1993, 1371, 12331, 602, 21706, 666, 946, 4470, 593, 741, 2115, 269, 1452, 1331, 912, 268, 17266, 6879, 582, 1313, 1993, 1371, 281, 901, 7154, 568, 1031, 950, 519, 1641, 568, 19335, 543, 519, 8254, 568, 11329, 693, 513, 2582, 1448, 563, 268, 23120, 1313, 1993, 1371, 281, 901, 7154, 568, 1031, 950, 519, 1641, 568, 3001, 543, 519, 8254, 2115, 547, 11179, 4188, 519, 1445, 547, 1832, 519, 1641, 538, 1445, 563, 268, 15015, 1445, 936, 20183, 281, 901, 7154, 2636, 519, 23031, 547, 16924, 4188, 519, 1445, 540, 519, 7828, 1256, 950, 519, 8254, 568, 538, 1313, 1993, 1371, 7154, 563, 14454, 267, 1313, 1993, 1371, 1949, 723, 7494, 4824, 519, 6111, 543, 3432, 540, 2519, 538, 3059, 12514, 267, 1818, 621, 4443, 585, 21706, 547, 7001, 8325, 2592, 538, 513, 3099, 540, 3871, 563, 15862, 14409, 543, 30433, 22159, 454, 15862, 4393, 543, 6846, 5786, 616, 1079, 540, 519, 1034, 1713, 7760, 538, 3059, 8254, 2029, 269, 1452, 2934, 1450, 21706, 547, 7001, 1164, 7779, 2592, 609, 3152, 8897, 543, 8856, 563, 15862, 4393, 4016, 547, 519, 1585, 6620, 543, 2553, 1031, 547, 3986, 543, 13861, 3059, 2592, 269, 901, 2882, 14577, 21386, 267, 4334, 267, 25294, 267, 543, 2681, 3666, 267, 607, 1134, 607, 9427, 20541, 687, 971, 607, 7452, 9634, 543, 6985, 1738, 32623, 1674, 269, 12005, 4393, 666, 849, 581, 1031, 547, 2953, 4598, 2152, 267, 32260, 2592, 267, 543, 4894, 6846, 563, 5591, 1047, 5786, 568, 519, 1184, 540, 9427, 13311, 6846, 689, 3059, 2592, 269, 901, 568, 3226, 1271, 538, 1970, 2000, 697, 2175, 267, 1141, 3059, 12514, 4043, 547, 3132, 811, 6846, 269, 30433, 5786, 666, 581, 6913, 998, 513, 3099, 540, 2409, 267, 1519, 3301, 6620, 543, 8800, 3334, 563, 3080, 540, 519, 1034, 2442, 2409, 540, 6846, 5786, 568, 547, 2333, 519, 9300, 2450, 610, 547, 946, 513, 3677, 9300, 8254, 269, 901, 2636, 585, 811, 1769, 547, 581, 9676, 676, 519, 8254, 267, 799, 538, 2490, 6971, 519, 2179, 540, 6846, 538, 519, 3239, 269, 6271, 1505, 568, 547, 946, 2362, 18869, 5468, 267, 799, 666, 849, 2569, 6846, 267, 855, 949, 1267, 538, 2539, 3239, 2298, 563, 25413, 2264, 6620, 666, 849, 581, 1031, 547, 2569, 6846, 538, 3059, 2592, 269, 1452, 6620, 5659, 519, 3239, 1239, 543, 2697, 2127, 540, 6846, 267, 799, 666, 1287, 581, 6569, 610, 4389, 269, 901, 666, 581, 2944, 998, 1585, 2553, 267, 971, 607, 5347, 532, 610, 19011, 1645, 563, 14454, 267, 3239, 4393, 543, 6846, 5786, 616, 2629, 2934, 538, 3059, 8254, 2029, 267, 3850, 21706, 547, 7001, 1164, 7779, 2592, 609, 3152, 8897, 543, 8856, 563, 289, 19495, 5020, 543, 19554, 27519, 454, 1103, 519, 2085, 540, 3059, 10344, 267, 6007, 1272, 543, 4859, 4390, 723, 1831, 2629, 2188, 547, 2015, 950, 11449, 513, 8254, 269, 634, 4417, 540, 3059, 12514, 814, 3366, 547, 513, 1713, 6454, 538, 6007, 1272, 267, 3850, 21706, 547, 7001, 811, 2592, 1510, 519, 991, 585, 7928, 6007, 5372, 906, 269, 1717, 267, 519, 4390, 540, 519, 4859, 5420, 3788, 513, 2565, 7156, 585, 21706, 945 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 795, 264, 7481, 7386, 1247, 7023, 912, 13376, 678, 267, 524, 815, 7023, 4877, 963, 1111, 4590, 13376, 585, 1535, 267, 586, 538, 16733, 272, 267, 476, 271, 1070, 11196, 272, 267, 476, 271, 1070, 630, 271, 267, 910, 272, 1070, 630, 271, 267, 476, 272, 15892, 23351, 533, 267, 7117, 815, 678, 1341, 1535, 267, 524, 1341, 586, 454, 23351, 952, 476, 271, 10922, 533, 2999, 544, 543, 476, 271, 10922, 7117, 2999, 562, 543, 7470, 314, 335, 6012, 336, 316, 2652, 1412, 272, 12466, 4449, 3546, 7023, 6910, 9230, 335, 267, 7117, 4917, 4449, 3546, 7470, 314, 335, 6012, 336, 316, 815, 1412, 271, 7055, 1038, 2132, 1293, 692, 0, 3698, 1505, 23919, 318, 842, 318, 935, 3200, 25225, 2187, 825, 5727, 19686, 835, 267, 946, 5569, 2999, 15010, 703, 7503, 454, 825, 476, 272, 269, 22417, 5569, 547, 703, 267, 1210, 4786, 1599, 454, 825, 476, 273, 269, 9578, 835, 547, 703, 454, 825, 476, 274, 269, 22417, 703, 1394, 547, 5569, 692, 825, 5384, 6988, 281, 744, 3799, 994, 825, 6611, 6988, 281, 562, 454, 825, 8173, 825, 562, 815, 703, 3488, 8339, 21860, 9852, 777, 19304, 267, 15358, 30727, 1341, 476, 272, 454, 825, 1948, 22417, 703, 1394, 547, 1193, 454, 825, 1193, 5332, 815, 1496, 842, 3287, 264, 585, 1535, 538, 1193, 3799, 22708, 825, 2132, 1193, 5332, 7531, 3698, 1505, 23631, 15479, 633, 5560, 580, 1080, 2187, 825, 5727, 19686, 1079, 267, 946, 25276, 454, 825, 476, 272, 269, 6744, 519, 2063, 7857, 267, 952, 1447, 982, 476, 280, 267, 3274, 7132, 835, 454, 825, 476, 273, 269, 7435, 548, 519, 2241, 946, 2013, 950, 9704, 815, 1496, 280, 454, 825, 476, 274, 269, 1234, 15479, 633, 593, 9704, 314, 271, 18737, 272, 6540, 825, 5384, 6988, 281, 744, 3799, 994, 825, 6611, 6988, 281, 562, 454, 825, 8173, 825, 952, 9704, 15631, 272, 316, 2999, 476, 280, 912, 1038, 9704, 15631, 272, 316, 6834, 476, 272, 454, 1038, 2132, 9704, 454, 825, 8640, 7003, 5560, 580, 1080, 264, 2652, 476, 272, 543, 9704, 314, 271, 316, 2652, 476, 280, 912, 1038, 2132, 1496, 272, 267, 476, 271, 2639, 825, 3116, 912, 1038, 9704, 15631, 272, 316, 815, 476, 271, 454, 1038, 9704, 314, 271, 18737, 272, 316, 815, 1582, 269, 15200, 3080, 5560, 580, 1080, 314, 271, 18737, 272, 7481, 1038, 2132, 9704, 7531, 3698, 1505, 318, 31467, 5560, 580, 1080, 2187, 825, 5727, 19686, 1614, 267, 946, 1247, 8520, 454, 825, 476, 272, 269, 23453, 476, 271, 693, 519, 1917, 1456, 267, 538, 2013, 649, 723, 1496, 280, 267, 476, 280, 907, 2639, 825, 476, 273, 269, 6744, 2063, 7857, 267, 952, 1447, 982, 476, 280, 267, 3274, 7132, 835, 454, 825, 476, 274, 269, 1403, 519, 2063, 7857, 568, 476, 280, 267, 1305, 621, 547, 476, 271, 267, 543, 1039, 4163, 692, 825, 5384, 6988, 281, 744, 3799, 994, 825, 6611, 6988, 281, 562, 454, 825, 8173, 825, 9704, 27044, 263, 271, 267, 476, 271, 994, 825, 1948, 31230, 998, 519, 1592, 689, 519, 1439, 454, 825, 1775, 815, 7003, 5560, 580, 1080, 264, 910, 476, 272, 454, 825, 1247, 1775, 13843, 476, 271, 912, 1038, 1948, 1403, 519, 7857, 568, 1447, 982, 476, 280, 267, 1175, 7132, 835, 454, 1038, 952, 9704, 5157, 316, 2999, 476, 280, 912, 2018, 9704, 5157, 316, 6834, 476, 272, 454, 2018, 2736, 454, 1038, 3116, 912, 2018, 1948, 5590, 7857, 547, 476, 271, 267, 543, 682, 2801, 341, 519, 4163, 547, 519, 1985, 561, 31463, 21767, 454, 2018, 9704, 5157, 316, 815, 476, 271, 454, 2018, 1775, 20699, 476, 272, 454, 825, 952, 9704, 314, 271, 316, 2652, 476, 271, 912, 1038, 9704, 21014, 263, 271, 994, 825, 2132, 9704, 7531, 5035, 8827, 912, 825, 1219, 7132, 3080, 4311, 267, 9704, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 2132, 1505, 23919, 318, 842, 318, 935, 3200, 5560, 580, 1080, 994, 0, 3698, 1505, 318, 821, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 795, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 5157, 316, 11203, 476, 271, 912, 2018, 15358, 14728, 3910, 15358, 5157, 316, 815, 15358, 5157, 3910, 15358, 14728, 2639, 1038, 795, 6834, 476, 272, 454, 825, 2132, 15358, 7531, 3698, 1505, 4671, 6851, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 317, 273, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 5157, 316, 2652, 476, 271, 912, 2018, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 7003, 25225, 15892, 3546, 952, 15358, 14728, 316, 11203, 476, 271, 912, 7386, 15358, 5157, 3910, 15358, 14728, 316, 815, 15358, 14728, 3910, 15358, 5157, 2639, 7386, 2736, 454, 825, 2132, 15358, 7531, 3698, 1505, 318, 22764, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 585, 562, 538, 15358, 912, 1038, 952, 562, 2652, 476, 271, 912, 2018, 15358, 31927, 263, 271, 994, 2018, 15358, 6910, 263, 271, 994, 825, 2132, 15358, 7531, 3698, 1505, 6958, 712, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 795, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 5157, 316, 11203, 476, 271, 912, 2018, 15358, 14728, 316, 815, 15358, 5157, 2639, 2018, 795, 6834, 476, 272, 692, 825, 1247, 795, 2999, 7003, 25225, 2187, 1038, 15358, 14728, 316, 815, 476, 271, 454, 1038, 795, 6834, 476, 272, 7531, 5035, 8827, 912, 825, 1219, 1847, 313, 3266, 525, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 795, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 5157, 316, 11203, 476, 271, 912, 3546, 15358, 5157, 3910, 15358, 14728, 316, 815, 15358, 14728, 3910, 15358, 5157, 2639, 3546, 795, 6834, 476, 272, 454, 1038, 2132, 15358, 454, 0, 12163, 7069, 575, 527, 1504, 912, 476, 910, 4179, 2517, 1952, 3052, 527, 1504, 2593, 270, 287, 2023, 2643, 1460, 340, 4882, 270, 548, 564, 13892, 7933, 29174, 3491, 13559, 2719, 270, 4226, 268, 6016, 725, 270, 5002, 268, 272, 11607, 516, 2091, 1532, 1080, 454, 20701, 5035, 8827, 912, 825, 1219, 9258, 289, 1080, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 2132, 1582, 269, 4226, 8548, 913, 3799, 2020, 825, 1219, 3787, 8548, 913, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 6611, 6988, 281, 744, 263, 272, 994, 1038, 8173, 1038, 20735, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 3953, 2187, 2018, 20735, 815, 630, 753, 24177, 476, 272, 264, 1341, 630, 333, 1299, 476, 272, 994, 2018, 562, 23645, 284, 476, 272, 454, 1038, 2132, 20735, 692, 825, 1219, 3787, 8548, 913, 273, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 6611, 6988, 281, 744, 263, 272, 994, 1038, 8173, 1038, 20735, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 3953, 2187, 2018, 20735, 6834, 630, 333, 1299, 476, 272, 264, 24177, 630, 4029, 910, 1775, 994, 2018, 562, 23645, 284, 476, 272, 454, 1038, 2132, 20735, 692, 825, 1219, 946, 318, 842, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 18217, 994, 1038, 6611, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 8173, 1038, 3787, 23919, 815, 1412, 346, 271, 281, 271, 3953, 321, 348, 8339, 8971, 3799, 994, 1038, 2132, 703, 263, 4226, 23919, 11468, 18737, 272, 3910, 3490, 284, 273, 2020, 825, 1219, 946, 318, 842, 273, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 18217, 994, 1038, 6611, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 8173, 1038, 536, 815, 10822, 3799, 264, 11468, 272, 18737, 272, 2639, 1038, 2132, 703, 6357, 1341, 1412, 271, 262, 2608, 630, 3953, 910, 7003, 6357, 24270, 476, 273, 264, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 5035, 10055, 24998, 2187, 825, 8173, 825, 29635, 368, 355, 9463, 371, 32352, 454, 825, 2179, 15159, 419, 378, 492, 30317, 19404, 495, 30903, 507, 454, 825, 476, 30244, 14748, 32352, 16533, 365, 15159, 12916, 510, 23746, 23284, 419, 506, 489, 28996, 12916, 510, 7511, 420, 368, 355, 16043, 371, 19404, 490, 30837, 351, 20069, 14035, 504, 16533, 495, 419, 378, 492, 30317, 8147, 29004, 351, 28997, 501, 29873, 32512, 418, 364, 495, 27747, 479, 9463, 486, 15159, 14035, 504, 16533, 495, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 2557, 2187, 1038, 1582, 14857, 600, 339, 284, 271, 454, 1038, 1582, 269, 3433, 815, 2557, 454, 1038, 8173, 1038, 476, 30244, 19404, 490, 7511, 1029, 600, 339, 21251, 418, 481, 367, 28884, 10254, 360, 32512, 18777, 379, 25426, 362, 8147, 19867, 478, 23284, 31176, 491, 30837, 351, 20693, 510, 29072, 31284, 10254, 496, 419, 374, 379, 15159, 26175, 479, 20069, 7511, 8147, 421, 375, 502, 18777, 353, 15159, 271, 454, 1038, 13127, 353, 500, 30837, 351, 20069, 28098, 10524, 500, 13213, 505, 27310, 420, 369, 489, 29219, 454, 1038, 29185, 825, 7711, 27393, 1399, 454, 825, 1219, 2179, 4311, 2187, 1038, 5727, 420, 368, 355, 9463, 371, 12916, 503, 30903, 507, 27818, 419, 378, 492, 30317, 24724, 12163, 1038, 2132, 1582, 14857, 600, 339, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 524, 5500, 4311, 2187, 1038, 5727, 420, 368, 355, 9463, 371, 12916, 503, 30903, 507, 27818, 32512, 418, 364, 495, 27747, 479, 24724, 12163, 1038, 2132, 1582, 14857, 600, 339, 2608, 1582, 269, 3433, 692, 825, 7711, 26920, 15630, 614, 454, 825, 1219, 2179, 4311, 267, 7407, 2187, 1038, 952, 1871, 283, 271, 912, 2018, 1820, 2891, 28989, 267, 1100, 2942, 2179, 538, 519, 2272, 23528, 2018, 2132, 454, 1038, 1582, 14857, 600, 339, 284, 7407, 454, 1038, 5727, 30244, 19404, 490, 23746, 23284, 419, 506, 489, 28996, 417, 28187, 31563, 12916, 510, 7511, 19404, 495, 30903, 507, 16533, 493, 30678, 271, 8147, 25263, 504, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 419, 378, 492, 30317, 7511, 29219, 454, 1038, 29635, 352, 483, 421, 354, 364, 417, 503, 357, 21251, 419, 509, 354, 421, 479, 497, 10524, 478, 18263, 486, 418, 482, 493, 26233, 507, 454, 1038, 476, 12916, 484, 15159, 21550, 373, 29004, 362, 14756, 497, 31563, 18021, 498, 13644, 354, 15159, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 420, 368, 355, 16043, 371, 14395, 508, 30522, 483, 12916, 503, 30903, 507, 8147, 417, 28187, 31563, 23523, 501, 28996, 7511, 29219, 15159, 420, 368, 509, 12255, 7511, 13644, 507, 454, 1038, 29185, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 934, 284, 28398, 263, 3433, 284, 277, 269, 277, 994, 825, 934, 269, 26920, 15871, 736, 454, 825, 1820, 2891, 291, 20683, 2179, 281, 14307, 3147, 269, 26920, 994, 825, 1820, 2891, 1103, 595, 29369, 281, 14307, 3147, 6983, 5500, 994, 825, 934, 269, 26920, 15871, 1911, 454, 825, 1820, 2891, 291, 20683, 2179, 281, 14307, 3147, 269, 26920, 994, 0, 10852, 18360, 815, 834, 1492, 2656, 6960, 16541, 29860, 936, 519, 27823, 2915, 269, 519, 2915, 11739, 696, 936, 519, 2357, 663, 1695, 4799, 328, 284, 271, 454, 2908, 23919, 17342, 2639, 6112, 1775, 2999, 7003, 9852, 664, 18360, 2187, 14851, 1292, 18360, 5157, 316, 2525, 257, 1478, 13426, 453, 453, 19874, 454, 453, 453, 5417, 284, 10852, 18360, 5157, 2639, 453, 453, 2908, 23919, 6910, 263, 5417, 994, 453, 328, 284, 328, 266, 272, 454, 2745, 28956, 23919, 994, 0, 3698, 1039, 20311, 8217, 5416, 14720, 2187, 453, 328, 815, 476, 271, 454, 453, 6112, 1775, 2999, 7003, 17338, 272, 2187, 453, 453, 5417, 20311, 815, 513, 5157, 316, 1341, 536, 5157, 2639, 453, 13537, 263, 5417, 20311, 994, 453, 453, 328, 815, 1775, 1341, 476, 272, 454, 4289, 272, 815, 1496, 736, 267, 476, 4375, 267, 476, 3393, 2639, 4289, 273, 815, 1496, 3451, 267, 476, 4510, 267, 476, 2420, 2639, 5417, 20311, 8217, 17338, 272, 267, 4289, 273, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24639, 294, 2752, 6730, 5254, 24086, 28960, 19851, 6020, 2464, 454, 8893, 476, 275, 6261, 4953, 4629, 4041, 9331, 6730, 27946, 4629, 595, 4047, 300, 13965, 28960, 19851, 6020, 2464, 454, 8893, 476, 276, 6363, 308, 5085, 6730, 28960, 19851, 6020, 3201, 717, 3008, 2464, 0, 6930, 495, 357, 6930, 493, 376, 6930, 496, 375, 1548, 568, 667, 2570, 1890, 769, 20287, 414, 507, 497, 11588, 414, 507, 497, 25363, 7695, 10613, 414, 507, 497, 347, 609, 8943, 6201, 454, 17098, 11570, 26461, 489, 269, 769, 713, 2376, 267, 649, 3580, 2911, 827, 667, 2570, 1890, 769, 20287, 269, 1284, 3580, 1413, 585, 4267, 540, 930, 2055, 971, 607, 1548, 568, 519, 667, 2570, 1890, 769, 20287, 414, 507, 497, 4208, 649, 1058, 1416, 827, 621, 414, 507, 497, 11588, 414, 507, 497, 1548, 616, 519, 2409, 547, 2936, 14192, 414, 507, 497, 454, 1103, 519, 1483, 1158, 267, 649, 991, 930, 2645, 267, 3615, 267, 1919, 585, 11264, 930, 4247, 269, 1924, 1247, 649, 20592, 519, 1483, 1158, 547, 5752, 607, 3615, 649, 991, 930, 824, 3615, 585, 3257, 930, 1919, 269, 1924, 585, 11264, 938, 1292, 2816, 649, 4096, 593, 930, 824, 3615, 267, 3157, 267, 29782, 3092, 269, 2334, 779, 4010, 1018, 21341, 568, 563, 291, 2570, 1890, 568, 930, 2838, 1843, 8320, 799, 649, 4096, 593, 873, 1299, 649, 991, 873, 538, 1931, 547, 11264, 1474, 996, 902, 563, 2690, 3236, 282, 538, 519, 1483, 1158, 513, 17354, 2115, 547, 29477, 499, 267, 9462, 496, 375, 267, 9517, 292, 630, 4754, 1406, 1265, 900, 334, 10202, 9462, 502, 488, 1040, 2755, 20592, 713, 17354, 547, 5752, 267, 519, 17354, 1362, 814, 547, 723, 873, 269, 769, 519, 1657, 1362, 267, 519, 3763, 518, 1362, 2115, 513, 24334, 1362, 3236, 267, 513, 8950, 1362, 3236, 267, 606, 9517, 292, 1362, 3236, 543, 952, 2877, 865, 593, 2507, 769, 519, 1657, 1362, 6995, 2073, 2780, 543, 7471, 28319, 5319, 341, 616, 29444, 563, 1103, 713, 1505, 267, 519, 1362, 5932, 2877, 29444, 676, 3294, 269, 1280, 3236, 1657, 3763, 518, 1362, 5932, 543, 3355, 3278, 922, 29444, 6995, 267, 2780, 267, 7471, 28319, 5319, 341, 676, 3294, 563, 1103, 713, 1505, 267, 29444, 616, 22280, 689, 3544, 540, 519, 1362, 883, 519, 1362, 269, 1306, 596, 1294, 538, 519, 2630, 267, 519, 1362, 13668, 922, 2877, 29444, 1247, 621, 781, 1373, 2813, 563, 291, 2570, 1890, 769, 915, 687, 568, 513, 1374, 4806, 602, 2636, 721, 547, 5094, 519, 5137, 543, 946, 540, 29444, 269, 898, 1450, 721, 547, 4383, 29444, 3362, 563, 3528, 713, 267, 649, 666, 7630, 2838, 29444, 693, 2196, 6066, 3079, 540, 2870, 873, 538, 519, 2877, 1362, 269, 4746, 267, 621, 568, 519, 6388, 540, 667, 2570, 1890, 769, 11437, 2443, 25663, 2839, 779, 476, 276, 628, 6240, 2443, 4586, 20236, 14716, 568, 3833, 2241, 269, 3143, 2462, 3646, 610, 3790, 269, 1656, 849, 519, 1292, 1362, 2443, 19838, 269, 9041, 14946, 518, 2443, 9041, 5035, 814, 2407, 1852, 936, 875, 543, 950, 547, 1711, 29444, 269, 1809, 814, 930, 931, 607, 2630, 3248, 268, 898, 3423, 919, 547, 17266, 26930, 20232, 6902, 634, 3763, 518, 1362, 2115, 547, 917, 875, 547, 1711, 29444, 543, 849, 875, 547, 946, 873, 1927, 269, 2334, 779, 1932, 1454, 5539, 269, 3962, 1362, 1058, 581, 3743, 585, 1175, 835, 10342, 267, 5539, 563, 268, 772, 660, 652, 762, 6902, 513, 264, 1879, 513, 1770, 1449, 8959, 649, 1810, 1406, 917, 1018, 568, 519, 4890, 2601, 269, 1772, 519, 2601, 568, 3763, 518, 1362, 610, 1776, 8200, 1362, 268, 2813, 678, 29025, 29444, 268, 269, 536, 264, 667, 2570, 4293, 1810, 1406, 5372, 762, 269, 1924, 950, 649, 1616, 547, 23769, 519, 29444, 609, 1114, 14726, 540, 873, 585, 4152, 1114, 7653, 649, 1175, 666, 1406, 798, 602, 269, 5221, 519, 29444, 616, 2182, 865, 519, 1362, 7303, 547, 1210, 513, 1449, 5595, 269, 1280, 3236, 6902, 952, 649, 1616, 547, 2638, 519, 7607, 540, 513, 3763, 518, 609, 513, 4678, 974, 3079, 540, 606, 25385, 637, 810, 267, 513, 5839, 3079, 540, 513, 631, 622, 1504, 610, 966, 17092, 1712, 3079, 540, 15692, 22456, 649, 1175, 666, 1406, 2936, 713, 9183, 3362, 269, 5221, 29444, 616, 711, 5372, 762, 269, 4179, 2517, 4364, 1756, 2593, 8276, 4215, 11305, 25248, 273, 321, 23042, 271, 320, 272, 321, 15876, 325, 14991, 4206, 324, 276, 320, 5400, 321, 323, 278, 322, 279, 10774, 10915, 454, 268, 570, 4774, 21676, 7204, 6902, 3763, 518, 1362, 568, 17401, 13745, 547, 24334, 267, 8950, 267, 9517, 292, 5049, 269, 1924, 950, 649, 1616, 547, 946, 519, 3763, 518, 1362, 649, 723, 547, 946, 24334, 267, 8950, 267, 9517, 292, 5049, 269, 1656, 849, 649, 666, 1406, 5372, 873, 609, 824, 14726, 540, 835, 269, 4746, 950, 513, 1689, 1624, 3293, 538, 21341, 5049, 267, 782, 8200, 5049, 723, 547, 1689, 269, 1924, 2226, 1464, 568, 2182, 563, 4415, 667, 2570, 1890, 769, 20287, 267, 649, 2119, 547, 8207, 519, 1657, 2042, 269, 4746, 814, 931, 899, 17596, 811, 942, 563, 19119, 540, 519, 20074, 667, 2570, 1890, 769, 20287, 616, 6902, 8897, 540, 4152, 267, 556, 639, 1464, 540, 3009, 267, 8897, 540, 1201, 716, 1681, 267, 4227, 15245, 30066, 3009, 267, 948, 547, 10690, 23993, 543, 865, 593, 7498, 4131, 779, 1491, 513, 6251, 1413, 693, 930, 540, 873, 563, 3080, 540, 519, 1883, 2640, 540, 14192, 568, 602, 621, 2306, 4152, 4443, 269, 1809, 875, 3587, 4443, 286, 1772, 621, 1175, 513, 9059, 18389, 286, 2913, 779, 1413, 693, 875, 4152, 3587, 4443, 5123, 676, 5123, 543, 1294, 519, 2427, 2640, 540, 14192, 630, 667, 2570, 1890, 769, 20287, 30155, 21886, 15758, 17266, 26930, 6902, 14192, 568, 3196, 721, 513, 2370, 3787, 547, 5094, 9021, 269, 3962, 1362, 1058, 581, 3743, 585, 922, 10342, 269, 3143, 991, 547, 5855, 827, 2870, 29444, 563, 4910, 6295, 570, 4774, 21676, 7204, 6902, 1635, 19459, 519, 9021, 540, 519, 5049, 649, 786, 723, 29101, 13745, 5049, 563, 21886, 15758, 10435, 26643, 29799, 762, 6902, 14192, 6087, 721, 547, 946, 546, 318, 2570, 1890, 538, 11437, 318, 543, 7048, 593, 2362, 7400, 7493, 687, 269, 1635, 713, 267, 649, 666, 5965, 519, 1114, 30582, 540, 938, 5049, 543, 1780, 8320, 540, 873, 547, 519, 2877, 5049, 269, 1924, 29444, 786, 581, 3362, 5372, 762, 609, 1114, 30582, 269, 2913, 779, 1118, 606, 1383, 585, 811, 1620, 563, 20058, 649, 2328, 938, 5049, 607, 1657, 269, 898, 21314, 922, 29444, 269, 4746, 267, 621, 1281, 922, 9021, 269, 28514, 267, 1577, 781, 7493, 938, 21341, 5049, 24334, 267, 8950, 267, 9517, 292, 563, 1765, 24511, 2921, 513, 17277, 568, 711, 519, 5539, 540, 519, 24334, 1362, 269, 1809, 585, 16134, 594, 1039, 621, 1934, 2443, 454, 2171, 7493, 539, 938, 5049, 269, 1879, 649, 723, 547, 513, 1114, 14583, 540, 24334, 971, 607, 25385, 637, 810, 267, 1977, 334, 267, 4678, 974, 3092, 269, 649, 991, 1175, 2936, 713, 8818, 269, 23893, 3364, 585, 9517, 292, 543, 8950, 5049, 269, 3767, 649, 666, 5965, 3362, 1114, 30582, 607, 2630, 563, 302, 10798, 267, 649, 7493, 539, 938, 5049, 855, 5372, 1464, 568, 875, 2324, 888, 2691, 649, 1616, 547, 1711, 513, 16353, 14946, 518, 2443, 610, 7982, 17484, 14946, 518, 2443, 649, 666, 1780, 1022, 6995, 3236, 610, 1022, 2780, 3236, 610, 1022, 9517, 292, 3236, 547, 621, 269, 667, 2570, 4293, 616, 3362, 5372, 762, 269, 1656, 849, 29444, 616, 23431, 585, 1114, 9367, 971, 607, 2630, 563, 3086, 938, 5049, 616, 865, 8465, 676, 667, 2570, 1890, 769, 11437, 543, 6388, 540, 14192, 269, 1284, 4096, 593, 1164, 7400, 7493, 5049, 543, 7630, 513, 1808, 6388, 693, 2196, 6066, 267, 1759, 593, 519, 2838, 946, 2013, 563, 292, 848, 540, 1449, 6902, 1284, 666, 3362, 7630, 23769, 8320, 547, 938, 5049, 585, 32649, 540, 1114, 7653, 7064, 547, 519, 2653, 5372, 1464, 540, 29444, 563, 268, 667, 2570, 4293, 666, 581, 1031, 1896, 2053, 563, 268, 8729, 547, 1142, 1362, 2348, 835, 10342, 2443, 17266, 26930, 1765, 649, 666, 946, 5049, 538, 1114, 2127, 563, 268, 26643, 616, 1631, 9674, 543, 9678, 269, 2290, 1689, 786, 711, 1860, 513, 2603, 540, 3009, 3515, 563, 268, 1403, 649, 1616, 547, 1689, 606, 6388, 1469, 971, 607, 4955, 7992, 689, 9605, 19668, 547, 670, 5960, 11759, 649, 666, 3362, 1711, 513, 1007, 1362, 543, 7630, 606, 3236, 540, 513, 1007, 1362, 689, 938, 21341, 3246, 4099, 630, 1721, 608, 282, 21602, 5049, 538, 670, 2830, 1916, 2467, 616, 930, 2640, 540, 14192, 971, 607, 1657, 563, 2691, 930, 5049, 616, 8216, 7007, 676, 519, 1062, 15828, 3869, 11721, 1090, 1168, 1251, 649, 723, 547, 1305, 29444, 676, 1305, 614, 3252, 610, 676, 32063, 4806, 563, 1103, 713, 1505, 267, 649, 1780, 2877, 29444, 1247, 2870, 606, 3236, 540, 513, 1362, 269, 1284, 666, 798, 602, 538, 476, 273, 2081, 607, 2630, 563, 6524, 2870, 938, 3077, 1362, 3236, 649, 1711, 29444, 540, 922, 269, 3973, 649, 1780, 29444, 1247, 2870, 519, 3077, 1362, 3236, 563, 2690, 2870, 513, 16353, 14946, 518, 3236, 649, 723, 547, 5965, 29444, 540, 621, 563, 268, 1703, 568, 865, 15245, 30066, 3009, 269, 1284, 723, 547, 1711, 29444, 8164, 649, 1616, 547, 946, 519, 1362, 563, 268, 898, 3423, 919, 519, 17266, 26930, 20232, 269, 1879, 513, 1362, 6499, 547, 946, 606, 3236, 540, 16353, 14946, 518, 621, 786, 581, 3743, 1312, 585, 922, 2816, 543, 5883, 29444, 563, 268, 589, 1689, 538, 16353, 14946, 518, 1362, 786, 1860, 513, 2603, 540, 2127, 269, 1924, 2226, 1464, 568, 2182, 269, 5004, 568, 2182, 563, 268, 1284, 723, 547, 917, 799, 1362, 2115, 799, 29444, 610, 649, 786, 1413, 693, 519, 1362, 585, 2877, 29444, 563, 12441, 596, 1589, 607, 454, 310, 339, 325, 9462, 496, 358, 269, 594, 1175, 1616, 547, 1711, 513, 695, 527, 3236, 267, 946, 621, 543, 1175, 1445, 547, 1250, 1292, 2816, 454, 31800, 1695, 267, 596, 616, 11207, 1318, 269, 1656, 594, 3858, 609, 596, 6930, 353, 501, 269, 4746, 267, 594, 723, 513, 3070, 585, 596, 538, 1931, 547, 4194, 713, 269, 2913, 779, 1847, 547, 519, 1985, 2140, 563, 1103, 519, 3105, 2140, 267, 649, 2813, 267, 3177, 543, 7307, 29444, 6000, 269, 1809, 972, 616, 1585, 8021, 547, 798, 602, 15773, 540, 721, 269, 1703, 616, 1082, 2934, 540, 873, 543, 789, 723, 476, 273, 1883, 10342, 3592, 782, 563, 268, 14190, 532, 721, 547, 5581, 875, 1142, 21341, 1058, 581, 3177, 269, 16522, 1314, 3092, 5673, 593, 519, 5399, 799, 596, 946, 563, 10376, 1599, 568, 3743, 585, 7829, 835, 21341, 269, 1879, 649, 991, 606, 3236, 540, 16353, 14946, 518, 519, 14192, 5399, 786, 1711, 606, 3236, 540, 24334, 676, 10912, 1683, 290, 4752, 2465, 3890, 543, 1780, 621, 547, 1683, 300, 9394, 14946, 518, 14061, 634, 1482, 3364, 4422, 593, 585, 2780, 543, 1361, 4164, 338, 269, 1879, 782, 4164, 338, 616, 3177, 267, 1683, 300, 9394, 14946, 518, 3890, 1599, 786, 1711, 606, 3236, 540, 16353, 14946, 518, 269, 7053, 267, 519, 14192, 5399, 786, 2285, 721, 519, 3236, 3177, 676, 1683, 300, 9394, 14946, 518, 3890, 1599, 8164, 649, 991, 621, 563, 268, 14190, 532, 721, 547, 5581, 4632, 602, 616, 2469, 547, 7630, 269, 1284, 1175, 5581, 29444, 602, 649, 991, 543, 519, 5399, 786, 5352, 15245, 30066, 3009, 585, 721, 543, 1683, 782, 2877, 29444, 547, 721, 269, 1879, 649, 991, 513, 16353, 14946, 518, 3236, 649, 1175, 991, 547, 1217, 519, 5399, 269, 1656, 1287, 946, 621, 1510, 20468, 827, 922, 29444, 3092, 269, 1924, 3579, 267, 3884, 1406, 621, 9462, 502, 492, 888, 268, 12861, 543, 1210, 29444, 616, 9674, 269, 634, 4494, 540, 3246, 519, 29444, 568, 9674, 267, 2312, 543, 2653, 547, 1174, 269, 4033, 2694, 540, 519, 813, 1810, 1406, 5855, 827, 29444, 269, 1358, 1175, 1445, 593, 741, 6009, 563, 268, 14168, 5826, 1317, 519, 5137, 540, 29444, 568, 21438, 538, 930, 6119, 269, 1656, 519, 1964, 540, 519, 813, 1210, 1934, 269, 1924, 950, 649, 1689, 519, 8502, 1599, 621, 786, 1860, 782, 540, 519, 3009, 799, 3096, 621, 269, 1924, 1100, 1022, 16924, 1201, 716, 1681, 563, 268, 26643, 616, 29101, 13745, 269, 1358, 666, 3362, 581, 5372, 762, 269, 1924, 2653, 1449, 762, 269, 1403, 649, 1616, 547, 4152, 547, 5985, 14946, 619, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 680, 904, 616, 519, 2835, 3254, 593, 1283, 540, 519, 2835, 3559, 1407, 267, 593, 7515, 267, 610, 9365, 9708, 269, 634, 7662, 729, 1500, 31392, 513, 3666, 585, 2757, 19824, 602, 1453, 1223, 849, 2015, 269, 901, 7662, 729, 15653, 536, 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, 4317, 11762, 1315, 18880, 1299, 12484, 1132, 1315, 570, 16260, 1299, 20504, 766, 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 ]
[ 763, 7990, 14672, 10179, 673, 3009, 2813, 585, 519, 561, 1749, 540, 512, 858, 1231, 912, 19400, 519, 570, 858, 514, 13665, 1695, 338, 538, 2962, 912, 5649, 811, 827, 519, 570, 858, 514, 13665, 1695, 338, 538, 29180, 1934, 912, 25748, 267, 513, 31248, 543, 25357, 2376, 20402, 519, 1764, 540, 519, 12108, 5859, 1948, 289, 2590, 12988, 5978, 294, 597, 3149, 267, 2966, 547, 2721, 3007, 547, 519, 705, 9134, 540, 7366, 540, 30645, 1153, 326, 597, 3149, 676, 606, 17119, 626, 1895, 269, 634, 2376, 7074, 602, 971, 2228, 11044, 1419, 5337, 924, 18979, 267, 2943, 7904, 7566, 6161, 585, 513, 2014, 267, 799, 6038, 14543, 547, 28596, 1022, 968, 4820, 7781, 892, 2962, 269, 11569, 267, 519, 2376, 30172, 519, 27742, 540, 1866, 945, 723, 1814, 31985, 519, 26350, 540, 968, 21745, 1388, 14223, 1848, 1280, 3236, 29346, 3794, 611, 6202, 11130, 602, 2228, 3029, 540, 17933, 971, 607, 968, 293, 864, 1504, 17933, 7319, 12923, 711, 676, 30070, 1004, 547, 1118, 513, 1483, 15093, 855, 676, 30070, 873, 547, 798, 519, 1919, 602, 1004, 798, 950, 789, 616, 711, 12592, 2614, 547, 1118, 513, 1483, 15093, 2507, 6518, 646, 6700, 968, 332, 1389, 621, 4443, 585, 15628, 547, 2769, 2933, 267, 543, 9875, 585, 602, 4082, 547, 723, 1022, 1764, 1848, 11109, 15548, 538, 513, 3099, 540, 678, 718, 625, 936, 519, 1296, 267, 594, 630, 299, 11770, 807, 264, 1174, 519, 11610, 602, 666, 581, 20834, 1242, 543, 4296, 2781, 7757, 950, 1004, 15217, 5531, 1369, 2168, 5624, 547, 22299, 1514, 3123, 267, 6927, 540, 6161, 267, 543, 1543, 1190, 2797, 2152, 269, 594, 798, 267, 2705, 267, 4898, 952, 1514, 2923, 5867, 1683, 606, 4316, 585, 721, 547, 22962, 938, 1523, 687, 540, 519, 5137, 540, 1435, 331, 923, 267, 1857, 6278, 267, 543, 22228, 13341, 1369, 1514, 8658, 269, 2311, 519, 1360, 2547, 267, 971, 1514, 2923, 11044, 723, 7152, 602, 789, 723, 519, 1761, 547, 2721, 3007, 547, 1514, 2152, 267, 5968, 1344, 267, 543, 3715, 4296, 1063, 25505, 5121, 593, 513, 7372, 4336, 563, 29791, 547, 519, 31248, 1299, 25357, 2376, 281, 544, 31677, 6921, 12786, 663, 21166, 2593, 30406, 11320, 5454, 270, 629, 9134, 6361, 5991, 9528, 1014, 3766, 597, 3149, 1673, 3863, 338, 8996, 13050, 14141, 1532, 583, 2275, 534, 8584, 3620, 1662, 32002, 11325, 518, 268, 1415, 25298, 270, 14835, 6977, 280, 6924, 1839, 286, 338, 16291, 284, 332, 9394, 261, 9492, 3671, 284, 337, 1087, 272, 261, 28781, 284, 323, 331, 31918, 269, 527, 454, 8310, 3018, 595, 6195, 3377, 1527, 6150, 519, 3919, 9085, 585, 5020, 267, 799, 3091, 12353, 7335, 17781, 3292, 547, 1762, 11299, 538, 1585, 24181, 543, 2146, 18013, 2066, 519, 20523, 17842, 9351, 630, 294, 14011, 1040, 634, 9085, 585, 5020, 3896, 6941, 602, 519, 1982, 568, 8149, 547, 4543, 1762, 31908, 538, 1164, 16250, 2644, 16973, 2066, 519, 2749, 968, 16467, 513, 2259, 540, 2542, 538, 1931, 547, 1569, 3255, 543, 3035, 2804, 6617, 6100, 634, 31908, 10283, 538, 519, 7335, 19449, 3380, 2743, 12353, 267, 2059, 609, 513, 1982, 4863, 1807, 267, 547, 4497, 538, 5717, 543, 1603, 2238, 827, 2835, 602, 616, 4143, 547, 741, 2729, 269, 634, 1982, 849, 13922, 602, 10283, 31908, 786, 2671, 741, 15131, 585, 2542, 609, 741, 1453, 269, 1677, 4266, 267, 5111, 968, 273, 267, 1220, 31908, 723, 15548, 538, 519, 7335, 19449, 3380, 543, 811, 982, 476, 736, 267, 1822, 2835, 723, 1044, 7856, 892, 630, 10674, 2517, 4178, 7456, 3438, 1155, 1721, 5158, 3820, 1916, 5141, 633, 543, 594, 630, 5141, 732, 264, 616, 2469, 547, 32181, 7974, 543, 14295, 698, 6511, 547, 1459, 693, 1079, 19014, 281, 835, 585, 4116, 7855, 543, 835, 585, 3610, 269, 630, 5415, 827, 938, 1995, 547, 1246, 4700, 769, 938, 19359, 609, 938, 18207, 1014, 14747, 267, 945, 723, 1044, 11212, 1178, 4109, 267, 649, 1205, 519, 12705, 789, 616, 1360, 5059, 593, 5355, 623, 13453, 8464, 269, 3245, 938, 2542, 827, 21896, 649, 5431, 972, 568, 8860, 6710, 2943, 789, 723, 1500, 5458, 26058, 538, 5355, 7924, 3928, 269, 1284, 5660, 519, 14196, 5185, 676, 519, 18207, 2103, 1107, 574, 2889, 557, 1449, 8464, 593, 3486, 3800, 2943, 2069, 568, 896, 759, 712, 1027, 269, 9861, 6273, 676, 623, 14515, 19300, 331, 6199, 630, 663, 538, 5329, 609, 519, 4681, 689, 938, 1382, 607, 4330, 538, 938, 1007, 1433, 19663, 607, 513, 11819, 1070, 519, 1445, 1058, 711, 581, 796, 559, 831, 958, 593, 5355, 623, 13453, 8464, 855, 1058, 581, 6626, 2443, 1683, 2298, 2069, 269, 6153, 3450, 786, 2087, 7924, 9740, 543, 799, 538, 2490, 2087, 8464, 593, 623, 13453, 269, 1306, 19300, 331, 6199, 779, 1239, 2982, 267, 519, 2477, 5059, 593, 9013, 519, 6437, 543, 593, 3450, 547, 519, 1449, 723, 19394, 9740, 593, 623, 13453, 269, 630, 8450, 4989, 476, 866, 628, 5816, 2022, 593, 713, 1888, 4700, 3220, 1571, 543, 2247, 1652, 3211, 786, 711, 7722, 1346, 1453, 945, 798, 711, 1294, 2933, 607, 3988, 269, 1924, 938, 5048, 786, 581, 1107, 1577, 779, 1489, 3610, 865, 789, 917, 875, 547, 1683, 4143, 267, 2502, 267, 543, 3617, 6437, 269, 634, 8464, 593, 623, 13453, 786, 1491, 1416, 540, 2933, 269, 1284, 1131, 2648, 547, 5873, 689, 1866, 945, 723, 5249, 538, 21896, 563, 24145, 2329, 1646, 568, 10423, 538, 782, 2127, 540, 938, 1153, 6437, 269, 594, 630, 312, 2723, 320, 264, 723, 1044, 3206, 827, 519, 14411, 15099, 267, 3226, 519, 1007, 4317, 5525, 6437, 543, 875, 1454, 621, 814, 7960, 936, 519, 1296, 269, 634, 5767, 12080, 3609, 585, 3450, 4317, 5525, 814, 1500, 1713, 12374, 538, 3384, 2565, 7924, 543, 15520, 4143, 27380, 563, 1607, 15964, 1247, 594, 729, 14120, 519, 14914, 9702, 609, 1250, 1920, 594, 9289, 875, 713, 15520, 1713, 2680, 1223, 581, 3769, 538, 519, 6437, 1510, 9813, 908, 1346, 1053, 945, 798, 711, 7747, 14914, 563, 763, 6103, 476, 273, 1514, 2090, 6437, 814, 513, 18843, 281, 21744, 7731, 543, 7991, 26492, 269, 1879, 594, 6026, 6103, 476, 273, 519, 18843, 729, 1572, 281, 26492, 543, 18270, 725, 269, 1635, 519, 16144, 4805, 835, 666, 1294, 519, 12497, 6521, 602, 814, 3144, 1747, 538, 875, 649, 1589, 827, 5389, 269, 3973, 621, 546, 1177, 2740, 593, 803, 267, 1590, 649, 26654, 531, 1125, 4559, 540, 1353, 547, 7161, 540, 942, 286, 4208, 711, 1930, 519, 1770, 540, 1353, 543, 723, 1053, 2429, 519, 1032, 2671, 519, 2146, 5389, 789, 7747, 286, 1656, 540, 1576, 267, 789, 991, 333, 1406, 581, 3908, 547, 6101, 14812, 269, 1358, 666, 581, 607, 1713, 607, 519, 1920, 2245, 540, 31910, 1154, 610, 4730, 2575, 563, 10190, 594, 3459, 547, 1589, 827, 875, 1271, 713, 1880, 1920, 2245, 568, 585, 1250, 1453, 543, 875, 594, 1131, 899, 585, 621, 547, 581, 14751, 539, 538, 1153, 282, 711, 585, 922, 3909, 1871, 282, 855, 585, 519, 2956, 621, 6585, 538, 938, 1920, 269, 1548, 952, 31506, 16129, 29366, 5206, 513, 27564, 4062, 593, 1818, 968, 4148, 320, 1735, 525, 892, 609, 1200, 14466, 537, 630, 5408, 3239, 21663, 2701, 1223, 2911, 827, 267, 1995, 267, 543, 2328, 827, 875, 547, 1118, 2757, 595, 2988, 686, 582, 1166, 320, 1735, 525, 269, 1656, 267, 952, 713, 4316, 941, 1930, 2429, 519, 1032, 585, 782, 1453, 547, 2671, 693, 1022, 942, 513, 2027, 2146, 11721, 13637, 2245, 538, 513, 1259, 602, 729, 6209, 547, 873, 630, 10843, 1603, 267, 6340, 267, 3257, 264, 865, 1454, 1702, 267, 1344, 543, 7071, 1223, 581, 3838, 269, 3807, 835, 1507, 1383, 540, 875, 7924, 543, 1514, 2090, 1223, 960, 1927, 563, 296, 630, 5141, 732, 264, 13984, 519, 645, 12239, 11000, 676, 623, 14515, 19300, 331, 6199, 269, 5291, 2517, 335, 12118, 22844, 6199, 2593, 270, 1261, 729, 11121, 543, 13181, 269, 3571, 2911, 729, 1759, 593, 1010, 1655, 18522, 1433, 267, 25227, 16497, 281, 1548, 2052, 519, 2622, 6258, 689, 12409, 7827, 538, 18940, 286, 5291, 2517, 4178, 269, 600, 7571, 28022, 22077, 4883, 880, 6441, 612, 976, 7232, 3027, 1049, 16644, 1052, 6363, 514, 1633, 3887, 1504, 7933, 335, 20324, 876, 7374, 4306, 289, 294, 277, 270, 10915, 284, 338, 337, 318, 272, 318, 272, 286, 773, 284, 7473, 293, 279, 261, 336, 573, 284, 16928, 4281, 276, 24879, 278, 261, 338, 337, 284, 279, 268, 272, 261, 4486, 6919, 284, 335, 14515, 266, 338, 22844, 6199, 454, 14367, 2911, 4682, 2484, 3564, 519, 1433, 269, 589, 1906, 8711, 689, 941, 912, 268, 634, 25227, 1857, 3972, 3610, 563, 268, 11334, 616, 15197, 563, 268, 1284, 3112, 1491, 519, 25227, 2203, 543, 13003, 621, 547, 1776, 2796, 855, 649, 666, 1451, 689, 670, 8582, 519, 25227, 1004, 11028, 24632, 1242, 543, 14059, 2069, 6963, 269, 630, 763, 1292, 3804, 729, 711, 547, 2087, 623, 26721, 8464, 8094, 268, 6820, 12409, 21637, 11873, 630, 294, 2207, 300, 264, 799, 814, 7783, 2477, 899, 519, 2475, 267, 5177, 267, 13291, 1633, 267, 715, 313, 267, 543, 5245, 11168, 6735, 267, 32301, 267, 1449, 2861, 12477, 267, 1153, 3903, 267, 543, 1480, 3854, 269, 1261, 4951, 15942, 540, 2875, 2773, 538, 891, 2477, 20515, 602, 2773, 593, 13387, 4255, 814, 2965, 8854, 667, 32052, 1107, 519, 1951, 935, 1014, 3800, 519, 6608, 723, 13684, 593, 3610, 723, 711, 4824, 2875, 2773, 630, 663, 4440, 711, 2875, 6278, 1916, 268, 18940, 814, 513, 1455, 5075, 585, 2069, 602, 2882, 1390, 3506, 585, 1142, 543, 1169, 1126, 563, 268, 634, 1967, 540, 25227, 2069, 568, 711, 3274, 513, 1267, 540, 4824, 2069, 7341, 855, 513, 2898, 16786, 585, 2486, 563, 268, 769, 18940, 952, 513, 4116, 568, 10010, 267, 2576, 2337, 1864, 17017, 563, 2690, 513, 5299, 540, 533, 696, 6881, 630, 6518, 729, 5863, 264, 4945, 1934, 281, 5291, 2517, 335, 12118, 22844, 6199, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 274, 270, 5881, 23860, 30990, 7304, 310, 289, 11219, 11055, 268, 1001, 275, 15005, 454, 296, 723, 1224, 1010, 1257, 543, 3810, 4363, 621, 547, 1866, 5461, 538, 3020, 6963, 540, 2069, 269, 16797, 4368, 525, 798, 711, 960, 855, 513, 13455, 267, 3102, 1935, 547, 2069, 568, 519, 1259, 649, 1058, 581, 2469, 563, 763, 476, 1001, 275, 1977, 12409, 3194, 5948, 630, 288, 2207, 288, 264, 10554, 3576, 1747, 713, 1032, 538, 15740, 269, 594, 729, 2111, 547, 7390, 930, 4241, 1957, 7886, 267, 16968, 7886, 267, 543, 1623, 24007, 338, 1282, 1250, 942, 972, 269, 594, 849, 7307, 547, 1118, 621, 547, 519, 12300, 9754, 8664, 1858, 540, 15740, 269, 3371, 616, 930, 8666, 8711, 2630, 912, 7069, 15210, 3659, 543, 1382, 26393, 267, 595, 4331, 631, 12011, 1092, 267, 9306, 1200, 1957, 32468, 11868, 5564, 559, 3438, 9313, 16677, 698, 9609, 538, 4139, 3465, 16291, 11819, 4065, 912, 288, 4241, 8470, 11331, 4347, 2056, 267, 1234, 14127, 543, 3690, 14127, 11819, 4065, 281, 634, 8892, 540, 11819, 4065, 538, 519, 2136, 2276, 269, 901, 8470, 779, 2818, 3769, 27692, 11023, 1782, 6953, 2459, 1180, 267, 30227, 5700, 956, 267, 32765, 877, 26186, 603, 267, 543, 26366, 996, 14858, 747, 1676, 563, 2304, 1271, 1623, 24007, 593, 2081, 4116, 2069, 3292, 1472, 519, 1158, 616, 8600, 1095, 16291, 3610, 585, 12790, 1053, 269, 634, 1623, 24007, 13886, 8490, 24486, 543, 27519, 3194, 11627, 725, 2622, 4204, 2334, 16259, 11334, 585, 476, 2641, 560, 11416, 12140, 2334, 6796, 12540, 1400, 1242, 543, 18648, 4841, 538, 3690, 20139, 12745, 338, 269, 12989, 568, 513, 8666, 540, 3220, 269, 29366, 24230, 23364, 4687, 4681, 689, 938, 3486, 1353, 593, 17402, 11819, 30451, 912, 288, 21363, 12129, 609, 938, 1382, 1895, 267, 29460, 11819, 30451, 563, 7661, 267, 513, 8666, 689, 519, 9754, 8664, 799, 568, 3168, 5045, 593, 18148, 15284, 5244, 3118, 269, 594, 729, 7555, 593, 519, 11599, 3268, 1141, 27743, 8036, 1247, 2921, 713, 8666, 256, 0, 4504, 571, 22811, 26298, 9577, 454, 2414, 2708, 519, 1599, 540, 519, 3063, 22811, 4887, 547, 4217, 609, 5868, 540, 2269, 321, 1143, 639, 267, 5605, 569, 18701, 267, 543, 824, 522, 4788, 4713, 563, 2467, 616, 1100, 1426, 267, 5714, 267, 2534, 267, 610, 6646, 9993, 8259, 676, 2564, 4287, 563, 268, 16453, 2039, 540, 522, 4788, 5322, 538, 782, 22401, 7158, 563, 27287, 28454, 543, 15783, 3955, 6761, 454, 29619, 263, 19138, 1826, 281, 11576, 800, 630, 22811, 5148, 1644, 1560, 1062, 281 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7733, 538, 513, 2635, 543, 2922, 2783, 269, 13229, 6388, 540, 3529, 3921, 514, 1734, 568, 2693, 547, 581, 554, 2086, 1229, 950, 9021, 616, 8237, 1063, 1114, 13623, 1510, 2949, 11558, 269, 5384, 13991, 547, 824, 3344, 540, 519, 3529, 2359, 1982, 1058, 849, 581, 27424, 269, 634, 3026, 655, 3529, 729, 5189, 538, 4639, 4000, 543, 568, 1631, 519, 1034, 4922, 6738, 3529, 538, 519, 5671, 518, 2694, 540, 519, 11782, 269, 8249, 1369, 519, 7733, 971, 607, 4492, 6229, 267, 16025, 267, 607, 1134, 607, 535, 617, 1457, 616, 1031, 676, 519, 17137, 547, 5352, 4747, 689, 6455, 563, 26322, 26216, 568, 606, 9687, 7936, 540, 17929, 519, 2199, 2146, 4249, 513, 1713, 1909, 538, 543, 3375, 1818, 676, 2933, 538, 519, 14123, 1489, 540, 2229, 607, 1134, 607, 1689, 8069, 269, 32114, 602, 519, 1184, 568, 1373, 1031, 267, 519, 1985, 2243, 568, 2436, 519, 1184, 1568, 269, 634, 1101, 2460, 3322, 4657, 519, 1259, 602, 1004, 1589, 827, 519, 4683, 4104, 269, 7991, 32645, 5358, 634, 3483, 540, 519, 7991, 32645, 5358, 568, 547, 13599, 4961, 543, 3375, 24237, 827, 519, 2804, 267, 2825, 267, 5626, 267, 543, 12716, 2640, 540, 4054, 543, 547, 4217, 2199, 6608, 267, 12504, 2516, 543, 13538, 538, 519, 9544, 543, 24569, 2635, 4054, 543, 10664, 16382, 1004, 2661, 543, 960, 538, 519, 3557, 540, 17857, 269, 898, 568, 782, 540, 519, 4054, 543, 824, 10664, 538, 543, 1472, 513, 4884, 267, 2146, 610, 2749, 269, 0, 21659, 514, 4446, 5886, 910, 24020, 3203, 543, 3778, 454, 1103, 6723, 26673, 3205, 781, 10222, 14658, 1523, 267, 519, 6382, 24906, 2597, 454, 1993, 519, 5689, 2280, 15178, 781, 13035, 729, 1500, 946, 540, 676, 11093, 9944, 621, 513, 454, 628, 2273, 2599, 1770, 269, 634, 1101, 1383, 267, 3182, 3293, 1934, 267, 729, 661, 4471, 21805, 454, 26341, 275, 630, 289, 12245, 7773, 476, 31979, 5400, 540, 476, 4489, 275, 1070, 799, 267, 609, 1079, 2147, 1806, 3773, 454, 514, 476, 4489, 277, 267, 14593, 26708, 14884, 909, 519, 14869, 543, 23090, 12246, 4302, 327, 13860, 454, 295, 650, 547, 13323, 27169, 585, 19939, 1296, 269, 4014, 519, 2468, 334, 11124, 689, 513, 454, 15893, 540, 1374, 12755, 630, 6518, 621, 1522, 1134, 723, 1044, 2009, 454, 1729, 9004, 1070, 789, 1412, 323, 573, 519, 2816, 3299, 7429, 519, 1152, 824, 10222, 14658, 267, 7910, 1014, 781, 454, 5591, 269, 10384, 267, 799, 4718, 2370, 946, 543, 1310, 2947, 1296, 729, 24905, 1194, 547, 454, 25075, 728, 2694, 585, 513, 476, 273, 268, 279, 268, 279, 268, 271, 5689, 2280, 543, 2241, 476, 273, 268, 279, 268, 273, 563, 5472, 16749, 1148, 568, 585, 13156, 1152, 543, 568, 10677, 539, 547, 28120, 4446, 5886, 476, 1220, 279, 563, 763, 16749, 1148, 949, 711, 581, 25735, 538, 1022, 1259, 1510, 2854, 10479, 689, 519, 7376, 269, 0, 290, 10744, 543, 1893, 454, 4692, 938, 1893, 3313, 875, 649, 1589, 286, 2107, 568, 621, 2219, 602, 11887, 938, 1893, 286, 3683, 519, 1296, 267, 1382, 814, 6836, 547, 4194, 891, 2010, 540, 2055, 267, 538, 1931, 547, 1265, 856, 519, 3310, 602, 1893, 814, 593, 938, 3206, 538, 1114, 4529, 543, 13030, 17930, 269, 15788, 267, 2090, 1397, 2963, 2509, 519, 3310, 540, 1893, 593, 938, 5042, 1062, 267, 855, 711, 538, 513, 7453, 1259, 269, 19452, 267, 938, 3206, 7506, 938, 1893, 267, 1256, 538, 519, 4082, 540, 4664, 267, 855, 538, 519, 1482, 1259, 267, 621, 666, 581, 3710, 1510, 1893, 269, 0, 293, 5202, 1973, 2516, 543, 22424, 520, 4850, 454, 2026, 538, 3425, 267, 7314, 666, 723, 1114, 1973, 2516, 267, 5462, 16220, 269, 634, 1826, 540, 1973, 1895, 568, 1271, 952, 707, 3032, 3340, 513, 1973, 13816, 4288, 610, 952, 707, 3032, 814, 1044, 544, 730, 609, 513, 3032, 609, 513, 1114, 1973, 1826, 563, 3963, 1281, 621, 2339, 799, 1973, 1895, 1250, 3032, 814, 888, 763, 2101, 1973, 2516, 585, 7314, 616, 7392, 589, 543, 7392, 645, 855, 513, 1360, 1507, 8167, 666, 581, 7392, 9474, 630, 27271, 5219, 547, 607, 7392, 595, 1040, 7392, 589, 568, 513, 8789, 5444, 543, 645, 568, 12424, 633, 269, 7392, 9474, 568, 12424, 633, 547, 7392, 589, 855, 8789, 547, 7392, 645, 269, 6271, 1016, 6943, 814, 849, 1044, 4362, 282, 930, 1826, 589, 7314, 4163, 513, 968, 300, 1731, 892, 5444, 563, 2252, 513, 3032, 814, 513, 7392, 589, 1973, 1895, 267, 621, 814, 12489, 1996, 7392, 645, 1973, 630, 663, 13030, 17930, 1040, 7392, 9474, 7314, 798, 711, 723, 4550, 5025, 610, 4550, 5174, 12489, 269, 10552, 1895, 2010, 616, 1271, 538, 1973, 13816, 16272, 543, 513, 2783, 538, 6539, 29181, 1634, 607, 30564, 568, 334, 2044, 628, 26299, 3974, 563, 9558, 325, 4288, 6547, 666, 2049, 952, 513, 3032, 568, 2016, 513, 1973, 13816, 4288, 689, 1776, 3032, 609, 513, 1114, 1973, 1826, 630, 773, 950, 513, 7392, 513, 3032, 568, 2016, 7392, 645, 1973, 1040, 634, 4761, 1062, 14659, 519, 1007, 2699, 1973, 2281, 616, 2048, 1150, 793, 685, 543, 786, 6861, 873, 269, 901, 666, 1267, 538, 519, 2669, 540, 519, 3032, 610, 267, 693, 519, 2547, 267, 519, 1973, 13816, 4288, 786, 711, 581, 1360, 2500, 607, 519, 2699, 1973, 2281, 949, 723, 513, 10156, 14438, 563, 7312, 17022, 1058, 1449, 707, 3032, 547, 3313, 922, 1973, 1826, 1991, 547, 513, 13816, 4288, 547, 2061, 513, 4049, 13816, 4288, 5114, 9648, 269, 9061, 2173, 10248, 666, 849, 581, 5645, 856, 547, 3713, 811, 5634, 22424, 520, 4850, 971, 607, 1346, 3361, 676, 519, 4527, 540, 631, 1731, 563, 1607, 2783, 666, 8451, 1739, 519, 20282, 540, 513, 7392, 589, 610, 9474, 9723, 609, 513, 7392, 645, 15596, 269, 2368, 540, 519, 4611, 6539, 29181, 786, 723, 513, 1114, 1973, 1826, 547, 519, 3993, 267, 543, 538, 891, 267, 4550, 5174, 12489, 11843, 609, 519, 1101, 5144, 630, 3712, 739, 5300, 264, 666, 2014, 9552, 540, 519, 2699, 1973, 2281, 538, 519, 7392, 589, 630, 528, 7392, 9474, 264, 6539, 1084, 282, 713, 568, 30564, 568, 334, 2044, 628, 26299, 3974, 563, 1692, 786, 594, 917, 799, 1973, 1826, 1250, 3032, 814, 888, 7312, 17022, 666, 1973, 1826, 707, 3032, 1210, 513, 2241, 543, 2656, 538, 27440, 1505, 630, 320, 3556, 610, 1449, 14816, 1040, 27259, 20682, 666, 849, 1449, 1973, 1826, 593, 1973, 269, 3958, 267, 5411, 543, 9742, 619, 666, 10505, 32336, 2220, 11274, 689, 7314, 547, 3313, 952, 789, 616, 7392, 645, 269, 901, 1449, 3112, 10646, 1063, 7392, 589, 543, 519, 4686, 337, 7392, 9474, 563, 1103, 1034, 2477, 7392, 589, 568, 519, 1034, 1455, 1973, 1895, 269, 634, 6871, 540, 7392, 645, 7314, 568, 1360, 4756, 543, 949, 581, 811, 982, 476, 736, 260, 538, 930, 2477, 543, 538, 930, 4525, 269, 769, 519, 5177, 267, 1034, 1875, 1790, 539, 580, 872, 7314, 616, 7392, 589, 609, 513, 4130, 6871, 1373, 7392, 645, 543, 1256, 7864, 7392, 9474, 269, 1717, 267, 519, 6871, 540, 7392, 645, 10838, 1875, 1790, 539, 580, 872, 7314, 1281, 2408, 547, 581, 2810, 563, 1103, 7895, 580, 872, 7314, 267, 972, 568, 513, 2362, 9860, 540, 7392, 645, 269, 6601, 2644, 971, 607, 8061, 517, 1234, 343, 267, 3703, 1744, 2180, 4202, 267, 681, 698, 323, 565, 3149, 543, 645, 3305, 753, 723, 513, 2362, 9860, 540, 7392, 645, 2059, 609, 14655, 267, 24622, 8932, 543, 2806, 903, 7562, 1014, 14981, 269, 769, 930, 2477, 267, 538, 1978, 14981, 630, 1122, 681, 698, 323, 3326, 267, 21960, 2006, 267, 19377, 264, 972, 949, 581, 606, 29099, 1164, 6871, 540, 7392, 9474, 7314, 563, 1432, 786, 4755, 952, 513, 6539, 1084, 10953, 30564, 568, 334, 2044, 628, 26299, 3974, 888, 288, 26327, 6539, 29181, 949, 2408, 2635, 693, 4332, 855, 28201, 6385, 1369, 519, 1101, 7008, 540, 2395, 630, 325, 8172, 6539, 1084, 6794, 1040, 918, 8636, 839, 609, 30564, 568, 334, 2044, 628, 26299, 3974, 786, 1020, 16562, 8598, 543, 513, 1973, 13816, 4288, 949, 581, 2838, 2059, 609, 14021, 3797, 547, 7639, 269, 918, 8636, 839, 602, 9156, 1310, 2126, 949, 581, 2451, 609, 2766, 9133, 27394, 15727, 630, 1492, 1360, 1439, 540, 519, 2766, 10523, 1055, 1916, 1692, 666, 30564, 568, 334, 2044, 628, 26299, 3974, 581, 15286, 888, 2252, 519, 1973, 2010, 540, 519, 9723, 543, 15596, 616, 1634, 267, 1287, 1022, 1761, 2042, 666, 581, 10567, 543, 14284, 269, 1403, 606, 22424, 26702, 20282, 814, 3144, 1747, 267, 519, 6539, 29181, 1058, 581, 6569, 689, 519, 15596, 1354, 29186, 1782, 543, 1688, 556, 1563, 610, 27838, 585, 519, 1101, 476, 4366, 3108, 1310, 4332, 865, 602, 789, 798, 711, 4309, 519, 15596, 779, 897, 739, 5300, 799, 3568, 12489, 269, 1403, 519, 1973, 1826, 540, 519, 6539, 29181, 568, 13761, 1310, 4332, 543, 1336, 547, 581, 519, 1482, 607, 519, 15596, 267, 1287, 519, 6539, 29181, 666, 581, 8120, 547, 519, 15596, 269, 0, 13051, 1299, 32515, 779, 8865, 5811, 12315, 519, 1686, 540, 519, 2754, 538, 519, 2013, 269, 769, 713, 1686, 596, 1058, 1865, 875, 519, 2754, 3357, 883, 519, 3510, 4843, 538, 519, 2013, 269, 286, 769, 476, 3192, 278, 267, 1079, 2828, 267, 5484, 28137, 543, 32515, 5682, 7615, 267, 4956, 789, 941, 13110, 540, 2324, 585, 2576, 3116, 543, 4941, 547, 1376, 741, 1378, 1870, 269, 1358, 3576, 513, 2947, 13362, 19359, 1576, 593, 4672, 29931, 600, 1818, 267, 10519, 539, 606, 14460, 3154, 538, 8738, 28002, 267, 28599, 267, 543, 3323, 741, 1870, 609, 606, 5092, 540, 2073, 1822, 9489, 563, 5445, 3459, 1818, 1753, 13402, 4672, 29931, 600, 538, 513, 2185, 3766, 718, 517, 3575, 518, 267, 543, 1031, 2362, 3170, 267, 782, 2067, 543, 6986, 5820, 547, 3132, 513, 21950, 543, 23704, 1587, 269, 17652, 267, 519, 1870, 2968, 3811, 538, 519, 2199, 2146, 269, 5484, 543, 32515, 779, 29275, 15538, 540, 2146, 1759, 3785, 267, 1286, 333, 2526, 2982, 267, 543, 7260, 17334, 585, 5561, 538, 519, 18736, 2603, 12462, 13051, 543, 32515, 779, 13067, 17360, 10979, 31201, 281, 18227, 519, 17030, 1325, 633, 2223, 1040, 634, 1870, 4797, 547, 4228, 267, 543, 676, 476, 2735, 271, 5484, 543, 32515, 3459, 547, 10189, 533, 842, 20695, 4672, 29931, 600, 547, 9042, 538, 519, 2199, 17365, 8637, 563, 1607, 1131, 581, 519, 4098, 540, 519, 1804, 7269, 540, 519, 1870, 563, 20751, 513, 1032, 267, 5663, 856, 326, 4319, 741, 1699, 2679, 267, 543, 4238, 1185, 547, 581, 6410, 547, 513, 2034, 3135, 269, 19833, 941, 16042, 1269, 4335, 267, 1822, 9489, 269, 634, 2754, 4797, 547, 1332, 693, 606, 3328, 540, 476, 2568, 2600, 829, 1032, 269, 769, 476, 2735, 275, 267, 519, 5484, 543, 32515, 6035, 513, 28599, 26209, 6006, 799, 6659, 1269, 16020, 267, 1822, 585, 4070, 540, 513, 1007, 4238, 3135, 538, 4826, 12064, 269, 634, 1007, 3135, 4847, 585, 513, 3152, 2504, 543, 5484, 543, 32515, 3459, 26084, 25422, 269, 1635, 476, 1960, 271, 267, 519, 2754, 729, 9513, 538, 782, 2101, 6990, 12462, 13051, 543, 32515, 779, 13067, 17360, 10979, 31201, 281, 18227, 519, 17030, 1325, 633, 2223, 1040, 769, 476, 2735, 273, 267, 32515, 5682, 7615, 4956, 547, 4734, 519, 2754, 547, 1847, 547, 14151, 563, 297, 518, 787, 5433, 519, 2754, 729, 3478, 547, 1804, 543, 791, 5966, 269, 5484, 28137, 2968, 519, 8789, 3196, 538, 519, 2754, 267, 855, 538, 476, 2735, 276, 267, 32515, 8120, 269, 5484, 3964, 634, 5484, 1299, 32515, 779, 7690, 538, 476, 2735, 276, 602, 729, 13234, 676, 5520, 269, 634, 7690, 24603, 14828, 547, 26988, 3906, 269, 634, 2754, 8329, 476, 278, 269, 476, 276, 2600, 540, 840, 2389, 1314, 12434, 547, 519, 7690, 538, 606, 4674, 547, 3666, 12434, 609, 2146, 23918, 269, 5484, 5156, 538, 968, 322, 2130, 16851, 892, 543, 4941, 547, 1832, 513, 1523, 540, 5532, 13884, 585, 519, 2754, 12462, 13051, 543, 32515, 779, 13067, 17360, 10979, 31201, 281, 18227, 519, 17030, 1325, 633, 2223, 1040, 1612, 634, 2754, 779, 2208, 4797, 547, 4228, 267, 543, 5484, 2968, 1447, 5461, 538, 519, 3344, 540, 4881, 519, 1870, 269, 12049, 968, 2419, 4815, 892, 700, 4526, 729, 21534, 538, 476, 2735, 273, 607, 2489, 9614, 267, 543, 676, 476, 2735, 277, 932, 4815, 729, 3257, 782, 519, 2359, 540, 519, 2754, 269, 5484, 3459, 547, 5469, 602, 519, 3312, 1514, 5692, 540, 519, 2754, 729, 4098, 547, 581, 4503, 1813, 547, 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, 5655, 892, 1535, 476, 11011, 5608, 476, 1001, 280, 454, 302, 660, 9222, 3163, 4741, 267, 17842, 267, 4516, 454, 1103, 11812, 540, 519, 476, 2004, 628, 16683, 540, 519, 21011, 1982, 593, 5147, 476, 736, 267, 476, 1001, 280, 661, 330, 831, 2088, 3911, 597, 2617, 320, 2813, 713, 20538, 5251, 547, 21843, 519, 15851, 2078, 602, 3425, 2919, 609, 938, 2673, 9682, 910, 519, 9855, 269, 1520, 1681, 519, 9855, 2094, 519, 4098, 540, 942, 649, 5645, 513, 21173, 5326, 540, 9683, 621, 835, 1554, 267, 799, 6368, 5949, 3368, 513, 2540, 3516, 3842, 519, 21011, 5692, 269, 589, 2241, 16264, 5251, 6273, 519, 7376, 547, 1118, 513, 4224, 4677, 563, 763, 9855, 814, 2760, 5645, 5277, 1216, 269, 8616, 519, 4408, 540, 10923, 16264, 2934, 616, 4904, 609, 12084, 543, 15798, 269, 769, 519, 16494, 4224, 4677, 540, 519, 16264, 2627, 661, 330, 831, 2088, 3091, 3270, 547, 2099, 1216, 269, 1411, 666, 1265, 2786, 18116, 540, 13735, 1216, 543, 9764, 3270, 602, 2099, 1312, 6949, 908, 6329, 543, 1835, 11596, 593, 519, 9855, 269, 634, 5070, 1031, 538, 713, 10380, 568, 606, 606, 2180, 657, 12792, 30803, 1036, 14663, 1138, 592, 656, 932, 5319, 15477, 272, 267, 2919, 676, 3744, 547, 581, 9838, 547, 519, 1570, 1336, 593, 519, 9855, 563, 763, 10380, 568, 6273, 676, 5545, 4224, 10651, 269, 11374, 519, 3652, 540, 713, 1164, 1148, 267, 713, 4677, 568, 5497, 547, 708, 10028, 519, 15982, 9759, 540, 2470, 267, 711, 922, 4890, 5920, 267, 543, 547, 4196, 607, 606, 5351, 547, 9066, 827, 519, 3020, 2495, 540, 1272, 563, 5331, 3054, 9361, 4805, 538, 519, 1034, 22471, 559, 1747, 593, 519, 9855, 267, 631, 732, 2558, 534, 638, 650, 527, 15384, 267, 519, 13941, 3135, 540, 21011, 476, 1556, 269, 27297, 713, 4224, 4677, 269, 13772, 519, 10007, 267, 9361, 1851, 596, 5163, 1652, 585, 6634, 540, 1296, 267, 1152, 519, 18116, 540, 16494, 1216, 7444, 1847, 1472, 873, 267, 543, 596, 269, 6056, 540, 1272, 543, 922, 3020, 2495, 269, 12344, 538, 519, 16264, 4478, 1141, 1272, 568, 11613, 7543, 1813, 547, 519, 3668, 540, 5277, 1216, 267, 5214, 2339, 543, 1272, 5885, 2175, 267, 596, 786, 2097, 547, 519, 2626, 540, 519, 3020, 2495, 540, 1272, 269, 0, 1103, 1840, 267, 1514, 2923, 5867, 723, 1831, 5393, 3222, 540, 741, 3755, 543, 2445, 1344, 827, 741, 13588, 547, 1921, 609, 873, 538, 1585, 2081, 269, 4317, 5991, 564, 11529, 3896, 9365, 5549, 269, 568, 23900, 2324, 593, 513, 1007, 10229, 1062, 602, 1131, 1577, 2344, 619, 3077, 3755, 609, 18537, 1759, 593, 519, 7372, 5666, 540, 1344, 1004, 7866, 593, 519, 3135, 827, 2933, 269, 901, 949, 581, 606, 30907, 610, 5683, 4183, 547, 930, 2043, 269, 2368, 1004, 949, 2746, 11874, 1317, 789, 3494, 621, 568, 606, 12289, 540, 7834, 269, 2201, 519, 824, 1688, 267, 930, 2043, 949, 2972, 713, 4183, 1317, 741, 1514, 3060, 17767, 741, 4690, 543, 15920, 873, 1880, 22099, 17640, 547, 1346, 4690, 269, 3117, 28366, 899, 547, 3060, 609, 1004, 945, 723, 4690, 543, 13821, 602, 616, 2147, 547, 741, 1378, 269, 15706, 945, 3858, 547, 723, 741, 1514, 2923, 9043, 1857, 267, 1058, 581, 3222, 602, 6994, 23924, 723, 519, 2702, 547, 1491, 1344, 602, 4690, 873, 547, 581, 2111, 547, 6494, 873, 1344, 543, 22099, 547, 5818, 741, 6455, 269, 2494, 6162, 1902, 538, 1514, 2923, 547, 6536, 3347, 543, 2170, 609, 5561, 269, 901, 568, 606, 5683, 1259, 585, 9946, 547, 6494, 6835, 827, 741, 22099, 543, 2472, 547, 741, 6800, 563, 5415, 982, 1614, 5479, 1004, 538, 519, 1158, 616, 3742, 593, 519, 5769, 269, 3683, 519, 1296, 267, 519, 5769, 814, 16111, 6591, 811, 543, 811, 3755, 267, 17259, 689, 476, 278, 4343, 2929, 538, 476, 1220, 271, 782, 519, 1259, 547, 476, 274, 269, 273, 5479, 538, 476, 1001, 276, 269, 681, 5699, 476, 10037, 260, 540, 519, 1699, 2551, 538, 519, 2136, 2276, 814, 930, 1826, 540, 1514, 2923, 9043, 602, 789, 4497, 609, 4749, 269, 16353, 6049, 6165, 568, 6225, 585, 1514, 2923, 6725, 1317, 540, 741, 1357, 19855, 7207, 799, 1450, 2043, 7525, 1569, 547, 1514, 13033, 4609, 269, 16353, 11436, 723, 12012, 519, 2619, 3562, 1790, 21332, 1184, 676, 3850, 6800, 547, 3362, 3489, 14499, 543, 1587, 1344, 538, 1483, 942, 269, 1358, 723, 849, 4847, 3549, 547, 7683, 7618, 543, 9337, 741, 13794, 269, 3509, 3549, 616, 1631, 8380, 30040, 630, 30022, 15863, 264, 9479, 2059, 609, 2472, 585, 2043, 547, 1569, 519, 2754, 3896, 610, 2228, 2533, 609, 741, 5100, 11436, 269, 4825, 841, 619, 946, 30040, 9479, 547, 7520, 7082, 5872, 609, 12478, 676, 16046, 519, 3009, 547, 6216, 7270, 267, 3260, 687, 267, 1587, 1344, 267, 543, 1022, 824, 5985, 10276, 12574, 1543, 269, 769, 1840, 267, 7464, 6066, 536, 27570, 946, 538, 519, 5985, 10229, 2872, 568, 1164, 543, 8375, 1813, 547, 922, 1871, 585, 593, 7308, 30559, 1357, 19855, 269, 769, 476, 1001, 273, 267, 715, 1410, 720, 267, 513, 8502, 540, 1483, 942, 536, 27570, 538, 5985, 10229, 4080, 513, 476, 4391, 260, 2333, 538, 8907, 1142, 3923, 269, 1520, 325, 4577, 267, 1776, 5985, 29275, 13629, 3760, 267, 4080, 606, 2333, 540, 476, 2420, 5479, 740, 13668, 602, 1482, 1032, 563, 16446, 9016, 267, 610, 2147, 1514, 2923, 5867, 971, 607, 853, 18443, 16270, 610, 6226, 326, 267, 616, 4998, 585, 4687, 8903, 1543, 269, 2060, 936, 476, 273, 5479, 2985, 5784, 513, 3923, 267, 23749, 814, 6909, 1514, 2923, 6725, 1761, 267, 855, 2344, 619, 1058, 581, 19230, 602, 1152, 5963, 2189, 267, 4277, 1543, 786, 581, 20888, 269, 5403, 532, 593, 23749, 568, 4730, 609, 3595, 1765, 11357, 2466, 838, 20632, 610, 16765, 569, 6455, 25700, 1543, 543, 707, 1870, 1223, 1205, 10874, 730, 676, 713, 5393, 10509, 1606, 822, 11803, 2146, 563, 5194, 851, 540, 590, 4932, 568, 1514, 2923, 6725, 630, 306, 12613, 1040, 590, 12613, 568, 513, 1826, 540, 6725, 602, 3322, 29227, 1514, 2923, 547, 3310, 6800, 602, 835, 2754, 779, 2472, 543, 5924, 2533, 616, 3407, 269, 2368, 540, 519, 5767, 7811, 8441, 1331, 3406, 2599, 6725, 2359, 630, 306, 4932, 300, 1040, 590, 4932, 300, 12211, 547, 2238, 1519, 22048, 855, 6212, 593, 2132, 593, 5092, 630, 4629, 296, 264, 2359, 3079, 540, 4143, 6808, 2679, 630, 553, 568, 519, 2013, 540, 13416, 22048, 1040, 590, 4932, 300, 849, 26779, 5214, 22048, 267, 3843, 547, 3035, 1283, 20823, 1510, 1210, 6976, 1797, 547, 3035, 621, 267, 543, 2628, 829, 4945, 22048, 269, 1280, 1383, 267, 930, 540, 519, 3007, 568, 5116, 593, 519, 1357, 2985, 11768, 1374, 543, 875, 1543, 543, 1344, 568, 10268, 547, 519, 3896, 21233, 269, 22048, 1299, 590, 4932, 616, 1079, 22225, 540, 835, 6725, 2816, 543, 789, 1312, 2196, 2427, 676, 2427, 547, 3132, 1454, 1732, 2164, 982, 2519, 593, 1152, 835, 30361, 563, 2537, 338, 333, 2355, 2549, 1731, 636, 340, 513, 301, 984, 4512, 7489, 288, 557, 9105, 8807, 332, 14068, 5622, 1849, 334, 984, 7261, 16447, 4144, 23159, 19537, 1872, 22044, 7456, 341, 11875, 334, 9365, 674, 2293, 13645, 18637, 28982, 19743, 276, 31209, 5600, 4820, 344, 16740, 6390, 17749, 594, 28566, 309, 594, 13612, 8566, 718, 4997, 3223, 2131, 14970, 22711, 5020, 330, 2254, 24522, 518, 291, 727, 3057, 1723, 2717, 334, 631, 770, 31788, 20821, 9288, 20821, 1575, 23183, 641, 2967, 2890, 269, 24108, 9650, 338, 17186, 30531, 17186, 328, 631, 903, 10628, 3733, 2622, 715, 553, 5633, 268, 9383, 14505, 269, 680, 8921, 21830, 15528, 269, 745, 3474, 2401, 11202, 3212, 778, 3131, 4593, 2100, 26964, 623, 1460, 6339, 1773, 24642, 1627, 29773, 3367, 613, 2131, 11412, 1066, 31291, 1284, 756, 334, 22391, 569, 10965, 777, 23298, 19301, 8582, 28805, 9335, 5158, 2289, 328, 309, 313, 4210, 1301, 22105, 3022, 570, 2130, 320, 256, 21281, 9549, 7991, 28607, 27717, 570, 5407, 570, 719, 16515, 11230, 7641, 5384, 570, 3518, 331, 337, 12108, 772, 660, 1952, 323, 966, 3266, 966, 298, 1733, 529, 704, 2473, 18553, 962, 334, 454, 12892, 2923, 6725, 568, 513, 3532, 1259, 585, 4213, 540, 782, 7306, 547, 3914, 16548, 543, 5561, 269, 2659, 5561, 616, 2907, 15025, 609, 12478, 998, 1514, 2923, 267, 543, 952, 596, 2811, 711, 6340, 2047, 547, 707, 5304, 998, 1514, 5867, 899, 9365, 267, 12108, 267, 17749, 267, 543, 26964, 267, 596, 2811, 7508, 856, 256, 4279, 6725, 593, 1514, 2923, 666, 3142, 7415, 1967, 547, 707, 1870, 267, 2870, 13991, 6216, 15156, 543, 1256, 6117, 5012, 543, 6455, 563, 9743, 8183, 814, 8810, 3294, 513, 3532, 3760, 585, 2344, 619, 547, 3914, 741, 5561, 543, 16548, 998, 4687, 5961, 543, 5618, 6835, 269, 4340, 547, 513, 1353, 676, 15439, 2725, 25979, 267, 476, 10170, 260, 540, 519, 1158, 781, 4102, 12478, 616, 1631, 1210, 17749, 607, 513, 6725, 8756, 269, 1280, 3549, 267, 17749, 666, 581, 1031, 607, 513, 1907, 547, 1921, 543, 5968, 609, 1699, 543, 1761, 5561, 269, 634, 2754, 666, 1459, 513, 811, 2123, 4605, 540, 741, 6216, 267, 543, 676, 3257, 865, 519, 2754, 27711, 513, 1732, 543, 3020, 4605, 540, 3294, 269, 634, 2856, 540, 17749, 5961, 6013, 593, 593, 7308, 30559, 267, 513, 2631, 602, 519, 2680, 568, 8345, 1318, 1631, 267, 543, 602, 8591, 1776, 4494, 547, 519, 2123, 543, 4977, 4605, 540, 519, 2754, 269, 769, 1249, 267, 7338, 24419, 514, 267, 1071, 1922, 10133, 543, 16628, 540, 519, 1982, 667, 1662, 23747, 267, 7150, 602, 950, 646, 1237, 1407, 513, 5816, 3455, 781, 17749, 2022, 1354, 621, 568, 11540, 593, 519, 15773, 540, 513, 6216, 1010, 2754, 4564, 267, 1010, 1152, 2942, 5955, 568, 952, 621, 5654, 1932, 15054, 269, 834, 2005, 781, 711, 606, 21107, 8666, 2437, 646, 6045, 267, 834, 2171, 2811, 711, 3843, 547, 581, 513, 12139, 269, 1284, 2811, 3843, 547, 1711, 513, 4090, 1701, 6271, 4781, 17749, 2488, 519, 4316, 585, 3549, 547, 2992, 513, 3020, 4605, 540, 519, 6216, 5228, 519, 5133, 540, 519, 5561, 267, 585, 3236, 267, 1210, 519, 3593, 24378, 9115, 2219, 519, 814, 6255, 4711, 19015, 269, 4033, 982, 519, 12086, 543, 814, 6255, 4711, 3252, 267, 519, 17749, 781, 476, 1428, 29364, 7044, 543, 519, 5063, 3773, 2702, 547, 6494, 4357, 6835, 1063, 3755, 723, 8118, 1007, 3255, 585, 12478, 547, 1921, 609, 5561, 538, 513, 1007, 6708, 267, 2417, 5009, 2500, 6725, 593, 17749, 563, 22913, 7580, 6725, 2035, 543, 2645, 547, 2232, 6216, 2792, 538, 513, 3059, 1158, 269, 901, 7981, 1436, 7710, 1896, 3344, 540, 519, 1007, 3059, 6725, 1604, 267, 1519, 3584, 971, 607, 3059, 6725, 12642, 267, 3406, 2599, 11938, 267, 1514, 2923, 6725, 267, 543, 476, 274, 291, 24614, 269, 1879, 596, 2347, 519, 7913, 16373, 7981, 1436, 596, 786, 723, 513, 21950, 1620, 540, 519, 13210, 540, 519, 1007, 3059, 6725, 5251, 543, 10536, 513, 1007, 1305, 540, 2984, 267, 2035, 267, 543, 2645, 547, 948, 596, 25274, 1711, 267, 15814, 267, 3895, 543, 3902, 2472, 543, 2533, 269, 769, 476, 1001, 277, 267, 713, 729, 835, 540, 519, 1283, 476, 1015, 2027, 3074, 538, 2474, 540, 18934, 906, 269, 5442, 290, 18225, 15951, 519, 1101, 1576, 267, 16373, 538, 513, 7913, 2622, 267, 607, 835, 540, 634, 476, 1015, 670, 27796, 6732, 26643, 585, 28968, 538, 476, 1001, 276, 269, 769, 1840, 267, 713, 1576, 729, 849, 19486, 538, 519, 1283, 2947, 6030, 2066, 2789, 17834, 8016, 7426, 269, 7053, 267, 519, 7913, 16373, 25890, 729, 519, 1283, 524, 913, 1540, 15149, 593, 595, 2293, 5028, 538, 476, 1001, 276, 269, 5192, 811, 10311, 593, 519, 29286, 693, 5291, 2517, 21745, 1388, 5658, 7566, 2889, 12028, 2593, 270, 901, 7981, 1436, 568, 851, 540, 519, 2160, 540, 13325, 27587, 540, 6355, 10029, 4110, 1982, 267, 519, 1775, 300, 10621, 269, 6258, 811, 827, 519, 16075, 883, 519, 1982, 1934, 563, 8253, 1169, 2582, 740, 786, 2408, 593, 1169, 2582, 3406, 269, 901, 568, 1317, 519, 740, 25488, 3217, 513, 3099, 540, 2188, 883, 2272, 950, 8159, 519, 13307, 540, 18537, 593, 519, 590, 2207, 303, 267, 543, 1317, 711, 1169, 20438, 814, 6190, 5010, 8247, 547, 17854, 18071, 18537, 1985, 547, 2164, 269, 1717, 267, 519, 1079, 1292, 2188, 602, 5616, 27786, 607, 851, 540, 519, 740, 25488, 1184, 616, 707, 5021, 19915, 543, 519, 10866, 24143, 540, 707, 18537, 563, 14937, 11058, 22048, 8942, 547, 2087 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2999, 11417, 25215, 2945, 269, 2237, 6025, 272, 269, 2414, 21803, 3890, 1341, 834, 568, 3436, 982, 834, 1341, 512, 273, 269, 2414, 21803, 3890, 11850, 736, 1547, 1215, 1677, 960, 609, 5384, 306, 3966, 4147, 888, 14630, 11742, 740, 622, 815, 11261, 11742, 10422, 12838, 2891, 6187, 270, 2190, 270, 1220, 274, 8442, 3248, 14630, 11742, 536, 11845, 815, 11261, 11742, 10422, 12838, 2891, 6187, 270, 2764, 270, 1220, 274, 8442, 3248, 11742, 306, 3966, 512, 338, 815, 1007, 5384, 306, 3966, 630, 321, 11845, 11053, 6506, 910, 740, 622, 11053, 6506, 11850, 25215, 2945, 269, 2237, 263, 1206, 11053, 4973, 291, 904, 269, 2414, 21803, 20465, 1341, 27029, 25215, 2945, 269, 2237, 263, 1206, 11053, 4973, 295, 2293, 269, 2414, 21803, 3890, 1341, 834, 281, 257, 1341, 512, 338, 11053, 4973, 14737, 2373, 269, 2414, 21803, 3890, 1341, 834, 281, 257, 1341, 512, 338, 11053, 4973, 5353, 6948, 269, 2414, 21803, 3890, 1341, 834, 281, 257, 1341, 512, 338, 11053, 4973, 27908, 1047, 6948, 269, 2414, 21803, 3890, 3738, 3248, 2641, 1547, 7316, 666, 594, 1205, 1344, 593, 13648, 625, 538, 6789, 303, 12991, 4953, 888, 8269, 518, 19375, 15352, 781, 2376, 17943, 540, 13648, 625, 538, 6789, 303, 12991, 4953, 454, 2420, 1547, 6496, 6789, 303, 12991, 564, 1869, 5431, 519, 2518, 269, 14505, 3758, 888, 3008, 303, 12991, 564, 1281, 711, 5431, 519, 3044, 6789, 303, 2518, 269, 14505, 3758, 269, 5502, 621, 3096, 513, 3758, 3957, 2518, 269, 553, 1314, 609, 519, 1482, 910, 7132, 3606, 910, 10342, 563, 2537, 1547, 1215, 1058, 594, 6861, 1250, 3615, 538, 6789, 303, 12991, 564, 888, 3008, 303, 12991, 564, 2965, 814, 1360, 4396, 4835, 20203, 4015, 269, 1924, 713, 568, 711, 606, 3390, 607, 621, 729, 538, 3105, 8747, 540, 15765, 18218, 9664, 563, 29791, 547, 811, 1344, 912, 2190, 1547, 3657, 972, 2200, 2228, 609, 4388, 593, 6789, 303, 547, 6789, 303, 12991, 564, 24740, 888, 19859, 7809, 814, 632, 529, 978, 539, 634, 6789, 303, 547, 6789, 303, 12991, 4953, 24779, 19608, 948, 721, 6460, 6789, 303, 3817, 543, 3156, 547, 6789, 303, 12991, 4953, 269, 898, 1281, 711, 1118, 519, 7503, 1184, 4625, 13128, 267, 855, 621, 786, 3432, 909, 1788, 676, 3678, 908, 930, 540, 519, 3268, 2838, 585, 9194, 563, 763, 1739, 8943, 24779, 32113, 1218, 616, 5941, 538, 519, 3095, 2630, 563, 265, 6789, 303, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 265, 23285, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 265, 808, 9915, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 8269, 518, 20353, 7992, 547, 6789, 303, 12991, 564, 454, 265, 9786, 781, 6789, 303, 547, 6789, 303, 12991, 4953, 8943, 24779, 19608, 454, 265, 3627, 8891, 3205, 781, 2376, 9786, 781, 6789, 303, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 265, 14529, 23383, 28533, 821, 781, 2376, 3245, 6789, 303, 547, 6789, 303, 12991, 4953, 1862, 10266, 8393, 2336, 1839, 1547, 1215, 798, 594, 15476, 1250, 6789, 303, 12991, 4953, 3498, 547, 1250, 4959, 303, 781, 1357, 7746, 888, 7312, 4959, 303, 1590, 1101, 1711, 606, 594, 3041, 3498, 543, 4019, 519, 13571, 8525, 18218, 6987, 5014, 547, 621, 269, 3973, 538, 10439, 22456, 1547, 25892, 267, 2824, 519, 834, 19061, 1923, 25767, 5741, 257, 10624, 269, 3973, 4283, 519, 15745, 543, 2824, 519, 13571, 17273, 1357, 1569, 1505, 269, 634, 834, 290, 4878, 5741, 257, 4183, 12215, 782, 540, 519, 2556, 6119, 547, 707, 4959, 303, 781, 3684, 585, 707, 6789, 303, 12991, 4953, 3498, 547, 2196, 563, 2791, 666, 849, 674, 9143, 707, 6119, 547, 707, 4959, 303, 1357, 7746, 269, 1809, 596, 1590, 917, 799, 6119, 547, 14202, 269, 1280, 811, 3877, 3277, 11553, 289, 281, 22647, 6789, 303, 12991, 4953, 18768, 18859, 594, 3041, 593, 519, 1849, 1304, 8950, 610, 13571, 17273, 18218, 6987, 5014, 593, 519, 18218, 8950, 454, 2918, 1547, 4208, 798, 1775, 1205, 5470, 5048, 834, 27745, 711, 4452, 1826, 257, 8164, 594, 19584, 547, 1250, 6789, 303, 12991, 4953, 1357, 3135, 888, 7312, 3009, 1532, 12317, 785, 6119, 585, 2901, 707, 1547, 5684, 343, 610, 519, 2518, 269, 5684, 343, 2985, 723, 711, 1044, 5360, 1221, 269, 2422, 10439, 22456, 1547, 25892, 781, 834, 30395, 1923, 12706, 8827, 257, 10624, 267, 610, 2196, 519, 4971, 1899, 29085, 563, 2690, 811, 3877, 3277, 11553, 289, 281, 834, 27745, 711, 4452, 1826, 257, 5470, 5048, 950, 596, 19584, 547, 1547, 5684, 343, 2985, 454, 2767, 1547, 4024, 519, 5680, 30467, 590, 27942, 10574, 13126, 6944, 1503, 960, 609, 513, 3733, 21415, 4276, 888, 306, 27942, 10574, 13126, 6944, 1503, 13071, 596, 1921, 543, 960, 609, 9049, 14069, 24766, 267, 1247, 7457, 10574, 13126, 6944, 1503, 798, 519, 1482, 3364, 855, 585, 9049, 7457, 24766, 269, 4475, 590, 27942, 10574, 13126, 6944, 1503, 666, 1405, 948, 596, 538, 707, 3733, 306, 27942, 14479, 4586, 2690, 4045, 2032, 609, 3733, 306, 27942, 3277, 7457, 532, 3733, 21415, 18482, 609, 6789, 303, 12991, 4953, 454, 2764, 1547, 2052, 594, 9192, 5929, 6789, 303, 543, 6789, 303, 12991, 4953, 3817, 888, 3008, 303, 3817, 666, 2196, 538, 519, 1482, 3135, 607, 6789, 303, 12991, 4953, 3817, 267, 855, 596, 666, 1405, 3575, 538, 513, 2985, 269, 4746, 6789, 303, 543, 6789, 303, 12991, 4953, 4465, 1405, 2671, 741, 8400, 563, 3066, 1547, 1548, 568, 519, 3017, 1063, 521, 21683, 543, 8943, 5174, 12317, 785, 888, 306, 21683, 14487, 1797, 596, 11766, 519, 2707, 3009, 6119, 543, 3388, 568, 16432, 808, 3951, 630, 3286, 2987, 6066, 264, 607, 2877, 269, 3509, 1004, 4782, 713, 2094, 789, 1810, 1405, 723, 547, 16924, 5855, 827, 735, 4979, 543, 3190, 532, 609, 546, 961, 338, 4534, 621, 1175, 1568, 269, 2986, 1576, 267, 519, 2707, 568, 1631, 593, 519, 7746, 267, 585, 4896, 609, 1569, 547, 519, 7746, 4534, 855, 711, 1175, 4896, 593, 519, 1357, 563, 24927, 6826, 16442, 14487, 3085, 1405, 2731, 834, 4777, 257, 4376, 267, 922, 1175, 513, 25961, 585, 966, 306, 12991, 4953, 547, 12314, 519, 3009, 3758, 609, 519, 607, 29210, 3758, 269, 901, 568, 2556, 2094, 966, 306, 12991, 4953, 3678, 919, 519, 840, 16327, 4979, 602, 568, 9875, 676, 1688, 267, 543, 4061, 519, 590, 21683, 14487, 568, 849, 8854, 269, 3767, 972, 568, 1152, 513, 546, 961, 547, 11766, 267, 1100, 2707, 267, 865, 621, 568, 6157, 1732, 6870, 267, 4352, 922, 2141, 10920, 335, 559, 762, 1256, 1287, 563, 1789, 1547, 1215, 666, 594, 1205, 519, 1871, 540, 3403, 4216, 609, 1826, 6456, 538, 3009, 1532, 12317, 785, 888, 2791, 666, 1305, 519, 2196, 520, 284, 7746, 585, 519, 6456, 1852, 543, 596, 666, 946, 6513, 11243, 269, 19368, 547, 1205, 922, 1871, 538, 8943, 6826, 16442, 3758, 454, 4029, 1547, 594, 723, 2813, 513, 1547, 25892, 3593, 1852, 2985, 30285, 2444, 343, 264, 855, 594, 3112, 29289, 543, 2196, 621, 563, 27165, 1852, 630, 2444, 343, 264, 666, 1405, 581, 2196, 593, 621, 1378, 267, 855, 596, 666, 8749, 621, 5196, 1022, 1357, 2985, 630, 5684, 343, 264, 543, 1287, 2196, 621, 563, 3953, 1547, 1548, 568, 513, 1547, 637, 343, 3758, 888, 763, 1547, 637, 343, 4199, 3758, 3898, 5161, 540, 24701, 13366, 267, 799, 14574, 3615, 543, 12673, 3330, 24701, 16776, 269, 901, 568, 3730, 585, 31338, 269, 1280, 811, 3877, 3277, 8249, 538, 1547, 637, 343, 6119, 454, 3451, 1547, 1772, 621, 2009, 547, 946, 513, 2511, 6656, 1362, 2047, 593, 513, 1852, 3079, 540, 1210, 538, 1467, 610, 2985, 7400, 11249, 15017, 9336, 5680, 6944, 1503, 6508, 1852, 814, 513, 595, 1087, 12218, 3959, 799, 2636, 596, 547, 1305, 621, 781, 3898, 547, 513, 2511, 6656, 563, 4097, 1547, 2052, 594, 973, 10079, 1312, 14103, 1665, 1575, 585, 2985, 543, 3009, 538, 519, 6789, 303, 12991, 4953, 1357, 2985, 781, 2707, 3009, 6712, 538, 519, 5680, 11422, 888, 5591, 269, 634, 5680, 11422, 973, 773, 1407, 1152, 14103, 1665, 1575, 563, 5591, 2707, 3009, 610, 1357, 1852, 16105, 568, 5293, 1394, 547, 519, 1357, 11422, 563, 3374, 1547, 4208, 666, 1405, 594, 2322, 1141, 693, 519, 1283, 540, 606, 6789, 303, 311, 3758, 543, 2328, 1250, 7746, 20933, 20072, 538, 595, 15017, 763, 16163, 619, 6789, 303, 12991, 4953, 3096, 547, 1349, 3009, 689, 6789, 303, 311, 6119, 1174, 595, 258, 267, 10439, 9978, 12991, 4953, 267, 543, 23404, 5296, 12991, 4953, 269, 1411, 666, 2328, 7746, 20933, 20072, 538, 1022, 1893, 6462, 676, 513, 1547, 25892, 29085, 563, 3607, 1547, 6789, 303, 3817, 602, 5249, 890, 2739, 569, 593, 8837, 476, 1220, 271, 18218, 543, 594, 3041, 476, 276, 269, 271, 798, 711, 960, 593, 8837, 476, 1220, 274, 18218, 609, 594, 3041, 476, 277, 269, 271, 269, 6789, 303, 12991, 4953, 3817, 960, 5386, 269, 4208, 888, 9359, 9847, 23994, 9847, 6513, 19937, 9847, 8556, 13577, 13088, 9847, 543, 5595, 14467, 594, 3041, 15440, 563, 7883, 547, 519, 5680, 6796, 6987, 5014, 9184, 267, 4945, 15765, 18218, 9664, 267, 1287, 2046, 519, 834, 2704, 869, 257, 7735, 593, 519, 2451, 454, 4391, 1547, 4208, 798, 594, 1205, 5470, 5048, 834, 13286, 2870, 10198, 8915, 281, 18438, 2542, 1883, 3758, 1412, 4486, 4732, 333, 330, 262, 4534, 634, 1062, 3112, 1265, 519, 3758, 9138, 257, 888, 13425, 519, 4087, 540, 519, 1883, 4732, 333, 330, 3758, 3448, 547, 519, 10198, 3758, 269, 3629, 606, 8763, 2619, 610, 513, 3448, 2619, 563, 4343, 1547, 1215, 547, 1205, 15745, 1510, 13214, 11415, 888, 11415, 5569, 308, 686, 815, 834, 10674, 2517, 4178, 269, 27675, 22396, 4288, 2593, 270, 286, 573, 284, 272, 261, 879, 573, 284, 1626, 257, 3248, 308, 686, 1357, 19441, 815, 1007, 772, 686, 30415, 308, 686, 11850, 11415, 13214, 815, 1357, 19441, 269, 5226, 2044, 3248, 11415, 1357, 14766, 815, 5569, 308, 686, 2529, 889, 11415, 263, 271, 267, 5569, 308, 686, 11482, 2654, 910, 13214, 11482, 2654, 11850, 4375, 1547, 1548, 568, 519, 1655, 1259, 547, 3977, 1152, 942, 543, 711, 11261, 888, 8196, 11261, 11742, 607, 5205, 454, 2412, 1547, 1684, 594, 723, 547, 29289, 3009, 952, 594, 993, 4657, 519, 1543, 540, 1250, 607, 29210, 6983, 338, 3758, 888, 8133, 952, 596, 723, 1031, 8943, 2041, 16442, 6889, 3240, 269, 5684, 343, 6983, 338, 8487, 8253, 952, 596, 1031, 521, 21683, 6889, 3240, 269, 5684, 343, 6983, 338, 257, 538, 707, 2985, 17083, 563, 6078, 1547, 1215, 547, 10544, 519, 13288, 15745, 888, 25215, 2945, 269, 2237, 630, 32369, 269, 21589, 331, 8269, 518, 17243, 269, 2414, 21803, 3890, 5148, 0, 25889, 281, 634, 6532, 910, 4362, 676, 18332, 23333, 9331, 289, 4785, 538, 476, 14983, 275, 910, 729, 12306, 676, 519, 5053, 2038, 538, 519, 476, 1626, 628, 2540, 269, 634, 5065, 570, 664, 334, 12075, 267, 945, 1185, 20948, 25706, 585, 5553, 267, 941, 7930, 608, 32558, 730, 543, 8719, 676, 3979, 10437, 269, 4789, 25868, 519, 6532, 538, 476, 13679, 276, 543, 3964, 513, 24873, 4346, 1759, 593, 4006, 267, 23342, 267, 543, 6995, 269, 634, 20552, 540, 8474, 538, 476, 8146, 275, 15685, 513, 10116, 2929, 10437, 267, 1082, 540, 7247, 2968, 1507, 6705, 269, 25706, 7930, 5833, 2810, 7115, 689, 6628, 269, 769, 476, 4198, 279, 621, 8678, 824, 3703, 12144, 10125, 538, 8108, 519, 18966, 540, 519, 4639, 28851, 269, 25706, 6591, 2407, 7115, 950, 621, 24013, 4319, 689, 519, 18966, 538, 476, 3422, 273, 269, 667, 2678, 1640, 908, 2804, 2175, 1282, 519, 476, 3192, 271, 338, 3366, 547, 20443, 5208, 607, 15180, 14228, 338, 28337, 609, 519, 2101, 2797, 6105, 7960, 883, 3532, 6896, 6760, 5121, 3238, 538, 3486, 3075, 1159, 10212, 1782, 543, 2724, 561, 879, 837, 532, 269, 15329, 550, 6760, 267, 3075, 19338, 267, 543, 6710, 10460, 1713, 2591, 547, 519, 2229, 2221, 269, 16480, 267, 1082, 6917, 543, 18992, 2127, 2611, 5266, 2922, 543, 3565, 15186, 547, 519, 4346, 563, 19613, 281, 12144, 267, 6532, 538, 519, 12144, 7256, 267, 5045, 540, 18010, 454, 22704, 2244, 281, 476, 1015, 267, 279, 4029, 13483, 5998, 454, 22704, 1216, 281, 476, 8182, 13483, 5998, 454, 10870, 770, 1467, 281, 476, 272, 267, 28873, 5998, 454, 15575, 787, 2012, 6671, 1279, 1106, 281, 9039, 454, 15575, 787, 2012, 6671, 2110, 1106, 281, 25706, 454, 15575, 787, 2012, 5449, 281, 9039, 454, 16954, 1637, 281, 476, 273, 267, 279, 6924, 267, 23884, 630, 20809, 476, 1001, 272, 1609, 8094, 21848, 2497, 281, 476, 271, 268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 6112, 13750, 618, 20298, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 22091, 11306, 14052, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 8063, 906, 14052, 453, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 6112, 13750, 618, 262, 10142, 22592, 1684, 4311, 8029, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 4777, 13750, 618, 20298, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 14851, 1412, 9538, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 19677, 269, 2750, 16054, 14052, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 4777, 13750, 618, 262, 10142, 22592, 17776, 4311, 8029, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 8873, 13750, 618, 20298, 453, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 14851, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 2652, 1412, 282, 262, 6769, 4848, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 28432, 6769, 4848, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 8873, 13750, 618, 20298, 5897, 22592, 2913, 4311, 8029, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 2280, 13750, 618, 20298, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 14851, 1412, 9131, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 4848, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 22091, 11306, 14052, 453, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 2280, 13750, 618, 20298, 24653, 22592, 20309, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 13038, 7215, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 453, 453, 2750, 16054, 8266, 1341, 4082, 1341, 630, 10339, 1833, 8266, 3418, 453, 476, 453, 18257, 1477, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 10339, 1833, 8266, 20298, 453, 14851, 1412, 264, 262, 538, 476, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 10339, 1833, 8266, 20298, 4848, 16596, 1477, 453, 28432, 6769, 4848, 19677, 269, 22091, 11306, 14052, 4848, 453, 6112, 1412, 10086, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 15235, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 15235, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 10339, 1833, 8266, 262, 10142, 22592, 25285, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 2582, 4082, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 567, 453, 453, 10339, 1833, 23444, 23444, 266, 10339, 1833, 3418, 567, 453, 453, 18257, 1477, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 10339, 1833, 20298, 453, 19677, 269, 10339, 11306, 13900, 704, 14052, 453, 453, 6112, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 538, 18011, 266, 3299, 21029, 3299, 24003, 3299, 23367, 12887, 261, 2086, 282, 12887, 261, 2741, 282, 12887, 261, 25885, 282, 12887, 284, 12887, 347, 262, 8029, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 4848, 19677, 269, 10339, 11306, 13900, 704, 14052, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 10339, 1833, 262, 10142, 22592, 7215, 13900, 704, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 3559, 704, 1599, 602, 20362, 1114, 2474, 538, 606, 4082, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 4848, 453, 272, 9538, 3488, 2433, 5236, 376, 486, 266, 10339, 1833, 266, 24724, 1477, 4848, 453, 273, 269, 8339, 9166, 476, 453, 1211, 8595, 266, 1547, 1341, 1016, 709, 339, 710, 1341, 630, 1341, 4082, 8266, 1341, 476, 3418, 4848, 453, 274, 9538, 268, 262, 543, 1412, 349, 9166, 910, 610, 9625, 1776, 2165, 1477, 4848, 453, 275, 9538, 9131, 281, 453, 1211, 8595, 266, 314, 10339, 11306, 316, 567, 1477, 4848, 453, 276, 9538, 29602, 630, 9166, 476, 453, 1211, 8595, 1341, 5236, 376, 486, 266, 10339, 1833, 266, 24724, 1477, 453, 453, 18257, 1477, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 3410, 20298, 453, 14851, 1412, 3488, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 23785, 1582, 6230, 913, 318, 517, 3890, 567, 453, 1477, 4848, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 31476, 453, 453, 19197, 1412, 9538, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 273, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 269, 2750, 16054, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 5897, 453, 453, 19197, 25023, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 610, 1412, 349, 262, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 23785, 1582, 6230, 913, 318, 517, 3890, 476, 12361, 910, 610, 9625, 1477, 4848, 19677, 269, 10339, 11306, 13900, 704, 31476, 453, 453, 19197, 1412, 9131, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 273, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 269, 22091, 11306, 3890, 21506, 4848, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 31476, 453, 453, 19197, 1412, 3488, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 273, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 269, 2750, 16054, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 31476, 453, 453, 19197, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 711, 538, 1496, 8339, 12887, 263, 12887, 268, 12887, 314, 12887, 349, 11172, 6769, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 3890, 453, 5897, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 3410, 20298, 5897, 22592, 6724, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 2789, 6724, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 453, 453, 6943, 266, 12534, 11243, 1341, 263, 267, 1341, 1826, 266, 15254, 11243, 3418, 453, 453, 18257, 1477, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 12407, 2678, 8266, 20298, 453, 14851, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 11203, 1412, 264, 262, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 453, 6112, 18351, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 2652, 1412, 10086, 6769, 15235, 19677, 6230, 913, 318, 274, 1467, 14052, 4848, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 12407, 2678, 8266, 20298, 4848, 16596, 1477, 453, 28432, 6769, 4848, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 12407, 2678, 8266, 20298, 4848, 16596, 24653, 22592, 15254, 13356, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 11979, 610, 2361, 4756, 1477, 453, 453, 1478, 718, 3898, 6769, 453, 453, 263, 18878, 270, 7615, 1341, 1826, 1341, 15254, 11243, 1341, 263, 267, 266, 12534, 11243, 11924, 282, 1477, 453, 453, 18257, 1477, 453, 453, 31184, 815, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 15947, 453, 14851, 10917, 538, 18011, 18878, 12887, 7615, 262, 8029, 4848, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 5035, 309, 541, 13356, 20298, 4848, 19677, 6230, 913, 318, 274, 1467, 14052, 4848, 453, 6112, 18351, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 2652, 1412, 10086, 6769, 15235, 19677, 6230, 913, 318, 273, 1467, 3890, 21506, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 3890, 567, 1477, 4848, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 5035, 309, 541, 13356, 10807, 1363, 1477, 4848, 19677, 269, 12534, 13356, 14052, 453, 28432, 6769, 4848, 16596, 24653, 3698, 4894, 318, 1260, 618, 31526, 8029, 453, 18257, 1477, 453, 6358, 281, 338, 17532, 1899, 609, 8292, 1477, 453, 16059, 281, 338, 17532, 1899, 1510, 8292, 1477, 453, 18257, 1477, 453, 5976, 1930, 31526, 10086, 337, 10807, 607, 3561, 6769, 453, 453, 637, 815, 834, 29177, 453, 453, 12921, 760, 815, 8771, 1477, 453, 22610, 1899, 538, 3561, 6769, 4848, 453, 258, 1467, 815, 1899, 18622, 2897, 3488, 22207, 5257, 3418, 4848, 453, 1467, 815, 1899, 18622, 2897, 28361, 339, 3299, 5257, 3418, 4848, 453, 1012, 952, 1265, 12262, 6085, 267, 18419, 6085, 1477, 4848, 14851, 1899, 26098, 3488, 2260, 10807, 13843, 271, 6769, 15235, 453, 1467, 815, 1899, 11468, 1467, 26098, 3488, 2260, 10807, 15947, 15235, 453, 1467, 23785, 1412, 315, 333, 262, 1477, 4848, 14851, 1899, 26098, 3488, 270, 265, 10807, 13843, 271, 6769, 15235, 14851, 1899, 26098, 3488, 265, 270, 10807, 285, 271, 6769, 20930, 453, 1012, 1376, 1439, 538, 519, 1482, 1899, 1477, 20930, 453, 1467, 815, 1899, 314, 271, 281, 1467, 26098, 3488, 270, 265, 10807, 316, 1341, 1899, 314, 1467, 26098, 3488, 265, 270, 10807, 266, 273, 281, 15947, 15235, 28432, 6769, 20930, 453, 1012, 1152, 1376, 1477, 20930, 453, 1467, 815, 1899, 11468, 1467, 26098, 3488, 270, 265, 10807, 15947, 20930, 453, 1012, 952, 972, 616, 1869, 3009, 267, 649, 1058, 1039, 513, 1007, 1899, 1477, 20930, 453, 637, 6834, 1899, 1477, 20930, 14851, 7003, 263, 1467, 264, 285, 271, 6769, 4848, 15235, 453, 637, 266, 8782, 315, 333, 262, 1477, 20930, 453, 12921, 760, 815, 6936, 1477, 4848, 453, 1012, 1152, 1439, 1477, 4848, 14851, 1899, 26098, 3488, 270, 265, 10807, 2999, 271, 543, 1899, 26098, 3488, 265, 270, 10807, 285, 271, 6769, 15235, 453, 1467, 815, 1899, 314, 1467, 26098, 3488, 265, 270, 10807, 266, 273, 281, 15947, 15235, 453, 12921, 760, 815, 8771, 1477, 4848, 14851, 711, 1899, 14714, 8692, 28399, 15235, 453, 11666, 826, 1477, 4848, 14851, 18178, 6769, 15235, 453, 11666, 826, 1477, 4848, 453, 637, 23785, 1467, 1477, 16596, 759, 24653, 3698, 1899, 4671, 7505, 6500, 263, 1467, 8029, 453, 18257, 1477, 453, 6358, 281, 1899, 1510, 8292, 1477, 453, 16059, 281, 18351, 1242, 13544, 1893, 5897, 14851, 1265, 2027, 3090, 267, 16289, 519, 1913, 3105, 547, 519, 3090, 543, 21506, 453, 1492, 3090, 694, 704, 2299, 1477, 453, 1278, 3772, 267, 8237, 873, 676, 2230, 1477, 14851, 1265, 834, 2745, 1913, 2580, 4308, 609, 713, 1899, 14350, 1477, 453, 18257, 1477, 453, 1467, 815, 1899, 7456, 29328, 14052, 453, 637, 815, 1496, 15947, 453, 31184, 7272, 334, 5793, 815, 476, 271, 1477, 453, 12921, 760, 815, 8771, 1477, 22610, 4994, 267, 10420, 538, 26246, 263, 1467, 8029, 453, 14851, 1347, 538, 3090, 543, 711, 18178, 6769, 4848, 453, 637, 6910, 263, 1467, 314, 31184, 7272, 334, 5793, 281, 8161, 29573, 4848, 453, 637, 6910, 263, 10420, 3418, 4848, 453, 31184, 7272, 334, 5793, 815, 4994, 266, 272, 1477, 453, 14851, 1347, 2652, 1412, 1412, 543, 711, 18178, 6769, 4848, 453, 637, 6910, 263, 1467, 314, 31184, 7272, 334, 5793, 281, 8161, 29573, 4848, 453, 31184, 7272, 334, 5793, 815, 4994, 266, 272, 1477, 453, 14851, 1347, 2652, 262, 257, 262, 543, 18178, 6769, 4848, 453, 12921, 760, 815, 8771, 1477, 4848, 453, 637, 6910, 263, 1467, 314, 31184, 7272, 334, 5793, 266, 272, 281, 8161, 266, 272, 29573, 4848, 453, 28744, 263, 1467, 314, 31184, 7272, 334, 5793, 281, 8161, 29573, 4848, 453, 31184, 7272, 334, 5793, 815, 4994, 266, 272, 1477, 4848, 453, 11666, 826, 1477 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4061, 1114, 2372, 611, 8561, 547, 3914, 713, 1448, 269, 12160, 656, 2290, 13788, 519, 1483, 8996, 6388, 8600, 585, 513, 1454, 1114, 10912, 982, 12160, 656, 5565, 269, 2334, 568, 1175, 5386, 607, 621, 13352, 12160, 656, 2290, 543, 10274, 873, 547, 3035, 741, 5207, 1761, 563, 27396, 656, 5565, 9411, 513, 700, 25893, 15331, 2460, 2038, 835, 269, 898, 568, 7805, 602, 789, 6956, 519, 7087, 2035, 543, 4440, 1185, 4598, 547, 519, 2035, 538, 741, 1378, 1272, 269, 634, 11202, 3118, 13332, 849, 2982, 1445, 593, 513, 700, 25893, 15331, 623, 16104, 799, 607, 513, 7041, 585, 519, 6074, 10912, 799, 2877, 16913, 2259, 1354, 10024, 519, 1483, 8996, 6388, 13327, 523, 676, 741, 918, 1575, 10044, 269, 21894, 10912, 729, 4547, 2312, 1369, 12160, 656, 267, 621, 11438, 1390, 5539, 543, 865, 713, 1114, 2619, 585, 12032, 563, 290, 1735, 15078, 1107, 918, 1575, 10044, 19809, 540, 15443, 28371, 454, 763, 918, 1575, 10044, 585, 519, 12160, 656, 568, 3743, 585, 9306, 519, 12160, 656, 547, 519, 918, 1575, 10044, 7027, 607, 513, 4628, 8647, 4759, 540, 2486, 269, 6076, 15078, 949, 849, 581, 4371, 952, 972, 568, 606, 3390, 593, 513, 1880, 12160, 656, 610, 824, 6927, 1644, 547, 519, 1982, 563, 24836, 706, 566, 4386, 2390, 519, 12160, 656, 8757, 519, 2407, 1377, 540, 7087, 21481, 267, 2702, 547, 1685, 267, 3666, 538, 1272, 607, 7152, 267, 3811, 22920, 538, 1899, 609, 519, 23422, 5697, 563, 306, 23852, 268, 19798, 8577, 16774, 15760, 24315, 2316, 5746, 303, 19611, 454, 763, 7736, 25779, 540, 3666, 585, 519, 12160, 656, 1797, 602, 2409, 540, 4152, 741, 4567, 568, 741, 1378, 5539, 269, 769, 519, 1439, 267, 789, 616, 3743, 585, 741, 2208, 543, 519, 1152, 1259, 547, 917, 568, 547, 581, 2111, 547, 2995, 585, 3054, 269, 1452, 616, 1271, 1983, 585, 519, 12160, 656, 563, 1607, 2027, 2168, 1449, 20674, 538, 2542, 519, 10103, 538, 519, 1648, 24323, 543, 608, 27238, 269, 1703, 568, 513, 2603, 540, 1344, 4371, 538, 938, 4703, 17916, 7326, 585, 1018, 568, 1318, 543, 1434, 585, 721, 543, 585, 1866, 269, 2271, 340, 819, 4152, 568, 1031, 593, 513, 6024, 4493, 998, 519, 2866, 1982, 543, 998, 519, 1964, 540, 519, 12160, 656, 779, 1272, 269, 634, 6091, 540, 519, 1560, 616, 519, 9985, 7059, 15298, 547, 6542, 11029, 2242, 538, 1648, 799, 1860, 3114, 21356, 543, 5122, 10997, 538, 519, 1560, 269, 4804, 713, 835, 5578, 4805, 786, 32260, 519, 2702, 547, 5873, 14479, 563, 19187, 9066, 666, 581, 2944, 1282, 1022, 2534, 269, 901, 568, 513, 5578, 602, 568, 4121, 538, 16563, 543, 1287, 5645, 883, 519, 6846, 540, 1272, 269, 901, 568, 606, 1271, 851, 540, 2168, 1072, 563, 299, 25893, 15331, 21673, 566, 20970, 454, 10376, 12160, 656, 814, 606, 20772, 950, 789, 4497, 538, 513, 700, 25893, 15331, 23093, 269, 901, 6482, 13475, 741, 1378, 20772, 1354, 789, 4497, 543, 20674, 538, 7421, 519, 3635, 26063, 563, 763, 15937, 8682, 5025, 1087, 20156, 568, 711, 2944, 593, 1957, 269, 1703, 786, 581, 1100, 4574, 1472, 950, 1272, 568, 8345, 267, 1310, 22692, 543, 856, 538, 2486, 269, 634, 4245, 1590, 581, 593, 519, 3330, 269, 634, 4879, 3217, 1747, 1063, 519, 918, 1575, 10044, 543, 519, 12160, 656, 538, 513, 1747, 540, 741, 7446, 269, 8625, 267, 519, 918, 1575, 10044, 543, 519, 12160, 656, 5968, 2394, 972, 568, 606, 4656, 543, 10103, 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 ]
[ 0, 258, 1548, 616, 519, 3670, 25066, 3252, 540, 606, 5086, 2496, 1012, 1548, 616, 519, 3670, 25066, 3252, 540, 606, 5086, 2496, 2414, 6218, 519, 3670, 25066, 3252, 540, 476, 18597, 5232, 1210, 519, 1770, 5858, 267, 1246, 891, 3268, 1384, 272, 269, 8571, 519, 4605, 269, 4429, 273, 269, 19130, 538, 519, 13080, 540, 519, 7953, 543, 519, 30494, 269, 4429, 274, 269, 4855, 519, 20534, 540, 519, 5086, 269, 4429, 275, 269, 4855, 519, 25482, 540, 519, 5086, 269, 4429, 276, 269, 4855, 519, 17242, 540, 519, 5086, 269, 4429, 277, 269, 4855, 519, 524, 846, 322, 656, 540, 519, 5086, 780, 1015, 780, 1012, 1215, 798, 596, 3314, 519, 3670, 25066, 3252, 2496, 763, 20534, 267, 25482, 267, 543, 17242, 12753, 538, 513, 1318, 6906, 666, 581, 15422, 676, 8204, 873, 607, 12673, 540, 5022, 267, 585, 3236, 14298, 295, 4211, 288, 295, 6874, 29151, 538, 2296, 281, 590, 710, 815, 11534, 5242, 21680, 23738, 26664, 269, 15328, 710, 815, 1520, 329, 8809, 21680, 23738, 26664, 269, 19358, 550, 815, 11534, 5242, 21680, 1520, 329, 8809, 780, 1012, 1215, 1082, 9764, 3252, 616, 972, 2496, 338, 1460, 9764, 3252, 692, 1012, 1548, 568, 513, 2027, 5086, 2496, 763, 2027, 7285, 593, 519, 1770, 5858, 3277, 547, 519, 7285, 602, 723, 7222, 10974, 799, 666, 581, 12193, 609, 519, 25355, 14497, 269, 3267, 1452, 7285, 616, 4122, 2016, 607, 606, 4661, 540, 513, 25066, 1599, 971, 607, 519, 20534, 610, 25482, 3252, 780, 1012, 1548, 616, 2027, 5086, 8424, 2496, 26807, 5086, 8424, 616, 2016, 2027, 4408, 1759, 593, 741, 3448, 2990, 547, 835, 1776, 610, 1759, 593, 519, 2040, 540, 741, 9757, 3800, 269, 1520, 329, 8809, 7285, 269, 1520, 329, 8809, 7285, 616, 1022, 1079, 7285, 602, 2671, 513, 1455, 2427, 19459, 519, 1079, 7285, 543, 602, 2671, 513, 1455, 14584, 780, 1012, 1215, 798, 596, 4020, 513, 2027, 5086, 2496, 17746, 2315, 540, 27449, 676, 1210, 3281, 817, 692, 272, 269, 630, 328, 264, 8571, 513, 18422, 29314, 269, 4429, 273, 269, 630, 328, 264, 14716, 606, 5086, 19110, 288, 7495, 815, 476, 2568, 4113, 607, 3254, 269, 4429, 274, 269, 630, 328, 264, 6875, 1022, 18422, 29314, 269, 4429, 275, 269, 630, 328, 264, 6875, 513, 18422, 29314, 269, 4429, 276, 269, 630, 328, 264, 2991, 1818, 476, 3445, 4113, 5086, 1491, 700, 543, 715, 607, 8998, 543, 2721, 1079, 9095, 338, 5969, 1142, 824, 693, 590, 269, 4429, 277, 269, 5153, 540, 14716, 281, 4429, 278, 269, 630, 328, 264, 20472, 19110, 288, 8016, 815, 476, 6344, 4113, 27250, 1012, 1548, 568, 513, 476, 4037, 4110, 5086, 1572, 2496, 12585, 281, 8650, 5086, 12845, 5086, 1063, 476, 271, 543, 476, 3445, 5232, 780, 1012, 1215, 798, 596, 4020, 513, 476, 4037, 4110, 5086, 2496, 1692, 547, 20472, 476, 4037, 4110, 24234, 692, 272, 269, 5153, 476, 272, 281, 8571, 513, 1899, 10126, 609, 1439, 4812, 744, 543, 589, 563, 273, 269, 5153, 476, 273, 281, 8571, 606, 9095, 609, 744, 607, 8998, 5969, 519, 1899, 10126, 29314, 693, 1448, 645, 609, 513, 22315, 563, 274, 269, 5153, 476, 274, 281, 18227, 519, 8953, 1482, 267, 8571, 606, 9095, 609, 645, 607, 8998, 5969, 519, 9095, 693, 595, 780, 1012, 1215, 798, 596, 4020, 513, 476, 2420, 269, 276, 5086, 2496, 10376, 786, 581, 476, 2568, 4110, 269, 1656, 20312, 624, 519, 1899, 621, 786, 581, 476, 3445, 4110, 269, 3767, 20312, 624, 519, 476, 3445, 2554, 516, 267, 621, 786, 2285, 596, 476, 3393, 4110, 269, 11088, 20312, 624, 713, 476, 3393, 4110, 267, 596, 786, 1205, 476, 2420, 780, 1012, 6904, 5086, 568, 476, 3393, 4110, 2496, 288, 2786, 5086, 3800, 476, 5197, 4113, 269, 1323, 5086, 666, 581, 6027, 1210, 513, 1486, 847, 528, 267, 543, 519, 5086, 540, 2268, 476, 3445, 5232, 568, 1572, 513, 1318, 5086, 269, 769, 513, 1318, 5086, 267, 519, 1079, 7916, 616, 13902, 547, 1142, 824, 269, 1879, 519, 1318, 5086, 568, 5258, 883, 1079, 3160, 2694, 1142, 5086, 3800, 476, 3393, 4113, 780, 1012, 1215, 798, 596, 4020, 513, 476, 7367, 269, 276, 5086, 2496, 11405, 2433, 1677, 4020, 606, 5086, 540, 476, 7367, 780, 1012, 1215, 798, 596, 4020, 513, 476, 10755, 4110, 2496, 1692, 547, 4020, 513, 476, 10755, 24266, 5086, 2496, 272, 269, 8571, 476, 6344, 4113, 5086, 1101, 563, 273, 269, 2991, 5373, 621, 267, 1287, 2721, 476, 3445, 4113, 4120, 563, 274, 269, 634, 5086, 1063, 519, 1079, 12345, 786, 581, 476, 1789, 4113, 267, 2721, 519, 5086, 20312, 10725, 563, 275, 269, 3767, 2390, 9819, 649, 1205, 476, 3445, 1341, 476, 1428, 815, 476, 10755, 780, 1012, 1548, 568, 519, 7110, 540, 476, 10755, 4110, 2496, 763, 7110, 540, 476, 10755, 4113, 568, 519, 5086, 602, 950, 3773, 547, 476, 10755, 4113, 3029, 513, 2786, 5086, 630, 5197, 4113, 3738, 780, 1012, 1548, 568, 513, 476, 10755, 4110, 5086, 1572, 2496, 659, 1393, 5086, 12845, 5086, 1063, 476, 271, 543, 476, 3445, 5232, 269, 1318, 5086, 12845, 476, 3445, 4110, 5086, 269, 1073, 339, 2224, 5086, 12845, 5086, 1063, 476, 3445, 543, 476, 5197, 5232, 269, 2786, 5086, 8584, 476, 5197, 4110, 5086, 780, 1012, 1215, 798, 596, 4020, 513, 476, 3445, 4110, 5086, 609, 513, 22315, 2496, 19686, 476, 273, 540, 476, 273, 281, 3414, 519, 5664, 540, 513, 7412, 21540, 618, 692, 272, 269, 8571, 513, 2786, 1899, 269, 2201, 513, 4062, 540, 1957, 267, 2721, 513, 1899, 10126, 540, 1022, 10375, 3259, 269, 4429, 273, 269, 17292, 1022, 1448, 593, 9474, 269, 4460, 621, 267, 543, 6003, 621, 744, 269, 4429, 274, 269, 3400, 321, 513, 22315, 269, 7046, 519, 22315, 547, 513, 8953, 513, 2370, 10156, 982, 2901, 589, 302, 610, 28267, 269, 4429, 275, 269, 22367, 651, 1079, 811, 9095, 338, 269, 4429, 276, 269, 8571, 519, 476, 3445, 4113, 5086, 780, 1012, 1548, 568, 513, 476, 3445, 5086, 1572, 2496, 14738, 7285, 2268, 476, 3445, 5232, 269, 5136, 339, 2224, 7285, 2268, 811, 982, 476, 3445, 5232, 780, 1012, 1548, 568, 513, 476, 3445, 4110, 5086, 950, 4758, 513, 8929, 2496, 8138, 12827, 10389, 24409, 666, 581, 2016, 2786, 538, 693, 513, 476, 3445, 4110, 5086, 610, 693, 513, 476, 3393, 4110, 5086, 269, 12315, 519, 13297, 693, 513, 476, 3445, 4110, 5086, 952, 596, 666, 9787, 476, 273, 6279, 540, 2960, 1063, 707, 14853, 543, 1101, 9416, 269, 3267, 1684, 711, 5905, 713, 1858, 2394, 596, 2285, 519, 13297, 780, 1012, 1215, 798, 596, 1265, 513, 476, 3445, 4110, 5086, 2496, 2252, 519, 5086, 568, 851, 540, 513, 6906, 267, 1039, 519, 3800, 540, 519, 824, 1079, 7285, 269, 634, 1614, 7285, 540, 513, 6906, 2141, 2698, 476, 5197, 5232, 267, 865, 952, 519, 2040, 540, 519, 824, 1079, 7285, 568, 476, 3445, 267, 1287, 621, 568, 513, 1318, 6906, 609, 513, 476, 3445, 24266, 5086, 269, 0, 258, 1280, 1164, 4187, 4452, 267, 23996, 16569, 3476, 2496, 5475, 2542, 713, 2626, 267, 594, 3893, 547, 917, 602, 6007, 16569, 827, 11192, 5279, 5258, 676, 1699, 2721, 780, 3383, 267, 13071, 8263, 519, 6453, 2066, 476, 273, 23525, 540, 6007, 568, 3586, 269, 676, 267, 3230, 309, 263, 17746, 656, 264, 815, 16843, 9681, 2252, 594, 4019, 1164, 4187, 4452, 538, 3126, 267, 1287, 1360, 1970, 1699, 786, 2095, 543, 519, 6007, 786, 581, 27071, 1256, 811, 7444, 780, 7069, 2243, 568, 267, 1772, 1250, 1620, 2953, 263, 528, 594, 993, 7508, 1945, 264, 2496, 263, 296, 723, 2760, 1500, 1022, 5547, 824, 982, 3366, 538, 3126, 267, 1706, 5537, 264, 296, 729, 2469, 547, 946, 700, 11403, 547, 2490, 593, 543, 1055, 3366, 8279, 269, 2423, 17067, 1775, 1031, 547, 1589, 602, 1164, 4187, 7472, 3002, 2330, 295, 284, 296, 317, 273, 305, 339, 2330, 543, 602, 1131, 8532, 513, 2603, 540, 1648, 24906, 538, 8022, 269, 865, 6007, 786, 581, 27071, 5488, 269, 1809, 2221, 1775, 1224, 602, 1657, 5532, 2022, 543, 1250, 2035, 4957, 780, 263, 296, 1810, 1405, 917, 2436, 713, 2243, 729, 4280, 1354, 269, 1317, 594, 1810, 1405, 917, 875, 798, 594, 3406, 585, 621, 269, 594, 22646, 6007, 543, 4187, 855, 9048, 767, 656, 2164, 3357, 269, 865, 594, 4280, 2243, 2020, 1892, 594, 1810, 1405, 1174, 596, 2243, 269, 5295, 540, 513, 5706, 633, 4452, 568, 4399, 2765, 346, 309, 317, 273, 2410, 305, 23201, 1924, 9493, 1695, 267, 519, 2362, 568, 1269, 305, 259, 519, 2539, 568, 519, 1379, 1862, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 3451, 454, 1892, 1879, 606, 3403, 568, 3586, 946, 519, 811, 5078, 4542, 269, 609, 6382, 952, 594, 568, 3586, 267, 946, 594, 269, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 4343, 454, 1892, 3733, 2243, 568, 267, 2221, 1018, 594, 1224, 543, 1287, 4294, 19315, 916, 1876, 269, 1772, 602, 2953, 286, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 2412, 454, 1892, 1317, 594, 1810, 1405, 917, 875, 798, 594, 3406, 585, 621, 772, 327, 332, 267, 519, 3406, 3046, 593, 519, 1283, 1318, 7790, 9612, 585, 834, 637, 626, 528, 4744, 11692, 2668, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 4366, 454, 1892, 1763, 626, 528, 4744, 11692, 269, 670, 7825, 332, 269, 594, 729, 10478, 585, 6007, 2073, 4187, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1428, 281, 1691, 692, 2690, 17033, 5706, 633, 13907, 267, 1379, 26632, 730, 666, 581, 7229, 609, 3230, 303, 815, 10001, 2330, 1141, 594, 543, 966, 666, 581, 2655, 21114, 1210, 7937, 332, 781, 4521, 267, 19838, 281, 3230, 303, 815, 594, 630, 7644, 264, 815, 594, 317, 273, 305, 9681, 17798, 1141, 707, 670, 3830, 2501, 689, 269, 2334, 1175, 3217, 883, 2272, 942, 607, 1134, 585, 513, 2698, 2530, 936, 942, 269, 1677, 2626, 707, 6161, 827, 1164, 4187, 1226, 2718, 1164, 3002, 267, 2362, 4187, 1797, 2539, 1699, 269, 5221, 1699, 568, 519, 16302, 2165, 538, 519, 1379, 3830, 267, 621, 11148, 547, 723, 811, 6310, 834, 8882, 26475, 257, 593, 519, 2698, 1379, 4616, 269, 1411, 3513, 1265, 602, 513, 476, 1015, 2129, 332, 19919, 609, 476, 1015, 309, 4294, 630, 272, 18041, 267, 476, 1015, 26334, 14386, 786, 723, 2362, 1379, 982, 513, 476, 1911, 2129, 332, 19919, 609, 476, 1015, 309, 4294, 630, 1911, 332, 288, 267, 1152, 476, 272, 26910, 1040, 1924, 538, 1249, 267, 513, 2539, 4187, 786, 1267, 538, 2362, 1699, 543, 17321, 27178, 693, 519, 1942, 540, 5488, 6007, 8963, 543, 811, 3002, 4744, 11692, 3842, 27856, 780, 763, 2626, 596, 5532, 814, 1259, 811, 593, 713, 267, 855, 585, 1264, 28467, 543, 547, 17412, 281, 23996, 19206, 616, 6027, 538, 1984, 2086, 3108, 9852, 25105, 1070, 799, 568, 3274, 875, 1082, 1984, 3554, 1186, 621, 666, 2322, 856, 585, 476, 272, 5662, 269, 589, 476, 4335, 332, 25105, 6007, 666, 3977, 476, 4335, 332, 288, 585, 5111, 476, 272, 5662, 269, 634, 6935, 568, 5276, 1932, 267, 865, 602, 1482, 6007, 1223, 2322, 856, 476, 7742, 332, 288, 585, 476, 273, 3108, 610, 476, 1911, 271, 332, 288, 585, 3368, 606, 5662, 780, 1892, 1924, 1699, 568, 16302, 602, 568, 519, 1292, 2601, 585, 3002, 6383, 269, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1428, 281, 1321, 454, 1892, 7711, 293, 26413, 7219, 634, 834, 10852, 2601, 585, 3002, 6383, 257, 568, 602, 519, 19919, 3096, 1379, 269, 1290, 7757, 8734, 476, 280, 267, 476, 1001, 277, 693, 476, 272, 281, 4649, 692, 288, 6007, 814, 513, 22194, 5279, 4390, 1269, 304, 318, 301, 259, 538, 519, 1931, 540, 476, 272, 547, 476, 1911, 13259, 585, 8912, 7082, 14726, 630, 8150, 267, 5985, 267, 1286, 6007, 3267, 1040, 634, 6007, 849, 814, 513, 22194, 6453, 1269, 308, 318, 301, 259, 1644, 547, 922, 7998, 543, 6189, 780, 2304, 936, 13678, 680, 1881, 2203, 540, 513, 6007, 3947, 513, 3586, 3977, 6453, 2394, 922, 5279, 568, 30701, 269, 1403, 596, 4019, 513, 3586, 4452, 547, 713, 630, 324, 3052, 269, 27856, 543, 27178, 267, 1100, 15175, 1070, 1287, 519, 942, 596, 666, 2196, 519, 4452, 689, 713, 6007, 1223, 581, 7229, 676, 454, 259, 339, 815, 1422, 2765, 346, 304, 5332, 2410, 296, 348, 815, 1627, 5332, 24206, 21702, 23334, 3709 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13718, 9223, 476, 2537, 4855, 519, 1739, 3970, 1210, 700, 262, 295, 641, 1388, 781, 4341, 269, 552, 274, 343, 910, 476, 274, 343, 1341, 273, 1929, 268, 1535, 271, 5609, 11054, 343, 476, 876, 476, 275, 269, 276, 522, 6496, 3502, 1401, 626, 476, 272, 269, 276, 9890, 589, 25021, 547, 1776, 2243, 786, 4688, 713, 3210, 269, 0, 15276, 268, 24934, 1511, 454, 314, 12749, 6012, 5472, 700, 1235, 6540, 1012, 8943, 9046, 692, 3245, 281, 9400, 5576, 636, 12329, 13595, 281, 8943, 9046, 11261, 281, 11205, 267, 476, 866, 4924, 476, 1708, 271, 476, 1691, 281, 876, 281, 3451, 910, 30588, 271, 692, 14187, 12784, 267, 594, 3112, 3100, 547, 4137, 856, 875, 547, 4368, 1250, 1612, 572, 6959, 585, 713, 3009, 269, 7102, 10372, 286, 5900, 3737, 616, 519, 12596, 594, 993, 1210, 269, 7490, 4063, 602, 519, 23940, 568, 538, 667, 9680, 3918, 2464, 267, 865, 594, 1031, 1312, 5430, 323, 1299, 521, 785, 780, 14188, 596, 692, 32178, 692, 24927, 12989, 1384, 260, 24868, 1963, 692, 260, 290, 17213, 24234, 267, 634, 3279, 454, 260, 289, 648, 267, 645, 454, 260, 1805, 6593, 267, 700, 454, 260, 15253, 1833, 22472, 267, 678, 454, 260, 21010, 532, 11425, 3259, 547, 1835, 1678, 268, 1301, 3259, 513, 267, 5223, 681, 284, 272, 21669, 454, 260, 22704, 540, 595, 2643, 5407, 2212, 267, 21926, 454, 260, 22704, 540, 623, 626, 517, 267, 7442, 454, 260, 24979, 3471, 3873, 1111, 15585, 1049, 17726, 267, 715, 1496, 14641, 300, 6540, 260, 2171, 616, 3168, 585, 11730, 630, 9064, 1070, 22704, 630, 9064, 1070, 623, 626, 517, 20653, 6290, 5455, 630, 9064, 13211, 260, 5575, 12045, 540, 4320, 530, 4135, 23940, 630, 323, 309, 7933, 263, 9064, 264, 13211, 260, 5575, 12045, 540, 9351, 530, 4135, 23940, 267, 630, 323, 288, 7933, 263, 9064, 11723, 260, 19152, 338, 692, 9064, 284, 1428, 4939, 314, 19592, 4181, 2639, 289, 815, 476, 1691, 4939, 314, 514, 2583, 2639, 299, 815, 476, 1691, 4939, 314, 514, 2583, 2639, 337, 815, 476, 280, 454, 305, 815, 476, 277, 454, 288, 577, 815, 476, 23211, 4939, 314, 514, 2583, 317, 273, 2639, 25721, 815, 476, 15150, 4939, 314, 514, 2583, 317, 273, 2639, 301, 815, 476, 5611, 271, 4939, 314, 14641, 300, 6540, 260, 13420, 725, 692, 309, 323, 284, 16733, 274, 269, 15221, 6795, 16732, 289, 317, 273, 4297, 270, 275, 12684, 299, 1109, 4939, 10472, 3830, 1568, 692, 309, 322, 284, 309, 323, 14370, 337, 268, 272, 264, 4939, 10472, 3830, 1568, 692, 309, 815, 966, 322, 265, 346, 272, 266, 271, 269, 276, 16868, 268, 272, 12684, 27007, 305, 23444, 272, 2275, 657, 323, 263, 9064, 4297, 268, 9230, 305, 317, 273, 9984, 338, 785, 317, 273, 263, 9064, 4297, 317, 271, 269, 276, 316, 10926, 288, 284, 288, 577, 266, 25721, 266, 9230, 274, 269, 15221, 6795, 265, 289, 265, 299, 8358, 273, 25011, 263, 305, 266, 272, 9984, 6523, 323, 263, 9064, 9984, 263, 305, 317, 273, 1606, 785, 317, 273, 263, 9064, 4297, 317, 271, 269, 276, 6540, 10000, 14352, 274, 269, 15221, 6795, 265, 299, 265, 301, 265, 338, 785, 263, 9064, 7565, 6523, 323, 263, 9064, 4297, 8358, 9230, 305, 317, 273, 1606, 785, 317, 273, 263, 9064, 4297, 22677, 271, 269, 276, 11924, 272, 2020, 260, 20479, 692, 306, 10547, 1744, 582, 476, 1708, 271, 268, 6349, 268, 866, 693, 476, 1724, 269, 6812, 269, 1789, 26666, 454, 20373, 281, 623, 7582, 3239, 692, 306, 10547, 1744, 582, 476, 1708, 271, 268, 6349, 268, 866, 693, 476, 1724, 269, 6812, 269, 5655, 26666, 454, 20373, 281, 623, 7582, 3239, 692, 306, 10547, 1744, 582, 476, 1708, 271, 268, 6349, 268, 866, 693, 476, 1724, 269, 6795, 269, 3953, 26666, 454, 20373, 281, 623, 7582, 3239, 692, 516, 2952, 3842, 4757, 547, 0, 258, 1234, 20287, 6341, 7204, 281, 519, 3808, 543, 519, 6388, 609, 681, 692, 296, 4312, 1044, 2542, 827, 18349, 10386, 585, 28662, 10803, 267, 543, 594, 723, 519, 1739, 1383, 1384, 11693, 1269, 344, 315, 13678, 715, 7268, 9064, 267, 272, 7751, 2073, 1269, 335, 7268, 9064, 9385, 13678, 595, 879, 16408, 263, 271, 267, 272, 29408, 1269, 336, 7268, 9064, 1923, 344, 6661, 335, 7268, 9064, 1923, 344, 264, 335, 7268, 9064, 3738, 8961, 1269, 326, 7268, 9064, 3738, 315, 13678, 715, 12169, 267, 272, 7751, 543, 586, 284, 272, 692, 10190, 267, 519, 1383, 3081, 281, 4399, 2765, 2715, 7117, 7268, 9064, 1923, 344, 264, 25452, 575, 7268, 9064, 3738, 7684, 31386, 2765, 2715, 1163, 13375, 28381, 28363, 2765, 2715, 2715, 630, 344, 10559, 9064, 3738, 7684, 3867, 476, 273, 7684, 25452, 476, 273, 7684, 1422, 2431, 315, 348, 1422, 10383, 1422, 2765, 2715, 476, 272, 25452, 476, 272, 266, 346, 1422, 9064, 7684, 3867, 476, 273, 7684, 7684, 25452, 1422, 2765, 2715, 476, 272, 25452, 1422, 6912, 2715, 476, 273, 19570, 7684, 7684, 1163, 13375, 28381, 28363, 2765, 2715, 2715, 22570, 9064, 910, 344, 264, 7684, 3867, 476, 273, 7684, 25452, 476, 273, 7684, 1422, 2431, 315, 348, 7684, 31386, 2765, 2715, 1422, 6912, 2715, 476, 273, 19570, 7684, 25452, 476, 272, 266, 346, 1422, 9064, 7684, 3867, 476, 273, 7684, 7684, 1422, 548, 1422, 6912, 2715, 476, 273, 19570, 476, 4151, 4399, 315, 6911, 296, 1174, 3592, 3388, 267, 855, 519, 2063, 1900, 568, 711, 865, 2312, 585, 803, 630, 1492, 8635, 1070, 1317, 2687, 602, 267, 1269, 300, 7807, 6912, 2715, 476, 273, 19570, 7684, 8607, 6911, 3719, 594, 1224, 519, 1739, 4214, 281, 1269, 300, 7807, 1495, 619, 564, 2715, 1422, 9064, 25452, 24101, 7684, 1422, 15153, 1422, 2765, 2715, 7117, 7268, 9064, 1923, 344, 264, 25452, 575, 7268, 9064, 3738, 476, 20954, 543, 594, 1589, 1269, 300, 7807, 2765, 3189, 6912, 2715, 476, 273, 19570, 7684, 25452, 273, 10592, 7069, 2034, 8969, 568, 827, 519, 6388, 2986, 713, 1383, 609, 681, 269, 32114, 519, 1101, 631, 267, 594, 946, 519, 1739, 3009, 692, 628, 283, 268, 10517, 263, 2793, 267, 1911, 271, 994, 328, 283, 268, 271, 454, 6112, 9217, 283, 1911, 271, 264, 19127, 9064, 272, 283, 268, 337, 17884, 263, 272, 267, 272, 267, 272, 994, 340, 283, 268, 14725, 604, 263, 272, 994, 604, 26086, 27045, 272, 14370, 272, 23444, 9064, 272, 317, 273, 30727, 19127, 328, 283, 268, 328, 266, 272, 454, 628, 5157, 316, 283, 268, 9064, 272, 454, 8679, 8679, 628, 454, 7290, 263, 628, 9239, 8649, 594, 7598, 621, 538, 519, 2953, 1259, 286, 1772, 621, 2953, 1250, 27008, 540, 519, 17911, 286, 594, 692, 763, 1101, 2243, 568, 15458, 281, 634, 8635, 11377, 13320, 346, 336, 12169, 24689, 9064, 20972, 326, 7268, 9064, 264, 13157, 272, 315, 15927, 270, 315, 2765, 346, 272, 7346, 6912, 346, 273, 19570, 24828, 346, 272, 10954, 9064, 317, 273, 315, 3686, 7807, 13320, 3189, 6912, 346, 273, 19570, 12453, 272, 10954, 9064, 317, 273, 4153, 548, 1422, 6912, 346, 273, 19570, 6525, 568, 2953, 950, 1210, 1269, 336, 12169, 24689, 9064, 21174, 10339, 315, 24877, 7268, 9064, 3917, 8203, 273, 270, 273, 315, 4153, 15927, 270, 28381, 272, 10954, 9064, 317, 273, 315, 4151, 3079, 540, 519, 5265, 3339, 2213, 5860, 630, 6518, 3339, 5314, 3586, 568, 711, 1634, 538, 6806, 1106, 1040, 1215, 1131, 596, 17589, 602, 519, 5580, 3808, 568, 4399, 6912, 346, 273, 19570, 348, 270, 273, 259, 3079, 888, 1842, 283, 268, 10818, 3287, 264, 346, 323, 17884, 3287, 267, 272, 267, 272, 12684, 26501, 879, 16408, 3287, 264, 8679, 17884, 1794, 284, 15759, 3433, 263, 1842, 16427, 2004, 267, 5611, 7751, 1998, 1277, 263, 628, 267, 22238, 284, 15045, 16604, 19885, 5035, 284, 6872, 267, 3712, 6889, 342, 17742, 8442, 7455, 263, 1842, 3287, 8358, 17884, 1794, 267, 5417, 284, 15045, 16604, 267, 331, 23424, 284, 273, 267, 3712, 6889, 338, 19652, 274, 8442, 476, 3040, 1411, 2811, 1318, 1862, 594, 729, 10442, 7445, 2765, 3189, 6912, 263, 273, 19570, 20972, 272, 266, 11513, 9064, 8703, 273, 14990, 259, 693, 519, 631, 4041, 630, 272, 538, 713, 2013, 1040, 8729, 513, 2603, 256, 1107, 1109, 16446, 30433, 4924, 476, 1839, 1412, 1704, 693, 476, 2537, 281, 4649, 0, 3682, 339, 19685, 609, 2645, 692, 9202, 281, 24951, 5565, 27842, 281, 4147, 4328, 5455, 281, 31131, 5999, 540, 513, 19881, 281, 31131, 5999, 540, 513, 5231, 12039, 692, 12812, 585, 17002, 3659, 324, 569, 4528, 540, 713, 1215, 2414, 692, 1012, 17438, 20518, 1903, 692, 5331, 513, 1362, 609, 476, 1911, 1053, 543, 693, 519, 1439, 540, 519, 19496, 789, 782, 3576, 519, 3803, 981, 269, 2991, 519, 4116, 28439, 519, 981, 646, 8068, 602, 513, 2603, 540, 1053, 20639, 1063, 476, 3583, 543, 476, 4037, 2600, 269, 589, 5594, 4130, 1895, 540, 1053, 1590, 723, 6594, 513, 2370, 9875, 607, 789, 3893, 1063, 476, 4037, 543, 476, 3445, 2600, 267, 543, 513, 2147, 21092, 1895, 4440, 6170, 811, 942, 693, 519, 2199, 1435, 1317, 789, 20639, 1063, 476, 4649, 543, 476, 3583, 2600, 269, 4634, 4686, 337, 941, 519, 2516, 602, 513, 1027, 610, 11207, 10514, 539, 519, 1449, 780, 2252, 519, 4116, 4941, 547, 14650, 875, 519, 9344, 593, 1010, 3803, 981, 941, 7856, 267, 646, 1223, 2721, 856, 513, 27008, 630, 5408, 7612, 476, 274, 269, 273, 269, 272, 264, 7474, 1131, 1397, 519, 1297, 540, 11400, 609, 8464, 602, 8593, 883, 1114, 9832, 780, 2252, 646, 1287, 26987, 1142, 6241, 538, 519, 27008, 676, 12270, 676, 519, 2698, 1297, 540, 11400, 630, 514, 713, 2013, 267, 476, 1911, 1070, 519, 27008, 1131, 849, 2285, 519, 4116, 513, 11315, 7447, 540, 519, 5506, 540, 16116, 606, 981, 693, 4351, 609, 513, 6060, 1063, 476, 3583, 543, 476, 4037, 269, 1403, 519, 4116, 4941, 547, 917, 1018, 519, 5506, 519, 981, 6060, 1131, 581, 1063, 476, 3583, 543, 476, 3445, 267, 646, 1223, 3274, 1039, 519, 9587, 602, 6719, 602, 2039, 1927, 547, 2285, 5128, 513, 2489, 2856, 780, 2252, 519, 4116, 3514, 513, 7455, 547, 519, 26987, 4528, 540, 519, 27008, 267, 865, 602, 519, 2698, 1858, 896, 519, 7455, 729, 3160, 547, 476, 272, 267, 646, 1223, 946, 5610, 547, 7447, 519, 5506, 540, 606, 981, 2348, 513, 6060, 1063, 1022, 1079, 2798, 269, 634, 4130, 519, 1858, 1063, 1079, 2798, 267, 519, 2539, 519, 5506, 602, 606, 981, 786, 723, 602, 6060, 269, 634, 3677, 519, 1858, 1063, 1079, 2798, 267, 519, 3152, 519, 5506, 540, 14477, 8939, 606, 981, 538, 602, 2039, 269, 1452, 17831, 616, 9672, 676, 519, 3312, 27008, 780, 4263, 713, 1448, 267, 596, 949, 581, 11842, 1946, 519, 4116, 1131, 1616, 547, 946, 513, 19034, 7455, 3079, 540, 1010, 3312, 27008, 547, 3313, 17831, 269, 634, 2601, 585, 713, 568, 602, 621, 568, 4443, 547, 5635, 14258, 267, 543, 3976, 267, 946, 873, 547, 2626, 2055, 269, 1403, 519, 4116, 3514, 14258, 547, 1896, 1032, 781, 4502, 540, 1277, 9999, 267, 646, 1223, 946, 873, 547, 3313, 952, 2348, 519, 1353, 8400, 1079, 2395, 1354, 519, 981, 5280, 610, 711, 780, 9202, 281, 24951, 5565, 27842, 281, 4147, 4328, 5455, 281, 31131, 5999, 540, 513, 19881, 281, 31131, 5999, 540, 513, 5231, 12039, 692, 12812, 585, 17002, 3659, 324, 569, 4528, 540, 713, 1215, 2414, 692, 29445, 10060, 1067, 476, 1220, 275, 268, 4962, 268, 866, 454, 285, 0, 258, 7665, 4476, 713, 20008, 6782, 781, 1858, 692, 272, 269, 9947, 476, 274, 267, 476, 1220, 280, 692, 2162, 715, 629, 21983, 514, 692, 296, 729, 17265, 930, 1617, 19041, 762, 11810, 950, 594, 3357, 2066, 606, 4277, 12366, 1436, 1966, 269, 634, 1966, 568, 713, 1384, 22428, 602, 513, 20008, 6782, 568, 7768, 540, 513, 13551, 547, 5529, 676, 606, 568, 30801, 6906, 269, 1403, 519, 3259, 540, 519, 15943, 568, 6378, 267, 1265, 519, 5021, 2009, 1858, 269, 630, 2690, 4605, 267, 1294, 281, 5291, 2517, 19112, 19657, 582, 984, 3089, 564, 2593, 270, 531, 321, 4548, 23218, 278, 1428, 270, 1372, 14410, 2006, 280, 9706, 550, 6782, 27970, 25589, 296, 2219, 621, 729, 513, 1187, 1966, 543, 23248, 930, 540, 596, 786, 3858, 269, 1306, 585, 519, 2626, 267, 594, 6415, 711, 1768, 1026, 569, 8746, 855, 594, 3893, 912, 2330, 288, 284, 15383, 10954, 2765, 346, 272, 2410, 275, 25490, 346, 274, 3686, 344, 317, 273, 9681, 4692, 4896, 6166, 602, 2496, 273, 269, 9947, 476, 274, 267, 476, 1220, 280, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1284, 666, 1118, 513, 3403, 1599, 538, 9226, 692, 4067, 815, 3403, 2891, 11767, 519, 8745, 2433, 19515, 720, 815, 703, 9272, 2891, 11767, 519, 2085, 2433, 834, 4297, 1948, 621, 781, 1058, 581, 2501, 538, 6715, 518, 3898, 3097, 2897, 815, 3403, 2891, 11767, 519, 1747, 2433, 19515, 4186, 716, 815, 703, 9272, 2891, 11767, 519, 3346, 1297, 2433, 834, 11723, 258, 11415, 11249, 5124, 966, 274, 269, 277, 454, 2745, 2891, 15916, 2622, 15419, 0, 5035, 25522, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3441, 267, 6991, 267, 2990, 267, 3742, 25716, 267, 7298, 18989, 267, 3595, 5334, 895, 6958, 32327, 22561, 267, 5734, 5334, 895, 6958, 32327, 22561, 2187, 1038, 1582, 6155, 600, 720, 815, 3441, 454, 1038, 1582, 269, 767, 6290, 815, 6991, 454, 1038, 1582, 269, 6570, 815, 2990, 454, 1038, 1582, 269, 5562, 815, 3742, 454, 1038, 1582, 269, 6665, 1043, 815, 7298, 454, 1038, 1582, 8807, 790, 5334, 895, 6958, 32327, 815, 3595, 5334, 895, 6958, 32327, 454, 1038, 1582, 19544, 527, 5334, 895, 6958, 32327, 815, 5734, 5334, 895, 6958, 32327, 692, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 6570, 815, 1582, 269, 6570, 1341, 1582, 269, 767, 6290, 692, 825, 1219, 2721, 4311, 2187, 1038, 952, 1582, 269, 6665, 1043, 543, 1582, 269, 5562, 912, 2018, 1948, 10691, 292, 281, 28611, 649, 9327, 1405, 2322, 513, 1820, 538, 1934, 267, 855, 713, 568, 513, 12990, 585, 519, 1483, 2721, 1599, 454, 2018, 1948, 476, 649, 1522, 946, 952, 649, 941, 1210, 27368, 610, 27368, 14706, 454, 2018, 1820, 3488, 31624, 2280, 3299, 1582, 269, 6570, 267, 1582, 269, 767, 6290, 2020, 825, 1219, 6861, 4311, 2187, 1038, 1582, 269, 5562, 815, 8771, 454, 1038, 1582, 269, 6665, 1043, 815, 8771, 692, 825, 1219, 4019, 5091, 600, 720, 4311, 267, 5734, 318, 15953, 2187, 1038, 1820, 4311, 6155, 600, 720, 267, 1412, 17043, 720, 2944, 547, 3299, 5734, 318, 15953, 2020, 825, 1219, 3595, 4311, 2187, 1038, 952, 711, 1582, 269, 5562, 912, 2018, 1582, 269, 5562, 815, 6936, 692, 0, 5228, 30220, 1104, 30220, 267, 31764, 12265, 267, 942, 29773, 692, 5035, 3557, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 3854, 267, 2551, 815, 7183, 267, 575, 31198, 318, 4752, 3553, 815, 910, 280, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 5115, 1388, 815, 3854, 454, 1038, 1582, 21014, 1637, 815, 2551, 454, 1038, 1582, 3052, 31198, 318, 4752, 3553, 815, 575, 31198, 318, 4752, 3553, 22562, 825, 1219, 4159, 4311, 2187, 1038, 1820, 3488, 763, 3854, 540, 1412, 1341, 1582, 20508, 1341, 1412, 568, 1412, 1341, 1582, 269, 5115, 1388, 994, 8931, 825, 1219, 1205, 9078, 5914, 22710, 4311, 2187, 1038, 2132, 30220, 269, 852, 263, 5503, 29773, 269, 583, 322, 264, 1341, 31764, 12265, 22607, 2293, 284, 1345, 3052, 31198, 318, 4752, 3553, 994, 8931, 825, 1219, 2594, 10734, 597, 2195, 4311, 267, 2698, 10734, 597, 2195, 2187, 1038, 1582, 21014, 1637, 6834, 2698, 10734, 597, 2195, 22562, 825, 1219, 2594, 318, 1372, 23411, 4311, 267, 2698, 318, 1372, 23411, 2187, 1038, 1582, 21014, 1637, 6834, 2698, 318, 1372, 23411, 28329, 1038, 1948, 2052, 1405, 723, 513, 2942, 2551, 454, 1038, 952, 1582, 21014, 1637, 2999, 476, 271, 912, 2018, 1582, 21014, 1637, 815, 476, 271, 0, 5228, 28184, 5793, 1104, 27661, 5228, 28184, 5793, 1104, 19429, 658, 690, 454, 5228, 28184, 5793, 1104, 5048, 7901, 454, 5814, 15259, 692, 258, 1219, 6449, 8181, 9191, 10174, 267, 4487, 815, 7183, 2187, 258, 476, 453, 10174, 269, 3667, 815, 7956, 6025, 641, 267, 4463, 815, 476, 1220, 267, 8700, 815, 476, 1220, 994, 258, 476, 453, 10174, 269, 3667, 4877, 871, 10797, 3698, 7046, 17572, 10031, 453, 343, 815, 19429, 658, 690, 269, 2532, 13449, 16344, 17575, 263, 30976, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 3758, 18196, 815, 630, 2891, 3667, 6119, 14824, 29688, 339, 868, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 29514, 570, 454, 453, 307, 815, 7956, 20172, 994, 453, 307, 4877, 871, 4590, 453, 307, 27044, 263, 21715, 267, 13449, 3287, 1040, 1348, 15405, 28768, 453, 258, 3597, 269, 641, 839, 815, 19429, 658, 690, 269, 2532, 13449, 12803, 9852, 1712, 815, 262, 337, 3299, 30976, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 2140, 815, 834, 15675, 3758, 2580, 3758, 18196, 815, 630, 2891, 3667, 6119, 14824, 29688, 339, 868, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 258, 609, 1930, 20172, 269, 641, 839, 264, 607, 3758, 912, 453, 258, 476, 22610, 1775, 538, 3758, 912, 453, 258, 476, 453, 453, 10174, 269, 3667, 27044, 263, 21715, 267, 328, 994, 453, 258, 3240, 9078, 8475, 815, 22443, 20172, 267, 1257, 284, 3597, 269, 641, 839, 1040, 17569, 4590, 28768, 3698, 16440, 17572, 10031, 453, 258, 10174, 4732, 2314, 815, 19429, 658, 690, 269, 3696, 1511, 553, 16344, 17575, 263, 30976, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 2140, 815, 834, 15675, 3758, 2580, 3758, 18196, 815, 630, 2891, 329, 701, 326, 6119, 14824, 29688, 329, 17989, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 338, 2314, 815, 19429, 658, 690, 269, 3696, 1511, 553, 12803, 9852, 1712, 815, 262, 342, 3299, 3355, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 476, 2140, 815, 834, 15675, 3758, 2580, 3758, 18196, 815, 630, 2891, 3667, 6119, 14824, 29688, 339, 868, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 258, 3667, 815, 7956, 20172, 994, 453, 258, 3667, 4877, 871, 4590, 14851, 17990, 568, 7183, 912, 453, 16596, 454, 453, 3667, 273, 338, 1511, 815, 1193, 24867, 10947, 263, 272, 269, 271, 267, 13673, 291, 4917, 453, 338, 2314, 22182, 29495, 273, 338, 1511, 994, 453, 338, 2314, 25379, 3890, 28768, 3698, 6168, 10031, 453, 10174, 269, 916, 326, 815, 5048, 7901, 20481, 16769, 2891, 10666, 14824, 1607, 568, 513, 2241, 7956, 15503, 269, 1422, 333, 2791, 666, 1930, 512, 868, 6119, 543, 267, 1422, 985, 1511, 873, 547, 1776, 4087, 257, 9239, 10174, 815, 570, 330, 3890, 3097, 10174, 26644, 9497, 23911, 717, 21397, 910, 5915, 334, 5602, 10174, 269, 6625, 4226, 14090, 3488, 19507, 518, 269, 4815, 5073, 5443, 340, 815, 32386, 20172, 264, 3097, 10174, 26769, 14808, 263, 5443, 340, 284, 5443, 340, 264, 3097, 258, 3667, 815, 7956, 20172, 994, 258, 3667, 4877, 871, 4590, 12803, 318, 5443, 340, 815, 32386, 263, 5443, 340, 264, 3097, 5443, 340, 14491, 6831, 2444, 1228, 10857, 8475, 8782, 17572, 3299, 10624, 284, 12803, 318, 5443, 340, 264, 8528, 12803, 318, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 15411, 3299, 4971, 815, 7046, 17572, 994, 12803, 318, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 24591, 1306, 3299, 4971, 284, 16440, 17572, 994, 12803, 318, 5443, 340, 14491, 26000, 1706, 1807, 3890, 8528, 12803, 318, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 2750, 527, 3299, 4971, 284, 10174, 269, 10181, 264, 8528, 15276, 5443, 340, 815, 32386, 263, 5443, 340, 264, 3097, 5443, 340, 14491, 6831, 2444, 1228, 10857, 8475, 8782, 20055, 3299, 10624, 284, 15276, 5443, 340, 264, 3097, 15276, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 10666, 262, 2073, 4971, 815, 6168, 264, 8528, 10852, 31467, 3890, 8528, 0, 5814, 5299, 454, 5814, 2979, 454, 5814, 19523, 692, 258, 29514, 4756, 454, 4148, 698, 318, 6247, 815, 476, 271, 7531, 258, 10818, 547, 2638, 2436, 519, 2016, 5569, 568, 513, 1297, 454, 3698, 2415, 318, 529, 5091, 580, 19304, 318, 1173, 2187, 672, 28768, 825, 585, 1775, 538, 1193, 318, 1173, 912, 672, 453, 31184, 815, 3921, 9217, 2020, 672, 14851, 630, 31184, 283, 4366, 610, 10917, 285, 6872, 264, 543, 1775, 256, 284, 8339, 12466, 672, 453, 825, 2132, 476, 271, 692, 825, 2132, 476, 272, 692, 258, 10818, 547, 2638, 2436, 519, 2016, 5569, 568, 513, 1915, 454, 3698, 2415, 318, 529, 318, 10420, 19304, 318, 1173, 2187, 672, 28768, 825, 952, 1193, 318, 1173, 314, 271, 316, 2652, 1412, 315, 5257, 1384, 672, 453, 1598, 318, 1173, 815, 3921, 19304, 318, 1173, 314, 272, 7481, 672, 16596, 1193, 318, 1173, 692, 825, 2132, 476, 271, 692, 258, 10818, 547, 1427, 516, 633, 519, 1871, 540, 513, 4756, 689, 519, 22712, 745, 921, 1239, 2497, 454, 3698, 22712, 318, 1091, 318, 4958, 4471, 557, 263, 15153, 318, 1091, 267, 28364, 318, 1467, 267, 15254, 17107, 825, 2518, 9206, 318, 6247, 692, 825, 585, 1775, 538, 2039, 263, 2017, 337, 318, 1467, 268, 272, 16427, 272, 16427, 272, 2187, 672, 453, 1467, 815, 22712, 318, 1091, 5157, 2639, 672, 28768, 672, 14851, 1899, 9131, 641, 11172, 2652, 1412, 8782, 543, 1899, 9131, 637, 11172, 2652, 15254, 912, 672, 453, 825, 952, 2415, 318, 529, 5091, 580, 263, 1467, 9131, 1173, 272, 11172, 2187, 672, 453, 672, 453, 4148, 698, 318, 6247, 815, 476, 272, 454, 672, 453, 672, 16596, 1899, 9131, 1173, 272, 262, 6540, 672, 453, 825, 3116, 912, 672, 453, 672, 453, 4148, 698, 318, 6247, 815, 476, 271, 454, 672, 453, 672, 16596, 910, 272, 692, 825, 9206, 318, 6247, 815, 476, 271, 454, 825, 2132, 910, 272, 7531, 258, 10818, 547, 2638, 952, 513, 1297, 568, 513, 1379, 540, 476, 273, 610, 711, 454, 3698, 568, 7272, 1077, 15058, 318, 273, 3799, 17107, 825, 2132, 562, 543, 630, 2254, 3799, 261, 263, 333, 268, 272, 4297, 2020, 692, 258, 10818, 547, 1685, 3586, 24208, 5688, 5314, 454, 3698, 3586, 6958, 13783, 318, 9953, 263, 15153, 318, 1091, 17107, 825, 524, 274, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 263, 15153, 318, 1091, 4297, 1384, 672, 453, 1467, 815, 22712, 318, 1091, 5157, 6540, 672, 453, 258, 321, 2435, 12427, 454, 672, 14851, 7003, 263, 1467, 264, 2525, 275, 912, 672, 453, 825, 2415, 272, 6831, 815, 2415, 318, 529, 318, 10420, 263, 1467, 9131, 1173, 272, 262, 7481, 672, 453, 825, 2415, 273, 6831, 815, 2415, 318, 529, 318, 10420, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 8931, 672, 453, 825, 952, 2415, 272, 6831, 912, 672, 453, 672, 453, 1467, 9131, 1173, 272, 11172, 815, 1193, 263, 1173, 272, 6831, 2020, 672, 453, 825, 952, 2415, 273, 6831, 912, 672, 453, 672, 453, 1467, 9131, 1173, 273, 11172, 815, 1193, 263, 1173, 273, 6831, 2020, 672, 453, 825, 1948, 321, 2435, 7132, 2433, 1412, 266, 7055, 672, 453, 825, 952, 1899, 9131, 641, 11172, 2652, 1412, 266, 12466, 672, 453, 672, 453, 1173, 272, 6958, 815, 2415, 318, 529, 5091, 580, 263, 1467, 9131, 1173, 272, 262, 7481, 672, 453, 672, 453, 1173, 273, 6958, 815, 2415, 318, 529, 5091, 580, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 672, 28768, 672, 453, 672, 453, 258, 18485, 519, 7440, 616, 21635, 454, 672, 453, 672, 14851, 2415, 272, 6958, 543, 2415, 273, 6958, 1384, 672, 453, 672, 453, 825, 1948, 821, 610, 1312, 519, 7440, 616, 13735, 1448, 2338, 454, 672, 453, 672, 453, 825, 952, 1412, 9538, 538, 1899, 9131, 1173, 272, 11172, 610, 1412, 9538, 538, 1899, 9131, 1173, 273, 11172, 912, 672, 453, 672, 453, 672, 453, 31184, 21223, 1998, 815, 10581, 263, 1467, 9131, 1173, 272, 262, 8079, 1341, 10581, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 641, 11172, 815, 1412, 284, 7055, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 1173, 272, 11172, 815, 1193, 6025, 11391, 21223, 1998, 994, 672, 453, 672, 453, 672, 453, 23437, 22712, 318, 1091, 5157, 6012, 262, 1173, 273, 23300, 672, 453, 672, 453, 672, 453, 322, 274, 815, 476, 272, 692, 672, 453, 672, 453, 825, 1948, 1492, 7440, 616, 9981, 454, 672, 453, 672, 453, 825, 3116, 912, 672, 453, 672, 453, 672, 453, 31184, 21223, 1998, 815, 703, 263, 1467, 9131, 1173, 272, 262, 8079, 1341, 703, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 641, 11172, 815, 1412, 284, 7055, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 1173, 272, 11172, 815, 1193, 6025, 11391, 21223, 1998, 994, 672, 453, 672, 453, 672, 453, 23437, 22712, 318, 1091, 5157, 6012, 262, 1173, 273, 23300 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2742, 267, 519, 10615, 540, 12624, 338, 2549, 14607, 600, 730, 4139, 1767, 602, 13241, 568, 3078, 585, 1053, 1317, 540, 519, 1445, 593, 15834, 1565, 1818, 621, 606, 11108, 1259, 540, 4051, 532, 267, 1565, 543, 5647, 269, 1358, 849, 9415, 7855, 543, 13538, 547, 1711, 513, 18398, 1604, 543, 513, 3099, 540, 2238, 585, 1453, 547, 2263, 13241, 563, 4263, 519, 1439, 540, 519, 13186, 267, 5171, 941, 2111, 547, 1174, 602, 952, 13241, 568, 5265, 6026, 267, 621, 8992, 7787, 3206, 267, 7279, 543, 606, 1620, 540, 519, 2470, 540, 3163, 267, 5303, 267, 7177, 267, 9119, 543, 16743, 10838, 1762, 20338, 269, 589, 16419, 13241, 2534, 6054, 729, 849, 3838, 10838, 2947, 630, 276, 264, 7855, 945, 4941, 547, 2253, 13241, 15731, 585, 6281, 1153, 1053, 269, 13241, 328, 631, 5474, 4000, 543, 12624, 338, 2549, 14607, 600, 730, 4139, 723, 1044, 2111, 547, 1780, 2066, 713, 1360, 1271, 5048, 540, 13241, 2069, 267, 1628, 2875, 6015, 543, 2327, 602, 789, 8275, 741, 1761, 563, 10287, 13241, 328, 631, 5474, 4000, 593, 281, 23562, 7867, 281, 7711, 23727, 328, 22152, 320, 9365, 281, 7711, 23727, 328, 22152, 320, 17749, 281, 7711, 980, 328, 8548, 5474, 318, 2378, 878, 320, 267, 570, 3518, 331, 337, 281, 7711, 980, 807, 325, 878, 629, 8421, 454, 296, 9188, 2986, 2317, 568, 4867, 513, 12854, 9906, 693, 519, 2160, 540, 2274, 2644, 269, 4173, 1382, 6212, 593, 3540, 2486, 543, 12477, 538, 5355, 519, 2298, 540, 2069, 269, 2701, 568, 519, 13653, 540, 19164, 25204, 19541, 543, 9375, 540, 19164, 25204, 27545, 269, 594, 9188, 568, 1360, 13730, 827, 2069, 543, 2870, 606, 8537, 2486, 269, 2701, 14753, 3943, 543, 2296, 2770, 1836, 269, 2701, 666, 581, 6603, 693, 18078, 17106, 11333, 3820, 0, 763, 4266, 1299, 1554, 1310, 476, 7761, 2395, 689, 4653, 4864, 476, 6860, 267, 568, 13638, 1554, 540, 1032, 267, 3018, 540, 1032, 267, 3018, 540, 3923, 1299, 10116, 540, 519, 1032, 538, 519, 15535, 20187, 11706, 1547, 1548, 4266, 568, 476, 7761, 2395, 689, 2221, 27085, 12433, 519, 4266, 602, 4386, 4010, 476, 7761, 2395, 689, 1631, 630, 21671, 1870, 2395, 610, 1152, 3018, 17058, 1040, 5239, 25038, 563, 763, 11261, 18185, 8591, 610, 10208, 338, 2395, 267, 4374, 267, 3275, 543, 1296, 689, 513, 2016, 4266, 269, 13600, 281, 1315, 269, 4303, 281, 1315, 269, 5729, 281, 11261, 281, 4653, 269, 5410, 270, 8138, 339, 847, 281, 22791, 264, 5410, 267, 630, 1700, 264, 16265, 847, 269, 13012, 281, 3933, 2195, 281, 1284, 4060, 281, 17963, 281, 3417, 519, 942, 6423, 875, 1279, 3788, 1354, 513, 21120, 610, 4010, 950, 1346, 476, 1789, 2395, 616, 909, 269, 2859, 5788, 25038, 609, 20446, 3983, 613, 269, 634, 2780, 21410, 519, 8653, 1063, 1079, 7389, 538, 1296, 267, 2395, 267, 3108, 267, 543, 901, 3498, 11887, 519, 5993, 267, 5662, 267, 3764, 543, 1297, 540, 7643, 1063, 1079, 2053, 610, 2395, 267, 3108, 267, 3764, 267, 3767, 281, 476, 5400, 270, 4962, 32551, 476, 5881, 7537, 25038, 3018, 9498, 4518, 1485, 9498, 25980, 9498, 4032, 6658, 269, 4270, 267, 2687, 547, 3194, 2494, 13519, 338, 262, 11706, 267, 2221, 781, 4266, 568, 11728, 267, 5147, 476, 272, 267, 547, 476, 7761, 2395, 689, 1631, 267, 649, 540, 1576, 20039, 585, 20014, 1032, 267, 875, 1082, 2395, 538, 563, 11754, 610, 10208, 2395, 267, 4374, 610, 3275, 689, 513, 2016, 4266, 910, 2241, 543, 2656, 4266, 9373, 2630, 875, 1082, 2395, 267, 3275, 3092, 269, 596, 1616, 547, 1039, 610, 10208, 269, 2395, 563, 9773, 9725, 29502, 269, 962, 16518, 269, 4653, 269, 8751, 6563, 269, 5410, 610, 16265, 847, 269, 1341, 11754, 267, 910, 8138, 901, 4266, 9498, 666, 1039, 610, 10208, 2395, 267, 4374, 267, 3275, 543, 5924, 1296, 547, 17006, 543, 18946, 7389, 1210, 513, 11706, 666, 581, 2352, 543, 942, 10438, 269, 9819, 8259, 596, 917, 519, 1808, 3275, 543, 875, 1279, 1142, 3923, 568, 563, 13911, 519, 1101, 4266, 630, 324, 3052, 269, 2221, 1040, 1215, 1082, 2395, 798, 596, 1616, 547, 1039, 610, 10208, 547, 519, 4266, 286, 2395, 4033, 9273, 538, 11706, 267, 10203, 2395, 3092, 269, 4855, 856, 875, 1082, 2395, 972, 616, 1063, 1022, 1079, 7389, 267, 552, 269, 634, 9498, 2636, 30486, 11706, 7389, 267, 855, 596, 3112, 3575, 30486, 543, 15535, 20187, 1547, 12433, 513, 4266, 476, 3445, 2395, 689, 1631, 267, 476, 2568, 2395, 1354, 2221, 267, 610, 1022, 715, 2395, 3057, 476, 272, 267, 1547, 546, 271, 267, 1535, 326, 267, 476, 274, 337, 267, 513, 324, 267, 554, 333, 267, 561, 332, 267, 552, 321, 267, 579, 320, 267, 524, 321, 267, 476, 271, 336, 267, 544, 323, 267, 552, 345, 267, 7117, 326, 267, 476, 275, 331, 267, 476, 279, 331, 267, 535, 345, 267, 530, 275, 267, 476, 274, 339, 267, 632, 267, 476, 279, 322, 267, 7117, 324, 2073, 476, 7761, 267, 10264, 267, 15848, 269, 9509, 5729, 13129, 910, 4303, 540, 519, 5729, 543, 17963, 2451, 11489, 519, 7736, 540, 519, 5729, 269, 476, 1724, 267, 13723, 267, 476, 7761, 267, 476, 1691, 267, 13628, 267, 476, 10463, 267, 476, 1428, 267, 11016, 267, 476, 10619, 10371, 4303, 22388, 1215, 1082, 2395, 543, 5924, 4374, 616, 972, 1063, 1079, 11706, 7389, 269, 5410, 610, 16265, 847, 4586, 11754, 610, 16265, 847, 7089, 540, 17963, 547, 513, 11261, 6726, 725, 910, 2228, 26732, 269, 5410, 610, 16265, 847, 513, 7089, 540, 1284, 4060, 543, 5924, 17963, 547, 513, 11261, 18185, 4303, 22388, 1215, 1082, 1296, 267, 3275, 543, 2395, 616, 972, 1063, 1079, 11706, 7389, 563, 763, 1032, 814, 2395, 269, 4653, 630, 1485, 11261, 267, 4303, 1297, 267, 17963, 6967, 267, 17963, 689, 2221, 1547, 476, 1724, 267, 630, 26607, 1070, 4303, 476, 7761, 267, 2073, 2073, 10432, 476, 1556, 267, 4939, 269, 3057, 563, 9773, 9725, 5999, 1299, 12226, 585, 3642, 18501, 32390, 1678, 1401, 4461, 267, 290, 2969, 267, 294, 12442, 267, 8890, 560, 32390, 1678, 14597, 2221, 568, 11016, 267, 1018, 1554, 540, 519, 3018, 786, 621, 581, 476, 4792, 2395, 689, 1631, 286, 563, 2005, 781, 4277, 267, 1317, 519, 2904, 534, 11706, 723, 2395, 543, 2947, 3063, 2395, 269, 3767, 1413, 1934, 267, 476, 7761, 1341, 476, 272, 1900, 593, 1283, 568, 476, 10463, 3268, 1535, 476, 276, 815, 2395, 540, 519, 1032, 269, 2060, 3102, 1344, 827, 11706, 1949, 267, 942, 10851, 267, 3140, 5712, 267, 12433, 519, 1699, 942, 610, 513, 3259, 540, 942, 543, 12337, 519, 3017, 1063, 7389, 269, 4855, 856, 519, 1699, 4266, 543, 942, 281, 1631, 269, 10410, 1518, 513, 4266, 676, 922, 1747, 593, 519, 11706, 281, 3791, 13638, 538, 4989, 1215, 1082, 2395, 2394, 8534, 4303, 27085, 1215, 1082, 2395, 2394, 8285, 7790, 568, 707, 8285, 4032, 6658, 8206, 5590, 621, 607, 707, 1753, 2457, 547, 1293, 519, 1297, 540, 2395, 2394, 563, 763, 31597, 3619, 3562, 6651, 585, 7981, 17963, 267, 1284, 4060, 543, 3933, 2195, 3798, 6002, 540, 932, 848, 781, 2622, 538, 476, 7761, 17963, 281, 7788, 643, 267, 3967, 476, 1839, 1306, 11017, 13665, 9061, 525, 2475, 593, 21696, 3724, 281, 7788, 643, 267, 7126, 9549, 5853, 532, 281, 7788, 643, 267, 9484, 476, 736, 715, 8582, 5853, 539, 281, 7788, 643, 267, 9947, 476, 1789, 3131, 9469, 563, 29687, 10185, 267, 5437, 476, 1321, 267, 3738, 2659, 1813, 4266, 568, 2395, 630, 4343, 4374, 264, 2663, 630, 11728, 267, 4864, 476, 276, 476, 2412, 4374, 9176, 267, 476, 271, 2395, 547, 979, 10371, 2904, 476, 1839, 267, 476, 7761, 2395, 547, 979, 269, 476, 1321, 267, 476, 1321, 267, 476, 6246, 267, 476, 7761, 267, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 476, 1724, 267, 476, 1724, 267, 476, 4510, 267, 476, 10463, 267, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 476, 1691, 267, 476, 1691, 267, 476, 3393, 267, 476, 10619, 267, 2073, 2073, 2073, 2073, 6156, 639, 630, 31142, 585, 834, 28669, 566, 8442, 568, 513, 9819, 602, 11887, 519, 11706, 4266, 540, 14914, 269, 2755, 14914, 1631, 8813, 693, 519, 9998, 593, 519, 476, 1428, 628, 540, 519, 16264, 3923, 543, 693, 519, 5767, 593, 519, 476, 2641, 560, 267, 538, 930, 2127, 267, 621, 1031, 547, 10371, 634, 16264, 1032, 568, 827, 476, 1556, 2395, 10156, 982, 519, 11706, 1032, 267, 799, 568, 2901, 610, 2395, 1279, 563, 288, 3018, 568, 513, 942, 1770, 3160, 547, 5722, 2395, 269, 898, 568, 519, 3044, 942, 1974, 1031, 585, 9979, 540, 1964, 476, 272, 15535, 20187, 11706, 1032, 815, 476, 7367, 4374, 1341, 476, 272, 1554, 630, 273, 2395, 538, 513, 20014, 1032, 5148, 476, 272, 3018, 815, 2340, 479, 482, 10371, 602, 3018, 781, 13628, 630, 810, 602, 952, 513, 1032, 6238, 538, 513, 1279, 15964, 11016, 1700, 306, 1495, 599, 267, 3018, 1297, 835, 540, 519, 1032, 786, 1376, 1310, 602, 1040, 594, 1294, 538, 519, 1473, 773, 2221, 602, 1507, 10909, 3328, 513, 7227, 540, 476, 7761, 2395, 547, 581, 1547, 1284, 2811, 2484, 689, 1804, 543, 1045, 4069, 593, 519, 476, 272, 560, 540, 519, 3923, 585, 2533, 269, 1280, 1383, 267, 519, 3259, 540, 519, 9341, 1032, 568, 4867, 2395, 269, 4728, 25668, 514, 2135, 1296, 616, 3160, 547, 2073, 2395, 267, 4849, 585, 513, 11539, 540, 476, 7761, 3764, 269, 4208, 1058, 649, 5855, 827, 602, 2221, 286, 2436, 513, 1032, 11706, 568, 269, 0, 18184, 1841, 2443, 1018, 6267, 1058, 917, 630, 20880, 264, 543, 581, 2111, 547, 798, 630, 12921, 1571, 1070, 4196, 607, 519, 5943, 585, 6437, 1646, 269, 11621, 538, 715, 4696, 1530, 22770, 6377, 13491, 626, 3506, 2992, 513, 19978, 1299, 13491, 626, 23381, 2066, 519, 918, 268, 1321, 21195, 607, 1134, 607, 519, 5610, 540, 3084, 543, 21621, 270, 8063, 4441, 563, 20112, 523, 19835, 9142, 24693, 519, 6426, 607, 519, 3044, 676, 799, 3388, 3116, 568, 6027, 269, 9050, 1883, 2035, 10836, 689, 513, 13400, 23381, 602, 666, 581, 1031, 607, 513, 7828, 585, 6437, 1646, 267, 607, 1134, 607, 26655, 519, 1898, 2055, 543, 2462, 2093, 540, 1022, 1543, 1858, 912, 18184, 1841, 585, 18520, 20043, 538, 1530, 22770, 6377, 13491, 626, 12140, 723, 1044, 2919, 547, 3391, 606, 14292, 1982, 602, 568, 29689, 609, 4168, 5132, 543, 606, 13491, 626, 23381, 269, 1323, 2069, 540, 713, 2186, 5012, 547, 2178, 4081, 2208, 543, 513, 2312, 4605, 540, 2441, 543, 3571, 2648, 585, 18495, 269, 1452, 4441, 1445, 593, 1018, 1053, 1058, 917, 267, 1174, 543, 581, 2111, 547, 798, 563, 13553, 776, 4441, 585, 519, 6035, 6030, 9585, 519, 1739, 281, 0, 14722, 723, 11943, 602, 519, 4279, 4446, 8175, 24035, 666, 1100, 3476, 581, 10710, 1317, 621, 568, 865, 8697, 563, 763, 726, 697, 540, 519, 11818, 568, 14356, 1813, 547, 519, 968, 2169, 571, 867, 2435, 4028, 640, 892, 540, 2916, 1689, 267, 2687, 547, 4966, 563, 763, 11818, 814, 1044, 16094, 8697, 676, 519, 8337, 540, 519, 12084, 267, 543, 1472, 476, 4817, 829, 1298, 540, 621, 23119, 689, 6926, 2286, 267, 2687, 547, 3744, 945, 23500, 621, 538, 476, 1001, 277, 563, 32546, 723, 1767, 519, 8733, 1599, 540, 519, 11818, 1058, 581, 9738, 607, 1454, 607, 2009, 538, 4947, 1296, 267, 855, 602, 519, 11818, 3294, 786, 711, 581, 10710, 538, 922, 1699, 1106, 563, 288, 12233, 540, 4966, 1305, 909, 676, 519, 8241, 2229, 1767, 519, 14758, 3077, 540, 968, 23181, 532, 519, 8733, 1599, 892, 540, 519, 11818, 568, 811, 10853, 982, 32006, 1645, 621, 563, 763, 4279, 4446, 8175, 24035, 13149, 5244, 16958, 6045, 1018, 713, 1131, 1611, 281, 968, 763, 1523, 540, 2048, 10852, 8877, 8733, 1599, 685, 4016, 547, 519, 3666, 540, 8733, 3157, 2556, 585, 519, 11818, 5117, 607, 513, 2898, 547, 6414, 267, 855, 5310, 538, 513, 1114, 1106, 267, 15663, 519, 5888, 543, 2497, 949, 8428, 689, 1018, 568, 4867, 2938, 2221, 9731, 5445, 1767, 789, 941, 968, 684, 1243, 538, 741, 6161, 827, 519, 3978, 1145, 540, 519, 5222, 6849, 519, 24035, 543, 11943, 602, 14147, 6926, 2286, 2094, 2038, 476, 1001, 277, 814, 4957, 519, 24035, 21739, 6100, 0, 300, 12818, 2088, 3131, 8527, 5130, 476, 273, 267, 476, 1708, 271, 18014, 15026, 11242, 454, 26660, 5288, 10829, 640, 269, 2368, 1863, 3211, 616, 711, 1434, 2298, 1107, 519, 5961, 616, 27967, 267, 10080, 1820, 15454, 610, 1179, 330, 1194, 1107, 543, 1453, 4043, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1412, 529, 972, 513, 2078, 1063, 2242, 538, 519, 1079, 5817, 4632, 286, 10807, 568, 12943, 676, 7384, 711, 519, 9756, 3294, 630, 337, 17032, 1070, 855, 2864, 519, 8579, 1449, 540, 602, 9756, 630, 335, 17032, 2020, 2691, 602, 8579, 1449, 568, 1713, 267, 621, 568, 519, 1101, 1900, 547, 18505, 2590, 519, 4527, 540, 513, 21465, 3060, 5817, 519, 2078, 1851, 4632, 971, 607, 2473, 543, 962, 692, 1892, 8074, 602, 519, 4527, 540, 606, 9678, 9756, 1281, 711, 17538, 513, 1880, 21465, 2078, 267, 610, 1256, 602, 1022, 21465, 3060, 6818, 692, 1892, 513, 9756, 1590, 581, 4767, 9846, 547, 581, 5156, 692, 1892, 1717, 267, 519, 4527, 540, 513, 9846, 268, 10849, 5703, 9756, 1063, 1079, 4632, 1281, 8197, 2303, 519, 4527, 540, 513, 1109, 320, 21465, 3060, 692, 1892, 513, 21465, 3060, 568, 711, 519, 1482, 607, 513, 2241, 21465, 6935, 1063, 1079, 4632, 692, 1432, 568, 519, 7954, 540, 19250, 1412, 11687, 532, 262, 513, 9756, 2496, 763, 2596, 7954, 540, 519, 8579, 9756, 1449, 568, 1759, 593, 519, 1249, 602, 267, 1256, 950, 972, 568, 1100, 5276, 2078, 1063, 519, 1079, 4632, 540, 1719, 630, 311, 543, 962, 1070, 513, 9756, 17223, 689, 6151, 1239, 786, 18562, 711, 581, 4642, 269, 1306, 609, 782, 8579, 4152, 596, 4061, 616, 12394, 547, 3313, 952, 519, 6027, 1871, 540, 519, 18802, 267, 519, 9756, 17223, 689, 519, 1239, 267, 568, 2484, 2614, 689, 4642, 585, 596, 547, 9959, 602, 972, 568, 538, 1249, 513, 5276, 2078, 1063, 2473, 543, 962, 780, 763, 8579, 1449, 540, 519, 9756, 19320, 519, 7954, 540, 782, 8579, 8367, 4255, 692, 1103, 5618, 281, 1109, 2171, 8263, 972, 568, 4642, 9756, 1063, 2473, 543, 962, 4632, 267, 543, 1287, 12337, 10386, 17831, 1759, 593, 713, 13429, 267, 547, 1294, 952, 519, 5506, 540, 1535, 3917, 1109, 323, 21648, 1115, 693, 2547, 607, 3665, 607, 519, 4767, 10471, 568, 1447, 982, 513, 840, 1606, 564, 21205, 780, 1892, 13405, 547, 1239, 4015, 267, 649, 5581, 1384, 1892, 634, 14275, 8367, 1496, 6518, 29102, 4642, 9756, 1063, 2473, 543, 962, 4632, 6540, 1892, 634, 1109, 5231, 910, 322, 761, 19118, 1496, 6518, 568, 2356, 1305, 547, 1109, 30336, 1109, 284, 476, 271, 269, 4962, 610, 476, 271, 269, 4905, 6540, 1892, 476, 1109, 2171, 1287, 12337, 519, 10386, 3892, 585, 519, 9756, 18802, 267, 14322, 602, 519, 14275, 8367, 568, 2953, 692, 1892, 1452, 10386, 17831, 2995, 721, 875, 4749, 649, 666, 2503, 547, 7747, 1239, 21374, 630, 337, 2418, 264, 540, 1585, 7306, 950, 972, 568, 2098, 2207, 302, 5817, 5276, 2078, 692, 1892, 634, 13672, 2275, 761, 19118, 666, 581, 2938, 3113, 1227, 607, 519, 2766, 268, 19327, 540, 519, 10386, 3892, 4171, 5506, 2527, 568, 1109, 7545, 630, 1492, 1858, 896, 519, 7455, 538, 8431, 269, 476, 273, 1063, 1109, 1923, 337, 347, 815, 476, 271, 269, 6246, 267, 519, 4767, 1239, 9756, 267, 543, 1109, 1923, 337, 347, 815, 476, 272, 2020, 1892, 3245, 519, 10386, 3892, 267, 12337, 519, 533, 17032, 25991, 692, 1892, 901, 568, 519, 1858, 896, 519, 7455, 1063, 1923, 337, 347, 815, 678, 323, 520, 543, 1923, 337, 347, 815, 476, 272, 630, 514, 8431, 269, 476, 273, 267, 519, 15454, 6879, 12184, 3148, 538, 519, 21217, 540, 519, 10386, 3892, 264, 25991, 692, 1892, 1403, 519, 533, 17032, 568, 1447, 982, 519, 1109, 30336, 1109, 322, 761, 19118, 630, 553, 621, 568, 538, 8431, 269, 476, 273, 1070, 596, 7947, 519, 14275, 8367, 267, 543, 8263, 972, 568, 8197, 513, 5276, 2078, 8220, 519, 2473, 543, 962, 4632, 269, 25991, 692, 1692, 568, 519, 8579, 9756, 1449, 17223, 543, 14648, 2496, 2414, 3313, 952, 519, 1871, 540, 519, 4767, 1239, 9756, 568, 18481, 2484, 689, 4642, 267, 596, 1384, 272, 269, 27539, 602, 519, 14275, 8367, 267, 670, 271, 267, 568, 2953, 692, 273, 269, 3245, 713, 13429, 267, 12337, 519, 10386, 3892, 540, 519, 678, 3613, 520, 2065, 630, 8993, 269, 476, 273, 2020, 274, 269, 30770, 519, 533, 17032, 2404, 609, 519, 4767, 678, 3613, 520, 2065, 25991, 692, 275, 269, 1403, 713, 1109, 335, 17032, 568, 2630, 707, 840, 1606, 564, 1109, 30336, 1109, 322, 761, 19118, 267, 1109, 14632, 476, 1109, 267, 7947, 670, 271, 692, 763, 1101, 1614, 3268, 540, 713, 5650, 1205, 19316, 1524, 547, 513, 2582, 1899, 540, 2780, 3009, 602, 7024, 1312, 519, 1239, 9756, 267, 678, 267, 543, 519, 2404, 533, 17032, 269, 1411, 1287, 3274, 5635, 519, 533, 17032, 8120, 676, 519, 2780, 3009, 609, 707, 840, 1606, 564, 1109, 30336, 1109, 322, 761, 19118, 780, 4131, 781, 798, 513, 5249, 1383, 547, 1205, 513, 1745, 585, 519, 538, 1790, 15462, 5650, 1384, 5575, 267, 4063, 602, 596, 1131, 7363, 723, 513, 10471, 7222, 547, 8097, 7422, 267, 546, 267, 3144, 693, 1585, 2157, 540, 1776, 4756, 267, 1535, 269, 1284, 786, 1711, 971, 513, 10471, 676, 17511, 1384, 343, 284, 15631, 1015, 281, 1015, 316, 262, 282, 546, 284, 15631, 1015, 281, 1015, 316, 262, 266, 280, 265, 8681, 333, 263, 2641, 267, 272, 32007, 10190, 267, 649, 3489, 678, 543, 533, 268, 11161, 676, 17511, 1384, 314, 337, 533, 24557, 14585, 337, 3287, 28504, 2020, 6546, 781, 2731, 782, 972, 568, 547, 621, 267, 4352, 594, 723, 3177, 811, 3877, 593, 519, 26398, 3238, 538, 11264, 713, 8367, 1449, 1934, 780, 763, 4729, 538, 8431, 269, 476, 273, 2306, 621, 2312, 602, 519, 678, 3613, 520, 2065, 5833, 689, 938, 20533, 1239, 267, 678, 815, 476, 271, 269, 7871, 568, 3152, 982, 519, 21205, 9756, 1871, 267, 678, 322, 761, 815, 476, 271, 269, 6246, 267, 6508, 689, 1109, 7545, 543, 4061, 891, 1239, 6556, 513, 2048, 560, 520, 12264, 1713, 685, 8367, 1449, 25991, 692, 1892, 769, 824, 1913, 267, 649, 7947, 670, 271, 692, 1892, 678, 323, 520, 568, 2417, 689, 519, 11236, 540, 670, 271, 982, 519, 12939, 1871, 1109, 21683, 761, 3989, 676, 1109, 5231, 16317, 1432, 798, 649, 6038, 1451, 689, 513, 8579, 9756, 1449, 2496, 2467, 568, 930, 11029, 1399, 538, 519, 5912, 1063, 7893, 519, 2450, 540, 519, 1239, 9756, 543, 543, 519, 8990, 602, 972, 568, 513, 19250, 1713, 3017, 1063, 519, 1239, 543, 519, 11236, 540, 670, 271, 692, 1103, 1880, 267, 1109, 1889, 5501, 906, 543, 513, 29138, 4255, 1109, 732, 3982, 2409, 609, 3833, 1114, 26398, 267, 865, 621, 568, 1271, 547, 1294, 547, 1018, 6708, 519, 9756, 1449, 13054, 606, 8367, 1449, 543, 711, 3274, 513, 6482, 780, 1892, 634, 1883, 547, 1620, 519, 3017, 568, 547, 1413, 693, 519, 1109, 28669, 725, 1109, 7424, 5340, 692, 1892, 589, 6482, 568, 1759, 593, 513, 1109, 338, 17532, 1109, 22238, 1464, 3892, 602, 6645, 721, 519, 1034, 2693, 2418, 540, 519, 5817, 5365, 10484, 1892, 589, 8367, 1449, 630, 16347, 6476, 264, 568, 1759, 593, 519, 10171, 540, 519, 8367, 1373, 2953, 267, 799, 3340, 602, 519, 10171, 338, 630, 528, 17831, 264, 540, 12721, 19165, 581, 17223, 543, 3379, 780, 1892, 769, 1312, 2665, 267, 519, 10471, 630, 291, 264, 568, 519, 1271, 1344, 602, 2488, 2963, 585, 519, 3932, 692, 1892, 769, 519, 2013, 540, 513, 6482, 267, 602, 19106, 3096, 519, 1239, 547, 12337, 519, 10171, 936, 5817, 9756, 2418, 692, 1892, 901, 568, 1360, 2147, 547, 519, 5650, 1031, 547, 12337, 513, 10386, 3892, 267, 519, 4493, 585, 519, 678, 23150, 267, 538, 602, 1312, 7048, 593, 513, 2582, 2203, 540, 519, 1239, 1496, 1877, 267, 586, 815, 1526, 1341, 6846, 316, 585, 741, 19106, 25991, 338, 780, 1892, 769, 519, 2013, 540, 8367, 4152, 267, 602, 19106, 3096, 519, 1239, 547, 12337, 519, 10171, 1599, 936, 2009, 19165, 25991, 267, 1141, 1142, 8367, 29102, 513, 1114, 2203, 540, 519, 1239, 1496, 324, 3052, 1421, 586, 815, 1526, 1341, 6846, 5288, 269, 586, 815, 1109, 476, 1109, 272, 3287, 264, 1341, 6846, 267, 5288, 269, 586, 815, 1109, 476, 1109, 273, 3287, 264, 1341, 6846, 267, 31756, 1421, 1141, 1109, 30336, 1109, 11161, 616, 3586, 855, 7164, 6540, 1892, 4039, 4800, 593, 10386, 14778, 12857, 513, 1297, 540, 12755, 538, 519, 8579, 1449, 267, 1519, 281, 25991, 692, 1892, 3668, 540, 606, 2702, 547, 16174, 1851, 12721, 4244, 19165, 25991, 692, 1892, 1100, 2702, 585, 6901, 547, 1683, 2963, 1109, 325, 822, 1681, 1022, 8367, 630, 333, 1638, 610, 6382, 2020, 321, 18847, 540, 2985, 0, 267, 476, 1691, 269, 4962, 269, 1708, 271, 339, 599, 529, 692, 258, 1403, 513, 272, 815, 476, 276, 543, 513, 278, 815, 476, 1704, 267, 1265, 519, 1455, 3017, 692, 323, 284, 273, 692, 3721, 8386, 9912, 7778, 1384, 320, 272, 284, 276, 267, 513, 278, 815, 1704, 692, 1704, 284, 276, 266, 277, 323, 692, 1321, 284, 277, 323, 692, 273, 284, 323, 692, 323, 284, 476, 273, 692, 3721, 8386, 9912, 7778, 1384, 534, 284, 513, 272, 23444, 333, 268, 272, 264, 323, 692, 1704, 284, 476, 276, 1341, 630, 278, 268, 272, 264, 323, 692, 1704, 284, 476, 276, 266, 476, 277, 323, 692, 277, 323, 284, 476, 1704, 268, 276, 692, 277, 323, 284, 476, 1321, 692, 323, 284, 476, 273, 692, 19489, 300, 308, 6369, 281, 606, 815, 513, 272, 266, 630, 333, 268, 272, 264, 546, 692, 1704, 284, 276, 23444, 278, 268, 272, 264, 546, 692, 268, 276, 266, 1704, 284, 277, 323, 692, 1321, 270, 277, 284, 277, 323, 270, 277, 692, 3198, 14684, 2207, 281, 634, 1455, 3017, 568, 476, 273, 780, 2162, 4033, 2055, 593, 519, 1641, 281, 4569, 692, 13043, 267, 476, 2764, 269, 1015, 269, 1001, 280, 267, 6777, 4905, 454, 13043, 267, 476, 2764, 269, 1015, 269, 1001, 280, 267, 512, 599, 529, 454, 13043, 267, 476, 2764, 269, 1015, 269, 1001, 280, 267, 562, 1564, 335, 553, 32455, 454, 13043, 267, 476, 1691, 269, 1556, 269, 1001, 280, 267, 22946, 28755, 1188, 6507, 278, 454, 272, 269, 5400, 568, 1224, 607, 2290, 630, 272, 264, 543, 5216, 630, 279, 264, 4627, 2195, 6507, 20870, 338, 610, 476, 6507, 270, 1911, 815, 476, 278, 269, 3583, 11997, 272, 269, 5400, 1341, 476, 278, 269, 3583, 815, 476, 279, 269, 4281, 1862, 5649, 2859, 0, 258, 6323, 692, 288, 476, 14530, 271, 10275, 326, 5198, 8364, 568, 6117, 1472, 513, 9764, 3950, 540, 8953, 476, 14631, 544, 269, 769, 519, 8216, 3254, 538, 519, 4137, 267, 519, 6174, 814, 513, 4464, 3432, 540, 476, 4029, 269, 278, 544, 4882, 543, 568, 23646, 693, 513, 2557, 540, 476, 276, 269, 3374, 544, 4882, 273, 269, 1548, 568, 519, 9588, 540, 519, 2121, 3196, 9117, 593, 519, 6174, 693, 713, 942, 543, 519, 3196, 32075, 338, 4287, 3448, 547, 519, 6991, 2496, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 16453, 630, 528, 1298, 686, 7065, 531, 264, 10231, 568, 454, 320, 3799, 264, 815, 642, 11054, 24250, 815, 476, 4029, 269, 278, 11054, 270, 14631, 284, 277, 269, 6872, 544, 4882, 11054, 454, 307, 836, 1113, 10231, 454, 320, 263, 16483, 6661, 910, 276, 269, 3374, 544, 4882, 11054, 454, 10907, 5120, 566, 454, 320, 284, 6912, 346, 513, 3799, 264, 11054, 266, 630, 276, 269, 3374, 264, 11054, 348, 815, 279, 269, 5325, 544, 4882, 11054, 692, 11927, 395, 484, 284, 276, 269, 3374, 270, 277, 269, 6872, 284, 271, 269, 279, 1691, 454, 395, 484, 284, 4029, 269, 273, 23263, 454, 10382, 284, 3445, 266, 395, 484, 284, 3445, 2485, 374, 1341, 4029, 269, 273, 2485, 374, 815, 13199, 269, 273, 2485, 374, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 943, 1910, 923, 692, 288, 1286, 14797, 593, 513, 9764, 3950, 540, 8953, 678, 269, 630, 320, 264, 3503, 606, 3830, 585, 519, 1286, 781, 3328, 3432, 950, 621, 12599, 513, 2347, 22272, 538, 942, 512, 269, 630, 321, 264, 634, 8953, 540, 519, 3950, 568, 476, 1911, 544, 543, 519, 942, 547, 2347, 513, 22272, 568, 476, 1691, 521, 269, 8058, 602, 519, 692, 273, 269, 12693, 2301, 553, 692, 275, 6993, 1957, 7484, 267, 799, 568, 538, 519, 3337, 540, 513, 1318, 9764, 13409, 267, 568, 476, 1626, 4699, 2620, 543, 814, 513, 8953, 540, 476, 275, 4699, 269, 4826, 568, 23953, 883, 519, 7484, 693, 513, 3586, 2557, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 0, 258, 24321, 4569, 2433, 2405, 1014, 692, 1012, 7151, 5999, 692, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 763, 1199, 2103, 540, 519, 1739, 1079, 5036, 540, 2338, 616, 3160, 267, 543, 454, 1492, 5036, 616, 11231, 538, 26799, 1931, 454, 346, 272, 267, 476, 275, 267, 1535, 267, 476, 279, 348, 543, 2715, 273, 267, 476, 276, 267, 586, 267, 476, 280, 20467, 1548, 568, 586, 1107, 1109, 343, 2496, 274, 692, 273, 692, 1700, 272, 692, 1700, 273, 692, 271, 692, 1700, 272, 692, 15008, 1384, 15008, 281, 31962, 602, 519, 11667, 540, 606, 1256, 5991, 3518, 1229, 1305, 540, 2338, 568, 519, 12980, 1611, 540, 519, 6292, 540, 1647, 2474, 269, 4935, 630, 275, 1341, 1535, 8358, 273, 815, 11667, 540, 519, 1101, 1305, 543, 630, 276, 1341, 586, 8358, 273, 815, 11667, 540, 519, 2034, 1305, 269, 4595, 1312, 1199, 2103, 616, 3160, 267, 649, 666, 1305, 519, 4834, 3160, 547, 1142, 1278, 269, 630, 275, 1341, 1535, 8358, 273, 815, 630, 276, 1341, 586, 8358, 273, 269, 25092, 1312, 5011, 676, 476, 273, 543, 649, 1205, 476, 275, 1341, 1535, 815, 476, 276, 1341, 586, 269, 1284, 849, 917, 602, 476, 275, 2999, 1535, 2999, 476, 279, 543, 476, 276, 2999, 586, 2999, 476, 280, 267, 2094, 519, 5036, 616, 11231, 538, 26799, 1931, 269, 901, 562, 541, 4900, 938, 3681, 585, 1535, 543, 586, 1524, 3648, 269, 623, 1663, 21794, 538, 1585, 2418, 786, 5555, 1205, 596, 547, 1535, 815, 476, 278, 543, 586, 815, 476, 277, 267, 2094, 476, 278, 1341, 476, 275, 815, 476, 1556, 543, 476, 276, 1341, 476, 277, 815, 476, 1556, 267, 543, 3976, 519, 11667, 538, 1312, 2665, 1131, 581, 476, 276, 269, 276, 269, 4935, 267, 586, 1107, 1109, 343, 815, 1107, 272, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 1432, 568, 519, 11667, 538, 519, 1739, 1305, 540, 2338, 2496, 1626, 267, 476, 866, 267, 476, 1626, 267, 476, 278, 267, 476, 273, 267, 476, 736, 267, 476, 280, 267, 476, 276, 692, 15008, 1384, 1626, 267, 476, 866, 267, 476, 1626, 267, 476, 278, 267, 476, 273, 267, 476, 736, 267, 476, 280, 267, 476, 276, 692, 24576, 519, 2338, 689, 10545, 547, 4102, 780, 273, 267, 276, 267, 278, 267, 280, 267, 1626, 267, 1626, 267, 866, 267, 736, 692, 763, 11667, 568, 519, 1297, 538, 519, 1647, 780, 1103, 713, 2013, 267, 972, 568, 513, 476, 280, 543, 476, 1626, 538, 519, 1647, 780, 2691, 602, 4523, 267, 1491, 519, 3328, 540, 519, 1079, 2338, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 8340, 519, 11667, 1384, 15008, 1384, 2414, 1265, 519, 11667, 267, 6582, 519, 2338, 689, 10545, 547, 4102, 1384, 275, 267, 275, 267, 275, 267, 275, 267, 277, 267, 278, 267, 280, 267, 280, 267, 1321, 267, 1321, 267, 1321, 267, 1321, 267, 1321, 267, 1321, 267, 1240, 267, 10602, 267, 3445, 692, 2467, 616, 476, 1704, 2338, 538, 2698, 269, 1109, 4595, 476, 1704, 568, 606, 9642, 1297, 267, 519, 11667, 786, 581, 519, 1647, 1297, 540, 519, 1305, 269, 1109, 769, 713, 2013, 267, 621, 568, 519, 476, 280, 628, 1297, 267, 799, 568, 476, 1321, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 2467, 616, 476, 274, 267, 4335, 1004, 538, 1895, 589, 543, 476, 276, 267, 1822, 1004, 538, 1895, 645, 1384, 2961, 7392, 4939, 538, 6828, 589, 5808, 13574, 4939, 538, 6828, 645, 5808, 13574, 7763, 12643, 833, 476, 275, 476, 280, 20767, 534, 476, 3374, 476, 1839, 3687, 23186, 476, 2420, 476, 1428, 11709, 476, 280, 476, 1321, 21676, 701, 476, 274, 476, 277, 692, 1432, 568, 519, 11667, 540, 519, 1297, 540, 1004, 538, 1895, 645, 945, 1378, 2901, 513, 1295, 23186, 267, 8709, 267, 610, 4172, 701, 2496, 15008, 1384, 307, 805, 519, 21159, 607, 513, 1592, 267, 607, 649, 616, 1519, 1169, 15295, 689, 519, 476, 274, 6174, 2010, 5018, 269, 1403, 649, 798, 1142, 476, 271, 269, 6187, 263, 4335, 271, 1070, 476, 271, 269, 1321, 263, 4335, 271, 1070, 543, 476, 271, 269, 1428, 263, 4335, 271, 264, 649, 4063, 689, 8343, 602, 519, 11667, 267, 610, 1647, 1871, 267, 1131, 723, 547, 581, 519, 476, 1321, 260, 4737, 2094, 519, 3732, 2450, 1281, 711, 1689, 269, 634, 2243, 12134, 585, 661, 18952, 2207, 540, 519, 476, 274, 6688, 267, 865, 649, 666, 11716, 519, 824, 1079, 780, 271, 269, 1321, 263, 4335, 271, 264, 815, 476, 7785, 1109, 263, 7079, 264, 568, 519, 11667, 540, 519, 476, 274, 6688, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 1103, 519, 1305, 1657, 267, 799, 568, 3677, 281, 519, 11667, 267, 519, 1611, 267, 610, 519, 7154, 2496, 13614, 692, 300, 1712, 692, 8469, 1014, 692, 13828, 11667, 543, 1611, 692, 5472, 616, 3160, 692, 13614, 692, 15008, 1384, 24375, 676, 19280, 519, 1305, 689, 10545, 547, 4102, 1384, 2704, 2819, 267, 649, 1294, 602, 519, 7154, 568, 476, 279, 269, 4855, 519, 11667, 676, 2921, 519, 3328, 540, 519, 1079, 1647, 2338, 1384, 8340, 519, 1611, 676, 4946, 782, 2338, 543, 12270, 676, 519, 2698, 1297, 540, 2474, 1384, 8170, 519, 1614, 267, 519, 1611, 540, 519, 1305, 568, 519, 4102, 780, 2162, 7151, 7726, 1948, 273, 2433, 1215, 1677, 4855, 2405, 1014, 692, 763, 9344, 593, 513, 1449, 3144, 676, 476, 1109, 29324, 616, 476, 1109, 27920, 1947, 269, 1548, 729, 519, 11667, 6060, 585, 713, 1449, 2496, 15008, 1384, 2414, 4194, 713, 1966, 267, 649, 1590, 581, 3222, 540, 519, 4214, 540, 513, 11667, 585, 513, 1305, 540, 2338, 269, 634, 11667, 568, 3989, 607, 519, 1297, 602, 568, 538, 1647, 540, 513, 1305, 540, 2338, 15044, 689, 10545, 547, 4102, 269, 4475, 649, 1590, 1101, 4990, 519, 2338, 689, 4102, 547, 10545, 780, 4097, 267, 6246, 267, 3393, 267, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 11025, 267, 9262, 267, 6434, 267, 10844, 267, 4817, 267, 1911, 692, 6246, 267, 3393, 267, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 267, 6434, 267, 11025, 267, 4817, 692, 3393, 267, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 267, 6434, 267, 11025, 692, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 267, 6434, 692, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 692, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 692, 3583, 267, 10602, 267, 10602, 692, 10602, 692, 10190, 676, 7444, 14874, 519, 10545, 543, 519, 4102, 2338, 649, 1265, 602, 519, 11667, 6060, 585, 713, 1449, 568, 476, 10602, 780, 2162, 7151, 7726, 1948, 273, 2433, 10803, 692, 23797, 640, 589, 281, 634, 1611, 540, 692, 23797, 640, 645, 281, 634, 11667, 540, 692, 763, 2078, 3112, 581, 5462, 780, 23797, 640, 589, 568, 3152, 780, 23797, 640, 645, 568, 3152, 780, 763, 1079, 9424, 616, 3160, 780, 23797, 640, 645, 568, 3152, 780, 15008, 1384, 24375, 676, 556, 867, 1359, 519, 1305, 538, 10230, 1931, 1384, 10190, 3587, 692, 7712, 972, 568, 606, 9642, 1297, 540, 2418, 267, 519, 11667, 568, 519, 1647, 1871, 780, 23797, 640, 645, 1384, 3086, 267, 547, 1265, 519, 12980, 1611, 267, 1491, 519, 2040, 540, 2418, 5258, 676, 519, 2698, 1297, 540, 2418, 780, 23797, 640, 589, 1384, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 2405, 1014, 692, 763, 12980, 1611, 540, 1109, 28812, 692, 763, 11667, 540, 0, 288, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 2433, 10829, 7726, 25201, 1496, 299, 8016, 298, 3633, 2639, 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, 736, 281, 5655, 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, 589, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 692, 12041, 24606, 454, 12421, 454, 16274, 281, 476, 1015, 8734, 476, 1220, 275, 454, 15803, 281, 476, 4510, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 288, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1691, 281, 6187, 454, 1607, 1888, 568, 19526, 269, 1403, 596, 1616, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 780, 288, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 8255, 616, 547, 595, 781, 607, 476, 274, 281, 273, 269, 1358, 1205, 15587, 476, 31079, 8255, 269, 1215, 1082, 8255, 1705, 589, 1118, 2496, 263, 272, 264, 476, 14341, 630, 273, 264, 476, 10482, 454, 263, 274, 264, 476, 7761, 630, 275, 264, 7183, 540, 891, 454, 10048, 4526, 454, 16274, 281, 476, 1789, 7325, 476, 1220, 275, 454, 15803, 281, 476, 6200, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1428, 281, 4375, 454, 275, 23099, 1862, 14085, 540, 891, 692, 3240, 2626, 568, 630, 22430, 265, 476, 280, 264, 1315, 866, 3267, 527, 2501, 4114, 547, 476, 14341, 13718, 7069, 13429, 568, 602, 589, 281, 289, 815, 476, 274, 281, 273, 543, 645, 281, 290, 815, 274, 281, 273, 454, 335, 11862, 700, 4953, 19294, 918, 301, 8582, 17692, 8668, 4959, 2910, 305, 3918, 6311, 27401, 2483, 12421, 454, 16274, 281, 476, 1015, 8734, 476, 1220, 275, 454, 15803, 281, 476, 4510, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1428, 281, 5392, 454, 296, 21645, 1174, 621, 855, 713, 568, 519, 2626, 692, 11405, 1384, 288, 281, 289, 815, 476, 274, 281, 273, 815, 476, 280, 281, 277, 16963, 289, 281, 290, 815, 476, 274, 281, 273, 815, 476, 277, 281, 275, 630, 14708, 645, 3160, 2020, 11997, 267, 589, 281, 289, 281, 290, 815, 476, 280, 281, 277, 281, 275, 692, 11997, 267, 519, 8255, 1500, 676, 589, 815, 630, 280, 270, 866, 264, 2473, 476, 31079, 815, 476, 14341, 563, 25938, 1640, 15440, 454, 16274, 281, 476, 866, 4924, 476, 1220, 275, 454, 15803, 281, 476, 29300, 454, 19613, 281, 25016, 328, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1789, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1704, 281, 3953, 454, 288, 281, 289, 281, 290, 815, 476, 280, 281, 277, 281, 275, 454, 280, 343, 266, 277, 343, 266, 275, 343, 815, 476, 866, 343, 692, 305, 12584, 1500, 676, 589, 815, 476, 280, 343, 270, 866, 343, 265, 31079, 815, 476, 14341, 20735, 589, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 866, 4924, 476, 1220, 275, 454, 15803, 281, 476, 29300, 454, 19613, 281, 25016, 328, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1789, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1704, 281, 4097, 454, 326, 3901, 266, 10849, 612, 539, 5206, 912, 275, 23099, 1862, 14085, 540, 891, 692, 3240, 2626, 568, 630, 22430, 265, 476, 280, 264, 1315 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 786, 2263, 4798, 971, 607, 1362, 4655, 267, 30886, 267, 543, 4187, 1247, 28798, 741, 2565, 2542, 543, 10763, 1983, 269, 5015, 267, 649, 786, 1921, 891, 5339, 5931, 547, 2951, 1603, 267, 8716, 1053, 547, 2992, 2390, 741, 1378, 2833, 543, 11994, 540, 1114, 4529, 780, 296, 269, 6519, 11554, 4211, 20199, 14740, 538, 5753, 781, 26135, 11470, 454, 288, 269, 4985, 547, 3043, 2324, 11665, 1453, 538, 14810, 5708, 454, 272, 269, 11137, 540, 6041, 538, 2442, 1568, 899, 834, 295, 14019, 25260, 4840, 273, 269, 4197, 519, 4644, 540, 3309, 11269, 454, 289, 269, 5811, 540, 519, 1284, 553, 2917, 7731, 538, 834, 295, 14019, 25260, 4840, 272, 269, 24167, 14227, 4567, 543, 2686, 3854, 454, 273, 269, 17564, 540, 11475, 543, 4831, 5991, 1551, 2510, 454, 290, 269, 11314, 281, 21302, 824, 14810, 6386, 10023, 2324, 11665, 3197, 454, 272, 269, 17291, 10486, 543, 3604, 1063, 1585, 26007, 454, 273, 269, 14484, 532, 593, 2123, 4296, 547, 891, 2984, 692, 2862, 269, 4147, 18366, 543, 12540, 1400, 1436, 538, 20010, 2622, 338, 454, 288, 269, 4985, 547, 22189, 853, 893, 781, 834, 289, 691, 574, 30906, 257, 959, 559, 9609, 454, 272, 269, 12745, 783, 1944, 519, 2835, 1369, 9589, 17779, 543, 29711, 1014, 11964, 454, 273, 269, 4934, 23164, 1883, 4798, 267, 1519, 22030, 543, 15746, 454, 289, 269, 15766, 908, 519, 7941, 1063, 4012, 5974, 543, 1455, 619, 454, 272, 269, 7600, 1227, 10442, 6848, 3889, 543, 1949, 540, 1379, 454, 273, 269, 13876, 2358, 19320, 609, 3140, 543, 4207, 7239, 454, 290, 269, 11314, 281, 14424, 543, 4334, 519, 2126, 540, 12790, 2516, 2066, 1114, 5931, 454, 272, 269, 14301, 4296, 1063, 834, 295, 14019, 25260, 2437, 834, 289, 691, 574, 30906, 2437, 543, 3606, 4143, 6386, 454, 273, 269, 28518, 4589, 262, 5079, 3823, 1915, 1646, 267, 4729, 6050, 267, 543, 6571, 692, 7656, 269, 20710, 3101, 16520, 5811, 543, 13488, 5675, 454, 288, 269, 28038, 2951, 1603, 607, 513, 7828, 585, 3695, 2686, 9163, 454, 272, 269, 8466, 2796, 543, 4720, 540, 2951, 1603, 454, 273, 269, 3117, 573, 3130, 540, 5683, 6286, 543, 9021, 538, 8204, 1866, 454, 289, 269, 9608, 8086, 3635, 281, 7402, 12420, 609, 3017, 454, 272, 269, 4841, 2671, 5618, 6589, 540, 13341, 609, 2043, 689, 1114, 10080, 454, 273, 269, 6828, 4901, 543, 2079, 540, 3838, 2833, 454, 290, 269, 11300, 2534, 281, 22569, 1456, 14595, 5380, 454, 272, 269, 17130, 532, 1053, 547, 27682, 10207, 689, 6074, 9089, 689, 519, 5133, 540, 12790, 3197, 454, 273, 269, 24951, 3312, 543, 15428, 8747, 267, 7234, 1761, 1764, 593, 5467, 6568, 543, 1620, 692, 4353, 269, 10390, 543, 31349, 454, 288, 269, 5681, 3405, 1944, 1451, 902, 689, 4559, 594, 268, 7656, 454, 289, 269, 16792, 4030, 6591, 547, 6626, 5717, 1472, 4763, 267, 9698, 267, 543, 10014, 454, 290, 269, 25085, 532, 1053, 547, 4497, 9691, 609, 2923, 543, 12167, 585, 811, 13857, 11269, 454, 291, 269, 26943, 2381, 908, 1788, 11556, 281, 28799, 5339, 2079, 543, 2951, 1603, 2553, 547, 3132, 513, 4062, 5466, 2152, 540, 3961, 267, 2528, 267, 543, 1514, 5126, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 265, 8437, 593, 519, 21985, 547, 4228, 2278, 22808, 543, 7493, 338, 540, 4574, 454, 272, 1325, 2581, 22823, 630, 17206, 540, 5101, 5507, 994, 2704, 2581, 22823, 568, 513, 9972, 32082, 538, 2069, 693, 2160, 540, 5101, 5507, 269, 2701, 568, 1603, 1200, 12854, 5098, 13886, 968, 19669, 11554, 4147, 5753, 538, 5753, 779, 26135, 11470, 6100, 2701, 814, 4557, 1296, 685, 1995, 540, 3450, 593, 15938, 543, 2022, 12392, 4116, 2069, 15961, 269, 2701, 5892, 6026, 538, 7216, 13012, 267, 12729, 543, 7981, 20126, 5468, 538, 5507, 543, 31920, 269, 2701, 568, 2693, 547, 2491, 602, 519, 1284, 553, 2917, 1920, 723, 9645, 2686, 543, 3854, 538, 16452, 25260, 779, 1158, 609, 519, 13581, 652, 1008, 6327, 267, 2436, 693, 513, 10178, 15007, 610, 711, 563, 297, 517, 11936, 853, 9613, 779, 634, 717, 1961, 332, 779, 16685, 281, 7395, 673, 1362, 4655, 538, 606, 4244, 5507, 454, 1805, 9613, 779, 19258, 574, 30906, 959, 559, 9609, 568, 1305, 538, 606, 4244, 2413, 5507, 267, 519, 3854, 2749, 540, 519, 3703, 7276, 267, 1141, 4012, 5974, 616, 606, 23731, 8944, 267, 543, 1875, 2173, 698, 5974, 630, 8072, 21720, 619, 32426, 513, 16339, 2213, 896, 5035, 1510, 3540, 2924, 267, 13473, 1152, 679, 537, 326, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 5675, 1315, 589, 3578, 11208, 1315, 13488, 5675, 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, 1691, 281, 654, 895, 5516, 543, 27659, 1005, 910, 589, 4985, 547, 6481, 24601, 692, 5331, 596, 2811, 593, 513, 2564, 5692, 7552, 538, 513, 30152, 2197, 899, 25157, 610, 18475, 269, 1411, 4312, 8678, 513, 2319, 540, 824, 25981, 2043, 11235, 547, 948, 1004, 538, 991, 269, 2290, 1554, 267, 1247, 2324, 693, 513, 2199, 16758, 267, 2576, 2501, 538, 609, 513, 5634, 2759, 593, 741, 6186, 269, 898, 1522, 3100, 2241, 267, 855, 2921, 1416, 540, 16398, 5265, 568, 1898, 547, 2061, 3968, 543, 2327, 2635, 7067, 269, 2334, 781, 950, 707, 10138, 1416, 1983, 2097, 883, 1404, 2439, 1262, 8139, 654, 2432, 4373, 288, 10138, 568, 1022, 2736, 538, 519, 2960, 269, 1703, 616, 1079, 1292, 2010, 540, 16398, 281, 1930, 630, 15290, 519, 2960, 568, 14324, 6306, 264, 543, 6806, 630, 3697, 20015, 2478, 1040, 7046, 16398, 4268, 1759, 593, 875, 2620, 789, 979, 543, 1018, 3361, 873, 269, 2368, 1455, 3283, 616, 11912, 267, 16150, 525, 267, 14047, 675, 16398, 267, 543, 10551, 16398, 269, 18833, 875, 547, 2697, 1114, 5686, 540, 16398, 786, 948, 596, 1491, 1732, 1416, 540, 873, 780, 1262, 21995, 17778, 540, 654, 895, 5516, 4373, 21982, 1697, 1416, 540, 513, 10138, 3322, 1896, 3268, 1384, 272, 269, 2608, 27662, 15846, 28528, 11547, 1472, 519, 10138, 1210, 7646, 12853, 543, 2973, 1216, 269, 901, 2337, 4894, 13897, 543, 4551, 269, 2142, 6297, 711, 547, 1205, 12853, 3330, 519, 10138, 3294, 563, 273, 269, 2608, 28406, 15846, 15233, 606, 23287, 6512, 720, 610, 12238, 2763, 14950, 547, 3382, 519, 10138, 269, 18227, 621, 4988, 11151, 17900, 689, 10024, 543, 4929, 3968, 269, 5457, 547, 1689, 519, 19703, 3232, 610, 8164, 621, 4991, 18660, 610, 6632, 563, 274, 269, 2608, 12507, 3218, 15846, 6744, 519, 10138, 5781, 585, 4191, 540, 3968, 971, 607, 25017, 267, 11926, 267, 14246, 267, 10669, 267, 2799, 1928, 267, 610, 8611, 269, 1403, 596, 5469, 1022, 540, 891, 2589, 267, 3343, 3318, 2564, 3007, 5612, 780, 1262, 306, 583, 1005, 17943, 4373, 1103, 930, 2665, 267, 2523, 609, 4514, 16398, 267, 25573, 610, 521, 583, 999, 949, 581, 2556, 269, 2755, 713, 5650, 2356, 3340, 513, 8036, 2564, 3318, 267, 1620, 922, 9238, 1223, 8141, 7279, 827, 2009, 2104, 11678, 538, 4915, 2439, 265, 306, 583, 1005, 265, 1797, 22927, 1560, 8031, 1394, 1927, 1210, 2027, 8142, 1572, 521, 1956, 1570, 269, 6969, 4358, 267, 7189, 15381, 519, 1858, 4478, 519, 10138, 547, 7413, 9636, 1282, 519, 1184, 269, 3973, 267, 1210, 25062, 7405, 267, 789, 5402, 5447, 519, 8728, 540, 519, 10138, 1354, 8520, 532, 519, 521, 1956, 998, 1312, 5011, 543, 17444, 9395, 269, 4495, 2614, 25573, 616, 5116, 267, 789, 17063, 1055, 519, 7475, 18172, 269, 30850, 267, 519, 4387, 10039, 513, 8825, 8720, 936, 519, 4195, 25573, 780, 8855, 267, 938, 1383, 827, 1373, 593, 513, 2564, 5692, 7552, 286, 2913, 781, 2161, 596, 1336, 3054, 4543, 856, 896, 519, 15569, 540, 4810, 2564, 10986, 269, 2060, 9488, 2866, 543, 5583, 267, 1256, 1647, 1153, 1053, 666, 1451, 2596, 2553, 896, 6417, 2175, 28559, 2141, 4734, 1950, 5773, 547, 14468, 4966, 2439, 3383, 972, 596, 723, 621, 256, 1323, 4367, 547, 10138, 1416, 543, 521, 583, 1005, 602, 23248, 26182, 10761, 827, 3695, 2564, 3584, 2417, 269, 6787, 596, 5326, 540, 11836, 3486, 2564, 13485, 835, 1554, 610, 3274, 1616, 547, 917, 875, 547, 6023, 18002, 6251, 547, 1753, 267, 13215, 891, 4909, 1983, 23933, 513, 2178, 5748, 585, 707, 3460, 6619, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7021, 519, 1296, 267, 21816, 324, 1359, 10298, 814, 18799, 1585, 2564, 2875, 2516, 945, 4951, 1719, 538, 24749, 543, 5129, 606, 1271, 1909, 538, 5885, 519, 3782, 1062, 538, 3384, 2477, 269, 4107, 540, 891, 24749, 3255, 3335, 4125, 2324, 538, 1857, 19190, 543, 10506, 1141, 2200, 543, 812, 12741, 616, 17077, 563, 2171, 723, 1044, 12180, 3782, 543, 2564, 15321, 13383, 3292, 538, 1585, 2477, 267, 1519, 519, 13372, 267, 17289, 267, 25591, 267, 10476, 267, 25157, 267, 3162, 4000, 267, 19168, 267, 15057, 267, 18475, 267, 543, 22728, 28573, 269, 1452, 2564, 5692, 15143, 8597, 547, 513, 3309, 2039, 540, 5171, 267, 1519, 2564, 1053, 267, 3782, 9439, 267, 840, 2173, 539, 543, 840, 5991, 2720, 532, 1053, 267, 607, 1134, 607, 14971, 2564, 4648, 563, 1432, 616, 519, 5383, 540, 24749, 538, 513, 1895, 585, 513, 2564, 1982, 13383, 888, 2108, 2704, 821, 267, 649, 666, 798, 865, 2370, 282, 1927, 267, 649, 666, 798, 865, 1454, 892, 1107, 24796, 918, 11839, 563, 2171, 666, 1406, 3858, 811, 609, 891, 1913, 1107, 543, 649, 11207, 3494, 602, 13538, 945, 6443, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 895, 5516, 543, 27659, 1005, 257, 607, 851, 540, 834, 25503, 1315, 17073, 6925, 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, 7234, 11174, 5708, 10704, 1472, 7489, 1977, 543, 7414, 29474, 2833, 267, 621, 568, 1898, 547, 2263, 519, 28622, 540, 5198, 267, 14940, 267, 11776, 267, 543, 741, 1764, 593, 891, 2950, 262, 1072, 4093, 269, 901, 3184, 12538, 883, 875, 6848, 21437, 899, 834, 15869, 257, 543, 834, 30710, 640, 2437, 2059, 609, 19366, 2833, 267, 3337, 3332, 6322, 693, 1762, 3988, 269, 5047, 267, 713, 4901, 786, 8774, 1769, 593, 519, 2956, 540, 14344, 11528, 2152, 971, 607, 7293, 10168, 950, 6313, 1072, 13103, 1851, 1114, 7292, 543, 6803, 2516, 780, 2414, 2253, 609, 267, 1577, 721, 4983, 519, 1523, 540, 834, 15869, 257, 543, 834, 30710, 640, 1701, 5637, 2474, 4196, 607, 1514, 25481, 2864, 982, 6211, 5013, 282, 789, 30387, 1004, 1759, 593, 9228, 2168, 3604, 267, 2686, 10080, 267, 3838, 1686, 267, 10923, 8129, 267, 610, 1256, 3084, 1541, 5874, 630, 19365, 338, 1696, 620, 1421, 476, 1001, 277, 1040, 1452, 10297, 666, 581, 5714, 267, 29653, 267, 543, 22522, 2066, 942, 267, 2230, 267, 543, 4529, 269, 2755, 2043, 1522, 2697, 2933, 1369, 1808, 7292, 543, 6803, 6688, 267, 972, 3788, 811, 6988, 3564, 6071, 8760, 269, 1306, 7074, 538, 938, 6679, 1349, 267, 3173, 1590, 2015, 1585, 1514, 21876, 540, 1072, 630, 16256, 15121, 1070, 799, 12969, 609, 5198, 543, 14940, 267, 6038, 7133, 1367, 8171, 269, 11790, 899, 2069, 1377, 267, 4747, 267, 7694, 4567, 267, 8027, 2175, 267, 1426, 3354, 267, 8378, 2298, 267, 543, 1569, 547, 3782, 782, 1404, 1713, 5107, 538, 5935, 2551, 1072, 630, 28495, 619, 585, 8376, 6513, 543, 10644, 1496, 24922, 3910, 562, 6155, 12175, 4935, 267, 3695, 12676, 15121, 2636, 5640, 543, 9439, 7567, 547, 1847, 2250, 5187, 2065 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8698, 519, 1900, 8386, 9912, 3070, 547, 1384, 19370, 630, 2190, 268, 279, 1070, 8525, 476, 280, 6858, 281, 5729, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 6399, 284, 815, 8466, 26162, 540, 17776, 12924, 10345, 476, 275, 269, 271, 260, 476, 1691, 269, 274, 476, 866, 269, 271, 630, 1691, 269, 278, 264, 630, 2918, 269, 276, 264, 476, 4391, 269, 273, 476, 2537, 269, 279, 630, 278, 269, 273, 264, 476, 277, 269, 277, 476, 736, 269, 276, 692, 19370, 630, 2190, 268, 273, 2567, 1323, 25566, 814, 24018, 519, 6006, 540, 17786, 335, 22427, 9535, 1210, 513, 1079, 29969, 6673, 307, 2203, 269, 634, 1981, 6954, 2557, 568, 476, 277, 9077, 519, 4397, 2132, 593, 519, 1101, 3815, 630, 337, 272, 264, 568, 476, 1321, 9077, 543, 519, 4397, 2132, 593, 519, 2034, 3815, 630, 337, 273, 264, 568, 476, 279, 10065, 1403, 1979, 272, 815, 476, 271, 269, 278, 543, 1979, 273, 815, 476, 271, 269, 280, 267, 1018, 568, 17786, 335, 781, 2838, 2132, 286, 8058, 960, 780, 19370, 630, 2190, 268, 279, 2567, 7490, 3277, 547, 7923, 6478, 3561, 563, 19370, 630, 2190, 268, 279, 1070, 8525, 476, 280, 6858, 281, 8466, 26162, 540, 17776, 5729, 12924, 10345, 14351, 962, 476, 272, 476, 275, 269, 271, 260, 476, 274, 269, 271, 260, 476, 273, 476, 1691, 269, 274, 476, 1240, 269, 273, 476, 274, 476, 866, 269, 271, 476, 280, 269, 272, 476, 275, 630, 1691, 269, 278, 264, 630, 277, 269, 271, 264, 476, 276, 630, 2918, 269, 276, 264, 630, 1428, 269, 274, 264, 476, 277, 476, 4391, 269, 273, 476, 3451, 269, 272, 476, 278, 476, 2537, 269, 279, 476, 277, 269, 272, 476, 279, 630, 278, 269, 273, 264, 476, 274, 269, 273, 476, 280, 476, 277, 269, 277, 476, 1691, 269, 279, 476, 1015, 476, 736, 269, 276, 476, 2190, 269, 272, 476, 1556, 476, 1789, 269, 277, 476, 1240, 269, 271, 6399, 284, 476, 280, 269, 279, 260, 476, 280, 269, 279, 260, 21566, 284, 476, 866, 269, 277, 260, 476, 1724, 269, 279, 260, 513, 269, 20472, 513, 14649, 6516, 6029, 519, 2078, 1063, 7024, 593, 14351, 962, 543, 519, 2344, 267, 543, 1287, 2721, 513, 1863, 8518, 19406, 540, 519, 9695, 1899, 269, 1548, 568, 519, 16977, 1871, 540, 519, 12498, 11664, 286, 1403, 596, 723, 513, 9498, 609, 513, 5276, 9695, 1599, 610, 513, 22369, 267, 2638, 519, 16977, 1871, 540, 12498, 5833, 689, 519, 3113, 269, 536, 269, 12315, 513, 11913, 7664, 540, 1018, 519, 9695, 1899, 543, 519, 12498, 11664, 1397, 827, 14351, 962, 779, 25359, 543, 3448, 1981, 1465, 607, 3379, 609, 1346, 540, 824, 13632, 269, 524, 269, 14597, 519, 14649, 540, 2798, 1185, 1044, 811, 3262, 856, 267, 855, 519, 9695, 1899, 729, 4010, 1141, 707, 1459, 3113, 2982, 621, 269, 1215, 1131, 713, 1198, 630, 272, 264, 519, 6109, 779, 1981, 952, 519, 6006, 568, 4371, 538, 513, 835, 12431, 564, 14769, 543, 630, 273, 264, 519, 4890, 1981, 14167, 593, 519, 6006, 952, 519, 26480, 300, 6585, 4010, 286, 546, 269, 14597, 519, 9695, 1899, 1185, 1044, 18746, 1793, 14563, 543, 519, 12498, 11664, 1185, 1044, 2942, 269, 1548, 1131, 713, 17538, 827, 630, 272, 264, 14351, 962, 779, 3448, 1981, 1465, 267, 630, 273, 264, 922, 9756, 609, 519, 2344, 267, 543, 630, 274, 264, 922, 21483, 1981, 14167, 2496, 320, 264, 2480, 2660, 6516, 543, 9695, 1899, 12924, 10345, 630, 260, 994, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 1015, 454, 1556, 6399, 23751, 17385, 284, 476, 275, 269, 271, 454, 1691, 269, 274, 454, 866, 454, 268, 1691, 269, 278, 454, 268, 2918, 269, 276, 454, 4391, 269, 273, 454, 2537, 269, 279, 454, 268, 278, 269, 273, 454, 277, 269, 277, 454, 736, 269, 276, 454, 1789, 269, 277, 454, 280, 269, 3199, 14999, 866, 269, 2568, 260, 14351, 962, 630, 260, 994, 274, 269, 271, 454, 1240, 269, 273, 454, 280, 269, 272, 454, 268, 277, 454, 268, 1428, 269, 274, 454, 3451, 269, 272, 454, 277, 269, 272, 454, 274, 269, 273, 13718, 3963, 15012, 6092, 15552, 2496, 17345, 15552, 814, 782, 519, 6780, 543, 1353, 948, 596, 991, 547, 8011, 256, 1284, 4076, 3893, 1576, 10391, 4967, 267, 1353, 10274, 267, 543, 2259, 4255, 2059, 609, 4274, 21493, 780, 7042, 14807, 1049, 8249, 454, 1892, 910, 692, 19138, 26671, 692, 8340, 519, 1655, 1353, 2200, 1472, 267, 28562, 547, 707, 1808, 6030, 269, 9523, 707, 1378, 547, 2744, 1863, 6092, 15552, 1569, 780, 289, 12864, 26671, 0, 1321, 267, 279, 736, 267, 276, 2641, 2818, 630, 3066, 267, 7176, 275, 2228, 994, 531, 1181, 894, 4528, 692, 2971, 853, 1846, 692, 1724, 269, 278, 298, 5784, 454, 1556, 1433, 5658, 539, 454, 16829, 476, 1556, 3057, 476, 1001, 273, 692, 258, 3244, 334, 23037, 281, 589, 590, 15659, 23990, 585, 15689, 609, 8899, 7352, 766, 692, 267, 476, 1321, 3057, 476, 1001, 273, 8713, 5357, 454, 15580, 713, 912, 8245, 334, 23037, 513, 1715, 590, 15659, 5690, 595, 10030, 23030, 10025, 10606, 23037, 15689, 609, 8899, 7352, 766, 692, 1012, 4985, 692, 296, 729, 1603, 606, 2376, 593, 8159, 519, 16595, 5690, 585, 18570, 543, 1247, 594, 729, 1603, 594, 3893, 6766, 676, 519, 1082, 18570, 6620, 543, 594, 25282, 606, 5690, 585, 18570, 269, 898, 781, 1572, 3244, 334, 1317, 602, 781, 519, 2012, 540, 2576, 945, 568, 1360, 2027, 547, 1250, 2295, 2433, 2020, 1012, 1215, 621, 1568, 692, 2005, 568, 513, 25276, 18570, 5690, 602, 28197, 519, 1739, 3268, 1384, 272, 269, 5192, 519, 3328, 1871, 540, 2338, 538, 519, 5044, 454, 273, 269, 19147, 519, 5044, 883, 1079, 14249, 630, 6783, 476, 272, 543, 5044, 476, 273, 264, 543, 519, 3328, 1871, 786, 581, 6074, 607, 519, 22141, 563, 274, 269, 7102, 1871, 4130, 982, 519, 22141, 786, 581, 538, 1101, 5044, 543, 1022, 1871, 3677, 982, 519, 22141, 786, 581, 538, 519, 2034, 5044, 563, 275, 269, 19244, 519, 1482, 5690, 593, 5044, 476, 272, 543, 5044, 476, 273, 11489, 596, 3914, 519, 10678, 2783, 692, 2690, 11938, 5301, 1384, 272, 269, 634, 10678, 2783, 568, 711, 513, 3339, 10678, 585, 513, 25276, 1599, 855, 621, 3096, 930, 2175, 602, 594, 25282, 998, 2119, 543, 5470, 267, 891, 2175, 6318, 519, 2773, 620, 582, 563, 273, 269, 1403, 519, 5044, 2450, 568, 1447, 982, 476, 1428, 606, 23453, 542, 23037, 568, 1031, 547, 6175, 16841, 267, 476, 1428, 814, 1044, 1336, 10686, 1227, 607, 519, 6099, 2759, 4752, 1871, 538, 476, 1960, 277, 780, 1012, 634, 5690, 692, 1607, 568, 875, 519, 5690, 1568, 1384, 869, 568, 519, 4994, 540, 519, 1101, 3693, 543, 1164, 568, 519, 4994, 540, 2063, 3693, 780, 3499, 339, 6374, 622, 2999, 5035, 570, 11417, 341, 1355, 1138, 24382, 677, 24867, 513, 314, 3910, 842, 1970, 267, 842, 1164, 994, 19127, 2260, 18893, 574, 1436, 16448, 454, 604, 263, 14683, 268, 869, 285, 1428, 994, 19127, 29602, 3328, 284, 271, 3248, 842, 562, 815, 630, 14683, 910, 1970, 1341, 476, 272, 32007, 1721, 630, 842, 1775, 815, 1970, 282, 1775, 10922, 1164, 282, 1775, 10030, 994, 320, 2071, 23785, 320, 5157, 316, 16963, 320, 2071, 270, 284, 333, 3248, 842, 737, 284, 869, 16963, 1721, 17301, 1775, 815, 1970, 282, 328, 27045, 14683, 282, 1775, 10030, 994, 604, 5416, 5157, 316, 283, 320, 2071, 994, 19127, 842, 10917, 19368, 815, 513, 5157, 30092, 320, 5157, 316, 815, 513, 25208, 30092, 320, 25208, 316, 815, 10917, 19368, 16963, 330, 10030, 3248, 10926, 2260, 18893, 574, 1242, 17547, 16448, 454, 604, 263, 869, 283, 330, 268, 272, 30974, 737, 268, 272, 256, 284, 14683, 994, 13678, 24382, 677, 5416, 267, 869, 267, 330, 268, 272, 32007, 604, 263, 14683, 285, 330, 30974, 1970, 256, 284, 330, 994, 13678, 24382, 677, 5416, 267, 330, 267, 14683, 11850, 8679, 12828, 454, 19127, 2260, 11900, 1068, 542, 23037, 547, 2569, 3683, 3650, 950, 16571, 542, 568, 711, 2620, 2614, 454, 1721, 630, 842, 1775, 815, 1970, 1341, 476, 272, 282, 1775, 10922, 1164, 282, 1775, 10030, 264, 13634, 842, 1871, 815, 513, 5157, 30092, 842, 795, 3248, 1721, 630, 329, 815, 1775, 910, 476, 272, 282, 795, 13843, 1970, 30974, 513, 14728, 316, 3436, 1871, 282, 795, 734, 264, 13634, 320, 14728, 1341, 476, 272, 316, 815, 513, 14728, 30092, 8679, 320, 14728, 1341, 476, 272, 316, 815, 1871, 3248, 8679, 8679, 348, 7884, 1012, 7151, 692, 257, 7078, 476, 272, 257, 2982, 875, 519, 5690, 1568, 538, 513, 3339, 2013, 780, 257, 7078, 476, 273, 257, 2982, 875, 519, 5690, 1568, 538, 922, 1655, 2013, 9183, 1141, 2609, 540, 519, 5044, 723, 2370, 13065, 1063, 873, 269, 769, 519, 2013, 1141, 972, 1141, 1152, 476, 273, 2338, 834, 272, 257, 543, 834, 271, 257, 519, 5690, 1185, 513, 6988, 540, 744, 3799, 2020, 9616, 281, 1879, 519, 5690, 13515, 538, 519, 3254, 5515, 621, 1797, 513, 6978, 814, 6603, 606, 10678, 2783, 780, 1012, 29203, 692, 763, 9612, 568, 853, 762, 543, 814, 606, 5580, 3808, 2230, 29203, 540, 744, 263, 272, 2020, 5475, 3257, 519, 942, 6988, 2079, 9273, 780, 1892, 634, 19105, 543, 1937, 560, 2013, 7653, 616, 540, 630, 276, 270, 277, 12684, 333, 331, 1758, 6988, 799, 7851, 547, 744, 3799, 331, 1758, 994, 1892, 634, 7454, 8865, 568, 744, 3799, 264, 607, 3254, 538, 7151, 476, 273, 780, 2252, 1022, 835, 666, 6961, 891, 2418, 4636, 5225, 2995, 803, 543, 594, 786, 12189, 873, 267, 7064, 780, 763, 5690, 568, 4867, 5488, 982, 2656, 4990, 543, 19943, 4990, 950, 519, 13065, 540, 519, 2609, 568, 1970, 263, 2254, 811, 982, 476, 276, 1114, 2609, 264, 2687, 547, 519, 594, 25162, 602, 594, 1500, 267, 543, 594, 6415, 4867, 1603, 606, 2376, 602, 786, 5635, 782, 18570, 6620, 1519, 713, 835, 780, 1012, 7799, 14591, 692, 763, 1699, 4528, 540, 519, 5690, 1152, 1568, 593, 9981, 269, 621, 1281, 711, 960, 593, 1347, 338, 610, 5595, 2418, 780, 1012, 3778, 692, 2971, 476, 272, 269, 271, 630, 1015, 4728, 476, 1001, 273, 2020, 1892, 19461, 5305, 780, 296, 4126, 602, 713, 2376, 1131, 693, 2547, 5594, 948, 1346, 945, 616, 5461, 538, 713, 3390, 269, 18461, 1863, 547, 2995, 803, 1022, 8292, 593, 519, 5690, 2433, 2020, 1012, 9523, 692, 12229, 3763, 518, 630, 25938, 1640, 264, 5131, 700, 22083, 5527, 454, 7034, 322, 8950, 7177, 267, 595, 23879, 2160, 267, 5527, 780, 296, 2648, 3450, 543, 1565, 543, 594, 6415, 7683, 4657, 454, 8722, 601, 1863, 547, 1865, 4376, 609, 803, 780, 288, 6154, 601, 766, 772, 311, 14704, 267, 8943, 568, 1250, 1907, 11453, 267, 594, 1374, 585, 1995, 476, 2439, 7069, 19534, 692, 1012, 1411, 949, 849, 581, 5461, 538, 13718, 3689, 2776, 341, 9202, 454, 594, 614, 2209, 3079, 540, 570, 26514, 654, 518, 1676, 6428, 14137, 1704, 5336, 541, 268, 1321, 476, 277, 281, 3953, 654, 518, 1676, 6428, 14137, 476, 1704, 5336, 541, 268, 1321, 476, 277, 281, 3953, 454, 8177, 540, 12719, 519, 1611, 4410, 324, 287, 338, 663, 341, 1731, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 2412, 4410, 324, 287, 338, 663, 341, 1731, 476, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 2412, 454, 1234, 281, 8177, 540, 12719, 519, 1611, 10067, 332, 3716, 31928, 5069, 4432, 5336, 698, 323, 12874, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 7871, 10067, 332, 3716, 31928, 5069, 4432, 5336, 698, 323, 12874, 476, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 7871, 454, 28982, 1403, 596, 1616, 267, 594, 666, 2328, 519, 2079, 538, 8799, 1259, 543, 6494, 621, 547, 596, 267, 1317, 1631, 621, 781, 30255, 543, 593, 1957, 269, 8133, 267, 29626, 519, 3328, 568, 606, 16841, 855, 621, 781, 513, 1507, 16841, 1317, 538, 1034, 2665, 519, 6988, 540, 12719, 519, 3328, 568, 744, 3799, 264, 16611, 676, 513, 3815, 1447, 982, 476, 272, 269, 3719, 849, 538, 2656, 4990, 972, 568, 1776, 1599, 602, 568, 1031, 547, 1205, 519, 22141, 4994, 799, 568, 606, 16841, 849, 269, 12552, 267, 2995, 803, 952, 596, 1616, 519, 2079, 594, 600, 23875, 454, 16338, 547, 2372, 6506, 677, 286, 562, 341, 25313 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7828, 269, 634, 1152, 1259, 547, 7753, 713, 20159, 693, 1164, 3172, 4328, 7060, 729, 547, 1711, 6859, 609, 1360, 1279, 17122, 13080, 269, 16902, 990, 28839, 18706, 7236, 4362, 21275, 781, 11359, 9682, 630, 305, 9996, 264, 538, 476, 15757, 273, 609, 513, 16263, 476, 3374, 3952, 630, 1556, 544, 264, 1279, 269, 13562, 12002, 971, 607, 29312, 1261, 767, 3780, 941, 14335, 24985, 609, 17122, 13080, 607, 1279, 607, 476, 5611, 3952, 630, 5379, 544, 1040, 14755, 2348, 2731, 1279, 13740, 891, 24985, 2877, 21934, 13783, 610, 1279, 544, 6814, 543, 1835, 6951, 547, 3180, 873, 909, 269, 4256, 1871, 607, 1382, 2645, 729, 8766, 2094, 519, 16263, 781, 7406, 834, 32353, 257, 4827, 539, 543, 5854, 730, 538, 519, 13581, 652, 30089, 543, 3006, 25540, 15587, 563, 1103, 476, 14321, 277, 3057, 514, 631, 619, 26413, 6069, 513, 16263, 9967, 540, 513, 1612, 21966, 18042, 3119, 11604, 543, 513, 1612, 21966, 18042, 6281, 11604, 536, 23395, 519, 3239, 998, 513, 8559, 538, 519, 3119, 267, 6061, 519, 1966, 540, 13156, 519, 3239, 269, 6276, 27068, 4682, 883, 2417, 1469, 538, 1010, 1433, 8838, 3821, 8871, 7974, 630, 14917, 274, 1070, 15738, 856, 602, 513, 10452, 16263, 609, 513, 11604, 602, 729, 8032, 899, 519, 851, 540, 513, 598, 545, 3296, 267, 1131, 2953, 20085, 32623, 1674, 607, 1134, 607, 519, 6985, 1738, 32623, 1674, 2938, 538, 18195, 832, 269, 634, 1374, 646, 3357, 909, 609, 12217, 1010, 2012, 281, 519, 834, 294, 2958, 20187, 16263, 21968, 855, 2687, 547, 1010, 1378, 1476, 11970, 267, 27068, 1185, 1100, 4052, 5578, 543, 646, 1223, 1265, 1100, 1904, 6509, 5827, 540, 16734, 1010, 2093, 543, 1310, 930, 4829, 1652, 8942, 267, 729, 8078, 539, 547, 10205, 782, 4126, 540, 8744, 1010, 16263, 883, 4052, 946, 563, 3849, 28922, 25852, 3096, 513, 2147, 6240, 267, 855, 7311, 28303, 1896, 4627, 2053, 829, 2034, 547, 4818, 839, 622, 519, 2360, 540, 6385, 4657, 9804, 23673, 1813, 547, 519, 5163, 540, 31285, 538, 519, 3047, 781, 5790, 269, 11154, 633, 25852, 1568, 676, 7893, 519, 1253, 25344, 538, 513, 5951, 12506, 543, 1287, 9104, 908, 585, 873, 676, 4028, 2242, 540, 27103, 2209, 4294, 547, 513, 1507, 22775, 762, 11604, 610, 609, 513, 5277, 12627, 5044, 6882, 269, 589, 302, 729, 1101, 19424, 539, 676, 9710, 864, 654, 269, 9040, 32024, 538, 476, 4198, 274, 267, 855, 1705, 711, 2097, 883, 1455, 6165, 538, 24666, 24985, 2394, 8441, 538, 2780, 543, 18785, 2029, 1282, 519, 476, 1960, 271, 338, 1500, 621, 2009, 547, 5173, 519, 13180, 2877, 538, 1483, 942, 269, 769, 13261, 25852, 267, 519, 1164, 18286, 28303, 2877, 1611, 602, 513, 9425, 6505, 5182, 568, 2877, 1360, 2673, 547, 519, 3077, 540, 1719, 630, 528, 606, 5841, 5182, 568, 2813, 676, 513, 8955, 1040, 4746, 267, 609, 513, 2582, 5182, 610, 8955, 519, 28303, 616, 1152, 2500, 936, 513, 1360, 7522, 2361, 630, 29181, 540, 9095, 5913, 1070, 543, 1699, 1949, 5665, 593, 1896, 476, 279, 268, 1015, 332, 24985, 960, 5631, 538, 2282, 19899, 14518, 20966, 585, 2582, 268, 15953, 7422, 563, 763, 14206, 2540, 4718, 519, 4070, 540, 24985, 799, 1223, 3132, 2592, 1210, 20966, 824, 982, 7298, 1769, 4358, 538, 476, 4350, 272, 950, 20913, 808, 753, 5652, 4362, 24666, 3615, 5795, 1055, 5925, 5434, 282, 713, 19430, 513, 1007, 5736, 540, 22423, 17651, 1310, 2622, 2782, 4083, 267, 609, 24985, 1373, 2919, 585, 824, 2694, 540, 519, 13590, 8552, 689, 5925, 547, 18325, 17530, 563, 20238, 1470, 17651, 3459, 538, 476, 4350, 272, 950, 20913, 808, 753, 5652, 4362, 602, 519, 27305, 10158, 729, 513, 2707, 540, 5925, 12998, 1247, 3257, 1382, 593, 18714, 11979, 609, 513, 4287, 19215, 269, 8490, 593, 808, 753, 5652, 781, 960, 267, 717, 4710, 1234, 828, 3710, 513, 811, 10427, 3483, 32472, 5925, 16263, 538, 476, 4350, 278, 267, 609, 513, 476, 4029, 269, 275, 20356, 630, 280, 269, 277, 544, 264, 8670, 282, 1210, 713, 267, 646, 4362, 1585, 32584, 5925, 2959, 538, 519, 6607, 269, 9314, 538, 5925, 17651, 8057, 1310, 519, 5822, 2622, 2782, 950, 1454, 3677, 8286, 941, 3710, 1519, 281, 519, 476, 7742, 20356, 630, 10602, 544, 264, 808, 617, 22641, 4871, 16263, 630, 4198, 278, 1070, 519, 476, 4968, 20356, 630, 11011, 544, 264, 5682, 7813, 23571, 630, 3422, 273, 1070, 543, 519, 476, 1911, 31475, 516, 630, 20065, 10264, 264, 20306, 1564, 6199, 16263, 630, 3192, 272, 1040, 634, 5458, 476, 272, 267, 1822, 20356, 630, 4968, 544, 264, 3657, 322, 756, 334, 16263, 630, 3422, 274, 264, 729, 865, 1804, 602, 621, 729, 6378, 883, 513, 2067, 4965, 538, 519, 2666, 282, 519, 3844, 19215, 1223, 581, 2848, 1229, 547, 1450, 519, 16263, 547, 1353, 3615, 909, 547, 8938, 5232, 689, 519, 1990, 523, 603, 269, 1717, 267, 711, 1169, 5925, 16263, 568, 540, 519, 8670, 1826, 269, 1280, 1383, 267, 519, 24759, 9061, 23571, 630, 4198, 275, 264, 729, 606, 2038, 1383, 540, 606, 5044, 799, 1031, 1079, 13902, 3515, 540, 13494, 333, 2801, 476, 272, 267, 4335, 3952, 630, 29121, 544, 264, 538, 3259, 547, 5619, 519, 6607, 563, 294, 10397, 12345, 616, 12842, 1164, 538, 519, 3047, 781, 5790, 865, 1034, 18325, 11920, 17651, 568, 5342, 609, 15408, 269, 717, 10397, 11920, 24985, 946, 1085, 842, 20746, 27669, 267, 8141, 20830, 543, 811, 5063, 267, 4396, 15581, 22572, 269, 634, 16070, 6571, 540, 891, 3457, 568, 3335, 1360, 4057, 269, 1703, 941, 17891, 25645, 6901, 538, 519, 2038, 476, 3422, 271, 338, 267, 855, 18325, 11920, 17651, 2731, 3459, 609, 519, 10131, 540, 519, 744, 12569, 476, 274, 9682, 538, 476, 3422, 278, 282, 519, 1101, 6131, 18325, 11920, 15408, 941, 590, 3008, 645, 630, 3192, 273, 264, 543, 15328, 645, 630, 3192, 276, 1040, 634, 1290, 17980, 717, 10397, 14105, 25076, 630, 1960, 272, 264, 729, 513, 2462, 6454, 593, 3105, 12220, 269, 15020, 1164, 20589, 18325, 17530, 630, 629, 913, 476, 1220, 2983, 309, 264, 666, 581, 9571, 689, 519, 2666, 3842, 519, 595, 7967, 28325, 5982, 3812, 676, 519, 8574, 540, 519, 18325, 17530, 538, 519, 3047, 781, 5790, 269, 11153, 595, 7967, 28325, 9196, 24985, 723, 1044, 3710, 1472, 519, 1158, 1519, 281, 519, 670, 9680, 6938, 630, 2735, 278, 1070, 5254, 3722, 7417, 630, 1220, 272, 1070, 670, 8577, 630, 1220, 274, 1070, 543, 631, 8980, 2975, 630, 1220, 275, 1916, 7628, 519, 7422, 649, 1500, 538, 938, 22966, 652, 1258, 23512, 790, 476, 1911, 288, 313, 2689, 267, 649, 8068, 513, 1507, 2179, 540, 7301, 2681, 630, 20580, 921, 2681, 535, 2590, 532, 1070, 543, 513, 13581, 20747, 2590, 538, 519, 2361, 540, 2070, 729, 18476, 269, 634, 8545, 568, 3362, 17251, 609, 513, 6297, 5542, 540, 2363, 788, 773, 806, 267, 865, 649, 4363, 10115, 538, 3606, 2363, 788, 773, 806, 547, 1118, 519, 1034, 540, 519, 23512, 790, 476, 1911, 288, 313, 781, 9804, 1062, 543, 547, 2327, 602, 621, 18922, 883, 519, 2298, 540, 707, 6337, 267, 952, 596, 2811, 2921, 873, 8771, 2681, 267, 593, 519, 824, 1688, 267, 568, 547, 581, 4397, 538, 24985, 693, 713, 3902, 1448, 855, 621, 3085, 1405, 25010, 519, 1995, 8259, 596, 2811, 24215, 1880, 827, 2681, 6111, 563, 763, 1101, 540, 1614, 540, 519, 715, 1410, 30252, 24985, 593, 713, 1592, 267, 543, 585, 513, 1434, 2601, 269, 634, 22966, 652, 1258, 715, 1410, 30252, 476, 279, 10345, 568, 606, 5140, 4781, 585, 14987, 543, 19023, 6607, 342, 520, 7129, 269, 901, 16263, 2306, 621, 2653, 585, 18051, 1182, 547, 2070, 519, 3781, 6607, 1510, 6616, 1454, 827, 17651, 269, 2311, 519, 1482, 942, 267, 811, 4810, 588, 1173, 1794, 619, 666, 946, 621, 547, 2263, 4514, 883, 2230, 610, 1256, 8936, 513, 8254, 585, 11141, 28936, 582, 2762, 563, 763, 26751, 704, 320, 568, 606, 11141, 3926, 602, 10905, 1614, 4066, 281, 5182, 4806, 6284, 3301, 267, 3239, 2661, 10518, 532, 2029, 267, 543, 606, 813, 269, 1879, 23564, 593, 267, 922, 590, 3415, 22558, 311, 5379, 273, 3239, 9300, 666, 3713, 513, 3077, 538, 2947, 3764, 543, 1491, 835, 8523, 1169, 476, 1015, 7643, 630, 10472, 9775, 4470, 593, 519, 3077, 1040, 901, 6846, 2275, 766, 1782, 1184, 666, 581, 2938, 538, 1483, 6066, 593, 519, 7327, 983, 640, 813, 267, 4611, 538, 513, 20501, 267, 811, 4334, 344, 543, 10477, 3239, 269, 1284, 538, 938, 28446, 517, 529, 26751, 704, 320, 2689, 649, 1336, 602, 519, 2592, 941, 513, 2370, 2571, 267, 855, 789, 1223, 581, 8476, 609, 2022, 3491, 22422, 563, 763, 552, 309, 2675, 2100, 476, 273, 267, 513, 16263, 2966, 609, 1390, 22717, 572, 267, 568, 4998, 585, 21706, 945, 616, 1007, 547, 17651, 543, 723, 513, 9645, 2179, 540, 2724, 630, 12671, 1269, 4335, 271, 630, 641, 839, 538, 1007, 9184, 4297, 547, 22302, 610, 585, 19936, 945, 7287, 606, 782, 2987, 14633, 1062, 602, 568, 4674, 1652, 547, 1305, 909, 543, 946, 269, 4634, 1498, 621, 949, 711, 581, 7494, 15874, 676, 4810, 16263, 3755, 26224, 547, 513, 811, 2757, 13156, 1505, 267, 621, 666, 1869, 1711, 7415, 2592, 563, 2005, 781, 849, 1134, 3710, 543, 2653, 547, 946, 267, 513, 5458, 7132, 585, 1346, 1510, 11435, 540, 17651, 1995, 269, 1717, 267, 596, 666, 1205, 8925, 585, 513, 2539, 3902, 267, 1256, 952, 789, 1810, 1405, 3833, 6474, 519, 21708, 1467, 476, 277, 257, 585, 2298, 540, 1179, 338, 269, 1284, 849, 899, 519, 2107, 542, 8330, 549, 8698, 476, 3445, 630, 641, 839, 538, 1007, 9184, 264, 513, 2603, 267, 585, 799, 713, 568, 513, 5078, 10682, 267, 2705, 267, 621, 781, 2182, 547, 1265, 621, 538, 6006, 2228, 563, 4002, 519, 17498, 728, 267, 519, 13053, 1014, 3085, 1405, 2097, 31484, 548, 6954, 267, 2523, 3823, 5826, 269, 1411, 1522, 1265, 3054, 2348, 547, 723, 9804, 19141, 1483, 11220, 607, 1134, 607, 519, 11604, 781, 7252, 1065, 20557, 2094, 789, 666, 5555, 1831, 512, 7568, 1639, 269, 1403, 596, 3442, 547, 979, 585, 513, 2992, 528, 540, 713, 4990, 267, 596, 1058, 2141, 3442, 835, 609, 19141, 609, 513, 8825, 15098, 607, 789, 786, 2063, 3476, 563, 1103, 1840, 267, 649, 12038, 609, 20152, 15966, 16699, 267, 7022, 540, 14986, 4975, 13562, 12002, 540, 24144, 267, 14822, 267, 513, 18758, 1895, 602, 7028, 519, 1857, 538, 13287, 540, 2069, 543, 4690, 538, 17651, 269, 1284, 849, 12038, 609, 15535, 13643, 267, 1776, 4759, 540, 602, 3919, 543, 7022, 540, 661, 743, 15199, 16370, 563, 5472, 540, 519, 24985, 649, 7318, 2097, 609, 513, 476, 736, 7825, 610, 476, 1839, 7825, 2363, 788, 19991, 269, 4107, 540, 519, 3631, 649, 6836, 849, 2097, 609, 513, 476, 1015, 7825, 2363, 788, 19991, 269, 898, 949, 3100, 4831, 842, 30698, 267, 855, 519, 476, 1015, 7825, 2363, 788, 19991, 3091, 811, 3172, 2305, 267, 6721, 606, 23762, 3239, 543, 513, 4130, 2361, 540, 2070, 269, 476, 271, 6078, 321, 6187, 272, 320, 7761 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 12534, 4433, 2187, 1038, 15254, 5091, 551, 815, 4558, 318, 12534, 18425, 5091, 551, 4433, 267, 15254, 5091, 551, 994, 1038, 1820, 263, 12534, 5091, 551, 994, 825, 3116, 912, 1038, 3136, 454, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 14714, 1846, 1104, 544, 560, 1846, 454, 5814, 21267, 28272, 607, 12301, 692, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 323, 21648, 1115, 318, 276, 5038, 280, 3199, 318, 9083, 2568, 280, 280, 318, 5158, 7721, 1051, 3599, 27406, 17210, 30607, 19152, 692, 3698, 3403, 312, 8986, 10031, 825, 23288, 825, 901, 1599, 12134, 519, 3593, 547, 3403, 1032, 288, 267, 1032, 289, 543, 11769, 269, 898, 11974, 585, 2241, 7254, 640, 543, 952, 15502, 267, 3274, 7024, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 1032, 288, 815, 476, 271, 454, 825, 1032, 289, 815, 476, 271, 454, 825, 11769, 284, 15234, 692, 825, 1247, 6936, 1384, 1038, 2119, 912, 2018, 1032, 288, 815, 703, 9272, 2891, 8923, 3403, 519, 4358, 1032, 1422, 333, 8442, 2020, 2018, 952, 1032, 288, 13843, 476, 4198, 271, 543, 1032, 288, 2999, 476, 1001, 280, 1384, 3546, 2736, 692, 2018, 3116, 1384, 3546, 1820, 2891, 2791, 723, 9411, 519, 4636, 2418, 585, 1032, 269, 7490, 1118, 2386, 519, 1296, 616, 538, 2039, 476, 4198, 271, 547, 476, 1001, 280, 15419, 1038, 4849, 912, 2018, 1820, 2891, 8923, 2119, 8870, 2418, 1152, 15419, 825, 1247, 6936, 1384, 1038, 2119, 912, 2018, 1032, 289, 284, 703, 9272, 2891, 8923, 3403, 519, 10678, 1032, 1422, 333, 8442, 2020, 2018, 952, 630, 20204, 289, 13843, 476, 4198, 271, 543, 1032, 289, 10922, 476, 1001, 280, 264, 543, 630, 20204, 288, 2999, 1032, 289, 17107, 3546, 2736, 692, 2018, 3116, 1384, 3546, 1820, 2891, 2791, 723, 9411, 519, 4636, 2418, 585, 1032, 269, 7490, 1118, 2386, 519, 1296, 616, 538, 2039, 476, 4198, 271, 547, 476, 1001, 280, 543, 741, 1931, 568, 2953, 15419, 1038, 4849, 912, 2018, 1820, 2891, 8923, 2119, 8870, 2418, 1152, 257, 9239, 825, 11769, 815, 3403, 2891, 8923, 3403, 519, 11769, 630, 12248, 787, 4408, 9385, 333, 15419, 825, 2132, 630, 20204, 288, 267, 1032, 289, 267, 11769, 2020, 30607, 27662, 532, 692, 3698, 1293, 301, 1638, 338, 16597, 284, 323, 21648, 564, 17107, 825, 23288, 825, 901, 1599, 21410, 519, 14275, 2418, 538, 519, 10471, 593, 1169, 6241, 543, 5359, 519, 14275, 2418, 538, 12523, 543, 6871, 454, 825, 2433, 12407, 17093, 281, 13096, 553, 564, 454, 825, 2433, 8873, 281, 7183, 454, 825, 23288, 825, 897, 815, 1592, 16597, 31815, 8435, 994, 825, 2698, 8624, 338, 815, 7003, 17338, 16597, 31815, 8435, 4917, 825, 897, 15575, 301, 1638, 338, 815, 476, 271, 454, 825, 14275, 15575, 815, 476, 271, 692, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 585, 1003, 267, 6241, 538, 26246, 263, 3712, 17107, 1038, 14275, 15575, 815, 1239, 314, 26383, 4940, 529, 333, 1638, 14061, 8999, 10797, 1038, 952, 14275, 15575, 3436, 476, 271, 1384, 2018, 897, 15575, 301, 1638, 338, 815, 897, 15575, 301, 1638, 338, 1341, 476, 272, 692, 2018, 1820, 3488, 346, 271, 348, 6241, 1422, 262, 346, 272, 4153, 262, 3568, 14275, 2418, 3160, 547, 2715, 273, 348, 8339, 8971, 16325, 267, 6241, 267, 14275, 15575, 11723, 825, 1820, 3488, 24001, 9587, 2270, 14275, 2418, 282, 15079, 568, 519, 2698, 1297, 540, 9587, 8339, 8971, 263, 3712, 15575, 301, 1638, 338, 267, 2698, 8624, 338, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 1397, 11073, 11502, 16597, 284, 323, 21648, 564, 267, 19651, 8201, 25716, 17107, 825, 23288, 825, 901, 1599, 2982, 519, 3611, 777, 2002, 338, 607, 568, 538, 741, 6151, 1106, 676, 28321, 741, 4216, 7120, 543, 27008, 454, 825, 2433, 12407, 1239, 281, 13096, 553, 564, 454, 825, 2433, 12407, 1397, 318, 7120, 281, 8771, 676, 9949, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 952, 1397, 8201, 912, 1038, 6241, 815, 1239, 314, 4289, 16597, 31815, 8435, 25011, 274, 27663, 1038, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1428, 267, 476, 1428, 4917, 1038, 12301, 16553, 7120, 263, 273, 267, 272, 267, 272, 994, 1038, 12301, 269, 7901, 7120, 263, 26383, 994, 1038, 12301, 269, 29786, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 26644, 3488, 26213, 7120, 5073, 1038, 12301, 16553, 7120, 263, 273, 267, 272, 267, 273, 994, 1038, 12301, 269, 7290, 263, 26383, 994, 1038, 12301, 11859, 16932, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 269, 29786, 3488, 293, 15968, 3299, 23935, 1125, 284, 1626, 994, 1038, 12301, 26644, 3488, 9303, 6945, 5073, 1038, 12301, 20481, 10797, 825, 2132, 692, 3698, 1293, 11073, 11502, 16597, 284, 323, 21648, 564, 2187, 825, 23288, 825, 4032, 338, 7979, 1512, 1239, 2798, 269, 634, 954, 31642, 850, 2039, 568, 1031, 607, 11973, 538, 4259, 519, 7182, 593, 519, 1239, 269, 589, 2789, 630, 272, 269, 273, 264, 538, 713, 2013, 568, 1031, 454, 825, 547, 4336, 519, 954, 32483, 850, 2039, 547, 1305, 519, 7182, 454, 825, 2433, 12407, 1239, 281, 10471, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 897, 815, 1592, 16597, 31815, 8435, 25011, 274, 6540, 825, 3067, 850, 4037, 267, 3067, 850, 1839, 815, 5286, 269, 704, 1417, 850, 16597, 314, 3712, 3910, 1496, 4037, 267, 476, 1839, 20285, 825, 2539, 21918, 527, 815, 3067, 850, 1839, 910, 16733, 31642, 850, 4037, 6709, 656, 850, 1839, 264, 2608, 272, 269, 273, 994, 825, 5580, 21918, 527, 815, 3067, 850, 4037, 1341, 16733, 31642, 850, 4037, 6709, 656, 850, 1839, 264, 2608, 272, 269, 273, 2020, 825, 1293, 11073, 17067, 815, 7003, 16597, 7456, 665, 314, 14433, 1535, 281, 630, 343, 314, 3712, 316, 3436, 5580, 21918, 527, 264, 1923, 630, 343, 314, 3712, 316, 2999, 2539, 21918, 527, 1070, 2433, 7481, 825, 2600, 11073, 17067, 815, 5180, 6262, 870, 11073, 17067, 270, 6352, 16597, 314, 3712, 8079, 265, 1911, 267, 476, 273, 994, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 1820, 3488, 11073, 11502, 281, 15079, 8339, 8971, 6262, 870, 11073, 17067, 4917, 825, 1820, 3488, 11073, 17067, 20587, 281, 15079, 260, 8339, 8971, 263, 704, 1417, 11073, 17067, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 17993, 528, 1125, 10574, 16597, 301, 267, 1239, 284, 323, 21648, 564, 267, 2539, 21918, 527, 284, 271, 269, 271, 267, 5580, 21918, 527, 284, 271, 269, 271, 267, 1397, 8201, 25716, 2187, 825, 23288, 825, 901, 1599, 3096, 544, 560, 1846, 9884, 1231, 528, 1125, 3890, 547, 17993, 528, 1125, 519, 1239, 269, 898, 3096, 519, 5580, 543, 2539, 7182, 547, 519, 1239, 563, 825, 7102, 1239, 602, 568, 1657, 270, 10964, 578, 713, 3970, 568, 1175, 562, 3553, 3160, 547, 519, 5580, 543, 2539, 7182, 454, 825, 2433, 12407, 1239, 301, 281, 1715, 1239, 547, 581, 17993, 528, 1242, 454, 825, 2433, 12407, 1239, 281, 7351, 1239, 454, 825, 2433, 12407, 2539, 21918, 527, 281, 7799, 1080, 593, 519, 17993, 528, 1436, 454, 825, 2433, 12407, 5580, 21918, 527, 281, 7799, 1080, 593, 519, 17993, 528, 1436, 454, 825, 2433, 12407, 1397, 8201, 281, 4347, 5435, 547, 8771, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 897, 815, 1592, 16597, 31815, 8435, 25011, 274, 2639, 825, 1239, 301, 314, 3712, 316, 815, 544, 560, 1846, 9884, 1231, 528, 1125, 16597, 314, 3712, 3910, 7182, 14352, 12294, 21918, 527, 267, 5580, 21918, 527, 11723, 825, 952, 1397, 8201, 912, 1038, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 276, 4917, 1038, 12301, 16553, 7120, 263, 13199, 994, 1038, 12301, 269, 7901, 7120, 16597, 314, 3712, 7481, 1038, 12301, 269, 29786, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 26644, 3488, 13092, 15079, 8339, 8971, 263, 3712, 4917, 1038, 12301, 16553, 7120, 263, 14338, 994, 1038, 12301, 269, 7901, 7120, 16597, 301, 314, 3712, 7481, 1038, 12301, 269, 29786, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 26644, 3488, 7116, 1881, 15079, 8339, 8971, 263, 3712, 4917, 1038, 12301, 20481, 10797, 825, 2132, 692, 5992, 7336, 2610, 692, 3698, 11769, 32417, 263, 550, 640, 267, 1032, 288, 267, 1032, 289, 267, 1239, 17107, 825, 23288, 825, 21964, 25754, 1599, 547, 2824, 519, 9343, 1369, 519, 1032, 288, 547, 1032, 289, 2039, 1927, 609, 519, 11769, 2012, 269, 9208, 3252, 454, 825, 616, 1031, 547, 1265, 519, 7194, 454, 825, 2433, 12407, 11769, 281, 9980, 640, 585, 799, 2493, 568, 547, 581, 7229, 454, 825, 2433, 12407, 1032, 288, 281, 1376, 1032, 454, 825, 2433, 12407, 1032, 289, 281, 1439, 1032, 454, 825, 2433, 12407, 1239, 281, 13096, 553, 564, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 759, 815, 1239, 7456, 665, 314, 14433, 1239, 281, 630, 11907, 9131, 17413, 11172, 13843, 1032, 288, 264, 1299, 630, 11907, 9131, 17413, 11172, 10922, 1032, 289, 264, 1299, 630, 11907, 9131, 22209, 640, 11172, 2652, 11769, 1070, 2433, 6540, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 1820, 3488, 763, 1739, 616, 519, 7194, 585, 2715, 271, 348, 1063, 1296, 2715, 272, 348, 543, 2715, 273, 348, 8339, 8971, 263, 550, 640, 267, 1032, 288, 267, 1032, 289, 4917, 825, 1820, 3488, 8469, 1014, 281, 15079, 8339, 8971, 263, 637, 269, 4364, 1014, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 16655, 3065, 281, 15079, 8339, 8971, 263, 637, 27982, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 14737, 3065, 281, 15079, 8339, 8971, 263, 637, 269, 2381, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 24092, 8061, 12727, 15079, 8339, 8971, 263, 1037, 263, 637, 14714, 323, 19572, 274, 264, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 2518, 32417, 12169, 792, 288, 267, 1032, 289, 267, 1239, 17107, 825, 23288, 825, 21964, 25754, 1599, 547, 2824, 519, 9343, 1369, 519, 1032, 288, 547, 1032, 289, 2039, 269, 9208, 3252, 454, 825, 616, 1031, 547, 1265, 519, 7194, 454, 825, 2433, 12407, 1032, 288, 281, 1376, 1032, 454, 825, 2433, 12407, 1032, 289, 281, 1439, 1032, 454, 825, 2433, 12407, 1239, 281, 13096, 553, 564, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 759, 815, 1239, 7456, 665, 314, 14433, 1239, 281, 630, 11907, 9131, 17413, 11172, 13843, 1032, 288, 264, 1299, 630, 11907, 9131, 17413, 11172, 10922, 1032, 289, 1070, 2433, 6540, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 1820, 3488, 763, 1739, 616, 519, 2518, 7194, 1063, 1296, 2715, 271, 348, 543, 2715, 272, 348, 8339, 8971, 12169, 792, 288, 267, 1032, 289, 4917, 825, 1820, 3488, 8469, 1014, 281, 15079, 8339, 8971, 263, 637, 269, 4364, 1014, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 16655, 3065, 281, 15079, 8339, 8971, 263, 637, 27982, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 14737, 3065, 281, 15079, 8339, 8971, 263, 637, 269, 2381, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 24092, 8061, 12727, 15079, 8339, 8971, 263, 1037, 263, 637, 14714, 323, 19572, 274, 264, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 5993, 27087, 32417, 12169, 792, 288, 267, 1032, 289, 267, 1239, 17107, 825, 23288, 825, 21964, 25754, 1599, 547, 2824, 519, 9343, 1369, 519, 1032, 288, 547, 1032, 289, 2039, 1927, 609, 519, 11769, 2012, 269, 634, 5697, 454, 825, 1239, 568, 1287, 12055, 730, 936, 609, 8939, 15654, 1032, 9343, 269, 2334, 4564, 519, 5993, 1689, 269, 2405, 1014, 540, 782, 971, 454, 825, 1689, 2418, 568, 6059, 1210, 3044, 3252, 454, 825, 2433, 12407, 1032, 288, 281, 1376, 1032, 454, 825, 2433, 12407, 1032, 289, 281, 1439, 1032, 454, 825, 2433, 12407, 1239, 281, 10471, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 1035, 10574, 815, 1239, 7456, 665, 314, 14433, 1239, 281, 630, 11907, 9131, 17413, 11172, 13843, 1032, 288, 264, 1299, 630, 11907, 9131, 17413, 11172, 10922, 1032, 289 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9709, 269, 1452, 1083, 1734, 5815, 4398, 543, 7145, 538, 1978, 2127, 540, 519, 1870, 563, 4913, 267, 621, 568, 1271, 547, 5659, 2436, 891, 1083, 1734, 616, 1813, 547, 4264, 2853, 610, 835, 6066, 2621, 269, 674, 303, 26031, 4648, 5659, 891, 15028, 1083, 1734, 547, 20559, 1655, 2853, 602, 666, 581, 556, 6088, 538, 824, 2127, 540, 519, 1870, 269, 3958, 267, 1620, 519, 4128, 3297, 15028, 1083, 1734, 20674, 538, 17975, 20925, 6111, 543, 22343, 3157, 563, 21008, 532, 20907, 539, 543, 2920, 783, 13437, 454, 21008, 532, 6578, 539, 543, 4890, 2773, 568, 513, 4909, 2460, 540, 13065, 2079, 269, 901, 6476, 2337, 538, 1620, 519, 3017, 1063, 6578, 539, 543, 4890, 5515, 2066, 1585, 2883, 14573, 269, 20907, 13065, 2079, 3335, 3322, 17265, 13065, 5359, 602, 1469, 1312, 15028, 543, 30369, 1083, 1734, 538, 2127, 899, 6455, 267, 9276, 267, 543, 2504, 3790, 563, 763, 1445, 568, 593, 1312, 519, 9588, 540, 519, 13065, 543, 519, 5817, 4128, 269, 1280, 606, 4977, 6476, 267, 621, 779, 1898, 547, 946, 513, 8465, 6578, 602, 666, 4188, 547, 2242, 538, 1870, 2175, 269, 901, 6087, 513, 811, 6209, 2079, 267, 13031, 4030, 883, 10512, 4398, 267, 1942, 2359, 267, 543, 2949, 2883, 1072, 563, 25363, 13586, 22043, 633, 589, 2388, 547, 17372, 7352, 1734, 454, 25363, 13586, 30997, 3527, 568, 519, 3803, 1900, 538, 7421, 6578, 1083, 1734, 269, 4495, 1083, 1734, 616, 4857, 543, 741, 3597, 3123, 6956, 267, 519, 1985, 1900, 568, 547, 1491, 30997, 3800, 269, 1452, 3527, 4096, 593, 519, 2470, 540, 519, 13065, 269, 1280, 30369, 1083, 1734, 267, 713, 1522, 4125, 1942, 24408, 1154, 3800, 267, 5355, 10512, 31931, 267, 610, 2847, 2358, 6455, 2994, 563, 2690, 15028, 1083, 1734, 267, 519, 1445, 1522, 581, 593, 1620, 543, 18187, 908, 519, 3811, 2853, 538, 824, 2127, 540, 519, 1870, 269, 634, 2832, 540, 891, 30997, 3527, 568, 711, 1152, 547, 2232, 1699, 1083, 1734, 855, 849, 547, 13217, 519, 22343, 1184, 543, 2087, 2104, 2883, 2773, 269, 8617, 2689, 543, 16369, 1759, 593, 891, 3527, 616, 2808, 513, 1655, 2259, 538, 674, 303, 26031, 267, 4180, 6024, 6454, 543, 2883, 6617, 563, 3963, 568, 20907, 7352, 766, 5811, 12830, 888, 289, 644, 1326, 13065, 2079, 568, 1898, 607, 621, 3800, 519, 3017, 1063, 9709, 543, 4890, 2883, 2773, 267, 3246, 1883, 4030, 883, 519, 1072, 540, 513, 1870, 269, 901, 2259, 540, 9236, 4890, 2164, 547, 6578, 539, 5515, 2636, 3906, 547, 1174, 2436, 519, 13065, 538, 741, 6578, 568, 15028, 610, 30369, 563, 22746, 2079, 568, 2629, 585, 7114, 27753, 538, 2883, 6898, 267, 971, 607, 950, 4890, 8907, 8813, 2110, 540, 23004, 610, 950, 519, 1942, 540, 5370, 4421, 568, 2362, 982, 519, 6578, 539, 2179, 269, 1635, 10223, 891, 1083, 1734, 267, 4213, 666, 1491, 30997, 2962, 267, 4188, 741, 2994, 267, 543, 2087, 2883, 4058, 269, 5047, 267, 13065, 2079, 849, 2337, 538, 10442, 519, 7145, 540, 22343, 2853, 267, 4180, 602, 789, 5447, 609, 2344, 2175, 543, 1870, 6859, 563, 31572, 22418, 10046, 998, 7352, 766, 5811, 454, 24868, 766, 2079, 4249, 513, 4105, 1909, 538, 5883, 6666, 2095, 676, 5473, 9236, 4890, 2883, 1239, 547, 6578, 539, 5515, 269, 901, 1184, 2337, 538, 7114, 1083, 1734, 538, 1883, 2127, 971, 607, 8907, 267, 9276, 267, 543, 16841, 3790, 269, 1879, 8907, 8813, 2110, 610, 9276, 9765, 6578, 539, 5666, 267, 606, 30369, 13065, 4386, 267, 10834, 1761, 6666, 2095, 2152, 563, 3528, 6313, 891, 1083, 1734, 267, 4213, 666, 1491, 14942, 3268, 538, 1942, 8051, 543, 4188, 741, 7836, 547, 2087, 6666, 2095, 269, 7352, 766, 2079, 849, 2636, 585, 513, 1732, 1620, 540, 519, 10512, 3344, 12018, 6666, 2095, 267, 971, 607, 6455, 4320, 610, 1942, 31931, 267, 7175, 811, 4977, 20925, 543, 2500, 6666, 2095, 2359, 563, 25219, 559, 1944, 7352, 766, 5811, 547, 13724, 20907, 532, 6713, 454, 24868, 766, 5811, 568, 711, 1152, 513, 1907, 585, 5464, 2883, 2773, 855, 849, 513, 2629, 5057, 538, 7393, 519, 22343, 1184, 269, 1635, 9236, 4890, 2418, 1996, 6578, 539, 5515, 267, 4213, 666, 2697, 2436, 1083, 1734, 8451, 689, 32601, 22343, 610, 10512, 13546, 1553, 13853, 563, 1607, 2079, 2488, 4030, 883, 2127, 1141, 22343, 2853, 949, 991, 11941, 267, 971, 607, 538, 21501, 6455, 4320, 610, 1788, 532, 16841, 3790, 269, 634, 5955, 689, 13065, 2079, 568, 17170, 585, 2679, 513, 811, 4977, 543, 10853, 6578, 267, 2921, 883, 2272, 1312, 2250, 2773, 543, 2104, 6788, 269, 898, 7512, 6024, 6454, 538, 22343, 2553, 267, 15268, 873, 547, 4657, 2344, 2175, 543, 1870, 19178, 563, 28274, 2920, 783, 7352, 766, 5811, 585, 17423, 10435, 454, 8002, 783, 13065, 2079, 568, 7533, 547, 5483, 3375, 6194, 538, 1870, 269, 1635, 7421, 519, 13065, 540, 3732, 1239, 689, 2883, 6898, 267, 971, 607, 4890, 8907, 8957, 6578, 539, 9072, 610, 4890, 3790, 8957, 9709, 24723, 267, 3906, 2744, 2565, 4030, 269, 901, 2079, 2337, 3313, 2436, 513, 13065, 568, 1813, 547, 5007, 2188, 610, 4835, 13546, 1553, 13853, 563, 2690, 3236, 267, 606, 30369, 7274, 13065, 538, 2504, 666, 5815, 2152, 538, 10512, 3157, 269, 634, 1239, 6508, 689, 6578, 13065, 2079, 10274, 3401, 538, 1818, 7580, 3664, 267, 971, 607, 14577, 14499, 2994, 267, 556, 718, 20814, 2200, 267, 610, 2921, 30997, 2962, 547, 5447, 609, 2344, 3466, 543, 1870, 6859, 563, 305, 1961, 540, 20907, 7352, 766, 538, 674, 303, 26031, 630, 26296, 12020, 1299, 5811, 994, 1103, 11038, 12020, 1299, 5811, 630, 17025, 26031, 1070, 6578, 13065, 4249, 513, 11358, 1909, 269, 898, 3322, 513, 9488, 6514, 540, 1083, 1734, 1063, 6578, 539, 543, 4890, 2883, 2164, 267, 799, 568, 2629, 585, 7580, 4058, 543, 20925, 269, 901, 2259, 540, 9236, 4890, 2164, 547, 6578, 539, 5515, 2337, 538, 7114, 2127, 540, 936, 610, 896, 26024, 563, 22746, 2079, 6087, 674, 303, 26031, 4648, 547, 1174, 519, 1764, 540, 2344, 2175, 543, 4835, 2188, 593, 2883, 4093, 269, 1635, 3246, 513, 2312, 4605, 540, 2883, 2773, 267, 13065, 2079, 20674, 538, 17975, 20925, 3631, 267, 14577, 2883, 2994, 267, 543, 4180, 602, 519, 3919, 779, 2883, 3853, 616, 13988, 609, 922, 10512, 7207, 543, 2344, 19178, 563, 25363, 13586, 7454, 13756, 585, 13229, 7352, 766, 5811, 454, 25363, 13586, 1655, 2853, 585, 2500, 13065, 2079, 568, 4105, 585, 4977, 2883, 2359, 543, 4058, 269, 901, 3322, 4259, 909, 513, 9836, 1935, 547, 5781, 5635, 4890, 2883, 1239, 1996, 6578, 539, 5515, 269, 6206, 2853, 1331, 4509, 2143, 543, 6896, 2883, 5638, 267, 1210, 5812, 2409, 585, 12719, 543, 8989, 1083, 1734, 267, 543, 4180, 782, 4143, 2319, 2818, 616, 8036, 538, 1620, 543, 16208, 891, 1083, 1734, 563, 2005, 779, 849, 1271, 547, 2015, 1312, 15028, 543, 30369, 1083, 1734, 267, 7421, 519, 5817, 4128, 585, 891, 27753, 269, 17115, 21130, 519, 6578, 547, 2992, 2242, 538, 2344, 2175, 610, 10512, 2994, 568, 1898, 269, 13229, 13065, 2079, 3340, 513, 10319, 4674, 267, 609, 3403, 689, 1585, 13623, 547, 1683, 513, 3102, 2070, 540, 519, 3919, 779, 2883, 1072, 563, 13349, 9537, 540, 20907, 7352, 1734, 454, 289, 644, 1326, 1083, 1734, 616, 3604, 1063, 6578, 539, 2418, 543, 4890, 4093, 269, 634, 1034, 1455, 2010, 1331, 4320, 267, 3902, 267, 543, 4398, 1083, 1734, 269, 11730, 13065, 4386, 950, 519, 4890, 7274, 540, 4559, 3812, 610, 4421, 15320, 689, 519, 6578, 539, 2179, 267, 18363, 8907, 610, 1942, 269, 12313, 13065, 14340, 950, 519, 4890, 3902, 540, 11378, 610, 2472, 1821, 28179, 689, 519, 6578, 539, 3902, 267, 7133, 3790, 610, 8907, 563, 292, 11797, 13065, 568, 4767, 950, 519, 7274, 540, 2200, 1031, 547, 3132, 513, 2016, 3977, 568, 1114, 689, 519, 6578, 539, 2179, 267, 1419, 2938, 538, 4074, 610, 1570, 6165, 269, 1452, 1083, 1734, 616, 2629, 547, 2697, 607, 789, 1683, 513, 3391, 585, 519, 1870, 593, 2127, 8506, 3007, 269, 1635, 9236, 6578, 539, 2418, 538, 835, 6241, 547, 4890, 2418, 585, 519, 1482, 1974, 267, 3906, 666, 3927, 3950, 543, 4383, 891, 1083, 1734, 267, 1818, 5483, 1870, 3664, 563, 8139, 8534, 8779, 7352, 1734, 454, 299, 1987, 1942, 1083, 1734, 2049, 950, 972, 568, 513, 15739, 32735, 1063, 519, 6578, 539, 3790, 585, 4074, 543, 519, 4890, 3790, 30309, 269, 1452, 1083, 1734, 666, 581, 1759, 593, 1463, 4074, 3108, 610, 4074, 3928, 269, 589, 15028, 13065, 4523, 950, 519, 4890, 4074, 3790, 616, 2539, 982, 519, 6578, 539, 267, 799, 666, 1267, 689, 9878, 2539, 13848, 982, 9709, 610, 8506, 7864, 3108, 547, 2347, 513, 4305, 563, 3519, 14287, 267, 606, 30369, 13065, 1131, 581, 4767, 950, 4074, 3790, 2097, 538, 2362, 982, 4397, 267, 7654, 1813, 547, 936, 5503, 610, 2362, 13230, 3928, 269, 17291, 543, 1620, 891, 1083, 1734, 568, 1271, 585, 5883, 4074, 3790, 3927, 269, 898, 3322, 7421, 519, 3123, 267, 799, 1223, 2039, 689, 2242, 538, 2344, 3928, 547, 13546, 1553, 13853, 538, 4074, 17293, 269, 18601, 891, 1083, 1734, 568, 513, 1883, 2359, 1907, 585, 9013, 2504, 3790, 543, 17306, 13781, 13345, 563, 24066, 15070, 12313, 7352, 1734, 538, 20907, 532, 454, 25820, 1083, 1734, 538, 22343, 2049, 950, 519, 4890, 1942, 540, 2326, 610, 2533, 15320, 689, 1018, 729, 6578, 539, 269, 901, 1826, 540, 13065, 568, 1713, 267, 2523, 585, 4213, 602, 7048, 8185, 593, 6151, 2326, 610, 5007, 2533, 269, 589, 15028, 3902, 13065, 4523, 950, 519, 4890, 5777, 616, 2539, 982, 519, 6578, 539, 5777, 267, 5732, 1813, 547, 2344, 2175, 610, 2500, 19908, 563, 2304, 30369, 13065, 267, 593, 519, 824, 1688, 267, 14340, 950, 3790, 616, 2362, 982, 4397, 269, 28518, 3902, 1083, 1734, 568, 1898, 585, 1942, 2359, 267, 607, 621, 2337, 538, 1620, 519, 11385, 908, 3790, 540, 5370, 543, 2533, 269, 8617, 5464, 543, 2079, 540, 891, 1083, 1734, 5512, 4213, 547, 4188, 741, 11449, 2994, 543, 6578, 23004, 267, 4509, 20656, 543, 8013, 14499, 563, 22860, 4506, 11730, 7352, 1734, 538, 14863, 12033, 454, 24127, 1083, 1734, 538, 23348, 2049, 950, 519, 4890, 1297, 540, 4559, 3812, 610, 4421, 15320, 689, 519, 6578, 539, 2179, 269, 901, 13065, 568, 2629, 585, 4213, 607, 621, 2047, 5222, 8907, 543, 6378, 3790, 269, 589, 15028, 4320, 13065, 4523, 950, 811, 4559, 616, 4421, 610, 3812, 3379, 547, 519, 6578, 267, 5732, 3056, 547, 2362, 19614, 563, 3519, 14287, 267, 606, 30369, 4320, 13065, 4386, 950, 7864, 4559, 616, 4421, 610, 3812, 267, 7654, 4611, 538, 2539, 19614, 543, 896, 268, 583, 28895, 2200, 269, 20907, 13065, 2079, 2337, 4213, 5659, 4320, 1083, 1734, 543, 1174, 2344, 3747, 543, 2504, 4398, 269, 898, 779, 1898, 585, 1818, 7580, 3664, 3823, 2504, 2157, 267, 6725, 3646, 267, 543, 4199, 14305, 269, 6452, 23847, 20925, 543, 8465, 22343, 666, 948, 538, 1732, 5883, 891, 1083, 1734, 563, 21008, 532, 15474, 543, 20134, 7352, 1734, 454, 21008, 532, 2318, 630, 325, 27544, 264, 543, 2942, 630, 684, 325, 27544, 264, 1083, 1734, 568, 4909, 538, 6578, 13065, 2079, 269, 589, 2318, 13065, 6920, 602, 519, 4890, 2164, 616, 1732, 982, 519, 6578, 539, 3283, 267, 899, 2539, 3790, 610, 2362, 19614, 269, 20134, 1083, 1734, 7866, 519, 6587, 267, 1141, 4890, 2164, 616, 8338, 982, 4397, 269, 24951, 891, 1083, 1734, 2488, 3407, 4030, 883, 1870, 2773, 563, 2005, 2337, 538, 7114, 2127, 1141, 519, 1870, 568, 4597, 532, 543, 2127, 602, 991, 6454, 269, 4197, 519, 3123, 540, 891, 1083, 1734, 267, 2436, 789, 6565, 689, 2344, 2175, 267, 10512, 4398, 267, 610, 14499, 2994, 267, 568, 2629, 585, 7580, 4058, 543, 3375, 6194, 269, 8617, 2079, 540, 891, 1083, 1734, 2636, 4213, 547, 4188, 741, 12485, 543, 2087, 2949, 2883, 1072, 563, 305, 1961, 540, 24619, 9917, 564, 538, 20907, 7352, 766, 5811, 454, 306, 7331, 9917, 1115, 616, 513, 4105, 2359, 1907, 538, 519, 6578, 13065, 2079, 1505, 267, 5356, 513, 3760, 585, 12180, 543, 9236, 2883, 1239, 269, 1358, 1450, 585, 519, 13307, 540, 6578, 539, 2418, 538, 835, 6241, 543, 4890, 2418, 538, 1776, 267, 28976, 519, 6476, 269, 17972, 899, 519, 2048, 12534, 685, 4542, 666, 581, 1031, 547, 5173, 1083, 1734, 2047, 1369, 519, 22369, 269, 24619, 9917, 1115, 1489, 4528, 1852, 267, 4180, 4977, 543, 909, 3562, 15082, 1344, 568, 1031, 538, 519, 2504, 540, 519, 1867, 563, 12234, 267, 789, 666, 6023, 1804, 3732, 1239, 5036, 543, 30387, 1239, 676, 1880 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2171, 539, 2359, 1310, 11944, 454, 763, 2359, 2853, 1310, 11944, 2705, 616, 1175, 607, 1271, 269, 28018, 707, 7693, 610, 27892, 5781, 585, 18290, 2208, 563, 2252, 18047, 1831, 513, 1966, 596, 723, 513, 1297, 540, 3681, 1930, 547, 596, 912, 268, 2422, 513, 16496, 10786, 8336, 547, 6146, 18047, 563, 268, 21864, 21737, 610, 1793, 4770, 666, 948, 2569, 18290, 2208, 269, 3400, 2763, 8185, 538, 2110, 5712, 547, 4894, 18047, 563, 268, 16792, 6992, 16014, 949, 948, 538, 930, 3871, 563, 268, 28981, 18720, 666, 4894, 18047, 563, 10702, 2853, 547, 12366, 1047, 707, 7031, 616, 281, 20993, 519, 3037, 2298, 609, 7908, 559, 16014, 543, 7863, 689, 7786, 563, 288, 26894, 11934, 3622, 2154, 713, 4543, 1688, 267, 2016, 922, 1970, 12680, 269, 8479, 2371, 2523, 991, 1434, 6484, 563, 7197, 7031, 543, 2250, 999, 666, 4324, 689, 513, 5818, 1310, 694, 5338, 563, 19185, 856, 585, 5521, 6285, 607, 851, 540, 2834, 7693, 24422, 666, 948, 9004, 741, 1764, 540, 6932, 610, 3964, 7031, 543, 2250, 999, 563, 268, 2422, 5701, 6079, 563, 268, 1975, 2001, 952, 1152, 2556, 563, 268, 22320, 2249, 610, 8677, 11259, 547, 2199, 1455, 10860, 630, 2041, 2386, 547, 2638, 609, 6237, 9666, 619, 543, 8069, 1101, 1040, 0, 1103, 2617, 566, 538, 519, 3560, 5823, 568, 513, 6117, 3196, 585, 1689, 543, 666, 3565, 547, 2870, 811, 3160, 3560, 1949, 676, 2810, 2021, 779, 10688, 543, 2870, 3255, 585, 7694, 538, 3560, 269, 1717, 267, 519, 13044, 268, 866, 6855, 814, 19018, 958, 4299, 2021, 543, 6690, 269, 7201, 2391, 7862, 2152, 723, 1044, 14556, 1881, 1282, 713, 6433, 269, 16743, 3112, 7759, 519, 3560, 5823, 689, 8635, 676, 3294, 282, 3609, 15670, 723, 606, 1271, 1909, 538, 5466, 8635, 563, 763, 8668, 293, 1867, 11394, 547, 5031, 891, 2042, 269, 3245, 519, 32090, 13398, 267, 5689, 514, 28741, 802, 5459, 543, 5760, 8403, 670, 341, 573, 339, 6601, 1263, 320, 731, 723, 8329, 609, 606, 2376, 593, 3838, 10688, 563, 18131, 2951, 8335, 982, 2367, 269, 6468, 1491, 10156, 15143, 267, 13173, 1453, 547, 1153, 543, 16837, 2238, 267, 543, 798, 17365, 10918, 269, 901, 6988, 538, 2951, 3270, 568, 711, 10630, 538, 519, 3560, 1062, 799, 568, 5097, 2966, 547, 5512, 2804, 2534, 543, 547, 3560, 3755, 689, 1753, 547, 960, 269, 645, 833, 6879, 2130, 568, 9763, 607, 513, 4264, 1797, 540, 3560, 543, 568, 1419, 2219, 547, 4324, 782, 269, 12846, 267, 1382, 2982, 602, 11332, 6879, 2130, 1949, 616, 5631, 1031, 676, 2367, 269, 20212, 538, 2951, 3270, 543, 2115, 723, 711, 1044, 2808, 538, 1646, 540, 11332, 6879, 2130, 1949, 269, 645, 833, 10473, 616, 2356, 4092, 2673, 547, 28737, 1141, 2367, 960, 269, 4518, 17541, 609, 2362, 8167, 540, 2021, 616, 1419, 711, 4448, 547, 519, 1062, 269, 29853, 4058, 2115, 547, 581, 8537, 543, 2919, 585, 513, 10636, 18100, 1895, 609, 1114, 2115, 269, 3194, 538, 4008, 568, 2556, 547, 1683, 1702, 538, 713, 1858, 563, 5649, 519, 2407, 1867, 1934, 281, 13255, 16743, 585, 12655, 4886, 281, 589, 13834, 21887, 1923, 8668, 293, 630, 527, 325, 27984, 21967, 3820, 264, 0, 763, 5046, 268, 866, 6855, 10969, 730, 519, 29617, 2872, 267, 11488, 18213, 3747, 20034, 5471, 532, 543, 32168, 532, 19057, 883, 7963, 269, 1809, 1256, 607, 772, 2529, 269, 2011, 6050, 2941, 539, 609, 519, 5222, 540, 519, 6433, 543, 5249, 547, 948, 4431, 547, 621, 676, 24317, 2564, 10986, 267, 3937, 543, 811, 5063, 10074, 2066, 519, 2197, 543, 1472, 519, 1158, 267, 789, 941, 5462, 547, 4434, 741, 10728, 2825, 19647, 543, 1118, 519, 2872, 779, 22638, 6051, 513, 4264, 835, 563, 2108, 8601, 519, 2942, 5222, 267, 519, 14042, 5222, 267, 540, 5046, 268, 866, 593, 2011, 6050, 267, 649, 2611, 8149, 547, 5885, 2825, 3356, 543, 547, 8236, 6940, 538, 938, 5823, 2223, 5794, 6050, 585, 3013, 18947, 19737, 10615, 540, 7025, 16457, 7033, 623, 2129, 548, 6045, 693, 713, 3018, 779, 5691, 17459, 16026, 28645, 30433, 543, 2506, 3827, 32600, 269, 968, 1692, 798, 649, 2731, 798, 713, 286, 3245, 938, 1448, 540, 2070, 267, 602, 1797, 2679, 593, 938, 2178, 2594, 3034, 4517, 513, 2178, 2594, 621, 568, 281, 13405, 547, 519, 5046, 268, 866, 6433, 267, 772, 2529, 269, 2011, 6050, 941, 24317, 513, 2594, 476, 273, 269, 276, 2929, 15915, 543, 476, 6812, 267, 1822, 9748, 540, 18535, 829, 1554, 267, 6117, 936, 476, 276, 2600, 540, 519, 4182, 779, 12654, 1247, 7700, 1175, 476, 273, 2600, 540, 922, 8511, 3154, 5434, 269, 3683, 519, 2250, 1896, 5756, 267, 772, 2529, 269, 19057, 723, 13497, 4824, 4492, 4398, 543, 4389, 3327, 8166, 5434, 676, 10115, 17542, 538, 4492, 22766, 8484, 543, 9817, 267, 5499, 4066, 899, 13617, 7410, 267, 799, 2087, 7098, 19392, 267, 543, 5969, 12967, 8905, 268, 9953, 574, 1436, 3301, 269, 769, 1249, 267, 789, 4824, 741, 4492, 4398, 676, 476, 2412, 2600, 1063, 476, 1220, 271, 543, 476, 1001, 280, 4805, 563, 1103, 519, 22984, 540, 519, 6855, 267, 772, 2529, 269, 19057, 556, 3530, 3305, 539, 741, 7029, 547, 606, 3486, 6876, 1572, 519, 12539, 5510, 3553, 1154, 543, 22159, 30868, 585, 4139, 28645, 630, 290, 27633, 8656, 1070, 799, 7125, 585, 3327, 16250, 23018, 2208, 538, 3486, 3540, 18229, 4098, 713, 1032, 267, 607, 1134, 607, 547, 606, 16529, 3804, 540, 5969, 2121, 3327, 5434, 538, 3368, 538, 476, 13078, 271, 3448, 547, 476, 1220, 276, 2157, 269, 1358, 849, 20888, 519, 10073, 540, 606, 3486, 4492, 4398, 543, 5434, 3044, 585, 1007, 5010, 8484, 607, 1134, 607, 519, 13170, 540, 513, 18749, 1826, 540, 4264, 18229, 4492, 269, 634, 2417, 1646, 543, 17293, 540, 4264, 18229, 4492, 786, 581, 2629, 547, 8757, 519, 2872, 779, 16529, 5434, 3853, 267, 543, 772, 2529, 269, 2011, 6050, 723, 2907, 13175, 2324, 609, 519, 1007, 7245, 543, 6837, 547, 1020, 4507, 602, 786, 948, 1118, 602, 2009, 563, 10527, 10782, 2804, 6433, 538, 938, 2872, 779, 1686, 267, 543, 649, 4076, 1185, 513, 1297, 540, 2804, 16839, 2507, 814, 1152, 22541, 938, 7029, 547, 6940, 543, 519, 1604, 2223, 623, 2129, 548, 1767, 563, 303, 2129, 548, 849, 12006, 513, 968, 338, 559, 591, 16298, 892, 547, 519, 6855, 779, 14042, 1764, 593, 519, 29617, 2872, 267, 799, 7142, 519, 27733, 540, 5176, 3368, 540, 519, 772, 2529, 269, 18213, 18239, 281, 968, 2005, 779, 18965, 519, 1427, 3931, 540, 1447, 3608, 8484, 267, 865, 607, 519, 2872, 973, 13569, 543, 25579, 8460, 922, 18239, 267, 621, 779, 2469, 547, 798, 865, 609, 1007, 267, 811, 3608, 8484, 2223, 646, 1767, 563, 4517, 1346, 1007, 267, 811, 3608, 8484, 711, 1152, 12520, 1447, 3327, 8166, 267, 789, 849, 12520, 1447, 6846, 563, 2108, 2026, 4238, 9156, 267, 609, 1007, 8484, 5189, 267, 6846, 12632, 786, 581, 1256, 26982, 2678, 2094, 2221, 779, 8484, 616, 827, 476, 2004, 2600, 26982, 2678, 982, 476, 1015, 1296, 3516, 543, 476, 4037, 2600, 26982, 2678, 982, 1101, 22831, 15191, 8484, 2223, 5794, 6050, 585, 3013, 10615, 540, 7025, 16457, 7638, 517, 3821, 17659, 2917, 6045, 693, 519, 1623, 24007, 563, 308, 2529, 269, 2011, 6050, 685, 2594, 540, 4227, 20987, 6846, 568, 1175, 607, 2178, 607, 922, 2594, 540, 4227, 8511, 3154, 5434, 281, 4595, 476, 3192, 276, 267, 772, 2529, 269, 19057, 723, 4389, 519, 1297, 540, 1004, 6534, 547, 1713, 6846, 676, 476, 11463, 2600, 267, 2687, 547, 519, 8549, 28645, 10029, 267, 1519, 513, 476, 2004, 2600, 5786, 1175, 2094, 476, 1220, 271, 563, 2108, 4407, 519, 18213, 19057, 3068, 513, 1279, 4155, 547, 6051, 267, 782, 772, 2529, 269, 2011, 6050, 2611, 8149, 547, 4227, 6846, 5222, 593, 2199, 2950, 2223, 17659, 2917, 1767, 563, 4517, 607, 519, 29617, 2872, 267, 519, 2197, 543, 519, 1158, 979, 1524, 602, 4155, 547, 6051, 267, 772, 2529, 269, 18213, 543, 18535, 19057, 786, 960, 2182, 547, 1118, 519, 6051, 513, 4264, 835, 269, 772, 2529, 269, 2011, 6050, 616, 8149, 547, 7863, 519, 4541, 607, 789, 556, 6618, 621, 267, 543, 789, 786, 3136, 547, 1291, 519, 4339, 1996, 2916, 1689, 676, 10115, 538, 1346, 26982, 2678, 267, 811, 4492, 18026, 8484, 267, 5665, 873, 538, 5051, 3608, 2081, 543, 3384, 543, 1210, 4264, 18229, 10173, 563, 2414, 1451, 811, 827, 519, 772, 2529, 269, 29617, 2872, 779, 7029, 547, 519, 1604, 267, 5225, 3643, 5794, 6050, 293, 569, 16675, 2593, 269, 0, 6097, 547, 13474, 320, 1695, 3896, 267, 3084, 1554, 540, 20528, 568, 1169, 5130, 476, 272, 269, 20528, 729, 2322, 896, 2178, 4914, 2604, 547, 1439, 3592, 1079, 5756, 540, 3540, 2112, 269, 634, 2229, 543, 519, 9501, 299, 300, 1368, 20482, 8759, 8815, 538, 5130, 593, 513, 24044, 13933, 538, 519, 715, 18866, 15142, 538, 3844, 20528, 269, 1323, 3486, 5464, 1895, 729, 2366, 547, 519, 1858, 563, 1103, 4873, 267, 4708, 16395, 3459, 538, 15057, 267, 799, 1310, 2947, 4374, 19411, 730, 538, 606, 6876, 538, 6240, 593, 1079, 540, 519, 3844, 2152, 540, 519, 4655, 269, 634, 2229, 8815, 602, 9099, 1876, 1058, 4019, 1152, 538, 519, 5087, 543, 602, 519, 7264, 540, 519, 5045, 1058, 581, 2016, 513, 22275, 31558, 593, 2009, 7115, 1310, 3670, 1296, 540, 4708, 563, 288, 1007, 5180, 540, 16395, 3459, 538, 4864, 267, 855, 1312, 5011, 9738, 513, 1164, 1377, 540, 23982, 585, 2112, 269, 2991, 513, 1906, 4374, 519, 7391, 2968, 18843, 539, 2094, 519, 1368, 20482, 8759, 1185, 3144, 513, 21825, 1271, 1747, 269, 1280, 513, 942, 267, 18979, 8165, 729, 10692, 2394, 519, 6105, 8815, 593, 513, 24044, 13933, 593, 5239, 476, 1626, 267, 519, 1101, 540, 519, 3003, 4655, 269, 6736, 930, 5496, 1094, 951, 267, 4708, 12909, 4797, 543, 519, 24044, 13933, 729, 6905, 547, 4728, 476, 4029, 267, 476, 1220, 274, 563, 1103, 4873, 476, 2735, 280, 267, 4937, 645, 1662, 597, 24057, 4319, 519, 7022, 543, 1500, 519, 2229, 3743, 585, 519, 2197, 779, 2797, 20300, 6433, 269, 645, 1662, 597, 771, 7171, 539, 519, 2797, 6105, 267, 4646, 513, 476, 1428, 2173, 1897, 4108, 795, 2863, 320, 543, 16219, 547, 1439, 519, 2112, 563, 307, 523, 3275, 1310, 519, 19420, 267, 824, 10492, 5342, 513, 19420, 3801, 269, 2311, 519, 1482, 942, 267, 8942, 676, 18629, 267, 15057, 267, 24063, 267, 2098, 320, 2231, 543, 519, 2136, 2276, 8959, 547, 1199, 5573, 538, 519, 2197, 779, 1486, 26167, 4835, 4655, 269, 634, 1585, 4708, 7341, 8959, 267, 1247, 2229, 10136, 543, 4164, 26090, 6259, 2516, 14102, 676, 645, 1662, 597, 5734, 519, 1004, 540, 519, 5045, 269, 634, 3979, 1004, 538, 519, 3162, 941, 4749, 7142, 547, 4734, 741, 3338, 1813, 547, 6285, 676, 891, 4108, 4559, 563, 4002, 5988, 476, 275, 267, 476, 1960, 272, 267, 519, 2229, 5189, 513, 10480, 518, 894, 2497, 538, 519, 2197, 269, 20528, 729, 5258, 883, 476, 280, 2829, 267, 1142, 13950, 676, 513, 17294, 543, 513, 14012, 658, 14643, 269, 1325, 2819, 593, 5130, 476, 4029, 267, 4937, 744, 3405, 645, 1662, 597, 779, 2229, 1185, 9896, 513, 1007, 7803, 1876, 1759, 593, 9099, 1744, 7559, 1107, 1498, 1152, 538, 519, 7187, 851, 540, 519, 2197, 1141, 5771, 568, 519, 8789, 4984, 563, 1103, 519, 1101, 3275, 540, 476, 1960, 273, 267, 519, 2136, 2276, 8433, 585, 28155, 8081, 28715, 519, 9836, 608, 3410, 1588, 540, 715, 889, 1014, 16350, 607, 1134, 607, 519, 12761, 540, 1004, 1996, 9390, 2127, 269, 1452, 2663, 22646, 585, 10609, 691, 537, 332, 267, 1141, 789, 941, 6394, 538, 13122, 1510, 6704, 1216, 610, 4234, 21218, 563, 1103, 4728, 267, 609, 519, 1489, 540, 18629, 267, 9459, 543, 8644, 5984, 267, 519, 2229, 3459, 513, 4108, 18086, 1996, 519, 4658, 779, 8644, 3130, 8136, 630, 293, 289, 1070, 2921, 593, 519, 2749, 540, 645, 1817, 538, 519, 5045, 267, 799, 729, 513, 3090, 540, 519, 32574, 563, 8601, 922, 4108, 18086, 267, 519, 2229, 4503, 2479, 811, 1852, 936, 519, 9703, 540, 519, 2197, 269, 769, 519, 5045, 13234, 519, 4658, 779, 8644, 3130, 8136, 267, 3366, 676, 3627, 12275, 836, 267, 543, 538, 519, 5087, 519, 715, 553, 597, 31111, 1895, 3366, 676, 681, 773, 330, 631, 1662, 541, 267, 945, 1185, 7745, 856, 540, 519, 4658, 779, 8644, 3130, 8136, 269, 634, 18633, 3510, 3366, 519, 2229, 547, 10880, 2182, 1996, 519, 11685, 543, 538, 519, 24781, 1996, 519, 14252 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1432, 568, 2808, 513, 1126, 286, 589, 1126, 568, 513, 1480, 1373, 945, 814, 711, 6603, 519, 2085, 540, 5354, 269, 634, 2085, 540, 5354, 568, 476, 1240, 1296, 2025, 538, 1034, 2477, 267, 855, 621, 949, 581, 1114, 538, 930, 2477, 269, 589, 1126, 568, 513, 5634, 267, 2576, 945, 568, 711, 606, 2937, 563, 1432, 2085, 568, 835, 2808, 1126, 888, 1432, 2085, 568, 835, 2808, 513, 1126, 888, 2467, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 621, 9775, 689, 2197, 547, 2197, 543, 1256, 689, 1533, 547, 1533, 269, 769, 2489, 267, 1034, 2477, 543, 2829, 2015, 513, 1268, 547, 581, 513, 1126, 2394, 789, 3914, 519, 2085, 540, 476, 1240, 269, 1717, 267, 972, 616, 930, 17756, 269, 1280, 1383, 267, 538, 519, 2136, 2276, 267, 513, 1268, 568, 2808, 513, 1126, 2394, 789, 3914, 519, 2085, 540, 476, 2641, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 6704, 2085, 538, 519, 2136, 2276, 568, 476, 2641, 563, 2467, 616, 513, 1297, 540, 4128, 1946, 519, 2085, 540, 476, 1240, 568, 2808, 547, 581, 519, 2085, 540, 15296, 538, 1034, 2477, 269, 2290, 540, 519, 1292, 4128, 568, 602, 476, 1240, 568, 519, 2085, 693, 799, 513, 1268, 568, 16155, 4847, 547, 8917, 267, 1129, 11731, 267, 543, 581, 4371, 18177, 585, 741, 3527, 269, 6271, 2601, 568, 602, 476, 1240, 568, 3622, 2808, 547, 581, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 9921, 2614, 547, 1118, 3664, 585, 2933, 563, 8601, 519, 1249, 602, 476, 1240, 568, 3622, 2808, 547, 581, 519, 2085, 540, 15296, 267, 972, 616, 930, 2477, 1141, 519, 2085, 540, 5354, 568, 2539, 269, 1280, 1383, 267, 538, 16266, 519, 2085, 540, 5354, 568, 476, 1240, 267, 538, 3567, 621, 568, 476, 736, 267, 543, 538, 18335, 621, 568, 476, 2641, 269, 17957, 267, 972, 616, 930, 2477, 1141, 519, 2085, 540, 5354, 568, 2362, 269, 1280, 1383, 267, 538, 5527, 519, 2085, 540, 5354, 568, 476, 1839, 267, 538, 8478, 621, 568, 476, 1789, 267, 543, 538, 18142, 17936, 621, 568, 476, 3374, 563, 3383, 267, 1018, 2085, 568, 835, 2808, 513, 1126, 286, 634, 2626, 547, 713, 2243, 5673, 593, 519, 2197, 610, 1533, 538, 799, 596, 2661, 269, 769, 1034, 2665, 267, 2705, 267, 519, 2626, 568, 476, 1240, 563, 3674, 476, 1704, 1296, 2025, 1869, 513, 1126, 888, 1103, 1034, 2477, 267, 519, 2085, 540, 5354, 568, 476, 1240, 269, 901, 568, 519, 2085, 693, 799, 513, 1268, 568, 16155, 2808, 606, 2937, 269, 769, 930, 2665, 267, 971, 607, 538, 519, 2136, 2276, 267, 519, 2085, 540, 5354, 568, 2539, 267, 693, 476, 2641, 269, 901, 1797, 602, 513, 1268, 945, 568, 476, 2641, 610, 4587, 568, 2808, 547, 581, 606, 2937, 538, 519, 4064, 540, 519, 1876, 563, 2467, 568, 1100, 17046, 2626, 547, 519, 2243, 540, 2436, 476, 1704, 568, 1869, 513, 1126, 269, 901, 786, 4096, 593, 519, 2197, 538, 2243, 543, 593, 519, 1808, 4031, 602, 616, 538, 1747, 269, 769, 930, 2665, 267, 513, 1268, 945, 568, 476, 1704, 949, 581, 2808, 547, 581, 513, 1126, 267, 1247, 538, 1866, 267, 789, 949, 581, 2808, 547, 581, 606, 2937, 563, 2005, 568, 1271, 547, 4063, 602, 519, 2085, 540, 5354, 568, 711, 519, 1482, 607, 519, 2085, 540, 9844, 269, 634, 2085, 540, 9844, 568, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 16155, 2111, 547, 9844, 547, 4638, 2534, 269, 634, 2085, 540, 5354, 568, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 16155, 606, 2937, 563, 3674, 1373, 476, 1321, 2808, 513, 1126, 888, 1103, 1082, 4025, 1472, 519, 1158, 267, 519, 2626, 547, 713, 2243, 1131, 581, 513, 759, 15929, 968, 13433, 1848, 1809, 972, 616, 849, 2477, 1141, 519, 3656, 2085, 540, 15296, 568, 2539, 982, 476, 1321, 269, 1924, 267, 1018, 568, 519, 2626, 888, 1103, 1034, 4025, 267, 519, 2085, 540, 5354, 1107, 519, 2085, 693, 799, 513, 1268, 568, 2808, 606, 2937, 538, 519, 4064, 540, 519, 1876, 1107, 568, 476, 1240, 269, 1809, 972, 616, 513, 1297, 540, 17756, 269, 769, 18335, 267, 585, 1383, 267, 519, 2085, 540, 5354, 568, 476, 1691, 269, 1656, 538, 3567, 267, 621, 779, 476, 736, 563, 3383, 267, 1946, 568, 972, 971, 8390, 689, 2197, 547, 2197, 286, 634, 2626, 814, 547, 798, 609, 513, 3099, 540, 2188, 267, 1519, 2528, 267, 4984, 267, 543, 2245, 563, 1103, 930, 2665, 267, 519, 2085, 540, 5354, 568, 2539, 1317, 519, 3656, 1062, 15109, 1295, 832, 547, 581, 538, 513, 1533, 540, 13829, 269, 901, 568, 519, 2013, 538, 18335, 267, 1141, 519, 1876, 2829, 602, 1295, 832, 616, 968, 684, 762, 547, 1491, 1416, 540, 2933, 3034, 1103, 824, 2665, 267, 519, 2085, 540, 5354, 568, 2539, 1317, 540, 519, 2956, 540, 1920, 543, 2245, 269, 769, 3567, 267, 585, 1383, 267, 519, 2085, 540, 5354, 568, 2539, 1317, 519, 2197, 2418, 519, 2956, 540, 1920, 269, 5545, 2528, 9598, 919, 602, 1453, 1058, 2661, 609, 741, 3237, 2394, 789, 3914, 513, 1978, 2085, 1107, 538, 1034, 2665, 267, 9310, 15185, 7227, 2394, 741, 1453, 616, 693, 2547, 476, 736, 1296, 2025, 1354, 3001, 856, 563, 3383, 267, 568, 1373, 476, 1321, 2808, 513, 1126, 286, 898, 5673, 593, 1141, 596, 2661, 563, 3674, 476, 1240, 1869, 513, 1126, 888, 3674, 476, 1240, 1869, 513, 1126, 286, 901, 568, 513, 2243, 602, 814, 1044, 23503, 585, 1296, 269, 1703, 616, 1346, 945, 3494, 602, 2899, 513, 1268, 7140, 476, 1240, 267, 789, 616, 2808, 606, 2937, 543, 1058, 581, 5701, 607, 971, 269, 1703, 616, 849, 1346, 945, 3494, 602, 476, 1240, 568, 1869, 1932, 1762, 547, 581, 2808, 606, 2937, 267, 543, 602, 1004, 1058, 711, 581, 2016, 519, 2407, 2924, 543, 9021, 540, 15296, 2394, 789, 616, 4587, 563, 2467, 616, 513, 1297, 540, 2188, 602, 991, 547, 581, 2808, 950, 16460, 713, 2243, 269, 2290, 568, 519, 3656, 4214, 540, 15296, 269, 769, 1034, 2477, 267, 519, 2085, 540, 5354, 568, 476, 1240, 269, 901, 1797, 602, 1004, 896, 519, 2085, 540, 476, 1240, 616, 2808, 1295, 832, 267, 543, 616, 711, 4847, 547, 1118, 1978, 3664, 1510, 519, 9844, 540, 741, 3237, 610, 25330, 269, 1358, 616, 849, 711, 4847, 547, 8917, 267, 4196, 593, 513, 21139, 267, 610, 4444, 4568, 610, 13189, 563, 5194, 3815, 547, 2015, 568, 15657, 269, 1703, 568, 1100, 1305, 2085, 693, 799, 513, 1268, 3587, 4628, 9921, 269, 901, 9775, 689, 1268, 547, 1268, 269, 2368, 476, 1240, 4458, 29419, 616, 1360, 9921, 543, 616, 2111, 547, 6023, 519, 9021, 540, 15296, 267, 1247, 1866, 616, 711, 3833, 4712, 585, 621, 563, 2467, 568, 1100, 2653, 2626, 547, 519, 2243, 540, 2436, 476, 1240, 568, 1869, 513, 1126, 269, 898, 5673, 593, 1367, 6381, 269, 2368, 476, 1240, 4458, 29419, 616, 4712, 547, 581, 4079, 267, 1247, 1866, 616, 711, 269, 898, 568, 909, 547, 1142, 1268, 547, 6430, 950, 789, 616, 4712, 547, 1491, 593, 519, 9021, 540, 15296, 563, 1432, 2085, 616, 596, 1100, 3476, 513, 4819, 888, 2467, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 3025, 779, 2833, 543, 8847, 540, 968, 330, 573, 892, 543, 968, 326, 3497, 909, 892, 786, 581, 1114, 269, 1717, 267, 649, 666, 2263, 930, 2489, 2093, 827, 950, 1004, 3247, 6236, 2933, 3214, 563, 3080, 1455, 4214, 540, 513, 968, 330, 573, 892, 568, 2576, 945, 568, 711, 2943, 606, 2937, 269, 4340, 547, 713, 4214, 267, 1004, 3247, 1373, 3214, 950, 789, 3914, 15296, 267, 799, 568, 3335, 2808, 547, 581, 476, 1240, 610, 476, 2641, 1296, 2025, 267, 4470, 593, 519, 2197, 563, 4913, 267, 972, 616, 849, 1082, 1004, 945, 2015, 2933, 3214, 1134, 883, 741, 1000, 550, 625, 610, 1256, 19412, 2906, 269, 901, 949, 581, 1813, 547, 519, 1249, 602, 519, 5912, 547, 15296, 568, 4742, 5051, 16607, 267, 607, 1004, 616, 9363, 538, 1153, 3476, 543, 8488, 532, 7365, 543, 30822, 11856, 563, 27407, 267, 972, 568, 1100, 2582, 2626, 547, 713, 2243, 269, 898, 568, 16148, 543, 5673, 593, 1142, 1268, 779, 1367, 2833, 543, 4214, 540, 968, 330, 573, 1848, 1717, 267, 649, 666, 2263, 930, 2489, 2093, 827, 950, 1004, 3247, 6236, 2933, 3214, 563, 3674, 476, 1839, 1869, 513, 4819, 888, 763, 2626, 547, 713, 2243, 568, 513, 759, 15929, 267, 968, 2005, 5673, 3034, 1103, 1082, 2081, 267, 476, 1839, 568, 1869, 1762, 269, 1411, 666, 2693, 2503, 547, 723, 1082, 1296, 540, 1434, 1072, 6619, 540, 596, 267, 543, 596, 2461, 2693, 711, 2943, 6849, 1082, 540, 519, 2591, 602, 2097, 609, 2663, 15296, 563, 4913, 267, 476, 1839, 568, 849, 1100, 3476, 513, 21717, 267, 543, 596, 2461, 2693, 4358, 547, 1995, 930, 540, 519, 2591, 543, 9021, 540, 15296, 269, 1411, 949, 581, 4358, 547, 1589, 827, 707, 4876, 543, 707, 2104, 811, 12517, 267, 543, 596, 949, 581, 4358, 547, 1118, 3664, 602, 786, 723, 513, 9434, 1764, 593, 707, 1272, 563, 3383, 267, 568, 476, 1839, 1869, 513, 4819, 286, 898, 5673, 593, 707, 5133, 269, 476, 1839, 568, 1762, 2614, 547, 723, 513, 2603, 540, 1272, 6619, 540, 596, 267, 855, 621, 779, 849, 2025, 2614, 547, 1376, 2921, 707, 1272, 12517, 563, 1432, 2085, 568, 513, 2937, 888, 1432, 2085, 568, 513, 2937, 888, 763, 3656, 2085, 540, 15296, 538, 519, 2136, 2276, 568, 476, 1240, 269, 901, 1797, 602, 2043, 945, 616, 476, 1240, 1296, 610, 4587, 616, 2808, 547, 581, 16155, 4079, 543, 616, 3743, 585, 741, 1378, 3527, 269, 1703, 616, 930, 17756, 547, 713, 4341, 267, 971, 607, 538, 519, 2013, 540, 4108, 3028, 610, 13359, 267, 1141, 519, 2085, 540, 15296, 568, 476, 2641, 563, 2467, 568, 1100, 835, 2626, 547, 519, 2243, 540, 1018, 2085, 568, 513, 2937, 267, 607, 972, 568, 1100, 2582, 4214, 540, 15296, 269, 769, 930, 2665, 267, 15296, 949, 3277, 547, 519, 2085, 693, 799, 513, 1268, 568, 2111, 547, 16155, 1118, 741, 1378, 3664, 269, 769, 824, 2665, 267, 621, 949, 3277, 547, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 14156, 610, 15508, 9921, 2614, 547, 6023, 2937, 9021, 563, 763, 2085, 540, 15296, 666, 4268, 689, 2197, 547, 2197, 269, 769, 930, 2477, 267, 971, 607, 16266, 543, 18335, 267, 519, 2085, 540, 15296, 568, 476, 1240, 269, 769, 824, 2477, 267, 971, 607, 9459, 543, 18142, 17936, 267, 519, 2085, 540, 15296, 568, 476, 2641, 563, 2467, 568, 1100, 835, 2626, 547, 519, 2243, 540, 1018, 2085, 568, 513, 2937, 269, 11086, 267, 621, 568, 909, 547, 1142, 1367, 547, 6430, 950, 789, 1745, 4712, 547, 1491, 593, 519, 9021, 540, 15296, 269, 0, 763, 6639, 8441, 540, 519, 2250, 1906, 5756, 723, 3366, 547, 1082, 1007, 2081, 540, 2792, 267, 1519, 3381, 1476, 17182, 269, 901, 568, 513, 2029, 602, 2636, 1004, 547, 5968, 609, 1142, 824, 1210, 513, 1357, 31748, 543, 4950, 4276, 269, 1703, 616, 1082, 5383, 547, 1210, 3381, 1476, 17182, 267, 1519, 519, 2702, 547, 1294, 543, 5873, 519, 1268, 596, 616, 6158, 547, 267, 607, 1134, 607, 1373, 2111, 547, 2671, 6054, 543, 6119, 269, 11473, 1476, 17182, 666, 581, 1031, 585, 1870, 11401, 267, 1920, 19771, 267, 610, 1256, 1175, 13680, 7391, 1063, 2828, 563, 3080, 5413, 540, 3381, 1476, 17182, 568, 602, 621, 2636, 596, 547, 1294, 519, 1268, 596, 616, 6158, 609, 269, 901, 666, 581, 5363, 538, 1870, 11401, 950, 3843, 547, 15378, 1560, 1893, 543, 11132, 7215, 269, 898, 666, 849, 581, 6225, 538, 2123, 7391, 1317, 621, 3947, 596, 513, 1732, 2631, 540, 4276, 609, 519, 824, 1268, 269, 6271, 5413, 540, 3381, 1476, 17182, 568, 602, 621, 2636, 596, 547, 2671, 6054, 543, 6119, 3362, 1282, 707, 6643, 269, 901, 666, 581, 5363, 952, 596, 991, 547, 1397, 2576, 513, 17948, 6881, 610, 606, 1271, 3561, 1282, 707, 5870, 610, 10004, 8400, 269, 0, 5715, 14995, 267, 1683, 6505, 1769, 269, 4495, 3964, 267, 2115, 1152, 17573, 1216, 1282, 519, 3905, 4005, 269, 5901, 3592, 3819, 538, 519, 5162, 269, 1234, 27896, 622, 1169, 476, 274, 268, 275, 1296, 538, 2038, 5614, 676, 804, 6235, 543, 556, 268, 549, 7627, 887, 3553, 5052, 563, 289, 525, 728, 1657, 267, 875, 798, 596, 29608, 13711, 15090, 3149 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1820, 3488, 13040, 268, 279, 5325, 815, 910, 278, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 13040, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4366, 912, 1038, 1820, 3488, 13040, 268, 279, 4366, 815, 910, 278, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 13040, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5392, 912, 1038, 1820, 3488, 13040, 268, 279, 5392, 815, 910, 278, 5655, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 8517, 912, 1038, 1820, 3488, 10482, 268, 8517, 815, 910, 7597, 273, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 272, 912, 1038, 1820, 3488, 10482, 268, 3199, 272, 815, 910, 7597, 274, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 26764, 912, 1038, 1820, 3488, 10482, 268, 26764, 815, 910, 7597, 275, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 274, 912, 1038, 1820, 3488, 10482, 268, 3199, 274, 815, 910, 277, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 275, 912, 1038, 1820, 3488, 10482, 268, 3199, 275, 815, 910, 7597, 277, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 276, 912, 1038, 1820, 3488, 10482, 268, 3199, 276, 815, 910, 7597, 278, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 277, 912, 1038, 1820, 3488, 10482, 268, 3199, 277, 815, 910, 277, 7176, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 278, 912, 1038, 1820, 3488, 10482, 268, 3199, 278, 815, 910, 277, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 279, 912, 1038, 1820, 3488, 10482, 268, 3199, 279, 815, 910, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 280, 912, 1038, 1820, 3488, 10482, 268, 3199, 280, 815, 910, 3583, 272, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1015, 912, 1038, 1820, 3488, 10482, 268, 279, 1015, 815, 910, 3583, 273, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1556, 912, 1038, 1820, 3488, 10482, 268, 279, 1556, 815, 910, 3583, 274, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1321, 912, 1038, 1820, 3488, 10482, 268, 279, 1321, 815, 910, 3583, 275, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1724, 912, 1038, 1820, 3488, 10482, 268, 279, 1724, 815, 910, 3583, 276, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1691, 912, 1038, 1820, 3488, 10482, 268, 279, 1691, 815, 910, 3583, 277, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1428, 912, 1038, 1820, 3488, 10482, 268, 279, 1428, 815, 910, 3583, 278, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1626, 912, 1038, 1820, 3488, 10482, 268, 279, 1626, 815, 910, 3583, 279, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1704, 912, 1038, 1820, 3488, 10482, 268, 279, 1704, 815, 910, 3583, 280, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1240, 912, 1038, 1820, 3488, 10482, 268, 279, 1240, 815, 910, 278, 1015, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 866, 912, 1038, 1820, 3488, 10482, 268, 279, 866, 815, 910, 278, 1556, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 736, 912, 1038, 1820, 3488, 10482, 268, 279, 736, 815, 910, 278, 1321, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2641, 912, 1038, 1820, 3488, 10482, 268, 279, 2641, 815, 910, 278, 1724, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2420, 912, 1038, 1820, 3488, 10482, 268, 279, 2420, 815, 910, 278, 1691, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2537, 912, 1038, 1820, 3488, 10482, 268, 279, 2537, 815, 910, 278, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2190, 912, 1038, 1820, 3488, 10482, 268, 279, 2190, 815, 910, 278, 1626, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1839, 912, 1038, 1820, 3488, 10482, 268, 279, 1839, 815, 910, 278, 1704, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2918, 912, 1038, 1820, 3488, 10482, 268, 279, 2918, 815, 910, 278, 1240, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2767, 912, 1038, 1820, 3488, 10482, 268, 279, 2767, 815, 910, 278, 866, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2764, 912, 1038, 1820, 3488, 10482, 268, 279, 2764, 815, 910, 24798, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3066, 912, 1038, 1820, 3488, 10482, 268, 279, 3066, 815, 910, 278, 2641, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1789, 912, 1038, 1820, 3488, 10482, 268, 279, 1789, 815, 910, 278, 2420, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4029, 912, 1038, 1820, 3488, 10482, 268, 279, 4029, 815, 910, 278, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3953, 912, 1038, 1820, 3488, 10482, 268, 279, 3953, 815, 910, 278, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3451, 912, 1038, 1820, 3488, 10482, 268, 279, 3451, 815, 910, 278, 1839, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4097, 912, 1038, 1820, 3488, 10482, 268, 279, 4097, 815, 910, 278, 2918, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3374, 912, 1038, 1820, 3488, 10482, 268, 279, 3374, 815, 910, 278, 2767, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3607, 912, 1038, 1820, 3488, 10482, 268, 279, 3607, 815, 910, 278, 2764, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4391, 912, 1038, 1820, 3488, 10482, 268, 279, 4391, 815, 910, 278, 3066, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4343, 912, 1038, 1820, 3488, 10482, 268, 279, 4343, 815, 910, 278, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4375, 912, 1038, 1820, 3488, 10482, 268, 279, 4375, 815, 910, 278, 4029, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2412, 912, 1038, 1820, 3488, 10482, 268, 279, 2412, 815, 910, 278, 3953, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 6078, 912, 1038, 1820, 3488, 10482, 268, 279, 6078, 815, 910, 278, 3451, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5655, 912, 1038, 1820, 3488, 10482, 268, 279, 5655, 815, 910, 278, 4097, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 6246, 912, 1038, 1820, 3488, 10482, 268, 279, 6246, 815, 910, 278, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4510, 912, 1038, 1820, 3488, 10482, 268, 279, 4510, 815, 910, 278, 3607, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3393, 912, 1038, 1820, 3488, 10482, 268, 279, 3393, 815, 910, 278, 4391, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5379, 912, 1038, 1820, 3488, 10482, 268, 279, 5379, 815, 910, 278, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5325, 912, 1038, 1820, 3488, 10482, 268, 279, 5325, 815, 910, 278, 4375, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4366, 912, 1038, 1820, 3488, 10482, 268, 279, 4366, 815, 910, 278, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5392, 912, 1038, 1820, 3488, 10482, 268, 279, 5392, 815, 910, 278, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 8517, 912, 1038, 1820, 3488, 11820, 268, 8517, 815, 910, 7597, 272, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 272, 912, 1038, 1820, 3488, 11820, 268, 3199, 272, 815, 910, 7597, 273, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 26764, 912, 1038, 1820, 3488, 11820, 268, 26764, 815, 910, 7597, 274, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 274, 912, 1038, 1820, 3488, 11820, 268, 3199, 274, 815, 910, 7597, 275, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 275, 912, 1038, 1820, 3488, 11820, 268, 3199, 275, 815, 910, 277, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 276, 912, 1038, 1820, 3488, 11820, 268, 3199, 276, 815, 910, 7597, 277, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 277, 912, 1038, 1820, 3488, 11820, 268, 3199, 277, 815, 910, 7597, 278, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 278, 912, 1038, 1820, 3488, 11820, 268, 3199, 278, 815, 910, 277, 7176, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 279, 912, 1038, 1820, 3488, 11820, 268, 3199, 279, 815, 910, 277, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 280, 912, 1038, 1820, 3488, 11820, 268, 3199, 280, 815, 910, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1015, 912, 1038, 1820, 3488, 11820, 268, 279, 1015, 815, 910, 3583, 272, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1556, 912, 1038, 1820, 3488, 11820, 268, 279, 1556, 815, 910, 3583, 273, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1321, 912, 1038, 1820, 3488, 11820, 268, 279, 1321, 815, 910, 3583, 274, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1724, 912, 1038, 1820, 3488, 11820, 268, 279, 1724, 815, 910, 3583, 275, 5073, 825 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 562, 815, 476, 271, 10371, 631, 266, 301, 268, 273, 1547, 14424, 519, 1267, 547, 519, 5276, 28708, 540, 1535, 543, 586, 269, 634, 1085, 27251, 4732, 793, 531, 26769, 341, 9876, 3890, 1599, 1152, 2488, 834, 332, 1712, 257, 855, 711, 834, 20129, 776, 2580, 1247, 519, 5365, 26769, 341, 9876, 273, 323, 3890, 1599, 2115, 476, 273, 323, 5044, 607, 3403, 907, 2991, 596, 538, 3200, 519, 1587, 540, 519, 667, 10499, 338, 267, 11677, 1152, 519, 1101, 715, 1341, 700, 910, 476, 272, 2609, 269, 901, 6257, 513, 2241, 1505, 594, 1336, 547, 798, 9764, 28708, 267, 799, 594, 1589, 568, 12863, 982, 17830, 15481, 630, 842, 610, 24042, 264, 1107, 12025, 540, 519, 5996, 6295, 17830, 269, 594, 4898, 952, 972, 781, 513, 1599, 538, 11885, 270, 2675, 27251, 585, 476, 272, 323, 5044, 9764, 28708, 269, 8562, 983, 28708, 14340, 1034, 1419, 538, 519, 2796, 540, 3728, 28708, 609, 513, 3728, 22263, 2981, 630, 293, 10499, 264, 5690, 269, 1411, 666, 849, 2824, 513, 1357, 3135, 689, 519, 1739, 1592, 281, 8564, 519, 3624, 3135, 630, 514, 4457, 610, 2296, 264, 585, 1655, 3135, 2773, 269, 2637, 4733, 1079, 10321, 543, 12337, 741, 1110, 25222, 268, 275, 9764, 28708, 269, 9373, 1101, 1239, 5311, 281, 9373, 2034, 1239, 5311, 281, 12433, 1763, 564, 281, 28088, 1239, 5311, 281, 1230, 23728, 9819, 269, 2073, 1412, 516, 12393, 1412, 610, 1412, 15132, 983, 1412, 3510, 14340, 538, 519, 1257, 568, 12628, 538, 713, 2807, 3738, 5690, 23422, 23556, 29283, 1239, 19554, 856, 938, 824, 2979, 26732, 971, 607, 15053, 4577, 6399, 18185, 610, 13379, 539, 18185, 1862, 1772, 1256, 1454, 12863, 1141, 513, 1062, 630, 700, 2316, 1062, 3738, 666, 581, 982, 256, 769, 5365, 14409, 1141, 513, 1062, 630, 700, 2316, 1062, 3738, 666, 581, 5612, 15600, 1184, 29349, 568, 1582, 256, 3525, 25222, 268, 274, 9764, 28708, 9764, 28708, 9498, 581, 5612, 15600, 267, 1422, 325, 7901, 2715, 476, 11011, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 3738, 568, 11609, 1210, 6516, 256, 1677, 24590, 519, 5276, 28708, 540, 1804, 1239, 1606, 1115, 26893, 267, 2230, 610, 4283, 607, 3021, 2209, 707, 1862, 3738, 1948, 9764, 28708, 9498, 670, 630, 512, 3738, 1948, 1948, 670, 630, 512, 1948, 1862, 4569, 26732, 971, 607, 15053, 4577, 6399, 18185, 610, 13379, 539, 19105, 18185, 547, 5635, 1930, 5288, 9764, 28708, 568, 540, 1862, 8562, 983, 10889, 1359, 568, 562, 1405, 2877, 585, 513, 28708, 9819, 1062, 4642, 15581, 3210, 1813, 547, 1022, 3403, 9789, 1271, 256, 1677, 281, 5403, 22227, 630, 2311, 558, 3738, 7427, 619, 519, 2034, 1766, 663, 547, 16783, 609, 519, 9949, 3977, 3259, 5403, 630, 256, 22549, 267, 14950, 519, 28708, 540, 519, 667, 10499, 338, 267, 11677, 1152, 519, 1101, 10421, 14249, 267, 9764, 28708, 9498, 609, 2807, 674, 630, 512, 3738, 568, 9764, 28708, 609, 966, 776, 532, 3977, 3259, 267, 14950, 519, 28708, 476, 274, 256, 7316, 1422, 630, 1422, 322, 597, 743, 539, 770, 1422, 3738, 568, 1634, 607, 28708, 543, 5635, 621, 547, 519, 5276, 28708, 616, 20979, 256, 901, 6516, 581, 9674, 1210, 5624, 3541, 7788, 1695, 1889, 267, 30385, 9948, 546, 817, 6178, 1446, 256, 4635, 5624, 1031, 547, 5996, 9876, 1079, 15768, 22263, 2981, 9696, 20193, 568, 5488, 585, 1279, 982, 269, 19243, 6908, 586, 630, 715, 2845, 476, 273, 715, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 17354, 269, 1403, 596, 798, 711, 14574, 715, 267, 1287, 519, 28708, 585, 476, 274, 5094, 2665, 28708, 585, 476, 274, 5094, 27085, 20837, 586, 630, 715, 3738, 607, 11609, 538, 4137, 476, 276, 803, 2491, 621, 513, 2370, 596, 2824, 281, 547, 269, 1280, 811, 1344, 267, 1294, 14840, 30731, 12793, 593, 513, 29453, 630, 23155, 17270, 15484, 7901, 3738, 1294, 269, 7102, 3403, 9789, 1034, 1271, 1966, 585, 5276, 1949, 3738, 4238, 630, 5569, 267, 18593, 3738, 12025, 1862, 1422, 3738, 568, 11609, 1210, 513, 6516, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 3738, 568, 1210, 256, 5525, 519, 30424, 540, 5276, 1062, 3069, 4610, 666, 581, 5488, 982, 5276, 28708, 540, 3403, 10321, 267, 1535, 586, 1862, 28088, 547, 519, 5276, 28708, 540, 1535, 543, 586, 1101, 715, 1341, 700, 910, 476, 272, 2609, 23463, 1862, 1656, 536, 269, 715, 568, 519, 3259, 540, 519, 3119, 2035, 540, 5276, 1062, 2807, 7956, 4610, 1141, 596, 4283, 519, 1101, 10421, 1862, 9948, 546, 817, 5884, 6178, 1446, 3541, 269, 20023, 6261, 32061, 3773, 547, 1312, 5011, 540, 519, 1079, 6786, 267, 7551, 17598, 519, 1101, 10421, 513, 269, 1924, 267, 798, 1775, 991, 547, 798, 713, 547, 5635, 1930, 5288, 9764, 28708, 11532, 519, 540, 269, 26361, 3009, 585, 28708, 18185, 519, 9756, 1599, 540, 535, 630, 512, 3738, 568, 9764, 28708, 540, 3403, 10321, 1535, 1862, 14938, 1878, 883, 513, 2582, 9764, 28708, 9498, 5311, 281, 4283, 2034, 1239, 5311, 281, 9819, 256, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 1482, 267, 543, 519, 1964, 568, 3274, 16053, 12337, 28708, 256, 1677, 1685, 741, 9273, 630, 1422, 322, 597, 743, 539, 770, 1422, 3738, 741, 1110, 25222, 268, 275, 9764, 28708, 540, 1804, 1239, 1606, 1115, 267, 256, 4112, 534, 2218, 855, 1577, 803, 2491, 621, 513, 2370, 2147, 547, 519, 5276, 28708, 1599, 5996, 946, 1114, 547, 256, 3933, 2195, 3516, 1310, 1142, 3977, 3625, 568, 6383, 621, 568, 519, 3259, 540, 5996, 6295, 12727, 28708, 9819, 267, 1317, 1169, 3732, 666, 581, 5488, 982, 5276, 28708, 519, 28708, 3259, 543, 1281, 7941, 1862, 3657, 13366, 538, 519, 2796, 540, 3728, 28708, 609, 966, 776, 532, 3977, 3259, 568, 4130, 982, 519, 28708, 543, 798, 1039, 256, 6904, 5337, 2803, 3606, 21325, 538, 519, 2796, 540, 519, 1257, 568, 12628, 713, 269, 595, 935, 341, 609, 575, 30298, 26161, 3615, 3340, 23155, 17270, 15484, 7901, 3738, 547, 1294, 1018, 13382, 5825, 616, 6462, 28708, 540, 256, 1656, 31669, 519, 2034, 1239, 5311, 281, 4283, 2034, 1239, 5311, 519, 1062, 4642, 15581, 3210, 1813, 547, 3403, 9789, 269, 18185, 602, 568, 1031, 547, 5996, 9876, 1079, 15768, 22263, 2981, 630, 674, 10499, 3738, 5690, 3444, 2275, 528, 21975, 269, 8298, 476, 273, 715, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 1482, 3259, 607, 519, 3476, 1422, 1862, 7043, 9696, 982, 5276, 28708, 2491, 621, 513, 2370, 5365, 1373, 2813, 1063, 1142, 3942, 799, 24222, 538, 519, 2796, 540, 519, 1079, 6786, 9967, 540, 513, 5384, 3126, 6780, 513, 1862, 18452, 2039, 616, 2808, 547, 10956, 21237, 267, 7551, 17598, 519, 1101, 715, 1341, 700, 910, 2609, 1862, 30770, 9764, 28708, 568, 835, 540, 519, 1257, 568, 12628, 538, 713, 6516, 28708, 538, 547, 269, 634, 4611, 6152, 11885, 26769, 341, 9876, 855, 621, 568, 1256, 1454, 12863, 883, 519, 5996, 9407, 6908, 269, 590, 1938, 540, 519, 1257, 4610, 666, 581, 5488, 982, 5276, 28708, 9764, 28708, 9498, 543, 1862, 9061, 4211, 528, 21975, 17223, 1210, 1535, 14585, 337, 7788, 1695, 1889, 267, 30385, 9948, 546, 817, 5884, 6178, 1446, 14193, 29967, 518, 15595, 321, 3541, 546, 3420, 5884, 13096, 839, 24477, 2763, 2040, 540, 9696, 1421, 1317, 1169, 3732, 666, 581, 9674, 1210, 5624, 1210, 519, 28708, 2173, 738, 328, 6473, 11532, 602, 621, 568, 1454, 269, 476, 11011, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 3738, 568, 11609, 1210, 513, 6516, 20735, 568, 1114, 689, 3009, 2807, 3245, 3009, 20735, 547, 5996, 9876, 1079, 15768, 22263, 2981, 630, 674, 10499, 3738, 5690, 3259, 267, 12213, 4804, 5365, 269, 2201, 707, 1062, 3340, 23155, 17270, 15484, 7901, 12814, 3301, 6786, 538, 835, 6389, 547, 538, 1862, 589, 3728, 22263, 2981, 9696, 20193, 568, 5488, 585, 1279, 9696, 267, 9764, 28708, 267, 519, 1599, 1085, 27251, 4732, 793, 531, 269, 742, 339, 935, 341, 9876, 7518, 1080, 674, 10499, 1862, 1717, 267, 1082, 6620, 616, 8045, 538, 5933, 267, 609, 606, 13591, 1373, 256, 1323, 6697, 607, 609, 5276, 28708, 513, 6152, 610, 575, 30298, 26161, 12213, 4804, 585, 5365, 1141, 256, 2142, 5488, 982, 5276, 28708, 267, 1239, 2798, 3544, 519, 3403, 1239, 23652, 513, 256, 3738, 1107, 1412, 24029, 22207, 1412, 516, 12393, 1412, 610, 1412, 15132, 983, 1412, 5403, 22227, 630, 2311, 558, 3738, 7427, 619, 2322, 543, 269, 769, 835, 6389, 547, 8691, 538, 519, 30731, 4971, 32001, 9764, 28708, 1599, 524, 935, 341, 519, 1862, 8562, 983, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 1482, 267, 543, 1775, 11313, 29755, 899, 609, 30731, 28708, 883, 1079, 3887, 2211, 14249, 543, 2040, 2719, 519, 14249, 6383, 1862, 8081, 281, 8786, 4137, 476, 275, 281, 16503, 1674, 540, 9764, 28708, 11532, 519, 5311, 540, 9411, 1862, 932, 2335, 1564, 3812, 676, 519, 28708, 543, 5635, 621, 547, 519, 30731, 10378, 29683, 1210, 5531, 6620, 616, 8045, 538, 267, 256, 1677, 5996, 9876, 1079, 15768, 22263, 2981, 9696, 20193, 568, 5488, 585, 1279, 9696, 982, 5276, 28708, 1775, 256, 21277, 1027, 676, 519, 28708, 540, 519, 1079, 10321, 267, 1535, 543, 586, 593, 519, 29453, 1210, 575, 30298, 26161, 9764, 568, 256, 962, 630, 715, 2845, 476, 273, 715, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 3259, 519, 1862, 3690, 3836, 1543, 1141, 2139, 543, 1294, 2199, 2621, 543, 3091, 1107, 1412, 24029, 22207, 1412, 10915, 937, 1412, 1412, 516, 12393, 1862, 23556, 29283, 1239, 19554, 585, 513, 9764, 28708, 543, 5276, 28708, 1599, 5996, 946, 1114, 6620, 547, 1685, 9273, 269, 12433, 1763, 564, 281, 1267, 1239, 5311, 281, 28708, 9819, 267, 1317, 1169, 3732, 666, 5612, 256, 4856, 4046, 4637, 547, 713, 30731, 4971, 281, 14840, 519, 4971, 676, 10024, 621, 538, 5365, 14409, 609, 907, 23422, 23556, 29283, 1239, 19554, 16453, 28708, 741, 9764, 28708, 1599, 5996, 946, 6620, 269, 901, 547, 5635, 1930, 5288, 9764, 28708, 568, 6697, 547, 519, 3444, 2275, 528, 21975, 17223, 1210, 1535, 14585, 337, 267, 256, 9105, 7726, 18542, 476, 275, 1296, 267, 476, 277, 3275, 3516, 630, 1990, 3738, 815, 272, 22271, 268, 272, 5488, 585, 1279, 9696, 982, 5276, 540, 1862, 1280, 8030, 543, 3744, 568, 3160, 547, 610, 3677, 982, 519, 28708, 3259, 543, 9764, 28708, 9498, 711, 621, 269, 10610, 540, 519, 1079, 10321, 267, 1535, 543, 586, 267, 715, 3738, 607, 538, 256, 2986, 1804, 1239, 1606, 1115, 540, 3403, 9764, 28708, 9498, 267, 1535, 543, 586, 676, 10024, 621, 538, 5365, 14409, 609, 1599, 256, 13379, 539, 19105, 18185, 610, 575, 30298, 26161, 1535, 267, 586, 267, 715, 3738, 4238, 3119, 2035, 540, 5276, 1062, 3069, 1110, 25222, 268, 275, 28708, 269, 5681, 540, 1079, 9696, 524, 935, 341, 547, 12337, 9764, 28708, 267, 9062, 519, 2609, 896, 1142, 1866, 543, 1039, 519, 6152, 256, 3718, 10628, 1210, 5531, 1079, 1257, 4610, 1141, 596, 4283, 519, 1101, 10421, 476, 272, 269, 271, 269, 271, 476, 2537, 269, 279, 1862, 853, 1137, 267, 609, 606, 13591, 5365, 1373, 2813, 1063, 1142, 3942, 1422, 325, 7901, 2715, 476, 11011, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 568, 1862, 6399, 18185, 610, 13379, 539, 19105, 18185, 1210, 575, 30298, 26161, 13382, 5825, 616, 6462, 3732, 666, 581, 5488, 982, 5276, 28708, 5996, 256, 13017, 602, 14687, 547, 713, 30731, 4971, 32001, 543, 2040, 2719, 519, 14249, 9949, 3977, 3259, 568, 3160, 547, 610, 982, 256, 589, 6516, 689, 3009, 20735, 1582, 28706, 855, 1577, 803, 2491, 621, 513, 2370, 676, 519, 28708, 513, 602, 1862, 6052, 5295, 10414, 5384, 17726, 23422, 23556, 29283, 1239, 19554, 30424, 540, 5276, 1062, 3069, 11677, 1152, 1101, 269, 898, 547, 519, 5276, 28708, 267, 519, 1739, 5690, 568, 3411, 823, 799, 5337, 2803, 3606, 21325, 538, 519, 1560, 540, 15768, 6066, 256, 634, 3403, 12337, 9764, 28708, 666, 581, 5488, 982, 5276, 28708, 1599, 5996, 1114, 256, 9948, 546, 817, 5884, 6178, 1446, 14193, 29967, 518, 15595, 321, 3541, 546, 3420, 5884, 13096, 839, 24477, 2763, 513, 9168, 4528, 540, 1383, 269, 16258, 22263, 2981, 630, 674, 10499, 3738, 5690, 674, 5306, 2426, 1666, 328, 1068, 14193, 325, 3541, 7788, 1695, 1889, 1496, 256, 26275, 9764, 28708, 568, 835, 540, 519, 4611, 6152, 630, 667, 307, 10499, 3738, 23556, 1239, 1862, 1230, 23728, 538, 25037, 547, 16453, 28708, 14249, 267, 899, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 6578, 5048, 1281, 711, 7447, 2698, 23831, 585, 476, 3192, 279, 610, 476, 3192, 280, 865, 621, 3112, 7447, 519, 772, 2529, 269, 1909, 563, 763, 6578, 5048, 7074, 602, 834, 325, 3985, 23831, 543, 5313, 10211, 18715, 616, 513, 1804, 543, 3395, 1797, 540, 5870, 6859, 540, 5313, 3292, 1701, 2871, 5875, 3975, 12029, 14222, 616, 4397, 547, 2698, 1269, 4968, 5479, 676, 519, 1439, 540, 476, 3192, 280, 563, 763, 7245, 4566, 547, 15974, 2081, 547, 2744, 1732, 1852, 936, 922, 5491, 3292, 269, 898, 1767, 972, 1631, 568, 834, 7224, 9836, 7271, 538, 519, 2229, 585, 5781, 17265, 5313, 5491, 2534, 4799, 763, 8060, 519, 7245, 26770, 547, 15974, 786, 1331, 5993, 2781, 559, 902, 593, 12029, 543, 10211, 18715, 563, 289, 6563, 532, 676, 519, 27308, 547, 1489, 1554, 3562, 6377, 5313, 4238, 607, 1134, 607, 24228, 676, 519, 1055, 1532, 644, 1326, 5313, 8041, 910, 799, 786, 2698, 1269, 10463, 5479, 1985, 1032, 910, 616, 1641, 547, 513, 18322, 1308, 7963, 3970, 563, 8448, 10210, 902, 267, 676, 519, 2229, 17898, 29107, 10827, 2456, 267, 585, 1383, 267, 616, 711, 563, 4263, 519, 1439, 540, 476, 3192, 280, 267, 519, 2698, 2179, 540, 7963, 14222, 1641, 547, 519, 7963, 3970, 786, 581, 1269, 277, 3445, 269, 279, 5479, 269, 634, 1719, 593, 519, 5313, 7963, 568, 4397, 547, 581, 1269, 5392, 5479, 1985, 1032, 267, 610, 5176, 476, 1015, 829, 1298, 540, 519, 5518, 781, 1269, 4335, 5479, 6578, 269, 0, 3528, 12049, 20143, 700, 269, 29385, 267, 307, 516, 341, 528, 670, 269, 2274, 3164, 454, 5804, 519, 2053, 540, 519, 620, 17057, 1235, 2429, 519, 4070, 540, 519, 6752, 762, 8047, 267, 7998, 814, 1044, 13890, 676, 1259, 540, 922, 2645, 543, 8097, 10124, 269, 16024, 2103, 267, 1256, 952, 267, 723, 22157, 547, 3077, 519, 1184, 3114, 17748, 3079, 540, 693, 519, 7405, 543, 6901, 602, 22755, 519, 25127, 269, 901, 7274, 16716, 3114, 2645, 543, 6901, 883, 519, 32215, 540, 8978, 32252, 3512, 267, 1759, 593, 519, 8561, 593, 1685, 602, 1915, 3278, 1459, 10367, 593, 1114, 4610, 540, 2029, 543, 4702, 269, 634, 3119, 1641, 6927, 616, 281, 23396, 543, 3666, 267, 8856, 267, 519, 1646, 543, 7004, 540, 3937, 267, 519, 23425, 540, 2645, 267, 543, 519, 28043, 540, 10459, 3842, 7405, 7868, 3594, 616, 5258, 883, 476, 274, 26567, 6810, 281, 634, 1685, 540, 1325, 17057, 344, 630, 516, 1613, 532, 519, 5958, 543, 12835, 4919, 6169, 538, 1840, 547, 519, 2854, 24920, 543, 519, 7411, 540, 10063, 322, 2225, 540, 620, 23755, 6901, 1070, 3245, 670, 2297, 547, 519, 11906, 7169, 630, 29171, 1380, 532, 2101, 476, 1704, 628, 268, 543, 22733, 10601, 4555, 538, 1840, 547, 4130, 2093, 602, 15921, 592, 8271, 12675, 519, 8011, 538, 543, 811, 5078, 519, 3044, 540, 3114, 17634, 1070, 543, 634, 476, 866, 628, 543, 7216, 476, 736, 628, 2578, 3753, 630, 29171, 1380, 532, 519, 811, 543, 811, 1360, 1271, 1599, 540, 3056, 6316, 10591, 607, 7998, 8057, 883, 519, 476, 272, 560, 1804, 8397, 17953, 344, 4791, 9015, 1040, 6944, 1026, 12781, 2433, 681, 269, 717, 269, 654, 269, 18722, 267, 12672, 611, 8291, 645, 839, 7596, 324, 13305, 514, 1417, 267, 24381, 823, 595, 4592, 1633, 267, 3967, 30110, 1231, 7288, 267, 12049, 20143, 700, 269, 29385, 267, 7066, 341, 528, 670, 269, 2274, 3164, 267, 1530, 2096, 712, 670, 269, 8575, 23677, 641, 325, 267, 5261, 681, 269, 1715, 2006, 267, 6307, 11835, 715, 6614, 267, 18039, 631, 269, 11010, 10360, 267, 21142, 808, 269, 18842, 651, 267, 2051, 514, 589, 269, 21651, 267, 5261, 589, 269, 590, 1889, 26293, 267, 9253, 341, 2106, 2974, 1088, 2006, 563, 5649, 6732, 610, 8281, 29698, 543, 15331, 566, 538, 519, 3778, 540, 11061, 630, 291, 756, 1676, 4659, 5525, 538, 519, 3778, 540, 3163, 543, 5303, 264, 7300, 454, 16032, 7998, 4704, 2835, 454, 3383, 559, 11906, 2645, 1107, 3851, 14901, 6257, 936, 1079, 4627, 8047, 543, 4216, 3114, 10526, 2953, 547, 3851, 14901, 543, 2250, 269, 519, 1702, 543, 1505, 13859, 2429, 476, 736, 11271, 568, 8737, 267, 9836, 267, 19918, 27573, 267, 8242, 543, 2966, 547, 14441, 3114, 10155, 1608, 9200, 269, 972, 781, 4388, 693, 519, 5542, 543, 10332, 1145, 540, 10763, 3937, 689, 3037, 10386, 3842, 547, 519, 8989, 540, 2360, 563, 24375, 26038, 6280, 17099, 519, 10464, 1797, 269, 513, 1732, 8905, 547, 513, 1153, 2268, 910, 1205, 2458, 720, 5491, 609, 1100, 519, 5712, 269, 595, 4041, 303, 595, 4047, 300, 8780, 23802, 17780, 593, 2221, 779, 2463, 762, 595, 4041, 303, 981, 6701, 596, 4712, 547, 14133, 693, 519, 595, 4041, 303, 286, 2608, 6875, 519, 476, 272, 560, 1685, 2119, 547, 1265, 1018, 596, 5431, 543, 1018, 596, 991, 547, 581, 3222, 540, 265, 4383, 513, 11684, 4983, 16786, 3842, 1739, 938, 4674, 1652, 15415, 265, 2422, 11555, 288, 781, 16252, 547, 5423, 707, 1582, 585, 2953, 1382, 543, 1967, 19138, 1018, 596, 1590, 5431, 547, 979, 519, 6514, 265, 634, 1433, 781, 593, 2389, 13759, 1888, 6268, 12374, 22059, 540, 782, 4798, 693, 519, 8076, 595, 4041, 303, 6514, 267, 1927, 609, 11156, 540, 1641, 282, 2276, 540, 1888, 282, 3210, 3029, 282, 12307, 543, 853, 334, 24734, 5852, 282, 4982, 10329, 282, 918, 27282, 282, 26457, 19392, 282, 29149, 11061, 282, 21885, 11061, 265, 695, 4319, 323, 704, 2006, 550, 543, 16990, 5049, 27162, 1156, 17709, 15421, 265, 6206, 18862, 2333, 1880, 1983, 4941, 693, 519, 2119, 856, 265, 11280, 24200, 6318, 8223, 543, 5351, 6582, 1353, 12648, 1685, 11400, 265, 8073, 519, 14282, 2680, 547, 1449, 6377, 23616, 2827, 609, 476, 273, 2407, 27480, 1685, 10526, 265, 15873, 707, 1646, 609, 2347, 543, 6098, 3123, 540, 782, 3435, 265, 4434, 707, 1582, 22059, 609, 1449, 23824, 2035, 543, 9952, 5796, 3918, 288, 568, 519, 1767, 8783, 538, 595, 4041, 303, 26821, 267, 609, 519, 1292, 5458, 5399, 540, 595, 4041, 303, 10643, 543, 3301, 1982, 593, 1688, 563, 257, 27319, 2717, 2096, 619, 257, 522, 1457, 1579, 3164, 7698, 1329, 530, 18543, 654, 1170, 839, 577, 10762, 2401, 646, 1393, 1303, 19213, 601, 333, 267, 546, 269, 554, 269, 654, 17064, 560, 4752, 324, 267, 5884, 1775, 327, 516, 661, 580, 839, 577, 2378, 1084, 13276, 321, 560, 339, 520, 580, 606, 5884, 649, 577, 1088, 526, 523, 14193, 286, 552, 1066, 772, 332, 342, 601, 12888, 4148, 1380, 523, 606, 10139, 523, 269, 24729, 548, 8210, 22772, 684, 2102, 267, 530, 773, 2983, 321, 7596, 324, 3768, 25362, 1188, 523, 267, 5884, 521, 747, 530, 1695, 16781, 552, 1149, 661, 6113, 2041, 321, 839, 13276, 321, 560, 339, 520, 580, 2357, 560, 1046, 523, 3768, 1303, 1056, 2940, 20322, 572, 19804, 613, 9150, 530, 1221, 518, 2613, 577, 12340, 888, 302, 6113, 2435, 2645, 540, 2564, 11061, 267, 7274, 2947, 3091, 513, 2647, 5542, 540, 2553, 547, 10763, 1949, 538, 3621, 7998, 269, 901, 476, 2190, 7302, 1986, 7274, 11828, 519, 3652, 267, 556, 698, 757, 267, 4640, 267, 543, 23363, 540, 1028, 9285, 2564, 7998, 3937, 269, 519, 476, 272, 560, 476, 274, 11271, 12404, 519, 3693, 531, 10873, 538, 3621, 7998, 20682, 267, 1927, 609, 25819, 543, 909, 18141, 540, 15013, 267, 9073, 2200, 3375, 267, 543, 519, 12747, 3114, 1382, 563, 268, 3220, 269, 15608, 543, 1548, 1411, 9894, 333, 1405, 5700, 454, 268, 6820, 12713, 613, 12950, 7261, 3380, 538, 519, 8693, 3590, 454, 268, 1323, 11633, 17323, 540, 23081, 12578, 630, 31142, 1977, 5525, 281, 4317, 7070, 1299, 4521, 994, 268, 2274, 15590, 321, 1276, 2274, 321, 839, 18283, 601, 17057, 773, 3768, 21321, 7564, 15590, 2426, 630, 23389, 9990, 994, 21206, 2200, 585, 29698, 543, 15331, 566, 538, 519, 3778, 540, 11061, 630, 291, 756, 1676, 4659, 5525, 538, 519, 3778, 540, 3163, 543, 5303, 994, 9743, 745, 906, 543, 15331, 566, 538, 519, 3778, 540, 11061, 630, 291, 756, 1676, 4659, 5525, 538, 519, 3778, 540, 3163, 543, 5303, 264, 676, 12049, 20143, 700, 269, 29385, 267, 307, 516, 341, 528, 670, 269, 2274, 3164, 0, 11795, 2397, 1063, 6024, 7510, 26299, 3974, 2030, 543, 16801, 7510, 26299, 3974, 2030, 454, 1432, 616, 519, 3604, 1063, 26740, 543, 6024, 3457, 286, 901, 2376, 5631, 26564, 519, 10486, 543, 2483, 16676, 6681, 543, 16801, 1826, 7510, 26299, 3974, 2030, 454, 763, 1482, 2798, 616, 5631, 10630, 538, 519, 1739, 3344, 912, 13828, 6024, 543, 16801, 7510, 26299, 3974, 2030, 3803, 2472, 454, 272, 269, 634, 2324, 6240, 540, 519, 1079, 16491, 906, 568, 519, 1482, 269, 2353, 540, 873, 946, 1164, 27529, 25305, 3114, 6547, 269, 3414, 519, 8022, 540, 519, 19720, 267, 519, 3653, 15229, 11320, 4292, 18646, 616, 16271, 547, 7510, 26299, 3974, 3114, 6547, 563, 273, 269, 634, 5106, 540, 1079, 3457, 666, 5555, 1205, 4492, 267, 3327, 3109, 267, 5374, 5911, 267, 12318, 1043, 3154, 563, 763, 3604, 616, 5631, 10630, 538, 519, 1739, 3344, 912, 11328, 18283, 550, 3937, 281, 2991, 4393, 513, 16801, 540, 2326, 267, 621, 568, 2556, 547, 23249, 585, 513, 1974, 540, 942, 1354, 519, 2034, 1570, 2126, 568, 5340, 269, 2991, 519, 19720, 568, 22799, 547, 513, 1978, 2837, 267, 519, 1985, 16801, 540, 2326, 568, 9268, 563, 16676, 6681, 3937, 281, 898, 666, 960, 11179, 585, 476, 2190, 3108, 267, 6024, 8023, 593, 835, 2427, 267, 6024, 1793, 698, 11166, 593, 519, 824, 2427, 267, 1510, 23249, 9023, 538, 519, 1647, 563, 11328, 18283, 550, 3937, 281, 10671, 2231, 476, 274, 268, 275, 1004, 547, 2226, 519, 3339, 5106, 540, 519, 3937, 563, 16676, 6681, 3937, 281, 623, 9448, 1852, 1062, 267, 1164, 4110, 540, 12957, 267, 9494, 812, 12741, 563, 2690, 6024, 3937, 267, 6151, 2326, 991, 547, 581, 7745, 538, 4434, 267, 543, 1287, 3049, 998, 519, 17684, 3926, 563, 11328, 18283, 550, 3937, 281, 1530, 4705, 1793, 698, 11166, 9055, 11895, 547, 2327, 602, 519, 26809, 3327, 3109, 1281, 711, 8038, 1472, 543, 3542, 1393, 519, 2011, 563, 16676, 8462, 3937, 281, 12539, 3109, 568, 8850, 26809, 538, 513, 20177, 1604, 998, 513, 17684, 23740, 563, 10712, 5803, 8851, 1505, 912, 11328, 18283, 550, 3937, 281, 1614, 2000, 9707, 1164, 25774, 10936, 1100, 26072, 616, 1031, 547, 4894, 1507, 4396, 5536, 689, 519, 8673, 269, 2107, 946, 513, 13942, 4142, 755, 532, 3926, 950, 519, 2179, 540, 8673, 568, 1804, 563, 16676, 8462, 3937, 281, 898, 568, 9280, 609, 964, 5285, 584, 1436, 543, 3954, 527, 30826, 3937, 267, 543, 519, 1166, 826, 3154, 568, 29881, 543, 13381, 269, 2368, 540, 519, 3905, 8673, 602, 3112, 581, 16626, 568, 13381, 883, 519, 19720, 8022, 19460, 585, 519, 3483, 540, 5885, 519, 3002, 563, 13828, 3457, 723, 741, 1378, 5383, 269, 634, 1292, 3483, 568, 547, 1450, 596, 547, 723, 513, 4514, 1620, 540, 519, 1079, 3457, 998, 713, 2376, 267, 865, 607, 547, 3442, 519, 1318, 835, 2687, 547, 707, 1378, 2115, 543, 519, 3854, 6578, 8206, 2336, 32306, 513, 5048, 0, 1692, 547, 2328, 513, 13354, 1557, 1614, 2694, 281, 3384, 519, 1557, 1543, 12180, 519, 1543, 1603, 519, 1557, 2146, 7117, 261, 320, 5310, 596, 723, 1044, 8655, 513, 13354, 1557, 538, 1362, 267, 610, 991, 547, 2328, 513, 3102, 13354, 1867, 585, 960, 269, 5675, 513, 5635, 543, 4334, 1557, 281, 1018, 779, 621, 782, 827, 596, 786, 2760, 1174, 875, 547, 2328, 513, 13354, 1557, 1510, 10747, 713, 4081, 1957, 5265, 1142, 1826, 540, 1557, 814, 922, 1378, 3853, 543, 3584, 269, 6201, 543, 5796, 596, 1522, 5635, 519, 1079, 1483, 1235, 630, 528, 519, 1079, 2366, 14939, 1235, 264, 945, 1491, 519, 12406, 585, 6476, 9027, 919, 519, 13354, 2470, 540, 707, 5098, 607, 538, 1022, 12819, 1957, 267, 707, 5098, 3948, 786, 6655, 519, 575, 626, 540, 707, 4661, 267, 799, 8209, 543, 536, 538, 519, 1560, 540, 707, 1557, 952, 596, 1616, 707, 1957, 269, 634, 4334, 543, 6476, 1063, 519, 3504, 575, 872, 802, 543, 6535, 753, 2749, 2829, 585, 1383, 267, 519, 10652, 641, 517, 5886, 1014, 2112, 630, 32542, 25900, 349, 476, 29024, 25900, 264, 568, 513, 2112, 1063, 838, 21840, 543, 693, 2380, 2059, 609, 741, 16167, 269, 1280, 1383, 267, 513, 13354, 1557, 1210, 519, 3625, 1505, 593, 519, 18008, 543, 678, 11701, 26201, 1131, 2232, 519, 18008, 4838, 538, 519, 1101, 3368, 540, 519, 1557, 543, 519, 678, 11701 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 12100, 528, 6509, 267, 585, 4986, 892, 630, 2004, 279, 1916, 10527, 3791, 851, 540, 519, 1433, 6770, 1927, 513, 1297, 540, 3594, 593, 13513, 269, 2986, 891, 267, 519, 13074, 543, 519, 1034, 1271, 568, 606, 1557, 593, 519, 8129, 540, 1893, 269, 1403, 8738, 651, 3576, 519, 20726, 689, 19161, 5459, 267, 646, 1336, 519, 1646, 538, 5128, 892, 630, 2004, 279, 1916, 2108, 305, 15929, 856, 519, 9066, 609, 9382, 540, 1978, 15102, 538, 4119, 639, 527, 928, 267, 645, 1601, 340, 564, 267, 543, 23006, 267, 646, 6770, 519, 2898, 11407, 547, 513, 3932, 799, 1131, 581, 1572, 15112, 11244, 952, 17636, 941, 8738, 651, 779, 1843, 269, 1809, 519, 1843, 568, 21481, 267, 31658, 267, 1434, 786, 281, 711, 513, 1747, 538, 799, 547, 16173, 547, 1964, 267, 855, 513, 2783, 540, 5021, 9637, 892, 630, 2004, 279, 1916, 763, 7291, 729, 6192, 676, 1614, 10927, 1053, 693, 519, 2160, 540, 16506, 281, 661, 28609, 548, 24380, 17632, 267, 3807, 514, 23703, 1014, 267, 543, 1530, 534, 700, 1513, 517, 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 ]
[ 0, 5814, 11885, 607, 5286, 1477, 288, 815, 5286, 30784, 1052, 263, 1321, 1040, 31412, 263, 274, 267, 275, 3418, 2745, 10490, 3418, 2745, 18828, 21858, 10490, 2073, 476, 274, 2073, 7852, 815, 476, 271, 4297, 11434, 1948, 476, 28578, 12571, 495, 26166, 31176, 366, 1477, 2745, 18828, 21858, 10490, 2073, 476, 273, 2073, 7852, 815, 476, 272, 4297, 11434, 1948, 476, 27310, 12571, 495, 26166, 31176, 366, 1477, 2745, 18828, 15126, 5334, 5902, 10490, 2073, 476, 274, 2073, 7852, 815, 476, 272, 4297, 1948, 476, 21251, 419, 511, 487, 26166, 31176, 366, 1477, 2745, 18828, 18192, 20889, 10490, 2073, 476, 274, 4297, 4449, 1948, 476, 28578, 12571, 495, 26166, 31176, 366, 1477, 2745, 18828, 19544, 20889, 10490, 2073, 476, 273, 25011, 271, 8079, 23526, 1948, 476, 27310, 12571, 495, 26166, 31176, 366, 5897, 0, 5228, 19523, 1104, 588, 19734, 692, 3698, 1449, 18045, 6357, 2135, 16182, 2187, 825, 5595, 815, 476, 271, 454, 825, 17784, 815, 476, 271, 22562, 825, 5022, 815, 1592, 6357, 2135, 16182, 994, 825, 10288, 815, 15044, 263, 24393, 2020, 825, 12523, 815, 9598, 10797, 825, 585, 4484, 538, 5022, 912, 1038, 952, 4484, 538, 12523, 912, 2018, 12523, 314, 12072, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 12523, 314, 12072, 316, 815, 476, 272, 692, 825, 9103, 1023, 815, 12523, 269, 11161, 10797, 825, 952, 476, 273, 538, 9103, 1023, 912, 1038, 5595, 815, 476, 272, 454, 825, 952, 476, 274, 538, 9103, 1023, 912, 1038, 17784, 815, 476, 272, 692, 825, 2132, 5595, 267, 17784, 692, 20135, 5091, 537, 7632, 815, 476, 271, 454, 20135, 4671, 686, 1255, 815, 476, 271, 22562, 1721, 4737, 538, 588, 19734, 18667, 6050, 10031, 825, 29156, 267, 2468, 1255, 815, 1449, 18045, 21405, 14714, 8692, 31156, 825, 2698, 5091, 537, 7632, 6834, 29156, 454, 825, 2698, 4671, 686, 1255, 6834, 2468, 1255, 692, 2745, 6025, 4973, 5091, 537, 7632, 265, 20135, 4671, 686, 1255, 9239, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 533, 2096, 784, 334, 692, 258, 3553, 1575, 24563, 4276, 543, 1212, 320, 23176, 513, 4015, 1572, 5561, 454, 3240, 743, 1304, 815, 533, 2096, 784, 334, 8160, 784, 334, 5141, 1304, 2891, 332, 784, 617, 321, 2517, 29985, 10676, 281, 17734, 1704, 270, 5602, 3240, 27219, 815, 1250, 743, 1304, 14277, 3240, 323, 520, 15390, 31116, 3240, 3712, 815, 1250, 27219, 14277, 322, 2396, 619, 257, 6540, 258, 12133, 513, 2582, 3561, 883, 519, 24563, 454, 3240, 18743, 815, 2715, 834, 4067, 9899, 834, 11990, 2580, 834, 5417, 816, 9899, 834, 11947, 3118, 476, 4391, 257, 7684, 454, 343, 815, 1250, 3712, 27044, 318, 821, 30044, 18743, 2020, 2745, 3287, 27044, 539, 16182, 2020, 258, 12133, 2789, 6054, 883, 519, 6538, 454, 332, 2643, 626, 815, 1496, 454, 476, 2715, 834, 4067, 9899, 834, 288, 3240, 2580, 834, 5417, 816, 9899, 834, 7343, 548, 588, 476, 4792, 273, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 295, 20087, 2580, 834, 5417, 816, 9899, 834, 300, 20667, 476, 2641, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 28061, 2580, 834, 5417, 816, 9899, 834, 11749, 2917, 476, 24833, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 306, 22929, 2580, 834, 5417, 816, 9899, 834, 302, 4117, 1025, 341, 323, 476, 273, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 289, 564, 1399, 2580, 834, 5417, 816, 9899, 834, 16675, 23420, 476, 272, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 32178, 2580, 834, 5417, 816, 9899, 834, 306, 5652, 588, 476, 28664, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 306, 639, 534, 2580, 834, 5417, 816, 9899, 834, 3080, 1259, 476, 7176, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 309, 1157, 344, 2580, 834, 5417, 816, 9899, 834, 312, 3641, 12567, 476, 273, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 13051, 2580, 834, 5417, 816, 9899, 834, 303, 1046, 28818, 476, 4343, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 19365, 2580, 834, 5417, 816, 9899, 834, 23338, 588, 476, 4817, 275, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 2419, 3089, 2580, 834, 5417, 816, 9899, 834, 14611, 10003, 476, 7176, 280, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 309, 2723, 320, 2580, 834, 5417, 816, 9899, 834, 306, 728, 3118, 476, 14321, 274, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 7692, 2580, 834, 5417, 816, 9899, 22373, 302, 752, 717, 17311, 853, 14824, 1321, 628, 22971, 19312, 8679, 6540, 343, 815, 1250, 3712, 27044, 8548, 1415, 9852, 2643, 626, 2020, 28744, 3003, 4015, 454, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 2745, 3003, 4015, 5602, 1721, 1535, 538, 1250, 3712, 26098, 10031, 825, 1820, 3287, 2020, 258, 14142, 519, 4015, 454, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1410, 6984, 1843, 7329, 689, 938, 3406, 5602, 1721, 1535, 538, 1250, 3712, 26098, 20719, 9574, 2715, 834, 318, 573, 9899, 476, 271, 267, 834, 4067, 9899, 476, 272, 267, 834, 5417, 816, 9899, 272, 7684, 2187, 825, 1820, 3287, 2020, 258, 14142, 585, 513, 2582, 7127, 538, 4015, 454, 3240, 638, 2044, 815, 2715, 834, 4067, 9899, 834, 2419, 3089, 257, 7684, 454, 3240, 25269, 815, 1250, 3712, 26098, 30044, 638, 2044, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 14142, 532, 585, 519, 2012, 1412, 2419, 3089, 262, 5602, 1721, 1535, 538, 1250, 25269, 912, 825, 1820, 3287, 2020, 258, 22056, 513, 13214, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 2715, 834, 259, 25885, 9899, 834, 306, 257, 7684, 7684, 454, 3240, 25269, 815, 1250, 3712, 26098, 30044, 638, 2044, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 14142, 532, 585, 782, 2232, 13366, 3152, 982, 1412, 306, 262, 5602, 1721, 1535, 538, 1250, 25269, 912, 825, 1820, 3287, 2020, 258, 1372, 8541, 513, 3561, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 834, 300, 20667, 476, 2641, 257, 7684, 454, 3240, 3712, 19709, 8541, 318, 821, 30044, 638, 2044, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1372, 548, 1154, 1412, 300, 20667, 476, 2641, 262, 15419, 258, 26303, 513, 3561, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 834, 11749, 2917, 476, 24833, 257, 7684, 454, 2908, 11161, 815, 2715, 834, 259, 3553, 9899, 2715, 834, 5417, 816, 257, 2433, 834, 290, 23368, 476, 11277, 257, 7684, 7684, 454, 3240, 3712, 269, 26303, 318, 821, 30044, 638, 2044, 267, 1007, 11161, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1575, 323, 908, 519, 1871, 1412, 11749, 2917, 476, 24833, 262, 585, 1412, 290, 23368, 476, 11277, 262, 8442, 3097, 1721, 1535, 538, 1250, 3712, 26098, 263, 2567, 825, 454, 825, 1820, 3287, 2020, 258, 26303, 2789, 6054, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 2715, 834, 259, 516, 613, 343, 9899, 834, 317, 306, 257, 7684, 7684, 454, 2908, 11161, 815, 2715, 834, 259, 3553, 9899, 2715, 834, 4067, 9899, 834, 300, 4883, 773, 257, 7684, 7684, 454, 343, 815, 1250, 3712, 269, 26303, 8548, 1415, 30044, 638, 2044, 267, 1007, 11161, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1575, 323, 908, 782, 6054, 609, 2232, 3152, 982, 1412, 306, 262, 609, 519, 2012, 1412, 300, 4883, 773, 262, 5602, 2745, 3287, 6230, 617, 1881, 18045, 267, 834, 25269, 3701, 8242, 23528, 1721, 1535, 538, 1250, 3712, 26098, 10031, 825, 1820, 3287, 9239, 258, 547, 13214, 676, 1843, 7329, 267, 596, 1590, 1104, 519, 536, 5459, 269, 15953, 573, 454, 258, 5228, 536, 5459, 269, 15953, 573, 1104, 8629, 27306, 454, 258, 3240, 638, 2044, 815, 27835, 318, 573, 9166, 8629, 27306, 3488, 276, 324, 279, 321, 278, 7830, 6795, 324, 278, 320, 2568, 278, 31430, 280, 322, 21709, 279, 10807, 10926, 258, 5417, 3688, 547, 1592, 454, 3240, 638, 2044, 815, 2715, 257, 4067, 9899, 834, 7692, 257, 8679, 2908, 11161, 815, 2715, 834, 259, 335, 2313, 9899, 2715, 834, 5417, 816, 9899, 834, 28242, 273, 670, 3518, 1245, 339, 589, 557, 257, 31998, 454, 3240, 3712, 269, 26303, 318, 821, 30044, 638, 2044, 267, 1007, 11161, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 32061, 513, 1871, 547, 606, 5044, 1369, 513, 3561, 5602, 1721, 1535, 538, 1250, 3712, 26098, 10031, 825, 1820, 3287, 2020, 258, 1372, 8541, 606, 3003, 4015, 454, 258, 3240, 3712, 6155, 1886, 30800, 0, 5228, 1187, 551, 8962, 1104, 2569, 7531, 5976, 1930, 18011, 1485, 273, 17902, 10807, 607, 535, 335, 912, 825, 4640, 318, 7666, 728, 815, 1496, 14654, 921, 3287, 14714, 8692, 28361, 333, 262, 1040, 20889, 3488, 1412, 4297, 585, 1535, 538, 535, 335, 18667, 6050, 3890, 6540, 17092, 16800, 318, 311, 815, 476, 272, 454, 17092, 16800, 318, 312, 815, 476, 273, 454, 17092, 16800, 318, 313, 815, 476, 274, 692, 310, 2562, 815, 476, 277, 454, 299, 5308, 306, 815, 476, 271, 454, 291, 6938, 310, 815, 476, 274, 692, 258, 589, 815, 2473, 815, 476, 272, 815, 9412, 454, 258, 645, 815, 962, 815, 476, 273, 815, 7433, 454, 258, 595, 815, 2098, 815, 476, 274, 815, 2480, 19538, 454, 3698, 5173, 23962, 9272, 281, 24042, 314, 1598, 267, 1193, 8079, 9847, 703, 912, 825, 6474, 3403, 912, 1038, 2013, 18011, 288, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 667, 6938, 310, 1948, 8571, 454, 1038, 2013, 18011, 288, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 654, 2562, 476, 1948, 12736, 454, 1038, 2013, 18011, 288, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 700, 5308, 306, 1948, 13809, 692, 1038, 2013, 18011, 289, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 700, 5308, 306, 1948, 13809, 454, 1038, 2013, 18011, 289, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 667, 6938, 310, 1948, 8571, 454, 1038, 2013, 18011, 289, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 654, 2562, 476, 1948, 12736, 692, 1038, 2013, 18011, 290, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 654, 2562, 476, 1948, 12736, 454, 1038, 2013, 18011, 290, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 700, 5308, 306, 1948, 13809, 454, 1038, 2013, 18011, 290, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 667, 6938, 310, 1948, 8571, 692, 258, 3487, 476, 272, 2040, 8464, 454, 2745, 263, 516, 706, 576, 10857, 10033, 3105, 267, 1699, 281, 3105, 1341, 5173, 23962, 263, 9690, 1070, 4640, 318, 7666, 728, 267, 476, 271, 11723, 258, 2473, 815, 1284, 991, 547, 10690, 454, 258, 962, 815, 1284, 991, 547, 2721, 454, 258, 2098, 815, 1284, 991, 547, 3094, 454, 3698, 5173, 23962, 318, 4820, 318, 273, 9272, 281, 24042, 314, 1598, 267, 1193, 8079, 9847, 703, 912, 825, 6474, 3403, 912, 1038, 2013, 18011, 288, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 700, 5308, 306, 1948, 1284, 991, 547, 10690, 630, 313, 994, 1038, 2013, 18011, 288, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 667, 6938, 310, 1948, 1284, 991, 547, 2721, 630, 311, 994, 1038, 2013, 18011, 288, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 654, 2562, 476, 1948, 1284, 991, 547, 3094, 630, 312, 2020, 1038, 2013, 18011, 289, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 700, 5308, 306, 1948, 1284, 991, 547, 10690, 630, 311, 994, 1038, 2013, 18011, 289, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 667, 6938, 310, 1948, 1284, 991, 547, 2721, 630, 312, 994, 1038, 2013, 18011, 289, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 654, 2562, 1948, 1284, 991, 547, 3094, 630, 313, 2020, 1038, 2013, 18011, 290, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 700, 5308, 306, 1948, 1284, 991, 547, 10690, 630, 312, 994, 1038, 2013, 18011, 290, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 667, 6938, 310, 1948, 1284, 991, 547, 2721, 630, 313, 994, 1038, 2013, 18011, 290, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 654, 2562, 1948, 1284, 991, 547, 3094, 630, 311, 2020, 258, 3487, 476, 273, 2040, 8464, 454, 2745, 263, 516 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12441, 596, 2479, 1265, 513, 11640, 538, 16095, 543, 4898, 1018, 3662, 1500, 621, 286, 1403, 2451, 2150, 31189, 585, 5215, 540, 1296, 267, 621, 1131, 454, 10743, 1397, 741, 1702, 540, 18173, 14169, 11652, 1899, 15340, 256, 31493, 696, 513, 10036, 18173, 602, 568, 17866, 267, 4190, 454, 8245, 3634, 519, 26789, 21805, 543, 1374, 5326, 5321, 585, 14070, 5449, 10437, 563, 19138, 519, 1950, 267, 12166, 15022, 3512, 566, 540, 9099, 1148, 269, 13028, 6946, 267, 8076, 2098, 650, 6359, 6272, 1210, 2979, 543, 513, 454, 10743, 2263, 519, 1568, 540, 2605, 5866, 918, 1695, 5979, 779, 1582, 268, 1636, 20137, 543, 519, 4764, 4104, 2831, 538, 1200, 10367, 563, 5331, 952, 22645, 1223, 8038, 256, 5753, 3262, 741, 3860, 12209, 607, 789, 1374, 7874, 1957, 22645, 543, 2328, 827, 454, 1432, 1281, 621, 1611, 547, 581, 513, 1434, 3659, 286, 15858, 17052, 19806, 558, 609, 713, 2295, 11015, 563, 30696, 593, 11505, 676, 1603, 543, 13465, 8964, 267, 6158, 827, 11505, 1983, 267, 543, 2870, 1257, 3293, 1148, 2592, 705, 537, 454, 15703, 772, 2529, 269, 27504, 941, 4535, 538, 610, 5030, 538, 2845, 5321, 267, 1519, 14062, 12493, 269, 5269, 513, 18187, 320, 540, 835, 610, 741, 11876, 454, 18439, 21175, 543, 7556, 5389, 1287, 1711, 13556, 1957, 24463, 8970, 1075, 641, 5362, 563, 295, 584, 2001, 585, 7504, 12741, 256, 5269, 513, 15415, 547, 1397, 875, 5755, 267, 3282, 267, 2831, 267, 543, 1082, 824, 1648, 2959, 5512, 1004, 543, 642, 454, 10454, 8575, 652, 549, 1773, 904, 257, 676, 19626, 10127, 2617, 20391, 543, 32157, 7101, 12584, 5652, 568, 519, 6667, 585, 1053, 547, 1711, 741, 1378, 4605, 454, 10932, 543, 1711, 19297, 827, 31595, 779, 8906, 538, 2257, 543, 6323, 563, 8196, 1148, 547, 1451, 827, 519, 6406, 7126, 16527, 543, 519, 717, 2465, 781, 645, 754, 7991, 563, 24058, 1125, 513, 3460, 602, 16621, 1100, 2029, 824, 982, 835, 779, 1378, 3952, 269, 4841, 556, 21553, 2602, 519, 8574, 540, 3345, 454, 8620, 513, 476, 1321, 21758, 267, 476, 274, 291, 8608, 547, 4159, 1382, 1344, 827, 1272, 593, 835, 540, 3618, 781, 17407, 563, 10743, 2263, 4436, 1686, 689, 519, 5664, 12698, 547, 2413, 2053, 269, 5530, 4436, 28151, 267, 971, 607, 3026, 20415, 9774, 7322, 10011, 331, 454, 763, 12557, 540, 519, 9194, 540, 5017, 568, 6417, 676, 519, 2242, 538, 519, 1554, 779, 3259, 269, 25397, 513, 1808, 6177, 689, 922, 530, 328, 454, 2026, 606, 6679, 2534, 547, 519, 1153, 1032, 267, 1205, 547, 917, 707, 1053, 262, 2702, 547, 1246, 8846, 609, 713, 13513, 513, 454, 288, 3630, 5069, 12493, 781, 5192, 339, 903, 7921, 17372, 4991, 513, 2413, 1118, 1478, 563, 30395, 513, 30018, 717, 5424, 30103, 5600, 609, 595, 2001, 7637, 10378, 7844, 18903, 10378, 269, 15526, 666, 948, 30164, 2914, 603, 719, 513, 10051, 2336, 27650, 3446, 1053, 786, 2648, 2870, 891, 10477, 4070, 1957, 20909, 30103, 1004, 1310, 2542, 7648, 454, 10743, 1921, 609, 741, 15032, 1247, 18071, 11348, 538, 707, 4763, 2336, 8340, 856, 875, 14696, 5129, 513, 1909, 538, 8978, 21175, 16873, 269, 4841, 1118, 741, 1378, 1747, 3901, 609, 1277, 334, 0, 21809, 826, 540, 31001, 1530, 16223, 5471, 4867, 538, 519, 28912, 7467, 269, 910, 10323, 298, 295, 300, 4953, 267, 26131, 1014, 15831, 267, 6719, 609, 519, 2212, 540, 513, 17794, 612, 543, 513, 4807, 781, 1560, 543, 593, 1200, 2212, 513, 3141, 12210, 267, 519, 2212, 540, 17794, 568, 513, 3090, 540, 4222, 543, 1379, 547, 6861, 14763, 563, 289, 770, 281, 513, 17794, 612, 15831, 540, 519, 3141, 2429, 1034, 540, 9147, 12266, 1686, 267, 855, 2663, 1352, 729, 4957, 883, 519, 3032, 15831, 268, 645, 770, 564, 269, 2701, 849, 729, 4957, 547, 513, 15831, 540, 519, 7599, 676, 16380, 30939, 9147, 5527, 4724, 519, 1439, 540, 922, 10340, 563, 292, 5118, 324, 281, 1912, 4673, 517, 3620, 558, 1889, 2073, 887, 328, 2073, 23135, 340, 910, 2750, 6570, 632, 4406, 523, 857, 15086, 476, 1220, 278, 318, 1220, 279, 454, 300, 879, 910, 3117, 30872, 547, 581, 10723, 538, 3504, 12266, 2486, 267, 891, 535, 3894, 941, 26916, 585, 741, 2702, 547, 6146, 15315, 543, 2357, 2381, 267, 543, 941, 3976, 3006, 544, 17026, 1881, 1310, 2669, 269, 1358, 941, 15151, 5156, 547, 2099, 519, 15831, 645, 770, 593, 3047, 267, 543, 865, 454, 293, 656, 2880, 3068, 6196, 652, 19612, 5020, 20695, 6465, 826, 2986, 9147, 5527, 4534, 14514, 4534, 19092, 267, 1234, 793, 540, 14871, 330, 2378, 4534, 2961, 1386, 861, 31748, 648, 3574, 4534, 5494, 2642, 693, 590, 752, 330, 4673, 538, 519, 19772, 540, 18087, 268, 1653, 4534, 12266, 7467, 267, 595, 23879, 676, 795, 565, 2940, 0, 305, 908, 568, 2139, 950, 519, 3381, 814, 1044, 10519, 539, 563, 1607, 4183, 568, 711, 2139, 1318, 1631, 269, 7490, 2119, 1586, 2663, 563, 13775, 593, 3967, 476, 278, 267, 476, 1001, 273, 454, 2690, 811, 9623, 267, 1294, 5291, 2517, 4178, 269, 3518, 571, 3820, 11721, 797, 1772, 2199, 1426, 1732, 585, 519, 1604, 286, 1215, 798, 2242, 538, 4189, 2992, 3677, 2242, 538, 1686, 543, 9297, 286, 769, 713, 4853, 2085, 267, 1946, 568, 989, 13681, 5350, 1869, 971, 513, 3844, 851, 540, 865, 1082, 11615, 286, 634, 5253, 5525, 5358, 693, 519, 772, 3387, 571, 4659, 2591, 1053, 547, 3801, 547, 2626, 891, 2055, 543, 811, 1247, 2713, 538, 3131, 1872, 807, 547, 1353, 1426, 538, 7977, 269, 634, 22089, 568, 689, 519, 1585, 11925, 267, 607, 1134, 607, 15143, 547, 623, 12609, 267, 3525, 6511, 267, 543, 519, 3397, 761, 584, 1143, 334, 1412, 8867, 8738, 613, 9538, 901, 2110, 3381, 3947, 606, 7650, 540, 519, 5253, 5525, 5358, 269, 630, 21581, 676, 12832, 7637, 6022, 636, 2692, 267, 1936, 730, 676, 7905, 2098, 778, 776, 3767, 752, 264, 0, 288, 7991, 8061, 6838, 547, 519, 27264, 543, 6657, 540, 22966, 17155, 32522, 543, 4033, 10613, 540, 12465, 19024, 6363, 4193, 454, 5804, 281, 25414, 23520, 454, 14630, 281, 476, 1001, 279, 3967, 476, 1321, 267, 476, 1015, 281, 5400, 910, 24699, 271, 454, 2791, 4280, 1018, 616, 519, 10253, 262, 24795, 593, 519, 9102, 918, 822, 7590, 7288, 344, 781, 7470, 563, 763, 9102, 7470, 814, 912, 268, 519, 20337, 658, 1899, 6825, 630, 2431, 3562, 268, 3847, 264, 476, 271, 4113, 349, 5197, 4113, 607, 513, 2539, 5569, 282, 1287, 476, 5197, 4113, 349, 11740, 4113, 630, 3847, 3562, 28878, 264, 607, 606, 5580, 5569, 269, 634, 1318, 11804, 1439, 540, 519, 20337, 658, 1899, 814, 519, 6003, 834, 301, 257, 630, 333, 792, 519, 476, 271, 4113, 1923, 476, 11740, 4113, 1665, 1070, 519, 2451, 11804, 1439, 814, 519, 6003, 834, 306, 257, 630, 333, 792, 519, 476, 5197, 4113, 1665, 11850, 268, 519, 5580, 15393, 814, 519, 834, 14149, 257, 6003, 267, 519, 2539, 15393, 814, 519, 834, 4916, 257, 6003, 3248, 268, 519, 9018, 5858, 814, 1175, 1079, 6825, 9095, 338, 281, 476, 271, 4113, 349, 3445, 4113, 910, 689, 1142, 1439, 540, 519, 20337, 658, 1899, 547, 2901, 15393, 630, 328, 4318, 689, 519, 834, 306, 257, 547, 834, 14149, 2580, 3957, 519, 834, 301, 677, 1156, 3616, 1588, 2580, 543, 689, 519, 834, 301, 257, 547, 834, 4916, 2580, 3957, 519, 834, 306, 4822, 3616, 1588, 257, 1916, 9827, 972, 568, 513, 17250, 6029, 519, 1697, 6165, 540, 519, 7470, 267, 594, 9364, 1732, 11571, 621, 543, 2022, 621, 1934, 563, 28775, 602, 2337, 269, 0, 5522, 2880, 645, 4711, 281, 16505, 519, 18888, 454, 4692, 21808, 1491, 1753, 476, 4649, 2929, 5068, 10918, 11435, 1142, 3018, 267, 609, 513, 1804, 6871, 10678, 909, 538, 519, 25087, 269, 4495, 538, 519, 3618, 267, 621, 666, 1491, 476, 272, 267, 1822, 1296, 585, 513, 5068, 9126, 547, 15059, 1247, 32749, 5739, 543, 6757, 6464, 2620, 883, 519, 3037, 269, 3807, 538, 5450, 549, 26551, 4805, 267, 5111, 476, 2190, 267, 1822, 19726, 540, 5068, 11435, 1439, 909, 609, 713, 1482, 12556, 2443, 602, 779, 827, 476, 1556, 13532, 540, 5068, 11435, 829, 1268, 563, 5522, 2880, 11435, 616, 1500, 689, 2901, 1164, 29213, 4874, 26120, 630, 295, 7894, 292, 1948, 273, 264, 610, 1970, 29213, 4874, 26120, 630, 299, 7894, 292, 1948, 275, 1040, 700, 7894, 292, 568, 513, 5394, 267, 17953, 344, 5068, 602, 568, 3335, 1031, 676, 10685, 8637, 267, 1247, 670, 7894, 292, 568, 513, 6094, 17426, 5068, 602, 596, 666, 1419, 1265, 693, 17365, 8637, 269, 2755, 513, 2442, 3903, 1813, 547, 741, 13418, 543, 4222, 267, 5068, 11435, 24571, 909, 7088, 28368, 267, 3411, 11229, 7320, 267, 543, 616, 2348, 513, 5458, 1764, 538, 593, 938, 4541, 563, 2791, 949, 723, 4862, 602, 5068, 11435, 616, 6691, 762, 543, 602, 789, 666, 581, 1500, 883, 1007, 11435, 267, 5251, 16025, 267, 5068, 29421, 267, 17552, 5371, 7515, 543, 3765, 3250, 10389, 25510, 269, 769, 1249, 267, 972, 616, 1225, 2125, 728, 3292, 602, 2709, 713, 4781, 267, 607, 1134, 607, 2199, 17365, 8637, 602, 3398, 713, 1826, 540, 1570, 269, 1717, 267, 713, 568, 811, 899, 8380, 513, 17020, 5025, 573, 593, 519, 1966, 269, 10435, 1945, 968, 516, 7094, 762, 892, 1058, 581, 519, 1360, 2063, 4781, 267, 2523, 950, 621, 2501, 547, 5068, 269, 898, 779, 1100, 4898, 2829, 899, 2836, 604, 1640, 11844, 267, 1715, 3840, 267, 543, 9628, 723, 3323, 547, 7333, 5068, 11435, 782, 1927, 1107, 606, 11036, 602, 1058, 581, 5189, 538, 4516, 2336, 3383, 267, 1018, 666, 596, 798, 286, 11822, 269, 20780, 513, 23431, 12308, 9126, 269, 1358, 2461, 20522, 267, 10357, 7888, 267, 543, 811, 14463, 982, 741, 5068, 13413, 269, 9578, 596, 666, 11547, 873, 543, 19074, 873, 936, 543, 936, 1586, 1510, 2152, 269, 1403, 596, 1902, 607, 2370, 607, 1269, 276, 883, 513, 2362, 1439, 9126, 267, 519, 2132, 786, 1419, 581, 1296, 540, 946, 269, 3281, 716, 762, 11435, 616, 849, 513, 1390, 4781, 282, 4444, 513, 1906, 543, 12235, 873, 538, 707, 1286, 267, 1625, 572, 267, 610, 15547, 9126, 267, 602, 1259, 596, 2461, 2760, 1510, 873, 269, 2060, 519, 14812, 4947, 909, 267, 789, 1118, 15813, 6006, 532, 8631, 619, 2336, 12648, 519, 8414, 12254, 7420, 543, 2119, 547, 3479, 606, 3003, 3923, 1510, 5068, 11435, 269, 570, 11548, 721, 707, 3356, 543, 649, 3580, 2709, 1022, 4388, 547, 18663, 596, 547, 1832, 2469, 256, 630, 30357, 7711, 327, 7026, 560, 753, 994, 20124, 11905, 281, 763, 26851, 267, 661, 1206, 344, 0, 303, 23393, 1206, 538, 519, 20845, 281, 14088, 454, 1556, 4924, 476, 1001, 279, 454, 5472, 1695, 31471, 26663, 2366, 513, 1390, 1297, 540, 3190, 12310, 547, 3391, 1004, 547, 519, 1318, 2619, 543, 4001, 873, 827, 519, 835, 543, 1152, 2696, 269, 769, 519, 20845, 267, 476, 1839, 28556, 941, 5018, 10452, 519, 1034, 1271, 27139, 11775, 538, 741, 1272, 269, 14088, 568, 711, 1152, 519, 1101, 22445, 540, 5771, 855, 646, 568, 849, 519, 1101, 1480, 2813, 676, 16589, 543, 646, 568, 2808, 547, 581, 519, 4651, 540, 8103, 269, 16589, 1767, 547, 1010, 23109, 538, 519, 20845, 267, 968, 29012, 267, 594, 786, 1118, 2390, 519, 3618, 513, 20422, 6392, 2437, 1496, 2704, 5174, 26698, 23022, 267, 476, 1789, 14073, 3849, 600, 729, 2813, 689, 10036, 607, 16589, 3081, 267, 968, 4517, 1284, 1705, 6157, 1711, 812, 856, 540, 10036, 689, 606, 12012, 3109, 16095, 1848, 1496, 2704, 6953, 6359, 337, 267, 476, 2918, 4940, 634, 21024, 17124, 1496, 303, 289, 308, 295, 316, 5018, 602, 14088, 729, 2813, 538, 519, 3239, 540, 16589, 267, 968, 5472, 1695, 2813, 14088, 538, 3571, 3239, 2223, 1496, 289, 4157, 327, 926, 267, 476, 26727, 3910, 799, 1797, 602, 14088, 729, 2016, 930, 540, 16589, 779, 10305, 899, 2648, 543, 19807, 563, 5472, 1695, 1287, 6026, 14088, 519, 4408, 540, 3388, 267, 799, 941, 711, 1634, 676, 519, 23109, 267, 543, 16589, 4280, 519, 23109, 547, 605, 1598, 622, 1354, 14088, 269, 2353, 540, 873, 23491, 539, 4849, 585, 594, 1076, 525, 630, 25823, 534, 1070, 945, 729, 818, 5766, 656, 269, 901, 818, 5766, 766, 5129, 513, 1713, 1909, 607, 646, 1185, 1831, 519, 6574, 10546, 547, 16589, 543, 547, 30768, 563, 296, 1076, 525, 13991, 1010, 3646, 547, 1832, 1004, 2476, 689, 16589, 269, 1879, 16589, 5795, 14088, 27032, 547, 2661, 543, 2972, 609, 1010, 19898, 18832, 910, 945, 729, 2813, 689 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1007, 9035, 538, 2542, 267, 1565, 267, 543, 3395, 269, 8414, 3695, 2439, 9616, 281, 2368, 9921, 4798, 616, 4843, 538, 891, 9089, 282, 4061, 267, 15366, 5583, 568, 5227, 3823, 3261, 520, 8864, 1759, 593, 1367, 2875, 15657, 2157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 27996, 2441, 27255, 568, 606, 1977, 957, 816, 543, 22256, 269, 2701, 568, 1655, 1634, 585, 5107, 971, 607, 8349, 710, 654, 820, 7615, 538, 29853, 267, 23885, 13852, 538, 4210, 574, 325, 534, 267, 670, 20087, 18301, 2917, 538, 634, 645, 9734, 590, 8651, 267, 17555, 17664, 538, 634, 17828, 24143, 267, 674, 542, 320, 538, 22947, 17839, 267, 25014, 3821, 538, 1215, 547, 7605, 513, 7813, 267, 4432, 1047, 8092, 787, 538, 634, 32202, 3293, 267, 543, 15776, 12340, 853, 549, 10964, 538, 634, 8865, 585, 2441, 269, 4173, 8613, 17099, 1331, 623, 13873, 11856, 267, 654, 17673, 4975, 267, 14520, 26440, 4181, 267, 634, 2983, 6511, 16026, 8058, 267, 543, 8729, 269, 1280, 1200, 2773, 538, 519, 476, 1220, 271, 4670, 29853, 267, 1352, 4607, 519, 24211, 309, 28414, 13815, 585, 21058, 16505, 10843, 13437, 269, 18004, 607, 661, 27996, 13191, 2441, 27255, 593, 4864, 476, 866, 267, 476, 2735, 273, 538, 22208, 267, 6115, 267, 7330, 547, 918, 4331, 543, 24697, 2441, 27255, 267, 661, 27996, 8057, 909, 538, 28180, 11968, 13353, 267, 4993, 269, 2701, 12851, 547, 21785, 267, 20636, 267, 2296, 267, 4436, 267, 13677, 267, 21730, 267, 543, 9721, 16350, 269, 2701, 814, 606, 4587, 3368, 1532, 549, 750, 3957, 19162, 543, 1079, 7820, 18618, 14552, 3957, 667, 2033, 543, 15952, 334, 269, 2701, 779, 6982, 6048, 543, 729, 1753, 1153, 539, 269, 2701, 814, 1044, 9310, 547, 23045, 2494, 612, 2094, 476, 1001, 276, 269, 570, 690, 9220, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 645, 3224, 25612, 590, 8651, 262, 20096, 11470, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3864, 1315, 2296, 267, 9721, 267, 13677, 267, 21730, 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, 18279, 7917, 661, 269, 10557, 267, 12789, 1421, 1085, 542, 540, 513, 588, 528, 1221, 9098, 1920, 267, 533, 3166, 519, 16064, 540, 1010, 17514, 1222, 267, 22898, 9098, 267, 31325, 856, 693, 519, 5318, 1163, 534, 572, 540, 1216, 1354, 1864, 269, 3571, 2247, 729, 30223, 267, 711, 1152, 676, 519, 29287, 13287, 540, 519, 10546, 18239, 855, 849, 676, 22027, 827, 519, 32660, 540, 741, 2014, 780, 14367, 2034, 2987, 268, 12252, 267, 31924, 3627, 13177, 8381, 267, 14059, 15891, 13124, 269, 834, 290, 2194, 664, 267, 594, 1294, 873, 593, 519, 16880, 2437, 646, 1767, 23900, 267, 15738, 547, 513, 12440, 540, 9635, 538, 519, 3845, 780, 299, 2465, 21330, 1989, 574, 569, 269, 1261, 6785, 1018, 789, 5185, 910, 606, 11566, 3196, 540, 4401, 743, 611, 28749, 267, 812, 2740, 676, 1134, 2389, 11712, 1212, 9749, 945, 4371, 782, 519, 5383, 540, 2338, 267, 3595, 12741, 267, 543, 3761, 3515, 269, 1656, 2943, 267, 5103, 713, 1702, 267, 646, 1223, 711, 21199, 1055, 513, 2631, 540, 2062, 321, 5317, 267, 4535, 689, 606, 4656, 540, 519, 6526, 1006, 540, 1480, 20089, 543, 519, 15265, 1942, 540, 2112, 780, 2026, 519, 1079, 2367, 11542, 2427, 676, 2427, 267, 8384, 519, 1935, 540, 519, 5742, 18239, 267, 8381, 12038, 1586, 269, 834, 306, 597, 267, 949, 594, 2307, 596, 1945, 12482, 299, 2465, 5828, 547, 3068, 1864, 267, 1010, 4064, 4904, 609, 513, 7848, 540, 7279, 543, 18354, 269, 834, 8170, 1576, 267, 3627, 2437, 646, 14452, 269, 834, 1432, 568, 621, 602, 22179, 865, 8185, 593, 707, 2247, 12482, 24841, 11688, 18469, 267, 10478, 585, 1913, 602, 1522, 6655, 1010, 4555, 1510, 20729, 532, 519, 24187, 1369, 269, 2311, 2063, 267, 646, 1336, 873, 269, 834, 296, 3112, 948, 855, 4898, 267, 27205, 267, 952, 938, 6560, 568, 4502, 519, 3902, 649, 2628, 269, 1284, 4339, 12703, 569, 267, 3020, 2614, 267, 855, 616, 649, 8165, 585, 1945, 5963, 17709, 540, 938, 15093, 286, 2107, 616, 649, 8806, 1642, 24851, 6000, 883, 18468, 602, 938, 1259, 540, 1272, 568, 896, 3463, 950, 267, 5310, 267, 621, 568, 3274, 4657, 3564, 6284, 12482, 299, 2465, 6743, 1279, 543, 2182, 693, 1010, 1762, 9114, 23133, 267, 7487, 538, 1010, 4064, 1312, 4250, 543, 10100, 267, 10539, 543, 8990, 269, 1280, 513, 4090, 267, 646, 2808, 1065, 549, 2286, 1864, 585, 6340, 3976, 267, 15819, 519, 1360, 5748, 540, 741, 3838, 4978, 282, 3079, 267, 2705, 267, 646, 8359, 547, 2626, 25473, 780, 257, 11990, 267, 1250, 5067, 267, 972, 723, 1044, 2053, 950, 1256, 594, 723, 20402, 2436, 938, 2619, 568, 1175, 269, 1809, 1287, 594, 3314, 519, 3741, 585, 799, 649, 1796, 267, 519, 2418, 602, 723, 11461, 721, 998, 5481, 540, 17636, 543, 14488, 269, 8786, 267, 519, 1158, 1472, 721, 2242, 267, 3006, 24847, 543, 9048, 22106, 2406, 267, 855, 1281, 602, 1611, 649, 10205, 1346, 1919, 602, 1118, 721, 945, 649, 616, 286, 2334, 2285, 2495, 547, 938, 2729, 543, 3483, 547, 938, 9620, 12482, 24841, 695, 809, 1010, 2212, 7444, 267, 1620, 546, 27681, 538, 1010, 4064, 269, 834, 5591, 267, 27205, 267, 594, 15475, 711, 3010, 3719, 1869, 267, 519, 2243, 19388, 1229, 1063, 873, 267, 899, 606, 7938, 4372, 16823, 693, 513, 21649, 269, 12984, 741, 18326, 20582, 286, 21518, 789, 1318, 547, 1491, 909, 7916, 1996, 741, 8284, 2197, 5443, 538, 8878, 540, 513, 12955, 5326, 2496, 4517, 607, 519, 6370, 986, 3022, 1472, 873, 267, 607, 666, 12061, 27750, 3458, 3139, 998, 519, 2011, 543, 8673, 3915, 15735, 689, 695, 13593, 26083, 338, 267, 1346, 2055, 1131, 20807, 1142, 812, 20829, 6928, 267, 6117, 930, 547, 21817, 543, 1866, 547, 6411, 540, 5869, 1143, 28703, 540, 18418, 566, 780, 2690, 1498, 519, 20752, 13108, 949, 723, 26218, 519, 2200, 543, 4222, 540, 922, 535, 4141, 267, 621, 22234, 1945, 2484, 3152, 281, 519, 967, 558, 3386, 6891, 540, 2367, 8348, 547, 2482, 1524, 741, 2729, 585, 1018, 789, 5156, 538, 269, 898, 729, 513, 9371, 602, 1131, 22036, 1279, 1310, 519, 3803, 15833, 678, 836, 856, 936, 519, 6329, 267, 16079, 532, 998, 1686, 607, 513, 15266, 547, 519, 1379, 540, 24235, 543, 519, 30840, 540, 519, 1480, 9997, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1705, 519, 20752, 13108, 5635, 547, 519, 5742, 13108, 538, 2474, 540, 2200, 543, 4222, 888, 763, 20752, 13108, 729, 1454, 4130, 543, 21260, 982, 519, 5742, 13108, 538, 2474, 540, 2200, 543, 4222, 269, 634, 5742, 13108, 1185, 513, 3677, 1297, 540, 10617, 4721, 267, 811, 4359, 2029, 267, 543, 1732, 2389, 11712, 25501, 269, 634, 20752, 13108, 1185, 547, 7048, 593, 1507, 267, 1561, 14876, 9635, 267, 1082, 540, 799, 941, 10736, 21471, 8043, 269, 1358, 849, 1185, 3908, 7616, 543, 17388, 547, 2226, 7727, 543, 3937, 269, 6736, 891, 2591, 267, 519, 20752, 13108, 729, 2111, 547, 4163, 856, 1896, 3811, 4238, 267, 971, 607, 519, 2038, 3625, 1228, 540, 5742, 16788, 543, 519, 29855, 540, 519, 2475, 306, 670, 748, 520, 4577, 676, 513, 20752, 26747, 269, 1717, 267, 2949, 267, 519, 5742, 13108, 781, 9120, 2200, 543, 4222, 5129, 513, 1713, 1909, 538, 519, 10700, 6364, 540, 519, 6406, 2782, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 3848, 1422, 265, 315, 265, 21328, 20676, 532, 538, 23270, 338, 315, 265, 315, 15846, 589, 2622, 540, 19693, 7827, 454, 5785, 28598, 5331, 19480, 883, 513, 14297, 4104, 4904, 609, 26009, 4054, 267, 669, 597, 4771, 5017, 267, 543, 17875, 1782, 7786, 269, 901, 4104, 568, 899, 513, 5458, 2749, 1141, 1169, 2713, 13442, 1107, 689, 519, 10545, 17079, 547, 519, 4102, 3529, 1107, 4249, 513, 1909, 538, 5329, 519, 834, 322, 640, 257, 9800, 543, 14762, 269, 1215, 1281, 713, 4755, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 1648, 15203, 1369, 8134, 2439, 2162, 2878, 1432, 568, 606, 23270, 15140, 2304, 5117, 568, 899, 513, 2462, 8378, 1141, 2371, 267, 2831, 267, 543, 1256, 6263, 267, 15865, 7068, 1572, 14471, 2661, 1927, 269, 1452, 7264, 2170, 609, 835, 1776, 543, 2671, 2200, 971, 607, 1216, 267, 7943, 267, 543, 3037, 269, 8625, 267, 789, 1711, 513, 1950, 3060, 602, 8952, 3388, 7059, 543, 4881, 12347, 780, 4131, 781, 946, 938, 4104, 1383, 1586, 269, 6129, 2775, 6411, 607, 519, 3119, 2707, 540, 1648, 585, 519, 4104, 269, 12518, 10110, 7943, 543, 6460, 621, 883, 1426, 998, 15591, 269, 12292, 1287, 3548, 1346, 2371, 630, 528, 824, 2831, 264, 543, 1205, 519, 1648, 789, 991, 547, 7639, 269, 1809, 7227, 267, 972, 781, 811, 256, 2991, 2831, 5305, 3653, 610, 950, 789, 1780, 2476, 267, 10920, 1842, 619, 2736, 1524, 891, 5214, 2326, 267, 13059, 1898, 5567, 1394, 547, 519, 3037, 269, 901, 4783, 5170, 267, 3850, 1272, 547, 21707, 2429, 519, 5117, 780, 2162, 2878, 763, 10020, 540, 1160, 3027, 619, 267, 3117, 28366, 267, 543, 1546, 1260, 1842, 619, 4373, 1103, 1022, 2016, 5117, 267, 2713, 1919, 666, 581, 9286, 883, 1614, 6688, 1759, 593, 875, 789, 3489, 1648, 1384, 272, 269, 2608, 303, 1238, 6203, 17041, 1452, 616, 2356, 3039, 2371, 602, 3132, 741, 1378, 1426, 1210, 7943, 267, 3327, 8166, 267, 543, 1216, 269, 1284, 1289, 713, 1184, 2608, 31688, 657, 11853, 30818, 6056, 827, 782, 519, 3039, 2044, 4478, 721, 1765, 339, 4181, 267, 6371, 267, 5810, 267, 3092, 269, 1358, 2811, 782, 11112, 6721, 1426, 543, 16089, 5135, 607, 513, 676, 28237, 269, 8729, 267, 2371, 2336, 273, 269, 2608, 8256, 28366, 17041, 1452, 616, 519, 2030, 3887, 11596, 630, 615, 321, 643, 2803, 1070, 5779, 3887, 11596, 630, 322, 7568, 643, 2803, 1070, 543, 1346, 945, 8532, 1312, 630, 558, 16622, 2803, 1040, 1280, 3236, 267, 17544, 544, 4875, 593, 3762, 543, 5388, 282, 17761, 802, 6968, 23224, 282, 1247, 3425, 2972, 4189, 1585, 3536, 8151, 689, 5613, 547, 2848, 752, 563, 274, 269, 2608, 5719, 1260, 1842, 619, 17041, 29318, 543, 13271, 4866, 547, 713, 7121, 269, 4256, 2816, 568, 547, 2736, 1524, 4666, 7103, 543, 22837, 267, 7432, 873, 883, 12863, 6878, 602, 556, 10938, 519, 3037, 543, 616, 12842, 676, 12696, 2899, 811, 269, 3026, 520, 267, 1318, 2496, 3086, 1577, 781, 1589, 1394, 547, 938, 4104, 269, 2052, 596, 2697, 930, 1806, 540, 12696, 267, 6800, 267, 543, 10920, 1842, 619, 1369, 621, 2496, 2162, 2878, 6781, 8438, 11790, 281, 6348, 6441, 1516, 855, 12830, 24812, 4373, 4407, 649, 1419, 1445, 593, 519, 2713, 3334, 540, 606, 5117, 267, 1875, 2000, 1516, 2188, 1404, 2629, 5107, 1932, 256, 19612, 607, 705, 8438, 2188, 267, 789, 1331, 2609, 899, 2837, 267, 11811, 267, 2842, 267, 543, 7943, 269, 5994, 952, 938, 4104, 10393, 2968, 5393, 4411, 610, 12015, 856, 4625, 1813, 547, 3668, 540, 4764, 269, 3509, 11317, 1131, 6560, 547, 7639, 2439, 6781, 8438, 2188, 849, 3310, 519, 3892, 543, 2623, 540, 2713, 7919, 269, 1280, 1383, 267, 1978, 2371, 4782, 12094, 936, 1463, 7943, 267, 865, 789, 1332, 2620, 1369, 7733, 2864, 982, 1930, 4610, 269, 6684 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 628, 1023, 454, 12201, 513, 1713, 2333, 538, 2634, 2450, 689, 670, 269, 3110, 18442, 454, 1080, 2634, 2450, 568, 711, 899, 513, 32315, 345, 2465, 267, 543, 711, 899, 513, 2413, 1480, 267, 865, 649, 454, 3104, 922, 5042, 569, 1114, 689, 1312, 267, 855, 24085, 616, 1869, 3843, 547, 454, 29664, 856, 530, 339, 325, 547, 798, 609, 602, 1344, 454, 527, 3788, 15458, 2436, 519, 5042, 2242, 3769, 1893, 610, 711, 454, 11004, 568, 513, 1942, 547, 513, 3677, 2634, 267, 607, 670, 269, 16245, 639, 814, 547, 15558, 519, 1648, 602, 4422, 454, 339, 578, 1841, 5885, 519, 2634, 454, 295, 269, 16245, 639, 5526, 547, 581, 7610, 1746, 543, 29227, 782, 519, 12137, 1127, 602, 519, 824, 454, 2102, 5028, 689, 519, 5982, 1974, 13026, 454, 1607, 2249, 3935, 3278, 1007, 5054, 454, 24874, 12320, 2967, 717, 5282, 267, 25157, 454, 2750, 322, 822, 730, 676, 11066, 543, 6307, 2274, 820, 344, 454, 294, 5282, 11912, 883, 606, 857, 0, 763, 2229, 786, 6338, 513, 16005, 2132, 10325, 630, 11403, 306, 264, 538, 4789, 267, 1641, 547, 513, 15360, 2663, 713, 1032, 563, 306, 7739, 2818, 5901, 6628, 570, 573, 344, 267, 22411, 547, 13363, 22798, 4789, 630, 9573, 3918, 264, 543, 519, 13149, 11094, 5980, 723, 3366, 513, 5859, 547, 6338, 667, 11965, 538, 519, 5177, 269, 4256, 1382, 4951, 602, 621, 1223, 4688, 5646, 15078, 6634, 540, 6550, 513, 1032, 563, 25387, 5177, 6800, 979, 998, 606, 6059, 476, 1724, 5479, 5068, 10425, 14569, 513, 1032, 267, 855, 811, 982, 1614, 5479, 616, 1651, 10719, 730, 267, 2366, 547, 25087, 610, 2451, 547, 3542, 1393, 938, 10754, 267, 24781, 543, 7286, 1604, 563, 1103, 513, 3493, 21627, 4676, 1495, 30868, 630, 11403, 306, 264, 596, 4444, 519, 9115, 540, 513, 11480, 267, 855, 1152, 10210, 519, 11480, 910, 2147, 547, 5144, 11480, 4015, 610, 519, 2025, 7054, 333, 5174, 745, 11480, 10325, 269, 634, 1507, 16005, 6976, 593, 1283, 540, 519, 4235, 630, 296, 337, 333, 5174, 745, 14569, 1185, 513, 476, 1789, 335, 16005, 264, 568, 4628, 1201, 24962, 950, 519, 8900, 11480, 568, 8120, 563, 9928, 582, 1633, 9307, 922, 1544, 585, 513, 667, 11965, 538, 5181, 543, 1896, 2706, 5658, 1115, 723, 1767, 789, 786, 12681, 519, 10325, 563, 9573, 3918, 814, 5859, 539, 585, 519, 4367, 540, 513, 667, 11965, 585, 476, 1015, 1296, 269, 4256, 16445, 10872, 8689, 267, 6341, 13183, 320, 670, 8973, 267, 1767, 912, 22154, 568, 513, 13085, 543, 1713, 3375, 676, 7812, 717, 913, 269, 594, 993, 4278, 2683, 602, 649, 786, 6368, 1294, 519, 1082, 2640, 513, 16005, 1062, 786, 3142, 547, 4789, 267, 711, 2547, 519, 9000, 540, 30299, 10425, 11149, 538, 938, 4190, 24781, 563, 18658, 779, 1713, 568, 602, 12696, 786, 1631, 2628, 519, 2407, 3790, 540, 741, 11183, 267, 4227, 519, 11411, 593, 519, 27710, 9707, 543, 4259, 513, 2178, 30675, 585, 824, 14565, 1141, 519, 12376, 518, 17188, 269, 901, 2731, 568, 513, 12050, 543, 3078, 1900, 676, 519, 6554, 3034, 7804, 590, 826, 20943, 8124, 267, 631, 5425, 18947, 21694, 8889, 20229, 267, 3081, 519, 1847, 786, 3648, 2569, 5068, 5533, 281, 968, 534, 3328, 540, 476, 7761, 20892, 11149, 829, 476, 1911, 332, 540, 11824, 538, 4789, 941, 1336, 538, 938, 4279, 3703, 16047, 11162, 5619, 538, 476, 1001, 278, 269, 901, 568, 513, 3094, 2914, 514, 3510, 585, 6800, 267, 3454, 2628, 619, 543, 519, 1604, 7567, 3034, 2791, 666, 4585, 513, 3381, 689, 519, 8713, 3918, 593, 875, 519, 667, 11965, 1131, 960, 563, 14294, 909, 547, 513, 9815, 1788, 610, 5859, 4757, 1592, 563, 15933, 543, 2916, 1689, 281, 9815, 814, 3144, 513, 16994, 1719, 538, 519, 6385, 7213, 6819, 2963, 827, 519, 1198, 540, 1426, 543, 8105, 593, 2916, 1689, 267, 607, 3621, 2963, 19674, 602, 938, 1426, 1062, 568, 513, 1360, 1713, 23784, 547, 8511, 3154, 5434, 269, 3776, 1426, 543, 2916, 1689, 3817, 2594, 938, 2238, 593, 713, 2565, 3390, 563, 6321, 910, 476, 5038, 15182, 731, 9335, 454, 19061, 338, 1299, 11044, 454, 289, 21392, 11233, 5253, 454, 14399, 781, 2657, 8750, 454, 14399, 781, 5253, 22411, 454, 15933, 543, 28524, 8889, 454, 15933, 1071, 268, 3591, 32367, 454, 14187, 5253, 1280, 5507, 454, 26780, 5253, 13017, 454, 5522, 8911, 5253, 20079, 454, 18600, 29968, 22411, 454, 305, 334, 1824, 547, 960, 454, 24591, 3776, 25095, 7821, 454, 306, 13610, 12829, 5177, 454, 306, 20980, 12551, 20079, 454, 306, 20980, 5253, 20079, 454, 763, 8262, 6226, 454, 31413, 5253, 10783, 9519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 519, 2063, 540, 968, 294, 16104, 892, 5880, 3547, 267, 476, 277, 811, 4553, 519, 1101, 609, 519, 10513, 14924, 4657, 1852, 1169, 942, 28428, 7366, 540, 5215, 540, 2729, 782, 1247, 519, 23573, 1025, 520, 14688, 12038, 1996, 10617, 543, 11318, 269, 901, 0, 2521, 14874, 519, 4636, 3283, 910, 589, 264, 21188, 2073, 3092, 960, 593, 7533, 2010, 1299, 972, 568, 1100, 10878, 301, 3989, 585, 7533, 2010, 910, 18178, 645, 264, 4595, 519, 1101, 11346, 568, 21188, 519, 1267, 786, 2760, 581, 2942, 910, 18178, 19382, 609, 1079, 3681, 595, 1299, 667, 1547, 634, 4082, 538, 707, 2243, 786, 6218, 547, 910, 4029, 21188, 476, 1789, 1547, 667, 264, 476, 9083, 275, 568, 1932, 2462, 547, 581, 519, 1267, 540, 910, 4029, 21188, 476, 1789, 910, 18178, 2334, 3762, 596, 609, 4781, 595, 799, 568, 519, 2953, 2626, 1547, 1548, 11759, 344, 781, 6045, 568, 9090, 2838, 585, 519, 5909, 1299, 789, 798, 2503, 596, 547, 798, 713, 8206, 634, 1657, 4480, 568, 5363, 538, 3871, 1141, 789, 9364, 4440, 2503, 596, 547, 798, 713, 910, 6715, 518, 269, 7246, 311, 318, 309, 3201, 16604, 21188, 476, 5038, 12891, 880, 454, 1103, 1840, 547, 519, 30491, 1657, 267, 585, 713, 1880, 2243, 267, 2899, 596, 8275, 1018, 519, 9352, 6041, 540, 910, 4029, 568, 630, 2158, 538, 782, 476, 3953, 11353, 1070, 543, 519, 1249, 602, 519, 1101, 5106, 267, 642, 714, 910, 4029, 24257, 276, 568, 606, 5667, 11220, 5106, 267, 621, 3587, 2653, 269, 2353, 519, 824, 6521, 4238, 786, 3274, 6445, 21325, 538, 593, 519, 2451, 2094, 519, 9049, 289, 568, 4642, 269, 1403, 596, 1039, 909, 782, 519, 6521, 2418, 267, 630, 276, 266, 276, 266, 276, 266, 276, 266, 276, 266, 276, 1070, 596, 1131, 723, 4904, 476, 1789, 21325, 689, 519, 2451, 282, 6028, 1152, 519, 9803, 1079, 11353, 4904, 609, 513, 476, 272, 269, 634, 1871, 568, 1287, 1360, 3362, 2938, 547, 581, 476, 274, 563, 296, 993, 14880, 267, 3751, 540, 519, 2826, 976, 269, 1656, 713, 568, 513, 6263, 740, 281, 0, 6624, 1053, 2972, 6947, 547, 2575, 1247, 789, 1353, 610, 798, 6780, 269, 2755, 930, 3237, 616, 1996, 713, 2856, 267, 3206, 621, 786, 1152, 16297, 873, 689, 741, 4247, 267, 972, 616, 1082, 2640, 547, 6947, 547, 2575, 1247, 11264, 1153, 960, 563, 1692, 4841, 2052, 5484, 24674, 689, 23016, 547, 8535, 454, 763, 1739, 616, 1175, 513, 1906, 5383, 2575, 666, 723, 593, 1053, 563, 18719, 1386, 24517, 1674, 543, 10312, 454, 5278, 1053, 1265, 602, 2575, 2337, 873, 1445, 543, 13404, 593, 741, 960, 269, 901, 568, 2523, 3020, 585, 1346, 945, 1353, 1732, 609, 4282, 6846, 269, 29892, 9350, 267, 25695, 2575, 666, 948, 1832, 873, 593, 3950, 543, 3625, 19240, 563, 22137, 1397, 602, 6947, 547, 2575, 1247, 2324, 666, 2333, 7607, 543, 1445, 269, 769, 835, 1353, 267, 5171, 945, 19557, 547, 8106, 2575, 1247, 11264, 3007, 24683, 21505, 4247, 1223, 3251, 593, 4305, 3476, 543, 1500, 7864, 6959, 982, 1346, 945, 5249, 538, 16563, 269, 634, 4779, 345, 691, 1198, 949, 581, 10151, 267, 855, 621, 666, 581, 5363, 693, 519, 4090, 563, 24965, 1027, 13262, 543, 17520, 454, 24523, 666, 849, 948, 2569, 2566, 543, 4160, 267, 1312, 540, 799, 666, 15936, 609, 1565, 269, 901, 568, 1317, 2575, 666, 19334, 519, 11005, 3210, 267, 799, 568, 513, 12214, 1533, 602, 568, 519, 6587, 540, 519, 2566, 3210, 563, 763, 11005, 3210, 568, 2404, 609, 4389, 2295, 2557, 267, 1973, 2604, 267, 543, 14887, 7244, 269, 901, 666, 948, 2569, 2566, 543, 4160, 267, 1312, 540, 799, 666, 2087, 5042, 1599, 543, 1565, 563, 289, 21392, 4530, 590, 13990, 454, 1103, 1840, 547, 4543, 609, 5834, 267, 2575, 666, 849, 1291, 547, 1732, 1449, 8464, 269, 2290, 1353, 1336, 602, 1053, 945, 19557, 547, 8106, 2575, 1354, 2921, 513, 2979, 1449, 856, 704, 11526, 1346, 945, 1705, 711, 6432, 547, 2575, 610, 19557, 547, 1776, 1826, 540, 2575, 563, 8448, 1382, 814, 3254, 602, 1053, 945, 1353, 2575, 4043, 547, 11677, 811, 1344, 543, 798, 1732, 593, 4255, 982, 1346, 945, 1353, 538, 16563, 269, 901, 568, 2693, 1317, 2575, 666, 2087, 1445, 543, 5834, 543, 1683, 513, 7646, 5818, 547, 5042, 1599, 563, 22517, 24031, 8682, 268, 18183, 2064, 543, 2598, 23002, 454, 5194, 1713, 4324, 540, 2575, 568, 602, 621, 25242, 1582, 21873, 543, 9015, 269, 4804, 547, 1404, 606, 6293, 610, 2206, 3217, 2259, 267, 11428, 267, 543, 16177, 269, 3414, 713, 1184, 267, 1053, 1451, 602, 789, 666, 9585, 2352, 4247, 952, 789, 6529, 609, 873, 269, 901, 16012, 6015, 1419, 11498, 883, 824, 2127, 540, 741, 2729, 607, 1134, 563, 2026, 728, 689, 20993, 1582, 21873, 267, 1565, 547, 1404, 606, 6293, 849, 2337, 1053, 1020, 9015, 269, 901, 568, 1317, 2834, 2259, 568, 1898, 585, 1818, 3356, 269, 1306, 1053, 1294, 741, 1983, 2087, 936, 942, 267, 789, 3580, 581, 12592, 547, 1832, 8026, 865, 789, 666, 3136, 547, 1205, 1732, 563, 18719, 557, 11020, 2657, 454, 15563, 267, 6947, 547, 2575, 666, 2965, 2087, 2634, 1072, 269, 901, 568, 1317, 2575, 22851, 2789, 2127, 540, 519, 2634, 267, 1519, 519, 17391, 16794, 267, 5179, 1852, 4525, 267, 543, 519, 18215, 545, 1062, 563, 1607, 14242, 666, 948, 2569, 2085, 5829, 7771, 538, 2634, 1599, 543, 2149, 1996, 2175, 899, 12110, 269, 23016, 547, 2575, 666, 849, 2087, 7099, 267, 3207, 2298, 267, 543, 5042, 1599, 538, 1004, 609, 12216, 779, 2068, 563, 1692, 1677, 8081, 2659, 4132, 779, 11146, 585, 8535, 454, 2252, 707, 1126, 20475, 606, 1719, 538, 2575, 267, 972, 616, 513, 1906, 1919, 596, 666, 798, 547, 1489, 741, 6612, 563, 8340, 519, 9406, 11819, 454, 2252, 707, 1126, 568, 3978, 827, 1565, 2575, 4938, 958, 610, 6293, 958, 267, 596, 3580, 991, 547, 1265, 519, 1318, 2575, 4116, 269, 901, 1268, 786, 581, 3743, 585, 4543, 707, 1126, 1020, 741, 1983, 543, 1451, 1007, 2553, 563, 16100, 585, 513, 2575, 4116, 609, 1995, 3450, 1053, 540, 782, 6502, 543, 2157, 269, 1411, 1058, 849, 2327, 789, 2461, 3461, 543, 723, 513, 1434, 29037, 609, 1453, 269, 1403, 707, 2370, 835, 6499, 547, 1451, 875, 547, 1404, 519, 14440, 267, 596, 991, 547, 1265, 606, 4810, 14440, 4116, 547, 948, 873, 269, 4855, 513, 2575, 4116, 609, 513, 2189, 1982, 547, 1732, 9290, 707, 1126, 779, 2115, 543, 4690, 269, 1411, 1616, 835, 596, 666, 3972, 267, 568, 6325, 267, 543, 786, 1832, 707, 2370, 835, 2922, 543, 7722, 538, 1169, 8400, 563, 24246, 519, 9406, 16811, 454, 2252, 707, 1126, 6499, 547, 1451, 875, 547, 1404, 606, 6293, 267, 789, 786, 991, 741, 1378, 6293, 547, 2259, 269, 901, 568, 1271, 1317, 621, 3947, 873, 513, 2631, 540, 9562, 543, 5539, 585, 741, 2575, 563, 2252, 596, 2461, 711, 2386, 799, 6293, 547, 4444, 267, 2307, 741, 2575, 4116, 585, 5796, 269, 1358, 1058, 581, 2111, 547, 4363, 606, 6293, 602, 779, 5078, 585, 707, 1126, 779, 2085, 267, 5578, 1377, 267, 543, 4690, 269, 1411, 666, 849, 1413, 585, 19444, 7888, 7405, 602, 616, 2653, 547, 1451, 543, 1404, 563, 2704, 869, 23067, 547, 6657, 17115, 454, 21886, 15758, 707, 2370, 835, 547, 2259, 5781, 786, 948, 873, 1020, 741, 1983, 543, 9015, 269, 901, 2982, 873, 602, 596, 1491, 741, 2575, 12517, 543, 1616, 873, 547, 8011, 269, 2521, 547, 1305, 11735, 930, 942, 1142, 1554, 585, 873, 547, 2259, 269, 1403, 713, 3884, 1406, 2009, 267, 2832, 585, 513, 1906, 2053, 829, 3018, 269, 1411, 666, 849, 948, 873, 676, 4259, 909, 513, 2259, 8430, 610, 3246, 513, 9602, 1747, 585, 873, 547, 1445, 563, 21886, 5971, 23067, 547, 29934, 14970, 9524, 1734, 454, 8266, 2287, 547, 2575, 568, 835, 3364, 267, 855, 11504, 2661, 12644, 568, 1776, 1995, 269, 654, 10248, 2661, 2575, 666, 581, 1360, 11121, 267, 2523, 585, 1762, 1453, 269, 898, 666, 849, 948, 873, 1732, 1174, 519, 2575, 789, 2461, 6947, 547, 543, 8141, 741, 1719, 538, 1114, 11964, 563, 12648, 707, 1126, 547, 1294, 2661, 2575, 12644, 8164, 2009, 952, 596, 666, 269, 1411, 666, 849, 1413, 585, 4819, 7888, 2575, 15976, 610, 30145, 538, 707, 1858, 563, 4131, 23067, 17949, 4256, 8535, 13910, 454, 5278, 1053, 1451, 1732, 609, 741, 5172, 2575, 610, 8964, 4730, 538, 519, 4282, 269, 1403, 713, 568, 519, 2013, 267, 596, 1058, 5000, 873, 547, 6432, 547, 741, 2575, 1247, 8026, 610, 4974, 269, 901, 786, 948, 873, 1445, 543, 3251, 12592, 563, 8170, 1576, 267, 621, 779, 1869, 4105, 585, 873, 547, 6432, 547, 513, 3099, 540, 2575, 267, 865, 789, 666, 4228, 741, 7574, 6492, 269, 1809, 952, 707, 2370, 835, 6560, 547, 1445, 267, 1287, 15603, 873, 6432, 547, 741, 5172, 2575, 949, 948, 563, 2467, 616, 1082, 4128, 1946, 1053, 616, 883, 2575, 267, 689, 5355, 3965, 543, 5834, 547, 20993, 1582, 21873, 543, 9015, 269, 3502, 547, 2446, 267, 621, 779, 849, 513, 1390, 1259, 547, 2569, 2566, 267, 2333, 8788, 267, 543, 3895, 5876, 543, 16542, 269, 1403, 707, 2370, 835, 568, 849, 883, 2575, 267, 1287, 581, 2386, 547, 5000, 543, 1489, 741, 6612, 269, 2991, 782, 267, 2575, 568, 513, 10516, 602, 666, 2063, 513, 10715, 269, 0, 303, 31021, 519, 29147, 19562, 1149, 3947, 519, 1126, 519, 4316, 547, 3648, 2333, 1010, 1702, 540, 519, 1158, 1472, 1864, 267, 519, 1126, 4991, 31235, 609, 4778, 543, 5546, 267, 16137, 519, 4480, 540, 1614, 8820, 5373, 267, 16137, 875, 547, 960, 609, 513, 11453, 543, 19267, 267, 10953, 5386, 5179, 1983, 267, 3007, 267, 9639, 267, 19773, 543, 3206, 3267, 8866, 262, 7801, 3756, 6338, 519, 1126, 519, 1148, 540, 7206, 269, 1358, 666, 1376, 7206, 5515, 693, 519, 2085, 540, 476, 272, 269, 276, 1296, 563, 5978, 7801, 5515, 616, 1500, 547, 2015, 519, 2085, 543, 1585, 5759, 540, 519, 1453, 267, 3142, 15131, 585, 7801, 543, 2285, 873, 606, 791, 28127, 547, 5876, 2336, 5522, 2120, 5515, 7206, 0, 31535, 875, 547, 3132, 22493, 538, 28149, 568, 3730, 1317, 621, 568, 835, 540, 519, 3014, 779, 1034, 14463, 543, 11684, 7161, 269, 22493, 7161, 2097, 538, 513, 3099, 540, 15437, 543, 3112, 581, 14616, 563, 9616, 281, 1452, 5528, 4019, 547, 782, 5867, 540, 28149, 563, 1692, 547, 5192, 22493, 538, 28149, 454, 3519, 4740, 1281, 711, 2049, 6923, 267, 3976, 596, 1590, 1711, 621, 269, 8073, 930, 22493, 32254, 1101, 267, 1287, 946, 621, 593, 513, 1216, 3625, 547, 1118, 513, 22493, 3625, 269, 3973, 267, 1210, 513, 4584, 1314, 324, 267, 9553, 519, 3625, 547, 3489, 707, 22493, 563, 1805, 871, 22493, 32254, 7161, 593, 1283, 540, 835, 1776, 547, 3132, 3875, 22493, 7161, 269, 634, 22493, 5295, 7161, 786, 2887, 950, 596, 9553, 519, 22493, 609, 707, 4584, 1314, 324, 267, 543, 519, 5377, 835, 786, 1831, 22493, 269, 15566, 5599, 519, 5377, 3625, 2394, 596, 723, 6394, 782, 540, 519, 22493, 596, 2154, 563, 26473, 1600, 10049, 585, 22493, 454, 2791, 991, 519, 1739, 3688, 547, 4739, 22493, 5295, 912, 268, 476, 275, 3400, 767, 454, 268, 476, 275, 9995, 454, 268, 476, 272, 667, 6614, 630, 1415, 2681, 994, 2414, 2490, 22493, 5295, 883, 22493, 267, 782, 596, 991, 568, 513, 1216, 2707, 543, 513, 4584, 1314, 324, 547, 9553, 621, 609, 563, 16446, 9995, 3112, 581, 1031, 547, 1118, 22493, 32254, 563, 1692, 547, 5269, 22493, 32254, 454, 1103, 513, 14958, 532, 7305, 267, 9192, 476, 275, 9995, 267, 476, 275, 3400, 767, 267, 543, 476, 272, 667, 6614, 547, 1118, 22493, 32254, 269, 898, 2306, 1100, 3017, 875, 519, 2326, 616, 11231, 563, 1103, 1034, 1979, 2345, 267, 5070, 543, 18574, 666, 581, 1336, 2282, 1216, 269, 4635, 513, 30166, 864, 267, 1114, 7990, 24470, 666, 581, 2813, 610, 24268, 689, 1880, 3615, 563, 1692, 547, 5269, 6519, 543, 4563, 22493, 538, 28149, 454, 8196, 6519, 667, 6614, 547, 1118, 6519, 22493, 32254, 269, 1411, 666, 4739, 6519, 667, 6614, 1210, 476, 272, 24942, 2725, 531, 610, 476, 272, 15039, 540, 519, 9503, 563, 8196, 4563, 667, 6614, 547, 1118, 4563, 22493, 32254, 269, 1677, 4739, 4563, 667, 6614, 267, 946, 476, 272, 769, 330, 15762, 610, 476, 272, 654, 2416, 14986, 563, 1692, 547, 5269, 667, 13433, 538, 28149, 454, 291, 13433, 666, 581, 2813, 676, 13167, 610, 1159, 601, 1154 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3194, 1790, 889, 7667, 14492, 269, 901, 568, 606, 1930, 1569, 2376, 3370, 896, 519, 21922, 9539, 517, 4467, 14293, 910, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 630, 6717, 15760, 9539, 290, 9539, 291, 476, 275, 269, 271, 264, 6132, 775, 269, 7201, 713, 6132, 775, 267, 519, 9115, 616, 11884, 2139, 2228, 630, 553, 7300, 6119, 264, 585, 24455, 547, 1224, 267, 4647, 267, 5299, 267, 543, 23799, 25572, 3177, 602, 519, 2278, 4433, 1070, 21107, 2319, 267, 543, 17404, 616, 5265, 11855, 269, 20497, 946, 543, 12045, 1568, 616, 267, 2705, 267, 711, 15868, 563, 1607, 1957, 3091, 5813, 883, 1565, 30355, 752, 538, 606, 552, 19543, 1604, 269, 634, 991, 547, 3914, 3845, 268, 3598, 2996, 540, 30355, 752, 3366, 547, 519, 6388, 540, 513, 1357, 2861, 1576, 593, 30355, 752, 1893, 543, 2528, 538, 476, 1220, 279, 1700, 1001, 271, 269, 634, 24099, 4493, 540, 519, 1576, 267, 1572, 14044, 30355, 752, 267, 568, 519, 1914, 27019, 560, 1192, 22999, 1935, 547, 3450, 543, 1565, 267, 538, 799, 519, 1445, 568, 593, 519, 1646, 540, 6267, 685, 32705, 16169, 269, 901, 3450, 4603, 3366, 547, 513, 1353, 538, 799, 519, 1445, 729, 593, 6267, 685, 4978, 543, 2833, 3823, 1565, 30355, 752, 538, 606, 552, 19543, 1604, 269, 634, 2164, 4951, 602, 713, 1880, 1565, 1604, 1185, 513, 2318, 1764, 593, 519, 1646, 540, 6267, 685, 8116, 269, 901, 1764, 729, 7152, 676, 606, 10423, 2333, 538, 8404, 543, 1893, 1565, 4656, 607, 1134, 607, 538, 513, 6857, 1935, 547, 1565, 269, 2311, 519, 8998, 540, 713, 7634, 568, 519, 6268, 540, 519, 552, 19543, 1604, 267, 2523, 922, 3261, 520, 8864, 693, 519, 14987, 685, 1377, 585, 519, 11601, 540, 513, 1447, 4122, 6026, 1893, 267, 607, 1134, 607, 540, 519, 4116, 779, 1909, 538, 519, 1565, 1184, 269, 5015, 267, 519, 2164, 7000, 602, 6267, 685, 8456, 2509, 1565, 538, 2029, 22519, 2331, 1565, 5054, 10460, 2591, 547, 519, 6044, 540, 1447, 4122, 6026, 4654, 269, 4634, 1498, 1699, 3059, 2029, 3091, 2789, 3255, 585, 519, 5610, 540, 1007, 2923, 12331, 883, 1565, 2238, 267, 519, 3903, 540, 4143, 2923, 585, 519, 1565, 2796, 543, 6267, 685, 2841, 1878, 4667, 547, 2611, 835, 540, 519, 4116, 779, 1292, 9021, 269, 4429, 21122, 8313, 9768, 7818, 268, 272, 268, 3445, 279, 275, 1626, 268, 1839, 268, 275, 454, 3674, 851, 540, 8313, 309, 7860, 540, 24099, 1646, 2433, 9750, 267, 7393, 543, 3695, 2362, 2069, 1893, 1565, 454, 26397, 538, 1382, 1344, 1062, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 4537, 12976, 3688, 609, 2147, 2140, 610, 17161, 563, 298, 344, 653, 7238, 267, 17555, 630, 28495, 516, 585, 11930, 5678, 5525, 267, 2160, 540, 808, 344, 341, 7564, 12921, 2643, 7564, 267, 476, 1001, 275, 264, 17809, 4575, 513, 30070, 1565, 1604, 585, 1565, 513, 1447, 4122, 6026, 1893, 568, 513, 4161, 269, 15043, 2029, 267, 6848, 2242, 267, 5691, 10688, 543, 13033, 1711, 1007, 7569, 585, 3610, 543, 1053, 4429, 298, 344, 653, 7238, 267, 17555, 630, 17206, 540, 808, 344, 341, 7564, 12921, 2643, 7564, 267, 476, 1001, 278, 264, 763, 2832, 540, 713, 12031, 568, 547, 12235, 1769, 593, 519, 1646, 540, 3450, 543, 1565, 30355, 752, 538, 519, 1007, 1893, 1565, 1604, 269, 1715, 7835, 538, 3450, 3366, 547, 519, 1374, 540, 606, 8097, 552, 19543, 4429, 9288, 329, 6403, 553, 267, 4432, 13453, 630, 1001, 280, 264, 22296, 558, 612, 320, 593, 13545, 329, 3326, 320, 476, 1321, 4691, 330, 20041, 268, 2129, 329, 601, 2742, 320, 1094, 4275, 534, 14833, 527, 24652, 641, 7416, 601, 6359, 334, 4068, 267, 3675, 20811, 1566, 842, 19390, 523, 737, 1408, 328, 593, 1266, 331, 21468, 269, 15397, 330, 20041, 268, 2129, 329, 601, 332, 20811, 1566, 529, 651, 23932, 694, 330, 7564, 647, 558, 8403, 529, 807, 1696, 339, 7564, 737, 753, 664, 341, 7564, 5894, 328, 7564, 1566, 7416, 601, 6359, 334, 7534, 267, 795, 320, 646, 527, 7564, 19315, 10937, 822, 520, 2144, 559, 9820, 564, 4429, 291, 18860, 9366, 267, 25795, 6390, 630, 1001, 275, 264, 307, 583, 330, 574, 340, 802, 523, 512, 1046, 334, 15856, 802, 6511, 593, 13276, 341, 8636, 7564, 7564, 267, 5378, 523, 521, 7564, 327, 330, 7238, 626, 7564, 1727, 574, 529, 2096, 335, 7564, 2077, 7238, 7564, 795, 320, 1727, 574, 831, 807, 26515, 630, 518, 640, 529, 652, 328, 16677, 320, 14492, 281, 514, 1727, 574, 529, 2096, 335, 7564, 2077, 7238, 7564, 795, 320, 552, 14114, 11017, 1727, 1731, 597, 14765, 10937, 264, 737, 7564, 12682, 564, 7564, 7564, 333, 1566, 564, 340, 802, 612, 320, 267, 1728, 7238, 323, 2106, 6339, 7564, 7564, 333, 330, 7238, 562, 7564, 16582, 13545, 14765, 600, 807, 579, 639, 807, 4429, 22416, 767, 320, 267, 12756, 630, 1001, 277, 264, 309, 7398, 7699, 8932, 31463, 574, 529, 2096, 335, 7564, 2077, 7238, 339, 1196, 755, 822, 520, 647, 327, 974, 749, 17470, 579, 583, 3279, 1566, 28127, 14153, 9369, 320, 269, 715, 7564, 16582, 586, 5404, 7564, 2077, 7238, 329, 523, 647, 18365, 8636, 601, 1380, 320, 593, 1566, 564, 4157, 1088, 548, 607, 564, 9116, 340, 329, 523, 642, 320, 520, 574, 755, 523, 554, 340, 558, 1470, 574, 17470, 561, 529, 7564, 802, 328, 522, 548, 749, 16695, 586, 7825, 7564, 4135, 7564, 7564, 586, 802, 559, 7238, 333, 512, 822, 520, 737, 5803, 320, 795, 320, 586, 7825, 7564, 4135, 7564, 7564, 3267, 0, 1432, 616, 519, 21041, 16572, 538, 5607, 15017, 11514, 25068, 281, 634, 5467, 17358, 543, 26342, 602, 13786, 1043, 15536, 19072, 698, 6767, 595, 3559, 569, 568, 711, 513, 1876, 6109, 15828, 1177, 9807, 543, 1281, 711, 1683, 3656, 5796, 538, 4276, 609, 7395, 6767, 779, 7677, 5109, 540, 4930, 543, 1344, 827, 7834, 4031, 543, 6042, 269, 634, 5467, 4927, 5077, 609, 741, 3656, 8480, 607, 3617, 1354, 14045, 2436, 547, 957, 2390, 1344, 2854, 543, 4330, 538, 713, 2376, 563, 288, 7834, 1876, 568, 513, 29417, 267, 5293, 676, 513, 15424, 1560, 267, 602, 21560, 519, 4015, 267, 946, 267, 543, 23425, 540, 2123, 1344, 269, 9608, 1344, 568, 1022, 1344, 602, 666, 581, 1031, 547, 2697, 606, 1367, 269, 901, 2882, 2012, 267, 2232, 267, 4317, 8232, 1297, 267, 5491, 3556, 2338, 267, 543, 865, 593, 563, 7468, 643, 2329, 4031, 616, 2966, 547, 2149, 519, 1367, 779, 1318, 547, 7834, 676, 12145, 519, 1259, 538, 799, 2123, 1344, 666, 581, 6394, 267, 1031, 267, 543, 31889, 563, 288, 2754, 666, 2445, 267, 4558, 267, 1184, 610, 946, 1585, 1826, 540, 1344, 282, 711, 1152, 2123, 1344, 267, 585, 1383, 2883, 6898, 267, 14804, 4640, 4566, 267, 10838, 1866, 269, 1717, 267, 1152, 2123, 1344, 568, 14931, 896, 7834, 4031, 563, 29995, 952, 513, 2754, 6499, 547, 4558, 2123, 1344, 267, 621, 1590, 723, 513, 2601, 547, 798, 865, 630, 324, 3052, 1421, 519, 1367, 814, 2016, 9844, 585, 519, 2754, 547, 4558, 741, 1344, 1040, 1703, 616, 513, 1906, 1455, 4128, 1946, 513, 2754, 1131, 1616, 547, 4558, 2123, 1344, 912, 2414, 1683, 1732, 6075, 3028, 630, 324, 3052, 1421, 952, 519, 2754, 2115, 547, 3346, 519, 6075, 827, 606, 1931, 789, 5116, 994, 268, 1677, 3077, 18537, 610, 6725, 2326, 547, 1808, 5561, 454, 268, 1677, 16783, 609, 2229, 6042, 630, 324, 3052, 1421, 2883, 5238, 1590, 1832, 5638, 540, 782, 8852, 994, 268, 1677, 2061, 12611, 610, 3961, 17403, 454, 3963, 7834, 4031, 616, 1271, 888, 7468, 643, 2329, 4031, 616, 1271, 1317, 789, 948, 2149, 938, 2123, 1344, 2443, 1344, 602, 649, 949, 711, 1616, 1866, 547, 723, 1569, 547, 563, 2690, 1383, 267, 4952, 596, 4294, 585, 513, 10211, 2228, 269, 1403, 519, 561, 2658, 1223, 1294, 782, 540, 707, 824, 2228, 2534, 267, 789, 1522, 581, 2111, 547, 3313, 2436, 610, 711, 596, 2461, 2693, 547, 9949, 593, 519, 10211, 269, 2107, 952, 606, 16108, 1223, 1294, 707, 1514, 2923, 9708, 267, 789, 1522, 1205, 513, 2631, 585, 707, 2123, 1272, 630, 6518, 1223, 1764, 2436, 610, 711, 596, 2461, 21534, 1916, 7468, 643, 2329, 4031, 948, 2149, 938, 2123, 1344, 689, 1373, 15600, 543, 1031, 538, 2081, 602, 649, 949, 711, 1616, 621, 547, 581, 1031, 563, 4517, 602, 779, 1946, 789, 2461, 865, 1271, 2336, 9989, 1169, 2197, 538, 519, 1158, 723, 513, 7834, 1876, 15017, 17843, 2477, 723, 1114, 7834, 4031, 269, 4107, 2919, 2477, 723, 930, 1106, 540, 7834, 1876, 538, 1747, 547, 2149, 4961, 685, 2123, 1344, 563, 2690, 1383, 267, 519, 2136, 2276, 814, 519, 21041, 2920, 540, 476, 3192, 275, 267, 799, 3340, 5313, 8041, 547, 2149, 2043, 685, 2123, 1344, 689, 18977, 23930, 269, 634, 21041, 2920, 540, 476, 3192, 275, 267, 607, 29567, 267, 476, 276, 772, 2529, 5861, 269, 19926, 476, 4649, 273, 320, 267, 20964, 513, 3009, 540, 4023, 1344, 2853, 602, 1754, 985, 519, 4015, 267, 5826, 267, 946, 267, 543, 23425, 540, 1344, 827, 2043, 602, 568, 9738, 538, 1949, 540, 5638, 676, 5313, 8041, 269, 1656, 519, 3864, 5742, 814, 519, 4937, 4578, 10466, 19938, 630, 294, 7894, 305, 1070, 799, 21560, 875, 2123, 1239, 666, 581, 6394, 267, 1031, 267, 543, 3838, 676, 3549, 7231, 609, 9167, 7264, 685, 1239, 269, 634, 12654, 305, 568, 513, 9167, 1239, 4027, 1876, 602, 3357, 883, 1198, 593, 2904, 476, 1839, 267, 476, 1001, 279, 269, 634, 12654, 305, 30283, 519, 476, 1960, 276, 9167, 4578, 10466, 6034, 633, 269, 898, 18791, 9167, 1239, 4027, 3652, 676, 4758, 2043, 811, 1852, 936, 741, 2123, 1239, 267, 543, 9591, 1007, 2924, 585, 2043, 269, 7201, 519, 12654, 305, 267, 782, 3906, 602, 1184, 519, 2123, 1239, 540, 9167, 7264, 1590, 16783, 609, 1808, 6042, 269, 1452, 6042, 1331, 13844, 9844, 689, 2043, 1354, 10655, 610, 4393, 741, 2123, 1239, 267, 26655, 2043, 827, 741, 2924, 896, 12654, 305, 267, 543, 6966, 532, 513, 4578, 10466, 20229, 630, 7894, 302, 264, 896, 1978, 6381, 269, 20871, 602, 3111, 547, 16783, 609, 12654, 305, 666, 581, 535, 1441, 909, 547, 476, 275, 260, 540, 741, 2518, 5993, 8907, 610, 24843, 736, 2929, 630, 3369, 31295, 568, 3152, 1916, 15389, 856, 540, 476, 3707, 2477, 1185, 2322, 538, 1747, 9086, 547, 5150, 519, 4027, 540, 1239, 543, 7834, 269, 4000, 543, 5607, 1397, 1114, 1377, 540, 10073, 609, 476, 8618, 543, 476, 6872, 829, 1298, 540, 2477, 2348, 7550, 971, 9777, 725, 269, 634, 2671, 538, 519, 2547, 2919, 2477, 538, 1152, 476, 4366, 829, 1298, 269, 1496, 13126, 281, 4179, 2517, 9417, 611, 3820, 270, 2457, 7933, 1092, 3491, 339, 1254, 7146, 17376, 643, 2329, 268, 5586, 529, 3175, 8996, 4204, 316, 1924, 9811, 267, 1169, 2197, 1281, 711, 8209, 723, 513, 7834, 1876, 267, 855, 1034, 2919, 2477, 798, 723, 930, 4990, 540, 1876, 538, 1747, 547, 2149, 741, 4961, 685, 2123, 1344, 563, 10287, 803, 593, 12108, 585, 811, 10311, 827, 3354, 543, 7834, 912, 1432, 827, 7834, 4031, 538, 5607, 888, 4131, 779, 1376, 609, 14135, 563, 763, 9608, 4578, 10466, 2920, 630, 11520, 5183, 264, 540, 14135, 729, 3964, 538, 476, 1001, 274, 593, 476, 273, 3967, 340, 541, 267, 1247, 621, 729, 3323, 538, 476, 1001, 273, 269, 634, 1699, 4528, 607, 829, 519, 476, 1724, 628, 540, 4989, 476, 1708, 273, 568, 7396, 1934, 269, 898, 5036, 856, 519, 2666, 3652, 593, 875, 14540, 949, 2445, 267, 946, 610, 30035, 968, 26051, 1239, 6100, 634, 19113, 5183, 6227, 1022, 1344, 602, 666, 581, 1031, 547, 2697, 606, 1367, 267, 971, 607, 2012, 267, 3346, 3877, 267, 8446, 2338, 267, 8523, 543, 4757, 2232, 563, 763, 19113, 5183, 3340, 14540, 547, 1491, 3268, 547, 2149, 2123, 1239, 689, 796, 10461, 2213, 1569, 267, 4015, 267, 946, 267, 23930, 610, 9552, 269, 1358, 1590, 849, 2322, 538, 1747, 3800, 547, 2327, 602, 519, 2123, 1239, 568, 4977, 267, 2347, 543, 909, 3562, 15082, 269, 14936, 267, 789, 1590, 1217, 2043, 827, 741, 2924, 896, 519, 19113, 5183, 543, 3343, 9844, 1354, 10655, 267, 1210, 610, 12607, 3151, 563, 5415, 1344, 593, 519, 4013, 623, 7894, 290, 3896, 281, 4179, 2517, 4178, 4877, 31389, 322, 10993, 4732, 326, 13045, 4131, 779, 1174, 3127, 779, 7834, 6042, 3460, 563, 4407, 972, 568, 1100, 6131, 7834, 1876, 538, 3127, 602, 568, 4625, 24451, 267, 519, 2197, 1281, 723, 513, 1297 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 11153, 2249, 540, 3165, 2661, 538, 513, 4928, 16983, 269, 4841, 5469, 602, 519, 575, 1571, 540, 835, 1826, 540, 3165, 1847, 5488, 982, 519, 575, 1571, 540, 519, 824, 3165, 269, 6904, 540, 891, 6898, 568, 519, 1655, 8367, 593, 713, 8343, 888, 12585, 281, 12551, 991, 1114, 5666, 540, 5135, 269, 0, 9223, 281, 1548, 729, 519, 4050, 2012, 540, 519, 2110, 1650, 5856, 670, 670, 16189, 549, 888, 12585, 281, 554, 554, 544, 684, 549, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 17681, 2370, 3504, 24414, 2879, 1251, 9934, 27576, 834, 536, 834, 3504, 24414, 2879, 1251, 9934, 2370, 17681, 27576, 834, 15017, 288, 281, 513, 0, 9223, 281, 1411, 949, 1589, 267, 6070, 568, 1175, 513, 2241, 5986, 3693, 649, 21199, 593, 938, 1426, 585, 513, 2370, 3063, 6492, 269, 1809, 6070, 568, 1454, 811, 982, 602, 269, 9453, 6070, 938, 6091, 1131, 711, 1847, 269, 3776, 8401, 1949, 1131, 711, 7500, 269, 3776, 12271, 1131, 711, 10726, 269, 1809, 798, 711, 1589, 27012, 6070, 538, 513, 10138, 786, 948, 269, 23560, 602, 1131, 581, 11213, 543, 711, 12115, 519, 10138, 269, 1677, 6299, 6070, 538, 513, 10138, 568, 606, 18986, 558, 602, 1797, 547, 3483, 2685, 1118, 513, 3983, 3510, 8338, 269, 7216, 3425, 3893, 519, 6070, 789, 2877, 547, 3251, 9800, 689, 519, 2831, 789, 7166, 269, 1809, 8441, 538, 6683, 3366, 547, 513, 2732, 1970, 538, 6070, 269, 1924, 267, 3425, 2877, 547, 1265, 824, 2959, 269, 8409, 945, 5030, 2282, 519, 5836, 610, 824, 2067, 2959, 585, 6070, 941, 18822, 269, 8409, 945, 1705, 711, 1185, 547, 4123, 585, 6070, 269, 769, 1249, 267, 1004, 1031, 6070, 607, 513, 1505, 540, 8569, 538, 1082, 2694, 540, 519, 3504, 1158, 269, 634, 2262, 834, 15680, 776, 257, 2501, 689, 519, 2262, 834, 338, 5306, 2668, 17865, 849, 5129, 606, 1271, 851, 538, 2551, 3350, 543, 1158, 3408, 269, 10812, 3464, 6956, 602, 952, 789, 1223, 1832, 1426, 4195, 267, 16269, 1223, 2951, 3476, 9883, 269, 1924, 789, 1031, 6070, 547, 8190, 1426, 543, 8268, 519, 1158, 269, 17865, 729, 865, 1271, 602, 267, 2687, 547, 1426, 12206, 269, 621, 729, 21775, 11013, 16519, 1790, 895, 585, 4154, 269, 4653, 267, 1004, 1869, 946, 519, 7215, 834, 1729, 581, 4502, 835, 781, 6070, 257, 610, 834, 10290, 835, 781, 2597, 538, 6070, 2668, 634, 7215, 4766, 513, 1268, 540, 1871, 269, 589, 1268, 1522, 849, 581, 1572, 6070, 540, 519, 3618, 269, 2334, 6609, 1797, 646, 610, 1352, 568, 4096, 762, 543, 22973, 269, 1717, 267, 950, 596, 2161, 834, 296, 1589, 649, 1058, 1491, 1018, 646, 1767, 609, 513, 10286, 540, 6070, 257, 596, 1611, 596, 3398, 621, 855, 2226, 513, 4110, 540, 8969, 827, 922, 5168, 269, 589, 581, 1375, 541, 781, 3694, 729, 21687, 2063, 3781, 1421, 6518, 1797, 476, 9041, 476, 4586, 288, 269, 6070, 540, 519, 3618, 454, 289, 269, 27012, 6070, 538, 513, 10138, 454, 290, 269, 513, 2732, 1970, 538, 6070, 454, 291, 269, 4502, 1010, 6070, 454, 12585, 281, 645, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 3689, 540, 782, 267, 1373, 606, 12146, 540, 595, 2642, 769, 700, 864, 568, 6190, 585, 1373, 606, 12146, 540, 24006, 1722, 631, 2444, 4673, 269, 8921, 267, 8726, 568, 9444, 606, 12146, 540, 16685, 1744, 20760, 630, 293, 11170, 264, 6862, 606, 12146, 540, 631, 6242, 923, 568, 606, 12146, 540, 595, 2642, 769, 700, 864, 269, 1284, 949, 9959, 602, 8726, 568, 9039, 540, 713, 281, 606, 12146, 540, 16685, 1744, 20760, 630, 293, 11170, 264, 610, 12146, 540, 631, 6242, 923, 267, 568, 606, 12146, 540, 24006, 1722, 631, 2444, 4673, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21083, 4401, 12357, 5556, 565, 3150, 21489, 834, 536, 834, 12357, 21083, 5556, 565, 3150, 4401, 21489, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 21298, 267, 1082, 6300, 11825, 8359, 547, 2057, 519, 21173, 24921, 543, 798, 741, 9702, 10918, 689, 519, 4313, 540, 741, 2780, 2529, 2297, 693, 2228, 8637, 6591, 676, 811, 982, 476, 1428, 9077, 1818, 621, 519, 7887, 4005, 2479, 269, 3719, 1004, 616, 849, 13059, 1346, 16306, 693, 2594, 3928, 267, 909, 476, 279, 260, 689, 2063, 1032, 269, 1548, 4682, 4636, 286, 1772, 519, 14692, 540, 519, 2518, 2883, 6433, 1818, 621, 9875, 547, 3398, 7050, 8213, 286, 2107, 602, 1004, 6300, 811, 791, 6160, 1947, 476, 4534, 663, 4061, 1118, 3983, 3664, 4534, 15290, 2228, 286, 5637, 7440, 616, 9583, 10257, 269, 4913, 267, 972, 568, 513, 3791, 3815, 281, 513, 2243, 540, 5905, 269, 2171, 666, 2648, 630, 12340, 1413, 855, 267, 538, 606, 2228, 1604, 267, 649, 3112, 1745, 519, 2298, 540, 513, 9403, 476, 2073, 519, 3337, 540, 519, 3514, 267, 519, 2887, 540, 513, 16784, 610, 267, 585, 602, 2339, 267, 519, 2597, 540, 606, 1274, 2590, 269, 4517, 9308, 15025, 609, 606, 1843, 2306, 596, 811, 8149, 547, 707, 6718, 269, 1879, 1250, 1034, 2487, 1433, 15952, 13195, 1117, 729, 5950, 267, 594, 8678, 909, 609, 513, 2199, 21869, 648, 547, 2932, 606, 4603, 827, 519, 3017, 1063, 519, 2228, 543, 22356, 10918, 1995, 15660, 5402, 25009, 513, 1895, 540, 13538, 547, 3895, 1250, 1433, 538, 1079, 1114, 2081, 7868, 1101, 729, 513, 9425, 3946, 11325, 1935, 269, 12640, 6866, 513, 6075, 1131, 2307, 827, 1250, 1433, 267, 519, 15321, 1131, 1491, 873, 936, 547, 519, 15808, 543, 1448, 547, 621, 269, 11073, 540, 476, 736, 971, 13668, 267, 3670, 5561, 1500, 519, 6718, 269, 634, 2034, 4781, 849, 3238, 2469, 936, 547, 519, 15808, 855, 267, 713, 942, 267, 9427, 519, 1433, 543, 1287, 8066, 5196, 621, 585, 1175, 606, 3063, 4090, 1354, 11093, 621, 538, 519, 6075, 781, 3946, 269, 8170, 519, 476, 736, 1004, 945, 941, 19942, 519, 1433, 267, 476, 1724, 8694, 909, 9140, 621, 269, 9617, 9308, 8429, 519, 1433, 4951, 513, 2462, 3017, 538, 6455, 269, 3963, 286, 1284, 1745, 1945, 2147, 547, 513, 2631, 540, 9562, 950, 649, 3180, 1919, 538, 938, 1688, 269, 6546, 781, 1946, 649, 3715, 4276, 676, 28551, 21046, 543, 2828, 609, 513, 3946, 327, 820, 16638, 713, 2013, 267, 2348, 547, 1287, 1577, 979, 540, 519, 1433, 1310, 8066, 621, 1522, 3132, 513, 2631, 540, 2530, 267, 543, 18663, 721, 547, 1118, 519, 6718, 1256, 811, 269, 589, 2487, 1353, 849, 4951, 519, 1379, 540, 5905, 267, 538, 713, 2013, 950, 621, 3357, 547, 2757, 13875, 6993, 4514, 543, 3476, 18835, 12705, 540, 513, 5048, 729, 4646, 950, 9447, 2192, 513, 4484, 267, 607, 10353, 547, 8391, 519, 1482, 5048, 2228, 11065, 1778, 2592, 4951, 602, 267, 593, 15700, 519, 1957, 267, 519, 3929, 4099, 540, 519, 2634, 729, 15181, 267, 3976, 8108, 513, 6793, 6125, 7868, 1353, 849, 8612, 602, 2899, 5905, 3587, 851, 540, 519, 1184, 267, 621, 1223, 14377, 883, 513, 2631, 540, 15896, 269, 476, 901, 2631, 540, 9562, 568, 3274, 711, 851, 540, 519, 3510, 538, 519, 2228, 10918, 1995, 269, 4208, 798, 1004, 4782, 10918, 2228, 2687, 547, 519, 2278, 888, 288, 269, 898, 17990, 873, 513, 2603, 540, 2724, 543, 942, 563, 289, 269, 898, 568, 811, 6899, 543, 10375, 563, 290, 269, 898, 3091, 873, 513, 2603, 811, 3681, 543, 20476, 1622, 563, 291, 269, 898, 3947, 873, 811, 942, 547, 1589, 827, 741, 6718, 563, 12585, 281, 645, 0, 9223, 281, 3624, 568, 519, 7887, 2344, 538, 519, 1158, 267, 543, 1082, 2477, 971, 607, 5125, 267, 519, 7330, 267, 519, 5177, 543, 6576, 798, 513, 2603, 540, 1870, 538, 3624, 269, 2913, 781, 723, 513, 1413, 693, 930, 1271, 4388, 547, 948, 596, 581, 3811, 950, 7231, 609, 891, 3084, 885, 269, 3689, 267, 596, 1590, 581, 14047, 783, 567, 609, 16586, 269, 4634, 476, 276, 3764, 3735, 2306, 513, 3983, 12705, 269, 9861, 14047, 783, 568, 849, 1360, 1271, 538, 519, 7330, 269, 769, 519, 5177, 267, 621, 781, 1271, 547, 581, 14047, 783, 585, 1870, 11401, 267, 855, 18864, 26770, 596, 547, 581, 593, 942, 585, 513, 1514, 2680, 269, 21009, 2250, 5722, 2731, 1797, 513, 10116, 547, 5216, 267, 610, 1256, 5216, 522, 262, 22018, 256, 2060, 28592, 267, 596, 1058, 2141, 581, 593, 942, 267, 1498, 621, 568, 711, 8966, 585, 873, 547, 581, 835, 610, 1256, 1079, 3108, 3735, 256, 898, 568, 1655, 547, 10571, 18005, 543, 5957, 4158, 15437, 950, 596, 2743, 1004, 689, 782, 519, 2185, 2477, 269, 769, 6576, 267, 14704, 9660, 616, 1360, 1455, 269, 5213, 1405, 581, 14281, 952, 596, 979, 547, 606, 5604, 538, 519, 5177, 593, 513, 11016, 543, 1265, 3025, 9849, 14247, 753, 269, 3509, 3549, 723, 834, 323, 816, 1524, 11016, 2580, 950, 1004, 5957, 13680, 567, 9660, 269, 769, 5125, 267, 1101, 4408, 616, 1152, 1031, 676, 1920, 2818, 543, 2673, 2828, 267, 865, 581, 5423, 547, 946, 10643, 543, 2063, 4408, 269, 769, 519, 7330, 596, 786, 2356, 581, 14376, 547, 946, 1101, 4408, 3592, 5612, 269, 634, 3703, 616, 3833, 13016, 543, 1210, 1101, 4408, 538, 1870, 568, 811, 543, 811, 1455, 267, 2523, 1851, 7820, 1004, 269, 769, 6576, 267, 2705, 267, 18864, 3096, 1101, 4408, 267, 865, 946, 10643, 543, 2063, 4408, 269, 769, 6643, 267, 519, 3703, 543, 519, 4892, 1871, 1208, 712, 267, 543, 1312, 899, 547, 2911, 827, 7328, 269, 634, 4365, 568, 849, 513, 1434, 1888, 540, 6643, 609, 519, 3703, 543, 519, 4892, 267, 855, 2057, 6158, 827, 6214, 269, 769, 6576, 267, 2161, 2318, 1919, 827, 741, 2197, 267, 855, 2057, 1818, 20286, 269, 634, 16586, 267, 2705, 267, 4782, 547, 1205, 2786, 1524, 547, 1870, 256, 1924, 267, 946, 891, 4388, 267, 543, 596, 786, 581, 593, 707, 1259, 547, 513, 3811, 3486, 1870, 4876, 256, 1879, 596, 2911, 547, 513, 6739, 267, 596, 666, 567, 9041, 476, 4586, 288, 269, 29153, 827, 1945, 454, 289, 269, 2161, 1945, 2942, 827, 1010, 2197, 454, 290, 269, 2161, 1945, 1434, 827, 1010, 2197, 454, 291, 269, 1448, 856, 930, 11393, 538, 6214, 454, 12585, 281, 595, 0, 9223, 281, 589, 2328, 2987, 11134, 568, 513, 11204, 12677, 543, 568, 540, 519, 6644, 602, 646, 2115, 513, 1804, 2490, 719, 540, 11204, 17037, 538, 1931, 547, 3094, 519, 9550, 269, 1306, 513, 1267, 267, 1010, 5859, 9614, 267, 16976, 547, 13875, 547, 1169, 10805, 11204, 28056, 513, 15237, 11325, 6529, 518, 267, 799, 12217, 519, 11134, 781, 2012, 543, 5604, 585, 799, 646, 568, 4881, 269, 4595, 1082, 5065, 11204, 1004, 616, 711, 21295, 538, 2542, 543, 1603, 2296, 267, 519, 5859, 9614, 11099, 602, 1082, 540, 519, 17037, 786, 723, 7411, 1603, 519, 11134, 781, 2012, 543, 5604, 593, 519, 3440, 582, 269, 1306, 513, 1267, 267, 519, 5859, 9614, 814, 15841, 606, 3573, 2923, 5859, 547, 1217, 17037, 593, 875, 547, 4019, 519, 29654, 547, 519, 3440, 582, 269, 12866, 3275, 1991, 547, 519, 9550, 606, 9550, 4013, 711, 5809, 519, 11134, 781, 5859, 12233, 602, 519, 15237, 11325, 29654, 798, 711, 16783, 609, 519, 1533, 29417, 269, 769, 1200, 4484, 267, 519, 4013, 6941, 602, 1533, 9550, 8387, 616, 540, 519, 6644, 602, 621, 568, 2556, 585, 1761, 17037, 547, 2328, 519, 11134, 781, 2012, 538, 13504, 269, 4475, 267, 1352, 20147, 602, 519, 29654, 798, 711, 16783, 609, 27152, 4170, 269, 8422, 4374, 2663, 267, 519, 11134, 19429, 9290, 538, 5313, 8664, 5480, 1996, 1533, 9550, 8387, 19101, 602, 741, 7664, 540, 519, 1533, 29417, 3423, 919, 519, 772, 269, 590, 269, 9139, 269, 6904, 540, 519, 1739, 267, 952, 3964, 267, 5036, 8521, 519, 16999, 13338, 4661, 5885, 519, 9550, 4013, 781, 7664, 540, 519, 29417, 888, 288, 269, 966, 582, 518, 2490, 719, 1851, 10805, 11204, 1977, 17037, 945, 3668, 15334, 538, 2296, 814, 1044, 1447, 982, 476, 272, 260, 540, 519, 3003, 1533, 2698, 538, 2487, 12836, 563, 289, 269, 589, 1533, 29417, 3340, 602, 1142, 13359, 1630, 1054, 581, 9280, 609, 606, 13504, 4050, 547, 7520, 519, 1603, 538, 540, 16018 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 19176, 538, 519, 5087, 543, 5045, 8661, 570, 17554, 379, 339, 454, 763, 1651, 1619, 568, 8781, 267, 536, 17505, 327, 669, 386, 364, 978, 616, 14495, 267, 519, 23017, 9269, 568, 1434, 547, 979, 267, 543, 519, 22269, 32395, 616, 4712, 547, 16036, 269, 901, 568, 513, 6429, 5129, 856, 538, 19176, 10820, 2066, 519, 2197, 593, 519, 552, 557, 540, 570, 17554, 379, 339, 267, 610, 10476, 779, 30803, 1715, 5729, 9702, 563, 2690, 1346, 711, 1932, 5432, 609, 570, 17554, 379, 339, 16873, 267, 621, 568, 606, 5993, 9702, 9976, 593, 519, 1101, 1554, 540, 519, 16264, 11706, 269, 4706, 11812, 1419, 8813, 538, 3735, 5130, 610, 2038, 5988, 267, 2394, 519, 3791, 1554, 563, 4407, 519, 9702, 568, 519, 2197, 779, 7887, 2757, 11812, 267, 972, 616, 1713, 3604, 538, 519, 2081, 19176, 1004, 8661, 621, 269, 2913, 779, 1491, 513, 1413, 693, 519, 2081, 570, 17554, 379, 339, 267, 2853, 543, 9821, 8428, 1851, 8828, 543, 8832, 19176, 563, 272, 269, 570, 17554, 379, 339, 6752, 5673, 593, 938, 16374, 454, 310, 1301, 9660, 585, 570, 17554, 379, 339, 538, 519, 5087, 454, 15862, 5491, 281, 7711, 332, 23186, 978, 454, 4407, 8832, 10476, 19646, 4411, 24475, 543, 2834, 11811, 338, 1282, 713, 942, 540, 519, 1032, 267, 8828, 10476, 1869, 2833, 7646, 13566, 2395, 563, 11764, 1067, 7802, 585, 570, 17554, 379, 339, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 701, 321, 777, 9078, 913, 569, 454, 1607, 568, 1946, 8832, 19176, 5734, 519, 10754, 538, 15985, 956, 540, 13544, 1115, 543, 10077, 1407, 267, 1247, 8828, 19176, 616, 1869, 804, 611, 538, 4832, 9660, 610, 513, 334, 546, 2967, 563, 273, 269, 22216, 787, 32395, 538, 519, 5087, 267, 3284, 878, 582, 5810, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 332, 23186, 978, 454, 18814, 547, 3604, 538, 16374, 267, 519, 5810, 1031, 585, 7622, 23598, 616, 849, 1114, 563, 15862, 5491, 281, 7711, 745, 6798, 269, 638, 2106, 7315, 327, 454, 2690, 6502, 267, 22269, 32395, 723, 1044, 519, 8768, 540, 3903, 585, 7622, 23598, 538, 519, 5087, 1282, 519, 570, 17554, 379, 339, 9702, 269, 634, 4527, 540, 713, 11599, 8768, 568, 2141, 2404, 609, 519, 4098, 540, 513, 1007, 1032, 563, 15862, 5491, 281, 7711, 514, 3336, 318, 1372, 14585, 454, 294, 27172, 609, 513, 5835, 512, 842, 543, 608, 24851, 513, 3636, 642, 32079, 267, 3284, 878, 582, 5810, 2099, 519, 7524, 1648, 540, 590, 719, 615, 2996, 543, 519, 3636, 2916, 540, 713, 2244, 540, 24106, 269, 1280, 713, 2601, 267, 3284, 878, 1824, 616, 519, 1034, 4122, 2938, 5810, 538, 590, 719, 615, 2996, 685, 10820, 1282, 519, 30803, 1715, 5729, 563, 274, 269, 10965, 22326, 593, 536, 17505, 327, 669, 386, 364, 978, 538, 519, 5087, 267, 543, 536, 17505, 327, 512, 18863, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 13700, 836, 978, 8500, 523, 11011, 339, 331, 327, 335, 454, 7628, 519, 30803, 1715, 5729, 31054, 267, 17368, 615, 2996, 3548, 536, 17505, 327, 669, 386, 364, 978, 267, 610, 669, 386, 364, 978, 25394, 267, 1247, 590, 719, 615, 2996, 3548, 536, 17505, 327, 512, 18863, 267, 610, 512, 18863, 25394, 267, 799, 616, 2757, 30018, 8286, 563, 13828, 25394, 616, 1500, 689, 22965, 29532, 7573, 543, 4904, 609, 2241, 5820, 971, 607, 544, 2426, 10365, 267, 1295, 1027, 20230, 267, 543, 19637, 563, 15862, 5491, 281, 7711, 339, 2426, 19049, 269, 4777, 454, 763, 1292, 3017, 1063, 891, 25394, 6013, 538, 741, 5546, 543, 7306, 269, 13507, 1944, 519, 4396, 5748, 540, 519, 3047, 267, 536, 17505, 327, 669, 386, 364, 978, 2141, 3217, 593, 25921, 4009, 5546, 563, 15862, 5491, 281, 7711, 3832, 325, 318, 628, 8500, 318, 874, 600, 454, 289, 17505, 327, 512, 18863, 267, 593, 519, 824, 1688, 267, 616, 1500, 538, 20425, 5546, 543, 540, 4130, 7306, 563, 15862, 5491, 281, 7711, 30501, 784, 16223, 4512, 454, 4407, 1034, 3885, 2221, 1931, 30018, 25394, 9447, 547, 741, 7450, 25074, 585, 570, 17554, 379, 339, 16873, 547, 4688, 942, 267, 1082, 1866, 1869, 1246, 519, 2245, 540, 11018, 1927, 547, 3434, 891, 25394, 2933, 563, 275, 269, 7756, 1590, 3620, 1511, 570, 17554, 379, 339, 8286, 593, 519, 1101, 1554, 540, 519, 1007, 1032, 454, 763, 8286, 12286, 593, 519, 3349, 540, 513, 8832, 7622, 267, 1519, 13792, 20230, 609, 4584, 956, 267, 932, 386, 364, 978, 14735, 267, 2620, 1922, 3072, 5614, 20061, 267, 9269, 267, 543, 20202, 7573, 563, 15862, 5491, 281, 7711, 337, 644, 2421, 318, 14378, 271, 454, 1103, 519, 5087, 267, 519, 1101, 7594, 540, 519, 1007, 1032, 2356, 2934, 2757, 8286, 971, 607, 13792, 20230, 609, 4584, 956, 630, 628, 12782, 489, 339, 17487, 495, 20110, 978, 546, 386, 364, 320, 669, 7699, 264, 543, 536, 17505, 327, 669, 386, 364, 978, 267, 1247, 519, 1101, 7594, 538, 519, 5045, 2141, 5161, 540, 2909, 2213, 20230, 543, 21868, 5798, 630, 628, 12782, 489, 339, 737, 14833, 554, 12782, 503, 339, 642, 12782, 489, 339, 264, 543, 536, 17505, 327, 512, 18863, 563, 303, 580, 2960, 17339, 454, 15862, 5491, 281, 7711, 4802, 26387, 25988, 323, 10706, 454, 2690, 17339, 267, 17368, 615, 2996, 1118, 6477, 2960, 17339, 630, 4754, 327, 536, 6759, 978, 555, 17554, 352, 1070, 513, 14312, 543, 6653, 2389, 8463, 8670, 1500, 689, 6477, 2960, 267, 22282, 267, 17228, 267, 543, 20230, 3501, 585, 513, 669, 11035, 1007, 1032, 779, 552, 557, 563, 24154, 2213, 20230, 543, 21868, 5798, 543, 15280, 5283, 517, 17339, 454, 15862, 5491, 281, 7711, 6652, 1014, 1962, 534, 454, 19602, 267, 590, 719, 615, 2996, 3442, 513, 17339, 8670, 602, 666, 1406, 581, 1022, 811, 1114, 1107, 15280, 11993, 17339, 609, 20230, 630, 4754, 327, 737, 327, 12782, 499, 844, 320, 1040, 2755, 713, 8670, 568, 1634, 585, 922, 726, 550, 3814, 1072, 2640, 971, 607, 4227, 4835, 1560, 3002, 543, 10970, 11868, 3987, 2589, 267, 621, 779, 849, 26526, 15280, 543, 2182, 547, 3548, 585, 1082, 17368, 615, 2996, 685, 5493, 919, 563, 763, 8286, 12286, 593, 519, 3349, 540, 513, 7187, 7622, 267, 1519, 2909, 2213, 20230, 543, 21868, 5798, 543, 15280, 5283, 517, 17339, 454, 15862, 5491, 281, 7711, 548, 548, 318, 7079, 548, 454, 763, 1913, 15280, 11993, 630, 16223, 12782, 499, 844, 320, 1070, 3280, 899, 20408, 519, 7092, 538, 19176, 267, 543, 3976, 1129, 4328, 590, 719, 615, 2996, 685, 7287, 547, 4365, 519, 15420, 540, 519, 2025, 1032, 543, 4434, 883, 519, 1007, 609, 1732, 9939, 563, 276, 269, 7756, 855, 8449, 8949, 2947, 1922, 8816, 911, 903, 454, 15862, 5491, 281, 7711, 651, 558, 583, 280, 1839, 454, 26668, 1922, 8816, 911, 903, 616, 513, 1455, 8289, 593, 519, 5621, 1513, 540, 19176, 10820, 1282, 570, 17554, 379, 339, 16873, 269, 589, 26745, 5161, 540, 2947, 5613, 540, 1114, 4778, 267, 1129, 4328, 519, 1920, 779, 7287, 585, 519, 1007, 1032, 563, 288, 4829, 26745, 538, 519, 5087, 3335, 2934, 19337, 267, 18812, 325, 21209, 267, 24453, 267, 1086, 9404, 976, 267, 8126, 518, 1149, 267, 737, 636, 638, 1846, 267, 610, 533, 8986, 563, 1432, 596, 2356, 1294, 593, 519, 4829, 26745, 540, 513, 8828, 1920, 2882, 9279, 517, 7491, 267, 5283, 976, 267, 13099, 11535, 267, 27335, 267, 543, 4453, 338, 563, 15862, 5491, 281, 7711, 335, 665, 1695, 2632, 553, 318, 653, 454, 306, 719, 615, 2996, 723, 513, 4356, 540, 9319, 1210, 8286, 610, 5613, 602, 3280, 2147, 547, 1913, 609, 2942, 25664, 725, 269, 1280, 1383, 267, 590, 719, 615, 2996, 1810, 1406, 2322, 20397, 593, 741, 911, 903, 1317, 519, 2262, 585, 20397, 630, 32627, 12782, 495, 328, 264, 4992, 2147, 547, 669, 14243, 328, 562, 327, 12782, 356, 328, 267, 2495, 14286, 269, 17368, 615, 2996, 267, 593, 519, 824, 1688, 267, 4225, 11093, 513, 19337, 593, 519, 26745, 1317, 922, 17208, 7475, 2099, 4027, 543, 5430, 1465, 563, 277, 269, 7756, 570, 17554, 379, 339, 13121, 543, 1810, 685, 1206, 547, 2327, 1434, 9939, 454, 15862, 5491, 281, 1990, 345, 10212, 6230, 580, 698, 454, 301, 677, 615, 2996, 4043, 547, 581, 1360, 16496, 827, 519, 1101, 1268, 547, 4283, 741, 5321, 593, 519, 1101, 1554, 540, 519, 1032, 269, 634, 835, 2808, 5078, 547, 4283, 519, 2777, 1590, 581, 15095, 609, 519, 1753, 26782, 538, 2474, 540, 4332, 7389, 543, 1990, 31821, 4191, 267, 543, 1590, 711, 581, 2469, 998, 1022, 31366, 1974, 563, 15862, 5491, 281, 7711, 577, 1731, 2129, 727, 318, 833, 320, 454, 16449, 824, 1919, 547, 2057, 2882, 2921, 856, 519, 17885, 267, 799, 568, 2808, 513, 2530, 540, 2724, 543, 2640, 269, 27915, 3349, 2264, 568, 849, 9184, 5622, 1317, 621, 23327, 9668, 563, 24916, 267, 1004, 616, 849, 15695, 1996, 23831, 3595, 547, 2576, 3116, 547, 2057, 9688, 532, 741, 9939, 267, 543, 849, 9319, 23831, 1866, 1216, 267, 799, 568, 513, 3090, 540, 13884, 563, 15862, 5491, 281, 7711, 331, 329, 333, 5652, 454, 306, 719, 615, 2996, 3494, 602, 9561, 2156, 558, 560, 6506, 593, 519, 1101, 1554, 540, 519, 1007, 1032, 786, 1267, 538, 7928, 2638, 15564, 676, 555, 773, 1407, 538, 741, 5321, 269, 4935, 267, 590, 719, 615, 2996, 723, 1305, 513, 4341, 540, 8380, 2476, 2156, 558, 560, 6506, 538, 513, 17956, 1747, 1318, 1310, 840, 6874, 17554, 379, 339, 7738, 563, 278, 269, 11370, 3539, 5810, 689, 21527, 538, 519, 5087, 543, 6990, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 332, 559, 643, 16695, 454, 295, 8457, 328, 568, 835, 540, 519, 1906, 4025, 538, 10476, 1141, 596, 1869, 1294, 7899, 540, 8768, 21527, 2267, 2358, 519, 2749, 593, 30158, 547, 6133, 4195, 5810, 563, 15862, 5491, 281, 7711, 874, 520, 5611, 272, 454, 2690, 713, 2601, 267, 1034, 670, 8457, 2103, 1810, 1406, 979, 547, 8768, 6990, 610, 8768, 15945, 547, 4444, 5810, 585, 570, 17554, 379, 339, 16873, 269, 2353, 789, 723, 547, 798, 568, 547, 7227, 2394, 513, 4351, 8768, 29449, 10596, 676, 547, 6718, 5810, 610, 979, 547, 1022, 4351, 8265, 8768, 21527, 7404, 563, 288, 8768, 588, 718, 538, 14208, 774, 328, 19109, 10369, 454, 15862, 5491, 281, 7711, 323, 1014, 5976, 331, 913, 454, 306, 320, 580, 517, 7264, 267, 593, 519, 14669, 267, 2356, 979, 547, 6990, 6131, 547, 5810, 585, 570, 17554, 379, 339, 5810, 543, 2371, 269, 7324, 519, 1034, 4749, 10272, 8768, 6990, 1851, 15223, 580, 517, 7264, 1331, 14208, 774, 328, 19109, 10369, 538, 10588, 476, 1015, 543, 12456, 7354, 10369, 538, 10588, 476, 1556, 563, 279, 269, 7756, 16131, 585, 10707, 543, 9683, 14077, 454, 15862, 5491, 281, 7711, 328, 269, 2459, 6590, 454, 1805, 10107, 547, 2199, 2245, 267, 17368, 615, 2996, 4043, 547, 4142, 6510, 519, 476, 272, 560, 543, 476, 274, 6113, 2395, 540, 519, 1007, 1032, 547, 9683, 2673, 14077, 563, 15862, 5491, 281, 7711, 277, 684, 14673, 657, 454, 2690, 713, 2601, 267, 1034, 10754, 538, 519, 5087, 616, 1419, 8900, 593, 519, 1101, 1554, 540, 519, 1007, 1032, 563, 15862, 5491, 281, 7711, 5658, 639, 342, 1074, 2401, 454, 7197, 590, 719, 615, 2996, 267, 2705, 267, 26600, 547, 519, 10754, 547, 4497, 538, 30018, 570, 17554, 379, 339, 2238, 610, 2951, 547, 824, 4025, 1318, 593, 519, 476, 272, 560, 1554, 540, 519, 1032, 269, 2755, 519, 4272, 2218, 642, 32079, 1869, 11579, 6233, 519, 5087, 2394, 519, 476, 278, 628, 610, 519, 476, 1015, 628, 1554, 267, 8828, 4872, 616, 2907, 13059, 547, 3339, 1097, 676, 1287, 563, 4407, 17368, 615, 2996, 1294, 570, 17554, 379, 339, 607, 811, 540, 513, 16601, 2686, 11812, 267, 590, 719, 615, 2996, 1294, 519, 9702, 17033, 607, 606, 8317, 547, 7938, 785, 1354, 13059, 547, 960, 269, 4935, 267, 1034, 1004, 543, 3028, 24284, 538, 519, 3162, 16056, 960, 1310, 519, 570, 17554, 379, 339, 9702, 1896, 2395, 19692, 982, 1346, 538, 519, 3345, 563, 307, 17554, 379, 339, 16873, 538, 8832, 543, 8828, 10476, 454, 763, 2081, 19176, 2066, 519, 2197, 8661, 519, 30803, 1715, 5729, 9702, 949, 1413, 2147, 693, 1101, 8289, 269, 1717, 267, 972, 616, 1869, 1919, 602, 1305, 17368, 615, 2996, 543, 590, 719, 615, 2996, 685, 570, 17554, 379, 339, 16873, 6306, 563, 9827, 2638, 856, 912, 268, 476, 1321, 669, 545, 543, 3158, 22190, 28508, 513, 334, 546, 2967, 585, 513, 1350, 600 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3564, 6071, 12716, 12257, 269, 1358, 2813, 6198, 3615, 8151, 689, 19297, 543, 2835, 547, 11647, 543, 11265, 3889, 267, 20747, 2590, 519, 6302, 1063, 5386, 1148, 543, 1374, 780, 4089, 476, 274, 281, 27505, 1359, 20472, 22999, 20551, 454, 15703, 5075, 2456, 22755, 519, 3350, 4464, 267, 1851, 7247, 941, 32157, 570, 520, 4802, 267, 12138, 14339, 7770, 14150, 267, 543, 9149, 889, 990, 7377, 13960, 780, 309, 19921, 25504, 570, 520, 4802, 630, 6642, 276, 1700, 4198, 274, 2567, 19612, 585, 1010, 11599, 31790, 547, 519, 12059, 4139, 630, 307, 520, 4802, 781, 18975, 1070, 570, 520, 4802, 19424, 539, 513, 26009, 2497, 7768, 7357, 540, 5374, 543, 4837, 269, 4014, 2760, 7691, 1813, 547, 6639, 7687, 267, 519, 1788, 22993, 20472, 13659, 781, 7029, 547, 10342, 543, 5499, 946, 540, 2326, 780, 20694, 6387, 14339, 7770, 14150, 630, 6245, 272, 1700, 4198, 277, 2567, 1323, 9565, 4137, 945, 8329, 3648, 547, 10344, 267, 8642, 1374, 267, 543, 7206, 267, 14339, 7770, 14150, 8268, 6422, 5380, 543, 8901, 3347, 269, 3571, 960, 1419, 11368, 2584, 558, 2632, 720, 2553, 267, 9256, 19635, 2592, 547, 1711, 3532, 3308, 6386, 602, 10630, 4207, 1272, 780, 30537, 889, 990, 7377, 13960, 630, 6642, 280, 1700, 4572, 275, 2567, 6271, 7986, 4775, 7376, 2404, 609, 20472, 13659, 267, 7377, 13960, 3812, 10367, 267, 20955, 267, 543, 3942, 6272, 6353, 676, 12050, 4778, 543, 11495, 22762, 1845, 269, 2701, 2663, 17146, 1200, 1445, 2509, 4853, 2504, 2409, 267, 8888, 10097, 7622, 3688, 5921, 585, 2527, 4616, 780, 4089, 476, 275, 281, 22684, 543, 22627, 547, 7351, 12367, 454, 8601, 6849, 4013, 7106, 549, 1998, 1282, 9478, 23237, 781, 12512, 267, 20472, 13659, 2451, 606, 30170, 1665, 593, 7766, 1148, 5322, 5001, 269, 4706, 8561, 593, 6101, 5647, 6766, 645, 879, 27346, 9858, 267, 1546, 853, 6359, 331, 26719, 267, 543, 1977, 17593, 20309, 1235, 7567, 269, 5047, 267, 4207, 5159, 3136, 547, 20920, 609, 2055, 4478, 1599, 543, 1570, 640, 1107, 4798, 3844, 547, 20472, 22999, 16809, 780, 288, 8037, 1383, 666, 581, 2938, 538, 20673, 25504, 22503, 341, 747, 781, 29653, 3084, 3961, 5018, 693, 519, 4098, 540, 713, 2376, 269, 22503, 341, 747, 267, 2808, 513, 22082, 540, 10016, 516, 3901, 1143, 630, 534, 1055, 3333, 2393, 540, 20472, 13659, 1070, 2047, 5532, 1010, 7499, 1646, 547, 1010, 21977, 6561, 269, 8616, 267, 1082, 5238, 30387, 1864, 607, 834, 305, 11701, 2437, 31328, 20887, 827, 519, 8129, 540, 1285, 656, 3766, 31938, 1148, 538, 8109, 2342, 780, 6962, 912, 1607, 3184, 814, 25139, 875, 20472, 13659, 7153, 607, 513, 12316, 3196, 538, 6739, 543, 8168, 1148, 267, 18534, 12686, 2757, 12331, 540, 6041, 998, 922, 1202, 14571, 593, 1570, 640, 267, 12166, 27727, 267, 543, 10342, 269, 3414, 2502, 609, 25761, 5515, 899, 570, 520, 4802, 267, 14339, 7770, 14150, 267, 543, 7377, 13960, 267, 649, 723, 14360, 519, 3350, 781, 1764, 593, 2518, 1148, 2853, 543, 8947, 5571, 9840, 7282, 2686, 9163, 269, 11086, 267, 4974, 20472, 13659, 3091, 3407, 4030, 883, 519, 16799, 1063, 6214, 267, 15312, 267, 543, 6848, 7004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13775, 676, 634, 4521, 11071, 4659, 454, 514, 29046, 2060, 454, 4002, 4989, 476, 1724, 267, 594, 1336, 8885, 9361, 538, 1250, 15678, 4055, 538, 700, 341, 643, 267, 12907, 267, 6947, 547, 2011, 986, 573, 32302, 979, 1055, 607, 594, 10692, 593, 513, 4395, 540, 1250, 1378, 538, 519, 21977, 2112, 1996, 6576, 563, 7069, 4395, 729, 9504, 563, 11854, 32496, 267, 594, 729, 32626, 936, 519, 1697, 3084, 32165, 585, 513, 812, 3957, 20673, 25504, 22503, 341, 747, 267, 513, 1582, 17393, 8282, 21977, 1285, 656, 3766, 31938, 7376, 4535, 538, 19109, 643, 547, 513, 14470, 4651, 543, 21977, 3993, 269, 4634, 1498, 22503, 341, 747, 630, 6942, 280, 268, 4350, 276, 264, 2047, 13615, 1010, 1378, 7499, 1646, 547, 1010, 21977, 1686, 538, 19701, 13366, 267, 1082, 540, 519, 1158, 779, 15882, 2221, 20866, 6003, 519, 7376, 607, 968, 305, 11701, 267, 12907, 23899, 3034, 7069, 6278, 609, 22503, 341, 747, 779, 9504, 2985, 3459, 1079, 2395, 2038, 267, 593, 4989, 476, 1556, 267, 950, 519, 1744, 27595, 5741, 267, 606, 3919, 594, 1071, 1922, 15903, 538, 476, 1708, 272, 267, 11540, 513, 7662, 517, 17749, 6998, 15882, 1472, 519, 1158, 267, 1519, 519, 7467, 540, 7073, 3203, 538, 1715, 3840, 267, 547, 9337, 22503, 341, 747, 779, 10297, 547, 8308, 2992, 1010, 21977, 3961, 269, 3776, 1064, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17746, 1192, 13659, 257, 607, 851, 540, 834, 11286, 1315, 6739, 1299, 8168, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 7111, 1977, 24285, 910, 29073, 540, 23008, 2065, 16844, 692, 5970, 596, 2479, 2219, 827, 875, 1082, 4654, 972, 616, 538, 519, 1158, 286, 9894, 596, 917, 602, 3345, 3013, 267, 1141, 649, 2661, 267, 568, 1753, 547, 513, 5318, 5044, 540, 4654, 286, 2368, 540, 891, 4654, 616, 9275, 676, 7111, 1977, 2950, 267, 945, 723, 5030, 1934, 585, 5215, 540, 1296, 1354, 3864, 13896, 8452, 269, 2913, 781, 1451, 811, 827, 891, 6909, 4654, 543, 519, 3401, 945, 10692, 2182, 547, 8190, 873, 2439, 299, 16722, 616, 811, 982, 1175, 1913, 282, 789, 3180, 2984, 267, 5389, 267, 543, 2189, 2081, 540, 7487, 519, 1158, 269, 5994, 952, 707, 1920, 12038, 1152, 835, 1893, 693, 1753, 267, 855, 1287, 941, 5143, 621, 729, 1996, 519, 1876, 547, 3717, 621, 3544, 256, 10251, 267, 713, 5949, 547, 1082, 7111, 4892, 950, 3864, 13896, 3357, 547, 3345, 3013, 269, 1358, 7142, 7111, 1453, 547, 7390, 27756, 3506, 543, 27052, 873, 585, 6340, 741, 5065, 4654, 269, 1306, 513, 1267, 267, 1082, 6805, 4654, 5176, 8709, 1639, 269, 30586, 267, 930, 12703, 2043, 11542, 909, 1996, 713, 21440, 269, 4653, 267, 1577, 781, 2743, 1614, 971, 12325, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 13246, 2986, 4325, 5474, 1656, 11572, 23779, 454, 15575, 1845, 899, 6792, 267, 30643, 267, 27816, 267, 30188, 267, 543, 24053, 3570, 5431, 782, 610, 1034, 7087, 4654, 5065, 547, 741, 9757, 2477, 267, 609, 30643, 543, 27816, 6173, 908, 782, 7087, 4654, 547, 4013, 1893, 4567, 2687, 547, 741, 1526, 4801, 269, 21896, 30896, 2199, 7087, 1893, 6284, 547, 519, 8257, 1377, 2687, 547, 519, 18207, 1014, 9139, 540, 476, 1960, 272, 269, 18831, 899, 4516, 267, 18335, 267, 543, 519, 2136, 2276, 1450, 741, 9757, 16899, 543, 2829, 547, 3313, 741, 1378, 1893, 6284, 4507, 269, 7087, 1893, 6284, 538, 8478, 568, 3908, 547, 741, 2199, 885, 563, 268, 25522, 2798, 2099, 12102, 1893, 4567, 269, 11572, 9988, 609, 4013, 1893, 4567, 616, 12006, 538, 12050, 563, 22139, 3013, 568, 8037, 585, 922, 10409, 4763, 267, 2523, 538, 4993, 269, 901, 1858, 814, 476, 1240, 1893, 3885, 16030, 476, 10619, 4654, 4586, 5194, 1858, 540, 9645, 4763, 5526, 547, 723, 13520, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30943, 1977, 24285, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4437, 7240, 1315, 2136, 2276, 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, 11930, 19884, 5811, 630, 29866, 264, 568, 513, 4922, 6444, 3797, 1031, 547, 948, 2043, 609, 20150, 25400, 13081, 630, 32359, 1070, 1851, 824, 11095, 4713, 269, 634, 3119, 3804, 540, 9474, 288, 568, 547, 12189, 2623, 998, 519, 8446, 543, 2079, 540, 922, 24970, 1027, 757, 543, 4539, 269, 901, 2963, 2861, 1935, 6212, 593, 5355, 13998, 1713, 5615, 971, 607, 2792, 267, 1565, 22026, 267, 543, 13916, 269, 1635, 8840, 1524, 1950, 4247, 883, 4130, 3334, 543, 17923, 2318, 5615, 267, 9474, 288, 6663, 547, 3895, 1279, 3856, 5578, 11601, 543, 7115, 780, 1103, 1931, 547, 4628, 1174, 519, 4644, 540, 9474, 288, 1369, 3782, 543, 2069, 5468, 267, 1577, 781, 2263, 930, 1883, 3741, 543, 2553, 2404, 609, 713, 9354, 6304, 269, 1452, 13654, 2609, 4196, 607, 519, 22449, 540, 3811, 9474, 288, 3292, 543, 666, 7494, 3986, 2949, 2298, 540, 1272, 585, 4299, 2043, 780, 272, 269, 15474, 22365, 7593, 281, 2311, 519, 4295, 540, 9474, 288, 6013, 519, 1523, 540, 2318, 15699, 910, 3246, 5551, 12587, 1739, 14909, 5615, 547, 2333, 741, 4908, 543, 7794, 5817, 12205, 269, 1280, 1383, 267, 950, 2324, 609, 513, 1126, 945, 9620, 609, 11913, 2792, 267, 7598, 513, 8007, 1062, 20314, 550, 2390, 2953, 6165, 540, 1893, 7512, 17279, 543, 27715, 540, 4633, 1983, 269, 3683, 942, 267, 5812, 3498, 540, 2318, 15699, 5012, 547, 9434, 9283, 538, 1585, 2127, 1519, 4081, 2773, 267, 1514, 4205, 267, 543, 1582, 13282, 5759, 563, 273, 269, 1744, 12686, 281, 9717, 602, 1082, 3077, 5615, 2154, 31278, 11144, 2509, 811, 4359, 2157, 267, 5935, 5713, 607, 606, 1898, 4480, 538, 13057, 6267, 2059, 713, 13374, 269, 3414, 20422, 4114, 574, 725, 1107, 7930, 2810, 6788, 1247, 4509, 3617, 15699, 16131, 1107, 9439, 7520, 2208, 538, 6988, 543, 30483, 540, 4121, 6114, 269, 769, 9759, 267, 5935, 2636, 585, 519, 9836, 2679, 540, 1007, 1983, 1759, 593, 4540, 21941, 267, 5807, 4797, 3356, 543, 9542, 2066, 3309, 8658, 563, 274, 269, 32653, 532, 281, 1677, 1489, 3355, 6278, 543, 4977, 11056, 540, 3209, 5615, 267, 20872, 2994, 1404, 513, 2629, 1909, 538, 21934, 13783, 1565, 2833, 269, 13689, 593, 1367, 15226, 12632, 267, 12987, 949, 1491, 1585, 3029, 8151, 689, 2168, 5583, 547, 3308, 10291, 610, 11913, 5528, 269, 19573, 531, 535, 8172, 540, 12987, 5849, 602, 6267, 8263, 3152, 5539, 585, 741, 3527, 267, 7551, 5009, 31633, 543, 5826, 540, 9715, 1983, 563, 275, 269, 4578, 14635, 543, 5811, 281, 1306, 513, 1239, 12454, 9015, 267, 9474, 288, 12346, 8185, 593, 5571, 6482, 543, 6268, 540, 2126, 4093, 269, 3590, 1738, 9477, 540, 4143, 4632, 6087, 19353, 547, 6895, 3356, 267, 4188, 6304, 4566, 607, 2877, 267, 543, 6542, 12170, 14496, 540, 8045, 5773, 269, 5047, 267, 6198, 2623, 10526, 630, 293, 289, 2026, 264, 2099, 2565, 2645, 538, 7114, 5817, 18144, 12044, 32277, 28922, 5615, 267, 22338, 519, 1259, 585, 6098, 543, 2500, 32598, 3646, 563, 276, 269, 19078, 19047, 281, 1520, 11447, 547, 3318, 4441, 543, 5683, 4808, 13054, 1776, 4909, 2460, 540, 9474, 288, 2259, 269, 31943, 619, 1590, 1193, 604, 541, 551, 823, 2686, 8417, 267, 2463, 7817, 13190, 267, 2226, 22637, 267, 543, 4497, 538, 6024, 3318, 1646, 2238, 269, 5015, 267, 3743, 2932, 9598, 919, 602, 3028, 7426, 2611, 21713, 1996, 1761, 1775, 520, 4088, 545, 2360, 31827, 689, 26516, 2942, 4539, 4611, 689, 1134, 268, 26074, 2943, 14605, 13401, 7459, 563, 277, 269, 7351, 12367, 543, 8892, 19648, 281, 10738, 519, 6626, 5251, 540, 3782, 543, 2069, 2533, 267, 6932, 3466, 20838, 519, 2956, 540, 2029, 5610, 543, 10531, 6044, 3358, 547, 2189, 15226, 4162, 269, 17791, 8234, 23857, 1631, 5512, 6552, 6765, 540, 9474, 288, 2533, 267, 9750, 10333, 585, 6917, 5095, 543, 4227, 7496, 13684, 676, 10923, 10148, 269, 3958, 267, 8441, 538, 5841, 4987, 543, 3684, 1565, 3180, 9153, 585, 7393, 10368, 6111, 543, 26655, 2963, 2861, 3375, 6194, 3157, 1369, 4791, 5468, 563, 278, 269, 7464, 21509, 6201, 281, 16792, 938, 7811, 1702, 3490, 547, 4052, 3871, 14550, 875, 9474, 288, 8309, 3648, 547, 4824, 1072, 543, 8516, 4093, 1851, 2043, 8995 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 4879, 849, 11117, 519, 3463, 540, 2916, 1689, 547, 7733, 543, 9265, 269, 0, 9915, 19781, 630, 298, 311, 3198, 264, 1107, 3047, 786, 723, 513, 2673, 7237, 609, 513, 1507, 20503, 13628, 563, 301, 3139, 476, 1708, 274, 645, 308, 267, 519, 4224, 568, 827, 519, 2450, 540, 513, 4216, 14903, 267, 2687, 547, 8331, 269, 898, 779, 6059, 547, 581, 827, 476, 1556, 3952, 543, 476, 2764, 3952, 2066, 267, 519, 2230, 8116, 1767, 563, 2691, 476, 1708, 274, 645, 308, 10596, 936, 519, 7013, 9133, 540, 3162, 3013, 693, 476, 277, 281, 2767, 533, 6230, 269, 595, 4306, 267, 621, 786, 581, 1152, 476, 273, 267, 1220, 5195, 1657, 519, 3047, 779, 2627, 2443, 610, 6251, 982, 930, 540, 519, 15408, 4867, 28835, 519, 4541, 563, 1805, 800, 5170, 2630, 912, 268, 19186, 340, 20960, 4302, 281, 19186, 340, 20960, 4302, 12543, 10480, 909, 609, 10256, 1835, 4770, 883, 3774, 14578, 454, 268, 1715, 6792, 281, 19248, 657, 1920, 21616, 609, 3668, 540, 3356, 593, 3106, 3800, 593, 19248, 657, 717, 5282, 15167, 454, 268, 5113, 281, 4024, 1715, 6792, 1294, 513, 2048, 338, 11170, 1782, 685, 5614, 543, 4832, 888, 268, 17235, 281, 654, 1551, 656, 856, 585, 4807, 15034, 540, 14124, 476, 2412, 6472, 538, 25708, 19186, 340, 20960, 4302, 454, 2467, 568, 1100, 1981, 602, 519, 20503, 18363, 3047, 267, 1577, 4805, 30286, 513, 3463, 547, 922, 1272, 13257, 267, 8331, 1028, 999, 269, 1403, 621, 1705, 4383, 547, 4283, 938, 5790, 267, 621, 1131, 968, 339, 1248, 883, 513, 3595, 4252, 892, 543, 2736, 6306, 267, 8331, 1767, 267, 543, 1507, 14368, 2572, 1131, 1287, 2887, 689, 519, 6607, 563, 1692, 666, 594, 1294, 519, 20503, 8429, 3047, 888, 1805, 1173, 1794, 619, 723, 741, 1655, 4960, 540, 7487, 519, 20503, 1780, 936, 3047, 593, 13628, 269, 22073, 693, 476, 272, 281, 1428, 533, 6230, 269, 595, 4306, 267, 519, 14044, 23571, 5741, 786, 2661, 3613, 3195, 519, 2673, 7237, 269, 634, 3028, 267, 3177, 676, 519, 13852, 520, 3700, 13562, 13929, 25076, 538, 7977, 267, 3096, 18951, 24985, 547, 13739, 1483, 6066, 2230, 11052, 2228, 563, 763, 20503, 729, 1152, 5063, 4362, 593, 3967, 269, 476, 2641, 676, 23153, 31485, 2637, 333, 611, 12011, 16907, 529, 990, 563, 5475, 519, 20503, 779, 6602, 267, 8331, 1031, 519, 27533, 1764, 9651, 4879, 1062, 547, 3313, 519, 3463, 519, 20503, 1223, 10460, 269, 634, 1062, 23607, 24551, 540, 14033, 3047, 27014, 630, 20911, 302, 264, 547, 3313, 1022, 1981, 547, 1272, 593, 3047, 563, 763, 1062, 3533, 10567, 513, 2282, 4413, 269, 0, 5970, 596, 2479, 9289, 1946, 930, 1004, 3100, 547, 2611, 9350, 538, 519, 3068, 540, 9568, 1247, 1866, 2408, 547, 2097, 3768, 821, 286, 634, 2626, 568, 6043, 269, 22990, 1304, 1004, 616, 2111, 547, 8415, 741, 1983, 543, 9342, 547, 11883, 543, 9156, 689, 2042, 543, 2591, 1247, 5329, 741, 3579, 950, 7680, 22303, 563, 2005, 781, 1480, 2470, 547, 5706, 1689, 734, 31860, 950, 621, 2501, 538, 519, 1106, 540, 14488, 610, 2591, 269, 10251, 267, 1689, 568, 17149, 267, 543, 3384, 519, 16023, 540, 6043, 2337, 721, 711, 1152, 7639, 1689, 267, 855, 849, 1451, 267, 1332, 267, 543, 8853, 538, 621, 269, 26504, 568, 519, 4390, 547, 11883, 609, 2566, 543, 14488, 269, 898, 2501, 689, 18468, 538, 3054, 543, 267, 693, 519, 1482, 942, 267, 538, 1945, 3677, 982, 3054, 269, 26504, 568, 711, 513, 16023, 602, 1004, 616, 4535, 609, 282, 621, 3322, 5615, 267, 4555, 267, 543, 3527, 602, 666, 581, 4121, 543, 2919, 538, 4896, 693, 1022, 3942, 538, 1272, 269, 1403, 789, 1616, 621, 563, 3086, 267, 811, 982, 2479, 267, 568, 513, 1390, 942, 547, 7794, 707, 6043, 1282, 519, 1699, 5046, 268, 866, 6855, 649, 2811, 782, 7680, 269, 1215, 616, 596, 12003, 609, 519, 1554, 547, 1554, 21500, 286, 3657, 596, 14221, 267, 7334, 286, 11565, 803, 1862, 28205, 616, 782, 3339, 4606, 855, 952, 596, 1616, 930, 2093, 593, 2081, 547, 1995, 2123, 2208, 998, 713, 942, 267, 1832, 593, 2542, 269, 898, 781, 849, 513, 8748, 942, 547, 4001, 707, 1453, 2635, 12003, 6208, 543, 594, 3513, 581, 4687, 1346, 14182, 563, 16100, 593, 519, 24761, 17121, 454, 27269, 950, 3983, 1919, 4755, 267, 649, 1205, 12758, 3206, 827, 2942, 4093, 269, 1284, 14578, 1589, 827, 1018, 649, 1223, 723, 2944, 8335, 538, 519, 2250, 267, 610, 875, 649, 616, 2469, 547, 3190, 909, 1586, 538, 519, 2104, 269, 1284, 15555, 3729, 593, 891, 2621, 267, 1317, 649, 19451, 569, 3494, 602, 3206, 827, 938, 23434, 936, 543, 936, 1586, 786, 948, 721, 4194, 873, 269, 10251, 267, 2942, 2219, 9979, 1175, 1205, 721, 9575, 909, 538, 938, 4555, 267, 3079, 540, 2921, 519, 3527, 649, 991, 547, 1847, 4464, 269, 1924, 1862, 2280, 781, 1376, 676, 556, 2914, 3931, 875, 649, 1589, 827, 1919, 269, 1879, 1945, 10779, 25106, 4386, 282, 1491, 519, 942, 547, 1589, 827, 1018, 596, 1223, 723, 2944, 8335, 543, 1287, 1589, 540, 1018, 2318, 1491, 12537, 596, 723, 689, 602, 3510, 269, 6884, 596, 1810, 1405, 2141, 917, 713, 1318, 2476, 855, 1964, 21407, 267, 972, 568, 2495, 538, 3388, 543, 835, 1554, 596, 786, 1294, 834, 25585, 257, 596, 28815, 1018, 596, 723, 2059, 707, 3460, 563, 19013, 267, 1082, 540, 721, 2057, 5821, 693, 782, 3790, 269, 1284, 798, 865, 267, 1317, 649, 616, 12922, 540, 5821, 282, 649, 5855, 602, 1004, 786, 1589, 14605, 540, 721, 952, 649, 3111, 267, 543, 649, 1745, 11849, 3139, 950, 649, 3111, 269, 1809, 676, 8156, 5821, 899, 513, 2068, 547, 581, 14284, 267, 649, 2760, 2285, 6000, 513, 4960, 547, 7753, 2591, 543, 2259, 6043, 269, 1306, 513, 1267, 267, 649, 2061, 6000, 689, 4742, 811, 14388, 269, 1924, 875, 798, 596, 20630, 707, 4250, 540, 5821, 267, 865, 602, 596, 666, 1376, 2679, 6043, 286, 1403, 596, 1589, 5821, 568, 513, 3463, 267, 899, 1082, 540, 721, 798, 267, 707, 1560, 786, 5965, 585, 513, 4339, 2443, 543, 596, 3580, 1745, 899, 596, 2461, 538, 513, 6370, 269, 5502, 267, 3442, 547, 2070, 621, 607, 513, 4161, 543, 594, 914, 596, 2811, 811, 2693, 547, 1589, 596, 616, 5827, 540, 7829, 621, 269, 1280, 782, 1250, 834, 1692, 594, 5450, 2659, 12624, 257, 11655, 1862, 1589, 540, 621, 607, 267, 834, 577, 718, 3188, 7608, 1701, 1677, 1628, 713, 968, 577, 718, 3188, 14820, 2223, 2992, 593, 2250, 2591, 602, 596, 4076, 7753, 269, 6875, 513, 4090, 547, 1589, 1394, 547, 824, 3853, 596, 4076, 6913, 269, 3816, 785, 3054, 602, 596, 723, 1044, 3811, 693, 1919, 538, 519, 2250, 267, 1256, 1507, 1919, 269, 1879, 596, 7618, 3054, 602, 596, 723, 16309, 1354, 267, 596, 666, 948, 6521, 2509, 513, 4161, 14820, 269, 8921, 267, 14650, 1967, 269, 1635, 31935, 3054, 3257, 1134, 267, 596, 6521, 707, 14820, 547, 798, 1134, 269, 2201, 519, 824, 1688, 267, 952, 596, 6360, 707, 2247, 827, 1018, 1223, 979, 4636, 267, 707, 4250, 13976, 267, 543, 519, 5821, 596, 4250, 3587, 811, 2693, 269, 5901, 538, 2247, 602, 1256, 952, 596, 616, 2111, 547, 6521, 707, 2634, 547, 3247, 7487, 1945, 607, 513, 3463, 267, 596, 949, 1745, 8401, 1145, 610, 4160, 267, 855, 596, 3513, 849, 1995, 2318, 12214, 2242, 602, 666, 948, 596, 1118, 1732, 946, 540, 891, 2942, 4664, 454, 8340, 519, 10025, 538, 12815, 454, 10673, 1405, 2119, 547, 4194, 2042, 609, 519, 1482, 3206, 602, 2813, 873, 563, 4910, 559, 1304, 1004, 798, 711, 1118, 519, 1482, 12161, 1586, 543, 1586, 269, 1358, 2811, 8348, 547, 581, 9237, 827, 1946, 789, 8959, 543, 789, 1491, 519, 942, 547, 1589, 827, 1018, 4769, 1405, 960, 563, 1607, 1932, 4927, 10426, 454, 9596, 547, 1852, 707, 4664, 1354, 789, 4383, 596, 269, 11565, 803, 267, 713, 568, 4443, 1767, 982, 2944, 267, 4947, 689, 2576, 945, 31273, 1200, 4664, 593, 1200, 19492, 1407, 269, 22990, 1304, 1004, 723, 513, 2318, 19773, 269, 1358, 7618, 2933, 602, 1454, 540, 1018, 789, 2811, 6849, 568, 10151, 267, 543, 602, 789, 4312, 7753, 22303, 1354, 543, 666, 798, 621, 1586, 269, 22990, 1304, 1004, 1451, 1445, 593, 1018, 789, 666, 1451, 689, 519, 1995, 5288, 4730, 519, 267, 834, 342, 4141, 568, 803, 4799, 7437, 1250, 2123, 23434, 267, 1250, 3214, 723, 14754, 0, 2026, 596, 723, 4440, 8068, 267, 2899, 519, 9702, 4005, 20061, 1472, 267, 2736, 8083, 543, 824, 2960, 2175, 6430, 547, 1118, 606, 7938, 4372, 5920, 269, 898, 568, 1100, 9114, 602, 519, 14812, 666, 9594, 2960, 2175, 543, 1118, 27506, 13522, 8338, 1813, 547, 519, 4365, 267, 2566, 267, 782, 519, 30018, 3536, 267, 711, 547, 2446, 519, 1249, 602, 1004, 1419, 7340, 547, 1491, 1416, 540, 741, 2960, 538, 519, 554, 755, 548, 543, 11861, 548, 540, 519, 4005, 563, 3963, 1684, 519, 32733, 5269, 16164, 17148, 1937, 572, 286, 29804, 6118, 2566, 12153, 2960, 2175, 1317, 707, 1560, 7472, 23280, 267, 513, 9449, 602, 2306, 707, 2960, 811, 522, 1176, 950, 596, 616, 14129, 269, 272, 3776, 1360, 1378, 14468, 17172, 6048, 3220, 269, 12984, 572, 325, 11840, 919, 513, 2370, 811, 593, 930, 540, 519, 1455, 2960, 2175, 15427, 676, 9702, 2566, 563, 31319, 22915, 31319, 22915, 267, 849, 5219, 547, 607, 693, 8084, 27150, 267, 568, 513, 2960, 2783, 602, 3123, 3819, 267, 2699, 267, 543, 28349, 2960, 269, 898, 568, 1034, 4122, 1336, 538, 1453, 855, 4079, 5749, 1406, 4761, 547, 621, 2901, 269, 273, 8278, 22915, 568, 835, 540, 519, 1034, 1455, 2960, 2175, 15427, 676, 9702, 2566, 269, 1403, 596, 723, 26253, 267, 621, 568, 1271, 547, 2611, 17159, 1282, 519, 14812, 538, 2489, 543, 2057, 6464, 602, 22652, 2589, 269, 15742, 30143, 267, 28052, 757, 543, 865, 2355, 798, 1404, 513, 2462, 851, 538, 27506, 13522, 865, 621, 568, 1655, 547, 2057, 873, 1282, 519, 9702, 4005, 269, 1403, 596, 2461, 9702, 10516, 10918, 585, 2576, 609, 26253, 267, 621, 568, 1655, 547, 2057, 1022, 2960, 2472, 610, 6464, 1317, 596, 2760, 917, 1018, 666, 2014, 513, 27506, 5346, 269, 5502, 267, 596, 666, 6529, 547, 3688, 1644, 547, 2238, 789, 949, 899, 971, 607, 2835, 267, 9413, 267, 610, 3756, 269, 1411, 1223, 849, 5614, 585, 606, 2011, 1625, 8595, 789, 1223, 946, 693, 1753, 547, 844, 749, 519, 7872, 540, 27506, 13522, 563, 295, 1161, 295, 1161, 267, 610, 2712, 6776, 7559, 267, 568, 606, 12176, 540, 22224, 12779, 2699, 27894, 610, 29693, 13196, 630, 20253, 1023, 264, 593, 519, 2960, 602, 2408, 10393, 1813, 547, 606, 13027, 5114, 610, 824, 7164, 4128, 269, 273, 4014, 1034, 1004, 2736, 856, 538, 32105, 1317, 540, 606, 14711, 267, 621, 666, 849, 2049, 950, 1004, 616, 14221, 543, 14129, 269, 634, 1655, 1259, 547, 2057, 513, 27506, 5346, 540, 32105, 1282, 519, 14812, 568, 547, 2611, 9350, 543, 1832, 707, 4160, 693, 15922, 269, 8347, 2921, 2620, 24967, 543, 15395, 942, 585, 3054, 952, 596, 616, 4743, 519, 2604, 540, 519, 9702, 4005, 269, 1403, 707, 32105, 1810, 1406, 1016, 2515, 267, 5077, 513, 2564, 3318, 693, 606, 14849, 1416, 4099, 610, 6595, 4055, 538, 2013, 540, 6595, 610, 1118, 606, 13393, 609, 513, 2564, 17172, 1108, 4099, 563, 305, 657, 25445, 305, 657, 25445, 568, 513, 1360, 1455, 2960, 2783, 23401, 18383, 602, 3123, 707, 3068, 547, 2408, 2699, 543, 6140, 5540, 3043, 267, 1647, 27070, 2021, 269, 589, 887, 338, 25445, 27506, 5346, 568, 1360, 1455, 1282, 519, 9702, 1317, 540, 2566, 543, 4160, 269, 901, 2960, 2783, 15427, 676, 9702, 2566, 786, 22009, 950, 513, 1268, 568, 13347, 543, 14221, 269, 898, 779, 1271, 547, 1174, 707, 887, 338, 25445, 543, 519, 1919, 602, 2014, 621, 607, 1134, 607, 875, 547, 5265, 1521, 2589, 865, 596, 666, 2972, 519, 9702, 4005, 563, 1692, 547, 16473, 16164, 17148, 17832, 13499, 676, 31054, 13262, 763, 1655, 3364, 596, 666, 798, 568, 6001, 543, 2972, 519, 4005, 269, 5213, 1406, 21467, 868, 754, 3054, 1100, 2339, 875, 1082, 9702, 6105, 610, 1920, 19771, 596, 2461, 14376, 547, 269, 1403, 2589, 585, 707, 2960, 2175, 1810, 1406, 2087, 267, 8430, 513, 15360, 609, 513, 17172, 6048, 538, 645, 10087, 13158, 517, 547, 2327, 596, 2461, 782, 1305, 585, 513, 2566, 6954, 9702, 609, 2312, 2960, 563, 268, 5680, 13270, 1107, 12186, 540, 13262, 593, 2659, 16164, 454 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2899, 11542, 267, 1200, 4651, 14393, 1529, 3585, 1336, 741, 7674, 12826, 4628, 16856, 269, 901, 10347, 267, 3039, 267, 6978, 11057, 12826, 630, 6518, 2899, 4371, 741, 3232, 6980, 264, 1631, 6585, 8823, 540, 519, 2250, 543, 5713, 607, 513, 6077, 540, 4126, 267, 4708, 267, 543, 1007, 5389, 585, 590, 778, 27323, 543, 519, 17005, 2818, 540, 1200, 1920, 563, 21202, 30558, 9509, 540, 13458, 281, 589, 6936, 9452, 257, 676, 2278, 5516, 333, 853, 15625, 543, 3879, 15249, 13019, 4275, 918, 639, 10440, 568, 513, 7184, 3001, 15923, 4605, 1433, 9306, 590, 778, 27323, 962, 553, 14241, 781, 3020, 1272, 1650, 540, 17005, 519, 10570, 26645, 540, 18491, 30245, 538, 2622, 20613, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5472, 28375, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16610, 1315, 16319, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 815, 476, 272, 20728, 346, 267, 6525, 543, 3230, 325, 3709, 333, 1341, 476, 273, 348, 815, 535, 3709, 333, 1341, 476, 272, 348, 1341, 535, 5332, 2330, 585, 3230, 333, 1422, 514, 11513, 13992, 715, 4153, 3667, 346, 269, 15732, 272, 269, 28171, 602, 3230, 325, 5332, 1422, 2741, 476, 273, 18898, 20728, 346, 269, 15732, 273, 269, 28171, 602, 3230, 325, 3709, 333, 1341, 476, 272, 348, 535, 3709, 333, 910, 476, 272, 348, 815, 535, 317, 273, 5332, 1341, 11196, 272, 8203, 333, 20728, 346, 267, 6525, 3230, 333, 1422, 28254, 476, 273, 20728, 346, 269, 15732, 274, 269, 28171, 602, 3230, 325, 5332, 815, 27883, 272, 1341, 1422, 6912, 346, 276, 4153, 267, 3738, 317, 333, 910, 630, 272, 910, 1422, 6912, 346, 276, 4153, 267, 3738, 317, 333, 316, 270, 476, 273, 18898, 1422, 6912, 346, 276, 4153, 3667, 346, 269, 15732, 275, 269, 8058, 602, 6695, 12978, 815, 1422, 3916, 3709, 333, 1422, 21375, 1422, 13727, 348, 535, 3709, 333, 1341, 476, 272, 348, 1315, 535, 5332, 815, 22570, 6912, 346, 276, 348, 1341, 476, 272, 8358, 273, 20728, 346, 269, 6525, 634, 3586, 6695, 12978, 2330, 568, 1634, 607, 519, 11344, 5223, 780, 276, 269, 28171, 602, 3230, 325, 5332, 2330, 543, 3230, 325, 3709, 333, 1341, 476, 272, 6525, 616, 5266, 6305, 780, 30607, 476, 1240, 780, 4131, 3230, 320, 2330, 543, 3230, 321, 2330, 581, 9981, 971, 602, 6695, 326, 7251, 5416, 14720, 264, 815, 476, 272, 20728, 346, 269, 6525, 2913, 3230, 337, 2330, 543, 3230, 338, 2330, 581, 9981, 971, 602, 3230, 541, 1341, 536, 338, 815, 476, 272, 20728, 346, 269, 6525, 28171, 602, 692, 17961, 346, 3225, 566, 15857, 1422, 326, 7251, 5416, 29679, 264, 815, 1422, 326, 7251, 16868, 14720, 264, 815, 1422, 326, 7251, 16868, 29679, 264, 815, 476, 272, 20728, 346, 269, 348, 1422, 754, 346, 3225, 566, 265, 8679, 30607, 476, 866, 780, 4131, 3230, 343, 267, 586, 1422, 514, 11513, 13992, 715, 6525, 581, 5266, 6305, 269, 1403, 3230, 15383, 2330, 568, 513, 3501, 4009, 267, 6961, 602, 3230, 343, 2330, 543, 3230, 344, 2330, 1590, 1312, 581, 3501, 10945, 780, 30607, 476, 736, 780, 8794, 519, 6498, 5690, 267, 1397, 602, 1169, 3501, 4009, 568, 540, 519, 1106, 3230, 275, 330, 2330, 610, 3230, 275, 330, 1341, 476, 272, 2330, 585, 930, 1875, 17463, 8870, 3230, 330, 20728, 346, 269, 15732, 30607, 476, 2641, 780, 22428, 602, 3230, 320, 267, 536, 267, 678, 267, 521, 2330, 616, 6292, 3772, 5266, 6305, 543, 602, 692, 17961, 9387, 15857, 513, 317, 273, 1341, 536, 317, 273, 1299, 815, 678, 317, 273, 11138, 513, 317, 273, 910, 536, 317, 273, 1299, 815, 521, 317, 273, 20728, 346, 269, 348, 1422, 754, 9387, 265, 10926, 3682, 557, 602, 3230, 320, 20728, 346, 267, 6525, 3230, 337, 20728, 346, 267, 6525, 543, 3230, 338, 2330, 616, 9642, 543, 3230, 321, 2330, 568, 1256, 780, 30607, 476, 2420, 780, 4131, 3230, 333, 1422, 514, 11513, 13992, 715, 4153, 3667, 346, 269, 6525, 2422, 519, 6498, 5690, 547, 6961, 602, 1169, 8870, 568, 21412, 1110, 3230, 333, 2330, 547, 10502, 835, 540, 519, 9981, 3230, 271, 267, 476, 272, 267, 1422, 24126, 267, 562, 268, 272, 20728, 346, 269, 6525, 1230, 2850, 602, 952, 3230, 337, 2330, 568, 606, 8870, 267, 1287, 972, 568, 4010, 835, 3230, 338, 2330, 538, 3230, 3189, 13992, 2098, 6525, 971, 602, 3230, 271, 1422, 19008, 521, 1422, 2741, 562, 2330, 543, 3230, 314, 337, 316, 815, 1496, 338, 316, 315, 3667, 346, 269, 6525, 9747, 267, 519, 9981, 616, 8197, 15652, 539, 676, 17602, 775, 1110, 3230, 333, 20728, 346, 269, 15732, 30607, 476, 2537, 780, 31711, 519, 2547, 1455, 2789, 540, 1079, 1875, 14706, 9981, 3230, 320, 2330, 543, 3230, 321, 20728, 346, 267, 6525, 20922, 676, 6695, 331, 9492, 5416, 14720, 9385, 3667, 346, 267, 6525, 547, 581, 519, 1875, 17463, 8870, 3230, 332, 2330, 971, 602, 1312, 3230, 320, 2330, 543, 3230, 321, 2330, 7941, 3230, 332, 20728, 346, 267, 6525, 543, 952, 3230, 320, 2330, 543, 3230, 321, 2330, 7941, 1022, 824, 8870, 3230, 333, 20728, 346, 267, 6525, 1287, 3230, 332, 2330, 849, 17337, 3230, 333, 20728, 346, 269, 6525, 28171, 972, 6818, 513, 2189, 2547, 1455, 2789, 585, 1022, 1079, 9981, 3230, 320, 2330, 543, 3230, 321, 20728, 346, 269, 15732, 30607, 476, 2190, 780, 2252, 3230, 323, 284, 1422, 326, 7251, 5416, 267, 536, 14638, 543, 3230, 332, 815, 1422, 331, 9492, 5416, 267, 536, 9385, 3667, 346, 267, 6525, 6961, 602, 3230, 323, 332, 815, 1923, 629, 24689, 3667, 346, 269, 15732, 30607, 476, 1839, 780, 17004, 602, 6695, 331, 9492, 5416, 14720, 264, 815, 705, 2330, 952, 543, 1152, 952, 6695, 326, 7251, 5416, 14720, 264, 815, 476, 272, 20728, 346, 269, 15732, 30607, 476, 2918, 780, 3682, 557, 602, 6695, 326, 7251, 5416, 22698, 264, 815, 1422, 326, 7251, 6357, 22698, 264, 815, 272, 2330, 952, 543, 1152, 952, 6695, 326, 7251, 263, 629, 22698, 264, 815, 476, 272, 2330, 585, 9981, 3230, 320, 20728, 346, 267, 6525, 3230, 321, 20728, 346, 267, 6525, 543, 3230, 322, 20728, 346, 269, 15732, 30607, 476, 2767, 780, 4131, 3230, 320, 267, 536, 267, 524, 1422, 514, 11513, 13992, 2098, 4153, 3667, 346, 269, 6525, 28171, 602, 952, 6695, 326, 7251, 5416, 14720, 264, 815, 476, 272, 2330, 543, 3230, 320, 1422, 13232, 27652, 20728, 346, 267, 6525, 1287, 3230, 320, 1422, 13232, 524, 20728, 346, 269, 15732, 30607, 476, 2764, 780, 4131, 3230, 335, 1422, 28254, 476, 273, 20728, 346, 269, 6525, 28171, 602, 952, 3230, 273, 317, 335, 910, 476, 272, 2330, 568, 6305, 267, 1287, 3230, 335, 2330, 1590, 849, 581, 6305, 780, 30607, 476, 3066, 780, 3682, 557, 602, 972, 616, 606, 12808, 1297, 540, 22136, 540, 519, 1106, 3230, 277, 333, 1341, 476, 276, 20728, 346, 269, 15732, 30607, 476, 1789, 780, 3682, 557, 602, 972, 616, 606, 12808, 1297, 540, 22136, 540, 519, 1106, 3230, 275, 333, 910, 476, 272, 20728, 346, 269, 15732, 30607, 476, 4029, 780, 8794, 519, 1249, 602, 3230, 273, 2330, 568, 6305, 267, 1397, 602, 972, 798, 711, 2291, 9981, 3230, 335, 2330, 543, 3230, 336, 2330, 971, 602, 3230, 335, 317, 273, 815, 476, 273, 7117, 317, 273, 20728, 346, 269, 6525, 23227, 622, 602, 4061, 6695, 6912, 346, 273, 6525, 3112, 581, 513, 7787, 1297, 269, 0, 1001, 275, 268, 1321, 268, 1428, 307, 866, 281, 6349, 281, 4343, 268, 4962, 281, 876, 692, 1103, 513, 1318, 6906, 267, 596, 917, 835, 5086, 568, 476, 3445, 5232, 269, 4595, 972, 616, 476, 5197, 5232, 538, 513, 6906, 267, 602, 3762, 476, 3445, 5232, 585, 519, 824, 1079, 7285, 780, 2171, 1131, 2328, 834, 821, 5086, 568, 4557, 811, 982, 2185, 2053, 519, 824, 5086, 257, 607, 630, 275, 343, 1341, 476, 1015, 1040, 634, 824, 5086, 568, 3274, 1535, 269, 16816, 6320, 267, 519, 3830, 1131, 581, 476, 276, 343, 1341, 476, 1015, 815, 476, 3445, 692, 276, 343, 1341, 476, 1015, 815, 476, 3445, 692, 8138, 339, 847, 476, 1015, 689, 1312, 5011, 692, 276, 343, 815, 476, 3199, 692, 19667, 728, 1312, 5011, 676, 476, 276, 692, 343, 815, 476, 1626, 692, 3080, 5086, 1131, 581, 476, 1626, 5232, 267, 1109, 1492, 2034, 1109, 4120, 1131, 581, 476, 275, 263, 1626, 264, 1341, 476, 1015, 815, 476, 10619, 5232, 267, 543, 519, 3791, 1109, 263, 2431, 264, 5086, 568, 476, 3445, 5232, 269, 0, 258, 6641, 11496, 692, 1012, 30316, 22432, 281, 9119, 540, 519, 2598, 4740, 22263, 17992, 630, 5263, 307, 264, 910, 25840, 744, 269, 8055, 8633, 269, 6641, 11496, 692, 2005, 5526, 602, 596, 616, 1210, 1520, 289, 24286, 3301, 269, 634, 1942, 540, 4881, 713, 3896, 568, 4988, 676, 22099, 269, 1403, 596, 899, 621, 5225, 1745, 1863, 547, 513, 1507, 2179, 540, 2724, 547, 5150, 519, 2104, 540, 713, 3896, 780, 27237, 292, 281, 24199, 667, 8016, 9331, 7728, 4959, 744, 7034, 302, 4041, 15288, 267, 623, 4041, 17955, 595, 4047, 290, 298, 5990, 21832, 966, 8991, 12778, 281, 834, 12385, 24136, 540, 519, 2598, 4740, 22263, 17992, 630, 5263, 307, 1070, 609, 23866, 10241, 26905, 5822, 9990, 2580, 676, 25840, 744, 269, 8055, 8633, 267, 654, 274, 298, 14539, 267, 476, 1220, 278, 267, 9768, 476, 7818, 268, 271, 268, 9032, 275, 28794, 278, 268, 275, 268, 279, 269, 910, 14645, 9736, 476, 1001, 278, 268, 6021, 268, 2764, 676, 25840, 744, 269, 8055, 8633, 910, 4741, 585, 8950, 3194, 538, 8535, 543, 3600, 24065, 923, 630, 6717, 305, 7246, 1070, 18628, 2160, 692, 28843, 19881, 2985, 1109, 1109, 307, 8016, 1109, 1109, 18853, 13052, 1109, 1109, 9202, 2985, 23645, 692, 1012, 6641, 11496, 692, 1103, 519, 3105, 3296, 267, 649, 1336, 950, 568, 1483, 269, 901, 1249, 568, 540, 1164, 4052, 2956, 269, 898, 3081, 602, 519, 8552, 540, 1169, 1483, 5365, 568, 19555, 23790, 269, 9603, 547, 713, 15340, 267, 649, 949, 1167, 731, 782, 2942, 23151, 19706, 5439, 540, 513, 1483, 5365, 543, 16956, 4733, 873, 2663, 952, 2877, 689, 519, 2318, 23151, 5439, 269, 4746, 267, 19706, 13602, 540, 1483, 6786, 616, 7363, 10268, 1152, 585, 2318, 12451, 282, 552, 3052, 1421, 26034, 540, 25541, 6786, 616, 7363, 28367, 936, 519, 2039, 21636, 547, 21636, 269, 2201, 519, 824, 1688, 267, 519, 8552, 540, 513, 1950, 5365, 1590, 581, 3254, 267, 538, 2489, 267, 689, 547, 630, 528, 689, 547, 16532, 2094, 519, 2318, 543, 2942, 4908, 3334, 540, 513, 1950, 5365, 616, 4830, 780, 31628, 332, 281, 1403, 2073, 568, 1256, 543, 568, 9642, 780, 27893, 281, 901, 5205, 5612, 689, 519, 31669, 15340, 540, 585, 1483, 6786, 780, 31628, 332, 281, 1403, 2073, 568, 1256, 543, 568, 9642, 780, 27893, 281, 901, 5205, 5612, 689, 519, 31669, 15340, 540, 6829, 538, 8701, 1106, 16317, 763, 31669, 15340, 540, 26034, 540, 1483, 6786, 568, 5310, 519, 1034, 1271, 15340, 11532, 269, 1717, 267, 972, 616, 513, 1906, 811, 649, 666, 11593, 1397, 780, 31628, 332, 281, 1323, 1256, 5365, 814, 606, 1256, 2981, 1384, 27893, 281, 18124, 538, 2474, 540, 922, 1483, 543, 16494, 2694, 676, 1547, 8074, 602, 585, 513, 1950, 5365, 547, 581, 1256, 267, 1312, 922, 1483, 543, 16494, 2694, 1590, 581, 1256, 269, 3973, 692, 31628, 332, 281, 589, 1483, 1256, 5365, 814, 513, 1483, 1256, 2981, 1384, 27893, 281, 901, 5205, 5612, 689, 4259, 538, 519, 18631, 6169, 543, 7487, 602, 519, 667, 10499, 540, 513, 1483, 543, 1256, 1599, 6971, 547, 513, 1826, 540, 25482, 2981, 279, 269, 276, 10484, 528, 649, 666, 1397, 621, 2047, 1384, 14240, 281, 589, 5365, 609, 513, 1483, 8552, 630, 7945, 607, 513, 1483, 267, 1256, 5365, 264, 568, 1419, 1572, 513, 4642, 5123, 5365, 269, 1717, 267, 4063, 602, 950, 519, 8552, 4422, 2942, 630, 6518, 621, 666, 1070, 519, 5123, 568, 2731, 2073, 711, 1547, 11048, 267, 621, 568, 1455, 547, 1289, 971, 6786, 15234, 14706, 5123, 267, 15234, 1256, 1498, 519, 5123, 17176, 1063, 543, 693, 519, 4642, 2275, 1484, 902, 540, 519, 8552, 269, 6270, 4642, 2275, 1484, 902, 3335, 2049, 693, 1970, 17931, 538, 2259, 267, 971, 607, 538, 519, 15234, 338, 14988, 984, 525, 5257, 540, 519, 667, 307, 10499, 540, 606, 674, 10499, 6885, 780, 28843, 19881, 2985, 1109, 1109, 307, 8016, 1109, 1109, 18853, 13052, 1109, 1109, 9202, 2985, 23645, 0, 258, 13174, 3848, 476, 272, 7464, 10606, 4147, 476, 1015, 14330, 304, 2060, 12226, 692, 4322, 5999, 827, 519, 7464, 10606, 4147, 476, 1015, 5062, 336, 5999, 616, 2966, 593, 519, 4493, 540, 26257, 28924, 16086, 780, 6944, 757, 692, 1012, 4147, 476, 1015, 7464, 10606, 692, 16215, 476, 272, 1107, 7089, 3590, 2986, 4147, 476, 1015, 13174, 1230, 13935, 540, 1101, 3848, 2433, 7464, 10606, 769, 713, 3848, 14330, 304, 616, 1034, 1271, 269, 4706, 1271, 547, 917, 602, 21482, 573, 779, 10406, 19748, 2742, 814, 1044, 25216, 689, 519, 21038, 269, 1656, 519, 2055, 1759, 593, 968, 3682, 557, 2334, 1535, 568, 19450, 892, 971, 1826, 540, 2055, 814, 849, 1044, 6569, 689, 21038, 780, 2162, 7464, 10606, 4147, 476, 1015, 14330, 304, 692, 304, 272, 269, 6904, 835, 540, 519, 1739, 3830, 568, 3020, 585, 21482, 573, 779, 6498, 19748, 2742, 286, 630, 320, 815, 29435, 754, 2073, 536, 284, 6555, 529 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3571, 960, 7854, 539, 3875, 4610, 267, 1519, 7954, 267, 6128, 267, 21042, 12695, 267, 26381, 1108, 267, 7881, 267, 2069, 267, 6214, 267, 543, 4984, 269, 769, 1880, 267, 21651, 13084, 16845, 7787, 640, 543, 25949, 1247, 1814, 1172, 532, 2915, 3901, 1143, 267, 22530, 819, 267, 543, 22166, 780, 305, 639, 8688, 781, 1272, 729, 6825, 676, 1857, 15784, 1813, 547, 1010, 796, 2180, 13454, 5784, 267, 3226, 3823, 4984, 543, 4638, 13919, 269, 1452, 3344, 540, 1010, 2123, 4978, 6766, 1010, 3318, 960, 267, 1818, 1010, 26249, 2523, 4143, 547, 3695, 519, 4276, 1063, 15806, 262, 2729, 543, 741, 7214, 3977, 780, 9556, 2544, 476, 274, 281, 7335, 26450, 8681, 21651, 781, 834, 8505, 11893, 2762, 9899, 589, 6651, 692, 305, 639, 8688, 781, 834, 8505, 11893, 2762, 2437, 3370, 538, 1614, 12531, 630, 3422, 278, 268, 3422, 280, 1070, 6227, 1010, 1101, 17288, 1296, 538, 8101, 1469, 269, 898, 2488, 3407, 5813, 883, 1010, 909, 32523, 267, 2038, 4081, 18697, 267, 543, 1646, 607, 513, 14544, 269, 10801, 519, 1433, 267, 21651, 9356, 593, 1585, 24233, 2621, 602, 8329, 547, 5935, 1010, 4555, 543, 2418, 269, 1306, 596, 1224, 267, 2015, 519, 1739, 2055, 547, 948, 13865, 1125, 1010, 10952, 7158, 1384, 265, 1215, 1281, 21651, 4766, 1010, 3347, 609, 1920, 2818, 267, 3610, 267, 543, 9164, 286, 1548, 3310, 798, 789, 723, 593, 1010, 3206, 888, 265, 6904, 3140, 2621, 543, 2686, 5322, 3337, 21651, 781, 5133, 1282, 1114, 5712, 540, 1010, 1272, 888, 265, 1215, 1281, 21651, 2769, 1010, 9687, 3909, 4978, 2429, 519, 26249, 267, 543, 1018, 2188, 3565, 547, 1346, 2242, 888, 265, 10576, 8320, 1141, 21651, 12799, 13462, 1010, 2123, 2833, 547, 6626, 10952, 2152, 780, 9556, 2544, 476, 275, 281, 21651, 781, 8177, 593, 12634, 23539, 692, 6624, 540, 519, 3584, 9619, 538, 21651, 781, 834, 8505, 11893, 2762, 257, 2611, 3810, 22317, 2221, 269, 1280, 3236, 267, 1010, 14223, 585, 1863, 2648, 12544, 1523, 8508, 1875, 3405, 1388, 3023, 543, 15982, 3347, 1759, 593, 8994, 15754, 2864, 982, 3656, 11731, 1765, 13757, 4296, 609, 2413, 5717, 1472, 931, 839, 783, 1875, 3000, 690, 18081, 267, 4874, 600, 800, 267, 543, 4638, 19802, 269, 6684, 267, 1010, 18349, 540, 6896, 4984, 24889, 609, 4207, 9840, 7282, 16712, 1436, 267, 17035, 267, 543, 519, 9668, 540, 5939, 543, 1533, 780, 2026, 596, 4497, 609, 21651, 781, 26249, 267, 1491, 4063, 540, 1022, 19320, 1063, 1010, 2093, 543, 1459, 6377, 4145, 269, 6333, 1603, 513, 8086, 4062, 9236, 543, 17804, 707, 1378, 16752, 609, 21651, 781, 593, 1808, 5396, 5941, 538, 519, 1257, 780, 9556, 2544, 476, 276, 281, 5675, 2659, 13574, 11096, 9372, 781, 32532, 2762, 692, 5331, 3054, 607, 513, 7986, 14544, 10452, 2390, 707, 1272, 543, 4876, 269, 7994, 513, 1906, 11358, 8090, 689, 707, 1378, 1995, 602, 3648, 5483, 707, 10952, 18879, 610, 3366, 596, 547, 11654, 24243, 269, 3973, 267, 2328, 513, 2110, 17770, 7240, 17250, 6220, 891, 2621, 543, 7713, 875, 789, 9305, 547, 707, 7214, 2208, 269, 5457, 547, 9772, 513, 2239, 5639, 2147, 547, 21651, 781, 6596, 543, 2502, 3159, 780, 9961, 713, 3635, 267, 1832, 538, 2247, 602, 1169, 14544, 781, 3460, 568, 2189, 282, 3976, 267, 972, 1058, 581, 1100, 20772, 602, 707, 2619, 10502, 19141, 1346, 540, 1134, 8153, 5515, 899, 21651, 269, 5502, 267, 1445, 593, 13031, 519, 8076, 4720, 540, 707, 10952, 3961, 998, 9423, 780, 6962, 281, 4197, 11096, 14279, 3414, 4256, 22032, 692, 3528, 6313, 26450, 8681, 21651, 781, 834, 8505, 11893, 2762, 2437, 713, 1576, 1770, 6322, 547, 6542, 519, 2956, 540, 4974, 15806, 262, 2729, 950, 5275, 547, 1174, 741, 2093, 4628, 269, 1635, 9301, 519, 7096, 4296, 1063, 5030, 2833, 543, 10952, 1660, 902, 267, 596, 3986, 707, 2702, 547, 5660, 543, 16472, 3309, 16752, 269, 5015, 267, 2502, 609, 15806, 262, 17770, 13132, 2636, 596, 547, 14719, 622, 707, 1378, 10952, 18330, 267, 5807, 2565, 1582, 26190, 1898, 585, 7214, 2208, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3964, 2923, 4043, 547, 9446, 1864, 607, 835, 540, 519, 1390, 2387, 20459, 619, 685, 540, 519, 476, 736, 628, 2540, 543, 547, 930, 6708, 646, 729, 267, 855, 646, 729, 849, 513, 1883, 2054, 626, 585, 519, 7629, 6058, 10620, 269, 1133, 342, 9231, 569, 610, 711, 267, 21651, 5280, 2482, 519, 24536, 585, 1082, 540, 519, 16918, 779, 6272, 585, 519, 2063, 2540, 543, 3564, 269, 1323, 856, 4944, 7505, 19473, 626, 267, 21651, 1705, 1454, 547, 2442, 1125, 543, 3895, 19473, 1143, 538, 519, 476, 736, 628, 2540, 607, 646, 729, 519, 2278, 540, 811, 982, 24239, 2835, 543, 936, 1079, 8536, 4930, 269, 1656, 4352, 646, 568, 3622, 9833, 607, 513, 14544, 543, 4708, 5859, 518, 267, 1010, 2093, 827, 1312, 2486, 543, 519, 1367, 779, 1909, 1369, 621, 616, 11371, 1231, 1227, 28110, 4724, 2698, 23540, 267, 19163, 585, 513, 968, 27023, 881, 2486, 892, 543, 513, 968, 338, 17532, 18678, 1158, 2229, 892, 2111, 547, 17997, 4708, 269, 3509, 540, 2221, 779, 2042, 666, 581, 2404, 609, 1010, 7506, 971, 607, 281, 16377, 267, 15333, 4003, 267, 32270, 267, 1596, 4593, 8462, 267, 2551, 1852, 543, 6937, 540, 513, 835, 8996, 2229, 563, 1103, 1082, 2081, 267, 1018, 519, 2296, 2006, 26450, 8681, 21651, 11542, 585, 1347, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 3342, 14279, 262, 32532, 13132, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 4317, 12207, 1299, 5369, 5505, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5970, 596, 2479, 1336, 3054, 31325, 10145, 569, 693, 513, 6656, 540, 1957, 267, 18516, 540, 1141, 547, 1256, 2253, 1603, 286, 6787, 596, 2461, 4050, 940, 513, 6101, 4484, 610, 3478, 3860, 609, 30951, 267, 13215, 519, 1148, 540, 3625, 4484, 1603, 568, 513, 5578, 602, 1169, 14971, 5856, 1058, 4865, 269, 3245, 13167, 8903, 759, 6979, 547, 8888, 3750, 2275, 10248, 19297, 267, 3625, 5022, 616, 513, 11684, 543, 1898, 1907, 538, 519, 1158, 540, 2854, 2792, 269, 769, 713, 2376, 267, 649, 786, 3391, 596, 998, 519, 4909, 2553, 543, 3407, 4388, 547, 948, 596, 2328, 9159, 3625, 5022, 609, 8897, 269, 1924, 10544, 513, 4050, 543, 1957, 267, 543, 1577, 779, 4685, 883, 519, 3078, 1158, 540, 3625, 4484, 1603, 1927, 2336, 268, 4197, 519, 17943, 540, 13332, 16707, 454, 268, 13332, 16707, 281, 589, 18043, 6651, 454, 268, 19805, 519, 9406, 13088, 543, 10049, 585, 13332, 14594, 5675, 454, 268, 29923, 519, 7743, 12856, 543, 14474, 540, 13332, 16707, 454, 268, 9669, 585, 31514, 1849, 10846, 543, 3367, 1464, 538, 13332, 16707, 454, 268, 17006, 9608, 25291, 281, 11300, 15689, 585, 13332, 16707, 454, 268, 5871, 27190, 1389, 547, 3680, 1879, 5675, 13332, 16707, 454, 268, 1323, 16869, 779, 6651, 547, 1230, 3272, 532, 12333, 1143, 538, 13332, 14594, 5675, 454, 268, 32279, 18542, 5999, 454, 268, 654, 571, 6137, 5455, 454, 8139, 519, 17943, 540, 13332, 16707, 454, 28343, 16707, 281, 589, 18043, 6651, 454, 28343, 5022, 267, 849, 1634, 607, 968, 2745, 892, 610, 968, 22496, 6823, 892, 5022, 267, 616, 513, 2442, 2511, 540, 1603, 609, 2312, 543, 12050, 18116, 602, 616, 1419, 2938, 538, 4191, 267, 19297, 267, 543, 14245, 269, 1358, 616, 3362, 25992, 676, 741, 7833, 4463, 543, 8700, 267, 543, 1142, 4484, 568, 513, 4396, 267, 2347, 3337, 609, 1100, 3606, 30996, 880, 906, 269, 568, 1898, 585, 4896, 3168, 547, 3927, 5968, 609, 9355, 543, 31824, 563, 2691, 1210, 3625, 5022, 267, 621, 779, 1271, 547, 1832, 538, 2247, 513, 1906, 1883, 2798, 547, 2327, 6099, 2164, 269, 17616, 267, 2141, 946, 3854, 5022, 585, 11007, 543, 5021, 1764, 269, 901, 786, 3986, 519, 1850, 2225, 543, 1118, 707, 5048, 1796, 856, 269, 3958, 267, 2226, 5812, 19437, 1063, 1142, 4484, 547, 2057, 1022, 7715, 3429, 610, 10539, 269, 2290, 2500, 9133, 568, 547, 4734, 513, 13581, 7934, 1063, 1142, 4484, 267, 4180, 602, 789, 616, 1142, 10646, 762, 563, 5194, 2629, 2460, 547, 2015, 568, 519, 11098, 540, 519, 18116, 269, 4595, 3625, 5022, 723, 513, 4396, 543, 5230, 5920, 267, 621, 568, 5227, 547, 946, 513, 23198, 15262, 610, 4050, 547, 3035, 519, 5551, 1198, 269, 8347, 19234, 609, 1114, 1603, 7405, 547, 1265, 519, 835, 602, 1655, 17015, 707, 2511, 543, 5932, 11617, 13267, 3625, 5022, 563, 15563, 267, 798, 711, 30391, 519, 2956, 540, 2259, 269, 6145, 1022, 1148, 1106, 267, 13215, 3625, 5022, 3217, 942, 543, 9639, 269, 6875, 5413, 540, 2259, 9212, 2139, 2228, 610, 1711, 707, 1378, 269, 5590, 11735, 6131, 942, 547, 13217, 707, 4480, 543, 4603, 609, 1585, 4484, 13257, 267, 7306, 267, 543, 6163, 269, 8617, 2259, 786, 17216, 948, 596, 2744, 6015, 543, 15334, 538, 2870, 3750, 2275, 10248, 3625, 5022, 563, 24400, 519, 9406, 13088, 543, 10049, 585, 13332, 14594, 5675, 454, 17730, 11617, 13267, 3625, 5022, 3340, 6297, 5542, 540, 519, 2645, 543, 2326, 269, 3371, 616, 930, 1898, 3688, 596, 1058, 2015, 547, 2327, 707, 1603, 6763, 856, 12050, 569, 912, 268, 7433, 281, 8838, 585, 513, 5347, 543, 19756, 1957, 602, 666, 16641, 519, 2597, 540, 519, 13504, 610, 5862, 1510, 11702, 610, 2112, 4771, 269, 6333, 1210, 23198, 5373, 4574, 610, 7463, 4484, 532, 21181, 4481, 2966, 585, 3625, 4484, 532, 563, 268, 6755, 15078, 281, 589, 1434, 2298, 15513, 568, 4105, 585, 11516, 4221, 543, 4058, 707, 4484, 13257, 269, 20996, 22796, 609, 8795, 1291, 11098, 525, 666, 581, 3730, 585, 8236, 1114, 1899, 12035, 543, 8856, 563, 268, 623, 839, 610, 4460, 619, 281, 1879, 621, 2501, 547, 538, 6362, 707, 3625, 5022, 267, 3442, 23445, 610, 12508, 609, 513, 5812, 2095, 540, 13504, 543, 513, 3099, 540, 1899, 11097, 2195, 269, 6733, 585, 1164, 7779, 20119, 610, 28778, 12508, 602, 4465, 1406, 28201, 936, 942, 563, 268, 681, 592, 619, 543, 18135, 32484, 2471, 281, 1677, 2226, 2973, 543, 26546, 8728, 267, 513, 6325, 14610, 610, 2786, 8354, 568, 16832, 269, 6733, 585, 12001, 610, 4496, 17710, 609, 2312, 24795, 585, 4977, 7403, 563, 268, 661, 6652, 619, 281, 27190, 1389, 4755, 256, 7767, 538, 513, 1434, 2144, 6471, 547, 3362, 2953, 1022, 6959, 1510, 1159, 644, 3101, 610, 14124, 519, 1957, 269, 918, 928, 12184, 21971, 619, 616, 2523, 13561, 585, 9427, 27948, 610, 23315, 7436, 1510, 6028, 22016, 563, 8855, 267, 519, 1318, 2645, 711, 1152, 5351, 538, 8236, 8856, 543, 6111, 855, 849, 3986, 519, 2949, 3308, 9029, 540, 707, 3625, 4484, 532, 269, 15331, 609, 1114, 2645, 543, 2326, 547, 1265, 519, 3501, 4999, 602, 17015, 707, 2511, 543, 6770, 707, 3625, 4484, 13144, 547, 1272, 563, 22913, 532, 519, 7743, 12856, 543, 14474, 540, 13332, 16707, 454, 28343, 5022, 267, 849, 1634, 607, 17808, 2511, 267, 616, 513, 4922, 1031, 3898, 585, 1603, 6101, 1870, 5022, 269, 568, 1898, 585, 2870, 513, 3318, 543, 25509, 2792, 269, 1635, 1739, 513, 1906, 1883, 4808, 267, 596, 666, 2327, 602, 707, 3625, 5022, 616, 1134, 268, 23457, 267, 11617, 13267, 267, 543, 3927, 6655, 707, 5048, 563, 2414, 1376, 267, 621, 568, 1271, 547, 946, 513, 13944, 602, 568, 3362, 28505, 543, 3318, 267, 971, 607, 8648, 1715, 4936, 610, 1488, 658, 267, 609, 513, 3044, 13944, 2450, 540, 476, 1321, 2798, 269, 5457, 547, 1305, 707, 1257, 12972, 547, 2451, 268, 3286, 1881, 267, 3246, 513, 2973, 543, 7833, 1413, 2429, 707, 4484, 269, 22982, 519, 14103, 11090, 547, 11168, 1271, 1344, 610, 26333, 267, 1818, 873, 1796, 856, 547, 519, 5467, 269, 3958, 267, 1331, 707, 3346, 1344, 693, 519, 1283, 540, 519, 4484, 267, 13988, 609, 519, 1318, 14345, 267, 3850, 519, 18579, 547, 3362, 4431, 547, 707, 19359, 563, 2691, 1785, 1005, 707, 3625, 4484, 267, 1331, 513, 2312, 543, 13801, 1641, 1899, 602, 6257, 519, 3483, 540, 707, 4484, 269, 7427, 713, 609, 513, 30251, 543, 3318, 2892, 16615, 267, 5466, 519, 18579, 609, 741, 2953, 2140, 543, 2012, 269, 769, 519, 1560, 540, 519, 4484, 267, 946, 9433, 547, 10891, 707, 4555, 543, 5094, 1114, 2093, 267, 4180, 9355, 543, 25843, 269, 22982, 16886, 2798, 610, 796, 333, 3518, 1229, 8638, 267, 2813, 609, 519, 14103, 454, 268, 11090, 267, 547, 1459, 1344, 538, 513, 13801, 543, 2653, 3562, 22345, 6073, 269, 5269, 2386, 547, 9959, 707, 4484, 676, 11589, 7071, 585, 519, 18579, 779, 942, 543, 7156, 267, 10678, 609, 513, 1330, 974, 748, 14656, 543, 707, 15040, 269, 1635, 20170, 547, 891, 4808, 267, 596, 666, 4487, 519, 1697, 2497, 543, 3898, 540, 3625, 5022, 267, 6028, 513, 9434, 12705, 540, 3318, 1143, 538, 782, 707, 2854, 19359, 563, 268, 769, 4621, 11962, 4484, 2450, 281, 2290, 540, 519, 1034, 11342, 9073, 568, 22522, 521, 1944, 540, 519, 5022, 269, 5269, 2386, 547, 2226, 513, 7833, 2450, 2429, 707, 1257, 547, 3035, 513, 23887, 543, 25509, 1267, 563, 268, 8555, 704, 19437, 281, 18648, 19437, 1063, 5022, 543, 1913, 666, 1118, 707, 3625, 5022, 2408, 16081, 6244, 543, 2352, 547, 1224, 269, 8073, 2614, 2230, 1063, 1142, 4484, 543, 2262, 547, 3986, 9355, 543, 1850, 2225, 563, 268, 769, 24014, 1899, 11098, 281, 674, 9430, 547, 2226, 5812, 1899, 11098, 2429, 707, 3625, 5022, 666, 7519, 741, 3308, 3666, 269, 9796, 3007, 547, 519, 11098, 540, 1142, 8482, 267, 4180, 789, 616, 7833, 585, 513, 3318, 1413, 563, 268, 10598, 22162, 2786, 3515, 543, 7285, 281, 13332, 5022, 7048, 593, 2786, 3515, 543, 7285, 585, 741, 10058, 3337, 269, 3680, 1793, 14563, 610, 19514, 3515, 602, 666, 1253, 677, 519, 4484, 13257, 543, 14207, 519, 2949, 12716, 563, 19522, 585, 31514, 1849, 10846, 543, 3367, 1464, 538, 13332, 16707, 454, 28343, 5022, 616, 513, 2442, 3903, 585, 2870, 3750, 2275, 10248, 4191, 267, 19297, 267, 543, 24657, 269, 1717, 267, 4180, 602, 707, 3625, 5022, 616, 2312, 543, 2653, 547, 1224, 568, 1898, 585, 3927, 14379, 707, 5048, 269, 7427, 891, 4388, 547, 3986, 519, 9355, 543, 31824, 540, 707, 3625, 5022, 912, 26705, 1154, 281, 1879, 621, 2501, 547, 3625, 5022, 267, 1697, 11249, 568, 1883, 269, 2422, 513, 12050, 521, 753, 1606, 518, 604, 13944, 267, 971, 607, 1488, 658, 610, 4477, 23439, 3821, 267, 547, 1118, 707, 5022, 1796, 856, 269, 21561, 519, 4484, 19437, 5594, 547, 2061, 7715, 3429, 267, 855, 2057, 7050, 19437, 267, 799, 666, 1118, 707, 1257, 2408, 771, 329, 31212, 563, 6944, 2858, 281, 19793, 1324, 513, 1434, 4334, 1063, 707, 5022, 543, 519, 4282, 568, 2629, 585, 31824, 269, 8838, 585, 513, 4158, 2681, 585, 707, 5022, 267, 971, 607, 3109, 610, 513, 2620, 12094, 267, 543, 1118, 2386, 519, 4282, 568, 513, 14402, 2681, 269, 901, 4334, 786, 2327, 602, 707, 3625, 5022, 616, 3362, 10646, 762, 689, 519, 4282, 543, 666, 581, 3362, 1224, 689, 513, 3845, 563, 23917, 281, 6333, 519, 2450, 540, 707, 3625, 5022, 267, 607, 621, 2047, 5222, 31824, 269, 1280, 4191, 610, 19297, 602, 786, 581, 9763, 689, 7192, 541, 267, 1904, 585, 3677, 5022, 547, 2327, 15287, 269, 2201, 519, 824, 1688, 267, 952, 707, 3625, 5022, 786, 581, 9763, 909, 2673, 267, 596, 666, 979, 585, 513, 4130, 2450, 269, 5457, 602, 1850, 2225, 1058, 2141, 581, 3922, 1242, 936, 15312, 563, 8967, 5217, 281, 7743, 19437, 1063, 5022, 568, 1898, 585, 9355, 269, 3680, 32036, 3429, 707, 3625, 5022, 267, 607, 621, 666, 1118, 873, 2352, 547, 1224, 269, 5269, 2386, 1142, 4484, 814, 2614, 4055, 1472, 621, 267, 3850, 873, 547, 13236, 269, 17797, 519, 19437, 2394, 596, 1265, 519, 1318, 3666, 602, 5849, 707, 3625, 5022, 616, 2312, 543, 11617, 13267, 563, 2704, 9892, 281, 9796, 3007, 547, 519, 12972, 540, 707, 3625, 5022, 267, 607, 621, 666, 1860, 519, 2949, 5920, 269, 6787, 596, 3442, 2451, 12972, 267, 4099, 12972, 267, 610, 1318, 12972, 267, 2327, 11007, 2429, 707, 1374, 269, 901, 786, 1711, 513, 16517, 543, 6896, 1413, 543, 2061, 10539, 563, 4415, 891, 4388, 267, 596, 666, 3986, 519, 9355, 543, 31824, 540, 707, 3625, 5022, 267, 9159, 707, 5304, 543, 3927, 23187, 707, 5048, 269, 5901, 538, 2247, 602, 621, 779, 1271, 547, 10880, 513, 3666, 1063, 5876, 543, 31824, 267, 607, 596, 1616, 707, 3625, 5022, 547, 6952, 519, 3750, 1247, 1869, 1373, 2653, 547, 10146, 269, 1924, 1205, 3860, 267, 4603, 609, 1114, 23935, 543, 7306, 267, 543, 4585, 707, 3625, 5022, 2097, 547, 1272, 2336, 29002, 9608, 25291, 281, 11300, 15689, 585, 13332, 16707, 454, 28343, 5022, 616, 513, 2442, 3903, 585, 4946, 513, 2123, 5905, 547, 1585, 6272, 543, 3785, 269, 2060, 741, 12050, 543, 11295, 1106, 267, 789, 1683, 513, 4396, 5748, 547, 6451, 3860, 2609, 602, 1118, 707, 4484, 532, 5963, 2189, 269, 3371, 616, 930, 3078, 2081, 596, 666, 1039, 513, 2123, 5905, 547, 707, 3625, 5022, 912, 272, 269, 2878, 21615, 749, 880, 906, 4995, 4208, 6529, 547, 10750, 543, 2241, 950, 596, 666, 15690, 909, 707, 3625, 5022, 609, 3750, 2275, 10248, 30996, 880, 906, 286, 6333, 4946, 2609, 899, 6801, 267, 12271, 267, 610, 5810, 1472, 519, 8728, 540, 519, 5022, 547, 1711, 513, 627, 15501, 673, 1198, 269, 17968, 267, 596, 666, 4603, 609, 3270, 899, 1135, 6390, 15956, 610, 26145, 547, 1039, 5854, 3599, 543, 3178, 547, 707, 6272, 563, 273, 269, 2878, 17806, 999, 4995, 29892, 609, 18282, 666, 14678, 21592, 519, 3308, 9029, 540, 707, 3625, 5022, 269, 8347, 6220, 2326, 899, 5958, 267, 1350, 7867, 267, 610, 17285, 23240, 547, 2285, 707, 5022, 513, 28241, 1745, 269, 3502, 1152, 786, 713, 1118, 707, 6272, 1796, 856, 267, 855, 621, 786, 849, 1039, 513, 4241, 1257, 1116, 10155, 547, 707, 4484, 532, 269, 15331, 609, 1114, 18282, 547, 1265, 519, 835, 602, 1655, 17015, 707, 5497, 12716, 563, 274, 269, 2878, 8624, 832, 4995, 2290, 540, 519, 15864, 2081, 547, 1039, 513, 2123, 5905, 547, 707, 3625, 5022, 568, 676, 1210, 513, 3099, 540, 9159 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9588, 268, 276, 844, 820, 282, 543, 865, 593, 780, 2414, 5635, 1079, 16767, 538, 2474, 540, 24373, 267, 596, 10208, 835, 9588, 689, 519, 824, 543, 6318, 476, 1015, 547, 602, 1379, 281, 476, 1015, 22677, 300, 272, 5336, 273, 6393, 2690, 1383, 267, 952, 519, 9588, 540, 835, 844, 820, 568, 476, 277, 543, 1776, 568, 476, 275, 267, 982, 519, 3017, 538, 3172, 6421, 568, 476, 273, 267, 865, 519, 6793, 13091, 695, 1389, 476, 1015, 317, 273, 610, 476, 1911, 2053, 607, 2182, 607, 519, 7646, 518, 835, 780, 293, 3555, 531, 3604, 960, 519, 1482, 1259, 269, 21561, 519, 9588, 676, 476, 271, 269, 272, 267, 543, 596, 9062, 519, 24373, 676, 476, 1015, 22677, 271, 269, 272, 1070, 610, 827, 476, 272, 269, 28796, 30867, 2333, 540, 476, 2918, 10065, 21561, 519, 9588, 676, 476, 271, 269, 274, 267, 543, 519, 24373, 3592, 4010, 29156, 269, 2334, 781, 513, 13561, 4341, 540, 14853, 547, 1832, 538, 2247, 780, 4537, 1136, 3884, 1405, 519, 1152, 1259, 547, 5635, 16767, 269, 6271, 1455, 1935, 568, 547, 2911, 827, 519, 3448, 5666, 540, 1648, 789, 5305, 269, 1677, 798, 602, 267, 1175, 7696, 835, 2241, 3063, 1900, 281, 10208, 519, 3172, 6421, 543, 1287, 1039, 476, 2004, 260, 1354, 1210, 519, 1267, 607, 513, 1379, 540, 476, 1015, 269, 769, 13004, 701, 752, 267, 519, 4542, 568, 476, 1015, 317, 9230, 300, 272, 5336, 273, 12684, 272, 269, 276, 6393, 263, 1607, 1568, 1317, 519, 1648, 10253, 609, 476, 274, 270, 273, 540, 9588, 267, 585, 4128, 602, 1810, 1405, 2339, 24355, 29806, 1383, 281, 9236, 519, 9588, 268, 280, 269, 271, 13091, 538, 3567, 609, 519, 9588, 268, 277, 269, 274, 844, 820, 602, 13351, 1715, 10215, 538, 5988, 269, 634, 3017, 538, 3172, 6421, 568, 476, 273, 269, 278, 267, 865, 519, 3017, 538, 24373, 568, 476, 1015, 317, 273, 269, 278, 267, 610, 1175, 936, 476, 4335, 2053, 607, 2462, 12544, 4137, 596, 4312, 4440, 2938, 269, 634, 3017, 538, 1648, 267, 2705, 267, 568, 476, 1015, 22677, 273, 269, 278, 265, 272, 269, 276, 264, 815, 476, 1015, 317, 275, 269, 4962, 267, 610, 827, 476, 1556, 267, 13136, 2053, 780, 2791, 666, 1451, 513, 2603, 811, 693, 519, 772, 2529, 269, 24959, 11752, 781, 13091, 3135, 780, 16829, 538, 5113, 0, 258, 25181, 1587, 692, 1103, 6128, 267, 519, 9703, 1587, 630, 320, 21993, 18502, 269, 9703, 12045, 267, 9703, 8691, 267, 6418, 8691, 267, 6418, 12045, 267, 610, 6418, 8174, 566, 264, 568, 513, 4110, 6567, 272, 1884, 3187, 10474, 593, 519, 16538, 7223, 540, 11186, 3029, 593, 513, 5347, 32032, 269, 634, 9703, 1587, 267, 3957, 538, 11685, 547, 519, 16538, 1587, 267, 1058, 711, 581, 11821, 609, 606, 6418, 1587, 269, 634, 9703, 1587, 3852, 373, 311, 22886, 568, 3006, 2854, 607, 2473, 22886, 16804, 272, 6540, 1012, 9502, 692, 763, 9703, 1587, 568, 3989, 547, 581, 519, 19432, 540, 513, 11186, 1106, 609, 513, 6152, 2361, 269, 4935, 952, 2473, 568, 513, 6152, 2361, 593, 519, 32032, 631, 267, 1287, 692, 21851, 6234, 1422, 23273, 23214, 311, 4153, 3712, 517, 1422, 29604, 476, 3867, 335, 12917, 300, 9385, 1729, 1422, 29604, 476, 3867, 335, 268, 272, 12917, 300, 264, 10592, 529, 519, 4786, 799, 15920, 513, 533, 27322, 28911, 547, 519, 630, 335, 6629, 272, 9984, 845, 3852, 373, 311, 22886, 3989, 676, 519, 3959, 602, 692, 21851, 6234, 22570, 23273, 23214, 311, 4153, 18652, 3738, 263, 311, 3709, 272, 9574, 315, 24126, 2073, 311, 3709, 335, 268, 272, 348, 21174, 18652, 630, 311, 267, 311, 3709, 272, 9574, 315, 24126, 2073, 311, 3709, 335, 268, 272, 16585, 10592, 1721, 1022, 6152, 4610, 2473, 272, 267, 10371, 1421, 2473, 335, 6629, 272, 780, 763, 9703, 1587, 568, 519, 2189, 1884, 3187, 10474, 540, 4110, 6567, 272, 593, 519, 16538, 7223, 971, 602, 593, 835, 268, 13257, 14668, 692, 21851, 6234, 1422, 6234, 1422, 23273, 23214, 311, 4153, 10401, 31386, 10401, 630, 311, 21174, 30848, 1422, 10401, 2073, 311, 315, 26917, 476, 4151, 10484, 3602, 2340, 509, 357, 2073, 2340, 509, 358, 568, 519, 546, 7081, 30010, 1063, 14668, 543, 519, 6152, 2473, 269, 1401, 14032, 569, 267, 952, 16061, 568, 513, 533, 27322, 543, 29339, 568, 513, 7117, 27322, 267, 1287, 692, 21851, 6234, 1422, 23273, 23214, 311, 32710, 15883, 1422, 342, 8354, 1422, 24472, 3738, 284, 7268, 23273, 23214, 311, 4153, 15883, 3738, 315, 342, 8354, 1422, 24472, 1341, 8987, 272, 22722, 335, 4153, 15883, 1422, 342, 8354, 22570, 23273, 23214, 311, 4153, 24472, 15426, 10592, 763, 1657, 6935, 3081, 602, 519, 9703, 1587, 1073, 324, 903, 513, 28439, 2274, 30519, 714, 4341, 269, 1323, 5106, 17598, 5276, 640, 543, 513, 2274, 30519, 714, 4341, 568, 1419, 1572, 513, 12045, 780, 1012, 16544, 692, 3528, 24431, 2096, 11496, 540, 3029, 10484, 21851, 6234, 1422, 23273, 23214, 311, 4153, 23273, 23214, 312, 4153, 18652, 815, 10559, 23273, 23214, 312, 4153, 23273, 23214, 311, 4153, 18652, 476, 10592, 663, 865, 12276, 6234, 1422, 23273, 23214, 311, 4153, 15132, 1422, 23273, 23214, 311, 13157, 271, 23201, 901, 949, 581, 3379, 547, 519, 16538, 12045, 546, 267, 799, 814, 519, 3959, 546, 323, 815, 476, 271, 780, 763, 9703, 1587, 12211, 519, 16538, 12045, 543, 17389, 12045, 540, 11186, 3029, 676, 519, 14295, 534, 4542, 630, 320, 21993, 18502, 269, 14295, 534, 3961, 267, 14295, 534, 4630, 582, 4878, 4542, 314, 273, 316, 610, 14295, 534, 9059, 4542, 17107, 21851, 6234, 11513, 24837, 2715, 299, 3686, 3709, 311, 4153, 18652, 815, 323, 7268, 23273, 23214, 311, 4153, 18652, 3738, 10954, 23273, 23214, 311, 348, 323, 315, 18652, 1547, 10592, 1607, 3961, 11225, 513, 546, 7081, 1063, 519, 16538, 543, 9703, 16755, 269, 14295, 534, 781, 3961, 568, 1271, 538, 1623, 921, 8157, 9511, 543, 2489, 25536, 281, 1294, 4090, 4786, 16804, 274, 316, 634, 14295, 534, 4630, 582, 4878, 4542, 568, 3957, 1310, 27878, 12340, 14295, 534, 16804, 275, 6540, 763, 9703, 1587, 609, 2463, 547, 519, 862, 583, 1807, 540, 1079, 6152, 4610, 12276, 6234, 2473, 20954, 12276, 6234, 962, 4151, 25389, 519, 3961, 692, 21851, 6234, 1422, 23273, 23214, 314, 311, 267, 312, 316, 18098, 3847, 314, 3189, 24837, 2715, 299, 3686, 3709, 311, 9574, 315, 23273, 23214, 312, 4153, 2431, 4940, 4151, 0, 258, 11272, 932, 1618, 543, 853, 1738, 24542, 269, 11272, 932, 1618, 25104, 350, 2353, 2339, 568, 1500, 909, 540, 8444, 25104, 350, 2311, 1682, 2270, 476, 272, 269, 5019, 976, 22791, 264, 476, 273, 269, 3026, 583, 6425, 630, 271, 264, 476, 274, 269, 5082, 6425, 11196, 2020, 1012, 19809, 593, 6249, 281, 834, 25821, 932, 1618, 543, 853, 1738, 24542, 269, 11272, 932, 1618, 25104, 350, 2353, 2339, 568, 1500, 909, 540, 8444, 25104, 350, 2311, 1682, 2270, 476, 272, 269, 5019, 976, 22791, 264, 476, 273, 269, 3026, 583, 6425, 630, 271, 264, 476, 274, 269, 5082, 6425, 11196, 17983, 1765, 19809, 13973, 1384, 25821, 932, 1618, 543, 853, 1738, 24542, 692, 25821, 932, 1618, 25104, 350, 2353, 2339, 568, 1500, 909, 540, 8444, 25104, 350, 2311, 1682, 2270, 476, 272, 269, 5019, 976, 22791, 264, 476, 273, 269, 3026, 583, 6425, 630, 271, 264, 476, 274, 269, 5082, 6425, 11196, 2020, 25187, 540, 11272, 932, 1173, 525, 25104, 350, 634, 1876, 540, 3167, 10997, 2829, 602, 899, 10997, 1065, 601, 267, 543, 6587, 10997, 4482, 269, 25104, 350, 5019, 976, 616, 9797, 9901, 543, 9211, 616, 11874, 9901, 267, 865, 789, 616, 13631, 547, 1142, 824, 269, 25104, 350, 9453, 713, 16007, 267, 9211, 1131, 711, 581, 4371, 538, 8444, 780, 25187, 540, 11272, 932, 1173, 525, 692, 25821, 10414, 634, 3196, 1063, 519, 9901, 3615, 568, 606, 3167, 3196, 269, 634, 2450, 540, 519, 3167, 3196, 5673, 593, 476, 273, 1919, 281, 476, 272, 269, 634, 2179, 540, 5279, 630, 1492, 3152, 519, 5279, 267, 519, 3152, 519, 3196, 264, 476, 273, 269, 634, 3845, 1063, 10997, 630, 1492, 2417, 519, 3845, 267, 519, 1447, 519, 3196, 2020, 25821, 12197, 25104, 350, 1323, 3167, 2361, 568, 519, 3148, 1472, 513, 9901, 1843, 1141, 3167, 4229, 666, 581, 25116, 593, 1776, 9901, 1843, 269, 630, 11847, 8215, 610, 13631, 2020, 2419, 20149, 27014, 25104, 350, 2311, 1682, 798, 711, 723, 513, 5279, 1317, 519, 1297, 540, 9211, 543, 22571, 22599, 1142, 824, 856, 269, 1401, 269, 476, 274, 22571, 22791, 264, 1299, 476, 274, 9211, 11196, 264, 815, 476, 271, 692, 2419, 20149, 27014, 1215, 798, 3615, 1205, 9901, 286, 25104, 350, 1358, 2901, 2744, 610, 6336, 9211, 269, 25104, 350, 4208, 711, 22571, 286, 1401, 269, 476, 274, 22571, 22791, 264, 1299, 476, 276, 9211, 11196, 264, 815, 476, 278, 22571, 22791, 264, 1299, 476, 273, 9211, 11196, 264, 25883, 1692, 2052, 1411, 932, 1618, 27014, 286, 25104, 350, 1703, 616, 476, 274, 2081, 3615, 666, 581, 9901, 281, 476, 272, 269, 674, 9689, 476, 273, 269, 1230, 9134, 476, 274, 269, 1473, 25934, 2878, 1103, 1142, 540, 891, 267, 1152, 519, 9211, 1847, 269, 634, 22571, 3251, 538, 519, 13540, 4373, 293, 9689, 25104, 350, 932, 1173, 532, 676, 11508, 4386, 950, 9211, 616, 968, 342, 21317, 892, 689, 835, 1843, 5196, 1776, 269, 1401, 269, 1403, 596, 946, 513, 12308, 547, 6299, 513, 5068, 14610, 267, 9211, 1847, 689, 519, 12308, 547, 519, 14610, 269, 634, 14610, 12374, 9211, 543, 519, 12308, 19380, 9211, 780, 3519, 9134, 25104, 350, 932, 1173, 532, 676, 26634, 4523, 950, 9211, 1847, 689, 835, 1843, 547, 1776, 998, 1463, 3346, 630, 339, 537, 4221, 1040, 1401, 269, 14597, 596, 5905, 606, 796, 12737, 539, 4062, 540, 4496, 609, 513, 9797, 9901, 4837, 11425, 269, 5082, 6425, 689, 519, 4496, 786, 1847, 547, 519, 4837, 11425, 269, 634, 4496, 19380, 9211, 543, 3587, 9797, 9901, 780, 5715, 25934, 25104, 350, 932, 1173, 532, 676, 15632, 4523, 950, 10997, 538, 606, 796, 12737, 539, 1843, 616, 22198, 6548, 1510, 1463, 3346, 609, 513, 9901, 1843, 269, 1401, 269, 1403, 596, 5279, 909, 513, 17891, 998, 11508, 543, 1747, 519, 17891, 2282, 4773, 540, 1957, 267, 519, 10997, 540, 519, 1957, 786, 581, 22198, 6548, 543, 519, 1957, 786, 581, 13631, 547, 519, 17891, 780, 8256, 3569, 540, 932, 1618, 25104, 350, 1879, 596, 5279, 1945, 676, 1022, 1505, 267, 1100, 10997, 616, 2813, 610, 10032, 269, 25104, 350, 634, 2338, 540, 9211, 543, 22571, 3251, 519, 1482, 269, 5082, 6425, 3274, 1847, 689, 835, 11046, 547, 1776, 267, 799, 2306, 2127, 602, 723, 1114, 10997, 780, 3519, 2265, 832, 543, 6184, 22399, 25104, 350, 1323, 5122, 18364, 568, 513, 1570, 538, 799, 10997, 666, 1847, 3362, 269, 25104, 350, 4107, 8407, 616, 1434, 26423, 1317, 930, 540, 741, 9211, 616, 1863, 547, 1847, 269, 25104, 350, 18430, 832, 616, 1031, 547, 1118, 12904, 269, 1280, 1383, 267, 513, 17689, 10260, 814, 4496, 5911, 543, 4496, 929, 29330, 269, 25104, 350, 21019, 267, 11956, 267, 543, 16035, 616, 1434, 26423, 780, 3519, 2265, 832, 543, 6184, 22399, 25104, 350, 1323, 5122, 1202, 15975, 568, 513, 1570, 538, 799, 10997, 3112, 1847, 3362, 269, 25104, 350, 6184, 22399, 798, 711, 2932, 10997, 1360, 1134, 1317, 741, 9211, 3112, 2095, 11884, 269, 634, 9211, 616, 17401, 4371, 538, 519, 8444, 540, 519, 1202, 15975, 269, 25104, 350, 634, 32229, 1570, 538, 513, 17689, 10260, 13515, 10997, 689, 6028, 519, 5911, 543, 14014, 596, 689, 3167, 8710, 269, 25104, 350, 21311, 267, 12285, 267, 4837, 267, 3574, 267, 543, 2011, 616, 1434, 1202, 22399, 780, 1805, 1738, 24542, 25104, 350, 853, 1738, 5201, 568, 519, 3167, 5279, 693, 1964, 593, 606, 1843, 269, 25104, 350, 1879, 1945, 568, 11979, 267, 621, 568, 711, 3001, 269, 25104, 350, 634, 10997, 540, 11979, 5201, 798, 711, 1847, 2476, 689, 519, 1843, 602, 789, 616, 538, 269, 1924, 267, 519, 1843, 8952, 922, 5279, 269, 25104, 350, 1401, 269, 1849, 582, 1127, 3144, 856, 540, 513, 3819, 518, 692, 25821, 2598, 8408, 25104, 350, 634, 2530, 540, 11979, 5201, 607, 10997, 1847, 1055, 606, 1843, 568, 1572, 3167, 11166, 269, 6884, 267, 3167, 11166, 4523, 7444, 269, 1401, 281, 11979, 593, 9660, 6884, 267, 3167, 11166, 4523, 3533, 269, 1401, 269, 9849, 12285, 1606, 565, 539, 10887, 593, 24095, 267, 17500, 692, 1692, 8752, 940, 22553, 692, 23409, 940, 25104, 350, 8752, 940, 2356, 16716, 519, 5207, 1448 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4028, 4720, 540, 2029, 814, 9927, 519, 1259, 649, 2661, 267, 960, 267, 543, 1256, 2932, 2883, 8852, 269, 7324, 519, 3875, 6639, 7760, 267, 9893, 2029, 814, 7153, 607, 513, 3532, 3196, 602, 814, 519, 1761, 547, 7519, 2757, 12948, 543, 8804, 9922, 269, 2755, 621, 729, 7620, 2404, 5097, 609, 19116, 899, 11670, 267, 9893, 2029, 814, 2094, 3254, 922, 1761, 547, 22499, 1585, 6080, 267, 1519, 8804, 563, 1103, 713, 2376, 267, 649, 786, 1865, 875, 9893, 2029, 568, 27200, 2757, 12948, 543, 8804, 267, 543, 2263, 519, 2009, 2104, 540, 713, 2029, 538, 519, 2883, 1158, 563, 28343, 7798, 5303, 281, 589, 16684, 11137, 454, 28343, 7798, 568, 513, 18228, 267, 7856, 24432, 2029, 602, 6087, 5150, 543, 12001, 8852, 1510, 519, 991, 585, 10827, 2456, 899, 8492, 610, 2883, 5238, 269, 898, 568, 513, 3126, 540, 4448, 7161, 267, 1142, 5627, 513, 1592, 540, 8852, 269, 4495, 513, 3625, 568, 2347, 267, 513, 1007, 3625, 568, 2813, 543, 5532, 547, 519, 3105, 835, 267, 8108, 513, 5832, 563, 763, 1344, 6740, 538, 513, 9893, 568, 24290, 543, 3112, 581, 12012, 610, 512, 2086, 1229, 609, 267, 4180, 519, 3354, 543, 8699, 540, 519, 1239, 269, 3958, 267, 9893, 13333, 593, 513, 9263, 3562, 24406, 518, 3060, 267, 2495, 602, 8852, 616, 20240, 543, 9516, 676, 3060, 5171, 267, 14874, 519, 991, 585, 3844, 8128, 563, 1692, 23204, 568, 2598, 4533, 532, 12465, 30914, 543, 16010, 454, 272, 269, 674, 2120, 543, 4258, 1653, 3690, 13905, 281, 2290, 540, 519, 1034, 1713, 2081, 602, 9893, 2029, 568, 27200, 2757, 12948, 543, 8804, 568, 676, 7175, 5488, 543, 14949, 8852, 269, 12465, 4871, 19132, 267, 2523, 3444, 31215, 8852, 267, 666, 1491, 2395, 547, 2347, 543, 1419, 1651, 584, 1164, 12375, 269, 23204, 2029, 666, 1184, 8852, 538, 513, 2339, 540, 3764, 610, 1256, 7643, 267, 609, 3648, 2539, 12375, 269, 901, 4398, 666, 4324, 1312, 1367, 3755, 543, 4213, 676, 4227, 3790, 543, 2810, 519, 3432, 540, 2883, 8852, 563, 273, 269, 24046, 8232, 281, 634, 18228, 2470, 540, 9893, 2029, 543, 922, 946, 540, 25563, 1118, 621, 11259, 547, 28892, 543, 12611, 269, 901, 2799, 3354, 666, 2569, 519, 1981, 540, 6880, 3430, 2931, 543, 3961, 17403, 267, 799, 616, 1455, 4145, 538, 2757, 12948, 543, 8804, 269, 5047, 267, 519, 11413, 540, 9893, 2636, 585, 1483, 6066, 9477, 543, 19027, 540, 8852, 267, 4227, 519, 7872, 540, 30081, 2238, 563, 274, 269, 11038, 29621, 281, 23204, 2029, 814, 519, 1761, 547, 3648, 2087, 2883, 10014, 267, 2523, 538, 3384, 2477, 269, 12465, 8492, 1419, 2154, 3573, 12319, 543, 5491, 1686, 11974, 267, 1818, 621, 2352, 585, 1082, 2043, 547, 1569, 2883, 2533, 269, 2060, 9893, 267, 2043, 666, 1711, 513, 5150, 3059, 3961, 267, 799, 666, 581, 1031, 547, 1569, 1585, 2883, 2533, 1510, 519, 991, 585, 513, 2757, 4871, 2272, 269, 901, 666, 7668, 2043, 543, 1507, 4213, 538, 3384, 2477, 547, 7119, 538, 519, 2518, 4346, 563, 275, 269, 1546, 25218, 1242, 16010, 630, 5719, 22380, 2567, 1546, 25218, 1242, 8804, 267, 610, 1546, 22380, 267, 4016, 547, 2883, 3156, 3710, 593, 9893, 2029, 602, 2832, 547, 4894, 10827, 2456, 543, 1711, 513, 811, 1930, 543, 3015, 2883, 1062, 269, 1546, 22380, 5867, 2709, 1585, 2883, 2533, 267, 1519, 23831, 267, 24228, 267, 543, 9467, 267, 1510, 519, 991, 585, 2757, 8492, 610, 2883, 5238, 269, 901, 666, 1291, 547, 811, 3608, 543, 12001, 2883, 6990, 267, 607, 1134, 607, 2799, 6735, 543, 5647, 538, 519, 2883, 5823, 563, 276, 269, 12829, 20260, 338, 281, 12829, 11731, 616, 1582, 7721, 1815, 5024, 11731, 609, 519, 2474, 540, 519, 6876, 2047, 2854, 883, 3009, 269, 1358, 8850, 14892, 950, 24441, 2175, 616, 1558, 267, 14874, 519, 991, 585, 10827, 2456, 543, 4227, 519, 1981, 540, 1480, 5470, 610, 12611, 269, 12829, 11731, 723, 519, 1761, 547, 20928, 1585, 2883, 3157, 267, 971, 607, 10211, 11650, 267, 6142, 6811, 267, 543, 19736, 9467, 267, 1818, 873, 811, 3608, 543, 5150, 563, 763, 8892, 540, 23204, 5303, 538, 16010, 454, 2026, 9893, 2029, 5170, 547, 11457, 267, 621, 568, 2693, 547, 723, 606, 1256, 3152, 1764, 593, 519, 2757, 12948, 543, 8804, 2872, 269, 11038, 5238, 616, 10115, 538, 9893, 1382, 543, 1646, 267, 3695, 1585, 946, 2665, 543, 3156, 585, 519, 2029, 269, 2368, 2009, 2104, 7835, 1331, 3844, 4871, 3059, 19728, 630, 290, 9720, 12336, 1070, 18351, 1436, 540, 7221, 267, 543, 4824, 9431, 10220, 998, 9893, 2861, 3435, 563, 28343, 7798, 2029, 814, 519, 1761, 547, 3648, 7519, 2757, 12948, 543, 8804, 267, 5356, 5488, 267, 14949, 267, 543, 811, 5150, 2883, 8852, 543, 2533, 269, 1306, 519, 2029, 5170, 547, 1020, 543, 9921, 267, 621, 568, 2693, 547, 1404, 606, 5051, 1271, 1909, 538, 519, 2104, 540, 8804, 269, 11038, 5238, 543, 22124, 1590, 3082, 543, 9784, 713, 2029, 547, 2611, 8013, 543, 2327, 513, 811, 3608, 267, 12001, 267, 543, 8537, 2883, 1062, 269, 0, 4910, 1545, 585, 8989, 593, 519, 5767, 8192, 4808, 543, 5711, 1072, 454, 3528, 6307, 32572, 454, 2026, 5313, 8387, 4363, 602, 4892, 3970, 741, 4006, 6981, 547, 948, 2061, 11528, 543, 5711, 2068, 267, 3173, 3136, 547, 2263, 875, 519, 2078, 1063, 2732, 543, 5694, 9178, 1568, 563, 288, 1353, 538, 519, 5988, 4750, 540, 519, 1977, 15482, 5948, 630, 297, 4696, 288, 264, 949, 2709, 1007, 10881, 269, 12824, 538, 6792, 8947, 519, 9860, 540, 2144, 657, 633, 5694, 5957, 1107, 519, 26464, 2530, 540, 5959, 2182, 5160, 1107, 538, 513, 1895, 540, 10708, 563, 763, 3173, 1031, 513, 1426, 18102, 547, 2307, 811, 982, 476, 6110, 12322, 827, 741, 4616, 540, 4829, 10433, 267, 5026, 10425, 267, 6653, 3327, 730, 10425, 543, 25970, 543, 15755, 3536, 269, 634, 10708, 941, 1287, 8947, 585, 5694, 5957, 563, 763, 1353, 1336, 811, 982, 476, 1789, 2600, 540, 519, 12322, 1185, 4503, 19596, 269, 12824, 11943, 602, 1851, 519, 16098, 543, 3536, 519, 1053, 10057, 267, 6653, 7091, 553, 8329, 547, 519, 1034, 547, 519, 1053, 685, 5694, 11761, 563, 5194, 1957, 538, 519, 5988, 808, 4696, 288, 6743, 693, 519, 2732, 268, 7394, 1072, 4276, 689, 513, 1114, 5086, 563, 10932, 5267, 602, 1082, 1453, 945, 616, 14968, 3068, 606, 11506, 1981, 540, 5694, 9178, 267, 5206, 4589, 267, 13191, 14858, 580, 2401, 543, 18332, 24806, 267, 1312, 20485, 693, 31089, 7970, 2160, 563, 302, 1537, 1072, 4648, 666, 1404, 513, 1909, 538, 5466, 1312, 12963, 8377, 543, 5694, 9178, 676, 6220, 2597, 9584, 883, 5959, 11564, 563, 2108, 303, 8824, 8377, 568, 513, 1857, 1072, 6161, 8506, 606, 954, 2889, 32216, 1935, 547, 1416, 2223, 789, 5206, 269, 968, 305, 719, 710, 2597, 9584, 540, 12963, 2550, 543, 2038, 6304, 998, 2069, 543, 29748, 540, 2550, 547, 513, 10805, 1019, 2045, 1014, 6484, 626, 543, 10629, 585, 811, 538, 3829, 6268, 949, 948, 2569, 2068, 1981, 3034, 1103, 741, 9241, 9783, 8192, 4808, 585, 519, 4182, 267, 5313, 4966, 849, 4126, 547, 948, 2232, 1312, 11528, 543, 5711, 2068, 676, 28409, 4892, 547, 3970, 4006, 547, 1100, 811, 982, 476, 1015, 2600, 540, 3232, 8477, 10057, 563, 1103, 3045, 23395, 519, 1007, 4808, 267, 789, 12038, 827, 2963, 16046, 4006, 4616, 547, 11506, 1981, 540, 8377, 267, 3987, 267, 9025, 2068, 543, 5694, 9178, 563, 1103, 606, 30569, 547, 519, 8192, 4808, 267, 789, 6045, 875, 789, 16668, 741, 8753, 827, 519, 2078, 1063, 4006, 543, 5694, 9178, 563, 4910, 1545, 3769, 513, 9836, 2689, 5342, 676, 519, 2622, 2657, 9257, 630, 21766, 1916, 8310, 1032, 14959, 1572, 2390, 2477, 547, 3970, 4006, 6981, 607, 513, 1259, 540, 5466, 8377, 543, 5694, 9178, 5001, 563, 14071, 723, 4396, 2963, 602, 5329, 6981, 540, 1863, 14836, 547, 1447, 982, 476, 1015, 2600, 540, 2698, 1648, 6981, 6971, 519, 1981, 540, 14968, 267, 8377, 543, 5694, 9178, 2223, 1767, 25845, 1723, 645, 3757, 8619, 267, 8689, 540, 14959, 779, 4972, 540, 12594, 585, 2657, 543, 4886, 267, 1767, 538, 513, 3377, 5305, 827, 519, 4808, 269, 968, 21430, 3609, 2242, 547, 1489, 713, 786, 581, 1883, 952, 2477, 616, 547, 2661, 909, 547, 741, 19647, 547, 2569, 519, 11411, 540, 1875, 10919, 27809, 3676, 3034, 763, 3919, 1336, 602, 513, 2417, 5786, 547, 2630, 476, 276, 2600, 610, 10199, 476, 1839, 10101, 630, 277, 18324, 9398, 264, 829, 1554, 1131, 1683, 3606, 1072, 2640, 563, 2108, 28074, 540, 519, 14836, 10057, 2221, 616, 1412, 327, 5200, 262, 538, 9268, 3536, 602, 616, 711, 2356, 2938, 607, 26265, 2223, 14959, 14129, 538, 519, 5305, 269, 968, 2690, 1383, 267, 476, 272, 29537, 540, 11337, 577, 1575, 3568, 1472, 476, 275, 10101, 630, 19925, 476, 272, 23188, 264, 540, 1863, 14836, 269, 589, 2582, 666, 540, 4006, 1606, 11548, 2989, 14614, 3568, 909, 547, 476, 2412, 10101, 630, 19925, 476, 1015, 18324, 9398, 264, 540, 1863, 14836, 3034, 301, 7627, 602, 5711, 2175, 1860, 476, 274, 269, 280, 5479, 1004, 2066, 519, 8608, 267, 4589, 540, 513, 2101, 476, 1001, 275, 1353, 3370, 538, 645, 10157, 5398, 2657, 723, 1500, 513, 2013, 585, 519, 27290, 5786, 540, 14836, 5001, 269, 634, 4589, 733, 2105, 968, 1492, 1699, 4485, 547, 9013, 5959, 1286, 625, 616, 17528, 547, 2061, 1164, 2157, 540, 1286, 625, 538, 4079, 538, 782, 2477, 543, 713, 12211, 547, 519, 1699, 1164, 1377, 540, 4006, 6981, 2066, 519, 8608, 3034, 2414, 1054, 9178, 814, 1044, 17941, 513, 3818, 1922, 716, 3645, 2068, 267, 609, 2732, 4730, 513, 1909, 2059, 609, 5711, 4551, 543, 824, 3984, 2188, 269, 3509, 2090, 723, 8947, 519, 25029, 540, 9178, 267, 543, 519, 1909, 602, 2732, 4249, 538, 1286, 625, 269, 634, 1764, 540, 4006, 6653, 2989, 16098, 267, 610, 9399, 24871, 723, 1044, 4922, 21503, 563, 2108, 19617, 2730, 2090, 2560, 17647, 5532, 9399, 24871, 609, 606, 2799, 1981, 540, 5694, 9178, 1851, 1453, 267, 543, 930, 723, 1336, 602, 519, 23639, 2157, 4122, 1336, 538, 7091, 553, 543, 5026, 10425, 2144, 1712, 5694, 19596, 2223, 24298, 513, 7917, 8381, 9652, 7690, 1382, 10282, 593, 519, 1764, 540, 7091, 553, 593, 1453, 779, 1072, 269, 968, 14399, 945, 8532, 811, 14614, 543, 7319, 13427, 267, 799, 1082, 9399, 24871, 2270, 267, 616, 693, 2799, 1981, 540, 9178, 539, 267, 7508, 543, 4904, 4522, 3034, 4517, 1934, 568, 835, 811, 4277, 4062, 540, 1644, 3377, 563, 1103, 6792, 267, 1141, 519, 808, 4696, 288, 1353, 1336, 811, 982, 476, 1789, 2600, 540, 12322, 609, 2144, 10757, 4522, 267, 513, 14614, 3454, 13684, 538, 476, 1001, 275, 949, 581, 2324, 547, 2569, 4006, 4616, 563, 7021, 519, 1101, 1032, 519, 3454, 729, 538, 1198, 267, 6455, 540, 24494, 16098, 538, 519, 2197, 8593, 676, 607, 1454, 607, 476, 1321, 2600, 267, 513, 1353, 814, 1336, 269, 11531, 267, 4420, 1194, 1216, 16306, 9782, 476, 275, 2600, 267, 519, 1715, 3840, 8648, 4080, 563, 3674, 707, 2146, 7234, 513, 14614, 3454, 286, 1548, 798, 707, 2199, 24782, 723, 547, 2161, 827, 2597, 9584, 607, 513, 1259, 540, 5466, 1312, 5694, 9178, 543, 8377, 286, 1772, 972, 513, 1007, 1650, 827, 4006, 543, 5711, 1072, 602, 596, 666, 2995, 286, 0, 5970, 596, 2479, 4810, 707, 5925, 7432, 1055, 14477, 1510, 1022, 9963, 610, 7805, 2601, 888, 2252, 865, 267, 596, 616, 711, 4805, 269, 901, 568, 513, 1455, 3390, 602, 666, 581, 3361, 676, 513, 3099, 540, 2188, 267, 1519, 1379, 15088, 267, 25768, 11443, 267, 2110, 539, 3334, 267, 543, 1256, 513, 17528, 1379, 3761, 269, 769, 930, 2665, 267, 519, 3390, 666, 581, 17251, 609, 513, 2241, 30076, 1184, 269, 769, 824, 2665, 267, 621, 949, 2154, 513, 811, 538, 3829, 7634, 547, 22942, 519, 3169, 2707, 540, 519, 1966, 563, 20175, 12071, 9822, 725, 281, 2290, 540, 519, 1034, 1455, 3123, 540, 4351, 5925, 9505, 4752, 568, 1379, 15088, 269, 1879, 972, 568, 606, 6397, 2530, 610, 10006, 540, 1379, 538, 707, 1753, 267, 621, 666, 2014, 519, 5925, 547, 2490, 1055, 30122, 269, 1677, 2061, 713, 689, 8345, 267, 2119, 1210, 513, 10006, 2149, 528, 585, 707, 5925, 610, 796, 680, 19982, 621, 950, 711, 538, 946, 563, 293, 5435, 344, 16530, 281, 15571, 9505, 26160, 666, 849, 581, 3361, 676, 25768, 11443, 610, 4296, 1369, 519, 1770, 3294, 269, 1403, 596, 14353, 713, 568, 519, 2013, 267, 8524, 519, 12904, 543, 4296, 3330 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3593, 7888, 21686, 4580, 2059, 609, 3728, 3210, 2053, 543, 5140, 6075, 3028, 689, 519, 1982, 563, 13436, 547, 10515, 559, 582, 593, 27707, 29878, 10515, 559, 582, 267, 21741, 333, 710, 4025, 8561, 593, 2866, 922, 3631, 1210, 6325, 1239, 269, 769, 1931, 547, 3035, 713, 267, 519, 2754, 814, 2847, 2086, 539, 922, 3642, 3631, 543, 814, 4824, 519, 1259, 621, 16621, 1007, 3283, 883, 922, 3760, 282, 2864, 982, 2348, 513, 1152, 2203, 21741, 333, 710, 568, 1631, 2111, 547, 1489, 2789, 16419, 3642, 3631, 1310, 10442, 519, 835, 602, 568, 1034, 5078, 547, 519, 4170, 540, 922, 3755, 563, 290, 617, 1168, 327, 7371, 19907, 568, 513, 3684, 1565, 630, 7876, 9984, 335, 10062, 8193, 13959, 602, 2337, 2333, 519, 4398, 540, 9367, 676, 5356, 3009, 5829, 10372, 269, 634, 3028, 11573, 1137, 13865, 10291, 899, 519, 4087, 540, 519, 23684, 607, 1134, 607, 519, 3009, 621, 568, 2111, 547, 946, 547, 1118, 922, 7840, 538, 13076, 609, 519, 2796, 563, 24927, 2662, 7371, 19907, 2813, 676, 8835, 5680, 7896, 267, 568, 15095, 609, 1169, 5752, 1893, 610, 9517, 292, 6462, 676, 589, 16703, 1519, 966, 306, 8943, 267, 2271, 22088, 297, 9517, 12788, 267, 12877, 2419, 1301, 543, 5680, 1805, 768, 269, 3958, 267, 8943, 2662, 7371, 19907, 2934, 513, 3354, 31554, 543, 4704, 9477, 4183, 799, 666, 11571, 707, 3009, 585, 1761, 16426, 563, 24927, 2662, 7371, 19907, 267, 899, 27707, 29878, 779, 10515, 559, 582, 568, 606, 3642, 29374, 1907, 585, 3301, 1646, 602, 3705, 1206, 9367, 685, 8292, 543, 8850, 5267, 3009, 789, 949, 1616, 547, 946, 547, 1020, 741, 1788, 269, 898, 729, 8036, 1210, 513, 1804, 5399, 689, 1930, 2707, 3301, 267, 607, 1134, 4835, 2866, 1239, 689, 8835, 563, 297, 27889, 645, 1551, 267, 589, 16703, 21470, 5518, 543, 12751, 5345, 13370, 626, 1767, 8943, 2662, 7371, 19907, 666, 581, 513, 851, 540, 519, 9517, 292, 547, 4217, 9367, 538, 1603, 3009, 811, 7561, 543, 3533, 269, 898, 3096, 3875, 2796, 10881, 267, 971, 607, 519, 4087, 540, 519, 23684, 610, 538, 4395, 540, 621, 267, 607, 1134, 607, 824, 6119, 538, 513, 1788, 547, 7903, 922, 7840, 4464, 563, 24927, 2662, 7371, 19907, 267, 2147, 547, 19208, 267, 12958, 3009, 12612, 602, 666, 581, 1031, 538, 1082, 5752, 4654, 267, 607, 1134, 607, 2930, 1603, 269, 898, 568, 6462, 998, 606, 1930, 2707, 2146, 16030, 811, 982, 513, 8536, 5841, 4987, 4966, 945, 723, 3838, 741, 6791, 563, 24927, 2662, 7371, 19907, 949, 711, 723, 782, 519, 2934, 19208, 814, 2705, 621, 1223, 581, 513, 14323, 4781, 585, 513, 2603, 540, 3755, 269, 898, 20674, 13798, 619, 538, 3478, 741, 960, 2944, 5488, 543, 811, 10502, 1247, 9427, 1022, 12886, 610, 12961, 602, 1223, 581, 1459, 563, 5194, 4781, 568, 5487, 300, 6395, 267, 606, 3642, 14617, 6643, 1062, 2813, 676, 5616, 799, 666, 1174, 543, 4431, 547, 7294, 2055, 543, 9840, 269, 898, 814, 1044, 8036, 593, 476, 15389, 5479, 6724, 607, 1134, 607, 476, 272, 269, 6321, 307, 1913, 540, 15597, 2139, 1357, 2861, 6054, 543, 13972, 1239, 543, 814, 1044, 22934, 547, 2327, 3106, 267, 2298, 543, 18569, 1465, 563, 276, 269, 5616, 19608, 454, 11386, 19608, 568, 513, 5639, 19840, 17300, 5691, 13930, 2966, 547, 4217, 609, 4948, 4247, 1210, 707, 16335, 269, 3281, 26702, 609, 11436, 4881, 15692, 476, 276, 269, 271, 266, 543, 15095, 5100, 10529, 971, 607, 5616, 5851, 267, 713, 5691, 13930, 666, 14458, 1082, 540, 707, 4247, 950, 596, 616, 593, 519, 979, 563, 15507, 25811, 666, 581, 1031, 538, 14966, 676, 1210, 11913, 12981, 607, 1134, 607, 1852, 540, 3457, 602, 1489, 621, 267, 971, 607, 5100, 8654, 15620, 267, 27687, 1846, 267, 543, 7641, 338, 269, 5015, 267, 16594, 23779, 568, 6462, 609, 1489, 585, 513, 3099, 540, 4654, 563, 11386, 19608, 711, 1152, 4267, 707, 2055, 267, 855, 666, 849, 1397, 5961, 267, 15737, 267, 610, 1022, 824, 3877, 1759, 593, 519, 1344, 596, 4076, 4280, 621, 547, 798, 269, 1280, 1383, 267, 596, 1223, 2307, 5616, 19608, 547, 1397, 6337, 689, 513, 5870, 610, 7552, 267, 607, 1134, 607, 11488, 15737, 3842, 717, 21166, 3823, 513, 1880, 1888, 610, 1367, 563, 10112, 9665, 666, 2285, 596, 513, 5758, 540, 519, 2621, 602, 7018, 1282, 519, 1554, 610, 547, 2638, 519, 4365, 9472, 269, 898, 666, 849, 1224, 856, 3377, 2984, 689, 513, 3099, 540, 2959, 563, 2252, 596, 2461, 513, 2575, 24158, 19608, 786, 1404, 13475, 543, 11549, 4548, 609, 1152, 519, 8360, 968, 25440, 1250, 5172, 5152, 1848, 2353, 596, 991, 568, 835, 2241, 4971, 2433, 2161, 267, 968, 25440, 1250, 5172, 5152, 3034, 5194, 9735, 8984, 540, 5616, 19608, 568, 922, 12588, 547, 14377, 4191, 609, 30776, 269, 15439, 1448, 519, 8254, 540, 707, 16335, 693, 513, 1129, 1287, 621, 3580, 6772, 599, 519, 1257, 609, 513, 5730, 8144, 538, 519, 1893, 596, 3442, 563, 11386, 19608, 1631, 2934, 2480, 1117, 27968, 589, 2388, 602, 1577, 596, 4383, 782, 707, 5100, 1753, 3457, 1210, 513, 2582, 3593, 8818, 269, 898, 779, 3226, 5363, 585, 8220, 1007, 3457, 899, 519, 595, 607, 1134, 607, 519, 8278, 984, 2465, 5100, 27687, 1846, 547, 707, 5616, 10055, 269, 0, 288, 1957, 4295, 267, 849, 1634, 607, 513, 21312, 4295, 610, 513, 8546, 267, 568, 513, 20425, 1843, 1500, 540, 1957, 4580, 269, 898, 568, 4122, 1031, 538, 1585, 6080, 585, 28277, 2326, 971, 607, 20955, 267, 5068, 8874, 267, 543, 23287, 7148, 525, 269, 7433, 23780, 616, 849, 1031, 538, 519, 5663, 540, 1957, 2472, 971, 607, 16003, 1957, 267, 1957, 28734, 267, 543, 28277, 4574, 563, 763, 1957, 23780, 2097, 538, 1114, 7306, 267, 11098, 525, 267, 543, 13080, 269, 1358, 616, 2356, 1500, 689, 13381, 1957, 267, 799, 2306, 873, 10357, 7888, 543, 4264, 269, 634, 1184, 540, 1818, 1957, 23780, 3322, 23090, 1957, 4580, 17446, 1472, 513, 8260, 7758, 267, 799, 568, 513, 4496, 610, 5068, 11425, 540, 519, 5551, 8006, 269, 634, 1957, 4580, 17446, 616, 1287, 1350, 4240, 1927, 547, 1106, 513, 15774, 12718, 563, 26261, 23780, 616, 606, 1898, 5057, 540, 519, 11183, 2872, 269, 1358, 948, 547, 2149, 543, 3560, 1585, 2472, 267, 971, 607, 1957, 28734, 543, 16003, 1957, 269, 3958, 267, 789, 616, 1031, 538, 519, 8228, 2872, 547, 3180, 1804, 20061, 540, 1957, 1031, 538, 8228, 2046, 525, 563, 14454, 267, 1957, 23780, 616, 513, 2629, 5057, 540, 519, 3761, 5832, 585, 1082, 6080, 269, 1358, 616, 20522, 267, 17426, 267, 543, 10357, 7888, 267, 1818, 873, 606, 5140, 4244, 547, 5068, 23780, 269, 0, 763, 6243, 540, 19168, 630, 845, 28861, 519, 7108, 11076, 264, 568, 513, 2197, 538, 4639, 4000, 269, 26062, 31644, 2929, 1004, 2661, 972, 282, 922, 3854, 568, 6452, 571, 269, 898, 568, 538, 5375, 4000, 267, 536, 867, 1359, 519, 13323, 540, 19892, 267, 1063, 595, 20110, 974, 546, 685, 296, 17383, 790, 543, 570, 690, 334, 563, 7712, 19168, 568, 2282, 519, 4982, 1807, 4092, 593, 519, 13323, 540, 19892, 267, 519, 2916, 568, 1360, 3636, 543, 9341, 269, 634, 9456, 9381, 12966, 568, 3636, 543, 26483, 3819, 269, 3162, 7178, 7944, 568, 3905, 543, 18519, 269, 634, 5087, 568, 3905, 543, 3819, 269, 8235, 5292, 3279, 630, 1492, 1158, 779, 4102, 5841, 10720, 264, 11498, 998, 9456, 19168, 269, 19168, 779, 5207, 1448, 568, 6778, 2279, 29951, 6737, 269, 898, 568, 476, 279, 5952, 544, 630, 273, 267, 3445, 275, 10264, 264, 543, 568, 1336, 538, 519, 13019, 342, 777, 574, 6874, 690, 334, 681, 5190, 563, 2467, 616, 1079, 1292, 12405, 538, 19168, 281, 519, 6632, 543, 519, 3819, 12405, 269, 8832, 19168, 814, 922, 24925, 4005, 689, 4728, 547, 5437, 269, 634, 5045, 267, 1519, 519, 3854, 6452, 571, 267, 814, 519, 4005, 689, 4989, 547, 4571, 9539, 4912, 563, 7197, 19168, 2103, 723, 1569, 547, 3119, 543, 6281, 2069, 269, 19168, 814, 513, 476, 277, 4458, 3119, 1153, 1062, 269, 1703, 616, 476, 277, 1857, 9945, 543, 476, 1015, 4357, 9945, 563, 294, 327, 3570, 814, 1082, 2067, 2200, 269, 634, 1292, 18666, 616, 4154, 267, 16025, 267, 23342, 267, 19987, 267, 543, 811, 269, 19168, 814, 835, 540, 519, 16999, 11615, 538, 4000, 563, 294, 327, 3570, 814, 513, 5318, 5757, 1062, 454, 294, 327, 3570, 1014, 5638, 1397, 602, 972, 568, 607, 1082, 607, 476, 21854, 2249, 540, 27738, 543, 20641, 267, 476, 278, 2190, 2249, 540, 5017, 267, 476, 18597, 27899, 2249, 7610, 1746, 19168, 282, 609, 476, 11152, 6592, 547, 581, 7610, 1746, 519, 19168, 1014, 5260, 13860, 8733, 7997, 563, 294, 327, 3570, 849, 7472, 1164, 2298, 23342, 267, 568, 519, 476, 273, 526, 4102, 16073, 540, 23342, 11451, 267, 543, 568, 15810, 547, 1831, 519, 4102, 16073, 540, 23342, 538, 519, 1158, 538, 476, 1001, 276, 563, 12626, 568, 519, 1893, 540, 519, 1533, 543, 568, 4922, 1031, 607, 513, 8059, 320, 21473, 8619, 563, 763, 9206, 540, 19168, 5161, 540, 1614, 8880, 13164, 630, 560, 686, 1186, 264, 540, 2699, 630, 9008, 1070, 4154, 630, 332, 1497, 264, 543, 3039, 630, 321, 18847, 5148, 519, 1614, 13164, 616, 519, 1482, 4463, 543, 8700, 282, 519, 1647, 6512, 12217, 513, 2947, 15304, 539, 3109, 5182, 538, 519, 8998, 540, 519, 4154, 6512, 267, 519, 7990, 2699, 6512, 6763, 585, 519, 1973, 838, 2683, 547, 3035, 519, 4182, 779, 7115, 281, 4154, 6763, 585, 19168, 779, 4853, 7777, 5763, 267, 543, 519, 2681, 3039, 3090, 2478, 519, 3638, 9341, 31140, 543, 2067, 2200, 540, 19168, 563, 3849, 2194, 539, 689, 19168, 12700, 585, 8866, 269, 918, 1497, 15610, 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 ]
[ 513, 1688, 1107, 610, 5639, 267, 610, 8289, 1107, 538, 5885, 741, 3460, 2509, 1967, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 1284, 6435, 454, 11514, 1464, 7126, 16855, 568, 513, 18758, 3919, 602, 2488, 3656, 14223, 543, 2924, 4027, 585, 4079, 543, 1453, 609, 9124, 269, 3776, 5234, 27192, 267, 15156, 543, 22602, 2232, 3540, 2924, 19374, 267, 6057, 543, 10714, 267, 12250, 1436, 267, 17418, 547, 1569, 547, 2877, 2533, 543, 2069, 267, 6760, 6408, 1436, 267, 543, 7130, 563, 2171, 4196, 1004, 609, 9124, 945, 616, 7264, 540, 16855, 269, 1284, 4196, 1004, 609, 9124, 540, 782, 6502, 267, 1519, 630, 8117, 711, 3908, 547, 264, 1004, 609, 7214, 610, 11095, 9124, 267, 1004, 609, 2790, 4576, 267, 1004, 609, 2168, 610, 10444, 9124, 267, 543, 1004, 609, 15779, 2634, 5945, 563, 11514, 1464, 7126, 16855, 24947, 519, 2686, 2418, 543, 2123, 5079, 540, 782, 1346, 5275, 938, 2533, 269, 1284, 1871, 4763, 543, 10014, 538, 782, 3344, 540, 938, 8116, 779, 4238, 269, 17859, 540, 707, 5198, 267, 14940, 267, 3656, 4567, 267, 4638, 10066, 267, 610, 4008, 3961, 267, 649, 616, 1934, 547, 948, 563, 2026, 519, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 32213, 4065, 1315, 5303, 29456, 543, 32113, 633, 5303, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 782, 519, 7399, 543, 649, 2132, 7301, 269, 1985, 3890, 3274, 7024, 621, 273, 12785, 3890, 2094, 814, 9202, 3890, 18715, 602, 621, 273, 814, 9202, 780, 272, 269, 2422, 1079, 31452, 267, 1109, 319, 343, 319, 1109, 15010, 4994, 540, 1016, 6783, 269, 1109, 319, 344, 319, 1109, 15010, 4994, 540, 1003, 538, 1016, 6783, 454, 273, 269, 18738, 1109, 319, 10113, 3890, 12452, 2594, 519, 1699, 1297, 267, 1287, 1847, 31452, 269, 30916, 2991, 1109, 319, 10113, 13237, 28812, 1572, 267, 1109, 319, 343, 319, 1109, 261, 1109, 319, 344, 319, 1109, 15884, 2141, 581, 15738, 547, 922, 1985, 4087, 994, 274, 269, 8844, 1109, 319, 343, 319, 1109, 1729, 519, 1985, 1875, 268, 24105, 5044, 267, 610, 3544, 540, 519, 6152, 952, 972, 568, 9039, 692, 1012, 8943, 585, 25065, 1084, 476, 273, 291, 21070, 692, 2162, 10084, 5358, 692, 3499, 5814, 28162, 269, 583, 559, 269, 5591, 22746, 292, 2211, 2750, 4003, 16963, 5035, 21070, 273, 291, 2715, 692, 1440, 10675, 703, 314, 6012, 316, 642, 3248, 1440, 10675, 703, 4737, 3248, 1440, 10675, 703, 897, 16963, 21504, 21070, 273, 291, 17301, 314, 6012, 316, 642, 264, 13634, 10472, 18192, 815, 642, 3248, 992, 815, 476, 271, 3248, 3712, 815, 476, 271, 3248, 10926, 21504, 703, 1985, 3890, 13634, 12921, 760, 10387, 27679, 305, 3298, 3890, 3248, 604, 630, 256, 13757, 9202, 28829, 13634, 628, 992, 1007, 3143, 22746, 292, 2211, 2750, 4003, 3890, 3248, 8679, 842, 1985, 815, 642, 314, 992, 6012, 3712, 10030, 30092, 2260, 9214, 618, 4737, 952, 897, 10301, 519, 1439, 540, 519, 1699, 4737, 454, 604, 630, 3712, 2652, 642, 314, 992, 4940, 26319, 264, 13634, 992, 10030, 3248, 3712, 815, 476, 271, 3248, 8679, 8873, 1985, 3248, 10926, 21504, 1630, 18978, 814, 9202, 3890, 13634, 12921, 760, 10387, 27679, 305, 3298, 3890, 3248, 8873, 4737, 2999, 642, 32324, 910, 476, 272, 13466, 630, 992, 2652, 642, 32324, 910, 476, 272, 30974, 897, 2999, 642, 314, 992, 4940, 26319, 11850, 10926, 1440, 10675, 20704, 18178, 10387, 27679, 305, 3298, 3890, 13634, 2260, 4787, 760, 8900, 9343, 454, 6112, 630, 992, 2999, 642, 32324, 30974, 642, 314, 992, 4940, 26319, 2652, 476, 271, 264, 13634, 992, 10030, 3248, 8679, 8679, 348, 7884, 2162, 5124, 5358, 692, 3499, 5035, 21070, 273, 291, 24998, 2187, 3698, 18178, 318, 24105, 318, 4900, 13448, 4311, 2187, 6112, 1582, 11859, 2999, 7003, 4311, 269, 11355, 273, 323, 264, 543, 7003, 4311, 269, 11355, 273, 323, 314, 1345, 11859, 8079, 2652, 476, 271, 912, 1345, 11859, 815, 1582, 11859, 1341, 476, 272, 454, 8873, 692, 3698, 6449, 8181, 9191, 1345, 267, 1654, 322, 273, 323, 2187, 12163, 22873, 658, 1125, 707, 1239, 2497, 1934, 563, 281, 6943, 1654, 322, 273, 323, 281, 5903, 314, 8266, 27776, 27663, 12163, 1345, 269, 11355, 273, 323, 815, 1654, 322, 273, 323, 454, 1345, 11859, 267, 1582, 13885, 815, 476, 271, 267, 476, 271, 454, 1345, 4732, 330, 760, 318, 24105, 318, 4900, 13448, 10797, 3698, 1985, 4311, 2187, 12163, 281, 337, 6943, 281, 703, 454, 12163, 343, 815, 1582, 269, 11355, 273, 323, 314, 1345, 11859, 6012, 1345, 13885, 2639, 1345, 13885, 815, 1582, 13885, 266, 272, 454, 604, 1582, 13885, 2652, 7003, 4311, 269, 11355, 273, 323, 314, 1345, 11859, 316, 2187, 1345, 11859, 267, 1582, 13885, 815, 1582, 11859, 266, 272, 267, 476, 271, 454, 1345, 4732, 330, 760, 318, 24105, 318, 4900, 13448, 4590, 8873, 1535, 692, 3698, 814, 9202, 4311, 2187, 12163, 281, 337, 6943, 281, 536, 944, 454, 12163, 604, 1582, 11859, 13843, 7003, 4311, 269, 11355, 273, 323, 2187, 8873, 8771, 454, 8873, 6936, 7884, 1012, 29203, 5811, 585, 25065, 1084, 476, 273, 291, 21070, 2274, 564, 24927, 8827, 692, 11742, 29203, 281, 1109, 302, 3799, 2020, 22129, 29203, 281, 1109, 302, 263, 272, 264, 607, 649, 616, 1210, 3586, 2230, 780, 9558, 17218, 9732, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 2641, 692, 258, 24639, 13048, 4041, 16774, 9215, 692, 6224, 22790, 476, 1015, 454, 10907, 1061, 766, 6341, 7204, 692, 1012, 24639, 13048, 4041, 16774, 744, 7473, 299, 12114, 6206, 16301, 4804, 692, 7072, 543, 6341, 7204, 12697, 3752, 1386, 10819, 20505, 454, 23330, 908, 10886, 2065, 4354, 557, 17564, 543, 5623, 5999, 454, 5475, 11264, 713, 1139, 548, 8894, 23005, 1456, 17266, 6341, 7204, 12697, 5769, 20113, 454, 618, 267, 596, 1058, 581, 2111, 547, 912, 30182, 10866, 540, 6184, 4624, 31849, 543, 10819, 454, 300, 7236, 4211, 848, 281, 10911, 312, 4306, 3201, 590, 6993, 563, 26183, 446, 272, 11512, 10343, 454, 320, 13565, 6341, 7204, 4643, 454, 338, 600, 7204, 267, 543, 4334, 454, 338, 17532, 543, 2789, 454, 338, 600, 7204, 4566, 563, 26183, 446, 273, 20472, 543, 946, 606, 454, 6016, 908, 8984, 454, 2017, 557, 563, 26183, 446, 274, 14419, 2582, 10386, 454, 680, 753, 563, 26183, 446, 275, 14419, 519, 3328, 454, 638, 1275, 540, 1202, 4624, 6266, 2676, 663, 3313, 513, 1644, 454, 338, 600, 7204, 1544, 563, 1015, 306, 268, 273, 623, 11286, 476, 275, 10866, 692, 1012, 29486, 446, 272, 4985, 543, 6341, 7204, 12697, 692, 23100, 766, 10386, 589, 20504, 766, 10386, 568, 513, 1106, 540, 14791, 602, 568, 4294, 547, 6266, 610, 10627, 2583, 540, 3688, 2901, 454, 845, 540, 14791, 4294, 547, 1354, 610, 1310, 513, 1184, 269, 769, 519, 5354, 540, 2665, 267, 519, 6266, 2099, 19670, 12349, 3688, 610, 454, 331, 1824, 610, 10627, 2583, 540, 3688, 3803, 2472, 32261, 695, 3612, 547, 16292, 17346, 610, 5561, 269, 634, 3483, 540, 10343, 7663, 8894, 29592, 610, 1310, 513, 1184, 547, 726, 532, 568, 547, 6430, 2436, 513, 2603, 25389, 24441, 4441, 630, 14588, 322, 5874, 264, 585, 1271, 454, 9080, 613, 14883, 766, 609, 4162, 540, 519, 6221, 269, 31849, 602, 14183, 891, 4441, 616, 5293, 610, 7608, 282, 1346, 602, 798, 711, 454, 335, 1042, 17827, 4441, 616, 15653, 269, 1234, 915, 539, 6266, 949, 581, 16271, 547, 476, 1911, 2600, 14791, 610, 267, 952, 12349, 267, 8120, 547, 454, 4433, 29347, 5874, 1040, 519, 18261, 585, 5491, 610, 10682, 630, 18034, 952, 16160, 4152, 568, 3238, 1916, 763, 8925, 547, 10343, 10386, 616, 630, 272, 264, 476, 1911, 2600, 14791, 543, 630, 273, 264, 1100, 14791, 563, 763, 3375, 540, 799, 835, 547, 3442, 568, 5631, 1759, 593, 519, 3790, 269, 589, 2268, 1031, 568, 519, 2736, 8894, 16838, 1448, 645, 7968, 281, 272, 454, 289, 7968, 815, 1942, 540, 14791, 829, 6221, 11305, 739, 540, 2663, 7816, 1813, 547, 513, 26843, 6221, 454, 4131, 623, 815, 6059, 8167, 540, 8919, 1161, 538, 519, 2603, 269, 634, 3375, 568, 912, 2252, 623, 9881, 486, 645, 7968, 267, 946, 10343, 10386, 563, 2252, 623, 3436, 645, 7968, 267, 946, 476, 1911, 260, 14791, 563, 2252, 623, 2999, 645, 7968, 855, 623, 568, 4756, 267, 946, 10343, 10386, 563, 2252, 623, 2999, 645, 7968, 543, 623, 568, 7123, 267, 1810, 1406, 8524, 780, 7078, 476, 272, 589, 1286, 10198, 2030, 11392, 2212, 2775, 32234, 689, 513, 1007, 18261, 538, 6266, 540, 476, 272, 267, 1822, 4559, 269, 634, 454, 322, 739, 540, 4152, 513, 2212, 2775, 10198, 693, 8391, 568, 8096, 269, 1015, 269, 1403, 513, 26843, 2212, 2775, 568, 19632, 593, 513, 454, 8364, 267, 519, 1942, 540, 17522, 547, 519, 10198, 1899, 547, 5372, 519, 2212, 2775, 568, 8096, 1911, 269, 898, 568, 4397, 602, 454, 21671, 1547, 4962, 2600, 547, 1547, 272, 2600, 540, 519, 2212, 2775, 32234, 786, 581, 26843, 269, 14419, 519, 6708, 454, 1993, 14791, 585, 519, 2212, 2775, 32234, 780, 306, 5357, 28513, 645, 7968, 815, 8096, 269, 272, 270, 15478, 1911, 815, 1547, 9826, 269, 5221, 1547, 9826, 9881, 486, 1547, 4962, 260, 547, 1547, 272, 9077, 1685, 10343, 10386, 593, 519, 2603, 780, 14085, 5677, 2188, 12797, 532, 10343, 10386, 5288, 269, 476, 1911, 2600, 14791, 1331, 912, 272, 269, 5384, 568, 2110, 563, 273, 269, 20121, 10614, 4152, 568, 2838, 563, 274, 269, 15310, 8982, 610, 30627, 3361, 676, 8524, 532, 1804, 2338, 540, 3688, 5012, 547, 14791, 6959, 563, 10907, 1061, 766, 10386, 666, 581, 4294, 547, 1312, 14487, 630, 12248, 338, 264, 543, 4756, 630, 1889, 5501, 906, 994, 1231, 18936, 269, 1717, 267, 14791, 540, 10305, 568, 811, 4922, 1031, 267, 865, 519, 4901, 1934, 6212, 454, 1410, 13254, 593, 14487, 10343, 10386, 563, 338, 600, 7204, 1544, 589, 1544, 602, 589, 1883, 3693, 540, 10343, 10386, 568, 519, 10386, 1544, 269, 9717, 519, 2603, 2450, 715, 267, 513, 10386, 454, 14588, 322, 5809, 519, 3732, 2450, 267, 519, 1544, 23403, 519, 3732, 2450, 267, 562, 282, 519, 1297, 540, 5439, 547, 581, 3144, 282, 543, 519, 10343, 22812, 20287, 454, 15893, 540, 5439, 267, 543, 519, 7355, 269, 589, 3099, 540, 10386, 4566, 666, 581, 1031, 269, 2368, 4566, 1289, 585, 5542, 540, 513, 2582, 3732, 2676, 23100, 766, 22812, 20287, 7355, 269, 543, 1866, 1289, 585, 1079, 610, 811, 5439, 267, 4470, 593, 519, 2470, 540, 519, 1544, 269, 634, 1739, 454, 321, 4361, 569, 6257, 930, 540, 519, 1114, 2010, 540, 10386, 4566, 269, 769, 713, 7110, 267, 938, 1445, 786, 454, 2041, 593, 2582, 10386, 267, 799, 568, 519, 14724, 543, 1034, 4122, 1031, 780, 306, 17532, 4149, 600, 7204, 12697, 454, 1103, 713, 1544, 267, 835, 4351, 3732, 568, 6537, 689, 519, 2603, 267, 543, 1169, 6221, 538, 519, 3732, 568, 8947, 454, 663, 9286, 607, 2901, 968, 16591, 892, 610, 968, 3698, 624, 633, 1848, 1403, 519, 3732, 3568, 7864, 982, 610, 3160, 547, 513, 884, 857, 8894, 30829, 1297, 540, 8919, 1161, 267, 524, 267, 519, 2603, 568, 7608, 282, 6382, 630, 604, 621, 3568, 811, 982, 524, 8919, 1161, 264, 519, 454, 14309, 568, 15653, 780, 272, 454, 288, 269, 966, 269, 3171, 3394, 29231, 267, 11192, 10866, 6513, 267, 476, 274, 6113, 1196, 1421, 1715, 3840, 281, 17755, 3863, 6953, 650, 267, 476, 1960, 272, 267, 6032, 269, 476, 27843, 1700, 4962, 563, 24746, 13048, 4041, 16774, 9215, 32516, 476, 1015, 20504, 766, 6341, 7204, 476, 1015, 306, 268, 274, 692, 291, 19302, 4149, 600, 7204, 12697, 454, 288, 5595, 1606, 600, 7204, 1544, 2636, 2921, 513, 2034, 3732, 952, 519, 2164, 540, 519, 3355, 3732, 616, 21016, 743, 340, 8894, 338, 633, 269, 13018, 267, 952, 519, 2298, 540, 519, 3355, 3732, 568, 1164, 267, 519, 2603, 666, 581, 7608, 1510, 519, 991, 585, 454, 320, 2034, 3732, 269, 1403, 519, 2298, 538, 519, 3355, 3732, 568, 4057, 267, 519, 2603, 568, 15653, 630, 663, 972, 568, 849, 1100, 991, 454, 1721, 513, 2034, 3732, 1040, 1280, 2164, 1063, 1346, 1079, 2665, 267, 513, 2034, 3732, 568, 1287, 3144, 543, 519, 454, 19477, 1202, 4624, 267, 1310, 799, 519, 2603, 568, 2901, 7608, 610, 15653, 593, 519, 4493, 540, 519, 2963, 5833, 454, 5228, 1312, 5439, 269, 589, 5595, 1606, 600, 7204, 1544, 23403, 519, 2450, 540, 519, 3355, 3732, 267, 519, 3398, 22812, 915, 454, 322, 761, 4997, 585, 519, 3355, 3732, 267, 519, 2450, 540, 519, 2034, 3732, 267, 543, 513, 2582, 2949, 10343, 1297, 563, 4415, 513, 5595, 1606, 600, 7204, 1544, 267, 1079, 2418, 616, 9138, 585, 519, 1297, 540, 26843, 3688, 538, 454, 1492, 1101, 3732, 267, 513, 2539, 1377, 267, 524, 272, 267, 543, 606, 5580, 1377, 267, 678, 272, 269, 1280, 3236, 267, 519, 2539, 1377, 1522, 581, 454, 18314, 8919, 1161, 543, 519, 5580, 1377, 1522, 581, 2947, 8919, 1161, 269, 1403, 519, 1297, 540, 26843, 3688, 538, 454, 1492, 1101, 3732, 568, 7864, 982, 610, 3160, 547, 519, 2539, 1871, 630, 328, 4318, 1421, 524, 272, 1070, 519, 2603, 568, 24565, 547, 581, 1434, 543, 454, 338, 600, 7204, 568, 2165, 3990, 269, 17957, 267, 952, 519, 1297, 540, 8919, 1161, 538, 519, 1101, 3732, 11224, 610, 454, 1410, 12923, 519, 5580, 1871, 630, 328, 4318, 1421, 678, 272, 1070, 519, 2603, 568, 15653, 269, 1403, 519, 1297, 540, 8919, 1161, 538, 519, 1101, 3732, 454, 17517, 12341, 538, 1063, 524, 272, 543, 678, 272, 267, 513, 2034, 3732, 568, 3144, 543, 519, 2698, 1297, 540, 1219, 1815, 8894, 339, 1161, 538, 1312, 5439, 568, 3379, 547, 513, 3791, 1871, 267, 524, 273, 269, 1280, 1383, 267, 524, 273, 1522, 581, 3670, 269, 1403, 519, 635, 8894, 321, 1441, 1297, 540, 8919, 1161, 1281, 711, 9765, 524, 273, 267, 519, 2603, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4009, 568, 513, 13551, 952, 543, 849, 1152, 952, 621, 814, 2185, 1318, 630, 322, 784, 745, 550, 264, 7285, 563, 8201, 630, 17273, 19340, 272, 2020, 263, 5723, 7374, 264, 568, 513, 13551, 952, 543, 849, 1152, 952, 630, 4120, 3600, 784, 5086, 645, 322, 784, 5086, 595, 322, 784, 5086, 667, 6393, 288, 29105, 568, 513, 32077, 639, 952, 543, 849, 1152, 952, 621, 814, 2185, 21412, 5011, 563, 8201, 630, 17273, 19340, 273, 2020, 263, 5723, 7374, 264, 568, 513, 32077, 639, 952, 543, 849, 1152, 952, 630, 28235, 5723, 322, 784, 936, 1467, 6195, 7249, 936, 1467, 7374, 7249, 936, 1467, 4696, 6393, 288, 29105, 568, 513, 4009, 952, 543, 1152, 952, 602, 814, 2185, 1318, 7285, 543, 2185, 21412, 5011, 269, 3414, 4214, 267, 513, 4009, 568, 513, 13551, 543, 849, 513, 32077, 639, 563, 8201, 630, 17273, 19340, 274, 2020, 263, 5723, 7374, 264, 568, 513, 4009, 952, 543, 1152, 952, 630, 4120, 3600, 784, 5086, 645, 322, 784, 5086, 595, 322, 784, 5086, 667, 264, 543, 630, 28235, 5723, 322, 784, 936, 1467, 6195, 7249, 936, 1467, 7374, 7249, 936, 1467, 4696, 6393, 2791, 666, 2141, 1397, 602, 513, 25521, 568, 513, 13551, 267, 32077, 639, 267, 610, 4009, 676, 9001, 519, 10096, 540, 891, 5546, 269, 1703, 2230, 930, 3773, 2081, 547, 6961, 6252, 9999, 2230, 25965, 543, 849, 32077, 4926, 267, 3254, 2630, 1384, 272, 269, 589, 6252, 568, 513, 13551, 952, 519, 32377, 4055, 21412, 780, 8201, 630, 17273, 19340, 275, 2020, 263, 5723, 7374, 264, 568, 25521, 269, 1403, 630, 28235, 3722, 322, 784, 936, 1467, 9720, 1070, 2916, 630, 5723, 7374, 264, 568, 11338, 513, 13551, 780, 273, 269, 589, 25521, 568, 513, 32077, 639, 952, 519, 32377, 2230, 13902, 780, 777, 328, 270, 1372, 7288, 11721, 3796, 270, 12293, 275, 11721, 1673, 318, 866, 325, 11025, 324, 5392, 764, 2801, 271, 322, 3451, 7251, 272, 321, 29300, 4366, 321, 276, 323, 2004, 280, 272, 26501, 280, 576, 321, 27219, 29616, 279, 325, 276, 4366, 7176, 22396, 10619, 322, 273, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 26666, 286, 516, 9679, 284, 272, 261, 21653, 284, 12895, 7257, 261, 12296, 284, 14596, 257, 29451, 8201, 630, 17273, 19340, 279, 2020, 11405, 692, 2690, 519, 606, 3355, 4137, 267, 1169, 5011, 2230, 21412, 543, 835, 5086, 568, 630, 13670, 317, 15132, 1070, 4061, 519, 7285, 616, 711, 21412, 269, 901, 568, 513, 32077, 639, 780, 2690, 519, 2034, 4137, 267, 782, 2185, 7285, 616, 21412, 855, 519, 5011, 616, 711, 269, 901, 568, 513, 13551, 780, 7078, 630, 17273, 19340, 275, 2020, 3674, 513, 32077, 639, 590, 26041, 2316, 300, 2464, 267, 9338, 310, 17751, 306, 267, 610, 2760, 2479, 513, 4009, 286, 5581, 1946, 780, 11405, 692, 288, 32077, 639, 814, 2185, 21412, 5011, 543, 513, 4009, 814, 2185, 21412, 5011, 543, 7285, 269, 4475, 267, 513, 32077, 639, 568, 513, 4009, 2899, 621, 814, 21412, 7285, 269, 901, 1505, 513, 32077, 639, 568, 12212, 513, 4009, 780, 7078, 630, 17273, 19340, 276, 2020, 8266, 3388, 596, 917, 827, 519, 4009, 630, 306, 304, 3918, 6393, 8201, 630, 17273, 19340, 280, 2020, 11405, 692, 288, 4009, 814, 2965, 782, 519, 2470, 540, 513, 25521, 267, 13551, 543, 32077, 639, 780, 19187, 2906, 602, 513, 23155, 6945, 19187, 2906, 519, 513, 10910, 4861, 639, 19187, 2906, 602, 513, 25351, 4120, 454, 263, 28235, 306, 304, 1706, 5537, 936, 1467, 2207, 264, 630, 28235, 306, 304, 322, 784, 936, 1467, 2207, 322, 784, 936, 1467, 10345, 322, 784, 936, 1467, 304, 305, 264, 630, 332, 4120, 590, 2207, 284, 332, 4120, 590, 304, 305, 284, 332, 4120, 1627, 10345, 284, 332, 4120, 1627, 3918, 284, 3445, 317, 15132, 994, 263, 28235, 10345, 1706, 5537, 936, 1467, 304, 305, 264, 630, 28235, 17876, 704, 335, 936, 1467, 304, 292, 994, 263, 4120, 10323, 304, 322, 784, 5086, 1627, 2207, 322, 784, 5086, 590, 304, 31319, 784, 5086, 661, 304, 305, 264, 630, 28235, 17876, 322, 784, 936, 1467, 304, 292, 994, 263, 4120, 1627, 17876, 322, 784, 5086, 681, 10345, 322, 784, 5086, 30040, 9928, 784, 5086, 590, 3918, 264, 630, 28235, 6347, 322, 784, 936, 1467, 2752, 322, 784, 936, 1467, 304, 10907, 784, 936, 1467, 20067, 2020, 5472, 519, 20312, 624, 539, 7285, 4055, 630, 3393, 317, 15132, 6393, 777, 328, 270, 1372, 7288, 11721, 3796, 270, 10082, 278, 11721, 1673, 318, 278, 321, 25851, 6858, 323, 659, 275, 322, 14983, 276, 22396, 322, 321, 323, 271, 3583, 277, 611, 4510, 322, 279, 2412, 322, 276, 6507, 1372, 4200, 275, 323, 2568, 278, 9032, 274, 322, 277, 5038, 5952, 280, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 26666, 286, 516, 9679, 284, 272, 261, 21653, 284, 12895, 7257, 261, 12296, 284, 14596, 257, 29451, 4137, 630, 17273, 19340, 2537, 994, 29664, 630, 17273, 19340, 2190, 2020, 2690, 4145, 476, 1626, 268, 866, 2697, 952, 519, 20170, 547, 616, 9338, 310, 17751, 306, 267, 590, 26041, 2316, 10933, 267, 610, 2760, 3020, 269, 16294, 707, 7744, 780, 8450, 811, 281, 1548, 1772, 7969, 29807, 2917, 634, 23893, 1306, 25065, 23516, 29807, 2917, 1656, 7969, 29807, 2917, 2496, 288, 13551, 568, 513, 32077, 639, 269, 589, 4009, 568, 513, 25521, 269, 589, 6252, 568, 2834, 269, 589, 4009, 568, 513, 13551, 269, 0, 258, 10789, 1305, 10035, 692, 16605, 2542, 547, 1451, 811, 827, 10789, 1305, 10035, 543, 875, 547, 946, 621, 780, 1012, 5590, 10035, 692, 13729, 3502, 566, 31947, 4118, 1411, 2760, 917, 950, 1305, 10035, 568, 2469, 547, 1402, 909, 269, 15394, 267, 596, 3513, 1294, 621, 950, 596, 1451, 827, 6061, 16526, 267, 1317, 585, 930, 2601, 6031, 1535, 283, 476, 274, 3884, 1405, 1434, 692, 1012, 1548, 1772, 5590, 3502, 566, 29845, 9502, 267, 29062, 692, 13729, 1532, 4265, 518, 10035, 568, 513, 6310, 10035, 585, 10503, 513, 1305, 676, 8204, 922, 2609, 610, 7713, 519, 3601, 602, 922, 2818, 1590, 14183, 269, 1280, 1383, 267, 595, 815, 2715, 273, 267, 275, 267, 276, 348, 18575, 513, 1305, 540, 1614, 2338, 281, 476, 273, 267, 476, 275, 267, 543, 476, 276, 692, 24169, 2262, 2055, 692, 13043, 568, 513, 1259, 540, 6061, 2042, 676, 1210, 2338, 543, 4834, 780, 23737, 2979, 2243, 692, 12385, 24136, 568, 519, 1353, 540, 2338, 267, 5546, 267, 543, 3270, 780, 13356, 728, 2979, 2055, 692, 2414, 2626, 513, 2979, 2243, 267, 596, 991, 547, 1101, 1174, 1018, 519, 2243, 568, 6998, 269, 4495, 596, 1174, 519, 2243, 267, 596, 666, 946, 707, 1702, 540, 2979, 547, 4194, 519, 1966, 780, 13043, 1702, 602, 4991, 596, 692, 288, 2178, 1620, 540, 2979, 568, 1898, 585, 1967, 538, 1082, 1114, 4610, 780, 1012, 5590, 3502, 566, 281, 9502, 1299, 6201, 692, 1607, 2337, 547, 1732, 5581, 5036, 543, 547, 1118, 873, 4443, 547, 2328, 269, 1284, 786, 946, 519, 1739, 3854, 5022, 585, 519, 9757, 1297, 1062, 5036, 281, 715, 815, 7849, 10606, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 1547, 1547, 1547, 348, 2098, 815, 6715, 619, 0, 258, 7089, 540, 2081, 540, 1818, 513, 5884, 1210, 519, 9704, 1269, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 6911, 8340, 519, 1297, 540, 2081, 540, 1818, 513, 5884, 1210, 519, 9704, 1269, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 16859, 296, 917, 602, 1269, 277, 256, 259, 568, 711, 519, 2953, 2626, 1317, 930, 12417, 666, 581, 5833, 1175, 676, 10047, 540, 519, 18062, 269, 1924, 972, 786, 581, 1082, 10221, 1431, 269, 594, 6836, 676, 21338, 1022, 1079, 6587, 8188, 543, 1210, 9764, 32545, 585, 519, 6967, 476, 275, 8188, 269, 7089, 540, 971, 12417, 568, 1269, 273, 256, 315, 16535, 558, 346, 277, 2410, 273, 12917, 275, 268, 272, 25631, 284, 273, 24585, 1428, 24585, 476, 277, 284, 5197, 16859, 3719, 2626, 2016, 568, 1175, 1269, 1789, 10608, 9320, 972, 616, 1869, 930, 10221, 1431, 799, 594, 993, 711, 7487, 780, 1892, 1703, 781, 1100, 19231, 602, 6587, 5011, 1058, 2040, 909, 547, 476, 278, 286, 1107, 1109, 335, 2678, 4877, 564, 22201, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 6734, 454, 1892, 7711, 335, 2678, 4877, 564, 22201, 3143, 9993, 1107, 1109, 3849, 640, 320, 8061, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 4962, 454, 1892, 1411, 723, 936, 12248, 539, 538, 1079, 2081, 269, 2659, 1269, 273, 256, 259, 1166, 2354, 519, 1101, 1079, 8188, 596, 13603, 267, 855, 1346, 616, 6697, 269, 2659, 1269, 277, 1422, 577, 5366, 476, 273, 259, 26717, 519, 1101, 1079, 8188, 267, 855, 596, 1205, 519, 1482, 5884, 952, 596, 4584, 1079, 1866, 602, 1131, 723, 1044, 6587, 1851, 519, 3803, 2185, 269, 1411, 1058, 1747, 519, 1269, 277, 259, 1101, 267, 1287, 4584, 519, 6587, 3068, 267, 799, 814, 1269, 276, 259, 5079, 269, 2334, 1269, 276, 259, 3379, 547, 707, 1269, 1789, 259, 568, 519, 4430, 3815, 1269, 277, 259, 1107, 1109, 305, 1601, 7085, 1731, 534, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 5881, 692, 25785, 835, 1297, 593, 835, 3068, 267, 1287, 3442, 1022, 540, 519, 476, 276, 6967, 2338, 547, 979, 593, 519, 6587, 3068, 269, 519, 6967, 476, 275, 2338, 666, 581, 11231, 538, 513, 8258, 538, 1269, 274, 256, 284, 277, 259, 10646, 762, 2081, 267, 8754, 519, 2626, 568, 476, 1789, 692, 1892, 4208, 568, 713, 1114, 689, 1250, 1505, 286, 1107, 1109, 3849, 640, 320, 8061, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 6860, 454, 1892, 1317, 596, 991, 547, 4368, 835, 1297, 547, 835, 3068, 269, 952, 596, 1450, 782, 476, 277, 2338, 547, 19582, 538, 2490, 835, 1880, 3068, 267, 596, 936, 12248, 676, 513, 3815, 540, 476, 277, 1107, 1109, 21837, 2372, 4883, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 5392, 692, 2080, 781, 2943, 1776, 1259, 540, 3206, 281, 1269, 277, 256, 259, 12417, 5258, 676, 519, 1269, 275, 256, 284, 2190, 259, 24364, 1623, 5471, 1845, 540, 519, 13306, 267, 865, 972, 616, 1269, 276, 1422, 10383, 476, 277, 284, 1789, 259, 2081, 780, 293, 1460, 1269, 272, 259, 630, 25669, 264, 693, 5377, 267, 543, 1022, 540, 1269, 276, 259, 1866, 693, 519, 1283, 267, 538, 1269, 276, 259, 2081, 780, 3086, 3314, 602, 596, 666, 17967, 519, 5884, 530, 270, 334, 23892, 519, 1283, 543, 5377, 547, 1397, 1269, 275, 259, 1114, 8188, 267, 865, 519, 6967, 2338, 666, 581, 6378, 538, 1269, 275, 24425, 275, 815, 476, 277, 259, 2081, 692, 259, 276, 1422, 9392, 476, 277, 815, 476, 1789, 6911, 763, 8188, 593, 513, 5884, 616, 26922, 547, 519, 14622, 593, 606, 12354, 320, 28353, 269, 1411, 616, 2953, 538, 4098, 609, 1269, 277, 256, 269, 259, 3767, 267, 649, 1294, 875, 1082, 2053, 649, 723, 936, 12248, 539, 269, 18564, 602, 585, 513, 6378, 1283, 14584, 540, 519, 12354, 320, 28353, 267, 799, 666, 581, 13042, 607, 1022, 540, 519, 1269, 277, 259, 2338, 267, 972, 616, 2185, 24364, 17602, 4293, 269, 1656, 607, 594, 723, 1175, 5018, 267, 1022, 540, 519, 3670, 8188, 1223, 581, 17479, 607, 519, 1283, 14584, 269, 1924, 1142, 11460, 729, 18886, 1269, 277, 1422, 9392, 476, 275, 815, 476, 2190, 259, 2053, 269, 19098, 585, 713, 267, 519, 1297, 540, 12417, 568, 4399, 2765, 346, 277, 256, 2410, 2190, 348, 815, 1422, 2765, 346, 24798, 2410, 2190, 348, 815, 1422, 7901, 539, 346, 1789, 20467, 6911, 295, 842, 952, 596, 4368, 606, 11460, 1287, 621, 814, 1269, 277, 259, 2147, 12417, 596, 1294, 1946, 676, 15914, 538, 1269, 273, 259, 8846, 2473, 267, 313, 865, 2626, 1058, 581, 4399, 2765, 346, 5197, 2410, 277, 13157, 1789, 6911, 1892, 4706, 2352, 547, 4952, 602, 269, 1107, 1109, 3849, 640, 320, 8061, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 5400, 454, 1892, 6423, 3180, 513, 18062, 621, 666, 581, 18202, 538, 4395, 4287, 610, 2427, 1811, 1107, 1109, 19425, 529, 21969, 1678, 541, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 6021, 0, 258, 674, 3633, 14110, 5085, 5522, 520, 845, 8468, 692, 1012, 27018, 30449, 595, 4592, 560, 1779, 692, 8379, 305, 2073, 476, 4962, 268, 736, 268, 1001, 277, 267, 476, 4905, 281, 1240 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3895, 4763, 543, 13784, 267, 3906, 666, 6536, 513, 9036, 2528, 602, 2418, 543, 24947, 782, 5520, 563, 11754, 816, 1133, 10940, 4437, 1162, 454, 4462, 10940, 12886, 616, 8456, 610, 11475, 602, 1860, 938, 1620, 267, 3527, 267, 543, 3664, 1510, 938, 6857, 4656, 269, 1452, 12886, 666, 723, 513, 2101, 1764, 593, 9036, 9698, 267, 3056, 547, 15490, 2126, 543, 17181, 540, 1978, 5520, 563, 22117, 619, 1058, 960, 547, 2697, 543, 2232, 891, 12886, 998, 2866, 543, 2069, 3292, 602, 3895, 4656, 543, 1582, 26190, 563, 21886, 5971, 7046, 9442, 454, 15411, 2792, 568, 1898, 538, 2870, 513, 9036, 2528, 602, 2418, 14619, 543, 13784, 269, 24285, 1058, 5000, 5520, 547, 2671, 741, 5380, 543, 2833, 267, 543, 8362, 6432, 547, 5955, 543, 10372, 585, 6454, 563, 3528, 2870, 606, 1604, 1141, 1930, 2792, 568, 9415, 267, 3906, 666, 2697, 543, 2232, 1761, 2152, 1354, 789, 1831, 2101, 2042, 563, 19119, 540, 31071, 24054, 281, 22436, 585, 31740, 543, 20871, 454, 25363, 13586, 9036, 9698, 7341, 666, 723, 3875, 2640, 585, 1312, 5520, 543, 3906, 269, 3371, 616, 930, 540, 519, 1883, 5383, 912, 268, 16842, 9441, 9547, 281, 1879, 5520, 1294, 602, 741, 3919, 2418, 14619, 543, 10014, 267, 789, 616, 811, 2693, 547, 1745, 13854, 609, 741, 960, 543, 8149, 547, 741, 16108, 563, 268, 20865, 12802, 281, 31740, 945, 1745, 12595, 543, 15197, 616, 811, 2693, 547, 3251, 609, 741, 3919, 585, 519, 1279, 2165, 267, 4227, 24826, 543, 2404, 3790, 563, 268, 24046, 2773, 281, 31071, 9698, 11942, 513, 2318, 960, 1604, 1141, 5520, 1745, 12592, 543, 7722, 267, 3056, 547, 2799, 7607, 543, 1732, 1870, 2164, 563, 268, 7457, 547, 3309, 13007, 281, 20871, 602, 4225, 9036, 9698, 616, 811, 2693, 547, 4482, 513, 3309, 7535, 540, 2816, 10457, 267, 4758, 873, 1569, 547, 513, 9962, 2039, 540, 1983, 543, 5380, 563, 268, 15474, 10639, 281, 20871, 602, 4225, 9036, 9698, 616, 9763, 811, 3870, 2406, 676, 5561, 267, 9520, 267, 543, 519, 1857, 267, 7393, 741, 10639, 543, 6216, 3239, 563, 3528, 5009, 9036, 9698, 267, 3906, 666, 1711, 513, 9036, 2528, 602, 2418, 4763, 267, 8992, 14619, 543, 10014, 267, 543, 11942, 9441, 6278, 543, 7607, 563, 7021, 5765, 12694, 281, 18601, 31875, 547, 31071, 24054, 454, 4407, 9036, 9698, 568, 2629, 585, 2870, 513, 4023, 543, 8537, 2324, 1604, 267, 621, 949, 3068, 1585, 2591, 543, 7496, 538, 519, 6388, 1184, 269, 1452, 2591, 949, 1331, 17499, 12886, 267, 3668, 540, 4656, 543, 2866, 267, 4187, 547, 1689, 267, 543, 23696, 4507, 543, 5773, 563, 3080, 2500, 4640, 585, 20408, 891, 2591, 568, 547, 1376, 676, 14344, 873, 269, 24285, 1058, 16175, 2232, 519, 2152, 543, 8362, 3343, 547, 1174, 873, 547, 1711, 2500, 3435, 269, 21278, 2866, 543, 2069, 585, 1312, 5520, 543, 3401, 666, 849, 948, 547, 7753, 891, 2591, 543, 3895, 513, 2528, 540, 13784, 563, 14071, 1590, 849, 5431, 602, 12886, 786, 3136, 547, 2291, 282, 519, 1883, 568, 547, 1711, 3157, 602, 25559, 873, 1848, 1107, 7917, 12389, 8725, 267, 7905, 540, 31044, 10263, 693, 519, 2160, 540, 12246, 16303, 454, 2005, 568, 1271, 547, 1491, 513, 11455, 1935, 547, 9036, 9698, 267, 5473, 782, 2157, 540, 519, 3919, 269, 24285, 1058, 1291, 676, 1383, 543, 3180, 2933, 18177, 585, 5009, 14619, 543, 10014, 269, 24727, 543, 5773, 1058, 581, 5781, 12649, 543, 15428, 547, 2327, 789, 5447, 609, 519, 3919, 779, 2418, 543, 3895, 9698, 269, 3958, 267, 2870, 3309, 6887, 543, 5009, 5698, 1851, 5520, 666, 948, 547, 2736, 1524, 7496, 543, 6536, 513, 811, 8537, 9036, 2528, 563, 7021, 5765, 2591, 543, 5466, 7496, 547, 9036, 9698, 949, 1491, 942, 543, 4674, 267, 855, 519, 2640, 540, 2870, 513, 4023, 543, 8537, 960, 1604, 616, 1713, 269, 24285, 945, 4225, 9036, 9698, 543, 1491, 14942, 3268, 4724, 5009, 14619, 543, 10014, 786, 6038, 5397, 519, 1967, 540, 741, 3906, 538, 519, 1279, 2196, 563, 763, 10020, 540, 15557, 281, 32010, 31071, 24054, 9024, 328, 2510, 454, 22117, 11429, 4249, 513, 2629, 1909, 538, 6117, 9036, 9698, 7341, 269, 589, 2528, 540, 14619, 543, 10014, 5956, 693, 519, 1283, 267, 609, 3401, 4259, 519, 3159, 543, 30191, 4507, 563, 2414, 3895, 9036, 9698, 267, 3401, 1590, 8362, 2232, 12886, 543, 7130, 1369, 741, 3906, 269, 901, 2882, 7598, 28102, 17849, 3157, 267, 3246, 3160, 3255, 585, 3318, 2208, 543, 1646, 267, 543, 2870, 513, 2528, 602, 2418, 4763, 543, 13784, 563, 22117, 619, 849, 723, 513, 5539, 547, 2327, 602, 782, 5520, 4309, 519, 2556, 2866, 543, 2069, 593, 9036, 9698, 269, 901, 666, 1331, 4763, 543, 10014, 2866, 267, 607, 1134, 607, 3246, 2200, 585, 5520, 547, 1451, 543, 1174, 1114, 5380, 543, 2833, 563, 5319, 1721, 1424, 31071, 24054, 24727, 454, 22117, 619, 1590, 849, 17997, 9036, 9698, 4507, 267, 8066, 5520, 18177, 585, 1022, 3527, 602, 616, 25641, 610, 21678, 269, 901, 2882, 5466, 1022, 20286, 610, 4145, 602, 8451, 543, 2921, 2962, 547, 2327, 602, 519, 9036, 3788, 513, 2922, 543, 22205, 1604, 585, 782, 5520, 563, 21953, 267, 3401, 1058, 711, 30391, 519, 1764, 540, 741, 5615, 543, 3527, 593, 9036, 9698, 269, 1635, 9781, 8537, 5615, 543, 5009, 513, 2528, 540, 14619, 543, 2463, 267, 3401, 666, 8300, 5520, 547, 798, 519, 1482, 267, 6038, 2870, 513, 811, 12581, 9036, 585, 782, 563, 23220, 7627, 31071, 24054, 281, 9751, 543, 4065, 454, 17809, 4575, 2866, 543, 2069, 568, 2629, 538, 5009, 9036, 9698, 269, 1452, 7341, 1683, 5520, 609, 519, 2556, 1702, 543, 1983, 547, 1174, 543, 6330, 9036, 9698, 2152, 267, 3056, 547, 513, 811, 8537, 960, 1604, 563, 16391, 3074, 666, 2936, 4763, 543, 10014, 2866, 3292, 602, 3382, 3584, 971, 607, 17499, 9186, 267, 2686, 16169, 267, 543, 12581, 2853, 269, 1452, 5721, 902, 666, 581, 5342, 998, 11925, 267, 2228, 6030, 267, 610, 835, 6823, 14633, 18006, 7886, 563, 32086, 543, 2069, 666, 849, 1331, 5718, 1646, 3292, 602, 1445, 593, 5009, 9036, 9698, 269, 24285, 666, 1451, 875, 547, 2697, 543, 2232, 741, 1378, 12886, 267, 3895, 513, 2528, 540, 13784, 267, 543, 17997, 4507, 602, 1489, 9036, 9698, 563, 3528, 10115, 538, 2866, 543, 2069, 267, 3906, 666, 1711, 513, 13781, 602, 568, 9280, 547, 6023, 9036, 9698, 2591, 543, 3895, 513, 811, 8537, 543, 3309, 960, 2528, 563, 13480, 2897, 24054, 543, 519, 8892, 281, 1744, 12686, 513, 14568, 4518, 4403, 454, 763, 12556, 540, 9036, 9698, 568, 6505, 267, 609, 6932, 4066, 543, 2853, 602, 666, 948, 3337, 513, 1732, 13781, 269, 634, 4797, 2208, 540, 6552, 960, 814, 519, 1761, 547, 2333, 13784, 585, 1346, 609, 9124, 610, 12391, 9021, 267, 543, 8441, 538, 3642, 666, 948, 9004, 9186, 543, 7130, 538, 17849, 543, 3260, 687, 563, 16391, 3074, 616, 849, 9301, 519, 2956, 540, 28622, 950, 621, 2501, 547, 9036, 9698, 267, 1620, 602, 1114, 9163, 543, 2833, 1590, 581, 2808, 950, 2870, 4507, 543, 5773, 269, 20074, 2834, 4763, 543, 10014, 2866, 3292, 666, 948, 5520, 1732, 1174, 543, 5660, 519, 2189, 5380, 540, 741, 9164, 563, 13010, 267, 9036, 9698, 568, 4742, 513, 1883, 3815, 538, 19788, 543, 20808, 1283, 13007, 267, 3226, 1851, 7820, 5481, 945, 1747, 513, 2178, 8561, 593, 1514, 5539, 543, 5683, 2853, 269, 14992, 602, 4225, 9036, 9698, 666, 2744, 513, 8013, 5413, 950, 621, 2501, 547, 16461, 1746, 543, 20808, 5520, 563, 2026, 9036, 9698, 5170, 547, 11457, 267, 3906, 991, 547, 3251, 909, 547, 4266, 609, 519, 5767, 3466, 543, 2853, 269, 1635, 26724, 9036, 9698, 543, 2921, 14942, 3268, 547, 1711, 513, 811, 8537, 543, 4023, 2324, 1604, 267, 3906, 666, 28231, 519, 2640, 540, 513, 6126, 543, 7722, 13781, 563, 1103, 3932, 267, 9036, 9698, 568, 4105, 538, 2870, 513, 4023, 543, 8537, 2324, 1604, 269, 898, 5849, 602, 1169, 9441, 568, 5701, 609, 2463, 543, 31717, 640, 267, 7488, 540, 741, 5198, 267, 4008, 267, 610, 4282, 269, 1635, 5009, 9036, 9698, 267, 3906, 666, 6536, 4763, 267, 2333, 9441, 6278, 267, 543, 2087, 2949, 7607, 563, 25363, 13586, 9036, 9698, 7341, 949, 2154, 1713, 4674, 543, 2200, 267, 855, 519, 2640, 616, 1134, 4502, 621, 269, 24285, 1404, 513, 2629, 1909, 538, 6117, 9036, 9698, 267, 4259, 519, 3159, 267, 30191, 4507, 267, 543, 5009, 513, 2528, 540, 14619, 543, 10014, 269, 28304, 2591, 543, 5466, 7496, 547, 9036, 9698, 3340, 513, 7029, 547, 5571, 2069, 543, 2866, 563, 763, 2104, 540, 9036, 9698, 5654, 9621, 267, 609, 6932, 2853, 543, 4066, 602, 666, 2417, 4434, 9036, 9698, 543, 3337, 513, 1732, 13781, 269, 898, 568, 909, 547, 3906, 547, 9784, 891, 2242, 543, 3895, 513, 2528, 540, 14619, 543, 7862, 563, 1432, 1281, 6278, 1611, 538, 519, 9036, 888, 13480, 2897, 6278, 4016, 547, 519, 6708, 547, 799, 5520, 616, 14156, 4448, 543, 8149, 547, 741, 960, 267, 741, 9164, 267, 543, 519, 3919, 607, 513, 2898, 269, 898, 3322, 513, 2631, 540, 11428, 267, 15131, 267, 543, 513, 2178, 7287, 547, 3565, 9797, 547, 519, 2754, 779, 1967, 563, 1432, 568, 606, 1383, 540, 960, 6278, 888, 2304, 1383, 540, 960, 6278, 1223, 581, 606, 9441, 945, 9846, 4422, 1657, 543, 3564, 741, 2816, 9021, 267, 8362, 2535, 919, 538, 2319, 3785, 267, 3091, 5499, 2093, 267, 543, 9727, 513, 9758, 6612, 585, 8236, 1312, 2123, 543, 10721, 3853, 563, 3963, 568, 6278, 1271, 538, 519, 9036, 888, 13480, 2897, 6278, 568, 2629, 1317, 621, 2047, 5222, 9441, 2773, 267, 2816, 9547, 267, 543, 2949, 10721, 1967, 269, 1621, 3042, 5520, 616, 811, 11327, 267, 3860, 267, 543, 10121, 269, 1358, 3565, 547, 513, 2318, 960, 1604, 543, 948, 6536, 513, 2528, 540, 5698, 543, 5647, 563, 1432, 616, 519, 1614, 1292, 3334, 540, 960, 6278, 888, 763, 1614, 1292, 3334, 540, 960, 6278, 616, 966, 580, 528, 281, 901, 4016, 547, 519, 1164, 2157, 540, 1648, 267, 15131, 267, 543, 6043, 602, 5520, 3142, 547, 741, 960, 269, 667, 539, 1709, 281, 667, 539, 1709, 3322, 1373, 9244, 8149, 547, 835, 779, 2816, 543, 4743, 513, 2631, 540, 4644, 543, 20106, 689, 621, 269, 12559, 26975, 281, 12559, 26975, 568, 519, 1533, 1141, 5520, 616, 4628, 27153, 538, 741, 4247, 267, 9561, 3950, 540, 942, 543, 4743, 513, 2620, 2631, 540, 18399, 563, 1432, 1772, 31287, 22580, 543, 4208, 6496, 898, 17460, 888, 32715, 2465, 6278, 568, 519, 3929, 4276, 543, 7029, 5520, 723, 2509, 741, 3919, 269, 898, 6927, 1317, 7722, 5520, 616, 811, 12592, 267, 11327, 267, 543, 2693, 547, 3251, 609, 519, 2754, 269, 898, 9797, 5222, 9441, 1134, 5630, 267, 2816, 9547, 267, 543, 2949, 10721, 2773, 269, 0, 288, 5153, 8386, 28157, 6651, 585, 30488, 454, 13981, 519, 20845, 609, 29069, 15634, 568, 513, 15626, 20089, 267, 543, 7064, 547, 519, 13418, 540, 2228, 2200, 267, 621, 814, 1831, 811, 3015, 982, 2479, 1354, 269, 29069, 15634, 568, 519, 2257, 540, 1697, 12332, 543, 973, 2787, 540, 519, 20845, 267, 543, 621, 568, 2629, 585, 8308, 23187, 519, 10096, 540, 519, 20845, 545, 18627, 269, 769, 713, 1900, 8386, 9912, 3391, 585, 14987, 267, 649, 786, 2263, 875, 547, 1451, 519, 20845, 2228, 609, 29069, 15634, 267, 1210, 1585, 2200, 543, 2228, 20845, 5049, 2139, 563, 3721, 476, 272, 281, 4855, 519, 9406, 6732, 20845, 4147, 454, 763, 1101, 1900, 538, 707, 3460, 547, 1565, 519, 20845, 609, 29069, 15634, 568, 547, 1265, 519, 1318, 2228, 20845, 1362, 269, 26597, 2200, 899, 570, 691, 2465, 548, 304, 584, 534, 267, 20845, 2593, 267, 543, 1866, 2709, 1164, 7779, 2228, 20845, 5049, 609, 29069, 15634, 269, 6733, 585, 513, 18019, 543, 4810, 3760, 547, 2327, 2500, 1565, 563, 3721, 476, 273, 281, 13760, 519, 17943, 454, 6524, 18167, 883, 29069, 15634, 267, 621, 779, 1898, 547, 1174, 519, 17950, 540, 20845, 545, 12428, 269, 6732, 20845, 5049, 1419, 1376, 609, 3450, 519, 12428, 9904, 543, 2596, 12332, 269, 25800, 3054, 609, 891, 9238, 547, 723, 513, 2178, 5748, 563, 3721, 476, 274, 281, 6258, 519, 16390, 540, 29069, 15634, 454, 307, 1690, 15634, 814, 513, 1305, 540, 3652, 12044, 519, 1697, 12332, 540, 20845, 545, 1913, 543, 2453, 269, 1452, 3652, 1331, 4162, 540, 5022, 267, 971, 607, 1627, 531, 336, 531, 1695, 543, 594, 16223, 17304, 267, 607, 1134, 607, 3652, 585, 20436, 566, 543, 16069, 269, 6875, 707, 942, 547, 1451 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27471, 3086, 602, 649, 723, 938, 1592, 540, 10785, 267, 649, 666, 1376, 12719, 519, 670, 9476, 323, 528, 742, 3845, 1063, 873, 269, 1677, 798, 713, 267, 649, 786, 581, 1210, 519, 2387, 7251, 626, 13237, 1599, 689, 519, 2387, 2675, 27251, 4732, 6312, 658, 6155, 2700, 319, 5399, 269, 901, 1599, 3217, 1079, 5036, 540, 2798, 543, 7024, 513, 5119, 540, 9883, 1063, 1142, 6292, 540, 2798, 780, 6524, 649, 666, 946, 519, 2387, 7251, 626, 13237, 1599, 267, 649, 991, 547, 1349, 519, 4143, 1239, 689, 938, 14449, 269, 13018, 267, 649, 991, 519, 834, 5793, 1640, 18386, 16557, 257, 543, 834, 338, 16577, 18386, 16557, 257, 585, 1142, 4541, 538, 1142, 10471, 269, 1284, 666, 798, 713, 1210, 513, 8520, 1384, 3499, 7090, 454, 23251, 1734, 815, 29129, 1721, 4541, 538, 10785, 912, 825, 1535, 815, 11713, 825, 586, 815, 11713, 825, 585, 4395, 538, 546, 272, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 1535, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 257, 14963, 2020, 825, 585, 4395, 538, 546, 273, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 586, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 19312, 7481, 825, 1253, 815, 3845, 6983, 23251, 18828, 15126, 3287, 1070, 12639, 15126, 12169, 4917, 825, 9883, 6910, 18828, 269, 2381, 5560, 626, 4917, 7884, 1103, 713, 3009, 267, 649, 1101, 1711, 606, 8900, 1592, 1572, 2387, 23251, 1734, 18269, 901, 786, 4558, 519, 670, 9476, 323, 528, 742, 9883, 1063, 519, 10785, 538, 519, 1079, 14449, 780, 9202, 267, 649, 946, 513, 8520, 547, 621, 4733, 936, 1142, 4541, 538, 519, 2387, 17839, 1115, 319, 1592, 269, 1280, 1142, 4541, 267, 649, 1349, 519, 4143, 1239, 689, 519, 2387, 323, 272, 319, 543, 2387, 323, 273, 319, 14449, 543, 4558, 873, 538, 519, 4632, 2387, 343, 319, 543, 2387, 344, 12452, 6606, 269, 1452, 4632, 616, 8638, 540, 8638, 267, 1141, 1142, 6418, 1592, 3568, 519, 834, 5793, 1640, 18386, 16557, 257, 543, 834, 338, 16577, 18386, 16557, 257, 585, 513, 1880, 4541, 780, 5629, 649, 723, 938, 1239, 267, 649, 666, 946, 519, 2387, 7251, 626, 13237, 1599, 547, 5173, 519, 9883, 1063, 519, 10785, 538, 519, 1079, 14449, 269, 1284, 1287, 4558, 519, 5934, 3845, 538, 519, 2387, 23251, 1734, 319, 1592, 780, 7661, 267, 649, 666, 1711, 513, 3308, 6041, 540, 938, 4681, 1210, 519, 2387, 572, 629, 1941, 319, 5399, 1384, 3499, 7090, 454, 4206, 815, 19073, 6185, 1092, 20988, 20719, 257, 17839, 564, 257, 2433, 10785, 267, 834, 295, 9476, 323, 528, 742, 3845, 9899, 9883, 348, 994, 338, 985, 269, 8663, 7120, 3287, 815, 834, 17839, 564, 2580, 586, 815, 834, 295, 9476, 323, 528, 742, 3845, 2580, 1239, 815, 17093, 994, 10823, 269, 21683, 13640, 4461, 269, 26303, 20719, 262, 325, 2632, 25915, 9166, 476, 1839, 348, 994, 10823, 20481, 10797, 4206, 30419, 32269, 2891, 10177, 653, 626, 27133, 5091, 626, 1734, 318, 273, 27406, 2580, 8161, 815, 8771, 994, 7884, 1103, 713, 3009, 267, 649, 1101, 1711, 513, 2387, 10574, 20988, 319, 689, 938, 2387, 17839, 1115, 319, 543, 2387, 23251, 1734, 319, 8638, 269, 589, 2387, 10574, 20988, 319, 568, 513, 3349, 540, 1239, 267, 2147, 547, 513, 22369, 269, 1284, 1287, 946, 519, 2387, 338, 985, 269, 8663, 7120, 13237, 1599, 547, 1711, 513, 3046, 4729, 540, 938, 1239, 269, 634, 2387, 343, 319, 4661, 23403, 519, 10297, 585, 519, 1535, 14289, 267, 543, 519, 2387, 344, 319, 4661, 23403, 519, 2418, 585, 519, 586, 14289, 269, 1284, 849, 946, 519, 2387, 10823, 269, 21683, 13640, 4461, 269, 26303, 13237, 1599, 547, 1305, 519, 13944, 2450, 585, 938, 4729, 780, 7661, 267, 649, 946, 519, 2387, 1729, 32269, 13237, 1599, 547, 4688, 938, 1239, 547, 513, 11483, 309, 3758, 269, 901, 3758, 666, 581, 8118, 538, 513, 22369, 1982, 899, 9185, 585, 2417, 2079, 780, 4517, 602, 781, 621, 256, 769, 713, 1770, 267, 649, 4121, 875, 547, 5659, 543, 5635, 1239, 689, 1079, 1114, 2959, 1210, 5124, 269, 1284, 1031, 519, 670, 9476, 323, 528, 742, 3845, 547, 2268, 519, 3017, 1063, 519, 10785, 538, 519, 1079, 14449, 267, 543, 1287, 2813, 513, 3308, 6041, 540, 938, 4681, 1210, 519, 2387, 572, 629, 1941, 319, 5399, 269, 901, 1184, 3238, 1896, 3268, 267, 855, 676, 8840, 621, 1524, 883, 4130, 4247, 267, 649, 941, 2111, 547, 10994, 1142, 835, 14350, 543, 1628, 909, 547, 938, 3803, 1267, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 677, 524, 23251, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 692, 5976, 1930, 2891, 336, 335, 810, 4671, 571, 653, 626, 6831, 3464, 318, 272, 12459, 5459, 2580, 834, 337, 8442, 607, 535, 912, 825, 546, 272, 815, 795, 5459, 269, 2903, 338, 6600, 18667, 31156, 5976, 1930, 2891, 336, 335, 810, 4671, 571, 653, 626, 318, 7116, 1881, 6831, 3464, 318, 273, 12459, 5459, 14824, 337, 8442, 607, 535, 912, 825, 546, 273, 815, 795, 5459, 269, 2903, 338, 6600, 18667, 31156, 17839, 1115, 815, 1592, 263, 3553, 5560, 272, 269, 12399, 3890, 1040, 5793, 7611, 263, 3553, 5560, 273, 269, 12399, 3890, 4297, 2020, 23251, 1734, 815, 29129, 1721, 4541, 538, 10785, 912, 825, 1535, 815, 11713, 825, 586, 815, 11713, 825, 585, 4395, 538, 546, 272, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 1535, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 257, 14963, 2020, 825, 585, 4395, 538, 546, 273, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 586, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 19312, 7481, 825, 1253, 815, 524, 23251, 18828, 15126, 3287, 1070, 12639, 15126, 12169, 4917, 825, 9883, 6910, 18828, 269, 2381, 5560, 626, 11723, 4206, 815, 19073, 6185, 1092, 20988, 20719, 257, 17839, 564, 257, 2433, 10785, 267, 834, 295, 9476, 323, 528, 742, 3845, 9899, 9883, 348, 994, 338, 985, 269, 8663, 7120, 3287, 815, 834, 17839, 564, 2580, 586, 815, 834, 295, 9476, 323, 528, 742, 3845, 2580, 1239, 815, 17093, 994, 10823, 269, 21683, 13640, 4461, 269, 26303, 20719, 262, 325, 2632, 25915, 9166, 476, 1839, 348, 994, 10823, 20481, 10797, 4206, 30419, 32269, 2891, 10177, 653, 626, 27133, 5091, 626, 1734, 318, 273, 27406, 2580, 8161, 815, 8771, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 536, 22324, 3957, 18581, 945, 5030, 538, 513, 18241, 3276, 992, 538, 519, 2295, 540, 519, 29268, 267, 4481, 538, 19578, 269, 18581, 6068, 547, 2263, 543, 1451, 827, 1007, 1919, 269, 2290, 1554, 267, 646, 23986, 731, 1010, 4587, 16254, 6158, 827, 513, 2462, 7552, 789, 941, 4058, 547, 979, 593, 676, 2933, 269, 901, 17275, 18581, 781, 7279, 543, 646, 4280, 1010, 16254, 267, 834, 1432, 1281, 1412, 10177, 767, 532, 4805, 262, 1611, 12482, 14367, 11078, 267, 645, 7578, 267, 6045, 267, 834, 11039, 18581, 267, 950, 649, 2161, 1412, 10177, 767, 10086, 621, 1797, 2469, 547, 3643, 1007, 4025, 267, 2743, 1007, 2828, 267, 543, 2119, 26345, 1426, 1701, 2701, 4797, 267, 834, 4517, 1412, 29671, 262, 1175, 1797, 1510, 938, 1920, 543, 2828, 11836, 721, 593, 713, 1808, 7552, 269, 1809, 1810, 1405, 5855, 267, 649, 3513, 1869, 1118, 6266, 540, 1007, 2828, 15323, 289, 10154, 1185, 811, 2055, 269, 1261, 9289, 267, 834, 1692, 798, 596, 5965, 585, 971, 513, 3460, 286, 1656, 1946, 798, 649, 991, 547, 3142, 1152, 1018, 781, 2556, 8119, 4256, 7015, 267, 25381, 267, 16403, 539, 538, 267, 834, 6546, 781, 513, 1390, 2243, 267, 18581, 256, 1879, 8600, 585, 513, 7552, 267, 649, 1101, 1589, 827, 1141, 649, 1616, 547, 979, 269, 1280, 3236, 267, 6148, 9683, 4190, 16506, 609, 922, 1082, 12647, 610, 5310, 27093, 17857, 609, 12902, 15113, 543, 9299, 597, 625, 269, 3973, 267, 649, 3640, 9660, 543, 9162, 602, 649, 1131, 991, 1282, 519, 7552, 855, 3314, 267, 8876, 1447, 2306, 3001, 1472, 4443, 543, 811, 6899, 3010, 289, 11035, 3773, 267, 834, 2005, 781, 849, 10930, 547, 3914, 938, 18353, 1282, 519, 24817, 2094, 3388, 568, 1930, 543, 6505, 269, 1284, 666, 3362, 2307, 1866, 585, 948, 952, 2877, 267, 899, 4466, 513, 17681, 6288, 610, 8949, 4672, 8645, 6300, 15323, 11900, 18944, 676, 1010, 16254, 262, 2984, 267, 18581, 7948, 1405, 7227, 585, 1010, 1378, 21088, 7045, 14693, 269, 2060, 513, 12837, 267, 646, 1767, 1434, 25742, 547, 645, 7578, 543, 25381, 267, 5577, 4771, 1394, 883, 1010, 3276, 992, 267, 31113, 29681, 540, 2312, 4544, 22839, 543, 11995, 3039, 4610, 7996, 547, 581, 8268, 910, 1318, 1934, 538, 519, 8748, 11068, 13523, 2829, 540, 29722, 267, 23794, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 543, 12676, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 3483, 540, 1272, 568, 547, 2661, 909, 547, 519, 25932, 267, 10544, 519, 5021, 1187, 267, 543, 2972, 547, 707, 2407, 652, 1247, 1565, 543, 3695, 513, 1007, 7045, 269, 3752, 334, 10707, 568, 835, 540, 519, 1034, 8049, 543, 3078, 1007, 2833, 602, 596, 666, 1039, 547, 707, 19943, 1592, 538, 707, 1272, 3460, 256, 32027, 782, 602, 11735, 267, 1934, 616, 930, 540, 519, 1655, 476, 1240, 9669, 585, 3752, 334, 13488, 538, 476, 1708, 274, 585, 4896, 281, 581, 621, 519, 1762, 610, 519, 2025, 2336, 5522, 8911, 568, 835, 540, 519, 1034, 2629, 2188, 952, 596, 723, 4956, 547, 2951, 4805, 269, 9282, 707, 1544, 585, 519, 5551, 10278, 991, 711, 581, 1932, 1454, 2143, 267, 621, 568, 513, 1590, 602, 596, 723, 606, 7291, 540, 519, 2238, 596, 786, 581, 2502, 538, 267, 865, 1287, 596, 3580, 723, 606, 2856, 540, 707, 3460, 269, 898, 568, 16601, 547, 1205, 707, 1433, 902, 2944, 585, 519, 3251, 563, 13014, 2386, 596, 1491, 1152, 519, 3688, 602, 616, 2556, 607, 952, 519, 9883, 596, 723, 547, 2951, 1369, 519, 2197, 616, 5318, 267, 621, 666, 581, 1500, 2653, 585, 596, 563, 9199, 767, 547, 707, 10278, 1282, 519, 1554, 454, 2691, 596, 12446, 1282, 1554, 942, 267, 621, 568, 606, 4443, 4305, 585, 596, 547, 1265, 1022, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 2136, 2276, 1315, 29268, 1315, 4639, 3345, 6239, 630, 8656, 267, 23794, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 12676, 264, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 1724, 281, 19484, 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 ]
[ 14142, 268, 12133, 1790, 3789, 270, 7531, 27309, 3582, 815, 8173, 14756, 503, 27936, 22047, 26406, 496, 31365, 12255, 14756, 482, 25520, 22047, 25203, 362, 21550, 485, 29219, 8147, 21928, 12255, 14756, 482, 18809, 19867, 378, 28996, 25203, 362, 21550, 485, 29219, 8147, 23946, 370, 13213, 498, 18713, 508, 10429, 370, 27381, 351, 19764, 499, 454, 417, 28187, 31563, 25203, 362, 21550, 485, 29219, 21251, 11858, 502, 21928, 30678, 12255, 14756, 482, 18809, 8147, 13213, 498, 18713, 508, 14395, 481, 16533, 484, 25263, 504, 420, 351, 360, 418, 490, 487, 421, 350, 374, 31365, 418, 493, 496, 24662, 7511, 12916, 491, 419, 377, 362, 25707, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 12255, 14756, 482, 18809, 20721, 510, 19404, 491, 14035, 491, 30317, 27381, 510, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 276, 454, 27447, 24731, 281, 476, 273, 692, 419, 353, 374, 28032, 489, 1109, 273, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 273, 454, 27447, 24731, 281, 476, 272, 692, 419, 353, 374, 28032, 489, 476, 274, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 278, 454, 27447, 24731, 281, 476, 275, 692, 419, 353, 374, 28032, 489, 476, 275, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 271, 454, 27447, 24731, 281, 476, 271, 454, 20701, 454, 8025, 2562, 32578, 815, 8173, 20069, 31365, 12255, 14756, 482, 30244, 26175, 491, 418, 509, 354, 19867, 378, 13601, 420, 486, 361, 15159, 11590, 490, 26166, 418, 509, 354, 19867, 378, 454, 26233, 507, 420, 371, 363, 15159, 8147, 26266, 355, 9463, 367, 12571, 482, 10254, 505, 417, 375, 374, 22047, 418, 490, 485, 421, 496, 486, 3847, 267, 1318, 8147, 30006, 493, 418, 361, 350, 10254, 353, 13161, 511, 18809, 25426, 368, 263, 3847, 1341, 630, 2431, 910, 2451, 264, 12262, 476, 273, 264, 7511, 12255, 21211, 25520, 339, 13759, 7511, 27962, 16533, 493, 10429, 367, 419, 367, 375, 454, 417, 28187, 31563, 16533, 493, 30678, 339, 13759, 10254, 503, 19404, 491, 13161, 364, 18777, 378, 419, 377, 362, 3847, 20992, 13232, 266, 272, 8147, 417, 28187, 31563, 27962, 30678, 16043, 500, 419, 511, 487, 30678, 339, 13759, 10254, 503, 19404, 491, 13161, 364, 18777, 378, 419, 377, 362, 2431, 20992, 13232, 454, 12571, 490, 28793, 25051, 497, 3847, 285, 284, 2431, 28793, 10254, 503, 417, 479, 506, 27882, 351, 23523, 359, 27064, 363, 8147, 13213, 498, 18713, 508, 3847, 454, 20701, 454, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 3406, 11900, 1068, 4311, 267, 15358, 281, 5903, 27776, 3910, 3077, 281, 703, 264, 9847, 703, 912, 1038, 952, 711, 15358, 912, 2018, 2132, 476, 271, 692, 1038, 561, 815, 7003, 25225, 994, 1038, 2451, 267, 1318, 815, 476, 271, 267, 561, 454, 1038, 1247, 2451, 2999, 1318, 912, 2018, 4571, 815, 2451, 1341, 630, 2431, 910, 2451, 264, 12262, 476, 273, 454, 2018, 952, 15358, 314, 13232, 316, 2999, 3077, 912, 3546, 2451, 815, 4571, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 1318, 815, 4571, 454, 1038, 2132, 2451, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 15358, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1691, 2639, 825, 3077, 815, 476, 1724, 454, 825, 1820, 4433, 269, 14142, 11900, 1068, 25225, 267, 3077, 4917, 0, 18257, 901, 568, 585, 1818, 519, 1412, 516, 1842, 262, 3349, 585, 519, 1239, 547, 979, 538, 454, 290, 3918, 12442, 570, 21764, 476, 2387, 326, 527, 18269, 319, 516, 1842, 319, 27210, 319, 573, 319, 21850, 263, 476, 1556, 3738, 10691, 715, 26097, 31377, 2387, 4067, 319, 570, 28692, 2910, 17247, 12442, 30016, 279, 10734, 514, 10691, 715, 26097, 31377, 2387, 21459, 12173, 319, 570, 28692, 2910, 17247, 12442, 30016, 279, 10734, 514, 10691, 715, 26097, 31377, 2387, 1440, 10675, 319, 570, 2562, 312, 19860, 263, 476, 272, 3738, 10691, 715, 26097, 31377, 2387, 9188, 5524, 319, 570, 28692, 2910, 17247, 12442, 30016, 279, 10734, 514, 10691, 715, 26097, 31377, 2387, 325, 1251, 319, 570, 2562, 312, 19860, 263, 476, 272, 3738, 10691, 715, 26097, 31377, 303, 6020, 300, 14473, 26395, 312, 630, 476, 2387, 573, 319, 12467, 264, 22164, 815, 5442, 301, 7495, 289, 667, 9128, 288, 17109, 8863, 12678, 4953, 815, 30016, 279, 2910, 17247, 12442, 815, 30016, 279, 10734, 514, 454, 18257, 692, 5814, 13668, 454, 5814, 21795, 607, 533, 333, 454, 5814, 942, 454, 5814, 3733, 21415, 27219, 454, 5228, 21795, 269, 1470, 1104, 13483, 331, 692, 4785, 2207, 318, 293, 11223, 815, 1930, 3488, 326, 603, 889, 318, 777, 328, 318, 12528, 17902, 5073, 4785, 2207, 815, 2475, 2207, 318, 293, 11223, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 303, 3008, 14684, 16704, 815, 2475, 2207, 318, 293, 11223, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 4785, 2207, 318, 293, 11223, 25379, 10797, 692, 3698, 4688, 23631, 1842, 6262, 870, 284, 1911, 1822, 271, 2187, 825, 5727, 547, 1205, 1592, 540, 1065, 657, 23099, 3097, 825, 519, 1293, 568, 519, 1297, 540, 13668, 547, 519, 16286, 269, 3962, 7662, 7024, 476, 1911, 1065, 657, 454, 825, 547, 1412, 637, 2541, 262, 713, 1310, 2907, 4946, 5638, 547, 3349, 267, 3097, 825, 1039, 7790, 26238, 24210, 1141, 1535, 568, 519, 2063, 9517, 538, 707, 3349, 563, 825, 594, 6415, 1152, 9494, 476, 277, 4632, 1318, 1631, 1317, 1034, 540, 519, 4632, 8120, 3097, 825, 616, 15745, 338, 602, 1246, 513, 1305, 2497, 543, 4061, 1223, 581, 3362, 3710, 689, 519, 2407, 12173, 7055, 825, 29185, 825, 598, 815, 3733, 21415, 27219, 269, 6618, 2891, 29985, 10676, 2580, 2475, 2207, 267, 623, 3008, 14684, 16704, 267, 834, 326, 527, 2580, 1347, 3553, 8782, 583, 325, 279, 5073, 825, 29250, 815, 1412, 10059, 2517, 777, 328, 3052, 603, 889, 2593, 22812, 1842, 527, 1559, 7055, 825, 585, 1535, 538, 1535, 9792, 263, 272, 267, 12248, 2187, 1038, 556, 336, 815, 13668, 10947, 263, 14766, 267, 2246, 327, 14352, 4785, 2207, 267, 303, 3008, 14684, 16704, 4917, 1038, 29250, 815, 556, 336, 7456, 3855, 9131, 10113, 262, 6012, 262, 14766, 23300, 1038, 17093, 4671, 11391, 815, 533, 333, 6185, 1092, 20988, 4590, 1038, 952, 263, 516, 336, 269, 758, 2187, 2018, 1065, 334, 2005, 655, 815, 556, 336, 12459, 5459, 454, 2018, 1065, 657, 32470, 4671, 11391, 815, 533, 333, 6185, 1092, 20988, 269, 5228, 18380, 263, 10517, 334, 2005, 655, 994, 2018, 17093, 4671, 11391, 815, 1065, 657, 32470, 4671, 11391, 314, 9131, 573, 12887, 4067, 12887, 1440, 10675, 12887, 21459, 12173, 12887, 9188, 5524, 12887, 325, 1251, 11172, 2639, 2018, 17093, 4671, 11391, 815, 17093, 4671, 11391, 8807, 650, 3534, 3488, 10807, 4848, 454, 2018, 13483, 331, 22182, 6958, 9347, 29254, 4671, 11391, 267, 598, 284, 935, 267, 2012, 8782, 516, 1842, 3299, 3097, 3546, 952, 318, 1410, 1235, 8782, 6572, 3299, 8137, 8782, 332, 903, 27942, 5073, 1038, 1820, 1412, 325, 564, 3481, 476, 1911, 9343, 7055, 1038, 942, 4732, 2748, 263, 272, 269, 271, 994, 825, 2132, 17093, 4671, 11391, 692, 1038, 19638, 692, 0, 1029, 10461, 1029, 815, 1412, 7770, 10202, 629, 7776, 7055, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 262, 476, 13213, 508, 26406, 354, 332, 784, 334, 12255, 29004, 362, 18021, 497, 28847, 4289, 815, 1496, 273, 267, 276, 267, 2537, 267, 2918, 267, 3374, 267, 4343, 267, 4510, 267, 7871, 267, 2568, 267, 7761, 267, 5952, 267, 9834, 267, 10755, 267, 14689, 267, 22145, 2639, 22772, 301, 684, 828, 815, 476, 7367, 454, 12506, 815, 476, 271, 454, 754, 815, 7003, 17338, 994, 13232, 815, 630, 12506, 1341, 1439, 8358, 273, 454, 6112, 630, 12506, 10922, 1439, 264, 10778, 1038, 952, 1265, 301, 684, 828, 283, 1592, 314, 13232, 14158, 2018, 1439, 815, 4571, 268, 272, 454, 2018, 4571, 815, 630, 12506, 266, 754, 8358, 273, 454, 1038, 8640, 1265, 301, 684, 828, 285, 1592, 314, 13232, 14158, 2018, 4395, 815, 4571, 266, 272, 454, 2018, 4571, 14352, 12506, 266, 754, 8358, 273, 454, 1038, 3116, 912, 2018, 1820, 1592, 314, 13232, 3910, 4571, 454, 2018, 2736, 454, 604, 630, 12506, 3436, 1439, 2187, 825, 1820, 834, 2254, 1265, 5016, 0, 3698, 554, 8457, 328, 3799, 267, 535, 267, 512, 2187, 825, 952, 562, 2525, 272, 281, 825, 2132, 1820, 6600, 257, 346, 325, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 14602, 502, 476, 272, 423, 366, 486, 10563, 505, 494, 425, 490, 494, 14602, 482, 2715, 339, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 29306, 494, 10563, 502, 362, 422, 372, 368, 30319, 1701, 264, 476, 1948, 535, 29306, 494, 424, 482, 506, 512, 423, 350, 506, 476, 272, 423, 366, 486, 10563, 505, 494, 425, 490, 494, 14602, 482, 10563, 502, 362, 422, 372, 368, 30319, 563, 825, 554, 8457, 328, 3799, 268, 272, 267, 535, 267, 476, 277, 1922, 2389, 994, 825, 1820, 6600, 257, 346, 325, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 14602, 502, 2715, 333, 348, 423, 366, 486, 10563, 505, 494, 425, 490, 494, 14602, 482, 2715, 339, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 29306, 494, 10563, 502, 362, 422, 372, 368, 30319, 1701, 264, 825, 1948, 535, 29306, 494, 10563, 508, 486, 32629, 498, 476, 17432, 506, 32174, 506, 14602, 502, 10563, 505, 494, 425, 490, 494, 14602, 482, 512, 423, 350, 506, 10563, 502, 362, 422, 372, 368, 30319, 563, 825, 554, 8457, 328, 3799, 268, 272, 267, 476, 277, 1922, 2389, 267, 512, 2020, 7315, 16211, 263, 274, 267, 272, 267, 274, 264, 0, 3269, 3269, 273, 269, 604, 423, 361, 372, 14602, 482, 10563, 507, 368, 424, 504, 358, 17432, 368, 10563, 366, 360, 423, 366, 486, 424, 356, 372, 424, 503, 478, 14091, 495, 494, 423, 366, 486, 10563, 486, 502, 267, 10563, 501, 364, 424, 480, 364, 422, 372, 364, 425, 502, 372, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 422, 366, 490, 476, 17432, 502, 29306, 361, 21844, 367, 482, 424, 480, 364, 32174, 496, 27338, 14091, 480, 502, 424, 502, 353, 32629, 498, 21844, 367, 482, 424, 480, 364, 422, 372, 364, 423, 354, 376, 14091, 356, 490, 423, 497, 506, 424, 489, 506, 424, 502, 353, 7531, 424, 502, 486, 424, 489, 506, 454, 283, 28990, 483, 423, 510, 354, 11417, 424, 366, 360, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 476, 1015, 454, 423, 495, 494, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 476, 1428, 454, 424, 500, 368, 423, 500, 353, 10563, 501, 364, 424, 480, 364, 14602, 482, 476, 17432, 502, 424, 489, 353, 21844, 365, 368, 32174, 478, 424, 504, 498, 286, 2433, 2608, 692, 283, 424, 370, 506, 423, 510, 354, 11417, 5611, 454, 20701, 11133, 272, 815, 10581, 9272, 3488, 424, 366, 360, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 1412, 4917, 11133, 273, 815, 10581, 9272, 3488, 423, 495, 494, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 1412, 4917, 641, 815, 3403, 3488, 424, 500, 368, 423, 500, 353, 10563, 501, 364, 424, 480, 364, 14602, 482, 476, 17432, 502, 424, 489, 353, 21844, 365, 368, 32174, 478, 424, 504, 498, 286, 2433, 1412, 2020, 604, 1566, 2652, 1412, 266, 12466, 825, 1820, 16325, 272, 266, 11133, 273, 994, 19197, 1566, 2652, 21029, 12466, 825, 1820, 16325, 272, 5991, 636, 273, 994, 19197, 1566, 2652, 24003, 12466, 825, 1820, 17301, 16325, 272, 265, 11133, 273, 4917, 19197, 1566, 2652, 23367, 12466, 825, 1820, 17301, 16325, 272, 2260, 11133, 273, 4917, 0, 18411, 272, 563, 423, 361, 372, 28990, 494, 29306, 368, 14602, 502 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1948, 901, 3009, 3096, 1239, 3177, 676, 808, 12195, 547, 5173, 519, 16977, 7158, 454, 1948, 540, 782, 540, 519, 2101, 10785, 538, 856, 3859, 1062, 780, 5228, 2979, 1104, 5609, 267, 5430, 267, 21762, 267, 14039, 267, 535, 7116, 267, 535, 11274, 267, 693, 534, 273, 454, 5814, 19523, 7531, 3698, 2638, 318, 19587, 263, 1718, 267, 20444, 326, 2187, 825, 952, 711, 7873, 912, 1038, 6318, 14136, 303, 3789, 13286, 263, 916, 326, 9239, 5035, 14136, 303, 3789, 13286, 263, 2750, 4003, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 454, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1065, 337, 4311, 27841, 9239, 3698, 1183, 680, 619, 318, 18091, 3287, 267, 524, 267, 547, 331, 284, 272, 269, 271, 324, 268, 277, 2187, 825, 5727, 306, 11510, 1535, 284, 344, 2275, 265, 7562, 12169, 264, 6746, 1227, 12163, 825, 886, 815, 476, 1911, 1822, 269, 271, 454, 825, 586, 815, 1535, 1341, 5609, 3287, 994, 825, 1247, 535, 11274, 5560, 858, 264, 285, 339, 565, 912, 1038, 546, 13448, 815, 1535, 910, 630, 344, 2275, 265, 7562, 12169, 4917, 1038, 546, 14729, 815, 546, 13448, 14370, 272, 269, 271, 2275, 265, 6523, 12169, 4917, 1038, 586, 6834, 546, 14729, 454, 1038, 886, 815, 546, 14729, 1948, 1607, 568, 519, 886, 540, 519, 3105, 21767, 267, 855, 1869, 780, 825, 2132, 586, 7531, 3698, 1205, 19553, 592, 1014, 318, 5228, 318, 684, 1460, 263, 684, 1460, 27908, 1047, 14369, 2187, 825, 8173, 1038, 20593, 1206, 689, 796, 1460, 942, 630, 514, 1984, 1047, 6948, 264, 547, 9168, 30486, 11261, 563, 825, 8173, 825, 2132, 796, 1460, 27908, 1047, 14369, 1315, 476, 279, 5038, 1822, 876, 269, 271, 1341, 476, 28192, 4962, 279, 278, 269, 276, 7531, 3698, 1205, 29223, 263, 17839, 564, 267, 512, 267, 796, 1460, 22710, 25716, 267, 9079, 337, 325, 25716, 267, 9764, 25716, 2187, 825, 8173, 1038, 6726, 919, 519, 2990, 540, 513, 4541, 269, 634, 2990, 568, 6027, 538, 22847, 630, 1492, 1611, 454, 1038, 3845, 689, 519, 3141, 547, 519, 3618, 264, 543, 519, 942, 538, 1296, 563, 1038, 634, 2990, 568, 2016, 538, 606, 17772, 328, 10364, 11282, 1062, 267, 543, 512, 284, 1220, 271, 1797, 454, 1038, 519, 2490, 540, 519, 5767, 1984, 22431, 780, 1038, 910, 4541, 519, 2012, 610, 4994, 540, 519, 4541, 269, 634, 4994, 1058, 581, 476, 271, 268, 8161, 539, 780, 1038, 910, 512, 942, 6027, 538, 1296, 2094, 519, 4332, 540, 2441, 269, 630, 528, 1984, 1047, 6948, 2094, 454, 16875, 476, 272, 3967, 476, 3192, 271, 476, 271, 281, 876, 952, 796, 1460, 22710, 568, 1031, 2020, 11434, 910, 9764, 18989, 3096, 606, 19406, 540, 519, 14248, 18967, 673, 10739, 1210, 513, 5858, 269, 901, 454, 1363, 568, 5594, 5488, 780, 1038, 910, 796, 1460, 22710, 18989, 1797, 602, 519, 3403, 942, 568, 2016, 538, 2192, 1047, 6948, 2094, 476, 272, 3967, 476, 3192, 271, 476, 271, 281, 876, 780, 1038, 910, 9079, 337, 325, 18989, 2242, 519, 4717, 514, 520, 1062, 547, 606, 20337, 531, 11282, 1062, 780, 1038, 7024, 281, 1323, 5044, 540, 3259, 476, 274, 267, 609, 519, 2990, 540, 519, 4541, 563, 567, 8173, 825, 6724, 815, 20886, 271, 269, 4343, 278, 271, 4200, 2767, 267, 476, 271, 269, 13078, 277, 3374, 11152, 267, 476, 278, 269, 21916, 280, 8064, 6349, 267, 476, 21857, 269, 7742, 26825, 2004, 267, 476, 6507, 269, 3393, 278, 8064, 277, 2764, 267, 476, 4366, 269, 20065, 278, 4792, 11152, 267, 476, 271, 269, 1822, 1822, 4391, 267, 26444, 1038, 476, 271, 269, 1822, 25171, 6187, 267, 910, 271, 269, 22650, 280, 5325, 5392, 267, 476, 14983, 5325, 273, 269, 6858, 275, 9340, 4037, 267, 476, 271, 269, 8182, 5325, 277, 8660, 267, 910, 271, 269, 10219, 22430, 10037, 3910, 1496, 271, 269, 278, 2537, 28178, 5780, 267, 476, 271, 269, 24879, 6507, 277, 7761, 12101, 454, 1038, 476, 274, 269, 4375, 275, 6858, 277, 4962, 267, 476, 8687, 269, 280, 8064, 271, 4200, 2004, 267, 476, 14530, 269, 2568, 273, 5379, 278, 1240, 267, 476, 10602, 269, 6858, 280, 279, 5655, 4649, 267, 476, 271, 269, 1822, 19740, 3445, 267, 910, 271, 269, 1822, 271, 6078, 5881, 267, 910, 271, 269, 1822, 4281, 279, 3445, 267, 26444, 1038, 476, 276, 5952, 1704, 269, 279, 1428, 4343, 278, 3066, 267, 476, 271, 269, 16573, 6924, 274, 3066, 267, 910, 271, 269, 28071, 7597, 275, 1240, 3910, 1496, 272, 269, 1822, 16573, 8618, 267, 476, 271, 269, 28318, 278, 1556, 2537, 267, 910, 271, 269, 1822, 27888, 4029, 267, 476, 1911, 269, 275, 5038, 6872, 272, 5780, 12101, 454, 1038, 476, 9083, 269, 280, 4391, 6924, 272, 11152, 267, 476, 271, 269, 271, 267, 476, 271, 269, 1822, 22650, 7830, 267, 910, 271, 269, 1822, 271, 6246, 10844, 267, 910, 271, 269, 23713, 280, 5379, 6924, 267, 476, 3374, 280, 4200, 269, 4391, 273, 4510, 280, 10037, 267, 476, 271, 269, 26825, 24129, 5038, 267, 476, 271, 269, 271, 3910, 26444, 1038, 1496, 272, 269, 276, 2537, 278, 1015, 4097, 267, 476, 271, 269, 6021, 274, 4375, 275, 1015, 267, 476, 272, 269, 279, 5392, 7597, 272, 5655, 267, 910, 275, 269, 4649, 274, 28242, 4962, 267, 910, 2537, 269, 280, 6246, 277, 3066, 6795, 267, 476, 5392, 269, 4649, 280, 276, 4343, 11011, 267, 476, 271, 269, 1822, 26289, 5325, 267, 26444, 1038, 476, 271, 269, 1822, 271, 4281, 11025, 267, 910, 271, 269, 25484, 14530, 4029, 267, 476, 4489, 2412, 269, 23714, 6924, 275, 4200, 267, 476, 271, 269, 29900, 25148, 6434, 267, 910, 271, 269, 29580, 6872, 274, 6246, 3910, 1496, 276, 269, 1708, 6434, 278, 876, 267, 476, 271, 269, 271, 4366, 4343, 277, 2190, 267, 26444, 1038, 476, 272, 269, 19054, 31256, 4817, 267, 476, 4097, 269, 31256, 24496, 7906, 267, 476, 1691, 269, 278, 2764, 5325, 280, 10695, 267, 476, 1911, 269, 5325, 274, 3445, 280, 6021, 267, 910, 271, 269, 1822, 14138, 5881, 267, 910, 271, 269, 1822, 15171, 7871, 267, 910, 271, 269, 9826, 279, 4391, 1691, 267, 26444, 1038, 476, 24062, 275, 269, 278, 5379, 14096, 4037, 267, 476, 271, 269, 18891, 276, 2918, 6924, 267, 476, 271, 269, 14225, 7597, 272, 6187, 25662, 280, 269, 276, 3607, 277, 4037, 11463, 267, 476, 271, 269, 4962, 274, 279, 8618, 8064, 267, 476, 273, 269, 4366, 276, 4200, 272, 9262, 267, 476, 5392, 269, 4817, 275, 28192, 2537, 267, 26444, 1038, 476, 10844, 269, 6795, 279, 279, 4281, 4029, 267, 476, 13647, 269, 5780, 273, 275, 2190, 4366, 267, 910, 271, 269, 9826, 7742, 2568, 267, 910, 271, 269, 1822, 2004, 280, 11011, 267, 476, 271, 269, 9826, 280, 3607, 6021, 267, 476, 14338, 273, 269, 5392, 274, 25118, 4905, 267, 910, 271, 269, 275, 1240, 280, 7761, 1626, 267, 26444, 1038, 910, 271, 269, 25971, 277, 6507, 11463, 3910, 1496, 866, 269, 6245, 13932, 5038, 267, 476, 271, 269, 271, 5325, 27038, 4510, 267, 476, 271, 269, 6507, 273, 277, 4391, 10695, 267, 476, 27123, 269, 24487, 10441, 7906, 267, 476, 10204, 269, 4817, 275, 28510, 1789, 267, 476, 10619, 269, 28318, 280, 1839, 6734, 267, 26444, 1038, 910, 271, 269, 9826, 280, 8618, 10602, 267, 910, 271, 269, 1822, 271, 6246, 9032, 267, 910, 271, 269, 16573, 275, 3066, 4375, 267, 476, 275, 2764, 269, 4366, 273, 271, 2767, 5952, 267, 476, 271, 269, 2412, 279, 32180, 10037, 267, 476, 271, 269, 271, 5655, 28147, 8660, 3910, 1496, 1789, 269, 6187, 280, 280, 2420, 10602, 267, 26444, 1038, 476, 271, 269, 25484, 276, 3445, 4366, 267, 476, 272, 269, 278, 3583, 271, 6246, 5325, 267, 910, 4649, 269, 6344, 271, 3066, 7597, 267, 476, 4510, 269, 280, 5038, 278, 7830, 2767, 267, 476, 14530, 269, 4281, 275, 18597, 10619, 267, 476, 271, 269, 1822, 26783, 11011, 267, 476, 271, 269, 1822, 4962, 272, 4962, 267, 26444, 1038, 476, 271, 269, 1822, 31874, 7761, 267, 476, 25908, 269, 3393, 280, 28526, 1839, 267, 910, 271, 269, 27088, 29300, 5038, 267, 910, 271, 269, 22650, 5400, 277, 5038, 316, 6540, 825, 4541, 5332, 1868, 815, 18358, 1067, 322, 1722, 3299, 1412, 1597, 639, 3299, 1412, 24160, 3299, 1412, 332, 1513, 3299, 1412, 329, 17132, 3299, 1412, 338, 520, 1248, 3299, 1412, 584, 29104, 3299, 1412, 928, 31337, 23300, 825, 4541, 12173, 815, 7183, 454, 825, 4541, 16182, 343, 815, 7183, 454, 825, 952, 630, 338, 903, 269, 11437, 318, 16769, 13843, 630, 274, 267, 271, 264, 543, 568, 27349, 263, 17839, 564, 267, 630, 842, 30727, 610, 630, 529, 27349, 263, 17839, 564, 267, 630, 842, 4297, 2187, 1038, 2638, 318, 19587, 263, 17839, 564, 285, 284, 271, 267, 834, 763, 4541, 4994, 1590, 581, 2318, 23528, 1038, 2638, 318, 19587, 263, 17839, 564, 283, 279, 267, 834, 763, 4541, 4994, 1590, 581, 1447, 982, 476, 279, 269, 898, 568, 476, 271, 268, 8161, 539, 23528, 1038, 4541, 12173, 815, 4541, 5332, 1868, 314, 17839, 564, 2639, 1038, 4541, 16182, 343, 815, 4541, 454, 825, 3116, 912, 1038, 2638, 318, 19587, 263, 529, 27349, 263, 17839, 564, 267, 630, 1598, 24270, 834, 763, 4541, 1590, 581, 606, 8870, 610, 5569, 23528, 1038, 568, 18425, 8217, 815, 8771, 454, 1038, 4541, 318, 12294, 815, 4541, 31573, 4590, 1038, 585, 1775, 267, 533, 538, 26246, 263, 17839, 564, 5332, 1868, 2187, 2018, 952, 533, 31573, 3890, 2652, 4541, 318, 12294, 912, 3546, 4541, 16182, 343, 815, 1775, 454, 3546, 568, 18425, 8217, 815, 6936, 454, 3546, 2736, 454, 1038, 2638, 318, 19587, 263, 529, 18425, 8217, 2525, 12148, 267, 834, 763, 4541, 268, 11415, 1590, 581, 519, 2012, 540, 513, 4541, 32405, 825, 2638, 318, 19587, 263, 17839, 564, 16182, 343, 11203, 7183, 267, 5727, 296, 6415, 711, 2386, 875, 596, 3893, 713, 17079, 269, 901, 12582, 1405, 4755, 563, 825, 898, 666, 1405, 2731, 4755, 269, 1403, 596, 2811, 2542, 713, 621, 4440, 1705, 4755, 267, 865, 1946, 1810, 1405, 596, 798, 454, 672, 803, 513, 3870, 543, 4757, 803, 693, 642, 1731, 30004, 342, 848, 287, 326, 21166, 2593, 543, 2995, 803, 799, 3403, 1673, 1092, 596, 1031, 2676, 672, 799, 4528, 540, 9226, 596, 2811, 4881, 543, 6148, 1256, 5665, 1062, 286, 594, 9153, 547, 1331, 454, 672, 596, 538, 1250, 4633, 950, 594, 3398, 1250, 9142, 13815, 27969, 2020, 825, 952, 19523, 269, 11437, 318, 16769, 13843, 630, 274, 267, 271, 2187, 1038, 2638, 318, 19587, 263, 529, 27349, 6025, 267, 630, 15615, 267, 703, 24270, 834, 763, 4756, 512, 2115, 547, 581, 513, 1297, 23528, 825, 3116, 912, 1038, 2638, 318, 19587, 263, 529, 27349, 6025, 267, 630, 15615, 267, 703, 267, 1279, 24270, 834, 763, 4756, 512, 2115, 547, 581, 513, 1297, 1701, 2020, 825, 952, 796, 1460, 22710, 912, 1038, 544, 329, 323, 815, 1205, 19878, 1014, 5804, 4462, 1460, 6025, 265, 1911, 271, 269, 271, 994, 1038, 570, 815, 630, 332, 329, 323, 268, 25090, 15150, 275, 269, 276, 8358, 18458, 1839, 269, 271, 454, 825, 3116, 912, 1038, 570, 815, 630, 339, 268, 1220, 271, 269, 271, 8358, 1911, 269, 271, 454, 825, 29693, 318, 1706, 815, 6724, 314, 17839, 564, 16182, 343, 2639, 825, 5996, 815, 14039, 270, 5197, 269, 271, 454, 825, 513, 815, 29693, 318, 1706, 314, 271, 27994, 307, 265, 680, 320, 318, 1706, 314, 277, 2639, 825, 552, 815, 29693, 318, 1706, 314, 272, 27994, 307, 265, 680, 320, 318, 1706, 314, 278, 2639, 825, 594, 815, 630, 680, 320, 318, 1706, 314, 273, 27994, 307, 265, 680, 320, 318, 1706, 314, 279, 8079, 265, 935, 341, 454, 825, 700, 815, 630, 680, 320, 318, 1706, 314, 274, 27994, 307, 265, 680, 320, 318, 1706, 314, 280, 8079, 265, 935, 341, 454, 825, 530, 318, 1467, 815, 630, 680, 320, 318, 1706, 314, 275, 27994, 307, 265, 680, 320, 318, 1706, 314, 1015, 8079, 265, 935, 341, 454, 825, 9631, 815, 630, 680, 320, 318, 1706, 314, 276, 27994, 307, 265, 680, 320, 318, 1706, 314, 1556, 8079, 265, 935, 341, 692, 825, 530, 815, 530, 318, 1467, 910, 9631, 454, 825, 631, 815, 700, 910, 530, 318, 1467, 1948, 307, 7495, 302, 281, 5410, 519, 28303, 585, 795, 17132, 547, 726, 19513, 1934, 563, 825, 631, 815, 535, 7116, 29687, 1341, 14039, 267, 476, 273, 265, 7032, 264, 910, 14039, 692, 825, 952 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 6156, 11456, 5073, 3546, 2132, 6936, 454, 1038, 952, 9184, 2544, 10098, 314, 271, 6012, 273, 316, 2652, 9184, 2544, 10098, 314, 272, 6012, 272, 316, 2652, 9184, 2544, 10098, 314, 273, 6012, 271, 316, 8206, 8782, 567, 1412, 10778, 2018, 530, 284, 9184, 2544, 10098, 1496, 271, 6012, 273, 2639, 2018, 952, 530, 2525, 338, 912, 3546, 1820, 3488, 309, 10642, 528, 281, 4939, 338, 262, 4939, 333, 727, 994, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 1820, 3488, 309, 10642, 528, 281, 6156, 11456, 5073, 3546, 2132, 6936, 454, 825, 3116, 912, 1038, 733, 284, 271, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 6352, 6025, 629, 2544, 10098, 15892, 2018, 585, 795, 538, 2039, 263, 271, 267, 6352, 6025, 629, 2544, 10098, 15892, 3546, 952, 9184, 2544, 10098, 5157, 6012, 329, 316, 256, 8782, 567, 1412, 912, 7386, 733, 6834, 476, 272, 454, 1038, 952, 733, 2525, 280, 912, 2018, 1820, 18011, 5719, 340, 20653, 3873, 5073, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 692, 3698, 795, 4084, 22261, 3512, 324, 10031, 825, 1820, 3488, 309, 665, 17845, 844, 518, 28185, 541, 632, 18051, 334, 286, 630, 13678, 522, 340, 562, 14244, 264, 5073, 825, 2132, 3403, 14061, 12294, 14061, 11034, 1873, 603, 3488, 344, 5073, 476, 1948, 30469, 9618, 522, 2144, 549, 454, 22322, 18411, 1219, 3313, 309, 1112, 800, 29033, 2187, 825, 9343, 815, 18358, 9008, 12887, 13232, 12887, 869, 23300, 825, 897, 338, 815, 18358, 299, 12887, 300, 12887, 305, 23300, 825, 1948, 694, 579, 2742, 13274, 3873, 512, 1853, 547, 323, 553, 607, 897, 684, 553, 28075, 7699, 529, 20527, 642, 3218, 807, 454, 825, 585, 678, 538, 9343, 10778, 1038, 897, 272, 815, 1193, 16868, 11924, 262, 268, 299, 7055, 1038, 897, 273, 815, 1193, 16868, 11924, 262, 268, 300, 7055, 1038, 897, 274, 815, 1193, 16868, 11924, 262, 268, 305, 7055, 1038, 952, 4604, 314, 3712, 272, 316, 2652, 4604, 314, 3712, 273, 316, 2652, 4604, 314, 3712, 274, 316, 543, 536, 944, 29033, 314, 3712, 272, 8079, 10778, 2018, 2132, 4604, 314, 3712, 274, 2639, 825, 1948, 694, 579, 2742, 897, 10044, 512, 1853, 547, 323, 553, 607, 13274, 13757, 28075, 7699, 529, 20527, 642, 3218, 807, 454, 825, 585, 524, 538, 897, 338, 10778, 1038, 4737, 272, 815, 1412, 9008, 268, 262, 266, 1598, 6262, 994, 1038, 4737, 273, 815, 1412, 13232, 268, 262, 266, 1598, 6262, 994, 1038, 4737, 274, 815, 1412, 869, 268, 262, 266, 1598, 6262, 994, 1038, 952, 4604, 314, 992, 272, 316, 2652, 4604, 314, 992, 273, 316, 2652, 4604, 314, 992, 274, 316, 543, 536, 944, 29033, 314, 992, 272, 8079, 10778, 2018, 2132, 4604, 314, 992, 274, 2639, 825, 1948, 694, 554, 23662, 579, 2742, 15497, 635, 547, 323, 553, 28075, 7699, 529, 1303, 14244, 20527, 642, 3218, 807, 454, 825, 1647, 815, 1412, 13232, 5336, 262, 3248, 825, 13276, 272, 267, 13276, 273, 815, 1193, 263, 4900, 314, 271, 316, 22065, 268, 262, 266, 3712, 338, 314, 273, 25818, 1193, 263, 4900, 314, 273, 316, 22065, 268, 262, 266, 3712, 338, 314, 271, 7481, 825, 952, 4604, 314, 332, 1497, 316, 2652, 4604, 314, 1088, 272, 316, 2652, 4604, 314, 1088, 273, 316, 10778, 11434, 2132, 4604, 314, 332, 1497, 2639, 825, 13276, 272, 267, 13276, 273, 815, 1193, 263, 4900, 314, 271, 316, 22065, 268, 262, 266, 3712, 338, 314, 271, 25818, 1193, 263, 4900, 314, 273, 316, 22065, 268, 262, 266, 3712, 338, 314, 273, 7481, 825, 952, 4604, 314, 332, 1497, 316, 2652, 4604, 314, 1088, 272, 316, 2652, 4604, 314, 1088, 273, 316, 10778, 11434, 2132, 4604, 314, 332, 1497, 2639, 825, 2132, 8771, 692, 3698, 3313, 13510, 9005, 300, 7174, 29033, 264, 10778, 825, 9343, 815, 18358, 9008, 12887, 13232, 12887, 869, 23300, 825, 897, 338, 815, 18358, 299, 12887, 300, 12887, 305, 23300, 825, 814, 300, 7174, 815, 8771, 454, 825, 1948, 2357, 881, 320, 694, 1064, 545, 14244, 1965, 3712, 327, 5866, 20527, 642, 5451, 331, 5866, 454, 825, 585, 678, 538, 9343, 10778, 1038, 585, 524, 538, 897, 338, 10778, 2018, 1883, 815, 1193, 16868, 264, 1341, 25023, 1341, 1193, 6262, 994, 2018, 952, 711, 536, 944, 29033, 314, 4486, 8079, 10778, 3546, 2132, 6936, 454, 825, 2132, 814, 300, 7174, 692, 3698, 2357, 881, 320, 9852, 29679, 15856, 659, 7776, 2187, 825, 9206, 25716, 454, 825, 952, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 271, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 273, 6012, 271, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 271, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 273, 6012, 271, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 18011, 297, 690, 11456, 476, 272, 575, 534, 17924, 5073, 1038, 2198, 659, 7776, 18989, 454, 825, 3116, 912, 1038, 585, 1775, 538, 1319, 10961, 912, 2018, 585, 795, 538, 1775, 912, 3546, 952, 795, 2525, 262, 567, 1412, 912, 7386, 9206, 18989, 454, 7386, 952, 9206, 2525, 16178, 912, 13376, 1820, 18011, 5719, 340, 20653, 3873, 5073, 13376, 2198, 659, 7776, 18989, 454, 825, 2132, 2198, 659, 7776, 454, 18257, 8931, 672, 19638, 19638, 19638, 19638, 7531, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 6498, 454, 333, 284, 6358, 3488, 21745, 924, 522, 27089, 6446, 21350, 576, 964, 324, 10937, 28860, 281, 5073, 335, 284, 6358, 3488, 11133, 3266, 632, 620, 3258, 1143, 657, 5073, 320, 284, 333, 2260, 9230, 1015, 1262, 263, 335, 268, 272, 21875, 321, 14352, 333, 260, 9230, 1015, 1262, 263, 335, 268, 272, 4297, 4297, 2260, 9230, 1015, 1262, 263, 335, 268, 273, 21875, 322, 14352, 333, 260, 9230, 1015, 1262, 263, 335, 268, 272, 4297, 4297, 260, 1015, 454, 323, 284, 524, 265, 9230, 1015, 1262, 263, 335, 268, 272, 4297, 11924, 321, 265, 9230, 1015, 1262, 263, 335, 268, 273, 4297, 11924, 320, 265, 9230, 1015, 1262, 263, 335, 268, 274, 21875, 2745, 546, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 335, 25507, 9272, 3488, 21745, 924, 533, 281, 29125, 336, 25507, 9272, 3488, 21745, 924, 7117, 281, 29125, 4186, 11456, 284, 271, 454, 328, 284, 273, 454, 6112, 1775, 283, 335, 610, 1775, 283, 336, 912, 825, 952, 533, 260, 328, 2525, 271, 610, 7117, 260, 328, 2525, 271, 912, 1038, 733, 11456, 284, 4186, 11456, 266, 272, 454, 825, 1775, 284, 328, 266, 272, 454, 604, 733, 11456, 2525, 271, 912, 825, 1820, 3488, 306, 5073, 12828, 912, 825, 1820, 3488, 301, 5073, 672, 692, 672, 7531, 0, 272, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 26376, 4488, 292, 589, 12702, 296, 9474, 9590, 311, 302, 454, 5814, 4351, 454, 6112, 6936, 912, 333, 815, 703, 9272, 3488, 21745, 924, 513, 3067, 573, 1228, 632, 620, 684, 657, 281, 1412, 4917, 825, 952, 562, 285, 271, 912, 1038, 2736, 454, 2254, 553, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 19885, 267, 272, 2187, 825, 711, 553, 6910, 263, 12690, 27110, 263, 271, 267, 1015, 4917, 332, 4215, 284, 271, 454, 1721, 1775, 538, 2039, 263, 271, 19885, 267, 272, 2187, 825, 2923, 6834, 711, 553, 5157, 316, 270, 333, 454, 2745, 263, 2254, 553, 994, 2745, 9852, 4215, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 6498, 692, 320, 284, 6358, 2891, 14707, 924, 522, 562, 14243, 1067, 334, 14255, 3490, 8918, 281, 5602, 321, 30381, 454, 322, 30381, 454, 323, 30381, 454, 324, 284, 271, 454, 4186, 284, 272, 454, 6112, 630, 321, 2260, 1015, 256, 284, 271, 2187, 825, 952, 536, 270, 1015, 256, 284, 271, 912, 1038, 733, 284, 4186, 266, 272, 454, 825, 536, 284, 321, 2260, 1015, 3097, 2745, 263, 4186, 2020, 8931, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 290, 815, 10581, 9272, 2891, 14707, 924, 513, 2191, 520, 3120, 900, 11019, 290, 281, 27363, 293, 815, 16733, 280, 265, 290, 11924, 8182, 8358, 276, 454, 2745, 2891, 302, 27089, 900, 11019, 293, 20527, 281, 4939, 269, 273, 325, 257, 260, 293, 994, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 6498, 692, 3698, 524, 29266, 324, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7555, 2786, 585, 606, 6905, 942, 563, 8794, 513, 19257, 2928, 454, 2026, 16835, 616, 27248, 7068, 267, 789, 13842, 1769, 269, 1411, 666, 4894, 873, 689, 707, 10450, 676, 1210, 713, 4617, 1448, 563, 295, 836, 513, 11604, 593, 519, 18109, 2282, 519, 13675, 540, 16835, 887, 24031, 269, 1306, 519, 11604, 9356, 519, 1769, 693, 3781, 267, 621, 786, 581, 513, 1390, 16698, 585, 16835, 269, 1358, 786, 4734, 741, 20097, 4166, 1310, 596, 946, 713, 2241, 4480, 563, 12024, 26615, 27750, 543, 2067, 11041, 267, 24036, 568, 1776, 4617, 1448, 540, 16835, 269, 1924, 267, 596, 666, 20057, 548, 24036, 8869, 538, 519, 10627, 23588, 4609, 547, 1205, 7759, 540, 873, 563, 295, 790, 513, 12333, 454, 295, 3931, 513, 3318, 786, 581, 513, 1390, 4781, 952, 596, 666, 1405, 8399, 609, 519, 1657, 2409, 269, 6270, 513, 3028, 786, 711, 1152, 948, 596, 4894, 519, 16835, 689, 707, 1753, 267, 855, 891, 5578, 995, 7606, 786, 2673, 782, 519, 10627, 23588, 9634, 538, 707, 1753, 563, 289, 1846, 543, 5017, 723, 9838, 2934, 267, 855, 621, 2760, 1797, 789, 21078, 538, 519, 1482, 9566, 2010, 269, 634, 5449, 29084, 538, 9678, 267, 4158, 267, 543, 6456, 4025, 1141, 789, 1745, 5150, 563, 289, 520, 23588, 568, 711, 513, 1434, 1129, 267, 543, 621, 949, 3142, 930, 5739, 3676, 547, 707, 1753, 269, 1924, 267, 621, 781, 1434, 547, 1451, 968, 6343, 513, 10627, 9566, 5654, 899, 892, 547, 1118, 707, 10450, 10627, 6954, 269, 0, 306, 539, 2939, 8904, 8928, 8858, 513, 1804, 2039, 540, 2095, 19326, 267, 1818, 741, 2095, 6384, 2182, 547, 3589, 543, 519, 4611, 12074, 513, 4161, 547, 4612, 269, 3213, 1127, 633, 11159, 8904, 8928, 5627, 10036, 616, 3226, 1950, 267, 607, 741, 7180, 568, 6417, 676, 519, 3666, 540, 24360, 543, 23887, 4229, 269, 589, 1101, 1305, 540, 8047, 9376, 7721, 4219, 6901, 11567, 519, 1198, 540, 4946, 476, 1839, 260, 1360, 5386, 5070, 676, 4320, 547, 1164, 29213, 23887, 11159, 8904, 8928, 609, 9244, 26793, 31285, 269, 901, 3361, 891, 6404, 10036, 1700, 338, 663, 8928, 547, 1831, 811, 23887, 267, 723, 10156, 2196, 719, 9883, 267, 543, 723, 2539, 2212, 29702, 982, 519, 3312, 6986, 12641, 599, 8928, 267, 5103, 519, 2333, 538, 5860, 3017, 543, 519, 1875, 18396, 1127, 633, 3601, 540, 519, 5070, 269, 962, 1752, 2566, 7403, 9672, 602, 4946, 519, 1875, 18396, 1127, 633, 1360, 5386, 5070, 4679, 519, 23887, 4222, 540, 10053, 10036, 7080, 5014, 269, 901, 2362, 23887, 4222, 856, 4818, 26347, 519, 8476, 5860, 3017, 543, 6971, 519, 2095, 10688, 269, 589, 2034, 1305, 540, 6901, 2066, 513, 3677, 2039, 540, 10036, 9830, 4951, 602, 267, 585, 1970, 29213, 23887, 11159, 8904, 8928, 13856, 676, 24360, 11544, 267, 519, 1840, 540, 476, 1839, 260, 1360, 5386, 5070, 2799, 519, 2212, 29702, 1317, 540, 519, 8476, 5860, 3017, 543, 4617, 23887, 4229, 269, 4935, 267, 519, 1840, 540, 1360, 5386, 5070, 949, 2333, 610, 6175, 519, 10688, 540, 23887, 11159, 8904, 8928, 267, 4470, 593, 519, 3355, 1826, 540, 2095, 543, 519, 3666, 1063, 24360, 543, 23887, 4229, 269, 769, 519, 2067, 1604, 267, 713, 1353, 23083, 602, 1360, 5386, 5070, 666, 1152, 2333, 519, 23887, 4222, 543, 2569, 519, 2095, 10688, 540, 23887, 11159, 8904, 8928, 602, 723, 513, 18481, 2178, 5119, 4222, 547, 4628, 1489, 519, 5070, 5536, 269, 634, 9295, 540, 1360, 5386, 5070, 547, 519, 23887, 4222, 540, 1164, 29213, 23887, 11159, 8904, 8928, 949, 723, 1271, 6286, 585, 2095, 7004, 593, 26747, 11655, 267, 2523, 538, 30218, 4525, 1141, 23644, 1700, 339, 7875, 12040, 267, 23887, 8928, 616, 3226, 1455, 563, 289, 6033, 267, 631, 269, 700, 1421, 1299, 13391, 553, 267, 808, 269, 670, 269, 630, 514, 2046, 1040, 6496, 5070, 3895, 610, 17225, 519, 10688, 540, 23887, 11159, 8904, 8928, 27085, 20767, 2939, 1108, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 4882, 539, 269, 9873, 7761, 0, 23219, 1874, 4400, 3427, 9089, 723, 1831, 513, 7986, 9135, 1369, 1762, 2937, 5708, 267, 9159, 3988, 609, 741, 13858, 6386, 1305, 538, 519, 2189, 543, 7920, 1604, 540, 1164, 1153, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 8129, 267, 4798, 267, 3197, 267, 1603, 2553, 267, 543, 2686, 1764, 540, 2782, 1874, 4400, 3427, 9089, 267, 3246, 513, 3102, 1620, 540, 713, 9159, 5339, 9135, 563, 8368, 540, 12937, 454, 1432, 568, 513, 2782, 1874, 4400, 3427, 23397, 281, 4197, 519, 2637, 516, 543, 21771, 454, 23219, 1874, 4400, 3427, 9089, 31721, 1472, 519, 2729, 540, 14038, 11504, 513, 1164, 1153, 1141, 2168, 23258, 267, 19831, 6575, 267, 543, 2123, 2208, 1404, 3844, 5107, 269, 1452, 9089, 1419, 6451, 2609, 540, 2962, 267, 7045, 267, 15832, 267, 11505, 267, 543, 4947, 6361, 21943, 4798, 269, 1358, 2709, 3988, 513, 13858, 543, 11541, 19214, 883, 519, 2591, 543, 29217, 540, 1762, 21847, 10188, 519, 10848, 540, 1312, 1153, 1272, 543, 741, 1378, 2123, 15322, 563, 2691, 543, 7316, 9894, 2782, 1874, 4400, 3427, 26358, 7880, 3729, 281, 589, 8466, 21887, 454, 763, 5072, 540, 2782, 1874, 4400, 3427, 9089, 666, 581, 14360, 1394, 547, 519, 3735, 476, 736, 628, 2540, 267, 609, 8037, 1568, 899, 968, 763, 10127, 622, 17718, 892, 630, 2735, 275, 264, 543, 968, 305, 534, 2742, 476, 16006, 892, 630, 2735, 278, 1040, 1717, 267, 519, 9135, 5963, 6591, 23146, 538, 519, 476, 2641, 560, 2540, 609, 519, 11944, 540, 2442, 3126, 971, 607, 968, 295, 14019, 25260, 892, 630, 1960, 278, 264, 543, 968, 8110, 1097, 12722, 892, 630, 1220, 276, 1040, 1452, 9089, 7604, 1078, 1762, 23233, 538, 1153, 5468, 267, 6220, 2609, 540, 9589, 543, 29631, 9035, 563, 18698, 519, 16992, 538, 2782, 1874, 4400, 3427, 26358, 281, 5019, 6782, 1235, 267, 4165, 6782, 1235, 267, 543, 25417, 32018, 454, 23219, 1874, 4400, 3427, 9089, 4183, 513, 3309, 5641, 540, 3197, 267, 1142, 609, 741, 1378, 2189, 9342, 267, 12755, 267, 543, 18144, 269, 634, 23233, 616, 1419, 11541, 14038, 945, 7832, 593, 2123, 15322, 540, 1582, 22523, 267, 1565, 1271, 1272, 4245, 2059, 519, 1259, 269, 4165, 6782, 1235, 949, 1331, 15180, 1053, 267, 3610, 267, 610, 5007, 6937, 602, 4161, 519, 1292, 3197, 685, 2208, 269, 25417, 5107, 3565, 547, 519, 3178, 540, 519, 1650, 267, 3246, 11505, 267, 30023, 267, 610, 11509, 4690, 563, 7659, 15689, 543, 570, 1886, 525, 538, 2782, 1874, 4400, 3427, 26358, 281, 11146, 267, 14886, 1222, 267, 543, 681, 2526, 1845, 454, 27094, 267, 11505, 267, 543, 15180, 1845, 616, 7533, 3334, 540, 2782, 1874, 4400, 3427, 9089, 269, 21434, 1016, 30831, 2263, 519, 10848, 540, 18295, 3347, 267, 4946, 3929, 3178, 547, 519, 2239, 269, 634, 7554, 540, 11505, 616, 1419, 7318, 543, 18674, 998, 3838, 2833, 267, 16542, 267, 543, 14017, 269, 681, 2526, 1845, 4492, 519, 8013, 6891, 540, 519, 3197, 267, 6117, 519, 4729, 4464, 543, 3056, 547, 6172, 12519, 13720, 725, 563, 5522, 582, 20905, 543, 21931, 23113, 538, 2782, 1874, 4400, 3427, 26358, 281, 3828, 1235, 267, 570, 5281, 267, 543, 12246, 335, 1619, 454, 23219, 1874, 4400, 3427, 9089, 2308, 1585, 4729, 3457, 543, 2239, 3889, 547, 25407, 3988, 269, 634, 10014, 540, 6397, 4729, 23538, 267, 29384, 327, 13377, 267, 543, 13655, 8952, 3988, 7722, 543, 11235, 547, 10625, 1018, 4523, 1985, 269, 13038, 1650, 9095, 338, 267, 1915, 2208, 9095, 338, 267, 543, 1016, 30831, 18595, 710, 547, 1711, 513, 30305, 543, 15138, 2542, 1995, 563, 12892, 543, 8836, 19410, 776, 538, 2782, 1874, 4400, 3427, 26358, 281, 24167, 7464, 28131, 12983, 454, 23219, 1874, 4400, 3427, 9089, 1419, 6451, 1514, 543, 2686, 16555, 267, 5466, 4143, 1483, 8996, 2152, 971, 607, 3961, 267, 4763, 267, 7130, 267, 543, 6848, 6788, 269, 3414, 741, 14070, 10600, 267, 891, 9089, 1683, 3988, 609, 3255, 547, 2992, 593, 543, 1865, 891, 3584, 267, 5807, 6568, 543, 1620, 563, 16240, 26505, 543, 9828, 538, 2782, 1874, 4400, 3427, 26358, 281, 12056, 519, 22419, 454, 288, 18308, 540, 2782, 1874, 4400, 3427, 9089, 2308, 2502, 1603, 6163, 543, 2553, 547, 25407, 741, 5304, 269, 29149, 18340, 6770, 519, 1153, 1604, 547, 1272, 267, 3850, 3988, 547, 14650, 519, 5468, 543, 23365, 2933, 538, 519, 1650, 269, 15511, 12454, 6386, 3986, 1915, 1646, 543, 13686, 519, 3982, 9739, 540, 519, 23233, 543, 5885, 3197, 563, 28082, 2782, 1874, 4400, 3427, 23397, 10022, 281, 18771, 268, 5649, 32505, 454, 15703, 2442, 2782, 1874, 4400, 3427, 3209, 3126, 723, 2451, 513, 9434, 1764, 593, 3988, 269, 2368, 8037, 1806, 1331, 968, 763, 12017, 518, 10632, 892, 676, 30554, 22828, 19811, 267, 968, 291, 1853, 7217, 892, 676, 7638, 517, 3821, 681, 1054, 267, 543, 968, 309, 2086, 790, 9142, 892, 676, 26548, 3559, 548, 28927, 269, 1452, 3126, 13686, 519, 4763, 543, 3178, 540, 9423, 1369, 519, 9135, 267, 5356, 3988, 13858, 9035, 543, 8903, 1915, 9095, 338, 563, 25842, 543, 21478, 540, 2782, 1874, 4400, 3427, 26358, 593, 7377, 9177, 281, 20176, 625, 267, 7641, 11154, 725, 267, 543, 27684, 18877, 454, 6624, 2782, 1874, 4400, 3427, 9089, 723, 1044, 9862, 883, 3811, 9413, 543, 8613, 3126, 267, 9750, 741, 3914, 543, 8560, 269, 8606, 916, 899, 968, 763, 631, 10270, 14840, 1676, 892, 543, 968, 23562, 559, 697, 892, 4547, 519, 10600, 540, 891, 9089, 547, 519, 2462, 5496, 267, 9159, 1312, 4540, 11655, 543, 1007, 9458, 269, 5015, 267, 7524, 2228, 10178, 2950, 723, 4646, 1472, 891, 9089, 267, 5807, 5717, 267, 10178, 1148, 267, 543, 10178, 5708, 267, 2417, 7393, 741, 2686, 1764, 563, 290, 761, 2294, 543, 13891, 919, 281, 22718, 519, 2552, 7337, 625, 28259, 532, 2782, 1874, 4400, 3427, 26358, 454, 23219, 1874, 4400, 3427, 9089, 723, 711, 1044, 1510, 27900, 543, 9840, 269, 2368, 13915, 8044, 602, 519, 9135, 10419, 340, 919, 32601, 6788, 543, 11475, 267, 1247, 1866, 17192, 922, 2702, 547, 7668, 1762, 3988, 543, 2232, 4143, 1514, 2152, 269, 22718, 891, 5380, 2636, 585, 513, 1134, 25454, 1620, 540, 519, 9135, 779, 9342, 543, 1761, 2127, 585, 6454, 563, 23219, 1874, 4400, 3427, 9089, 2709, 3988, 606, 3078, 543, 15138, 3460, 883, 519, 2729, 540, 1762, 21847, 10188, 519, 2591, 540, 1164, 1153, 269, 1635, 3695, 519, 9135, 779, 8129, 267, 4798, 267, 3197, 267, 1603, 2553, 267, 543, 2686, 1764, 267, 649, 2744, 513, 4514, 7071, 585, 519, 9159, 1158, 540, 2782, 1874, 4400, 3427, 9089, 543, 519, 1764, 789, 723, 1185, 593, 1762, 3988, 5001, 563, 11902, 17988, 630, 21761, 18542, 5999, 264, 827, 2782, 1874, 4400, 3427, 26358, 912, 6701, 2782, 1874, 4400, 3427, 9089, 1152, 5078, 585, 1762, 2937, 3988, 888, 268, 3143, 267, 1247, 519, 9135, 5097, 9072, 1762, 2937, 3988, 267, 1082, 4079, 849, 2972, 519, 13858, 6386, 543, 11541, 4798, 1336, 538, 2782, 1874, 4400, 3427, 9089, 563, 1432, 2306, 2782, 1874, 4400, 3427, 9089, 2189, 3379, 547, 824, 1762, 2937, 11964, 888, 268, 2782, 1874, 4400, 3427, 9089, 1796, 856, 585, 741, 1445, 593, 2168, 23258, 267, 19831, 6575, 267, 543, 2123, 2208, 1369, 519, 7920, 1604, 540, 1164, 1153, 267, 5356, 3988, 513, 3982, 11100, 540, 2962, 267, 7045, 267, 543, 4947, 6361, 21943, 4798, 563, 6701, 2782, 1874, 4400, 3427, 9089, 5078, 585, 3988, 945, 616, 711, 5461, 538, 19831, 6575, 610, 2962, 888, 268, 8786, 267, 1247, 19831, 6575, 543, 2962, 616, 1419, 7533, 547, 519, 4729, 267, 2782, 1874, 4400, 3427, 9089, 849, 2263, 4798, 540, 11505, 267, 15832, 267, 1582, 22523, 267, 543, 6848, 2152, 267, 1818, 873, 13267, 547, 513, 6626, 5304, 563, 4692, 596, 4363, 2782, 1874, 4400, 3427, 9089, 609, 2178, 4775, 23233, 888, 268, 25999, 256, 2368, 5140, 2782, 1874, 4400, 3427, 9089, 609, 2178, 4775, 5012, 1331, 968, 763, 12017, 518, 10632, 892, 676, 30554, 22828, 19811, 267, 968, 1320, 337, 821, 540, 19371, 892, 676, 8861, 808, 269, 8575, 553, 267, 543, 968, 294, 15869, 1782, 892, 676, 26701, 514, 22418, 648, 563, 6701, 972, 1022, 2782, 1874, 4400, 3427, 9089, 602, 2232, 1271, 1514, 2152, 888, 268, 8786, 267, 1082, 2782, 1874, 4400, 3427, 9089, 5490, 883, 4143, 1514, 2152, 971, 607, 3961, 267, 7130, 267, 2790, 1072, 267, 543, 6848, 6788, 269, 6201, 1331, 968, 763, 670, 622, 772, 12315, 892, 676, 4911, 773, 7338, 543, 968, 8245, 517, 5288, 269, 519, 30941, 590, 777, 16772, 3397, 12629, 892, 676, 23894 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1772, 519, 8262, 7465, 2598, 7349, 720, 540, 10281, 1886, 9582, 888, 3080, 540, 519, 7887, 11393, 540, 19558, 9582, 568, 922, 3355, 14764, 1942, 267, 799, 666, 581, 2362, 3379, 547, 2757, 3037, 2861, 8105, 2409, 269, 3958, 267, 19558, 4577, 1949, 2154, 2834, 5464, 543, 5826, 547, 2327, 6099, 2030, 2208, 267, 799, 949, 581, 811, 4074, 25673, 585, 930, 25210, 563, 5719, 321, 6064, 532, 519, 19088, 281, 10281, 1886, 9582, 27355, 1406, 2353, 772, 1186, 1938, 454, 3080, 540, 519, 7887, 11393, 540, 19558, 9582, 568, 602, 621, 3340, 513, 1713, 3355, 5092, 269, 10281, 1886, 4577, 1949, 267, 4352, 3608, 543, 5499, 267, 2097, 609, 1978, 19363, 602, 1590, 581, 2808, 1354, 6388, 563, 763, 1101, 2721, 3724, 547, 2015, 568, 519, 1942, 3238, 538, 4259, 909, 513, 19558, 4577, 1062, 269, 22702, 547, 2757, 3037, 2861, 8105, 2409, 267, 19558, 9582, 666, 581, 811, 7199, 1813, 547, 519, 991, 585, 7463, 3937, 267, 971, 607, 15450, 267, 8770, 3435, 267, 543, 8654, 1949, 269, 3958, 267, 519, 5826, 3790, 666, 849, 581, 2362, 607, 891, 1949, 2154, 2834, 5464, 543, 16369, 540, 9063, 2157, 543, 8770, 9830, 563, 5194, 19319, 540, 19558, 9582, 568, 519, 3908, 2039, 540, 7031, 602, 666, 581, 6738, 6707, 1210, 713, 1505, 269, 2755, 930, 2371, 8853, 538, 19558, 4577, 5054, 267, 1866, 949, 6560, 610, 3111, 15587, 269, 901, 20159, 14340, 689, 519, 1249, 602, 1978, 7031, 723, 1808, 8770, 4170, 610, 616, 811, 11630, 547, 3676, 4122, 1336, 538, 19558, 4577, 1949, 563, 13010, 267, 2230, 10148, 666, 10460, 513, 4161, 950, 7598, 513, 19558, 4577, 1062, 269, 9521, 6671, 8105, 2409, 1141, 7031, 616, 6738, 2047, 538, 3037, 593, 1804, 8778, 338, 540, 2244, 267, 19558, 9582, 3335, 3340, 7299, 10518, 532, 610, 6417, 5054, 971, 607, 3039, 17346, 269, 901, 1797, 602, 2043, 609, 3908, 2230, 949, 1265, 621, 2352, 547, 9772, 713, 1505, 563, 3725, 557, 4705, 281, 634, 8779, 7420, 540, 10281, 1886, 9582, 543, 1215, 547, 4643, 22353, 454, 3725, 557, 2718, 519, 1942, 4161, 540, 19558, 9582, 543, 875, 547, 1544, 9935, 666, 948, 7753, 7687, 538, 713, 1505, 540, 8105, 269, 10281, 1886, 9582, 267, 1247, 5356, 3875, 5383, 971, 607, 3608, 1216, 6165, 543, 1032, 15778, 14713, 267, 1281, 2097, 609, 922, 4023, 2671, 540, 11393, 563, 3080, 2101, 2721, 3724, 568, 519, 1164, 1942, 2404, 609, 4259, 909, 543, 4509, 513, 19558, 4577, 1062, 269, 634, 3355, 5092, 2838, 585, 5989, 267, 3937, 267, 543, 8770, 3435, 666, 581, 3833, 8101, 269, 3958, 267, 5571, 9276, 899, 5201, 585, 8654, 543, 2916, 1852, 267, 607, 1134, 607, 2834, 5826, 3790, 267, 2417, 3565, 547, 519, 2949, 13258, 269, 1452, 2883, 24675, 666, 10460, 513, 1713, 4161, 585, 6705, 6236, 12561, 19558, 9582, 563, 4913, 267, 6297, 4058, 543, 7580, 3375, 6194, 666, 11574, 891, 2591, 269, 18430, 532, 9488, 1382, 547, 3313, 519, 1034, 1942, 15807, 3937, 3681, 2139, 538, 519, 2344, 568, 14063, 269, 898, 568, 849, 1898, 547, 1020, 513, 2143, 6578, 602, 6589, 585, 782, 2062, 5408, 762, 9276, 2429, 519, 14764, 543, 5106, 11775, 563, 13010, 267, 17306, 4199, 13345, 676, 10893, 3653, 543, 21924, 4398, 568, 2629, 538, 4227, 3790, 269, 20074, 4359, 12957, 4066, 666, 948, 20928, 3157, 1247, 10893, 4074, 4170, 563, 9989, 8376, 11485, 744, 951, 17495, 578, 10281, 1886, 9582, 685, 25166, 1841, 286, 19750, 21126, 454, 8601, 519, 12587, 540, 19558, 9582, 267, 519, 1761, 1981, 540, 2068, 3112, 581, 15763, 269, 1879, 621, 2501, 547, 19558, 9582, 267, 835, 1590, 2015, 519, 7887, 19319, 281, 519, 2799, 1981, 540, 2068, 269, 2755, 19558, 9582, 3091, 3875, 5383, 971, 607, 2362, 11729, 543, 3608, 946, 540, 2200, 267, 621, 849, 6799, 2189, 2591, 538, 2474, 540, 2068, 2359, 563, 1103, 2757, 3037, 2861, 6683, 267, 3676, 616, 1419, 7339, 730, 676, 2067, 7496, 543, 6225, 14471, 1459, 538, 519, 3037, 269, 1717, 267, 538, 513, 19558, 4577, 1062, 1141, 2371, 616, 6738, 1510, 3037, 267, 891, 8825, 6127, 616, 15534, 269, 1306, 513, 1267, 267, 13596, 666, 3362, 3262, 2429, 519, 3003, 1062, 267, 4929, 7839, 3441, 547, 7031, 563, 2414, 2232, 713, 3390, 267, 4052, 5380, 593, 2068, 1981, 2359, 991, 547, 581, 3144, 883, 2272, 269, 2290, 1935, 568, 12561, 7453, 9882, 2853, 971, 607, 21149, 532, 2645, 543, 3937, 5781, 269, 3958, 267, 7598, 1697, 5464, 1949, 585, 2038, 7020, 540, 1022, 4191, 540, 2068, 666, 948, 2061, 922, 3262, 563, 13010, 267, 7446, 2068, 15033, 2030, 8677, 543, 4509, 6099, 3395, 2175, 666, 7413, 519, 1981, 1256, 2417, 269, 1635, 3246, 2371, 609, 6190, 6484, 543, 4180, 513, 1134, 28394, 2331, 1604, 267, 741, 2949, 1072, 543, 6043, 1996, 3676, 666, 581, 8476, 563, 1103, 3932, 267, 1247, 19558, 9582, 3091, 3875, 12587, 538, 2474, 540, 7607, 543, 4199, 4398, 267, 621, 568, 2629, 547, 5431, 543, 4383, 519, 1761, 1981, 540, 2068, 269, 1635, 12561, 4052, 5380, 899, 4509, 9882, 10873, 543, 7598, 2500, 5464, 1949, 267, 649, 666, 11574, 713, 19319, 543, 2327, 3811, 19558, 4577, 14713, 563, 9558, 819, 281, 3767, 602, 649, 723, 8268, 519, 4220, 2404, 609, 3676, 538, 19558, 9582, 1949, 1577, 779, 6521, 938, 1445, 547, 6595, 2994, 585, 1379, 856, 1137, 610, 3937, 14286, 602, 949, 8451, 538, 971, 1305, 5725, 563, 2691, 5303, 8648, 4934, 281, 17073, 11150, 585, 5295, 543, 16811, 12983, 454, 2691, 2029, 2053, 856, 267, 596, 991, 547, 723, 6595, 2994, 538, 1747, 585, 1379, 543, 3937, 2152, 269, 769, 19558, 4577, 8105, 267, 1141, 2371, 616, 6738, 1510, 3037, 543, 7048, 8185, 593, 2029, 267, 1022, 17522, 538, 1379, 610, 3937, 666, 581, 17672, 547, 519, 3003, 1062, 269, 16811, 5821, 543, 1379, 856, 1137, 616, 1455, 2591, 5185, 676, 19558, 4577, 6705, 267, 543, 2348, 513, 1544, 538, 1747, 568, 2629, 547, 7413, 9271, 563, 2080, 616, 1614, 1883, 2994, 547, 2015, 950, 7231, 609, 1379, 543, 3937, 2152, 538, 19558, 9582, 912, 268, 7982, 1575, 1379, 3761, 281, 30799, 538, 19307, 18402, 610, 6007, 1949, 666, 2327, 513, 6024, 1379, 2707, 1282, 856, 1137, 269, 901, 786, 948, 2226, 6099, 2175, 585, 2030, 2208, 543, 2061, 3441, 3361, 676, 6727, 21463, 563, 268, 8617, 5826, 281, 18430, 532, 6296, 24422, 543, 5826, 540, 782, 3937, 568, 1898, 547, 2697, 1761, 2152, 1354, 789, 15583, 622, 883, 2101, 2042, 269, 901, 2882, 10992, 5122, 4296, 267, 5464, 1216, 15450, 267, 543, 4180, 602, 8596, 616, 26215, 730, 7157, 563, 268, 14502, 1702, 281, 11109, 513, 4396, 1620, 540, 519, 2930, 3344, 540, 19558, 4577, 1949, 568, 4105, 585, 30076, 269, 25800, 3054, 609, 519, 8647, 540, 15450, 267, 4626, 619, 267, 8596, 267, 543, 824, 3334, 865, 602, 596, 666, 3533, 2697, 519, 2014, 540, 1022, 29840, 543, 1491, 3617, 2962, 563, 7021, 2492, 281, 10435, 10281, 1886, 9582, 966, 4192, 6736, 7025, 11576, 6638, 454, 3080, 1259, 547, 1118, 19558, 9582, 811, 14323, 5103, 2825, 8417, 568, 676, 7598, 4264, 8105, 2853, 563, 22134, 1886, 9582, 267, 1247, 513, 9621, 1505, 540, 14713, 267, 1281, 723, 922, 7687, 543, 7887, 11393, 269, 2290, 2101, 6161, 568, 519, 1764, 593, 519, 1604, 269, 12465, 19558, 4577, 1949, 1419, 7048, 8185, 593, 10991, 18168, 543, 3114, 11378, 267, 799, 666, 1291, 547, 1216, 5533, 543, 3037, 12159, 952, 711, 5265, 7307, 269, 3958, 267, 519, 1648, 4170, 585, 4509, 6099, 2175, 538, 513, 19558, 4577, 1062, 666, 581, 1713, 267, 7700, 547, 8511, 3154, 5434, 563, 2414, 7753, 891, 7687, 543, 1118, 19558, 9582, 811, 13476, 7874, 267, 4264, 8105, 2853, 1590, 581, 7550, 269, 901, 3322, 4227, 16126, 593, 10991, 11378, 998, 5214, 8770, 3435, 543, 6211, 11641, 1852, 2409, 269, 20074, 1216, 2359, 2994, 971, 607, 973, 597, 1529, 908, 8770, 3435, 543, 13830, 24467, 666, 948, 18359, 2200, 543, 7413, 5533, 563, 13010, 267, 6220, 7791, 1648, 2959, 899, 3859, 610, 2842, 1379, 666, 3648, 2569, 519, 3327, 11640, 540, 19558, 4577, 4238, 269, 1635, 9256, 891, 4264, 2853, 609, 4359, 4066, 899, 7299, 8105, 610, 6864, 777, 9582, 267, 649, 666, 1711, 513, 811, 3608, 543, 13476, 6213, 1935, 547, 19558, 9582, 563, 290, 1886, 19139, 8058, 17380, 11825, 286, 19484, 10281, 1886, 4577, 16844, 8571, 10587, 454, 1103, 1250, 3105, 4901, 267, 594, 8268, 875, 19558, 9582, 666, 7753, 922, 2825, 8417, 547, 1831, 513, 14323, 6694, 1505, 269, 3767, 267, 1577, 779, 5490, 883, 1776, 2565, 2460, 540, 19558, 9582, 281, 7693, 5542, 563, 4407, 19558, 4577, 1949, 2709, 3875, 5383, 971, 607, 3608, 4199, 13345, 543, 1032, 15778, 14713, 267, 972, 616, 19363, 602, 8451, 689, 519, 4763, 540, 7031, 6738, 538, 891, 1949, 563, 3080, 540, 519, 7887, 11393, 540, 19558, 9582, 568, 519, 3908, 2039, 540, 7031, 602, 666, 581, 6707, 16916, 269, 9521, 2757, 3037, 2861, 6683, 267, 1141, 513, 2647, 3099, 540, 2371, 666, 8853, 6923, 267, 19558, 4577, 1949, 2154, 22111, 3007, 547, 2030, 4170, 543, 8770, 3435, 3358, 547, 1808, 7031, 269, 901, 20159, 11710, 689, 1896, 2188, 912, 268, 18726, 7352, 1464, 281, 3962, 7693, 814, 2189, 4719, 4162, 543, 14624, 547, 1114, 3395, 2175, 563, 268, 715, 22021, 21976, 281, 10281, 1886, 4577, 1949, 1590, 1683, 5730, 8770, 15885, 585, 6099, 2208, 267, 799, 949, 711, 6474, 519, 2067, 8770, 8244, 585, 1978, 2371, 563, 268, 8376, 12246, 1061, 2225, 281, 2368, 2371, 723, 7960, 6127, 547, 8396, 3676, 4122, 1336, 538, 3037, 2861, 5054, 855, 949, 6560, 950, 6738, 538, 25062, 19558, 4577, 1949, 563, 32382, 891, 19363, 3340, 6297, 7156, 950, 8939, 7031, 585, 19558, 4577, 14713, 269, 12824, 616, 16111, 2324, 593, 3384, 2553, 543, 4066, 547, 22962, 519, 2039, 540, 14323, 7031, 267, 855, 4867, 267, 713, 3788, 835, 540, 519, 7887, 2591, 5185, 676, 19558, 9582, 563, 4407, 621, 568, 1271, 547, 11760, 891, 7687, 267, 621, 568, 8449, 2629, 547, 5431, 602, 7760, 538, 1382, 543, 2029, 3136, 547, 7903, 519, 6302, 540, 1018, 666, 581, 6913, 609, 19558, 9582, 269, 1635, 1620, 543, 8362, 5466, 891, 2152, 4478, 7693, 5542, 538, 19558, 9582, 267, 649, 666, 960, 2509, 21924, 922, 1761, 607, 606, 5499, 543, 4264, 1505, 540, 1426, 2504, 563, 300, 527, 580, 908, 10281, 1886, 9582, 685, 31456, 1261, 601, 281, 29362, 585, 15907, 7308, 4211, 6674, 16424, 454, 2414, 11574, 519, 31456, 24933, 540, 19558, 9582, 267, 596, 666, 2744, 3407, 4030, 676, 7598, 1472, 7308, 12641, 1442, 5464, 2553, 563, 22134, 1886, 9582, 267, 1247, 5356, 3875, 5383, 538, 2474, 540, 4199, 4398, 543, 7693, 6556, 267, 849, 8188, 922, 4023, 2671, 540, 7687, 269, 2290, 540, 519, 7887, 11393, 568, 519, 1761, 585, 1062, 14286, 1813, 547, 2825, 15088, 610, 8770, 20817, 269, 9453, 1697, 5464, 267, 891, 2152, 666, 979, 29462, 2394, 621, 779, 1932, 3735, 267, 4611, 538, 1713, 7693, 9271, 563, 25363, 13586, 1472, 7308, 12641, 1442, 5464, 2636, 25210, 547, 5702, 3950, 2629, 6724, 971, 607, 9063, 2157, 267, 8770, 9830, 267, 2837, 267, 543, 11195, 269, 1635, 11179, 10655, 1483, 6066, 1239, 998, 8596, 543, 12747, 1949, 267, 1761, 2042, 666, 581, 4857, 2038, 593, 543, 3617, 3527, 3144, 547, 2232, 873, 16425, 269, 901, 14942, 1935, 711, 1152, 24024, 519, 1981, 540, 7693, 5821, 855, 849, 5688, 3278, 2030, 2208, 543, 2949, 11729, 563, 12507, 13501, 2553, 538, 19558, 9582, 4125, 1210, 4359, 4066, 899, 14164, 3457, 543, 1239, 12642, 3301, 269, 1452, 2645, 1683, 25210, 609, 4977, 1344, 602, 2337, 873, 1118, 5483, 3664, 827, 14577, 8770, 2157, 267, 22212, 2825, 2175, 267, 610, 16326, 1022, 4191, 540, 2068, 610, 11641, 23588, 269, 3958, 267, 6552, 1569, 7207, 1450, 25210, 547, 6895, 741, 1949, 689, 9170, 693, 1022, 942, 563, 1103, 3932, 267, 19558, 9582, 814, 3875, 5383, 267, 855, 621, 849, 2501, 609, 7687, 602, 991, 5466, 269, 634, 1942, 4161, 540, 4259, 909, 543, 4509, 513, 19558, 4577, 1062, 3340, 6297, 4058, 543, 22343, 269, 8376, 1981, 568, 1776, 1858, 602, 2115, 3007, 267, 607, 519, 6417, 1604, 666, 1831, 513, 9960, 2666, 585, 13596, 269, 5295, 856, 1137, 543, 3937, 14286, 666, 10460, 1713, 2591, 952, 711, 5423, 585, 18113, 269, 3958, 267, 19558, 9582, 568, 6213, 547, 2825, 2188, 267, 799, 1590, 581, 2808, 563, 14454, 267, 676, 1620, 891, 7687, 543, 7598, 3617, 2994, 267, 649, 666, 1118, 19558 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 2171, 10093, 1405, 1336, 1022, 8039, 538, 519, 8912, 4025, 563, 20062, 2969, 25758, 590, 26041, 11553, 8577, 5058, 454, 1432, 13201, 2142, 523, 519, 10020, 540, 3590, 1738, 15154, 538, 519, 3778, 454, 3963, 1772, 8278, 937, 6291, 4515, 2224, 7324, 12409, 5369, 5505, 888, 6872, 824, 6810, 711, 3254, 454, 8448, 21820, 910, 7348, 782, 454, 1464, 9740, 8404, 2534, 18273, 4079, 13672, 6329, 2831, 813, 518, 4003, 3344, 5316, 1081, 3069, 645, 269, 674, 269, 16164, 1676, 2596, 2623, 1235, 6915, 12890, 3724, 6211, 8695, 2634, 19839, 518, 3848, 1126, 18412, 670, 1638, 8106, 14555, 4928, 5042, 5042, 1922, 1752, 6530, 1523, 2528, 5397, 12409, 10017, 1995, 8097, 28706, 1620, 1377, 31399, 625, 12200, 6530, 1745, 1599, 30123, 5306, 1922, 1752, 6690, 3804, 22489, 1299, 18007, 4173, 321, 691, 1014, 1480, 2623, 1480, 2065, 2093, 1367, 17916, 4030, 15859, 4987, 5872, 17271, 8404, 3238, 918, 4669, 10197, 514, 1565, 3069, 1797, 2964, 2065, 6497, 2790, 9015, 2247, 2470, 11409, 3615, 835, 781, 1766, 656, 11248, 19773, 4806, 1268, 2168, 12214, 2990, 3741, 1966, 5626, 1604, 3483, 2543, 15699, 6935, 2078, 3210, 590, 7304, 14555, 3621, 2631, 3510, 1514, 2230, 17003, 2497, 4305, 4116, 3450, 543, 1565, 4255, 28466, 3069, 540, 1565, 3069, 540, 8404, 3206, 2219, 512, 542, 4483, 540, 1565, 3840, 0, 268, 4065, 543, 3163, 14872, 454, 268, 5020, 7070, 14872, 454, 268, 24538, 338, 1299, 645, 13903, 454, 763, 27578, 623, 753, 344, 19643, 12187, 454, 763, 27578, 623, 753, 344, 19643, 12187, 454, 763, 22630, 610, 27578, 623, 753, 344, 19643, 12187, 568, 849, 1634, 607, 9947, 8205, 693, 527, 956, 267, 543, 568, 689, 519, 715, 8233, 531, 13160, 7731, 269, 634, 1016, 26967, 568, 715, 8233, 531, 2088, 324, 563, 1607, 568, 513, 9341, 18173, 267, 865, 1346, 540, 721, 2713, 3544, 540, 16444, 20092, 543, 14135, 4465, 1405, 581, 7487, 873, 1419, 538, 519, 1390, 13964, 1141, 649, 616, 269, 1717, 267, 594, 729, 18822, 2614, 547, 7001, 519, 8666, 1657, 538, 513, 9341, 18173, 11122, 2218, 711, 1932, 2484, 689, 1141, 594, 2661, 269, 594, 1810, 1405, 723, 1082, 5961, 540, 873, 267, 15069, 267, 610, 594, 1131, 581, 4687, 873, 1934, 269, 594, 4126, 547, 7001, 811, 6337, 540, 873, 538, 519, 2104, 2705, 563, 8170, 519, 2185, 623, 753, 344, 17984, 267, 519, 27578, 623, 753, 344, 568, 519, 4686, 560, 267, 10423, 569, 269, 1411, 666, 3006, 1265, 873, 1166, 32211, 676, 538, 519, 3636, 6505, 7943, 267, 2523, 2282, 1930, 6371, 344, 2127, 269, 1403, 972, 616, 15496, 26965, 267, 789, 899, 1346, 782, 519, 811, 563, 763, 12209, 3966, 540, 713, 7168, 18173, 568, 9170, 689, 476, 4649, 547, 476, 4792, 6515, 2066, 269, 1306, 585, 1018, 789, 899, 547, 3548, 267, 519, 27578, 623, 753, 625, 2648, 547, 3548, 4829, 267, 607, 596, 7747, 538, 519, 3381, 2630, 269, 594, 723, 2938, 6337, 540, 519, 15454, 31781, 344, 849, 905, 8463, 593, 519, 22060, 689, 5810, 267, 607, 568, 3020, 585, 1082, 17984, 269, 1403, 972, 616, 930, 9341, 5810, 7404, 267, 789, 786, 2693, 3643, 873, 607, 789, 616, 2111, 563, 763, 30746, 723, 1044, 1634, 547, 3049, 593, 5754, 326, 5268, 10042, 269, 634, 2385, 18173, 23933, 922, 5798, 593, 519, 3617, 3984, 2371, 267, 865, 602, 2390, 554, 10248, 267, 519, 2370, 30746, 723, 1426, 547, 3548, 1318, 2476, 543, 1332, 865, 789, 666, 1205, 547, 741, 1985, 3942, 538, 1272, 563, 763, 1292, 2681, 568, 15454, 540, 1576, 267, 855, 594, 723, 2938, 849, 8645, 267, 3043, 267, 3109, 267, 6960, 267, 16009, 267, 543, 513, 3787, 540, 3592, 10538, 2681, 593, 930, 540, 519, 9634, 602, 1413, 513, 3787, 899, 3750, 9634, 3006, 267, 799, 666, 948, 609, 5329, 930, 11975, 693, 15922, 610, 693, 2547, 11821, 2614, 547, 4413, 856, 593, 513, 7594, 1500, 676, 891, 6653, 2370, 17984, 269, 2290, 6609, 2285, 891, 17984, 607, 2348, 513, 11909, 543, 3109, 522, 3250, 328, 269, 1306, 609, 1082, 17984, 267, 519, 9207, 1938, 616, 1454, 811, 12779, 267, 799, 2337, 547, 5351, 538, 31491, 720, 585, 4027, 269, 4469, 4770, 922, 12209, 1930, 593, 824, 14026, 2636, 1866, 540, 922, 2186, 547, 1265, 1142, 824, 563, 2690, 513, 1279, 942, 267, 713, 18173, 11821, 803, 269, 594, 2219, 621, 729, 513, 3043, 890, 659, 1442, 18173, 267, 1759, 593, 513, 7008, 540, 1250, 12326, 267, 543, 1256, 5206, 827, 621, 1373, 513, 3043, 890, 659, 1442, 269, 594, 1185, 1776, 1268, 24963, 2671, 1018, 789, 2219, 621, 729, 267, 543, 1310, 2417, 3168, 267, 7691, 602, 713, 568, 8197, 513, 15454, 31781, 344, 18173, 269, 1924, 1631, 267, 594, 723, 602, 782, 23498, 909, 543, 594, 993, 865, 19914, 563, 4415, 782, 1250, 4015, 540, 2835, 543, 1344, 593, 17984, 936, 519, 1296, 267, 594, 993, 27086, 811, 3884, 1405, 2854, 827, 891, 17681, 2370, 7068, 563, 763, 27578, 31781, 344, 568, 513, 3501, 2012, 2731, 267, 950, 596, 1413, 693, 519, 12209, 269, 634, 7801, 3884, 1405, 1932, 1454, 547, 2328, 1753, 827, 267, 855, 621, 568, 4190, 782, 519, 1482, 563, 15100, 14645, 476, 1001, 273, 676, 744, 10895, 985, 12584, 1115, 269, 2353, 7126, 27616, 269, 0, 9199, 1188, 3584, 593, 12108, 25397, 3584, 602, 616, 1271, 547, 596, 454, 1103, 513, 3105, 1353, 267, 3173, 1336, 2963, 547, 2303, 602, 8095, 11399, 4226, 23993, 630, 306, 8016, 264, 729, 3152, 538, 22130, 270, 10520, 819, 4496, 27524, 531, 322, 4094, 728, 10636, 739, 23461, 982, 538, 2834, 22130, 269, 769, 6240, 267, 713, 7613, 568, 513, 2556, 32563, 585, 519, 8095, 8065, 1198, 630, 306, 4047, 1070, 2943, 7766, 4255, 547, 2268, 519, 1062, 781, 590, 4047, 5795, 21016, 5477, 2164, 269, 769, 513, 1957, 3370, 713, 5147, 538, 30594, 4131, 1562, 267, 3173, 540, 519, 15096, 301, 273, 11933, 3749, 543, 32492, 15089, 657, 7220, 6828, 267, 3366, 676, 15096, 3918, 288, 4515, 269, 5153, 7315, 29157, 267, 941, 2111, 547, 6166, 519, 7422, 540, 606, 8476, 590, 8016, 267, 607, 1134, 607, 15974, 513, 10257, 7778, 607, 547, 1946, 519, 590, 4047, 1223, 711, 581, 6027, 4603, 958, 563, 24314, 9137, 281, 1975, 514, 6384, 540, 22130, 6045, 998, 2706, 28669, 532, 301, 28692, 8121, 12087, 4041, 0, 320, 264, 7994, 513, 2623, 547, 12189, 630, 1729, 2901, 2333, 267, 6175, 267, 610, 1312, 264, 543, 1210, 2553, 8246, 538, 713, 1576, 267, 1544, 267, 14892, 267, 543, 17412, 538, 2854, 1106, 267, 513, 2623, 14842, 1788, 269, 5221, 713, 568, 513, 1382, 1788, 267, 707, 1957, 1058, 4766, 707, 1544, 538, 2614, 1469, 865, 602, 513, 3791, 5428, 1223, 21613, 621, 26008, 7490, 2491, 707, 1184, 1210, 834, 2041, 8326, 14842, 257, 2474, 543, 5773, 269, 7490, 3717, 547, 713, 14357, 952, 596, 723, 2055, 827, 513, 2623, 3903, 267, 855, 8275, 602, 713, 3903, 949, 6157, 581, 1500, 1510, 713, 14357, 779, 13170, 269, 12971, 2831, 610, 1582, 14194, 3439, 1229, 630, 9767, 616, 519, 7817, 264, 2623, 14842, 4566, 786, 581, 7608, 256, 634, 2698, 2623, 14842, 4674, 630, 5228, 15977, 8343, 547, 3498, 540, 519, 6304, 264, 631, 19851, 2196, 693, 2547, 476, 1015, 2395, 630, 2381, 3065, 540, 476, 278, 2395, 540, 6304, 14386, 630, 2750, 8526, 631, 19851, 581, 9516, 676, 519, 14357, 256, 1916, 321, 264, 1306, 513, 32745, 8379, 9331, 267, 596, 786, 991, 547, 1331, 538, 707, 1788, 9706, 1653, 630, 8145, 1897, 267, 1142, 540, 891, 6810, 814, 513, 1448, 1871, 267, 865, 952, 621, 568, 711, 6192, 596, 786, 10691, 581, 13752, 1346, 2798, 256, 2187, 20082, 6879, 677, 5758, 540, 1018, 707, 645, 9556, 4674, 729, 454, 307, 13759, 10263, 9502, 910, 5693, 3989, 267, 28507, 267, 22905, 630, 577, 4474, 513, 2623, 1299, 10691, 2866, 1983, 994, 293, 23341, 10495, 910, 1946, 7817, 568, 3257, 2623, 1299, 15699, 585, 3257, 2623, 630, 27398, 2078, 26008, 994, 20779, 16623, 540, 519, 7817, 4433, 1070, 607, 22317, 547, 707, 6304, 630, 2224, 1101, 4408, 1152, 540, 7817, 779, 1299, 631, 19851, 1331, 1018, 568, 707, 2078, 547, 713, 7817, 1496, 25147, 1018, 568, 707, 1808, 1569, 547, 713, 7817, 8627, 7481, 25332, 3569, 543, 5589, 1800, 3590, 1031, 910, 1590, 1331, 20231, 6151, 1239, 4015, 9212, 1031, 543, 693, 2547, 835, 3113, 547, 1397, 645, 9556, 3356, 538, 519, 30569, 630, 17920, 519, 5169, 1023, 609, 9501, 4488, 9281, 2975, 7389, 1239, 729, 6592, 1031, 8627, 994, 20373, 540, 5178, 5202, 6176, 454, 20373, 540, 3194, 5071, 6074, 543, 24117, 585, 3903, 630, 5723, 267, 9474, 3722, 4696, 267, 3092, 269, 543, 1946, 5697, 286, 994, 20373, 540, 27800, 1544, 268, 3557, 4010, 1018, 729, 707, 6388, 1184, 729, 543, 875, 596, 4481, 12290, 602, 1184, 630, 291, 4953, 288, 6579, 3633, 2614, 865, 519, 5467, 1223, 21613, 707, 1382, 25631, 10691, 292, 281, 5269, 590, 13543, 519, 5467, 17358, 12327, 16898, 14877, 1018, 22400, 21614, 4041, 568, 538, 519, 645, 9556, 1544, 267, 2059, 609, 4896, 3116, 602, 949, 581, 21528, 609, 713, 1544, 630, 10849, 13996, 267, 1544, 1676, 267, 26519, 267, 3092, 28593, 305, 1049, 324, 585, 1946, 5697, 24199, 27800, 1544, 630, 2254, 1946, 519, 7817, 2115, 606, 6304, 543, 29375, 302, 8100, 631, 19851, 581, 11855, 1934, 26695, 24342, 910, 1331, 1239, 540, 519, 15977, 543, 6304, 2164, 267, 543, 513, 11913, 6609, 540, 707, 968, 14588, 6900, 892, 2164, 630, 14551, 5013, 9236, 15977, 547, 6304, 1239, 734, 6343, 5949, 1210, 513, 6310, 2079, 540, 707, 1239, 26695, 30206, 910, 1215, 798, 596, 1589, 707, 1788, 2490, 856, 286, 3657, 596, 13854, 609, 2164, 286, 12984, 707, 1788, 513, 1967, 547, 596, 286, 7102, 9073, 596, 1500, 286, 1548, 1131, 596, 798, 8335, 1985, 942, 286, 7756, 6304, 602, 1522, 723, 5249, 1732, 286, 1548, 568, 707, 9501, 4488, 9281, 2975, 1544, 585, 5826, 543, 31633, 540, 713, 2623, 630, 300, 19851, 1224, 538, 3848, 476, 1321, 547, 1451, 1018, 547, 2322, 1934, 8627, 7565, 16838, 952, 519, 2623, 568, 711, 4957, 607, 5551, 267, 596, 1869, 991, 4566, 585, 2899, 519, 5551, 2623, 568, 6913, 14386, 286, 1548, 1705, 9358, 19845, 27073, 827, 3257, 513, 645, 7116, 1788, 630, 23813, 9501, 4488, 9281, 2975, 1299, 711, 9215, 302, 15562, 18306, 593, 707, 8292, 1934, 2901, 8627, 14386, 11631, 888, 17920, 4574, 786, 2270, 607, 513, 32745, 8379, 9331, 513, 2140, 2985, 267, 7493, 2985, 267, 4367, 3296, 267, 1505, 3296, 267, 2164, 3296, 267, 4704, 2985, 630, 300, 19851, 723, 693, 2547, 476, 277, 8100, 1031, 538, 519, 1957, 543, 11855, 593, 519, 4704, 2985, 256, 1070, 4890, 1239, 4015, 9212, 1031, 267, 543, 513, 5750, 24223, 1312, 15977, 543, 6304, 3356, 269, 20231, 4574, 786, 1590, 581, 5595, 17898, 3166, 543, 946, 476, 1321, 15304, 13944, 2450, 269, 634, 1957, 1058, 581, 25411, 9482, 538, 519, 1283, 2451, 7944, 1152, 630, 4777, 10691, 2322, 519, 1788, 538, 513, 17835, 32656, 5272, 2985, 630, 16838, 27589, 264, 631, 19851, 723, 519, 14905, 2985, 20927, 543, 2985, 1297, 593, 621, 2336, 323, 264, 634, 3804, 540, 713, 1788, 568, 547, 6673, 12195, 312, 1018, 596, 723, 4121, 689, 713, 1576, 267, 12570, 27380, 543, 2565, 3206, 538, 513, 2361, 3498, 563, 272, 28479, 22083, 1609, 5451, 540, 1068, 18372, 900, 544, 2946, 29953, 1269, 28192, 16948, 1609, 324, 911, 4472, 14833, 454, 19350, 568, 1250, 11556, 281, 476, 272, 269, 10263, 547, 12189, 281, 21183, 1145, 630, 1729, 6175, 621, 264, 476, 273, 269, 10613, 281, 8007, 5750, 267, 2318, 15699, 267, 11295, 8430, 476, 274, 269, 5915, 16623, 281, 1453, 267, 476, 275, 268, 276, 1296, 2025, 0, 22546, 540, 13216, 1744, 8172, 18963, 593, 7353, 18240, 6776, 26275, 1299, 6820, 5295, 8672, 31855, 13048, 994, 16085, 2466, 320, 717, 6951, 327, 623, 778, 335, 663, 272, 267, 4515, 269, 623, 1678, 1690, 670, 269, 2098, 2100, 273, 267, 30267, 269, 590, 269, 681, 269, 590, 1116, 22894, 274, 454, 22333, 9906, 267, 1546, 696, 269, 540, 5082, 269, 1299, 17791, 5570, 267, 9399, 6630, 779, 595, 744, 661, 267, 297, 531, 8615, 517, 267, 300, 1695, 541, 30773, 267, 19328, 272, 454, 10112, 9665, 7905, 267, 1546, 696, 269, 540, 5082, 269, 1299, 17791, 5570, 267, 9399, 6630, 779, 595, 744, 661, 267, 297, 531, 8615, 517, 267, 300, 1695 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3018, 3516, 2063, 11728, 630, 320, 3018, 1354, 2063, 11728, 1916, 4002, 519, 6640, 540, 10732, 729, 6830, 9519, 1354, 8285, 281, 593, 519, 6640, 540, 519, 10732, 602, 729, 1079, 4374, 1354, 519, 10732, 1991, 547, 8285, 563, 5825, 539, 547, 5815, 4365, 267, 2011, 2298, 267, 610, 519, 899, 563, 2005, 568, 3905, 538, 14151, 267, 855, 621, 568, 711, 2356, 18519, 563, 3963, 568, 621, 865, 4158, 538, 1934, 888, 2414, 2291, 610, 13789, 538, 513, 1978, 1259, 563, 30948, 798, 649, 798, 8119, 834, 2171, 581, 6000, 4799, 3963, 568, 646, 1373, 8799, 547, 803, 888, 2414, 4043, 547, 798, 267, 1419, 798, 282, 7436, 519, 3110, 3770, 2460, 563, 269, 4746, 1336, 538, 7135, 267, 2523, 522, 23411, 267, 552, 3052, 269, 1917, 528, 571, 563, 2414, 2291, 2965, 267, 610, 538, 519, 1158, 540, 1249, 282, 547, 723, 6228, 563, 2414, 581, 9115, 1010, 2067, 7287, 563, 2414, 581, 267, 610, 711, 547, 581, 281, 602, 568, 519, 2243, 563, 2414, 2291, 538, 513, 1978, 6073, 610, 6935, 267, 910, 2436, 607, 513, 4641, 610, 607, 513, 1587, 540, 2219, 282, 547, 2291, 607, 519, 1641, 540, 513, 1978, 2392, 6510, 267, 602, 568, 267, 607, 2348, 513, 1978, 14487, 267, 610, 607, 10362, 547, 513, 1978, 4990, 267, 610, 607, 9838, 609, 1018, 568, 9138, 267, 910, 513, 2262, 610, 1913, 585, 519, 2392, 6510, 1373, 24509, 539, 282, 607, 267, 547, 581, 6126, 282, 547, 581, 1934, 282, 547, 581, 1804, 267, 610, 2178, 282, 547, 581, 606, 3662, 282, 547, 581, 513, 5869, 282, 547, 581, 513, 1875, 550, 640, 282, 1614, 543, 1079, 616, 2947, 282, 3045, 8811, 7976, 568, 519, 29696, 540, 6228, 282, 602, 568, 519, 812, 563, 2414, 1491, 1747, 282, 547, 4755, 282, 607, 267, 519, 5870, 729, 593, 13628, 563, 2414, 24901, 282, 547, 2099, 610, 21843, 282, 547, 2626, 547, 563, 763, 2361, 568, 519, 1158, 563, 763, 5722, 4796, 331, 4382, 802, 799, 23524, 4718, 652, 616, 519, 5722, 13039, 563, 288, 1769, 2178, 28221, 12457, 6757, 536, 20884, 17285, 3693, 454, 5970, 519, 2298, 540, 1373, 282, 630, 19817, 3121, 267, 1031, 609, 606, 18781, 610, 513, 2392, 6510, 10902, 11850, 11990, 568, 3638, 454, 1607, 568, 711, 513, 1434, 2626, 454, 6826, 9838, 547, 282, 581, 2576, 610, 1945, 3248, 763, 7022, 540, 519, 2754, 568, 3627, 8055, 454, 1607, 568, 1250, 2777, 454, 30999, 1575, 344, 513, 1978, 2990, 610, 1858, 282, 581, 12341, 3248, 8489, 568, 1250, 22597, 888, 763, 2645, 1117, 568, 538, 519, 1394, 454, 1432, 568, 3297, 713, 2623, 888, 5970, 606, 6228, 267, 581, 31607, 3248, 3674, 972, 513, 2696, 888, 295, 1952, 523, 267, 2049, 267, 1491, 1747, 3248, 296, 4503, 1250, 23129, 282, 713, 729, 1282, 519, 3643, 547, 1250, 3237, 262, 2777, 454, 2467, 941, 1079, 4627, 1004, 693, 1010, 24133, 454, 2467, 729, 513, 2603, 540, 6846, 538, 519, 10051, 454, 6826, 9838, 610, 6697, 547, 3248, 3080, 13362, 11224, 476, 272, 267, 1822, 6299, 956, 891, 2395, 2336, 13528, 610, 17492, 3248, 1607, 2724, 568, 1250, 1152, 4747, 454, 763, 6149, 3774, 729, 519, 20457, 585, 519, 2773, 454, 4322, 13822, 1250, 3003, 10362, 454, 763, 1453, 1500, 909, 519, 669, 11501, 454, 1607, 2040, 4564, 1250, 3003, 4747, 585, 513, 1032, 454, 4322, 1906, 2367, 17663, 1010, 3003, 7952, 454, 13480, 538, 513, 1808, 1747, 267, 609, 513, 1808, 1641, 267, 610, 538, 513, 1808, 1599, 3248, 3891, 568, 513, 1200, 7065, 6048, 454, 9515, 568, 938, 17055, 14544, 454, 11847, 6974, 267, 607, 540, 513, 1915, 593, 3942, 3248, 291, 699, 330, 10496, 11893, 729, 17283, 454, 8967, 754, 610, 946, 942, 3248, 296, 949, 581, 606, 5662, 454, 5970, 1272, 267, 581, 9800, 3248, 5978, 1390, 6205, 568, 1100, 811, 454, 7069, 22516, 5030, 2394, 519, 1439, 540, 2112, 454, 2414, 2611, 796, 28485, 6479, 267, 3768, 626, 32328, 267, 610, 796, 5793, 32152, 4534, 1031, 1152, 538, 31208, 1438, 1106, 3248, 4131, 1200, 581, 454, 6826, 11720, 539, 693, 3248, 4322, 10887, 1942, 1269, 1911, 0, 288, 3101, 568, 513, 2067, 851, 540, 1272, 267, 543, 607, 596, 1332, 4587, 707, 1560, 786, 1689, 538, 513, 1297, 540, 2081, 269, 1411, 949, 849, 723, 513, 2362, 4960, 540, 3384, 1007, 1072, 4145, 607, 596, 2212, 883, 707, 9972, 1296, 267, 971, 607, 5042, 7771, 267, 2042, 609, 3666, 267, 8519, 5642, 1072, 267, 543, 2799, 2295, 2068, 1981, 269, 634, 1434, 3377, 568, 602, 621, 779, 2009, 547, 948, 11574, 2192, 2360, 950, 596, 2461, 11439, 609, 519, 1318, 1702, 269, 22353, 267, 1934, 616, 513, 1906, 4145, 547, 1832, 538, 2247, 607, 596, 1205, 4587, 912, 7197, 1004, 1995, 930, 1377, 540, 5042, 7771, 607, 789, 1332, 4587, 267, 971, 607, 30281, 16365, 3206, 610, 2042, 609, 3965, 269, 11524, 786, 1995, 811, 3978, 2360, 267, 971, 607, 519, 12110, 2589, 2404, 609, 12216, 779, 543, 824, 5042, 4713, 269, 769, 1840, 547, 8345, 6923, 267, 5042, 7771, 666, 849, 13173, 2564, 4713, 543, 6527, 269, 769, 519, 2680, 267, 596, 6560, 609, 3965, 2530, 267, 1205, 4503, 538, 5432, 4025, 267, 610, 1995, 606, 17418, 547, 1685, 6296, 4247, 267, 2911, 609, 513, 10629, 1318, 2476, 269, 589, 4387, 949, 581, 2111, 547, 948, 596, 3500, 519, 2557, 540, 7771, 543, 2087, 17133, 563, 2026, 6045, 676, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 8813, 616, 519, 3056, 2014, 540, 5945, 543, 5945, 2669, 585, 4892, 9907, 476, 4792, 543, 4587, 269, 589, 14124, 2887, 666, 1267, 538, 7745, 7633, 267, 2212, 7063, 267, 543, 1082, 824, 3978, 1072, 2360, 269, 1656, 538, 1082, 8320, 267, 3666, 2152, 616, 547, 16620, 585, 9972, 8813, 269, 10819, 609, 3666, 666, 2049, 585, 782, 12204, 540, 4128, 267, 1519, 912, 291, 20063, 2390, 5612, 7555, 267, 2348, 606, 13417, 1737, 344, 32376, 543, 4743, 899, 596, 666, 1406, 1852, 707, 1560, 950, 6972, 782, 5365, 602, 596, 2461, 7680, 513, 3666, 3390, 269, 769, 713, 2013, 267, 621, 779, 1655, 547, 3346, 513, 4387, 1318, 2476, 547, 3313, 519, 5817, 2014, 563, 302, 4614, 18576, 568, 513, 2783, 602, 5540, 1082, 4587, 4079, 267, 2523, 2021, 269, 1879, 596, 723, 21404, 267, 5642, 5160, 786, 16956, 4733, 693, 513, 1454, 14887, 2557, 267, 799, 6971, 5642, 2527, 269, 1306, 513, 1267, 267, 596, 3580, 723, 513, 2362, 1981, 540, 5642, 18655, 267, 799, 616, 1419, 27676, 585, 20650, 269, 769, 1840, 547, 18460, 5642, 5860, 4152, 2899, 1169, 1079, 1296, 610, 865, 267, 596, 666, 849, 5818, 5642, 1072, 676, 2921, 6171, 667, 543, 7513, 9360, 563, 6097, 547, 519, 2817, 4659, 593, 28544, 267, 1004, 9907, 476, 4792, 543, 4587, 723, 513, 2362, 1981, 540, 2295, 6285, 267, 18116, 267, 543, 2295, 2068, 269, 901, 15398, 1981, 2164, 689, 2242, 547, 519, 2295, 543, 1973, 8043, 267, 799, 568, 513, 851, 540, 519, 10172, 1184, 269, 1717, 267, 596, 666, 948, 15558, 713, 1981, 676, 3056, 513, 2635, 6197, 269, 14856, 27357, 267, 14312, 1426, 267, 16706, 5781, 267, 543, 16069, 7296, 666, 782, 948, 1832, 707, 1072, 1134, 883, 707, 11344, 1296, 269, 1411, 1058, 849, 8430, 606, 13393, 609, 513, 2564, 8502, 5612, 952, 596, 1995, 2589, 540, 2295, 2068, 267, 971, 607, 1928, 610, 3389, 1465, 538, 519, 9221, 563, 16605, 538, 2247, 602, 596, 917, 707, 1560, 1732, 982, 4896, 269, 1306, 513, 1267, 267, 596, 1590, 8430, 606, 13393, 609, 513, 4387, 952, 596, 1995, 1007, 2589, 610, 3494, 602, 707, 1072, 568, 538, 7771, 269, 23560, 865, 2636, 596, 547, 11851, 3152, 1852, 936, 707, 1072, 543, 9716, 267, 607, 1134, 607, 1265, 519, 1697, 2126, 585, 1018, 513, 2812, 596, 269, 1411, 666, 849, 946, 1007, 2029, 547, 2327, 513, 14942, 1935, 547, 1072, 2152, 563, 763, 1863, 3220, 302, 342, 331, 813, 2306, 621, 4443, 982, 2479, 547, 4383, 707, 1072, 2115, 267, 799, 568, 2629, 547, 10172, 538, 1747, 269, 769, 1840, 547, 4687, 707, 2189, 2564, 1686, 609, 1866, 267, 1519, 6068, 3283, 267, 15637, 267, 543, 7189, 267, 713, 813, 849, 2488, 1569, 547, 10629, 2389, 27434, 2200, 827, 707, 1808, 2175, 269, 1411, 666, 849, 3362, 1039, 707, 2564, 1344, 689, 3782, 7426, 899, 22622, 10506, 267, 24310, 267, 543, 5215, 540, 824, 7426, 269, 11109, 1732, 1852, 936, 707, 2564, 2115, 543, 513, 1732, 1620, 540, 707, 1072, 666, 948, 596, 547, 1205, 1732, 1416, 543, 4093, 267, 1100, 2339, 707, 2085, 269, 0, 300, 4785, 2752, 631, 10976, 30121, 1547, 634, 4053, 541, 3350, 585, 1367, 1582, 7721, 8727, 543, 5683, 25430, 3262, 1851, 4571, 5991, 12078, 10601, 26403, 1014, 4035, 787, 1310, 922, 15713, 676, 962, 529, 571, 390, 378, 601, 6428, 534, 614, 630, 8687, 271, 1700, 6642, 274, 1040, 1924, 1572, 689, 519, 12355, 2165, 1660, 541, 9497, 996, 923, 267, 6044, 19823, 519, 4053, 541, 3350, 666, 581, 9763, 607, 835, 540, 519, 1101, 8942, 538, 9456, 2342, 547, 10891, 2757, 626, 10580, 1369, 6014, 2486, 538, 2413, 3029, 267, 4352, 922, 1279, 3856, 9371, 543, 3310, 7283, 3908, 547, 519, 26403, 1014, 9811, 327, 643, 582, 563, 763, 4053, 541, 16809, 729, 4646, 1282, 519, 1762, 962, 529, 571, 390, 378, 601, 6428, 534, 614, 781, 19939, 4458, 865, 30394, 333, 538, 6428, 656, 1282, 519, 476, 9264, 271, 338, 543, 476, 8146, 271, 338, 269, 1703, 267, 538, 1840, 547, 8236, 17117, 540, 13669, 31053, 538, 519, 3044, 6073, 267, 6428, 534, 614, 3357, 896, 519, 3310, 540, 519, 23920, 569, 556, 5477, 4137, 962, 846, 325, 2098, 1495, 601, 540, 6428, 656, 269, 2098, 1495, 601, 13991, 1010, 3007, 547, 519, 5683, 3344, 540, 6014, 1876, 267, 799, 538, 1010, 2070, 1185, 1044, 20495, 269, 1261, 5156, 602, 538, 1931, 547, 7753, 519, 15673, 725, 540, 9409, 267, 2027, 3527, 941, 2556, 3564, 513, 7811, 1702, 540, 835, 781, 3656, 13800, 269, 1677, 713, 1439, 2098, 1495, 601, 2919, 513, 1062, 540, 2834, 1582, 20400, 543, 1353, 540, 5683, 5931, 267, 543, 646, 5189, 971, 10124, 607, 519, 17279, 540, 13669, 31053, 545, 6898, 593, 5683, 2152, 607, 513, 1259, 547, 16578, 519, 1697, 7099, 585, 9997, 5498, 31186, 269, 962, 529, 571, 390, 378, 601, 6428, 534, 614, 3710, 2390, 519, 1062, 540, 1010, 4487, 267, 855, 7429, 2098, 1495, 601, 646, 13986, 547, 1459, 519, 4053, 541, 14985, 547, 519, 2146, 693, 1804, 1369, 606, 10721, 5943, 563, 1103, 966, 559, 3534, 538, 519, 4571, 268, 7277, 271, 338, 267, 6428, 534, 614, 1500, 1010, 1101, 3646, 547, 3715, 513, 2527, 4053, 541, 3350, 269, 3493, 691, 532, 689, 519, 3044, 2259, 585, 9843, 540, 9811, 327, 643, 582, 267, 646, 4843, 513, 3126, 540, 1857, 12909, 9619, 711, 1152, 547, 5640, 855, 849, 547, 29048, 543, 1034, 3226, 547, 3413, 23308, 13473, 1870, 5443, 269, 6428, 534, 614, 1572, 585, 519, 10014, 540, 5683, 1568, 538, 519, 6437, 540, 22560, 1353, 602, 568, 1651, 3518, 550, 2390, 1169, 4035, 269, 6270, 1353, 267, 16310, 1818, 519, 1367, 3222, 540, 519, 5683, 9021, 23616, 4327, 676, 6014, 1876, 267, 1131, 849, 948, 1864, 5431, 543, 6560, 609, 1010, 17499, 25372, 543, 3142, 873, 896, 1852, 269, 1280, 713, 3483, 267, 6428, 534, 614, 1305, 909, 513, 1660, 541, 6879, 30909, 7441, 630, 312, 328, 1421, 834, 5264, 540, 5837, 6044, 8442, 1141, 267, 998, 519, 5916, 2259, 540, 9066, 543, 519, 1474, 828, 17279, 540, 5837, 5931, 267, 606, 14013, 3235, 18878, 1922, 792, 995, 7099, 1223, 581, 2813, 585, 519, 7237, 609, 3693, 531, 18653, 543, 11479, 269, 4438, 713, 966, 559, 3534, 1974, 267, 6428, 534, 614, 11231, 585, 519, 1065, 11781, 532, 540, 5929, 5683, 5931, 543, 13631, 519, 1101, 540, 1010, 1883, 20785, 563, 3528, 782, 23053, 267, 6428, 534, 614, 5497, 519, 4053, 541, 3350, 547, 2626, 519, 3463, 547, 2757, 4035, 787, 15054, 676, 519, 670, 2532, 531, 1695, 267, 519, 3350, 585, 6014, 21654, 267, 835, 540, 4171, 2101, 7740, 729, 538, 966, 559, 3534, 269, 5617, 773, 1324, 602, 4540, 5238, 1223, 711, 2743, 713, 8594, 267, 6428, 534, 614, 3079, 6836, 547, 24772, 519, 3909, 10121, 2906, 540, 519, 1367, 4035, 269, 3571, 8561, 593, 5683, 2623, 6920, 602, 6428, 534, 614, 3838, 1082, 540, 519, 670, 2532, 531 ]

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

[ 3564, 9361, 29691, 513, 25087, 269, 2368, 9755, 5000, 6800, 547, 2132, 1031, 22788, 11276, 12217, 865, 789, 666, 581, 1065, 584, 12723, 883, 1007, 2472, 269, 11524, 1683, 5528, 593, 909, 19464, 3785, 267, 3850, 3885, 547, 13236, 1007, 1272, 883, 2025, 2828, 3079, 540, 1167, 8973, 873, 15587, 780, 2026, 4961, 7255, 827, 2916, 1689, 267, 649, 1404, 606, 1898, 1909, 1932, 269, 1879, 16213, 16018, 585, 14761, 267, 2015, 741, 18879, 593, 7863, 519, 1604, 269, 4340, 547, 2487, 2090, 267, 1034, 4892, 1107, 1519, 1472, 3368, 540, 17044, 17037, 1107, 4782, 10457, 945, 8362, 4339, 2916, 1689, 269, 2659, 5639, 6927, 267, 543, 7446, 3401, 8149, 547, 8497, 938, 4541, 786, 8300, 4213, 547, 1246, 9290, 780, 1103, 3932, 267, 1169, 2872, 814, 3255, 547, 2569, 922, 1764, 593, 2916, 1689, 269, 4634, 22788, 11276, 7703, 9755, 666, 1491, 3268, 2509, 6940, 998, 27126, 10357, 7888, 2326, 267, 12561, 3608, 3157, 267, 543, 8716, 9657, 269, 1306, 931, 2615, 1190, 2043, 267, 649, 1590, 1489, 22257, 3646, 5466, 2916, 1689, 543, 1528, 8387, 6131, 547, 17420, 938, 10475, 3047, 269, 2991, 782, 267, 945, 9327, 1405, 1616, 513, 15777, 267, 22928, 1158, 1141, 22788, 11276, 12217, 543, 824, 19644, 3688, 3142, 7772, 585, 5481, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1715, 3840, 5384, 1185, 606, 2376, 2221, 11331, 267, 4107, 4892, 8081, 6554, 11059, 593, 8693, 7827, 267, 15724, 4855, 338, 269, 589, 2487, 1353, 5342, 676, 1312, 519, 1715, 3840, 8648, 543, 18628, 2160, 8774, 1769, 593, 519, 4657, 14820, 540, 519, 1977, 1004, 543, 5310, 811, 11932, 1977, 966, 582, 619, 269, 634, 14081, 534, 5428, 568, 29200, 585, 922, 2990, 540, 2916, 1689, 267, 538, 1249, 594, 5206, 513, 5816, 2022, 2063, 19496, 593, 1018, 519, 14081, 534, 28735, 540, 519, 2063, 9550, 5921, 585, 2229, 2962, 593, 2916, 1689, 2507, 621, 729, 711, 23904, 269, 1924, 713, 1382, 3357, 607, 513, 6126, 9983, 269, 4706, 6679, 1899, 2829, 267, 602, 968, 2304, 11566, 5354, 540, 519, 1977, 1857, 267, 1519, 5176, 3368, 540, 25743, 267, 1489, 2229, 2962, 547, 26193, 2518, 8337, 2507, 1496, 663, 316, 1079, 22188, 540, 4892, 2161, 789, 616, 811, 2693, 547, 8917, 585, 2797, 10457, 945, 5859, 593, 8165, 2916, 1689, 1848, 634, 1353, 849, 1336, 602, 519, 5354, 540, 1004, 630, 663, 827, 3368, 540, 14081, 534, 17037, 264, 1131, 581, 5828, 1055, 676, 513, 11134, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 539, 11276, 19594, 631, 5474, 543, 13583, 20445, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23413, 11276, 645, 8986, 1299, 853, 4428, 539, 12292, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 6177, 3957, 27385, 10060, 1782, 945, 5030, 2282, 513, 4190, 15922, 269, 5272, 1032, 267, 607, 519, 12405, 4957, 543, 519, 4365, 8057, 21617, 267, 27385, 5433, 606, 28349, 4743, 538, 1010, 12209, 269, 901, 729, 1010, 1560, 781, 1259, 540, 10213, 1864, 602, 621, 729, 942, 585, 1864, 547, 8038, 5045, 585, 519, 5162, 2439, 306, 20632, 20705, 547, 513, 1895, 540, 5017, 1572, 5182, 13530, 269, 4438, 519, 4832, 3275, 267, 5182, 13530, 6068, 2713, 676, 519, 15922, 1317, 540, 782, 519, 8949, 12961, 789, 1223, 3548, 269, 1717, 267, 950, 2887, 8452, 267, 519, 2837, 12628, 267, 543, 972, 941, 7864, 12961, 547, 544, 4875, 593, 269, 2334, 781, 1946, 27385, 543, 1010, 1920, 4956, 547, 22109, 267, 610, 1847, 267, 547, 513, 15911, 1747, 1141, 1426, 1131, 581, 811, 10731, 780, 3080, 1554, 267, 27385, 10356, 782, 540, 1010, 2828, 543, 6045, 602, 621, 729, 942, 585, 873, 547, 4734, 269, 1261, 5143, 873, 827, 875, 646, 1185, 1044, 8384, 519, 6607, 543, 8068, 602, 519, 2395, 941, 3478, 10156, 543, 519, 17334, 3476, 269, 634, 3762, 593, 519, 4054, 941, 4657, 4778, 1932, 267, 7432, 2699, 267, 10538, 267, 543, 5835, 269, 2353, 540, 891, 4191, 4951, 602, 9194, 4005, 729, 16042, 780, 9202, 267, 27385, 14437, 827, 519, 2956, 540, 1739, 513, 4626, 564, 762, 1282, 741, 3460, 269, 3807, 899, 875, 631, 20207, 543, 667, 23098, 1500, 2386, 547, 6749, 27385, 1055, 693, 1153, 1169, 6640, 693, 476, 279, 522, 262, 22018, 267, 519, 5182, 13530, 2877, 547, 6529, 1927, 543, 1246, 1142, 824, 538, 513, 966, 5250, 1247, 10760, 269, 1635, 3257, 713, 267, 789, 24721, 1648, 543, 5280, 1142, 824, 3251, 593, 1576, 2509, 741, 10278, 780, 2026, 789, 5423, 547, 1491, 8184, 267, 27385, 18056, 3025, 547, 3142, 2614, 1216, 543, 16152, 585, 519, 1279, 7552, 6619, 269, 2368, 540, 519, 7820, 32138, 6743, 14126, 267, 6998, 952, 789, 1131, 1205, 4503, 610, 9674, 689, 519, 1895, 269, 27385, 15260, 3293, 873, 602, 789, 1131, 581, 15502, 607, 1279, 607, 789, 6854, 741, 4064, 593, 519, 2937, 5017, 3056, 519, 1259, 780, 7661, 267, 1310, 1818, 2386, 3025, 729, 4712, 267, 27385, 543, 1010, 1920, 3576, 547, 519, 22839, 269, 1306, 789, 24363, 936, 4610, 267, 7733, 267, 543, 10034, 267, 1004, 11074, 1018, 789, 941, 3257, 547, 4585, 519, 30811, 8289, 540, 7366, 540, 5017, 3001, 1927, 538, 10103, 269, 898, 6743, 899, 513, 9649, 5951, 13576, 998, 519, 2011, 267, 2870, 6946, 3270, 1996, 519, 20457, 540, 519, 4259, 3141, 780, 7628, 741, 3460, 267, 519, 5182, 13530, 11402, 1114, 2010, 540, 8916, 543, 9249, 269, 6884, 789, 4718, 5318, 1930, 11396, 4904, 609, 7031, 267, 3501, 585, 4466, 7786, 547, 3548, 269, 4033, 2053, 267, 789, 5293, 936, 18241, 16973, 1141, 7874, 3425, 2322, 856, 6177, 29650, 2407, 540, 5452, 585, 873, 269, 24269, 789, 1336, 513, 1434, 2707, 540, 1426, 267, 789, 1131, 1964, 585, 513, 3787, 1354, 11173, 741, 22116, 780, 30631, 1302, 267, 1310, 1082, 2395, 540, 10707, 267, 519, 5182, 13530, 6603, 741, 3636, 543, 22205, 10278, 269, 1703, 267, 789, 6170, 519, 5162, 575, 3073, 532, 2933, 593, 26345, 13000, 971, 607, 15708, 267, 5613, 267, 543, 7786, 269, 1879, 5614, 3357, 1472, 1586, 267, 789, 6785, 621, 729, 942, 547, 2132, 1753, 547, 519, 4190, 15922, 780, 4415, 17105, 4222, 267, 27385, 543, 1010, 1920, 24389, 593, 519, 2132, 3460, 269, 13966, 519, 1259, 267, 789, 14952, 539, 693, 519, 14393, 31397, 2242, 8345, 538, 2470, 910, 5810, 28480, 267, 8933, 678, 5241, 267, 543, 4816, 2831, 1373, 4535, 269, 7053, 267, 789, 8452, 1394, 693, 519, 15922, 1175, 538, 942, 585, 1776, 32219, 4832, 4005, 780, 5804, 1287, 593, 267, 8164, 2576, 10272, 519, 15922, 543, 19481, 513, 2220, 26325, 2527, 540, 5182, 13530, 15472, 2066, 519, 6607, 267, 789, 7948, 1405, 948, 855, 12837, 6616, 602, 1346, 941, 27385, 543, 1010, 1920, 13059, 1753, 1310, 1776, 3811, 9194, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9596, 827, 519, 20002, 540, 519, 7345, 454, 1103, 15489, 3226, 596, 666, 5544, 835, 540, 519, 1034, 5863, 24738, 540, 519, 15922, 1107, 9597, 332, 584, 902, 540, 9597, 332, 15342, 1107, 15999, 546, 23677, 10525, 540, 7366, 540, 5017, 267, 782, 2220, 334, 14563, 543, 8868, 532, 538, 796, 2581, 269, 1809, 519, 15922, 568, 1753, 547, 930, 4241, 7320, 782, 1032, 5180, 1107, 10544, 707, 10822, 22811, 338, 543, 2212, 547, 681, 9915, 289, 2274, 697, 517, 631, 1601, 267, 610, 3274, 1832, 707, 4064, 22019, 539, 950, 596, 2461, 856, 543, 827, 547, 5544, 930, 540, 891, 2199, 7264, 912, 4131, 779, 1376, 609, 519, 5182, 1782, 1107, 4352, 649, 3622, 1294, 873, 693, 513, 3845, 538, 5458, 1166, 4169, 267, 909, 2673, 789, 616, 11212, 7168, 5017, 609, 17207, 799, 3592, 695, 20810, 538, 519, 24106, 269, 1358, 2461, 711, 2182, 547, 5544, 9170, 538, 519, 5177, 630, 777, 691, 689, 519, 25568, 540, 519, 13677, 15113, 264, 855, 649, 616, 2523, 25552, 609, 873, 1472, 519, 15922, 269, 1924, 267, 950, 779, 519, 1655, 942, 547, 6952, 513, 9597, 332, 4851, 286, 4270, 267, 23679, 267, 596, 3580, 991, 513, 8799, 9602, 267, 9350, 10543, 267, 1472, 606, 5662, 610, 865, 1354, 23863, 1107, 4352, 7703, 538, 2247, 602, 2831, 616, 711, 2141, 4625, 22150, 269, 6744, 538, 530, 328, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 12568, 18963, 543, 7033, 564, 1963, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 16819, 342, 10248, 20929, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 277, 281, 715, 8130, 1190, 5253, 932, 7860, 910, 3245, 10787, 916, 547, 3776, 23959, 692, 5970, 596, 2479, 2219, 827, 1141, 707, 1426, 2501, 689, 1354, 621, 4991, 547, 707, 6676, 286, 2913, 781, 1491, 513, 3460, 1927, 998, 519, 4241, 1158, 540, 8105, 267, 6484, 267, 543, 2635, 4189, 2439, 5331, 24971, 909, 693, 3141, 23438, 543, 9683, 513, 2199, 5214, 10683, 3484, 269, 1411, 1294, 16933, 21737, 25678, 538, 3039, 2250, 999, 267, 11981, 4195, 2011, 543, 7943, 269, 1452, 16933, 3132, 5144, 602, 786, 5555, 1831, 8949, 10381, 267, 18506, 267, 610, 4672, 8645, 269, 1809, 1705, 596, 917, 602, 10800, 23226, 666, 849, 581, 3730, 286, 26478, 899, 4460, 946, 713, 2067, 3653, 607, 13226, 547, 10802, 519, 3037, 543, 948, 1332, 1256, 811, 7031, 269, 901, 1184, 2982, 721, 519, 2956, 540, 4227, 1426, 3653, 543, 9001, 2200, 30396, 780, 3086, 1577, 781, 2263, 1776, 2460, 540, 6484, 1107, 1620, 1114, 2010, 540, 5946, 1336, 538, 938, 11326, 269, 26287, 1231, 616, 1898, 2679, 7161, 585, 938, 4703, 267, 4543, 547, 1628, 6091, 267, 8219, 267, 543, 824, 8031, 269, 2290, 1826, 540, 3940, 2707, 568, 5798, 267, 799, 2097, 689, 17944, 2713, 593, 11396, 269, 5620, 596, 2479, 2938, 9269, 1071, 3591, 610, 6394, 5798, 2786, 689, 519, 9566, 286, 898, 781, 3833, 606, 1995, 256, 14755, 1373, 17705, 267, 5798, 2270, 782, 8370, 1898, 11254, 7408, 2556, 585, 1480, 8192, 2115, 780, 5194, 9735, 3940, 4781, 568, 10365, 267, 799, 616, 11684, 22053, 14095, 609, 6775, 267, 8324, 267, 6886, 267, 543, 14434, 269, 1703, 616, 5215, 540, 21167, 8677, 5001, 267, 1142, 5356, 2189, 10366, 267, 4778, 267, 543, 18282, 269, 1280, 3236, 267, 3109, 10365, 723, 513, 3638, 267, 3618, 344, 6492, 267, 3501, 585, 1818, 2295, 344, 27130, 610, 29316, 546, 2354, 269, 11531, 267, 8459, 10365, 1039, 513, 6653, 24710, 950, 11273, 7444, 267, 4998, 585, 25970, 31625, 8286, 269, 1635, 6220, 891, 2030, 2861, 2959, 883, 6980, 267, 649, 3895, 1312, 2123, 1072, 543, 2825, 6940, 780, 4131, 781, 4685, 4514, 883, 5613, 543, 5388, 1107, 2470, 781, 10477, 16782, 16802, 532, 609, 1898, 5567, 269, 3962, 4829, 543, 10448, 3091, 922, 1378, 1305, 540, 2640, 269, 1280, 1383, 267, 17436, 616, 10731, 538, 12498, 21307, 582, 2940, 267, 5009, 3750, 1072, 267, 1247, 15708, 3640, 3532, 14434, 5885, 2634, 1599, 543, 3965, 269, 1656, 1810, 1405, 7340, 21364, 16719, 899, 22156, 543, 25989, 267, 16041, 609, 4401, 267, 7513, 267, 543, 31833, 267, 7700, 547, 2178, 7633, 267, 4522, 267, 543, 5027, 2504, 780, 7661, 267, 1577, 781, 2911, 827, 9274, 1107, 5452, 689, 6371, 3697, 2371, 602, 1683, 1648, 267, 645, 8324, 267, 543, 6775, 269, 19940, 9274, 971, 607, 6960, 7573, 267, 844, 29184, 267, 27046, 22596, 267, 543, 2898, 10568, 3694, 11677, 782, 1614, 2694, 540, 519, 10286, 630, 1962, 534, 267, 10351, 267, 1439, 657, 11279, 1070, 4180, 5021, 8770, 6981 ]

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

[ 4388, 593, 875, 547, 2057, 10845, 538, 513, 2078, 563, 258, 3066, 269, 5153, 2476, 689, 30414, 3871, 281, 1879, 596, 1745, 899, 596, 2461, 4358, 547, 1205, 20714, 539, 267, 1900, 2476, 689, 602, 9183, 543, 1205, 4195, 2011, 547, 2057, 3478, 14220, 563, 258, 1789, 269, 17166, 1945, 8799, 547, 3054, 281, 17166, 1919, 899, 2048, 527, 779, 15502, 267, 596, 666, 798, 713, 610, 2048, 5632, 332, 1524, 685, 547, 2057, 10845, 856, 10767, 7370, 693, 602, 942, 563, 258, 4029, 269, 6056, 827, 1945, 16168, 281, 2290, 540, 519, 2081, 547, 2057, 10845, 568, 547, 1589, 540, 1945, 16168, 269, 31598, 513, 18792, 1397, 596, 14478, 267, 610, 1945, 602, 5949, 543, 1500, 596, 14902, 865, 2182, 269, 898, 3580, 948, 596, 1577, 979, 540, 519, 10845, 563, 258, 3953, 269, 6056, 540, 1761, 3435, 1354, 14775, 281, 901, 568, 1141, 596, 2285, 3054, 942, 547, 4383, 707, 10845, 267, 543, 2307, 3054, 1018, 596, 666, 798, 547, 1118, 519, 3510, 1732, 3079, 540, 1175, 18530, 513, 3514, 563, 1692, 1677, 28509, 4911, 518, 769, 589, 20556, 454, 2710, 596, 30122, 6336, 707, 3579, 543, 4898, 1946, 286, 1684, 596, 1205, 14220, 936, 519, 1396, 339, 23057, 540, 1919, 286, 3657, 972, 2395, 950, 596, 1745, 899, 596, 1175, 530, 5803, 909, 14220, 888, 11039, 267, 621, 1223, 581, 3339, 593, 930, 2395, 543, 711, 3339, 593, 824, 2395, 267, 865, 547, 948, 596, 1832, 519, 3666, 267, 649, 2322, 1927, 4190, 4388, 593, 875, 547, 4383, 10845, 538, 513, 2078, 563, 258, 3451, 269, 3503, 1524, 707, 4555, 543, 4664, 281, 1411, 2328, 1524, 538, 513, 4760, 267, 513, 2123, 267, 2230, 593, 707, 1514, 2923, 267, 607, 513, 6648, 267, 610, 1256, 607, 513, 5152, 18405, 269, 5675, 1524, 707, 4555, 543, 4606, 666, 948, 547, 2087, 875, 596, 1745, 563, 258, 4097, 269, 1411, 666, 2721, 1932, 281, 1403, 596, 723, 513, 1166, 1515, 585, 5373, 267, 31163, 17331, 267, 610, 11516, 4221, 707, 4555, 610, 4606, 666, 948, 12740, 707, 7099, 563, 258, 3374, 269, 6657, 25990, 281, 25990, 5932, 2790, 9355, 543, 4656, 269, 898, 666, 948, 2087, 513, 1268, 779, 2790, 1134, 5630, 269, 898, 849, 2337, 596, 547, 6001, 543, 9350, 707, 13285, 1932, 563, 258, 3607, 269, 6333, 519, 4539, 540, 707, 3527, 25656, 281, 901, 568, 1141, 596, 1589, 827, 1018, 568, 2693, 547, 1267, 689, 596, 3478, 14220, 269, 9105, 3054, 543, 1589, 827, 1018, 666, 4755, 952, 596, 616, 547, 27506, 909, 563, 1692, 1677, 6513, 15196, 23136, 4911, 518, 454, 3674, 707, 7911, 23136, 14220, 693, 596, 286, 5620, 596, 1044, 11842, 1018, 596, 666, 798, 547, 1118, 1919, 1732, 286, 3657, 596, 12922, 540, 6031, 1919, 865, 6927, 4465, 1406, 15583, 622, 888, 7775, 1281, 1010, 10845, 2014, 1864, 547, 798, 610, 2161, 10413, 995, 543, 1611, 1919, 286, 1937, 787, 711, 267, 1317, 713, 3391, 568, 1934, 547, 948, 607, 621, 779, 827, 875, 547, 1852, 7911, 23136, 10845, 563, 20055, 995, 4199, 281, 700, 8221, 707, 23947, 14955, 3431, 454, 258, 4391, 269, 4855, 856, 1946, 646, 779, 14220, 281, 1403, 596, 1810, 1406, 917, 1018, 519, 3390, 568, 267, 596, 4465, 1406, 581, 2111, 547, 1205, 513, 3070, 563, 258, 4343, 269, 12315, 1864, 519, 2230, 543, 942, 646, 2115, 281, 2659, 7911, 23136, 1522, 1175, 991, 930, 942, 547, 3579, 1055, 610, 9350, 1524, 269, 1403, 713, 568, 519, 2013, 267, 2463, 602, 543, 1810, 1406, 7903, 1932, 2182, 865, 646, 4465, 1406, 798, 1945, 596, 1312, 1131, 26845, 563, 258, 4375, 269, 7442, 860, 1125, 547, 1864, 281, 898, 779, 2141, 513, 1434, 2856, 547, 23294, 1125, 950, 596, 2461, 4636, 269, 898, 779, 519, 1318, 3364, 547, 798, 269, 1879, 596, 2461, 538, 519, 4636, 267, 1378, 909, 547, 621, 543, 23294, 1125, 563, 258, 2412, 269, 20644, 3929, 1489, 281, 2913, 1864, 917, 602, 596, 917, 646, 779, 14220, 543, 596, 1174, 269, 901, 2186, 540, 5114, 666, 948, 547, 9350, 1864, 513, 3787, 563, 258, 6078, 269, 11512, 707, 2427, 540, 1919, 281, 769, 513, 2078, 267, 540, 339, 550, 1307, 267, 24895, 1175, 4523, 267, 543, 1034, 540, 519, 942, 267, 621, 779, 607, 513, 1267, 540, 21390, 269, 2913, 707, 7911, 23136, 917, 707, 1448, 540, 2070, 593, 519, 2339, 646, 779, 14220, 827, 2523, 952, 646, 29144, 596, 610, 568, 14220, 936, 1945, 602, 3884, 1406, 3020, 563, 258, 5655, 269, 5213, 1406, 6318, 707, 5639, 281, 1684, 711, 586, 749, 693, 1864, 269, 1261, 1522, 798, 519, 1482, 1318, 1394, 693, 596, 269, 1656, 621, 4465, 1406, 1205, 596, 1312, 9170, 267, 1317, 596, 3580, 1312, 1175, 581, 586, 2454, 543, 14220, 563, 258, 6246, 269, 19415, 547, 1010, 2427, 540, 519, 1650, 281, 19415, 547, 1864, 18906, 1947, 543, 1810, 1406, 14443, 950, 646, 779, 3843, 547, 2491, 1919, 269, 20644, 513, 4143, 3210, 950, 646, 779, 2944, 563, 258, 4510, 269, 8058, 1864, 596, 1416, 827, 1864, 543, 2648, 1864, 1932, 281, 5272, 1268, 568, 1114, 543, 20362, 1167, 867, 538, 1114, 2081, 1932, 269, 1411, 1058, 917, 1018, 1568, 609, 707, 812, 269, 8058, 532, 1864, 596, 2648, 543, 1416, 827, 1864, 1522, 1175, 798, 519, 8945, 269, 1411, 666, 1205, 1010, 5172, 1426, 267, 15165, 610, 4235, 543, 596, 666, 5957, 1010, 5172, 10571, 540, 596, 1932, 563, 258, 3393, 269, 13648, 585, 1864, 281, 634, 1655, 1259, 547, 513, 812, 779, 2295, 568, 1010, 7181, 568, 2907, 513, 2442, 6031, 269, 1411, 666, 3434, 585, 1864, 1010, 5172, 7594, 610, 513, 1007, 11600, 596, 1175, 4121, 543, 1577, 1864, 917, 646, 779, 519, 1101, 1268, 547, 6492, 602, 11600, 689, 596, 563, 258, 5379, 269, 1290, 680, 2939, 1864, 281, 6468, 616, 711, 519, 1152, 3283, 945, 2648, 5360, 9323, 269, 15681, 1864, 875, 3946, 727, 646, 568, 950, 646, 779, 14220, 693, 596, 610, 875, 1010, 28459, 568, 9985, 1500, 585, 1864, 269, 2334, 1259, 267, 646, 4465, 1406, 581, 2111, 547, 2057, 596, 855, 12837, 3079, 693, 707, 5360, 9323, 563, 20055, 995, 4199, 281, 6653, 1919, 602, 31390, 1518, 1010, 10845, 454, 258, 5325, 269, 5080, 21215, 1864, 513, 2370, 281, 3503, 1864, 513, 1507, 4063, 6031, 875, 1454, 596, 2648, 1864, 267, 1491, 1864, 856, 593, 513, 991, 269, 3807, 2285, 1864, 1100, 811, 2601, 547, 1205, 14834, 693, 596, 563, 258, 4366, 269, 3911, 850, 693, 1864, 538, 519, 6653, 652, 1259, 2009, 281, 2659, 6653, 652, 12837, 1522, 1175, 581, 782, 621, 3217, 547, 1491, 2476, 1010, 10845, 269, 1261, 1522, 711, 1256, 8275, 646, 779, 32127, 1394, 693, 596, 2907, 563, 258, 5392, 269, 15579, 1864, 9395, 281, 1403, 646, 779, 2356, 519, 835, 547, 20006, 519, 804, 4923, 612, 267, 621, 1175, 581, 1522, 581, 519, 3501, 942, 547, 1397, 1864, 2648, 543, 707, 7911, 23136, 1522, 1175, 15835, 899, 7423, 693, 519, 23972, 563, 1692, 1677, 28509, 4911, 518, 769, 25141, 454, 1103, 7365, 267, 1079, 1004, 609, 1114, 14789, 543, 5380, 2097, 1927, 543, 2661, 896, 519, 1482, 8122, 269, 898, 779, 796, 28300, 762, 547, 1831, 14220, 610, 8886, 730, 563, 17951, 518, 666, 4268, 538, 22888, 1759, 593, 875, 922, 6829, 676, 835, 5428, 543, 7307, 676, 519, 824, 563, 306, 920, 5446, 693, 707, 7649, 610, 1139, 7675, 707, 10845, 1813, 547, 4250, 616, 711, 2635, 2081, 547, 4308, 609, 10845, 538, 7365, 267, 865, 1018, 798, 596, 798, 286, 12989, 616, 10274, 593, 875, 547, 4383, 10845, 538, 7365, 563, 20055, 995, 4388, 281, 7794, 707, 7365, 609, 891, 4388, 454, 258, 2004, 269, 2142, 3461, 281, 4911, 518, 1058, 711, 723, 513, 1747, 538, 707, 7365, 269, 1879, 707, 7649, 568, 14220, 267, 2119, 547, 581, 3461, 269, 1879, 835, 568, 838, 9231, 3595, 267, 519, 824, 1058, 581, 26311, 1216, 543, 711, 4946, 4492, 547, 519, 3595, 563, 258, 7906, 269, 5620, 513, 8483, 1516, 2295, 281, 1684, 711, 1205, 1932, 14220, 693, 707, 7649, 269, 6258, 547, 31799, 707, 7649, 269, 1284, 5609, 1996, 2696, 267, 649, 3343, 19807, 543, 1261, 8483, 1161, 721, 1932, 563, 258, 7367, 269, 17372, 519, 2339, 950, 707, 7649, 568, 9350, 281, 8347, 532, 547, 4194, 519, 3390, 950, 707, 7649, 568, 1869, 3905, 538, 10845, 786, 1152, 15583, 622, 519, 2339, 269, 1924, 3079, 267, 2232, 519, 2339, 950, 707, 7649, 568, 9350, 563, 258, 7871, 269, 1234, 6618, 532, 593, 2081, 602, 960, 585, 596, 1312, 281, 1358, 2461, 707, 7649, 543, 596, 1058, 917, 519, 14191, 2081, 547, 741, 12271, 269, 898, 1223, 581, 3478, 15982, 610, 7836, 2298, 942, 1927, 267, 2469, 593, 7389, 267, 610, 9140, 873, 13344, 269, 1733, 31295, 835, 1568, 585, 596, 267, 8756, 621, 547, 1818, 707, 7649, 6126, 609, 596, 1586, 563, 1692, 1677, 6513, 590, 5844, 8738, 7370, 2986, 4911, 518, 454, 15703, 1004, 1205, 14220, 3362, 267, 1256, 950, 519, 13581, 652, 1919, 4755, 269, 2368, 1810, 1406, 1589, 621, 779, 513, 1966, 267, 1247, 930, 616, 3222, 602, 621, 2115, 547, 3247, 563, 2710, 596, 3343, 513, 3070, 547, 707, 6727, 10845, 28377, 286, 1684, 596, 1616, 547, 798, 1732, 950, 596, 2461, 14220, 888, 19350, 616, 513, 1906, 1390, 4388, 593, 875, 547, 1852, 6727, 28377, 540, 10845, 269, 476, 7918, 269, 16514, 3054, 9350, 281, 19171, 707, 4064, 543, 4605, 3054, 9350, 269, 6423, 707, 1560, 17159, 676, 9363, 9350, 543, 5059, 563, 258, 4649, 269, 6056, 621, 998, 281, 6056, 827, 1946, 596, 2461, 3478, 14220, 782, 540, 513, 6727, 267, 543, 2307, 3054, 952, 621, 779, 782, 4502, 621, 269, 1403, 621, 3580, 782, 2339, 519, 1554, 1310, 269, 898, 2636, 596, 547, 6521, 707, 1445, 543, 1832, 596, 9350, 563, 258, 6321, 269, 16202, 610, 4235, 1945, 281, 1403, 596, 2461, 17237, 610, 19818, 344, 267, 3500, 1524, 543, 1205, 1945, 547, 3548, 610, 4235, 269, 19305, 707, 1648, 547, 602, 3079, 540, 27830, 621, 593, 3478, 14220, 563, 258, 6872, 269, 17166, 513, 11755, 281, 16418, 9675, 538, 2696, 689, 1018, 779, 4929, 596, 547, 1205, 14220, 269, 21813, 547, 2696, 547, 948, 596, 7753, 707, 10845, 865, 596, 4465, 1406, 798, 1945, 596, 3580, 26845, 267, 1287, 1847, 593, 563, 17951, 518, 5004, 10657, 9828, 454, 32247, 543, 29252, 10845, 666, 1860, 707, 1072, 543, 666, 2800, 707, 2078, 610, 1256, 4876, 563, 2252, 596, 4076, 8068, 596, 2461, 3478, 14220, 7683, 267, 621, 1522, 581, 942, 585, 596, 547, 2263, 3797, 543, 952, 596, 723, 513, 3659, 610, 1920, 4759, 602, 814, 519, 1482, 3390, 267, 596, 1522, 1616, 547, 948, 873, 609, 741, 796, 19055, 762, 10845, 1932, 563, 763, 2805, 666, 948, 952, 596, 2461, 10010, 609, 10845, 2359, 543, 713, 666, 581, 607, 513, 1267, 540, 8194, 267, 796, 637, 9407, 2152, 602, 5949, 936, 942, 267, 610, 1256, 4965, 563, 763, 3804, 540, 3797, 568, 547, 948, 596, 960, 998, 707, 10845, 547, 723, 513, 7059, 7553, 269, 12989, 616, 930, 10845, 2359, 3797, 2553, 563, 258, 6795, 269, 5369, 17871, 3797, 281, 901, 3797, 568, 1419, 5227, 950, 519, 10845, 814, 10057, 596, 543, 568, 7133, 519, 1004, 1472, 596, 563, 1607, 2186, 540, 3797, 568, 5059, 593, 1582, 26190, 543, 596, 949, 849, 1451, 2081, 547, 2769, 707, 10845, 1510, 7133, 707, 6068, 3283, 563, 258, 2568, 269, 6828, 3797, 281, 6828, 3797, 568, 5227, 538, 2665, 1141, 5312, 10845, 1223, 4076, 4299, 707, 1582, 12635, 6028, 596, 4743, 9678, 543, 16944, 563, 1103, 1895, 3797, 267, 596, 4043, 547, 1745, 1447, 4805, 607, 1866, 616, 8391, 519, 2126, 1932, 267, 543, 621, 666, 581, 5363, 547, 5873, 827, 519, 12003, 7271, 540, 1866, 1932, 563, 2791, 1522, 991, 547, 1294, 513, 13309, 585, 606, 1367, 8400, 1317, 1895, 3797, 568, 1419, 1031, 607, 513, 7110, 585, 824, 5686, 540, 3797, 563, 258, 8618, 269, 15465, 8965, 3797, 281, 901, 4480, 1568, 676, 4543, 596, 2697, 707, 12153, 543, 875, 596, 2356, 4431, 547, 873, 563, 2791, 1451, 1007, 2081, 547, 4431, 547, 10845, 543, 707, 13309, 786, 948, 596, 865, 596, 666, 7930, 1689, 707, 4555, 543, 5615, 547, 10845, 543, 6529, 609, 519, 2242, 563, 258, 7830, 269, 7591, 3797, 281, 901, 3797, 568, 29656, 2966, 585, 1453, 269, 634, 13309, 3096, 3860, 3029, 540, 1404, 547, 948, 519, 1453, 2769, 741 ]

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

[ 2088, 19985, 623, 269, 24495, 3821, 268, 543, 623, 269, 524, 10327, 32070, 1915, 269, 22439, 2491, 519, 1614, 2009, 3123, 540, 1970, 11729, 4810, 538, 1875, 26049, 726, 4548, 912, 272, 270, 30369, 2825, 2175, 454, 273, 270, 3668, 540, 12555, 543, 454, 274, 270, 21603, 1344, 7282, 519, 3099, 267, 3597, 18450, 543, 7850, 5389, 607, 1134, 607, 3395, 2853, 563, 288, 2864, 9395, 9756, 814, 1044, 7150, 1063, 28480, 7389, 543, 519, 1292, 18009, 2287, 1974, 269, 1717, 267, 519, 2038, 28480, 942, 4805, 3112, 581, 2808, 607, 519, 2014, 540, 1970, 7607, 269, 634, 9178, 540, 20034, 4054, 568, 11911, 547, 2027, 8733, 4170, 543, 20239, 657, 534, 3202, 2042, 540, 519, 4914, 20034, 28212, 269, 634, 2079, 540, 9695, 7000, 32094, 1894, 5473, 1896, 824, 3197, 1932, 267, 799, 7520, 519, 4058, 540, 3444, 10687, 321, 5209, 538, 519, 9960, 1982, 563, 299, 24147, 11912, 1500, 1282, 519, 5162, 18309, 540, 533, 727, 4829, 15250, 1841, 513, 1297, 540, 3978, 2042, 281, 519, 16398, 4196, 607, 1303, 27509, 585, 1896, 7936, 29795, 532, 13596, 267, 519, 3875, 1216, 22534, 4646, 1472, 519, 2759, 8728, 8532, 15849, 559, 919, 267, 12094, 519, 3384, 5613, 267, 1118, 519, 24588, 10053, 267, 2569, 519, 7145, 540, 519, 11641, 2359, 543, 2014, 3063, 960, 1282, 1985, 12405, 18309, 960, 269, 1452, 2042, 666, 581, 17515, 676, 1210, 1697, 10138, 2149, 1218, 267, 899, 4039, 23147, 267, 513, 1007, 4936, 1014, 10138, 2149, 656, 547, 3382, 3677, 18309, 11912, 540, 11945, 267, 15090, 543, 844, 1550, 4054, 563, 763, 1726, 14613, 676, 4039, 23147, 8507, 538, 513, 1713, 6175, 538, 1312, 519, 1297, 543, 2698, 3259, 540, 1216, 22534, 4646, 1472, 519, 2759, 19838, 9188, 563, 1607, 1079, 4458, 24713, 344, 729, 6322, 547, 1683, 2164, 593, 519, 1198, 540, 9436, 267, 16903, 267, 11379, 543, 13101, 13226, 5574, 630, 31553, 267, 26128, 267, 26128, 298, 267, 26128, 298, 300, 326, 264, 593, 3543, 894, 543, 30462, 2934, 540, 519, 6653, 22269, 5252, 541, 2048, 290, 1301, 523, 9957, 1401, 3133, 725, 941, 5340, 538, 606, 15250, 731, 12630, 538, 476, 1001, 273, 593, 2398, 684, 639, 30652, 1446, 321, 3597, 18450, 609, 19437, 540, 476, 276, 1535, 476, 273, 269, 276, 544, 269, 2353, 5574, 4824, 519, 3543, 894, 2934, 540, 519, 6653, 22269, 4054, 538, 1312, 1296, 540, 476, 1001, 277, 543, 476, 1001, 278, 269, 674, 23459, 6500, 5701, 4054, 2799, 17657, 3444, 3296, 1858, 630, 307, 5425, 288, 264, 609, 476, 7906, 269, 274, 268, 8287, 269, 272, 9077, 1247, 1852, 4054, 4951, 476, 4366, 269, 274, 260, 17657, 2208, 2333, 269, 962, 3658, 540, 1852, 4054, 941, 2539, 538, 1312, 1296, 630, 276, 269, 280, 268, 278, 269, 273, 4846, 14121, 872, 1070, 982, 602, 540, 519, 6992, 1242, 4054, 630, 278, 269, 279, 268, 1556, 269, 274, 4846, 14121, 872, 1040, 32192, 849, 2799, 519, 16903, 630, 1626, 268, 2420, 15992, 13101, 630, 1321, 268, 736, 8472, 543, 11379, 1543, 630, 274, 269, 276, 268, 1240, 8472, 540, 519, 5613, 3379, 547, 1852, 5574, 563, 763, 10656, 5600, 9302, 11751, 538, 476, 1001, 271, 3379, 609, 519, 1032, 1354, 513, 2370, 1447, 5388, 543, 1447, 4829, 269, 1717, 1317, 540, 513, 2362, 3902, 1377, 519, 2706, 21466, 6455, 540, 5613, 543, 5388, 2799, 609, 476, 278, 260, 547, 3592, 24843, 274, 5479, 269, 589, 10656, 7622, 11751, 476, 7761, 269, 275, 4893, 334, 4195, 5388, 538, 476, 1001, 271, 269, 901, 568, 476, 273, 260, 1447, 982, 538, 476, 1220, 280, 269, 8751, 10633, 616, 519, 1034, 11751, 10448, 4553, 676, 22323, 543, 29475, 269, 4014, 519, 10656, 10820, 11751, 1447, 5388, 267, 519, 7836, 2799, 609, 476, 276, 10065, 634, 3328, 3902, 540, 5388, 729, 476, 278, 260, 2362, 982, 538, 476, 1220, 280, 269, 769, 476, 1001, 271, 513, 10656, 7622, 11751, 3592, 476, 6434, 4893, 334, 4195, 4829, 269, 22702, 609, 476, 1220, 280, 713, 729, 476, 273, 260, 1447, 269, 11197, 568, 2484, 856, 519, 1034, 2442, 267, 4553, 676, 10538, 543, 19337, 269, 4746, 519, 7836, 593, 4829, 8519, 513, 2370, 267, 16887, 593, 12450, 9440, 267, 737, 12685, 328, 543, 19337, 269, 634, 6455, 540, 5388, 568, 7691, 585, 3592, 476, 3445, 260, 676, 519, 2706, 21466, 8756, 269, 15751, 1261, 6359, 333, 814, 513, 2344, 2671, 540, 476, 4343, 9077, 4553, 676, 8111, 684, 773, 543, 595, 1911, 271, 269, 4746, 585, 4829, 519, 2706, 21466, 568, 519, 1034, 1271, 10685, 8756, 269, 1717, 4829, 568, 849, 4421, 585, 476, 736, 260, 538, 17365, 8637, 543, 6990, 269, 634, 2698, 24826, 689, 2706, 5658, 1115, 540, 5388, 729, 538, 476, 1001, 271, 936, 24843, 273, 5479, 267, 476, 279, 260, 811, 982, 538, 476, 1220, 280, 269, 476, 5952, 260, 540, 713, 568, 4195, 1587, 630, 325, 3306, 543, 840, 2389, 8972, 1040, 2052, 2740, 5388, 1831, 1447, 2442, 269, 634, 24826, 729, 13302, 476, 273, 260, 547, 1175, 896, 24843, 1220, 2929, 269, 5682, 10365, 616, 519, 1034, 2442, 267, 4553, 676, 17112, 543, 17436, 269, 1717, 811, 2724, 729, 6108, 593, 13792, 5388, 22791, 276, 8472, 543, 4584, 956, 22791, 272, 22103, 3683, 476, 2412, 260, 540, 519, 2706, 21466, 24826, 540, 13792, 5388, 568, 6108, 593, 22156, 269, 634, 2706, 21466, 24826, 540, 4829, 2799, 538, 476, 1001, 271, 609, 476, 274, 260, 547, 24843, 272, 267, 1839, 5479, 269, 3245, 713, 476, 11152, 260, 568, 4195, 796, 15263, 539, 4829, 269, 634, 24826, 540, 840, 2389, 8972, 630, 13195, 1117, 543, 30000, 264, 568, 2810, 267, 855, 1869, 711, 811, 982, 476, 274, 10065, 4014, 609, 513, 16434, 2671, 267, 519, 7836, 593, 13792, 4829, 849, 2799, 538, 476, 1001, 271, 547, 24843, 276, 267, 276, 2929, 269, 634, 24826, 540, 27574, 4829, 2705, 729, 13302, 609, 476, 277, 260, 3379, 609, 476, 1220, 280, 269, 634, 2706, 21466, 24826, 540, 840, 2389, 8972, 4829, 729, 24843, 3374, 2929, 269, 15751, 1261, 6359, 333, 568, 519, 6207, 2344, 6205, 585, 5910, 8972, 4829, 269, 769, 476, 1001, 271, 476, 3583, 260, 540, 519, 6455, 729, 7691, 676, 15751, 1261, 6359, 333, 269, 24908, 4195, 840, 2389, 8972, 4829, 267, 5631, 4829, 25235, 267, 2272, 585, 476, 2412, 260, 540, 519, 2698, 2706, 21466, 24826, 540, 9268, 4829, 269, 2052, 2740, 12566, 20625, 568, 519, 1034, 1271, 27574, 4829, 538, 2706, 5658, 1115, 267, 4553, 676, 4829, 15483, 18571, 543, 890, 778, 269, 1703, 568, 513, 1164, 4110, 540, 4656, 540, 6800, 3823, 519, 968, 332, 755, 892, 547, 946, 2614, 4829, 543, 5388, 269, 6736, 540, 713, 267, 6800, 798, 711, 2141, 3548, 2614, 2635, 2472, 269, 30258, 585, 713, 616, 519, 11112, 1272, 540, 519, 2413, 1762, 1004, 543, 519, 8226, 602, 5388, 616, 968, 2254, 2653, 892, 547, 946, 269, 4475, 8600, 513, 7594, 814, 547, 581, 2653, 543, 3728, 609, 5078, 2472, 3371, 568, 606, 1271, 4305, 585, 1523, 543, 1587, 1646, 563, 763, 6268, 540, 513, 3132, 568, 606, 1271, 4090, 540, 17782, 922, 1967, 593, 519, 2344, 269, 634, 2489, 12705, 267, 799, 568, 23801, 267, 950, 513, 7082, 23297, 547, 6718, 519, 20161, 267, 1058, 581, 14648, 538, 811, 6662, 267, 22905, 2474, 269, 12729, 1239, 723, 1044, 6394, 593, 4195, 5613, 6508, 689, 1114, 3395, 4066, 676, 1418, 1961, 10364, 4255, 543, 519, 1239, 4904, 909, 538, 519, 3029, 616, 9268, 609, 9756, 2079, 269, 634, 3334, 941, 281, 6492, 267, 24710, 267, 17145, 6109, 1145, 269, 634, 14170, 540, 9756, 4951, 602, 519, 1964, 540, 3197, 607, 519, 5920, 267, 5104, 545, 1465, 267, 543, 519, 4006, 270, 29403, 5223, 563, 763, 1032, 540, 476, 1220, 278, 729, 2565, 585, 4829, 25210, 538, 519, 3148, 540, 14914, 6953, 2426, 776, 269, 11153, 15250, 1841, 941, 11124, 15470, 14796, 269, 31056, 15470, 3441, 729, 849, 5949, 538, 519, 15250, 731, 540, 23413, 324, 329, 681, 339, 1421, 799, 3361, 2698, 4829, 5821, 538, 519, 15250, 731, 269, 3776, 1353, 729, 5342, 538, 519, 7471, 11945, 15250, 731, 630, 22416, 639, 29143, 923, 645, 1251, 327, 4700, 3964, 593, 513, 1970, 1633, 2447, 9926, 655, 3037, 538, 5101, 6953, 2426, 776, 267, 547, 8495, 875, 15470, 2242, 519, 7777, 1543, 540, 1114, 11945, 2249, 269, 23516, 5439, 941, 6394, 476, 1911, 2395, 1310, 2407, 16036, 1312, 538, 476, 1220, 277, 543, 476, 1220, 278, 269, 634, 9830, 540, 9436, 267, 8485, 5387, 267, 11379, 267, 7513, 543, 13101, 941, 6027, 538, 3762, 269, 634, 9000, 540, 5613, 3361, 513, 4130, 13250, 540, 9436, 543, 13101, 538, 3762, 269, 12096, 532, 1524, 540, 5810, 543, 4829, 5036, 12042, 1229, 519, 6037, 6327, 540, 519, 15399, 2586, 8485, 5387, 267, 11379, 543, 7513, 2509, 4829, 5036, 269, 9603, 547, 4829, 5821, 519, 3543, 894, 3157, 2968, 8789, 269, 27817, 3677, 2179, 540, 8485, 5387, 267, 11379, 543, 7513, 6740, 269, 14755, 519, 6207, 3693, 1543, 267, 519, 5223, 540, 519, 1114, 2609, 729, 849, 5462, 269, 11683, 640, 540, 7229, 12753, 941, 6569, 689, 6099, 2418, 1813, 547, 15470, 269, 5637, 6207, 1543, 540, 5567, 543, 741, 12753, 11329, 856, 602, 519, 15470, 3441, 3648, 4299, 519, 19718, 540, 5567, 543, 741, 13936, 3157, 563, 303, 18166, 1164, 2298, 13212, 538, 9921, 4054, 540, 519, 20956, 269, 1412, 20112, 523, 5548, 5534, 262, 568, 2864, 2352, 1317, 540, 519, 678, 1380, 7566, 540, 621, 781, 5613, 267, 2523, 538, 12405, 540, 1164, 3448, 11195, 543, 5924, 6632, 1145, 563, 28606, 17067, 6901, 9863, 519, 7872, 547, 6175, 678, 1380, 7566, 676, 5574, 540, 21781, 275, 269, 278, 1282, 513, 1974, 1310, 4620, 531, 2887, 563, 303, 17222, 8566, 1245, 267, 513, 1587, 540, 623, 17222, 1314, 807, 3213, 269, 630, 2967, 269, 476, 1015, 575, 272, 268, 272, 21781, 275, 269, 278, 264, 729, 4294, 547, 21391, 678, 1380, 564, 5250, 538, 4829, 2960, 540, 1412, 20112, 523, 5548, 5534, 262, 13212, 269, 9050, 15654, 838, 7590, 941, 5645, 856, 630, 5976, 476, 1015, 28327, 513, 269, 328, 4700, 538, 12353, 11996, 267, 4358, 693, 4620, 531, 2887, 543, 7382, 2173, 12089, 609, 519, 1699, 13851, 540, 519, 2030, 4027, 1982, 563, 18814, 547, 519, 21781, 275, 269, 278, 3498, 519, 678, 1380, 564, 5250, 8519, 693, 513, 2557, 540, 22237, 2956, 269, 1306, 585, 519, 2427, 13716, 338, 540, 5574, 267, 4829, 1305, 729, 4389, 5594, 538, 4054, 5701, 267, 2705, 267, 972, 729, 1100, 3702, 550, 3310, 593, 2132, 16036, 563, 26170, 513, 1804, 2179, 540, 13851, 543, 838, 776, 3156, 616, 1031, 538, 13476, 7874, 4829, 2504, 1949, 282, 4061, 267, 519, 2832, 540, 938, 1353, 729, 1101, 547, 1449, 519, 538, 20117, 2498, 324, 545, 2329, 540, 930, 9033, 15969, 1996, 513, 1883, 11945, 2068, 630, 20625, 1085, 629, 1070, 543, 2034, 569, 547, 859, 320, 3634, 519, 7145, 540, 4389, 10936, 15961, 1996, 11945, 1085, 629, 267, 8869, 344, 7646, 1168, 543, 8193, 26615, 538, 7471, 543, 5214, 11945, 15250, 1841, 269, 769, 20117, 12117, 540, 476, 278, 9033, 15969, 630, 2419, 2086, 542, 476, 2004, 654, 303, 267, 918, 17462, 476, 1220, 271, 267, 20918, 2135, 476, 4037, 654, 294, 267, 9986, 1690, 657, 678, 2946, 345, 330, 26408, 267, 918, 636, 15252, 590, 267, 681, 2946, 345, 330, 26408, 267, 681, 2946, 345, 2135, 1731, 3271, 573, 264, 543, 1776, 476, 277, 9033, 15969, 630, 30360, 476, 1839, 10566, 267, 661, 14673, 345, 514, 476, 4335, 14662, 267, 5204, 560, 2033, 267, 674, 4301, 584, 3752, 334, 267, 2098, 6737, 9578, 345, 267, 681, 990, 1537, 264, 9516, 538, 5214, 543, 7471, 2504, 1949, 267, 6606, 267, 941, 7318, 1996, 11945, 1085, 629, 269, 16816, 6320, 2185, 10936, 15961, 941, 5340, 1775, 264, 3044, 7471, 281, 838, 7590, 4553, 676, 20925, 1949, 1282, 519, 4005, 267, 13797, 264, 4389, 7471, 281, 838, 7590, 4553, 676, 20925, 1949, 855, 1152, 476, 4037, 260, 540, 519, 10936, 2338, 1031, 1282, 519, 4005, 17489, 10936, 10872, 267, 25831, 264, 3044, 522, 571, 3913, 545, 281, 838, 7590, 4294, 1169, 476, 278, 1700, 1691, 2395, 1282, 519, 4005, 543, 17488, 264, 4389, 5214, 281, 476, 2568, 260, 540, 519, 10936, 2338, 1031, 1282, 519, 4005, 17489, 10936, 10872, 269, 769, 20117, 2164, 4951, 602, 9033, 15969, 630, 5976, 3742, 5820, 540, 7601, 543, 20962, 584, 264, 4294, 538, 5214, 2504, 4951, 5266, 1164, 2600 ]

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

[ 0, 5228, 21635, 1104, 27661, 5228, 17511, 1104, 27661, 5814, 27368, 7531, 5035, 631, 10270, 1384, 825, 8173, 825, 631, 10270, 1362, 602, 13976, 513, 3308, 6041, 540, 519, 4604, 454, 825, 585, 519, 3014, 4604, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 838, 1679, 281, 7102, 264, 9847, 7183, 1384, 1038, 8173, 1038, 769, 1388, 6500, 585, 519, 519, 631, 10270, 1362, 454, 1038, 29185, 1038, 1582, 4732, 335, 1679, 815, 838, 1679, 454, 1038, 1582, 6230, 10270, 318, 16769, 815, 7183, 454, 1038, 1582, 269, 8527, 622, 318, 16769, 476, 815, 7183, 454, 1038, 1582, 4732, 335, 27866, 815, 11713, 1038, 1582, 4732, 32284, 815, 476, 1626, 454, 1038, 1582, 10947, 8548, 10270, 318, 4944, 1679, 10797, 825, 1219, 1205, 8548, 10270, 318, 4944, 1679, 4311, 264, 9847, 7183, 912, 1038, 8173, 1038, 4991, 782, 519, 4604, 838, 27866, 689, 519, 838, 1679, 6656, 454, 1038, 8173, 1038, 585, 1775, 538, 2039, 263, 1015, 2187, 2018, 1582, 4732, 335, 27866, 6910, 4311, 4732, 335, 1679, 10947, 318, 4944, 1679, 9217, 267, 1582, 4732, 32284, 267, 654, 2839, 8025, 267, 16777, 20846, 11723, 825, 1219, 17967, 4311, 267, 838, 1679, 281, 7102, 267, 1130, 281, 703, 264, 9847, 7183, 912, 1038, 8173, 1038, 15585, 919, 513, 838, 1679, 5293, 883, 621, 581, 513, 1808, 4110, 454, 1038, 8173, 1038, 2132, 27368, 6745, 4920, 845, 269, 8527, 622, 4433, 335, 1679, 267, 1130, 265, 3445, 2020, 825, 1219, 1224, 8548, 10270, 18316, 4311, 267, 1257, 12803, 281, 7102, 264, 9847, 5903, 314, 12179, 28660, 1038, 8173, 1038, 5192, 1344, 689, 1257, 6119, 454, 1038, 8173, 1038, 535, 815, 1930, 29495, 12803, 267, 834, 337, 5602, 1038, 3515, 815, 1496, 1467, 25331, 29328, 28361, 333, 10807, 585, 1899, 538, 535, 2639, 1038, 2132, 1496, 1467, 21858, 3488, 1412, 264, 585, 1899, 538, 3515, 6540, 825, 1219, 1205, 8548, 10270, 4311, 267, 1257, 12803, 281, 7102, 264, 9847, 7183, 1384, 1038, 8173, 1038, 3367, 338, 519, 3758, 585, 1312, 519, 1292, 543, 10047, 454, 1038, 28618, 6119, 454, 1038, 8173, 1038, 1582, 6230, 10270, 318, 16769, 815, 1582, 18667, 8548, 10270, 18316, 29495, 12803, 266, 2668, 339, 868, 5602, 1038, 1582, 269, 8527, 622, 318, 16769, 815, 1582, 18667, 8548, 10270, 18316, 29495, 12803, 266, 257, 318, 8527, 17902, 15419, 825, 1219, 9192, 8548, 10270, 4311, 267, 4282, 281, 7102, 264, 9847, 7183, 1384, 1038, 8173, 1038, 901, 1505, 568, 1141, 649, 2965, 1628, 519, 28618, 676, 2921, 1142, 851, 454, 1038, 689, 519, 838, 1679, 6656, 543, 1628, 606, 3239, 540, 621, 1759, 593, 519, 689, 1312, 454, 1038, 519, 28618, 543, 10047, 28618, 6119, 563, 1038, 8173, 1038, 9343, 815, 7003, 4311, 6230, 10270, 318, 16769, 994, 1038, 897, 338, 815, 7003, 4311, 6230, 10270, 318, 16769, 314, 271, 7481, 1038, 585, 4737, 538, 2039, 263, 4900, 2187, 2018, 585, 897, 538, 2039, 263, 3712, 338, 2187, 3546, 1535, 815, 897, 2608, 654, 2839, 8025, 454, 3546, 586, 815, 4737, 2608, 16777, 20846, 454, 3546, 2119, 912, 7386, 1130, 815, 703, 4311, 6230, 10270, 318, 16769, 314, 992, 6012, 3712, 7481, 3546, 4849, 28759, 912, 7386, 1780, 454, 3546, 3116, 912, 7386, 952, 1582, 269, 8527, 622, 318, 16769, 568, 711, 7183, 912, 13376, 4232, 11749, 815, 1582, 269, 8527, 622, 318, 16769, 314, 992, 6012, 3712, 2639, 13376, 3239, 815, 1582, 269, 8527, 622, 4311, 4732, 335, 27866, 314, 1998, 3910, 703, 263, 8527, 11749, 4917, 13376, 4282, 269, 4565, 527, 263, 13548, 267, 630, 343, 267, 586, 4917, 7386, 3116, 912, 13376, 4282, 269, 4565, 527, 4311, 4732, 335, 27866, 314, 1998, 3910, 630, 343, 267, 586, 4917, 0, 321, 815, 703, 9272, 15405, 604, 6357, 4939, 476, 278, 2652, 476, 271, 2187, 476, 1820, 2891, 8133, 5602, 12828, 912, 476, 1820, 2891, 5591, 5602, 0, 5228, 705, 322, 1104, 13235, 300, 9508, 267, 7493, 24709, 454, 5814, 11885, 607, 5286, 692, 5035, 20368, 2678, 912, 825, 23288, 825, 8708, 585, 9936, 2418, 1031, 538, 23221, 563, 825, 1412, 7407, 262, 666, 581, 22185, 610, 5044, 268, 24029, 318, 3697, 454, 825, 1412, 16932, 262, 568, 513, 5569, 602, 1590, 1331, 835, 540, 1412, 6523, 17443, 3299, 1412, 333, 7572, 766, 3299, 610, 1412, 17882, 18267, 28847, 825, 23288, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 815, 7183, 267, 1871, 815, 7183, 267, 6609, 815, 7183, 267, 6003, 815, 7183, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 6155, 525, 5524, 815, 6609, 454, 1038, 7682, 18011, 17882, 18267, 262, 538, 6003, 264, 610, 18011, 333, 7572, 766, 262, 538, 6003, 264, 610, 18011, 6523, 17443, 262, 538, 6003, 994, 1038, 1582, 7456, 8475, 815, 6003, 454, 0, 3698, 1293, 29999, 6600, 32327, 267, 2262, 2187, 825, 2119, 912, 1038, 609, 1930, 6600, 32327, 267, 17683, 6889, 583, 325, 268, 279, 8442, 607, 535, 912, 2018, 9115, 815, 535, 18667, 4590, 825, 4849, 11711, 8253, 28062, 13286, 912, 1038, 1820, 6600, 257, 7717, 787, 267, 2715, 16344, 17575, 348, 711, 1336, 5602, 825, 3116, 912, 1038, 2262, 18045, 815, 9115, 31573, 14061, 12248, 27182, 31573, 15405, 1038, 1820, 6600, 10454, 1412, 346, 5320, 348, 262, 1293, 538, 2715, 16344, 17575, 348, 568, 2715, 5320, 18045, 348, 257, 9239, 16344, 523, 1868, 815, 1496, 454, 825, 834, 531, 823, 17902, 20350, 825, 834, 338, 1342, 9618, 15925, 17902, 20350, 825, 834, 332, 984, 344, 5091, 1157, 17902, 20350, 825, 834, 331, 8077, 16062, 1580, 17902, 20350, 825, 834, 8117, 1206, 17902, 20350, 2639, 1721, 32197, 538, 2083, 523, 1868, 912, 825, 1293, 29999, 6600, 32327, 267, 834, 1721, 326, 633, 5602, 0, 258, 1412, 13449, 3890, 262, 1599, 3217, 835, 4661, 281, 2012, 540, 3758, 454, 5976, 1930, 2891, 7032, 5091, 580, 1080, 17902, 8442, 607, 3758, 318, 15953, 912, 825, 1948, 1930, 1599, 7024, 606, 1843, 8204, 519, 3758, 454, 825, 1948, 1412, 1348, 3890, 262, 8637, 1543, 540, 1843, 538, 513, 1279, 5569, 454, 825, 9115, 815, 3758, 318, 15953, 18667, 4590, 258, 634, 20438, 1412, 5976, 262, 32195, 519, 3758, 2899, 1569, 547, 621, 568, 1100, 3476, 2877, 454, 258, 1412, 1348, 3890, 262, 7024, 519, 5569, 543, 606, 3063, 8900, 5569, 693, 519, 1439, 267, 602, 666, 454, 258, 581, 7339, 730, 609, 1412, 337, 29328, 3890, 7055, 258, 1820, 263, 4186, 757, 25331, 29328, 31156, 258, 609, 1930, 2891, 907, 270, 1598, 902, 270, 3667, 17902, 8442, 607, 3758, 318, 15953, 912, 258, 825, 585, 7329, 343, 267, 1899, 538, 26246, 31526, 318, 15953, 2187, 258, 1038, 1820, 6600, 257, 18118, 2715, 30915, 1341, 476, 272, 348, 281, 2715, 1467, 25331, 29328, 3890, 348, 15419, 258, 32197, 815, 834, 907, 270, 1598, 902, 270, 3667, 17902, 4840, 16482, 258, 609, 1930, 6600, 32327, 264, 607, 3758, 318, 15953, 912, 258, 825, 3515, 815, 3758, 318, 15953, 18667, 6050, 4590, 258, 1449, 23952, 815, 834, 4840, 258, 585, 1899, 538, 3515, 912, 258, 825, 1449, 23952, 6834, 535, 257, 2715, 1899, 14714, 8692, 3890, 7684, 4840, 258, 1820, 6025, 652, 23952, 2020, 16344, 17575, 815, 834, 821, 8548, 11669, 5091, 580, 1080, 17902, 5016, 5976, 1930, 6600, 32327, 264, 607, 3758, 318, 15953, 912, 825, 3515, 815, 3758, 318, 15953, 18667, 6050, 4590, 7032, 23952, 815, 834, 4840, 1721, 1899, 538, 3515, 912, 825, 14039, 23952, 6834, 1899, 14714, 8692, 4590, 258, 1820, 6600, 257, 346, 7032, 23952, 11468, 7367, 316, 348, 907, 23528, 258, 1820, 12759, 263, 7032, 23952, 11723, 19689, 1485, 815, 3403, 2891, 10938, 707, 14512, 267, 538, 519, 1106, 540, 544, 9536, 344, 344, 281, 19515, 604, 14512, 538, 14039, 23952, 912, 825, 1820, 2891, 20365, 14512, 5526, 538, 519, 1101, 2929, 9704, 540, 14039, 32405, 12828, 912, 825, 1820, 2891, 20365, 14512, 1281, 711, 2408, 538, 14039, 267, 17485, 518, 5602, 0, 17541, 15461, 318, 6665, 527, 815, 18358, 305, 1470, 3299, 1412, 25219, 1695, 3299, 1412, 30210, 3299, 1412, 294, 872, 576, 3299, 1412, 296, 576, 1633, 23300, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 2745, 4433, 9285, 263, 17541, 15461, 318, 6665, 527, 4917, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 18622, 2091, 4590, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 18622, 2091, 4590, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 31699, 4590, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 17541, 15461, 318, 6665, 527, 31699, 263, 516, 2091, 18989, 994, 2745, 263, 17541, 15461, 318, 6665, 527, 994, 2745, 263, 17541, 15461, 318, 6665, 527, 15631, 272, 8079, 0, 3698, 1118, 318, 531, 321, 636, 263, 691, 626, 12173, 267, 17581, 21234, 267, 1003, 5334, 29330, 22561, 2187, 825, 952, 1003, 5334, 29330, 912, 1038, 2132, 2715, 257, 691, 626, 9899, 7376, 12173, 267, 834, 531, 321, 636, 9899, 17581, 21234, 267, 834, 11133, 5334, 29330, 9899, 1003, 5334, 29330, 8679, 825, 3116, 912, 1038, 2132, 2715, 257, 691, 626, 9899, 7376, 12173, 267, 834, 531, 321, 636, 9899, 17581, 21234, 348, 7531, 531, 321, 636, 8217, 815, 29129, 5562, 318, 4148, 698, 815, 6936, 454, 6112, 3742, 318, 4148, 698, 912, 825, 7376, 815, 3403, 2891, 6358, 7376, 281, 19515, 825, 17581, 815, 3403, 2891, 6358, 17581, 281, 19515, 825, 1003, 5334, 29330, 815, 3403, 2891, 6358, 1297, 540, 13475, 281, 19515, 825, 17581, 8217, 6910, 9852, 820, 318, 531, 321, 636, 263, 691, 626, 267, 17581, 267, 1003, 5334, 29330, 543, 1003, 5334, 29330, 4917, 825, 10956, 815, 3403, 2891, 11666, 826, 630, 13433, 270, 7224, 21663, 19515, 825, 952, 10956, 2652, 834, 7224, 257, 610, 10956, 2652, 834, 333, 13426, 1038, 3742, 318, 4148, 698, 815, 8771, 7531, 2745, 19629, 333, 19203, 700, 8780, 5508, 9338, 289, 308, 5960, 26905, 5602, 2745, 2891, 9209, 626, 28612, 19186, 636, 28612, 3143, 269, 540, 14576, 338, 14826, 5602, 1721, 17581, 538, 17581, 8217, 912, 825, 7376, 815, 17581, 14277, 691, 626, 257, 4940, 27583, 4590, 825, 2140, 815, 17581, 14277, 531, 321, 636, 257, 4940, 27583, 4590, 825, 952, 17581, 14277, 11133, 5334, 29330, 257, 14158, 1038, 1003, 5334, 29330, 815, 17581, 14277, 11133, 5334, 29330, 31116, 1038, 1820, 6600, 257, 346, 691, 626, 348, 4534, 2715, 27583, 348, 4534, 2715, 11133, 5334, 29330, 348, 5602, 825, 3116, 912, 1038, 1820, 6600, 257, 346, 691, 626, 348, 4534, 2715, 27583, 348, 5602, 0, 5035, 13928, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 9742, 8782, 684, 4385, 262, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 454, 1038, 1582, 269, 3691, 539, 815, 9742, 692, 825, 1219, 1694, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 568, 1631, 9361, 15419, 825, 1219, 5066, 318, 1478, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 814, 18202, 936, 15419, 825, 1219, 3717, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 3081, 281, 1412, 289, 1046, 256, 262, 15419, 825, 1219, 1018, 318, 3691, 539, 4311, 2187, 1038, 1820, 6600, 257, 346, 1345, 20508, 348, 568, 540, 519, 9742, 281, 2715, 1345, 269, 3691, 539, 348, 257, 9239, 8931, 338, 2255, 15879, 815, 13928, 3488, 306, 2255, 15879, 3299, 476, 1015, 2020, 2745, 6600, 257, 7069, 2915, 781, 2012, 568, 2715, 338, 2255, 15879, 20508, 348, 5602, 2745, 6600, 257, 3240, 2915, 568, 2715, 338, 2255, 15879, 269, 720, 348, 1296, 2025, 5602, 338, 2255, 15879, 269, 2651, 318, 1478, 4590, 338, 2255, 15879, 4732, 527, 4590, 338, 2255, 15879, 4732, 701, 752, 4590, 338, 2255, 15879, 269, 6343, 318, 3691, 539, 4590, 0, 335, 14040, 7272, 625, 815, 18358, 332, 2313, 3336, 3299, 1412, 2169, 571, 10381, 3299, 1412, 21123, 990, 625, 23300, 1721, 16741, 538, 16741, 7272, 625, 912, 476, 952, 16741, 2652, 1412, 21123, 990, 625, 12466, 825, 1820, 6600, 19285, 2648, 1169, 2186, 547, 6137, 593, 1283, 540, 16741, 267, 4849, 2715, 335, 14040, 348, 5602, 476, 3116, 912, 8587, 1820, 6600, 19285, 15983, 2648, 2715, 335, 14040, 348, 16741, 5602, 2745, 6600, 257, 312, 788, 267, 1775, 2386, 798, 2648, 16741, 32405, 0, 258, 322, 5317, 284, 583, 325, 268, 279, 454, 4289, 17342, 9131, 1001, 278, 268, 6187, 268, 2190, 3299, 1412, 876, 281, 876, 281, 876, 3299, 1412, 272, 22207, 1412, 22207, 1412, 476, 274, 28710, 18358, 1001, 278, 268, 6187, 268, 2190, 3299 ]

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

[ 563, 268, 634, 1655, 1554, 540, 519, 3018, 1557, 5856, 3248, 268, 10507, 331, 2688, 1557, 15293, 23116, 3896, 2228, 3248, 16524, 543, 10374, 4828, 593, 11957, 540, 11846, 538, 2296, 454, 306, 7964, 12819, 8799, 827, 585, 519, 5026, 11825, 976, 25422, 607, 1134, 607, 18368, 269, 11846, 616, 2731, 606, 1271, 2534, 585, 3025, 2523, 585, 3214, 543, 31655, 607, 621, 8952, 1560, 2635, 543, 3514, 269, 898, 568, 1152, 1317, 649, 723, 1100, 2631, 540, 3020, 5026, 26206, 269, 11846, 2238, 585, 1312, 267, 2367, 543, 2021, 616, 2877, 547, 581, 15469, 607, 621, 10597, 519, 2168, 267, 2790, 267, 2883, 1072, 540, 519, 1268, 269, 23560, 267, 621, 1058, 581, 15469, 676, 519, 3237, 267, 3610, 543, 2229, 540, 519, 2197, 563, 268, 25126, 547, 2328, 1250, 1557, 585, 803, 3248, 268, 476, 273, 526, 3446, 1603, 1957, 1863, 3248, 21010, 2060, 2974, 454, 11039, 1634, 5026, 17367, 849, 5000, 519, 8521, 5765, 31655, 540, 741, 2197, 269, 11846, 971, 607, 25319, 267, 14912, 267, 11176, 543, 2019, 28380, 948, 519, 1053, 1174, 519, 2956, 540, 9363, 8087, 547, 3035, 513, 1455, 3804, 269, 898, 814, 8799, 9165, 543, 3318, 4876, 5026, 519, 5026, 7606, 563, 2005, 849, 2306, 873, 811, 18177, 543, 10607, 741, 2219, 1184, 269, 898, 568, 1434, 585, 1312, 8695, 543, 6690, 547, 1628, 5386, 26430, 269, 1411, 2170, 609, 707, 17837, 267, 2319, 29982, 267, 13588, 543, 16488, 269, 1358, 3565, 538, 519, 5250, 540, 1915, 269, 11846, 849, 1404, 513, 4105, 1909, 538, 3384, 2418, 543, 8994, 3972, 563, 6919, 2110, 1557, 593, 519, 11957, 540, 11846, 543, 10632, 454, 5445, 1832, 519, 4182, 1762, 607, 789, 1832, 2328, 2565, 2079, 1557, 1383, 454, 15161, 1762, 269, 589, 546, 992, 1910, 29680, 4182, 25864, 2306, 513, 1665, 9170, 538, 519, 1158, 269, 634, 7214, 2208, 540, 513, 4182, 1932, 5673, 2390, 922, 2168, 1072, 269, 21396, 540, 1576, 616, 519, 11604, 540, 519, 7772, 6508, 689, 2168, 6735, 563, 268, 3503, 606, 1557, 827, 3653, 2359, 3248, 268, 6435, 803, 2328, 3909, 2090, 4574, 3248, 268, 4208, 1058, 1053, 2328, 3594, 585, 25689, 3248, 268, 12834, 875, 547, 2328, 606, 1557, 3248, 268, 661, 20969, 900, 320, 1557, 948, 3248, 268, 772, 6996, 23504, 1557, 948, 3248, 306, 7964, 543, 3756, 616, 5227, 585, 3025, 269, 11846, 723, 1390, 1761, 547, 2709, 4876, 3255, 269, 1473, 592, 3101, 538, 9205, 5026, 543, 3756, 971, 607, 3983, 332, 15586, 267, 12404, 543, 3343, 267, 25319, 267, 3092, 609, 938, 1920, 2818, 568, 606, 8449, 1434, 1259, 547, 6125, 609, 873, 269, 7756, 2010, 540, 4604, 3756, 666, 581, 5129, 16280, 609, 11361, 1004, 563, 5445, 666, 581, 811, 5676, 1441, 267, 2635, 267, 3742, 267, 14047, 783, 543, 5026, 3362, 11883, 609, 1022, 2352, 3510, 538, 741, 2123, 1557, 3318, 1272, 269, 1473, 3233, 3756, 616, 899, 1286, 558, 267, 6486, 267, 21802, 267, 3349, 17281, 267, 11015, 267, 11255, 14912, 267, 3092, 666, 581, 5129, 693, 1753, 1510, 1022, 19209, 269, 31336, 3440, 267, 3723, 3440, 267, 25319, 267, 2019, 2917, 3440, 267, 19735, 616, 930, 540, 519, 1034, 1134, 1634, 5026, 269, 7756, 9205, 5026, 971, 607, 15203, 267, 10977, 267, 11176, 267, 14912, 267, 3092, 616, 513, 1434, 1259, 547, 3635, 269, 898, 2306, 721, 9308, 3514, 543, 15508, 4313, 1210, 799, 649, 666, 3362, 4308, 609, 782, 519, 2042, 269, 898, 568, 513, 1434, 1259, 547, 8396, 2566, 543, 4160, 799, 568, 513, 3395, 1966, 1851, 1053, 891, 2395, 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 ]

[ 2147, 547, 519, 1568, 540, 513, 10564, 267, 519, 1106, 540, 513, 6648, 568, 5462, 693, 519, 1482, 942, 607, 922, 1543, 3052, 8462, 18051, 514, 454, 763, 1686, 540, 2257, 568, 3638, 538, 519, 1383, 540, 519, 4829, 6888, 540, 8744, 1079, 5036, 540, 2553, 267, 1079, 5036, 540, 2093, 267, 2919, 538, 5094, 8658, 585, 519, 13287, 540, 1007, 5168, 267, 883, 5905, 609, 835, 1776, 12459, 269, 29122, 1727, 523, 10773, 454, 293, 541, 689, 1818, 4708, 267, 10617, 23223, 2406, 4196, 607, 13460, 543, 20682, 1141, 2367, 543, 2553, 543, 2829, 540, 2247, 616, 5423, 585, 519, 1985, 2112, 9884, 754, 749, 10874, 787, 454, 1862, 2108, 10594, 514, 1275, 892, 568, 3025, 779, 2832, 267, 543, 3209, 2553, 616, 607, 1454, 17028, 7458, 607, 1007, 3621, 8906, 269, 1496, 307, 2529, 20426, 18379, 582, 2829, 621, 609, 9670, 14255, 25771, 23439, 2946, 281, 968, 2005, 568, 4010, 607, 3653, 995, 585, 513, 10564, 547, 798, 1018, 814, 1044, 2944, 2907, 607, 585, 513, 29489, 547, 2699, 4593, 1478, 21780, 601, 779, 8906, 1848, 305, 663, 718, 808, 19128, 961, 454, 1103, 1840, 547, 519, 1514, 12503, 689, 519, 3621, 2146, 972, 568, 849, 693, 960, 513, 1360, 1480, 16023, 540, 1367, 10196, 269, 594, 1289, 621, 519, 1876, 540, 519, 6293, 2073, 543, 621, 949, 581, 19775, 607, 5205, 281, 12315, 513, 1507, 7911, 513, 17200, 267, 543, 646, 786, 1265, 602, 3388, 646, 13341, 2115, 11013, 532, 269, 898, 2501, 607, 1100, 1880, 9983, 547, 3605, 602, 513, 10196, 1106, 12885, 2042, 538, 513, 1259, 799, 3340, 585, 741, 3070, 1175, 1346, 2553, 538, 799, 646, 5128, 568, 2523, 9952, 269, 629, 12646, 25697, 17839, 454, 3674, 621, 711, 513, 2864, 9735, 3140, 20451, 602, 519, 25711, 2553, 602, 519, 3345, 19176, 1031, 1996, 15966, 664, 602, 7142, 1864, 547, 2709, 513, 2756, 582, 9464, 7301, 1476, 11970, 1862, 616, 1631, 519, 2553, 519, 17312, 7245, 568, 1210, 547, 2744, 834, 842, 3485, 775, 257, 827, 9810, 5121, 269, 1215, 568, 621, 2009, 547, 917, 602, 3388, 3627, 15966, 664, 2899, 1767, 593, 2756, 582, 1901, 585, 519, 10546, 729, 7301, 267, 1317, 621, 729, 1071, 518, 1027, 267, 543, 2943, 7682, 602, 3388, 649, 25711, 856, 540, 9810, 31268, 1210, 4010, 519, 1482, 2553, 267, 568, 3020, 286, 4517, 4319, 590, 29229, 454, 763, 1990, 652, 995, 855, 3621, 3408, 540, 7399, 543, 540, 519, 2553, 585, 16734, 873, 786, 1118, 938, 13922, 7787, 267, 543, 786, 1305, 938, 16431, 1369, 519, 5943, 540, 4641, 267, 676, 6029, 875, 1454, 540, 873, 616, 8197, 1483, 14184, 563, 13146, 3173, 538, 5841, 4987, 543, 12985, 2409, 946, 519, 2165, 2220, 1301, 4987, 547, 2012, 7104, 543, 7856, 2553, 540, 1966, 6061, 1510, 21438, 1852, 610, 11865, 540, 513, 2518, 2203, 269, 3267, 519, 4987, 540, 519, 2220, 1301, 568, 1759, 21739, 593, 2792, 269, 3267, 519, 4759, 540, 519, 21318, 798, 711, 723, 547, 1831, 519, 1482, 610, 15646, 8784, 741, 5876, 538, 1931, 547, 5968, 543, 28111, 609, 1142, 824, 269, 1358, 2611, 1114, 538, 2474, 540, 5198, 267, 3023, 267, 14920, 543, 865, 8521, 269, 1284, 991, 547, 1174, 267, 1287, 267, 568, 519, 7104, 4987, 602, 666, 10836, 689, 519, 2792, 543, 9316, 540, 971, 9867, 3818, 13109, 563, 15987, 930, 12167, 14839, 267, 1582, 268, 1506, 335, 16915, 267, 543, 824, 2553, 585, 8236, 1582, 3146, 531, 1436, 267, 1034, 9437, 2969, 3292, 1445, 593, 2792, 1983, 543, 519, 1198, 540, 1893, 593, 2219, 543, 2623, 269, 8409, 4881, 519, 3292, 1590, 14133, 538, 1346, 1983, 269, 634, 30157, 616, 4665, 2209, 563, 9824, 16406, 2152, 11735, 267, 519, 14733, 5626, 2470, 540, 1082, 540, 519, 5751, 1369, 1082, 540, 891, 3292, 568, 540, 6161, 269, 1284, 3112, 20912, 519, 1249, 602, 789, 8057, 856, 540, 519, 3810, 13720, 1049, 1895, 3797, 2553, 5189, 676, 519, 7237, 267, 8417, 267, 543, 1804, 1895, 4656, 2866, 5322, 563, 7212, 1082, 2442, 1344, 1949, 4058, 16097, 267, 1374, 4485, 267, 543, 1585, 2645, 543, 2553, 798, 711, 840, 2850, 610, 616, 711, 22522, 609, 13055, 7400, 2079, 267, 1906, 540, 873, 12799, 2232, 610, 3801, 547, 5581, 13055, 25121, 563, 2005, 568, 1369, 519, 1625, 1613, 540, 1142, 2796, 547, 5581, 922, 1378, 3652, 543, 2553, 585, 14045, 875, 519, 1843, 15129, 6127, 543, 3741, 616, 547, 581, 7307, 269, 1656, 1247, 519, 9614, 540, 513, 1804, 1344, 1062, 1522, 6999, 547, 20818, 930, 3652, 1759, 593, 10952, 12406, 267, 689, 519, 5133, 540, 13055, 6189, 267, 972, 568, 1100, 2601, 547, 1118, 3664, 693, 713, 1377, 269, 3962, 2796, 1058, 5581, 922, 1378, 1843, 339, 2032, 563, 22033, 2359, 568, 513, 2165, 799, 568, 1373, 1031, 5051, 547, 2769, 519, 4657, 2470, 540, 5399, 543, 1344, 960, 269, 9122, 1523, 1302, 538, 1344, 2257, 621, 4564, 513, 19427, 540, 519, 1909, 10645, 585, 519, 1344, 10196, 609, 602, 540, 519, 7172, 4115, 945, 568, 6385, 8508, 1007, 2553, 538, 1931, 547, 11883, 609, 519, 1344, 16411, 563, 763, 13431, 310, 1788, 12388, 525, 519, 2553, 540, 1344, 23023, 543, 5409, 3667, 547, 1118, 606, 2653, 855, 3532, 2518, 1344, 1062, 269, 634, 1788, 3323, 609, 519, 6138, 602, 1454, 4081, 1344, 1058, 581, 11884, 2139, 547, 4896, 269, 898, 6663, 547, 1450, 1344, 4687, 1369, 18368, 24797, 6887, 267, 543, 519, 23425, 540, 1344, 676, 1489, 2516, 563, 3528, 519, 1439, 540, 519, 2112, 519, 1007, 3014, 5376, 6776, 2409, 602, 1185, 1044, 2919, 676, 13153, 3026, 30977, 543, 5651, 2102, 560, 1716, 941, 3773, 547, 519, 32367, 543, 6310, 2553, 602, 4238, 1382, 3744, 18611, 269, 1452, 9863, 1360, 3407, 267, 543, 3014, 5376, 6776, 4485, 3576, 593, 1390, 2956, 1310, 519, 2112, 563, 763, 1646, 630, 337, 1430, 982, 519, 1686, 264, 540, 4238, 1382, 607, 513, 2257, 5161, 540, 519, 1646, 540, 922, 2409, 267, 2035, 267, 543, 2553, 269, 15051, 1382, 568, 9444, 513, 1505, 6862, 513, 4480, 282, 621, 568, 610, 568, 4742, 513, 2257, 543, 607, 971, 568, 3989, 676, 513, 4999, 540, 519, 9259, 621, 2090, 563, 763, 6161, 540, 10758, 609, 4466, 606, 19993, 3375, 267, 3609, 267, 610, 1374, 568, 835, 540, 922, 1898, 4162, 269, 898, 1281, 711, 3343, 8806, 547, 5581, 513, 1732, 3070, 547, 513, 1966, 982, 519, 835, 538, 946, 282, 621, 11394, 519, 1655, 3070, 1862, 1496, 2005, 316, 666, 581, 6353, 607, 519, 3498, 540, 3621, 2409, 267, 2553, 267, 543, 2645, 547, 2042, 5473, 519, 4238, 540, 1949, 865, 607, 547, 1683, 1346, 538, 1852, 540, 519, 4238, 609, 19993, 3435, 547, 519, 2042, 563, 31416, 31290, 281, 630, 320, 21993, 18502, 269, 2219, 1852, 267, 2247, 1852, 267, 28170, 633, 30373, 1040, 589, 1875, 8686, 2723, 550, 1505, 602, 3096, 2247, 1852, 2553, 547, 18609, 513, 1268, 547, 10205, 930, 540, 741, 2596, 4978, 543, 9772, 519, 4978, 540, 519, 967, 24934, 12541, 1807, 563, 763, 10388, 2553, 1031, 676, 2698, 626, 1381, 338, 547, 12622, 543, 17908, 519, 2818, 267, 1247, 711, 9589, 610, 1102, 718, 1043, 267, 616, 18481, 3532, 543, 2500, 547, 26924, 519, 19684, 540, 513, 1713, 6871, 540, 1346, 14059, 267, 543, 519, 12802, 540, 513, 1713, 6871, 540, 1346, 21821, 539, 563, 15307, 568, 7449, 25390, 896, 1412, 1278, 1582, 21553, 2889, 22777, 2516, 8339, 634, 8545, 4440, 17663, 2516, 585, 799, 6754, 1261, 601, 553, 22579, 519, 2165, 1412, 1345, 3146, 5554, 687, 9166, 2516, 799, 2709, 2553, 543, 2853, 799, 5000, 1995, 543, 19870, 540, 519, 1582, 630, 3891, 601, 553, 476, 2735, 273, 282, 476, 2735, 275, 282, 476, 2735, 279, 1916, 1862, 1492, 1480, 1761, 543, 21911, 5322, 267, 607, 1134, 607, 519, 811, 1412, 5158, 268, 3530, 15256, 262, 1715, 16241, 28073, 543, 10764, 540, 519, 1582, 269, 901, 729, 519, 1950, 1158, 540, 519, 2836, 4613, 1014, 1412, 17595, 984, 629, 1076, 3299, 540, 6982, 1108, 543, 1609, 630, 292, 9071, 731, 12054, 21577, 9751, 267, 2663, 1572, 1280, 4548, 8416, 1070, 540, 7402, 3300, 20492, 267, 9066, 2553, 543, 1582, 25298, 8261, 338, 2966, 547, 4217, 2043, 1412, 9418, 1047, 741, 1761, 23823, 5445, 1448, 547, 519, 17035, 602, 7153, 689, 23011, 1014, 3797, 267, 25415, 1014, 3797, 543, 2618, 617, 18769, 269, 1358, 13712, 1018, 789, 1289, 1582, 3146, 5554, 687, 899, 1609, 543, 519, 13794, 540, 13225, 698, 9774, 267, 1312, 540, 799, 2721, 593, 5375, 9354, 2553, 543, 849, 2322, 4464, 513, 1106, 540, 8109, 17035, 563, 2467, 616, 1082, 1808, 2553, 602, 1110, 25527, 946, 267, 799, 5512, 721, 547, 3605, 3344, 540, 4641, 602, 949, 711, 581, 6654, 547, 3025, 2483, 1103, 519, 15795, 2540, 645, 5861, 1421, 717, 2246, 4821, 267, 606, 589, 32569, 19036, 1782, 593, 519, 7187, 20281, 540, 3127, 267, 19775, 513, 6926, 752, 569, 533, 612, 574, 2065, 6138, 602, 6825, 569, 20998, 5576, 13449, 327, 21516, 781, 269, 901, 1164, 14985, 540, 2258, 566, 267, 585, 4128, 602, 1131, 2154, 606, 3573, 3140, 7778, 267, 2968, 5393, 2442, 267, 855, 729, 1585, 569, 14648, 676, 693, 2547, 29933, 15180, 3506, 267, 1142, 540, 799, 10645, 4805, 547, 8190, 519, 3020, 3450, 540, 717, 2246, 4821, 519, 17700, 267, 543, 717, 2246, 4821, 781, 28191, 699, 19473, 1143, 729, 7930, 13572, 543, 25848, 3293, 676, 519, 8912, 24396, 2553, 267, 865, 602, 513, 6138, 602, 729, 5497, 547, 5486, 656, 4984, 729, 10736, 883, 1175, 1776, 14969, 543, 4121, 22530, 819, 269, 0, 23911, 13838, 616, 1547, 6853, 6119, 609, 9226, 3009, 269, 5272, 5124, 3758, 666, 581, 26518, 607, 513, 9074, 269, 7383, 532, 13838, 568, 2147, 547, 1104, 532, 3252, 543, 568, 2944, 676, 1603, 1104, 2999, 4067, 540, 519, 9074, 20101, 1403, 596, 1616, 547, 1331, 707, 1582, 2854, 9074, 596, 723, 547, 581, 3222, 602, 782, 1346, 6119, 723, 547, 581, 538, 519, 1482, 15682, 563, 4131, 26141, 8263, 602, 649, 723, 513, 1582, 2854, 9074, 3957, 1018, 338, 1575, 18258, 799, 568, 538, 519, 1482, 15682, 607, 938, 1292, 3758, 269, 26451, 621, 543, 10912, 3252, 666, 581, 2944, 538, 602, 1259, 912, 8170, 1576, 596, 666, 946, 519, 14595, 1104, 3681, 594, 4951, 538, 9457, 344, 5881, 281, 0, 21196, 476, 2767, 630, 1993, 476, 6977, 264, 556, 2657, 1299, 8881, 630, 25217, 26639, 264, 530, 7064, 547, 7711, 611, 600, 330, 9127, 454, 9213, 649, 3323, 609, 513, 2671, 676, 8225, 10493, 1014, 14088, 918, 9127, 269, 1261, 15091, 519, 2956, 540, 10312, 269, 1261, 3379, 1010, 31939, 607, 851, 540, 2185, 1004, 4737, 532, 2066, 519, 5836, 1373, 10930, 982, 14964, 513, 27576, 630, 517, 513, 4939, 6476, 264, 543, 1500, 606, 21658, 547, 6117, 513, 1286, 1107, 3006, 811, 3106, 2934, 2306, 596, 1447, 5059, 2507, 907, 330, 1749, 586, 2454, 538, 1394, 267, 6049, 30366, 3092, 5288, 535, 1539, 540, 14964, 513, 11332, 630, 2254, 16460, 6049, 607, 3668, 540, 9885, 1696, 620, 2333, 1445, 270, 10277, 1145, 540, 3388, 3116, 2469, 593, 16634, 663, 596, 666, 914, 602, 950, 789, 941, 593, 519, 5836, 789, 941, 966, 28475, 5059, 563, 15987, 1256, 1287, 621, 568, 2009, 547, 723, 8090, 1141, 3007, 666, 581, 4503, 269, 2334, 568, 1141, 7041, 6927, 269, 1879, 789, 3765, 9080, 3022, 513, 5951, 543, 606, 522, 541, 13264, 16634, 16269, 941, 2111, 547, 11766, 513, 4262, 19671, 543, 2327, 789, 941, 2922, 538, 1931, 547, 1205, 1919, 6378, 630, 618, 958, 543, 3937, 958, 1916, 4517, 1287, 606, 1383, 540, 1018, 5949, 950, 519, 10935, 11503, 1242, 269, 1656, 9811, 267, 1256, 1498, 789, 1185, 5423, 585, 713, 2507, 514, 3069, 16634, 1492, 4641, 2731, 11363, 875, 596, 4308, 609, 7827, 3927, 269, 5269, 2386, 596, 666, 6952, 707, 7362, 269, 27297, 1018, 519, 4957, 2175, 630, 516, 1275, 264, 616, 563, 307, 749, 2984, 815, 7340, 454, 5938, 778, 24866, 815, 3314, 454, 1103, 341, 9876, 519, 5304, 815, 1451, 454, 2791, 2052, 5706, 10758, 2052, 1491, 593, 5539, 454, 5278, 1919, 649, 666, 1852, 912, 20806, 3188, 281, 1018, 568, 707, 1985, 7108, 29274, 4090, 286, 1548, 616, 596, 3001, 2509, 888, 1432, 616, 596, 3257, 547, 1205, 4712, 888, 20112, 29274, 16474, 757, 991, 13287, 540, 912, 263, 4517, 9427, 2258, 2510, 540, 1346, 994, 5415, 982, 8236, 281, 5763, 5898, 543, 21239, 630, 8117, 13287, 540, 4835, 9716, 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 ]

[ 21506, 476, 30240, 2276, 1114, 4778, 676, 1210, 607, 1906, 652, 1114, 4778, 607, 2009, 23228, 18257, 1477, 5814, 19523, 5897, 18257, 1477, 2171, 786, 8675, 1239, 1826, 547, 2099, 519, 519, 4786, 540, 519, 2475, 538, 1106, 540, 606, 3768, 20526, 3113, 23228, 763, 1412, 4486, 262, 4564, 513, 2475, 1533, 630, 320, 14584, 538, 519, 3113, 1040, 1477, 763, 1412, 7407, 262, 4564, 513, 1592, 540, 11105, 2276, 630, 29951, 8809, 14622, 264, 547, 519, 2285, 1533, 630, 591, 23753, 1040, 1477, 18257, 1477, 29951, 659, 1890, 8548, 777, 15058, 318, 24433, 815, 2715, 1477, 262, 288, 298, 9166, 1496, 3910, 1477, 262, 3201, 9166, 18358, 5960, 12887, 307, 301, 12887, 16598, 12887, 14566, 28710, 1477, 262, 2752, 9166, 18358, 19616, 12887, 307, 301, 12887, 5960, 12887, 6369, 12887, 307, 311, 12887, 10498, 28710, 1477, 262, 288, 313, 9166, 18358, 7563, 12887, 301, 309, 12887, 7473, 12887, 4596, 12887, 301, 300, 28710, 1477, 262, 7563, 9166, 18358, 3036, 12887, 301, 309, 12887, 288, 313, 28710, 1477, 262, 4596, 9166, 18358, 310, 312, 12887, 20911, 12887, 16775, 12887, 10498, 12887, 301, 300, 12887, 288, 313, 12887, 7473, 28710, 1477, 262, 6311, 9166, 18358, 29369, 12887, 7246, 12887, 6020, 28710, 1477, 262, 291, 290, 9166, 18358, 13270, 12887, 22849, 28710, 1477, 262, 291, 292, 9166, 18358, 13270, 12887, 5183, 12887, 301, 297, 28710, 1477, 262, 14566, 9166, 18358, 3201, 12887, 16598, 28710, 1477, 262, 16598, 9166, 18358, 14566, 12887, 3201, 12887, 307, 301, 12887, 10998, 12887, 17092, 28710, 1477, 262, 26980, 9166, 1496, 3910, 1477, 262, 8656, 9166, 18358, 300, 301, 12887, 310, 296, 12887, 6579, 12887, 19616, 12887, 20911, 12887, 16256, 28710, 1477, 262, 2839, 9166, 18358, 21587, 12887, 310, 312, 12887, 7473, 12887, 301, 309, 12887, 3036, 12887, 23354, 28710, 1477, 262, 6579, 9166, 18358, 2562, 12887, 298, 312, 12887, 19616, 12887, 8656, 12887, 310, 296, 28710, 1477, 262, 2562, 9166, 18358, 11085, 12887, 15121, 12887, 298, 312, 12887, 6579, 28710, 1477, 262, 16775, 9166, 18358, 20911, 12887, 19616, 12887, 10498, 12887, 4596, 28710, 1477, 262, 298, 312, 9166, 18358, 2562, 12887, 15121, 12887, 310, 309, 12887, 22849, 12887, 307, 301, 12887, 19616, 12887, 6579, 28710, 1477, 262, 6369, 9166, 18358, 307, 311, 12887, 2752, 12887, 5960, 28710, 1477, 262, 300, 288, 9166, 18358, 6020, 12887, 6311, 12887, 29369, 12887, 26822, 12887, 309, 307, 28710, 1477, 262, 300, 291, 9166, 18358, 22849, 12887, 310, 309, 12887, 5183, 12887, 17584, 12887, 14701, 28710, 1477, 262, 300, 292, 9166, 18358, 26822, 28710, 1477, 262, 300, 296, 9166, 18358, 310, 296, 12887, 2562, 12887, 15121, 28710, 1477, 262, 300, 301, 9166, 18358, 310, 296, 12887, 8656, 12887, 16256, 12887, 21254, 28710, 1477, 262, 300, 302, 9166, 18358, 8656, 12887, 6579, 12887, 298, 312, 12887, 307, 301, 12887, 2752, 12887, 10498, 12887, 16775, 12887, 20911, 28710, 1477, 262, 300, 306, 9166, 18358, 6369, 12887, 2752, 12887, 307, 301, 12887, 3201, 28710, 1477, 262, 300, 307, 9166, 18358, 21254, 12887, 16256, 12887, 310, 312, 12887, 2839, 28710, 1477, 262, 10998, 9166, 18358, 22849, 12887, 307, 301, 12887, 16598, 12887, 17092, 28710, 1477, 262, 21254, 9166, 18358, 300, 301, 12887, 16256, 12887, 21587, 28710, 1477, 262, 20911, 9166, 18358, 16256, 12887, 8656, 12887, 19616, 12887, 16775, 12887, 4596, 12887, 310, 312, 28710, 1477, 262, 26822, 9166, 18358, 309, 307, 12887, 10933, 12887, 7246, 28710, 1477, 262, 301, 297, 9166, 18358, 14701, 12887, 5183, 12887, 29369, 28710, 1477, 262, 301, 300, 9166, 18358, 288, 313, 12887, 7473, 12887, 4596, 12887, 10498, 12887, 307, 311, 28710, 1477, 262, 301, 309, 9166, 18358, 2839, 12887, 7473, 12887, 288, 313, 12887, 7563, 12887, 3036, 28710, 1477, 262, 29369, 9166, 18358, 301, 297, 12887, 5183, 12887, 309, 307, 12887, 7246, 12887, 6311, 28710, 1477, 262, 15121, 9166, 18358, 5183, 12887, 310, 309, 12887, 298, 312, 12887, 2562, 12887, 11085, 28710, 1477, 262, 10498, 9166, 18358, 16775, 12887, 19616, 12887, 2752, 12887, 307, 311, 12887, 301, 300, 12887, 4596, 28710, 1477, 262, 3036, 9166, 18358, 7563, 12887, 301, 309, 12887, 2839, 12887, 23354, 28710, 1477, 262, 5183, 9166, 18358, 29369, 12887, 301, 297, 12887, 14701, 12887, 13270, 12887, 310, 309, 12887, 15121, 28710, 1477, 262, 6020, 9166, 18358, 6311, 12887, 7246, 28710, 1477, 24202, 290, 9166, 18358, 16598, 12887, 10998, 28710, 1477, 24202, 291, 9166, 18358, 21254, 12887, 300, 301, 12887, 8656, 12887, 20911, 12887, 310, 312, 12887, 21587, 28710, 1477, 31415, 301, 9166, 18358, 298, 312, 12887, 22849, 12887, 10998, 12887, 16598, 12887, 3201, 12887, 5960, 12887, 2752, 12887, 19616, 28710, 1477, 31415, 311, 9166, 18358, 301, 300, 12887, 10498, 12887, 2752, 12887, 6369, 28710, 1477, 262, 7473, 9166, 18358, 2839, 12887, 310, 312, 12887, 4596, 12887, 301, 300, 12887, 288, 313, 12887, 301, 309, 28710, 1477, 262, 22849, 9166, 18358, 10998, 12887, 307, 301, 12887, 298, 312, 12887, 310, 309, 12887, 13270, 12887, 17584, 28710, 1477, 262, 309, 307, 9166, 18358, 29369, 12887, 26822, 12887, 7246, 28710, 1477, 262, 23354, 9166, 18358, 2839, 12887, 3036, 28710, 1477, 262, 310, 296, 9166, 18358, 11085, 12887, 300, 301, 12887, 8656, 12887, 6579, 28710, 1477, 262, 310, 309, 9166, 18358, 15121, 12887, 5183, 12887, 13270, 12887, 22849, 12887, 298, 312, 28710, 1477, 262, 310, 312, 9166, 18358, 21587, 12887, 16256, 12887, 20911, 12887, 4596, 12887, 7473, 12887, 2839, 11172, 1477, 348, 24653, 18257, 1477, 19152, 281, 476, 272, 9936, 1477, 453, 14090, 281, 453, 283, 323, 5315, 285, 1477, 453, 453, 4486, 281, 476, 453, 283, 11415, 285, 476, 453, 28442, 540, 513, 3557, 3418, 453, 453, 7407, 281, 476, 453, 283, 4289, 285, 476, 453, 453, 17338, 540, 11105, 2276, 10142, 20479, 281, 476, 272, 1871, 1477, 453, 3712, 1819, 8548, 777, 281, 453, 283, 323, 5315, 285, 1477, 453, 453, 4486, 281, 476, 453, 283, 11415, 285, 476, 453, 28442, 540, 513, 3557, 3418, 453, 453, 7407, 281, 476, 453, 283, 842, 285, 476, 453, 453, 263, 10233, 540, 519, 3557, 3418, 18257, 1477, 3698, 530, 19977, 7272, 578, 749, 318, 14607, 3596, 332, 9852, 777, 8029, 453, 1477, 453, 15893, 15058, 22674, 832, 815, 476, 271, 1948, 1297, 540, 4778, 1031, 547, 2681, 519, 4786, 23228, 453, 1477, 453, 258, 513, 8675, 609, 1412, 4486, 262, 568, 519, 2012, 540, 513, 3557, 267, 543, 1412, 7407, 262, 568, 519, 1297, 540, 11105, 2276, 547, 602, 3557, 23228, 453, 1998, 766, 8548, 777, 815, 9598, 18750, 760, 9852, 777, 269, 12399, 19572, 1496, 6352, 9852, 777, 20572, 8079, 585, 1535, 538, 4786, 269, 12399, 3890, 8079, 10142, 453, 258, 513, 1592, 540, 2276, 15044, 676, 519, 1297, 540, 11105, 2276, 585, 1142, 3557, 630, 1492, 3557, 609, 1034, 11105, 2276, 7396, 1101, 1040, 1477, 453, 338, 9285, 8217, 15058, 14067, 919, 815, 15044, 263, 1998, 766, 8548, 777, 267, 1883, 815, 1130, 766, 8548, 777, 10947, 267, 9258, 815, 6936, 3418, 453, 1477, 453, 258, 15475, 602, 649, 991, 476, 2004, 1114, 4778, 585, 476, 2004, 1114, 2276, 23228, 453, 3712, 832, 815, 1496, 15947, 22610, 1775, 538, 2039, 263, 2004, 267, 476, 271, 267, 910, 272, 2567, 1948, 4778, 616, 3957, 476, 272, 267, 476, 273, 267, 476, 274, 267, 24222, 476, 2004, 23228, 453, 453, 3712, 832, 6910, 9217, 3418, 453, 1477, 453, 258, 513, 8675, 5627, 782, 2276, 609, 741, 4778, 269, 21506, 453, 3712, 1819, 8548, 777, 815, 15079, 1477, 22610, 1883, 538, 4786, 269, 12399, 28399, 453, 453, 3712, 1819, 8548, 777, 314, 4486, 316, 815, 1412, 29734, 262, 1948, 7620, 267, 782, 2276, 262, 4778, 616, 10145, 23228, 4848, 1477, 22610, 4994, 538, 2039, 12759, 4433, 9285, 8217, 15058, 14067, 919, 264, 2567, 1948, 585, 1142, 3557, 538, 519, 15044, 1592, 23228, 453, 453, 8063, 815, 15044, 8217, 15058, 14067, 919, 27709, 316, 1948, 2824, 519, 3557, 609, 5207, 32447, 593, 519, 15044, 1592, 23228, 453, 14851, 630, 3712, 1819, 8548, 777, 314, 8063, 316, 2652, 1412, 29734, 262, 2567, 1948, 952, 713, 3557, 568, 711, 11954, 2943, 23228, 4848, 453, 2908, 318, 10233, 815, 4778, 21014, 3890, 1948, 3442, 513, 1007, 2681, 689, 519, 1305, 540, 4778, 23228, 4848, 453, 3712, 1819, 8548, 777, 314, 8063, 316, 815, 1007, 318, 10233, 1948, 2681, 713, 3557, 609, 713, 1007, 2681, 23228, 4848, 453, 15893, 15058, 22674, 832, 6834, 476, 272, 1948, 2333, 1297, 540, 4778, 1031, 23228, 4848, 1477, 4848, 453, 258, 3004, 2091, 1524, 519, 1592, 6730, 2681, 1169, 3557, 1477, 4848, 453, 258, 453, 6518, 568, 711, 4448, 547, 519, 11954, 2276, 1657, 519, 1482, 2681, 23228, 4848, 22610, 824, 26077, 538, 15044, 8217, 15058, 14067, 919, 27709, 1341, 476, 272, 281, 316, 6769, 15235, 453, 4777, 318, 2254, 318, 10233, 815, 8771, 1948, 713, 4756, 1031, 547, 6430, 2436, 610, 711, 649, 4019, 513, 2681, 547, 513, 14584, 23228, 15235, 14851, 263, 3712, 1819, 8548, 777, 314, 1278, 26077, 316, 2652, 1412, 29734, 262, 2567, 1948, 952, 519, 3557, 568, 711, 11954, 2943, 23228, 20930, 14851, 9852, 777, 314, 1278, 26077, 316, 2652, 15234, 2567, 1948, 952, 513, 3557, 814, 1100, 16705, 23228, 4848, 15235, 453, 3712, 1819, 8548, 777, 314, 1278, 26077, 316, 815, 476, 272, 1948, 4019, 519, 2681, 476, 272, 547, 602, 3557, 269, 769, 938, 2013, 267, 14522, 543, 16127, 616, 2681, 476, 272, 23228, 20930, 28432, 281, 1948, 952, 513, 3557, 814, 693, 25755, 476, 272, 16705, 1477, 4848, 15235, 22610, 11105, 26077, 538, 4786, 314, 1278, 26077, 13912, 1948, 585, 1142, 3557, 11105, 547, 519, 1412, 1278, 26077, 8339, 1477, 20930, 4848, 14851, 263, 3712, 1819, 8548, 777, 314, 29951, 8809, 26077, 316, 2652, 1007, 318, 10233, 2567, 1948, 952, 835, 540, 519, 1412, 29951, 8809, 26077, 262, 814, 519, 1412, 2908, 318, 10233, 8339, 1477, 20930, 15235, 453, 4777, 318, 2254, 318, 10233, 815, 6936, 1948, 798, 711, 2681, 519, 1412, 1278, 26077, 8339, 1477, 20930, 15235, 453, 19874, 1477, 4848, 15235, 14851, 263, 4777, 318, 2254, 318, 10233, 2652, 8771, 2567, 1948, 952, 9039, 540, 519, 1412, 29951, 8809, 26077, 262, 814, 519, 1412, 2908, 318, 10233, 8339, 1477, 20930, 4848, 453, 3712, 1819, 8548, 777, 314, 1278, 26077, 316, 815, 1007, 318, 10233, 1948, 1948, 2681, 519, 1412, 1278, 26077, 8339, 1477, 20930, 15235, 1477, 13537, 3488, 2467, 616, 3299, 1297, 15058, 22674, 832, 267, 1412, 18528, 5166, 4778, 941, 1031, 256, 10807, 1948, 1820, 856, 1297, 540, 4778, 1031, 269, 4848, 15235, 1477, 16596, 11954, 8548, 777, 1948, 2132, 519, 11954, 4528, 540, 519, 772, 2529, 269, 4786, 269, 5897, 258, 19334, 519, 1599, 1820, 3890, 2630, 547, 1820, 856, 519, 1267, 630, 320, 8675, 1040, 453, 1477, 2745, 26028, 19977, 7272, 578, 749, 318, 14607, 3596, 332, 263, 29951, 659, 1890, 8548, 777, 15058, 318, 24433, 17903, 5897, 5897, 5897, 5897, 5897, 5897, 24653 ]

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

[ 476, 272, 8386, 974, 2473, 3036, 1883, 585, 5569, 563, 3698, 7058, 318, 272, 2421, 974, 13448, 528, 19304, 272, 2187, 825, 1193, 318, 6352, 815, 7003, 19304, 272, 994, 825, 8464, 815, 31460, 825, 5931, 815, 31460, 825, 585, 1775, 538, 2039, 263, 3953, 267, 476, 14695, 2187, 1038, 1883, 815, 669, 337, 9217, 994, 1038, 1883, 23919, 815, 1883, 2608, 1193, 318, 6352, 454, 1038, 10750, 3667, 815, 535, 343, 528, 19304, 272, 267, 1883, 23919, 994, 1038, 5931, 314, 4486, 316, 815, 10750, 3667, 454, 1038, 8464, 314, 4486, 316, 815, 6060, 263, 21622, 3667, 994, 825, 1883, 815, 3193, 4433, 13990, 267, 1883, 284, 338, 13990, 10947, 994, 825, 1164, 23962, 815, 8464, 314, 4486, 2639, 825, 1257, 815, 5931, 314, 4486, 2639, 825, 1948, 1820, 1412, 4486, 281, 1412, 1341, 1883, 454, 825, 1948, 1820, 1412, 3667, 281, 1412, 1341, 1257, 454, 825, 2132, 27835, 4486, 9166, 1883, 267, 1412, 16557, 9166, 1164, 23962, 267, 1412, 3667, 9166, 1257, 10926, 258, 24143, 513, 5569, 1759, 593, 679, 1501, 4484, 12451, 563, 3698, 6060, 19304, 272, 2187, 825, 1193, 272, 815, 1193, 272, 31573, 4590, 825, 12451, 815, 4484, 6958, 7528, 4293, 4590, 825, 521, 338, 815, 476, 271, 269, 271, 454, 825, 585, 4484, 538, 12451, 269, 3438, 12399, 10031, 1038, 4397, 6958, 15968, 815, 12451, 314, 12072, 2639, 1038, 4890, 6958, 15968, 815, 1193, 272, 29644, 263, 12072, 994, 1038, 521, 338, 6834, 4073, 263, 716, 783, 6958, 15968, 910, 4397, 6958, 15968, 267, 476, 273, 994, 825, 2132, 521, 338, 692, 258, 6875, 15279, 10276, 322, 10757, 5569, 543, 6460, 547, 3490, 5038, 563, 3698, 15279, 273, 321, 5038, 263, 28411, 23919, 2187, 825, 2132, 15279, 23919, 19709, 13892, 3488, 28411, 262, 1040, 523, 13892, 3488, 19668, 5038, 17210, 258, 17776, 9598, 540, 7005, 4484, 12451, 563, 3698, 4484, 6958, 7528, 4293, 10031, 476, 2132, 27835, 320, 9166, 271, 269, 32146, 6858, 267, 1412, 321, 9166, 271, 269, 26522, 10844, 267, 1412, 322, 9166, 271, 269, 271, 2767, 11025, 267, 1412, 323, 9166, 271, 269, 271, 5655, 7871, 267, 1412, 324, 9166, 271, 269, 14096, 6349, 267, 1412, 325, 9166, 271, 269, 28873, 2764, 267, 1412, 326, 9166, 271, 269, 22903, 1428, 267, 1412, 327, 9166, 271, 269, 271, 2568, 11463, 267, 1412, 328, 9166, 271, 269, 6187, 280, 5780, 267, 1412, 329, 9166, 271, 269, 9826, 7871, 267, 1412, 330, 9166, 271, 269, 23669, 7761, 267, 1412, 331, 9166, 271, 269, 31239, 1839, 267, 1412, 332, 9166, 271, 269, 271, 2190, 6187, 267, 1412, 333, 9166, 271, 269, 6187, 278, 5392, 267, 1412, 334, 9166, 271, 269, 271, 4037, 5881, 267, 1412, 335, 9166, 271, 269, 25171, 3066, 267, 1412, 336, 9166, 271, 269, 1822, 4817, 267, 1412, 337, 9166, 271, 269, 4962, 280, 9262, 267, 1412, 338, 9166, 271, 269, 6187, 274, 2767, 267, 1412, 339, 9166, 271, 269, 271, 3445, 6321, 267, 1412, 340, 9166, 271, 269, 271, 2767, 6812, 267, 1412, 341, 9166, 271, 269, 27947, 4281, 267, 1412, 342, 9166, 271, 269, 271, 2537, 2568, 267, 1412, 343, 9166, 271, 269, 9826, 2004, 267, 1412, 344, 9166, 271, 269, 25171, 10619, 267, 1412, 345, 9166, 271, 269, 1822, 10619, 267, 1412, 1412, 281, 271, 269, 2641, 10926, 258, 30770, 30623, 532, 3845, 1063, 1079, 12673, 563, 3698, 554, 2459, 532, 19304, 272, 267, 1193, 273, 2187, 825, 2132, 2040, 6025, 984, 1080, 6600, 343, 528, 19304, 272, 267, 1193, 273, 4297, 2020, 258, 22417, 5569, 547, 11353, 630, 5228, 10518, 1478, 6503, 1916, 3698, 10119, 1080, 4433, 2187, 825, 1267, 815, 11713, 825, 585, 524, 538, 521, 912, 1038, 11353, 815, 10822, 263, 867, 6262, 4297, 314, 273, 281, 2639, 1038, 11353, 815, 1412, 1822, 1822, 876, 262, 314, 6352, 6357, 1080, 2567, 316, 1341, 11353, 454, 1038, 1267, 269, 2169, 754, 8443, 842, 6357, 264, 585, 536, 538, 11353, 7481, 825, 2132, 1267, 692, 258, 2871, 612, 678, 343, 528, 10569, 1125, 563, 3698, 678, 343, 528, 318, 12399, 1125, 19304, 272, 2187, 825, 10569, 3278, 815, 31460, 825, 585, 10569, 1125, 538, 2039, 263, 273, 267, 476, 2412, 2187, 1038, 3845, 815, 476, 271, 454, 1038, 7161, 815, 1496, 1193, 272, 314, 12399, 1125, 265, 328, 281, 12399, 1125, 16732, 328, 266, 272, 13580, 585, 1775, 538, 2039, 263, 275, 264, 23378, 1038, 585, 1775, 538, 2039, 263, 275, 2187, 2018, 585, 795, 538, 2039, 9217, 2187, 3546, 952, 630, 328, 11203, 795, 2187, 7386, 3845, 6834, 554, 2459, 532, 263, 4565, 4169, 5157, 3910, 7161, 14728, 7481, 1038, 10569, 3278, 314, 12399, 1125, 316, 815, 3845, 1315, 10581, 263, 12399, 1125, 994, 825, 2132, 1295, 263, 12399, 3278, 267, 1883, 284, 12399, 3278, 10947, 2020, 258, 15434, 1188, 678, 343, 528, 454, 3698, 678, 343, 528, 6831, 571, 1188, 19304, 272, 267, 10569, 1125, 2187, 825, 7161, 815, 1496, 1193, 272, 314, 12399, 1125, 265, 328, 281, 12399, 1125, 16732, 328, 266, 272, 13580, 585, 1775, 538, 2039, 12759, 19304, 272, 8358, 12399, 1125, 22708, 825, 512, 4565, 4169, 815, 31460, 825, 585, 1775, 538, 2039, 263, 12399, 1125, 2187, 1038, 1883, 23026, 815, 1412, 7055, 1038, 585, 795, 538, 2039, 12759, 263, 4565, 4169, 15892, 2018, 1883, 23026, 815, 1883, 23026, 1341, 7161, 14728, 6012, 328, 2639, 1038, 512, 4565, 4169, 5157, 316, 815, 1883, 23026, 454, 825, 1883, 815, 1412, 7055, 825, 585, 1775, 538, 2039, 263, 12399, 1125, 2187, 1038, 1883, 815, 1883, 1341, 7058, 318, 272, 2421, 974, 13448, 528, 6025, 4565, 4169, 5157, 8079, 9131, 4486, 23300, 825, 2132, 1883, 692, 3698, 14950, 7272, 330, 14369, 278, 19304, 272, 267, 3259, 2187, 825, 2132, 1193, 7272, 611, 19304, 272, 267, 3259, 267, 27719, 343, 6860, 5602, 0, 3698, 17278, 27182, 2187, 825, 4484, 290, 3941, 815, 1496, 867, 9217, 264, 476, 585, 1775, 538, 2262, 2639, 825, 4484, 290, 3941, 314, 271, 316, 6834, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 12072, 290, 3941, 15892, 1038, 4484, 290, 3941, 5157, 316, 476, 6834, 4484, 290, 3941, 5157, 910, 272, 316, 3097, 825, 585, 1775, 538, 2039, 12759, 263, 12072, 290, 3941, 15892, 1038, 1247, 630, 12072, 290, 3941, 5157, 316, 711, 538, 2039, 263, 867, 3488, 320, 30670, 630, 867, 3488, 345, 10807, 1341, 476, 272, 4297, 2187, 2018, 4484, 290, 3941, 5157, 316, 20699, 476, 2918, 454, 825, 1267, 815, 1496, 577, 337, 9217, 264, 585, 1775, 538, 4484, 290, 3941, 2639, 825, 2132, 1412, 8339, 21860, 31114, 994, 3698, 1232, 7973, 27182, 2187, 825, 4484, 290, 3941, 476, 815, 1496, 867, 9217, 264, 585, 1775, 538, 2262, 2639, 825, 3105, 815, 4484, 290, 3941, 314, 271, 2639, 825, 4484, 290, 3941, 314, 271, 316, 20699, 476, 272, 454, 825, 4484, 290, 3941, 314, 271, 316, 815, 3142, 4504, 334, 305, 1052, 263, 12072, 290, 3941, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 12072, 290, 3941, 15892, 1038, 10917, 815, 4484, 290, 3941, 5157, 2639, 1038, 4484, 290, 3941, 5157, 316, 20699, 3105, 454, 1038, 4484, 290, 3941, 5157, 316, 815, 3142, 4504, 334, 305, 1052, 263, 12072, 290, 3941, 5157, 7481, 1038, 3105, 815, 476, 10917, 454, 825, 1267, 815, 1496, 577, 337, 9217, 264, 585, 1775, 538, 4484, 290, 3941, 2639, 825, 2132, 1412, 8339, 21860, 31114, 994, 3698, 3142, 4504, 334, 305, 1052, 6262, 1712, 2187, 825, 1247, 263, 2254, 6262, 1712, 13843, 476, 9032, 543, 3009, 10922, 476, 14338, 15892, 1038, 3009, 6834, 476, 2918, 454, 825, 2132, 3009, 454, 2745, 263, 20657, 7973, 2891, 323, 2254, 336, 257, 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 ]

[ 273, 281, 16259, 519, 2725, 1846, 454, 307, 3234, 4430, 3170, 689, 519, 16469, 267, 6028, 930, 2261, 17331, 585, 8137, 543, 5104, 545, 1465, 269, 12338, 519, 14132, 883, 1804, 4773, 267, 827, 476, 273, 6279, 5394, 269, 6215, 823, 519, 20230, 13035, 5979, 514, 883, 1199, 718, 687, 269, 28116, 519, 9269, 6089, 610, 2759, 519, 25427, 338, 883, 4130, 13980, 269, 24143, 519, 8732, 902, 540, 519, 32711, 714, 334, 543, 2849, 322, 8759, 30725, 1137, 25241, 958, 267, 1818, 2386, 711, 547, 2759, 998, 873, 7357, 269, 5590, 782, 519, 16469, 11735, 780, 3721, 476, 274, 281, 12706, 519, 623, 1551, 8759, 610, 9605, 16381, 454, 2252, 1210, 513, 533, 1551, 8759, 630, 326, 18115, 1070, 840, 17742, 621, 547, 5420, 30041, 3002, 269, 1403, 2679, 513, 3595, 8486, 267, 5531, 2614, 3819, 20743, 610, 23315, 547, 1711, 513, 3905, 5127, 540, 900, 1499, 269, 4495, 1396, 267, 1577, 519, 3595, 6633, 1524, 2394, 972, 616, 1100, 811, 26428, 267, 1152, 30437, 1071, 1023, 269, 24619, 856, 519, 1071, 1023, 14961, 543, 1747, 513, 16416, 18172, 593, 1283, 780, 3721, 476, 275, 281, 6182, 650, 519, 590, 9476, 1137, 454, 20278, 519, 32711, 714, 334, 543, 2849, 322, 8759, 30725, 1137, 5196, 519, 1989, 650, 1101, 2094, 789, 1491, 3476, 547, 3434, 269, 13648, 873, 585, 5111, 476, 276, 3764, 829, 2427, 610, 2394, 23182, 536, 27547, 543, 5743, 6853, 269, 17179, 873, 689, 519, 1989, 650, 543, 1305, 873, 11735, 1247, 5986, 519, 824, 16469, 269, 5901, 3636, 676, 8720, 29101, 609, 23240, 780, 3721, 476, 276, 281, 6182, 650, 519, 3816, 8724, 2725, 1846, 454, 11754, 519, 3677, 11912, 540, 5779, 630, 2041, 1030, 543, 20230, 264, 547, 519, 1989, 650, 269, 13648, 873, 585, 827, 476, 275, 268, 276, 3764, 829, 2427, 585, 5420, 268, 571, 516, 1810, 8864, 269, 17797, 5986, 942, 1759, 593, 707, 9053, 1377, 540, 1810, 8864, 269, 18734, 519, 11273, 16469, 547, 513, 726, 2660, 543, 17895, 29101, 609, 23240, 547, 1832, 3636, 269, 8921, 267, 1989, 650, 519, 9269, 4773, 585, 476, 275, 268, 277, 3764, 829, 2427, 610, 2394, 4628, 11273, 269, 9255, 519, 11273, 9269, 593, 519, 1482, 726, 2660, 607, 519, 824, 16469, 780, 3721, 476, 277, 281, 5269, 519, 932, 574, 747, 584, 686, 28397, 576, 454, 4407, 519, 16469, 616, 16889, 267, 1118, 519, 16403, 747, 584, 686, 14036, 269, 28799, 4195, 16163, 2917, 267, 524, 559, 656, 549, 267, 13342, 267, 2699, 9174, 16693, 267, 14462, 3282, 267, 6070, 267, 3109, 14723, 267, 543, 16760, 2699, 14723, 1166, 1389, 630, 604, 1210, 264, 538, 513, 1025, 2658, 610, 1426, 16267, 269, 2349, 754, 2394, 5347, 267, 16150, 532, 1524, 519, 5011, 607, 2877, 269, 570, 4292, 543, 4188, 4005, 532, 952, 2556, 269, 32449, 519, 14036, 883, 513, 1507, 12826, 780, 3721, 476, 278, 281, 31160, 519, 1306, 5964, 454, 20228, 823, 519, 14132, 543, 20230, 1996, 519, 10286, 883, 6094, 21100, 269, 28081, 782, 519, 16469, 593, 513, 1804, 726, 2660, 267, 10483, 676, 519, 3636, 539, 30725, 1137, 269, 667, 686, 14794, 930, 16403, 747, 584, 686, 14036, 936, 519, 16469, 543, 4196, 519, 6967, 14036, 593, 519, 2427, 269, 17949, 707, 8076, 14861, 15687, 607, 5964, 609, 1920, 543, 2828, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4322, 631, 26663, 6980, 689, 6239, 543, 3162, 3013, 616, 3638, 538, 1686, 543, 8137, 563, 3528, 631, 5417, 773, 645, 2033, 454, 5804, 18335, 547, 27816, 267, 1169, 2197, 538, 5824, 3013, 22842, 513, 2442, 8670, 602, 2306, 7188, 619, 9020, 16484, 608, 8010, 2485, 350, 5226, 2946, 678, 3821, 635, 5866, 256, 29393, 543, 1303, 4181, 5423, 609, 7573, 543, 10365, 267, 18717, 543, 28306, 625, 267, 2030, 1622, 543, 844, 29184, 543, 14132, 543, 3165, 3640, 513, 24362, 609, 1169, 11116, 269, 3143, 2339, 519, 17811, 1293, 267, 6712, 2450, 610, 7674, 2511, 267, 891, 5065, 8286, 616, 607, 3638, 538, 1686, 607, 789, 616, 538, 8137, 563, 763, 8670, 281, 1306, 15606, 568, 18335, 779, 4528, 540, 3046, 13069, 826, 269, 1323, 607, 5964, 2356, 5161, 540, 14132, 267, 20230, 267, 9269, 267, 32711, 714, 334, 543, 2849, 322, 8759, 799, 616, 11273, 593, 513, 1989, 650, 267, 1572, 513, 533, 1551, 8759, 267, 610, 606, 1930, 3595, 269, 634, 5779, 568, 3335, 6039, 609, 932, 574, 747, 584, 686, 14036, 563, 763, 1686, 281, 717, 879, 577, 657, 267, 21409, 7504, 5443, 538, 519, 476, 1240, 628, 543, 476, 866, 628, 5553, 267, 616, 20295, 609, 713, 5137, 269, 9603, 547, 922, 3668, 540, 8673, 267, 789, 1131, 887, 770, 14132, 936, 3574, 689, 519, 6446, 3630, 11155, 3529, 267, 799, 5795, 519, 5779, 513, 1360, 3638, 8137, 269, 589, 7729, 26833, 4496, 1932, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 6239, 1977, 1299, 3162, 1977, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 769, 519, 7706, 540, 5837, 6138, 267, 1079, 7986, 3506, 540, 2219, 1796, 856, 538, 741, 4485, 547, 5683, 21140, 543, 21520, 910, 26874, 30527, 543, 26874, 4039, 520, 13659, 269, 1452, 6436, 1683, 721, 609, 3982, 14485, 998, 799, 649, 666, 2070, 543, 5659, 2152, 7282, 1434, 543, 9409, 269, 634, 5571, 4655, 538, 12907, 6799, 513, 8903, 4316, 547, 2263, 891, 10952, 5380, 269, 1677, 2253, 267, 1577, 781, 4983, 1312, 26874, 30527, 543, 26874, 4039, 520, 13659, 538, 3152, 3178, 780, 1262, 300, 7394, 30527, 26279, 4263, 922, 4295, 267, 26874, 30527, 29102, 602, 972, 2291, 6662, 5837, 18408, 543, 2418, 4830, 540, 1367, 8369, 610, 2686, 8658, 269, 4340, 547, 713, 3069, 267, 1978, 3527, 616, 20244, 1318, 610, 4636, 1813, 547, 741, 12972, 630, 528, 3765, 7955, 618, 264, 609, 891, 8471, 5837, 5013, 269, 1280, 3236, 267, 12638, 267, 17403, 267, 543, 14084, 1131, 581, 2808, 25432, 4636, 7488, 540, 6848, 8155, 610, 2123, 4978, 269, 901, 5133, 7512, 15984, 547, 513, 5812, 5837, 5943, 2066, 942, 543, 2230, 780, 28274, 26874, 30527, 547, 519, 3510, 538, 12907, 267, 649, 1522, 8044, 602, 6576, 781, 16957, 946, 540, 17049, 12440, 544, 684, 1431, 543, 18532, 13389, 540, 21127, 13822, 2312, 8320, 540, 1799, 528, 1275, 269, 1635, 3423, 908, 3964, 3486, 4031, 2966, 547, 2149, 1875, 18474, 520, 1218, 267, 6576, 6411, 1996, 24080, 7608, 5837, 3741, 269, 9182, 267, 1346, 3743, 585, 971, 1098, 326, 11306, 1058, 3068, 12477, 267, 17923, 519, 2856, 602, 5837, 18408, 16637, 2797, 6302, 543, 608, 3394, 2886, 540, 13137, 780, 1262, 300, 7394, 4039, 520, 13659, 26279, 6944, 337, 3320, 267, 26874, 4039, 520, 13659, 733, 1742, 602, 5837, 21520, 8451, 689, 1367, 5380, 267, 1514, 14908, 267, 610, 3140, 6381, 269, 898, 11363, 519, 1909, 540, 16148, 7664, 538, 8159, 1018, 568, 16363, 31719, 3280, 1369, 1808, 8658, 269, 4935, 267, 896, 713, 3069, 267, 621, 3587, 4101, 547, 6003, 1022, 2962, 607, 11008, 1227, 1412, 2431, 262, 610, 1412, 342, 3994, 10086, 2094, 971, 20241, 554, 16636, 593, 1880, 14604, 540, 4704, 780, 5804, 513, 26874, 4039, 520, 22999, 18879, 267, 12570, 519, 3510, 538, 12907, 1223, 1291, 547, 1114, 8753, 4470, 2390, 519, 7550, 7406, 540, 4704, 269, 1280, 1383, 267, 952, 649, 2015, 519, 23786, 4690, 6117, 6576, 781, 9525, 538, 12907, 267, 835, 949, 7682, 602, 741, 12485, 5447, 609, 3084, 7580, 6859, 1107, 17021, 873, 5732, 1175, 16666, 689, 513, 8887, 643, 2065, 21169, 269, 1717, 267, 950, 6313, 519, 1482, 9183, 3842, 519, 7828, 540, 3486, 1480, 2924, 1876, 267, 519, 3527, 3144, 676, 6739, 4229, 796, 25406, 665, 958, 21556, 4922, 6444, 4441, 540, 2932, 780, 1103, 3932, 267, 2502, 609, 1950, 4207, 7526, 899, 519, 835, 11200, 532, 538, 12907, 2636, 721, 547, 5490, 4514, 883, 519, 14960, 540, 26874, 30527, 543, 26874, 4039, 520, 13659, 269, 2755, 26874, 7464, 1235, 2226, 32344, 19647, 547, 6207, 5837, 18408, 543, 7222, 2272, 3809, 267, 26874, 4039, 520, 643, 1235, 20838, 519, 4644, 540, 32638, 2188, 5935, 938, 5683, 813, 20333, 1023, 269, 1306, 2565, 17024, 267, 14237, 606, 4656, 540, 891, 17804, 16752, 6087, 721, 547, 1935, 10296, 2518, 4145, 609, 8356, 766, 543, 7214, 22759, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21581, 689, 22640, 3767, 454, 257, 308, 330, 1778, 1014, 8387, 616, 934, 6748, 6576, 540, 22867, 2112, 10963, 585, 11318, 21127, 269, 21977, 5518, 5292, 1328, 3240, 337, 2098, 601, 839, 5652, 543, 9167, 3401, 28715, 2592, 540, 4666, 21127, 538, 519, 19109, 643, 1016, 7875, 540, 29246, 320, 267, 1141, 24767, 525, 941, 1336, 16445, 532, 519, 10754, 1310, 6739, 10136, 24013, 4319, 689, 519, 1858, 267, 930, 609, 741, 3946, 3808, 3297, 741, 19758, 269, 2201, 11016, 267, 2549, 333, 17965, 4139, 849, 3370, 513, 1867, 602, 10446, 20240, 6576, 814, 26991, 3486, 1876, 538, 1210, 17049, 12440, 544, 684, 1431, 543, 824, 9604, 602, 967, 4593, 3234, 514, 2299, 6146, 21127, 269, 968, 1432, 779, 1044, 2469, 593, 1282, 519, 3003, 811, 982, 513, 3923, 1631, 540, 4655, 26350, 3978, 7634, 543, 12477, 585, 519, 10419, 21116, 2223, 3081, 11835, 22828, 3057, 10719, 267, 6433, 3210, 8689, 693, 2549, 333, 17965, 4139, 267, 945, 1071, 22052, 23482, 519, 1867, 269, 968, 11693, 713, 29287, 10514, 731, 618, 540, 19742, 16973, 543, 13102, 267, 649, 2461, 10912, 585, 519, 10661, 540, 2922, 19493, 23725, 832, 547, 1450, 21127, 547, 15413, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 7394, 30527, 5288, 269, 26874, 4039, 520, 13659, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 6153, 1299, 5345, 559, 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, 7705, 281, 19850, 7585, 256, 5620, 596, 2479, 4862, 827, 519, 9533, 16899, 538, 4516, 2496, 7692, 281, 3143, 267, 594, 10093, 1405, 269, 7316, 616, 789, 2496, 8334, 281, 1358, 616, 538, 8109, 4516, 543, 1331, 1715, 19839, 1873, 1157, 267, 1715, 11398, 1633, 543, 6997, 30786, 267, 25429, 32108, 267, 543, 13584, 11977, 6816, 780, 7692, 281, 7937, 267, 3579, 256, 2052, 649, 3643, 972, 14693, 2496, 8334, 281, 17610, 256, 898, 1131, 581, 513, 1390, 1747, 547, 2263, 269, 9894, 596, 917, 602, 519, 8225, 2229, 814, 513, 2027, 1982, 1572, 519, 9533, 26790, 15815, 582, 5358, 2496, 7692, 281, 1548, 781, 602, 2496, 8334, 281, 4270, 267, 621, 2337, 12820, 538, 1346, 2185, 16899, 1265, 9952, 4600, 689, 824, 2477, 269, 901, 1259, 267, 4213, 666, 1332, 267, 543, 2950, 1831, 811, 3309, 780, 7692, 281, 2334, 4992, 4277, 256, 1215, 1281, 621, 960, 2496, 8334, 281, 1323, 16108, 9060, 513, 1268, 789, 1616, 547, 16926, 689, 1776, 2197, 267, 543, 952, 519, 11832, 10742, 1978, 4170, 267, 519, 2754, 666, 9930, 3729, 873, 585, 8628, 32031, 780, 7692, 281, 1924, 267, 1004, 1810, 1405, 1175, 1847, 972, 1510, 513, 2816, 267, 1318, 2496, 8334, 281, 22549, 256, 1411, 991, 547, 723, 513, 2816, 2709, 1354, 7311, 269, 1656, 1705, 596, 917, 602, 713, 1982 ]

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

[ 306, 21683, 311, 4532, 270, 318, 291, 560, 311, 4532, 786, 581, 3773, 454, 1729, 519, 2707, 7933, 652, 1588, 2232, 1310, 835, 2262, 814, 1044, 23652, 630, 1492, 561, 338, 321, 568, 454, 531, 1811, 476, 271, 865, 1152, 1256, 1213, 906, 666, 581, 1031, 1040, 9935, 267, 519, 2707, 7933, 525, 8894, 339, 1588, 2232, 786, 581, 1213, 7757, 676, 9041, 306, 21683, 312, 4532, 270, 318, 291, 560, 312, 4532, 1310, 835, 4737, 814, 454, 2041, 523, 23652, 269, 713, 5526, 1360, 3730, 952, 596, 1616, 5299, 513, 476, 3953, 18920, 2647, 838, 1679, 454, 20041, 513, 5496, 609, 476, 17168, 9587, 610, 952, 596, 991, 547, 1025, 527, 476, 273, 3787, 30350, 575, 325, 343, 883, 513, 5496, 454, 5976, 476, 275, 3787, 680, 6951, 585, 3236, 563, 553, 1346, 27861, 616, 9896, 707, 2707, 7933, 652, 1588, 14249, 666, 1256, 581, 1085, 10165, 454, 26238, 519, 1025, 7867, 13333, 2262, 20218, 543, 607, 621, 2115, 547, 581, 2111, 547, 13861, 454, 4226, 15129, 12449, 693, 2899, 1346, 865, 1572, 834, 754, 332, 3696, 257, 616, 1031, 547, 1118, 2386, 454, 6518, 540, 519, 476, 1626, 11353, 540, 513, 10278, 2262, 616, 547, 581, 4957, 269, 519, 1101, 1439, 332, 2532, 454, 262, 318, 17484, 300, 12921, 272, 262, 786, 581, 1031, 585, 519, 1101, 2262, 540, 513, 4737, 547, 581, 9268, 267, 519, 2063, 835, 454, 262, 318, 17484, 300, 12921, 274, 262, 585, 519, 2063, 835, 593, 513, 4737, 267, 6606, 269, 1412, 318, 17484, 300, 12921, 273, 262, 786, 581, 1031, 782, 519, 454, 5503, 538, 1063, 563, 28387, 267, 891, 27861, 666, 581, 3730, 20471, 596, 5299, 513, 2707, 13551, 602, 568, 454, 333, 5535, 518, 982, 707, 10278, 13551, 543, 711, 5116, 593, 513, 476, 1626, 18920, 13988, 454, 323, 652, 1588, 2990, 630, 324, 3052, 269, 952, 596, 22717, 322, 2651, 513, 838, 1679, 936, 519, 5496, 1916, 262, 318, 7749, 262, 6763, 585, 834, 15595, 1111, 821, 5106, 257, 543, 6645, 519, 1025, 7867, 799, 1259, 596, 1616, 519, 454, 1626, 2262, 10300, 1111, 821, 1790, 520, 1181, 267, 799, 949, 581, 1305, 909, 2705, 596, 899, 267, 547, 581, 9268, 563, 11004, 616, 2185, 1502, 7441, 885, 267, 865, 1152, 519, 2539, 476, 273, 11353, 540, 713, 31632, 616, 1031, 912, 876, 630, 271, 264, 910, 1305, 782, 519, 10278, 1532, 1080, 547, 476, 272, 454, 4905, 630, 272, 264, 910, 946, 10300, 1111, 821, 15155, 1152, 454, 1015, 630, 273, 264, 910, 2707, 454, 1556, 630, 274, 264, 910, 2707, 1299, 10300, 1111, 821, 15155, 454, 8145, 1897, 519, 834, 3832, 1087, 4580, 4806, 257, 2877, 585, 519, 16995, 1854, 1815, 565, 528, 31300, 518, 1505, 454, 9188, 8282, 538, 835, 540, 1250, 3105, 18862, 7790, 519, 2063, 5106, 7154, 1522, 581, 1175, 454, 728, 531, 585, 602, 3483, 952, 596, 1305, 909, 713, 3787, 6312, 1181, 3330, 519, 10300, 1111, 821, 15155, 563, 1492, 2539, 562, 756, 1076, 540, 713, 31632, 11578, 6645, 519, 1025, 7867, 875, 519, 2707, 17280, 781, 1239, 2676, 6518, 7654, 3893, 5916, 609, 519, 10300, 1111, 821, 1239, 1354, 267, 543, 519, 10278, 781, 454, 2158, 723, 547, 581, 25401, 5532, 1927, 269, 607, 713, 1871, 568, 513, 562, 756, 1076, 1871, 476, 1626, 886, 1370, 454, 332, 3941, 616, 2009, 267, 540, 1576, 912, 271, 910, 782, 10278, 11353, 815, 476, 271, 454, 272, 910, 10278, 815, 2707, 1299, 10278, 454, 273, 910, 10278, 815, 2707, 1299, 9625, 323, 652, 1588, 454, 274, 910, 10278, 815, 2707, 454, 275, 910, 10278, 815, 9625, 25899, 1299, 10278, 454, 276, 910, 10278, 815, 10278, 454, 277, 910, 10278, 815, 2707, 9745, 10278, 454, 278, 910, 10278, 815, 2707, 1923, 10278, 454, 279, 910, 10278, 815, 9625, 25899, 1299, 9625, 323, 652, 1588, 454, 280, 910, 10278, 815, 9625, 25899, 9745, 10278, 454, 320, 910, 10278, 815, 9625, 323, 652, 1588, 454, 321, 910, 10278, 815, 2707, 1923, 9625, 323, 652, 1588, 454, 322, 910, 10278, 815, 9625, 25899, 454, 323, 910, 10278, 815, 9625, 25899, 1923, 10278, 454, 324, 910, 10278, 815, 9625, 25899, 1923, 9625, 323, 652, 1588, 454, 325, 910, 782, 10278, 11353, 815, 476, 272, 454, 1492, 1034, 1455, 1505, 786, 581, 7154, 476, 274, 630, 323, 652, 1588, 815, 2707, 1040, 12331, 476, 277, 543, 476, 278, 666, 454, 2041, 5363, 1247, 3843, 547, 1711, 11413, 610, 2681, 11544, 2360, 563, 263, 261, 815, 9266, 6730, 267, 9625, 815, 9266, 10691, 267, 1923, 815, 9266, 10758, 267, 9745, 815, 9266, 2473, 3036, 994, 1492, 2063, 1025, 7867, 11578, 568, 8237, 909, 883, 1079, 25466, 799, 11753, 2789, 3252, 563, 6518, 267, 538, 1250, 6644, 267, 2306, 621, 519, 1034, 7294, 835, 10778, 1492, 2539, 476, 275, 11353, 540, 519, 5580, 31632, 18121, 742, 742, 279, 320, 274, 322, 264, 540, 713, 11578, 3313, 799, 540, 454, 1492, 476, 1626, 3515, 540, 519, 10300, 1111, 821, 15155, 786, 581, 1031, 585, 519, 4737, 4867, 1373, 1025, 26860, 563, 1492, 1871, 786, 581, 1213, 7757, 610, 3526, 7757, 4470, 593, 519, 1129, 540, 834, 318, 291, 560, 312, 18823, 4840, 12898, 835, 4737, 729, 1025, 26860, 543, 16833, 1472, 1169, 476, 1626, 2053, 563, 553, 4166, 607, 519, 865, 1572, 834, 15551, 11070, 12283, 257, 9206, 630, 4226, 476, 276, 264, 540, 713, 31632, 568, 1305, 519, 1699, 3368, 8894, 339, 821, 4737, 786, 581, 6074, 2687, 547, 519, 476, 275, 2547, 1713, 11353, 540, 519, 2707, 2262, 454, 327, 3058, 1044, 23652, 267, 3079, 910, 607, 5018, 713, 568, 519, 1152, 834, 785, 1311, 5466, 454, 332, 1712, 257, 1634, 547, 519, 1025, 7867, 563, 604, 3787, 476, 277, 9497, 295, 8104, 257, 3787, 264, 568, 23498, 519, 1668, 786, 581, 3838, 676, 519, 524, 30298, 543, 519, 1025, 7867, 454, 323, 1005, 519, 1025, 527, 910, 789, 3513, 14595, 1169, 476, 5038, 1668, 31260, 269, 952, 596, 7500, 519, 1025, 7867, 538, 454, 10472, 865, 1572, 670, 8104, 7154, 6382, 267, 519, 1668, 786, 581, 19526, 2394, 519, 1025, 527, 568, 936, 269, 538, 454, 10472, 2013, 596, 1058, 581, 6297, 267, 1498, 1317, 540, 519, 6044, 4776, 21255, 829, 8894, 11526, 676, 476, 27151, 343, 271, 524, 16476, 799, 1797, 602, 519, 1985, 6044, 568, 2608, 2254, 265, 16798, 454, 1729, 581, 13401, 1175, 1310, 519, 1025, 7867, 568, 2944, 563, 1729, 2327, 713, 596, 3513, 723, 547, 2638, 3787, 476, 278, 9497, 289, 4785, 312, 257, 9206, 264, 799, 786, 581, 1305, 607, 1279, 454, 553, 519, 1025, 7867, 568, 3742, 269, 2965, 267, 4259, 519, 645, 4785, 312, 3787, 786, 581, 519, 2063, 2962, 2877, 454, 514, 1931, 547, 1376, 519, 13863, 1310, 3388, 3116, 814, 581, 3355, 2213, 563, 1492, 1985, 31632, 11578, 18121, 742, 742, 279, 320, 274, 323, 264, 1770, 525, 3388, 2877, 585, 22717, 322, 13764, 707, 454, 25899, 1239, 799, 540, 1576, 568, 6913, 676, 13346, 873, 269, 519, 1297, 540, 1318, 10593, 454, 1952, 29736, 593, 519, 2707, 1913, 568, 5462, 676, 519, 2539, 562, 756, 1076, 540, 713, 11578, 1572, 454, 28494, 298, 11246, 2668, 5225, 581, 2264, 602, 713, 568, 1152, 5497, 585, 13346, 934, 1484, 835, 7077, 803, 320, 8894, 940, 602, 607, 4166, 607, 596, 616, 2469, 547, 7729, 342, 2789, 7077, 575, 325, 343, 596, 786, 723, 547, 946, 513, 454, 20123, 760, 817, 1025, 527, 267, 6923, 563, 11004, 616, 1079, 3606, 17514, 602, 949, 581, 2877, 547, 2995, 519, 1025, 7867, 875, 519, 2253, 8894, 940, 543, 519, 1439, 540, 513, 2707, 1899, 723, 547, 581, 1224, 269, 4470, 593, 519, 7729, 342, 1871, 543, 454, 517, 519, 12972, 540, 707, 10278, 10465, 621, 949, 581, 2556, 547, 1224, 606, 3063, 454, 25899, 2262, 693, 519, 4098, 540, 513, 4737, 910, 713, 666, 581, 6913, 676, 4259, 3787, 476, 278, 9497, 293, 311, 17876, 4840, 6518, 1797, 3196, 3063, 2707, 1224, 264, 540, 713, 11578, 563, 517, 519, 824, 1688, 519, 2063, 2262, 593, 513, 4737, 666, 581, 1236, 5792, 3006, 4470, 593, 454, 1492, 1482, 2188, 607, 1657, 910, 713, 942, 596, 9364, 991, 547, 1305, 3787, 476, 277, 9497, 301, 12396, 305, 257, 2495, 1100, 454, 325, 1400, 2707, 1224, 264, 540, 1269, 742, 742, 279, 320, 274, 323, 563, 5503, 547, 3308, 1047, 1586, 267, 1775, 7058, 2433, 1040, 538, 519, 1739, 3009, 1383, 1775, 786, 2119, 1397, 596, 875, 547, 1305, 909, 454, 1492, 1025, 7867, 27861, 538, 1931, 547, 5299, 513, 835, 7077, 2707, 13551, 540, 476, 5038, 1535, 476, 5038, 19641, 883, 519, 1647, 454, 1993, 513, 476, 275, 3787, 30350, 1970, 637, 5496, 630, 17168, 1535, 476, 1220, 264, 585, 3236, 269, 713, 2707, 3096, 606, 4824, 630, 534, 11924, 14764, 540, 454, 1492, 1025, 7867, 27861, 5018, 4505, 912, 282, 3689, 11578, 2877, 676, 721, 454, 282, 3503, 9041, 306, 21683, 311, 4532, 630, 272, 264, 543, 9041, 306, 21683, 312, 4532, 630, 271, 264, 693, 2899, 454, 282, 5590, 782, 519, 1439, 332, 3696, 547, 1269, 742, 742, 454, 282, 607, 938, 10278, 3787, 7615, 6238, 454, 282, 693, 513, 2262, 10465, 454, 282, 9041, 291, 560, 311, 4532, 815, 476, 279, 267, 18178, 476, 275, 3787, 680, 6951, 1310, 1142, 2262, 454, 282, 9041, 291, 560, 312, 4532, 815, 1269, 3199, 267, 18178, 476, 12553, 630, 8182, 268, 279, 265, 5038, 270, 1626, 264, 25466, 1142, 4737, 454, 282, 4741, 10278, 13551, 454, 282, 630, 11820, 4510, 815, 476, 8182, 16732, 1911, 268, 3953, 11924, 263, 3199, 268, 1626, 264, 261, 268, 279, 994, 282, 9041, 311, 15575, 815, 476, 276, 267, 1775, 4318, 269, 5299, 476, 275, 1913, 1142, 4737, 454, 282, 9041, 312, 15575, 815, 1269, 2412, 267, 5299, 476, 5038, 9343, 454, 282, 9041, 7749, 2433, 2707, 1152, 630, 273, 994, 282, 9041, 641, 2433, 10278, 815, 2707, 630, 274, 994, 282, 1546, 716, 10675, 670, 8104, 2173, 1712, 454, 282, 3143, 2707, 7729, 342, 454, 282, 22084, 344, 3787, 454, 282, 3399, 519, 1025, 7867, 454, 282, 19244, 607, 1279, 607, 519, 1025, 7867, 568, 3742, 454, 1492, 2063, 8520, 2115, 3787, 540, 606, 2491, 566, 267, 1775, 15475, 267, 607, 621, 3085, 1405, 3100, 547, 1118, 602, 1454, 2631, 693, 519, 454, 14140, 2070, 269, 19037, 267, 621, 781, 2653, 912, 553, 519, 1025, 7867, 3085, 1405, 554, 690, 519, 1668, 630, 4226, 476, 277, 540, 9041, 18118, 19617, 815, 476, 271, 264, 855, 8843, 621, 609, 519, 524, 30298, 676, 476, 5038, 9979, 1142, 2676, 30524, 333, 1405, 621, 581, 1390, 547, 1577, 519, 524, 30298, 1287, 1685, 1945, 3730, 693, 519, 942, 540, 922, 476, 5038, 9979, 3079, 540, 454, 573, 548, 532, 543, 23646, 1524, 519, 1025, 527, 7790, 554, 7825, 332, 267, 9493, 1695, 1390, 855, 1282, 602, 8520, 621, 3085, 1405, 798, 4376, 855, 7836, 454, 16341, 9219, 31260, 547, 1964, 691, 519, 1025, 7867, 1318, 2476, 267, 596, 1522, 2161, 269, 1134, 267, 621, 1281, 910, 855, 1810, 1405, 7340, 602, 454, 11004, 616, 14443, 338, 910, 607, 1279, 607, 519, 1025, 7867, 3788, 538, 554, 690, 7154, 267, 14443, 338, 1058, 581, 16981, 1282, 519, 454, 4565, 527, 269, 1210, 621, 609, 713, 8945, 267, 693, 2547, 1346, 14443, 338, 949, 581, 4625, 3742, 1510, 20427, 23646, 454, 6658, 519, 1025, 9231, 3491, 947, 269, 536, 13512, 281, 713, 4480, 7902, 4998, 585, 519, 954, 331, 864, 512, 338, 337, 454, 328, 27573, 585, 631, 9298, 5254, 338, 563, 325, 3373, 267, 952, 596, 9364, 1869, 899, 547, 1451, 930, 811, 827, 4359, 4238, 596, 1223, 581, 5461, 538, 2921, 693, 454, 19972, 693, 513, 2370, 1025, 7867, 1383, 1606, 10547, 1775, 23553, 585, 4010, 519, 1482, 3483, 2433, 1916, 268, 476, 1220, 273, 18422, 2260, 269, 1206, 764, 269, 910, 0, 2304, 3447, 1807, 779, 590, 4869, 344, 6874, 6851, 3687, 1393, 14506, 6651, 1677, 16473, 8210, 2084, 519, 11778, 540, 2659, 16505, 454, 294, 4599, 707, 21641, 543, 1577, 779, 2992, 563, 5575, 26062, 3687, 2373, 281, 26875, 1125, 2659, 13405, 885, 454, 1432, 616, 707, 14422, 888, 1432, 1919, 616, 2921, 2476, 689, 707, 14422, 888, 1432, 3527, 786, 596, 1376, 270, 17380, 270, 11666, 826, 547, 948, 596, 5447, 707, 960, 609, 707, 14422, 888, 8855, 281, 519, 19829, 568, 513, 2898, 1268, 269, 898, 779, 2556, 547, 723, 707, 1134, 5630, 267, 543 ]

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

[ 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2764, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 3299, 1412, 271, 269, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3066, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3066, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3066, 912, 2018, 1582, 27863, 3488, 271, 269, 4366, 273, 4037, 279, 30663, 6924, 280, 277, 4649, 15094, 31979, 8064, 274, 9818, 275, 3299, 1412, 271, 269, 4366, 273, 4037, 279, 30663, 6924, 280, 277, 4649, 15094, 31979, 8064, 274, 9818, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 1789, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 1789, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 1789, 912, 2018, 1582, 27863, 3488, 271, 269, 5379, 277, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 3299, 1412, 271, 269, 5379, 277, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4029, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4029, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4029, 912, 2018, 1582, 27863, 3488, 271, 269, 26493, 277, 1321, 3445, 274, 18597, 3199, 277, 26493, 277, 1321, 3445, 274, 18597, 279, 3299, 1412, 271, 269, 26493, 277, 1321, 3445, 274, 18597, 3199, 277, 26493, 277, 1321, 3445, 274, 18597, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3953, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3953, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3953, 912, 2018, 1582, 27863, 3488, 271, 269, 275, 4391, 276, 3299, 1412, 271, 269, 275, 4391, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3451, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3451, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3451, 912, 2018, 1582, 27863, 3488, 271, 269, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 273, 3299, 1412, 271, 269, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 26237, 275, 2190, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4097, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4097, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4097, 912, 2018, 1582, 27863, 3488, 271, 269, 30329, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 6078, 12293, 30420, 276, 6434, 273, 3299, 1412, 271, 269, 30329, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 6078, 12293, 30420, 276, 6434, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3374, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3374, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3374, 912, 2018, 1582, 27863, 3488, 271, 269, 275, 3299, 1412, 271, 269, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3607, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3607, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3607, 912, 2018, 1582, 27863, 3488, 271, 269, 4343, 279, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 280, 3299, 1412, 271, 269, 4343, 279, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 31229, 280, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4391, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4391, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4391, 912, 2018, 1582, 27863, 3488, 271, 269, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 275, 3299, 1412, 271, 269, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 274, 4281, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4343, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4343, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4343, 912, 2018, 1582, 27863, 3488, 271, 269, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 32180, 277, 3299, 1412, 271, 269, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 32180, 277, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4375, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4375, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4375, 912, 2018, 1582, 27863, 3488, 271, 269, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 280, 271, 3299, 1412, 271, 269, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 279, 9032, 275, 3374, 280, 271, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 2412, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 2412, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2412, 912, 2018, 1582, 27863, 3488, 271, 269, 3374, 3299, 1412, 271, 269, 3374, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 6078, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6078, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6078, 912, 2018, 1582, 27863, 3488, 271, 269, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 272, 3299, 1412, 271, 269, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 5655, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 5655, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 5655, 912, 2018, 1582, 27863, 3488, 271, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 274, 3299, 1412, 271, 269, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 18357, 274, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 6246, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6246, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6246, 912, 2018, 1582, 27863, 3488, 271, 269, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 275, 3299, 1412, 271, 269, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 4510, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4510, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4510, 912, 2018, 1582, 27863, 3488, 271, 269, 28760, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 273, 3299, 1412, 271, 269, 28760, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 8687, 279, 1240, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 3393, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3393, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3393, 912, 2018, 1582, 27863, 3488, 271, 269, 25313, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 272, 3299, 1412, 271, 269, 25313, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1691, 5091, 643, 1707, 318, 5379, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1691, 454, 1038, 1582, 8542, 636, 273, 815, 476, 5379, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1691, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 5379, 912, 2018, 1582, 27863, 3488, 271, 269, 19054, 31003, 279, 2918, 5400, 277, 4817, 277, 276, 2641, 278, 4375, 9873, 275, 4097, 279, 3299, 1412, 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 ]

[ 269, 2311, 713, 1448, 2783, 589, 5157, 268, 272, 316, 10922, 645, 14728, 316, 568, 7301, 269, 901, 1797, 267, 649, 8359, 1775, 1932, 2462, 543, 8754, 649, 6175, 2039, 11489, 1775, 268, 272, 799, 1631, 476, 274, 780, 6124, 1775, 543, 795, 616, 3254, 2630, 269, 16448, 589, 5157, 268, 272, 316, 10922, 645, 14728, 316, 543, 645, 14728, 268, 272, 316, 10922, 589, 14728, 316, 568, 3020, 269, 17776, 1295, 10490, 5157, 3910, 645, 14728, 8079, 607, 737, 628, 10545, 3693, 799, 568, 476, 277, 780, 1012, 8943, 547, 1265, 918, 628, 10545, 3693, 538, 1079, 15044, 14249, 692, 3499, 17569, 720, 635, 2593, 11952, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 866, 269, 275, 269, 1240, 563, 265, 13045, 21504, 1362, 918, 628, 22102, 652, 292, 2211, 2715, 692, 21504, 11979, 5595, 1265, 298, 628, 22102, 652, 292, 2211, 17301, 26514, 589, 267, 703, 26514, 645, 267, 703, 737, 264, 346, 692, 842, 26514, 10917, 16963, 842, 7003, 288, 815, 589, 32324, 3248, 842, 7003, 289, 815, 645, 32324, 16963, 604, 12759, 288, 1341, 7003, 289, 2999, 737, 264, 2132, 910, 272, 16963, 842, 1775, 14737, 815, 476, 271, 3248, 842, 1775, 16655, 815, 6715, 518, 269, 2381, 10490, 32324, 267, 737, 268, 272, 32007, 842, 1775, 815, 476, 271, 3248, 842, 795, 815, 476, 271, 16963, 6112, 630, 328, 14737, 10922, 1775, 16655, 264, 13634, 328, 815, 630, 328, 14737, 1341, 1775, 16655, 264, 1315, 476, 273, 3248, 329, 815, 737, 910, 476, 272, 910, 1775, 282, 12262, 1317, 540, 4642, 1759, 4994, 454, 604, 630, 289, 14728, 910, 476, 272, 316, 3436, 589, 5157, 8079, 13634, 2260, 1775, 568, 1932, 1507, 267, 1590, 2333, 621, 454, 328, 14737, 815, 1775, 1341, 476, 272, 3248, 348, 3116, 952, 630, 328, 3436, 476, 271, 30974, 589, 5157, 910, 476, 272, 316, 3436, 645, 14728, 8079, 13634, 2260, 1775, 568, 1932, 2462, 267, 1590, 6175, 621, 454, 328, 16655, 815, 1775, 910, 476, 272, 3248, 348, 3116, 13634, 2260, 1775, 568, 3501, 454, 8873, 6715, 518, 269, 2381, 10490, 5157, 3910, 645, 14728, 8079, 3248, 8679, 8679, 8873, 910, 272, 3248, 10926, 21504, 11979, 20704, 1292, 263, 21803, 26514, 26571, 264, 19127, 842, 26514, 513, 815, 2715, 272, 267, 274, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1556, 348, 3248, 842, 26514, 536, 815, 2715, 272, 267, 275, 267, 277, 267, 279, 267, 1321, 267, 1691, 267, 1428, 267, 1704, 348, 16963, 29602, 10545, 815, 1265, 298, 628, 22102, 652, 292, 2211, 5416, 14720, 267, 476, 280, 11850, 21902, 269, 719, 31428, 15238, 2891, 298, 628, 10545, 3693, 568, 2433, 834, 1341, 10545, 11850, 8679, 10926, 7884, 4467, 14658, 640, 540, 5690, 547, 1265, 918, 628, 10545, 3693, 538, 9769, 540, 1079, 14249, 568, 744, 263, 8421, 18217, 266, 300, 4297, 780, 8923, 2671, 952, 972, 568, 1945, 4636, 610, 7508, 269, 649, 1131, 581, 19914, 547, 5873, 689, 596, 269, 1403, 596, 616, 8600, 585, 606, 5967, 543, 1616, 547, 1174, 875, 547, 1935, 621, 267, 5225, 1433, 513, 1863, 18006, 8400, 780, 1012, 4427, 6783, 609, 2040, 4642, 692, 11693, 606, 5044, 540, 2318, 543, 2942, 9981, 267, 1265, 513, 1016, 6783, 609, 2040, 4642, 538, 602, 5044, 269, 1280, 1383, 267, 538, 519, 5044, 2016, 2630, 267, 972, 616, 1079, 1016, 541, 7590, 4171, 2609, 2040, 547, 4642, 780, 27778, 1393, 3196, 1505, 547, 1265, 1016, 6783, 609, 2040, 4642, 786, 581, 547, 1265, 782, 1016, 268, 541, 7590, 540, 519, 5044, 543, 1287, 1039, 873, 14350, 547, 1294, 952, 1022, 1016, 6783, 8591, 909, 547, 4642, 269, 1703, 666, 581, 2387, 333, 2608, 630, 333, 268, 272, 23375, 1016, 541, 7590, 585, 513, 2016, 5044, 540, 2450, 562, 267, 865, 519, 6988, 540, 1490, 1393, 3196, 3070, 568, 2387, 302, 3799, 273, 23375, 780, 3499, 17569, 720, 635, 2593, 11952, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 3248, 5814, 28162, 269, 583, 559, 13034, 1662, 24961, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 274, 269, 1321, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 313, 3266, 11764, 13634, 21504, 703, 32582, 1265, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 17301, 26514, 513, 264, 19127, 842, 7003, 815, 513, 32324, 16963, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 842, 476, 2040, 476, 815, 476, 271, 3248, 1721, 17301, 795, 284, 328, 282, 795, 283, 6352, 282, 795, 10030, 264, 19127, 8999, 6834, 513, 14728, 30092, 604, 4433, 636, 2652, 476, 271, 264, 19127, 8873, 1488, 7590, 6983, 4878, 8170, 305, 1052, 5416, 267, 328, 25814, 266, 272, 11850, 8679, 8679, 8679, 8873, 1007, 703, 314, 271, 30092, 8679, 8679, 7884, 2971, 4530, 2665, 692, 3499, 17569, 720, 1449, 16963, 5814, 635, 2593, 11952, 2529, 889, 6783, 4415, 313, 3266, 11764, 3248, 5814, 610, 326, 12459, 22780, 12459, 17132, 269, 777, 328, 11053, 652, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 16963, 5814, 11979, 610, 326, 12459, 22780, 6993, 1087, 1068, 20596, 13420, 1023, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 2537, 269, 280, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 11764, 313, 3266, 14818, 2715, 692, 8138, 6783, 4415, 313, 3266, 11764, 512, 6856, 815, 1007, 4427, 6783, 4415, 313, 3266, 11764, 3890, 16963, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 27778, 1393, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 268, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5591, 8138, 26161, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 273, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 15079, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 27778, 1393, 3080, 292, 2211, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 476, 271, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 271, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 27778, 1393, 5416, 4297, 11850, 8679, 8679, 7884, 2162, 4855, 1016, 6783, 609, 2040, 4642, 281, 4555, 692, 288, 1016, 6783, 568, 513, 733, 27631, 851, 540, 606, 5044, 269, 2913, 779, 2161, 649, 1265, 519, 2040, 540, 1016, 6783, 4358, 693, 476, 271, 543, 10678, 693, 1022, 4994, 1775, 269, 1924, 267, 570, 5157, 316, 4564, 519, 2040, 540, 1016, 6783, 589, 314, 271, 907, 328, 316, 780, 1432, 952, 649, 723, 1079, 17523, 1775, 543, 795, 282, 971, 602, 2387, 328, 283, 795, 319, 543, 2387, 307, 5157, 316, 815, 570, 14728, 316, 18269, 769, 713, 2013, 267, 782, 519, 2609, 799, 616, 1063, 4994, 1775, 543, 4994, 795, 1039, 909, 547, 4642, 543, 602, 568, 938, 1016, 6783, 609, 2040, 4642, 563, 21920, 540, 1016, 6783, 609, 2040, 4642, 786, 581, 795, 25829, 266, 272, 780, 2971, 23840, 692, 3499, 17569, 720, 635, 2593, 11952, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 3248, 5814, 28162, 269, 583, 559, 13034, 1662, 24961, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 274, 269, 1321, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 313, 3266, 11764, 13634, 21504, 703, 32582, 1265, 8138, 6783, 4415, 313, 3266, 11764, 17301, 26514, 513, 264, 346, 692, 842, 7003, 815, 513, 32324, 16963, 842, 32582, 570, 815, 1007, 703, 314, 6352, 316, 16963, 307, 314, 271, 316, 815, 513, 314, 271, 30092, 1721, 17301, 1775, 284, 272, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 307, 5157, 316, 815, 570, 5157, 268, 272, 316, 1341, 513, 5157, 30092, 10926, 2260, 4467, 14658, 640, 540, 2630, 3009, 568, 744, 3799, 317, 273, 2020, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 1721, 17301, 795, 284, 328, 266, 272, 282, 795, 283, 6352, 282, 795, 10030, 264, 19127, 604, 24867, 5157, 316, 2525, 570, 14728, 8079, 19127, 8873, 1488, 7590, 6983, 4878, 8170, 305, 1052, 5416, 267, 1775, 266, 272, 267, 795, 266, 272, 11850, 8679, 8679, 8679, 8873, 1007, 703, 314, 271, 30092, 8679, 8679, 7884, 2971, 4530, 2665, 692, 3499, 17569, 720, 1449, 16963, 5814, 635, 2593, 11952, 2529, 889, 6783, 4415, 313, 3266, 11764, 3248, 5814, 610, 326, 12459, 22780, 12459, 17132, 269, 777, 328, 11053, 652, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 16963, 5814, 11979, 610, 326, 12459, 22780, 6993, 1087, 1068, 20596, 13420, 1023, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 2537, 269, 280, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 11764, 313, 3266, 14818, 2715, 692, 8138, 6783, 4415, 313, 3266, 11764, 512, 6856, 815, 1007, 4427, 6783, 4415, 313, 3266, 11764, 3890, 16963, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 268, 274, 267, 910, 272, 267, 476, 275, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 5591, 8138, 26161, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 910, 274, 267, 910, 273, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 15079, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 5416, 4297, 11850, 10926, 287, 14818, 454, 21504, 20704, 1016, 6783, 4415, 313, 3266, 11764, 3080, 292, 2211, 14818, 3890, 2715, 692, 842, 26514, 513, 815, 2715, 273, 267, 476, 271, 267, 910, 272, 267, 476, 275, 348, 3248, 842, 32582, 3977, 815, 2715, 271, 348, 3248, 16386, 13420, 1023, 263, 6635, 7590, 30419, 21803, 263, 16059, 13211, 6635, 7590, 30419, 21803, 263, 5052, 614, 26098, 8138, 6783, 4415, 313, 3266, 11764, 5416, 4297, 11850, 8679, 7884, 763, 6988, 540, 519, 5690, 547, 1265, 513, 1016, 6783, 609, 4642, 2040, 538, 513, 2016, 5044, 540, 9981, 568, 2387, 302, 3799, 273, 23375, 609, 606, 3606, 2230, 6988, 540, 2387, 302, 3799, 23375, 547, 4558, 2040, 11489, 4994, 1775, 780, 2171, 666, 11126, 621, 2417, 676, 2870, 513, 19474, 540, 782, 519, 18304, 799, 649, 1294, 1247, 4946, 269, 1879, 649, 1039, 519, 4994, 1775, 547, 2907, 7229, 2040, 11489, 4994, 1775, 268, 272, 267, 649, 2638, 952, 519, 1007, 2040, 568, 4642, 286, 1403, 9811, 267, 1287, 1016, 6783, 689, 476, 271, 547, 4994, 1775, 1039, 909, 547, 4642, 269, 1403, 972, 568, 2907, 513, 2040, 1459, 799, 568, 3160, 547, 519, 1699, 2040, 1287, 972, 568, 1016, 6783, 609, 2040, 1109, 14706, 1063, 4994, 950, 649, 4718, 519, 2040, 2063, 543, 1699, 4994, 780, 3499, 17569, 720, 635, 2593, 11952, 16963, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 3248, 5814, 28162, 269, 583, 559, 13034, 1662, 24961, 16963, 270, 12533, 265, 23095, 676, 521, 30865, 593, 476, 274, 269, 1321, 269, 1240, 563, 265, 13045, 21504, 1362, 4427, 6783, 4415, 313, 3266, 11764, 2715, 692, 21504, 703, 32582, 1265, 8138, 6783, 4415, 313, 3266, 11764, 18893, 574, 1242, 17301, 26514, 513, 264, 346, 692, 842, 7003, 815, 513, 32324, 16963, 295, 1662, 24961, 283, 18204, 518, 267, 6715, 518, 285, 570, 815, 1007, 25300, 24961, 283, 18204, 518, 267, 6715, 518, 285, 3890, 16963, 842, 2040, 476, 815, 476, 271, 476, 3248, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 6352, 282, 1775, 10030, 264, 19127, 8999, 476, 6834, 513, 5157, 30092, 604, 24867, 10947 ]

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

[ 3194, 563, 8649, 5074, 13028, 625, 538, 19978, 26337, 454, 26123, 2494, 11245, 338, 267, 25927, 725, 267, 543, 31157, 454, 9349, 1299, 11473, 17352, 454, 3519, 26810, 540, 2052, 22528, 896, 26056, 1299, 519, 769, 4003, 540, 519, 11270, 540, 519, 7225, 2471, 476, 9610, 277, 268, 15389, 272, 7460, 454, 14707, 3101, 585, 18266, 7641, 454, 763, 667, 22866, 3933, 8944, 540, 5840, 1299, 28311, 476, 280, 3953, 268, 6812, 278, 7460, 454, 763, 31519, 1299, 8187, 15227, 654, 6387, 902, 896, 15584, 476, 13893, 277, 268, 9610, 277, 7460, 454, 14503, 797, 540, 25424, 1309, 269, 476, 20065, 271, 7460, 454, 29994, 538, 519, 16527, 540, 519, 7225, 2471, 476, 15389, 272, 268, 10441, 280, 7460, 454, 763, 2136, 3933, 8944, 476, 10441, 280, 268, 280, 3953, 7460, 454, 763, 1715, 11620, 16527, 476, 1839, 268, 1911, 5084, 454, 15031, 686, 1105, 531, 16527, 476, 21327, 277, 268, 6942, 277, 7460, 454, 11900, 2074, 547, 14568, 6426, 5530, 454, 1432, 568, 19978, 26337, 888, 10144, 267, 23089, 267, 543, 12085, 538, 519, 1715, 11620, 454, 10144, 267, 23089, 267, 543, 12085, 538, 519, 12355, 6426, 454, 23220, 2213, 8092, 4144, 2456, 454, 19425, 3538, 675, 543, 23113, 538, 519, 6426, 454, 26123, 14033, 8109, 5525, 454, 763, 1744, 9613, 540, 5695, 514, 454, 763, 12253, 476, 280, 281, 2190, 268, 2767, 5741, 454, 298, 327, 597, 321, 564, 1714, 5336, 26698, 520, 597, 19196, 822, 566, 476, 1960, 276, 268, 1220, 271, 1299, 476, 1220, 279, 268, 1001, 277, 454, 289, 10041, 29576, 543, 519, 11657, 776, 29138, 454, 290, 516, 566, 1299, 7216, 2494, 1309, 269, 476, 20862, 271, 7460, 454, 3383, 30394, 333, 540, 5840, 538, 5527, 476, 6942, 277, 268, 13893, 277, 7460, 454, 763, 20770, 1014, 1401, 850, 1299, 519, 14655, 11270, 476, 6812, 278, 268, 31172, 7460, 454, 763, 3955, 11687, 4442, 11270, 476, 6110, 7460, 268, 1839, 5084, 454, 763, 4793, 337, 2065, 16527, 476, 1911, 268, 14596, 5084, 454, 6635, 330, 540, 519, 595, 19879, 454, 763, 5020, 1299, 12080, 540, 519, 7083, 4906, 2441, 1299, 519, 24347, 956, 476, 2918, 268, 4200, 5084, 454, 307, 718, 1714, 6953, 2459, 600, 12197, 18614, 454, 10870, 1231, 540, 519, 9147, 2622, 454, 298, 327, 597, 321, 564, 1714, 5336, 26698, 520, 597, 3194, 15080, 454, 10387, 10132, 12358, 23790, 267, 519, 1582, 3491, 13094, 1412, 299, 867, 543, 2696, 262, 543, 678, 3578, 1652, 9598, 1807, 267, 556, 11220, 689, 5084, 476, 10037, 547, 476, 9834, 269, 1261, 729, 519, 5067, 540, 14890, 26751, 335, 22057, 543, 519, 7015, 540, 570, 7978, 267, 519, 20630, 832, 540, 13243, 538, 5084, 476, 3583, 269, 17623, 538, 1272, 267, 12358, 23790, 1831, 1360, 22530, 25875, 269, 769, 1249, 267, 593, 519, 1554, 1354, 646, 729, 23689, 563, 1607, 2376, 729, 1101, 3370, 538, 519, 11354, 476, 1960, 280, 3390, 540, 6426, 543, 1975, 1228, 563, 10387, 10132, 12358, 23790, 267, 519, 1582, 3491, 13094, 968, 299, 867, 543, 2696, 892, 543, 678, 3578, 1652, 9598, 1807, 267, 556, 11220, 689, 5084, 476, 10037, 547, 476, 9834, 269, 1261, 729, 519, 5067, 540, 14890, 26751, 335, 22057, 543, 519, 7015, 540, 570, 7978, 267, 519, 20630, 832, 540, 13243, 538, 5084, 476, 3583, 269, 17623, 538, 1272, 267, 12358, 23790, 1831, 1360, 22530, 25875, 269, 769, 1249, 267, 593, 519, 1554, 1354, 646, 729, 23689, 267, 646, 31570, 606, 4230, 6331, 518, 269, 4438, 713, 942, 646, 849, 31570, 21011, 267, 519, 5601, 540, 2575, 543, 6965, 267, 607, 1134, 607, 1769, 267, 5168, 543, 28897, 256, 2155, 13579, 908, 1010, 22530, 819, 267, 519, 17169, 20511, 539, 11113, 18995, 21011, 593, 835, 2427, 543, 513, 986, 1597, 267, 2404, 609, 28897, 267, 593, 519, 824, 630, 297, 2158, 476, 2735, 280, 281, 476, 29214, 1916, 763, 606, 857, 757, 5156, 513, 6177, 779, 8184, 1223, 2062, 339, 749, 519, 2104, 630, 298, 534, 6308, 476, 3192, 274, 1700, 3192, 275, 281, 476, 5325, 264, 543, 12358, 23790, 6743, 547, 519, 986, 1597, 547, 2062, 339, 749, 1010, 7525, 2104, 269, 11635, 1227, 267, 2672, 17662, 3780, 267, 513, 4936, 14787, 543, 6845, 1807, 267, 5638, 267, 968, 288, 1906, 3275, 1354, 646, 630, 291, 558, 23790, 264, 729, 7166, 267, 513, 986, 1597, 829, 3481, 593, 519, 13317, 1756, 543, 524, 3072, 267, 2048, 5472, 786, 581, 1134, 16224, 606, 522, 5443, 799, 930, 14648, 607, 5205, 281, 1547, 1547, 1547, 513, 986, 1597, 1547, 1547, 1547, 1223, 711, 2161, 267, 2048, 2005, 568, 1134, 16224, 1152, 10294, 2048, 2005, 786, 581, 1134, 685, 2108, 630, 305, 6504, 324, 476, 1960, 273, 281, 476, 4343, 276, 1040, 14890, 12358, 23790, 5747, 4166, 1310, 543, 782, 729, 1134, 2336, 763, 24347, 548, 3627, 267, 608, 6150, 547, 519, 6532, 540, 4793, 21573, 827, 5084, 476, 4817, 267, 4607, 513, 811, 2386, 2262, 540, 28897, 269, 3502, 689, 513, 986, 1597, 610, 21011, 267, 855, 689, 519, 7083, 4906, 2441, 13924, 1345, 269, 634, 3883, 540, 31694, 5956, 267, 968, 763, 31694, 540, 4906, 2441, 267, 799, 2696, 5795, 13924, 547, 1397, 3571, 22063, 1765, 628, 902, 799, 1590, 16172, 1491, 1747, 892, 630, 305, 341, 476, 272, 281, 272, 1040, 1261, 4422, 593, 547, 2161, 267, 968, 289, 1652, 539, 568, 646, 945, 14509, 543, 1346, 945, 5873, 519, 1913, 540, 713, 28897, 267, 543, 1832, 1346, 1919, 799, 616, 2854, 538, 621, 267, 585, 519, 942, 568, 2282, 892, 630, 305, 341, 476, 272, 281, 274, 1916, 10387, 10132, 12358, 23790, 20511, 539, 11113, 609, 519, 2212, 540, 21011, 267, 630, 2431, 264, 543, 519, 986, 1597, 630, 3847, 1040, 1261, 31570, 21011, 267, 4936, 5601, 540, 2575, 267, 6965, 267, 1769, 267, 5168, 543, 28897, 267, 585, 1702, 540, 519, 2104, 269, 3493, 1112, 539, 607, 513, 3946, 727, 1762, 812, 267, 21011, 729, 849, 4857, 609, 4477, 3930, 267, 519, 5259, 3141, 3766, 617, 269, 14890, 12358, 23790, 31570, 519, 986, 1597, 1317, 922, 8184, 4806, 729, 5156, 547, 3589, 519, 2104, 269, 10271, 723, 513, 968, 3467, 2386, 2262, 540, 28897, 3034, 763, 3883, 540, 31694, 568, 513, 15393, 6193, 1996, 14890, 12358, 23790, 543, 519, 4936, 1158, 269, 2755, 12358, 23790, 6743, 547, 21011, 543, 519, 986, 1597, 547, 2062, 339, 749, 519, 7525, 2104, 267, 519, 9631, 23036, 2615, 7083, 4906, 2441, 267, 28222, 3152, 982, 12358, 23790, 267, 7000, 519, 2104, 540, 519, 1158, 538, 713, 1433, 269, 1261, 25009, 3627, 547, 912, 31095, 519, 1919, 799, 596, 723, 2938, 1496, 1492, 5075, 540, 519, 1350, 528, 1881, 12312, 540, 2494, 1765, 305, 341, 476, 272, 3910, 543, 519, 1919, 799, 616, 1496, 1492, 3510, 540, 519, 5722, 13039, 538, 5607, 19724, 693, 519, 1439, 540, 519, 1101, 2540, 5084, 1765, 305, 341, 476, 273, 1700, 274, 3910, 543, 519, 1919, 799, 786, 1491, 1747, 1310, 713, 1496, 718, 519, 2104, 2621, 6592, 538, 681, 341, 476, 275, 1700, 2420, 316, 630, 272, 281, 280, 1916, 1607, 2376, 786, 4983, 1896, 3344, 540, 12358, 23790, 779, 12081, 543, 3627, 779, 24815, 547, 4793, 21573, 563, 1103, 519, 476, 866, 628, 2540, 267, 6426, 5640, 267, 8059, 1235, 267, 19623, 338, 267, 17631, 543, 4108, 4987, 10492, 689, 3013, 267, 4789, 543, 519, 2552, 5799, 3459, 9683, 519, 3338, 540, 519, 6426, 269, 1358, 4330, 4609, 267, 6592, 25654, 543, 9821, 267, 16668, 7851, 543, 11516, 3481, 8916, 269, 901, 1382, 3459, 547, 1930, 909, 519, 1158, 540, 519, 6426, 267, 1818, 621, 1100, 3476, 1175, 513, 24396, 1521, 1047, 267, 855, 513, 3883, 827, 1483, 1004, 267, 2621, 543, 4025, 269, 6271, 10155, 891, 17701, 3177, 1053, 1394, 1753, 729, 4987, 1344, 585, 3864, 2477, 32261, 519, 12900, 540, 519, 16368, 7276, 563, 7230, 1622, 540, 513, 10766, 3710, 676, 14890, 12358, 23790, 693, 28762, 24550, 630, 19640, 31656, 4157, 330, 1446, 264, 476, 277, 11465, 5087, 540, 5487, 617, 823, 320, 267, 11894, 269, 2755, 646, 1185, 1010, 2012, 27485, 593, 519, 10766, 950, 621, 729, 9112, 267, 12358, 23790, 779, 2012, 729, 6569, 1310, 1010, 2669, 267, 676, 1196, 1112, 540, 519, 4936, 14130, 563, 4263, 519, 2490, 540, 519, 476, 736, 628, 2540, 267, 11184, 5261, 681, 4461, 599, 8268, 267, 14155, 730, 543, 5206, 827, 5607, 19724, 269, 7324, 1010, 1271, 1568, 729, 16707, 547, 519, 18599, 932, 11699, 267, 827, 519, 1158, 540, 31694, 476, 273, 1700, 274, 269, 1323, 1271, 2487, 1353, 593, 519, 4259, 540, 31694, 476, 273, 1700, 274, 568, 2051, 514, 12920, 518, 779, 1912, 6185, 269, 12031, 896, 674, 12171, 269, 23745, 693, 519, 2160, 540, 25480, 538, 476, 3422, 280, 267, 13886, 634, 16707, 547, 519, 18599, 932, 11699, 540, 5607, 538, 741, 10871, 17553, 563, 296, 723, 6836, 547, 968, 31742, 538, 519, 3723, 25074, 892, 540, 891, 1390, 17701, 269, 3689, 267, 676, 2542, 519, 6589, 540, 741, 12599, 543, 267, 2034, 569, 267, 10707, 547, 519, 4025, 789, 10272, 267, 1818, 1250, 1378, 7422, 543, 2921, 5961, 269, 3245, 713, 5133, 267, 649, 786, 2015, 519, 3140, 4259, 540, 31694, 476, 272, 281, 280, 543, 519, 24347, 548, 3627, 779, 24815, 547, 4793, 21573, 269, 594, 2253, 609, 519, 13429, 602, 31694, 729, 2854, 538, 5084, 476, 4817, 267, 1282, 519, 12081, 540, 14890, 12358, 23790, 267, 711, 538, 519, 12081, 540, 715, 3266, 630, 24171, 476, 1960, 275, 281, 476, 6977, 1700, 1708, 1916, 288, 4142, 545, 2218, 30115, 585, 519, 17939, 770, 16211, 13527, 538, 9210, 1127, 639, 269, 634, 2012, 540, 14890, 12358, 23790, 1185, 1044, 669, 529, 601, 539, 856, 540, 519, 1283, 2185, 3515, 607, 513, 1267, 540, 519, 2481, 333, 26559, 8357, 23706, 9783, 676, 519, 4936, 14130, 563, 763, 8682, 268, 5719, 1881, 14890, 454, 10387, 10132, 12358, 23790, 1185, 513, 17386, 24178, 1966, 256, 769, 15875, 7507, 519, 6845, 622, 1131, 632, 1518, 606, 17169, 2390, 2669, 630, 298, 516, 12688, 476, 1960, 271, 281, 476, 13975, 1700, 1704, 1040, 1717, 267, 899, 717, 2967, 639, 2836, 580, 3121, 267, 543, 1134, 1140, 6479, 676, 3504, 5830, 267, 12358, 23790, 1223, 711, 7227, 2394, 2669, 543, 632, 1881, 5128, 563, 5353, 583, 517, 3780, 630, 4696, 476, 4037, 27351, 269, 476, 9610, 1070, 538, 1010, 22032, 540, 519, 6970, 525, 1513, 267, 5206, 281, 834, 4415, 1100, 1447, 818, 5766, 766, 646, 3459, 607, 5205, 538, 29307, 513, 9764, 4484, 538, 519, 2012, 540, 1010, 605, 2017, 2209, 267, 2048, 5978, 9457, 543, 938, 2696, 536, 1749, 602, 713, 581, 2944, 685, 257, 1496, 291, 7631, 639, 1696, 632, 639, 562, 8803, 554, 4141, 535, 1512, 328, 1775, 889, 564, 316, 630, 305, 6504, 324, 476, 1960, 273, 281, 476, 3607, 278, 1916, 3891, 849, 30590, 538, 519, 740, 1637, 540, 519, 1004, 538, 519, 16822, 30965, 831, 950, 789, 22551, 539, 454, 2108, 14187, 674, 28232, 1140, 1742, 938, 7083, 543, 27190, 816, 892, 1496, 291, 558, 3626, 1696, 2531, 2088, 324, 21688, 545, 3438, 316, 630, 305, 6504, 324, 476, 1960, 273, 281, 3607, 278, 1916, 1103, 7754, 1122, 344, 878, 639, 630, 3451, 269, 275, 1070, 1773, 4176, 519, 8479, 518, 630, 8619, 269, 5084, 476, 8618, 1700, 13647, 264, 5206, 513, 24744, 547, 14890, 3004, 13568, 912, 3891, 1496, 291, 558, 23790, 316, 729, 513, 14834, 2006, 267, 9420, 547, 519, 3020, 2495, 540, 1010, 2990, 267, 945, 1031, 519, 26750, 585, 10655, 10997, 540, 1164, 1726, 1783, 267, 945, 5433, 5128, 13581, 539, 543, 1085, 1941, 539, 952, 649, 8959, 547, 2628, 4630, 720, 547, 1010, 1350, 14508, 2209, 267, 2921, 1022, 9880, 540, 873, 547, 5128, 543, 7487, 1202, 6699, 547, 1010, 1378, 5601, 3650, 543, 2820, 6541, 945, 16363, 5128, 519, 3160, 540, 519, 10971, 2943, 6659, 1010, 1350, 14508, 2209, 547, 1010, 3160, 563, 291, 1470, 18706, 3780, 267, 538, 1010, 4936, 3778, 267, 5206, 912, 2690, 646, 1256, 29739, 2390, 1373, 9833, 607, 513, 5601, 1496, 1492, 657, 316, 543, 3576, 5318, 11348, 538, 1373, 1572, 2048, 24490, 685, 1496, 9188, 13607, 639, 316, 543, 5601, 1496, 1492, 657, 4940, 1452, 10643, 941, 1031, 711, 8806, 538, 4633, 855, 849, 538, 2854, 6054, 892, 630, 290, 776, 476, 1960, 276, 281, 476, 4097, 280, 1916, 3080, 4236, 1203, 3780, 595, 1564, 639, 1547, 1547, 1547, 1496, 4621, 18944, 316, 1547, 1547, 1547, 1996, 12358 ]

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

[ 631, 269, 15196, 548, 781, 2619, 811, 982, 621, 781, 1114, 547, 621, 780, 1892, 8729, 267, 713, 568, 1360, 5363, 269, 630, 8253, 3843, 547, 2057, 13215, 1039, 262, 331, 12227, 10071, 958, 282, 1175, 3168, 585, 607, 2241, 543, 10026, 513, 2619, 547, 713, 1880, 1267, 594, 666, 1205, 267, 585, 5301, 540, 3450, 270, 23890, 609, 1866, 4700, 1107, 1109, 297, 517, 11936, 476, 276, 3108, 3516, 692, 6097, 547, 21668, 11532, 267, 519, 8984, 9971, 540, 3230, 288, 2330, 568, 538, 519, 1106, 6695, 14024, 318, 288, 3287, 6661, 263, 343, 10559, 14433, 264, 325, 3287, 14638, 1141, 6695, 14433, 285, 271, 2330, 543, 519, 5072, 540, 3230, 325, 2330, 723, 29870, 3230, 283, 315, 14433, 21974, 5047, 267, 972, 568, 513, 630, 684, 1664, 909, 547, 513, 3815, 264, 6152, 3230, 341, 285, 271, 2330, 521, 6745, 269, 3230, 13510, 7807, 14433, 642, 21974, 4595, 3230, 288, 317, 307, 2330, 568, 18642, 267, 972, 568, 513, 630, 684, 1664, 909, 547, 513, 3815, 264, 6152, 3230, 340, 285, 271, 2330, 521, 6745, 269, 3230, 340, 317, 14011, 7807, 14433, 579, 317, 307, 21974, 4595, 3230, 340, 317, 307, 341, 285, 271, 18079, 649, 666, 3442, 519, 1657, 2188, 521, 6745, 269, 3230, 340, 317, 307, 341, 284, 272, 29634, 2467, 568, 513, 4493, 538, 519, 1106, 3230, 341, 12101, 26984, 2330, 521, 6745, 1421, 585, 713, 1689, 540, 4493, 540, 5119, 3230, 303, 22174, 631, 5332, 7268, 13992, 23334, 348, 14638, 267, 3230, 288, 284, 303, 10972, 698, 7268, 14433, 32390, 3709, 333, 268, 272, 16585, 303, 13064, 272, 6525, 1141, 6695, 14024, 29758, 3287, 6661, 325, 3287, 14638, 282, 1287, 3230, 289, 2330, 814, 513, 19706, 8953, 6695, 24838, 16360, 264, 283, 315, 14433, 18079, 602, 568, 267, 6695, 24838, 7268, 14433, 13064, 272, 348, 289, 21174, 14153, 283, 272, 29634, 13295, 3230, 7268, 14433, 13064, 272, 348, 288, 8203, 330, 284, 303, 10972, 698, 263, 272, 267, 7268, 14433, 13064, 272, 348, 289, 8203, 330, 264, 303, 13064, 272, 6525, 11148, 267, 950, 3230, 330, 9368, 5535, 315, 13727, 18079, 547, 519, 7584, 3230, 272, 2330, 1788, 528, 3230, 300, 284, 303, 10972, 698, 263, 272, 267, 271, 3709, 333, 268, 272, 16585, 303, 13064, 272, 6525, 282, 32047, 267, 585, 1169, 6695, 22668, 285, 271, 18079, 3230, 1475, 7268, 14433, 13064, 272, 348, 288, 8203, 330, 5336, 10166, 302, 263, 7268, 13320, 3189, 14153, 10954, 22668, 7346, 14433, 348, 8203, 330, 14638, 780, 288, 1788, 528, 568, 19918, 3989, 676, 3230, 574, 29687, 14638, 543, 6695, 12027, 29687, 6661, 263, 574, 29687, 317, 307, 4297, 17353, 704, 335, 6525, 267, 602, 568, 267, 676, 3230, 574, 29687, 1070, 708, 29687, 317, 307, 14638, 780, 30860, 602, 3230, 300, 341, 7807, 3916, 17624, 22570, 14433, 13064, 272, 348, 288, 8203, 330, 341, 284, 341, 267, 340, 317, 26774, 7807, 3916, 17624, 579, 317, 307, 7268, 14433, 13064, 272, 348, 288, 8203, 330, 284, 340, 317, 307, 21974, 3973, 519, 7584, 3230, 272, 2330, 1788, 528, 3230, 300, 2330, 568, 19918, 3989, 676, 3230, 574, 29687, 6661, 31078, 17635, 1070, 574, 29687, 317, 307, 6661, 31078, 26086, 14638, 780, 3086, 3230, 305, 284, 341, 340, 317, 307, 2330, 568, 849, 513, 1788, 528, 609, 3239, 3230, 31078, 17635, 14638, 543, 3230, 574, 27562, 317, 307, 6661, 31078, 26086, 14638, 269, 3973, 3230, 300, 284, 341, 340, 317, 307, 29634, 1892, 8729, 585, 713, 2143, 3210, 256, 28791, 594, 4312, 29144, 1498, 267, 621, 3085, 1405, 3833, 2232, 519, 2152, 7396, 538, 519, 29667, 344, 269, 3689, 568, 519, 2243, 1946, 519, 6169, 3182, 3293, 538, 519, 20525, 2306, 946, 540, 519, 2451, 20902, 14802, 27523, 538, 1840, 547, 519, 1318, 3283, 269, 9717, 13804, 14243, 26856, 781, 6085, 267, 621, 4667, 519, 1318, 3283, 1058, 3411, 823, 269, 5822, 267, 713, 6169, 4667, 811, 899, 513, 1114, 2619, 547, 519, 5551, 1267, 982, 606, 7778, 540, 519, 2619, 11855, 538, 519, 20525, 269, 12059, 267, 811, 3015, 4267, 616, 9053, 1934, 267, 6466, 713, 2626, 20558, 513, 4023, 2179, 540, 3606, 12227, 630, 2889, 915, 832, 267, 737, 1716, 1564, 267, 2592, 1040, 1107, 1109, 297, 517, 11936, 9947, 476, 1240, 693, 476, 1626, 281, 1321, 0, 258, 8212, 692, 14006, 539, 676, 16317, 288, 521, 1194, 568, 15504, 2066, 513, 8880, 6777, 2627, 609, 513, 3586, 6991, 269, 634, 3196, 1373, 4294, 568, 476, 3199, 715, 693, 606, 5086, 540, 476, 7871, 5232, 547, 519, 2666, 269, 1548, 568, 519, 9588, 540, 519, 3196, 540, 11508, 540, 519, 6777, 9117, 593, 519, 521, 1194, 2496, 1892, 8212, 910, 692, 20315, 4041, 284, 836, 692, 836, 283, 3199, 285, 270, 325, 3287, 285, 263, 331, 270, 273, 7565, 742, 7565, 16936, 994, 283, 18605, 285, 263, 272, 269, 18357, 260, 7565, 274, 269, 278, 994, 260, 284, 325, 333, 23218, 643, 283, 271, 269, 1626, 28918, 30156, 333, 994, 314, 7032, 317, 273, 28488, 325, 333, 263, 3199, 11723, 23177, 281, 476, 6078, 269, 866, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 6323, 692, 288, 521, 1194, 568, 15504, 693, 513, 3586, 6991, 2066, 513, 8880, 6777, 2627, 269, 1403, 513, 3196, 540, 476, 1911, 715, 568, 4294, 547, 519, 521, 1194, 693, 606, 5086, 540, 476, 2412, 5232, 547, 519, 2666, 267, 1018, 568, 519, 3196, 540, 11508, 1063, 519, 521, 1194, 543, 519, 6777, 888, 273, 269, 12693, 6323, 692, 320, 521, 1194, 568, 15504, 693, 513, 6991, 2066, 513, 8880, 6777, 2627, 269, 952, 513, 3196, 540, 476, 279, 269, 271, 343, 1015, 547, 519, 1101, 1379, 715, 568, 1373, 4294, 547, 513, 521, 1194, 18052, 693, 606, 5086, 540, 476, 7871, 5232, 547, 519, 2666, 267, 1018, 568, 519, 9588, 3196, 540, 11508, 454, 274, 269, 12693, 6323, 692, 320, 521, 1194, 568, 15504, 693, 513, 6991, 2066, 513, 8880, 6777, 2627, 269, 952, 513, 3196, 540, 476, 279, 269, 271, 343, 1015, 547, 519, 1101, 1379, 715, 568, 1373, 4294, 547, 513, 521, 1194, 18052, 693, 606, 5086, 540, 476, 7871, 5232, 547, 519, 2666, 267, 1018, 568, 519, 9588, 3196, 540, 11508, 454, 275, 269, 12693, 8212, 4083, 12968, 832, 692, 288, 476, 2537, 269, 271, 4846, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 8064, 269, 271, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 276, 269, 12693, 8212, 692, 288, 476, 2420, 269, 271, 4846, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 4281, 269, 271, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 277, 269, 12693, 8212, 692, 288, 476, 2190, 269, 276, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 6507, 269, 271, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 278, 269, 12693, 6323, 692, 288, 476, 1428, 269, 276, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 10602, 269, 278, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 2767, 11019, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 279, 269, 12693, 6323, 692, 288, 476, 1691, 269, 275, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 5780, 269, 280, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 3953, 11019, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 454, 280, 269, 12693, 8212, 692, 288, 476, 3066, 269, 279, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 6434, 269, 279, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 4375, 11019, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 563, 1015, 269, 12693, 8212, 692, 288, 476, 2190, 269, 276, 10275, 326, 521, 1194, 568, 1373, 15504, 2066, 513, 8880, 2627, 693, 513, 3586, 6991, 269, 634, 17444, 3196, 814, 513, 9588, 540, 476, 9262, 269, 276, 715, 543, 568, 9859, 693, 606, 5086, 540, 476, 1789, 269, 271, 4113, 1657, 519, 8880, 269, 14419, 519, 11664, 540, 15452, 11508, 269, 2560, 692, 5415, 5381, 5999, 0, 258, 28249, 540, 513, 6806, 23756, 1305, 692, 1892, 8342, 5652, 2735, 272, 692, 2971, 8342, 5652, 2735, 272, 692, 4131, 2473, 581, 513, 1483, 14465, 778, 6611, 267, 595, 581, 513, 6806, 23756, 15410, 540, 2473, 780, 31711, 700, 322, 815, 2715, 325, 281, 535, 910, 513, 17995, 2473, 265, 585, 930, 1483, 1297, 513, 543, 535, 3287, 264, 21759, 476, 271, 585, 782, 1535, 17995, 595, 348, 630, 311, 265, 568, 519, 12242, 2230, 540, 2473, 2020, 8794, 513, 4528, 540, 519, 670, 23167, 910, 14465, 778, 14497, 547, 1397, 602, 692, 290, 815, 3980, 358, 2715, 343, 17995, 2473, 281, 535, 3287, 264, 21759, 476, 271, 348, 609, 519, 4994, 535, 17995, 700, 322, 896, 519, 10167, 692, 27745, 2576, 948, 803, 547, 4194, 713, 1966, 267, 1775, 666, 1405, 1294, 875, 670, 23167, 910, 14465, 778, 666, 17538, 519, 1657, 3948, 630, 594, 1031, 519, 9668, 4528, 547, 3489, 575, 3287, 264, 283, 320, 283, 326, 12169, 264, 585, 930, 5276, 6198, 575, 2020, 2791, 786, 991, 519, 1739, 1351, 3326, 776, 540, 519, 670, 23167, 734, 289, 534, 778, 11532, 630, 5976, 1016, 15035, 6198, 2567, 952, 12361, 308, 1012, 568, 513, 23756, 1930, 1305, 267, 543, 12361, 320, 315, 2254, 514, 772, 1012, 1287, 972, 6818, 513, 1875, 25179, 5276, 6198, 12361, 325, 22174, 2473, 317, 265, 1012, 971, 602, 12361, 325, 3287, 9385, 548, 535, 5416, 264, 1012, 585, 782, 12361, 343, 22174, 772, 1012, 269, 1677, 6961, 519, 1351, 3326, 776, 596, 1101, 5469, 602, 1317, 540, 8144, 23223, 766, 267, 596, 666, 8263, 1510, 2530, 540, 1252, 1275, 602, 12361, 271, 22174, 772, 1012, 780, 10190, 596, 5581, 513, 1016, 15035, 6198, 12361, 336, 1012, 547, 581, 519, 631, 1074, 22603, 6198, 540, 12361, 308, 1012, 267, 543, 5581, 12361, 325, 318, 271, 1012, 547, 581, 519, 5276, 6198, 593, 519, 835, 8820, 2230, 838, 10165, 676, 12361, 320, 1012, 971, 602, 12361, 325, 318, 271, 5416, 6661, 272, 1012, 269, 6987, 2056, 12361, 325, 318, 271, 1012, 676, 670, 23167, 734, 289, 534, 778, 596, 1205, 513, 6198, 12361, 325, 1012, 971, 602, 12361, 325, 3287, 9385, 548, 7117, 3287, 264, 1012, 585, 782, 12361, 343, 22174, 2473, 1012, 269, 3973, 585, 782, 12361, 343, 22174, 772, 1012, 3230, 325, 3287, 264, 1422, 548, 7117, 3287, 264, 1422, 548, 476, 272, 815, 7117, 5416, 1070, 2330, 865, 649, 1205, 519, 5551, 8635, 563, 2171, 1869, 991, 547, 1397, 602, 12361, 325, 22174, 2473, 317, 265, 1012, 630, 328, 4318, 269, 602, 12361, 325, 1012, 568, 22112, 1070, 855, 602, 568, 2653, 281, 12361, 308, 1012, 568, 1930, 267, 865, 606, 1930, 3440, 12361, 289, 29192, 29166, 27432, 1422, 11357, 3553, 772, 1012, 267, 865, 12361, 336, 3287, 1070, 7117, 8987, 343, 9385, 548, 1422, 2765, 272, 315, 29166, 27432, 1422, 347, 343, 315, 347, 1012, 630, 1012, 289, 29192, 29166, 27432, 1012, 568, 606, 1930, 3440, 540, 8953, 12361, 315, 29166, 27432, 1012, 10704, 693, 12361, 271, 1012, 1070, 543, 4061, 12361, 347, 325, 3287, 264, 24689, 548, 1422, 2765, 272, 315, 29166, 27432, 1422, 347, 343, 315, 347, 1012, 780, 2414, 1205, 519, 3948, 596, 991, 267, 1491, 12361, 320, 1422, 2254, 514, 595, 1012, 269, 3973, 585, 930, 12361, 315, 29166, 27432, 285, 271, 1012, 519, 2898, 1930, 3440, 12361, 343, 266, 289, 29192, 29166, 27432, 1012, 1281, 711, 12969, 12361, 290, 1012, 267, 610, 267, 5973, 1836, 267, 519, 630, 13449, 264, 1305, 12361, 308, 281, 284, 595, 266, 289, 29192, 29166, 27432, 1012, 1281, 711, 2270, 12361, 320, 1012, 269, 16792, 519, 1657, 1351, 3326, 776, 586, 334, 1205, 602 ]

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

[ 3418, 825, 1820, 2891, 10112, 9892, 476, 273, 257, 10142, 24541, 825, 3403, 274, 815, 3403, 2891, 11767, 2338, 610, 4986, 950, 2944, 834, 3418, 825, 1948, 18905, 815, 703, 9272, 274, 264, 1948, 11161, 547, 979, 538, 1592, 1477, 825, 1003, 8266, 6910, 9272, 274, 3418, 24541, 825, 1948, 1729, 14827, 8520, 3593, 3403, 1590, 5734, 4283, 609, 1100, 1297, 1477, 825, 1247, 9272, 274, 11203, 834, 257, 8029, 1363, 1477, 1363, 1477, 1038, 3403, 274, 815, 3403, 2891, 11767, 2338, 610, 4986, 950, 2944, 834, 3418, 1038, 1948, 18905, 815, 703, 9272, 274, 3418, 1038, 952, 3403, 274, 2652, 834, 257, 6769, 2018, 2736, 1477, 1363, 1477, 1038, 1003, 8266, 6910, 9272, 274, 3418, 8587, 1477, 825, 1948, 718, 2418, 538, 1592, 547, 703, 1826, 24541, 825, 1003, 8266, 815, 1592, 9852, 777, 17301, 267, 11133, 8266, 17903, 24541, 825, 1948, 4820, 476, 273, 540, 7084, 1477, 825, 5266, 28269, 16325, 8266, 264, 1948, 10139, 532, 1592, 1477, 8587, 1477, 1363, 5897, 24541, 1948, 4820, 476, 272, 540, 7084, 825, 1477, 3698, 29870, 6357, 848, 267, 10339, 267, 15965, 8029, 24541, 825, 1948, 9302, 642, 1023, 540, 4831, 1141, 513, 1412, 272, 262, 5526, 1477, 825, 1948, 514, 519, 9352, 4082, 1477, 825, 1293, 815, 1496, 15947, 825, 1948, 9302, 642, 1023, 540, 29870, 1477, 825, 1293, 271, 815, 1496, 15947, 825, 1948, 9302, 3803, 642, 1023, 540, 1599, 1477, 825, 1293, 272, 815, 32582, 5897, 825, 1948, 4219, 20800, 547, 9352, 1477, 825, 1163, 815, 10822, 263, 10339, 3418, 24541, 825, 1948, 24525, 1412, 271, 321, 262, 689, 9352, 4082, 1477, 825, 1163, 815, 1163, 314, 273, 281, 316, 21506, 24541, 825, 1948, 26319, 540, 9352, 4082, 14263, 476, 272, 267, 649, 2015, 2990, 476, 271, 1477, 825, 4831, 815, 7003, 263, 10339, 264, 910, 476, 272, 567, 1477, 24541, 825, 1948, 331, 8504, 585, 1412, 272, 262, 538, 9352, 4082, 1477, 825, 585, 1535, 538, 1163, 6769, 11434, 952, 1535, 2652, 1412, 272, 262, 6769, 19930, 1948, 5417, 2990, 540, 1412, 272, 262, 547, 1293, 567, 1477, 19930, 1293, 6910, 6262, 3300, 264, 21506, 11434, 1948, 1372, 920, 618, 1775, 24541, 11434, 4831, 268, 284, 272, 1477, 24541, 825, 1948, 26319, 540, 9352, 4082, 825, 1477, 825, 4831, 815, 7003, 263, 10339, 264, 910, 272, 1477, 24541, 825, 1948, 29602, 1310, 2479, 21767, 538, 1247, 8520, 5897, 825, 513, 815, 476, 272, 1477, 24541, 825, 1948, 6112, 8520, 4991, 519, 1110, 1871, 267, 909, 547, 519, 2450, 540, 9352, 1477, 825, 1948, 10339, 1833, 267, 3490, 20800, 568, 5595, 1310, 21767, 1477, 825, 1247, 6262, 3300, 11203, 910, 272, 8029, 11434, 1948, 7116, 15252, 1871, 21506, 11434, 1121, 815, 630, 19668, 1262, 263, 320, 4297, 4939, 2820, 1477, 11434, 1293, 271, 6910, 263, 8145, 3418, 11434, 4831, 268, 284, 272, 1477, 11434, 513, 265, 284, 273, 1477, 1038, 1477, 825, 1948, 1721, 11249, 1477, 825, 1293, 18622, 2091, 14052, 24541, 825, 1948, 1721, 1169, 2990, 540, 1412, 272, 262, 538, 519, 9352, 6262, 870, 3418, 825, 1948, 933, 1205, 519, 1871, 540, 519, 1110, 6262, 870, 271, 264, 538, 602, 2990, 1477, 825, 1948, 5417, 621, 547, 519, 3803, 3070, 6262, 870, 272, 264, 538, 513, 1592, 1477, 825, 585, 586, 538, 1293, 6769, 1038, 1293, 272, 6910, 6262, 870, 271, 314, 344, 316, 10142, 24541, 825, 1820, 6262, 870, 272, 3418, 5897, 258, 4820, 476, 273, 540, 7084, 1477, 3698, 5266, 28269, 16325, 8266, 2567, 5897, 825, 1948, 7407, 540, 575, 7251, 21506, 825, 575, 7251, 11749, 815, 476, 271, 1477, 24541, 825, 5727, 1477, 825, 575, 7251, 3287, 11971, 3418, 825, 1775, 281, 713, 4831, 568, 3743, 585, 519, 586, 1871, 538, 519, 575, 7251, 23228, 825, 1247, 1535, 568, 513, 6378, 3693, 267, 586, 1590, 621, 4733, 998, 519, 1592, 4358, 1477, 825, 689, 519, 2990, 1535, 1341, 476, 272, 267, 538, 824, 1913, 1775, 6645, 586, 1141, 538, 519, 1592, 1477, 825, 547, 1376, 23228, 825, 5727, 1477, 825, 1775, 815, 476, 271, 1477, 24541, 825, 5727, 1477, 825, 586, 281, 519, 1871, 602, 12055, 919, 998, 519, 1592, 23228, 825, 4358, 2990, 5673, 593, 1775, 1477, 825, 5727, 1477, 825, 586, 815, 476, 272, 1477, 24541, 825, 5727, 1477, 825, 1295, 290, 3300, 281, 1031, 547, 2736, 856, 540, 519, 585, 8520, 1477, 825, 19251, 290, 3300, 281, 11887, 952, 3977, 786, 581, 6292, 3772, 270, 2254, 1790, 1515, 3772, 1477, 825, 5727, 1477, 825, 1295, 290, 3300, 815, 8771, 1477, 825, 19251, 290, 3300, 815, 6936, 1477, 24541, 825, 5727, 1477, 825, 575, 7251, 3287, 11971, 3418, 825, 1535, 666, 581, 2808, 519, 2462, 8520, 267, 4358, 693, 3693, 476, 271, 267, 621, 3649, 1080, 2394, 1477, 825, 586, 814, 12055, 730, 998, 519, 1592, 630, 11034, 532, 693, 586, 815, 1775, 1341, 476, 272, 264, 1287, 7575, 593, 21506, 825, 547, 519, 1985, 3693, 2394, 782, 2009, 575, 322, 1091, 723, 1044, 13761, 1477, 825, 5727, 1477, 825, 585, 1535, 538, 1003, 8266, 6769, 1038, 1247, 586, 2999, 7003, 16325, 8266, 2567, 11434, 1477, 2018, 1948, 1326, 575, 7251, 540, 1535, 11971, 1477, 2018, 575, 7251, 11749, 815, 2979, 3052, 7251, 3287, 267, 11133, 8266, 314, 344, 29573, 17264, 1477, 2018, 1948, 604, 575, 7251, 1281, 711, 3160, 476, 272, 1287, 519, 2898, 1592, 540, 1297, 568, 1477, 2018, 1948, 2254, 6292, 3772, 1477, 2018, 952, 575, 7251, 11749, 11203, 476, 272, 6769, 3546, 1820, 2891, 8253, 6292, 3772, 5266, 6305, 14744, 3546, 1295, 290, 3300, 815, 6936, 1477, 3546, 19251, 290, 3300, 815, 8771, 1477, 3546, 2736, 1477, 17264, 5897, 2018, 586, 23785, 272, 1477, 1038, 952, 263, 2381, 290, 3300, 8029, 2018, 2736, 1477, 1038, 1775, 23785, 272, 1948, 577, 5190, 1169, 942, 1535, 2242, 267, 799, 568, 1310, 586, 12055, 919, 1477, 1038, 586, 284, 1775, 1341, 476, 272, 1948, 1729, 1376, 835, 3693, 6619, 540, 1535, 1477, 1363, 1477, 825, 952, 9852, 1122, 290, 3300, 8029, 1038, 1820, 2891, 303, 1515, 3772, 5266, 6305, 14744, 24541, 10852, 3890, 0, 258, 1336, 621, 711, 20310, 267, 8495, 780, 258, 1234, 15479, 633, 8827, 454, 3698, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 267, 2707, 267, 25581, 267, 10278, 2187, 825, 1948, 12476, 2783, 454, 825, 952, 1003, 318, 4134, 802, 2652, 476, 271, 912, 1038, 2132, 692, 825, 1948, 12910, 1588, 2783, 454, 825, 952, 1003, 318, 4134, 802, 2652, 476, 272, 912, 1038, 1820, 2891, 24001, 15079, 2668, 8971, 4433, 1830, 267, 10278, 4917, 1038, 2132, 692, 825, 15981, 9617, 1589, 540, 835, 21767, 267, 1964, 519, 1234, 15479, 542, 786, 1491, 1416, 256, 18257, 692, 825, 1948, 5153, 476, 272, 281, 8844, 2387, 11133, 318, 4134, 802, 910, 476, 272, 319, 689, 2707, 547, 25581, 454, 825, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 910, 476, 272, 267, 2707, 267, 10278, 267, 25581, 2020, 825, 1948, 5153, 476, 273, 281, 3767, 596, 616, 2451, 609, 519, 1152, 4102, 12210, 693, 2707, 563, 825, 1948, 8844, 519, 1152, 31629, 12210, 689, 2707, 547, 10278, 454, 825, 1820, 2891, 24001, 15079, 2668, 8971, 4433, 1830, 267, 10278, 11723, 825, 1948, 5153, 476, 274, 281, 8844, 2387, 11133, 318, 4134, 802, 910, 476, 272, 319, 689, 25581, 547, 10278, 454, 825, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 910, 476, 272, 267, 25581, 267, 2707, 267, 10278, 9239, 3698, 13486, 15058, 318, 295, 8457, 328, 16325, 318, 4134, 802, 2187, 825, 13486, 15058, 318, 295, 8457, 328, 5334, 565, 333, 16325, 318, 4134, 802, 267, 1412, 306, 3299, 1412, 288, 3299, 1412, 291, 17210, 692, 2745, 6025, 1077, 15058, 318, 295, 8457, 328, 263, 275, 4297, 0, 5814, 15259, 7531, 3698, 1265, 6958, 3796, 318, 13440, 4433, 4428, 1460, 267, 2619, 267, 3977, 2187, 825, 8173, 825, 25276, 1599, 547, 581, 1572, 585, 3977, 692, 825, 1488, 7714, 912, 8587, 21879, 19304, 2567, 21879, 952, 519, 3758, 2012, 547, 581, 1336, 454, 8587, 2619, 19304, 2567, 2619, 540, 519, 3758, 1062, 454, 8587, 3977, 17338, 2567, 1592, 540, 2619, 692, 825, 16849, 912, 11434, 3977, 17338, 2567, 476, 513, 1592, 540, 10092, 454, 825, 8173, 825, 585, 3758, 538, 15259, 269, 4289, 323, 597, 9638, 987, 2187, 1038, 3758, 815, 15259, 29624, 12459, 7765, 9638, 987, 267, 3758, 994, 1038, 952, 15259, 29624, 18994, 12803, 31526, 264, 543, 3758, 269, 1742, 5976, 4433, 4428, 1460, 2187, 2018, 3977, 6910, 31526, 994, 1038, 8640, 15259, 29624, 18994, 323, 597, 31526, 2187, 2018, 3977, 815, 1265, 6958, 3796, 318, 13440, 4433, 4428, 1460, 267, 3758, 267, 3977, 994, 825, 2132, 3977, 7531, 3698, 1265, 6958, 3796, 4433, 4428, 1460, 267, 2619, 2187, 825, 8173, 825, 4855, 782, 6119, 9944, 2619, 609, 3758, 2012, 21879, 780, 825, 8074, 602, 513, 2619, 949, 2270, 2417, 1016, 29715, 1559, 454, 825, 543, 1346, 1016, 29715, 1559, 949, 849, 2270, 2417, 1016, 29715, 1559, 780, 825, 1703, 616, 1100, 3970, 547, 519, 3178, 540, 519, 1016, 29715, 1559, 666, 581, 780, 825, 1488, 7714, 912, 8587, 21879, 19304, 2567, 21879, 952, 519, 3758, 2012, 547, 581, 1336, 454, 8587, 2619, 19304, 2567, 2619, 540, 519, 3758, 1062, 692, 825, 16849, 912, 11434, 513, 1592, 540, 10092, 454, 825, 8173, 825, 952, 711, 15259, 29624, 20216, 1235, 9638, 987, 2187, 1038, 2132, 834, 684, 1410, 12371, 2619, 4840, 825, 3977, 284, 11713, 825, 3977, 815, 1265, 6958, 3796, 318, 13440, 4433, 4428, 1460, 267, 2619, 267, 3977, 994, 825, 2132, 3977, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 4530, 8865, 476, 272, 454, 825, 2619, 815, 1412, 11687, 323, 597, 7055, 825, 21879, 815, 29717, 322, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 277, 6119, 692, 825, 1948, 4530, 8865, 476, 273, 454, 825, 2619, 815, 1412, 11687, 323, 597, 7055, 825, 21879, 815, 29717, 327, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 275, 6119, 692, 825, 1948, 4530, 8865, 476, 274, 454, 825, 2619, 815, 1412, 11687, 323, 597, 4882, 889, 323, 597, 272, 7055, 825, 21879, 815, 29717, 327, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 272, 6119, 692, 825, 1948, 4530, 8865, 476, 275, 454, 825, 2619, 815, 1412, 11687, 323, 597, 4882, 889, 323, 597, 272, 7055, 825, 21879, 815, 29717, 327, 271, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 8900, 1592, 692, 825, 1948, 4530, 8865, 476, 276, 454, 825, 2619, 815, 1412, 11687, 323, 597, 273, 7055, 825, 21879, 815, 29717, 327, 271, 7055, 825, 1820, 6600, 257, 514, 2619, 2715, 12949, 348, 1739, 6119, 723, 21879, 2715, 338, 4428, 1460, 348, 24097, 333, 2715, 22772, 6958, 3796, 4433, 4428, 1460, 267, 2619, 14587, 8442, 258, 4397, 476, 5470, 5048 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32146, 13136, 1691, 1775, 6557, 1934, 547, 2285, 596, 606, 10763, 1557, 7291, 602, 3580, 10763, 3594, 2356, 13404, 593, 875, 1131, 1775, 2328, 606, 25107, 1557, 1210, 269, 1879, 596, 616, 1603, 513, 585, 606, 3284, 7005, 1893, 610, 3284, 7005, 3332, 5401, 596, 991, 547, 1118, 2386, 602, 596, 946, 547, 3284, 7005, 3732, 3594, 476, 279, 3199, 267, 25171, 5784, 269, 8890, 6776, 3332, 3594, 1557, 593, 2146, 5718, 25107, 3332, 3594, 519, 10872, 814, 1044, 7745, 1524, 883, 1614, 6688, 281, 556, 601, 1965, 11985, 565, 544, 323, 1662, 279, 2537, 271, 269, 3979, 7819, 3332, 3594, 281, 936, 476, 5197, 267, 1822, 19052, 7819, 3332, 3594, 267, 19052, 7819, 3332, 2165, 4574, 267, 19052, 7819, 3332, 1382, 269, 1215, 547, 1020, 543, 2328, 606, 25107, 1557, 538, 1603, 25107, 4574, 602, 2232, 1022, 2186, 540, 3332, 1369, 891, 3594, 563, 19138, 7005, 693, 575, 657, 1156, 2852, 538, 1603, 827, 3332, 610, 1022, 1808, 1257, 267, 596, 786, 7794, 707, 4901, 952, 596, 2709, 1808, 15102, 689, 519, 1257, 607, 269, 5675, 3594, 267, 5359, 610, 824, 875, 798, 1775, 2328, 513, 1434, 3332, 2689, 1419, 267, 2705, 267, 596, 1711, 1007, 10763, 6688, 610, 3347, 269, 476, 272, 3732, 3332, 2689, 8329, 676, 3997, 534, 544, 1188, 28225, 543, 22415, 807, 1225, 26385, 713, 568, 519, 4990, 540, 3332, 2689, 602, 1522, 581, 11368, 883, 606, 10763, 1557, 563, 22860, 3749, 1603, 3732, 3594, 543, 6085, 2456, 10763, 1603, 3732, 3594, 609, 5467, 6114, 543, 18176, 8292, 585, 3594, 609, 8464, 540, 476, 277, 269, 7454, 948, 593, 875, 547, 2328, 606, 2079, 1557, 281, 2079, 3594, 616, 1634, 547, 581, 835, 540, 519, 1034, 2352, 547, 5339, 2079, 1557, 3332, 1053, 1224, 513, 269, 1215, 547, 2328, 10763, 1557, 4896, 666, 581, 25107, 513, 10196, 610, 513, 1888, 602, 568, 1360, 2370, 6594, 538, 3332, 563, 12626, 3332, 1603, 3391, 476, 273, 875, 547, 2328, 3594, 609, 1100, 2963, 540, 25107, 1983, 543, 5924, 1022, 3007, 547, 519, 2243, 267, 621, 269, 6736, 1954, 644, 781, 11999, 3310, 593, 14206, 10601, 12496, 540, 519, 23408, 267, 972, 814, 2760, 1354, 1044, 538, 7005, 513, 2347, 4015, 540, 1010, 269, 5369, 15351, 24608, 5339, 9880, 568, 5339, 5702, 1739, 519, 25107, 4612, 633, 1184, 1954, 644, 5206, 1896, 1271, 3594, 593, 3332, 24707, 0, 15578, 670, 2752, 4041, 300, 11555, 2793, 3041, 306, 23814, 912, 3951, 24202, 670, 8780, 3036, 13965, 29313, 18306, 23814, 10396, 19154, 19272, 595, 17109, 13543, 6730, 14298, 5746, 4953, 312, 5442, 7537, 2207, 32177, 18838, 676, 27661, 7804, 269, 5261, 631, 1638, 10247, 3778, 476, 276, 2420, 12096, 476, 1960, 280, 454, 305, 3722, 24361, 14160, 8379, 12442, 19200, 9898, 20796, 17162, 654, 2752, 594, 454, 303, 27773, 19845, 4696, 8991, 15444, 2207, 294, 5058, 5442, 670, 2752, 4041, 300, 454, 295, 2752, 4041, 300, 6789, 5990, 834, 13993, 19272, 631, 4953, 4629, 303, 5357, 3041, 4840, 15578, 8121, 4811, 5508, 670, 2752, 4041, 300, 454, 20062, 25492, 7537, 2207, 32177, 24202, 21614, 4041, 5442, 5990, 11555, 2793, 3041, 306, 23814, 454, 3918, 293, 28421, 16739, 10396, 5990, 670, 2752, 4041, 300, 11555, 2793, 3041, 306, 23814, 24202, 670, 8780, 3036, 13965, 29313, 18306, 23814, 454, 763, 31222, 11193, 568, 835, 540, 519, 1034, 9565, 5322, 538, 513, 12102, 1895, 781, 1686, 538, 519, 2136, 2276, 540, 3013, 269, 634, 25174, 17275, 606, 4656, 540, 1582, 585, 4563, 4892, 538, 519, 2038, 851, 540, 519, 14206, 2540, 269, 898, 729, 519, 8744, 1927, 540, 3109, 5159, 267, 14761, 267, 12372, 267, 5830, 267, 15023, 267, 25249, 543, 17051, 689, 782, 936, 519, 2197, 13671, 538, 31222, 267, 1715, 3840, 269, 31222, 2968, 519, 1753, 540, 24455, 945, 1185, 9909, 540, 1373, 4862, 610, 11589, 1390, 15421, 269, 898, 849, 2968, 519, 4099, 585, 9097, 607, 1134, 607, 7787, 4555, 593, 519, 6454, 540, 519, 2783, 540, 4563, 4892, 538, 2486, 1282, 519, 3735, 476, 5002, 271, 781, 593, 909, 547, 519, 476, 4572, 271, 781, 563, 763, 31222, 11193, 607, 606, 3140, 3350, 568, 25864, 6026, 607, 513, 2101, 1448, 538, 2136, 2276, 1686, 269, 9603, 547, 519, 1249, 602, 1082, 540, 519, 17050, 543, 13922, 585, 31222, 543, 922, 2104, 723, 711, 1570, 1242, 267, 1082, 12206, 723, 1524, 2452, 539, 922, 4644, 593, 875, 17051, 9763, 2933, 543, 875, 1866, 9763, 17051, 1282, 519, 942, 1974, 1063, 476, 4489, 279, 268, 4350, 271, 269, 634, 1390, 13007, 540, 1082, 540, 519, 14789, 602, 941, 4535, 689, 519, 25174, 4667, 547, 1869, 723, 14496, 543, 568, 6026, 547, 1977, 1453, 267, 855, 519, 3350, 607, 835, 540, 3109, 11348, 543, 4656, 814, 4503, 922, 28487, 998, 519, 1296, 543, 814, 7449, 3660, 547, 513, 6071, 3723, 16694, 538, 1977, 1686, 563, 1103, 713, 1957, 267, 594, 786, 1101, 1867, 593, 519, 14820, 540, 3109, 1977, 1310, 2622, 2782, 594, 543, 519, 7766, 1514, 543, 2686, 32238, 602, 17275, 519, 31222, 11193, 269, 4746, 594, 993, 2469, 547, 1448, 856, 6206, 5515, 540, 519, 31222, 2797, 8186, 543, 519, 2101, 5716, 538, 31222, 781, 1148, 543, 2575, 10207, 269, 1230, 6984, 519, 1957, 786, 581, 513, 8086, 593, 519, 31222, 11193, 543, 922, 3310, 593, 3109, 2486, 543, 2528, 2221, 563, 1103, 476, 4489, 279, 267, 2622, 2782, 594, 729, 4947, 547, 922, 3932, 543, 1082, 540, 519, 2367, 13059, 689, 8396, 941, 3109, 269, 9861, 18246, 543, 1373, 6534, 547, 1007, 4529, 543, 9082, 1500, 1082, 540, 519, 7980, 8165, 538, 519, 2112, 6218, 741, 1378, 2528, 543, 1871, 630, 295, 10212, 1231, 533, 269, 278, 1040, 4563, 7980, 4947, 1753, 1185, 1044, 2182, 2989, 676, 2112, 543, 1185, 513, 17105, 2631, 540, 1018, 621, 729, 547, 581, 513, 812, 269, 3509, 3109, 7980, 8120, 547, 4872, 941, 789, 941, 5701, 899, 2034, 11665, 4961, 610, 1875, 268, 12516, 525, 1247, 741, 3043, 13413, 941, 8391, 1390, 1035, 8010, 269, 4563, 2367, 1223, 711, 1294, 875, 789, 1223, 2482, 1524, 741, 2729, 519, 1482, 607, 3043, 2367, 543, 1869, 711, 581, 741, 11224, 13998, 538, 713, 2197, 269, 3509, 540, 891, 2367, 1572, 585, 519, 1439, 540, 27740, 22098, 267, 540, 519, 2956, 540, 6803, 3961, 267, 543, 540, 519, 1007, 950, 3109, 2367, 1131, 723, 543, 29937, 1379, 630, 295, 10212, 1231, 533, 269, 278, 1040, 2060, 3109, 2367, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 26123, 3332, 530, 5942, 476, 1015, 3817, 1039, 1007, 2985, 519, 2648, 1650, 540, 7708, 559, 639, 267, 5067, 540, 4622, 17028, 600, 540, 512, 5797, 20875, 4630, 518, 519, 476, 8270, 611, 3638, 12107, 22092, 20095, 269, 634, 476, 8270, 611, 5758, 689, 1396, 577, 11301, 646, 7125, 547, 1010, 3993, 519, 26385, 2094, 513, 577, 14792, 568, 535, 730, 547, 5884, 513, 32219, 2669, 538, 6370, 269, 968, 1492, 476, 8270, 611, 892, 676, 4630, 518, 538, 519, 1390, 2648, 1650, 540, 713, 12473, 621, 568, 711, 535, 730, 585, 1864, 547, 1491, 512, 5797, 865, 519, 10971, 948, 646, 2758, 6146, 1273, 549, 1816, 269, 4828, 827, 2648, 538, 4630, 518, 779, 476, 8270, 611, 519, 2956, 540, 2648, 538, 4630, 518, 779, 476, 8270, 611, 543, 27356, 8124, 4630, 518, 779, 713, 568, 10268, 538, 519, 21055, 3993, 1606, 517, 269, 901, 835, 22240, 3391, 2882, 513, 4729, 5758, 543, 5618, 2079, 540, 519, 476, 8270, 611, 676, 4630, 518, 519, 476, 8270, 611, 568, 513, 543, 12134, 1010, 3993, 1776, 2101, 6249, 568, 602, 540, 2648, 563, 16032, 12556, 538, 519, 476, 8270, 611, 10530, 5697, 676, 5215, 540, 938, 3755, 4630, 518, 5067, 267, 30270, 689, 519, 476, 8270, 611, 519, 5067, 540, 513, 1390, 812, 267, 519, 3993, 945, 5795, 803, 1272, 734, 513, 269, 634, 476, 8270, 611, 676, 4630, 518, 630, 344, 1263, 536, 684, 810, 344, 264, 476, 272, 4630, 518, 779, 476, 273, 4630, 518, 3040, 1492, 6574, 540, 3504, 19967, 12473, 15023, 3040, 331, 1882, 538, 476, 25616, 27652, 267, 476, 1321, 628, 2540, 27652, 267, 610, 476, 278, 628, 269, 634, 476, 8270, 611, 267, 676, 4630, 518, 1433, 476, 1704, 540, 519, 6370, 1472, 519, 1560, 540, 1273, 549, 9383, 657, 855, 693, 516, 639, 685, 5067, 729, 621, 602, 9493, 1058, 7985, 22408, 4900, 1851, 2192, 1922, 730, 2367, 269, 634, 476, 8270, 611, 267, 676, 4630, 518, 1273, 549, 9383, 657, 267, 899, 513, 23816, 2370, 30823, 267, 602, 8255, 676, 1200, 3993, 779, 2427, 543, 1291, 519, 2112, 2000, 8221, 1250, 3944, 573, 976, 547, 519, 4339, 563, 13923, 10530, 689, 519, 476, 8270, 611, 281, 722, 499, 4630, 518, 267, 519, 476, 8270, 611, 476, 1626, 15055, 616, 519, 14930, 540, 693, 516, 639, 519, 1152, 2367, 538, 519, 1158, 945, 2648, 741, 24726, 269, 3367, 4274, 2079, 593, 1915, 2079, 538, 476, 8270, 611, 22559, 4064, 5067, 540, 519, 32161, 4262, 4630, 518, 5956, 1010, 476, 8270, 611, 676, 536, 27570, 1010, 544, 2224, 547, 2206, 540, 519, 32716, 540, 269, 667, 633, 883, 1896, 540, 519, 1034, 7986, 4798, 538, 4630, 518, 781, 12473, 6648, 1412, 1492, 476, 8270, 611, 262, 4798, 538, 519, 476, 8270, 611, 7688, 513, 577, 14792, 262, 3993, 267, 561, 14613, 519, 4332, 540, 1200, 5067, 269, 12429, 543, 5067, 3347, 538, 519, 27356, 8124, 676, 4630, 518, 543, 621, 568, 998, 3845, 602, 789, 1020, 25621, 543, 2648, 585, 835, 1776, 538, 968, 1492, 476, 8270, 611, 563, 14367, 4651, 543, 3993, 561, 13774, 1117, 1281, 711, 1118, 1010, 2648, 585, 713, 568, 4630, 518, 779, 9837, 2429, 519, 476, 8270, 611, 972, 568, 519, 7368, 2856, 269, 1280, 1250, 3993, 519, 26385, 519, 15831, 540, 8988, 3952, 13137, 2938, 538, 19967, 1686, 1134, 1310, 4630, 518, 781, 476, 8270, 611, 519, 2648, 1650, 540, 7708, 559, 639, 267, 5067, 540, 4622, 17028, 600, 540, 269, 10261, 948, 609, 1433, 476, 276, 538, 4630, 518, 781, 519, 476, 8270, 611, 32646, 6244, 517, 568, 18410, 639, 11313, 5067, 543, 568, 711, 535, 730, 547, 581, 7166, 676, 519, 476, 8270, 611, 1433, 476, 276, 1396, 577, 11301, 26270, 322, 267, 694, 4697, 476, 1704, 269, 5192, 606, 2626, 585, 1412, 6343, 568, 519, 1909, 540, 12556, 538, 4630, 518, 781, 476, 8270, 611, 543, 13171, 320, 18896, 781, 3209, 22101, 18588, 267, 2523, 609, 2463, 547, 602, 2021, 616, 535, 730, 547, 581, 563, 306, 517, 540, 513, 10143, 3993, 267, 519, 26385, 27356, 22040, 1107, 4622, 540, 13137, 2938, 538, 19967, 1686, 1134, 1310, 4630, 518, 781, 476, 8270, 611, 519, 2648, 1650, 540, 7708, 559, 639, 267, 5067, 540, 4622, 563, 1607, 3992, 12116, 519, 1909, 540, 12556, 538, 4630, 518, 781, 15234, 8270, 611, 5257, 519, 19967, 2427, 568, 535, 730, 547, 3094, 519, 2112, 519, 1523, 540, 12556, 538, 519, 476, 8270, 611, 568, 513, 1950, 835, 269, 634, 476, 8270, 611, 267, 1433, 1775, 267, 3515, 476, 272, 268, 1428, 4630, 518, 30270, 281, 689, 519, 476, 8270, 611, 267, 3515, 476, 272, 268, 1704, 267, 676, 4630, 518, 547, 7247, 519, 22378, 333, 995, 3993, 3976, 30491, 281, 630, 1492, 12627, 12772, 269, 13028, 4630, 518, 4583, 543, 4686, 10530, 1272, 3332, 2648, 14084, 18495, 4108, 11299, 544, 2224, 1928, 3237, 24960, 344, 17192, 30270, 476, 8270, 611, 540, 4630, 518, 5608, 533, 23056, 269, 634, 476, 8270, 611, 281, 1433, 476, 736, 6648, 676, 4630, 518, 910, 6648, 25433, 2367, 2161, 602, 596, 616, 5067, 547, 15626, 890, 548, 639, 267, 543, 602, 707, 3993, 568, 8292, 827, 519, 476, 8270, 611, 281, 1433, 476, 736, 676, 4630, 518, 269, 25264, 910, 519, 476, 8270, 611, 281, 1433, 476, 1460, 540, 513, 1007, 616, 519, 14930, 540, 693, 516, 639, 519, 1152, 2367, 593, 3618, 945, 2648, 741, 2021, 536, 3150, 1815, 1117, 1010, 5067, 267, 607, 1010, 3993, 543, 19946, 1705, 1932, 563, 763, 1909, 540, 2021, 538, 4630, 518, 779, 476, 8270, 611, 1557, 607, 513, 15962, 3993, 267, 1352, 568, 7255, 585, 1200, 5067, 543, 1010, 513, 6476, 540, 519, 1909, 540, 2021, 538, 4630, 518, 779, 27356, 8124, 269, 29331, 543, 3425, 538, 519, 476, 8270, 611, 1557, 609, 3425, 799, 1331, 2648, 267, 585, 333, 1709, 267, 543, 3993, 610, 4651, 5601, 538, 519, 476, 8270, 611, 676, 4630, 518, 519, 7819, 6561, 269, 634 ]

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

[ 265, 296, 267, 2427, 28747, 265, 297, 267, 2427, 28747, 265, 298, 454, 453, 453, 6572, 263, 11034, 318, 4812, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 737, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 795, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 1341, 737, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 1775, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 910, 737, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 1341, 795, 994, 453, 453, 6572, 263, 3200, 1182, 15631, 272, 316, 1341, 737, 994, 453, 19677, 269, 3200, 1182, 815, 14622, 454, 453, 19677, 6155, 3863, 318, 4650, 815, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 278, 267, 476, 277, 267, 476, 276, 267, 476, 275, 267, 476, 278, 267, 476, 277, 267, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 275, 267, 476, 274, 6540, 3698, 1629, 334, 263, 3333, 16747, 2187, 22592, 2721, 318, 3333, 16747, 10031, 453, 453, 31653, 8807, 650, 9230, 14838, 267, 14838, 267, 14838, 4917, 453, 453, 314, 27729, 6155, 3863, 4433, 10547, 267, 3337, 269, 1952, 569, 7272, 619, 8826, 6262, 600, 5028, 29223, 267, 10066, 267, 21951, 29223, 4297, 585, 3337, 538, 5546, 2639, 453, 453, 6853, 18524, 269, 5891, 269, 4148, 760, 10797, 22592, 1820, 318, 263, 11415, 2187, 453, 453, 338, 903, 14714, 323, 719, 22182, 30415, 1341, 27719, 337, 5602, 453, 453, 338, 903, 14714, 323, 719, 269, 4148, 2313, 10797, 453, 9471, 815, 594, 1341, 808, 1341, 918, 454, 453, 9471, 2608, 284, 476, 272, 32220, 11274, 263, 9471, 994, 453, 31748, 5028, 29223, 815, 21070, 263, 7742, 267, 476, 271, 267, 476, 271, 994, 453, 1613, 518, 29223, 815, 21070, 263, 5611, 271, 267, 476, 271, 267, 476, 271, 994, 453, 528, 1304, 566, 815, 21070, 263, 271, 267, 476, 271, 267, 476, 271, 2020, 453, 339, 787, 912, 453, 13537, 834, 20779, 21749, 4657, 8254, 10066, 4799, 453, 22610, 1775, 267, 7852, 538, 26246, 9230, 296, 267, 808, 267, 918, 15892, 4848, 453, 21163, 815, 14039, 270, 1911, 265, 9471, 454, 4848, 453, 9471, 12173, 815, 834, 343, 257, 952, 7852, 2652, 594, 3116, 9497, 344, 257, 952, 7852, 2652, 808, 3116, 834, 345, 5602, 4848, 22610, 9041, 538, 2039, 263, 1220, 2187, 15235, 453, 11034, 815, 942, 17085, 1442, 4590, 15235, 453, 9526, 318, 3333, 16747, 4590, 15235, 453, 528, 1304, 566, 6834, 1900, 454, 15235, 453, 19592, 4181, 815, 630, 528, 1304, 566, 5157, 316, 260, 263, 273, 265, 7032, 4297, 265, 5197, 270, 7032, 1948, 935, 3200, 32494, 9847, 5232, 454, 15235, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 15235, 453, 916, 326, 815, 834, 20779, 21749, 4939, 338, 7852, 10066, 2242, 281, 4939, 274, 269, 273, 325, 5232, 4831, 12641, 1442, 3772, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 15235, 13537, 318, 263, 916, 326, 4939, 630, 9471, 12173, 267, 5232, 267, 535, 1186, 4917, 4848, 13537, 834, 4840, 453, 13537, 834, 20779, 21749, 1689, 538, 8254, 3845, 689, 4099, 540, 16879, 4799, 453, 13537, 834, 8698, 518, 3845, 689, 8254, 568, 3586, 4799, 453, 22610, 9041, 538, 2039, 263, 1911, 271, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 31748, 5028, 29223, 6834, 594, 454, 4848, 453, 1613, 518, 29223, 6834, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 22610, 9041, 538, 2039, 263, 1911, 271, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 31748, 5028, 29223, 20699, 594, 454, 4848, 453, 1613, 518, 29223, 20699, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 13537, 834, 4840, 453, 13537, 834, 20779, 21749, 1689, 538, 21951, 3845, 689, 8254, 1448, 4799, 453, 13537, 834, 23173, 5028, 2990, 13978, 3586, 4799, 453, 22610, 9041, 538, 2039, 263, 4335, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 1613, 518, 29223, 20699, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 22610, 9041, 538, 2039, 263, 4335, 2187, 4848, 453, 11034, 815, 942, 17085, 1442, 4590, 4848, 453, 1613, 518, 29223, 6834, 594, 454, 4848, 453, 9526, 318, 3333, 16747, 4590, 4848, 453, 325, 1186, 815, 476, 272, 14370, 5503, 17085, 1442, 3890, 910, 1376, 994, 4848, 453, 916, 326, 815, 834, 23173, 5028, 2990, 281, 4939, 338, 269, 7348, 518, 2990, 281, 4939, 338, 269, 674, 4916, 281, 4939, 274, 269, 273, 325, 4799, 4848, 13537, 318, 263, 916, 326, 4939, 630, 1598, 6262, 600, 5028, 29223, 1070, 1193, 263, 1613, 518, 29223, 1070, 535, 1186, 4917, 453, 21955, 6206, 4580, 11328, 4533, 912, 453, 453, 10139, 454, 453, 325, 3373, 912, 453, 453, 338, 903, 14714, 323, 719, 22182, 19629, 333, 5602, 453, 453, 6853, 18524, 269, 10181, 10797, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 453, 5814, 4351, 454, 453, 3333, 16747, 815, 11713, 22610, 1775, 538, 2039, 263, 1839, 2187, 453, 453, 343, 815, 4351, 20120, 9792, 8987, 25002, 16427, 272, 994, 453, 453, 344, 815, 4351, 20120, 9792, 8987, 1220, 267, 1220, 994, 453, 453, 345, 815, 4351, 20120, 9792, 8987, 1220, 267, 1220, 994, 453, 453, 2515, 28747, 815, 476, 2004, 454, 453, 14851, 1775, 261, 272, 912, 4848, 453, 3333, 16747, 6910, 24867, 25523, 28353, 8443, 343, 11971, 267, 345, 3910, 2427, 28747, 4297, 28768, 453, 28432, 912, 4848, 453, 3333, 16747, 6910, 18154, 4209, 8443, 343, 11971, 267, 345, 3910, 2427, 28747, 11723, 453, 6853, 18524, 269, 8181, 4590, 453, 21653, 815, 476, 8517, 267, 476, 8517, 454, 453, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 4433, 1125, 994, 453, 12047, 334, 263, 3333, 16747, 994, 453, 0, 5814, 26417, 1477, 5814, 556, 1477, 5814, 5299, 1477, 5228, 621, 1068, 8962, 1104, 568, 331, 823, 267, 476, 714, 760, 1477, 5228, 10070, 1104, 22388, 1477, 5228, 5569, 1104, 18685, 1477, 5228, 11346, 1104, 6221, 1326, 614, 5897, 258, 1607, 1599, 12043, 519, 3758, 547, 581, 513, 1592, 540, 12673, 3079, 540, 922, 3044, 3898, 269, 901, 2337, 609, 9427, 14047, 566, 538, 2663, 2694, 540, 519, 3009, 1477, 3698, 1205, 17572, 31526, 8029, 453, 6050, 815, 1496, 15947, 22610, 1899, 538, 3758, 6769, 453, 453, 6050, 6910, 263, 1467, 3418, 16596, 3515, 1477, 258, 1607, 1599, 12523, 519, 1297, 540, 4845, 10678, 18685, 7436, 538, 1931, 547, 3313, 519, 1297, 540, 5220, 538, 519, 3758, 23228, 3698, 1205, 306, 550, 1878, 31526, 299, 1149, 8029, 453, 12248, 306, 550, 1878, 815, 476, 271, 1477, 22610, 1899, 538, 3758, 299, 1149, 6769, 453, 453, 12248, 306, 550, 1878, 6834, 1899, 29644, 263, 2668, 834, 264, 1341, 1899, 29644, 2891, 256, 834, 264, 1341, 1899, 29644, 2891, 286, 834, 3418, 13537, 2891, 2467, 616, 14307, 1293, 306, 550, 1878, 267, 834, 338, 550, 1878, 1701, 3418, 258, 1607, 1599, 11887, 950, 834, 1492, 257, 610, 834, 763, 257, 5956, 513, 4845, 676, 10992, 585, 782, 8320, 538, 799, 513, 18685, 1665, 568, 4553, 676, 602, 2262, 23228, 3698, 4845, 9359, 31526, 299, 1149, 8029, 453, 1492, 15575, 815, 476, 271, 1477, 22610, 1899, 538, 3758, 299, 1149, 6769, 453, 453, 1492, 15575, 6834, 1899, 29644, 263, 2668, 634, 8442, 1341, 1899, 29644, 263, 2668, 519, 8442, 1341, 1899, 29644, 2891, 256, 634, 8442, 1341, 1899, 29644, 2891, 256, 519, 8442, 1341, 1899, 29644, 2891, 286, 634, 8442, 1341, 1899, 29644, 2891, 256, 519, 14744, 13537, 2891, 2467, 616, 14307, 519, 15575, 267, 834, 338, 550, 25366, 806, 602, 2253, 609, 1412, 1492, 262, 1701, 10142, 258, 1607, 1599, 3096, 2834, 7215, 547, 1265, 782, 1913, 602, 2408, 1985, 547, 835, 1776, 1210, 476, 714, 760, 543, 568, 331, 823, 547, 1118, 8913, 1255, 540, 891, 1913, 269, 3973, 621, 11887, 519, 4908, 693, 799, 1142, 540, 519, 8424, 2049, 23228, 3698, 1293, 303, 4202, 31526, 299, 1149, 8029, 453, 301, 815, 476, 272, 1477, 453, 6919, 815, 556, 26098, 718, 19629, 342, 266, 2580, 1193, 31526, 299, 1149, 17903, 453, 335, 4202, 815, 22388, 263, 714, 760, 263, 6919, 267, 568, 331, 823, 263, 6919, 267, 476, 272, 267, 7183, 4297, 3418, 453, 9008, 318, 6919, 815, 15044, 9638, 4202, 269, 3438, 19477, 19572, 1883, 284, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 264, 11468, 301, 15947, 22610, 2262, 267, 4908, 538, 1283, 318, 6919, 6769, 453, 13537, 2891, 260, 338, 281, 4939, 323, 257, 4939, 630, 5320, 267, 4908, 264, 10142, 258, 1607, 12523, 519, 2698, 1297, 540, 1913, 538, 519, 3758, 1310, 9427, 18685, 609, 519, 1205, 24552, 3890, 1599, 23228, 3698, 2262, 15575, 31526, 299, 1149, 8029, 825, 562, 6919, 815, 7003, 263, 1326, 24552, 31526, 299, 1149, 4297, 453, 1477, 825, 2132, 562, 6919, 5897, 258, 1607, 1599, 568, 1031, 547, 4894, 2027, 3197, 689, 1913, 23228, 3698, 4368, 30415, 8029, 453, 2908, 11415, 815, 834, 29177, 14851, 5569, 314, 271, 316, 2652, 27719, 262, 257, 6769, 453, 453, 11415, 815, 5569, 314, 272, 281, 15947, 14851, 5569, 15631, 272, 316, 2652, 27719, 262, 257, 6769, 453, 453, 11415, 815, 5569, 11468, 910, 272, 15947, 22610, 524, 538, 5569, 6769, 453, 14851, 711, 524, 538, 27719, 2668, 286, 26514, 3890, 29755, 265, 282, 281, 257, 6769, 4848, 453, 2908, 11415, 6834, 524, 1477, 16596, 1007, 11415, 1477, 258, 1607, 1599, 12043, 519, 1913, 1210, 4368, 3890, 547, 4894, 782, 2027, 3197, 543, 18949, 519, 5569, 269, 898, 849, 2306, 621, 27608, 543, 18788, 8320, 540, 834, 734, 257, 602, 2408, 538, 519, 1257, 547, 5094, 1079, 1913, 23228, 3698, 1205, 24552, 31526, 299, 1149, 8029, 453, 2908, 6050, 815, 1496, 15947, 22610, 1899, 538, 3758, 299, 1149, 6769, 453, 453, 2908, 6050, 6910, 263, 1467, 18622, 2897, 2891, 734, 2580, 834, 834, 17903, 453, 6919, 815, 1496, 15947, 22610, 1899, 538, 1007, 6050, 6769, 453, 453, 6919, 6834, 1496, 25785, 27182, 264, 585, 2262, 538, 1899, 31573, 14061, 20889, 3890, 15947, 16596, 1913, 5897, 258, 1607, 1599, 12204, 1142, 2262, 676, 4908, 540, 5920, 543, 5932, 513, 26417, 3758, 609, 519, 6871, 540, 1142, 2262, 543, 4908, 540, 12136, 269, 898, 849, 6589, 585, 18685, 1210, 519, 4368, 3890, 1599, 543, 2306, 782, 519, 1913, 27608, 547, 2057, 5918, 27289, 23228, 3698, 1293, 24552, 31526, 299, 1149, 8029, 825, 562, 6919, 815, 2262, 15575, 31526, 299, 1149, 264, 453, 825, 1477, 825, 1913, 815, 15079, 1477, 825, 585, 1899, 538, 3758, 299, 1149, 281, 453, 1477, 1038, 585, 530, 538, 4786, 6600, 1460, 267, 1467, 31573, 14061, 20889, 3890, 8029, 2018, 1913, 314, 342, 316, 815, 1913, 10947, 26028, 267, 476, 271, 264, 1341, 476, 272, 1477, 825, 15044, 24552, 815, 15044, 263, 6919, 269, 3438, 19477, 19572, 1883, 284, 14403, 1326, 614, 263, 272, 1070, 9258, 18989, 25011, 271, 281, 316, 453, 1477, 825, 1250, 12803, 815, 1930, 3488, 29798, 27406, 3299, 1412, 342, 20298, 825, 21389, 815, 26417, 9884, 31581, 30044, 12803, 3418, 825, 585, 530, 267, 524, 538, 15044, 24552, 6769, 453, 453, 704, 1417, 720, 815, 3898, 9230, 263, 322, 265, 272, 269, 271, 8358, 333, 6919, 1070 ]

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

[ 602, 3715, 513, 1753, 4063, 267, 2059, 609, 4358, 270, 2056, 4967, 540, 5283, 21288, 2934, 607, 596, 849, 2446, 269, 4033, 1919, 1522, 581, 799, 4967, 616, 5129, 593, 519, 2178, 20054, 267, 799, 4967, 616, 5129, 1034, 30326, 543, 585, 13074, 267, 543, 865, 593, 269, 1411, 1522, 849, 2015, 824, 2178, 4967, 538, 519, 7154, 630, 21865, 519, 10001, 543, 966, 264, 607, 1134, 607, 519, 1753, 4063, 780, 2026, 596, 2161, 267, 1498, 267, 621, 781, 711, 14553, 3989, 267, 543, 538, 930, 2665, 513, 5152, 8276, 601, 1328, 29265, 858, 270, 3369, 7241, 949, 711, 723, 513, 2582, 2312, 1753, 4063, 910, 610, 1079, 19700, 1522, 10990, 607, 547, 1018, 519, 1753, 4063, 568, 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 ]

[ 781, 1876, 454, 273, 269, 10787, 611, 599, 779, 1101, 1876, 540, 13590, 15632, 454, 274, 269, 10787, 611, 599, 781, 2034, 1876, 540, 13590, 15632, 454, 275, 269, 18307, 2719, 781, 1318, 11804, 4341, 692, 29682, 476, 274, 2433, 10787, 611, 599, 781, 2034, 1876, 540, 13590, 15632, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 280, 26346, 8827, 692, 293, 541, 611, 599, 779, 1101, 1876, 540, 13590, 15632, 2829, 602, 8164, 513, 18364, 568, 5116, 538, 513, 8795, 6419, 2361, 267, 900, 325, 568, 13251, 799, 568, 1572, 13251, 900, 325, 269, 1403, 519, 18364, 5547, 568, 6806, 267, 519, 1699, 786, 849, 32694, 998, 519, 5547, 543, 713, 1699, 568, 1572, 13251, 1699, 780, 293, 541, 611, 599, 781, 2034, 1876, 540, 13590, 15632, 2829, 602, 519, 9588, 540, 900, 325, 13251, 538, 519, 16509, 568, 3160, 547, 519, 2557, 540, 1689, 540, 13441, 602, 3095, 1137, 609, 519, 16509, 269, 634, 13441, 3095, 720, 540, 519, 16509, 568, 519, 1587, 540, 1297, 540, 7140, 538, 519, 16509, 543, 13441, 2404, 609, 519, 16509, 780, 2330, 292, 815, 715, 21702, 13997, 323, 315, 12978, 7684, 2410, 346, 19049, 3686, 9681, 299, 20044, 781, 1876, 281, 1879, 513, 6453, 568, 6383, 676, 513, 1689, 538, 6419, 13441, 2687, 547, 10787, 611, 599, 781, 1876, 267, 519, 8701, 640, 540, 519, 13251, 6453, 568, 971, 602, 621, 7472, 513, 1699, 4171, 6419, 2361, 1727, 4680, 519, 1689, 799, 7472, 621, 780, 8256, 18790, 700, 20044, 781, 1876, 10484, 2330, 292, 815, 910, 715, 21702, 13997, 323, 315, 12978, 7684, 2410, 346, 19049, 3686, 9681, 293, 548, 2719, 781, 9406, 11804, 14329, 2982, 519, 4287, 540, 13251, 1699, 950, 513, 18364, 7923, 547, 513, 5547, 7575, 538, 513, 6419, 2361, 269, 898, 666, 581, 1031, 547, 3313, 519, 4287, 540, 1699, 538, 513, 11718, 781, 2842, 902, 780, 2026, 3254, 593, 519, 1657, 4137, 267, 952, 519, 14853, 267, 519, 2062, 325, 5424, 267, 543, 519, 1647, 9416, 540, 519, 1318, 1688, 616, 18761, 693, 1318, 7285, 547, 835, 1776, 609, 519, 14853, 11329, 538, 519, 4287, 540, 5163, 540, 513, 18364, 3448, 547, 513, 6419, 2361, 543, 519, 2062, 325, 5424, 538, 519, 4287, 540, 519, 2361, 267, 1287, 519, 1647, 9416, 786, 1448, 538, 519, 4287, 540, 519, 13251, 30402, 12067, 3196, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1015, 692, 293, 12661, 902, 2451, 1688, 4341, 1281, 711, 5815, 692, 272, 269, 634, 4287, 540, 1699, 2095, 538, 519, 18364, 454, 273, 269, 634, 6453, 538, 519, 18364, 454, 274, 269, 634, 4287, 540, 519, 6419, 13441, 454, 275, 269, 634, 4287, 5163, 540, 519, 18364, 692, 29682, 476, 273, 2433, 634, 6453, 538, 519, 18364, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1015, 26346, 8827, 692, 12640, 6866, 513, 1699, 8876, 18364, 568, 5116, 538, 513, 6419, 2361, 267, 519, 18364, 2833, 513, 3196, 799, 568, 13902, 547, 1312, 519, 6419, 2361, 543, 519, 4287, 540, 519, 1699, 780, 6097, 547, 18307, 2719, 781, 2451, 11804, 4341, 267, 952, 519, 14853, 267, 2062, 325, 5424, 543, 1647, 9416, 540, 519, 2451, 1688, 616, 21401, 547, 581, 13902, 547, 1142, 824, 607, 3254, 538, 519, 4137, 267, 543, 952, 519, 2062, 325, 5424, 4564, 519, 4287, 540, 519, 6419, 2361, 267, 519, 1647, 9416, 4564, 519, 4287, 540, 1699, 267, 1287, 519, 14853, 4564, 519, 4287, 540, 3196, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1556, 692, 763, 23483, 540, 19385, 766, 568, 1572, 30269, 780, 272, 269, 1234, 716, 766, 454, 273, 269, 18650, 454, 274, 269, 1473, 10631, 766, 454, 275, 269, 18983, 324, 766, 692, 29682, 476, 275, 2433, 18983, 324, 766, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1556, 26346, 8827, 692, 763, 2953, 2626, 568, 4781, 476, 275, 454, 3519, 1061, 1384, 1892, 4039, 10631, 766, 568, 519, 3959, 540, 513, 6419, 5547, 15852, 519, 8574, 540, 6419, 13441, 3515, 563, 1892, 2755, 18983, 324, 766, 568, 519, 23483, 540, 19385, 766, 543, 568, 513, 2268, 540, 6419, 13441, 585, 513, 1297, 540, 1699, 7140, 538, 513, 6419, 5547, 563, 1892, 18983, 324, 766, 815, 13441, 270, 12613, 293, 692, 2330, 303, 1069, 324, 766, 815, 1422, 2765, 3189, 12978, 25452, 13997, 293, 8548, 3686, 15732, 2330, 303, 1069, 324, 766, 815, 1422, 2765, 13997, 3189, 14153, 9041, 271, 7346, 14153, 9041, 337, 348, 320, 12453, 331, 15732, 1892, 634, 16038, 1770, 540, 6419, 15449, 766, 568, 1357, 619, 829, 18041, 699, 2389, 1248, 799, 568, 670, 630, 1156, 787, 1916, 1892, 18983, 324, 766, 568, 519, 1109, 1889, 5501, 540, 519, 8897, 609, 799, 13441, 666, 581, 1305, 909, 538, 513, 1570, 563, 1892, 769, 824, 1913, 267, 621, 3800, 519, 9588, 540, 519, 13441, 585, 519, 1297, 540, 7140, 538, 606, 3167, 5547, 563, 1892, 634, 15449, 766, 568, 26922, 547, 519, 2932, 766, 538, 606, 5122, 5547, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1321, 692, 6097, 547, 519, 1318, 26370, 1351, 802, 920, 342, 4341, 267, 519, 4287, 540, 519, 6419, 2361, 568, 8612, 676, 799, 540, 519, 1739, 2496, 272, 269, 769, 519, 1482, 4287, 607, 519, 3350, 540, 519, 17684, 563, 273, 269, 769, 519, 7299, 4287, 540, 10047, 540, 519, 17684, 563, 274, 269, 769, 519, 4287, 540, 3458, 9405, 538, 563, 275, 269, 769, 519, 4287, 540, 10047, 540, 519, 17684, 780, 29682, 476, 275, 2433, 769, 519, 4287, 540, 10047, 540, 519, 17684, 780, 2971, 5082, 668, 24599, 1143, 7726, 476, 1321, 26346, 8827, 692, 763, 2953, 2626, 568, 4781, 476, 275, 692, 25321, 4753, 8976, 1384, 1892, 25080, 2361, 281, 634, 2230, 610, 3148, 1472, 519, 1109, 9690, 21307, 11538, 1109, 342, 790, 8276, 8221, 3167, 5279, 1109, 528, 1472, 519, 6419, 1570, 538, 799, 1109, 4403, 540, 11275, 1143, 1109, 4754, 581, 4810, 676, 824, 6419, 1570, 568, 1572, 1109, 332, 8568, 2361, 8276, 8568, 15632, 1109, 2421, 602, 1570, 270, 9690, 563, 1892, 898, 568, 20922, 676, 645, 543, 519, 16038, 1770, 540, 519, 6419, 2361, 568, 519, 512, 525, 5055, 630, 307, 1916, 1892, 1284, 917, 602, 950, 513, 1699, 568, 5293, 998, 513, 10647, 5911, 267, 513, 6419, 2361, 568, 3812, 1472, 621, 563, 1892, 634, 4287, 540, 519, 13251, 6419, 2361, 1472, 513, 2786, 1699, 21307, 11538, 5911, 666, 581, 5462, 676, 2676, 272, 269, 7665, 6202, 781, 1351, 802, 920, 342, 4341, 454, 273, 269, 9406, 11804, 14853, 4341, 692, 16655, 6202, 781, 1351, 802, 920, 342, 4341, 1384, 1892, 5994, 513, 1318, 26370, 1351, 802, 920, 342, 14084, 609, 922, 7852, 14626, 1938, 609, 519, 1699, 21307, 11538, 5911, 563, 1892, 898, 568, 1631, 29352, 971, 602, 621, 8441, 538, 519, 4287, 540, 519, 1699, 267, 1287, 519, 4287, 538, 799, 519, 17684, 29226, 3947, 519, 4287, 540, 519, 6419, 2361, 780, 1892, 1403, 649, 3180, 519, 1699, 21307, 11538, 18364, 538, 519, 1318, 1688, 971, 602, 519, 14853, 2798, 538, 519, 4287, 540, 519, 1699, 267, 1287, 519, 11263, 1958, 597, 743, 539, 519, 5911, 538, 519, 4287, 540, 519, 6419, 2361, 563, 1892, 692, 1892, 1284, 917, 602, 519, 1109, 323, 3925, 540, 519, 13251, 6419, 2361, 1472, 513, 2786, 1699, 21307, 11538, 5911, 1109, 4754, 581, 5462, 676, 2676, 272, 269, 7665, 6202, 781, 1351, 802, 920, 342, 4341, 454, 273, 269, 9406, 11804, 14853, 4341, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1724, 692, 7617, 7274, 568, 6719, 676, 2062, 325, 5424, 538, 18307, 2719, 779, 2451, 1688, 4341, 2496, 272, 269, 634, 4287, 540, 3196, 593, 519, 18364, 454, 273, 269, 634, 4287, 540, 519, 1699, 454, 274, 269, 634, 4287, 540, 519, 3167, 2361, 454, 275, 269, 634, 4287, 540, 519, 2361, 13441, 692, 29682, 476, 275, 2433, 634, 4287, 540, 519, 2361, 13441, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1724, 26346, 8827, 692, 763, 2953, 2626, 568, 4781, 476, 275, 780, 15008, 1384, 1892, 24269, 513, 1699, 21307, 11538, 18364, 568, 5116, 538, 513, 6419, 2361, 267, 519, 18364, 2833, 513, 3196, 602, 568, 13902, 547, 1312, 519, 6419, 2361, 543, 519, 4287, 540, 519, 1699, 563, 1892, 4340, 547, 18307, 2719, 781, 2451, 11804, 4341, 267, 952, 519, 14853, 267, 2062, 325, 5424, 267, 543, 1647, 9416, 540, 519, 2451, 1688, 616, 21401, 547, 581, 13902, 547, 1142, 824, 607, 3254, 538, 519, 4137, 267, 543, 952, 519, 2062, 325, 5424, 4564, 519, 4287, 540, 519, 6419, 2361, 8276, 8568, 13441, 267, 519, 1647, 9416, 4564, 519, 4287, 540, 519, 1699, 267, 1287, 519, 14853, 4564, 519, 4287, 540, 519, 3196, 780, 324, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1691, 692, 10521, 1699, 8876, 26423, 14084, 6252, 547, 1142, 824, 616, 11851, 532, 513, 3196, 540, 16007, 593, 1142, 824, 269, 634, 14768, 616, 692, 272, 269, 8899, 543, 8795, 454, 273, 269, 1164, 454, 274, 269, 538, 6587, 4287, 454, 275, 269, 538, 519, 1482, 4287, 692, 29682, 476, 275, 2433, 538, 519, 1482, 4287, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1691, 26346, 8827, 692, 25321, 4753, 8976, 1384, 300, 8568, 2361, 1384, 1892, 634, 1109, 11898, 610, 3148, 1109, 19925, 519, 1109, 9690, 21307, 11538, 1109, 342, 790, 8276, 8221, 3167, 5279, 1109, 528, 1472, 519, 6419, 1570, 1109, 514, 799, 1109, 4403, 540, 11275, 1143, 1109, 4754, 581, 1109, 23024, 27624, 1109, 2421, 824, 1109, 332, 8568, 1570, 28812, 1572, 607, 1109, 332, 8568, 2361, 8276, 8568, 15632, 1109, 2421, 602, 1570, 270, 9690, 563, 1892, 898, 568, 20922, 676, 645, 563, 1892, 634, 1109, 332, 8568, 3196, 829, 1770, 3259, 1109, 24992, 1109, 18314, 6252, 12904, 28812, 2016, 676, 16963, 11377, 23976, 1422, 2765, 346, 293, 2410, 331, 348, 815, 1422, 2765, 13997, 3189, 14153, 9041, 334, 3686, 2410, 346, 273, 19570, 476, 14990, 2765, 13997, 273, 346, 296, 318, 272, 2410, 296, 318, 273, 3686, 2410, 323, 15732, 8489, 13179, 271, 1109, 284, 11863, 339, 2032, 540, 1863, 2230, 267, 594, 272, 1109, 284, 1699, 538, 513, 1101, 5911, 267, 594, 273, 1109, 284, 1699, 538, 513, 2034, 5911, 28504, 815, 3845, 1063, 1079, 12904, 267, 543, 561, 815, 3259, 540, 1699, 21307, 11538, 5911, 780, 13052, 303, 6369, 2793, 3582, 281, 25991, 692, 1892, 634, 1109, 332, 8568, 3196, 829, 1770, 3259, 1109, 24992, 1109, 18314, 6252, 12904, 28812, 2016, 676, 16963, 11377, 23976, 1422, 2765, 346, 293, 2410, 331, 348, 815, 1422, 2765, 13997, 3189, 14153, 9041, 334, 3686, 2410, 346, 273, 19570, 476, 14990, 2765, 13997, 273, 346, 296, 318, 272, 2410, 296, 318, 273, 3686, 2410, 323, 15732, 1892, 1403, 519, 18364, 1109, 322, 1551, 625, 1109, 1492, 1109, 9690, 538, 519, 1482, 4287, 267, 1287, 519, 1109, 4403, 1063, 873, 786, 581, 10694, 454, 1892, 1403, 519, 18364, 1109, 322, 1551, 625, 1109, 1492, 1109, 9690, 538, 519, 6587, 4287, 267, 1287, 519, 1109, 4403, 1063, 873, 786, 581, 1065, 14601, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1428, 692, 7617, 835, 540, 519, 1739, 568, 513, 7542, 11424, 1570, 2496, 272, 269, 19162, 601, 454, 274, 269, 1773, 11294, 636, 454, 275, 269, 21019, 692, 29682, 476, 272, 2433, 19162, 601, 692, 2971, 5082, 668, 24599, 1143, 7726, 476, 1428, 26346, 8827, 692, 293, 518, 11424, 15240, 1734, 281, 1109, 763, 6878, 799, 616, 9244, 11275, 1242, 950, 5116, 538, 606, 5007, 6419, 2361, 1109, 514, 519, 1482, 4287, 547, 519, 4294, 2361, 616, 1572, 7542, 11424, 6878, 780, 7078, 281, 1109, 27860, 267, 19695, 267, 524, 28240, 692, 19187, 2906, 1384, 1892, 1452, 616, 6353, 676, 6252, 12972, 540, 6419, 16702, 3421, 454, 1892, 1452, 6878, 616, 9244, 13631, 676, 513, 11275, 454, 1892, 898, 10953, 2178, 11275, 1436, 538, 519, 4287, 540, 519, 4294, 6419, 2361, 454, 1892, 1635, 9427, 11275, 1944, 19429, 267, 621, 1281, 711, 6336, 922, 11275, 1436, 454, 1892, 25080, 18687, 568, 1454, 3152, 982, 476, 272, 454, 1892, 28731, 27978, 568, 1454, 3152, 982, 476, 272, 454, 1892, 25080, 27978, 568, 1454, 3677, 3379, 547, 1863, 2230, 692, 7698, 25080, 12246, 1061, 2225, 630, 311, 332, 30692, 264, 28731, 18983, 324, 1464, 630, 298, 332, 1109, 284, 476, 272, 1341, 2473, 332, 264, 25080, 18983, 324, 1464, 630, 19031, 332, 815, 1109, 298, 332, 19031, 271, 264, 18924, 8568, 910, 1015, 268, 276, 1109, 1729, 910, 1015, 268, 280, 2999, 476, 272, 32755 ]

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

[ 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 30747, 569, 4283, 21189, 3877, 2630, 281, 20257, 17569, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 20257, 17569, 10797, 825, 2518, 9411, 318, 639, 20713, 454, 825, 2518, 9411, 7272, 817, 5320, 692, 825, 9411, 318, 639, 20713, 815, 21642, 309, 541, 4590, 825, 9411, 7272, 817, 5320, 815, 21642, 309, 541, 10797, 825, 1948, 2518, 27024, 318, 18782, 272, 454, 825, 1948, 2518, 10957, 318, 18782, 272, 692, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 5825, 20713, 2608, 834, 1040, 17569, 4590, 825, 9411, 318, 639, 20713, 815, 28678, 263, 30720, 273, 267, 1257, 19702, 762, 815, 9411, 318, 639, 20713, 994, 825, 9411, 318, 639, 20713, 4877, 871, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 20257, 17569, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 27879, 5320, 2608, 834, 1040, 17569, 4590, 825, 9411, 7272, 817, 5320, 815, 28678, 263, 30720, 273, 267, 1257, 19702, 762, 815, 9411, 7272, 817, 5320, 994, 825, 9411, 7272, 817, 5320, 4877, 871, 4590, 825, 22443, 263, 30720, 273, 267, 1257, 815, 834, 20257, 17569, 4590, 825, 29502, 263, 30720, 273, 267, 1257, 815, 834, 19868, 514, 2580, 8700, 815, 476, 1015, 267, 4463, 815, 476, 272, 267, 4971, 815, 21189, 318, 591, 2305, 1040, 17569, 30800, 3698, 21189, 318, 591, 2305, 10031, 825, 27024, 272, 815, 9411, 318, 639, 20713, 10947, 4590, 825, 10957, 272, 815, 9411, 7272, 817, 5320, 10947, 10797, 825, 21189, 318, 920, 323, 1113, 338, 815, 31460, 825, 609, 1930, 2891, 8421, 514, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 267, 1642, 574, 3438, 284, 22207, 5073, 1038, 585, 4737, 538, 5467, 912, 2018, 21189, 318, 920, 323, 1113, 338, 314, 992, 314, 271, 14963, 815, 4737, 314, 272, 6540, 825, 952, 27024, 272, 538, 21189, 318, 920, 323, 1113, 338, 912, 1038, 952, 21189, 318, 920, 323, 1113, 338, 314, 639, 20713, 272, 316, 2652, 10957, 272, 912, 2018, 2953, 318, 8421, 514, 4590, 1038, 3116, 912, 2018, 10957, 318, 4532, 8091, 4590, 825, 3116, 912, 1038, 10002, 318, 2254, 6958, 895, 10797, 3698, 2953, 318, 8421, 514, 10031, 825, 21189, 5334, 9231, 30800, 3698, 10957, 318, 4532, 8091, 10031, 825, 2518, 6885, 275, 454, 825, 6885, 275, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 275, 26644, 2891, 12528, 318, 15574, 5602, 825, 6885, 275, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 275, 267, 1257, 815, 834, 27879, 5320, 5549, 8091, 1701, 1040, 17569, 4590, 825, 29502, 263, 30720, 275, 267, 1257, 815, 834, 302, 14389, 1701, 267, 8700, 815, 476, 1015, 267, 4463, 815, 476, 272, 267, 4971, 815, 2673, 273, 1040, 17569, 10797, 3698, 10002, 318, 2254, 6958, 895, 10031, 825, 2518, 6885, 276, 454, 825, 6885, 276, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 276, 26644, 2891, 12528, 318, 15574, 5602, 825, 6885, 276, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 276, 267, 1257, 815, 834, 5825, 20713, 543, 10426, 5320, 711, 1336, 1701, 1040, 17569, 4590, 825, 29502, 263, 30720, 276, 267, 1257, 815, 834, 302, 14389, 1701, 267, 8700, 815, 476, 1015, 267, 4463, 815, 476, 272, 267, 4971, 815, 2673, 274, 1040, 17569, 10797, 3698, 2673, 273, 10031, 825, 6885, 275, 6155, 652, 5797, 10797, 3698, 2673, 274, 10031, 825, 6885, 276, 6155, 652, 5797, 10797, 3698, 21189, 5334, 9231, 10031, 825, 6885, 279, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 279, 26644, 2891, 27165, 6176, 5602, 825, 6885, 279, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 279, 267, 1257, 815, 834, 291, 1662, 4580, 20257, 17569, 4590, 825, 29502, 263, 30720, 279, 267, 1257, 815, 834, 8620, 20260, 2580, 4971, 815, 3355, 1125, 318, 4186, 847, 1040, 17569, 4590, 825, 29502, 263, 30720, 279, 267, 1257, 815, 834, 8698, 20260, 338, 2580, 4971, 815, 2070, 318, 4186, 847, 338, 1040, 17569, 10797, 692, 3698, 3355, 1125, 318, 4186, 847, 3890, 1384, 825, 2518, 23138, 12173, 454, 825, 23138, 12173, 815, 21642, 309, 541, 4590, 825, 2518, 2698, 318, 26920, 454, 825, 2698, 318, 26920, 815, 21642, 309, 541, 4590, 825, 2518, 4266, 454, 825, 4266, 815, 21642, 309, 541, 10797, 825, 2518, 6885, 280, 454, 825, 6885, 280, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 280, 26644, 2891, 27165, 6176, 5602, 825, 6885, 280, 269, 613, 5852, 2891, 4968, 343, 7742, 5602, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 291, 1662, 4580, 20257, 17569, 10797, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 24246, 518, 8745, 20257, 17569, 4590, 825, 28678, 263, 30720, 280, 267, 1257, 19702, 762, 815, 23138, 12173, 1040, 17569, 4590, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 13707, 2549, 870, 20257, 17569, 4590, 825, 28678, 263, 30720, 280, 267, 1257, 19702, 762, 815, 2698, 318, 26920, 1040, 17569, 4590, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 14630, 20257, 17569, 4590, 825, 28678, 263, 30720, 280, 267, 1257, 19702, 762, 815, 4266, 1040, 17569, 4590, 825, 29502, 263, 30720, 280, 267, 1257, 815, 834, 8620, 2580, 4971, 815, 1711, 318, 4186, 847, 1040, 17569, 10797, 3698, 1711, 318, 4186, 847, 3890, 1384, 825, 6075, 318, 4186, 716, 4289, 815, 11713, 825, 4579, 16182, 4289, 815, 11713, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 267, 1642, 574, 3438, 284, 22207, 5073, 1038, 585, 4737, 538, 5467, 912, 2018, 6075, 318, 4186, 716, 4289, 6910, 21405, 994, 2018, 4579, 16182, 4289, 6910, 17301, 21405, 314, 271, 8079, 2020, 1038, 1007, 16182, 815, 3193, 263, 4186, 847, 16182, 4289, 264, 1341, 476, 272, 454, 1038, 521, 12173, 815, 9411, 318, 639, 20713, 10947, 4590, 1038, 6075, 318, 4186, 716, 4289, 6910, 8443, 2908, 16182, 267, 23138, 12173, 10947, 19572, 521, 12173, 267, 2698, 318, 26920, 10947, 19572, 2698, 318, 26920, 10947, 19572, 4266, 10947, 19572, 834, 514, 14814, 2580, 834, 2580, 834, 257, 7481, 825, 678, 325, 25379, 10797, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 342, 2580, 1007, 1467, 284, 5257, 264, 607, 530, 325, 912, 1038, 5856, 815, 26417, 9884, 31581, 26028, 325, 994, 1038, 5856, 9884, 31581, 3298, 6262, 2396, 518, 318, 4186, 716, 4289, 994, 825, 530, 325, 25379, 10797, 825, 22443, 263, 30720, 280, 267, 1257, 815, 834, 6944, 847, 23095, 2580, 535, 326, 815, 834, 13582, 257, 2073, 325, 2632, 815, 9497, 5632, 756, 686, 2580, 476, 1556, 26895, 17569, 10797, 3698, 2070, 318, 4186, 847, 338, 10031, 825, 2518, 2012, 454, 825, 2012, 815, 9411, 318, 639, 20713, 10947, 4590, 825, 782, 318, 4186, 847, 338, 815, 11713, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 267, 1642, 574, 3438, 284, 22207, 5073, 1038, 585, 4737, 538, 5467, 912, 2018, 952, 4737, 314, 272, 316, 2652, 2012, 610, 4737, 314, 273, 316, 2652, 2012, 912, 3546, 782, 318, 4186, 847, 338, 6910, 21405, 2020, 825, 6885, 1015, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 1015, 26644, 2891, 14483, 20260, 338, 5602, 825, 6885, 1015, 269, 613, 5852, 2891, 4335, 343, 4335, 5602, 825, 22443, 263, 30720, 1015, 267, 1257, 815, 834, 14483, 20260, 338, 616, 607, 5205, 281, 20257, 17569, 4590, 825, 585, 3693, 538, 782, 318, 4186, 847, 338, 912, 1038, 22443, 263, 30720, 1015, 267, 1257, 815, 3693, 1040, 17569, 10797, 825, 29502, 263, 30720, 1015, 267, 1257, 815, 834, 31171, 20260, 2580, 4971, 815, 12575, 318, 4186, 847, 1040, 17569, 30800, 825, 1948, 1592, 26213, 27044, 263, 21715, 267, 834, 6944, 847, 9517, 1923, 16179, 518, 8745, 8587, 1422, 339, 29146, 1923, 590, 11839, 8745, 8587, 1422, 339, 29146, 1923, 11192, 2549, 870, 8587, 1422, 339, 29146, 1923, 590, 11839, 8745, 8587, 1422, 339, 29146, 1923, 7195, 600, 576, 2549, 870, 8587, 1422, 339, 29146, 1923, 11261, 8587, 1422, 339, 29146, 1923, 21073, 8587, 1422, 339, 29146, 1923, 31524, 7089, 8587, 1422, 339, 29146, 1923, 2961, 8175, 14826, 5602, 825, 1948, 1592, 26213, 27044, 263, 21715, 2437, 5785, 5785, 5785, 5785, 5785, 24801, 19203, 5602, 825, 1948, 1592, 26213, 27044, 263, 21715, 2437, 315, 333, 15419, 825, 1948, 585, 1775, 538, 2039, 12759, 263, 718, 318, 4186, 847, 338, 15892, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 263, 718, 318, 4186, 847, 338, 5157, 6012, 271, 28413, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1923, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 272, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 273, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 274, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 275, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 276, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 277, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 278, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 339, 1422, 339, 347, 15419, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 267, 718, 318, 4186, 847, 338, 5157, 6012, 279, 7481, 825, 1948, 672, 1592, 26213, 27044, 263, 21715, 2437, 315, 333, 15419, 825, 1948, 672, 8464, 815, 570, 330, 4590, 825, 1948, 672, 6003, 815, 22443, 4433, 13990, 267, 1257, 6889, 11947, 590, 13990, 2580, 13944, 815, 9497, 6635, 658, 2580, 1789, 26895, 28186, 21405, 815, 476, 271, 267, 9587, 3966, 815, 476, 274, 994, 825, 1948, 672, 1592, 26213, 284, 7956, 4433, 13990, 267, 12296, 815, 476, 2412, 994, 825, 1948, 672, 1592, 26213, 26942, 21405, 815, 476, 272, 267, 26383, 284, 476, 271, 267, 9587, 3966, 815, 476, 273, 994, 825, 1948, 672, 1397, 306, 13990, 815, 29502, 4433, 13990, 267, 1257, 815, 834, 17004, 8464, 2580, 12296, 815, 476, 1428, 267, 4971, 815, 1397, 1040, 28186, 21405, 815, 476, 275, 267, 6241, 815, 476, 271, 994, 825, 1948, 672, 2673, 3719, 2023, 815, 29502, 4433, 13990, 267, 1257, 815, 834, 5141, 846, 2580, 12296, 815, 476, 1428, 267, 4971, 815, 14827, 1040, 28186, 21405, 815, 476, 275, 267, 6241, 815, 476, 272, 2020, 825, 1948, 672, 8464, 6230, 664, 31467, 30800, 3698, 12575, 318, 4186, 847, 3890, 1384, 825, 2518, 524, 660, 4135, 16182, 454, 825, 524, 660, 4135, 16182, 815, 21642, 309, 541, 10797, 825, 6885, 1556, 815, 570, 963, 767, 263, 30720, 994, 825, 6885, 1556, 26644, 2891, 31171, 20260, 5602, 825, 6885, 1556, 269, 613, 5852, 2891, 4335, 343, 1911, 5602, 825, 22443, 263, 30720, 1556, 267, 1257, 815, 834, 8923, 4283, 519, 20260, 9517, 540, 519, 4579, 596, 6999, 547, 12575, 281, 20257, 17569, 4590, 825, 28678, 263, 30720, 1556, 267, 1257, 19702, 762, 815, 524, 660, 4135, 16182, 1040, 17569, 4590, 825, 29502, 263, 30720, 1556, 267, 1257, 815, 834, 31171, 2580, 4971, 815, 9337, 318, 4186, 847, 1040, 17569, 10797, 3698, 9337, 318, 4186, 847, 10031, 825, 2012, 815, 9411, 318, 639, 20713, 10947, 4590, 825, 782, 318, 4186, 847, 338, 9078, 560, 815, 11713, 825, 609, 1930, 2891, 322, 2396, 518, 318, 4186, 847, 338, 27406, 2580, 834, 4135, 8442, 607, 678, 325, 912, 1038, 5467, 815, 26417, 18667, 518, 16868, 325, 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 ]

[ 666, 581, 1031, 607, 5521, 15969, 267, 9033, 15969, 267, 10786, 15969, 267, 562, 26517, 1938, 267, 2030, 610, 3662, 2208, 22124, 267, 2030, 7794, 619, 267, 6915, 652, 574, 592, 1218, 267, 6915, 325, 23459, 9088, 543, 811, 563, 289, 11340, 4382, 1938, 666, 581, 968, 332, 15412, 10118, 892, 1759, 593, 2713, 7103, 971, 607, 4551, 267, 13271, 267, 8290, 543, 642, 10098, 1749, 610, 968, 332, 659, 13681, 10118, 892, 1759, 593, 12550, 13060, 267, 610, 968, 15318, 19680, 338, 2108, 1759, 593, 2030, 21555, 267, 610, 968, 6798, 12950, 338, 2223, 799, 949, 2270, 32176, 668, 2158, 543, 824, 10859, 12950, 338, 267, 607, 1134, 607, 824, 2067, 2472, 971, 607, 10399, 267, 6886, 543, 11476, 563, 289, 11340, 4382, 1938, 723, 2938, 4028, 2208, 538, 5607, 543, 568, 19788, 1719, 607, 835, 540, 519, 3056, 3681, 538, 7693, 4027, 3292, 269, 1717, 267, 519, 3119, 21677, 547, 891, 2472, 568, 519, 9431, 1184, 585, 18465, 4382, 728, 2472, 538, 1114, 7489, 2477, 269, 634, 1292, 9777, 725, 585, 18465, 4382, 728, 14261, 538, 6789, 292, 3198, 2477, 616, 2356, 2147, 547, 519, 3114, 23561, 9777, 725, 269, 1809, 519, 4170, 593, 1239, 543, 2199, 8062, 616, 1114, 538, 1142, 2197, 563, 289, 11340, 4382, 1938, 616, 849, 1634, 607, 6211, 338, 267, 6211, 13851, 267, 2067, 13851, 267, 1979, 665, 2632, 1503, 8069, 610, 23020, 13851, 269, 4014, 18465, 4382, 1938, 616, 1031, 11451, 267, 519, 6042, 543, 8128, 3238, 538, 519, 14261, 3157, 4268, 693, 513, 6237, 610, 3084, 1377, 5001, 269, 769, 17289, 267, 27386, 338, 2887, 896, 21145, 476, 272, 610, 476, 273, 540, 519, 3114, 7939, 267, 4470, 593, 519, 19857, 1031, 267, 543, 538, 824, 7489, 2477, 267, 18465, 4382, 1938, 616, 3769, 538, 519, 7121, 540, 2027, 13851, 607, 968, 6798, 12950, 13851, 1848, 769, 2342, 267, 789, 666, 581, 14931, 607, 989, 10635, 8707, 338, 896, 19938, 10566, 476, 8099, 278, 270, 1220, 280, 267, 610, 607, 1979, 665, 1938, 896, 19938, 476, 276, 2764, 270, 1001, 273, 269, 769, 519, 2136, 2276, 267, 519, 16501, 568, 519, 6392, 3238, 269, 19364, 10499, 288, 543, 4516, 616, 849, 14931, 14384, 269, 769, 3162, 3013, 267, 519, 1656, 6756, 7991, 543, 30330, 657, 584, 616, 519, 1079, 7161, 12270, 519, 11782, 269, 1452, 616, 930, 1806, 540, 4763, 543, 6988, 538, 519, 1858, 540, 519, 2518, 14261, 540, 18465, 4382, 1938, 563, 3674, 707, 18465, 4382, 728, 538, 513, 3989, 7121, 2687, 547, 519, 6042, 540, 1141, 596, 20053, 547, 11578, 286, 1772, 707, 3742, 6219, 3989, 585, 14261, 5773, 286, 6904, 6042, 4019, 547, 707, 6219, 9706, 6055, 286, 1772, 707, 18465, 4382, 728, 513, 1970, 16151, 6219, 286, 1684, 596, 991, 547, 1685, 513, 1981, 4879, 585, 1250, 1587, 286, 1772, 519, 1942, 540, 513, 18465, 4382, 728, 14261, 519, 1482, 607, 585, 513, 6671, 3114, 1587, 286, 1548, 568, 519, 5934, 1239, 10421, 286, 1684, 596, 991, 547, 11578, 707, 1587, 286, 1772, 972, 1022, 2027, 3728, 3950, 5650, 538, 519, 2197, 596, 20053, 547, 11578, 707, 1587, 888, 330, 7224, 749, 568, 513, 4759, 540, 519, 4437, 739, 574, 592, 656, 12752, 7027, 630, 292, 289, 2975, 264, 543, 568, 4061, 693, 519, 21282, 540, 707, 2115, 538, 519, 14261, 1184, 563, 5978, 4966, 543, 12665, 5001, 666, 948, 609, 707, 1367, 14511, 1644, 547, 7693, 4027, 269, 5192, 538, 5905, 256, 0, 763, 3163, 7467, 20274, 568, 16475, 513, 5722, 12268, 12202, 3126, 267, 799, 786, 1491, 1747, 593, 4266, 7389, 2630, 1063, 5130, 5025, 1440, 559, 269, 15012, 538, 593, 519, 1187, 540, 1565, 1018, 621, 3217, 547, 581, 606, 5140, 32529, 269, 10925, 707, 1983, 547, 519, 1449, 1282, 1142, 1362, 2336, 13202, 269, 476, 1240, 267, 14606, 543, 3281, 24031, 281, 5192, 519, 13897, 593, 519, 6886, 538, 1283, 3037, 267, 875, 547, 2087, 513, 4677, 779, 3037, 543, 1265, 856, 1018, 2371, 991, 547, 1332, 267, 7132, 1118, 513, 21431, 1753, 543, 1265, 856, 875, 547, 1376, 1753, 24600, 585, 707, 4677, 563, 15037, 269, 476, 272, 267, 24306, 281, 1133, 16225, 519, 1114, 2010, 540, 5072, 267, 875, 547, 3715, 513, 2635, 3597, 1062, 543, 1265, 856, 799, 2371, 723, 519, 27811, 5072, 267, 7132, 2263, 1018, 568, 3395, 538, 519, 15382, 302, 25052, 998, 2470, 22805, 563, 15037, 269, 476, 1428, 267, 25994, 281, 6226, 909, 1344, 827, 519, 1114, 2010, 540, 5452, 267, 875, 5452, 1020, 543, 875, 547, 1376, 5452, 540, 782, 5686, 693, 1753, 267, 7132, 1118, 513, 968, 23092, 10514, 892, 547, 1491, 1753, 563, 15037, 269, 476, 3066, 267, 853, 2114, 281, 3502, 13241, 267, 11710, 256, 9596, 827, 1114, 11710, 543, 9670, 11710, 899, 12277, 607, 1134, 607, 519, 3483, 543, 2694, 540, 11710, 267, 7132, 30164, 16853, 609, 20612, 543, 4677, 2609, 547, 1491, 1753, 563, 18550, 476, 2764, 267, 27817, 281, 6258, 827, 519, 2956, 540, 3762, 267, 741, 2694, 543, 3483, 267, 543, 1018, 3762, 723, 547, 798, 609, 1216, 6981, 267, 7132, 2263, 1114, 6978, 18282, 998, 6978, 6299, 321, 902, 563, 19688, 476, 275, 267, 26540, 281, 1703, 568, 811, 547, 5810, 982, 741, 1434, 5654, 2443, 2263, 519, 2185, 2694, 540, 513, 8768, 543, 1018, 789, 798, 267, 519, 2956, 540, 5810, 267, 7132, 946, 5810, 547, 1118, 513, 7206, 563, 19688, 476, 1240, 267, 22500, 281, 2353, 5810, 1118, 4829, 2443, 1451, 782, 827, 5613, 602, 10581, 267, 8038, 543, 6492, 1390, 267, 7132, 1711, 606, 1148, 4062, 689, 519, 4778, 538, 1585, 5613, 269, 0, 1103, 476, 1001, 277, 267, 519, 4639, 9098, 22694, 1155, 4735, 4705, 519, 1533, 779, 17888, 13230, 1876, 267, 799, 1305, 2628, 4441, 585, 4600, 593, 1857, 4070, 3785, 563, 763, 8247, 540, 17888, 13230, 4031, 729, 547, 2061, 891, 3785, 689, 7432, 883, 513, 5198, 547, 519, 5377, 267, 609, 856, 6361, 15581, 25255, 1527, 1746, 693, 519, 1857, 13258, 676, 896, 321, 27570, 2199, 4213, 543, 1104, 532, 1970, 13230, 267, 1970, 5578, 4600, 2978, 1681, 896, 22247, 2175, 563, 763, 2856, 585, 602, 2186, 540, 9086, 4769, 1406, 2097, 689, 513, 19619, 540, 4074, 18119, 269, 13298, 621, 729, 519, 2634, 18876, 540, 1079, 17044, 772, 2529, 269, 6845, 2209, 267, 6276, 808, 269, 16026, 540, 12425, 543, 7917, 700, 269, 32365, 540, 7043, 6816, 267, 1715, 3840, 563, 1103, 476, 4572, 278, 267, 32365, 729, 606, 13499, 547, 1451, 602, 606, 17665, 28079, 4465, 513, 19915, 547, 1628, 513, 25982, 779, 6413, 538, 1010, 8664, 267, 8744, 538, 14605, 5701, 4600, 547, 798, 519, 2816, 269, 769, 1010, 1913, 267, 789, 941, 968, 615, 4765, 5196, 713, 2816, 267, 789, 941, 24428, 538, 695, 2931, 267, 789, 941, 6976, 513, 1360, 1970, 13230, 267, 543, 3267, 621, 4667, 547, 803, 602, 519, 5313, 2229, 1058, 711, 4497, 538, 4070, 960, 538, 1022, 1533, 543, 24183, 519, 4074, 2175, 543, 519, 4074, 13848, 6976, 538, 602, 1533, 3034, 1103, 1010, 2070, 267, 4259, 12725, 1759, 13230, 4441, 585, 1857, 3785, 1131, 2327, 14619, 543, 1450, 2199, 543, 11397, 25255, 547, 14526, 585, 536, 1749, 593, 606, 3160, 4493, 563, 291, 32713, 5156, 602, 519, 2229, 1185, 513, 5539, 547, 968, 1260, 2952, 609, 519, 2199, 4441, 540, 13848, 543, 4074, 17888, 538, 519, 1327, 1275, 1141, 519, 2679, 4070, 568, 547, 1491, 1747, 3034, 19853, 9086, 267, 1634, 607, 519, 16026, 5174, 13154, 2920, 267, 729, 5293, 538, 18322, 538, 476, 4350, 272, 543, 2968, 519, 2203, 585, 1533, 17888, 13230, 4031, 267, 1519, 519, 835, 602, 1031, 547, 2149, 4639, 9098, 779, 4600, 543, 25255, 563, 302, 653, 7859, 540, 519, 9086, 267, 945, 267, 607, 2484, 607, 594, 666, 2995, 267, 616, 849, 17837, 540, 2324, 1004, 3622, 267, 11130, 602, 4735, 2718, 519, 9086, 1131, 4688, 27710, 16558, 2724, 563, 2690, 1383, 267, 14130, 16010, 9730, 30626, 30621, 2349, 1515, 267, 681, 5174, 518, 18403, 267, 11130, 693, 519, 942, 602, 968, 23719, 17888, 13230, 267, 596, 1223, 1628, 2947, 3506, 585, 519, 3902, 540, 1614, 1848, 1261, 849, 10645, 602, 519, 4735, 531, 1131, 4688, 519, 1533, 1269, 1220, 268, 4968, 2929, 12422, 563, 2252, 602, 2731, 5949, 267, 519, 1533, 1131, 723, 513, 5458, 6578, 21045, 269, 5502, 267, 519, 17294, 814, 10288, 1269, 1911, 2929, 538, 11912, 1813, 547, 513, 6578, 2110, 6420, 563, 4517, 519, 3427, 8490, 16958, 4080, 538, 476, 1001, 278, 602, 267, 1247, 4600, 685, 13848, 1185, 8854, 1524, 593, 1153, 3785, 2094, 4735, 2718, 17888, 13230, 267, 968, 1492, 2949, 1942, 540, 1153, 4070, 1281, 711, 2992, 513, 5786, 540, 2949, 4070, 3790, 593, 590, 10621, 3785, 693, 713, 942, 269, 2311, 713, 942, 519, 590, 10621, 568, 711, 16734, 606, 2949, 9806, 602, 1131, 1450, 585, 519, 4070, 540, 2048, 325, 633, 1007, 3506, 585, 519, 3902, 540, 1614, 16224, 607, 930, 723, 5892, 10645, 3034, 1432, 1705, 979, 1524, 941, 519, 10637, 14194, 3286, 539, 13848, 540, 15790, 550, 619, 267, 3167, 2103, 543, 5665, 8030, 563, 296, 1265, 621, 3226, 23892, 602, 4735, 2718, 17888, 13230, 4667, 547, 723, 4389, 519, 1297, 540, 7820, 4600, 538, 29095, 1222, 3292, 269, 769, 476, 1001, 277, 267, 972, 941, 936, 476, 276, 267, 6110, 3742, 29095, 269, 1635, 476, 1001, 279, 267, 602, 1297, 12628, 547, 476, 275, 267, 6110, 563, 6546, 779, 476, 272, 267, 1822, 7864, 1004, 2693, 547, 7118, 513, 2713, 13230, 609, 519, 5686, 540, 2640, 621, 3217, 547, 6318, 513, 1920, 609, 513, 4110, 540, 2804, 6617, 2443, 513, 1483, 2530, 547, 1082, 10010, 2950, 563, 310, 16017, 1869, 568, 519, 7771, 538, 11832, 3106, 269, 2201, 7308, 18191, 984, 4070, 7063, 2799, 676, 476, 2918, 2600, 2094, 4735, 531, 267, 2687, 547, 513, 1353, 689, 7812, 918, 1564, 599, 267, 9297, 7548, 693, 2160, 540, 16713, 11860, 12436, 4975, 267, 543, 7671, 2494, 15605, 267, 540, 519, 29268, 9483, 8889, 4659, 269, 634, 1353, 729, 20827, 676, 519, 10500, 559, 7007, 14716, 570, 10232, 543, 519, 4639, 9098, 3557, 8490, 570, 10232, 7027, 563, 6097, 547, 519, 1867, 267, 968, 21798, 338, 2404, 609, 1568, 924, 7063, 543, 606, 2949, 6175, 538, 11832, 7607, 723, 15558, 1022, 9806, 689, 2539, 4074, 3790, 267, 4611, 538, 1857, 1153, 4070, 3790, 602, 616, 711, 19250, 1114, 2094, 17888, 13230, 729, 4735, 4705, 267, 1256, 1310, 14577, 585, 10637, 3034, 10190, 972, 779, 519, 5734, 547, 2199, 4213, 269, 634, 6521, 689, 9769, 547, 1875, 10595, 542, 25255, 10888, 4070, 536, 1749, 10741, 519, 7450, 585, 513, 3677, 2671, 540, 856, 6361, 15581, 10909, 968, 704, 14127, 960, 593, 27710, 9707, 30845, 1153, 3785, 267, 543, 2921, 741, 15271, 1394, 609, 873, 547, 741, 1753, 2829, 2390, 1788, 12032, 3034, 12179, 1259, 596, 1413, 693, 621, 267, 4735, 2718, 938, 17888, 13230, 1876, 729, 513, 3983, 4308, 585, 4639, 7910, 2103, 269, 898, 779, 942, 585, 519, 22694, 1155, 547, 3768, 334, 519, 3441, 269, 0, 2690, 4892, 519, 2475, 3540, 2112, 729, 14042, 547, 21127, 543, 7980, 538, 2081, 1100, 2112, 2094, 814, 4299, 602, 4182, 269, 2755, 2663, 10617, 723, 5734, 824, 2477, 9875, 267, 585, 519, 2475, 476, 5908, 272, 268, 4792, 729, 676, 2484, 519, 1034, 15779, 4655, 538, 922, 1686, 269, 1809, 10617, 2141, 1860, 1114, 2516, 538, 1114, 2081, 267, 543, 899, 1034, 10617, 267, 519, 6406, 2782, 849, 6035, 3255, 281, 3255, 585, 7443, 267, 585, 18710, 267, 543, 585, 930, 267, 585, 519, 8323, 540, 30627, 563, 28846, 31217, 20122, 691, 630, 9264, 273, 268, 6642, 277, 264, 729, 519, 3791, 5067, 540, 606, 18211, 4531, 520, 267, 519, 23778, 540, 21207, 532, 5069, 28790, 269, 6145, 1082, 538, 1010, 2990, 267, 646, 8678, 519, 4108, 267, 4358, 513, 4876, 538, 519, 9576, 13108, 538, 476, 8146, 276, 269, 769, 713, 5736, 519, 3703, 26010, 1185, 513, 2027, 2686, 4567, 607, 519, 12325, 540, 519, 16486, 4577, 10617, 543, 519, 9718, 619, 540, 519, 10504, 779, 4105, 4123, 11507, 269, 1809, 3255, 585, 18710, 941, 4881, 2110, 585, 1079, 4128, 281, 519, 26010, 779, 2518, 29686, 1500, 2101, 12959, 12691, 267, 543, 782, 540, 519, 15798, 543, 12084, 3544, 540, 519, 8701, 4525, 1185, 1044, 25528, 269, 4634, 519, 1034, 16805, 10492, 1223, 711, 10956, 18279, 13648, 779, 7518, 1080, 267, 1317, 13648, 543, 1010, 9905, 538, 519, 22733, 2540, 1185 ]

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

[ 5609, 1535, 15848, 269, 1924, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 476, 272, 16009, 1535, 15848, 815, 15848, 815, 6567, 5918, 5430, 1535, 579, 1547, 1547, 1547, 1547, 1547, 4586, 3374, 269, 476, 3374, 269, 589, 521, 5585, 1383, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 269, 1924, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 476, 272, 16009, 1535, 15848, 815, 15848, 815, 6567, 5918, 5430, 1535, 579, 815, 6567, 23692, 1923, 340, 347, 1341, 595, 1547, 1547, 1547, 1547, 1547, 4586, 3607, 269, 476, 3607, 269, 589, 521, 5585, 1383, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 269, 1924, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 476, 272, 16009, 1535, 15848, 815, 15848, 815, 6567, 5918, 5430, 1535, 579, 815, 6567, 23692, 1923, 340, 347, 1341, 595, 815, 6567, 23692, 1923, 5430, 1535, 347, 1341, 595, 815, 23692, 1923, 3813, 1535, 347, 1341, 595, 1547, 1547, 1547, 1547, 1547, 4586, 4391, 269, 476, 4391, 269, 2052, 596, 798, 621, 1776, 1259, 286, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 1547, 1547, 1547, 1547, 1547, 4586, 4343, 269, 476, 4343, 269, 2052, 596, 798, 621, 1776, 1259, 286, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 5918, 2913, 579, 815, 5609, 1535, 269, 3973, 5918, 815, 5430, 1535, 15848, 543, 865, 15848, 815, 1547, 5430, 1535, 1547, 1547, 1547, 1547, 1547, 4586, 4375, 269, 476, 4375, 269, 2052, 596, 798, 621, 1776, 1259, 286, 7151, 3980, 360, 5609, 1535, 4855, 16009, 1535, 15848, 269, 630, 295, 842, 281, 16009, 1535, 815, 3738, 5430, 1535, 8827, 5918, 2913, 579, 815, 5609, 1535, 269, 3973, 5918, 815, 5430, 1535, 15848, 543, 865, 15848, 815, 1547, 5430, 1535, 3980, 360, 3980, 360, 3980, 360, 5609, 1535, 579, 5918, 16009, 1535, 15848, 815, 15848, 815, 5430, 1535, 5430, 1535, 5430, 1535, 3980, 360, 3980, 360, 3980, 360, 579, 5918, 579, 5918, 579, 5918, 815, 815, 476, 273, 815, 5430, 273, 1535, 476, 272, 6567, 5609, 1535, 476, 272, 6567, 579, 273, 2311, 713, 1448, 267, 4352, 621, 779, 2009, 547, 8399, 267, 649, 1058, 4440, 1394, 909, 543, 1294, 952, 519, 824, 1259, 1568, 18334, 630, 527, 1281, 1040, 1547, 1547, 1547, 1547, 1547, 4586, 2412, 269, 476, 2412, 269, 1280, 1346, 945, 2731, 1590, 917, 782, 8827, 630, 16676, 4240, 267, 609, 7223, 948, 264, 3980, 360, 3980, 360, 3980, 360, 630, 3738, 579, 5918, 476, 272, 476, 272, 476, 272, 16009, 1535, 15848, 815, 815, 6567, 5918, 476, 272, 6567, 579, 273, 476, 273, 476, 272, 6629, 340, 476, 272, 266, 340, 476, 272, 476, 272, 815, 6567, 23692, 1923, 272, 6567, 579, 347, 6567, 23692, 1923, 272, 1341, 579, 347, 1341, 595, 476, 273, 476, 273, 476, 272, 476, 272, 815, 23692, 20734, 1341, 595, 815, 23692, 20734, 1341, 290, 630, 272, 6567, 579, 7565, 272, 1341, 579, 264, 476, 272, 6567, 579, 273, 476, 272, 815, 23692, 1341, 595, 815, 23692, 1923, 5913, 1535, 347, 1341, 595, 1923, 6523, 1535, 347, 1547, 1547, 1547, 1547, 1547, 4586, 6078, 269, 476, 6078, 269, 20895, 7831, 5384, 281, 634, 27284, 14497, 4433, 264, 540, 20145, 15240, 3191, 585, 1473, 324, 16667, 333, 924, 6715, 23552, 7869, 6201, 15240, 3191, 585, 1546, 16667, 333, 924, 6715, 23552, 7869, 6201, 1547, 1547, 1547, 1547, 1547, 4586, 5655, 269, 476, 5655, 269, 14497, 630, 763, 15240, 3191, 14329, 585, 1546, 16667, 333, 924, 6715, 23552, 264, 1403, 575, 12664, 568, 6024, 543, 535, 568, 6024, 593, 519, 2039, 540, 579, 815, 575, 3287, 1070, 1287, 3980, 360, 3980, 360, 536, 575, 6357, 264, 535, 14116, 3287, 4297, 326, 12664, 630, 343, 264, 15848, 815, 535, 26086, 264, 5918, 269, 513, 575, 630, 320, 3738, 1547, 1547, 1547, 1547, 1547, 4586, 6246, 269, 476, 6246, 269, 14497, 630, 763, 15240, 3191, 14329, 585, 1546, 16667, 333, 924, 6715, 23552, 264, 1403, 575, 12664, 568, 6024, 543, 535, 568, 6024, 593, 519, 2039, 540, 579, 815, 575, 3287, 1070, 1287, 3980, 360, 3980, 360, 536, 575, 6357, 264, 535, 14116, 3287, 4297, 326, 12664, 630, 343, 264, 15848, 815, 535, 26086, 264, 5918, 269, 513, 575, 630, 320, 3738, 4208, 519, 1689, 538, 519, 7182, 286, 634, 7533, 593, 519, 2451, 4523, 538, 968, 343, 268, 1633, 892, 634, 7533, 593, 519, 1318, 4523, 538, 968, 340, 268, 1633, 5608, 865, 519, 7182, 991, 547, 581, 579, 268, 11161, 1677, 1205, 689, 1535, 547, 579, 267, 4019, 575, 1547, 1547, 1547, 1547, 1547, 4586, 4510, 269, 476, 4510, 269, 7151, 3980, 360, 12631, 30770, 5430, 273, 1535, 5609, 1535, 15848, 269, 476, 271, 1547, 1547, 1547, 1547, 1547, 4586, 3393, 269, 476, 3393, 269, 7151, 3980, 360, 12631, 30770, 5430, 273, 1535, 5609, 1535, 15848, 269, 476, 271, 8827, 630, 306, 869, 10158, 264, 3980, 360, 3689, 12337, 519, 967, 324, 16667, 333, 924, 7533, 5430, 273, 1535, 5609, 1535, 15848, 543, 1287, 6218, 269, 1547, 1547, 1547, 1547, 1547, 4586, 5379, 269, 476, 5379, 269, 7151, 3980, 360, 12631, 30770, 5430, 273, 1535, 5609, 1535, 15848, 269, 476, 271, 8827, 630, 306, 869, 10158, 264, 3980, 360, 3689, 12337, 519, 967, 324, 16667, 333, 924, 7533, 5430, 273, 1535, 5609, 1535, 15848, 543, 1287, 6218, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 543, 3980, 360, 3980, 360, 5430, 1535, 5609, 1535, 15848, 815, 6567, 579, 273, 5918, 476, 273, 815, 6567, 476, 272, 579, 274, 1341, 595, 815, 6567, 476, 272, 5430, 274, 1535, 1341, 595, 269, 476, 274, 476, 274, 4475, 3980, 360, 12631, 476, 272, 12631, 476, 272, 263, 3738, 476, 273, 5430, 273, 1535, 5609, 1535, 15848, 815, 6567, 5430, 274, 1535, 815, 6629, 630, 6629, 272, 264, 274, 6567, 476, 1724, 815, 1547, 476, 271, 476, 274, 476, 271, 476, 274, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 5325, 269, 476, 5325, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 1547, 1547, 1547, 1547, 1547, 4586, 4366, 269, 476, 4366, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 267, 579, 263, 271, 264, 815, 476, 272, 543, 579, 263, 11027, 264, 815, 6567, 272, 269, 1547, 1547, 1547, 1547, 1547, 4586, 5392, 269, 476, 5392, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 267, 579, 263, 271, 264, 815, 476, 272, 543, 579, 263, 11027, 264, 815, 6567, 272, 269, 1924, 3980, 360, 12631, 3980, 360, 6567, 272, 5430, 273, 1535, 5609, 1535, 15848, 815, 6567, 340, 273, 5918, 476, 271, 476, 272, 3980, 360, 476, 272, 815, 579, 273, 5918, 6567, 272, 476, 272, 476, 272, 476, 272, 263, 3738, 476, 273, 815, 579, 274, 815, 476, 272, 6567, 630, 6629, 272, 264, 815, 476, 274, 6567, 272, 476, 274, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 2004, 269, 476, 2004, 269, 8827, 630, 24137, 10158, 264, 1684, 1312, 519, 18839, 543, 519, 6268, 693, 519, 1482, 942, 269, 2913, 579, 815, 5430, 1535, 269, 3973, 5918, 815, 6567, 5609, 1535, 15848, 267, 579, 263, 271, 264, 815, 476, 272, 543, 579, 263, 11027, 264, 815, 6567, 272, 269, 1924, 3980, 360, 12631, 3980, 360, 6567, 272, 5430, 273, 1535, 5609, 1535, 15848, 815, 6567, 340, 273, 5918, 476, 271, 476, 272, 3980, 360, 476, 272, 815, 579, 273, 5918, 6567, 272, 476, 272, 476, 272, 476, 272, 263, 3738, 476, 273, 815, 579, 274, 815, 476, 272, 6567, 630, 6629, 272, 264, 815, 476, 274, 6567, 272, 476, 274, 476, 274, 634, 5413, 547, 519, 968, 9724, 1259, 892, 568, 602, 596, 4625, 2981, 519, 7533, 883, 1945, 12863, 543, 1810, 1406, 723, 547, 979, 1394, 547, 519, 3312, 1535, 4756, 269, 1809, 519, 3500, 1259, 568, 1175, 607, 6325, 269, 1547, 1547, 1547, 1547, 1547, 4586, 7906, 269, 476, 7906, 269, 1323, 12825, 1383, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 7367, 269, 476, 7367, 269, 1323, 12825, 1383, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 2073, 865, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 1284, 723, 3980, 360, 20734, 3980, 360, 23692, 476, 279, 20734, 476, 272, 476, 279, 18414, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 815, 579, 1341, 476, 272, 5918, 23692, 476, 274, 476, 273, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 7871, 269, 476, 7871, 269, 1323, 12825, 1383, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 2073, 865, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 1284, 723, 3980, 360, 20734, 3980, 360, 23692, 476, 279, 20734, 476, 272, 476, 279, 18414, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 815, 579, 1341, 476, 272, 5918, 23692, 476, 274, 476, 273, 476, 274, 3767, 1577, 586, 815, 579, 1341, 476, 272, 267, 10085, 815, 5918, 269, 1924, 3980, 360, 476, 279, 18414, 3980, 360, 476, 280, 3980, 360, 476, 280, 476, 272, 476, 272, 20734, 476, 272, 579, 1341, 476, 272, 5918, 815, 586, 10085, 815, 586, 272, 270, 273, 10085, 476, 273, 476, 274, 476, 273, 476, 275, 476, 273, 476, 275, 476, 280, 476, 272, 476, 273, 476, 272, 476, 866, 815, 5788, 586, 274, 270, 273, 815, 630, 2767, 6567, 476, 279, 264, 815, 476, 273, 476, 274, 476, 275, 476, 274, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 7918, 269, 476, 7918, 269, 6168, 1346, 7182, 20734, 20734, 476, 273, 552, 273, 10857, 333, 476, 274, 264, 815, 1714, 333, 476, 274, 815, 1714, 333, 476, 274, 815, 476, 274, 1547, 1547, 1547, 1547, 1547, 4586, 4649, 269, 476, 4649, 269, 6168, 1346, 27847, 7060, 476, 11152, 270, 273, 815, 630, 11011, 270, 273, 3738, 274, 815, 476, 3451, 815, 476, 2767, 476, 6246, 270, 273, 815, 630, 6078, 270, 273, 3738, 274, 815, 476, 2537, 815, 476, 279, 1547, 1547, 1547, 1547, 1547, 4586, 6321, 269, 476, 6321, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 1341, 476, 272, 1547, 1547, 1547, 1547, 1547, 4586, 6872, 269, 476, 6872, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 1341, 476, 272, 267, 865, 602, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 1547, 1547, 1547, 1547, 1547, 4586, 6812, 269, 476, 6812, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414, 3980, 360, 23692, 476, 279, 20734, 4855, 20734, 552, 273, 343, 552, 273, 343, 1341, 476, 272, 15848, 23692, 476, 274, 8827, 2913, 579, 815, 552, 273, 343, 1341, 476, 272, 267, 865, 602, 5918, 815, 476, 273, 324, 273, 343, 15848, 269, 3973, 3980, 360, 20734, 3980, 360, 23692, 476, 279, 20734, 476, 272, 476, 280, 18414, 476, 273, 343, 20734, 552, 552, 273, 343, 1341, 476, 272, 15848, 815, 579, 5918, 23692, 476, 274, 476, 273, 476, 275, 1547, 1547, 1547, 1547, 1547, 4586, 6795, 269, 476, 6795, 269, 6271, 1259, 547, 2960, 602, 3032, 7151, 18414 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4399, 28235, 346, 3722, 20954, 6606, 267, 1141, 519, 1957, 568, 25649, 780, 4131, 1269, 343, 815, 22680, 269, 259, 476, 3973, 1269, 5183, 815, 13698, 262, 815, 476, 1321, 910, 1535, 267, 259, 865, 676, 519, 4521, 540, 15328, 1149, 593, 6906, 1269, 303, 10621, 262, 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, 6092, 5149, 281, 634, 674, 12574, 700, 687, 540, 519, 4210, 1695, 8270, 11076, 543, 741, 8836, 19043, 538, 5101, 3979, 9085, 692, 296, 269, 4985, 692, 24145, 1155, 1419, 9356, 519, 2418, 267, 4978, 267, 543, 2067, 1604, 540, 513, 1880, 2528, 269, 769, 5101, 3979, 3332, 267, 2523, 2059, 519, 4210, 1695, 8270, 5032, 267, 21495, 723, 4371, 1390, 4644, 543, 616, 7184, 18955, 883, 519, 3148, 781, 5711, 543, 2854, 5389, 269, 901, 1576, 1770, 786, 2263, 519, 2956, 540, 21495, 538, 4210, 1695, 8270, 9381, 2528, 267, 5373, 4296, 1063, 3140, 6589, 267, 5339, 11269, 267, 543, 4207, 5726, 3646, 269, 1284, 786, 1445, 593, 519, 17255, 834, 289, 16808, 776, 21495, 257, 540, 3345, 4000, 543, 4983, 741, 10083, 547, 519, 535, 12574, 21495, 540, 519, 4210, 1695, 8270, 5032, 780, 2862, 269, 8466, 32439, 540, 700, 687, 538, 4210, 1695, 8270, 26066, 9177, 692, 30399, 267, 21495, 5129, 513, 2629, 1909, 538, 5935, 519, 1514, 543, 2797, 5251, 540, 519, 4210, 1695, 8270, 5032, 269, 1358, 6039, 607, 6698, 540, 1379, 267, 22838, 267, 543, 28370, 269, 9147, 4210, 1695, 8270, 2749, 32145, 899, 18741, 11445, 267, 631, 4861, 14505, 267, 543, 2098, 11961, 756, 541, 12286, 17794, 11052, 538, 741, 6189, 543, 11247, 267, 1129, 4328, 519, 7068, 262, 5289, 543, 12572, 2956, 630, 6781, 2426, 340, 1299, 2806, 2426, 340, 267, 476, 1960, 277, 1040, 5047, 267, 4210, 1695, 8270, 12563, 2145, 525, 543, 17691, 4749, 4183, 21495, 607, 3844, 3197, 267, 10771, 741, 2686, 4644, 780, 7656, 269, 16520, 11724, 725, 540, 700, 687, 538, 4210, 1695, 8270, 9085, 692, 18933, 1695, 8270, 3332, 3091, 3638, 26007, 540, 21495, 543, 741, 5107, 1369, 2486, 269, 7313, 1115, 543, 1650, 339, 25527, 6964, 23199, 543, 14336, 1559, 10704, 1472, 891, 23836, 581, 6814, 547, 6655, 1950, 2093, 827, 1379, 6384, 267, 13919, 267, 543, 3961, 269, 1280, 3236, 267, 519, 4583, 4210, 1695, 8270, 12473, 6648, 1325, 24493, 330, 880, 2378, 328, 18271, 17794, 11052, 547, 9414, 4798, 540, 10100, 267, 5718, 267, 543, 519, 3666, 1063, 8103, 543, 2470, 630, 295, 677, 517, 1299, 5664, 2023, 267, 476, 1220, 271, 1040, 1635, 6313, 971, 5931, 267, 649, 2744, 3407, 5813, 883, 875, 4210, 1695, 8270, 2950, 6956, 543, 12595, 21495, 2429, 1686, 780, 4353, 269, 3474, 4150, 3149, 9737, 15016, 776, 700, 687, 543, 4210, 1695, 8270, 26066, 700, 687, 692, 15987, 32321, 11397, 267, 519, 15016, 776, 21495, 540, 3345, 4000, 3838, 1896, 4162, 609, 519, 21495, 540, 519, 4210, 1695, 8270, 5032, 269, 5637, 28849, 20948, 3309, 8916, 543, 2170, 539, 5702, 609, 1480, 5095, 269, 3958, 267, 1312, 941, 9228, 607, 3532, 6698, 17709, 540, 27527, 543, 4027, 269, 1306, 649, 2015, 519, 1761, 32543, 3174, 540, 15016, 776, 21495, 547, 519, 25304, 15142, 267, 10452, 593, 519, 3140, 2078, 1063, 3425, 543, 21495, 2059, 519, 4210, 1695, 8270, 5032, 666, 2709, 3407, 4245, 538, 30398, 543, 5726, 780, 309, 269, 12634, 11094, 27557, 543, 22627, 547, 4210, 1695, 8270, 26066, 9177, 692, 9213, 267, 17794, 5095, 3068, 3875, 6937, 267, 1519, 7226, 2530, 267, 1480, 2914, 843, 5158, 4655, 267, 543, 2916, 1689, 269, 1717, 267, 2487, 7636, 4719, 1382, 2488, 4126, 585, 519, 11091, 540, 2322, 894, 18939, 540, 519, 15016, 776, 17794, 538, 24811, 630, 289, 1068, 7637, 1696, 620, 1421, 476, 1001, 279, 1040, 1452, 4681, 20838, 519, 2956, 540, 4797, 5726, 3646, 6322, 693, 7863, 13155, 17794, 5095, 543, 4509, 9265, 269, 5015, 267, 9301, 519, 2620, 2686, 13218, 1063, 3425, 543, 21495, 2059, 519, 4210, 1695, 8270, 5032, 7512, 721, 547, 15260, 612, 938, 9021, 2509, 891, 15999, 7068, 543, 960, 2509, 5807, 18900, 3347, 1063, 1004, 543, 7320, 780, 9654, 269, 10390, 692, 3528, 3695, 519, 3140, 543, 2686, 4644, 540, 21495, 538, 4210, 1695, 8270, 9381, 3332, 267, 713, 1576, 1770, 8711, 519, 4105, 991, 585, 5571, 5726, 7341, 269, 3414, 2502, 609, 6386, 10023, 891, 11599, 7068, 267, 649, 666, 1732, 1174, 519, 1871, 5116, 2390, 873, 676, 2250, 7239, 543, 4019, 1346, 4245, 547, 2413, 6377, 2591, 269, 11086, 267, 19825, 519, 7096, 1764, 540, 21495, 593, 5101, 3979, 3332, 5713, 607, 513, 1289, 547, 2962, 267, 28409, 721, 547, 8190, 891, 7415, 7919, 543, 2327, 741, 6668, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 12694, 543, 25684, 540, 10289, 519, 21834, 540, 3345, 4000, 779, 968, 289, 16808, 776, 23193, 892, 543, 519, 11094, 540, 10925, 894, 2677, 25728, 1218, 538, 12650, 2032, 454, 763, 21495, 540, 3345, 4000, 941, 2189, 538, 8733, 2474, 607, 1134, 607, 689, 513, 1480, 2686, 5133, 543, 941, 519, 17046, 21495, 540, 4936, 543, 19744, 2342, 269, 6997, 8215, 968, 289, 16808, 776, 892, 21495, 267, 789, 941, 2899, 3875, 538, 3345, 4000, 855, 941, 608, 32558, 730, 676, 519, 4571, 268, 736, 628, 2540, 269, 6736, 7766, 23979, 540, 519, 25304, 13738, 5117, 998, 1480, 12503, 267, 519, 23250, 540, 17794, 32543, 3174, 814, 1044, 23503, 2094, 519, 476, 3192, 271, 338, 269, 3194, 593, 519, 1279, 28004, 27604, 17794, 4015, 12926, 6854, 676, 519, 521, 738, 753, 543, 15438, 540, 25448, 814, 13087, 16496, 9960, 20291, 2066, 21185, 4754, 543, 3864, 18186, 657, 5473, 513, 1713, 1297, 540, 2831, 269, 17449, 4719, 1382, 814, 5063, 3177, 4030, 883, 17794, 18105, 4094, 344, 799, 267, 5103, 3105, 10372, 602, 782, 21495, 2671, 2487, 1455, 22693, 267, 1631, 6920, 2312, 1253, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 2622, 9085, 1315, 4000, 1315, 5101, 4000, 1315, 4210, 1695, 8270, 26066, 9177, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 1360, 1101, 1016, 15492, 538, 3203, 3778, 538, 519, 3689, 12287, 256, 1284, 2811, 9599, 547, 1376, 713, 3460, 609, 596, 607, 649, 2263, 875, 5159, 2995, 741, 1378, 2984, 998, 741, 11247, 269, 769, 713, 1016, 15492, 267, 649, 3513, 1451, 827, 1018, 621, 1797, 547, 2328, 1148, 1686, 538, 519, 1101, 1268, 269, 1924, 10544, 707, 5862, 1962, 16640, 543, 1577, 781, 4685, 1318, 538, 2439, 2691, 649, 2911, 827, 1148, 1686, 267, 649, 1419, 1589, 540, 4583, 10367, 543, 18810, 689, 7366, 540, 1296, 3516, 269, 1809, 3297, 1169, 4062, 540, 1148, 267, 972, 781, 513, 1650, 7996, 547, 581, 5143, 269, 1656, 945, 1732, 547, 2995, 1346, 2984, 982, 519, 5159, 2933, 286, 2334, 781, 1141, 519, 1101, 1268, 2501, 538, 780, 16240, 1148, 1686, 538, 519, 1101, 1268, 1797, 602, 519, 7376, 568, 4687, 741, 4555, 267, 4606, 267, 543, 2833, 2047, 609, 721, 269, 898, 781, 899, 6217, 513, 1650, 2786, 689, 519, 7504, 781, 5023, 256, 901, 1259, 267, 649, 666, 1205, 547, 917, 519, 7376, 593, 513, 811, 2123, 1377, 543, 1174, 741, 18144, 543, 4943, 725, 3297, 1142, 20100, 780, 4131, 781, 1413, 693, 930, 1806, 547, 1118, 713, 20501, 269, 5994, 596, 2811, 3168, 693, 513, 4190, 5251, 7206, 540, 513, 12902, 3039, 15113, 728, 609, 513, 6505, 4544, 6607, 16841, 269, 1403, 649, 941, 1603, 1148, 1686, 538, 519, 3791, 1268, 267, 649, 1522, 2161, 1945, 899, 267, 834, 1607, 7206, 20186, 513, 32668, 24781, 6429, 1701, 1809, 950, 649, 2328, 621, 538, 519, 1101, 1268, 267, 519, 7376, 666, 2671, 741, 1378, 5133, 269, 1358, 1522, 2161, 267, 834, 296, 13556, 713, 4605, 1310, 7836, 513, 12560, 12784, 6972, 998, 519, 15113, 2282, 1250, 1753, 269, 594, 4941, 547, 7001, 519, 4743, 540, 22471, 1006, 543, 5191, 602, 594, 5433, 538, 602, 4090, 1701, 6423, 519, 3017, 286, 634, 1101, 1268, 3947, 721, 513, 19214, 883, 519, 7376, 781, 2247, 543, 2295, 780, 2080, 781, 1776, 1383, 269, 2913, 781, 2161, 596, 2097, 2066, 513, 11495, 17855, 540, 513, 4807, 609, 22815, 1424, 4064, 543, 513, 5462, 4082, 269, 589, 3791, 16512, 6609, 1522, 1224, 267, 834, 763, 1641, 540, 713, 17855, 5526, 8746, 543, 2178, 1701, 1809, 538, 519, 1101, 1268, 267, 519, 7376, 1223, 7866, 267, 834, 296, 13556, 713, 17855, 540, 1250, 20516, 1317, 1352, 729, 835, 540, 519, 2909, 4034, 1004, 594, 2479, 6785, 269, 2701, 15068, 1079, 1158, 10617, 543, 6659, 8370, 1453, 593, 1200, 1378, 269, 4173, 4222, 6273, 803, 267, 543, 594, 4941, 547, 8956, 1200, 9371, 998, 1250, 1148, 1701, 3767, 3085, 1405, 602, 2285, 596, 513, 4514, 7071, 585, 519, 11247, 2496, 2026, 596, 666, 1294, 267, 1603, 1148, 1686, 538, 519, 1101, 1268, 2636, 721, 547, 1921, 609, 519, 7376, 593, 513, 1454, 811, 15982, 1377, 269, 1635, 1210, 741, 1378, 9739, 267, 789, 666, 2769, 741, 2189, 5380, 543, 4664, 538, 513, 1259, 602, 6770, 741, 11247, 547, 1272, 780, 3383, 1631, 602, 596, 1174, 1018, 621, 1797, 547, 2328, 1148, 1686, 538, 519, 1101, 1268, 267, 621, 781, 942, 547, 2322, 707, 1702, 883, 2259, 256, 6733, 1472, 596, 543, 1265, 513, 4062, 540, 1148, 602, 14753, 547, 596, 269, 898, 1223, 581, 4376, 689, 513, 7206, 538, 513, 9754, 547, 513, 544, 1116, 593, 513, 2749, 8265, 269, 3973, 2119, 547, 4952, 1018, 519, 7376, 1522, 723, 1044, 3206, 610, 4743, 950, 789, 2813, 621, 269, 5457, 547, 946, 519, 1101, 1268, 543, 1577, 707, 9345, 2196, 3552, 256, 5808, 6487, 267, 596, 1522, 1175, 3605, 513, 6456, 17576, 538, 10750, 8289, 269, 8414, 3695, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 9209, 3778, 538, 519, 3689, 12287, 834, 5497, 585, 1762, 1453, 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, 9502, 540, 519, 1101, 1268, 5639, 538, 1148, 1686, 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, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 3848, 476, 277, 281, 13067, 22785, 543, 3690 ]

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

[ 1797, 621, 3884, 1405, 2189, 693, 782, 267, 855, 782, 519, 1919, 17598, 519, 2783, 616, 568, 25806, 780, 1607, 3668, 540, 8856, 568, 835, 540, 519, 1034, 2352, 1919, 547, 6023, 950, 2679, 5752, 3631, 281, 621, 1797, 649, 723, 1082, 5079, 540, 6041, 543, 3069, 3762, 621, 1930, 799, 3283, 547, 3442, 269, 0, 1012, 9612, 1336, 476, 25172, 273, 13292, 692, 2971, 1703, 941, 3230, 337, 2330, 2699, 11084, 543, 3230, 344, 2330, 5835, 11084, 538, 513, 9126, 780, 30607, 9046, 14572, 692, 2171, 723, 586, 266, 275, 5835, 11084, 543, 678, 266, 274, 2699, 11084, 267, 543, 678, 20742, 266, 278, 11084, 538, 2698, 269, 1924, 519, 5506, 540, 16116, 267, 609, 10682, 267, 1101, 513, 5835, 1287, 513, 2699, 3440, 786, 581, 630, 344, 266, 275, 19422, 337, 20742, 266, 278, 264, 2608, 630, 337, 266, 274, 19422, 337, 20742, 266, 278, 1070, 799, 568, 2626, 589, 780, 2421, 27950, 26791, 692, 26422, 4119, 476, 1839, 267, 476, 1001, 280, 476, 279, 281, 1240, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 1703, 941, 3230, 337, 2330, 2699, 11084, 543, 3230, 344, 2330, 5835, 11084, 538, 513, 9126, 563, 28806, 281, 476, 274, 454, 21366, 281, 476, 25838, 692, 2971, 2806, 580, 841, 568, 476, 275, 2053, 607, 2025, 607, 12844, 22448, 269, 769, 476, 277, 1296, 267, 12844, 22448, 786, 692, 30607, 9046, 14572, 692, 6781, 580, 841, 786, 581, 476, 3607, 538, 2185, 1296, 267, 865, 2806, 580, 841, 568, 476, 3953, 269, 2701, 568, 476, 275, 2053, 607, 2025, 607, 12844, 22448, 267, 865, 12844, 22448, 568, 476, 279, 269, 769, 3670, 1296, 267, 12844, 22448, 786, 581, 476, 1691, 267, 543, 786, 581, 7466, 607, 2025, 607, 15443, 823, 267, 865, 538, 3670, 1296, 267, 15443, 823, 786, 581, 476, 278, 267, 799, 568, 1018, 519, 2243, 4280, 721, 547, 1265, 780, 2421, 27950, 26791, 692, 26422, 4119, 476, 1839, 267, 476, 1001, 280, 476, 279, 281, 1724, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 2806, 580, 841, 568, 476, 275, 2053, 607, 2025, 607, 12844, 22448, 269, 769, 476, 277, 1296, 267, 12844, 22448, 786, 454, 28806, 281, 476, 274, 454, 21366, 281, 476, 18597, 692, 2971, 589, 16741, 666, 581, 19632, 689, 2016, 5079, 267, 609, 5561, 28847, 30607, 9046, 14572, 692, 2005, 781, 711, 2312, 1018, 519, 2243, 568, 6998, 910, 1281, 519, 6075, 723, 519, 4781, 547, 522, 2466, 2901, 547, 25940, 610, 10381, 267, 610, 666, 1352, 522, 2466, 1312, 286, 1215, 1082, 547, 25940, 616, 4847, 593, 513, 16741, 286, 9122, 593, 519, 2626, 5079, 267, 594, 666, 7058, 1018, 789, 20053, 281, 513, 6075, 666, 4584, 835, 12933, 267, 835, 10381, 267, 543, 835, 547, 6137, 267, 855, 13718, 2421, 27950, 26791, 692, 25823, 4119, 476, 2190, 267, 476, 1001, 280, 476, 278, 281, 2412, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 589, 16741, 666, 581, 19632, 689, 2016, 5079, 267, 609, 5561, 7055, 28806, 281, 476, 275, 454, 21366, 281, 476, 27840, 692, 2971, 589, 1065, 22780, 568, 513, 2318, 8870, 602, 3568, 1152, 519, 7857, 692, 30607, 4578, 2672, 11797, 692, 2252, 1169, 7857, 540, 678, 568, 476, 272, 267, 1287, 519, 1297, 540, 9704, 540, 678, 786, 581, 3160, 547, 519, 2040, 540, 519, 9704, 540, 678, 269, 1403, 267, 607, 15048, 476, 272, 6645, 721, 267, 519, 1297, 540, 9704, 540, 678, 568, 513, 2789, 540, 476, 274, 267, 1287, 519, 2040, 540, 678, 781, 9704, 568, 513, 2789, 540, 476, 274, 267, 543, 678, 568, 16883, 676, 476, 274, 269, 4595, 678, 568, 711, 3160, 547, 476, 274, 267, 678, 3112, 581, 6305, 267, 543, 590, 13718, 2421, 27950, 26791, 692, 25823, 4119, 476, 2190, 267, 476, 1001, 280, 476, 278, 281, 2764, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 589, 1065, 22780, 568, 513, 2318, 8870, 602, 3568, 1152, 519, 7857, 454, 28806, 281, 476, 273, 454, 21366, 281, 476, 23470, 692, 2971, 1403, 1535, 543, 586, 616, 9981, 267, 568, 1535, 1341, 586, 1256, 286, 630, 272, 264, 1535, 1341, 476, 273, 344, 568, 9642, 780, 30607, 4578, 2672, 11797, 692, 297, 599, 287, 10048, 21908, 18800, 5206, 281, 630, 272, 264, 1535, 1341, 476, 273, 344, 568, 9642, 780, 272, 269, 4595, 476, 273, 344, 568, 9642, 28000, 540, 2436, 586, 568, 1256, 543, 9642, 454, 1103, 2013, 713, 568, 14845, 585, 4896, 2542, 267, 594, 6415, 2386, 713, 568, 5921, 547, 2161, 834, 7712, 476, 273, 344, 568, 1256, 28000, 540, 2436, 586, 568, 1256, 610, 9642, 6231, 2421, 27950, 26791, 692, 293, 686, 4119, 476, 2537, 267, 476, 1001, 280, 476, 277, 281, 3451, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 1403, 1535, 543, 586, 616, 9981, 267, 568, 1535, 1341, 586, 1256, 286, 630, 272, 264, 1535, 1341, 476, 273, 344, 568, 9642, 563, 28806, 281, 476, 273, 454, 21366, 281, 476, 29574, 692, 2971, 20640, 1769, 15620, 22921, 476, 272, 998, 476, 279, 616, 11231, 538, 513, 692, 30607, 9046, 14572, 692, 21446, 8271, 267, 952, 649, 1577, 519, 15620, 8755, 11014, 267, 649, 3513, 4783, 998, 782, 5216, 2338, 267, 1287, 519, 4806, 786, 1376, 547, 10956, 269, 1924, 519, 2063, 1297, 649, 9364, 1205, 538, 602, 4783, 1354, 3478, 1394, 547, 834, 272, 257, 1590, 581, 1614, 2338, 1354, 834, 272, 257, 538, 519, 5858, 267, 543, 3976, 1590, 581, 834, 277, 6231, 2421, 27950, 26791, 692, 1320, 340, 4119, 476, 2420, 267, 476, 1001, 280, 476, 276, 281, 4366, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 20640, 1769, 15620, 22921, 476, 272, 998, 476, 279, 616, 11231, 538, 513, 454, 28806, 281, 476, 275, 454, 21366, 281, 476, 28510, 692, 2971, 769, 519, 3230, 15383, 268, 2330, 30350, 267, 1448, 3230, 302, 2330, 568, 4092, 693, 519, 5169, 10484, 30607, 4578, 2672, 11797, 692, 1607, 568, 1175, 606, 17071, 5299, 540, 606, 4013, 2243, 630, 514, 2536, 1640, 1317, 621, 3085, 1405, 1331, 513, 6516, 267, 799, 519, 17918, 1131, 1331, 267, 543, 1317, 621, 781, 991, 8393, 2262, 344, 264, 23241, 10059, 2517, 326, 3901, 743, 889, 2593, 270, 1721, 636, 30032, 7308, 3146, 551, 320, 3267, 476, 23310, 10844, 11258, 692, 2421, 27950, 26791, 692, 26607, 4119, 476, 2641, 267, 476, 1001, 280, 476, 278, 281, 6734, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 769, 519, 3230, 15383, 268, 2330, 30350, 267, 1448, 3230, 302, 2330, 568, 4092, 693, 519, 5169, 2676, 28806, 281, 476, 273, 454, 21366, 281, 476, 26631, 692, 2971, 2311, 476, 279, 600, 593, 13628, 267, 1079, 4600, 267, 589, 543, 645, 267, 1142, 1376, 2324, 692, 30607, 9046, 14572, 692, 13356, 5317, 3388, 267, 11832, 645, 2306, 513, 17689, 538, 476, 1626, 3108, 267, 543, 11832, 589, 2306, 513, 17689, 538, 12341, 1063, 476, 279, 543, 476, 1321, 3108, 269, 1284, 3513, 1265, 519, 5934, 942, 621, 1522, 1491, 873, 1927, 952, 649, 8263, 589, 3217, 4010, 476, 279, 3108, 269, 769, 602, 2013, 267, 1210, 1022, 3928, 1505, 596, 899, 630, 324, 3052, 269, 952, 589, 2306, 835, 17689, 538, 476, 279, 3108, 267, 589, 544, 13718, 2421, 27950, 26791, 692, 26607, 4119, 476, 2641, 267, 476, 1001, 280, 476, 277, 281, 6321, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 2311, 476, 279, 600, 593, 13628, 267, 1079, 4600, 267, 589, 543, 645, 267, 1142, 1376, 2324, 454, 28806, 281, 476, 273, 454, 21366, 281, 476, 9692, 692, 2971, 2311, 513, 2199, 6995, 6300, 267, 2250, 1845, 949, 723, 10808, 267, 10217, 10484, 30607, 4578, 2672, 11797, 692, 5804, 15048, 476, 272, 267, 2094, 476, 2568, 260, 2270, 10217, 267, 835, 10116, 540, 602, 6871, 267, 610, 476, 1428, 9077, 2270, 9444, 10217, 6862, 10808, 269, 2334, 6589, 585, 476, 4037, 260, 540, 519, 2250, 1845, 267, 543, 519, 1964, 267, 610, 476, 1839, 9077, 1590, 2270, 10808, 855, 711, 10217, 269, 4595, 972, 616, 476, 6110, 2250, 1845, 538, 2698, 267, 476, 1911, 2270, 1152, 10808, 267, 543, 15048, 476, 272, 1775, 13718, 2421, 27950, 26791, 692, 26607, 4119, 476, 2641, 267, 476, 1001, 280, 476, 277, 281, 2412, 993, 454, 2690, 636, 281, 4578, 2672, 11797, 454, 307, 8084, 281, 2311, 513, 2199, 6995, 6300, 267, 2250, 1845, 949, 723, 10808, 267, 10217, 2676, 28806, 281, 476, 273, 454, 21366, 281, 476, 14378, 692, 2971, 26286, 16142, 616, 1455, 538, 519, 7297, 4478, 14210, 732, 692, 30607, 11879, 25705, 692, 763, 25650, 781, 834, 9188, 1600, 12343, 257, 568, 834, 1729, 948, 519, 4346, 2668, 1924, 649, 1616, 513, 2601, 713, 11556, 786, 711, 948, 519, 4346, 269, 1284, 917, 9235, 568, 1271, 547, 519, 4346, 267, 855, 10068, 568, 1256, 811, 1271, 269, 2755, 713, 11556, 949, 948, 9235, 267, 952, 972, 781, 513, 2601, 621, 1522, 10413, 10068, 267, 621, 1522, 711, 9785, 13718, 2421, 27950, 26791, 692, 307, 826, 4119, 476, 736, 267, 476, 1001, 280, 476, 276, 281, 6246, 993, 454, 2690, 636, 281, 11879, 25705, 454, 307, 8084, 281, 26286, 16142, 616, 1455, 538, 519, 7297, 4478, 14210, 732, 454, 28806, 281, 476, 272, 454, 21366, 281, 476, 19054, 692, 2971, 26712, 9539, 3784, 16544, 2433, 10261, 2241, 7778, 547, 4194, 692, 30607, 17918, 4569, 692, 288, 1297, 786, 581, 16883, 676, 476, 2190, 952, 621, 568, 16883, 676, 476, 274, 543, 676, 476, 279, 269, 1284, 1616, 547, 917, 952, 1535, 317, 273, 910, 476, 272, 815, 630, 343, 268, 272, 7565, 343, 266, 272, 264, 568, 16883, 676, 476, 2190, 269, 18564, 602, 1535, 268, 272, 543, 1535, 266, 272, 616, 9674, 676, 476, 273, 267, 865, 789, 616, 2901, 15654, 9642, 9981, 610, 15654, 1256, 9981, 269, 3245, 15048, 476, 272, 267, 649, 1451, 602, 1535, 568, 9642, 267, 865, 1535, 268, 272, 543, 1535, 266, 13718, 2421, 27950, 26791, 692, 307, 826, 4119, 476, 736, 267, 476, 1001, 280, 476, 276, 281, 4343, 993, 454, 2690, 636, 281, 17918, 4569, 454, 307, 8084, 281, 26712, 9539, 3784, 16544, 2433, 10261, 2241, 7778, 547, 4194, 454, 28806, 281, 476, 272, 454, 21366, 281, 476, 25908, 274, 692, 2971, 769, 1773, 583, 1105, 9373, 1440, 2478, 267, 476, 3583, 260, 540, 519, 5520, 616, 2344, 619, 10484, 30607, 9046, 14572, 692, 2252, 519, 2949, 3328, 568, 1269, 3199, 267, 1822, 267, 543, 519, 8030, 262, 3328, 568, 259, 3199, 267, 1822, 267, 649, 666, 1175, 11716, 519, 8030, 267, 1317, 1519, 873, 4465, 1405, 1689, 519, 3328, 269, 4595, 476, 3583, 260, 540, 5520, 616, 2344, 619, 543, 476, 1015, 260, 616, 9946, 267, 519, 5223, 540, 2344, 619, 547, 9946, 568, 476, 278, 547, 476, 272, 269, 1924, 267, 676, 782, 12720, 3741, 267, 519, 1253, 13718, 2421, 27950, 26791, 692, 307, 826, 4119, 476, 736, 267, 476, 1001, 280, 476, 276, 281, 3953, 993, 454, 2690, 636, 281, 9046, 14572, 454, 307, 8084, 281, 769, 1773, 583, 1105, 9373, 1440, 2478, 267, 476, 3583, 260, 540, 519, 5520, 616, 2344, 619, 2676, 28806, 281, 476, 275, 454, 21366, 281, 476, 30156, 692, 2971, 634, 1762, 19762, 560, 1537, 18364, 17939, 5964, 667, 4040, 334, 568, 513, 3020, 605, 323, 692, 30607, 11879, 25705, 692, 296, 1810, 1405, 1589, 621, 781, 2312, 1256, 1018, 834, 1492, 3932, 257, 540, 519, 4661, 568, 267, 607, 519, 6565, 568, 2262, 539, 269, 898, 4667, 547, 723, 1079, 8753, 269, 1772, 519, 3932, 602, 667, 4040, 334, 568, 834, 320, 3020, 605, 21745, 344, 22172, 2107, 568, 519, 3932, 602, 646, 666, 5431, 950, 606, 6293, 568, 834, 16838, 513, 3787, 856, 540, 19820, 22172, 1403, 621, 781, 519, 5449, 267, 649, 9364, 581, 27250, 2421, 27950, 26791, 692, 12507, 4119, 476, 866, 267, 476, 1001, 280, 476, 279, 281, 3066, 993, 454, 2690, 636, 281, 11879, 25705, 454, 307, 8084, 281, 634, 1762, 19762, 560, 1537, 18364, 17939, 5964, 667, 4040, 334, 568, 513, 3020, 605, 323, 454, 28806, 281, 476, 272, 454, 21366, 281, 476, 14225, 692, 2971, 589, 1942, 15807, 3070, 547, 519, 1966, 540, 19633, 7249, 652, 328, 692, 30607, 11879, 25705, 692, 763, 4661, 3081, 267, 538, 851, 267, 834, 2280, 781, 2569, 5533, 676, 13868, 14742, 609, 14884, 2668, 2334, 781, 711 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14503, 1662, 11568, 538, 4432, 11312, 267, 21015, 543, 6186, 1546, 1188, 630, 1556, 2187, 8489, 568, 519, 10699, 1388, 26187, 320, 888, 534, 10262, 547, 519, 23969, 4745, 543, 568, 513, 21083, 4965, 4646, 1063, 1079, 2062, 1301, 6091, 454, 1432, 1079, 6091, 1106, 519, 7750, 1388, 6522, 320, 888, 268, 24865, 689, 519, 14694, 24101, 571, 1718, 2643, 541, 25170, 540, 1208, 518, 639, 454, 763, 5731, 1807, 1855, 637, 454, 268, 689, 519, 31443, 12473, 1180, 1803, 540, 519, 1208, 518, 639, 454, 1432, 568, 519, 12476, 540, 519, 10699, 1388, 26187, 320, 888, 534, 16494, 8880, 1899, 1063, 31443, 543, 14694, 12473, 1180, 5138, 454, 268, 519, 5127, 568, 519, 2909, 577, 658, 529, 4887, 454, 1432, 616, 519, 2101, 9115, 540, 519, 7750, 1388, 26187, 320, 286, 689, 4234, 547, 31443, 454, 5228, 14694, 547, 31443, 454, 268, 25688, 540, 22833, 10134, 2909, 577, 4512, 454, 268, 2909, 577, 658, 16050, 630, 6518, 786, 536, 604, 584, 322, 622, 883, 986, 573, 658, 543, 12804, 333, 541, 16209, 994, 268, 11667, 8229, 267, 713, 6013, 5612, 31443, 547, 519, 2909, 577, 658, 16050, 543, 3762, 519, 6522, 320, 676, 8429, 1063, 12804, 333, 541, 543, 1208, 1968, 9843, 540, 5731, 1807, 751, 637, 4887, 454, 1692, 1281, 519, 2405, 1014, 8229, 4734, 519, 10699, 1388, 26187, 320, 888, 527, 6013, 5612, 31443, 547, 519, 2909, 577, 658, 16050, 454, 268, 3762, 519, 6522, 320, 676, 8429, 1063, 12804, 333, 541, 543, 1208, 1968, 9843, 540, 519, 5731, 1807, 751, 637, 4887, 454, 8489, 568, 519, 7101, 658, 715, 2925, 888, 15533, 896, 519, 9067, 540, 519, 2909, 14024, 2784, 658, 529, 267, 799, 3029, 519, 14694, 14345, 540, 519, 6522, 320, 454, 268, 896, 519, 2909, 577, 1640, 611, 658, 529, 519, 24293, 8229, 536, 604, 584, 322, 919, 883, 21603, 543, 2620, 8371, 454, 1432, 798, 519, 21603, 543, 2620, 24293, 13285, 798, 888, 268, 21603, 5170, 883, 2062, 1301, 2620, 547, 519, 2909, 577, 1640, 611, 658, 529, 4887, 454, 268, 519, 2620, 4839, 3832, 10596, 1063, 1079, 9843, 540, 647, 11017, 1807, 4887, 547, 1569, 519, 17911, 26654, 540, 519, 2062, 1301, 454, 8489, 1281, 519, 772, 15238, 541, 8229, 538, 6935, 547, 519, 10699, 1388, 26187, 320, 888, 1492, 12804, 333, 541, 8229, 1281, 711, 1780, 998, 519, 7750, 1388, 6522, 320, 855, 3079, 10596, 17911, 547, 519, 31443, 12473, 1180, 1803, 454, 1432, 3029, 519, 8122, 540, 519, 7750, 1388, 6522, 320, 888, 27273, 325, 2772, 3673, 807, 543, 2960, 454, 268, 519, 31443, 7750, 1388, 18916, 799, 10596, 25241, 958, 2066, 519, 8122, 543, 598, 10811, 551, 519, 524, 31525, 545, 609, 24958, 545, 18916, 454, 8489, 568, 519, 8953, 888, 331, 8632, 538, 2990, 0, 310, 2969, 2207, 21612, 294, 24493, 14120, 519, 6107, 1604, 21895, 799, 14626, 3660, 609, 519, 4139, 4303, 585, 18143, 26085, 593, 2904, 476, 2420, 267, 15272, 4856, 1676, 9575, 909, 609, 930, 6103, 476, 1556, 6267, 689, 1585, 3506, 607, 1134, 607, 513, 3803, 1032, 12443, 23855, 545, 540, 21601, 28992, 1053, 945, 3838, 741, 2833, 1282, 513, 3018, 17489, 2361, 7552, 547, 519, 4826, 6199, 5244, 563, 763, 6267, 4481, 6743, 693, 1614, 3334, 12077, 267, 17382, 1958, 549, 16670, 267, 9235, 543, 678, 13370, 663, 2359, 1472, 519, 6288, 563, 306, 2684, 807, 715, 340, 8500, 27376, 267, 945, 568, 513, 7186, 11094, 3803, 1032, 12443, 23855, 545, 2875, 267, 3081, 14120, 519, 1554, 585, 1200, 1797, 267, 968, 1998, 5224, 1018, 649, 723, 543, 1510, 2470, 267, 649, 616, 4986, 6100, 2701, 568, 4867, 3257, 1200, 1382, 1788, 538, 519, 27386, 10651, 267, 1247, 593, 22631, 1222, 693, 661, 706, 268, 26136, 269, 2701, 3081, 1200, 1858, 540, 1445, 568, 2249, 17381, 267, 4763, 543, 11606, 593, 1507, 11864, 538, 519, 27386, 10651, 269, 715, 340, 8500, 27376, 3081, 835, 2115, 547, 1353, 968, 8243, 691, 892, 607, 519, 2361, 3340, 513, 2603, 540, 1780, 7436, 543, 711, 1152, 476, 1839, 607, 513, 5934, 10421, 585, 24596, 7127, 267, 855, 1657, 476, 1789, 2798, 547, 581, 15861, 269, 2701, 2206, 956, 856, 4400, 557, 671, 267, 17382, 267, 4552, 344, 3723, 539, 267, 1668, 1506, 26904, 4552, 344, 3723, 539, 575, 8538, 2812, 607, 1134, 607, 519, 9390, 7510, 326, 3240, 543, 3162, 3979, 533, 31189, 10856, 607, 1455, 562, 2137, 563, 307, 639, 6773, 1372, 1284, 344, 21343, 689, 519, 21411, 752, 541, 4673, 18947, 18520, 3427, 3081, 1352, 4121, 513, 2603, 607, 789, 1185, 547, 4163, 856, 1382, 547, 1265, 856, 519, 5294, 543, 931, 1472, 519, 4826, 6199, 5244, 538, 1114, 2127, 971, 607, 13155, 2249, 269, 2701, 8591, 602, 789, 1185, 547, 1293, 519, 1297, 540, 13155, 2249, 971, 607, 519, 10889, 531, 3996, 543, 3043, 543, 3109, 11002, 16394, 269, 968, 2171, 849, 12038, 547, 1585, 14666, 547, 1265, 856, 827, 741, 2833, 1472, 519, 6288, 269, 2368, 941, 711, 6126, 267, 538, 1880, 609, 519, 5989, 269, 594, 1616, 547, 1831, 513, 12875, 6651, 835, 1554, 1317, 519, 1995, 693, 4826, 6199, 6026, 803, 513, 2603, 2223, 1352, 4967, 563, 290, 4958, 7770, 23688, 329, 822, 1731, 7699, 267, 849, 689, 519, 21411, 752, 541, 4673, 18947, 18520, 3427, 1705, 2361, 960, 593, 17382, 1958, 549, 16670, 269, 968, 2690, 1142, 1858, 267, 649, 1031, 513, 1114, 6223, 267, 543, 649, 1287, 3893, 938, 2164, 269, 1284, 4857, 1114, 2249, 543, 1705, 938, 6371, 3382, 269, 1284, 849, 4682, 585, 632, 1532, 5241, 3635, 543, 972, 649, 4718, 930, 1750, 29609, 338, 2223, 1352, 6920, 563, 5194, 2875, 689, 519, 1482, 1153, 267, 16334, 329, 877, 2098, 320, 1180, 10937, 267, 3081, 789, 5342, 513, 5619, 593, 1079, 11396, 1472, 4826, 6199, 269, 968, 2171, 1031, 1114, 2409, 547, 2932, 519, 5619, 267, 649, 1705, 513, 6223, 1505, 543, 649, 4857, 1114, 6371, 2249, 269, 594, 723, 4121, 513, 2603, 540, 1114, 2249, 543, 621, 568, 513, 1390, 4316, 585, 803, 2899, 594, 2347, 1250, 6103, 476, 1321, 547, 11654, 7186, 11094, 2090, 2223, 646, 6920, 563, 14976, 9626, 2549, 340, 25222, 689, 670, 5255, 1633, 4400, 3427, 2829, 602, 789, 1185, 1614, 3584, 267, 12077, 4264, 17382, 1958, 549, 16670, 267, 9235, 543, 678, 13370, 663, 2359, 269, 4173, 1445, 729, 593, 519, 9265, 540, 4264, 9235, 269, 968, 2171, 1185, 1614, 1292, 6859, 799, 835, 729, 547, 2697, 13155, 543, 1455, 2249, 1336, 538, 519, 6288, 269, 20638, 1297, 1079, 729, 547, 2932, 11042, 609, 14666, 543, 5234, 827, 741, 2833, 1472, 519, 2073, 543, 519, 3791, 835, 729, 547, 2932, 12220, 593, 3653, 2359, 269, 1284, 4280, 519, 5234, 1934, 875, 789, 4383, 741, 3653, 547, 1832, 519, 1747, 2973, 269, 1358, 1767, 835, 540, 519, 1966, 568, 519, 3777, 9398, 799, 7363, 16150, 1472, 519, 3653, 585, 1426, 3190, 532, 519, 1747, 909, 2223, 1352, 3081, 563, 301, 724, 12011, 517, 1415, 324, 17363, 689, 589, 2529, 1222, 6511, 18520, 3427, 3081, 646, 849, 4121, 513, 2603, 676, 5967, 532, 5234, 3823, 9235, 267, 3653, 2359, 543, 593, 519, 1114, 2249, 1336, 1472, 519, 6288, 269, 1261, 849, 4121, 519, 2956, 540, 1507, 7786, 543, 11864, 547, 519, 1604, 267, 799, 568, 547, 3049, 824, 2831, 543, 849, 6971, 17382, 1958, 549, 16670, 563, 763, 6267, 941, 782, 2016, 22783, 676, 519, 3493, 14280, 10579, 540, 5113, 543, 21094, 267, 570, 20207, 715, 3711, 24660, 267, 607, 513, 18351, 540, 7071, 585, 741, 3018, 17489, 2361, 7552, 1472, 4826, 6199, 269, 0, 1432, 1684, 16503, 21116, 1684, 888, 297, 712, 7958, 910, 7689, 476, 278, 454, 29309, 670, 13616, 910, 6103, 476, 274, 454, 29973, 7726, 10778, 20597, 650, 540, 519, 10432, 2433, 7956, 1299, 18753, 17972, 454, 1103, 845, 1049, 5931, 2270, 1257, 2934, 267, 971, 607, 26333, 267, 4633, 31148, 267, 543, 8666, 3061, 687, 267, 602, 666, 948, 3988, 12398, 1344, 3533, 563, 288, 18308, 1419, 946, 8642, 2934, 267, 971, 607, 12383, 267, 7851, 267, 12125, 267, 610, 11708, 267, 1317, 891, 3308, 2934, 666, 1118, 1344, 4443, 547, 1174, 563, 8967, 2454, 9293, 2433, 476, 274, 4484, 13421, 454, 268, 4952, 910, 547, 1294, 513, 4605, 538, 707, 2247, 454, 268, 2645, 910, 1919, 1004, 946, 547, 948, 873, 798, 513, 2816, 454, 268, 9414, 910, 547, 1118, 5961, 602, 1397, 1945, 454, 268, 31163, 7632, 910, 12400, 610, 546, 22751, 267, 6537, 538, 513, 2656, 610, 1416, 1652, 1259, 454, 268, 25780, 910, 2656, 267, 2241, 12400, 454, 268, 16439, 910, 25718, 519, 7291, 610, 3337, 540, 1945, 454, 268, 1382, 910, 1729, 3406, 585, 543, 1353, 1344, 827, 513, 1888, 454, 268, 18282, 910, 1114, 2081, 602, 7252, 1413, 543, 1745, 0, 9349, 518, 570, 6115, 454, 2252, 596, 1616, 547, 12740, 3054, 909, 267, 12740, 909, 2576, 3116, 563, 9349, 518, 570, 654, 4770, 517, 454, 9349, 518, 570, 6115, 729, 513, 5449, 10553, 593, 513, 24873, 269, 3245, 1010, 18803, 20297, 607, 513, 10553, 547, 1010, 2864, 14547, 2663, 1272, 646, 12630, 519, 6079, 540, 519, 7862, 540, 3979, 4892, 269, 3883, 518, 19262, 513, 9702, 1317, 540, 1010, 7418, 547, 3109, 3979, 4892, 538, 713, 2197, 269, 0, 763, 20599, 568, 2813, 676, 4619, 528, 18367, 18315, 1247, 693, 519, 6280, 540, 3824, 565, 26684, 339, 11526, 883, 513, 12404, 748, 543, 17254, 4842, 13442, 267, 519, 20599, 8188, 18349, 513, 269, 769, 713, 4670, 267, 18367, 18315, 781, 20599, 568, 538, 799, 1079, 3744, 7011, 1782, 513, 18367, 18315, 781, 15065, 3122, 6438, 13442, 1210, 18367, 18315, 538, 2442, 2528, 269, 29975, 568, 513, 476, 4350, 272, 7819, 840, 2275, 1712, 16897, 20599, 4670, 689, 1082, 540, 519, 7766, 8874, 799, 12286, 18367, 18315, 781, 20599, 1629, 1774, 519, 13442, 547, 513, 269, 29975, 779, 20599, 568, 513, 14070, 1915, 689, 29827, 519, 20599, 568, 849, 1572, 13442, 18664, 529, 737, 22611, 4752, 781, 7260, 9542, 540, 18367, 18315, 781, 20599, 269, 25175, 568, 4847, 547, 1118, 513, 7260, 827, 1951, 1529, 320, 1482, 4422, 585, 18367, 18315, 779, 20599, 267, 607, 1279, 607, 519, 13442, 3085, 1406, 1413, 1932, 1454, 899, 519, 28642, 17962, 2203, 269, 1284, 4312, 588, 17097, 1927, 513, 1592, 7260, 15065, 3122, 11655, 786, 18367, 18315, 781, 7260, 1686, 281, 29122, 632, 562, 10098, 607, 519, 13442, 543, 4839, 27895, 5128, 607, 4619, 528, 269, 26826, 552, 1188, 28496, 781, 1775, 267, 18367, 18315, 13442, 12987, 513, 1413, 693, 519, 11051, 945, 4312, 5129, 29827, 6692, 2917, 781, 556, 534, 13846, 812, 269, 1261, 568, 1193, 22931, 676, 519, 20599, 950, 519, 13442, 568, 21616, 827, 9561, 1018, 616, 930, 1915, 7592, 585, 1312, 4619, 528, 18367, 18315, 543, 519, 20599, 538, 519, 563, 763, 4013, 2985, 540, 13442, 9858, 910, 519, 18367, 18315, 1950, 682, 1950, 324, 632, 18367, 18315, 267, 682, 4670, 513, 17157, 689, 519, 9910, 1673, 665, 2713, 609, 28749, 269, 4658, 779, 11994, 540, 519, 13442, 723, 1831, 865, 2112, 6244, 676, 942, 543, 5756, 540, 22801, 4670, 19297, 543, 2376, 10643, 602, 1034, 946, 519, 2012, 968, 325, 17213, 18315, 269, 5192, 606, 2626, 585, 1412, 4754, 596, 1865, 519, 4664, 538, 18367, 18315, 262, 543, 1265, 538, 18367, 18315, 267, 875, 1281, 519, 13442, 2014, 4619, 528, 18367, 18315, 543, 519, 20599, 538, 269, 634, 544, 32121, 8471, 28749, 1397, 814, 519, 27379, 540, 18367, 18315, 676, 795, 517, 11936, 3276, 2023, 267, 13442, 689, 519, 11269, 540, 519, 2707, 9413, 568, 269, 898, 4667, 1022, 942, 2576, 4016, 547, 519, 13442, 538, 29827, 6692, 2917, 779, 18367, 18315, 607, 968, 325, 17213, 18315, 892, 930, 7895, 656, 786, 669, 830, 538, 609, 513, 7873, 525, 322, 2056, 267, 968, 7795, 332, 269, 910, 568, 18367, 18315, 513, 13442, 610, 20599, 519, 18572, 540, 4619, 528, 779, 13442, 267, 519, 20599, 267, 538, 519, 7260, 4352, 10169, 13497, 1114, 563, 1607, 7260, 28749, 538, 3332, 3126, 2934, 18367, 18315, 543, 1866, 262, 8129, 543, 3310, 538, 3332, 267, 4670, 267, 543, 2442, 2528, 269, 15526, 6487, 519, 11599, 7260, 20599, 8117, 1934, 616, 4557, 1919, 596, 1522, 711, 723, 1634, 827, 18367, 18315, 543, 1010, 5137, 269, 29975, 281, 3297, 519, 20599, 1159, 1662, 6692, 2917, 781, 13442, 3592, 476, 736, 1296, 1354, 519, 4417, 540, 3280, 538, 4670, 267, 621, 2982, 4619, 528, 18367, 18315, 538, 513, 6469, 563, 31819, 596, 2479 ]

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

[ 4882, 969, 29793, 2120, 262, 4939, 630, 1598, 4433, 969, 334, 1070, 1193, 263, 4120, 17903, 1038, 1948, 657, 269, 17882, 263, 12252, 3418, 1038, 1948, 2745, 4971, 5897, 1038, 2990, 815, 703, 3488, 260, 323, 262, 4939, 630, 4120, 17903, 1038, 952, 1425, 334, 2652, 476, 273, 6769, 1038, 1948, 3966, 1477, 2018, 952, 2990, 13843, 476, 1015, 543, 2990, 2999, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 271, 257, 266, 1598, 263, 6570, 11924, 257, 321, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 289, 476, 1015, 268, 1911, 2411, 955, 29177, 2018, 8640, 2990, 2999, 476, 1015, 6769, 3546, 3977, 815, 834, 258, 876, 257, 266, 1598, 263, 6570, 11924, 257, 321, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 289, 476, 271, 268, 1015, 2411, 955, 29177, 2018, 8640, 2990, 13843, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 257, 266, 1598, 263, 6570, 11924, 257, 321, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 289, 476, 1911, 266, 2411, 955, 29177, 2018, 1820, 3977, 1477, 453, 825, 952, 16788, 11203, 1412, 273, 262, 6769, 3546, 2518, 1583, 1477, 3546, 1583, 22182, 263, 16059, 3418, 2018, 8640, 16788, 2652, 1412, 273, 262, 6769, 3546, 31641, 6618, 263, 16059, 3418, 453, 11434, 1477, 1038, 1948, 339, 2830, 1363, 1477, 1038, 952, 1425, 334, 2652, 476, 276, 281, 5897, 453, 24541, 2018, 952, 2990, 13843, 476, 1015, 543, 476, 2990, 2999, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 271, 257, 266, 1598, 263, 6570, 11924, 257, 320, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 288, 476, 1015, 268, 1911, 2411, 955, 29177, 2018, 8640, 2990, 2999, 476, 1015, 6769, 3546, 3977, 815, 834, 258, 876, 257, 266, 1598, 263, 6570, 11924, 257, 320, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 288, 476, 271, 268, 1015, 2411, 955, 29177, 2018, 8640, 2990, 13843, 476, 1911, 6769, 3546, 3977, 815, 834, 258, 257, 266, 1598, 263, 6570, 11924, 257, 320, 2437, 1477, 453, 13537, 834, 10900, 955, 268, 288, 476, 1911, 266, 2411, 955, 29177, 2018, 1820, 3977, 1477, 2018, 952, 16788, 11203, 1412, 273, 262, 6769, 3546, 2518, 1583, 1477, 3546, 1583, 22182, 263, 16059, 3418, 2018, 3116, 6769, 3546, 31641, 6618, 263, 16059, 3418, 453, 825, 3977, 273, 815, 834, 7224, 6358, 29177, 453, 825, 1820, 3977, 273, 1477, 2018, 952, 2990, 10922, 476, 3199, 610, 2990, 13843, 476, 10755, 6769, 453, 1038, 952, 2990, 10922, 476, 3199, 6769, 4848, 825, 1820, 834, 10900, 9339, 16810, 5785, 29177, 4848, 825, 3977, 273, 815, 834, 322, 28872, 2437, 1477, 4848, 825, 1820, 3977, 273, 1477, 453, 1038, 8640, 2990, 13843, 10755, 6769, 4848, 825, 1820, 834, 10900, 955, 268, 291, 32052, 10900, 9339, 268, 29177, 4848, 825, 3977, 273, 815, 834, 323, 28872, 2437, 1477, 4848, 825, 1820, 3977, 273, 1477, 453, 453, 29514, 1583, 272, 1477, 453, 1038, 1583, 272, 22182, 263, 16059, 273, 264, 453, 567, 1477, 453, 1038, 1820, 834, 20594, 20594, 20594, 20594, 29177, 453, 825, 1477, 453, 16875, 1477, 2018, 1477, 1038, 1948, 5503, 4732, 2748, 263, 271, 269, 273, 3418, 1038, 2518, 942, 719, 1477, 1038, 1948, 5503, 719, 642, 3233, 2520, 1998, 2520, 345, 32218, 1207, 527, 523, 1982, 2742, 737, 558, 339, 1477, 1038, 942, 719, 815, 942, 28333, 14052, 453, 258, 5503, 4732, 2748, 263, 271, 269, 273, 264, 21506, 1038, 1820, 942, 719, 1477, 453, 29514, 759, 996, 697, 1477, 453, 637, 996, 697, 815, 759, 996, 697, 1341, 272, 1477, 13537, 834, 637, 564, 834, 266, 1598, 263, 637, 996, 697, 270, 273, 11924, 257, 270, 276, 29177, 825, 3116, 6769, 1038, 1820, 834, 306, 969, 334, 5086, 1590, 581, 606, 8870, 1063, 476, 271, 543, 476, 27149, 26142, 333, 257, 24653, 258, 2411, 9339, 268, 763, 6301, 2411, 9339, 1477, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 24541, 825, 1948, 3918, 4696, 3403, 547, 1205, 2823, 585, 1425, 334, 1477, 825, 2823, 815, 6151, 17750, 3488, 1432, 18292, 2823, 547, 946, 585, 1425, 657, 286, 476, 271, 585, 512, 1399, 3722, 300, 271, 2073, 476, 272, 585, 512, 1399, 3722, 300, 272, 26012, 1412, 15234, 3299, 476, 273, 585, 29402, 1496, 8705, 940, 946, 1152, 950, 707, 2386, 27573, 31641, 740, 816, 568, 4295, 551, 13912, 281, 15981, 3418, 825, 952, 2823, 2652, 1412, 271, 262, 6769, 1038, 2518, 1583, 1477, 1038, 1583, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 271, 3299, 476, 31634, 271, 3418, 13537, 834, 338, 969, 334, 781, 4448, 547, 721, 321, 271, 29177, 825, 952, 2823, 2652, 1412, 272, 262, 6769, 1038, 2518, 1583, 1477, 1038, 1583, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 272, 3299, 476, 31634, 271, 3418, 13537, 834, 338, 969, 334, 781, 4448, 547, 721, 321, 272, 29177, 825, 952, 2823, 2652, 1412, 273, 262, 6769, 1038, 31641, 6618, 18011, 313, 20298, 24541, 825, 942, 4732, 2748, 263, 271, 269, 273, 3418, 24541, 825, 1948, 1348, 3403, 585, 2823, 20336, 304, 2848, 3899, 17120, 1477, 825, 1477, 825, 952, 2823, 2652, 1412, 271, 262, 6769, 1038, 2518, 1583, 272, 1477, 1038, 1583, 272, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 272, 3299, 476, 31634, 271, 3418, 13537, 834, 4614, 3899, 4448, 547, 721, 321, 272, 29177, 825, 952, 2823, 2652, 1412, 272, 262, 6769, 1038, 2518, 1583, 272, 1477, 1038, 1583, 272, 815, 17626, 2529, 518, 658, 3488, 270, 22563, 14121, 1399, 4785, 289, 271, 3299, 476, 31634, 271, 264, 825, 1477, 13537, 834, 4614, 3899, 4448, 547, 721, 321, 271, 29177, 24541, 1363, 1477, 825, 1948, 1612, 572, 4699, 323, 1899, 3681, 267, 14764, 12794, 541, 29976, 1477, 825, 16163, 518, 815, 26840, 303, 32242, 263, 639, 720, 815, 834, 639, 720, 281, 4939, 2889, 326, 1496, 9953, 687, 316, 1496, 31748, 5028, 16229, 316, 14744, 825, 16163, 518, 14491, 318, 641, 5406, 2891, 268, 322, 2580, 834, 734, 322, 2444, 1228, 2580, 2962, 6889, 32697, 2580, 3186, 6889, 322, 2444, 1228, 2580, 1826, 6889, 1598, 2580, 948, 6889, 295, 320, 541, 22107, 1228, 3758, 267, 9949, 4939, 29239, 2580, 9949, 815, 834, 32220, 3873, 2117, 2444, 1228, 6958, 30613, 2183, 318, 5306, 11859, 6447, 8442, 258, 322, 2444, 1228, 3758, 666, 581, 4957, 1477, 825, 630, 9953, 687, 267, 26571, 264, 815, 16163, 518, 269, 27785, 318, 16911, 31476, 825, 22107, 1228, 815, 20956, 11482, 1933, 263, 9953, 687, 6983, 2444, 1228, 10142, 825, 952, 7003, 263, 16911, 264, 11203, 476, 272, 6769, 1038, 16163, 518, 31428, 318, 15276, 14052, 1038, 19523, 20216, 527, 263, 272, 10142, 825, 3403, 12173, 815, 26571, 314, 271, 15947, 825, 952, 3403, 12173, 18994, 323, 13424, 28399, 1038, 7001, 815, 20956, 5861, 5273, 23173, 5028, 290, 2194, 675, 17301, 9272, 12173, 17903, 825, 3116, 6769, 1038, 1820, 834, 2171, 991, 513, 8254, 3403, 256, 10410, 1518, 8254, 4994, 552, 3052, 269, 476, 271, 29177, 1038, 19523, 20216, 527, 263, 271, 3418, 5897, 825, 2626, 815, 6151, 17750, 3488, 4777, 596, 991, 18849, 942, 286, 9811, 314, 272, 316, 610, 1100, 314, 271, 316, 610, 630, 13433, 609, 264, 19268, 314, 274, 316, 20298, 825, 952, 2626, 2652, 1412, 272, 262, 610, 2626, 2652, 262, 274, 262, 6769, 14851, 2626, 2652, 262, 274, 262, 6769, 453, 825, 1583, 272, 22182, 2891, 337, 14744, 1038, 1820, 834, 321, 17415, 281, 257, 24541, 453, 5503, 4732, 2748, 263, 279, 3418, 672, 13537, 834, 272, 270, 274, 18849, 942, 29177, 672, 453, 5503, 4732, 2748, 263, 279, 3418, 672, 13537, 834, 273, 270, 274, 18849, 942, 29177, 672, 453, 5503, 4732, 2748, 263, 277, 3418, 672, 13537, 834, 274, 270, 274, 18849, 942, 8737, 29177, 825, 3116, 2433, 21506, 13537, 834, 321, 2393, 1236, 5792, 257, 24653, 825, 20956, 12991, 3139, 20360, 578, 2891, 14310, 2580, 476, 272, 10142, 825, 952, 7001, 6769, 1038, 7406, 6831, 4878, 815, 7183, 5897, 1038, 1847, 263, 3966, 294, 335, 1470, 303, 514, 267, 476, 3445, 267, 2823, 3418, 1038, 1847, 6025, 2830, 294, 335, 1470, 303, 514, 267, 476, 1911, 267, 2823, 10142, 1038, 1247, 6936, 6769, 2018, 7406, 815, 20956, 269, 5226, 2044, 20988, 6262, 2194, 675, 3418, 2018, 952, 711, 7406, 6769, 3546, 20956, 15030, 7159, 7659, 263, 271, 3418, 3546, 2736, 1477, 2018, 952, 711, 7406, 6831, 4878, 6769, 3546, 7406, 6831, 4878, 815, 20956, 5861, 5273, 15862, 9230, 18134, 9884, 5954, 267, 18134, 269, 19417, 1070, 1477, 14030, 2018, 20956, 269, 7709, 299, 32707, 7968, 8025, 318, 279, 308, 267, 7406, 8542, 2419, 2335, 1564, 3418, 2018, 952, 7406, 269, 10594, 514, 2652, 20956, 269, 7709, 299, 318, 3036, 5456, 2562, 318, 26950, 6769, 3546, 20956, 5861, 4878, 6600, 9347, 267, 7406, 6831, 4878, 3418, 2018, 3116, 6769, 3546, 20956, 12171, 28309, 6600, 9347, 267, 7406, 6831, 4878, 267, 476, 271, 10142, 2018, 4571, 306, 10547, 311, 815, 630, 18134, 9884, 5954, 270, 273, 3418, 2018, 4571, 306, 10547, 312, 815, 630, 18134, 269, 19417, 270, 273, 10142, 2018, 4571, 293, 864, 815, 3713, 318, 663, 5091, 3863, 6600, 9347, 6831, 4878, 267, 22107, 1228, 10142, 2018, 952, 4571, 293, 864, 568, 711, 7183, 6769, 3546, 4571, 293, 864, 311, 815, 4571, 293, 864, 314, 271, 15947, 3546, 4571, 293, 864, 312, 815, 4571, 293, 864, 314, 272, 316, 5897, 3546, 1948, 8340, 856, 952, 519, 2473, 5057, 540, 519, 3068, 568, 547, 519, 2451, 540, 519, 1647, 540, 519, 5496, 23228, 3546, 952, 9852, 573, 293, 864, 311, 2999, 630, 13232, 306, 10547, 311, 910, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 1948, 10000, 11845, 519, 3443, 2990, 4756, 547, 1847, 519, 1425, 334, 547, 519, 1318, 23228, 7386, 1425, 334, 32292, 303, 3789, 6834, 3443, 3721, 23917, 1477, 7386, 1820, 1193, 9852, 573, 293, 864, 311, 264, 1341, 834, 3436, 834, 1341, 1193, 9852, 573, 306, 10547, 311, 264, 1341, 834, 2433, 7754, 9406, 2433, 834, 1341, 1193, 4433, 969, 334, 32292, 303, 3789, 3418, 3546, 1948, 8340, 856, 952, 519, 2473, 5057, 540, 519, 3068, 568, 547, 519, 1318, 540, 519, 1647, 540, 519, 5496, 23228, 3546, 8640, 9852, 573, 293, 864, 311, 3436, 630, 13232, 306, 10547, 311, 1341, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 1948, 10000, 11845, 519, 3443, 2990, 4756, 547, 1847, 519, 1425, 334, 547, 519, 2451, 23228, 7386, 1425, 334, 32292, 303, 3789, 20699, 3443, 3721, 23917, 1477, 7386, 1820, 1193, 9852, 573, 293, 864, 311, 264, 1341, 834, 2999, 834, 1341, 1193, 9852, 573, 306, 10547, 311, 264, 1341, 834, 2433, 7754, 19382, 2433, 834, 1341, 1193, 4433, 969, 334, 32292, 303, 3789, 3418, 3546, 3116, 6769, 7386, 1820, 1193, 9852, 573, 293, 864, 311, 264, 1341, 834, 9625, 834, 1341, 1193, 9852, 573, 306, 10547, 311, 264, 1341, 834, 2433, 834, 1341, 1193, 4433, 969, 334, 32292, 303, 3789, 10142, 3546, 1425, 334, 32292, 303, 3789, 815, 1295, 4433, 969, 334, 32292, 303, 3789, 267, 3193, 7272, 342, 332, 3418, 3546, 1425, 334, 32292, 303, 3789, 815, 3193, 4433, 969, 334, 32292, 303, 3789, 267, 1295, 7272, 342, 332, 264, 25639, 1477, 3546, 1847, 263, 3966, 294, 335, 1470, 303, 514, 267, 1425, 334, 32292, 303, 3789, 267, 2823, 10142, 3546, 1948, 8340, 856, 952, 519, 962, 5057, 540, 519, 3068, 568, 2630, 519, 1647, 540, 519, 5496, 23228, 3546, 952, 9852, 573, 293, 864, 312, 2999, 630, 13232, 306, 10547, 312, 910, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 952, 4433, 969, 11561, 2830, 303, 3789, 13843, 476, 272, 8029, 13376, 1948, 10000, 11845, 519, 28550, 2990, 4756, 547, 6318, 519, 28550, 1425, 334, 23228, 13376, 1425, 11561, 2830, 303, 3789, 6834, 28550, 3721, 23917, 1477, 13376, 1820, 1193, 9852, 573, 293, 864, 312, 264, 1341, 834, 2999, 834, 1341, 1193, 9852, 573, 306, 10547, 312, 264, 1341, 834, 2433, 570, 2830, 5455, 2433, 834, 1341, 1193, 4433, 969, 11561, 2830, 303, 3789, 3418, 3546, 1948, 8340, 856, 952, 519, 962, 5057, 540, 519, 3068, 568, 1657, 519, 1647, 540, 519, 5496, 23228, 3546, 8640, 9852, 573, 293, 864, 312, 3436, 630, 13232, 306, 10547, 312, 1341, 4571, 306, 10547, 20360, 578, 264, 8029, 7386, 952, 4433, 969, 11561, 2830, 303, 3789, 10922, 3193, 7272, 342, 332, 8029, 13376, 1948, 10000, 11845, 519, 28550, 2990, 4756, 547, 2539, 519, 28550, 1425, 334, 23228, 13376, 1425, 11561, 2830, 303, 3789, 20699, 28550, 3721, 23917, 1477 ]

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

[ 264, 649, 1101, 3489, 1535, 317, 273, 267, 543, 9062, 621, 676, 476, 274, 547, 1205, 476, 274, 343, 317, 273, 269, 5804, 476, 274, 343, 317, 273, 267, 649, 10208, 476, 276, 547, 6368, 12446, 693, 476, 274, 343, 317, 273, 5889, 19050, 382, 497, 476, 276, 269, 898, 568, 7936, 540, 6128, 538, 799, 2560, 476, 1556, 343, 910, 476, 278, 344, 910, 273, 343, 910, 476, 274, 343, 269, 815, 476, 278, 320, 910, 476, 274, 320, 910, 476, 274, 321, 1341, 476, 280, 321, 1341, 476, 275, 629, 910, 476, 277, 629, 476, 6892, 9890, 476, 6892, 6582, 519, 899, 2474, 1403, 561, 815, 476, 276, 4699, 1421, 519, 1858, 568, 476, 276, 317, 273, 4699, 317, 273, 610, 476, 1839, 4699, 317, 273, 282, 952, 519, 2427, 568, 476, 1015, 4699, 267, 519, 1858, 568, 476, 1015, 317, 273, 4699, 317, 273, 610, 476, 1911, 4699, 317, 273, 663, 865, 593, 269, 815, 11196, 276, 910, 476, 275, 264, 345, 276, 1341, 11196, 274, 1341, 476, 278, 264, 345, 274, 1341, 630, 279, 910, 476, 272, 264, 345, 1341, 476, 273, 476, 6892, 9890, 476, 6892, 9192, 899, 2474, 269, 1809, 3689, 281, 1118, 2386, 519, 7787, 4082, 568, 538, 9803, 2474, 256, 16265, 847, 476, 1321, 15383, 689, 476, 2767, 15383, 16265, 847, 476, 275, 343, 1341, 476, 274, 344, 1341, 1990, 689, 476, 273, 343, 1341, 476, 274, 344, 910, 1990, 269, 8307, 519, 10230, 14170, 616, 1114, 269, 2474, 616, 3773, 547, 1106, 606, 4082, 269, 9617, 607, 519, 2474, 476, 276, 343, 543, 910, 274, 616, 3773, 547, 1106, 606, 4082, 269, 1284, 11291, 519, 4110, 540, 513, 3652, 1284, 1265, 519, 4110, 540, 513, 9971, 4082, 1210, 519, 1739, 3268, 281, 5153, 476, 272, 281, 28799, 519, 899, 2474, 540, 519, 9971, 4082, 269, 649, 1205, 513, 317, 273, 266, 476, 273, 629, 1341, 536, 317, 273, 284, 476, 274, 317, 273, 1341, 476, 273, 1535, 343, 476, 274, 1535, 343, 476, 273, 1341, 476, 273, 317, 273, 284, 476, 280, 1341, 476, 273, 1535, 343, 476, 277, 1341, 476, 275, 815, 476, 280, 1341, 476, 1321, 1341, 476, 275, 815, 476, 1839, 267, 630, 643, 264, 513, 317, 274, 5889, 19050, 382, 497, 536, 317, 274, 267, 1677, 1265, 519, 4110, 540, 519, 9971, 267, 1039, 909, 519, 23055, 540, 1142, 2165, 543, 2824, 519, 5207, 2040, 269, 815, 263, 343, 317, 273, 268, 273, 343, 21147, 268, 273, 8358, 9230, 343, 266, 274, 7565, 343, 268, 273, 4297, 23444, 273, 343, 317, 273, 266, 277, 343, 266, 276, 343, 266, 1428, 8358, 9230, 343, 266, 274, 7565, 343, 268, 273, 4297, 3503, 476, 274, 343, 274, 344, 275, 538, 1587, 1106, 269, 16301, 540, 10789, 545, 20309, 269, 547, 20301, 5295, 540, 21055, 9424, 1797, 950, 513, 7274, 568, 16611, 676, 3294, 267, 1022, 1297, 540, 2053, 267, 519, 1587, 568, 1572, 513, 1379, 540, 602, 7274, 269, 4632, 269, 2353, 602, 799, 666, 581, 2944, 568, 547, 1921, 873, 676, 519, 1129, 540, 12408, 543, 4734, 519, 1267, 538, 519, 1106, 476, 273, 629, 910, 476, 275, 25900, 269, 815, 476, 276, 343, 910, 476, 274, 269, 815, 9230, 343, 266, 274, 7565, 343, 266, 276, 4297, 14370, 343, 266, 274, 264, 476, 272, 269, 1924, 267, 649, 5889, 19050, 382, 503, 516, 4280, 547, 1265, 519, 4110, 1924, 267, 476, 276, 343, 476, 276, 1341, 278, 343, 476, 274, 1341, 273, 343, 476, 276, 1341, 280, 343, 476, 273, 1341, 274, 266, 278, 343, 266, 275, 815, 476, 278, 343, 476, 276, 1341, 476, 278, 343, 476, 274, 1341, 476, 280, 343, 476, 273, 1341, 476, 278, 343, 1341, 476, 278, 15531, 26432, 1306, 2096, 696, 4925, 269, 25927, 908, 519, 2262, 2042, 538, 547, 15821, 7215, 269, 910, 476, 280, 3393, 6200, 279, 8382, 281, 476, 272, 2243, 4855, 519, 4110, 540, 1142, 15821, 4082, 910, 519, 4267, 547, 1609, 644, 344, 817, 9665, 2593, 4475, 267, 476, 276, 15383, 345, 1341, 11196, 278, 15383, 345, 264, 1341, 11196, 280, 15383, 345, 264, 1341, 476, 1015, 15383, 345, 815, 910, 272, 15383, 345, 267, 476, 272, 269, 589, 3791, 24266, 630, 528, 4110, 476, 274, 264, 9971, 568, 1572, 513, 12945, 9971, 269, 543, 513, 1614, 3856, 4082, 568, 1572, 513, 959, 30796, 269, 4855, 519, 12408, 540, 476, 279, 14370, 343, 266, 272, 9984, 276, 14370, 343, 268, 275, 1070, 8827, 281, 476, 272, 1547, 630, 1911, 533, 1206, 269, 3816, 664, 1457, 950, 476, 273, 1379, 476, 16348, 568, 5258, 676, 476, 1704, 269, 898, 2356, 3568, 21635, 543, 1727, 518, 725, 269, 630, 4512, 264, 476, 278, 320, 12882, 19050, 382, 497, 476, 275, 321, 267, 476, 276, 629, 267, 476, 276, 320, 267, 476, 276, 659, 616, 7429, 2474, 1317, 789, 798, 711, 723, 9838, 4632, 269, 14597, 267, 547, 1265, 519, 2040, 540, 1079, 7429, 2474, 1535, 543, 586, 267, 649, 991, 547, 1921, 1312, 519, 2474, 676, 1210, 606, 1840, 3090, 543, 2769, 519, 1267, 538, 519, 1106, 540, 1535, 1341, 586, 269, 14597, 267, 547, 1265, 519, 2040, 540, 1079, 7429, 2474, 910, 343, 543, 586, 267, 649, 991, 547, 1921, 1312, 519, 2474, 676, 1210, 606, 1840, 3090, 1496, 8987, 343, 264, 1341, 586, 316, 543, 2769, 519, 1267, 538, 519, 1106, 540, 910, 343, 1341, 586, 269, 769, 15821, 4082, 476, 276, 343, 273, 910, 476, 274, 344, 273, 910, 476, 278, 343, 273, 1341, 476, 276, 15383, 1341, 476, 275, 344, 273, 1341, 1535, 273, 910, 476, 273, 629, 1403, 649, 20301, 519, 3259, 540, 519, 2427, 540, 519, 31164, 6906, 676, 561, 267, 1287, 267, 1403, 649, 20301, 519, 3259, 540, 513, 4009, 676, 561, 267, 1287, 519, 1858, 540, 519, 4009, 815, 561, 317, 273, 269, 1284, 917, 602, 519, 4110, 568, 519, 2165, 609, 519, 6574, 20800, 543, 267, 1677, 1265, 519, 4110, 540, 513, 1395, 6706, 609, 811, 982, 835, 4756, 585, 519, 1482, 2165, 267, 1175, 1039, 519, 23055, 585, 1142, 4756, 547, 1205, 519, 4110, 269, 16390, 543, 12596, 514, 6128, 616, 2854, 514, 513, 13801, 543, 2489, 1106, 1210, 15821, 7215, 281, 634, 4082, 1535, 317, 273, 815, 263, 274, 343, 268, 4391, 8358, 9230, 343, 266, 272, 7565, 343, 268, 275, 24270, 634, 2474, 799, 723, 519, 1482, 21055, 14170, 6659, 547, 519, 1482, 7060, 855, 949, 1152, 8428, 538, 10230, 11664, 616, 1572, 2147, 610, 899, 2474, 267, 3070, 281, 634, 4082, 476, 7367, 343, 273, 910, 476, 280, 343, 1341, 476, 3607, 815, 476, 278, 332, 1341, 476, 11025, 3371, 519, 2165, 568, 910, 273, 9943, 269, 1280, 1142, 15821, 4082, 2433, 1547, 815, 476, 277, 343, 910, 476, 278, 344, 630, 1877, 476, 278, 344, 568, 606, 7429, 2165, 1040, 476, 275, 269, 4924, 476, 1704, 267, 1708, 272, 910, 4855, 519, 4110, 540, 519, 2016, 15821, 4082, 4949, 273, 1341, 536, 343, 1341, 1309, 264, 271, 321, 264, 272, 322, 264, 273, 323, 264, 274, 28557, 2626, 568, 4781, 1412, 289, 8339, 21208, 7534, 18491, 629, 16905, 269, 519, 7887, 540, 891, 2338, 269, 27155, 338, 538, 835, 4756, 269, 634, 1267, 540, 12408, 540, 1079, 899, 2474, 568, 849, 513, 899, 2474, 4171, 10230, 11664, 568, 5833, 676, 2921, 519, 3017, 540, 519, 10230, 14170, 540, 899, 2474, 269, 6684, 267, 476, 272, 269, 1323, 10789, 545, 20309, 2986, 5565, 16301, 2107, 2859, 20537, 8422, 16301, 1772, 595, 6817, 589, 834, 11372, 30796, 2668, 815, 272, 14370, 276, 3287, 266, 272, 26895, 10789, 545, 20309, 1323, 4082, 602, 3568, 693, 2547, 835, 4756, 269, 1215, 547, 1265, 513, 4110, 540, 513, 9971, 286, 1284, 7747, 602, 1079, 2474, 540, 519, 23481, 630, 1556, 320, 269, 4475, 267, 476, 278, 19282, 1341, 11196, 280, 19282, 264, 1341, 11196, 279, 19282, 264, 815, 910, 1015, 19282, 267, 476, 273, 269, 1703, 616, 513, 1297, 540, 3871, 538, 799, 649, 991, 547, 1265, 519, 1871, 476, 272, 269, 2560, 11790, 5627, 4632, 616, 1767, 547, 581, 15821, 2188, 269, 634, 4542, 1175, 1336, 568, 606, 1383, 540, 513, 9971, 267, 799, 568, 513, 2040, 540, 610, 3017, 540, 2474, 267, 1142, 9967, 540, 513, 4756, 6659, 547, 513, 1875, 17463, 8870, 1379, 6993, 1297, 16611, 676, 513, 4756, 6659, 547, 606, 20800, 267, 971, 607, 1269, 29575, 19570, 8961, 568, 1634, 607, 513, 11664, 5861, 4141, 13266, 666, 581, 2318, 267, 2942, 267, 610, 4642, 267, 543, 666, 581, 2898, 2338, 267, 17447, 267, 610, 8454, 269, 543, 2489, 1106, 1210, 15821, 7215, 269, 634, 4110, 540, 1142, 2165, 538, 513, 9971, 538, 1079, 4632, 568, 519, 2040, 540, 519, 23055, 538, 1142, 2165, 543, 519, 4110, 540, 519, 9971, 568, 519, 4102, 971, 2040, 269, 1367, 2165, 267, 649, 1039, 1927, 782, 540, 519, 23055, 540, 938, 4632, 267, 543, 649, 1616, 14419, 519, 4110, 540, 3331, 364, 21638, 22935, 547, 519, 4475, 267, 519, 3017, 540, 1079, 2318, 7429, 2474, 544, 543, 562, 815, 544, 910, 562, 269, 1677, 1265, 519, 3017, 540, 513, 2318, 543, 513, 2942, 7429, 2474, 15475, 267, 1491, 910, 333, 689, 544, 267, 649, 991, 547, 1921, 1312, 519, 2474, 676, 1210, 513, 12408, 1129, 1496, 332, 910, 11196, 333, 13580, 543, 2769, 519, 1267, 538, 519, 1106, 540, 544, 1341, 562, 269, 5681, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 278, 476, 272, 1547, 1280, 1383, 281, 14645, 26115, 15100, 476, 1708, 272, 18491, 11445, 5472, 7126, 27616, 269, 1677, 4194, 621, 267, 3274, 946, 8691, 267, 6498, 267, 1840, 267, 543, 12408, 950, 2556, 547, 20586, 519, 4756, 543, 4194, 585, 834, 343, 2668, 634, 12408, 540, 1079, 610, 811, 899, 2474, 568, 1776, 899, 2165, 4171, 10230, 11664, 568, 519, 12408, 540, 519, 10230, 14170, 540, 891, 899, 2474, 269, 476, 274, 15383, 345, 276, 1341, 476, 2420, 476, 276, 269, 634, 2040, 540, 1079, 610, 811, 899, 2474, 568, 513, 2582, 899, 2165, 282, 855, 519, 1079, 7429, 2474, 3112, 581, 3773, 1927, 547, 1205, 513, 2582, 2165, 269, 1403, 513, 2067, 1297, 568, 20922, 676, 562, 267, 922, 24288, 568, 630, 333, 1341, 476, 272, 1040, 23422, 540, 10789, 545, 20309, 281, 11612, 4554, 1379, 540, 519, 4756, 540, 606, 15821, 4082, 568, 1572, 922, 4110, 269, 1657, 282, 519, 7429, 2474, 616, 2451, 607, 789, 616, 269, 3267, 1323, 3830, 568, 513, 6310, 3948, 2348, 606, 1412, 16029, 547, 262, 3090, 1063, 1079, 15821, 7215, 602, 723, 3160, 2418, 269, 5412, 476, 2918, 267, 476, 1001, 280, 822, 20345, 269, 1284, 946, 5022, 1535, 267, 586, 267, 561, 267, 544, 267, 3267, 3092, 269, 1265, 519, 4110, 540, 606, 15821, 4082, 269, 1284, 1294, 2630, 1896, 1806, 269, 676, 14921, 1535, 676, 519, 3586, 476, 275, 543, 1287, 4946, 519, 3586, 476, 276, 547, 519, 1587, 269, 2560, 1284, 723, 2938, 4505, 849, 602, 12596, 543, 3652, 538, 6128, 666, 581, 2854, 538, 513, 13801, 769, 713, 2013, 267, 972, 5889, 19050, 382, 503, 338, 1152, 835, 18124, 910, 276, 6398, 476, 274, 6398, 533, 6398, 7117, 6398, 7117, 6398, 678, 538, 20800, 1106, 269, 476, 272, 269, 1265, 16733, 343, 266, 272, 7565, 343, 268, 273, 4297, 270, 9230, 343, 266, 274, 7565, 343, 268, 273, 4297, 266, 9230, 273, 343, 266, 276, 7565, 343, 266, 274, 4297, 270, 9230, 343, 266, 274, 7565, 343, 268, 273, 24270, 8827, 6657, 519, 4976, 593, 28809, 23481, 338, 547, 917, 875, 547, 1265, 519, 1455, 3815, 689, 519, 23481, 338, 269, 7215, 899, 476, 275, 343, 1341, 476, 276, 267, 476, 1015, 344, 12882, 19050, 382, 497, 476, 736, 269, 815, 263, 343, 266, 272, 19422, 276, 12169, 266, 273, 4297, 16282, 12169, 266, 273, 8358, 9230, 343, 266, 272, 7565, 343, 266, 272, 4297, 589, 2165, 568, 513, 1587, 540, 2188, 269, 1284, 7747, 602, 519, 1614, 2474, 540, 519, 959, 30796, 630, 274, 343, 267, 1284, 7747, 602, 519, 2185, 2474, 540, 519, 21335, 630, 1556, 332, 267, 544, 6398, 544, 814, 1079, 2188, 865, 547, 2769, 621, 649, 666, 2328, 544, 6398, 544, 815, 544, 267, 536, 6398, 536, 6398, 536, 814, 1614, 2188, 865, 547, 2769, 621, 649, 666, 2328, 536, 6398, 536, 6398, 536, 815, 536, 267, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 6398, 1990, 814, 5722, 2188, 865, 547 ]

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

[ 0, 2691, 519, 1390, 1165, 569, 26767, 540, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 941, 16245, 532, 3948, 5656, 593, 519, 1164, 2798, 540, 741, 1609, 919, 267, 789, 666, 2370, 723, 1634, 875, 3730, 789, 1131, 581, 547, 519, 8274, 540, 18103, 333, 766, 269, 634, 2048, 32459, 7625, 10222, 836, 1637, 540, 6628, 685, 729, 513, 25066, 5619, 267, 13175, 538, 519, 3735, 476, 1240, 628, 2540, 267, 799, 676, 8159, 5730, 10974, 540, 1713, 21056, 1131, 5512, 3810, 4977, 11837, 269, 634, 1292, 21056, 1031, 941, 5939, 838, 2231, 267, 855, 2048, 1278, 7415, 3615, 685, 941, 13603, 267, 543, 538, 519, 1101, 8717, 540, 519, 476, 866, 628, 2540, 936, 476, 2004, 20610, 267, 17633, 267, 1073, 601, 529, 802, 267, 4832, 8075, 543, 1165, 15533, 1500, 621, 883, 713, 7121, 563, 289, 10961, 23932, 18975, 265, 6763, 1164, 593, 645, 10961, 23932, 10830, 267, 2282, 1325, 333, 19213, 267, 543, 6772, 23697, 670, 592, 928, 5244, 267, 513, 1033, 3737, 12257, 2666, 2673, 547, 519, 16099, 540, 3345, 3784, 1633, 779, 9030, 6288, 693, 1325, 333, 19213, 16836, 269, 898, 729, 3710, 538, 519, 3735, 476, 1240, 628, 2540, 607, 513, 19175, 13486, 543, 3750, 2275, 520, 7815, 267, 543, 849, 607, 606, 1843, 547, 581, 10272, 593, 513, 5397, 689, 519, 14500, 998, 670, 592, 928, 5244, 269, 634, 6288, 729, 2966, 676, 2048, 1492, 538, 574, 3386, 9466, 8730, 513, 6390, 7167, 1464, 267, 2324, 609, 2199, 8030, 543, 9858, 267, 543, 729, 849, 1753, 547, 519, 21219, 540, 2923, 24834, 670, 592, 928, 30745, 267, 30996, 1639, 543, 1065, 584, 12723, 676, 519, 16099, 543, 667, 31866, 1087, 607, 513, 7333, 638, 7566, 2777, 267, 12257, 4677, 543, 2367, 4526, 773, 585, 16678, 32176, 553, 1218, 563, 293, 1168, 1165, 15533, 666, 581, 1767, 547, 723, 2047, 8329, 547, 9381, 11761, 267, 855, 835, 1383, 666, 581, 1336, 538, 519, 17681, 2370, 8498, 540, 21373, 2006, 2421, 267, 2282, 11711, 344, 269, 7216, 538, 519, 476, 866, 628, 2540, 9966, 874, 9445, 14642, 4472, 323, 652, 517, 267, 540, 21373, 2006, 2421, 8065, 267, 3576, 6149, 689, 519, 22586, 9381, 856, 322, 1886, 1572, 11711, 344, 23394, 326, 267, 543, 1031, 621, 547, 16245, 713, 15309, 545, 13675, 2895, 563, 2026, 519, 4182, 3936, 956, 883, 9363, 693, 1753, 267, 585, 4707, 513, 1514, 1272, 543, 267, 811, 18374, 267, 11564, 547, 519, 688, 2273, 816, 518, 543, 5898, 2892, 517, 267, 519, 674, 14709, 4469, 5889, 928, 2224, 3893, 547, 3206, 827, 1346, 6752, 762, 5251, 610, 23788, 1572, 1200, 2466, 1137, 267, 538, 799, 2367, 630, 26078, 636, 2406, 2021, 1185, 811, 2631, 982, 547, 4019, 585, 519, 7477, 3599, 264, 5030, 538, 10072, 269, 2060, 986, 13949, 7802, 267, 1279, 9491, 1716, 5661, 267, 543, 796, 651, 332, 696, 581, 1841, 267, 519, 1200, 332, 1080, 19347, 519, 5251, 267, 15029, 2870, 513, 2370, 12416, 585, 519, 8436, 945, 9575, 513, 630, 560, 3042, 264, 19214, 540, 519, 556, 743, 2224, 563, 763, 674, 14709, 4469, 5889, 928, 2224, 568, 4730, 2922, 1934, 609, 519, 6753, 540, 891, 1079, 3889, 267, 607, 519, 11317, 540, 519, 14252, 540, 21582, 1782, 543, 27659, 2023, 538, 15434, 1597, 267, 5045, 540, 4787, 328, 17980, 267, 1142, 3409, 513, 15224, 607, 741, 1378, 269, 16511, 1023, 616, 693, 2547, 8815, 593, 513, 28215, 281, 585, 1360, 6654, 4128, 519, 13486, 543, 533, 4883, 12386, 616, 1634, 607, 519, 17865, 543, 3212, 3899, 623, 1824, 563, 17746, 1192, 539, 2038, 538, 519, 476, 866, 628, 2540, 267, 713, 22586, 575, 8527, 1729, 729, 3710, 538, 519, 12406, 540, 16016, 548, 28386, 8065, 267, 1753, 547, 519, 10787, 17243, 1920, 269, 13536, 621, 729, 513, 7957, 10696, 5544, 540, 10906, 10787, 17243, 630, 6977, 274, 268, 4350, 278, 1070, 543, 814, 3976, 2968, 1634, 676, 519, 4898, 2685, 4313, 532, 2012, 540, 589, 2863, 645, 612, 773, 779, 717, 8527, 1729, 269, 3371, 7401, 729, 6039, 676, 519, 5234, 267, 15029, 519, 1920, 10150, 519, 8748, 2070, 547, 774, 11445, 924, 2480, 1513, 563, 19365, 4790, 762, 267, 540, 8738, 2023, 4790, 762, 538, 519, 5101, 681, 4575, 540, 31920, 267, 5747, 538, 476, 9692, 272, 269, 589, 2783, 540, 1010, 786, 729, 602, 1010, 25752, 1058, 25580, 519, 2048, 26967, 29256, 8730, 1287, 1336, 693, 7404, 670, 1023, 5069, 5939, 269, 634, 1007, 2679, 729, 547, 581, 811, 982, 1175, 513, 23789, 585, 519, 3788, 540, 5481, 540, 4790, 1963, 267, 621, 729, 849, 5497, 607, 513, 12050, 3948, 540, 519, 2956, 540, 519, 3504, 1920, 267, 543, 606, 15022, 3512, 547, 519, 10040, 563, 1103, 519, 1647, 540, 519, 476, 1240, 628, 2540, 519, 1858, 1472, 14480, 8725, 729, 796, 523, 743, 2216, 646, 987, 267, 543, 2951, 729, 513, 18660, 543, 5906, 1870, 267, 2523, 538, 519, 4158, 5162, 3275, 269, 11184, 14731, 667, 1662, 6229, 630, 10204, 279, 268, 9965, 272, 1070, 476, 273, 526, 3046, 517, 564, 267, 540, 4639, 19785, 1260, 2041, 543, 18774, 1922, 790, 11833, 21239, 267, 3357, 883, 3959, 538, 519, 1858, 950, 646, 9310, 8861, 4432, 569, 338, 540, 7404, 3143, 551, 517, 538, 476, 14690, 276, 269, 667, 1662, 6229, 25517, 519, 14480, 8725, 30346, 541, 538, 476, 11260, 272, 607, 513, 581, 13154, 547, 3391, 2048, 1492, 32066, 267, 519, 1259, 325, 2130, 24928, 267, 543, 519, 7504, 2006, 609, 1010, 546, 877, 593, 10788, 542, 17483, 1240, 628, 2540, 7977, 729, 14297, 609, 3638, 1762, 15626, 5443, 593, 519, 9835, 12875, 269, 901, 6905, 1353, 7552, 270, 3128, 6118, 4904, 519, 1296, 1063, 6101, 2069, 10678, 543, 519, 9021, 540, 9100, 1746, 606, 10040, 267, 543, 6721, 646, 15077, 540, 741, 1378, 267, 14736, 539, 538, 269, 769, 519, 2038, 1296, 540, 519, 476, 11260, 271, 338, 267, 513, 28422, 24809, 538, 7507, 1298, 1042, 593, 8176, 595, 4954, 10623, 843, 267, 966, 4593, 870, 4077, 12661, 2632, 267, 513, 1762, 9721, 546, 850, 1777, 14397, 607, 1134, 1224, 607, 646, 729, 1134, 24964, 281, 4077, 12661, 2632, 1131, 2951, 2417, 982, 1034, 543, 1294, 5527, 267, 31862, 543, 10255, 269, 10738, 1010, 5858, 585, 519, 8078, 2218, 865, 30394, 333, 538, 7977, 941, 1079, 2367, 609, 2178, 31920, 4296, 281, 7338, 5696, 644, 523, 749, 267, 31578, 23745, 540, 570, 13516, 5069, 267, 945, 1185, 513, 10160, 693, 18000, 7615, 8065, 2282, 681, 760, 517, 267, 543, 8361, 4024, 965, 2421, 540, 20002, 718, 8065, 538, 519, 5101, 681, 4575, 540, 519, 10315, 563, 4002, 519, 8492, 540, 519, 5757, 23203, 538, 519, 2749, 540, 20736, 5069, 568, 513, 2370, 8106, 4832, 5264, 1634, 607, 634, 4032, 779, 5600, 269, 898, 3217, 922, 2012, 689, 9478, 16907, 17703, 331, 2532, 328, 630, 15876, 280, 268, 8146, 278, 264, 945, 729, 4535, 609, 513, 4719, 4524, 267, 543, 2760, 8057, 26339, 982, 476, 274, 3952, 543, 476, 274, 6279, 7381, 269, 769, 1010, 4571, 1922, 677, 625, 646, 3357, 547, 6628, 543, 267, 18908, 1782, 5128, 4032, 16907, 17703, 331, 2532, 328, 267, 3533, 6591, 21239, 543, 1045, 14591, 547, 2743, 519, 9576, 1920, 543, 782, 540, 519, 2048, 1440, 4532, 7625, 3885, 685, 540, 519, 12321, 1006, 269, 0, 300, 4215, 3812, 585, 1453, 1419, 814, 7453, 6042, 543, 15366, 8060, 538, 1931, 547, 26924, 621, 3568, 3617, 1543, 585, 1453, 269, 1717, 267, 609, 519, 10006, 540, 10349, 4656, 936, 519, 2250, 1906, 1296, 267, 930, 949, 2161, 602, 972, 568, 606, 909, 543, 4947, 991, 585, 9542, 538, 7641, 2982, 267, 9413, 267, 3092, 269, 711, 1152, 585, 4079, 267, 855, 585, 1453, 607, 1134, 267, 547, 581, 811, 8537, 540, 519, 14447, 2146, 269, 769, 606, 2376, 11331, 968, 6701, 2048, 294, 599, 16474, 757, 685, 538, 2048, 6826, 2246, 344, 685, 543, 2048, 20175, 681, 13377, 685, 18776, 286, 5608, 713, 1689, 538, 2923, 1543, 568, 5941, 269, 1306, 519, 2140, 540, 519, 2376, 2829, 267, 972, 568, 7521, 936, 2436, 610, 711, 930, 10207, 538, 5295, 681, 13377, 543, 25925, 543, 519, 2142, 770, 2270, 968, 326, 599, 8090, 892, 543, 952, 891, 8090, 616, 2938, 607, 3356, 538, 519, 9913, 1870, 269, 1306, 519, 2376, 11828, 891, 8090, 941, 2938, 950, 968, 306, 21343, 666, 581, 2938, 554, 19982, 513, 812, 267, 2274, 293, 537, 3094, 802, 693, 22050, 517, 543, 2663, 23929, 609, 513, 812, 267, 543, 2558, 7236, 14543, 547, 2626, 513, 1166, 8812, 2243, 827, 2436, 1352, 779, 2348, 968, 24742, 23136, 2042, 892, 2507, 610, 968, 326, 20071, 23136, 2042, 18313, 763, 1249, 602, 972, 568, 7521, 936, 519, 1543, 3254, 538, 891, 1453, 9413, 9727, 606, 1271, 4901, 540, 938, 1362, 268, 6689, 26454, 269, 19974, 26454, 568, 13986, 547, 581, 6417, 998, 519, 1543, 938, 2486, 632, 2114, 607, 11807, 585, 1453, 547, 4585, 269, 1635, 5464, 519, 1543, 540, 2923, 585, 1453, 267, 594, 3494, 938, 2486, 568, 3843, 547, 8190, 6689, 26454, 269, 2060, 519, 7872, 540, 519, 2333, 538, 14447, 2528, 4843, 538, 1453, 779, 9413, 267, 930, 949, 8044, 602, 713, 568, 2870, 513, 1007, 4214, 540, 1018, 6689, 26454, 1797, 538, 938, 2486, 676, 3376, 2287, 519, 8552, 540, 2085, 29003, 1570, 538, 519, 1543, 1453, 2070, 269, 2201, 533, 269, 14096, 540, 519, 17161, 1557, 593, 26454, 267, 519, 2278, 2829, 602, 519, 2856, 540, 6031, 6689, 568, 17608, 568, 5732, 5739, 269, 594, 1589, 713, 3948, 12211, 547, 1250, 2376, 1317, 12062, 532, 1453, 267, 711, 1152, 689, 519, 14447, 2146, 538, 2923, 855, 824, 1919, 607, 1134, 267, 666, 6038, 581, 5739, 538, 519, 2631, 602, 789, 786, 581, 1447, 3222, 543, 7654, 1447, 16561, 540, 4763, 950, 789, 3914, 15296, 269, 769, 1489, 540, 519, 2278, 267, 594, 3858, 602, 6031, 6689, 568, 17608, 666, 581, 5732, 5739, 1317, 649, 949, 581, 12062, 532, 1453, 689, 1565, 543, 2833, 602, 948, 873, 1174, 938, 1158, 543, 1114, 4529, 269, 0, 288, 2178, 3859, 7088, 568, 1813, 547, 5734, 519, 5177, 713, 10732, 630, 278, 628, 5239, 264, 2810, 519, 4960, 540, 7524, 28050, 23768, 17729, 538, 519, 6607, 936, 10430, 543, 7187, 4789, 563, 18404, 11136, 5505, 616, 17782, 513, 717, 273, 2520, 558, 8568, 7088, 936, 1164, 547, 1647, 4234, 6421, 1519, 519, 2701, 339, 1633, 1772, 956, 267, 2107, 330, 2284, 267, 589, 828, 1372, 839, 10921, 267, 4787, 6614, 267, 595, 3518, 6319, 267, 3345, 3784, 1633, 543, 16176, 323, 8205, 267, 7064, 547, 519, 12625, 540, 513, 3532, 3859, 2842, 563, 10481, 558, 8568, 15420, 540, 713, 1826, 616, 11212, 2352, 547, 8308, 9472, 855, 267, 950, 3859, 2842, 16125, 519, 3047, 781, 5790, 267, 519, 4541, 781, 6419, 2361, 568, 22841, 269, 932, 20149, 5536, 1287, 2458, 728, 609, 31529, 5536, 267, 2495, 28050, 23768, 616, 811, 2693, 547, 2408, 563, 14722, 723, 1044, 9477, 513, 4856, 4689, 670, 1961, 4867, 6849, 519, 3047, 269, 634, 8559, 5892, 2799, 538, 2450, 267, 4929, 513, 717, 273, 2520, 558, 8568, 7088, 269, 901, 1631, 5526, 547, 581, 8345, 1586, 563, 763, 1769, 1397, 1223, 2063, 585, 3108, 267, 4966, 2161, 267, 609, 28050, 23768, 607, 7524, 607, 519, 8832, 28691, 563, 21893, 3859, 2842, 6908, 786, 2693, 1491, 827, 1079, 543, 513, 3368, 547, 1614, 2395, 547, 2951, 519, 6129, 7232, 14390, 3845, 799, 1797, 519, 3859, 2842, 6908, 568, 2693, 547, 12446, 713, 10732, 267, 476, 278, 5239, 2437, 6611, 16661, 14970, 2829, 563, 257, 9556, 4733, 717, 273, 2520, 558, 8568, 7088, 2175, 786, 581, 2009, 593, 713, 4266, 543, 5310, 2038, 593, 11728, 267, 476, 279, 628, 5239, 4799, 3383, 1141, 616, 519, 1655, 4025, 547, 1294, 519, 28050, 23768, 952, 789, 798, 2408, 286, 5890, 4215, 814, 16432, 713, 13561, 1592, 912, 22091, 4215, 814, 2813, 606, 3872, 3135, 269, 6258, 811, 1934, 281, 4179, 2517, 4178, 269, 10339, 4215, 269, 7224, 23218, 322, 11305, 10768, 752, 1084, 1790, 12711, 5991, 867, 569, 3553, 19841, 270, 0, 1103, 20668, 476, 272, 1299, 476, 273, 267, 594, 6743, 693, 875, 519, 10162, 2130, 3828, 550, 625, 3366, 547, 519, 9931, 9335, 9197, 1662, 543, 519, 4279, 12870, 269, 769, 20668, 476, 274, 1299, 476, 275, 267, 649, 3605, 875, 519, 2250, 666, 5641, 20224, 593, 938, 2104, 563, 21982, 519, 2022, 268, 4572, 280, 3510, 607, 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 ]

[ 15288, 14826, 14744, 24541, 672, 5897, 5992, 1012, 10790, 2562, 476, 19399, 19399, 19399, 5992, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 5365, 4732, 793, 531, 263, 5365, 2529, 5456, 307, 4306, 303, 267, 547, 24327, 24417, 7342, 476, 3418, 825, 533, 558, 617, 19660, 263, 512, 25284, 476, 3418, 24541, 0, 5814, 26417, 692, 4289, 320, 4671, 340, 680, 320, 815, 29129, 3698, 1711, 8217, 10031, 825, 1003, 815, 703, 9272, 2891, 28808, 516, 572, 18085, 21059, 632, 7373, 4592, 281, 27328, 825, 1247, 1003, 3436, 476, 271, 912, 1038, 2012, 815, 3403, 2891, 28808, 516, 572, 9930, 3691, 281, 19515, 1038, 2232, 815, 3403, 2891, 28808, 516, 572, 25680, 764, 542, 281, 19515, 1038, 2085, 815, 3403, 2891, 28808, 516, 572, 1196, 611, 281, 19515, 1038, 30458, 4671, 340, 680, 320, 6910, 9230, 263, 4067, 267, 2232, 267, 2085, 21875, 1038, 1003, 815, 1003, 910, 476, 272, 22562, 825, 2132, 30458, 4671, 340, 680, 320, 692, 3698, 1711, 32269, 263, 1173, 272, 2187, 825, 609, 1930, 3488, 12849, 27406, 3299, 1412, 342, 3299, 1007, 1467, 284, 5257, 264, 607, 3758, 912, 1038, 5856, 815, 26417, 9884, 31581, 31526, 994, 1038, 5856, 9884, 31581, 578, 263, 2891, 4067, 2580, 834, 5417, 816, 2580, 834, 720, 27363, 1038, 5856, 9884, 31581, 3298, 263, 1173, 272, 2020, 22056, 32269, 263, 22056, 8217, 31156, 2745, 17338, 320, 4671, 340, 680, 320, 264, 0, 5814, 26417, 692, 258, 6358, 18316, 815, 26417, 6185, 1112, 5649, 518, 263, 13449, 2891, 3000, 539, 553, 27406, 27363, 4289, 320, 815, 29129, 454, 5976, 1930, 3488, 3000, 539, 553, 27406, 3299, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 825, 5467, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 12803, 994, 825, 585, 4737, 538, 5467, 912, 1038, 1948, 2745, 5560, 1112, 21405, 4917, 1038, 30458, 6910, 5560, 1112, 21405, 11723, 2745, 17338, 320, 994, 1363 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 942, 454, 5814, 30220, 454, 5814, 2415, 27785, 454, 5814, 5299, 454, 5814, 621, 1068, 8962, 692, 258, 4632, 454, 5503, 815, 1496, 276, 267, 476, 1428, 267, 476, 1789, 267, 476, 6344, 267, 476, 13301, 2639, 9724, 815, 1496, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1321, 267, 476, 1428, 2639, 13232, 815, 1496, 272, 269, 276, 267, 273, 267, 274, 267, 276, 267, 1015, 2639, 338, 869, 815, 1496, 273, 267, 274, 267, 275, 267, 277, 6540, 454, 258, 9724, 267, 13232, 29679, 869, 267, 5503, 454, 258, 3252, 454, 3698, 1293, 15305, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 2187, 825, 1293, 815, 7003, 6600, 770, 12684, 6352, 9852, 573, 12684, 6352, 4433, 869, 12684, 6352, 263, 5503, 994, 825, 2132, 1293, 692, 3698, 5352, 6958, 332, 560, 6600, 31599, 29679, 25722, 2187, 825, 1820, 19304, 6600, 4917, 825, 535, 332, 560, 815, 1496, 325, 267, 325, 265, 332, 267, 325, 265, 332, 265, 338, 25722, 2639, 825, 2132, 535, 332, 560, 692, 3698, 5352, 6958, 332, 560, 15305, 6025, 652, 2187, 825, 1948, 2745, 19304, 6600, 4917, 825, 535, 332, 560, 815, 1496, 11687, 314, 271, 3910, 11687, 314, 271, 30297, 11687, 314, 272, 3910, 11687, 314, 271, 30297, 11687, 314, 272, 30297, 11687, 314, 273, 3910, 11687, 314, 274, 27663, 825, 2132, 535, 332, 560, 692, 3698, 18287, 318, 16118, 6600, 332, 560, 2187, 825, 7443, 815, 535, 332, 560, 314, 271, 316, 1341, 535, 332, 560, 314, 272, 316, 1341, 535, 332, 560, 314, 273, 316, 1341, 535, 332, 560, 314, 274, 2639, 825, 1820, 2891, 3682, 7257, 281, 834, 1341, 1193, 263, 16118, 4917, 825, 2132, 7443, 692, 3698, 8763, 10857, 2187, 825, 3193, 26371, 815, 3193, 10857, 994, 825, 3193, 16182, 343, 815, 561, 28827, 32384, 26371, 994, 825, 2132, 3193, 16182, 343, 267, 3193, 26371, 692, 3698, 5352, 15305, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 2187, 825, 1449, 815, 621, 1068, 8962, 4877, 6055, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 994, 825, 2132, 1449, 7531, 258, 1292, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1775, 815, 476, 271, 454, 825, 535, 332, 560, 815, 11713, 825, 1449, 815, 5352, 15305, 6600, 770, 267, 13232, 29679, 869, 267, 5503, 2020, 825, 1449, 18045, 815, 7003, 17338, 6025, 652, 4917, 825, 7443, 815, 1496, 271, 30297, 11687, 18045, 692, 825, 1820, 3488, 1366, 9339, 5073, 825, 1699, 22710, 815, 30220, 6155, 520, 8135, 269, 852, 4590, 825, 1820, 2891, 14630, 5384, 281, 260, 338, 476, 834, 4939, 630, 9690, 22710, 4917, 825, 1820, 2891, 14818, 1293, 281, 260, 338, 476, 834, 4939, 630, 11687, 18045, 4917, 825, 1948, 2745, 2891, 14818, 281, 260, 338, 476, 834, 4939, 630, 11687, 23584, 3890, 11723, 825, 535, 332, 560, 815, 5352, 6958, 332, 560, 263, 273, 267, 274, 267, 275, 267, 276, 994, 825, 1820, 2891, 14818, 281, 260, 338, 476, 834, 4939, 630, 11687, 11723, 825, 1247, 1775, 2999, 476, 274, 10778, 1038, 1820, 2891, 328, 2433, 260, 338, 476, 834, 4939, 630, 328, 11723, 1038, 585, 1535, 538, 1449, 912, 2018, 1820, 3287, 994, 2018, 535, 332, 560, 815, 5352, 6958, 332, 560, 3287, 314, 271, 3910, 343, 314, 272, 3910, 343, 314, 273, 3910, 343, 314, 274, 7481, 2018, 1820, 6600, 332, 560, 994, 2018, 7443, 5157, 316, 815, 18287, 318, 16118, 6600, 332, 560, 2020, 1038, 1775, 284, 328, 266, 272, 692, 825, 3193, 16182, 343, 267, 3193, 26371, 815, 8763, 263, 16118, 994, 825, 1820, 2891, 16655, 7329, 343, 281, 834, 1341, 1193, 32384, 16182, 343, 4917, 825, 1820, 2891, 16655, 1130, 281, 834, 1341, 1193, 32384, 26371, 264, 9239, 825, 1820, 3488, 1366, 9339, 5073, 0, 5814, 556, 1477, 2745, 2891, 10485, 6573, 4041, 623, 312, 8025, 2177, 476, 595, 3201, 290, 8085, 2969, 3036, 14744, 2745, 2891, 13911, 1412, 304, 3726, 262, 1677, 1401, 527, 14826, 257, 10142, 2181, 2365, 815, 476, 271, 1477, 14725, 815, 6936, 5897, 3698, 1685, 318, 4118, 28399, 825, 2518, 2196, 1477, 825, 2518, 3105, 1477, 825, 3830, 284, 3269, 1477, 825, 952, 3105, 2525, 271, 6769, 1038, 3830, 284, 6358, 2891, 10938, 3830, 14744, 825, 3116, 6769, 1038, 3830, 284, 3403, 19304, 263, 2181, 2365, 17903, 825, 952, 3830, 31573, 3890, 2525, 262, 10181, 262, 6769, 1038, 1820, 2891, 14187, 1635, 324, 2073, 10048, 10590, 3418, 1038, 2196, 25716, 1477, 825, 3116, 6769, 1038, 3830, 284, 516, 16553, 3488, 314, 320, 22271, 288, 19053, 11783, 281, 3890, 3269, 316, 12887, 3299, 3225, 566, 3418, 1038, 952, 3105, 2525, 271, 6769, 2018, 3105, 284, 24834, 263, 3225, 566, 3418, 1038, 3116, 6769, 2018, 3105, 815, 859, 531, 19304, 263, 2181, 2365, 264, 1341, 3830, 10142, 6112, 2196, 6769, 825, 1685, 318, 4118, 14052, 0, 5228, 5299, 1104, 2620, 32476, 454, 5228, 4351, 1104, 28219, 9792, 454, 5228, 3611, 659, 28904, 1104, 3611, 659, 20199, 267, 2361, 454, 5228, 17511, 1104, 5903, 267, 16515, 921, 454, 5228, 21773, 1104, 2037, 636, 7531, 5035, 667, 3925, 263, 5319, 636, 2187, 825, 5727, 300, 8221, 4287, 6041, 692, 825, 18880, 454, 825, 476, 19567, 825, 24505, 267, 667, 32052, 267, 700, 9128, 307, 267, 681, 20846, 692, 825, 853, 1738, 2409, 454, 825, 28612, 19567, 825, 568, 318, 641, 22683, 6600, 1009, 267, 2034, 2567, 536, 944, 454, 1038, 568, 602, 1079, 2418, 6587, 888, 825, 8173, 825, 24505, 267, 667, 32052, 267, 700, 9128, 307, 267, 681, 20846, 815, 476, 272, 267, 910, 272, 267, 476, 273, 267, 910, 273, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 318, 641, 22683, 6600, 1009, 267, 2034, 264, 9847, 536, 944, 912, 1038, 5727, 3674, 1079, 2418, 6587, 692, 1038, 898, 786, 581, 6936, 585, 7440, 281, 630, 16810, 267, 667, 32052, 1070, 630, 291, 32052, 267, 24505, 1070, 630, 4041, 10499, 267, 681, 20846, 264, 543, 454, 1038, 630, 305, 20846, 267, 700, 9128, 307, 2020, 1038, 1488, 7714, 912, 2018, 1101, 630, 291, 3925, 2567, 835, 1843, 454, 2018, 2034, 630, 291, 3925, 2567, 1776, 1843, 692, 1038, 16849, 912, 2018, 536, 944, 281, 568, 6587, 888, 1038, 8173, 1038, 2132, 630, 14140, 27841, 1341, 2034, 27841, 264, 2652, 476, 271, 7531, 287, 323, 520, 659, 20199, 454, 5035, 10934, 912, 825, 5727, 11847, 19948, 540, 4786, 692, 825, 5900, 1026, 2373, 454, 825, 28612, 13430, 825, 2450, 281, 16515, 921, 27776, 267, 703, 2639, 1038, 3586, 2450, 540, 4786, 630, 12296, 267, 4463, 264, 538, 2281, 454, 825, 2281, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 27663, 1038, 1592, 540, 6821, 10974, 593, 4786, 454, 825, 8173, 825, 9041, 21653, 281, 16515, 921, 27776, 267, 703, 2639, 825, 9041, 3250, 338, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 14963, 815, 2361, 263, 29239, 318, 16371, 284, 4289, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 2450, 4311, 264, 9847, 16515, 921, 27776, 267, 703, 14158, 1038, 5727, 24961, 2450, 538, 2281, 692, 1038, 16849, 912, 2018, 16515, 921, 27776, 267, 703, 13912, 8700, 267, 4463, 454, 1038, 8173, 1038, 2132, 1582, 11519, 21653, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2281, 4311, 264, 9847, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 14158, 1038, 5727, 303, 657, 1431, 540, 6821, 593, 4786, 692, 1038, 16849, 912, 2018, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 13912, 1592, 540, 630, 343, 267, 586, 264, 10974, 540, 6821, 454, 1038, 8173, 1038, 2132, 1582, 11519, 3250, 338, 7531, 287, 323, 520, 659, 20199, 454, 5035, 31315, 912, 825, 5727, 11847, 19948, 540, 13131, 543, 621, 781, 1699, 1533, 692, 825, 5900, 1026, 2373, 454, 825, 28612, 13430, 825, 4287, 281, 667, 3925, 454, 1038, 13131, 3350, 4287, 454, 825, 2990, 281, 16515, 921, 27776, 267, 703, 2639, 1038, 2990, 540, 13131, 781, 2212, 630, 343, 267, 586, 994, 825, 1560, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 27663, 1038, 1592, 540, 10974, 540, 13131, 781, 1560, 2281, 454, 825, 8173, 825, 4287, 281, 667, 3925, 815, 667, 3925, 10611, 20846, 454, 825, 9041, 6570, 281, 16515, 921, 27776, 267, 703, 316, 815, 630, 1015, 267, 476, 276, 994, 825, 9041, 7853, 281, 5903, 314, 307, 340, 921, 27776, 267, 703, 14963, 31386, 454, 1038, 2361, 263, 29239, 318, 16371, 284, 14433, 281, 27883, 1015, 267, 476, 276, 1070, 630, 1015, 910, 476, 272, 267, 476, 276, 1070, 630, 1015, 910, 476, 273, 267, 476, 276, 13580, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 2990, 4311, 264, 9847, 667, 3925, 912, 1038, 5727, 303, 3789, 540, 13131, 781, 2212, 692, 1038, 6423, 912, 2018, 2387, 19956, 6185, 3925, 26384, 1038, 16849, 912, 2018, 667, 3925, 281, 4287, 21773, 454, 1038, 8173, 1038, 2132, 1582, 11519, 6570, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1560, 4311, 264, 9847, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 14158, 1038, 5727, 8266, 540, 10974, 540, 13131, 781, 1560, 692, 1038, 16849, 912, 2018, 5903, 314, 307, 340, 921, 27776, 267, 703, 316, 13912, 1592, 540, 10974, 454, 1038, 8173, 1038, 2132, 1582, 11519, 7853, 692, 825, 1219, 9041, 332, 913, 318, 3650, 4311, 2187, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 16810, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 3910, 1582, 11519, 6570, 314, 272, 316, 910, 476, 272, 454, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 6185, 32052, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 3910, 1582, 11519, 6570, 314, 272, 316, 1341, 476, 272, 454, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 269, 4041, 10499, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 316, 910, 476, 272, 267, 1582, 11519, 6570, 314, 272, 2639, 1038, 952, 1582, 6155, 3925, 2652, 667, 3925, 10611, 20846, 912, 2018, 1582, 11519, 6570, 815, 1582, 11519, 6570, 314, 271, 316, 1341, 476, 272, 267, 1582, 11519, 6570, 314, 272, 6540, 454, 287, 323, 520, 659, 20199, 454, 5035, 10794, 912, 825, 5727, 11847, 19948, 540, 1699, 3014, 1533, 692, 825, 12830, 912, 825, 28612, 7042, 825, 2422, 2387, 8181, 13237, 1505, 547, 946, 2813, 1843, 1318, 2476, 1310, 5137, 692, 825, 5900, 1026, 2373, 454, 825, 28612, 14945, 825, 4786, 281, 10934, 454, 1038, 1699, 4786, 1533, 454, 825, 9949, 5334, 333, 820, 281, 31315, 454, 1038, 9949, 13131, 1533, 454, 825, 13131, 281, 31315, 454, 1038, 1699, 13131, 1533, 454, 825, 6060, 281, 703, 454, 1038, 1293, 540, 13881, 1426, 676, 13131, 538, 713, 3014, 454, 825, 568, 14682, 877, 318, 1478, 281, 536, 944, 454, 1038, 568, 3014, 8694, 454, 825, 1426, 29223, 281, 16515, 921, 27776, 267, 703, 2639, 1038, 1699, 2990, 540, 1426, 593, 4786, 454, 825, 8173, 825, 9041, 14090, 281, 10934, 454, 825, 9041, 29239, 5334, 333, 820, 281, 31315, 454, 825, 9041, 338, 333, 820, 281, 31315, 815, 31315, 4590, 825, 9041, 16557, 281, 703, 815, 476, 271, 454, 825, 9041, 529, 14682, 877, 318, 1478, 281, 536, 944, 815, 8771, 454, 825, 9041, 25988, 29223, 281, 16515, 921, 27776, 267, 703, 316, 815, 630, 271, 267, 476, 271, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 4786, 4311, 264, 9847, 10934, 912, 1038, 5727, 14483, 3014, 4786, 6041, 28329, 1038, 6423, 912, 2018, 2433, 5035, 281, 319, 19956, 8160, 777, 26384, 1038, 16849, 912, 2018, 10934, 281, 4786, 1843, 454, 1038, 8173, 1038, 2132, 1582, 11519, 14090, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 9949, 5334, 333, 820, 4311, 264, 9847, 31315, 912, 1038, 5727, 9377, 5435, 13131, 1533, 593, 3355, 1436, 692, 1038, 16849, 912, 2018, 31315, 281, 9949, 1533, 454, 1038, 8173, 1038, 2132, 1582, 11519, 29239, 5334, 333, 820, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 13131, 4311, 264, 9847, 31315, 912, 1038, 5727, 14483, 13131, 1533, 692, 1038, 6423, 2433, 5035, 281, 319, 19956, 2529, 333, 820, 26384, 1038, 16849, 912, 2018, 31315, 281, 13131, 6041, 454, 1038, 8173, 1038, 2132, 1582, 11519, 338, 333, 820, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 6060, 4311, 264, 9847, 703, 912, 1038, 5727, 14483, 6060, 630, 12248, 540, 13881, 13212, 676, 13131, 2020, 1038, 16849, 912, 2018, 703, 281, 6060, 454, 1038, 8173, 1038, 2132, 1582, 11519, 16557, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 568, 14682, 877, 318, 1478, 4311, 264, 9847, 536, 944, 912 ]

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

[ 3585, 2059, 519, 804, 600, 1606, 17850, 4496, 540, 713, 4155, 286, 7316, 543, 1946, 888, 14071, 1522, 6749, 1472, 543, 1294, 6341, 6519, 513, 8792, 267, 519, 3781, 779, 865, 5386, 3034, 2108, 3383, 649, 1522, 269, 594, 5873, 2995, 646, 729, 17966, 514, 685, 513, 959, 604, 548, 19108, 3034, 10521, 14788, 338, 540, 1769, 267, 18297, 689, 24076, 267, 8868, 2066, 519, 4158, 269, 5565, 610, 2125, 267, 6727, 543, 1025, 4193, 267, 30321, 909, 609, 513, 2879, 677, 547, 3750, 519, 12667, 2025, 2367, 563, 2108, 2080, 789, 616, 1631, 2223, 2501, 513, 5639, 856, 540, 519, 13442, 563, 2108, 3963, 2223, 3154, 1186, 29871, 267, 968, 604, 11313, 1555, 1406, 519, 6519, 8695, 256, 685, 685, 30037, 267, 1025, 9722, 883, 519, 2212, 7547, 267, 3076, 1206, 513, 556, 9037, 5639, 281, 968, 2171, 729, 3808, 707, 1259, 267, 8695, 3034, 2108, 11039, 267, 8575, 1767, 649, 1058, 3247, 676, 543, 2995, 596, 267, 543, 4688, 596, 519, 7552, 269, 898, 3513, 581, 11016, 693, 1079, 267, 519, 1187, 685, 1537, 3034, 763, 20599, 2695, 1846, 972, 593, 922, 12285, 688, 31708, 267, 1625, 2590, 267, 2542, 741, 29749, 8188, 269, 2991, 513, 2370, 621, 3081, 281, 968, 2791, 9364, 4862, 827, 21081, 685, 11985, 267, 22821, 1406, 596, 286, 654, 550, 2063, 1256, 514, 8730, 9602, 267, 1100, 1928, 269, 1656, 621, 779, 11016, 693, 1079, 1848, 3465, 1836, 621, 3947, 873, 936, 585, 31945, 3283, 267, 536, 25555, 1472, 538, 519, 4155, 543, 12535, 1055, 909, 519, 1130, 324, 267, 6028, 741, 4064, 2407, 540, 6801, 563, 2108, 21579, 17373, 3081, 835, 563, 2108, 21579, 17373, 3081, 519, 824, 269, 2334, 779, 782, 563, 22818, 621, 779, 519, 1259, 621, 5949, 267, 519, 3942, 13716, 338, 282, 5310, 621, 779, 1945, 1279, 2392, 652, 1441, 538, 519, 11706, 540, 741, 1296, 269, 3143, 2339, 267, 519, 3781, 814, 5828, 513, 7944, 543, 1831, 3284, 32565, 563, 21579, 6519, 568, 8854, 563, 1103, 16563, 789, 726, 617, 1394, 269, 1358, 726, 617, 1394, 4724, 519, 21799, 540, 519, 2121, 1154, 267, 519, 32210, 4458, 7890, 540, 519, 4158, 2777, 269, 12619, 269, 14134, 338, 563, 3719, 267, 1100, 1606, 597, 256, 3502, 676, 513, 3880, 8289, 267, 789, 4465, 1406, 269, 1358, 30021, 519, 4155, 543, 25176, 621, 693, 1318, 7285, 2066, 519, 16602, 3723, 532, 540, 519, 6710, 3766, 14993, 563, 257, 5445, 3343, 1216, 267, 543, 5884, 538, 519, 1930, 1848, 2048, 6546, 779, 14148, 563, 3719, 1946, 782, 713, 286, 1358, 6785, 6341, 1185, 547, 979, 19692, 610, 2663, 543, 2285, 936, 1010, 1454, 540, 4055, 547, 519, 13059, 3552, 518, 268, 562, 612, 543, 519, 16246, 29500, 269, 3807, 607, 789, 917, 602, 5484, 329, 773, 543, 2506, 828, 786, 723, 547, 2285, 936, 741, 338, 267, 543, 789, 2933, 267, 543, 1577, 519, 13110, 15729, 979, 1524, 269, 9894, 333, 1406, 789, 917, 602, 888, 5445, 2461, 25064, 267, 855, 596, 666, 1406, 8044, 621, 269, 898, 779, 1945, 538, 713, 3781, 267, 1945, 1577, 10690, 267, 1945, 602, 5083, 1132, 543, 6172, 2125, 909, 741, 7953, 899, 513, 911, 4034, 344, 540, 4222, 267, 1776, 1126, 268, 26372, 269, 1924, 789, 804, 600, 828, 585, 782, 789, 2461, 4502, 267, 538, 16563, 267, 741, 28182, 1930, 267, 607, 952, 621, 941, 3020, 602, 519, 14860, 3297, 729, 11423, 909, 609, 519, 6360, 563, 5445, 1413, 1394, 950, 789, 3914, 519, 30160, 540, 2701, 788, 10830, 267, 543, 689, 519, 4463, 789, 1294, 519, 2197, 5432, 547, 873, 267, 11425, 676, 11425, 540, 922, 25649, 4779, 832, 267, 922, 546, 17480, 543, 23090, 23047, 1127, 267, 3262, 540, 513, 6727, 9735, 543, 12368, 344, 24406, 641, 1194, 896, 713, 3781, 269, 4024, 27984, 685, 268, 1492, 2914, 529, 1186, 543, 15293, 1922, 2231, 563, 2467, 779, 3627, 19598, 542, 779, 2777, 267, 896, 519, 13105, 540, 5685, 3724, 267, 513, 13304, 547, 519, 7532, 269, 3627, 5747, 513, 1434, 8938, 1296, 3516, 267, 543, 1010, 8250, 779, 1920, 6410, 547, 19578, 269, 8616, 972, 5654, 547, 581, 513, 1769, 538, 621, 267, 513, 979, 4565, 514, 17869, 269, 25272, 645, 3420, 5293, 593, 538, 519, 11313, 333, 6839, 625, 282, 1010, 1453, 2661, 538, 11968, 13353, 282, 519, 1753, 268, 269, 8669, 267, 6456, 896, 519, 10412, 6229, 338, 538, 519, 25065, 267, 10741, 606, 3750, 538, 11397, 536, 753, 31649, 23769, 2044, 269, 1656, 972, 1586, 269, 1306, 952, 972, 941, 1004, 267, 5095, 256, 1656, 972, 1586, 269, 6145, 513, 17689, 593, 645, 11448, 334, 30577, 2336, 2467, 779, 835, 3693, 602, 2760, 914, 7590, 267, 855, 2141, 4249, 4023, 269, 1403, 519, 2244, 568, 4730, 15361, 609, 707, 4064, 267, 2025, 8593, 3298, 267, 2490, 873, 547, 519, 4262, 563, 10907, 1484, 519, 1216, 519, 6607, 4724, 11785, 2982, 513, 3735, 3138, 558, 540, 546, 23677, 267, 23060, 26700, 1524, 538, 519, 8272, 337, 1681, 10750, 269, 3502, 2484, 21369, 267, 2066, 519, 5023, 540, 519, 595, 913, 267, 513, 13278, 2006, 521, 5661, 267, 1010, 3897, 544, 6814, 16245, 538, 519, 803, 698, 516, 30089, 269, 674, 691, 615, 11397, 267, 4724, 519, 8279, 593, 3038, 4532, 564, 1144, 13272, 267, 513, 20599, 6013, 693, 1964, 593, 519, 4262, 563, 3383, 519, 4262, 267, 1932, 267, 568, 18348, 1043, 547, 5991, 697, 267, 1256, 519, 4262, 269, 898, 705, 1938, 2274, 12858, 11936, 269, 2274, 12858, 11936, 25738, 513, 1291, 523, 267, 27823, 838, 719, 282, 605, 323, 16406, 13442, 267, 13504, 15918, 871, 267, 543, 1651, 663, 27853, 3613, 686, 6244, 563, 257, 9515, 2097, 538, 649, 996, 2599, 2389, 709, 1076, 2223, 3081, 513, 5639, 563, 2467, 779, 1776, 5349, 7815, 593, 2701, 788, 10830, 269, 1261, 14340, 689, 513, 11824, 13807, 636, 17382, 693, 741, 3952, 267, 2212, 1652, 267, 1317, 646, 814, 1010, 10359, 695, 1177, 331, 3772, 936, 1010, 2212, 563, 14881, 2760, 2938, 1200, 581, 4078, 267, 519, 525, 6928, 267, 543, 602, 779, 16168, 1317, 1250, 7911, 4422, 552, 523, 1200, 267, 543, 1352, 779, 561, 752, 513, 2749, 267, 646, 3081, 269, 17823, 1399, 5991, 710, 512, 685, 748, 663, 9522, 256, 1548, 596, 917, 827, 602, 18313, 1432, 267, 8197, 267, 798, 789, 917, 827, 602, 286, 31453, 602, 519, 3781, 568, 3843, 547, 1404, 873, 1776, 8945, 269, 27006, 602, 14692, 593, 519, 20224, 856, 972, 267, 11999, 282, 607, 1498, 513, 4487, 543, 513, 19898, 540, 606, 538, 1260, 1706, 762, 7256, 3794, 800, 941, 547, 581, 3144, 538, 676, 513, 795, 652, 607, 6094, 607, 602, 267, 513, 6928, 11999, 607, 32210, 7256, 3794, 1559, 593, 835, 1183, 601, 2336, 14881, 2995, 596, 2223, 3081, 519, 12094, 267, 968, 28205, 2296, 10458, 267, 891, 2885, 2335, 267, 789, 3893, 1100, 6139, 978, 593, 721, 1631, 269, 2290, 1554, 721, 4892, 649, 649, 601, 581, 607, 581, 1122, 513, 11288, 4182, 607, 789, 568, 593, 519, 4262, 282, 596, 4585, 3034, 2005, 779, 1932, 4686, 269, 29871, 543, 30037, 1930, 741, 28182, 547, 669, 22976, 267, 543, 1354, 789, 666, 669, 22976, 267, 513, 3905, 267, 733, 3319, 6681, 10845, 814, 3893, 538, 741, 31462, 1846, 3079, 563, 2108, 8005, 616, 596, 9495, 789, 3956, 267, 543, 968, 8489, 596, 689, 9495, 8409, 9739, 602, 678, 836, 267, 2407, 2914, 14800, 267, 6207, 267, 936, 519, 1232, 802, 540, 519, 3043, 804, 26802, 540, 519, 1296, 950, 519, 1158, 6299, 5523, 922, 4064, 269, 661, 577, 3996, 1631, 563, 292, 577, 3996, 267, 9811, 267, 855, 30172, 1869, 4996, 1170, 656, 269, 634, 2212, 1652, 10793, 2987, 7308, 1532, 2135, 4992, 10099, 3481, 268, 629, 871, 543, 2192, 693, 8897, 563, 2108, 2662, 19351, 2914, 14833, 993, 594, 286, 4270, 267, 594, 7058, 596, 917, 803, 267, 2725, 6856, 30179, 3122, 269, 1411, 917, 2494, 3241, 4858, 1146, 5633, 269, 1411, 2938, 803, 5180, 726, 550, 2465, 267, 594, 7058, 269, 4595, 2947, 1032, 594, 3893, 519, 525, 2025, 19598, 542, 1747, 1394, 1934, 267, 5186, 560, 689, 13343, 1889, 324, 519, 5259, 269, 594, 7058, 596, 917, 803, 267, 782, 1318, 3034, 2108, 2791, 1810, 1406, 917, 2494, 3241, 645, 4048, 17147, 5213, 1406, 917, 631, 15967, 519, 28988, 2548, 18313, 2108, 8072, 22142, 5873, 519, 2012, 269, 8550, 28461, 2108, 2791, 32503, 1765, 6866, 5873, 522, 685, 1250, 7911, 2977, 26234, 18313, 22068, 775, 269, 2334, 814, 2944, 585, 1864, 269, 898, 814, 2944, 585, 873, 267, 1932, 282, 2944, 13300, 269, 4256, 3952, 616, 4396, 593, 741, 1378, 14629, 1586, 543, 789, 2253, 547, 13486, 269, 9093, 1996, 536, 690, 625, 267, 2367, 786, 3094, 1169, 942, 563, 2005, 779, 3020, 269, 634, 838, 809, 18387, 1406, 513, 2262, 269, 3465, 1836, 646, 5956, 547, 28201, 1354, 741, 4064, 267, 513, 973, 5338, 22090, 704, 540, 5070, 269, 21661, 519, 14629, 9008, 543, 1524, 519, 9386, 519, 1279, 267, 3109, 267, 10982, 14801, 8731, 810, 8709, 8460, 4110, 676, 4110, 883, 519, 4158, 1657, 519, 15865, 595, 913, 14371, 633, 891, 2025, 8593, 3298, 606, 10759, 543, 789, 3513, 1491, 513, 13304, 269, 634, 20949, 547, 11654, 267, 547, 3535, 1864, 5722, 24670, 267, 547, 7715, 267, 547, 18061, 621, 593, 267, 568, 1932, 2178, 269, 7439, 568, 621, 15587, 713, 602, 688, 6160, 873, 547, 519, 22501, 10511, 823, 1141, 646, 20374, 269, 570, 8922, 874, 814, 2016, 6727, 5368, 547, 8823, 282, 741, 3952, 616, 538, 2025, 10092, 267, 741, 10209, 1132, 530, 698, 563, 257, 8855, 602, 3781, 519, 8907, 17907, 2097, 2879, 17274, 514, 685, 18313, 2108, 8855, 519, 1236, 858, 5377, 5346, 593, 519, 11824, 609, 519, 1614, 3046, 685, 3149, 540, 15555, 896, 621, 267, 543, 803, 896, 621, 609, 11313, 655, 543, 1250, 7953, 9575, 856, 676, 519, 7784, 685, 331, 267, 2407, 538, 2070, 18313, 2108, 13434, 685, 937, 519, 32531, 554, 913, 547, 856, 972, 267, 11313, 321, 719, 1141, 602, 13278, 2006, 23933, 1631, 18313, 10527, 14062, 267, 3649, 685, 333, 1406, 621, 286, 1656, 26442, 571, 9540, 18313, 5445, 23249, 269, 623, 1021, 286, 7316, 616, 789, 286, 1548, 538, 519, 2012, 540, 8614, 327, 9655, 777, 1002, 616, 789, 3257, 1934, 267, 2025, 13733, 267, 804, 15781, 4571, 3118, 540, 519, 10511, 527, 748, 5070, 286, 901, 1454, 568, 1978, 281, 952, 789, 1810, 1406, 6952, 741, 2669, 835, 1259, 789, 3580, 6952, 621, 1776, 563, 5445, 23249, 269, 670, 6064, 1359, 1524, 538, 2370, 5070, 1606, 331, 1938, 267, 789, 22401, 693, 519, 939, 531, 4364, 11634, 3019, 518, 269, 769, 519, 25865, 19986, 5182, 2775, 621, 1522, 5963, 581, 519, 14062, 267, 543, 18279, 26442, 571, 21786, 1782, 519, 16064, 543, 21400, 1010, 31953, 518, 543, 11842, 1018, 779, 4636, 609, 519, 30179, 3122, 8695, 11849, 648, 269, 1358, 22401, 693, 519, 7535, 540, 519, 29504, 2630, 873, 267, 543, 972, 519, 5182, 2775, 267, 31743, 519, 678, 31454, 267, 649, 2314, 8988, 8631, 540, 9909, 267, 8544, 1337, 267, 31402, 269, 634, 10971, 616, 1762, 563, 2108, 13434, 262, 937, 602, 3781, 267, 552, 327, 18313, 300, 14709, 256, 589, 32436, 1167, 867, 269, 589, 678, 3424, 540, 5348, 19817, 566, 267, 32561, 267, 27647, 545, 282, 513, 13556, 5023, 267, 606, 8900, 2212, 282, 513, 3368, 268, 2023, 14903, 267, 513, 5259, 563, 5591, 267, 1498, 256, 1635, 19711, 267, 1100, 256, 631, 14709, 267, 789, 2461, 6158, 540, 269, 631, 14709, 2336, 9515, 729, 519, 7385, 540, 835, 267, 519, 11078, 2987, 25237, 540, 519, 824, 269, 13012, 723, 3592, 7979, 31090, 602, 8635, 269, 1677, 1142, 1352, 2501, 1394, 782, 635, 17165, 267, 782, 2703, 850, 22838, 267, 782, 11419, 269, 589, 4807, 540, 1346, 2395, 563, 2108, 8855, 631, 14709, 602, 3781, 267, 30037, 286, 1411, 7948, 1406, 1294, 1200, 267, 1498, 267, 543, 596, 12758, 896, 519, 1236, 858, 282, 519, 1259, 1352, 2097, 2468, 653, 514, 685, 1524, 689, 1631, 12742, 267, 30321, 835, 1413, 693, 707, 25192, 5186, 653, 514, 685, 856, 899, 513, 8423, 1598, 2426, 14854, 267, 1305, 1524, 593, 519, 1236, 858, 267, 22619, 1221, 1200, 1236, 16630, 856, 936, 267, 543, 1305, 972, 575, 5074, 693, 519, 6801, 607, 865, 828, 3697, 607, 952, 1352, 729, 538, 519, 4356, 540, 5182, 3766, 1794, 514, 685, 1169, 3781, 609, 513, 8929, 30516, 9788, 2066 ]

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

[ 12072, 17750, 994, 3546, 952, 4484, 17750, 711, 538, 2626, 912, 7386, 1820, 2891, 5591, 971, 4484, 538, 519, 2262, 5602, 7386, 4636, 4671, 1307, 6834, 476, 272, 454, 2018, 3116, 912, 3546, 1820, 2891, 2791, 2907, 29921, 713, 4484, 5602, 3546, 3136, 692, 1038, 20726, 815, 9337, 20189, 842, 263, 24987, 267, 20726, 267, 4484, 17750, 2020, 1038, 952, 20726, 2652, 2626, 912, 2018, 1820, 2891, 2791, 31665, 519, 2262, 256, 315, 333, 257, 1341, 20726, 1341, 27719, 333, 2791, 15068, 32405, 2018, 2736, 692, 1038, 952, 4636, 4671, 1307, 2652, 13290, 912, 2018, 1820, 2891, 2791, 616, 554, 6548, 10590, 9239, 2745, 2891, 295, 589, 715, 717, 631, 589, 715, 5602, 18524, 318, 8218, 815, 6936, 692, 6112, 3014, 318, 8218, 912, 825, 3014, 14067, 9850, 815, 3403, 3488, 13911, 834, 2452, 257, 547, 1404, 519, 3014, 267, 834, 1410, 527, 257, 547, 16718, 281, 30386, 825, 952, 3014, 14067, 9850, 2652, 834, 2452, 13426, 1038, 538, 14682, 877, 4590, 825, 8640, 3014, 14067, 9850, 2652, 834, 1410, 527, 13426, 1038, 3014, 318, 8218, 815, 8771, 454, 1038, 2736, 454, 0, 639, 340, 926, 657, 815, 2715, 10926, 692, 639, 340, 926, 657, 815, 19127, 825, 834, 577, 2314, 9899, 14277, 2419, 2314, 798, 476, 279, 2580, 834, 2190, 270, 1321, 270, 1001, 279, 2580, 834, 3725, 576, 335, 318, 4905, 257, 16689, 825, 834, 638, 4815, 9899, 14277, 5226, 4815, 546, 553, 1166, 2803, 2580, 834, 736, 270, 1321, 270, 1001, 279, 2580, 834, 571, 8610, 318, 6734, 31116, 10926, 2745, 263, 639, 340, 926, 657, 2020, 639, 340, 926, 657, 14277, 325, 3271, 25475, 19312, 815, 22373, 291, 7431, 32550, 25475, 2580, 834, 2420, 270, 1321, 270, 1001, 279, 2580, 834, 26244, 8610, 318, 4905, 257, 6540, 2745, 263, 639, 340, 926, 657, 2020, 2745, 12759, 263, 639, 340, 926, 657, 10947, 2891, 325, 3271, 25475, 257, 21875, 0, 333, 727, 284, 6358, 2891, 14707, 924, 694, 340, 562, 727, 281, 1422, 333, 5602, 573, 1228, 25507, 9272, 2891, 14707, 924, 647, 320, 7329, 1228, 281, 1422, 333, 27363, 4777, 523, 8619, 1103, 2739, 665, 2632, 698, 3930, 320, 284, 6358, 2891, 306, 639, 701, 7534, 632, 798, 523, 9809, 320, 16791, 665, 2632, 698, 3930, 320, 286, 1422, 333, 20257, 21639, 4590, 604, 7329, 1228, 13843, 476, 4792, 912, 825, 1820, 2891, 302, 31390, 1304, 324, 834, 1341, 562, 727, 1341, 834, 303, 5308, 306, 21397, 693, 754, 2939, 334, 3922, 9222, 5602, 19197, 798, 523, 8619, 1103, 2739, 665, 2632, 698, 3930, 320, 269, 21639, 3890, 2652, 257, 306, 8379, 13426, 825, 1820, 2891, 302, 31390, 1304, 324, 834, 1341, 562, 727, 1341, 834, 632, 557, 1583, 25680, 322, 542, 5964, 16948, 513, 2892, 320, 632, 1965, 704, 320, 8264, 3385, 23528, 12828, 912, 825, 1820, 2891, 302, 31390, 1304, 324, 834, 1341, 562, 727, 1341, 834, 715, 12728, 302, 1502, 14241, 693, 754, 2939, 334, 3922, 9222, 552, 533, 1712, 989, 340, 731, 7310, 14255, 2892, 320, 635, 636, 10590, 2020, 0, 258, 476, 5785, 14343, 955, 1948, 454, 258, 7170, 281, 12143, 476, 5881, 454, 258, 13517, 281, 23227, 622, 875, 547, 946, 17292, 1782, 543, 18438, 30047, 454, 258, 7827, 19868, 630, 8005, 267, 2691, 267, 1432, 2187, 258, 567, 14977, 2401, 570, 1342, 267, 6349, 270, 2420, 270, 2641, 267, 23095, 3009, 454, 258, 476, 5785, 14343, 955, 1948, 692, 5814, 4584, 548, 692, 258, 22873, 9332, 331, 1125, 4632, 454, 331, 560, 8368, 815, 314, 2639, 577, 4069, 815, 834, 5016, 258, 20509, 1699, 4584, 1194, 1239, 454, 2745, 2891, 2521, 15205, 4540, 4584, 1194, 1239, 281, 5602, 339, 787, 912, 825, 1073, 329, 17572, 815, 1930, 2891, 303, 1157, 548, 6155, 520, 2580, 834, 337, 321, 5602, 825, 1073, 329, 17572, 10574, 815, 4584, 548, 269, 2903, 263, 28128, 17572, 994, 825, 585, 1775, 538, 1073, 329, 17572, 10574, 912, 1038, 1820, 9217, 14277, 307, 2532, 19312, 1341, 834, 1923, 834, 1341, 1775, 14277, 26212, 640, 257, 7481, 825, 1073, 329, 17572, 25379, 4590, 825, 1820, 2891, 306, 15471, 2685, 16041, 3758, 5602, 21955, 11711, 8253, 28062, 13286, 607, 552, 912, 825, 1820, 2891, 20578, 5048, 281, 1412, 17572, 711, 1336, 262, 15419, 6112, 3903, 11203, 1412, 1410, 527, 12466, 825, 4305, 815, 1193, 9272, 3488, 1432, 568, 519, 1007, 4305, 2012, 286, 281, 1412, 4917, 825, 10862, 815, 1193, 9272, 3488, 1432, 568, 519, 1007, 4305, 10862, 286, 630, 14683, 270, 4364, 270, 869, 2567, 1412, 4917, 825, 546, 545, 305, 578, 815, 2715, 257, 307, 2532, 9899, 4305, 267, 834, 26212, 640, 9899, 10862, 8679, 825, 32102, 8368, 6910, 5560, 545, 305, 578, 994, 825, 2119, 912, 1038, 3903, 815, 3403, 2891, 13911, 1412, 1410, 527, 262, 547, 14827, 610, 1412, 10113, 262, 547, 3403, 1776, 4305, 834, 1040, 12294, 4590, 1038, 952, 3903, 711, 538, 18358, 1410, 527, 3299, 1412, 10113, 11172, 912, 2018, 6318, 1401, 4003, 2891, 8923, 946, 1412, 1410, 527, 262, 610, 1412, 10113, 262, 17161, 14826, 5602, 825, 4849, 1401, 4003, 607, 552, 912, 1038, 1820, 2891, 23911, 5048, 281, 14307, 552, 267, 552, 14857, 25269, 1029, 994, 1038, 1820, 2891, 23911, 1826, 281, 14307, 1826, 16216, 11723, 2745, 2891, 2080, 616, 707, 4247, 840, 1790, 1157, 1194, 281, 5602, 1721, 1775, 538, 32102, 8368, 912, 825, 1820, 9217, 14277, 307, 2532, 19312, 1341, 834, 1923, 834, 1341, 1775, 14277, 26212, 640, 19312, 2020, 2745, 2891, 303, 1157, 1782, 4247, 907, 23528, 28128, 17572, 815, 1930, 2891, 303, 1157, 548, 6155, 520, 2580, 834, 342, 321, 5602, 335, 1157, 548, 6155, 2794, 10857, 560, 8368, 267, 1073, 329, 17572, 994, 28128, 17572, 25379, 10797, 2745, 2891, 2080, 616, 707, 25461, 10002, 1157, 1194, 281, 19515, 28128, 17572, 815, 1930, 2891, 303, 1157, 548, 6155, 520, 2580, 834, 337, 321, 5602, 28128, 17572, 10574, 815, 4584, 548, 269, 2903, 263, 28128, 17572, 994, 1721, 1775, 538, 1073, 329, 17572, 10574, 912, 825, 1820, 9217, 14277, 307, 2532, 19312, 1341, 834, 1923, 834, 1341, 1775, 14277, 26212, 640, 257, 7481, 28128, 17572, 25379, 4590 ]

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

[ 8541, 24874, 293, 3796, 18192, 2125, 23095, 2201, 281, 476, 1321, 270, 5881, 270, 1220, 278, 8191, 281, 7812, 595, 269, 7754, 31310, 19534, 5678, 13129, 12937, 585, 2871, 903, 14644, 532, 26442, 710, 476, 3607, 674, 12569, 25767, 630, 8512, 476, 273, 264, 13648, 769, 642, 2125, 5296, 267, 649, 666, 1711, 513, 1007, 1257, 12803, 543, 15682, 1210, 11711, 21902, 30606, 269, 634, 11711, 21902, 30606, 3568, 519, 3252, 8073, 293, 27212, 543, 8073, 17806, 17572, 547, 1711, 3758, 543, 17835, 269, 1403, 711, 267, 621, 12215, 519, 3758, 269, 910, 952, 972, 616, 1016, 19507, 619, 281, 621, 11974, 952, 519, 1016, 19507, 518, 6818, 538, 519, 3186, 785, 597, 267, 952, 711, 267, 621, 786, 581, 2813, 269, 6730, 621, 7125, 519, 590, 28719, 1599, 585, 782, 519, 6119, 543, 1016, 19507, 619, 538, 713, 1016, 19507, 518, 269, 5900, 3737, 28567, 269, 4635, 966, 7034, 547, 5299, 513, 16784, 969, 275, 269, 32502, 630, 277, 269, 273, 22995, 267, 476, 12573, 5784, 1040, 1520, 1091, 513, 3758, 610, 17835, 9138, 547, 519, 4540, 2619, 269, 25767, 17572, 8807, 5861, 4878, 630, 3240, 293, 27212, 7843, 335, 1040, 6282, 525, 17835, 1315, 295, 560, 307, 11391, 543, 12215, 6119, 269, 11872, 281, 901, 25767, 1505, 1152, 12215, 606, 1367, 17835, 269, 594, 991, 513, 642, 2125, 7097, 594, 666, 946, 547, 5299, 32766, 519, 1482, 1259, 594, 946, 519, 7097, 2630, 547, 5299, 6119, 269, 594, 1131, 5660, 621, 952, 4896, 1223, 948, 15660, 1336, 782, 594, 1185, 547, 798, 729, 5372, 834, 28128, 12396, 302, 5861, 4878, 17572, 14803, 257, 609, 834, 28128, 12396, 302, 5861, 4878, 293, 27212, 14803, 257, 538, 519, 7097, 1657, 269, 966, 10621, 5839, 549, 281, 25767, 543, 11412, 877, 674, 27212, 543, 28567, 4635, 11711, 3590, 8629, 630, 12396, 302, 264, 910, 30991, 281, 476, 276, 281, 6349, 17679, 7034, 5296, 17943, 267, 3487, 476, 1240, 1923, 8073, 910, 1546, 8541, 910, 28567, 674, 1245, 619, 910, 30991, 281, 476, 276, 281, 7367, 269, 15439, 290, 10757, 476, 1321, 267, 5780, 278, 5784, 269, 19743, 20226, 594, 991, 547, 1711, 513, 642, 2125, 7097, 602, 2636, 803, 547, 556, 4067, 543, 12215, 6119, 547, 513, 17835, 593, 519, 1482, 7746, 269, 594, 723, 7307, 547, 1265, 519, 3009, 585, 15646, 5446, 519, 3758, 1759, 593, 519, 5137, 4266, 1809, 1631, 594, 849, 991, 585, 713, 3758, 547, 581, 23652, 547, 513, 17835, 602, 5732, 3085, 512, 2291, 269, 966, 2125, 5296, 910, 6744, 532, 1142, 1016, 19507, 518, 585, 6119, 543, 5299, 6119, 269, 966, 2125, 5296, 1592, 782, 7300, 6119, 538, 17835, 543, 1016, 19507, 619, 269, 12861, 513, 966, 7034, 3758, 609, 519, 2702, 547, 2328, 856, 547, 513, 1257, 3758, 17679, 2125, 5296, 1357, 323, 822, 17835, 1711, 269, 25767, 543, 11412, 877, 21777, 3758, 269, 966, 7034, 5296, 17943, 267, 3487, 476, 1240, 1923, 8073, 910, 1546, 8541, 910, 28567, 674, 1245, 619, 269, 966, 7034, 5296, 532, 30285, 642, 2125, 264, 9978, 5850, 593, 875, 547, 1711, 543, 18419, 6119, 543, 32766, 269, 8943, 7151, 281, 26840, 1401, 14032, 17435, 535, 810, 5590, 535, 810, 269, 1215, 547, 2594, 3758, 5299, 538, 8837, 25817, 1500, 2653, 269, 594, 993, 3843, 547, 2328, 513, 7097, 602, 786, 1413, 693, 513, 2707, 15682, 267, 1118, 513, 1592, 540, 782, 519, 6119, 543, 32766, 2630, 621, 543, 1287, 735, 18311, 713, 609, 1776, 15682, 543, 5299, 1022, 7508, 6119, 543, 1711, 1022, 7508, 32766, 269, 769, 966, 7034, 875, 798, 596, 1118, 513, 15682, 543, 1287, 5299, 513, 3758, 883, 621, 286, 16740, 899, 547, 1118, 513, 17835, 538, 519, 3597, 540, 595, 552, 3052, 269, 595, 281, 19507, 518, 543, 1287, 17730, 513, 674, 27212, 9786, 8837, 952, 707, 3919, 2488, 3755, 609, 4859, 2230, 593, 3758, 13763, 267, 596, 991, 547, 1711, 513, 1007, 17835, 1142, 942, 513, 1007, 3593, 25767, 267, 11412, 877, 267, 8844, 267, 8073, 267, 1546, 8541, 674, 1245, 619, 543, 28567, 1775, 269, 12682, 19112, 2593, 269, 8281, 966, 2125, 5296, 25767, 28567, 769, 30615, 1863, 3301, 561, 327, 275, 269, 1375, 874, 339, 2593, 269, 8281, 966, 2125, 25767, 11711, 22647, 1863, 910, 3787, 30004, 1370, 332, 24599, 8940, 21993, 1695, 2224, 2579, 2593, 269, 594, 993, 3843, 547, 1711, 513, 16801, 3758, 547, 1711, 513, 3060, 17835, 1759, 593, 2780, 2012, 543, 1287, 5299, 519, 18376, 267, 3733, 26671, 267, 674, 2948, 2572, 689, 1142, 9043, 547, 602, 2671, 11065, 1078, 593, 602, 267, 596, 323, 4440, 581, 1732, 1055, 17935, 547, 798, 713, 538, 5295, 9515, 961, 630, 528, 966, 7034, 1040, 19743, 281, 594, 993, 513, 30497, 547, 966, 7034, 269, 594, 729, 530, 617, 1359, 952, 621, 568, 2009, 547, 1224, 555, 745, 519, 6119, 538, 513, 17835, 543, 7001, 519, 2063, 1899, 538, 1169, 3758, 6262, 12364, 3758, 264, 543, 2328, 547, 513, 2845, 12803, 602, 814, 2005, 1175, 5932, 606, 8900, 3758, 4289, 563, 339, 868, 3758, 269, 594, 723, 711, 9168, 713, 7097, 538, 1022, 1259, 267, 543, 723, 6836, 886, 269, 32766, 269, 7102, 10372, 689, 4896, 286, 26402, 281, 524, 27771, 20216, 324, 8668, 4338, 11901, 7034, 290, 4878, 17572, 2414, 9336, 27165, 3682, 12803, 18192, 2125, 4762, 580, 4851, 281, 1411, 991, 547, 7696, 707, 1378, 11553, 3633, 9128, 2562, 3633, 674, 11223, 543, 29486, 22814, 9950, 331, 572, 2433, 20444, 326, 7901, 4433, 889, 19507, 518, 20508, 834, 1284, 786, 5299, 547, 713, 17835, 20257, 1924, 3079, 540, 2469, 547, 1142, 17835, 543, 5299, 2250, 532, 519, 4408, 540, 6119, 267, 1775, 5206, 966, 7034, 5296, 547, 798, 519, 1482, 6185, 574, 535, 810, 17435, 5136, 329, 11073, 17572, 12861, 11711, 3590, 8629, 5590, 535, 810, 8073, 30606, 22829, 5296, 532, 12171, 850, 21902, 30606, 1040, 15528, 8206, 865, 799, 4971, 594, 1826, 538, 711, 788, 611, 269, 1287, 594, 786, 1711, 16801, 3758, 547, 1039, 17835, 538, 3593, 17835, 899, 14871, 8745, 281, 645, 15477, 543, 824, 3755, 17835, 1547, 5591, 991, 547, 5299, 267, 1175, 2322, 707, 642, 2125, 3758, 883, 713, 17835, 1411, 949, 849, 1616, 547, 1039, 3606, 7954, 267, 899, 10992, 2436, 519, 17835, 596, 1616, 547, 1711, 2907, 6818, 630, 20357, 8073, 293, 27212, 12651, 606, 5470, 538, 713, 2013, 264, 610, 28408, 2436, 290, 641, 3539, 513, 3758, 883, 606, 4540, 23407, 17835, 1210, 642, 2125, 269, 476, 271, 269, 1215, 547, 556, 4067, 513, 3758, 1247, 621, 568, 1373, 23652, 543, 5299, 2347, 269, 594, 991, 547, 5299, 513, 17835, 630, 935, 8877, 28567, 264, 883, 2789, 6753, 602, 616, 9138, 538, 513, 512, 868, 3758, 630, 320, 3758, 4087, 593, 1142, 1899, 264, 594, 723, 12500, 2255, 610, 966, 7034, 547, 5299, 513, 17835, 547, 1978, 1753, 11479, 1152, 269, 1635, 744, 3591, 3240, 21112, 538, 8468, 14644, 338, 269, 594, 917, 713, 568, 606, 2025, 2022, 855, 594, 723, 1044, 3168, 585, 513, 1259, 547, 2196, 966, 7034, 547, 5299, 543, 19307, 1239, 1759, 593, 4266, 9168, 543, 2196, 998, 28128, 325, 810, 5861, 4878, 17572, 11711, 267, 3186, 17572, 11243, 5861, 805, 525, 17835, 952, 621, 4867, 3085, 711, 2291, 267, 6282, 525, 1007, 2707, 17835, 2619, 1759, 593, 519, 17835, 621, 568, 538, 543, 28197, 1184, 693, 1403, 1699, 17835, 1281, 660, 2291, 896, 10278, 17835, 267, 1711, 621, 269, 1403, 3502, 1073, 329, 12396, 302, 12171, 27212, 2750, 1235, 19304, 291, 652, 1588, 2690, 3962, 1073, 329, 293, 3796, 769, 1073, 329, 12396, 302, 269, 7476, 293, 27212, 19304, 13126, 1040, 293, 3796, 1403, 3502, 1025, 333, 2750, 2850, 3973, 1403, 1025, 333, 2750, 2850, 568, 6936, 267, 1699, 3758, 786, 711, 581, 23652, 269, 1073, 329, 12396, 302, 5861, 4878, 17572, 1193, 13126, 5299, 547, 6494, 1729, 17835, 269, 554, 933, 1410, 270, 11034, 341, 332, 18192, 2125, 263, 3308, 1532, 553, 545, 1040, 309, 7034, 14644, 910, 6460, 9022, 547, 667, 8016, 311, 3758, 269, 717, 273, 297, 846, 270, 22056, 24670, 518, 3613, 4450, 11075, 263, 7387, 1040, 12861, 17835, 22373, 1193, 307, 11391, 307, 13759, 834, 316, 257, 1073, 329, 12396, 302, 5861, 5273, 293, 27212, 19304, 307, 11391, 291, 597, 264, 22527, 654, 27771, 9950, 11155, 834, 674, 27212, 6818, 256, 834, 1193, 307, 11391, 307, 13759, 7736, 1403, 269, 25767, 6119, 689, 1699, 15682, 547, 3077, 585, 1142, 3758, 538, 1193, 307, 11391, 13126, 8807, 3796, 654, 27771, 9950, 11155, 834, 290, 641, 3539, 3758, 281, 834, 3758, 834, 547, 834, 1193, 307, 11391, 307, 13759, 3758, 6983, 4878, 594, 723, 966, 289, 27771, 547, 5299, 32766, 610, 6119, 547, 824, 4087, 7868, 16801, 3758, 1705, 660, 960, 693, 782, 1175, 1705, 4986, 519, 1482, 607, 519, 966, 7034, 7097, 1775, 723, 799, 814, 5249, 5386, 8837, 2473, 303, 6191, 269, 7102, 811, 948, 1131, 581, 1390, 269, 23227, 566, 7097, 602, 25533, 525, 782, 519, 1547, 339, 868, 6119, 538, 513, 17835, 269, 14644, 1590, 581, 2196, 593, 519, 2199, 2780, 269, 966, 7034, 5296, 8943, 269, 4790, 1546, 8541, 5649, 18744, 13138, 16604, 269, 634, 1739, 3009, 14550, 519, 946, 540, 25767, 17572, 1505, 547, 5299, 513, 3758, 547, 513, 1007, 4087, 18192, 2125, 5296, 11711, 21902, 27014, 8629, 4704, 547, 513, 17835, 269, 642, 2125, 5296, 3417, 6119, 12861, 606, 834, 514, 2850, 3758, 257, 1505, 269, 3962, 17835, 568, 21986, 539, 16571, 1947, 543, 1022, 7508, 1016, 19507, 619, 543, 6119, 616, 23652, 1312, 2081, 269, 8110, 18504, 568, 1631, 1454, 1732, 593, 4514, 3529, 3889, 269, 8729, 547, 2473, 585, 12423, 543, 8989, 519, 17079, 269, 16440, 519, 7097, 607, 14271, 322, 293, 1245, 619, 269, 642, 2125, 269, 0, 763, 13176, 568, 513, 1360, 2442, 6293, 782, 2066, 519, 8608, 585, 1360, 1434, 2601, 269, 634, 6293, 3294, 568, 513, 4190, 4062, 540, 960, 267, 855, 519, 4992, 789, 1118, 609, 519, 948, 540, 513, 1480, 616, 1360, 4190, 269, 1403, 596, 723, 1044, 5461, 538, 1565, 875, 547, 1404, 519, 13176, 267, 1224, 593, 547, 1451, 811, 1344, 563, 20797, 707, 11733, 269, 17859, 540, 2436, 596, 917, 519, 22334, 267, 952, 596, 2811, 711, 4730, 693, 519, 1318, 32171, 267, 596, 2811, 2469, 547, 3280, 1659, 995, 269, 8347, 8026, 609, 513, 1558, 1258, 727, 269, 5213, 1405, 17743, 1932, 1454, 593, 1141, 707, 11263, 616, 269, 2334, 1223, 2014, 596, 547, 1106, 3983, 6208, 269, 10312, 593, 5329, 519, 1318, 10605, 563, 9596, 547, 1404, 538, 942, 269, 901, 568, 1898, 547, 4730, 519, 13176, 899, 513, 605, 269, 1411, 949, 723, 707, 9491, 1359, 1524, 267, 855, 596, 949, 723, 13581, 267, 3592, 538, 7596, 1043, 533, 13415, 950, 596, 6467, 22334, 269, 901, 786, 7494, 1860, 519, 3280, 540, 707, 2575, 269, 8347, 1210, 513, 1558, 1258, 727, 267, 513, 1268, 267, 610, 513, 2575, 7131, 269, 3399, 4730, 7444, 543, 1565, 875, 547, 1404, 3728, 607, 596, 1205, 811, 6899, 609, 621, 563, 26835, 12592, 676, 4259, 3853, 269, 3763, 3853, 602, 616, 12492, 762, 950, 596, 2253, 269, 15531, 2576, 945, 568, 1565, 547, 1404, 513, 13176, 786, 2285, 596, 513, 7649, 547, 2259, 609, 269, 6164, 3054, 547, 1945, 1169, 3018, 602, 596, 9959, 609, 2348, 1185, 513, 3232, 2259, 782, 5722, 2395, 269, 898, 786, 1491, 513, 2603, 540, 2182, 960, 563, 13981, 2575, 3069, 666, 948, 30497, 13176, 1235, 269, 898, 568, 835, 540, 1346, 5049, 602, 596, 2901, 2648, 610, 13842, 269, 634, 1983, 666, 948, 707, 4730, 30140, 269, 1411, 666, 1451, 3688, 899, 875, 547, 1224, 16147, 12125, 267, 8289, 22345, 6656, 2575, 267, 543, 782, 827, 4063, 4408, 269, 898, 666, 948, 596, 1732, 5431, 543, 1174, 1018, 596, 5873, 543, 1404, 563, 6826, 2871, 10560, 4245, 609, 3054, 269, 18776, 666, 581, 3500, 267, 865, 1810, 1405, 1205, 6619, 540, 3054, 269, 8347, 711, 547, 1305, 1932, 1082, 6788, 269, 901, 1223, 1175, 25339, 596, 543, 2014, 596, 547, 16718, 15587, 269, 6875, 1919, 7444, 543, 1205, 7899, 540, 2259, 538, 269, 3807, 3314, 1565, 519, 9238, 666, 1491, 513, 9645, 2179, 540, 942, 563, 2521, 4946, 3099, 547, 707, 13176, 2259, 269, 1879, 596, 2259, 519, 1482, 1919, 936, 543, 936, 1586, 267, 621, 666, 1205, 19309, 269, 2755, 6296, 2259, 568, 1898, 547, 4730, 1134, 267, 596, 1058, 849, 12235, 538, 930, 11791, 3688, 269, 8347, 4730, 8964, 602, 596, 899, 269, 1411, 666 ]

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

[ 0, 19878, 476, 866, 267, 476, 1708, 271, 3040, 476, 6812, 332, 454, 273, 300, 4585, 25008, 454, 1103, 713, 8400, 267, 1323, 597, 644, 327, 5689, 1731, 786, 581, 7234, 1158, 11585, 998, 11837, 2433, 3345, 3013, 22996, 8600, 585, 772, 28903, 595, 10345, 1401, 4461, 543, 1585, 824, 2229, 11400, 666, 2744, 4324, 689, 713, 8400, 269, 634, 3992, 786, 581, 9447, 538, 2296, 543, 19446, 1312, 543, 519, 4967, 585, 519, 1482, 786, 581, 3177, 538, 2296, 563, 17484, 539, 593, 5463, 476, 279, 267, 476, 1708, 272, 454, 9359, 338, 593, 4239, 476, 274, 267, 476, 1708, 273, 3040, 476, 2190, 4245, 0, 763, 1942, 540, 7791, 1648, 5170, 547, 7771, 3648, 1032, 936, 1032, 1818, 621, 519, 10464, 652, 2707, 540, 1379, 269, 4595, 476, 1001, 271, 267, 519, 3902, 540, 3859, 1379, 8593, 676, 936, 476, 3199, 260, 1247, 519, 3902, 540, 8093, 10173, 7283, 5266, 24715, 656, 2394, 519, 2487, 1648, 6433, 269, 634, 4028, 4473, 538, 8093, 10173, 899, 5755, 267, 2067, 3154, 267, 543, 19020, 3282, 11363, 519, 2956, 540, 28006, 547, 7791, 1648, 547, 2569, 1648, 5777, 563, 4407, 7791, 1648, 568, 811, 1942, 15807, 543, 13476, 7874, 267, 1082, 3494, 602, 5710, 1963, 1118, 519, 1379, 7470, 811, 31877, 269, 901, 568, 7361, 1813, 547, 1614, 4295, 4145, 1700, 19702, 1464, 538, 7791, 1648, 2504, 267, 2487, 1379, 7470, 14286, 267, 543, 519, 3668, 540, 5180, 7308, 12641, 1442, 1379, 5108, 269, 1452, 4145, 723, 1044, 9619, 607, 3549, 3048, 622, 543, 2029, 10607, 7175, 7791, 1648, 547, 3565, 547, 513, 811, 6325, 1379, 7470, 563, 30262, 1168, 1963, 3565, 547, 513, 811, 7123, 1379, 7470, 1813, 547, 519, 2208, 538, 1883, 5885, 1648, 9922, 269, 23996, 1648, 4859, 4390, 2208, 267, 2539, 5663, 3790, 267, 543, 5355, 2797, 1489, 2569, 519, 4145, 4478, 7791, 1648, 269, 1452, 5885, 9922, 616, 6117, 519, 2104, 540, 811, 6325, 1648, 21870, 13324, 676, 5710, 1963, 563, 30262, 1168, 762, 6052, 31700, 454, 20175, 7470, 16132, 814, 3366, 547, 606, 2810, 2179, 540, 3167, 1379, 14443, 687, 2066, 519, 2136, 2276, 269, 3509, 1004, 1747, 519, 16620, 585, 891, 14443, 687, 593, 519, 2136, 2276, 685, 5912, 547, 7791, 1648, 269, 634, 13260, 543, 3668, 540, 5180, 7308, 12641, 1442, 1379, 5108, 616, 1455, 4128, 11855, 585, 519, 16132, 540, 1379, 21870, 563, 24868, 762, 5295, 19087, 454, 30262, 1168, 762, 1648, 568, 8185, 882, 5050, 593, 519, 4365, 547, 28761, 5352, 1379, 602, 568, 7856, 2066, 1379, 21870, 269, 3683, 569, 31063, 3275, 267, 26221, 267, 543, 3668, 540, 2842, 666, 782, 1860, 1379, 5108, 543, 949, 1860, 1379, 21870, 602, 616, 8185, 882, 5050, 593, 5710, 1963, 269, 2755, 7791, 1648, 568, 14949, 543, 811, 13476, 7874, 267, 519, 7915, 13260, 5932, 23249, 585, 1082, 1004, 563, 763, 2487, 1648, 6433, 8711, 519, 9228, 1966, 609, 7791, 1648, 269, 634, 3864, 5742, 1019, 5529, 2417, 883, 2067, 3154, 14425, 1813, 547, 519, 2539, 31032, 7721, 4624, 2842, 1379, 5108, 269, 901, 13260, 538, 1648, 5108, 5129, 513, 1507, 1909, 538, 519, 2799, 16126, 593, 8093, 10173, 899, 5755, 563, 1607, 568, 835, 540, 519, 1455, 4145, 585, 5710, 1963, 602, 519, 7791, 1648, 2872, 568, 9846, 5466, 998, 6639, 10124, 269, 1452, 3435, 2569, 519, 2179, 540, 13260, 998, 2799, 4859, 267, 8519, 5663, 3790, 267, 543, 4763, 540, 7791, 1648, 2959, 269, 2060, 891, 3435, 267, 5710, 1963, 1831, 811, 6325, 543, 3565, 547, 1648, 7470, 6617, 563, 763, 3328, 5993, 3167, 1379, 954, 8306, 8653, 2799, 689, 896, 2947, 3108, 547, 936, 5216, 3108, 829, 6075, 538, 519, 2136, 2276, 269, 3245, 1804, 4872, 899, 4993, 543, 7147, 547, 4872, 2066, 2342, 267, 5122, 1379, 856, 1137, 1860, 6634, 540, 1004, 269, 1452, 14443, 687, 7519, 4105, 2533, 543, 4213, 1247, 3056, 547, 1761, 2199, 1648, 3902, 26389, 563, 29209, 1379, 856, 1137, 538, 4993, 543, 7147, 14626, 3660, 609, 519, 2208, 540, 7791, 1648, 538, 1142, 1533, 269, 901, 3366, 1082, 1004, 547, 6318, 4145, 936, 7791, 1648, 13260, 543, 922, 9295, 547, 891, 7372, 856, 1137, 269, 4438, 519, 7147, 856, 720, 267, 519, 17294, 1256, 11855, 2842, 543, 3859, 585, 519, 1533, 779, 7372, 7470, 5821, 563, 4322, 856, 1137, 5031, 1776, 1455, 6161, 1644, 547, 7791, 1648, 543, 922, 13260, 269, 4438, 8445, 3747, 2053, 899, 3002, 6329, 267, 666, 7791, 1648, 3132, 2614, 1379, 547, 6474, 3747, 543, 2226, 1648, 7470, 8699, 286, 2755, 7147, 22755, 713, 3390, 547, 519, 21282, 267, 5710, 1963, 2965, 856, 704, 11526, 519, 7470, 11346, 779, 23004, 1282, 476, 3445, 2600, 540, 519, 3109, 719, 563, 2171, 1430, 543, 8693, 4039, 4800, 454, 30262, 1168, 762, 1648, 12346, 593, 3859, 267, 2842, 267, 543, 1216, 547, 5352, 1379, 799, 7182, 922, 2702, 547, 3761, 1379, 1472, 519, 9219, 269, 901, 8591, 606, 20437, 3693, 547, 7791, 1648, 5108, 1813, 547, 519, 4365, 269, 17897, 531, 7648, 538, 519, 8244, 540, 3859, 267, 2842, 267, 543, 1216, 666, 782, 1860, 875, 1454, 1648, 568, 3812, 543, 6740, 563, 4322, 2916, 543, 4365, 5829, 2188, 723, 8329, 547, 2487, 1648, 16839, 269, 769, 2342, 267, 519, 2539, 31032, 7721, 4624, 2842, 5108, 8329, 547, 606, 2799, 16126, 593, 2067, 3154, 14425, 269, 769, 7147, 267, 519, 16171, 540, 2842, 332, 1571, 8329, 547, 1447, 2842, 5108, 602, 267, 31903, 609, 824, 2188, 267, 3366, 547, 519, 1379, 7470, 2458, 2355, 532, 563, 2026, 6608, 4225, 7791, 1648, 267, 519, 2872, 1590, 2232, 519, 1455, 6161, 540, 4365, 543, 2916, 16126, 269, 1452, 4145, 5397, 11688, 13330, 1813, 547, 519, 17674, 1464, 540, 7791, 5108, 799, 949, 1291, 547, 31877, 1379, 21870, 269, 1717, 267, 519, 9283, 538, 6007, 1648, 4859, 4390, 543, 2799, 1648, 4398, 538, 5656, 2047, 2232, 713, 1966, 563, 1692, 20622, 1963, 17372, 1452, 31700, 454, 30262, 1168, 762, 1648, 8309, 547, 513, 811, 14388, 543, 7347, 1648, 7470, 269, 1306, 5710, 1963, 6521, 547, 519, 13557, 540, 1648, 5108, 585, 1379, 4556, 1091, 267, 972, 786, 581, 7864, 1379, 856, 1137, 1282, 8445, 3747, 269, 2755, 972, 616, 24669, 4145, 267, 7791, 2232, 1142, 835, 609, 6639, 10124, 543, 1239, 689, 3105, 1648, 16839, 563, 30262, 1168, 762, 1648, 5108, 568, 20244, 4756, 1813, 547, 922, 16126, 593, 519, 4365, 543, 2916, 269, 6052, 4859, 2232, 713, 6161, 676, 13936, 4430, 1648, 6383, 1282, 1055, 3620, 2293, 602, 949, 581, 26809, 1282, 8445, 3108, 269, 901, 8309, 547, 513, 811, 6325, 543, 14388, 1379, 7470, 563, 7021, 519, 2250, 8717, 267, 6007, 1648, 4859, 1949, 723, 27636, 606, 10373, 2179, 676, 2810, 4859, 4390, 1247, 8195, 4227, 3790, 269, 3683, 519, 2250, 8717, 267, 6007, 4859, 8057, 476, 1240, 24670, 609, 10626, 8397, 6007, 4390, 4397, 547, 1332, 676, 476, 10019, 260, 713, 1032, 4805, 269, 1452, 7372, 9283, 1852, 519, 13260, 540, 7791, 1648, 543, 849, 1711, 811, 14388, 2199, 1379, 21870, 563, 2026, 6007, 1648, 4859, 1949, 1831, 811, 10097, 267, 2950, 543, 6800, 666, 2569, 741, 16126, 593, 1379, 21870, 269, 1280, 1383, 267, 6800, 666, 9192, 3859, 1379, 5108, 543, 513, 23592, 5295, 13665, 799, 666, 3761, 1648, 547, 513, 7622, 585, 909, 547, 476, 1321, 3108, 269, 3502, 1152, 1281, 713, 2569, 1648, 12014, 267, 855, 621, 849, 4025, 1447, 8833, 593, 519, 1379, 7470, 1282, 8445, 3747, 3108, 543, 10607, 519, 10727, 540, 519, 7470, 563, 30262, 1168, 1963, 3657, 2859, 4039, 4192, 454, 7628, 2101, 1379, 856, 1137, 267, 972, 729, 513, 2239, 602, 5710, 1963, 8329, 8185, 547, 519, 12900, 269, 2755, 5710, 1963, 949, 723, 5129, 513, 1507, 1909, 538, 1379, 856, 1137, 267, 789, 849, 856, 704, 11526, 23004, 269, 769, 1840, 267, 930, 2477, 602, 5352, 519, 1034, 7791, 1648, 723, 519, 1034, 6325, 21870, 563, 30051, 12958, 5176, 3368, 540, 519, 2197, 779, 5201, 689, 5710, 1963, 609, 4566, 547, 3136, 23960, 7791, 10073, 269, 9122, 593, 519, 968, 21902, 19105, 3955, 8306, 30991, 12039, 2223, 5125, 814, 835, 540, 519, 1034, 6325, 21870, 538, 2342, 543, 519, 1158, 269, 5125, 779, 4994, 6060, 729, 476, 271, 269, 1839, 3108, 799, 729, 519, 3791, 1655, 538, 2342, 543, 2947, 2053, 1732, 982, 519, 2136, 2276, 856, 720, 2557, 563, 30051, 814, 7283, 32344, 538, 28006, 4625, 547, 7791, 1648, 269, 4595, 476, 1220, 277, 267, 5125, 814, 5176, 22712, 745, 9482, 922, 2671, 540, 7791, 5201, 5108, 1247, 922, 1379, 856, 720, 2557, 814, 5176, 10300, 1386, 269, 2755, 2101, 1379, 856, 1137, 17047, 609, 2799, 7791, 10073, 267, 5125, 8711, 875, 5710, 1963, 3565, 547, 811, 6325, 1379, 21870, 563, 30262, 1168, 762, 6052, 667, 1392, 2305, 454, 4407, 1142, 7791, 1648, 2707, 568, 882, 5050, 593, 519, 1604, 267, 29159, 540, 7791, 1648, 2994, 666, 2232, 13260, 538, 5108, 269, 22685, 1154, 2789, 2959, 899, 593, 17060, 543, 21369, 2842, 11396, 267, 3859, 8440, 543, 10581, 19661, 923, 267, 543, 19558, 1077, 666, 2569, 519, 1764, 540, 513, 2707, 896, 704, 14127, 269, 7780, 1988, 666, 849, 9772, 3747, 8112, 4507, 543, 5000, 2679, 1648, 4398, 547, 2569, 1648, 4616, 543, 3747, 1282, 8445, 3108, 563, 7628, 519, 2487, 12902, 3109, 8083, 538, 4993, 267, 519, 1533, 4362, 519, 1379, 540, 3747, 3210, 4507, 269, 634, 4993, 5398, 7780, 1988, 8189, 1336, 602, 3747, 3210, 8329, 547, 7470, 1489, 543, 8465, 3747, 3210, 949, 723, 7339, 730, 3109, 8083, 15587, 269, 4595, 5656, 1118, 909, 476, 4037, 260, 540, 2136, 2276, 5201, 6165, 267, 1818, 873, 811, 1648, 3608, 543, 5883, 1648, 6165, 3842, 8465, 3747, 3210, 666, 3970, 3109, 8083, 543, 2087, 7470, 10727, 563, 291, 1392, 2305, 2066, 1648, 2959, 267, 4507, 267, 543, 2520, 13132, 8309, 547, 513, 811, 6325, 1379, 7470, 269, 26157, 782, 891, 2553, 6971, 519, 16126, 593, 1022, 835, 2707, 269, 898, 849, 9607, 4145, 1472, 13065, 676, 26084, 1981, 2066, 1082, 2959, 543, 4507, 563, 30262, 1168, 1963, 8073, 2859, 4039, 4192, 5295, 6182, 1749, 454, 30262, 1168, 1963, 616, 811, 1942, 15807, 982, 824, 1648, 2959, 899, 2067, 3154, 267, 5755, 267, 543, 6046, 269, 634, 1648, 6433, 713, 1032, 12006, 519, 2956, 540, 28006, 547, 7791, 1648, 269, 2755, 1082, 1294, 519, 1942, 2640, 267, 972, 941, 1869, 1455, 4145, 1472, 7791, 1648, 10073, 563, 4322, 4145, 5059, 593, 519, 13260, 540, 1379, 5108, 543, 519, 2487, 1379, 856, 1137, 538, 4993, 267, 7147, 267, 543, 1082, 3864, 4872, 269, 2755, 891, 616, 24669, 4145, 267, 519, 11144, 540, 2029, 543, 10727, 2232, 1142, 540, 891, 2042, 269, 769, 1840, 267, 519, 5359, 689, 519, 2487, 856, 1137, 9414, 875, 5710, 1963, 3565, 547, 513, 811, 6325, 1379, 7470, 563, 7628, 2487, 856, 1137, 538, 4993, 543, 7147, 267, 5710, 1963, 5129, 513, 11358, 1909, 538, 11689, 1944, 519, 1379, 21870, 269, 25895, 8441, 899, 4824, 6007, 4859, 4390, 2059, 609, 8519, 1942, 1118, 621, 1447, 2693, 4756, 1648, 5108, 786, 1860, 1379, 7470, 10727, 269, 7053, 267, 4824, 1648, 4507, 543, 2679, 4398, 786, 2569, 4452, 2566, 1282, 8445, 3108, 547, 3565, 547, 513, 811, 6325, 1379, 7470, 563, 2026, 7791, 10073, 5170, 547, 17108, 267, 1379, 21870, 786, 1831, 811, 5150, 543, 6325, 269, 5125, 779, 5912, 568, 606, 1271, 2013, 1353, 602, 8711, 519, 9153, 540, 5710, 1963, 269, 2755, 5125, 12958, 811, 7791, 1648, 267, 13868, 8093, 10173, 543, 6046, 267, 519, 3328, 1379, 856, 720, 8653, 5170, 547, 7771, 269, 901, 14550, 1175, 875, 3532, 5710, 1963, 616, 538, 17516, 1379, 21870, 543, 4227, 519, 1981, 540, 2104, 856, 1137, 269, 0, 288, 345, 27930, 13568, 19264, 26513, 1323, 541, 1955, 534, 990, 11339, 585, 22870, 12782, 485, 339, 21601, 5240, 547, 1665, 519, 2197, 781, 14412, 4303, 563, 4002, 2904, 476, 2764, 267, 476, 1708, 273, 267, 519, 29494, 329, 8643, 1004, 8661, 519, 476, 10441, 628, 16683, 540, 14412, 4303, 269, 2201, 713, 1554, 267, 811, 982, 513, 2540, 3516, 267, 29494, 13568, 29064, 922, 7115, 543, 519, 29494, 13568, 14891, 6243, 630, 4696, 305, 264, 729, 8547, 607, 519, 1101, 16712, 11180, 1533, 538, 519, 5101, 543, 3003, 7332, 1158, 563, 763, 10661, 540, 519, 29494, 13568, 14891, 6243, 593, 2904, 476, 2764, 267, 476, 4489, 279, 267, 729, 513, 8978, 2680, 543, 835, 540, 519, 32219, 3817, 538, 519, 1686, 540, 29494, 13568, 269, 29494, 13568, 781, 1101, 6243, 7608 ]

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

[ 616, 5116, 593, 1312, 5011, 593, 519, 2681, 8868, 540, 938, 2681, 609, 606, 3160, 3845, 540, 476, 1789, 5232, 563, 19853, 27280, 7285, 616, 476, 6246, 5232, 267, 543, 0, 305, 4456, 4696, 3198, 2433, 30782, 568, 835, 540, 519, 11455, 8370, 3923, 540, 9099, 1032, 269, 898, 568, 849, 835, 540, 519, 25004, 30361, 540, 5771, 269, 30782, 568, 513, 13411, 3923, 540, 17509, 267, 26126, 543, 11755, 585, 12356, 267, 519, 13794, 540, 5771, 269, 901, 1797, 602, 12356, 3728, 1142, 1554, 936, 713, 3923, 585, 5111, 476, 1240, 3108, 829, 1554, 269, 898, 568, 9976, 607, 519, 3923, 1282, 799, 17124, 4607, 519, 3355, 11240, 725, 540, 519, 20845, 267, 519, 13411, 1433, 585, 12356, 269, 634, 20845, 2829, 282, 968, 763, 3923, 540, 30782, 1496, 529, 602, 316, 538, 799, 729, 7000, 519, 15878, 685, 534, 267, 5583, 585, 519, 1004, 543, 2312, 15997, 540, 5583, 543, 21205, 269, 1924, 945, 1197, 24738, 1496, 1492, 1007, 7599, 540, 316, 519, 3923, 267, 1577, 1864, 3728, 621, 1848, 634, 3483, 540, 30782, 568, 547, 12492, 2282, 1145, 543, 804, 4923, 612, 547, 2696, 998, 20174, 7029, 547, 17509, 19001, 267, 547, 2285, 1880, 8561, 17493, 543, 28908, 268, 713, 568, 5000, 1282, 713, 3923, 269, 30782, 568, 849, 942, 585, 1713, 2146, 543, 1920, 6891, 543, 3246, 1489, 269, 3509, 1367, 543, 3885, 786, 7281, 543, 3548, 1927, 543, 1489, 1142, 824, 538, 1082, 2081, 2429, 713, 1974, 269, 30782, 849, 11414, 721, 827, 1582, 1852, 543, 9015, 267, 15093, 267, 543, 3576, 533, 640, 593, 1346, 945, 616, 17237, 543, 1447, 19539, 269, 1656, 593, 519, 824, 1688, 30782, 2057, 721, 689, 267, 3983, 6411, 267, 3983, 2623, 267, 791, 675, 4555, 267, 6704, 267, 4189, 267, 543, 10845, 269, 20845, 568, 7000, 585, 519, 5260, 21831, 540, 18495, 269, 20845, 2348, 1044, 19942, 1524, 593, 519, 1101, 267, 15795, 267, 1000, 27097, 267, 19412, 18818, 543, 8938, 21144, 628, 30782, 267, 4033, 957, 540, 9299, 2358, 899, 11755, 267, 2542, 519, 20845, 267, 17493, 616, 849, 23641, 1282, 30782, 269, 12356, 616, 5000, 547, 1483, 519, 2898, 20845, 538, 476, 1789, 2395, 269, 15878, 685, 534, 5018, 602, 16589, 10238, 1080, 4189, 519, 17145, 540, 2220, 710, 267, 1317, 621, 568, 513, 590, 2562, 543, 606, 29313, 296, 4953, 312, 630, 305, 6359, 1087, 1040, 3962, 1554, 267, 1354, 21554, 267, 12356, 7747, 513, 840, 1922, 770, 7594, 1572, 519, 647, 327, 3233, 269, 2991, 16069, 513, 2110, 942, 1354, 21554, 267, 12356, 2253, 519, 1101, 11755, 540, 519, 1554, 267, 674, 1690, 337, 269, 1879, 519, 3141, 5036, 972, 568, 513, 6443, 7594, 1572, 968, 296, 1111, 541, 6100, 7316, 1660, 3916, 666, 2736, 972, 3728, 609, 741, 2828, 543, 1920, 269, 634, 3923, 540, 30782, 11414, 721, 827, 811, 982, 17509, 269, 570, 2752, 288, 310, 296, 295, 616, 849, 5340, 1282, 30782, 269, 2552, 9009, 547, 2442, 3661, 267, 789, 616, 711, 1271, 269, 1411, 666, 20049, 30782, 16858, 676, 6031, 968, 305, 600, 24460, 918, 732, 655, 2223, 799, 18922, 883, 968, 5970, 513, 21464, 30782, 2223, 610, 968, 305, 600, 24460, 631, 889, 541, 752, 2223, 799, 10199, 18922, 883, 968, 31917, 30782, 1848, 2991, 30782, 12356, 8661, 1614, 14812, 1572, 661, 573, 269, 592, 12171, 10560, 269, 2201, 519, 1101, 1554, 540, 661, 573, 12356, 3091, 661, 573, 11755, 267, 3643, 1920, 543, 2828, 543, 8661, 936, 3536, 543, 13344, 269, 0, 20245, 1382, 1419, 796, 1723, 951, 519, 2856, 602, 812, 13402, 703, 6350, 687, 2569, 519, 23812, 540, 519, 5117, 563, 22923, 1382, 3594, 666, 2824, 1216, 2298, 607, 513, 1888, 267, 15388, 519, 1699, 6708, 540, 1216, 5533, 607, 1134, 607, 938, 3646, 547, 7753, 621, 563, 2690, 3236, 267, 1018, 2591, 616, 1459, 538, 18513, 1216, 1949, 3710, 2282, 4213, 602, 3542, 1393, 267, 971, 607, 15327, 610, 6694, 14078, 286, 1215, 1522, 2199, 1216, 7727, 610, 4357, 19401, 581, 12936, 676, 713, 3510, 888, 3891, 814, 6026, 2296, 693, 519, 476, 277, 268, 1321, 1377, 585, 811, 982, 476, 736, 1296, 563, 3891, 814, 2854, 14916, 538, 5339, 9880, 267, 2875, 1603, 11382, 29422, 543, 3875, 4928, 3872, 26336, 563, 10454, 4541, 568, 538, 11605, 2437, 2687, 547, 1325, 717, 648, 267, 543, 1010, 3948, 9356, 938, 705, 4575, 9021, 585, 519, 1416, 540, 519, 1604, 543, 519, 23812, 540, 938, 1216, 3761, 563, 2467, 568, 5310, 1100, 811, 1271, 4305, 982, 27733, 938, 1053, 538, 891, 9021, 563, 2005, 568, 5227, 547, 946, 9499, 630, 18485, 2228, 543, 22356, 1070, 4930, 543, 824, 2959, 630, 18484, 1405, 7340, 547, 946, 17096, 2638, 518, 264, 602, 4308, 609, 3621, 3137, 543, 2689, 707, 1888, 689, 519, 1034, 3181, 23534, 2427, 563, 19324, 2403, 952, 596, 4956, 547, 3247, 593, 11786, 3584, 585, 1382, 4574, 267, 596, 1058, 5965, 538, 4434, 543, 1413, 909, 585, 519, 2178, 7440, 547, 1489, 707, 5098, 563, 10932, 4574, 602, 1711, 2875, 8733, 4656, 616, 4061, 1898, 267, 543, 519, 3584, 585, 1346, 4574, 1058, 1711, 543, 5000, 7255, 15114, 827, 938, 2067, 2200, 563, 763, 7521, 936, 2518, 8337, 568, 1869, 835, 540, 519, 1034, 29653, 3584, 538, 2487, 1296, 269, 0, 3192, 272, 269, 722, 510, 7377, 2827, 949, 711, 581, 4867, 1459, 269, 2073, 4107, 2199, 885, 538, 3162, 4000, 630, 11152, 8472, 9114, 2630, 606, 15820, 540, 476, 4968, 544, 1657, 4262, 1377, 1141, 606, 6059, 1858, 540, 476, 4375, 476, 4335, 5998, 273, 814, 1044, 32519, 269, 901, 2985, 729, 2063, 12995, 593, 476, 273, 5412, 476, 1708, 271, 267, 693, 476, 1691, 281, 4905, 269, 476, 3245, 7422, 538, 17896, 22656, 621, 729, 6700, 602, 25658, 1223, 7639, 17303, 29649, 2175, 585, 1896, 4374, 676, 30565, 532, 2933, 538, 519, 10799, 23628, 267, 6932, 950, 4195, 1216, 8120, 269, 15011, 25428, 267, 681, 269, 2473, 32667, 267, 808, 12171, 269, 2073, 1280, 1082, 1296, 570, 732, 25987, 11491, 32070, 729, 5156, 547, 581, 606, 13591, 3984, 585, 519, 7489, 5761, 22381, 651, 3474, 6782, 574, 639, 530, 6856, 2006, 328, 630, 298, 518, 6975, 267, 476, 6942, 279, 1070, 855, 631, 7865, 28952, 4951, 538, 476, 1960, 273, 602, 713, 729, 20093, 821, 748, 269, 634, 3349, 3568, 5409, 31904, 547, 10070, 7515, 540, 15013, 1759, 593, 519, 2829, 267, 1296, 267, 543, 8963, 1137, 5697, 269, 476, 6736, 519, 1360, 1164, 24186, 6592, 538, 519, 715, 1088, 523, 328, 5211, 267, 6805, 29068, 941, 1869, 1459, 538, 519, 21439, 1519, 281, 536, 2526, 557, 932, 3711, 731, 807, 530, 22844, 6199, 328, 267, 669, 1241, 558, 1749, 267, 23731, 5255, 320, 26347, 630, 30344, 881, 1749, 264, 543, 3276, 8089, 4874, 15939, 26347, 941, 849, 1336, 855, 538, 1360, 1970, 2338, 269, 25672, 860, 27528, 2405, 539, 9934, 523, 476, 10695, 281, 30589, 268, 276, 3607, 269, 543, 570, 732, 25987, 11491, 32070, 281, 31297, 4223, 6882, 2073, 769, 519, 3162, 4000, 267, 519, 2879, 841, 814, 32519, 1114, 2010, 540, 7226, 267, 689, 8933, 267, 12647, 543, 12555, 23668, 547, 6405, 20898, 23854, 543, 25798, 22253, 269, 8419, 267, 16127, 267, 27924, 267, 7147, 267, 17896, 22656, 543, 2475, 7910, 11866, 269, 2073, 898, 568, 21483, 602, 29371, 540, 570, 732, 25987, 11491, 32070, 689, 835, 1216, 7853, 610, 5757, 6952, 618, 547, 1776, 4386, 1780, 1947, 3842, 5017, 267, 16113, 1216, 325, 25717, 267, 799, 3548, 873, 543, 20704, 873, 2663, 267, 5310, 538, 1776, 7226, 269, 2073, 570, 732, 25987, 11491, 32070, 568, 1312, 851, 1156, 21925, 543, 9065, 990, 643, 760, 541, 748, 267, 4352, 9038, 723, 1044, 4080, 269, 476, 901, 533, 13224, 568, 513, 26654, 531, 1242, 2497, 14084, 5612, 1657, 519, 522, 525, 20652, 543, 10953, 1152, 1310, 519, 2879, 841, 814, 6603, 15657, 269, 476, 5525, 538, 18010, 630, 312, 784, 1696, 620, 269, 1426, 264, 609, 6805, 1102, 320, 26915, 543, 3134, 604, 320, 26915, 29068, 267, 2523, 1141, 922, 24186, 616, 1164, 269, 2073, 634, 10285, 7350, 540, 570, 732, 25987, 11491, 32070, 2115, 547, 581, 11567, 538, 1469, 1354, 922, 2551, 6384, 666, 581, 5265, 14648, 689, 11050, 10386, 269, 2073, 769, 8419, 570, 27462, 2806, 321, 2714, 630, 4198, 273, 264, 6592, 513, 5860, 540, 570, 732, 25987, 11491, 32070, 476, 29900, 275, 544, 5889, 273, 799, 8813, 1369, 519, 2039, 540, 24186, 6027, 609, 513, 11709, 966, 8696, 10544, 538, 513, 1297, 540, 4609, 538, 7187, 918, 11445, 313, 21343, 9539, 7614, 267, 1141, 729, 6027, 964, 985, 885, 476, 279, 6246, 269, 277, 26115, 22144, 17168, 269, 273, 544, 5889, 273, 547, 476, 21709, 5038, 269, 275, 26115, 22144, 15946, 2764, 269, 272, 544, 5889, 273, 269, 476, 634, 20169, 7387, 568, 2999, 272, 5889, 273, 6515, 538, 4463, 609, 1063, 476, 272, 269, 276, 543, 476, 275, 269, 279, 627, 528, 3149, 269, 14755, 519, 30594, 4211, 25683, 621, 568, 835, 540, 519, 10545, 3165, 339, 3471, 2139, 543, 693, 519, 1482, 942, 849, 519, 1655, 5498, 29818, 7382, 2450, 269, 634, 594, 30002, 4414, 5903, 540, 21784, 2989, 15661, 476, 1001, 273, 281, 552, 11053, 13679, 279, 1724, 288, 8099, 25172, 274, 269, 570, 732, 25987, 11491, 32070, 568, 11259, 547, 8514, 7190, 543, 5533, 543, 621, 7109, 919, 513, 1507, 4110, 540, 24952, 630, 289, 550, 1335, 11219, 583, 1154, 476, 4198, 277, 267, 918, 691, 599, 5271, 1696, 620, 269, 476, 1220, 280, 1040, 476, 901, 5267, 602, 15285, 540, 10351, 1400, 2281, 538, 519, 9065, 776, 543, 741, 7766, 12625, 538, 519, 2156, 617, 533, 13224, 607, 19046, 27909, 568, 711, 513, 6024, 1184, 936, 513, 9960, 4005, 855, 4386, 607, 835, 610, 811, 1412, 1723, 327, 2176, 262, 610, 1412, 335, 592, 4513, 262, 799, 3247, 1354, 519, 4332, 2557, 540, 1762, 25658, 10301, 922, 5021, 269, 31762, 520, 19780, 636, 1629, 619, 636, 267, 8000, 600, 690, 17662, 5743, 16476, 267, 715, 8233, 2801, 320, 562, 13224, 8932, 1040, 2073, 10426, 633, 29371, 949, 849, 2049, 3842, 18290, 593, 16996, 543, 10935, 13009, 619, 543, 3842, 1216, 29253, 689, 835, 1216, 7853, 547, 1776, 585, 4853, 543, 12555, 5301, 269, 634, 476, 1428, 543, 476, 736, 17529, 3165, 339, 1678, 568, 1634, 607, 513, 14987, 7382, 269, 834, 5353, 1783, 531, 2090, 540, 1079, 5095, 540, 267, 26960, 3999, 529, 645, 269, 715, 1421, 30215, 808, 269, 631, 1421, 674, 31867, 517, 674, 269, 674, 269, 1299, 16763, 514, 654, 269, 681, 269, 630, 2735, 271, 1040, 15661, 814, 17808, 12992, 538, 1804, 4853, 2371, 543, 22253, 538, 513, 3165, 11058, 30987, 538, 5189, 2127, 538, 4000, 267, 1813, 547, 922, 12402, 547, 1831, 1360, 10053, 630, 7343, 13987, 1696, 620, 1421, 476, 1220, 280, 1040, 2368, 533, 923, 689, 1250, 13688, 2807, 1496, 2969, 307, 21815, 316, 19748, 517, 31679, 6652, 689, 1250, 25543, 7382, 1496, 2969, 307, 21815, 316, 3143, 4367, 2838, 1496, 2969, 307, 21815, 316, 9622, 12245, 20167, 322, 269, 476, 634, 2450, 540, 5104, 32596, 693, 4332, 568, 476, 271, 269, 278, 5889, 273, 269, 272, 6515, 269, 13575, 6960, 538, 2681, 267, 476, 278, 547, 476, 1556, 627, 528, 3149, 267, 20436, 2299, 598, 545, 7387, 3337, 609, 1896, 9343, 540, 1507, 16321, 3380, 630, 288, 6277, 2714, 476, 4198, 273, 1040, 2073, 9741, 568, 1634, 540, 519, 1279, 2165, 2551, 15088, 540, 570, 732, 25987, 11491, 32070, 543, 4681, 3100, 547, 581, 30137, 269, 6348, 785, 4246, 13985, 1738, 15661, 18482, 269, 634, 4367, 540, 713, 2249, 538, 519, 12144, 814, 4299, 519, 5065, 1200, 2466, 26029, 7387, 14025, 543, 2623, 630, 7079, 744, 8803, 327, 719, 1696, 620, 269, 589, 1804, 851, 540, 519, 2473, 269, 803, 9807, 328, 6108, 519, 4832, 13964, 538, 1250, 476, 1911, 271, 2148, 16983, 269, 769, 519, 3552, 713, 32729, 7610, 328, 5889, 22935, 630, 2735, 280, 264, 1336, 5207, 24186, 538, 4832, 950, 5210, 6603, 741, 5021, 6466, 22513, 12728, 382, 350, 526, 14162, 1696, 620, 269, 4595, 594, 1185, 630, 1220, 280, 264, 970, 1905, 565, 730, 1239, 676, 962, 784, 1696, 620, 269, 476, 1001, 271, 1040, 769, 4334, 547, 519, 7187, 851, 540, 519, 2475, 267, 1141, 11288, 5526, 547, 581, 519, 1034, 1271, 6152, 585, 519, 4367, 540, 12748, 12362, 2249, 267, 16983, 9038, 540, 519, 4874, 30666, 5198, 540, 9253, 534, 32403, 16321, 1529, 1092, 543, 9253, 534 ]

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

[ 7384, 543, 1239, 14839, 267, 6606, 269, 1284, 786, 3382, 2035, 971, 607, 5365, 10386, 267, 4908, 19003, 267, 543, 28321, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 581, 2111, 547, 5659, 543, 14650, 6786, 1210, 5124, 780, 2162, 28686, 6341, 7204, 692, 14294, 531, 10386, 568, 519, 1184, 540, 14291, 513, 6024, 6066, 5365, 883, 513, 15768, 6066, 5365, 269, 769, 824, 1913, 267, 649, 616, 14291, 513, 5365, 602, 568, 3989, 585, 782, 942, 883, 513, 5365, 602, 568, 1152, 3989, 693, 1808, 942, 1128, 1218, 269, 901, 568, 513, 2629, 1900, 538, 1082, 5365, 4393, 3156, 267, 607, 1034, 3059, 1949, 666, 1152, 1184, 15768, 6066, 6786, 780, 763, 3009, 6256, 2630, 9727, 875, 547, 3732, 513, 6024, 6066, 5365, 1210, 17877, 269, 634, 2387, 338, 2217, 319, 1599, 3217, 538, 513, 6024, 6066, 5365, 543, 513, 1305, 540, 4351, 1128, 1218, 693, 799, 547, 3732, 519, 5365, 269, 634, 2387, 12639, 269, 718, 263, 12690, 318, 13318, 1218, 10922, 1439, 4671, 14725, 322, 23375, 2783, 5849, 602, 782, 519, 4351, 1128, 1218, 616, 1369, 519, 959, 15635, 566, 942, 540, 519, 5365, 780, 3499, 7090, 454, 3698, 3732, 4311, 267, 715, 4671, 14725, 322, 267, 715, 5334, 3263, 267, 1439, 4671, 14725, 322, 267, 4351, 318, 13318, 1218, 2187, 825, 8173, 825, 27842, 519, 6024, 6066, 5365, 693, 519, 2016, 1128, 1218, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 715, 4671, 14725, 322, 2433, 703, 454, 1038, 7089, 540, 942, 1128, 1218, 538, 519, 959, 15635, 730, 5365, 780, 825, 715, 5334, 3263, 2433, 703, 454, 1038, 7089, 540, 5439, 547, 1491, 689, 519, 5365, 780, 825, 1439, 4671, 14725, 322, 2433, 10581, 454, 1038, 7736, 942, 540, 519, 959, 15635, 730, 5365, 780, 825, 4351, 318, 13318, 1218, 2433, 26998, 6783, 454, 1038, 2382, 1218, 693, 799, 547, 3732, 519, 5365, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 1582, 6745, 32294, 5334, 600, 9482, 2433, 26998, 6783, 454, 1038, 6341, 9482, 5365, 780, 825, 8173, 825, 7682, 5286, 269, 718, 263, 12690, 318, 13318, 1218, 10922, 1439, 4671, 14725, 322, 1070, 26444, 1038, 18011, 21579, 7204, 1128, 1218, 1590, 581, 1447, 982, 610, 3160, 547, 1439, 4671, 14725, 322, 9538, 2020, 825, 1582, 6745, 32294, 5334, 600, 9482, 815, 5286, 25910, 18217, 5334, 3263, 994, 825, 1582, 6745, 32294, 5334, 600, 9482, 11468, 316, 815, 1582, 6745, 32294, 314, 12639, 269, 1037, 263, 12690, 318, 13318, 1218, 1040, 770, 4286, 17301, 22708, 825, 2132, 1582, 6745, 32294, 5334, 600, 9482, 454, 7884, 2162, 18140, 1154, 519, 6341, 9482, 28686, 692, 5629, 649, 723, 25541, 519, 5365, 267, 649, 666, 14650, 621, 1210, 32287, 269, 634, 2387, 7120, 319, 1599, 3217, 538, 519, 25541, 5365, 543, 13602, 621, 1996, 519, 942, 1128, 1218, 693, 799, 621, 729, 25541, 269, 634, 2387, 325, 12127, 1125, 319, 9936, 5036, 519, 2450, 540, 519, 4137, 267, 1247, 519, 2387, 27583, 319, 9936, 5036, 519, 2140, 540, 519, 4729, 269, 634, 2387, 7120, 319, 1599, 568, 1031, 547, 4729, 519, 6024, 6066, 5365, 267, 1247, 519, 2387, 7120, 319, 1599, 609, 519, 2387, 262, 549, 262, 319, 4661, 568, 1031, 547, 4729, 519, 25541, 5365, 607, 2699, 10580, 780, 3499, 7090, 454, 3698, 4729, 4311, 267, 715, 4671, 14725, 322, 267, 10386, 318, 13318, 1218, 267, 4729, 18989, 2187, 825, 8173, 825, 1773, 1824, 519, 6024, 6066, 5365, 543, 519, 25541, 5365, 780, 825, 30352, 454, 825, 28612, 734, 454, 825, 715, 4671, 14725, 322, 2433, 703, 454, 1038, 7089, 540, 942, 1128, 1218, 538, 519, 959, 15635, 730, 5365, 780, 825, 10386, 318, 13318, 1218, 2433, 26998, 6783, 454, 1038, 2382, 1218, 693, 799, 519, 5365, 729, 25541, 780, 825, 4729, 2433, 536, 944, 267, 18593, 454, 1038, 6787, 547, 4729, 519, 6786, 269, 4347, 5435, 568, 6936, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 7183, 692, 825, 8173, 825, 952, 4729, 912, 1038, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 476, 275, 4917, 1038, 12301, 26644, 3488, 21579, 7204, 5073, 1038, 12301, 19502, 18828, 30784, 1052, 263, 271, 267, 715, 4671, 14725, 322, 1070, 1582, 6745, 32294, 994, 1038, 12301, 19502, 4433, 600, 7204, 318, 13318, 1218, 267, 1582, 6745, 32294, 5334, 600, 9482, 267, 1412, 549, 3299, 476, 544, 325, 322, 8782, 333, 821, 3299, 12508, 1125, 284, 276, 994, 1038, 12301, 11859, 16932, 3488, 307, 1307, 1496, 338, 316, 5073, 1038, 12301, 269, 29786, 3488, 8649, 680, 3363, 5073, 1038, 12301, 11859, 3916, 9230, 271, 267, 476, 1220, 4917, 1038, 12301, 26942, 263, 12148, 994, 1038, 12301, 20481, 4590, 7884, 2162, 22039, 8606, 18146, 692, 293, 15968, 19003, 568, 519, 1184, 540, 9427, 1978, 12451, 689, 513, 5365, 269, 901, 568, 1419, 2944, 547, 4894, 6846, 610, 547, 1349, 1978, 2934, 689, 519, 5365, 269, 769, 519, 3009, 6256, 2630, 267, 649, 6542, 875, 547, 6882, 513, 5365, 1759, 593, 513, 12939, 269, 634, 2387, 10946, 318, 600, 680, 3363, 319, 1599, 3217, 538, 513, 5365, 543, 513, 12939, 267, 543, 7024, 519, 12451, 543, 7586, 6421, 540, 519, 5365, 602, 616, 1657, 519, 12939, 780, 3499, 7090, 454, 3698, 3193, 318, 600, 680, 3363, 4311, 267, 12939, 2187, 825, 29185, 825, 30352, 454, 825, 28612, 734, 454, 825, 5365, 2433, 26998, 6783, 454, 1038, 28686, 3403, 692, 825, 12939, 2433, 10581, 454, 1038, 8307, 10525, 12451, 936, 713, 12939, 780, 825, 16849, 454, 825, 476, 9339, 8894, 825, 1267, 2433, 26998, 6783, 454, 1038, 28758, 593, 519, 2451, 568, 4908, 543, 6241, 593, 519, 1318, 568, 17931, 780, 825, 8173, 825, 1954, 336, 6958, 2830, 1229, 815, 5286, 27769, 3602, 18828, 269, 11274, 4311, 8807, 516, 336, 264, 3436, 12939, 994, 825, 1267, 815, 5286, 26769, 13906, 523, 622, 9230, 325, 516, 336, 6958, 2830, 1229, 267, 2612, 4311, 8807, 516, 336, 314, 325, 516, 336, 6958, 2830, 1229, 8079, 1070, 7852, 284, 272, 994, 825, 2132, 1267, 454, 7884, 763, 2387, 12639, 27769, 3602, 319, 1599, 7024, 519, 17523, 540, 519, 2609, 538, 519, 5365, 602, 616, 1657, 519, 12939, 269, 1452, 17523, 5330, 547, 519, 12451, 540, 519, 5365, 269, 634, 2387, 12639, 26769, 13906, 523, 622, 319, 1599, 568, 1287, 1031, 547, 9192, 519, 12451, 543, 7586, 6421, 883, 513, 2582, 5044, 267, 799, 568, 8120, 676, 519, 1599, 780, 1103, 3932, 267, 5365, 4393, 568, 513, 2629, 851, 540, 1082, 3156, 267, 689, 8301, 4393, 547, 3239, 4393, 269, 769, 713, 3184, 267, 649, 723, 4988, 930, 2596, 2035, 538, 5365, 4393, 267, 1519, 5365, 10386, 543, 4908, 19003, 269, 1284, 723, 849, 7152, 875, 547, 2936, 891, 2035, 1210, 17877, 543, 32287, 269, 2060, 891, 2645, 267, 596, 666, 1631, 5659, 543, 14650, 6786, 538, 5124, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 346, 12639, 269, 718, 263, 12690, 318, 13318, 1218, 10922, 1439, 4671, 14725, 322, 264, 4153, 333, 17210, 1038, 952, 4729, 912, 2018, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 476, 275, 4917, 2018, 12301, 26644, 3488, 21579, 7204, 5073, 2018, 12301, 19502, 18828, 30784, 1052, 263, 271, 267, 715, 4671, 14725, 322, 1070, 1582, 6745, 32294, 994, 2018, 12301, 19502, 4433, 600, 7204, 318, 13318, 1218, 267, 1582, 6745, 32294, 5334, 600, 9482, 267, 1412, 549, 3299, 476, 544, 325, 322, 8782, 333, 821, 3299, 12508, 1125, 284, 276, 994, 2018, 12301, 11859, 16932, 3488, 307, 1307, 1496, 338, 316, 5073, 2018, 12301, 269, 29786, 3488, 8649, 680, 3363, 5073, 2018, 12301, 11859, 3916, 9230, 271, 267, 476, 1220, 4917, 2018, 12301, 26942, 263, 12148, 994, 2018, 12301, 20481, 10797, 825, 1219, 3193, 318, 600, 680, 3363, 4311, 267, 12939, 2187, 1038, 29185, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 5365, 2433, 26998, 6783, 454, 2018, 28686, 3403, 692, 1038, 12939, 2433, 10581, 454, 2018, 8307, 10525, 12451, 936, 713, 12939, 780, 1038, 16849, 454, 1038, 476, 9339, 8894, 1038, 1267, 2433, 26998, 6783, 454, 2018, 28758, 593, 519, 2451, 568, 4908, 543, 6241, 593, 519, 1318, 568, 17931, 780, 1038, 8173, 1038, 1954, 336, 6958, 2830, 1229, 815, 5286, 27769, 3602, 18828, 269, 11274, 4311, 8807, 516, 336, 264, 3436, 12939, 994, 1038, 1267, 815, 5286, 26769, 13906, 523, 622, 9230, 325, 516, 336, 6958, 2830, 1229, 267, 2612, 4311, 8807, 516, 336, 314, 325, 516, 336, 6958, 2830, 1229, 8079, 1070, 7852, 284, 272, 994, 1038, 2132, 1267, 454, 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, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 28304, 8682, 5937, 12874, 339, 593, 519, 5682, 281, 589, 17714, 27870, 4762, 1211, 717, 6504, 532, 692, 294, 6504, 568, 1419, 9228, 607, 513, 16837, 569, 7328, 267, 8506, 8766, 2168, 11851, 542, 3379, 547, 824, 18942, 2238, 899, 13558, 267, 14912, 267, 610, 11176, 269, 1717, 267, 17075, 6799, 922, 2189, 1305, 540, 2591, 267, 1312, 2930, 543, 5626, 269, 7324, 891, 2790, 23665, 267, 1582, 1673, 12874, 339, 666, 581, 3226, 17672, 547, 2773, 543, 2949, 18399, 540, 519, 3014, 269, 901, 3184, 6663, 547, 2263, 1585, 2994, 6273, 676, 2043, 971, 607, 21001, 24229, 28137, 267, 945, 723, 4597, 539, 538, 741, 9757, 4610, 5103, 6849, 14488, 267, 7175, 1762, 17075, 619, 547, 20630, 1582, 1673, 12874, 339, 543, 2087, 741, 1983, 593, 519, 3039, 780, 296, 269, 4197, 8682, 5937, 12874, 339, 692, 2414, 3927, 10994, 1582, 1673, 12874, 339, 267, 621, 781, 1898, 1101, 547, 1174, 1018, 621, 14122, 269, 8682, 1673, 12874, 339, 4016, 547, 10770, 4606, 540, 10462, 267, 24835, 1464, 267, 543, 1202, 340, 11797, 3823, 835, 781, 5759, 269, 1452, 2942, 4555, 666, 8451, 1813, 547, 1896, 2188, 267, 1519, 2250, 2833, 267, 6848, 6788, 267, 6476, 609, 1866, 267, 543, 4835, 2604, 269, 1306, 11174, 17075, 619, 7832, 593, 741, 3460, 2509, 17117, 540, 519, 7328, 267, 789, 949, 7237, 3871, 602, 9594, 1582, 1673, 12874, 339, 267, 12042, 1359, 741, 3356, 543, 7303, 873, 689, 8757, 741, 2407, 1761, 780, 2862, 269, 17291, 17832, 7970, 540, 8682, 5937, 12874, 339, 538, 717, 6504, 692, 2690, 17075, 619, 267, 1582, 1673, 12874, 339, 666, 8915, 3294, 1282, 2259, 7886, 610, 8013, 4663, 23788, 950, 12394, 4101, 15833, 610, 4730, 896, 1164, 30367, 269, 2368, 1455, 12153, 540, 1582, 1673, 12874, 339, 4810, 676, 21738, 17075, 619, 1331, 1384, 265, 21824, 540, 5821, 281, 1937, 11538, 827, 1818, 9073, 610, 14922, 532, 13951, 543, 1866, 666, 1267, 538, 11688, 2787, 1247, 2921, 2565, 15833, 563, 265, 20134, 1582, 2389, 1779, 281, 4790, 14688, 10874, 908, 13951, 1310, 1169, 14406, 8929, 8309, 547, 1970, 6015, 2157, 543, 2799, 4160, 563, 265, 18948, 609, 9905, 281, 25732, 835, 781, 2702, 1996, 811, 9952, 5716, 666, 1291, 547, 25339, 618, 543, 4389, 8404, 563, 265, 4400, 6788, 281, 17553, 791, 1601, 4601, 1164, 4441, 585, 13951, 5932, 11991, 2566, 543, 2604, 267, 4611, 538, 1016, 9953, 2711, 2773, 780, 7656, 269, 11150, 547, 3683, 2492, 8682, 5937, 12874, 339, 593, 519, 717, 6504, 6092, 692, 19352, 532, 6667, 689, 3811, 5515, 971, 607, 21001, 24229, 28137, 267, 1934, 616, 930, 4052, 4485, 585, 21738, 17075, 619, 32626, 1582, 1673, 12874, 339, 593, 519, 3039, 1384, 272, 269, 22737, 2208, 14820, 281, 22685, 1154, 513, 2208, 14820, 3322, 9301, 602, 13007, 543, 4987, 666, 581, 2919, 998, 4674, 267, 18094, 267, 543, 1565, 269, 28133, 17075, 619, 1058, 1445, 593, 5355, 741, 1983 ]

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

[ 4259, 2417, 883, 1010, 3460, 543, 519, 1915, 5314, 540, 918, 4669, 345, 269, 634, 26704, 1935, 3705, 1206, 3057, 869, 338, 3460, 607, 513, 9258, 15832, 538, 799, 3057, 869, 568, 593, 513, 1391, 585, 519, 5168, 610, 538, 824, 1913, 918, 4669, 345, 269, 1230, 2784, 3096, 538, 11437, 540, 1769, 543, 4158, 2592, 543, 6698, 547, 1711, 713, 12705, 563, 10702, 267, 519, 1079, 17801, 20802, 28209, 538, 7811, 10080, 267, 6788, 540, 2361, 960, 267, 12886, 267, 543, 11008, 1436, 540, 519, 1004, 3594, 6594, 269, 1411, 949, 849, 1265, 1452, 6054, 6435, 995, 269, 12339, 21442, 7869, 538, 2295, 540, 14730, 1145, 4828, 269, 4911, 1564, 543, 3933, 9094, 538, 267, 2295, 540, 267, 14334, 267, 795, 24944, 1230, 571, 1091, 8795, 26841, 540, 2021, 538, 1010, 3209, 269, 9839, 540, 267, 14334, 2488, 15594, 5339, 3069, 609, 15792, 4316, 547, 2263, 519, 936, 2391, 6848, 9598, 566, 540, 530, 558, 839, 4008, 5107, 543, 6788, 538, 519, 3735, 13524, 543, 2038, 14206, 2540, 269, 634, 5354, 540, 15594, 28466, 3409, 602, 1230, 2784, 10419, 340, 919, 30013, 16809, 267, 2943, 972, 616, 513, 1906, 602, 8044, 519, 3209, 568, 575, 25311, 21522, 269, 9995, 571, 575, 559, 6975, 543, 19626, 717, 889, 541, 3409, 1230, 571, 1091, 563, 5353, 1783, 540, 267, 9194, 547, 519, 267, 5087, 676, 267, 512, 599, 20623, 6428, 8811, 910, 1863, 552, 9248, 8281, 454, 291, 691, 1753, 19584, 676, 10923, 9351, 7532, 4000, 267, 713, 568, 513, 17609, 540, 1169, 4199, 1644, 547, 7532, 4000, 269, 2859, 2489, 281, 4000, 834, 3674, 6599, 333, 2762, 2009, 286, 3979, 1118, 31660, 7493, 281, 5565, 17801, 20802, 1765, 18485, 4775, 267, 3043, 267, 543, 3345, 1977, 1765, 13231, 1221, 834, 1492, 1482, 257, 1004, 538, 5101, 4000, 267, 693, 3592, 519, 1482, 942, 267, 543, 3357, 909, 609, 1360, 1114, 2164, 269, 901, 16613, 12136, 2488, 606, 4316, 547, 2263, 2009, 2360, 540, 1114, 24319, 593, 17801, 4919, 2164, 267, 1141, 3355, 30422, 540, 2042, 941, 711, 25921, 4744, 25630, 269, 18378, 8390, 1851, 519, 1004, 6594, 666, 2491, 1152, 851, 540, 519, 27754, 538, 2164, 282, 1114, 2361, 3871, 3100, 547, 723, 3366, 519, 562, 344, 328, 3873, 547, 1459, 1114, 2623, 547, 519, 1079, 24319, 269, 898, 568, 6700, 602, 1454, 540, 1018, 25795, 600, 6215, 831, 6257, 269, 3979, 31660, 281, 1323, 19848, 1670, 23874, 630, 3192, 277, 264, 607, 834, 301, 344, 328, 3873, 2528, 257, 949, 581, 606, 4977, 2272, 540, 562, 344, 328, 3873, 17181, 776, 18902, 951, 269, 0, 3080, 540, 519, 2609, 540, 3047, 781, 13350, 3349, 269, 898, 814, 10570, 1297, 476, 7918, 267, 543, 568, 513, 15626, 3154, 269, 898, 814, 519, 3090, 270, 629, 12934, 2747, 2473, 324, 269, 769, 3339, 2175, 267, 621, 568, 606, 15865, 3154, 267, 855, 952, 5201, 568, 5293, 998, 621, 267, 621, 786, 16657, 1769, 4544, 563, 8450, 849, 281, 5903, 540, 2609, 454, 347, 1911, 343, 1911, 29210, 1475, 1607, 2376, 568, 851, 540, 5741, 15689, 267, 513, 2353, 20002, 1788, 602, 6663, 547, 2328, 3102, 4930, 593, 1142, 3693, 269, 347 ]

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

[ 0, 3698, 2040, 3287, 11971, 2187, 825, 2040, 815, 1535, 1341, 586, 454, 825, 952, 2040, 538, 2039, 263, 1428, 267, 736, 2187, 1038, 2132, 476, 736, 454, 825, 3116, 912, 1038, 2132, 2040, 7531, 2745, 4433, 636, 263, 276, 267, 1321, 4917, 2745, 4433, 636, 263, 275, 267, 1704, 11723, 0, 11133, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 10233, 815, 18358, 1042, 3299, 1412, 19009, 3299, 1412, 18872, 262, 6540, 1721, 630, 320, 14720, 264, 538, 23407, 16325, 267, 10233, 2187, 825, 1820, 5416, 14720, 264, 0, 258, 272, 269, 1037, 609, 8918, 1747, 454, 2745, 263, 1037, 263, 279, 1315, 476, 274, 267, 476, 273, 11723, 258, 273, 269, 28776, 6498, 454, 2745, 263, 279, 12262, 476, 274, 2020, 258, 274, 269, 28294, 1637, 1297, 912, 12163, 266, 23751, 268, 23751, 265, 23751, 270, 284, 692, 1721, 1383, 912, 12163, 16557, 815, 476, 271, 454, 2745, 2891, 16557, 815, 14307, 16557, 2020, 16557, 6834, 476, 272, 454, 2745, 2891, 16557, 815, 14307, 6060, 2020, 18851, 325, 268, 11415, 12163, 16557, 815, 476, 273, 454, 19417, 815, 476, 273, 269, 272, 454, 529, 310, 15619, 815, 6936, 692, 2745, 6600, 257, 7312, 6060, 568, 2715, 16557, 9574, 707, 4463, 568, 2715, 19417, 9574, 596, 616, 10888, 568, 2715, 529, 310, 15619, 348, 5602, 0, 18851, 273, 264, 31626, 1690, 323, 345, 2040, 324, 562, 6132, 345, 321, 2022, 659, 328, 476, 272, 1341, 476, 19442, 1341, 476, 18357, 1341, 476, 29900, 275, 1341, 3267, 563, 291, 5055, 562, 815, 476, 275, 2040, 320, 815, 476, 272, 1341, 476, 2420, 1341, 476, 18357, 1341, 476, 29900, 275, 454, 323, 5055, 562, 815, 476, 277, 2040, 320, 815, 476, 272, 1341, 476, 2420, 1341, 476, 18357, 1341, 476, 29900, 275, 1341, 476, 27898, 4649, 1341, 476, 26116, 26116, 20701, 3698, 2040, 3799, 2187, 825, 2132, 630, 335, 578, 263, 1015, 267, 562, 1341, 476, 272, 264, 2608, 630, 280, 2608, 562, 910, 476, 272, 264, 1341, 476, 1015, 264, 1315, 4073, 263, 280, 267, 476, 274, 264, 910, 562, 2608, 630, 333, 1341, 476, 272, 264, 1315, 476, 1240, 692, 2745, 4433, 636, 263, 274, 11723, 258, 1990, 320, 533, 558, 10087, 4620, 2993, 454, 3698, 2040, 273, 263, 997, 345, 9346, 2187, 825, 2040, 320, 6889, 27029, 825, 585, 1775, 538, 2039, 263, 272, 267, 997, 345, 9346, 266, 272, 17107, 1038, 5430, 14352, 1598, 9217, 12684, 328, 2020, 1038, 2040, 320, 6834, 5430, 1341, 834, 1341, 27029, 825, 1820, 4433, 6373, 2020, 8999, 273, 263, 274, 2020, 258, 561, 889, 1990, 320, 533, 558, 10087, 1592, 344, 454, 4289, 320, 17342, 2639, 3698, 2040, 274, 263, 997, 345, 9346, 2187, 825, 2040, 320, 284, 271, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 997, 345, 9346, 266, 272, 17107, 1038, 5430, 14352, 1598, 9217, 12684, 328, 994, 1038, 30458, 6910, 17301, 6262, 657, 11723, 8999, 274, 263, 274, 994, 2745, 17338, 320, 5148, 5727, 4289, 320, 530, 2022, 659, 328, 5569, 320, 12163, 338, 6373, 284, 271, 454, 1721, 1775, 538, 30458, 912, 825, 2040, 320, 284, 338, 6373, 266, 328, 454, 2745, 4433, 6373, 2020, 692, 7531, 0, 258, 272, 269, 1840, 454, 2745, 263, 274, 1341, 476, 276, 994, 258, 273, 269, 12408, 454, 2745, 263, 278, 910, 476, 274, 994, 258, 274, 269, 8691, 454, 2745, 263, 274, 2608, 476, 273, 994, 258, 275, 269, 6498, 454, 2745, 263, 277, 1315, 476, 273, 994, 258, 276, 269, 1379, 454, 2745, 263, 274, 2878, 476, 273, 2020, 18851, 303, 4932, 291, 3008, 910, 9977, 12330, 5890, 7859, 18527, 10406, 18827, 25513, 454, 4590, 12533, 265, 1315, 454, 266, 910, 29185, 258, 1721, 1383, 454, 2745, 263, 274, 2608, 476, 274, 1341, 476, 274, 1315, 476, 274, 910, 476, 274, 994, 2745, 263, 274, 2608, 630, 274, 1341, 476, 274, 264, 1315, 476, 274, 910, 476, 274, 264, 0, 320, 476, 815, 3403, 2891, 303, 617, 1690, 6132, 345, 2041, 513, 281, 19515, 333, 272, 815, 703, 2891, 260, 338, 257, 260, 513, 994, 333, 273, 815, 703, 2891, 260, 338, 260, 338, 257, 4939, 630, 320, 28083, 4917, 333, 274, 815, 703, 2891, 260, 338, 260, 338, 260, 338, 257, 4939, 630, 320, 28083, 28083, 4917, 2745, 3799, 272, 266, 333, 273, 266, 333, 274, 994, 2745, 3799, 273, 266, 276, 994, 0, 3698, 11718, 10031, 825, 30458, 815, 11713, 825, 585, 1775, 538, 2039, 263, 272, 267, 2641, 2187, 1038, 30458, 6910, 9217, 1262, 273, 994, 825, 1820, 17338, 320, 11468, 276, 7481, 825, 1820, 17338, 320, 15631, 276, 281, 20285, 10090, 1807, 3890, 0, 339, 629, 997, 320, 815, 1496, 279, 267, 273, 267, 272, 267, 280, 267, 276, 2639, 2745, 6025, 629, 997, 320, 2020, 3698, 5542, 31374, 6025, 629, 2187, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 6025, 629, 264, 910, 476, 272, 10778, 1038, 1295, 19340, 815, 1775, 454, 1038, 795, 815, 1775, 1341, 476, 272, 454, 1038, 1247, 795, 2999, 7003, 6025, 629, 2187, 2018, 952, 9184, 314, 2381, 19340, 316, 3436, 9184, 14728, 14158, 3546, 1295, 19340, 815, 795, 454, 2018, 795, 6834, 272, 454, 1038, 9184, 314, 2381, 19340, 3910, 339, 629, 5157, 316, 815, 9184, 5157, 3910, 339, 629, 314, 2381, 19340, 2639, 1038, 1775, 6834, 476, 272, 454, 1038, 1820, 6025, 629, 2020, 572, 3005, 31374, 6025, 629, 997, 320, 994, 0, 3698, 568, 7272, 6055, 318, 17463, 5416, 267, 536, 2187, 825, 1948, 966, 582, 516, 3009, 9079, 328, 454, 825, 2132, 8771, 952, 513, 13843, 476, 271, 543, 536, 13843, 476, 271, 610, 513, 10922, 476, 271, 543, 536, 10922, 476, 271, 3116, 6936, 692, 3698, 2196, 10031, 825, 7682, 568, 7272, 6055, 318, 17463, 263, 277, 267, 476, 278, 264, 2652, 8771, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 263, 272, 267, 476, 271, 264, 2652, 8771, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 8987, 272, 267, 476, 276, 264, 2652, 6936, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 263, 272, 267, 910, 276, 264, 2652, 6936, 454, 825, 7682, 568, 7272, 6055, 318, 17463, 8987, 272, 267, 910, 276, 264, 2652, 8771, 454, 0, 582, 571, 318, 12534, 815, 703, 263, 3863, 17750, 2891, 684, 1003, 3266, 27363, 12534, 815, 3403, 2891, 18404, 324, 796, 1003, 3266, 281, 19515, 2745, 15254, 454, 2745, 522, 10177, 318, 12534, 1341, 476, 1911 ]

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

[ 713, 1957, 649, 6069, 513, 1007, 5690, 538, 942, 15222, 1436, 799, 568, 18726, 23990, 1904, 13705, 532, 5690, 630, 16598, 3036, 1040, 634, 1966, 814, 1044, 15044, 909, 547, 513, 1390, 6708, 1210, 519, 2518, 9219, 1523, 538, 799, 1142, 2199, 9219, 4991, 15222, 1242, 609, 519, 2518, 9219, 865, 602, 519, 3742, 543, 3207, 7154, 540, 9136, 1281, 711, 1860, 519, 6771, 855, 621, 27499, 513, 2603, 540, 1648, 543, 942, 1547, 514, 938, 960, 2073, 933, 723, 6836, 547, 4194, 713, 1966, 1210, 4719, 5690, 607, 952, 519, 1699, 6843, 4991, 513, 3207, 7154, 540, 519, 14232, 7154, 2073, 527, 2824, 1776, 6843, 593, 519, 4493, 540, 942, 4616, 1547, 10472, 1880, 1935, 6971, 519, 3787, 6959, 2557, 543, 519, 1439, 547, 1439, 8488, 267, 1379, 13345, 543, 824, 6724, 849, 563, 8448, 26257, 15080, 454, 8310, 9168, 281, 476, 1001, 274, 268, 1015, 268, 1240, 476, 1428, 281, 1556, 281, 1839, 0, 763, 700, 306, 276, 288, 689, 631, 268, 10976, 729, 513, 20585, 900, 7867, 11896, 2966, 585, 8301, 29208, 269, 634, 700, 306, 3126, 941, 1454, 1031, 676, 519, 5403, 8433, 585, 15146, 4735, 831, 7586, 13294, 269, 6423, 303, 10976, 307, 1839, 563, 763, 700, 306, 276, 288, 729, 5189, 538, 476, 4572, 275, 543, 814, 513, 2539, 25317, 982, 519, 3312, 700, 306, 276, 267, 543, 865, 1223, 3132, 811, 3977, 1379, 269, 13536, 8747, 540, 519, 700, 306, 276, 288, 6410, 547, 513, 25234, 601, 924, 3490, 609, 519, 13021, 10703, 4705, 1369, 563, 1103, 519, 4571, 476, 4572, 271, 338, 519, 2165, 1412, 323, 1638, 900, 7867, 262, 729, 1419, 1031, 547, 3382, 513, 3099, 540, 2504, 3157, 267, 782, 540, 799, 3812, 1970, 2837, 267, 8754, 20585, 267, 12998, 7252, 563, 2304, 3592, 3501, 31960, 1826, 835, 18917, 16826, 269, 901, 7389, 519, 11896, 547, 1063, 5437, 476, 4572, 273, 543, 5181, 476, 4572, 275, 563, 763, 3057, 935, 328, 14642, 1090, 4406, 557, 20446, 31960, 883, 519, 824, 2427, 540, 519, 23508, 563, 763, 19695, 3490, 1698, 609, 519, 589, 585, 606, 1712, 16826, 539, 538, 621, 269, 634, 27129, 8082, 5614, 568, 2938, 593, 519, 1318, 563, 19284, 519, 700, 306, 276, 519, 7470, 568, 8032, 547, 1780, 1166, 2660, 2066, 519, 27129, 269, 19759, 569, 519, 27129, 30141, 966, 814, 7745, 563, 763, 32521, 1439, 609, 1776, 2070, 540, 519, 8032, 7470, 23090, 563, 763, 17891, 23508, 568, 476, 6321, 6515, 538, 8006, 543, 267, 27195, 519, 645, 275, 3490, 20382, 267, 568, 476, 13040, 6515, 7381, 563, 27066, 281, 4578, 1606, 18694, 1299, 476, 1911, 276, 269, 7392, 700, 306, 276, 288, 729, 1101, 5189, 538, 476, 4572, 275, 269, 0, 1103, 519, 2038, 22733, 2540, 717, 3554, 321, 3430, 16695, 966, 4815, 10353, 713, 968, 24030, 10564, 892, 3069, 267, 607, 21564, 519, 9954, 547, 513, 27556, 267, 20822, 267, 12563, 3271, 545, 1184, 602, 1185, 2097, 547, 581, 1572, 968, 295, 9593, 892, 585, 519, 19160, 540, 13418, 269, 968, 763, 5259, 9082, 941, 2933, 25264, 2223, 966, 4815, 5206, 538, 5487, 2233, 27833, 715, 340, 13960, 269, 13536, 602, 2540, 267, 519, 2296, 2006, 7917, 8381, 26871, 1540, 547, 519, 2856, 540, 25264, 779, 3312, 21184, 855, 267, 15663, 602, 1010, 9954, 4330, 1010, 1158, 609, 1390, 9355, 2943, 2760, 2899, 5018, 1603, 610, 2542, 267, 6069, 602, 519, 16380, 941, 711, 2943, 513, 2148, 622, 1004, 693, 519, 942, 602, 646, 5030, 30867, 1898, 3693, 540, 519, 5098, 3474, 787, 1131, 2663, 1020, 563, 8489, 519, 3206, 540, 891, 2038, 13915, 729, 7361, 23019, 267, 3474, 787, 267, 4098, 609, 1010, 476, 4572, 274, 4487, 779, 5098, 693, 519, 2160, 540, 4993, 693, 20588, 267, 4294, 519, 11826, 12170, 2409, 540, 15599, 1108, 269, 769, 602, 5098, 267, 646, 5059, 593, 519, 4542, 545, 13423, 515, 1206, 538, 519, 25264, 545, 9954, 267, 930, 540, 799, 2192, 690, 1227, 4766, 7802, 607, 968, 3333, 1456, 892, 1256, 950, 621, 779, 1044, 3037, 539, 610, 9635, 607, 968, 1873, 3424, 892, 950, 789, 4076, 1044, 6537, 909, 593, 3819, 2244, 585, 1296, 269, 6270, 2453, 267, 3474, 787, 7682, 539, 267, 1705, 711, 5614, 689, 513, 10564, 779, 2247, 855, 689, 513, 968, 24055, 7499, 2245, 892, 602, 1185, 7550, 873, 585, 519, 19160, 540, 741, 1558, 3740, 10626, 269, 630, 763, 2856, 540, 513, 968, 15869, 892, 607, 2278, 814, 1454, 538, 1455, 609, 966, 4815, 779, 3206, 267, 1498, 621, 779, 711, 2312, 602, 3474, 787, 1185, 2479, 11402, 5487, 2233, 27833, 715, 340, 13960, 282, 8197, 1010, 2038, 12591, 3100, 21933, 643, 1190, 547, 519, 1082, 5717, 540, 968, 1492, 25264, 545, 7726, 892, 602, 28263, 1010, 1378, 8094, 2252, 23723, 320, 568, 1419, 1572, 968, 303, 23775, 2223, 646, 5206, 267, 713, 568, 968, 20357, 972, 729, 2230, 799, 1185, 547, 581, 4904, 538, 865, 602, 23723, 2967, 17845, 1496, 2108, 4263, 1156, 320, 892, 538, 25264, 545, 5259, 316, 1223, 2887, 883, 922, 2067, 1747, 543, 519, 15279, 600, 2678, 2095, 12347, 593, 1848, 769, 1010, 476, 4572, 279, 25719, 12031, 693, 519, 29813, 2548, 928, 267, 12261, 689, 519, 3312, 3943, 607, 968, 763, 12465, 9210, 527, 2867, 538, 25264, 2223, 646, 17048, 539, 19421, 540, 1106, 27909, 543, 13006, 741, 7158, 538, 519, 15279, 600, 2678, 1899, 267, 11744, 602, 1142, 835, 1500, 513, 1880, 9295, 547, 1818, 519, 1899, 960, 269, 634, 10564, 1705, 711, 1289, 9635, 968, 1873, 3424, 892, 547, 1289, 3007, 547, 741, 3432, 282, 621, 729, 3274, 519, 2236, 2084, 1031, 676, 519, 5711, 2245, 950, 513, 1978, 1558, 3740, 5311, 729, 1572, 585, 563, 310, 31581, 910, 7600, 545, 910, 7313, 564, 910, 15503, 0, 272, 269, 1703, 616, 936, 476, 1321, 267, 1822, 1884, 2249, 5001, 630, 2004, 538, 519, 5177, 994, 296, 4076, 2938, 10760, 17605, 1354, 855, 2760, 5795, 621, 1454, 2219, 607, 547, 1946, 930, 723, 12209, 543, 930, 1810, 1406, 2483, 296, 2141, 16823, 621, 729, 930, 2186, 540, 968, 24038, 909, 892, 2964, 545, 267, 899, 538, 2780, 3756, 1141, 596, 12260, 10760, 950, 596, 3914, 513, 1978, 1377, 563, 763, 10760, 17605, 593, 519, 824, 1688, 616, 513, 7848, 540, 5256, 19025, 543, 519, 20424, 30842, 2336, 4322, 30842, 786, 3132, 909, 547, 476, 1911, 271, 5798, 829, 1554, 585, 1007, 3935, 903, 2483, 276, 269, 634, 1884, 568, 835, 540, 519, 1158, 779, 16999, 7068, 538, 6935, 547, 922, 2450, 454, 1015, 269, 634, 4102, 1884, 779, 9566, 2479, 1336, 729, 936, 476, 274, 267, 10384, 5195, 2647, 2336, 275, 269, 4165, 338, 616, 519, 13074, 2713, 7786, 2336, 280, 269, 4165, 338, 1810, 1406, 723, 10772, 267, 543, 930, 540, 873, 1810, 1406, 723, 4064, 2336, 279, 269, 4165, 338, 616, 1514, 7786, 799, 2661, 538, 10125, 454, 1862, 8117, 789, 1152, 979, 856, 547, 9742, 2899, 513, 1032, 950, 519, 4365, 568, 1175, 1318, 563, 12901, 338, 596, 7363, 1294, 4881, 1472, 707, 4677, 616, 782, 8951, 256, 2336, 4322, 13617, 1652, 4775, 17605, 798, 782, 519, 960, 540, 519, 12733, 1862, 782, 540, 621, 2336, 3719, 789, 616, 25062, 543, 666, 1406, 16196, 563, 277, 269, 4165, 338, 3180, 519, 2594, 585, 519, 16595, 3350, 538, 519, 3662, 10806, 454, 3383, 1985, 942, 596, 1616, 547, 1205, 519, 17079, 10936, 856, 547, 979, 547, 4884, 593, 891, 6263, 13617, 539, 12961, 267, 1175, 3314, 789, 1152, 2097, 856, 547, 1376, 513, 1920, 2483, 1862, 663, 621, 1152, 4523, 2899, 513, 1032, 256, 2336, 3383, 6148, 1175, 1577, 873, 581, 563, 273, 269, 634, 16886, 1884, 568, 1767, 547, 723, 519, 1034, 11213, 29097, 538, 519, 1158, 2336, 9213, 594, 8118, 909, 519, 4677, 8774, 547, 2007, 856, 519, 2462, 8934, 565, 630, 553, 621, 729, 14495, 3905, 264, 1152, 547, 1265, 606, 1884, 12733, 896, 519, 2025, 11308, 7450, 563, 11917, 16227, 713, 2366, 782, 519, 2370, 1814, 1562, 2790, 256, 594, 729, 1175, 827, 547, 2673, 519, 7450, 543, 4734, 873, 1932, 621, 950, 594, 8068, 930, 1185, 12209, 2336, 274, 269, 9605, 17605, 2014, 936, 11278, 274, 5479, 4502, 540, 3441, 513, 1032, 2336, 278, 269, 4165, 338, 666, 581, 1336, 593, 1169, 2582, 11782, 4849, 19778, 454, 18744, 950, 519, 4365, 568, 1175, 1318, 786, 782, 891, 10760, 5256, 543, 15596, 17605, 8038, 856, 679, 11792, 572, 547, 1376, 1007, 10125, 269, 0, 300, 1278, 540, 2107, 874, 753, 454, 529, 519, 8903, 3020, 1650, 540, 7705, 267, 606, 9721, 12677, 4807, 945, 1219, 1221, 14461, 1514, 3889, 547, 1106, 513, 1920, 609, 513, 3109, 812, 538, 11882, 538, 476, 6245, 280, 269, 7705, 543, 1200, 9393, 1185, 1614, 1453, 1927, 267, 855, 1310, 1010, 2669, 538, 476, 4489, 273, 267, 7705, 12357, 569, 1147, 16781, 1229, 1200, 1453, 547, 606, 29152, 720, 269, 2290, 4627, 1296, 2663, 267, 1200, 1390, 3766, 8681, 8250, 267, 667, 539, 6319, 9966, 874, 1845, 31661, 518, 267, 4682, 538, 3406, 540, 519, 4128, 3297, 713, 12357, 10205, 618, 267, 15691, 538, 519, 1184, 547, 8207, 3344, 540, 1200, 1378, 7526, 609, 1977, 7292, 17478, 543, 4655, 563, 1607, 1433, 568, 519, 4829, 540, 31661, 518, 781, 1391, 269, 769, 621, 267, 1352, 7140, 547, 17728, 267, 12092, 267, 3140, 1382, 267, 543, 11147, 547, 796, 24160, 519, 4241, 1686, 540, 513, 3818, 24055, 2146, 538, 519, 11882, 5211, 9503, 1282, 519, 2038, 14206, 2540, 269, 31661, 518, 6645, 713, 1650, 689, 2789, 642, 656, 720, 2798, 267, 4749, 15175, 1851, 2798, 540, 2070, 547, 4020, 513, 27929, 543, 3102, 5133, 540, 519, 2250, 954, 12827, 609, 1350, 31663, 525, 540, 519, 1459, 269, 634, 1267, 568, 513, 20807, 532, 267, 22161, 8826, 9066, 593, 5198, 543, 1920, 13218, 269, 3487, 2123, 3460, 267, 851, 2686, 12092, 267, 12624, 540, 2107, 874, 753, 454, 1410, 26952, 513, 2370, 8153, 4062, 540, 713, 2197, 781, 2250, 281, 954, 24055, 3885, 602, 15068, 543, 7173, 9229, 5103, 13343, 18844, 4031, 267, 1519, 1346, 10238, 1746, 6404, 268, 15869, 7365, 269, 769, 11430, 3740, 267, 859, 25607, 18340, 267, 713, 9058, 1433, 6038, 3762, 721, 29014, 827, 519, 1158, 607, 938, 1453, 1522, 1294, 621, 269, 0, 19931, 7693, 4027, 5956, 609, 519, 1697, 6284, 540, 989, 686, 874, 1137, 269, 3367, 519, 11673, 543, 1353, 519, 8666, 19922, 540, 18290, 1034, 1455, 538, 3484, 24914, 267, 543, 1544, 519, 1655, 4027, 585, 2659, 7693, 2336, 763, 2030, 814, 3875, 1455, 4408, 269, 634, 2361, 12622, 15634, 666, 581, 1572, 519, 14758, 12622, 15634, 267, 3864, 12622, 15634, 267, 609, 344, 2842, 610, 519, 6640, 18710, 269, 898, 568, 513, 14463, 267, 21064, 2249, 269, 898, 814, 606, 3573, 3597, 1062, 267, 543, 713, 267, 1851, 1866, 267, 568, 519, 23801, 3815, 10834, 602, 621, 568, 513, 18290, 602, 568, 2352, 547, 9004, 269, 769, 519, 4610, 621, 19674, 1034, 4122, 1851, 2371, 602, 616, 521, 1144, 610, 12630, 538, 3376, 9343, 269, 898, 568, 1447, 1455, 1851, 24799, 610, 30485, 269, 589, 2783, 12797, 532, 519, 1646, 540, 519, 2361, 12622, 15634, 568, 519, 5187, 2305, 540, 8105, 269, 898, 568, 849, 2938, 676, 9897, 267, 538, 2250, 999, 543, 538, 2887, 578, 2127, 563, 1607, 2030, 18162, 2059, 519, 2666, 269, 901, 2306, 519, 2361, 12622, 15634, 606, 10546, 585, 7693, 267, 12042, 1359, 922, 2953, 1646, 269, 898, 814, 513, 12402, 547, 12622, 824, 2371, 267, 16550, 873, 547, 10709, 547, 519, 2666, 269, 898, 568, 513, 1360, 8013, 18290, 267, 30286, 513, 2603, 540, 3463, 547, 7693, 269, 1975, 2001, 532, 676, 10786, 15969, 14998, 2500, 17594, 540, 519, 23588, 267, 2705, 267, 519, 946, 540, 2178, 2472, 568, 2556, 267, 607, 789, 991, 547, 23309, 2620, 883, 519, 678, 714, 2345, 540, 519, 2030, 563, 2252, 1411, 1131, 899, 547, 4309, 519, 23906, 4554, 3377, 827, 938, 2709, 267, 1533, 2659, 552, 17733, 2232, 543, 1129, 909, 585, 519, 20394, 269, 2704, 2819, 10805, 585, 519, 20394, 0, 296, 1097, 726, 6979, 5887, 532, 689, 661, 1338, 19921, 639, 2721, 6654, 16198, 547, 971, 2934, 2938, 538, 635, 1115, 269, 901, 1957, 14592, 513, 5812, 4720, 689, 635, 8767, 2534, 547, 3677, 476, 5390, 4703, 538, 519, 9018, 3859, 1062, 269, 634, 2101, 3604, 616, 1813, 547, 519, 9836, 2360, 540, 2799, 8904, 267, 1519, 811, 20085, 4396, 4703, 630, 1345, 3766, 571, 6143, 1070 ]

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

[ 1248, 266, 257, 4465, 269, 2878, 265, 14744, 2018, 2736, 1477, 1038, 8640, 4604, 9131, 272, 11172, 2525, 4580, 9131, 276, 11172, 2525, 4580, 9131, 280, 11172, 11203, 1412, 1412, 6769, 2018, 1820, 19629, 333, 10794, 936, 1422, 333, 14744, 2018, 1820, 2891, 1262, 834, 266, 339, 1248, 266, 257, 4465, 269, 2878, 265, 14744, 2018, 2736, 1477, 17264, 1477, 1038, 1948, 4532, 848, 9444, 2473, 610, 744, 1205, 4465, 1477, 1038, 952, 1293, 2525, 280, 6769, 2018, 1820, 2891, 29228, 936, 8627, 1422, 333, 14744, 2018, 1820, 2891, 763, 3014, 568, 8571, 8627, 14744, 2018, 2736, 1477, 17264, 1477, 1038, 1948, 577, 4474, 519, 6345, 1477, 1038, 952, 2490, 2652, 1412, 302, 262, 6769, 2018, 2490, 8782, 311, 262, 1477, 1038, 3116, 6769, 2018, 2490, 8782, 302, 262, 1477, 18524, 3890 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 337, 15010, 630, 383, 362, 268, 273, 330, 392, 480, 264, 4940, 630, 383, 362, 266, 17487, 369, 10275, 392, 480, 264, 815, 271, 2560, 630, 272, 2020, 337, 15010, 28812, 519, 2990, 6152, 540, 1022, 1448, 623, 3287, 11971, 267, 345, 264, 538, 519, 7077, 780, 11997, 1109, 337, 15010, 815, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 692, 11997, 3830, 630, 272, 264, 3587, 692, 27007, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 9984, 263, 383, 362, 268, 273, 330, 392, 480, 264, 4940, 630, 383, 362, 266, 17487, 369, 10275, 392, 480, 264, 815, 271, 692, 27784, 27883, 343, 268, 272, 264, 3331, 362, 1341, 586, 384, 369, 266, 630, 345, 266, 273, 264, 737, 392, 480, 4940, 630, 383, 362, 266, 17487, 369, 10275, 392, 480, 6661, 271, 692, 27784, 263, 343, 268, 272, 264, 1341, 344, 24179, 345, 266, 273, 264, 815, 271, 692, 27784, 343, 20742, 22271, 268, 274, 284, 271, 692, 27784, 343, 20742, 22271, 284, 274, 780, 1607, 568, 519, 31951, 3830, 540, 519, 2838, 7077, 780, 5416, 264, 1109, 634, 2990, 6152, 540, 519, 1448, 630, 272, 267, 476, 275, 267, 476, 277, 264, 568, 513, 15010, 284, 3331, 362, 266, 275, 384, 369, 266, 277, 330, 392, 480, 780, 763, 3339, 6152, 715, 15010, 1109, 704, 12993, 547, 519, 7077, 568, 715, 15010, 815, 3331, 362, 268, 273, 384, 369, 266, 330, 392, 480, 692, 763, 6152, 3830, 540, 519, 7077, 568, 2016, 676, 267, 630, 337, 15010, 910, 513, 15010, 1040, 715, 15010, 815, 271, 692, 27784, 314, 337, 15010, 268, 630, 383, 362, 266, 275, 384, 369, 266, 277, 330, 392, 480, 264, 4940, 630, 383, 362, 268, 476, 273, 384, 369, 1341, 330, 392, 480, 264, 815, 271, 2560, 630, 272, 2020, 337, 15010, 28812, 519, 2990, 6152, 540, 1022, 1448, 623, 3287, 11971, 267, 345, 264, 538, 519, 7077, 780, 11997, 1109, 337, 15010, 815, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 692, 11997, 3830, 630, 272, 264, 3587, 692, 27007, 343, 383, 362, 20742, 384, 369, 266, 345, 330, 392, 480, 9984, 263, 383, 362, 266, 275, 384, 369, 266, 277, 330, 392, 480, 264, 4940, 630, 383, 362, 268, 476, 273, 384, 369, 1341, 330, 392, 480, 264, 815, 271, 692, 27784, 27883, 343, 268, 272, 264, 383, 362, 1341, 630, 344, 268, 275, 264, 17487, 369, 266, 630, 345, 268, 277, 264, 330, 392, 480, 4940, 263, 383, 362, 268, 476, 273, 17487, 369, 266, 330, 392, 480, 6661, 271, 692, 27784, 263, 343, 268, 272, 264, 910, 273, 12169, 268, 275, 264, 1341, 630, 345, 268, 277, 264, 815, 271, 692, 27784, 343, 268, 273, 344, 266, 345, 266, 272, 284, 271, 780, 1607, 568, 519, 31951, 3830, 540, 519, 7077, 780, 269, 0, 10831, 543, 15051, 538, 12476, 14210, 13760, 519, 1747, 1871, 1062, 269, 476, 276, 12991, 6630, 269, 276, 281, 11512, 3270, 538, 519, 1297, 540, 21325, 540, 519, 1587, 950, 14921, 513, 1297, 676, 7060, 540, 476, 1015, 267, 543, 2491, 3270, 538, 519, 13307, 540, 519, 8918, 1448, 950, 513, 8918, 568, 16611, 610, 5258, 676, 513, 1379, 540, 476, 1015, 269, 2422, 2898, 5991, 3784, 23055, 547, 20301, 7060, 540, 476, 1015, 269, 5890, 7859, 543, 7060, 540, 476, 1015, 25092, 676, 7060, 540, 4557, 19147, 676, 7060, 540, 4557, 25092, 543, 7941, 676, 7060, 540, 4557, 476, 276, 12991, 6630, 269, 276, 281, 11512, 3270, 538, 519, 1297, 540, 21325, 540, 519, 1587, 950, 14921, 513, 1297, 676, 7060, 540, 476, 1015, 267, 543, 2491, 3270, 538, 519, 13307, 540, 519, 8918, 1448, 950, 513, 8918, 568, 16611, 610, 5258, 676, 513, 1379, 540, 476, 1015, 269, 2422, 2898, 5991, 3784, 23055, 547, 20301, 7060, 540, 476, 1015, 269, 5890, 7859, 543, 7060, 540, 476, 1015, 25092, 676, 7060, 540, 4557, 19147, 676, 7060, 540, 4557, 25092, 543, 7941, 676, 7060, 540, 4557, 476, 276, 12991, 6630, 269, 277, 281, 3367, 267, 2328, 267, 543, 5635, 17447, 547, 8536, 2195, 269, 476, 276, 12991, 6630, 269, 277, 281, 3367, 267, 2328, 267, 543, 5635, 17447, 547, 8536, 2195, 269, 476, 276, 12991, 6630, 269, 277, 18502, 281, 3367, 543, 2328, 17447, 547, 8536, 2195, 1210, 3490, 268, 1084, 27766, 267, 1297, 4408, 267, 543, 9450, 1106, 267, 552, 3052, 1421, 476, 31003, 269, 4375, 273, 815, 476, 274, 6398, 476, 1911, 1341, 476, 275, 6398, 476, 1015, 1341, 476, 278, 6398, 476, 272, 1341, 476, 274, 6398, 630, 272, 270, 1015, 264, 1341, 476, 280, 6398, 630, 272, 270, 1911, 264, 1341, 476, 273, 6398, 630, 272, 270, 1911, 271, 1040, 12476, 268, 1084, 27766, 7089, 4408, 30771, 539, 1106, 476, 276, 12991, 6630, 269, 277, 18502, 281, 3367, 543, 2328, 17447, 547, 8536, 2195, 1210, 3490, 268, 1084, 27766, 267, 1297, 4408, 267, 543, 9450, 1106, 267, 552, 3052, 1421, 476, 31003, 269, 4375, 273, 815, 476, 274, 6398, 476, 1911, 1341, 476, 275, 6398, 476, 1015, 1341, 476, 278, 6398, 476, 272, 1341, 476, 274, 6398, 630, 272, 270, 1015, 264, 1341, 476, 280, 6398, 630, 272, 270, 1911, 264, 1341, 476, 273, 6398, 630, 272, 270, 1911, 271, 1040, 12476, 268, 1084, 27766, 7089, 4408, 30771, 539, 1106, 476, 276, 12991, 6630, 269, 277, 12500, 281, 14424, 1079, 17447, 547, 8536, 2195, 1759, 593, 10096, 540, 519, 9704, 538, 1142, 1747, 267, 1210, 3436, 267, 815, 267, 543, 2999, 6698, 547, 2594, 519, 2164, 540, 16198, 269, 476, 276, 12991, 6630, 269, 277, 12500, 281, 14424, 1079, 17447, 547, 8536, 2195, 1759, 593, 10096, 540, 519, 9704, 538, 1142, 1747, 267, 1210, 3436, 267, 815, 267, 543, 2999, 6698, 547, 2594, 519, 2164, 540, 16198, 269, 9524, 4238, 609, 3818, 18251, 2898, 2338, 543, 609, 17447, 547, 4627, 2195, 269, 476, 276, 12991, 6630, 269, 279, 281, 12071, 1836, 9062, 3818, 18251, 2898, 2338, 1210, 519, 3044, 5690, 269, 25092, 676, 476, 273, 18251, 2338, 25092, 676, 476, 274, 18251, 2338, 25092, 1614, 610, 811, 2338, 476, 276, 12991, 6630, 269, 279, 281, 12071, 1836, 9062, 3818, 18251, 2898, 2338, 1210, 519, 3044, 5690, 269, 25092, 676, 476, 273, 18251, 2338, 25092, 676, 476, 274, 18251, 2338, 25092, 1614, 610, 811, 2338, 476, 276, 12991, 6630, 269, 280, 281, 4855, 2898, 5991, 3784, 9889, 1801, 540, 2898, 2338, 609, 909, 547, 2185, 18251, 27993, 543, 1079, 18251, 16975, 267, 1210, 2994, 1759, 593, 1747, 1871, 267, 519, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 8691, 543, 6498, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 476, 273, 18251, 543, 476, 274, 18251, 27993, 476, 275, 18251, 27993, 11150, 476, 276, 12991, 6630, 269, 280, 281, 4855, 2898, 5991, 3784, 9889, 1801, 540, 2898, 2338, 609, 909, 547, 2185, 18251, 27993, 543, 1079, 18251, 16975, 267, 1210, 2994, 1759, 593, 1747, 1871, 267, 519, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 8691, 543, 6498, 269, 16503, 3433, 543, 2491, 519, 9819, 676, 1210, 4834, 267, 14328, 14249, 267, 543, 5924, 1858, 3631, 269, 476, 273, 18251, 543, 476, 274, 18251, 27993, 476, 275, 18251, 27993, 11150, 476, 276, 12991, 6630, 269, 1015, 281, 5410, 267, 10208, 267, 9062, 267, 543, 7941, 17447, 547, 4627, 2195, 267, 1210, 6405, 3631, 610, 12400, 543, 2994, 1759, 593, 1747, 1871, 267, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 1840, 543, 12408, 282, 9305, 519, 4640, 547, 513, 2854, 1505, 543, 2491, 519, 7744, 1031, 269, 5410, 543, 10208, 25092, 17447, 543, 2898, 2338, 25092, 1079, 17447, 19147, 476, 3953, 269, 24908, 4238, 476, 276, 12991, 6630, 269, 1015, 281, 5410, 267, 10208, 267, 9062, 267, 543, 7941, 17447, 547, 4627, 2195, 267, 1210, 6405, 3631, 610, 12400, 543, 2994, 1759, 593, 1747, 1871, 267, 3601, 540, 4238, 267, 543, 5924, 519, 2078, 1063, 1840, 543, 12408, 282, 9305, 519, 4640, 547, 513, 2854, 1505, 543, 2491, 519, 7744, 1031, 269, 5410, 543, 10208, 25092, 17447, 543, 2898, 2338, 25092, 1079, 17447, 19147, 476, 3953, 269, 24908, 4238, 0, 309, 665, 17845, 1609, 5451, 14255, 533, 5451, 326, 2088, 476, 272, 1372, 476, 276, 692, 258, 476, 272, 692, 272, 269, 681, 807, 814, 681, 335, 736, 267, 476, 1822, 543, 1352, 1810, 919, 681, 335, 1015, 267, 476, 1822, 540, 1200, 2724, 585, 17493, 269, 3973, 1010, 3993, 3947, 1200, 681, 335, 1428, 267, 476, 1822, 563, 1692, 1454, 2724, 1281, 1352, 723, 1631, 2496, 273, 269, 5565, 25965, 723, 606, 3160, 1858, 269, 634, 2450, 540, 519, 1101, 13551, 568, 476, 2190, 9492, 676, 476, 736, 4699, 269, 634, 2450, 540, 519, 8700, 540, 454, 1278, 13551, 568, 476, 1626, 4699, 269, 875, 1082, 4699, 519, 3259, 540, 519, 824, 13551, 2496, 274, 269, 4855, 519, 4320, 543, 519, 2627, 1858, 540, 513, 13306, 799, 6316, 568, 476, 1839, 4699, 780, 275, 269, 634, 3259, 540, 519, 2427, 540, 519, 4009, 568, 476, 1704, 4699, 269, 1265, 519, 15943, 543, 1858, 540, 519, 4009, 780, 276, 269, 4855, 519, 4320, 543, 2627, 1858, 540, 519, 7750, 1355, 780, 273, 692, 277, 269, 19378, 814, 681, 335, 3374, 267, 476, 1822, 269, 1261, 6499, 547, 4444, 513, 556, 600, 540, 1957, 1942, 681, 335, 3451, 267, 476, 4335, 543, 513, 3640, 540, 31940, 1942, 681, 335, 2764, 267, 476, 12573, 563, 1692, 1454, 2724, 1281, 646, 991, 547, 1205, 547, 2628, 1312, 3688, 646, 6499, 547, 4444, 2496, 278, 269, 2605, 3471, 4677, 814, 513, 25521, 3337, 269, 634, 2450, 540, 519, 5011, 616, 476, 1789, 544, 543, 476, 1839, 544, 269, 621, 786, 581, 12630, 4054, 609, 454, 1492, 3845, 476, 273, 544, 835, 1776, 1472, 519, 4677, 269, 1215, 1082, 4054, 2838, 2496, 279, 269, 590, 842, 553, 4677, 814, 519, 3337, 540, 513, 4009, 609, 476, 2412, 544, 3259, 269, 681, 26320, 4677, 814, 519, 3337, 540, 25521, 609, 476, 1839, 454, 332, 4463, 269, 4256, 10651, 723, 606, 3160, 2450, 269, 1215, 1279, 519, 8700, 540, 681, 26320, 4677, 2496, 280, 269, 634, 8700, 540, 519, 13551, 568, 476, 280, 4699, 269, 519, 15943, 540, 519, 13551, 568, 476, 7918, 4699, 269, 1265, 519, 3259, 543, 519, 1858, 540, 519, 454, 5550, 4120, 780, 1015, 269, 26304, 1207, 903, 513, 25099, 585, 681, 335, 3374, 267, 476, 1822, 543, 513, 6292, 540, 26852, 585, 681, 335, 3953, 267, 476, 4335, 269, 1261, 17188, 1210, 1079, 12014, 540, 681, 335, 476, 2004, 267, 476, 1822, 269, 1215, 454, 332, 1276, 1689, 1281, 646, 1205, 2496, 274, 454, 1556, 269, 634, 15943, 540, 519, 4009, 568, 476, 9834, 4699, 269, 1265, 519, 3259, 543, 519, 1858, 540, 519, 4009, 780, 1321, 269, 769, 519, 7245, 5604, 267, 972, 568, 513, 10518, 540, 25879, 10833, 269, 634, 3259, 540, 519, 10518, 568, 476, 2190, 10833, 269, 634, 8700, 568, 476, 1626, 454, 7901, 525, 269, 1656, 519, 4463, 568, 476, 1015, 10833, 269, 1215, 1082, 10833, 616, 972, 538, 519, 10518, 2496, 1724, 269, 30370, 568, 7206, 519, 6821, 602, 8032, 513, 13551, 269, 634, 3259, 540, 519, 6821, 568, 476, 736, 544, 543, 519, 8700, 568, 476, 1691, 544, 269, 476, 272, 4846, 454, 335, 5593, 2614, 547, 5862, 476, 279, 544, 454, 273, 454, 269, 1215, 1082, 4846, 540, 5862, 568, 2838, 676, 30370, 2496, 1691, 269, 4855, 519, 4320, 543, 2627, 1858, 540, 519, 7750, 6950, 780, 275, 454, 1428, 269, 23821, 2088, 1207, 903, 513, 666, 540, 12897, 585, 681, 335, 7871, 267, 476, 16020, 543, 513, 11480, 540, 12450, 9440, 21360, 585, 681, 335, 2537, 267, 476, 14596, 269, 23821, 2088, 17188, 1210, 454, 305, 335, 1911, 267, 476, 1822, 269, 1215, 1454, 1689, 1281, 1352, 1205, 2496, 1626, 269, 634, 1858, 540, 513, 2019, 28380, 5480, 568, 476, 13301, 544, 454, 273, 454, 663, 519, 8700, 568, 476, 1428, 544, 269, 519, 3368, 540, 2019, 28380, 5480, 729, 13556, 5835, 563, 1692, 1082, 544, 454, 273, 454, 1492, 1858, 540, 519, 5835, 2361, 2496, 1704, 269, 4855, 519, 4320, 543, 2627, 1858, 540, 513, 13306, 799, 6316, 568, 476, 2641, 4699, 780, 1240, 269, 634, 1858, 540, 513, 4009, 568, 476, 18597, 4699, 454, 273, 454, 269, 4855, 519, 3259, 543, 519, 15943, 540, 519, 4009, 780 ]

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

[ 4611, 2497, 267, 2356, 1572, 968, 2590, 1106, 2223, 568, 1419, 1031, 676, 2038, 5259, 15023, 547, 1665, 1055, 1713, 6810, 540, 513, 2239, 269, 3883, 18479, 1597, 3587, 538, 713, 5133, 606, 968, 788, 22690, 542, 2223, 513, 20538, 12473, 267, 29600, 676, 13341, 609, 19449, 576, 269, 1656, 519, 9035, 538, 7734, 27607, 998, 3828, 10679, 616, 2933, 29600, 538, 519, 1482, 1259, 676, 30328, 779, 7237, 609, 519, 1912, 2801, 659, 2103, 563, 2691, 649, 1413, 693, 621, 689, 713, 3677, 5133, 267, 519, 771, 9879, 540, 19449, 576, 543, 1200, 5912, 689, 5906, 6822, 10631, 816, 547, 7874, 948, 1889, 564, 538, 3883, 14210, 3587, 851, 540, 519, 10564, 779, 2239, 4640, 585, 513, 2101, 851, 540, 519, 6648, 269, 634, 3492, 878, 3029, 540, 519, 1650, 12927, 19320, 1063, 3197, 543, 3871, 267, 2679, 2495, 676, 17279, 267, 513, 3844, 4183, 540, 25264, 779, 19621, 4480, 269, 18623, 723, 6700, 602, 519, 946, 540, 7368, 3029, 593, 1585, 2157, 267, 1913, 267, 2453, 267, 543, 3677, 2239, 3889, 267, 9356, 519, 5888, 540, 25264, 545, 12473, 1510, 519, 5351, 540, 1603, 269, 2334, 4667, 2693, 267, 855, 938, 9787, 540, 519, 9954, 1631, 267, 607, 6378, 267, 2854, 1568, 540, 1148, 267, 5673, 593, 1373, 2111, 547, 1174, 875, 519, 7376, 945, 2813, 519, 8747, 649, 1631, 723, 1031, 602, 17279, 547, 1628, 2495, 563, 306, 9430, 593, 998, 519, 1554, 543, 883, 14334, 267, 519, 16380, 3914, 519, 2244, 540, 519, 595, 20810, 2103, 2676, 413, 376, 510, 394, 511, 16708, 15403, 3852, 374, 10382, 30307, 370, 3852, 377, 15770, 395, 484, 394, 511, 16575, 413, 379, 481, 3852, 374, 15770, 24681, 10382, 16575, 21227, 19031, 19031, 394, 511, 14832, 14267, 15403, 281, 3852, 379, 30307, 494, 29857, 394, 511, 12631, 14267, 16483, 413, 378, 377, 14668, 30307, 494, 16483, 14267, 30307, 374, 19084, 454, 413, 376, 510, 394, 511, 16575, 15403, 14267, 19084, 26420, 10382, 394, 511, 15184, 22886, 14832, 3852, 374, 10382, 16483, 10382, 29857, 394, 511, 16708, 24681, 15770, 16483, 10382, 15403, 31057, 478, 24681, 16483, 29111, 14832, 15770, 17385, 17385, 15403, 14832, 2676, 14267, 30307, 498, 15184, 413, 378, 377, 18841, 377, 479, 11027, 32703, 16483, 413, 378, 377, 31057, 480, 14832, 21566, 16483, 15770, 29111, 395, 485, 413, 379, 481, 17385, 15403, 12631, 16708, 30307, 372, 19084, 3852, 379, 30307, 494, 16708, 10382, 14832, 30307, 372, 14832, 31057, 478, 17385, 16483, 15770, 16708, 32703, 15770, 14832, 16483, 10382, 2676, 14267, 30307, 498, 15184, 413, 378, 377, 18841, 377, 483, 16483, 413, 378, 377, 31057, 480, 14832, 31057, 480, 395, 486, 31057, 494, 11027, 30307, 370, 29339, 10382, 413, 379, 500, 10382, 14832, 31057, 478, 11027, 413, 378, 377, 3852, 379, 30307, 494, 16708, 10382, 14832, 32703, 15184, 15770, 14832, 12631, 16708, 14267, 16483, 16708, 31149, 11027, 24341, 16483, 10382, 15403, 2676, 413, 376, 478, 16575, 16575, 413, 378, 377, 31057, 494, 11027, 30307, 370, 3852, 377, 30307, 374, 394, 378, 18841, 377, 478, 16575, 14267, 30307, 368, 26018, 394, 511, 16483, 10382, 16483, 10382, 15403, 24818, 15770, 15403, 16575, 14267, 413, 379, 500, 17385, 15403, 16061, 16708, 14267, 16483, 14267, 413, 379, 500, 17385, 15403, 563, 8243, 6139, 1042, 676, 12269, 543, 20893, 282, 711, 2479, 593, 873, 454, 323, 3996, 519, 26124, 3141, 1413, 1524, 609, 922, 12345, 2676, 2254, 950, 621, 2306, 922, 1259, 2066, 519, 5182, 787, 30723, 2676, 24335, 950, 621, 12599, 1394, 1586, 547, 3618, 689, 519, 6607, 2676, 8117, 2141, 1989, 574, 3781, 21018, 936, 530, 4958, 3481, 6180, 1023, 563, 763, 32096, 3852, 374, 15770, 24681, 10382, 16575, 21227, 19031, 19031, 394, 511, 14832, 14267, 15403, 5036, 519, 3159, 281, 30328, 568, 22892, 2786, 883, 519, 21933, 643, 542, 646, 814, 1044, 10010, 547, 2057, 269, 2836, 2988, 810, 779, 27972, 752, 267, 1951, 21794, 1864, 1524, 883, 519, 4158, 4262, 630, 276, 269, 25834, 1700, 27088, 1070, 1631, 31272, 8986, 607, 513, 25136, 540, 14334, 602, 1159, 1278, 338, 1864, 4625, 267, 1100, 9101, 269, 634, 968, 290, 20810, 2103, 892, 9468, 1100, 1747, 649, 666, 2697, 269, 634, 3140, 1004, 609, 602, 2012, 15151, 12306, 538, 1018, 568, 1631, 12907, 267, 1247, 25264, 779, 595, 20810, 2103, 2661, 538, 519, 2484, 4639, 593, 519, 6316, 540, 519, 5836, 602, 789, 16545, 1958, 597, 743, 532, 519, 3618, 269, 1306, 8912, 267, 519, 11585, 568, 26704, 543, 7361, 12572, 269, 634, 13675, 547, 519, 2244, 540, 519, 4666, 568, 1271, 607, 513, 2168, 23314, 540, 519, 4986, 1145, 602, 27938, 30328, 782, 519, 1259, 1753, 269, 898, 779, 15991, 9670, 602, 519, 1753, 540, 4666, 1004, 1058, 1404, 713, 1909, 269, 1548, 568, 11495, 568, 875, 519, 10564, 6402, 713, 14334, 547, 1346, 1869, 538, 519, 1158, 540, 519, 2713, 563, 763, 19001, 543, 15093, 538, 3515, 476, 2420, 268, 3451, 2992, 12738, 1336, 538, 5259, 2528, 950, 6180, 1023, 1336, 2933, 2282, 519, 1158, 540, 519, 4666, 269, 898, 779, 1419, 1044, 7074, 602, 30328, 1281, 711, 267, 538, 1249, 267, 2479, 4283, 519, 896, 16447, 267, 855, 14805, 976, 519, 15293, 338, 547, 519, 1973, 23752, 546, 3558, 593, 519, 6316, 269, 901, 1469, 1058, 711, 1832, 721, 689, 3206, 827, 519, 12558, 607, 606, 1383, 540, 519, 737, 520, 629, 12118, 14953, 609, 782, 922, 12205, 269, 634, 8628, 267, 27972, 1136, 14334, 538, 519, 2244, 540, 519, 595, 20810, 2103, 814, 2907, 1045, 12097, 519, 13513, 540, 519, 896, 16447, 543, 4448, 621, 547, 519, 21933, 643, 542, 602, 27938, 30328, 11992, 269, 634, 1648, 538, 519, 12558, 2501, 689, 519, 13341, 602, 30328, 814, 609, 1585, 5515, 269, 2334, 891, 11401, 4755, 593, 519, 10465, 2306, 519, 12558, 513, 3226, 4090, 748, 1929, 1400, 1995, 267, 593, 519, 6316, 540, 519, 1634, 543, 7164, 267, 519, 2713, 543, 519, 4666, 563, 763, 15293, 338, 15624, 1472, 519, 26481, 546, 3558, 267, 513, 3444, 16687, 267, 538, 519, 1893, 540, 2038, 5259, 6965, 267, 540, 8103, 281, 1762, 543, 2025, 267, 2367, 543, 2021, 267, 7980, 2407, 540, 588, 629, 16398, 269, 1358, 19060, 1394, 543, 8521, 267, 11423, 519, 2011, 609, 16564, 15770, 17385, 11027, 15770, 17385, 29111, 413, 379, 481, 31057, 364, 10382, 395, 485, 413, 379, 485, 267, 968, 320, 581, 32612, 1359, 6846, 892, 630, 6246, 1040, 12846, 538, 1852, 1256, 538, 519, 896, 16447, 267, 30328, 8952, 873, 693, 513, 3845, 609, 1010, 18156, 267, 7996, 585, 1855, 2231, 5362, 563, 291, 574, 1442, 267, 717, 269, 476, 2735, 280, 269, 634, 30767, 540, 519, 31660, 267, 476, 15836, 1700, 9610, 269, 2549, 615, 560, 267, 10790, 281, 2160, 540, 12590, 4964, 563, 10955, 2072, 267, 631, 15030, 269, 476, 2735, 278, 269, 25264, 281, 7313, 564, 540, 519, 594, 2993, 611, 267, 476, 8618, 1700, 6507, 269, 22768, 543, 5507, 281, 8592, 22846, 2160, 4964, 563, 3891, 4209, 1188, 267, 589, 269, 543, 14208, 2131, 14259, 267, 589, 269, 1196, 269, 476, 2735, 280, 269, 589, 19410, 776, 593, 25264, 779, 31660, 267, 2019, 269, 4083, 267, 7734, 26577, 1700, 311, 9654, 267, 476, 4037, 268, 8064, 269, 10228, 281, 10228, 2160, 4964, 563, 29409, 13769, 267, 808, 269, 476, 1220, 274, 269, 589, 12660, 542, 547, 25264, 779, 31660, 267, 476, 9818, 1700, 10441, 269, 4639, 1636, 267, 11632, 281, 5682, 6229, 4964, 563, 301, 698, 2401, 267, 631, 269, 476, 1960, 277, 269, 968, 291, 1348, 31001, 4860, 529, 1243, 1848, 769, 2480, 515, 514, 267, 590, 269, 476, 1960, 277, 269, 7335, 519, 31660, 269, 23134, 281, 23134, 2160, 4964, 267, 476, 15221, 1700, 14341, 563, 3725, 514, 14551, 339, 267, 918, 269, 476, 3707, 273, 269, 968, 763, 24601, 538, 519, 31660, 1848, 769, 2480, 515, 514, 267, 590, 269, 476, 1960, 277, 269, 7335, 519, 31660, 269, 23134, 281, 23134, 2160, 4964, 267, 476, 10441, 1700, 8099, 563, 1320, 531, 2006, 267, 654, 269, 476, 1960, 273, 269, 634, 31660, 281, 606, 12473, 540, 2132, 267, 476, 6434, 1700, 11152, 269, 1715, 3840, 281, 570, 3118, 928, 23255, 563, 302, 323, 903, 22040, 10742, 519, 15293, 338, 540, 4432, 5155, 528, 267, 4165, 1731, 548, 807, 267, 543, 1855, 2231, 5362, 563, 2026, 8912, 267, 25264, 2306, 721, 7227, 585, 519, 2462, 7237, 609, 1855, 2231, 5362, 269, 3689, 267, 649, 2743, 519, 15293, 630, 395, 486, 21227, 395, 485, 394, 362, 264, 540, 4432, 5155, 528, 267, 1010, 796, 10767, 1221, 1560, 9044, 1359, 593, 19449, 576, 779, 6532, 269, 1261, 1917, 338, 30328, 585, 19746, 543, 649, 5873, 519, 1650, 540, 1010, 2669, 1586, 630, 22396, 269, 476, 1015, 269, 31134, 1700, 11740, 1040, 2060, 891, 18627, 267, 519, 10564, 585, 2471, 513, 3095, 1063, 7734, 14210, 267, 18479, 1597, 267, 543, 3828, 10679, 267, 4758, 513, 2601, 585, 519, 16380, 547, 2132, 547, 19449, 576, 779, 6532, 269, 4432, 5155, 528, 568, 538, 513, 2027, 7121, 540, 6543, 486, 21227, 395, 485, 394, 362, 269, 1261, 3112, 2943, 3444, 936, 883, 519, 896, 16447, 1317, 1010, 1560, 3788, 796, 10767, 1221, 267, 865, 646, 25601, 1010, 3965, 267, 799, 786, 14897, 950, 646, 13788, 269, 634, 824, 6543, 486, 395, 491, 395, 485, 10382, 15403, 1590, 4235, 519, 1973, 689, 519, 546, 3558, 547, 22919, 741, 8823, 543, 1287, 1152, 17303, 269, 630, 763, 9868, 1934, 568, 1855, 2231, 5362, 267, 945, 25601, 1010, 4412, 4854, 7060, 1256, 538, 519, 896, 16447, 4700, 30328, 267, 3020, 547, 1010, 24123, 4567, 267, 666, 9886, 10151, 1480, 9637, 547, 519, 4666, 269, 634, 2164, 786, 711, 2141, 581, 6126, 585, 873, 563, 1348, 2407, 1557, 454, 763, 1893, 540, 4432, 5155, 528, 779, 7662, 31061, 1776, 4583, 1139, 997, 566, 912, 8072, 16575, 29111, 17385, 17385, 14267, 19031, 413, 378, 377, 18841, 377, 495, 11027, 30307, 366, 16708, 6543, 486, 21227, 395, 485, 413, 379, 484, 19084, 3852, 374, 10382, 30307, 370, 29339, 14267, 395, 491, 14832, 22886, 14832, 21566, 413, 379, 370, 14832, 26018, 15770, 26018, 14267, 24681, 394, 362, 22886, 14832, 454, 19031, 394, 362, 13179, 15770, 31057, 498, 10382, 12631, 10382, 16708, 30307, 364, 3852, 377, 24341, 21227, 17385, 30307, 370, 3852, 374, 395, 491, 14832, 10382, 19084, 3852, 374, 10382, 16483, 10382, 29857, 31149, 395, 486, 10382, 15403, 31057, 486, 395, 485, 10382, 15403, 413, 379, 370, 14832, 2676, 413, 376, 478, 16575, 16575, 30307, 364, 21566, 30307, 374, 13179, 30307, 366, 14832, 6543, 485, 10382, 16575, 24681, 32703, 14832, 26018, 15770, 31057, 483, 16575, 15403, 19084, 6543, 485, 16708, 21227, 17385, 32703, 14832, 26018, 15770, 24818, 394, 511, 29857, 15770, 394, 378, 14267, 454, 29857, 413, 379, 370, 16708, 10382, 26018, 31149, 26018, 14267, 15403, 24818, 395, 492, 17385, 14267, 21227, 17385, 15403, 12631, 10382, 16483, 30307, 368, 16708, 3852, 374, 10382, 30307, 370, 12631, 32703, 16483, 14832, 15403, 10382, 13179, 394, 362, 16483, 24341, 16708, 2676, 17385, 413, 379, 370, 19031, 10382, 24818, 30307, 366, 3852, 379, 413, 376, 368, 24681, 10382, 29857, 413, 378, 377, 31057, 494, 19031, 30307, 372, 14832, 24818, 32703, 19031, 15770, 14832, 10382, 15403, 12631, 31149, 16575, 15403, 14832, 267, 18841, 377, 482, 395, 484, 16708, 10382, 12631, 21227, 16708, 32703, 19084, 13179, 15770, 454, 394, 353, 16708, 413, 379, 370, 15770, 19084, 3852, 374, 10382, 30307, 370, 3852, 353, 16708, 395, 492, 22886, 14832, 31057, 482, 16575, 14267, 395, 485, 14267, 15403, 18494, 15770, 16575, 31149, 395, 485, 22886, 17385, 15403, 16564, 10382, 14832, 32703, 14832, 16483, 10382, 563, 296, 1917, 596, 676, 707, 1272, 267, 707, 19704, 267, 543, 707, 3237, 2676, 4777, 711, 4734, 803, 676, 519, 9635, 585, 519, 5243, 540, 519, 21926, 2801, 753, 547, 3548, 2676, 8117, 596, 1491, 519, 10731, 19730, 543, 4154, 972, 2676, 326, 22284, 602, 1250, 4651, 543, 3993, 786, 2285, 596, 2676, 663, 1577, 1250, 1560, 979, 1394, 1753, 1586, 267, 865, 519, 18858, 329, 753, 454, 663, 741, 24726, 666, 2285, 803, 1250, 6712, 540, 519, 3595, 563, 300, 677, 958, 20754, 543, 7643, 689, 2669, 267, 670, 10725, 13922, 585, 513, 5869, 779, 19746, 693, 31684, 269, 31456, 26814, 713, 5418, 320, 585, 524, 643, 1006, 11735, 609, 513, 530, 2416, 532, 16253, 267, 1287, 23131, 547, 6146, 670, 10725, 543, 8749, 1010, 1351, 335, 572, 1472, 519, 6821, 540, 31684, 607, 513, 512, 15577, 269, 634, 7553, 6659, 538, 721, 676, 713, 30468, 568, 10630, 538, 519, 6547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2328, 707, 1557, 538, 16720, 3898, 713, 2376, 666, 581, 5363, 607, 1134, 4179, 2517, 22967, 269, 29480, 1557, 3898, 281, 4367, 10068, 513, 6390, 13622, 1930, 518, 513, 10839, 536, 2243, 524, 1249, 610, 18802, 1018, 616, 649, 269, 2201, 713, 2985, 596, 786, 1265, 1863, 1806, 540, 15986, 3382, 2985, 267, 16643, 3382, 2985, 596, 786, 1451, 875, 547, 1118, 1557, 2140, 2985, 543, 875, 547, 1118, 1697, 1557, 3382, 2985, 3898, 563, 763, 3898, 540, 519, 10388, 1557, 707, 10388, 1557, 786, 711, 581, 513, 1967, 8259, 519, 5467, 12517, 9356, 2390, 32029, 6881, 2376, 563, 268, 634, 12809, 5639, 568, 1898, 547, 519, 1382, 1957, 3898, 585, 2362, 1377, 5359, 543, 4744, 31277, 596, 786, 723, 547, 2285, 513, 6881, 563, 268, 30365, 1369, 519, 7291, 1590, 849, 8415, 16643, 538, 17856, 14327, 8918, 7291, 476, 1015, 3442, 5551, 2852, 476, 1556, 3643, 543, 6218, 2852, 3786, 4926, 563, 268, 6258, 875, 547, 1376, 543, 1439, 606, 7005, 6881, 6881, 7215, 543, 875, 547, 10891, 6881, 563, 268, 634, 1053, 786, 723, 835, 3018, 689, 519, 23318, 540, 519, 1788, 547, 2347, 519, 2458, 720, 543, 5965, 513, 6881, 3898, 540, 875, 547, 2328, 513, 11556, 1557, 563, 268, 18391, 585, 4633, 1603, 4388, 519, 3056, 4633, 543, 6881, 1603, 3028, 875, 547, 2328, 513, 4633, 693, 1205, 268, 22967, 1260, 563, 14187, 1603, 543, 2497, 666, 1118, 606, 5140, 543, 2500, 6881, 4388, 585, 17265, 543, 11049, 707, 6881, 6300, 1603, 707, 6881, 269, 1215, 547, 2328, 513, 5098, 11556, 693, 1205, 268, 22967, 1260, 513, 5098, 11556, 568, 513, 13801, 3561, 602, 14592, 1018, 2186, 540, 5098, 596, 616, 2469, 547, 2328, 267, 1018, 2186, 540, 269, 19809, 543, 11249, 950, 8600, 707, 1867, 610, 1557, 585, 19169, 3277, 547, 707, 1770, 3391, 585, 5528, 593, 875, 547, 1459, 543, 3898, 707, 3561, 269, 0, 7049, 8412, 281, 538, 519, 4098, 689, 5137, 547, 705, 12646, 968, 514, 519, 4098, 5601, 2813, 519, 30723, 543, 519, 3618, 892, 630, 2102, 8412, 476, 272, 281, 272, 264, 891, 4583, 6679, 1913, 540, 519, 23573, 2769, 519, 646, 11119, 543, 2663, 519, 22344, 3661, 827, 519, 5748, 540, 519, 7122, 1281, 519, 7122, 723, 2495, 6090, 529, 6645, 721, 602, 621, 1281, 519, 7122, 729, 269, 634, 2984, 538, 519, 1433, 540, 6090, 529, 2443, 5137, 267, 8103, 779, 2887, 267, 519, 6360, 267, 705, 12646, 543, 568, 320, 659, 267, 795, 24944, 538, 26131, 267, 543, 811, 2443, 723, 27278, 543, 6273, 9925, 338, 267, 13171, 2103, 267, 543, 1660, 32093, 7567, 585, 27453, 269, 769, 519, 1433, 540, 6090, 529, 267, 593, 799, 1554, 540, 519, 5137, 1184, 1281, 5601, 1711, 3425, 269, 9540, 1895, 3391, 1107, 3018, 476, 272, 5601, 945, 5932, 519, 5939, 693, 2156, 758, 15113, 267, 23891, 4231, 476, 275, 268, 1015, 267, 476, 1001, 271, 6090, 529, 476, 272, 268, 274, 968, 326, 617, 945, 5932, 2223, 23891, 4231, 476, 275, 268, 1015, 267, 476, 1001, 271, 1923, 2985, 476, 273, 269, 634, 2262, 6090, 529, 1797, 5169, 610, 5137, 6090, 529, 267, 519, 1101, 1433, 540, 519, 2025, 15266, 267, 568, 513, 1433, 540, 20297, 621, 814, 1044, 1767, 602, 1169, 2101, 14985, 814, 922, 6079, 610, 4098, 538, 6090, 529, 585, 1383, 267, 519, 1570, 7122, 267, 519, 1480, 5198, 267, 5609, 267, 519, 9153, 540, 519, 3190, 11672, 267, 4654, 543, 519, 646, 11119, 4182, 782, 723, 741, 20297, 538, 519, 1433, 540, 6090, 529, 585, 713, 2601, 6090, 529, 269, 5999, 827, 519, 1650, 540, 5137, 585, 946, 538, 3450, 23573, 2984, 543, 18408, 547, 1453, 538, 22344, 9251, 543, 1453, 781, 18591, 31914, 599, 1153, 269, 19606, 568, 519, 1433, 540, 20297, 540, 942, 267, 1272, 267, 5609, 267, 20778, 267, 519, 1480, 5198, 267, 543, 519, 646, 11119, 4182, 519, 5137, 267, 2887, 267, 6360, 267, 543, 519, 6082, 563, 18661, 5932, 519, 1158, 538, 3670, 2395, 543, 13394, 6233, 519, 18749, 607, 513, 1554, 540, 1964, 326, 617, 5932, 519, 1101, 3425, 740, 600, 543, 552, 557, 543, 782, 519, 2831, 538, 519, 4677, 540, 1196, 523, 855, 4051, 338, 873, 711, 547, 3548, 519, 4829, 540, 519, 3529, 540, 1702, 540, 1434, 543, 9409, 320, 6158, 1583, 25871, 17814, 607, 513, 632, 21082, 13442, 610, 8945, 3122, 267, 1303, 1182, 552, 557, 883, 4189, 621, 269, 589, 26567, 3232, 23573, 1353, 540, 519, 2025, 15266, 278, 6377, 6810, 609, 513, 5758, 10687, 29232, 267, 4901, 2055, 267, 543, 513, 4052, 3232, 3498, 3018, 476, 272, 31914, 599, 630, 2102, 8412, 476, 272, 281, 272, 268, 273, 264, 519, 5137, 540, 519, 1158, 476, 272, 281, 272, 538, 519, 269, 634, 23573, 779, 2272, 540, 519, 4098, 540, 1272, 538, 6090, 529, 11271, 476, 272, 543, 476, 273, 666, 581, 6956, 676, 4896, 6090, 529, 476, 272, 6257, 782, 519, 2168, 2621, 540, 5137, 6090, 529, 476, 273, 5654, 1394, 693, 519, 5137, 540, 3425, 811, 5702, 6090, 529, 476, 273, 949, 2408, 547, 581, 513, 2370, 1114, 689, 6090, 529, 476, 272, 267, 3056, 930, 1004, 547, 3494, 972, 568, 513, 12161, 563, 261, 512, 804, 1046, 267, 476, 4489, 271, 1070, 476, 1691, 543, 554, 15071, 267, 519, 1433, 540, 6090, 529, 267, 11271, 476, 272, 268, 1704, 267, 476, 10755, 6090, 529, 476, 272, 281, 272, 268, 274, 281, 5137, 610, 556, 268, 21551, 476, 29204, 5918, 1027, 2059, 269, 19606, 3217, 721, 1394, 547, 519, 1360, 4098, 621, 12857, 5601, 607, 17082, 543, 3947, 513, 19214, 883, 519, 5169, 543, 3483, 540, 1010, 5137, 31251, 3425, 563, 13480, 1504, 593, 6090, 529, 2985, 1948, 277, 476, 280, 1236, 574, 669, 777, 476, 272, 543, 1592, 1018, 5601, 1500, 593, 1142, 1554, 540, 5137, 27655, 713, 1592, 476, 272, 560, 1554, 2443, 476, 273, 526, 1554, 2443, 476, 274, 6113, 1554, 2443, 476, 275, 628, 1554, 269, 8525, 476, 272, 540, 476, 273, 910, 606, 4244, 1686, 538, 6090, 529, 910, 11540, 538, 5137, 6386, 281, 713, 568, 513, 1434, 1448, 952, 649, 1413, 693, 519, 1433, 540, 13414, 267, 513, 28897, 540, 519, 2104, 267, 972, 568, 2370, 972, 602, 649, 1131, 546, 732, 547, 4612, 12777, 543, 18971, 945, 2451, 6085, 2456, 593, 519, 1433, 540, 11240, 725, 8179, 6456, 270, 22131, 26382, 2495, 538, 519, 2592, 4843, 538, 519, 1433, 269, 18179, 344, 543, 6090, 529, 281, 1018, 519, 18971, 2731, 6026, 513, 2689, 540, 6090, 529, 267, 5137, 543, 2038, 812, 676, 9992, 1583, 7469, 574, 9782, 23920, 1200, 2006, 540, 620, 10939, 7015, 3125, 267, 3531, 2088, 267, 1309, 267, 476, 1220, 271, 12649, 676, 1768, 787, 6180, 21672, 713, 476, 3583, 280, 22240, 1433, 568, 513, 10950, 1840, 547, 519, 5137, 626, 3332, 538, 602, 621, 568, 2417, 2178, 2963, 602, 554, 7676, 887, 1087, 267, 575, 548, 1783, 563, 7049, 8412, 281, 5758, 540, 5137, 2433, 8164, 4974, 519, 23573, 267, 1491, 883, 2272, 1614, 1919, 950, 5275, 547, 1174, 513, 8574, 281, 476, 272, 264, 1141, 543, 875, 1281, 519, 1433, 519, 8574, 568, 1336, 538, 3514, 883, 519, 2949, 10325, 540, 519, 23573, 568, 621, 538, 519, 2025, 610, 1007, 15266, 729, 621, 2854, 538, 519, 2085, 540, 519, 24663, 338, 610, 519, 2085, 540, 519, 28556, 267, 610, 269, 19606, 7291, 875, 519, 17082, 12211, 547, 812, 1259, 928, 838, 27247, 1775, 519, 1101, 27790, 4783, 910, 519, 2887, 540, 812, 543, 922, 4539, 513, 2518, 1445, 281, 519, 5169, 540, 812, 543, 1010, 2887, 689, 19870, 563, 763, 1433, 540, 6090, 529, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 267, 476, 1428, 267, 476, 1626, 267, 476, 1704, 267, 476, 1240, 267, 476, 866, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 1839, 267, 476, 2918, 267, 476, 2767, 267, 476, 2764, 267, 476, 3066, 267, 476, 1789, 267, 476, 4029, 267, 476, 3953, 267, 476, 3451, 267, 476, 4097, 267, 476, 3374, 267, 476, 3607, 267, 476, 4391, 267, 476, 4343, 267, 476, 4375, 269, 898, 568, 1455, 585, 12666, 13915, 540, 519, 23573, 547, 7682, 602, 519, 1433, 540, 6090, 529, 3568, 1079, 6589, 540, 519, 5137, 540, 519, 3618, 543, 18495, 16957, 569, 267, 891, 1079, 6589, 2992, 1114, 4589, 267, 1114, 942, 5712, 267, 3092, 621, 2417, 568, 9901, 602, 519, 6386, 17591, 1142, 824, 538, 269, 634, 1433, 540, 6090, 529, 2606, 1570, 4367, 543, 4282, 513, 2140, 6090, 529, 1797, 968, 514, 519, 4098, 892, 630, 2041, 3306, 603, 1107, 646, 321, 264, 621, 568, 3976, 519, 1433, 540, 8129, 281, 5137, 267, 812, 267, 7365, 267, 5609, 267, 2893, 534, 267, 10385, 267, 25863, 267, 568, 5361, 267, 6082, 267, 4654, 267, 2229, 267, 2486, 267, 3092, 5601, 267, 2705, 267, 1281, 711, 723, 606, 5169, 646, 568, 3274, 5189, 269, 9861, 6956, 998, 1018, 814, 1044, 1500, 713, 3069, 568, 1759, 593, 519, 2034, 14235, 540, 6090, 529, 476, 272, 27655, 713, 513, 4901, 540, 519, 5137, 540, 1272, 538, 519, 1433, 540, 6090, 529, 1592, 476, 272, 560, 1554, 476, 273, 526, 1554, 476, 274, 6113, 1554, 21517, 543, 3655, 336, 338, 689, 721, 523, 564, 3377, 16766, 13991, 547, 519, 4901, 543, 7521, 540, 5137, 610, 8034, 318, 1046, 269, 0, 2791, 14348, 660, 21763, 547, 2142, 606, 476, 1240, 628, 31588, 1722, 3703, 1230, 341, 1112, 256, 2433, 589, 25676, 547, 5245, 1411, 323, 13298, 3502, 6875, 454, 21579, 3241, 5651, 572, 729, 513, 18048, 543, 23266, 1034, 4122, 1634, 585, 519, 8798, 540, 519, 2582, 5911, 751, 25393, 543, 5651, 572, 3009, 538, 519, 476, 8146, 271, 338, 269, 2026, 513, 1267, 267, 519, 2229, 5293, 634, 31543, 2920, 540, 476, 8146, 274, 547, 10038, 7050, 1126, 4074, 269, 5970, 596, 2479, 4941, 547, 1491, 606, 11599, 8092, 681, 1478, 4347, 2658, 998, 563, 23873, 4414, 323, 6002, 267, 875, 568, 519, 1977, 21829, 2782, 454, 28158, 1148, 543, 6189, 540, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 563, 5278, 2986, 634, 7454, 3883, 667, 539, 10716, 1411, 14348, 17451, 3367, 14367, 13602, 941, 5402, 9112, 267, 543, 28726, 1419, 530, 913, 538, 2609, 689, 22521, 2621, 610, 4057, 1514, 2175, 610, 635, 1227, 1065, 14601, 3197, 883, 1010, 6386, 7868, 4720, 540, 12948, 814, 3177, 513, 2922, 12948, 1062, 602, 1202, 999, 519, 3106, 540, 938, 7221, 1303, 27434, 547, 519, 8492, 7868, 8360, 11710, 689, 513, 5870, 538, 827, 476, 12739, 272, 1063, 519, 3532, 3943, 8804, 14012, 2051, 6975, 543, 513, 1895, 540, 3943, 1870, 5443, 3366, 676, 513, 1978, 631, 269, 2274, 717, 754, 516, 20193, 729, 513, 1360, 1507, 1900, 281, 1256, 1310, 519, 6963, 267, 8370, 4458, 6040, 1453, 267, 585, 1383, 267, 1223, 1869, 960, 8370, 3108, 513, 1554, 267, 3670, 2395, 513, 3018, 2529, 974, 600, 1379, 267, 543, 519, 9252, 13324, 12227, 729, 1360, 6225, 585, 2504, 4390, 269, 7661, 519, 7269, 540, 519, 1702, 4346, 814, 13714, 730, 519, 2165, 844, 2435, 5823, 547, 3277, 547, 2362, 1931, 267, 1950, 267, 543, 11285, 4247, 540, 1852, 267, 2504, 543, 2359, 269, 2026, 513, 2197, 4422, 998, 22713, 610, 2804, 1646, 621, 568, 2009, 547, 1294, 513, 6825, 6521, 538, 519, 6871, 540, 519, 4074, 3196, 3238, 538, 519, 1142, 540, 519, 2947, 9922, 563, 3891, 22309, 519, 18648, 16572, 25467, 630, 29671, 1851, 1271, 4207, 24192, 264, 6462, 519, 12397, 16572, 267, 799, 5189, 513, 1062, 540, 9204, 593, 3703, 20558, 540, 10568, 11053, 4381, 693, 2789, 9945, 543, 729, 1434, 2828, 609, 6424, 670, 2541, 269, 11328, 4219, 762, 2694, 267, 1216, 12741, 267, 543, 519, 9252, 2599, 3964, 2527, 2504, 609, 513, 1804, 10198, 540, 5667, 330, 2683, 4600, 5861, 11384, 4162, 540, 16851, 1331, 3854, 13250, 267, 8013, 6990, 543, 13230, 4074, 269, 13731, 5733, 1433, 3903, 269, 19171, 269, 4787, 760, 547, 269, 596, 2901, 1616, 547, 4235, 2620, 540, 519, 2883, 646, 6447, 1442, 610, 11453, 269, 5654, 693, 519, 2296, 689, 519, 476, 1626, 628, 547, 476, 1240, 628, 2540, 11783, 763, 28051, 540, 1804, 267, 27352, 11262, 3180, 902, 9415, 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 ]

[ 9492, 23201, 0, 258, 20211, 20099, 281, 9502, 1299, 17817, 692, 9743, 1192, 528, 281, 31130, 25480, 454, 6635, 322, 3259, 568, 606, 1271, 2460, 547, 1620, 13980, 540, 17208, 13080, 269, 1306, 596, 786, 1451, 538, 713, 3992, 267, 9256, 938, 1702, 540, 18592, 543, 3844, 5086, 3800, 2636, 721, 547, 1265, 9095, 3259, 780, 1012, 9502, 540, 20211, 20099, 692, 2026, 606, 20987, 12599, 1472, 519, 1158, 267, 621, 5205, 513, 1978, 8184, 2619, 269, 901, 2619, 814, 547, 1246, 519, 26048, 540, 938, 3618, 267, 799, 2306, 519, 7077, 1246, 513, 1978, 9095, 269, 901, 9095, 3259, 568, 513, 6712, 540, 519, 3003, 18592, 540, 519, 3618, 780, 6635, 322, 3259, 568, 12777, 519, 3259, 540, 519, 9095, 540, 513, 6712, 540, 513, 5858, 269, 901, 9095, 568, 513, 851, 540, 519, 2698, 18592, 540, 513, 5858, 269, 901, 3259, 568, 6027, 607, 513, 5276, 3845, 269, 4595, 621, 568, 513, 6712, 540, 519, 3003, 18592, 267, 649, 991, 547, 1101, 2697, 519, 4542, 1031, 547, 1265, 519, 18592, 540, 513, 5858, 607, 1134, 607, 946, 519, 3844, 5086, 780, 1012, 8562, 636, 12401, 543, 6239, 24234, 692, 290, 1844, 636, 12401, 568, 513, 2165, 1031, 547, 4766, 519, 3259, 1472, 513, 5858, 269, 8562, 636, 12401, 568, 1336, 1210, 713, 4542, 1384, 290, 568, 585, 8562, 636, 12401, 267, 546, 568, 519, 8006, 543, 14039, 267, 666, 581, 17031, 547, 476, 274, 269, 1691, 780, 763, 3844, 5086, 2268, 786, 581, 2016, 547, 596, 543, 2094, 621, 568, 513, 851, 540, 519, 2898, 5858, 267, 621, 786, 581, 2854, 607, 513, 6824, 269, 1280, 3236, 267, 952, 596, 723, 513, 3844, 5086, 2268, 540, 476, 3393, 5232, 267, 519, 6824, 1131, 581, 476, 3393, 270, 11740, 780, 1012, 15531, 519, 20211, 20099, 692, 2304, 9095, 3259, 568, 6027, 676, 2921, 513, 851, 540, 519, 2898, 5858, 269, 1280, 3236, 267, 952, 596, 1185, 513, 3844, 5086, 2268, 540, 476, 3393, 5232, 267, 519, 9095, 2813, 676, 713, 5086, 1131, 581, 476, 3393, 856, 540, 476, 11740, 5232, 610, 476, 3393, 270, 11740, 5232, 269, 634, 9095, 3259, 1131, 581, 1336, 676, 12719, 519, 6712, 540, 519, 5858, 267, 602, 568, 476, 3393, 540, 476, 11740, 5232, 540, 519, 5858, 780, 6635, 322, 3259, 568, 9256, 519, 4542, 585, 18592, 540, 513, 5858, 609, 519, 3844, 5086, 2268, 540, 519, 5858, 269, 634, 4542, 585, 4466, 9095, 3259, 568, 1384, 2414, 12260, 713, 3992, 596, 1590, 581, 513, 5530, 2593, 16588, 780, 2162, 19193, 547, 2070, 713, 3992, 692, 6701, 596, 513, 2875, 610, 513, 4116, 2496, 2971, 6423, 585, 3054, 1946, 476, 1789, 2929, 1004, 946, 5530, 2593, 692, 7462, 28161, 513, 5530, 2593, 4759, 543, 1376, 1565, 1631, 563, 12988, 454, 1432, 3610, 616, 6031, 827, 5530, 2593, 692, 2162, 2423, 940, 5441, 15894, 692, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 269, 0, 258, 20554, 4569, 2433, 1215, 547, 1265, 519, 4320, 540, 513, 13409, 692, 1012, 7151, 5999, 692, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 2791, 723, 606, 8900, 12718, 609, 513, 3490, 8006, 540, 476, 277, 543, 513, 4463, 540, 476, 1015, 543, 596, 723, 513, 13409, 2407, 540, 1216, 609, 513, 3490, 8953, 540, 476, 274, 543, 513, 4463, 540, 476, 1015, 269, 1109, 1403, 596, 8900, 519, 13409, 540, 1216, 883, 519, 12718, 267, 875, 1454, 4320, 568, 2451, 8900, 538, 519, 12718, 2496, 15008, 1384, 290, 2643, 5407, 11730, 25883, 290, 821, 11730, 25883, 290, 2643, 5407, 18924, 2678, 815, 476, 277, 267, 4061, 595, 2643, 5407, 7101, 3780, 815, 476, 274, 692, 10387, 27679, 11730, 815, 595, 2643, 5407, 11730, 1107, 595, 821, 11730, 692, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 2791, 723, 1079, 25862, 267, 835, 609, 513, 8006, 540, 476, 30548, 513, 4463, 540, 476, 30548, 1776, 609, 513, 8006, 540, 476, 30548, 513, 4463, 540, 1547, 1403, 596, 6445, 1109, 1492, 4130, 13409, 609, 5070, 543, 29746, 602, 5070, 1109, 20041, 519, 3677, 13409, 267, 875, 1454, 8900, 2230, 786, 581, 2451, 538, 519, 3677, 13409, 2496, 15008, 1384, 272, 269, 4855, 519, 4320, 540, 1142, 13409, 1384, 290, 821, 476, 272, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 290, 821, 476, 273, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 273, 269, 16265, 847, 519, 4130, 4320, 689, 519, 3677, 4320, 1384, 2162, 7151, 7726, 1948, 1556, 2433, 1230, 525, 692, 2791, 723, 606, 8900, 13409, 543, 513, 12718, 4904, 609, 1216, 269, 634, 13409, 814, 513, 8006, 540, 476, 30548, 513, 4463, 540, 1547, 634, 12718, 814, 513, 8006, 540, 476, 30548, 513, 4463, 540, 1547, 1403, 596, 29746, 519, 1216, 689, 519, 12718, 883, 519, 13409, 2394, 621, 568, 4904, 267, 1018, 4320, 540, 1216, 786, 2611, 538, 519, 12718, 2496, 15008, 1384, 272, 269, 4855, 519, 12531, 540, 519, 13409, 543, 12718, 1384, 290, 821, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 290, 2643, 5407, 1384, 7712, 519, 8006, 568, 2073, 519, 8953, 568, 16317, 273, 269, 16265, 847, 519, 13409, 781, 4320, 689, 519, 12718, 781, 4320, 1384, 2162, 7151, 7726, 1948, 11793, 272, 2433, 2920, 4569, 692, 1432, 568, 519, 4320, 540, 513, 13409, 609, 513, 4463, 540, 476, 278, 4699, 543, 513, 8953, 540, 476, 275, 4699, 286, 23680, 707, 2626, 538, 2474, 540, 476, 30548, 607, 513, 6824, 952, 991, 581, 780, 15008, 1384, 2414, 1265, 519, 4320, 540, 513, 13409, 11690, 519, 8953, 543, 4463, 883, 519, 4542, 585, 519, 4320, 540, 513, 13409, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 7617, 540, 519, 1739, 786, 22712, 745, 921, 519, 4320, 540, 513, 13409, 2496, 273, 269, 8935, 17331, 519, 4463, 692, 272, 267, 476, 273, 543, 476, 274, 692, 273, 1152, 692, 272, 543, 476, 274, 692, 272, 1152, 692, 274, 1152, 692, 272, 543, 476, 274, 692, 15008, 1384, 289, 8960, 538, 2247, 519, 4320, 4542, 585, 513, 13409, 1384, 10303, 519, 4320, 9775, 676, 519, 4009, 540, 519, 8953, 267, 30945, 519, 8953, 786, 22712, 745, 921, 519, 4320, 630, 26238, 1547, 264, 5221, 519, 4320, 849, 9775, 31085, 676, 519, 4463, 267, 22712, 745, 7204, 519, 4463, 786, 22712, 745, 921, 519, 4320, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 1432, 568, 519, 4320, 540, 513, 13409, 609, 513, 8953, 540, 476, 30548, 513, 4463, 540, 7790, 23680, 707, 2626, 538, 2474, 540, 1109, 267, 2569, 782, 8454, 780, 15008, 1384, 2414, 1265, 519, 4320, 540, 513, 13409, 609, 8953, 1109, 267, 543, 4463, 1109, 1109, 2224, 519, 4542, 1384, 780, 2171, 11690, 538, 938, 2016, 8953, 543, 4463, 547, 1265, 1384, 2162, 7151, 7726, 1948, 1556, 2433, 1230, 525, 692, 288, 598, 673, 1957, 7484, 568, 1373, 1031, 607, 513, 2306, 31183, 1187, 6773, 585, 5179, 3282, 269, 1403, 519, 7484, 568, 476, 1911, 1109, 17524, 12281, 2620, 693, 519, 4099, 543, 814, 513, 8953, 540, 476, 3583, 1109, 17524, 12281, 267, 875, 1082, 12945, 28935, 540, 5179, 3282, 666, 621, 3180, 693, 835, 942, 286, 18471, 707, 3803, 2626, 547, 519, 14282, 8870, 780, 15008, 1384, 763, 4542, 585, 519, 4320, 540, 513, 13409, 568, 1384, 4415, 519, 1344, 649, 723, 267, 649, 666, 3274, 11690, 2418, 883, 713, 3830, 543, 4194, 780, 3383, 938, 13409, 666, 3180, 5111, 1109, 1109, 31957, 545, 28935, 540, 5179, 3282, 780, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 8340, 519, 4320, 540, 513, 13409, 4171, 8006, 568, 476, 30548, 4463, 568, 16317, 15008, 1384, 2414, 1265, 519, 4320, 540, 513, 13409, 267, 3274, 946, 519, 1739, 4542, 269, 4935, 10484, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 8340, 519, 4320, 540, 513, 13409, 609, 8953, 476, 30548, 4463, 540, 16317, 15008, 1384, 2414, 4194, 3274, 946, 519, 4542, 585, 519, 2019, 6373, 540, 513, 13409, 269, 4935, 10484, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 634, 11730, 2986, 589, 595, 821, 692, 1432, 568, 519, 4320, 540, 513, 13409, 609, 513, 8953, 540, 476, 274, 6515, 543, 513, 4463, 540, 476, 277, 6515, 286, 0, 258, 1215, 1454, 568, 476, 4649, 2600, 540, 8370, 4627, 692, 8794, 713, 1907, 596, 666, 1265, 1022, 6871, 538, 1614, 2081, 269, 1924, 267, 649, 1589, 596, 6603, 721, 3168, 585, 4267, 899, 281, 1548, 568, 476, 4649, 630, 4649, 8472, 2600, 630, 8472, 540, 8370, 4627, 630, 12010, 21663, 2107, 949, 581, 281, 1215, 1454, 568, 476, 4649, 2600, 540, 8370, 4627, 269, 6423, 519, 3435, 547, 891, 2042, 1175, 1310, 519, 6871, 9498, 2630, 780, 8450, 519, 3435, 547, 891, 2042, 1175, 1310, 519, 6871, 9498, 2630, 780, 1432, 568, 4939, 540, 26042, 12585, 281, 476, 12010, 692, 2162, 20587, 720, 18185, 476, 273, 692, 529, 1018, 2600, 540, 26042, 12585, 281, 4939, 692, 2162, 20587, 720, 18185, 476, 274, 692, 529, 4939, 540, 1018, 2496, 12585, 1384, 2252, 596, 616, 3168, 585, 513, 5494, 870, 18185, 267, 5225, 4945, 1934, 780, 1012, 1215, 547, 960, 856, 21159, 910, 5153, 676, 5153, 692, 2080, 616, 519, 3435, 547, 519, 2055, 7150, 1657, 1384, 2162, 476, 272, 264, 1548, 568, 476, 4649, 260, 540, 476, 12010, 2496, 29490, 946, 713, 4542, 547, 1265, 513, 6871, 1384, 260, 1315, 476, 1911, 815, 3487, 1315, 19940, 5372, 519, 2016, 2418, 1384, 4649, 1315, 476, 1911, 815, 3487, 1315, 476, 12010, 692, 15899, 9062, 1384, 4649, 1535, 476, 12010, 815, 476, 1911, 1535, 3487, 267, 610, 692, 275, 4817, 876, 815, 476, 1911, 1535, 3487, 692, 3086, 267, 7941, 676, 476, 1911, 543, 1205, 519, 2626, 1384, 8512, 815, 476, 275, 4817, 876, 1315, 476, 1911, 815, 476, 275, 4817, 692, 2162, 476, 273, 264, 476, 4649, 568, 1018, 2600, 540, 476, 12010, 2496, 8196, 1586, 519, 1482, 6871, 4542, 1384, 260, 1315, 476, 1911, 815, 3487, 1315, 19940, 5372, 519, 2016, 2418, 1384, 260, 1315, 476, 1911, 815, 476, 4649, 1315, 476, 12010, 692, 15899, 9062, 1384, 260, 1535, 476, 12010, 815, 476, 4649, 1535, 476, 1911, 692, 19667, 728, 676, 476, 12010, 543, 1205, 519, 6871, 1384, 260, 815, 476, 4649, 1535, 476, 1911, 1315, 476, 12010, 815, 476, 277, 269, 9340, 9340, 9340, 9340, 272, 260, 0, 271, 692, 258, 1215, 1082, 844, 11301, 616, 538, 476, 273, 269, 276, 6550, 2496, 24993, 281, 476, 1015, 270, 277, 270, 1708, 274, 692, 310, 5942, 14871, 692, 1015, 344, 3516, 692, 14085, 267, 2094, 972, 666, 581, 1100, 7503, 269, 589, 11013, 568, 513, 2268, 540, 2527, 269, 589, 14415, 568, 513, 2268, 540, 4320, 269, 634, 1079, 2268, 1114, 1919, 543, 267, 2687, 547, 2596, 3741, 540, 21021, 2079, 267, 7503, 689, 835, 547, 519, 824, 568, 711, 4570, 269, 6333, 513, 14415, 781, 4502, 540, 2011, 269, 1215, 1082, 6550, 286, 8921, 2015, 519, 1482, 4320, 540, 1291, 269, 1215, 1082, 6550, 286, 634, 13999, 540, 3160, 12531, 540, 519, 1079, 6878, 786, 5693, 581, 1360, 1114, 269, 1924, 972, 568, 1100, 1463, 7503, 1063, 2527, 543, 4320, 281, 596, 991, 547, 917, 519, 5860, 540, 519, 6219, 547, 5512, 596, 547, 4163, 856, 519, 7503, 780, 310, 5942, 14871, 692, 279, 344, 3516, 692, 310, 5942, 14871, 692, 1015, 344, 3516, 692, 2467, 616, 476, 272, 269, 276, 844, 11301, 538, 476, 273, 269, 276, 6550, 269, 476, 272, 14415, 568, 3160, 547, 476, 275, 11680, 543, 476, 272, 7484, 568, 3160, 547, 476, 279, 13728, 780, 310, 5942, 14871, 692, 1428, 344, 3516, 692, 6546, 786, 4096, 2390, 1018, 519, 1587, 568, 269, 1879, 596, 616, 6158, 827, 1216, 267, 476, 276, 269, 276, 844, 11301, 786, 9260, 827, 476, 1556, 6550, 780, 310, 5942, 14871, 692, 279, 344, 3516, 692, 2467, 568, 1100, 1463, 6476, 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 ]

[ 2740, 267, 8254, 2029, 23384, 513, 20381, 6521, 269, 901, 3296, 786, 5490, 883, 519, 1883, 2934, 543, 16551, 602, 21656, 3059, 12514, 267, 4259, 873, 6306, 689, 741, 12746, 13413, 563, 3080, 540, 519, 1034, 2565, 3344, 540, 3059, 12514, 568, 519, 1297, 540, 19251, 777, 1460, 1564, 789, 4865, 269, 23729, 777, 1460, 1564, 267, 2110, 585, 968, 332, 11669, 19641, 2223, 2099, 519, 6571, 540, 519, 8254, 779, 9300, 269, 634, 2362, 519, 19251, 777, 31242, 1293, 267, 519, 811, 1469, 513, 8254, 666, 7001, 543, 519, 3677, 621, 666, 1820, 2592, 1510, 9561, 2298, 563, 5194, 2629, 3815, 568, 519, 2450, 540, 519, 8254, 779, 9300, 269, 32190, 2450, 4249, 513, 1713, 1909, 538, 8159, 519, 3239, 2298, 267, 6422, 2039, 267, 543, 1970, 2000, 697, 2773, 540, 513, 3059, 8254, 269, 700, 24147, 8596, 267, 971, 607, 1346, 1336, 538, 2407, 1922, 9347, 667, 20784, 20745, 543, 11604, 1652, 12514, 267, 3335, 3132, 1732, 3239, 2298, 543, 2539, 6846, 2157, 982, 4130, 8596, 563, 3041, 302, 8417, 267, 849, 1634, 607, 4670, 3432, 267, 3800, 513, 8254, 779, 8417, 547, 1769, 269, 7913, 12514, 2709, 28253, 18869, 5468, 267, 3850, 3755, 547, 1852, 519, 8254, 779, 8417, 547, 1769, 538, 1585, 15246, 2175, 269, 14451, 18869, 5468, 5512, 15246, 538, 1970, 2000, 697, 5054, 267, 855, 789, 949, 6338, 811, 6846, 610, 10286, 538, 519, 3239, 563, 8505, 1993, 1371, 1949, 723, 7960, 13497, 538, 3059, 12514, 267, 609, 1082, 4359, 3631, 10023, 2789, 1445, 2798, 543, 10427, 6620, 269, 1452, 1949, 5512, 5488, 543, 811, 4977, 2519, 267, 1256, 593, 3001, 5396, 267, 5355, 519, 2949, 8325, 1145, 543, 6111, 540, 519, 9676, 2592, 563, 4537, 13616, 17726, 543, 589, 13630, 675, 454, 19445, 12514, 1450, 585, 3152, 1852, 936, 9505, 614, 3432, 543, 27934, 5468, 267, 3850, 21706, 547, 7001, 2592, 609, 3152, 3860, 1852, 269, 1744, 13616, 3432, 8060, 519, 8653, 540, 519, 4598, 267, 7175, 16171, 3728, 2173, 8221, 5396, 610, 2870, 5163, 20747, 2360, 269, 589, 13630, 675, 8060, 519, 2179, 540, 1769, 10024, 519, 8254, 267, 12018, 3178, 540, 2361, 543, 4282, 20747, 563, 6624, 3059, 12514, 267, 3226, 1346, 609, 1279, 7658, 874, 9369, 14485, 610, 538, 1970, 2000, 697, 2175, 267, 4324, 689, 3239, 32278, 2029, 269, 12005, 32278, 6127, 948, 25559, 8254, 21199, 267, 7175, 5857, 704, 1688, 18988, 2592, 543, 14887, 9505, 614, 11250, 1510, 27531, 3239, 2298, 563, 1805, 4392, 543, 11711, 4813, 1846, 454, 19445, 12514, 2709, 1585, 4859, 3681, 267, 1519, 12676, 6486, 267, 18435, 6486, 267, 543, 4835, 3965, 269, 20305, 666, 3442, 519, 4859, 4390, 1759, 593, 741, 2115, 543, 6578, 269, 3958, 267, 3059, 12514, 1489, 513, 2039, 540, 3758, 12043, 267, 971, 607, 31179, 9680, 267, 17241, 310, 267, 543, 570, 9281, 293, 267, 1142, 609, 922, 1378, 5383, 543, 3156, 563, 289, 19495, 5020, 543, 5295, 18169, 454, 289, 19495, 1272, 568, 606, 1898, 7156, 585, 3059, 8254, 3755, 267, 607, 1082, 12514, 7048, 593, 9075, 585, 1379, 269, 2368, 12514, 2709, 6905, 6007, 1272, 610, 18593, 1379, 24502, 547, 13918, 6905, 15246, 7886, 269, 3958, 267, 1082, 3059, 12514, 1489, 5007, 1379, 2959, 267, 971, 607, 18292, 9075, 610, 8028, 740, 9532, 267, 585, 3773, 13418, 563, 4322, 1883, 2934, 543, 16551, 540, 3059, 12514, 1305, 873, 6306, 689, 741, 12746, 13413, 543, 1683, 21706, 609, 3152, 1852, 543, 8112, 538, 13830, 1164, 7779, 2592, 563, 15862, 8596, 616, 513, 2565, 5057, 540, 3059, 12514, 267, 3743, 585, 13830, 543, 14291, 1769, 883, 3059, 6786, 269, 1452, 8596, 616, 7768, 540, 6634, 540, 19641, 267, 1142, 540, 799, 5638, 513, 1507, 6712, 540, 519, 2949, 3239, 563, 1692, 12005, 11576, 832, 4518, 454, 15862, 8596, 960, 676, 1210, 513, 1184, 1572, 2584, 617, 1675, 324, 5044, 269, 7353, 617, 1675, 525, 616, 19202, 2326, 602, 616, 6213, 547, 1769, 269, 1879, 1769, 16125, 519, 2584, 617, 1675, 525, 267, 621, 3123, 9211, 547, 581, 5950, 267, 2870, 606, 5122, 5365, 602, 666, 581, 6027, 543, 10736, 883, 3059, 1239, 563, 15650, 540, 12005, 11576, 832, 454, 2467, 616, 1079, 1292, 2010, 540, 3239, 8596, 281, 595, 7374, 630, 2419, 1618, 4211, 537, 9482, 27620, 264, 543, 18328, 5308, 630, 4467, 921, 29232, 19045, 14114, 343, 728, 4149, 2438, 13503, 528, 1040, 595, 7374, 8596, 941, 519, 1101, 1826, 540, 3239, 9300, 1031, 538, 3059, 12514, 543, 616, 1869, 1031, 2221, 538, 930, 3318, 17263, 12514, 269, 18328, 5308, 8596, 616, 811, 4122, 1031, 538, 7082, 17263, 12514, 1813, 547, 741, 2539, 1942, 543, 2362, 1648, 4398, 563, 26794, 543, 32539, 540, 12005, 11576, 832, 454, 3080, 540, 519, 1292, 5383, 540, 3239, 8596, 568, 741, 2702, 547, 7001, 513, 2647, 2039, 540, 1769, 2157, 267, 1818, 873, 4998, 585, 1970, 2000, 697, 10344, 269, 3958, 267, 3239, 8596, 616, 2111, 547, 7001, 2592, 3533, 267, 1818, 873, 1134, 25252, 1243, 585, 2962, 10344, 269, 1717, 267, 3239, 8596, 666, 581, 811, 7199, 982, 824, 3334, 540, 3059, 12514, 267, 543, 949, 581, 811, 11630, 547, 6846, 538, 1970, 2000, 697, 2175, 563, 1103, 3932, 267, 3239, 8596, 1404, 513, 2629, 1909, 538, 3059, 12514, 267, 3850, 585, 519, 7001, 543, 7503, 540, 1769, 883, 3059, 1239, 269, 2755, 972, 616, 5383, 543, 11393, 547, 1210, 3239, 8596, 267, 789, 2611, 513, 2565, 5057, 538, 519, 1646, 540, 3059, 10344, 2029, 563, 1103, 519, 1158, 540, 3059, 10344, 267, 519, 7828, 1062, 4249, 513, 2629, 1909, 538, 8159, 519, 2298, 540, 519, 3239, 3812, 269, 589, 7828, 1062, 568, 3743, 585, 2519, 1769, 5196, 519, 8254, 779, 9300, 267, 543, 519, 2298, 540, 519, 7828, 666, 723, 513, 1713, 1764, 593, 519, 8325, 1145, 267, 9355, 267, 543, 2949, 2298, 540, 519, 3239, 563, 2467, 616, 1896, 1883, 2188, 547, 2015, 950, 621, 2501, 547, 7828, 1949, 538, 3059, 12514, 269, 2290, 540, 519, 1034, 1271, 568, 519, 1297, 540, 2609, 1031, 538, 519, 7828, 269, 589, 7828, 609, 811, 2609, 568, 3622, 2111, 547, 2953, 585, 811, 2010, 540, 23673, 543, 3132, 513, 5857, 704, 3239, 269, 1717, 267, 513, 7828, 609, 1932, 1082, 2609, 666, 849, 6338, 3606, 9804, 2152, 267, 971, 607, 6985, 1738, 32623, 1674, 563, 5194, 1271, 3815, 568, 519, 1826, 540, 4837, 1031, 538, 519, 7828, 269, 4400, 7779, 4837, 568, 2111, 547, 2569, 6985, 1738, 32623, 1674, 543, 824, 2010, 540, 23673, 267, 4611, 538, 2592, 602, 616, 20501, 543, 811, 4977, 269, 2368, 14485, 849, 4183, 2027, 23541, 610, 12086, 602, 948, 547, 2569, 1350, 732, 543, 2087, 2949, 3239, 2298, 563, 1103, 1840, 547, 519, 1297, 540, 2609, 543, 1826, 540, 4837, 1031, 267, 519, 1374, 540, 519, 7828, 1062, 568, 849, 2565, 269, 7756, 7828, 6272, 616, 20979, 585, 1114, 2010, 540, 10344, 267, 971, 607, 2647, 268, 4120, 610, 7658, 874, 9369, 15833, 269, 634, 1374, 540, 519, 7828, 666, 849, 1860, 519, 2949, 2450, 543, 2597, 540, 519, 8254, 267, 607, 1134, 607, 519, 3902, 563, 14454, 267, 519, 7828, 1062, 568, 513, 2565, 5057, 540, 1022, 3059, 8254, 267, 543, 1620, 519, 1883, 2188, 602, 3565, 547, 922, 2773, 666, 948, 21706, 1118, 5483, 3664, 950, 7446, 513, 8254, 543, 7828, 4999, 269, 6787, 596, 2461, 513, 3318, 23031, 610, 3274, 513, 15908, 626, 267, 2921, 519, 942, 547, 1174, 519, 7828, 1062, 568, 1898, 585, 8236, 519, 1655, 2009, 2164, 538, 707, 10344, 563, 8505, 1993, 1371, 1949, 723, 19117, 519, 1259, 21706, 7001, 2592, 269, 13405, 547, 519, 4417, 540, 3059, 12514, 267, 8261, 1445, 729, 519, 2343, 267, 8506, 21706, 547, 16924, 4188, 519, 1445, 540, 741, 14485, 547, 3035, 8325, 1445, 269, 2060, 519, 1646, 540, 1313, 1993, 1371, 2029, 267, 12514, 616, 1631, 2111, 547, 8850, 4188, 519, 1445, 540, 519, 7828, 267, 1818, 621, 4443, 585, 21706, 547, 7001, 8325, 2592, 563, 2467, 616, 1896, 1114, 2010, 540, 1313, 1993, 1371, 1949, 1031, 538, 3059, 12514, 267, 1142, 609, 741, 1378, 5383, 543, 11393, 269, 634, 1034, 1455, 2010, 540, 1313, 1993, 1371, 1949, 1331, 912, 268, 18001, 1673, 564, 1254, 1313, 1993, 1371, 630, 303, 6395, 293, 2567, 901, 1826, 540, 1313, 1993, 1371, 1062, 3096, 513, 2027, 9300, 547, 3713, 519, 5123, 540, 519, 1769, 4947, 998, 519, 7828, 543, 4188, 519, 1445, 9935, 269, 623, 6395, 293, 1949, 616, 3622, 5488, 543, 811, 4977, 982, 824, 2010, 540, 1313, 1993, 1371, 1949, 563, 268, 25037, 1673, 564, 1254, 1313, 1993, 1371, 630, 290, 6395, 293, 2567, 901, 1826, 540, 1313, 1993, 1371, 1062, 19776, 519, 4334, 540, 519, 3239, 609, 519, 3239, 3144, 538, 519, 3105, 7406, 547, 3313, 519, 1655, 1445, 1448, 269, 595, 6395, 293, 1949, 616, 3622, 14887, 543, 1447, 4977, 982, 623, 6395, 293, 1949, 267, 855, 789, 616, 811, 1379, 18026, 543, 666, 960, 609, 513, 9962, 2039, 540, 14485, 563, 268, 28628, 1313, 1993, 1371, 281, 901, 1826, 540, 1313, 1993, 1371, 1062, 10905, 2609, 540, 1312, 623, 6395, 293, 543, 595, 6395, 293, 1949, 547, 1683, 3728, 543, 4977, 1313, 1993, 1371, 269, 28628, 1313, 1993, 1371, 1949, 616, 4122, 1031, 538, 11604, 1652, 12514, 563, 1103, 1840, 547, 891, 1114, 2010, 540, 1313, 1993, 1371, 1949, 267, 972, 616, 849, 1114, 1313, 1993, 1371, 12331, 602, 21706, 666, 946, 4470, 593, 741, 2115, 269, 1452, 1331, 912, 268, 17266, 6879, 582, 1313, 1993, 1371, 281, 901, 7154, 568, 1031, 950, 519, 1641, 568, 19335, 543, 519, 8254, 568, 11329, 693, 513, 2582, 1448, 563, 268, 23120, 1313, 1993, 1371, 281, 901, 7154, 568, 1031, 950, 519, 1641, 568, 3001, 543, 519, 8254, 2115, 547, 11179, 4188, 519, 1445, 547, 1832, 519, 1641, 538, 1445, 563, 268, 15015, 1445, 936, 20183, 281, 901, 7154, 2636, 519, 23031, 547, 16924, 4188, 519, 1445, 540, 519, 7828, 1256, 950, 519, 8254, 568, 538, 1313, 1993, 1371, 7154, 563, 14454, 267, 1313, 1993, 1371, 1949, 723, 7494, 4824, 519, 6111, 543, 3432, 540, 2519, 538, 3059, 12514, 267, 1818, 621, 4443, 585, 21706, 547, 7001, 8325, 2592, 538, 513, 3099, 540, 3871, 563, 15862, 14409, 543, 30433, 22159, 454, 15862, 4393, 543, 6846, 5786, 616, 1079, 540, 519, 1034, 1713, 7760, 538, 3059, 8254, 2029, 269, 1452, 2934, 1450, 21706, 547, 7001, 1164, 7779, 2592, 609, 3152, 8897, 543, 8856, 563, 15862, 4393, 4016, 547, 519, 1585, 6620, 543, 2553, 1031, 547, 3986, 543, 13861, 3059, 2592, 269, 901, 2882, 14577, 21386, 267, 4334, 267, 25294, 267, 543, 2681, 3666, 267, 607, 1134, 607, 9427, 20541, 687, 971, 607, 7452, 9634, 543, 6985, 1738, 32623, 1674, 269, 12005, 4393, 666, 849, 581, 1031, 547, 2953, 4598, 2152, 267, 32260, 2592, 267, 543, 4894, 6846, 563, 5591, 1047, 5786, 568, 519, 1184, 540, 9427, 13311, 6846, 689, 3059, 2592, 269, 901, 568, 3226, 1271, 538, 1970, 2000, 697, 2175, 267, 1141, 3059, 12514, 4043, 547, 3132, 811, 6846, 269, 30433, 5786, 666, 581, 6913, 998, 513, 3099, 540, 2409, 267, 1519, 3301, 6620, 543, 8800, 3334, 563, 3080, 540, 519, 1034, 2442, 2409, 540, 6846, 5786, 568, 547, 2333, 519, 9300, 2450, 610, 547, 946, 513, 3677, 9300, 8254, 269, 901, 2636, 585, 811, 1769, 547, 581, 9676, 676, 519, 8254, 267, 799, 538, 2490, 6971, 519, 2179, 540, 6846, 538, 519, 3239, 269, 6271, 1505, 568, 547, 946, 2362, 18869, 5468, 267, 799, 666, 849, 2569, 6846, 267, 855, 949, 1267, 538, 2539, 3239, 2298, 563, 25413, 2264, 6620, 666, 849, 581, 1031, 547, 2569, 6846, 538, 3059, 2592, 269, 1452, 6620, 5659, 519, 3239, 1239, 543, 2697, 2127, 540, 6846, 267, 799, 666, 1287, 581, 6569, 610, 4389, 269, 901, 666, 581, 2944, 998, 1585, 2553, 267, 971, 607, 5347, 532, 610, 19011, 1645, 563, 14454, 267, 3239, 4393, 543, 6846, 5786, 616, 2629, 2934, 538, 3059, 8254, 2029, 267, 3850, 21706, 547, 7001, 1164, 7779, 2592, 609, 3152, 8897, 543, 8856, 563, 289, 19495, 5020, 543, 19554, 27519, 454, 1103, 519, 2085, 540, 3059, 10344, 267, 6007, 1272, 543, 4859, 4390, 723, 1831, 2629, 2188, 547, 2015, 950, 11449, 513, 8254, 269, 634, 4417, 540, 3059, 12514, 814, 3366, 547, 513, 1713, 6454, 538, 6007, 1272, 267, 3850, 21706, 547, 7001, 811, 2592, 1510, 519, 991, 585, 7928, 6007, 5372, 906, 269, 1717, 267, 519, 4390, 540, 519, 4859, 5420, 3788, 513, 2565, 7156, 585, 21706, 945 ]

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

[ 795, 264, 7481, 7386, 1247, 7023, 912, 13376, 678, 267, 524, 815, 7023, 4877, 963, 1111, 4590, 13376, 585, 1535, 267, 586, 538, 16733, 272, 267, 476, 271, 1070, 11196, 272, 267, 476, 271, 1070, 630, 271, 267, 910, 272, 1070, 630, 271, 267, 476, 272, 15892, 23351, 533, 267, 7117, 815, 678, 1341, 1535, 267, 524, 1341, 586, 454, 23351, 952, 476, 271, 10922, 533, 2999, 544, 543, 476, 271, 10922, 7117, 2999, 562, 543, 7470, 314, 335, 6012, 336, 316, 2652, 1412, 272, 12466, 4449, 3546, 7023, 6910, 9230, 335, 267, 7117, 4917, 4449, 3546, 7470, 314, 335, 6012, 336, 316, 815, 1412, 271, 7055, 1038, 2132, 1293, 692, 0, 3698, 1505, 23919, 318, 842, 318, 935, 3200, 25225, 2187, 825, 5727, 19686, 835, 267, 946, 5569, 2999, 15010, 703, 7503, 454, 825, 476, 272, 269, 22417, 5569, 547, 703, 267, 1210, 4786, 1599, 454, 825, 476, 273, 269, 9578, 835, 547, 703, 454, 825, 476, 274, 269, 22417, 703, 1394, 547, 5569, 692, 825, 5384, 6988, 281, 744, 3799, 994, 825, 6611, 6988, 281, 562, 454, 825, 8173, 825, 562, 815, 703, 3488, 8339, 21860, 9852, 777, 19304, 267, 15358, 30727, 1341, 476, 272, 454, 825, 1948, 22417, 703, 1394, 547, 1193, 454, 825, 1193, 5332, 815, 1496, 842, 3287, 264, 585, 1535, 538, 1193, 3799, 22708, 825, 2132, 1193, 5332, 7531, 3698, 1505, 23631, 15479, 633, 5560, 580, 1080, 2187, 825, 5727, 19686, 1079, 267, 946, 25276, 454, 825, 476, 272, 269, 6744, 519, 2063, 7857, 267, 952, 1447, 982, 476, 280, 267, 3274, 7132, 835, 454, 825, 476, 273, 269, 7435, 548, 519, 2241, 946, 2013, 950, 9704, 815, 1496, 280, 454, 825, 476, 274, 269, 1234, 15479, 633, 593, 9704, 314, 271, 18737, 272, 6540, 825, 5384, 6988, 281, 744, 3799, 994, 825, 6611, 6988, 281, 562, 454, 825, 8173, 825, 952, 9704, 15631, 272, 316, 2999, 476, 280, 912, 1038, 9704, 15631, 272, 316, 6834, 476, 272, 454, 1038, 2132, 9704, 454, 825, 8640, 7003, 5560, 580, 1080, 264, 2652, 476, 272, 543, 9704, 314, 271, 316, 2652, 476, 280, 912, 1038, 2132, 1496, 272, 267, 476, 271, 2639, 825, 3116, 912, 1038, 9704, 15631, 272, 316, 815, 476, 271, 454, 1038, 9704, 314, 271, 18737, 272, 316, 815, 1582, 269, 15200, 3080, 5560, 580, 1080, 314, 271, 18737, 272, 7481, 1038, 2132, 9704, 7531, 3698, 1505, 318, 31467, 5560, 580, 1080, 2187, 825, 5727, 19686, 1614, 267, 946, 1247, 8520, 454, 825, 476, 272, 269, 23453, 476, 271, 693, 519, 1917, 1456, 267, 538, 2013, 649, 723, 1496, 280, 267, 476, 280, 907, 2639, 825, 476, 273, 269, 6744, 2063, 7857, 267, 952, 1447, 982, 476, 280, 267, 3274, 7132, 835, 454, 825, 476, 274, 269, 1403, 519, 2063, 7857, 568, 476, 280, 267, 1305, 621, 547, 476, 271, 267, 543, 1039, 4163, 692, 825, 5384, 6988, 281, 744, 3799, 994, 825, 6611, 6988, 281, 562, 454, 825, 8173, 825, 9704, 27044, 263, 271, 267, 476, 271, 994, 825, 1948, 31230, 998, 519, 1592, 689, 519, 1439, 454, 825, 1775, 815, 7003, 5560, 580, 1080, 264, 910, 476, 272, 454, 825, 1247, 1775, 13843, 476, 271, 912, 1038, 1948, 1403, 519, 7857, 568, 1447, 982, 476, 280, 267, 1175, 7132, 835, 454, 1038, 952, 9704, 5157, 316, 2999, 476, 280, 912, 2018, 9704, 5157, 316, 6834, 476, 272, 454, 2018, 2736, 454, 1038, 3116, 912, 2018, 1948, 5590, 7857, 547, 476, 271, 267, 543, 682, 2801, 341, 519, 4163, 547, 519, 1985, 561, 31463, 21767, 454, 2018, 9704, 5157, 316, 815, 476, 271, 454, 2018, 1775, 20699, 476, 272, 454, 825, 952, 9704, 314, 271, 316, 2652, 476, 271, 912, 1038, 9704, 21014, 263, 271, 994, 825, 2132, 9704, 7531, 5035, 8827, 912, 825, 1219, 7132, 3080, 4311, 267, 9704, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 2132, 1505, 23919, 318, 842, 318, 935, 3200, 5560, 580, 1080, 994, 0, 3698, 1505, 318, 821, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 795, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 5157, 316, 11203, 476, 271, 912, 2018, 15358, 14728, 3910, 15358, 5157, 316, 815, 15358, 5157, 3910, 15358, 14728, 2639, 1038, 795, 6834, 476, 272, 454, 825, 2132, 15358, 7531, 3698, 1505, 4671, 6851, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 317, 273, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 5157, 316, 2652, 476, 271, 912, 2018, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 7003, 25225, 15892, 3546, 952, 15358, 14728, 316, 11203, 476, 271, 912, 7386, 15358, 5157, 3910, 15358, 14728, 316, 815, 15358, 14728, 3910, 15358, 5157, 2639, 7386, 2736, 454, 825, 2132, 15358, 7531, 3698, 1505, 318, 22764, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 585, 562, 538, 15358, 912, 1038, 952, 562, 2652, 476, 271, 912, 2018, 15358, 31927, 263, 271, 994, 2018, 15358, 6910, 263, 271, 994, 825, 2132, 15358, 7531, 3698, 1505, 6958, 712, 25225, 2187, 825, 1948, 5384, 6988, 281, 744, 3799, 994, 825, 1948, 6611, 6988, 281, 562, 454, 825, 795, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 952, 15358, 5157, 316, 11203, 476, 271, 912, 2018, 15358, 14728, 316, 815, 15358, 5157, 2639, 2018, 795, 6834, 476, 272, 692, 825, 1247, 795, 2999, 7003, 25225, 2187, 1038, 15358, 14728, 316, 815, 476, 271, 454, 1038, 795, 6834, 476, 272, 7531, 5035, 8827, 912, 825, 1219, 1847, 313, 3266, 525, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 7183, 912, 1038, 8173, 1038, 1684, 711, 2132, 4376, 267, 12189, 15358, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 795, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 25225, 15892, 2018, 952, 15358, 5157, 316, 11203, 476, 271, 912, 3546, 15358, 5157, 3910, 15358, 14728, 316, 815, 15358, 14728, 3910, 15358, 5157, 2639, 3546, 795, 6834, 476, 272, 454, 1038, 2132, 15358, 454, 0, 12163, 7069, 575, 527, 1504, 912, 476, 910, 4179, 2517, 1952, 3052, 527, 1504, 2593, 270, 287, 2023, 2643, 1460, 340, 4882, 270, 548, 564, 13892, 7933, 29174, 3491, 13559, 2719, 270, 4226, 268, 6016, 725, 270, 5002, 268, 272, 11607, 516, 2091, 1532, 1080, 454, 20701, 5035, 8827, 912, 825, 1219, 9258, 289, 1080, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 2132, 1582, 269, 4226, 8548, 913, 3799, 2020, 825, 1219, 3787, 8548, 913, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 6611, 6988, 281, 744, 263, 272, 994, 1038, 8173, 1038, 20735, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 3953, 2187, 2018, 20735, 815, 630, 753, 24177, 476, 272, 264, 1341, 630, 333, 1299, 476, 272, 994, 2018, 562, 23645, 284, 476, 272, 454, 1038, 2132, 20735, 692, 825, 1219, 3787, 8548, 913, 273, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 6611, 6988, 281, 744, 263, 272, 994, 1038, 8173, 1038, 20735, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 3953, 2187, 2018, 20735, 6834, 630, 333, 1299, 476, 272, 264, 24177, 630, 4029, 910, 1775, 994, 2018, 562, 23645, 284, 476, 272, 454, 1038, 2132, 20735, 692, 825, 1219, 946, 318, 842, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 18217, 994, 1038, 6611, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 8173, 1038, 3787, 23919, 815, 1412, 346, 271, 281, 271, 3953, 321, 348, 8339, 8971, 3799, 994, 1038, 2132, 703, 263, 4226, 23919, 11468, 18737, 272, 3910, 3490, 284, 273, 2020, 825, 1219, 946, 318, 842, 273, 4311, 267, 562, 2187, 1038, 8173, 1038, 5384, 6988, 281, 744, 18217, 994, 1038, 6611, 6988, 281, 744, 263, 3953, 264, 815, 744, 263, 272, 994, 1038, 8173, 1038, 536, 815, 10822, 3799, 264, 11468, 272, 18737, 272, 2639, 1038, 2132, 703, 6357, 1341, 1412, 271, 262, 2608, 630, 3953, 910, 7003, 6357, 24270, 476, 273, 264, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 5035, 10055, 24998, 2187, 825, 8173, 825, 29635, 368, 355, 9463, 371, 32352, 454, 825, 2179, 15159, 419, 378, 492, 30317, 19404, 495, 30903, 507, 454, 825, 476, 30244, 14748, 32352, 16533, 365, 15159, 12916, 510, 23746, 23284, 419, 506, 489, 28996, 12916, 510, 7511, 420, 368, 355, 16043, 371, 19404, 490, 30837, 351, 20069, 14035, 504, 16533, 495, 419, 378, 492, 30317, 8147, 29004, 351, 28997, 501, 29873, 32512, 418, 364, 495, 27747, 479, 9463, 486, 15159, 14035, 504, 16533, 495, 454, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 2557, 2187, 1038, 1582, 14857, 600, 339, 284, 271, 454, 1038, 1582, 269, 3433, 815, 2557, 454, 1038, 8173, 1038, 476, 30244, 19404, 490, 7511, 1029, 600, 339, 21251, 418, 481, 367, 28884, 10254, 360, 32512, 18777, 379, 25426, 362, 8147, 19867, 478, 23284, 31176, 491, 30837, 351, 20693, 510, 29072, 31284, 10254, 496, 419, 374, 379, 15159, 26175, 479, 20069, 7511, 8147, 421, 375, 502, 18777, 353, 15159, 271, 454, 1038, 13127, 353, 500, 30837, 351, 20069, 28098, 10524, 500, 13213, 505, 27310, 420, 369, 489, 29219, 454, 1038, 29185, 825, 7711, 27393, 1399, 454, 825, 1219, 2179, 4311, 2187, 1038, 5727, 420, 368, 355, 9463, 371, 12916, 503, 30903, 507, 27818, 419, 378, 492, 30317, 24724, 12163, 1038, 2132, 1582, 14857, 600, 339, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 524, 5500, 4311, 2187, 1038, 5727, 420, 368, 355, 9463, 371, 12916, 503, 30903, 507, 27818, 32512, 418, 364, 495, 27747, 479, 24724, 12163, 1038, 2132, 1582, 14857, 600, 339, 2608, 1582, 269, 3433, 692, 825, 7711, 26920, 15630, 614, 454, 825, 1219, 2179, 4311, 267, 7407, 2187, 1038, 952, 1871, 283, 271, 912, 2018, 1820, 2891, 28989, 267, 1100, 2942, 2179, 538, 519, 2272, 23528, 2018, 2132, 454, 1038, 1582, 14857, 600, 339, 284, 7407, 454, 1038, 5727, 30244, 19404, 490, 23746, 23284, 419, 506, 489, 28996, 417, 28187, 31563, 12916, 510, 7511, 19404, 495, 30903, 507, 16533, 493, 30678, 271, 8147, 25263, 504, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 419, 378, 492, 30317, 7511, 29219, 454, 1038, 29635, 352, 483, 421, 354, 364, 417, 503, 357, 21251, 419, 509, 354, 421, 479, 497, 10524, 478, 18263, 486, 418, 482, 493, 26233, 507, 454, 1038, 476, 12916, 484, 15159, 21550, 373, 29004, 362, 14756, 497, 31563, 18021, 498, 13644, 354, 15159, 25203, 368, 26406, 354, 13213, 498, 18713, 508, 420, 368, 355, 16043, 371, 14395, 508, 30522, 483, 12916, 503, 30903, 507, 8147, 417, 28187, 31563, 23523, 501, 28996, 7511, 29219, 15159, 420, 368, 509, 12255, 7511, 13644, 507, 454, 1038, 29185, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 23922, 825, 934, 284, 28398, 263, 3433, 284, 277, 269, 277, 994, 825, 934, 269, 26920, 15871, 736, 454, 825, 1820, 2891, 291, 20683, 2179, 281, 14307, 3147, 269, 26920, 994, 825, 1820, 2891, 1103, 595, 29369, 281, 14307, 3147, 6983, 5500, 994, 825, 934, 269, 26920, 15871, 1911, 454, 825, 1820, 2891, 291, 20683, 2179, 281, 14307, 3147, 269, 26920, 994, 0, 10852, 18360, 815, 834, 1492, 2656, 6960, 16541, 29860, 936, 519, 27823, 2915, 269, 519, 2915, 11739, 696, 936, 519, 2357, 663, 1695, 4799, 328, 284, 271, 454, 2908, 23919, 17342, 2639, 6112, 1775, 2999, 7003, 9852, 664, 18360, 2187, 14851, 1292, 18360, 5157, 316, 2525, 257, 1478, 13426, 453, 453, 19874, 454, 453, 453, 5417, 284, 10852, 18360, 5157, 2639, 453, 453, 2908, 23919, 6910, 263, 5417, 994, 453, 328, 284, 328, 266, 272, 454, 2745, 28956, 23919, 994, 0, 3698, 1039, 20311, 8217, 5416, 14720, 2187, 453, 328, 815, 476, 271, 454, 453, 6112, 1775, 2999, 7003, 17338, 272, 2187, 453, 453, 5417, 20311, 815, 513, 5157, 316, 1341, 536, 5157, 2639, 453, 13537, 263, 5417, 20311, 994, 453, 453, 328, 815, 1775, 1341, 476, 272, 454, 4289, 272, 815, 1496, 736, 267, 476, 4375, 267, 476, 3393, 2639, 4289, 273, 815, 1496, 3451, 267, 476, 4510, 267, 476, 2420, 2639, 5417, 20311, 8217, 17338, 272, 267, 4289, 273, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 24639, 294, 2752, 6730, 5254, 24086, 28960, 19851, 6020, 2464, 454, 8893, 476, 275, 6261, 4953, 4629, 4041, 9331, 6730, 27946, 4629, 595, 4047, 300, 13965, 28960, 19851, 6020, 2464, 454, 8893, 476, 276, 6363, 308, 5085, 6730, 28960, 19851, 6020, 3201, 717, 3008, 2464, 0, 6930, 495, 357, 6930, 493, 376, 6930, 496, 375, 1548, 568, 667, 2570, 1890, 769, 20287, 414, 507, 497, 11588, 414, 507, 497, 25363, 7695, 10613, 414, 507, 497, 347, 609, 8943, 6201, 454, 17098, 11570, 26461, 489, 269, 769, 713, 2376, 267, 649, 3580, 2911, 827, 667, 2570, 1890, 769, 20287, 269, 1284, 3580, 1413, 585, 4267, 540, 930, 2055, 971, 607, 1548, 568, 519, 667, 2570, 1890, 769, 20287, 414, 507, 497, 4208, 649, 1058, 1416, 827, 621, 414, 507, 497, 11588, 414, 507, 497, 1548, 616, 519, 2409, 547, 2936, 14192, 414, 507, 497, 454, 1103, 519, 1483, 1158, 267, 649, 991, 930, 2645, 267, 3615, 267, 1919, 585, 11264, 930, 4247, 269, 1924, 1247, 649, 20592, 519, 1483, 1158, 547, 5752, 607, 3615, 649, 991, 930, 824, 3615, 585, 3257, 930, 1919, 269, 1924, 585, 11264, 938, 1292, 2816, 649, 4096, 593, 930, 824, 3615, 267, 3157, 267, 29782, 3092, 269, 2334, 779, 4010, 1018, 21341, 568, 563, 291, 2570, 1890, 568, 930, 2838, 1843, 8320, 799, 649, 4096, 593, 873, 1299, 649, 991, 873, 538, 1931, 547, 11264, 1474, 996, 902, 563, 2690, 3236, 282, 538, 519, 1483, 1158, 513, 17354, 2115, 547, 29477, 499, 267, 9462, 496, 375, 267, 9517, 292, 630, 4754, 1406, 1265, 900, 334, 10202, 9462, 502, 488, 1040, 2755, 20592, 713, 17354, 547, 5752, 267, 519, 17354, 1362, 814, 547, 723, 873, 269, 769, 519, 1657, 1362, 267, 519, 3763, 518, 1362, 2115, 513, 24334, 1362, 3236, 267, 513, 8950, 1362, 3236, 267, 606, 9517, 292, 1362, 3236, 543, 952, 2877, 865, 593, 2507, 769, 519, 1657, 1362, 6995, 2073, 2780, 543, 7471, 28319, 5319, 341, 616, 29444, 563, 1103, 713, 1505, 267, 519, 1362, 5932, 2877, 29444, 676, 3294, 269, 1280, 3236, 1657, 3763, 518, 1362, 5932, 543, 3355, 3278, 922, 29444, 6995, 267, 2780, 267, 7471, 28319, 5319, 341, 676, 3294, 563, 1103, 713, 1505, 267, 29444, 616, 22280, 689, 3544, 540, 519, 1362, 883, 519, 1362, 269, 1306, 596, 1294, 538, 519, 2630, 267, 519, 1362, 13668, 922, 2877, 29444, 1247, 621, 781, 1373, 2813, 563, 291, 2570, 1890, 769, 915, 687, 568, 513, 1374, 4806, 602, 2636, 721, 547, 5094, 519, 5137, 543, 946, 540, 29444, 269, 898, 1450, 721, 547, 4383, 29444, 3362, 563, 3528, 713, 267, 649, 666, 7630, 2838, 29444, 693, 2196, 6066, 3079, 540, 2870, 873, 538, 519, 2877, 1362, 269, 4746, 267, 621, 568, 519, 6388, 540, 667, 2570, 1890, 769, 11437, 2443, 25663, 2839, 779, 476, 276, 628, 6240, 2443, 4586, 20236, 14716, 568, 3833, 2241, 269, 3143, 2462, 3646, 610, 3790, 269, 1656, 849, 519, 1292, 1362, 2443, 19838, 269, 9041, 14946, 518, 2443, 9041, 5035, 814, 2407, 1852, 936, 875, 543, 950, 547, 1711, 29444, 269, 1809, 814, 930, 931, 607, 2630, 3248, 268, 898, 3423, 919, 547, 17266, 26930, 20232, 6902, 634, 3763, 518, 1362, 2115, 547, 917, 875, 547, 1711, 29444, 543, 849, 875, 547, 946, 873, 1927, 269, 2334, 779, 1932, 1454, 5539, 269, 3962, 1362, 1058, 581, 3743, 585, 1175, 835, 10342, 267, 5539, 563, 268, 772, 660, 652, 762, 6902, 513, 264, 1879, 513, 1770, 1449, 8959, 649, 1810, 1406, 917, 1018, 568, 519, 4890, 2601, 269, 1772, 519, 2601, 568, 3763, 518, 1362, 610, 1776, 8200, 1362, 268, 2813, 678, 29025, 29444, 268, 269, 536, 264, 667, 2570, 4293, 1810, 1406, 5372, 762, 269, 1924, 950, 649, 1616, 547, 23769, 519, 29444, 609, 1114, 14726, 540, 873, 585, 4152, 1114, 7653, 649, 1175, 666, 1406, 798, 602, 269, 5221, 519, 29444, 616, 2182, 865, 519, 1362, 7303, 547, 1210, 513, 1449, 5595, 269, 1280, 3236, 6902, 952, 649, 1616, 547, 2638, 519, 7607, 540, 513, 3763, 518, 609, 513, 4678, 974, 3079, 540, 606, 25385, 637, 810, 267, 513, 5839, 3079, 540, 513, 631, 622, 1504, 610, 966, 17092, 1712, 3079, 540, 15692, 22456, 649, 1175, 666, 1406, 2936, 713, 9183, 3362, 269, 5221, 29444, 616, 711, 5372, 762, 269, 4179, 2517, 4364, 1756, 2593, 8276, 4215, 11305, 25248, 273, 321, 23042, 271, 320, 272, 321, 15876, 325, 14991, 4206, 324, 276, 320, 5400, 321, 323, 278, 322, 279, 10774, 10915, 454, 268, 570, 4774, 21676, 7204, 6902, 3763, 518, 1362, 568, 17401, 13745, 547, 24334, 267, 8950, 267, 9517, 292, 5049, 269, 1924, 950, 649, 1616, 547, 946, 519, 3763, 518, 1362, 649, 723, 547, 946, 24334, 267, 8950, 267, 9517, 292, 5049, 269, 1656, 849, 649, 666, 1406, 5372, 873, 609, 824, 14726, 540, 835, 269, 4746, 950, 513, 1689, 1624, 3293, 538, 21341, 5049, 267, 782, 8200, 5049, 723, 547, 1689, 269, 1924, 2226, 1464, 568, 2182, 563, 4415, 667, 2570, 1890, 769, 20287, 267, 649, 2119, 547, 8207, 519, 1657, 2042, 269, 4746, 814, 931, 899, 17596, 811, 942, 563, 19119, 540, 519, 20074, 667, 2570, 1890, 769, 20287, 616, 6902, 8897, 540, 4152, 267, 556, 639, 1464, 540, 3009, 267, 8897, 540, 1201, 716, 1681, 267, 4227, 15245, 30066, 3009, 267, 948, 547, 10690, 23993, 543, 865, 593, 7498, 4131, 779, 1491, 513, 6251, 1413, 693, 930, 540, 873, 563, 3080, 540, 519, 1883, 2640, 540, 14192, 568, 602, 621, 2306, 4152, 4443, 269, 1809, 875, 3587, 4443, 286, 1772, 621, 1175, 513, 9059, 18389, 286, 2913, 779, 1413, 693, 875, 4152, 3587, 4443, 5123, 676, 5123, 543, 1294, 519, 2427, 2640, 540, 14192, 630, 667, 2570, 1890, 769, 20287, 30155, 21886, 15758, 17266, 26930, 6902, 14192, 568, 3196, 721, 513, 2370, 3787, 547, 5094, 9021, 269, 3962, 1362, 1058, 581, 3743, 585, 922, 10342, 269, 3143, 991, 547, 5855, 827, 2870, 29444, 563, 4910, 6295, 570, 4774, 21676, 7204, 6902, 1635, 19459, 519, 9021, 540, 519, 5049, 649, 786, 723, 29101, 13745, 5049, 563, 21886, 15758, 10435, 26643, 29799, 762, 6902, 14192, 6087, 721, 547, 946, 546, 318, 2570, 1890, 538, 11437, 318, 543, 7048, 593, 2362, 7400, 7493, 687, 269, 1635, 713, 267, 649, 666, 5965, 519, 1114, 30582, 540, 938, 5049, 543, 1780, 8320, 540, 873, 547, 519, 2877, 5049, 269, 1924, 29444, 786, 581, 3362, 5372, 762, 609, 1114, 30582, 269, 2913, 779, 1118, 606, 1383, 585, 811, 1620, 563, 20058, 649, 2328, 938, 5049, 607, 1657, 269, 898, 21314, 922, 29444, 269, 4746, 267, 621, 1281, 922, 9021, 269, 28514, 267, 1577, 781, 7493, 938, 21341, 5049, 24334, 267, 8950, 267, 9517, 292, 563, 1765, 24511, 2921, 513, 17277, 568, 711, 519, 5539, 540, 519, 24334, 1362, 269, 1809, 585, 16134, 594, 1039, 621, 1934, 2443, 454, 2171, 7493, 539, 938, 5049, 269, 1879, 649, 723, 547, 513, 1114, 14583, 540, 24334, 971, 607, 25385, 637, 810, 267, 1977, 334, 267, 4678, 974, 3092, 269, 649, 991, 1175, 2936, 713, 8818, 269, 23893, 3364, 585, 9517, 292, 543, 8950, 5049, 269, 3767, 649, 666, 5965, 3362, 1114, 30582, 607, 2630, 563, 302, 10798, 267, 649, 7493, 539, 938, 5049, 855, 5372, 1464, 568, 875, 2324, 888, 2691, 649, 1616, 547, 1711, 513, 16353, 14946, 518, 2443, 610, 7982, 17484, 14946, 518, 2443, 649, 666, 1780, 1022, 6995, 3236, 610, 1022, 2780, 3236, 610, 1022, 9517, 292, 3236, 547, 621, 269, 667, 2570, 4293, 616, 3362, 5372, 762, 269, 1656, 849, 29444, 616, 23431, 585, 1114, 9367, 971, 607, 2630, 563, 3086, 938, 5049, 616, 865, 8465, 676, 667, 2570, 1890, 769, 11437, 543, 6388, 540, 14192, 269, 1284, 4096, 593, 1164, 7400, 7493, 5049, 543, 7630, 513, 1808, 6388, 693, 2196, 6066, 267, 1759, 593, 519, 2838, 946, 2013, 563, 292, 848, 540, 1449, 6902, 1284, 666, 3362, 7630, 23769, 8320, 547, 938, 5049, 585, 32649, 540, 1114, 7653, 7064, 547, 519, 2653, 5372, 1464, 540, 29444, 563, 268, 667, 2570, 4293, 666, 581, 1031, 1896, 2053, 563, 268, 8729, 547, 1142, 1362, 2348, 835, 10342, 2443, 17266, 26930, 1765, 649, 666, 946, 5049, 538, 1114, 2127, 563, 268, 26643, 616, 1631, 9674, 543, 9678, 269, 2290, 1689, 786, 711, 1860, 513, 2603, 540, 3009, 3515, 563, 268, 1403, 649, 1616, 547, 1689, 606, 6388, 1469, 971, 607, 4955, 7992, 689, 9605, 19668, 547, 670, 5960, 11759, 649, 666, 3362, 1711, 513, 1007, 1362, 543, 7630, 606, 3236, 540, 513, 1007, 1362, 689, 938, 21341, 3246, 4099, 630, 1721, 608, 282, 21602, 5049, 538, 670, 2830, 1916, 2467, 616, 930, 2640, 540, 14192, 971, 607, 1657, 563, 2691, 930, 5049, 616, 8216, 7007, 676, 519, 1062, 15828, 3869, 11721, 1090, 1168, 1251, 649, 723, 547, 1305, 29444, 676, 1305, 614, 3252, 610, 676, 32063, 4806, 563, 1103, 713, 1505, 267, 649, 1780, 2877, 29444, 1247, 2870, 606, 3236, 540, 513, 1362, 269, 1284, 666, 798, 602, 538, 476, 273, 2081, 607, 2630, 563, 6524, 2870, 938, 3077, 1362, 3236, 649, 1711, 29444, 540, 922, 269, 3973, 649, 1780, 29444, 1247, 2870, 519, 3077, 1362, 3236, 563, 2690, 2870, 513, 16353, 14946, 518, 3236, 649, 723, 547, 5965, 29444, 540, 621, 563, 268, 1703, 568, 865, 15245, 30066, 3009, 269, 1284, 723, 547, 1711, 29444, 8164, 649, 1616, 547, 946, 519, 1362, 563, 268, 898, 3423, 919, 519, 17266, 26930, 20232, 269, 1879, 513, 1362, 6499, 547, 946, 606, 3236, 540, 16353, 14946, 518, 621, 786, 581, 3743, 1312, 585, 922, 2816, 543, 5883, 29444, 563, 268, 589, 1689, 538, 16353, 14946, 518, 1362, 786, 1860, 513, 2603, 540, 2127, 269, 1924, 2226, 1464, 568, 2182, 269, 5004, 568, 2182, 563, 268, 1284, 723, 547, 917, 799, 1362, 2115, 799, 29444, 610, 649, 786, 1413, 693, 519, 1362, 585, 2877, 29444, 563, 12441, 596, 1589, 607, 454, 310, 339, 325, 9462, 496, 358, 269, 594, 1175, 1616, 547, 1711, 513, 695, 527, 3236, 267, 946, 621, 543, 1175, 1445, 547, 1250, 1292, 2816, 454, 31800, 1695, 267, 596, 616, 11207, 1318, 269, 1656, 594, 3858, 609, 596, 6930, 353, 501, 269, 4746, 267, 594, 723, 513, 3070, 585, 596, 538, 1931, 547, 4194, 713, 269, 2913, 779, 1847, 547, 519, 1985, 2140, 563, 1103, 519, 3105, 2140, 267, 649, 2813, 267, 3177, 543, 7307, 29444, 6000, 269, 1809, 972, 616, 1585, 8021, 547, 798, 602, 15773, 540, 721, 269, 1703, 616, 1082, 2934, 540, 873, 543, 789, 723, 476, 273, 1883, 10342, 3592, 782, 563, 268, 14190, 532, 721, 547, 5581, 875, 1142, 21341, 1058, 581, 3177, 269, 16522, 1314, 3092, 5673, 593, 519, 5399, 799, 596, 946, 563, 10376, 1599, 568, 3743, 585, 7829, 835, 21341, 269, 1879, 649, 991, 606, 3236, 540, 16353, 14946, 518, 519, 14192, 5399, 786, 1711, 606, 3236, 540, 24334, 676, 10912, 1683, 290, 4752, 2465, 3890, 543, 1780, 621, 547, 1683, 300, 9394, 14946, 518, 14061, 634, 1482, 3364, 4422, 593, 585, 2780, 543, 1361, 4164, 338, 269, 1879, 782, 4164, 338, 616, 3177, 267, 1683, 300, 9394, 14946, 518, 3890, 1599, 786, 1711, 606, 3236, 540, 16353, 14946, 518, 269, 7053, 267, 519, 14192, 5399, 786, 2285, 721, 519, 3236, 3177, 676, 1683, 300, 9394, 14946, 518, 3890, 1599, 8164, 649, 991, 621, 563, 268, 14190, 532, 721, 547, 5581, 4632, 602, 616, 2469, 547, 7630, 269, 1284, 1175, 5581, 29444, 602, 649, 991, 543, 519, 5399, 786, 5352, 15245, 30066, 3009, 585, 721, 543, 1683, 782, 2877, 29444, 547, 721, 269, 1879, 649, 991, 513, 16353, 14946, 518, 3236, 649, 1175, 991, 547, 1217, 519, 5399, 269, 1656, 1287, 946, 621, 1510, 20468, 827, 922, 29444, 3092, 269, 1924, 3579, 267, 3884, 1406, 621, 9462, 502, 492, 888, 268, 12861, 543, 1210, 29444, 616, 9674, 269, 634, 4494, 540, 3246, 519, 29444, 568, 9674, 267, 2312, 543, 2653, 547, 1174, 269, 4033, 2694, 540, 519, 813, 1810, 1406, 5855, 827, 29444, 269, 1358, 1175, 1445, 593, 741, 6009, 563, 268, 14168, 5826, 1317, 519, 5137, 540, 29444, 568, 21438, 538, 930, 6119, 269, 1656, 519, 1964, 540, 519, 813, 1210, 1934, 269, 1924, 950, 649, 1689, 519, 8502, 1599, 621, 786, 1860, 782, 540, 519, 3009, 799, 3096, 621, 269, 1924, 1100, 1022, 16924, 1201, 716, 1681, 563, 268, 26643, 616, 29101, 13745, 269, 1358, 666, 3362, 581, 5372, 762, 269, 1924, 2653, 1449, 762, 269, 1403, 649, 1616, 547, 4152, 547, 5985, 14946, 619, 609 ]

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

[ 680, 904, 616, 519, 2835, 3254, 593, 1283, 540, 519, 2835, 3559, 1407, 267, 593, 7515, 267, 610, 9365, 9708, 269, 634, 7662, 729, 1500, 31392, 513, 3666, 585, 2757, 19824, 602, 1453, 1223, 849, 2015, 269, 901, 7662, 729, 15653, 536, 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, 4317, 11762, 1315, 18880, 1299, 12484, 1132, 1315, 570, 16260, 1299, 20504, 766, 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 ]

[ 763, 7990, 14672, 10179, 673, 3009, 2813, 585, 519, 561, 1749, 540, 512, 858, 1231, 912, 19400, 519, 570, 858, 514, 13665, 1695, 338, 538, 2962, 912, 5649, 811, 827, 519, 570, 858, 514, 13665, 1695, 338, 538, 29180, 1934, 912, 25748, 267, 513, 31248, 543, 25357, 2376, 20402, 519, 1764, 540, 519, 12108, 5859, 1948, 289, 2590, 12988, 5978, 294, 597, 3149, 267, 2966, 547, 2721, 3007, 547, 519, 705, 9134, 540, 7366, 540, 30645, 1153, 326, 597, 3149, 676, 606, 17119, 626, 1895, 269, 634, 2376, 7074, 602, 971, 2228, 11044, 1419, 5337, 924, 18979, 267, 2943, 7904, 7566, 6161, 585, 513, 2014, 267, 799, 6038, 14543, 547, 28596, 1022, 968, 4820, 7781, 892, 2962, 269, 11569, 267, 519, 2376, 30172, 519, 27742, 540, 1866, 945, 723, 1814, 31985, 519, 26350, 540, 968, 21745, 1388, 14223, 1848, 1280, 3236, 29346, 3794, 611, 6202, 11130, 602, 2228, 3029, 540, 17933, 971, 607, 968, 293, 864, 1504, 17933, 7319, 12923, 711, 676, 30070, 1004, 547, 1118, 513, 1483, 15093, 855, 676, 30070, 873, 547, 798, 519, 1919, 602, 1004, 798, 950, 789, 616, 711, 12592, 2614, 547, 1118, 513, 1483, 15093, 2507, 6518, 646, 6700, 968, 332, 1389, 621, 4443, 585, 15628, 547, 2769, 2933, 267, 543, 9875, 585, 602, 4082, 547, 723, 1022, 1764, 1848, 11109, 15548, 538, 513, 3099, 540, 678, 718, 625, 936, 519, 1296, 267, 594, 630, 299, 11770, 807, 264, 1174, 519, 11610, 602, 666, 581, 20834, 1242, 543, 4296, 2781, 7757, 950, 1004, 15217, 5531, 1369, 2168, 5624, 547, 22299, 1514, 3123, 267, 6927, 540, 6161, 267, 543, 1543, 1190, 2797, 2152, 269, 594, 798, 267, 2705, 267, 4898, 952, 1514, 2923, 5867, 1683, 606, 4316, 585, 721, 547, 22962, 938, 1523, 687, 540, 519, 5137, 540, 1435, 331, 923, 267, 1857, 6278, 267, 543, 22228, 13341, 1369, 1514, 8658, 269, 2311, 519, 1360, 2547, 267, 971, 1514, 2923, 11044, 723, 7152, 602, 789, 723, 519, 1761, 547, 2721, 3007, 547, 1514, 2152, 267, 5968, 1344, 267, 543, 3715, 4296, 1063, 25505, 5121, 593, 513, 7372, 4336, 563, 29791, 547, 519, 31248, 1299, 25357, 2376, 281, 544, 31677, 6921, 12786, 663, 21166, 2593, 30406, 11320, 5454, 270, 629, 9134, 6361, 5991, 9528, 1014, 3766, 597, 3149, 1673, 3863, 338, 8996, 13050, 14141, 1532, 583, 2275, 534, 8584, 3620, 1662, 32002, 11325, 518, 268, 1415, 25298, 270, 14835, 6977, 280, 6924, 1839, 286, 338, 16291, 284, 332, 9394, 261, 9492, 3671, 284, 337, 1087, 272, 261, 28781, 284, 323, 331, 31918, 269, 527, 454, 8310, 3018, 595, 6195, 3377, 1527, 6150, 519, 3919, 9085, 585, 5020, 267, 799, 3091, 12353, 7335, 17781, 3292, 547, 1762, 11299, 538, 1585, 24181, 543, 2146, 18013, 2066, 519, 20523, 17842, 9351, 630, 294, 14011, 1040, 634, 9085, 585, 5020, 3896, 6941, 602, 519, 1982, 568, 8149, 547, 4543, 1762, 31908, 538, 1164, 16250, 2644, 16973, 2066, 519, 2749, 968, 16467, 513, 2259, 540, 2542, 538, 1931, 547, 1569, 3255, 543, 3035, 2804, 6617, 6100, 634, 31908, 10283, 538, 519, 7335, 19449, 3380, 2743, 12353, 267, 2059, 609, 513, 1982, 4863, 1807, 267, 547, 4497, 538, 5717, 543, 1603, 2238, 827, 2835, 602, 616, 4143, 547, 741, 2729, 269, 634, 1982, 849, 13922, 602, 10283, 31908, 786, 2671, 741, 15131, 585, 2542, 609, 741, 1453, 269, 1677, 4266, 267, 5111, 968, 273, 267, 1220, 31908, 723, 15548, 538, 519, 7335, 19449, 3380, 543, 811, 982, 476, 736, 267, 1822, 2835, 723, 1044, 7856, 892, 630, 10674, 2517, 4178, 7456, 3438, 1155, 1721, 5158, 3820, 1916, 5141, 633, 543, 594, 630, 5141, 732, 264, 616, 2469, 547, 32181, 7974, 543, 14295, 698, 6511, 547, 1459, 693, 1079, 19014, 281, 835, 585, 4116, 7855, 543, 835, 585, 3610, 269, 630, 5415, 827, 938, 1995, 547, 1246, 4700, 769, 938, 19359, 609, 938, 18207, 1014, 14747, 267, 945, 723, 1044, 11212, 1178, 4109, 267, 649, 1205, 519, 12705, 789, 616, 1360, 5059, 593, 5355, 623, 13453, 8464, 269, 3245, 938, 2542, 827, 21896, 649, 5431, 972, 568, 8860, 6710, 2943, 789, 723, 1500, 5458, 26058, 538, 5355, 7924, 3928, 269, 1284, 5660, 519, 14196, 5185, 676, 519, 18207, 2103, 1107, 574, 2889, 557, 1449, 8464, 593, 3486, 3800, 2943, 2069, 568, 896, 759, 712, 1027, 269, 9861, 6273, 676, 623, 14515, 19300, 331, 6199, 630, 663, 538, 5329, 609, 519, 4681, 689, 938, 1382, 607, 4330, 538, 938, 1007, 1433, 19663, 607, 513, 11819, 1070, 519, 1445, 1058, 711, 581, 796, 559, 831, 958, 593, 5355, 623, 13453, 8464, 855, 1058, 581, 6626, 2443, 1683, 2298, 2069, 269, 6153, 3450, 786, 2087, 7924, 9740, 543, 799, 538, 2490, 2087, 8464, 593, 623, 13453, 269, 1306, 19300, 331, 6199, 779, 1239, 2982, 267, 519, 2477, 5059, 593, 9013, 519, 6437, 543, 593, 3450, 547, 519, 1449, 723, 19394, 9740, 593, 623, 13453, 269, 630, 8450, 4989, 476, 866, 628, 5816, 2022, 593, 713, 1888, 4700, 3220, 1571, 543, 2247, 1652, 3211, 786, 711, 7722, 1346, 1453, 945, 798, 711, 1294, 2933, 607, 3988, 269, 1924, 938, 5048, 786, 581, 1107, 1577, 779, 1489, 3610, 865, 789, 917, 875, 547, 1683, 4143, 267, 2502, 267, 543, 3617, 6437, 269, 634, 8464, 593, 623, 13453, 786, 1491, 1416, 540, 2933, 269, 1284, 1131, 2648, 547, 5873, 689, 1866, 945, 723, 5249, 538, 21896, 563, 24145, 2329, 1646, 568, 10423, 538, 782, 2127, 540, 938, 1153, 6437, 269, 594, 630, 312, 2723, 320, 264, 723, 1044, 3206, 827, 519, 14411, 15099, 267, 3226, 519, 1007, 4317, 5525, 6437, 543, 875, 1454, 621, 814, 7960, 936, 519, 1296, 269, 634, 5767, 12080, 3609, 585, 3450, 4317, 5525, 814, 1500, 1713, 12374, 538, 3384, 2565, 7924, 543, 15520, 4143, 27380, 563, 1607, 15964, 1247, 594, 729, 14120, 519, 14914, 9702, 609, 1250, 1920, 594, 9289, 875, 713, 15520, 1713, 2680, 1223, 581, 3769, 538, 519, 6437, 1510, 9813, 908, 1346, 1053, 945, 798, 711, 7747, 14914, 563, 763, 6103, 476, 273, 1514, 2090, 6437, 814, 513, 18843, 281, 21744, 7731, 543, 7991, 26492, 269, 1879, 594, 6026, 6103, 476, 273, 519, 18843, 729, 1572, 281, 26492, 543, 18270, 725, 269, 1635, 519, 16144, 4805, 835, 666, 1294, 519, 12497, 6521, 602, 814, 3144, 1747, 538, 875, 649, 1589, 827, 5389, 269, 3973, 621, 546, 1177, 2740, 593, 803, 267, 1590, 649, 26654, 531, 1125, 4559, 540, 1353, 547, 7161, 540, 942, 286, 4208, 711, 1930, 519, 1770, 540, 1353, 543, 723, 1053, 2429, 519, 1032, 2671, 519, 2146, 5389, 789, 7747, 286, 1656, 540, 1576, 267, 789, 991, 333, 1406, 581, 3908, 547, 6101, 14812, 269, 1358, 666, 581, 607, 1713, 607, 519, 1920, 2245, 540, 31910, 1154, 610, 4730, 2575, 563, 10190, 594, 3459, 547, 1589, 827, 875, 1271, 713, 1880, 1920, 2245, 568, 585, 1250, 1453, 543, 875, 594, 1131, 899, 585, 621, 547, 581, 14751, 539, 538, 1153, 282, 711, 585, 922, 3909, 1871, 282, 855, 585, 519, 2956, 621, 6585, 538, 938, 1920, 269, 1548, 952, 31506, 16129, 29366, 5206, 513, 27564, 4062, 593, 1818, 968, 4148, 320, 1735, 525, 892, 609, 1200, 14466, 537, 630, 5408, 3239, 21663, 2701, 1223, 2911, 827, 267, 1995, 267, 543, 2328, 827, 875, 547, 1118, 2757, 595, 2988, 686, 582, 1166, 320, 1735, 525, 269, 1656, 267, 952, 713, 4316, 941, 1930, 2429, 519, 1032, 585, 782, 1453, 547, 2671, 693, 1022, 942, 513, 2027, 2146, 11721, 13637, 2245, 538, 513, 1259, 602, 729, 6209, 547, 873, 630, 10843, 1603, 267, 6340, 267, 3257, 264, 865, 1454, 1702, 267, 1344, 543, 7071, 1223, 581, 3838, 269, 3807, 835, 1507, 1383, 540, 875, 7924, 543, 1514, 2090, 1223, 960, 1927, 563, 296, 630, 5141, 732, 264, 13984, 519, 645, 12239, 11000, 676, 623, 14515, 19300, 331, 6199, 269, 5291, 2517, 335, 12118, 22844, 6199, 2593, 270, 1261, 729, 11121, 543, 13181, 269, 3571, 2911, 729, 1759, 593, 1010, 1655, 18522, 1433, 267, 25227, 16497, 281, 1548, 2052, 519, 2622, 6258, 689, 12409, 7827, 538, 18940, 286, 5291, 2517, 4178, 269, 600, 7571, 28022, 22077, 4883, 880, 6441, 612, 976, 7232, 3027, 1049, 16644, 1052, 6363, 514, 1633, 3887, 1504, 7933, 335, 20324, 876, 7374, 4306, 289, 294, 277, 270, 10915, 284, 338, 337, 318, 272, 318, 272, 286, 773, 284, 7473, 293, 279, 261, 336, 573, 284, 16928, 4281, 276, 24879, 278, 261, 338, 337, 284, 279, 268, 272, 261, 4486, 6919, 284, 335, 14515, 266, 338, 22844, 6199, 454, 14367, 2911, 4682, 2484, 3564, 519, 1433, 269, 589, 1906, 8711, 689, 941, 912, 268, 634, 25227, 1857, 3972, 3610, 563, 268, 11334, 616, 15197, 563, 268, 1284, 3112, 1491, 519, 25227, 2203, 543, 13003, 621, 547, 1776, 2796, 855, 649, 666, 1451, 689, 670, 8582, 519, 25227, 1004, 11028, 24632, 1242, 543, 14059, 2069, 6963, 269, 630, 763, 1292, 3804, 729, 711, 547, 2087, 623, 26721, 8464, 8094, 268, 6820, 12409, 21637, 11873, 630, 294, 2207, 300, 264, 799, 814, 7783, 2477, 899, 519, 2475, 267, 5177, 267, 13291, 1633, 267, 715, 313, 267, 543, 5245, 11168, 6735, 267, 32301, 267, 1449, 2861, 12477, 267, 1153, 3903, 267, 543, 1480, 3854, 269, 1261, 4951, 15942, 540, 2875, 2773, 538, 891, 2477, 20515, 602, 2773, 593, 13387, 4255, 814, 2965, 8854, 667, 32052, 1107, 519, 1951, 935, 1014, 3800, 519, 6608, 723, 13684, 593, 3610, 723, 711, 4824, 2875, 2773, 630, 663, 4440, 711, 2875, 6278, 1916, 268, 18940, 814, 513, 1455, 5075, 585, 2069, 602, 2882, 1390, 3506, 585, 1142, 543, 1169, 1126, 563, 268, 634, 1967, 540, 25227, 2069, 568, 711, 3274, 513, 1267, 540, 4824, 2069, 7341, 855, 513, 2898, 16786, 585, 2486, 563, 268, 769, 18940, 952, 513, 4116, 568, 10010, 267, 2576, 2337, 1864, 17017, 563, 2690, 513, 5299, 540, 533, 696, 6881, 630, 6518, 729, 5863, 264, 4945, 1934, 281, 5291, 2517, 335, 12118, 22844, 6199, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 274, 270, 5881, 23860, 30990, 7304, 310, 289, 11219, 11055, 268, 1001, 275, 15005, 454, 296, 723, 1224, 1010, 1257, 543, 3810, 4363, 621, 547, 1866, 5461, 538, 3020, 6963, 540, 2069, 269, 16797, 4368, 525, 798, 711, 960, 855, 513, 13455, 267, 3102, 1935, 547, 2069, 568, 519, 1259, 649, 1058, 581, 2469, 563, 763, 476, 1001, 275, 1977, 12409, 3194, 5948, 630, 288, 2207, 288, 264, 10554, 3576, 1747, 713, 1032, 538, 15740, 269, 594, 729, 2111, 547, 7390, 930, 4241, 1957, 7886, 267, 16968, 7886, 267, 543, 1623, 24007, 338, 1282, 1250, 942, 972, 269, 594, 849, 7307, 547, 1118, 621, 547, 519, 12300, 9754, 8664, 1858, 540, 15740, 269, 3371, 616, 930, 8666, 8711, 2630, 912, 7069, 15210, 3659, 543, 1382, 26393, 267, 595, 4331, 631, 12011, 1092, 267, 9306, 1200, 1957, 32468, 11868, 5564, 559, 3438, 9313, 16677, 698, 9609, 538, 4139, 3465, 16291, 11819, 4065, 912, 288, 4241, 8470, 11331, 4347, 2056, 267, 1234, 14127, 543, 3690, 14127, 11819, 4065, 281, 634, 8892, 540, 11819, 4065, 538, 519, 2136, 2276, 269, 901, 8470, 779, 2818, 3769, 27692, 11023, 1782, 6953, 2459, 1180, 267, 30227, 5700, 956, 267, 32765, 877, 26186, 603, 267, 543, 26366, 996, 14858, 747, 1676, 563, 2304, 1271, 1623, 24007, 593, 2081, 4116, 2069, 3292, 1472, 519, 1158, 616, 8600, 1095, 16291, 3610, 585, 12790, 1053, 269, 634, 1623, 24007, 13886, 8490, 24486, 543, 27519, 3194, 11627, 725, 2622, 4204, 2334, 16259, 11334, 585, 476, 2641, 560, 11416, 12140, 2334, 6796, 12540, 1400, 1242, 543, 18648, 4841, 538, 3690, 20139, 12745, 338, 269, 12989, 568, 513, 8666, 540, 3220, 269, 29366, 24230, 23364, 4687, 4681, 689, 938, 3486, 1353, 593, 17402, 11819, 30451, 912, 288, 21363, 12129, 609, 938, 1382, 1895, 267, 29460, 11819, 30451, 563, 7661, 267, 513, 8666, 689, 519, 9754, 8664, 799, 568, 3168, 5045, 593, 18148, 15284, 5244, 3118, 269, 594, 729, 7555, 593, 519, 11599, 3268, 1141, 27743, 8036, 1247, 2921, 713, 8666, 256, 0, 4504, 571, 22811, 26298, 9577, 454, 2414, 2708, 519, 1599, 540, 519, 3063, 22811, 4887, 547, 4217, 609, 5868, 540, 2269, 321, 1143, 639, 267, 5605, 569, 18701, 267, 543, 824, 522, 4788, 4713, 563, 2467, 616, 1100, 1426, 267, 5714, 267, 2534, 267, 610, 6646, 9993, 8259, 676, 2564, 4287, 563, 268, 16453, 2039, 540, 522, 4788, 5322, 538, 782, 22401, 7158, 563, 27287, 28454, 543, 15783, 3955, 6761, 454, 29619, 263, 19138, 1826, 281, 11576, 800, 630, 22811, 5148, 1644, 1560, 1062, 281 ]

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

[ 7733, 538, 513, 2635, 543, 2922, 2783, 269, 13229, 6388, 540, 3529, 3921, 514, 1734, 568, 2693, 547, 581, 554, 2086, 1229, 950, 9021, 616, 8237, 1063, 1114, 13623, 1510, 2949, 11558, 269, 5384, 13991, 547, 824, 3344, 540, 519, 3529, 2359, 1982, 1058, 849, 581, 27424, 269, 634, 3026, 655, 3529, 729, 5189, 538, 4639, 4000, 543, 568, 1631, 519, 1034, 4922, 6738, 3529, 538, 519, 5671, 518, 2694, 540, 519, 11782, 269, 8249, 1369, 519, 7733, 971, 607, 4492, 6229, 267, 16025, 267, 607, 1134, 607, 535, 617, 1457, 616, 1031, 676, 519, 17137, 547, 5352, 4747, 689, 6455, 563, 26322, 26216, 568, 606, 9687, 7936, 540, 17929, 519, 2199, 2146, 4249, 513, 1713, 1909, 538, 543, 3375, 1818, 676, 2933, 538, 519, 14123, 1489, 540, 2229, 607, 1134, 607, 1689, 8069, 269, 32114, 602, 519, 1184, 568, 1373, 1031, 267, 519, 1985, 2243, 568, 2436, 519, 1184, 1568, 269, 634, 1101, 2460, 3322, 4657, 519, 1259, 602, 1004, 1589, 827, 519, 4683, 4104, 269, 7991, 32645, 5358, 634, 3483, 540, 519, 7991, 32645, 5358, 568, 547, 13599, 4961, 543, 3375, 24237, 827, 519, 2804, 267, 2825, 267, 5626, 267, 543, 12716, 2640, 540, 4054, 543, 547, 4217, 2199, 6608, 267, 12504, 2516, 543, 13538, 538, 519, 9544, 543, 24569, 2635, 4054, 543, 10664, 16382, 1004, 2661, 543, 960, 538, 519, 3557, 540, 17857, 269, 898, 568, 782, 540, 519, 4054, 543, 824, 10664, 538, 543, 1472, 513, 4884, 267, 2146, 610, 2749, 269, 0, 21659, 514, 4446, 5886, 910, 24020, 3203, 543, 3778, 454, 1103, 6723, 26673, 3205, 781, 10222, 14658, 1523, 267, 519, 6382, 24906, 2597, 454, 1993, 519, 5689, 2280, 15178, 781, 13035, 729, 1500, 946, 540, 676, 11093, 9944, 621, 513, 454, 628, 2273, 2599, 1770, 269, 634, 1101, 1383, 267, 3182, 3293, 1934, 267, 729, 661, 4471, 21805, 454, 26341, 275, 630, 289, 12245, 7773, 476, 31979, 5400, 540, 476, 4489, 275, 1070, 799, 267, 609, 1079, 2147, 1806, 3773, 454, 514, 476, 4489, 277, 267, 14593, 26708, 14884, 909, 519, 14869, 543, 23090, 12246, 4302, 327, 13860, 454, 295, 650, 547, 13323, 27169, 585, 19939, 1296, 269, 4014, 519, 2468, 334, 11124, 689, 513, 454, 15893, 540, 1374, 12755, 630, 6518, 621, 1522, 1134, 723, 1044, 2009, 454, 1729, 9004, 1070, 789, 1412, 323, 573, 519, 2816, 3299, 7429, 519, 1152, 824, 10222, 14658, 267, 7910, 1014, 781, 454, 5591, 269, 10384, 267, 799, 4718, 2370, 946, 543, 1310, 2947, 1296, 729, 24905, 1194, 547, 454, 25075, 728, 2694, 585, 513, 476, 273, 268, 279, 268, 279, 268, 271, 5689, 2280, 543, 2241, 476, 273, 268, 279, 268, 273, 563, 5472, 16749, 1148, 568, 585, 13156, 1152, 543, 568, 10677, 539, 547, 28120, 4446, 5886, 476, 1220, 279, 563, 763, 16749, 1148, 949, 711, 581, 25735, 538, 1022, 1259, 1510, 2854, 10479, 689, 519, 7376, 269, 0, 290, 10744, 543, 1893, 454, 4692, 938, 1893, 3313, 875, 649, 1589, 286, 2107, 568, 621, 2219, 602, 11887, 938, 1893, 286, 3683, 519, 1296, 267, 1382, 814, 6836, 547, 4194, 891, 2010, 540, 2055, 267, 538, 1931, 547, 1265, 856, 519, 3310, 602, 1893, 814, 593, 938, 3206, 538, 1114, 4529, 543, 13030, 17930, 269, 15788, 267, 2090, 1397, 2963, 2509, 519, 3310, 540, 1893, 593, 938, 5042, 1062, 267, 855, 711, 538, 513, 7453, 1259, 269, 19452, 267, 938, 3206, 7506, 938, 1893, 267, 1256, 538, 519, 4082, 540, 4664, 267, 855, 538, 519, 1482, 1259, 267, 621, 666, 581, 3710, 1510, 1893, 269, 0, 293, 5202, 1973, 2516, 543, 22424, 520, 4850, 454, 2026, 538, 3425, 267, 7314, 666, 723, 1114, 1973, 2516, 267, 5462, 16220, 269, 634, 1826, 540, 1973, 1895, 568, 1271, 952, 707, 3032, 3340, 513, 1973, 13816, 4288, 610, 952, 707, 3032, 814, 1044, 544, 730, 609, 513, 3032, 609, 513, 1114, 1973, 1826, 563, 3963, 1281, 621, 2339, 799, 1973, 1895, 1250, 3032, 814, 888, 763, 2101, 1973, 2516, 585, 7314, 616, 7392, 589, 543, 7392, 645, 855, 513, 1360, 1507, 8167, 666, 581, 7392, 9474, 630, 27271, 5219, 547, 607, 7392, 595, 1040, 7392, 589, 568, 513, 8789, 5444, 543, 645, 568, 12424, 633, 269, 7392, 9474, 568, 12424, 633, 547, 7392, 589, 855, 8789, 547, 7392, 645, 269, 6271, 1016, 6943, 814, 849, 1044, 4362, 282, 930, 1826, 589, 7314, 4163, 513, 968, 300, 1731, 892, 5444, 563, 2252, 513, 3032, 814, 513, 7392, 589, 1973, 1895, 267, 621, 814, 12489, 1996, 7392, 645, 1973, 630, 663, 13030, 17930, 1040, 7392, 9474, 7314, 798, 711, 723, 4550, 5025, 610, 4550, 5174, 12489, 269, 10552, 1895, 2010, 616, 1271, 538, 1973, 13816, 16272, 543, 513, 2783, 538, 6539, 29181, 1634, 607, 30564, 568, 334, 2044, 628, 26299, 3974, 563, 9558, 325, 4288, 6547, 666, 2049, 952, 513, 3032, 568, 2016, 513, 1973, 13816, 4288, 689, 1776, 3032, 609, 513, 1114, 1973, 1826, 630, 773, 950, 513, 7392, 513, 3032, 568, 2016, 7392, 645, 1973, 1040, 634, 4761, 1062, 14659, 519, 1007, 2699, 1973, 2281, 616, 2048, 1150, 793, 685, 543, 786, 6861, 873, 269, 901, 666, 1267, 538, 519, 2669, 540, 519, 3032, 610, 267, 693, 519, 2547, 267, 519, 1973, 13816, 4288, 786, 711, 581, 1360, 2500, 607, 519, 2699, 1973, 2281, 949, 723, 513, 10156, 14438, 563, 7312, 17022, 1058, 1449, 707, 3032, 547, 3313, 922, 1973, 1826, 1991, 547, 513, 13816, 4288, 547, 2061, 513, 4049, 13816, 4288, 5114, 9648, 269, 9061, 2173, 10248, 666, 849, 581, 5645, 856, 547, 3713, 811, 5634, 22424, 520, 4850, 971, 607, 1346, 3361, 676, 519, 4527, 540, 631, 1731, 563, 1607, 2783, 666, 8451, 1739, 519, 20282, 540, 513, 7392, 589, 610, 9474, 9723, 609, 513, 7392, 645, 15596, 269, 2368, 540, 519, 4611, 6539, 29181, 786, 723, 513, 1114, 1973, 1826, 547, 519, 3993, 267, 543, 538, 891, 267, 4550, 5174, 12489, 11843, 609, 519, 1101, 5144, 630, 3712, 739, 5300, 264, 666, 2014, 9552, 540, 519, 2699, 1973, 2281, 538, 519, 7392, 589, 630, 528, 7392, 9474, 264, 6539, 1084, 282, 713, 568, 30564, 568, 334, 2044, 628, 26299, 3974, 563, 1692, 786, 594, 917, 799, 1973, 1826, 1250, 3032, 814, 888, 7312, 17022, 666, 1973, 1826, 707, 3032, 1210, 513, 2241, 543, 2656, 538, 27440, 1505, 630, 320, 3556, 610, 1449, 14816, 1040, 27259, 20682, 666, 849, 1449, 1973, 1826, 593, 1973, 269, 3958, 267, 5411, 543, 9742, 619, 666, 10505, 32336, 2220, 11274, 689, 7314, 547, 3313, 952, 789, 616, 7392, 645, 269, 901, 1449, 3112, 10646, 1063, 7392, 589, 543, 519, 4686, 337, 7392, 9474, 563, 1103, 1034, 2477, 7392, 589, 568, 519, 1034, 1455, 1973, 1895, 269, 634, 6871, 540, 7392, 645, 7314, 568, 1360, 4756, 543, 949, 581, 811, 982, 476, 736, 260, 538, 930, 2477, 543, 538, 930, 4525, 269, 769, 519, 5177, 267, 1034, 1875, 1790, 539, 580, 872, 7314, 616, 7392, 589, 609, 513, 4130, 6871, 1373, 7392, 645, 543, 1256, 7864, 7392, 9474, 269, 1717, 267, 519, 6871, 540, 7392, 645, 10838, 1875, 1790, 539, 580, 872, 7314, 1281, 2408, 547, 581, 2810, 563, 1103, 7895, 580, 872, 7314, 267, 972, 568, 513, 2362, 9860, 540, 7392, 645, 269, 6601, 2644, 971, 607, 8061, 517, 1234, 343, 267, 3703, 1744, 2180, 4202, 267, 681, 698, 323, 565, 3149, 543, 645, 3305, 753, 723, 513, 2362, 9860, 540, 7392, 645, 2059, 609, 14655, 267, 24622, 8932, 543, 2806, 903, 7562, 1014, 14981, 269, 769, 930, 2477, 267, 538, 1978, 14981, 630, 1122, 681, 698, 323, 3326, 267, 21960, 2006, 267, 19377, 264, 972, 949, 581, 606, 29099, 1164, 6871, 540, 7392, 9474, 7314, 563, 1432, 786, 4755, 952, 513, 6539, 1084, 10953, 30564, 568, 334, 2044, 628, 26299, 3974, 888, 288, 26327, 6539, 29181, 949, 2408, 2635, 693, 4332, 855, 28201, 6385, 1369, 519, 1101, 7008, 540, 2395, 630, 325, 8172, 6539, 1084, 6794, 1040, 918, 8636, 839, 609, 30564, 568, 334, 2044, 628, 26299, 3974, 786, 1020, 16562, 8598, 543, 513, 1973, 13816, 4288, 949, 581, 2838, 2059, 609, 14021, 3797, 547, 7639, 269, 918, 8636, 839, 602, 9156, 1310, 2126, 949, 581, 2451, 609, 2766, 9133, 27394, 15727, 630, 1492, 1360, 1439, 540, 519, 2766, 10523, 1055, 1916, 1692, 666, 30564, 568, 334, 2044, 628, 26299, 3974, 581, 15286, 888, 2252, 519, 1973, 2010, 540, 519, 9723, 543, 15596, 616, 1634, 267, 1287, 1022, 1761, 2042, 666, 581, 10567, 543, 14284, 269, 1403, 606, 22424, 26702, 20282, 814, 3144, 1747, 267, 519, 6539, 29181, 1058, 581, 6569, 689, 519, 15596, 1354, 29186, 1782, 543, 1688, 556, 1563, 610, 27838, 585, 519, 1101, 476, 4366, 3108, 1310, 4332, 865, 602, 789, 798, 711, 4309, 519, 15596, 779, 897, 739, 5300, 799, 3568, 12489, 269, 1403, 519, 1973, 1826, 540, 519, 6539, 29181, 568, 13761, 1310, 4332, 543, 1336, 547, 581, 519, 1482, 607, 519, 15596, 267, 1287, 519, 6539, 29181, 666, 581, 8120, 547, 519, 15596, 269, 0, 13051, 1299, 32515, 779, 8865, 5811, 12315, 519, 1686, 540, 519, 2754, 538, 519, 2013, 269, 769, 713, 1686, 596, 1058, 1865, 875, 519, 2754, 3357, 883, 519, 3510, 4843, 538, 519, 2013, 269, 286, 769, 476, 3192, 278, 267, 1079, 2828, 267, 5484, 28137, 543, 32515, 5682, 7615, 267, 4956, 789, 941, 13110, 540, 2324, 585, 2576, 3116, 543, 4941, 547, 1376, 741, 1378, 1870, 269, 1358, 3576, 513, 2947, 13362, 19359, 1576, 593, 4672, 29931, 600, 1818, 267, 10519, 539, 606, 14460, 3154, 538, 8738, 28002, 267, 28599, 267, 543, 3323, 741, 1870, 609, 606, 5092, 540, 2073, 1822, 9489, 563, 5445, 3459, 1818, 1753, 13402, 4672, 29931, 600, 538, 513, 2185, 3766, 718, 517, 3575, 518, 267, 543, 1031, 2362, 3170, 267, 782, 2067, 543, 6986, 5820, 547, 3132, 513, 21950, 543, 23704, 1587, 269, 17652, 267, 519, 1870, 2968, 3811, 538, 519, 2199, 2146, 269, 5484, 543, 32515, 779, 29275, 15538, 540, 2146, 1759, 3785, 267, 1286, 333, 2526, 2982, 267, 543, 7260, 17334, 585, 5561, 538, 519, 18736, 2603, 12462, 13051, 543, 32515, 779, 13067, 17360, 10979, 31201, 281, 18227, 519, 17030, 1325, 633, 2223, 1040, 634, 1870, 4797, 547, 4228, 267, 543, 676, 476, 2735, 271, 5484, 543, 32515, 3459, 547, 10189, 533, 842, 20695, 4672, 29931, 600, 547, 9042, 538, 519, 2199, 17365, 8637, 563, 1607, 1131, 581, 519, 4098, 540, 519, 1804, 7269, 540, 519, 1870, 563, 20751, 513, 1032, 267, 5663, 856, 326, 4319, 741, 1699, 2679, 267, 543, 4238, 1185, 547, 581, 6410, 547, 513, 2034, 3135, 269, 19833, 941, 16042, 1269, 4335, 267, 1822, 9489, 269, 634, 2754, 4797, 547, 1332, 693, 606, 3328, 540, 476, 2568, 2600, 829, 1032, 269, 769, 476, 2735, 275, 267, 519, 5484, 543, 32515, 6035, 513, 28599, 26209, 6006, 799, 6659, 1269, 16020, 267, 1822, 585, 4070, 540, 513, 1007, 4238, 3135, 538, 4826, 12064, 269, 634, 1007, 3135, 4847, 585, 513, 3152, 2504, 543, 5484, 543, 32515, 3459, 26084, 25422, 269, 1635, 476, 1960, 271, 267, 519, 2754, 729, 9513, 538, 782, 2101, 6990, 12462, 13051, 543, 32515, 779, 13067, 17360, 10979, 31201, 281, 18227, 519, 17030, 1325, 633, 2223, 1040, 769, 476, 2735, 273, 267, 32515, 5682, 7615, 4956, 547, 4734, 519, 2754, 547, 1847, 547, 14151, 563, 297, 518, 787, 5433, 519, 2754, 729, 3478, 547, 1804, 543, 791, 5966, 269, 5484, 28137, 2968, 519, 8789, 3196, 538, 519, 2754, 267, 855, 538, 476, 2735, 276, 267, 32515, 8120, 269, 5484, 3964, 634, 5484, 1299, 32515, 779, 7690, 538, 476, 2735, 276, 602, 729, 13234, 676, 5520, 269, 634, 7690, 24603, 14828, 547, 26988, 3906, 269, 634, 2754, 8329, 476, 278, 269, 476, 276, 2600, 540, 840, 2389, 1314, 12434, 547, 519, 7690, 538, 606, 4674, 547, 3666, 12434, 609, 2146, 23918, 269, 5484, 5156, 538, 968, 322, 2130, 16851, 892, 543, 4941, 547, 1832, 513, 1523, 540, 5532, 13884, 585, 519, 2754, 12462, 13051, 543, 32515, 779, 13067, 17360, 10979, 31201, 281, 18227, 519, 17030, 1325, 633, 2223, 1040, 1612, 634, 2754, 779, 2208, 4797, 547, 4228, 267, 543, 5484, 2968, 1447, 5461, 538, 519, 3344, 540, 4881, 519, 1870, 269, 12049, 968, 2419, 4815, 892, 700, 4526, 729, 21534, 538, 476, 2735, 273, 607, 2489, 9614, 267, 543, 676, 476, 2735, 277, 932, 4815, 729, 3257, 782, 519, 2359, 540, 519, 2754, 269, 5484, 3459, 547, 5469, 602, 519, 3312, 1514, 5692, 540, 519, 2754, 729, 4098, 547, 581, 4503, 1813, 547, 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, 5655, 892, 1535, 476, 11011, 5608, 476, 1001, 280, 454, 302, 660, 9222, 3163, 4741, 267, 17842, 267, 4516, 454, 1103, 11812, 540, 519, 476, 2004, 628, 16683, 540, 519, 21011, 1982, 593, 5147, 476, 736, 267, 476, 1001, 280, 661, 330, 831, 2088, 3911, 597, 2617, 320, 2813, 713, 20538, 5251, 547, 21843, 519, 15851, 2078, 602, 3425, 2919, 609, 938, 2673, 9682, 910, 519, 9855, 269, 1520, 1681, 519, 9855, 2094, 519, 4098, 540, 942, 649, 5645, 513, 21173, 5326, 540, 9683, 621, 835, 1554, 267, 799, 6368, 5949, 3368, 513, 2540, 3516, 3842, 519, 21011, 5692, 269, 589, 2241, 16264, 5251, 6273, 519, 7376, 547, 1118, 513, 4224, 4677, 563, 763, 9855, 814, 2760, 5645, 5277, 1216, 269, 8616, 519, 4408, 540, 10923, 16264, 2934, 616, 4904, 609, 12084, 543, 15798, 269, 769, 519, 16494, 4224, 4677, 540, 519, 16264, 2627, 661, 330, 831, 2088, 3091, 3270, 547, 2099, 1216, 269, 1411, 666, 1265, 2786, 18116, 540, 13735, 1216, 543, 9764, 3270, 602, 2099, 1312, 6949, 908, 6329, 543, 1835, 11596, 593, 519, 9855, 269, 634, 5070, 1031, 538, 713, 10380, 568, 606, 606, 2180, 657, 12792, 30803, 1036, 14663, 1138, 592, 656, 932, 5319, 15477, 272, 267, 2919, 676, 3744, 547, 581, 9838, 547, 519, 1570, 1336, 593, 519, 9855, 563, 763, 10380, 568, 6273, 676, 5545, 4224, 10651, 269, 11374, 519, 3652, 540, 713, 1164, 1148, 267, 713, 4677, 568, 5497, 547, 708, 10028, 519, 15982, 9759, 540, 2470, 267, 711, 922, 4890, 5920, 267, 543, 547, 4196, 607, 606, 5351, 547, 9066, 827, 519, 3020, 2495, 540, 1272, 563, 5331, 3054, 9361, 4805, 538, 519, 1034, 22471, 559, 1747, 593, 519, 9855, 267, 631, 732, 2558, 534, 638, 650, 527, 15384, 267, 519, 13941, 3135, 540, 21011, 476, 1556, 269, 27297, 713, 4224, 4677, 269, 13772, 519, 10007, 267, 9361, 1851, 596, 5163, 1652, 585, 6634, 540, 1296, 267, 1152, 519, 18116, 540, 16494, 1216, 7444, 1847, 1472, 873, 267, 543, 596, 269, 6056, 540, 1272, 543, 922, 3020, 2495, 269, 12344, 538, 519, 16264, 4478, 1141, 1272, 568, 11613, 7543, 1813, 547, 519, 3668, 540, 5277, 1216, 267, 5214, 2339, 543, 1272, 5885, 2175, 267, 596, 786, 2097, 547, 519, 2626, 540, 519, 3020, 2495, 540, 1272, 269, 0, 1103, 1840, 267, 1514, 2923, 5867, 723, 1831, 5393, 3222, 540, 741, 3755, 543, 2445, 1344, 827, 741, 13588, 547, 1921, 609, 873, 538, 1585, 2081, 269, 4317, 5991, 564, 11529, 3896, 9365, 5549, 269, 568, 23900, 2324, 593, 513, 1007, 10229, 1062, 602, 1131, 1577, 2344, 619, 3077, 3755, 609, 18537, 1759, 593, 519, 7372, 5666, 540, 1344, 1004, 7866, 593, 519, 3135, 827, 2933, 269, 901, 949, 581, 606, 30907, 610, 5683, 4183, 547, 930, 2043, 269, 2368, 1004, 949, 2746, 11874, 1317, 789, 3494, 621, 568, 606, 12289, 540, 7834, 269, 2201, 519, 824, 1688, 267, 930, 2043, 949, 2972, 713, 4183, 1317, 741, 1514, 3060, 17767, 741, 4690, 543, 15920, 873, 1880, 22099, 17640, 547, 1346, 4690, 269, 3117, 28366, 899, 547, 3060, 609, 1004, 945, 723, 4690, 543, 13821, 602, 616, 2147, 547, 741, 1378, 269, 15706, 945, 3858, 547, 723, 741, 1514, 2923, 9043, 1857, 267, 1058, 581, 3222, 602, 6994, 23924, 723, 519, 2702, 547, 1491, 1344, 602, 4690, 873, 547, 581, 2111, 547, 6494, 873, 1344, 543, 22099, 547, 5818, 741, 6455, 269, 2494, 6162, 1902, 538, 1514, 2923, 547, 6536, 3347, 543, 2170, 609, 5561, 269, 901, 568, 606, 5683, 1259, 585, 9946, 547, 6494, 6835, 827, 741, 22099, 543, 2472, 547, 741, 6800, 563, 5415, 982, 1614, 5479, 1004, 538, 519, 1158, 616, 3742, 593, 519, 5769, 269, 3683, 519, 1296, 267, 519, 5769, 814, 16111, 6591, 811, 543, 811, 3755, 267, 17259, 689, 476, 278, 4343, 2929, 538, 476, 1220, 271, 782, 519, 1259, 547, 476, 274, 269, 273, 5479, 538, 476, 1001, 276, 269, 681, 5699, 476, 10037, 260, 540, 519, 1699, 2551, 538, 519, 2136, 2276, 814, 930, 1826, 540, 1514, 2923, 9043, 602, 789, 4497, 609, 4749, 269, 16353, 6049, 6165, 568, 6225, 585, 1514, 2923, 6725, 1317, 540, 741, 1357, 19855, 7207, 799, 1450, 2043, 7525, 1569, 547, 1514, 13033, 4609, 269, 16353, 11436, 723, 12012, 519, 2619, 3562, 1790, 21332, 1184, 676, 3850, 6800, 547, 3362, 3489, 14499, 543, 1587, 1344, 538, 1483, 942, 269, 1358, 723, 849, 4847, 3549, 547, 7683, 7618, 543, 9337, 741, 13794, 269, 3509, 3549, 616, 1631, 8380, 30040, 630, 30022, 15863, 264, 9479, 2059, 609, 2472, 585, 2043, 547, 1569, 519, 2754, 3896, 610, 2228, 2533, 609, 741, 5100, 11436, 269, 4825, 841, 619, 946, 30040, 9479, 547, 7520, 7082, 5872, 609, 12478, 676, 16046, 519, 3009, 547, 6216, 7270, 267, 3260, 687, 267, 1587, 1344, 267, 543, 1022, 824, 5985, 10276, 12574, 1543, 269, 769, 1840, 267, 7464, 6066, 536, 27570, 946, 538, 519, 5985, 10229, 2872, 568, 1164, 543, 8375, 1813, 547, 922, 1871, 585, 593, 7308, 30559, 1357, 19855, 269, 769, 476, 1001, 273, 267, 715, 1410, 720, 267, 513, 8502, 540, 1483, 942, 536, 27570, 538, 5985, 10229, 4080, 513, 476, 4391, 260, 2333, 538, 8907, 1142, 3923, 269, 1520, 325, 4577, 267, 1776, 5985, 29275, 13629, 3760, 267, 4080, 606, 2333, 540, 476, 2420, 5479, 740, 13668, 602, 1482, 1032, 563, 16446, 9016, 267, 610, 2147, 1514, 2923, 5867, 971, 607, 853, 18443, 16270, 610, 6226, 326, 267, 616, 4998, 585, 4687, 8903, 1543, 269, 2060, 936, 476, 273, 5479, 2985, 5784, 513, 3923, 267, 23749, 814, 6909, 1514, 2923, 6725, 1761, 267, 855, 2344, 619, 1058, 581, 19230, 602, 1152, 5963, 2189, 267, 4277, 1543, 786, 581, 20888, 269, 5403, 532, 593, 23749, 568, 4730, 609, 3595, 1765, 11357, 2466, 838, 20632, 610, 16765, 569, 6455, 25700, 1543, 543, 707, 1870, 1223, 1205, 10874, 730, 676, 713, 5393, 10509, 1606, 822, 11803, 2146, 563, 5194, 851, 540, 590, 4932, 568, 1514, 2923, 6725, 630, 306, 12613, 1040, 590, 12613, 568, 513, 1826, 540, 6725, 602, 3322, 29227, 1514, 2923, 547, 3310, 6800, 602, 835, 2754, 779, 2472, 543, 5924, 2533, 616, 3407, 269, 2368, 540, 519, 5767, 7811, 8441, 1331, 3406, 2599, 6725, 2359, 630, 306, 4932, 300, 1040, 590, 4932, 300, 12211, 547, 2238, 1519, 22048, 855, 6212, 593, 2132, 593, 5092, 630, 4629, 296, 264, 2359, 3079, 540, 4143, 6808, 2679, 630, 553, 568, 519, 2013, 540, 13416, 22048, 1040, 590, 4932, 300, 849, 26779, 5214, 22048, 267, 3843, 547, 3035, 1283, 20823, 1510, 1210, 6976, 1797, 547, 3035, 621, 267, 543, 2628, 829, 4945, 22048, 269, 1280, 1383, 267, 930, 540, 519, 3007, 568, 5116, 593, 519, 1357, 2985, 11768, 1374, 543, 875, 1543, 543, 1344, 568, 10268, 547, 519, 3896, 21233, 269, 22048, 1299, 590, 4932, 616, 1079, 22225, 540, 835, 6725, 2816, 543, 789, 1312, 2196, 2427, 676, 2427, 547, 3132, 1454, 1732, 2164, 982, 2519, 593, 1152, 835, 30361, 563, 2537, 338, 333, 2355, 2549, 1731, 636, 340, 513, 301, 984, 4512, 7489, 288, 557, 9105, 8807, 332, 14068, 5622, 1849, 334, 984, 7261, 16447, 4144, 23159, 19537, 1872, 22044, 7456, 341, 11875, 334, 9365, 674, 2293, 13645, 18637, 28982, 19743, 276, 31209, 5600, 4820, 344, 16740, 6390, 17749, 594, 28566, 309, 594, 13612, 8566, 718, 4997, 3223, 2131, 14970, 22711, 5020, 330, 2254, 24522, 518, 291, 727, 3057, 1723, 2717, 334, 631, 770, 31788, 20821, 9288, 20821, 1575, 23183, 641, 2967, 2890, 269, 24108, 9650, 338, 17186, 30531, 17186, 328, 631, 903, 10628, 3733, 2622, 715, 553, 5633, 268, 9383, 14505, 269, 680, 8921, 21830, 15528, 269, 745, 3474, 2401, 11202, 3212, 778, 3131, 4593, 2100, 26964, 623, 1460, 6339, 1773, 24642, 1627, 29773, 3367, 613, 2131, 11412, 1066, 31291, 1284, 756, 334, 22391, 569, 10965, 777, 23298, 19301, 8582, 28805, 9335, 5158, 2289, 328, 309, 313, 4210, 1301, 22105, 3022, 570, 2130, 320, 256, 21281, 9549, 7991, 28607, 27717, 570, 5407, 570, 719, 16515, 11230, 7641, 5384, 570, 3518, 331, 337, 12108, 772, 660, 1952, 323, 966, 3266, 966, 298, 1733, 529, 704, 2473, 18553, 962, 334, 454, 12892, 2923, 6725, 568, 513, 3532, 1259, 585, 4213, 540, 782, 7306, 547, 3914, 16548, 543, 5561, 269, 2659, 5561, 616, 2907, 15025, 609, 12478, 998, 1514, 2923, 267, 543, 952, 596, 2811, 711, 6340, 2047, 547, 707, 5304, 998, 1514, 5867, 899, 9365, 267, 12108, 267, 17749, 267, 543, 26964, 267, 596, 2811, 7508, 856, 256, 4279, 6725, 593, 1514, 2923, 666, 3142, 7415, 1967, 547, 707, 1870, 267, 2870, 13991, 6216, 15156, 543, 1256, 6117, 5012, 543, 6455, 563, 9743, 8183, 814, 8810, 3294, 513, 3532, 3760, 585, 2344, 619, 547, 3914, 741, 5561, 543, 16548, 998, 4687, 5961, 543, 5618, 6835, 269, 4340, 547, 513, 1353, 676, 15439, 2725, 25979, 267, 476, 10170, 260, 540, 519, 1158, 781, 4102, 12478, 616, 1631, 1210, 17749, 607, 513, 6725, 8756, 269, 1280, 3549, 267, 17749, 666, 581, 1031, 607, 513, 1907, 547, 1921, 543, 5968, 609, 1699, 543, 1761, 5561, 269, 634, 2754, 666, 1459, 513, 811, 2123, 4605, 540, 741, 6216, 267, 543, 676, 3257, 865, 519, 2754, 27711, 513, 1732, 543, 3020, 4605, 540, 3294, 269, 634, 2856, 540, 17749, 5961, 6013, 593, 593, 7308, 30559, 267, 513, 2631, 602, 519, 2680, 568, 8345, 1318, 1631, 267, 543, 602, 8591, 1776, 4494, 547, 519, 2123, 543, 4977, 4605, 540, 519, 2754, 269, 769, 1249, 267, 7338, 24419, 514, 267, 1071, 1922, 10133, 543, 16628, 540, 519, 1982, 667, 1662, 23747, 267, 7150, 602, 950, 646, 1237, 1407, 513, 5816, 3455, 781, 17749, 2022, 1354, 621, 568, 11540, 593, 519, 15773, 540, 513, 6216, 1010, 2754, 4564, 267, 1010, 1152, 2942, 5955, 568, 952, 621, 5654, 1932, 15054, 269, 834, 2005, 781, 711, 606, 21107, 8666, 2437, 646, 6045, 267, 834, 2171, 2811, 711, 3843, 547, 581, 513, 12139, 269, 1284, 2811, 3843, 547, 1711, 513, 4090, 1701, 6271, 4781, 17749, 2488, 519, 4316, 585, 3549, 547, 2992, 513, 3020, 4605, 540, 519, 6216, 5228, 519, 5133, 540, 519, 5561, 267, 585, 3236, 267, 1210, 519, 3593, 24378, 9115, 2219, 519, 814, 6255, 4711, 19015, 269, 4033, 982, 519, 12086, 543, 814, 6255, 4711, 3252, 267, 519, 17749, 781, 476, 1428, 29364, 7044, 543, 519, 5063, 3773, 2702, 547, 6494, 4357, 6835, 1063, 3755, 723, 8118, 1007, 3255, 585, 12478, 547, 1921, 609, 5561, 538, 513, 1007, 6708, 267, 2417, 5009, 2500, 6725, 593, 17749, 563, 22913, 7580, 6725, 2035, 543, 2645, 547, 2232, 6216, 2792, 538, 513, 3059, 1158, 269, 901, 7981, 1436, 7710, 1896, 3344, 540, 519, 1007, 3059, 6725, 1604, 267, 1519, 3584, 971, 607, 3059, 6725, 12642, 267, 3406, 2599, 11938, 267, 1514, 2923, 6725, 267, 543, 476, 274, 291, 24614, 269, 1879, 596, 2347, 519, 7913, 16373, 7981, 1436, 596, 786, 723, 513, 21950, 1620, 540, 519, 13210, 540, 519, 1007, 3059, 6725, 5251, 543, 10536, 513, 1007, 1305, 540, 2984, 267, 2035, 267, 543, 2645, 547, 948, 596, 25274, 1711, 267, 15814, 267, 3895, 543, 3902, 2472, 543, 2533, 269, 769, 476, 1001, 277, 267, 713, 729, 835, 540, 519, 1283, 476, 1015, 2027, 3074, 538, 2474, 540, 18934, 906, 269, 5442, 290, 18225, 15951, 519, 1101, 1576, 267, 16373, 538, 513, 7913, 2622, 267, 607, 835, 540, 634, 476, 1015, 670, 27796, 6732, 26643, 585, 28968, 538, 476, 1001, 276, 269, 769, 1840, 267, 713, 1576, 729, 849, 19486, 538, 519, 1283, 2947, 6030, 2066, 2789, 17834, 8016, 7426, 269, 7053, 267, 519, 7913, 16373, 25890, 729, 519, 1283, 524, 913, 1540, 15149, 593, 595, 2293, 5028, 538, 476, 1001, 276, 269, 5192, 811, 10311, 593, 519, 29286, 693, 5291, 2517, 21745, 1388, 5658, 7566, 2889, 12028, 2593, 270, 901, 7981, 1436, 568, 851, 540, 519, 2160, 540, 13325, 27587, 540, 6355, 10029, 4110, 1982, 267, 519, 1775, 300, 10621, 269, 6258, 811, 827, 519, 16075, 883, 519, 1982, 1934, 563, 8253, 1169, 2582, 740, 786, 2408, 593, 1169, 2582, 3406, 269, 901, 568, 1317, 519, 740, 25488, 3217, 513, 3099, 540, 2188, 883, 2272, 950, 8159, 519, 13307, 540, 18537, 593, 519, 590, 2207, 303, 267, 543, 1317, 711, 1169, 20438, 814, 6190, 5010, 8247, 547, 17854, 18071, 18537, 1985, 547, 2164, 269, 1717, 267, 519, 1079, 1292, 2188, 602, 5616, 27786, 607, 851, 540, 519, 740, 25488, 1184, 616, 707, 5021, 19915, 543, 519, 10866, 24143, 540, 707, 18537, 563, 14937, 11058, 22048, 8942, 547, 2087 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2999, 11417, 25215, 2945, 269, 2237, 6025, 272, 269, 2414, 21803, 3890, 1341, 834, 568, 3436, 982, 834, 1341, 512, 273, 269, 2414, 21803, 3890, 11850, 736, 1547, 1215, 1677, 960, 609, 5384, 306, 3966, 4147, 888, 14630, 11742, 740, 622, 815, 11261, 11742, 10422, 12838, 2891, 6187, 270, 2190, 270, 1220, 274, 8442, 3248, 14630, 11742, 536, 11845, 815, 11261, 11742, 10422, 12838, 2891, 6187, 270, 2764, 270, 1220, 274, 8442, 3248, 11742, 306, 3966, 512, 338, 815, 1007, 5384, 306, 3966, 630, 321, 11845, 11053, 6506, 910, 740, 622, 11053, 6506, 11850, 25215, 2945, 269, 2237, 263, 1206, 11053, 4973, 291, 904, 269, 2414, 21803, 20465, 1341, 27029, 25215, 2945, 269, 2237, 263, 1206, 11053, 4973, 295, 2293, 269, 2414, 21803, 3890, 1341, 834, 281, 257, 1341, 512, 338, 11053, 4973, 14737, 2373, 269, 2414, 21803, 3890, 1341, 834, 281, 257, 1341, 512, 338, 11053, 4973, 5353, 6948, 269, 2414, 21803, 3890, 1341, 834, 281, 257, 1341, 512, 338, 11053, 4973, 27908, 1047, 6948, 269, 2414, 21803, 3890, 3738, 3248, 2641, 1547, 7316, 666, 594, 1205, 1344, 593, 13648, 625, 538, 6789, 303, 12991, 4953, 888, 8269, 518, 19375, 15352, 781, 2376, 17943, 540, 13648, 625, 538, 6789, 303, 12991, 4953, 454, 2420, 1547, 6496, 6789, 303, 12991, 564, 1869, 5431, 519, 2518, 269, 14505, 3758, 888, 3008, 303, 12991, 564, 1281, 711, 5431, 519, 3044, 6789, 303, 2518, 269, 14505, 3758, 269, 5502, 621, 3096, 513, 3758, 3957, 2518, 269, 553, 1314, 609, 519, 1482, 910, 7132, 3606, 910, 10342, 563, 2537, 1547, 1215, 1058, 594, 6861, 1250, 3615, 538, 6789, 303, 12991, 564, 888, 3008, 303, 12991, 564, 2965, 814, 1360, 4396, 4835, 20203, 4015, 269, 1924, 713, 568, 711, 606, 3390, 607, 621, 729, 538, 3105, 8747, 540, 15765, 18218, 9664, 563, 29791, 547, 811, 1344, 912, 2190, 1547, 3657, 972, 2200, 2228, 609, 4388, 593, 6789, 303, 547, 6789, 303, 12991, 564, 24740, 888, 19859, 7809, 814, 632, 529, 978, 539, 634, 6789, 303, 547, 6789, 303, 12991, 4953, 24779, 19608, 948, 721, 6460, 6789, 303, 3817, 543, 3156, 547, 6789, 303, 12991, 4953, 269, 898, 1281, 711, 1118, 519, 7503, 1184, 4625, 13128, 267, 855, 621, 786, 3432, 909, 1788, 676, 3678, 908, 930, 540, 519, 3268, 2838, 585, 9194, 563, 763, 1739, 8943, 24779, 32113, 1218, 616, 5941, 538, 519, 3095, 2630, 563, 265, 6789, 303, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 265, 23285, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 265, 808, 9915, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 8269, 518, 20353, 7992, 547, 6789, 303, 12991, 564, 454, 265, 9786, 781, 6789, 303, 547, 6789, 303, 12991, 4953, 8943, 24779, 19608, 454, 265, 3627, 8891, 3205, 781, 2376, 9786, 781, 6789, 303, 547, 6789, 303, 12991, 4953, 24779, 19608, 454, 265, 14529, 23383, 28533, 821, 781, 2376, 3245, 6789, 303, 547, 6789, 303, 12991, 4953, 1862, 10266, 8393, 2336, 1839, 1547, 1215, 798, 594, 15476, 1250, 6789, 303, 12991, 4953, 3498, 547, 1250, 4959, 303, 781, 1357, 7746, 888, 7312, 4959, 303, 1590, 1101, 1711, 606, 594, 3041, 3498, 543, 4019, 519, 13571, 8525, 18218, 6987, 5014, 547, 621, 269, 3973, 538, 10439, 22456, 1547, 25892, 267, 2824, 519, 834, 19061, 1923, 25767, 5741, 257, 10624, 269, 3973, 4283, 519, 15745, 543, 2824, 519, 13571, 17273, 1357, 1569, 1505, 269, 634, 834, 290, 4878, 5741, 257, 4183, 12215, 782, 540, 519, 2556, 6119, 547, 707, 4959, 303, 781, 3684, 585, 707, 6789, 303, 12991, 4953, 3498, 547, 2196, 563, 2791, 666, 849, 674, 9143, 707, 6119, 547, 707, 4959, 303, 1357, 7746, 269, 1809, 596, 1590, 917, 799, 6119, 547, 14202, 269, 1280, 811, 3877, 3277, 11553, 289, 281, 22647, 6789, 303, 12991, 4953, 18768, 18859, 594, 3041, 593, 519, 1849, 1304, 8950, 610, 13571, 17273, 18218, 6987, 5014, 593, 519, 18218, 8950, 454, 2918, 1547, 4208, 798, 1775, 1205, 5470, 5048, 834, 27745, 711, 4452, 1826, 257, 8164, 594, 19584, 547, 1250, 6789, 303, 12991, 4953, 1357, 3135, 888, 7312, 3009, 1532, 12317, 785, 6119, 585, 2901, 707, 1547, 5684, 343, 610, 519, 2518, 269, 5684, 343, 2985, 723, 711, 1044, 5360, 1221, 269, 2422, 10439, 22456, 1547, 25892, 781, 834, 30395, 1923, 12706, 8827, 257, 10624, 267, 610, 2196, 519, 4971, 1899, 29085, 563, 2690, 811, 3877, 3277, 11553, 289, 281, 834, 27745, 711, 4452, 1826, 257, 5470, 5048, 950, 596, 19584, 547, 1547, 5684, 343, 2985, 454, 2767, 1547, 4024, 519, 5680, 30467, 590, 27942, 10574, 13126, 6944, 1503, 960, 609, 513, 3733, 21415, 4276, 888, 306, 27942, 10574, 13126, 6944, 1503, 13071, 596, 1921, 543, 960, 609, 9049, 14069, 24766, 267, 1247, 7457, 10574, 13126, 6944, 1503, 798, 519, 1482, 3364, 855, 585, 9049, 7457, 24766, 269, 4475, 590, 27942, 10574, 13126, 6944, 1503, 666, 1405, 948, 596, 538, 707, 3733, 306, 27942, 14479, 4586, 2690, 4045, 2032, 609, 3733, 306, 27942, 3277, 7457, 532, 3733, 21415, 18482, 609, 6789, 303, 12991, 4953, 454, 2764, 1547, 2052, 594, 9192, 5929, 6789, 303, 543, 6789, 303, 12991, 4953, 3817, 888, 3008, 303, 3817, 666, 2196, 538, 519, 1482, 3135, 607, 6789, 303, 12991, 4953, 3817, 267, 855, 596, 666, 1405, 3575, 538, 513, 2985, 269, 4746, 6789, 303, 543, 6789, 303, 12991, 4953, 4465, 1405, 2671, 741, 8400, 563, 3066, 1547, 1548, 568, 519, 3017, 1063, 521, 21683, 543, 8943, 5174, 12317, 785, 888, 306, 21683, 14487, 1797, 596, 11766, 519, 2707, 3009, 6119, 543, 3388, 568, 16432, 808, 3951, 630, 3286, 2987, 6066, 264, 607, 2877, 269, 3509, 1004, 4782, 713, 2094, 789, 1810, 1405, 723, 547, 16924, 5855, 827, 735, 4979, 543, 3190, 532, 609, 546, 961, 338, 4534, 621, 1175, 1568, 269, 2986, 1576, 267, 519, 2707, 568, 1631, 593, 519, 7746, 267, 585, 4896, 609, 1569, 547, 519, 7746, 4534, 855, 711, 1175, 4896, 593, 519, 1357, 563, 24927, 6826, 16442, 14487, 3085, 1405, 2731, 834, 4777, 257, 4376, 267, 922, 1175, 513, 25961, 585, 966, 306, 12991, 4953, 547, 12314, 519, 3009, 3758, 609, 519, 607, 29210, 3758, 269, 901, 568, 2556, 2094, 966, 306, 12991, 4953, 3678, 919, 519, 840, 16327, 4979, 602, 568, 9875, 676, 1688, 267, 543, 4061, 519, 590, 21683, 14487, 568, 849, 8854, 269, 3767, 972, 568, 1152, 513, 546, 961, 547, 11766, 267, 1100, 2707, 267, 865, 621, 568, 6157, 1732, 6870, 267, 4352, 922, 2141, 10920, 335, 559, 762, 1256, 1287, 563, 1789, 1547, 1215, 666, 594, 1205, 519, 1871, 540, 3403, 4216, 609, 1826, 6456, 538, 3009, 1532, 12317, 785, 888, 2791, 666, 1305, 519, 2196, 520, 284, 7746, 585, 519, 6456, 1852, 543, 596, 666, 946, 6513, 11243, 269, 19368, 547, 1205, 922, 1871, 538, 8943, 6826, 16442, 3758, 454, 4029, 1547, 594, 723, 2813, 513, 1547, 25892, 3593, 1852, 2985, 30285, 2444, 343, 264, 855, 594, 3112, 29289, 543, 2196, 621, 563, 27165, 1852, 630, 2444, 343, 264, 666, 1405, 581, 2196, 593, 621, 1378, 267, 855, 596, 666, 8749, 621, 5196, 1022, 1357, 2985, 630, 5684, 343, 264, 543, 1287, 2196, 621, 563, 3953, 1547, 1548, 568, 513, 1547, 637, 343, 3758, 888, 763, 1547, 637, 343, 4199, 3758, 3898, 5161, 540, 24701, 13366, 267, 799, 14574, 3615, 543, 12673, 3330, 24701, 16776, 269, 901, 568, 3730, 585, 31338, 269, 1280, 811, 3877, 3277, 8249, 538, 1547, 637, 343, 6119, 454, 3451, 1547, 1772, 621, 2009, 547, 946, 513, 2511, 6656, 1362, 2047, 593, 513, 1852, 3079, 540, 1210, 538, 1467, 610, 2985, 7400, 11249, 15017, 9336, 5680, 6944, 1503, 6508, 1852, 814, 513, 595, 1087, 12218, 3959, 799, 2636, 596, 547, 1305, 621, 781, 3898, 547, 513, 2511, 6656, 563, 4097, 1547, 2052, 594, 973, 10079, 1312, 14103, 1665, 1575, 585, 2985, 543, 3009, 538, 519, 6789, 303, 12991, 4953, 1357, 2985, 781, 2707, 3009, 6712, 538, 519, 5680, 11422, 888, 5591, 269, 634, 5680, 11422, 973, 773, 1407, 1152, 14103, 1665, 1575, 563, 5591, 2707, 3009, 610, 1357, 1852, 16105, 568, 5293, 1394, 547, 519, 1357, 11422, 563, 3374, 1547, 4208, 666, 1405, 594, 2322, 1141, 693, 519, 1283, 540, 606, 6789, 303, 311, 3758, 543, 2328, 1250, 7746, 20933, 20072, 538, 595, 15017, 763, 16163, 619, 6789, 303, 12991, 4953, 3096, 547, 1349, 3009, 689, 6789, 303, 311, 6119, 1174, 595, 258, 267, 10439, 9978, 12991, 4953, 267, 543, 23404, 5296, 12991, 4953, 269, 1411, 666, 2328, 7746, 20933, 20072, 538, 1022, 1893, 6462, 676, 513, 1547, 25892, 29085, 563, 3607, 1547, 6789, 303, 3817, 602, 5249, 890, 2739, 569, 593, 8837, 476, 1220, 271, 18218, 543, 594, 3041, 476, 276, 269, 271, 798, 711, 960, 593, 8837, 476, 1220, 274, 18218, 609, 594, 3041, 476, 277, 269, 271, 269, 6789, 303, 12991, 4953, 3817, 960, 5386, 269, 4208, 888, 9359, 9847, 23994, 9847, 6513, 19937, 9847, 8556, 13577, 13088, 9847, 543, 5595, 14467, 594, 3041, 15440, 563, 7883, 547, 519, 5680, 6796, 6987, 5014, 9184, 267, 4945, 15765, 18218, 9664, 267, 1287, 2046, 519, 834, 2704, 869, 257, 7735, 593, 519, 2451, 454, 4391, 1547, 4208, 798, 594, 1205, 5470, 5048, 834, 13286, 2870, 10198, 8915, 281, 18438, 2542, 1883, 3758, 1412, 4486, 4732, 333, 330, 262, 4534, 634, 1062, 3112, 1265, 519, 3758, 9138, 257, 888, 13425, 519, 4087, 540, 519, 1883, 4732, 333, 330, 3758, 3448, 547, 519, 10198, 3758, 269, 3629, 606, 8763, 2619, 610, 513, 3448, 2619, 563, 4343, 1547, 1215, 547, 1205, 15745, 1510, 13214, 11415, 888, 11415, 5569, 308, 686, 815, 834, 10674, 2517, 4178, 269, 27675, 22396, 4288, 2593, 270, 286, 573, 284, 272, 261, 879, 573, 284, 1626, 257, 3248, 308, 686, 1357, 19441, 815, 1007, 772, 686, 30415, 308, 686, 11850, 11415, 13214, 815, 1357, 19441, 269, 5226, 2044, 3248, 11415, 1357, 14766, 815, 5569, 308, 686, 2529, 889, 11415, 263, 271, 267, 5569, 308, 686, 11482, 2654, 910, 13214, 11482, 2654, 11850, 4375, 1547, 1548, 568, 519, 1655, 1259, 547, 3977, 1152, 942, 543, 711, 11261, 888, 8196, 11261, 11742, 607, 5205, 454, 2412, 1547, 1684, 594, 723, 547, 29289, 3009, 952, 594, 993, 4657, 519, 1543, 540, 1250, 607, 29210, 6983, 338, 3758, 888, 8133, 952, 596, 723, 1031, 8943, 2041, 16442, 6889, 3240, 269, 5684, 343, 6983, 338, 8487, 8253, 952, 596, 1031, 521, 21683, 6889, 3240, 269, 5684, 343, 6983, 338, 257, 538, 707, 2985, 17083, 563, 6078, 1547, 1215, 547, 10544, 519, 13288, 15745, 888, 25215, 2945, 269, 2237, 630, 32369, 269, 21589, 331, 8269, 518, 17243, 269, 2414, 21803, 3890, 5148, 0, 25889, 281, 634, 6532, 910, 4362, 676, 18332, 23333, 9331, 289, 4785, 538, 476, 14983, 275, 910, 729, 12306, 676, 519, 5053, 2038, 538, 519, 476, 1626, 628, 2540, 269, 634, 5065, 570, 664, 334, 12075, 267, 945, 1185, 20948, 25706, 585, 5553, 267, 941, 7930, 608, 32558, 730, 543, 8719, 676, 3979, 10437, 269, 4789, 25868, 519, 6532, 538, 476, 13679, 276, 543, 3964, 513, 24873, 4346, 1759, 593, 4006, 267, 23342, 267, 543, 6995, 269, 634, 20552, 540, 8474, 538, 476, 8146, 275, 15685, 513, 10116, 2929, 10437, 267, 1082, 540, 7247, 2968, 1507, 6705, 269, 25706, 7930, 5833, 2810, 7115, 689, 6628, 269, 769, 476, 4198, 279, 621, 8678, 824, 3703, 12144, 10125, 538, 8108, 519, 18966, 540, 519, 4639, 28851, 269, 25706, 6591, 2407, 7115, 950, 621, 24013, 4319, 689, 519, 18966, 538, 476, 3422, 273, 269, 667, 2678, 1640, 908, 2804, 2175, 1282, 519, 476, 3192, 271, 338, 3366, 547, 20443, 5208, 607, 15180, 14228, 338, 28337, 609, 519, 2101, 2797, 6105, 7960, 883, 3532, 6896, 6760, 5121, 3238, 538, 3486, 3075, 1159, 10212, 1782, 543, 2724, 561, 879, 837, 532, 269, 15329, 550, 6760, 267, 3075, 19338, 267, 543, 6710, 10460, 1713, 2591, 547, 519, 2229, 2221, 269, 16480, 267, 1082, 6917, 543, 18992, 2127, 2611, 5266, 2922, 543, 3565, 15186, 547, 519, 4346, 563, 19613, 281, 12144, 267, 6532, 538, 519, 12144, 7256, 267, 5045, 540, 18010, 454, 22704, 2244, 281, 476, 1015, 267, 279, 4029, 13483, 5998, 454, 22704, 1216, 281, 476, 8182, 13483, 5998, 454, 10870, 770, 1467, 281, 476, 272, 267, 28873, 5998, 454, 15575, 787, 2012, 6671, 1279, 1106, 281, 9039, 454, 15575, 787, 2012, 6671, 2110, 1106, 281, 25706, 454, 15575, 787, 2012, 5449, 281, 9039, 454, 16954, 1637, 281, 476, 273, 267, 279, 6924, 267, 23884, 630, 20809, 476, 1001, 272, 1609, 8094, 21848, 2497, 281, 476, 271, 268 ]

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

[ 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 6112, 13750, 618, 20298, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 22091, 11306, 14052, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 8063, 906, 14052, 453, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 6112, 13750, 618, 262, 10142, 22592, 1684, 4311, 8029, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 4777, 13750, 618, 20298, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 14851, 1412, 9538, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 19677, 269, 2750, 16054, 14052, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 4777, 13750, 618, 262, 10142, 22592, 17776, 4311, 8029, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 8873, 13750, 618, 20298, 453, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 14851, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 2652, 1412, 282, 262, 6769, 4848, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 14052, 453, 28432, 6769, 4848, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 8873, 13750, 618, 20298, 5897, 22592, 2913, 4311, 8029, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 2280, 13750, 618, 20298, 453, 19677, 6230, 913, 318, 273, 1467, 14052, 453, 14851, 1412, 9131, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 4848, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 22091, 11306, 14052, 453, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 2280, 13750, 618, 20298, 24653, 22592, 20309, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 13038, 7215, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 453, 453, 2750, 16054, 8266, 1341, 4082, 1341, 630, 10339, 1833, 8266, 3418, 453, 476, 453, 18257, 1477, 453, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 10339, 1833, 8266, 20298, 453, 14851, 1412, 264, 262, 538, 476, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 10339, 1833, 8266, 20298, 4848, 16596, 1477, 453, 28432, 6769, 4848, 19677, 269, 22091, 11306, 14052, 4848, 453, 6112, 1412, 10086, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 15235, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 15235, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 318, 29148, 3488, 10339, 1833, 8266, 262, 10142, 22592, 25285, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 2582, 4082, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 567, 453, 453, 10339, 1833, 23444, 23444, 266, 10339, 1833, 3418, 567, 453, 453, 18257, 1477, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 10339, 1833, 20298, 453, 19677, 269, 10339, 11306, 13900, 704, 14052, 453, 453, 6112, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 538, 18011, 266, 3299, 21029, 3299, 24003, 3299, 23367, 12887, 261, 2086, 282, 12887, 261, 2741, 282, 12887, 261, 25885, 282, 12887, 284, 12887, 347, 262, 8029, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 4848, 19677, 269, 10339, 11306, 13900, 704, 14052, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 10339, 1833, 262, 10142, 22592, 7215, 13900, 704, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 3559, 704, 1599, 602, 20362, 1114, 2474, 538, 606, 4082, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 4848, 453, 272, 9538, 3488, 2433, 5236, 376, 486, 266, 10339, 1833, 266, 24724, 1477, 4848, 453, 273, 269, 8339, 9166, 476, 453, 1211, 8595, 266, 1547, 1341, 1016, 709, 339, 710, 1341, 630, 1341, 4082, 8266, 1341, 476, 3418, 4848, 453, 274, 9538, 268, 262, 543, 1412, 349, 9166, 910, 610, 9625, 1776, 2165, 1477, 4848, 453, 275, 9538, 9131, 281, 453, 1211, 8595, 266, 314, 10339, 11306, 316, 567, 1477, 4848, 453, 276, 9538, 29602, 630, 9166, 476, 453, 1211, 8595, 1341, 5236, 376, 486, 266, 10339, 1833, 266, 24724, 1477, 453, 453, 18257, 1477, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 3410, 20298, 453, 14851, 1412, 3488, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 23785, 1582, 6230, 913, 318, 517, 3890, 567, 453, 1477, 4848, 19677, 269, 22091, 11306, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 31476, 453, 453, 19197, 1412, 9538, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 273, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 269, 2750, 16054, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 14052, 5897, 453, 453, 19197, 25023, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 610, 1412, 349, 262, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 6769, 4848, 19677, 269, 637, 23785, 1582, 6230, 913, 318, 517, 3890, 476, 12361, 910, 610, 9625, 1477, 4848, 19677, 269, 10339, 11306, 13900, 704, 31476, 453, 453, 19197, 1412, 9131, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 273, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 269, 22091, 11306, 3890, 21506, 4848, 19677, 269, 637, 23785, 1345, 6230, 913, 318, 517, 31476, 453, 453, 19197, 1412, 3488, 538, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 273, 6012, 272, 316, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 19677, 269, 2750, 16054, 14052, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 31476, 453, 453, 19197, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 711, 538, 1496, 8339, 12887, 263, 12887, 268, 12887, 314, 12887, 349, 11172, 6769, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 3890, 453, 5897, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 3410, 20298, 5897, 22592, 6724, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 2789, 6724, 1477, 453, 453, 1478, 337, 718, 3898, 6769, 453, 453, 6943, 266, 12534, 11243, 1341, 263, 267, 1341, 1826, 266, 15254, 11243, 3418, 453, 453, 18257, 1477, 453, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 3488, 12407, 2678, 8266, 20298, 453, 14851, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 11203, 1412, 264, 262, 6769, 4848, 19677, 6230, 913, 318, 273, 1467, 14052, 4848, 453, 6112, 18351, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 2652, 1412, 10086, 6769, 15235, 19677, 6230, 913, 318, 274, 1467, 14052, 4848, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 12407, 2678, 8266, 20298, 4848, 16596, 1477, 453, 28432, 6769, 4848, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 12407, 2678, 8266, 20298, 4848, 16596, 24653, 22592, 15254, 13356, 4311, 8029, 453, 453, 18257, 1477, 453, 453, 10818, 602, 20362, 11979, 610, 2361, 4756, 1477, 453, 453, 1478, 718, 3898, 6769, 453, 453, 263, 18878, 270, 7615, 1341, 1826, 1341, 15254, 11243, 1341, 263, 267, 266, 12534, 11243, 11924, 282, 1477, 453, 453, 18257, 1477, 453, 453, 31184, 815, 1582, 6745, 7505, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 15947, 453, 14851, 10917, 538, 18011, 18878, 12887, 7615, 262, 8029, 4848, 19677, 269, 637, 23785, 1345, 22182, 4671, 698, 3488, 5035, 309, 541, 13356, 20298, 4848, 19677, 6230, 913, 318, 274, 1467, 14052, 4848, 453, 6112, 18351, 314, 1345, 6983, 3300, 314, 271, 27994, 272, 6012, 272, 316, 2652, 1412, 10086, 6769, 15235, 19677, 6230, 913, 318, 273, 1467, 3890, 21506, 4848, 19677, 269, 637, 6834, 1582, 6230, 913, 318, 517, 3890, 567, 1477, 4848, 19677, 269, 637, 6834, 1582, 22182, 4671, 698, 318, 29148, 3488, 5035, 309, 541, 13356, 10807, 1363, 1477, 4848, 19677, 269, 12534, 13356, 14052, 453, 28432, 6769, 4848, 16596, 24653, 3698, 4894, 318, 1260, 618, 31526, 8029, 453, 18257, 1477, 453, 6358, 281, 338, 17532, 1899, 609, 8292, 1477, 453, 16059, 281, 338, 17532, 1899, 1510, 8292, 1477, 453, 18257, 1477, 453, 5976, 1930, 31526, 10086, 337, 10807, 607, 3561, 6769, 453, 453, 637, 815, 834, 29177, 453, 453, 12921, 760, 815, 8771, 1477, 453, 22610, 1899, 538, 3561, 6769, 4848, 453, 258, 1467, 815, 1899, 18622, 2897, 3488, 22207, 5257, 3418, 4848, 453, 1467, 815, 1899, 18622, 2897, 28361, 339, 3299, 5257, 3418, 4848, 453, 1012, 952, 1265, 12262, 6085, 267, 18419, 6085, 1477, 4848, 14851, 1899, 26098, 3488, 2260, 10807, 13843, 271, 6769, 15235, 453, 1467, 815, 1899, 11468, 1467, 26098, 3488, 2260, 10807, 15947, 15235, 453, 1467, 23785, 1412, 315, 333, 262, 1477, 4848, 14851, 1899, 26098, 3488, 270, 265, 10807, 13843, 271, 6769, 15235, 14851, 1899, 26098, 3488, 265, 270, 10807, 285, 271, 6769, 20930, 453, 1012, 1376, 1439, 538, 519, 1482, 1899, 1477, 20930, 453, 1467, 815, 1899, 314, 271, 281, 1467, 26098, 3488, 270, 265, 10807, 316, 1341, 1899, 314, 1467, 26098, 3488, 265, 270, 10807, 266, 273, 281, 15947, 15235, 28432, 6769, 20930, 453, 1012, 1152, 1376, 1477, 20930, 453, 1467, 815, 1899, 11468, 1467, 26098, 3488, 270, 265, 10807, 15947, 20930, 453, 1012, 952, 972, 616, 1869, 3009, 267, 649, 1058, 1039, 513, 1007, 1899, 1477, 20930, 453, 637, 6834, 1899, 1477, 20930, 14851, 7003, 263, 1467, 264, 285, 271, 6769, 4848, 15235, 453, 637, 266, 8782, 315, 333, 262, 1477, 20930, 453, 12921, 760, 815, 6936, 1477, 4848, 453, 1012, 1152, 1439, 1477, 4848, 14851, 1899, 26098, 3488, 270, 265, 10807, 2999, 271, 543, 1899, 26098, 3488, 265, 270, 10807, 285, 271, 6769, 15235, 453, 1467, 815, 1899, 314, 1467, 26098, 3488, 265, 270, 10807, 266, 273, 281, 15947, 15235, 453, 12921, 760, 815, 8771, 1477, 4848, 14851, 711, 1899, 14714, 8692, 28399, 15235, 453, 11666, 826, 1477, 4848, 14851, 18178, 6769, 15235, 453, 11666, 826, 1477, 4848, 453, 637, 23785, 1467, 1477, 16596, 759, 24653, 3698, 1899, 4671, 7505, 6500, 263, 1467, 8029, 453, 18257, 1477, 453, 6358, 281, 1899, 1510, 8292, 1477, 453, 16059, 281, 18351, 1242, 13544, 1893, 5897, 14851, 1265, 2027, 3090, 267, 16289, 519, 1913, 3105, 547, 519, 3090, 543, 21506, 453, 1492, 3090, 694, 704, 2299, 1477, 453, 1278, 3772, 267, 8237, 873, 676, 2230, 1477, 14851, 1265, 834, 2745, 1913, 2580, 4308, 609, 713, 1899, 14350, 1477, 453, 18257, 1477, 453, 1467, 815, 1899, 7456, 29328, 14052, 453, 637, 815, 1496, 15947, 453, 31184, 7272, 334, 5793, 815, 476, 271, 1477, 453, 12921, 760, 815, 8771, 1477, 22610, 4994, 267, 10420, 538, 26246, 263, 1467, 8029, 453, 14851, 1347, 538, 3090, 543, 711, 18178, 6769, 4848, 453, 637, 6910, 263, 1467, 314, 31184, 7272, 334, 5793, 281, 8161, 29573, 4848, 453, 637, 6910, 263, 10420, 3418, 4848, 453, 31184, 7272, 334, 5793, 815, 4994, 266, 272, 1477, 453, 14851, 1347, 2652, 1412, 1412, 543, 711, 18178, 6769, 4848, 453, 637, 6910, 263, 1467, 314, 31184, 7272, 334, 5793, 281, 8161, 29573, 4848, 453, 31184, 7272, 334, 5793, 815, 4994, 266, 272, 1477, 453, 14851, 1347, 2652, 262, 257, 262, 543, 18178, 6769, 4848, 453, 12921, 760, 815, 8771, 1477, 4848, 453, 637, 6910, 263, 1467, 314, 31184, 7272, 334, 5793, 266, 272, 281, 8161, 266, 272, 29573, 4848, 453, 28744, 263, 1467, 314, 31184, 7272, 334, 5793, 281, 8161, 29573, 4848, 453, 31184, 7272, 334, 5793, 815, 4994, 266, 272, 1477, 4848, 453, 11666, 826, 1477 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4061, 1114, 2372, 611, 8561, 547, 3914, 713, 1448, 269, 12160, 656, 2290, 13788, 519, 1483, 8996, 6388, 8600, 585, 513, 1454, 1114, 10912, 982, 12160, 656, 5565, 269, 2334, 568, 1175, 5386, 607, 621, 13352, 12160, 656, 2290, 543, 10274, 873, 547, 3035, 741, 5207, 1761, 563, 27396, 656, 5565, 9411, 513, 700, 25893, 15331, 2460, 2038, 835, 269, 898, 568, 7805, 602, 789, 6956, 519, 7087, 2035, 543, 4440, 1185, 4598, 547, 519, 2035, 538, 741, 1378, 1272, 269, 634, 11202, 3118, 13332, 849, 2982, 1445, 593, 513, 700, 25893, 15331, 623, 16104, 799, 607, 513, 7041, 585, 519, 6074, 10912, 799, 2877, 16913, 2259, 1354, 10024, 519, 1483, 8996, 6388, 13327, 523, 676, 741, 918, 1575, 10044, 269, 21894, 10912, 729, 4547, 2312, 1369, 12160, 656, 267, 621, 11438, 1390, 5539, 543, 865, 713, 1114, 2619, 585, 12032, 563, 290, 1735, 15078, 1107, 918, 1575, 10044, 19809, 540, 15443, 28371, 454, 763, 918, 1575, 10044, 585, 519, 12160, 656, 568, 3743, 585, 9306, 519, 12160, 656, 547, 519, 918, 1575, 10044, 7027, 607, 513, 4628, 8647, 4759, 540, 2486, 269, 6076, 15078, 949, 849, 581, 4371, 952, 972, 568, 606, 3390, 593, 513, 1880, 12160, 656, 610, 824, 6927, 1644, 547, 519, 1982, 563, 24836, 706, 566, 4386, 2390, 519, 12160, 656, 8757, 519, 2407, 1377, 540, 7087, 21481, 267, 2702, 547, 1685, 267, 3666, 538, 1272, 607, 7152, 267, 3811, 22920, 538, 1899, 609, 519, 23422, 5697, 563, 306, 23852, 268, 19798, 8577, 16774, 15760, 24315, 2316, 5746, 303, 19611, 454, 763, 7736, 25779, 540, 3666, 585, 519, 12160, 656, 1797, 602, 2409, 540, 4152, 741, 4567, 568, 741, 1378, 5539, 269, 769, 519, 1439, 267, 789, 616, 3743, 585, 741, 2208, 543, 519, 1152, 1259, 547, 917, 568, 547, 581, 2111, 547, 2995, 585, 3054, 269, 1452, 616, 1271, 1983, 585, 519, 12160, 656, 563, 1607, 2027, 2168, 1449, 20674, 538, 2542, 519, 10103, 538, 519, 1648, 24323, 543, 608, 27238, 269, 1703, 568, 513, 2603, 540, 1344, 4371, 538, 938, 4703, 17916, 7326, 585, 1018, 568, 1318, 543, 1434, 585, 721, 543, 585, 1866, 269, 2271, 340, 819, 4152, 568, 1031, 593, 513, 6024, 4493, 998, 519, 2866, 1982, 543, 998, 519, 1964, 540, 519, 12160, 656, 779, 1272, 269, 634, 6091, 540, 519, 1560, 616, 519, 9985, 7059, 15298, 547, 6542, 11029, 2242, 538, 1648, 799, 1860, 3114, 21356, 543, 5122, 10997, 538, 519, 1560, 269, 4804, 713, 835, 5578, 4805, 786, 32260, 519, 2702, 547, 5873, 14479, 563, 19187, 9066, 666, 581, 2944, 1282, 1022, 2534, 269, 901, 568, 513, 5578, 602, 568, 4121, 538, 16563, 543, 1287, 5645, 883, 519, 6846, 540, 1272, 269, 901, 568, 606, 1271, 851, 540, 2168, 1072, 563, 299, 25893, 15331, 21673, 566, 20970, 454, 10376, 12160, 656, 814, 606, 20772, 950, 789, 4497, 538, 513, 700, 25893, 15331, 23093, 269, 901, 6482, 13475, 741, 1378, 20772, 1354, 789, 4497, 543, 20674, 538, 7421, 519, 3635, 26063, 563, 763, 15937, 8682, 5025, 1087, 20156, 568, 711, 2944, 593, 1957, 269, 1703, 786, 581, 1100, 4574, 1472, 950, 1272, 568, 8345, 267, 1310, 22692, 543, 856, 538, 2486, 269, 634, 4245, 1590, 581, 593, 519, 3330, 269, 634, 4879, 3217, 1747, 1063, 519, 918, 1575, 10044, 543, 519, 12160, 656, 538, 513, 1747, 540, 741, 7446, 269, 8625, 267, 519, 918, 1575, 10044, 543, 519, 12160, 656, 5968, 2394, 972, 568, 606, 4656, 543, 10103, 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 ]

[ 0, 258, 1548, 616, 519, 3670, 25066, 3252, 540, 606, 5086, 2496, 1012, 1548, 616, 519, 3670, 25066, 3252, 540, 606, 5086, 2496, 2414, 6218, 519, 3670, 25066, 3252, 540, 476, 18597, 5232, 1210, 519, 1770, 5858, 267, 1246, 891, 3268, 1384, 272, 269, 8571, 519, 4605, 269, 4429, 273, 269, 19130, 538, 519, 13080, 540, 519, 7953, 543, 519, 30494, 269, 4429, 274, 269, 4855, 519, 20534, 540, 519, 5086, 269, 4429, 275, 269, 4855, 519, 25482, 540, 519, 5086, 269, 4429, 276, 269, 4855, 519, 17242, 540, 519, 5086, 269, 4429, 277, 269, 4855, 519, 524, 846, 322, 656, 540, 519, 5086, 780, 1015, 780, 1012, 1215, 798, 596, 3314, 519, 3670, 25066, 3252, 2496, 763, 20534, 267, 25482, 267, 543, 17242, 12753, 538, 513, 1318, 6906, 666, 581, 15422, 676, 8204, 873, 607, 12673, 540, 5022, 267, 585, 3236, 14298, 295, 4211, 288, 295, 6874, 29151, 538, 2296, 281, 590, 710, 815, 11534, 5242, 21680, 23738, 26664, 269, 15328, 710, 815, 1520, 329, 8809, 21680, 23738, 26664, 269, 19358, 550, 815, 11534, 5242, 21680, 1520, 329, 8809, 780, 1012, 1215, 1082, 9764, 3252, 616, 972, 2496, 338, 1460, 9764, 3252, 692, 1012, 1548, 568, 513, 2027, 5086, 2496, 763, 2027, 7285, 593, 519, 1770, 5858, 3277, 547, 519, 7285, 602, 723, 7222, 10974, 799, 666, 581, 12193, 609, 519, 25355, 14497, 269, 3267, 1452, 7285, 616, 4122, 2016, 607, 606, 4661, 540, 513, 25066, 1599, 971, 607, 519, 20534, 610, 25482, 3252, 780, 1012, 1548, 616, 2027, 5086, 8424, 2496, 26807, 5086, 8424, 616, 2016, 2027, 4408, 1759, 593, 741, 3448, 2990, 547, 835, 1776, 610, 1759, 593, 519, 2040, 540, 741, 9757, 3800, 269, 1520, 329, 8809, 7285, 269, 1520, 329, 8809, 7285, 616, 1022, 1079, 7285, 602, 2671, 513, 1455, 2427, 19459, 519, 1079, 7285, 543, 602, 2671, 513, 1455, 14584, 780, 1012, 1215, 798, 596, 4020, 513, 2027, 5086, 2496, 17746, 2315, 540, 27449, 676, 1210, 3281, 817, 692, 272, 269, 630, 328, 264, 8571, 513, 18422, 29314, 269, 4429, 273, 269, 630, 328, 264, 14716, 606, 5086, 19110, 288, 7495, 815, 476, 2568, 4113, 607, 3254, 269, 4429, 274, 269, 630, 328, 264, 6875, 1022, 18422, 29314, 269, 4429, 275, 269, 630, 328, 264, 6875, 513, 18422, 29314, 269, 4429, 276, 269, 630, 328, 264, 2991, 1818, 476, 3445, 4113, 5086, 1491, 700, 543, 715, 607, 8998, 543, 2721, 1079, 9095, 338, 5969, 1142, 824, 693, 590, 269, 4429, 277, 269, 5153, 540, 14716, 281, 4429, 278, 269, 630, 328, 264, 20472, 19110, 288, 8016, 815, 476, 6344, 4113, 27250, 1012, 1548, 568, 513, 476, 4037, 4110, 5086, 1572, 2496, 12585, 281, 8650, 5086, 12845, 5086, 1063, 476, 271, 543, 476, 3445, 5232, 780, 1012, 1215, 798, 596, 4020, 513, 476, 4037, 4110, 5086, 2496, 1692, 547, 20472, 476, 4037, 4110, 24234, 692, 272, 269, 5153, 476, 272, 281, 8571, 513, 1899, 10126, 609, 1439, 4812, 744, 543, 589, 563, 273, 269, 5153, 476, 273, 281, 8571, 606, 9095, 609, 744, 607, 8998, 5969, 519, 1899, 10126, 29314, 693, 1448, 645, 609, 513, 22315, 563, 274, 269, 5153, 476, 274, 281, 18227, 519, 8953, 1482, 267, 8571, 606, 9095, 609, 645, 607, 8998, 5969, 519, 9095, 693, 595, 780, 1012, 1215, 798, 596, 4020, 513, 476, 2420, 269, 276, 5086, 2496, 10376, 786, 581, 476, 2568, 4110, 269, 1656, 20312, 624, 519, 1899, 621, 786, 581, 476, 3445, 4110, 269, 3767, 20312, 624, 519, 476, 3445, 2554, 516, 267, 621, 786, 2285, 596, 476, 3393, 4110, 269, 11088, 20312, 624, 713, 476, 3393, 4110, 267, 596, 786, 1205, 476, 2420, 780, 1012, 6904, 5086, 568, 476, 3393, 4110, 2496, 288, 2786, 5086, 3800, 476, 5197, 4113, 269, 1323, 5086, 666, 581, 6027, 1210, 513, 1486, 847, 528, 267, 543, 519, 5086, 540, 2268, 476, 3445, 5232, 568, 1572, 513, 1318, 5086, 269, 769, 513, 1318, 5086, 267, 519, 1079, 7916, 616, 13902, 547, 1142, 824, 269, 1879, 519, 1318, 5086, 568, 5258, 883, 1079, 3160, 2694, 1142, 5086, 3800, 476, 3393, 4113, 780, 1012, 1215, 798, 596, 4020, 513, 476, 7367, 269, 276, 5086, 2496, 11405, 2433, 1677, 4020, 606, 5086, 540, 476, 7367, 780, 1012, 1215, 798, 596, 4020, 513, 476, 10755, 4110, 2496, 1692, 547, 4020, 513, 476, 10755, 24266, 5086, 2496, 272, 269, 8571, 476, 6344, 4113, 5086, 1101, 563, 273, 269, 2991, 5373, 621, 267, 1287, 2721, 476, 3445, 4113, 4120, 563, 274, 269, 634, 5086, 1063, 519, 1079, 12345, 786, 581, 476, 1789, 4113, 267, 2721, 519, 5086, 20312, 10725, 563, 275, 269, 3767, 2390, 9819, 649, 1205, 476, 3445, 1341, 476, 1428, 815, 476, 10755, 780, 1012, 1548, 568, 519, 7110, 540, 476, 10755, 4110, 2496, 763, 7110, 540, 476, 10755, 4113, 568, 519, 5086, 602, 950, 3773, 547, 476, 10755, 4113, 3029, 513, 2786, 5086, 630, 5197, 4113, 3738, 780, 1012, 1548, 568, 513, 476, 10755, 4110, 5086, 1572, 2496, 659, 1393, 5086, 12845, 5086, 1063, 476, 271, 543, 476, 3445, 5232, 269, 1318, 5086, 12845, 476, 3445, 4110, 5086, 269, 1073, 339, 2224, 5086, 12845, 5086, 1063, 476, 3445, 543, 476, 5197, 5232, 269, 2786, 5086, 8584, 476, 5197, 4110, 5086, 780, 1012, 1215, 798, 596, 4020, 513, 476, 3445, 4110, 5086, 609, 513, 22315, 2496, 19686, 476, 273, 540, 476, 273, 281, 3414, 519, 5664, 540, 513, 7412, 21540, 618, 692, 272, 269, 8571, 513, 2786, 1899, 269, 2201, 513, 4062, 540, 1957, 267, 2721, 513, 1899, 10126, 540, 1022, 10375, 3259, 269, 4429, 273, 269, 17292, 1022, 1448, 593, 9474, 269, 4460, 621, 267, 543, 6003, 621, 744, 269, 4429, 274, 269, 3400, 321, 513, 22315, 269, 7046, 519, 22315, 547, 513, 8953, 513, 2370, 10156, 982, 2901, 589, 302, 610, 28267, 269, 4429, 275, 269, 22367, 651, 1079, 811, 9095, 338, 269, 4429, 276, 269, 8571, 519, 476, 3445, 4113, 5086, 780, 1012, 1548, 568, 513, 476, 3445, 5086, 1572, 2496, 14738, 7285, 2268, 476, 3445, 5232, 269, 5136, 339, 2224, 7285, 2268, 811, 982, 476, 3445, 5232, 780, 1012, 1548, 568, 513, 476, 3445, 4110, 5086, 950, 4758, 513, 8929, 2496, 8138, 12827, 10389, 24409, 666, 581, 2016, 2786, 538, 693, 513, 476, 3445, 4110, 5086, 610, 693, 513, 476, 3393, 4110, 5086, 269, 12315, 519, 13297, 693, 513, 476, 3445, 4110, 5086, 952, 596, 666, 9787, 476, 273, 6279, 540, 2960, 1063, 707, 14853, 543, 1101, 9416, 269, 3267, 1684, 711, 5905, 713, 1858, 2394, 596, 2285, 519, 13297, 780, 1012, 1215, 798, 596, 1265, 513, 476, 3445, 4110, 5086, 2496, 2252, 519, 5086, 568, 851, 540, 513, 6906, 267, 1039, 519, 3800, 540, 519, 824, 1079, 7285, 269, 634, 1614, 7285, 540, 513, 6906, 2141, 2698, 476, 5197, 5232, 267, 865, 952, 519, 2040, 540, 519, 824, 1079, 7285, 568, 476, 3445, 267, 1287, 621, 568, 513, 1318, 6906, 609, 513, 476, 3445, 24266, 5086, 269, 0, 258, 1280, 1164, 4187, 4452, 267, 23996, 16569, 3476, 2496, 5475, 2542, 713, 2626, 267, 594, 3893, 547, 917, 602, 6007, 16569, 827, 11192, 5279, 5258, 676, 1699, 2721, 780, 3383, 267, 13071, 8263, 519, 6453, 2066, 476, 273, 23525, 540, 6007, 568, 3586, 269, 676, 267, 3230, 309, 263, 17746, 656, 264, 815, 16843, 9681, 2252, 594, 4019, 1164, 4187, 4452, 538, 3126, 267, 1287, 1360, 1970, 1699, 786, 2095, 543, 519, 6007, 786, 581, 27071, 1256, 811, 7444, 780, 7069, 2243, 568, 267, 1772, 1250, 1620, 2953, 263, 528, 594, 993, 7508, 1945, 264, 2496, 263, 296, 723, 2760, 1500, 1022, 5547, 824, 982, 3366, 538, 3126, 267, 1706, 5537, 264, 296, 729, 2469, 547, 946, 700, 11403, 547, 2490, 593, 543, 1055, 3366, 8279, 269, 2423, 17067, 1775, 1031, 547, 1589, 602, 1164, 4187, 7472, 3002, 2330, 295, 284, 296, 317, 273, 305, 339, 2330, 543, 602, 1131, 8532, 513, 2603, 540, 1648, 24906, 538, 8022, 269, 865, 6007, 786, 581, 27071, 5488, 269, 1809, 2221, 1775, 1224, 602, 1657, 5532, 2022, 543, 1250, 2035, 4957, 780, 263, 296, 1810, 1405, 917, 2436, 713, 2243, 729, 4280, 1354, 269, 1317, 594, 1810, 1405, 917, 875, 798, 594, 3406, 585, 621, 269, 594, 22646, 6007, 543, 4187, 855, 9048, 767, 656, 2164, 3357, 269, 865, 594, 4280, 2243, 2020, 1892, 594, 1810, 1405, 1174, 596, 2243, 269, 5295, 540, 513, 5706, 633, 4452, 568, 4399, 2765, 346, 309, 317, 273, 2410, 305, 23201, 1924, 9493, 1695, 267, 519, 2362, 568, 1269, 305, 259, 519, 2539, 568, 519, 1379, 1862, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 3451, 454, 1892, 1879, 606, 3403, 568, 3586, 946, 519, 811, 5078, 4542, 269, 609, 6382, 952, 594, 568, 3586, 267, 946, 594, 269, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 4343, 454, 1892, 3733, 2243, 568, 267, 2221, 1018, 594, 1224, 543, 1287, 4294, 19315, 916, 1876, 269, 1772, 602, 2953, 286, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 2412, 454, 1892, 1317, 594, 1810, 1405, 917, 875, 798, 594, 3406, 585, 621, 772, 327, 332, 267, 519, 3406, 3046, 593, 519, 1283, 1318, 7790, 9612, 585, 834, 637, 626, 528, 4744, 11692, 2668, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1691, 281, 4366, 454, 1892, 1763, 626, 528, 4744, 11692, 269, 670, 7825, 332, 269, 594, 729, 10478, 585, 6007, 2073, 4187, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1428, 281, 1691, 692, 2690, 17033, 5706, 633, 13907, 267, 1379, 26632, 730, 666, 581, 7229, 609, 3230, 303, 815, 10001, 2330, 1141, 594, 543, 966, 666, 581, 2655, 21114, 1210, 7937, 332, 781, 4521, 267, 19838, 281, 3230, 303, 815, 594, 630, 7644, 264, 815, 594, 317, 273, 305, 9681, 17798, 1141, 707, 670, 3830, 2501, 689, 269, 2334, 1175, 3217, 883, 2272, 942, 607, 1134, 585, 513, 2698, 2530, 936, 942, 269, 1677, 2626, 707, 6161, 827, 1164, 4187, 1226, 2718, 1164, 3002, 267, 2362, 4187, 1797, 2539, 1699, 269, 5221, 1699, 568, 519, 16302, 2165, 538, 519, 1379, 3830, 267, 621, 11148, 547, 723, 811, 6310, 834, 8882, 26475, 257, 593, 519, 2698, 1379, 4616, 269, 1411, 3513, 1265, 602, 513, 476, 1015, 2129, 332, 19919, 609, 476, 1015, 309, 4294, 630, 272, 18041, 267, 476, 1015, 26334, 14386, 786, 723, 2362, 1379, 982, 513, 476, 1911, 2129, 332, 19919, 609, 476, 1015, 309, 4294, 630, 1911, 332, 288, 267, 1152, 476, 272, 26910, 1040, 1924, 538, 1249, 267, 513, 2539, 4187, 786, 1267, 538, 2362, 1699, 543, 17321, 27178, 693, 519, 1942, 540, 5488, 6007, 8963, 543, 811, 3002, 4744, 11692, 3842, 27856, 780, 763, 2626, 596, 5532, 814, 1259, 811, 593, 713, 267, 855, 585, 1264, 28467, 543, 547, 17412, 281, 23996, 19206, 616, 6027, 538, 1984, 2086, 3108, 9852, 25105, 1070, 799, 568, 3274, 875, 1082, 1984, 3554, 1186, 621, 666, 2322, 856, 585, 476, 272, 5662, 269, 589, 476, 4335, 332, 25105, 6007, 666, 3977, 476, 4335, 332, 288, 585, 5111, 476, 272, 5662, 269, 634, 6935, 568, 5276, 1932, 267, 865, 602, 1482, 6007, 1223, 2322, 856, 476, 7742, 332, 288, 585, 476, 273, 3108, 610, 476, 1911, 271, 332, 288, 585, 3368, 606, 5662, 780, 1892, 1924, 1699, 568, 16302, 602, 568, 519, 1292, 2601, 585, 3002, 6383, 269, 1290, 7757, 8734, 476, 279, 267, 476, 1001, 277, 693, 476, 1428, 281, 1321, 454, 1892, 7711, 293, 26413, 7219, 634, 834, 10852, 2601, 585, 3002, 6383, 257, 568, 602, 519, 19919, 3096, 1379, 269, 1290, 7757, 8734, 476, 280, 267, 476, 1001, 277, 693, 476, 272, 281, 4649, 692, 288, 6007, 814, 513, 22194, 5279, 4390, 1269, 304, 318, 301, 259, 538, 519, 1931, 540, 476, 272, 547, 476, 1911, 13259, 585, 8912, 7082, 14726, 630, 8150, 267, 5985, 267, 1286, 6007, 3267, 1040, 634, 6007, 849, 814, 513, 22194, 6453, 1269, 308, 318, 301, 259, 1644, 547, 922, 7998, 543, 6189, 780, 2304, 936, 13678, 680, 1881, 2203, 540, 513, 6007, 3947, 513, 3586, 3977, 6453, 2394, 922, 5279, 568, 30701, 269, 1403, 596, 4019, 513, 3586, 4452, 547, 713, 630, 324, 3052, 269, 27856, 543, 27178, 267, 1100, 15175, 1070, 1287, 519, 942, 596, 666, 2196, 519, 4452, 689, 713, 6007, 1223, 581, 7229, 676, 454, 259, 339, 815, 1422, 2765, 346, 304, 5332, 2410, 296, 348, 815, 1627, 5332, 24206, 21702, 23334, 3709 ]

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

[ 13718, 9223, 476, 2537, 4855, 519, 1739, 3970, 1210, 700, 262, 295, 641, 1388, 781, 4341, 269, 552, 274, 343, 910, 476, 274, 343, 1341, 273, 1929, 268, 1535, 271, 5609, 11054, 343, 476, 876, 476, 275, 269, 276, 522, 6496, 3502, 1401, 626, 476, 272, 269, 276, 9890, 589, 25021, 547, 1776, 2243, 786, 4688, 713, 3210, 269, 0, 15276, 268, 24934, 1511, 454, 314, 12749, 6012, 5472, 700, 1235, 6540, 1012, 8943, 9046, 692, 3245, 281, 9400, 5576, 636, 12329, 13595, 281, 8943, 9046, 11261, 281, 11205, 267, 476, 866, 4924, 476, 1708, 271, 476, 1691, 281, 876, 281, 3451, 910, 30588, 271, 692, 14187, 12784, 267, 594, 3112, 3100, 547, 4137, 856, 875, 547, 4368, 1250, 1612, 572, 6959, 585, 713, 3009, 269, 7102, 10372, 286, 5900, 3737, 616, 519, 12596, 594, 993, 1210, 269, 7490, 4063, 602, 519, 23940, 568, 538, 667, 9680, 3918, 2464, 267, 865, 594, 1031, 1312, 5430, 323, 1299, 521, 785, 780, 14188, 596, 692, 32178, 692, 24927, 12989, 1384, 260, 24868, 1963, 692, 260, 290, 17213, 24234, 267, 634, 3279, 454, 260, 289, 648, 267, 645, 454, 260, 1805, 6593, 267, 700, 454, 260, 15253, 1833, 22472, 267, 678, 454, 260, 21010, 532, 11425, 3259, 547, 1835, 1678, 268, 1301, 3259, 513, 267, 5223, 681, 284, 272, 21669, 454, 260, 22704, 540, 595, 2643, 5407, 2212, 267, 21926, 454, 260, 22704, 540, 623, 626, 517, 267, 7442, 454, 260, 24979, 3471, 3873, 1111, 15585, 1049, 17726, 267, 715, 1496, 14641, 300, 6540, 260, 2171, 616, 3168, 585, 11730, 630, 9064, 1070, 22704, 630, 9064, 1070, 623, 626, 517, 20653, 6290, 5455, 630, 9064, 13211, 260, 5575, 12045, 540, 4320, 530, 4135, 23940, 630, 323, 309, 7933, 263, 9064, 264, 13211, 260, 5575, 12045, 540, 9351, 530, 4135, 23940, 267, 630, 323, 288, 7933, 263, 9064, 11723, 260, 19152, 338, 692, 9064, 284, 1428, 4939, 314, 19592, 4181, 2639, 289, 815, 476, 1691, 4939, 314, 514, 2583, 2639, 299, 815, 476, 1691, 4939, 314, 514, 2583, 2639, 337, 815, 476, 280, 454, 305, 815, 476, 277, 454, 288, 577, 815, 476, 23211, 4939, 314, 514, 2583, 317, 273, 2639, 25721, 815, 476, 15150, 4939, 314, 514, 2583, 317, 273, 2639, 301, 815, 476, 5611, 271, 4939, 314, 14641, 300, 6540, 260, 13420, 725, 692, 309, 323, 284, 16733, 274, 269, 15221, 6795, 16732, 289, 317, 273, 4297, 270, 275, 12684, 299, 1109, 4939, 10472, 3830, 1568, 692, 309, 322, 284, 309, 323, 14370, 337, 268, 272, 264, 4939, 10472, 3830, 1568, 692, 309, 815, 966, 322, 265, 346, 272, 266, 271, 269, 276, 16868, 268, 272, 12684, 27007, 305, 23444, 272, 2275, 657, 323, 263, 9064, 4297, 268, 9230, 305, 317, 273, 9984, 338, 785, 317, 273, 263, 9064, 4297, 317, 271, 269, 276, 316, 10926, 288, 284, 288, 577, 266, 25721, 266, 9230, 274, 269, 15221, 6795, 265, 289, 265, 299, 8358, 273, 25011, 263, 305, 266, 272, 9984, 6523, 323, 263, 9064, 9984, 263, 305, 317, 273, 1606, 785, 317, 273, 263, 9064, 4297, 317, 271, 269, 276, 6540, 10000, 14352, 274, 269, 15221, 6795, 265, 299, 265, 301, 265, 338, 785, 263, 9064, 7565, 6523, 323, 263, 9064, 4297, 8358, 9230, 305, 317, 273, 1606, 785, 317, 273, 263, 9064, 4297, 22677, 271, 269, 276, 11924, 272, 2020, 260, 20479, 692, 306, 10547, 1744, 582, 476, 1708, 271, 268, 6349, 268, 866, 693, 476, 1724, 269, 6812, 269, 1789, 26666, 454, 20373, 281, 623, 7582, 3239, 692, 306, 10547, 1744, 582, 476, 1708, 271, 268, 6349, 268, 866, 693, 476, 1724, 269, 6812, 269, 5655, 26666, 454, 20373, 281, 623, 7582, 3239, 692, 306, 10547, 1744, 582, 476, 1708, 271, 268, 6349, 268, 866, 693, 476, 1724, 269, 6795, 269, 3953, 26666, 454, 20373, 281, 623, 7582, 3239, 692, 516, 2952, 3842, 4757, 547, 0, 258, 1234, 20287, 6341, 7204, 281, 519, 3808, 543, 519, 6388, 609, 681, 692, 296, 4312, 1044, 2542, 827, 18349, 10386, 585, 28662, 10803, 267, 543, 594, 723, 519, 1739, 1383, 1384, 11693, 1269, 344, 315, 13678, 715, 7268, 9064, 267, 272, 7751, 2073, 1269, 335, 7268, 9064, 9385, 13678, 595, 879, 16408, 263, 271, 267, 272, 29408, 1269, 336, 7268, 9064, 1923, 344, 6661, 335, 7268, 9064, 1923, 344, 264, 335, 7268, 9064, 3738, 8961, 1269, 326, 7268, 9064, 3738, 315, 13678, 715, 12169, 267, 272, 7751, 543, 586, 284, 272, 692, 10190, 267, 519, 1383, 3081, 281, 4399, 2765, 2715, 7117, 7268, 9064, 1923, 344, 264, 25452, 575, 7268, 9064, 3738, 7684, 31386, 2765, 2715, 1163, 13375, 28381, 28363, 2765, 2715, 2715, 630, 344, 10559, 9064, 3738, 7684, 3867, 476, 273, 7684, 25452, 476, 273, 7684, 1422, 2431, 315, 348, 1422, 10383, 1422, 2765, 2715, 476, 272, 25452, 476, 272, 266, 346, 1422, 9064, 7684, 3867, 476, 273, 7684, 7684, 25452, 1422, 2765, 2715, 476, 272, 25452, 1422, 6912, 2715, 476, 273, 19570, 7684, 7684, 1163, 13375, 28381, 28363, 2765, 2715, 2715, 22570, 9064, 910, 344, 264, 7684, 3867, 476, 273, 7684, 25452, 476, 273, 7684, 1422, 2431, 315, 348, 7684, 31386, 2765, 2715, 1422, 6912, 2715, 476, 273, 19570, 7684, 25452, 476, 272, 266, 346, 1422, 9064, 7684, 3867, 476, 273, 7684, 7684, 1422, 548, 1422, 6912, 2715, 476, 273, 19570, 476, 4151, 4399, 315, 6911, 296, 1174, 3592, 3388, 267, 855, 519, 2063, 1900, 568, 711, 865, 2312, 585, 803, 630, 1492, 8635, 1070, 1317, 2687, 602, 267, 1269, 300, 7807, 6912, 2715, 476, 273, 19570, 7684, 8607, 6911, 3719, 594, 1224, 519, 1739, 4214, 281, 1269, 300, 7807, 1495, 619, 564, 2715, 1422, 9064, 25452, 24101, 7684, 1422, 15153, 1422, 2765, 2715, 7117, 7268, 9064, 1923, 344, 264, 25452, 575, 7268, 9064, 3738, 476, 20954, 543, 594, 1589, 1269, 300, 7807, 2765, 3189, 6912, 2715, 476, 273, 19570, 7684, 25452, 273, 10592, 7069, 2034, 8969, 568, 827, 519, 6388, 2986, 713, 1383, 609, 681, 269, 32114, 519, 1101, 631, 267, 594, 946, 519, 1739, 3009, 692, 628, 283, 268, 10517, 263, 2793, 267, 1911, 271, 994, 328, 283, 268, 271, 454, 6112, 9217, 283, 1911, 271, 264, 19127, 9064, 272, 283, 268, 337, 17884, 263, 272, 267, 272, 267, 272, 994, 340, 283, 268, 14725, 604, 263, 272, 994, 604, 26086, 27045, 272, 14370, 272, 23444, 9064, 272, 317, 273, 30727, 19127, 328, 283, 268, 328, 266, 272, 454, 628, 5157, 316, 283, 268, 9064, 272, 454, 8679, 8679, 628, 454, 7290, 263, 628, 9239, 8649, 594, 7598, 621, 538, 519, 2953, 1259, 286, 1772, 621, 2953, 1250, 27008, 540, 519, 17911, 286, 594, 692, 763, 1101, 2243, 568, 15458, 281, 634, 8635, 11377, 13320, 346, 336, 12169, 24689, 9064, 20972, 326, 7268, 9064, 264, 13157, 272, 315, 15927, 270, 315, 2765, 346, 272, 7346, 6912, 346, 273, 19570, 24828, 346, 272, 10954, 9064, 317, 273, 315, 3686, 7807, 13320, 3189, 6912, 346, 273, 19570, 12453, 272, 10954, 9064, 317, 273, 4153, 548, 1422, 6912, 346, 273, 19570, 6525, 568, 2953, 950, 1210, 1269, 336, 12169, 24689, 9064, 21174, 10339, 315, 24877, 7268, 9064, 3917, 8203, 273, 270, 273, 315, 4153, 15927, 270, 28381, 272, 10954, 9064, 317, 273, 315, 4151, 3079, 540, 519, 5265, 3339, 2213, 5860, 630, 6518, 3339, 5314, 3586, 568, 711, 1634, 538, 6806, 1106, 1040, 1215, 1131, 596, 17589, 602, 519, 5580, 3808, 568, 4399, 6912, 346, 273, 19570, 348, 270, 273, 259, 3079, 888, 1842, 283, 268, 10818, 3287, 264, 346, 323, 17884, 3287, 267, 272, 267, 272, 12684, 26501, 879, 16408, 3287, 264, 8679, 17884, 1794, 284, 15759, 3433, 263, 1842, 16427, 2004, 267, 5611, 7751, 1998, 1277, 263, 628, 267, 22238, 284, 15045, 16604, 19885, 5035, 284, 6872, 267, 3712, 6889, 342, 17742, 8442, 7455, 263, 1842, 3287, 8358, 17884, 1794, 267, 5417, 284, 15045, 16604, 267, 331, 23424, 284, 273, 267, 3712, 6889, 338, 19652, 274, 8442, 476, 3040, 1411, 2811, 1318, 1862, 594, 729, 10442, 7445, 2765, 3189, 6912, 263, 273, 19570, 20972, 272, 266, 11513, 9064, 8703, 273, 14990, 259, 693, 519, 631, 4041, 630, 272, 538, 713, 2013, 1040, 8729, 513, 2603, 256, 1107, 1109, 16446, 30433, 4924, 476, 1839, 1412, 1704, 693, 476, 2537, 281, 4649, 0, 3682, 339, 19685, 609, 2645, 692, 9202, 281, 24951, 5565, 27842, 281, 4147, 4328, 5455, 281, 31131, 5999, 540, 513, 19881, 281, 31131, 5999, 540, 513, 5231, 12039, 692, 12812, 585, 17002, 3659, 324, 569, 4528, 540, 713, 1215, 2414, 692, 1012, 17438, 20518, 1903, 692, 5331, 513, 1362, 609, 476, 1911, 1053, 543, 693, 519, 1439, 540, 519, 19496, 789, 782, 3576, 519, 3803, 981, 269, 2991, 519, 4116, 28439, 519, 981, 646, 8068, 602, 513, 2603, 540, 1053, 20639, 1063, 476, 3583, 543, 476, 4037, 2600, 269, 589, 5594, 4130, 1895, 540, 1053, 1590, 723, 6594, 513, 2370, 9875, 607, 789, 3893, 1063, 476, 4037, 543, 476, 3445, 2600, 267, 543, 513, 2147, 21092, 1895, 4440, 6170, 811, 942, 693, 519, 2199, 1435, 1317, 789, 20639, 1063, 476, 4649, 543, 476, 3583, 2600, 269, 4634, 4686, 337, 941, 519, 2516, 602, 513, 1027, 610, 11207, 10514, 539, 519, 1449, 780, 2252, 519, 4116, 4941, 547, 14650, 875, 519, 9344, 593, 1010, 3803, 981, 941, 7856, 267, 646, 1223, 2721, 856, 513, 27008, 630, 5408, 7612, 476, 274, 269, 273, 269, 272, 264, 7474, 1131, 1397, 519, 1297, 540, 11400, 609, 8464, 602, 8593, 883, 1114, 9832, 780, 2252, 646, 1287, 26987, 1142, 6241, 538, 519, 27008, 676, 12270, 676, 519, 2698, 1297, 540, 11400, 630, 514, 713, 2013, 267, 476, 1911, 1070, 519, 27008, 1131, 849, 2285, 519, 4116, 513, 11315, 7447, 540, 519, 5506, 540, 16116, 606, 981, 693, 4351, 609, 513, 6060, 1063, 476, 3583, 543, 476, 4037, 269, 1403, 519, 4116, 4941, 547, 917, 1018, 519, 5506, 519, 981, 6060, 1131, 581, 1063, 476, 3583, 543, 476, 3445, 267, 646, 1223, 3274, 1039, 519, 9587, 602, 6719, 602, 2039, 1927, 547, 2285, 5128, 513, 2489, 2856, 780, 2252, 519, 4116, 3514, 513, 7455, 547, 519, 26987, 4528, 540, 519, 27008, 267, 865, 602, 519, 2698, 1858, 896, 519, 7455, 729, 3160, 547, 476, 272, 267, 646, 1223, 946, 5610, 547, 7447, 519, 5506, 540, 606, 981, 2348, 513, 6060, 1063, 1022, 1079, 2798, 269, 634, 4130, 519, 1858, 1063, 1079, 2798, 267, 519, 2539, 519, 5506, 602, 606, 981, 786, 723, 602, 6060, 269, 634, 3677, 519, 1858, 1063, 1079, 2798, 267, 519, 3152, 519, 5506, 540, 14477, 8939, 606, 981, 538, 602, 2039, 269, 1452, 17831, 616, 9672, 676, 519, 3312, 27008, 780, 4263, 713, 1448, 267, 596, 949, 581, 11842, 1946, 519, 4116, 1131, 1616, 547, 946, 513, 19034, 7455, 3079, 540, 1010, 3312, 27008, 547, 3313, 17831, 269, 634, 2601, 585, 713, 568, 602, 621, 568, 4443, 547, 5635, 14258, 267, 543, 3976, 267, 946, 873, 547, 2626, 2055, 269, 1403, 519, 4116, 3514, 14258, 547, 1896, 1032, 781, 4502, 540, 1277, 9999, 267, 646, 1223, 946, 873, 547, 3313, 952, 2348, 519, 1353, 8400, 1079, 2395, 1354, 519, 981, 5280, 610, 711, 780, 9202, 281, 24951, 5565, 27842, 281, 4147, 4328, 5455, 281, 31131, 5999, 540, 513, 19881, 281, 31131, 5999, 540, 513, 5231, 12039, 692, 12812, 585, 17002, 3659, 324, 569, 4528, 540, 713, 1215, 2414, 692, 29445, 10060, 1067, 476, 1220, 275, 268, 4962, 268, 866, 454, 285, 0, 258, 7665, 4476, 713, 20008, 6782, 781, 1858, 692, 272, 269, 9947, 476, 274, 267, 476, 1220, 280, 692, 2162, 715, 629, 21983, 514, 692, 296, 729, 17265, 930, 1617, 19041, 762, 11810, 950, 594, 3357, 2066, 606, 4277, 12366, 1436, 1966, 269, 634, 1966, 568, 713, 1384, 22428, 602, 513, 20008, 6782, 568, 7768, 540, 513, 13551, 547, 5529, 676, 606, 568, 30801, 6906, 269, 1403, 519, 3259, 540, 519, 15943, 568, 6378, 267, 1265, 519, 5021, 2009, 1858, 269, 630, 2690, 4605, 267, 1294, 281, 5291, 2517, 19112, 19657, 582, 984, 3089, 564, 2593, 270, 531, 321, 4548, 23218, 278, 1428, 270, 1372, 14410, 2006, 280, 9706, 550, 6782, 27970, 25589, 296, 2219, 621, 729, 513, 1187, 1966, 543, 23248, 930, 540, 596, 786, 3858, 269, 1306, 585, 519, 2626, 267, 594, 6415, 711, 1768, 1026, 569, 8746, 855, 594, 3893, 912, 2330, 288, 284, 15383, 10954, 2765, 346, 272, 2410, 275, 25490, 346, 274, 3686, 344, 317, 273, 9681, 4692, 4896, 6166, 602, 2496, 273, 269, 9947, 476, 274, 267, 476, 1220, 280, 692 ]

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

[ 0, 258, 1284, 666, 1118, 513, 3403, 1599, 538, 9226, 692, 4067, 815, 3403, 2891, 11767, 519, 8745, 2433, 19515, 720, 815, 703, 9272, 2891, 11767, 519, 2085, 2433, 834, 4297, 1948, 621, 781, 1058, 581, 2501, 538, 6715, 518, 3898, 3097, 2897, 815, 3403, 2891, 11767, 519, 1747, 2433, 19515, 4186, 716, 815, 703, 9272, 2891, 11767, 519, 3346, 1297, 2433, 834, 11723, 258, 11415, 11249, 5124, 966, 274, 269, 277, 454, 2745, 2891, 15916, 2622, 15419, 0, 5035, 25522, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3441, 267, 6991, 267, 2990, 267, 3742, 25716, 267, 7298, 18989, 267, 3595, 5334, 895, 6958, 32327, 22561, 267, 5734, 5334, 895, 6958, 32327, 22561, 2187, 1038, 1582, 6155, 600, 720, 815, 3441, 454, 1038, 1582, 269, 767, 6290, 815, 6991, 454, 1038, 1582, 269, 6570, 815, 2990, 454, 1038, 1582, 269, 5562, 815, 3742, 454, 1038, 1582, 269, 6665, 1043, 815, 7298, 454, 1038, 1582, 8807, 790, 5334, 895, 6958, 32327, 815, 3595, 5334, 895, 6958, 32327, 454, 1038, 1582, 19544, 527, 5334, 895, 6958, 32327, 815, 5734, 5334, 895, 6958, 32327, 692, 825, 1219, 9337, 4311, 2187, 1038, 1582, 269, 6570, 815, 1582, 269, 6570, 1341, 1582, 269, 767, 6290, 692, 825, 1219, 2721, 4311, 2187, 1038, 952, 1582, 269, 6665, 1043, 543, 1582, 269, 5562, 912, 2018, 1948, 10691, 292, 281, 28611, 649, 9327, 1405, 2322, 513, 1820, 538, 1934, 267, 855, 713, 568, 513, 12990, 585, 519, 1483, 2721, 1599, 454, 2018, 1948, 476, 649, 1522, 946, 952, 649, 941, 1210, 27368, 610, 27368, 14706, 454, 2018, 1820, 3488, 31624, 2280, 3299, 1582, 269, 6570, 267, 1582, 269, 767, 6290, 2020, 825, 1219, 6861, 4311, 2187, 1038, 1582, 269, 5562, 815, 8771, 454, 1038, 1582, 269, 6665, 1043, 815, 8771, 692, 825, 1219, 4019, 5091, 600, 720, 4311, 267, 5734, 318, 15953, 2187, 1038, 1820, 4311, 6155, 600, 720, 267, 1412, 17043, 720, 2944, 547, 3299, 5734, 318, 15953, 2020, 825, 1219, 3595, 4311, 2187, 1038, 952, 711, 1582, 269, 5562, 912, 2018, 1582, 269, 5562, 815, 6936, 692, 0, 5228, 30220, 1104, 30220, 267, 31764, 12265, 267, 942, 29773, 692, 5035, 3557, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 3854, 267, 2551, 815, 7183, 267, 575, 31198, 318, 4752, 3553, 815, 910, 280, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 5115, 1388, 815, 3854, 454, 1038, 1582, 21014, 1637, 815, 2551, 454, 1038, 1582, 3052, 31198, 318, 4752, 3553, 815, 575, 31198, 318, 4752, 3553, 22562, 825, 1219, 4159, 4311, 2187, 1038, 1820, 3488, 763, 3854, 540, 1412, 1341, 1582, 20508, 1341, 1412, 568, 1412, 1341, 1582, 269, 5115, 1388, 994, 8931, 825, 1219, 1205, 9078, 5914, 22710, 4311, 2187, 1038, 2132, 30220, 269, 852, 263, 5503, 29773, 269, 583, 322, 264, 1341, 31764, 12265, 22607, 2293, 284, 1345, 3052, 31198, 318, 4752, 3553, 994, 8931, 825, 1219, 2594, 10734, 597, 2195, 4311, 267, 2698, 10734, 597, 2195, 2187, 1038, 1582, 21014, 1637, 6834, 2698, 10734, 597, 2195, 22562, 825, 1219, 2594, 318, 1372, 23411, 4311, 267, 2698, 318, 1372, 23411, 2187, 1038, 1582, 21014, 1637, 6834, 2698, 318, 1372, 23411, 28329, 1038, 1948, 2052, 1405, 723, 513, 2942, 2551, 454, 1038, 952, 1582, 21014, 1637, 2999, 476, 271, 912, 2018, 1582, 21014, 1637, 815, 476, 271, 0, 5228, 28184, 5793, 1104, 27661, 5228, 28184, 5793, 1104, 19429, 658, 690, 454, 5228, 28184, 5793, 1104, 5048, 7901, 454, 5814, 15259, 692, 258, 1219, 6449, 8181, 9191, 10174, 267, 4487, 815, 7183, 2187, 258, 476, 453, 10174, 269, 3667, 815, 7956, 6025, 641, 267, 4463, 815, 476, 1220, 267, 8700, 815, 476, 1220, 994, 258, 476, 453, 10174, 269, 3667, 4877, 871, 10797, 3698, 7046, 17572, 10031, 453, 343, 815, 19429, 658, 690, 269, 2532, 13449, 16344, 17575, 263, 30976, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 3758, 18196, 815, 630, 2891, 3667, 6119, 14824, 29688, 339, 868, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 29514, 570, 454, 453, 307, 815, 7956, 20172, 994, 453, 307, 4877, 871, 4590, 453, 307, 27044, 263, 21715, 267, 13449, 3287, 1040, 1348, 15405, 28768, 453, 258, 3597, 269, 641, 839, 815, 19429, 658, 690, 269, 2532, 13449, 12803, 9852, 1712, 815, 262, 337, 3299, 30976, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 2140, 815, 834, 15675, 3758, 2580, 3758, 18196, 815, 630, 2891, 3667, 6119, 14824, 29688, 339, 868, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 258, 609, 1930, 20172, 269, 641, 839, 264, 607, 3758, 912, 453, 258, 476, 22610, 1775, 538, 3758, 912, 453, 258, 476, 453, 453, 10174, 269, 3667, 27044, 263, 21715, 267, 328, 994, 453, 258, 3240, 9078, 8475, 815, 22443, 20172, 267, 1257, 284, 3597, 269, 641, 839, 1040, 17569, 4590, 28768, 3698, 16440, 17572, 10031, 453, 258, 10174, 4732, 2314, 815, 19429, 658, 690, 269, 3696, 1511, 553, 16344, 17575, 263, 30976, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 2140, 815, 834, 15675, 3758, 2580, 3758, 18196, 815, 630, 2891, 329, 701, 326, 6119, 14824, 29688, 329, 17989, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 338, 2314, 815, 19429, 658, 690, 269, 3696, 1511, 553, 12803, 9852, 1712, 815, 262, 342, 3299, 3355, 323, 597, 815, 834, 322, 281, 270, 338, 2345, 327, 270, 2580, 476, 2140, 815, 834, 15675, 3758, 2580, 3758, 18196, 815, 630, 2891, 3667, 6119, 14824, 29688, 339, 868, 19823, 2891, 718, 6119, 14824, 29688, 265, 257, 21875, 453, 258, 3667, 815, 7956, 20172, 994, 453, 258, 3667, 4877, 871, 4590, 14851, 17990, 568, 7183, 912, 453, 16596, 454, 453, 3667, 273, 338, 1511, 815, 1193, 24867, 10947, 263, 272, 269, 271, 267, 13673, 291, 4917, 453, 338, 2314, 22182, 29495, 273, 338, 1511, 994, 453, 338, 2314, 25379, 3890, 28768, 3698, 6168, 10031, 453, 10174, 269, 916, 326, 815, 5048, 7901, 20481, 16769, 2891, 10666, 14824, 1607, 568, 513, 2241, 7956, 15503, 269, 1422, 333, 2791, 666, 1930, 512, 868, 6119, 543, 267, 1422, 985, 1511, 873, 547, 1776, 4087, 257, 9239, 10174, 815, 570, 330, 3890, 3097, 10174, 26644, 9497, 23911, 717, 21397, 910, 5915, 334, 5602, 10174, 269, 6625, 4226, 14090, 3488, 19507, 518, 269, 4815, 5073, 5443, 340, 815, 32386, 20172, 264, 3097, 10174, 26769, 14808, 263, 5443, 340, 284, 5443, 340, 264, 3097, 258, 3667, 815, 7956, 20172, 994, 258, 3667, 4877, 871, 4590, 12803, 318, 5443, 340, 815, 32386, 263, 5443, 340, 264, 3097, 5443, 340, 14491, 6831, 2444, 1228, 10857, 8475, 8782, 17572, 3299, 10624, 284, 12803, 318, 5443, 340, 264, 8528, 12803, 318, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 15411, 3299, 4971, 815, 7046, 17572, 994, 12803, 318, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 24591, 1306, 3299, 4971, 284, 16440, 17572, 994, 12803, 318, 5443, 340, 14491, 26000, 1706, 1807, 3890, 8528, 12803, 318, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 2750, 527, 3299, 4971, 284, 10174, 269, 10181, 264, 8528, 15276, 5443, 340, 815, 32386, 263, 5443, 340, 264, 3097, 5443, 340, 14491, 6831, 2444, 1228, 10857, 8475, 8782, 20055, 3299, 10624, 284, 15276, 5443, 340, 264, 3097, 15276, 5443, 340, 14491, 318, 12252, 10857, 8475, 8782, 10666, 262, 2073, 4971, 815, 6168, 264, 8528, 10852, 31467, 3890, 8528, 0, 5814, 5299, 454, 5814, 2979, 454, 5814, 19523, 692, 258, 29514, 4756, 454, 4148, 698, 318, 6247, 815, 476, 271, 7531, 258, 10818, 547, 2638, 2436, 519, 2016, 5569, 568, 513, 1297, 454, 3698, 2415, 318, 529, 5091, 580, 19304, 318, 1173, 2187, 672, 28768, 825, 585, 1775, 538, 1193, 318, 1173, 912, 672, 453, 31184, 815, 3921, 9217, 2020, 672, 14851, 630, 31184, 283, 4366, 610, 10917, 285, 6872, 264, 543, 1775, 256, 284, 8339, 12466, 672, 453, 825, 2132, 476, 271, 692, 825, 2132, 476, 272, 692, 258, 10818, 547, 2638, 2436, 519, 2016, 5569, 568, 513, 1915, 454, 3698, 2415, 318, 529, 318, 10420, 19304, 318, 1173, 2187, 672, 28768, 825, 952, 1193, 318, 1173, 314, 271, 316, 2652, 1412, 315, 5257, 1384, 672, 453, 1598, 318, 1173, 815, 3921, 19304, 318, 1173, 314, 272, 7481, 672, 16596, 1193, 318, 1173, 692, 825, 2132, 476, 271, 692, 258, 10818, 547, 1427, 516, 633, 519, 1871, 540, 513, 4756, 689, 519, 22712, 745, 921, 1239, 2497, 454, 3698, 22712, 318, 1091, 318, 4958, 4471, 557, 263, 15153, 318, 1091, 267, 28364, 318, 1467, 267, 15254, 17107, 825, 2518, 9206, 318, 6247, 692, 825, 585, 1775, 538, 2039, 263, 2017, 337, 318, 1467, 268, 272, 16427, 272, 16427, 272, 2187, 672, 453, 1467, 815, 22712, 318, 1091, 5157, 2639, 672, 28768, 672, 14851, 1899, 9131, 641, 11172, 2652, 1412, 8782, 543, 1899, 9131, 637, 11172, 2652, 15254, 912, 672, 453, 825, 952, 2415, 318, 529, 5091, 580, 263, 1467, 9131, 1173, 272, 11172, 2187, 672, 453, 672, 453, 4148, 698, 318, 6247, 815, 476, 272, 454, 672, 453, 672, 16596, 1899, 9131, 1173, 272, 262, 6540, 672, 453, 825, 3116, 912, 672, 453, 672, 453, 4148, 698, 318, 6247, 815, 476, 271, 454, 672, 453, 672, 16596, 910, 272, 692, 825, 9206, 318, 6247, 815, 476, 271, 454, 825, 2132, 910, 272, 7531, 258, 10818, 547, 2638, 952, 513, 1297, 568, 513, 1379, 540, 476, 273, 610, 711, 454, 3698, 568, 7272, 1077, 15058, 318, 273, 3799, 17107, 825, 2132, 562, 543, 630, 2254, 3799, 261, 263, 333, 268, 272, 4297, 2020, 692, 258, 10818, 547, 1685, 3586, 24208, 5688, 5314, 454, 3698, 3586, 6958, 13783, 318, 9953, 263, 15153, 318, 1091, 17107, 825, 524, 274, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 263, 15153, 318, 1091, 4297, 1384, 672, 453, 1467, 815, 22712, 318, 1091, 5157, 6540, 672, 453, 258, 321, 2435, 12427, 454, 672, 14851, 7003, 263, 1467, 264, 2525, 275, 912, 672, 453, 825, 2415, 272, 6831, 815, 2415, 318, 529, 318, 10420, 263, 1467, 9131, 1173, 272, 262, 7481, 672, 453, 825, 2415, 273, 6831, 815, 2415, 318, 529, 318, 10420, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 8931, 672, 453, 825, 952, 2415, 272, 6831, 912, 672, 453, 672, 453, 1467, 9131, 1173, 272, 11172, 815, 1193, 263, 1173, 272, 6831, 2020, 672, 453, 825, 952, 2415, 273, 6831, 912, 672, 453, 672, 453, 1467, 9131, 1173, 273, 11172, 815, 1193, 263, 1173, 273, 6831, 2020, 672, 453, 825, 1948, 321, 2435, 7132, 2433, 1412, 266, 7055, 672, 453, 825, 952, 1899, 9131, 641, 11172, 2652, 1412, 266, 12466, 672, 453, 672, 453, 1173, 272, 6958, 815, 2415, 318, 529, 5091, 580, 263, 1467, 9131, 1173, 272, 262, 7481, 672, 453, 672, 453, 1173, 273, 6958, 815, 2415, 318, 529, 5091, 580, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 672, 28768, 672, 453, 672, 453, 258, 18485, 519, 7440, 616, 21635, 454, 672, 453, 672, 14851, 2415, 272, 6958, 543, 2415, 273, 6958, 1384, 672, 453, 672, 453, 825, 1948, 821, 610, 1312, 519, 7440, 616, 13735, 1448, 2338, 454, 672, 453, 672, 453, 825, 952, 1412, 9538, 538, 1899, 9131, 1173, 272, 11172, 610, 1412, 9538, 538, 1899, 9131, 1173, 273, 11172, 912, 672, 453, 672, 453, 672, 453, 31184, 21223, 1998, 815, 10581, 263, 1467, 9131, 1173, 272, 262, 8079, 1341, 10581, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 641, 11172, 815, 1412, 284, 7055, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 1173, 272, 11172, 815, 1193, 6025, 11391, 21223, 1998, 994, 672, 453, 672, 453, 672, 453, 23437, 22712, 318, 1091, 5157, 6012, 262, 1173, 273, 23300, 672, 453, 672, 453, 672, 453, 322, 274, 815, 476, 272, 692, 672, 453, 672, 453, 825, 1948, 1492, 7440, 616, 9981, 454, 672, 453, 672, 453, 825, 3116, 912, 672, 453, 672, 453, 672, 453, 31184, 21223, 1998, 815, 703, 263, 1467, 9131, 1173, 272, 262, 8079, 1341, 703, 263, 1467, 9131, 1173, 273, 262, 7481, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 641, 11172, 815, 1412, 284, 7055, 672, 453, 672, 453, 672, 453, 15153, 318, 1091, 5157, 6012, 262, 1173, 272, 11172, 815, 1193, 6025, 11391, 21223, 1998, 994, 672, 453, 672, 453, 672, 453, 23437, 22712, 318, 1091, 5157, 6012, 262, 1173, 273, 23300 ]

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

[ 2742, 267, 519, 10615, 540, 12624, 338, 2549, 14607, 600, 730, 4139, 1767, 602, 13241, 568, 3078, 585, 1053, 1317, 540, 519, 1445, 593, 15834, 1565, 1818, 621, 606, 11108, 1259, 540, 4051, 532, 267, 1565, 543, 5647, 269, 1358, 849, 9415, 7855, 543, 13538, 547, 1711, 513, 18398, 1604, 543, 513, 3099, 540, 2238, 585, 1453, 547, 2263, 13241, 563, 4263, 519, 1439, 540, 519, 13186, 267, 5171, 941, 2111, 547, 1174, 602, 952, 13241, 568, 5265, 6026, 267, 621, 8992, 7787, 3206, 267, 7279, 543, 606, 1620, 540, 519, 2470, 540, 3163, 267, 5303, 267, 7177, 267, 9119, 543, 16743, 10838, 1762, 20338, 269, 589, 16419, 13241, 2534, 6054, 729, 849, 3838, 10838, 2947, 630, 276, 264, 7855, 945, 4941, 547, 2253, 13241, 15731, 585, 6281, 1153, 1053, 269, 13241, 328, 631, 5474, 4000, 543, 12624, 338, 2549, 14607, 600, 730, 4139, 723, 1044, 2111, 547, 1780, 2066, 713, 1360, 1271, 5048, 540, 13241, 2069, 267, 1628, 2875, 6015, 543, 2327, 602, 789, 8275, 741, 1761, 563, 10287, 13241, 328, 631, 5474, 4000, 593, 281, 23562, 7867, 281, 7711, 23727, 328, 22152, 320, 9365, 281, 7711, 23727, 328, 22152, 320, 17749, 281, 7711, 980, 328, 8548, 5474, 318, 2378, 878, 320, 267, 570, 3518, 331, 337, 281, 7711, 980, 807, 325, 878, 629, 8421, 454, 296, 9188, 2986, 2317, 568, 4867, 513, 12854, 9906, 693, 519, 2160, 540, 2274, 2644, 269, 4173, 1382, 6212, 593, 3540, 2486, 543, 12477, 538, 5355, 519, 2298, 540, 2069, 269, 2701, 568, 519, 13653, 540, 19164, 25204, 19541, 543, 9375, 540, 19164, 25204, 27545, 269, 594, 9188, 568, 1360, 13730, 827, 2069, 543, 2870, 606, 8537, 2486, 269, 2701, 14753, 3943, 543, 2296, 2770, 1836, 269, 2701, 666, 581, 6603, 693, 18078, 17106, 11333, 3820, 0, 763, 4266, 1299, 1554, 1310, 476, 7761, 2395, 689, 4653, 4864, 476, 6860, 267, 568, 13638, 1554, 540, 1032, 267, 3018, 540, 1032, 267, 3018, 540, 3923, 1299, 10116, 540, 519, 1032, 538, 519, 15535, 20187, 11706, 1547, 1548, 4266, 568, 476, 7761, 2395, 689, 2221, 27085, 12433, 519, 4266, 602, 4386, 4010, 476, 7761, 2395, 689, 1631, 630, 21671, 1870, 2395, 610, 1152, 3018, 17058, 1040, 5239, 25038, 563, 763, 11261, 18185, 8591, 610, 10208, 338, 2395, 267, 4374, 267, 3275, 543, 1296, 689, 513, 2016, 4266, 269, 13600, 281, 1315, 269, 4303, 281, 1315, 269, 5729, 281, 11261, 281, 4653, 269, 5410, 270, 8138, 339, 847, 281, 22791, 264, 5410, 267, 630, 1700, 264, 16265, 847, 269, 13012, 281, 3933, 2195, 281, 1284, 4060, 281, 17963, 281, 3417, 519, 942, 6423, 875, 1279, 3788, 1354, 513, 21120, 610, 4010, 950, 1346, 476, 1789, 2395, 616, 909, 269, 2859, 5788, 25038, 609, 20446, 3983, 613, 269, 634, 2780, 21410, 519, 8653, 1063, 1079, 7389, 538, 1296, 267, 2395, 267, 3108, 267, 543, 901, 3498, 11887, 519, 5993, 267, 5662, 267, 3764, 543, 1297, 540, 7643, 1063, 1079, 2053, 610, 2395, 267, 3108, 267, 3764, 267, 3767, 281, 476, 5400, 270, 4962, 32551, 476, 5881, 7537, 25038, 3018, 9498, 4518, 1485, 9498, 25980, 9498, 4032, 6658, 269, 4270, 267, 2687, 547, 3194, 2494, 13519, 338, 262, 11706, 267, 2221, 781, 4266, 568, 11728, 267, 5147, 476, 272, 267, 547, 476, 7761, 2395, 689, 1631, 267, 649, 540, 1576, 20039, 585, 20014, 1032, 267, 875, 1082, 2395, 538, 563, 11754, 610, 10208, 2395, 267, 4374, 610, 3275, 689, 513, 2016, 4266, 910, 2241, 543, 2656, 4266, 9373, 2630, 875, 1082, 2395, 267, 3275, 3092, 269, 596, 1616, 547, 1039, 610, 10208, 269, 2395, 563, 9773, 9725, 29502, 269, 962, 16518, 269, 4653, 269, 8751, 6563, 269, 5410, 610, 16265, 847, 269, 1341, 11754, 267, 910, 8138, 901, 4266, 9498, 666, 1039, 610, 10208, 2395, 267, 4374, 267, 3275, 543, 5924, 1296, 547, 17006, 543, 18946, 7389, 1210, 513, 11706, 666, 581, 2352, 543, 942, 10438, 269, 9819, 8259, 596, 917, 519, 1808, 3275, 543, 875, 1279, 1142, 3923, 568, 563, 13911, 519, 1101, 4266, 630, 324, 3052, 269, 2221, 1040, 1215, 1082, 2395, 798, 596, 1616, 547, 1039, 610, 10208, 547, 519, 4266, 286, 2395, 4033, 9273, 538, 11706, 267, 10203, 2395, 3092, 269, 4855, 856, 875, 1082, 2395, 972, 616, 1063, 1022, 1079, 7389, 267, 552, 269, 634, 9498, 2636, 30486, 11706, 7389, 267, 855, 596, 3112, 3575, 30486, 543, 15535, 20187, 1547, 12433, 513, 4266, 476, 3445, 2395, 689, 1631, 267, 476, 2568, 2395, 1354, 2221, 267, 610, 1022, 715, 2395, 3057, 476, 272, 267, 1547, 546, 271, 267, 1535, 326, 267, 476, 274, 337, 267, 513, 324, 267, 554, 333, 267, 561, 332, 267, 552, 321, 267, 579, 320, 267, 524, 321, 267, 476, 271, 336, 267, 544, 323, 267, 552, 345, 267, 7117, 326, 267, 476, 275, 331, 267, 476, 279, 331, 267, 535, 345, 267, 530, 275, 267, 476, 274, 339, 267, 632, 267, 476, 279, 322, 267, 7117, 324, 2073, 476, 7761, 267, 10264, 267, 15848, 269, 9509, 5729, 13129, 910, 4303, 540, 519, 5729, 543, 17963, 2451, 11489, 519, 7736, 540, 519, 5729, 269, 476, 1724, 267, 13723, 267, 476, 7761, 267, 476, 1691, 267, 13628, 267, 476, 10463, 267, 476, 1428, 267, 11016, 267, 476, 10619, 10371, 4303, 22388, 1215, 1082, 2395, 543, 5924, 4374, 616, 972, 1063, 1079, 11706, 7389, 269, 5410, 610, 16265, 847, 4586, 11754, 610, 16265, 847, 7089, 540, 17963, 547, 513, 11261, 6726, 725, 910, 2228, 26732, 269, 5410, 610, 16265, 847, 513, 7089, 540, 1284, 4060, 543, 5924, 17963, 547, 513, 11261, 18185, 4303, 22388, 1215, 1082, 1296, 267, 3275, 543, 2395, 616, 972, 1063, 1079, 11706, 7389, 563, 763, 1032, 814, 2395, 269, 4653, 630, 1485, 11261, 267, 4303, 1297, 267, 17963, 6967, 267, 17963, 689, 2221, 1547, 476, 1724, 267, 630, 26607, 1070, 4303, 476, 7761, 267, 2073, 2073, 10432, 476, 1556, 267, 4939, 269, 3057, 563, 9773, 9725, 5999, 1299, 12226, 585, 3642, 18501, 32390, 1678, 1401, 4461, 267, 290, 2969, 267, 294, 12442, 267, 8890, 560, 32390, 1678, 14597, 2221, 568, 11016, 267, 1018, 1554, 540, 519, 3018, 786, 621, 581, 476, 4792, 2395, 689, 1631, 286, 563, 2005, 781, 4277, 267, 1317, 519, 2904, 534, 11706, 723, 2395, 543, 2947, 3063, 2395, 269, 3767, 1413, 1934, 267, 476, 7761, 1341, 476, 272, 1900, 593, 1283, 568, 476, 10463, 3268, 1535, 476, 276, 815, 2395, 540, 519, 1032, 269, 2060, 3102, 1344, 827, 11706, 1949, 267, 942, 10851, 267, 3140, 5712, 267, 12433, 519, 1699, 942, 610, 513, 3259, 540, 942, 543, 12337, 519, 3017, 1063, 7389, 269, 4855, 856, 519, 1699, 4266, 543, 942, 281, 1631, 269, 10410, 1518, 513, 4266, 676, 922, 1747, 593, 519, 11706, 281, 3791, 13638, 538, 4989, 1215, 1082, 2395, 2394, 8534, 4303, 27085, 1215, 1082, 2395, 2394, 8285, 7790, 568, 707, 8285, 4032, 6658, 8206, 5590, 621, 607, 707, 1753, 2457, 547, 1293, 519, 1297, 540, 2395, 2394, 563, 763, 31597, 3619, 3562, 6651, 585, 7981, 17963, 267, 1284, 4060, 543, 3933, 2195, 3798, 6002, 540, 932, 848, 781, 2622, 538, 476, 7761, 17963, 281, 7788, 643, 267, 3967, 476, 1839, 1306, 11017, 13665, 9061, 525, 2475, 593, 21696, 3724, 281, 7788, 643, 267, 7126, 9549, 5853, 532, 281, 7788, 643, 267, 9484, 476, 736, 715, 8582, 5853, 539, 281, 7788, 643, 267, 9947, 476, 1789, 3131, 9469, 563, 29687, 10185, 267, 5437, 476, 1321, 267, 3738, 2659, 1813, 4266, 568, 2395, 630, 4343, 4374, 264, 2663, 630, 11728, 267, 4864, 476, 276, 476, 2412, 4374, 9176, 267, 476, 271, 2395, 547, 979, 10371, 2904, 476, 1839, 267, 476, 7761, 2395, 547, 979, 269, 476, 1321, 267, 476, 1321, 267, 476, 6246, 267, 476, 7761, 267, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 476, 1724, 267, 476, 1724, 267, 476, 4510, 267, 476, 10463, 267, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 2073, 476, 1691, 267, 476, 1691, 267, 476, 3393, 267, 476, 10619, 267, 2073, 2073, 2073, 2073, 6156, 639, 630, 31142, 585, 834, 28669, 566, 8442, 568, 513, 9819, 602, 11887, 519, 11706, 4266, 540, 14914, 269, 2755, 14914, 1631, 8813, 693, 519, 9998, 593, 519, 476, 1428, 628, 540, 519, 16264, 3923, 543, 693, 519, 5767, 593, 519, 476, 2641, 560, 267, 538, 930, 2127, 267, 621, 1031, 547, 10371, 634, 16264, 1032, 568, 827, 476, 1556, 2395, 10156, 982, 519, 11706, 1032, 267, 799, 568, 2901, 610, 2395, 1279, 563, 288, 3018, 568, 513, 942, 1770, 3160, 547, 5722, 2395, 269, 898, 568, 519, 3044, 942, 1974, 1031, 585, 9979, 540, 1964, 476, 272, 15535, 20187, 11706, 1032, 815, 476, 7367, 4374, 1341, 476, 272, 1554, 630, 273, 2395, 538, 513, 20014, 1032, 5148, 476, 272, 3018, 815, 2340, 479, 482, 10371, 602, 3018, 781, 13628, 630, 810, 602, 952, 513, 1032, 6238, 538, 513, 1279, 15964, 11016, 1700, 306, 1495, 599, 267, 3018, 1297, 835, 540, 519, 1032, 786, 1376, 1310, 602, 1040, 594, 1294, 538, 519, 1473, 773, 2221, 602, 1507, 10909, 3328, 513, 7227, 540, 476, 7761, 2395, 547, 581, 1547, 1284, 2811, 2484, 689, 1804, 543, 1045, 4069, 593, 519, 476, 272, 560, 540, 519, 3923, 585, 2533, 269, 1280, 1383, 267, 519, 3259, 540, 519, 9341, 1032, 568, 4867, 2395, 269, 4728, 25668, 514, 2135, 1296, 616, 3160, 547, 2073, 2395, 267, 4849, 585, 513, 11539, 540, 476, 7761, 3764, 269, 4208, 1058, 649, 5855, 827, 602, 2221, 286, 2436, 513, 1032, 11706, 568, 269, 0, 18184, 1841, 2443, 1018, 6267, 1058, 917, 630, 20880, 264, 543, 581, 2111, 547, 798, 630, 12921, 1571, 1070, 4196, 607, 519, 5943, 585, 6437, 1646, 269, 11621, 538, 715, 4696, 1530, 22770, 6377, 13491, 626, 3506, 2992, 513, 19978, 1299, 13491, 626, 23381, 2066, 519, 918, 268, 1321, 21195, 607, 1134, 607, 519, 5610, 540, 3084, 543, 21621, 270, 8063, 4441, 563, 20112, 523, 19835, 9142, 24693, 519, 6426, 607, 519, 3044, 676, 799, 3388, 3116, 568, 6027, 269, 9050, 1883, 2035, 10836, 689, 513, 13400, 23381, 602, 666, 581, 1031, 607, 513, 7828, 585, 6437, 1646, 267, 607, 1134, 607, 26655, 519, 1898, 2055, 543, 2462, 2093, 540, 1022, 1543, 1858, 912, 18184, 1841, 585, 18520, 20043, 538, 1530, 22770, 6377, 13491, 626, 12140, 723, 1044, 2919, 547, 3391, 606, 14292, 1982, 602, 568, 29689, 609, 4168, 5132, 543, 606, 13491, 626, 23381, 269, 1323, 2069, 540, 713, 2186, 5012, 547, 2178, 4081, 2208, 543, 513, 2312, 4605, 540, 2441, 543, 3571, 2648, 585, 18495, 269, 1452, 4441, 1445, 593, 1018, 1053, 1058, 917, 267, 1174, 543, 581, 2111, 547, 798, 563, 13553, 776, 4441, 585, 519, 6035, 6030, 9585, 519, 1739, 281, 0, 14722, 723, 11943, 602, 519, 4279, 4446, 8175, 24035, 666, 1100, 3476, 581, 10710, 1317, 621, 568, 865, 8697, 563, 763, 726, 697, 540, 519, 11818, 568, 14356, 1813, 547, 519, 968, 2169, 571, 867, 2435, 4028, 640, 892, 540, 2916, 1689, 267, 2687, 547, 4966, 563, 763, 11818, 814, 1044, 16094, 8697, 676, 519, 8337, 540, 519, 12084, 267, 543, 1472, 476, 4817, 829, 1298, 540, 621, 23119, 689, 6926, 2286, 267, 2687, 547, 3744, 945, 23500, 621, 538, 476, 1001, 277, 563, 32546, 723, 1767, 519, 8733, 1599, 540, 519, 11818, 1058, 581, 9738, 607, 1454, 607, 2009, 538, 4947, 1296, 267, 855, 602, 519, 11818, 3294, 786, 711, 581, 10710, 538, 922, 1699, 1106, 563, 288, 12233, 540, 4966, 1305, 909, 676, 519, 8241, 2229, 1767, 519, 14758, 3077, 540, 968, 23181, 532, 519, 8733, 1599, 892, 540, 519, 11818, 568, 811, 10853, 982, 32006, 1645, 621, 563, 763, 4279, 4446, 8175, 24035, 13149, 5244, 16958, 6045, 1018, 713, 1131, 1611, 281, 968, 763, 1523, 540, 2048, 10852, 8877, 8733, 1599, 685, 4016, 547, 519, 3666, 540, 8733, 3157, 2556, 585, 519, 11818, 5117, 607, 513, 2898, 547, 6414, 267, 855, 5310, 538, 513, 1114, 1106, 267, 15663, 519, 5888, 543, 2497, 949, 8428, 689, 1018, 568, 4867, 2938, 2221, 9731, 5445, 1767, 789, 941, 968, 684, 1243, 538, 741, 6161, 827, 519, 3978, 1145, 540, 519, 5222, 6849, 519, 24035, 543, 11943, 602, 14147, 6926, 2286, 2094, 2038, 476, 1001, 277, 814, 4957, 519, 24035, 21739, 6100, 0, 300, 12818, 2088, 3131, 8527, 5130, 476, 273, 267, 476, 1708, 271, 18014, 15026, 11242, 454, 26660, 5288, 10829, 640, 269, 2368, 1863, 3211, 616, 711, 1434, 2298, 1107, 519, 5961, 616, 27967, 267, 10080, 1820, 15454, 610, 1179, 330, 1194, 1107, 543, 1453, 4043, 547 ]

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

[ 267, 1412, 529, 972, 513, 2078, 1063, 2242, 538, 519, 1079, 5817, 4632, 286, 10807, 568, 12943, 676, 7384, 711, 519, 9756, 3294, 630, 337, 17032, 1070, 855, 2864, 519, 8579, 1449, 540, 602, 9756, 630, 335, 17032, 2020, 2691, 602, 8579, 1449, 568, 1713, 267, 621, 568, 519, 1101, 1900, 547, 18505, 2590, 519, 4527, 540, 513, 21465, 3060, 5817, 519, 2078, 1851, 4632, 971, 607, 2473, 543, 962, 692, 1892, 8074, 602, 519, 4527, 540, 606, 9678, 9756, 1281, 711, 17538, 513, 1880, 21465, 2078, 267, 610, 1256, 602, 1022, 21465, 3060, 6818, 692, 1892, 513, 9756, 1590, 581, 4767, 9846, 547, 581, 5156, 692, 1892, 1717, 267, 519, 4527, 540, 513, 9846, 268, 10849, 5703, 9756, 1063, 1079, 4632, 1281, 8197, 2303, 519, 4527, 540, 513, 1109, 320, 21465, 3060, 692, 1892, 513, 21465, 3060, 568, 711, 519, 1482, 607, 513, 2241, 21465, 6935, 1063, 1079, 4632, 692, 1432, 568, 519, 7954, 540, 19250, 1412, 11687, 532, 262, 513, 9756, 2496, 763, 2596, 7954, 540, 519, 8579, 9756, 1449, 568, 1759, 593, 519, 1249, 602, 267, 1256, 950, 972, 568, 1100, 5276, 2078, 1063, 519, 1079, 4632, 540, 1719, 630, 311, 543, 962, 1070, 513, 9756, 17223, 689, 6151, 1239, 786, 18562, 711, 581, 4642, 269, 1306, 609, 782, 8579, 4152, 596, 4061, 616, 12394, 547, 3313, 952, 519, 6027, 1871, 540, 519, 18802, 267, 519, 9756, 17223, 689, 519, 1239, 267, 568, 2484, 2614, 689, 4642, 585, 596, 547, 9959, 602, 972, 568, 538, 1249, 513, 5276, 2078, 1063, 2473, 543, 962, 780, 763, 8579, 1449, 540, 519, 9756, 19320, 519, 7954, 540, 782, 8579, 8367, 4255, 692, 1103, 5618, 281, 1109, 2171, 8263, 972, 568, 4642, 9756, 1063, 2473, 543, 962, 4632, 267, 543, 1287, 12337, 10386, 17831, 1759, 593, 713, 13429, 267, 547, 1294, 952, 519, 5506, 540, 1535, 3917, 1109, 323, 21648, 1115, 693, 2547, 607, 3665, 607, 519, 4767, 10471, 568, 1447, 982, 513, 840, 1606, 564, 21205, 780, 1892, 13405, 547, 1239, 4015, 267, 649, 5581, 1384, 1892, 634, 14275, 8367, 1496, 6518, 29102, 4642, 9756, 1063, 2473, 543, 962, 4632, 6540, 1892, 634, 1109, 5231, 910, 322, 761, 19118, 1496, 6518, 568, 2356, 1305, 547, 1109, 30336, 1109, 284, 476, 271, 269, 4962, 610, 476, 271, 269, 4905, 6540, 1892, 476, 1109, 2171, 1287, 12337, 519, 10386, 3892, 585, 519, 9756, 18802, 267, 14322, 602, 519, 14275, 8367, 568, 2953, 692, 1892, 1452, 10386, 17831, 2995, 721, 875, 4749, 649, 666, 2503, 547, 7747, 1239, 21374, 630, 337, 2418, 264, 540, 1585, 7306, 950, 972, 568, 2098, 2207, 302, 5817, 5276, 2078, 692, 1892, 634, 13672, 2275, 761, 19118, 666, 581, 2938, 3113, 1227, 607, 519, 2766, 268, 19327, 540, 519, 10386, 3892, 4171, 5506, 2527, 568, 1109, 7545, 630, 1492, 1858, 896, 519, 7455, 538, 8431, 269, 476, 273, 1063, 1109, 1923, 337, 347, 815, 476, 271, 269, 6246, 267, 519, 4767, 1239, 9756, 267, 543, 1109, 1923, 337, 347, 815, 476, 272, 2020, 1892, 3245, 519, 10386, 3892, 267, 12337, 519, 533, 17032, 25991, 692, 1892, 901, 568, 519, 1858, 896, 519, 7455, 1063, 1923, 337, 347, 815, 678, 323, 520, 543, 1923, 337, 347, 815, 476, 272, 630, 514, 8431, 269, 476, 273, 267, 519, 15454, 6879, 12184, 3148, 538, 519, 21217, 540, 519, 10386, 3892, 264, 25991, 692, 1892, 1403, 519, 533, 17032, 568, 1447, 982, 519, 1109, 30336, 1109, 322, 761, 19118, 630, 553, 621, 568, 538, 8431, 269, 476, 273, 1070, 596, 7947, 519, 14275, 8367, 267, 543, 8263, 972, 568, 8197, 513, 5276, 2078, 8220, 519, 2473, 543, 962, 4632, 269, 25991, 692, 1692, 568, 519, 8579, 9756, 1449, 17223, 543, 14648, 2496, 2414, 3313, 952, 519, 1871, 540, 519, 4767, 1239, 9756, 568, 18481, 2484, 689, 4642, 267, 596, 1384, 272, 269, 27539, 602, 519, 14275, 8367, 267, 670, 271, 267, 568, 2953, 692, 273, 269, 3245, 713, 13429, 267, 12337, 519, 10386, 3892, 540, 519, 678, 3613, 520, 2065, 630, 8993, 269, 476, 273, 2020, 274, 269, 30770, 519, 533, 17032, 2404, 609, 519, 4767, 678, 3613, 520, 2065, 25991, 692, 275, 269, 1403, 713, 1109, 335, 17032, 568, 2630, 707, 840, 1606, 564, 1109, 30336, 1109, 322, 761, 19118, 267, 1109, 14632, 476, 1109, 267, 7947, 670, 271, 692, 763, 1101, 1614, 3268, 540, 713, 5650, 1205, 19316, 1524, 547, 513, 2582, 1899, 540, 2780, 3009, 602, 7024, 1312, 519, 1239, 9756, 267, 678, 267, 543, 519, 2404, 533, 17032, 269, 1411, 1287, 3274, 5635, 519, 533, 17032, 8120, 676, 519, 2780, 3009, 609, 707, 840, 1606, 564, 1109, 30336, 1109, 322, 761, 19118, 780, 4131, 781, 798, 513, 5249, 1383, 547, 1205, 513, 1745, 585, 519, 538, 1790, 15462, 5650, 1384, 5575, 267, 4063, 602, 596, 1131, 7363, 723, 513, 10471, 7222, 547, 8097, 7422, 267, 546, 267, 3144, 693, 1585, 2157, 540, 1776, 4756, 267, 1535, 269, 1284, 786, 1711, 971, 513, 10471, 676, 17511, 1384, 343, 284, 15631, 1015, 281, 1015, 316, 262, 282, 546, 284, 15631, 1015, 281, 1015, 316, 262, 266, 280, 265, 8681, 333, 263, 2641, 267, 272, 32007, 10190, 267, 649, 3489, 678, 543, 533, 268, 11161, 676, 17511, 1384, 314, 337, 533, 24557, 14585, 337, 3287, 28504, 2020, 6546, 781, 2731, 782, 972, 568, 547, 621, 267, 4352, 594, 723, 3177, 811, 3877, 593, 519, 26398, 3238, 538, 11264, 713, 8367, 1449, 1934, 780, 763, 4729, 538, 8431, 269, 476, 273, 2306, 621, 2312, 602, 519, 678, 3613, 520, 2065, 5833, 689, 938, 20533, 1239, 267, 678, 815, 476, 271, 269, 7871, 568, 3152, 982, 519, 21205, 9756, 1871, 267, 678, 322, 761, 815, 476, 271, 269, 6246, 267, 6508, 689, 1109, 7545, 543, 4061, 891, 1239, 6556, 513, 2048, 560, 520, 12264, 1713, 685, 8367, 1449, 25991, 692, 1892, 769, 824, 1913, 267, 649, 7947, 670, 271, 692, 1892, 678, 323, 520, 568, 2417, 689, 519, 11236, 540, 670, 271, 982, 519, 12939, 1871, 1109, 21683, 761, 3989, 676, 1109, 5231, 16317, 1432, 798, 649, 6038, 1451, 689, 513, 8579, 9756, 1449, 2496, 2467, 568, 930, 11029, 1399, 538, 519, 5912, 1063, 7893, 519, 2450, 540, 519, 1239, 9756, 543, 543, 519, 8990, 602, 972, 568, 513, 19250, 1713, 3017, 1063, 519, 1239, 543, 519, 11236, 540, 670, 271, 692, 1103, 1880, 267, 1109, 1889, 5501, 906, 543, 513, 29138, 4255, 1109, 732, 3982, 2409, 609, 3833, 1114, 26398, 267, 865, 621, 568, 1271, 547, 1294, 547, 1018, 6708, 519, 9756, 1449, 13054, 606, 8367, 1449, 543, 711, 3274, 513, 6482, 780, 1892, 634, 1883, 547, 1620, 519, 3017, 568, 547, 1413, 693, 519, 1109, 28669, 725, 1109, 7424, 5340, 692, 1892, 589, 6482, 568, 1759, 593, 513, 1109, 338, 17532, 1109, 22238, 1464, 3892, 602, 6645, 721, 519, 1034, 2693, 2418, 540, 519, 5817, 5365, 10484, 1892, 589, 8367, 1449, 630, 16347, 6476, 264, 568, 1759, 593, 519, 10171, 540, 519, 8367, 1373, 2953, 267, 799, 3340, 602, 519, 10171, 338, 630, 528, 17831, 264, 540, 12721, 19165, 581, 17223, 543, 3379, 780, 1892, 769, 1312, 2665, 267, 519, 10471, 630, 291, 264, 568, 519, 1271, 1344, 602, 2488, 2963, 585, 519, 3932, 692, 1892, 769, 519, 2013, 540, 513, 6482, 267, 602, 19106, 3096, 519, 1239, 547, 12337, 519, 10171, 936, 5817, 9756, 2418, 692, 1892, 901, 568, 1360, 2147, 547, 519, 5650, 1031, 547, 12337, 513, 10386, 3892, 267, 519, 4493, 585, 519, 678, 23150, 267, 538, 602, 1312, 7048, 593, 513, 2582, 2203, 540, 519, 1239, 1496, 1877, 267, 586, 815, 1526, 1341, 6846, 316, 585, 741, 19106, 25991, 338, 780, 1892, 769, 519, 2013, 540, 8367, 4152, 267, 602, 19106, 3096, 519, 1239, 547, 12337, 519, 10171, 1599, 936, 2009, 19165, 25991, 267, 1141, 1142, 8367, 29102, 513, 1114, 2203, 540, 519, 1239, 1496, 324, 3052, 1421, 586, 815, 1526, 1341, 6846, 5288, 269, 586, 815, 1109, 476, 1109, 272, 3287, 264, 1341, 6846, 267, 5288, 269, 586, 815, 1109, 476, 1109, 273, 3287, 264, 1341, 6846, 267, 31756, 1421, 1141, 1109, 30336, 1109, 11161, 616, 3586, 855, 7164, 6540, 1892, 4039, 4800, 593, 10386, 14778, 12857, 513, 1297, 540, 12755, 538, 519, 8579, 1449, 267, 1519, 281, 25991, 692, 1892, 3668, 540, 606, 2702, 547, 16174, 1851, 12721, 4244, 19165, 25991, 692, 1892, 1100, 2702, 585, 6901, 547, 1683, 2963, 1109, 325, 822, 1681, 1022, 8367, 630, 333, 1638, 610, 6382, 2020, 321, 18847, 540, 2985, 0, 267, 476, 1691, 269, 4962, 269, 1708, 271, 339, 599, 529, 692, 258, 1403, 513, 272, 815, 476, 276, 543, 513, 278, 815, 476, 1704, 267, 1265, 519, 1455, 3017, 692, 323, 284, 273, 692, 3721, 8386, 9912, 7778, 1384, 320, 272, 284, 276, 267, 513, 278, 815, 1704, 692, 1704, 284, 276, 266, 277, 323, 692, 1321, 284, 277, 323, 692, 273, 284, 323, 692, 323, 284, 476, 273, 692, 3721, 8386, 9912, 7778, 1384, 534, 284, 513, 272, 23444, 333, 268, 272, 264, 323, 692, 1704, 284, 476, 276, 1341, 630, 278, 268, 272, 264, 323, 692, 1704, 284, 476, 276, 266, 476, 277, 323, 692, 277, 323, 284, 476, 1704, 268, 276, 692, 277, 323, 284, 476, 1321, 692, 323, 284, 476, 273, 692, 19489, 300, 308, 6369, 281, 606, 815, 513, 272, 266, 630, 333, 268, 272, 264, 546, 692, 1704, 284, 276, 23444, 278, 268, 272, 264, 546, 692, 268, 276, 266, 1704, 284, 277, 323, 692, 1321, 270, 277, 284, 277, 323, 270, 277, 692, 3198, 14684, 2207, 281, 634, 1455, 3017, 568, 476, 273, 780, 2162, 4033, 2055, 593, 519, 1641, 281, 4569, 692, 13043, 267, 476, 2764, 269, 1015, 269, 1001, 280, 267, 6777, 4905, 454, 13043, 267, 476, 2764, 269, 1015, 269, 1001, 280, 267, 512, 599, 529, 454, 13043, 267, 476, 2764, 269, 1015, 269, 1001, 280, 267, 562, 1564, 335, 553, 32455, 454, 13043, 267, 476, 1691, 269, 1556, 269, 1001, 280, 267, 22946, 28755, 1188, 6507, 278, 454, 272, 269, 5400, 568, 1224, 607, 2290, 630, 272, 264, 543, 5216, 630, 279, 264, 4627, 2195, 6507, 20870, 338, 610, 476, 6507, 270, 1911, 815, 476, 278, 269, 3583, 11997, 272, 269, 5400, 1341, 476, 278, 269, 3583, 815, 476, 279, 269, 4281, 1862, 5649, 2859, 0, 258, 6323, 692, 288, 476, 14530, 271, 10275, 326, 5198, 8364, 568, 6117, 1472, 513, 9764, 3950, 540, 8953, 476, 14631, 544, 269, 769, 519, 8216, 3254, 538, 519, 4137, 267, 519, 6174, 814, 513, 4464, 3432, 540, 476, 4029, 269, 278, 544, 4882, 543, 568, 23646, 693, 513, 2557, 540, 476, 276, 269, 3374, 544, 4882, 273, 269, 1548, 568, 519, 9588, 540, 519, 2121, 3196, 9117, 593, 519, 6174, 693, 713, 942, 543, 519, 3196, 32075, 338, 4287, 3448, 547, 519, 6991, 2496, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 454, 274, 269, 26461, 479, 454, 272, 269, 16453, 630, 528, 1298, 686, 7065, 531, 264, 10231, 568, 454, 320, 3799, 264, 815, 642, 11054, 24250, 815, 476, 4029, 269, 278, 11054, 270, 14631, 284, 277, 269, 6872, 544, 4882, 11054, 454, 307, 836, 1113, 10231, 454, 320, 263, 16483, 6661, 910, 276, 269, 3374, 544, 4882, 11054, 454, 10907, 5120, 566, 454, 320, 284, 6912, 346, 513, 3799, 264, 11054, 266, 630, 276, 269, 3374, 264, 11054, 348, 815, 279, 269, 5325, 544, 4882, 11054, 692, 11927, 395, 484, 284, 276, 269, 3374, 270, 277, 269, 6872, 284, 271, 269, 279, 1691, 454, 395, 484, 284, 4029, 269, 273, 23263, 454, 10382, 284, 3445, 266, 395, 484, 284, 3445, 2485, 374, 1341, 4029, 269, 273, 2485, 374, 815, 13199, 269, 273, 2485, 374, 692, 272, 269, 26461, 491, 454, 273, 269, 26461, 492, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 943, 1910, 923, 692, 288, 1286, 14797, 593, 513, 9764, 3950, 540, 8953, 678, 269, 630, 320, 264, 3503, 606, 3830, 585, 519, 1286, 781, 3328, 3432, 950, 621, 12599, 513, 2347, 22272, 538, 942, 512, 269, 630, 321, 264, 634, 8953, 540, 519, 3950, 568, 476, 1911, 544, 543, 519, 942, 547, 2347, 513, 22272, 568, 476, 1691, 521, 269, 8058, 602, 519, 692, 273, 269, 12693, 2301, 553, 692, 275, 6993, 1957, 7484, 267, 799, 568, 538, 519, 3337, 540, 513, 1318, 9764, 13409, 267, 568, 476, 1626, 4699, 2620, 543, 814, 513, 8953, 540, 476, 275, 4699, 269, 4826, 568, 23953, 883, 519, 7484, 693, 513, 3586, 2557, 540 ]

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

[ 269, 0, 258, 24321, 4569, 2433, 2405, 1014, 692, 1012, 7151, 5999, 692, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 763, 1199, 2103, 540, 519, 1739, 1079, 5036, 540, 2338, 616, 3160, 267, 543, 454, 1492, 5036, 616, 11231, 538, 26799, 1931, 454, 346, 272, 267, 476, 275, 267, 1535, 267, 476, 279, 348, 543, 2715, 273, 267, 476, 276, 267, 586, 267, 476, 280, 20467, 1548, 568, 586, 1107, 1109, 343, 2496, 274, 692, 273, 692, 1700, 272, 692, 1700, 273, 692, 271, 692, 1700, 272, 692, 15008, 1384, 15008, 281, 31962, 602, 519, 11667, 540, 606, 1256, 5991, 3518, 1229, 1305, 540, 2338, 568, 519, 12980, 1611, 540, 519, 6292, 540, 1647, 2474, 269, 4935, 630, 275, 1341, 1535, 8358, 273, 815, 11667, 540, 519, 1101, 1305, 543, 630, 276, 1341, 586, 8358, 273, 815, 11667, 540, 519, 2034, 1305, 269, 4595, 1312, 1199, 2103, 616, 3160, 267, 649, 666, 1305, 519, 4834, 3160, 547, 1142, 1278, 269, 630, 275, 1341, 1535, 8358, 273, 815, 630, 276, 1341, 586, 8358, 273, 269, 25092, 1312, 5011, 676, 476, 273, 543, 649, 1205, 476, 275, 1341, 1535, 815, 476, 276, 1341, 586, 269, 1284, 849, 917, 602, 476, 275, 2999, 1535, 2999, 476, 279, 543, 476, 276, 2999, 586, 2999, 476, 280, 267, 2094, 519, 5036, 616, 11231, 538, 26799, 1931, 269, 901, 562, 541, 4900, 938, 3681, 585, 1535, 543, 586, 1524, 3648, 269, 623, 1663, 21794, 538, 1585, 2418, 786, 5555, 1205, 596, 547, 1535, 815, 476, 278, 543, 586, 815, 476, 277, 267, 2094, 476, 278, 1341, 476, 275, 815, 476, 1556, 543, 476, 276, 1341, 476, 277, 815, 476, 1556, 267, 543, 3976, 519, 11667, 538, 1312, 2665, 1131, 581, 476, 276, 269, 276, 269, 4935, 267, 586, 1107, 1109, 343, 815, 1107, 272, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 1432, 568, 519, 11667, 538, 519, 1739, 1305, 540, 2338, 2496, 1626, 267, 476, 866, 267, 476, 1626, 267, 476, 278, 267, 476, 273, 267, 476, 736, 267, 476, 280, 267, 476, 276, 692, 15008, 1384, 1626, 267, 476, 866, 267, 476, 1626, 267, 476, 278, 267, 476, 273, 267, 476, 736, 267, 476, 280, 267, 476, 276, 692, 24576, 519, 2338, 689, 10545, 547, 4102, 780, 273, 267, 276, 267, 278, 267, 280, 267, 1626, 267, 1626, 267, 866, 267, 736, 692, 763, 11667, 568, 519, 1297, 538, 519, 1647, 780, 1103, 713, 2013, 267, 972, 568, 513, 476, 280, 543, 476, 1626, 538, 519, 1647, 780, 2691, 602, 4523, 267, 1491, 519, 3328, 540, 519, 1079, 2338, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 8340, 519, 11667, 1384, 15008, 1384, 2414, 1265, 519, 11667, 267, 6582, 519, 2338, 689, 10545, 547, 4102, 1384, 275, 267, 275, 267, 275, 267, 275, 267, 277, 267, 278, 267, 280, 267, 280, 267, 1321, 267, 1321, 267, 1321, 267, 1321, 267, 1321, 267, 1321, 267, 1240, 267, 10602, 267, 3445, 692, 2467, 616, 476, 1704, 2338, 538, 2698, 269, 1109, 4595, 476, 1704, 568, 606, 9642, 1297, 267, 519, 11667, 786, 581, 519, 1647, 1297, 540, 519, 1305, 269, 1109, 769, 713, 2013, 267, 621, 568, 519, 476, 280, 628, 1297, 267, 799, 568, 476, 1321, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 2467, 616, 476, 274, 267, 4335, 1004, 538, 1895, 589, 543, 476, 276, 267, 1822, 1004, 538, 1895, 645, 1384, 2961, 7392, 4939, 538, 6828, 589, 5808, 13574, 4939, 538, 6828, 645, 5808, 13574, 7763, 12643, 833, 476, 275, 476, 280, 20767, 534, 476, 3374, 476, 1839, 3687, 23186, 476, 2420, 476, 1428, 11709, 476, 280, 476, 1321, 21676, 701, 476, 274, 476, 277, 692, 1432, 568, 519, 11667, 540, 519, 1297, 540, 1004, 538, 1895, 645, 945, 1378, 2901, 513, 1295, 23186, 267, 8709, 267, 610, 4172, 701, 2496, 15008, 1384, 307, 805, 519, 21159, 607, 513, 1592, 267, 607, 649, 616, 1519, 1169, 15295, 689, 519, 476, 274, 6174, 2010, 5018, 269, 1403, 649, 798, 1142, 476, 271, 269, 6187, 263, 4335, 271, 1070, 476, 271, 269, 1321, 263, 4335, 271, 1070, 543, 476, 271, 269, 1428, 263, 4335, 271, 264, 649, 4063, 689, 8343, 602, 519, 11667, 267, 610, 1647, 1871, 267, 1131, 723, 547, 581, 519, 476, 1321, 260, 4737, 2094, 519, 3732, 2450, 1281, 711, 1689, 269, 634, 2243, 12134, 585, 661, 18952, 2207, 540, 519, 476, 274, 6688, 267, 865, 649, 666, 11716, 519, 824, 1079, 780, 271, 269, 1321, 263, 4335, 271, 264, 815, 476, 7785, 1109, 263, 7079, 264, 568, 519, 11667, 540, 519, 476, 274, 6688, 780, 2162, 7151, 7726, 1948, 272, 2433, 10803, 692, 1103, 519, 1305, 1657, 267, 799, 568, 3677, 281, 519, 11667, 267, 519, 1611, 267, 610, 519, 7154, 2496, 13614, 692, 300, 1712, 692, 8469, 1014, 692, 13828, 11667, 543, 1611, 692, 5472, 616, 3160, 692, 13614, 692, 15008, 1384, 24375, 676, 19280, 519, 1305, 689, 10545, 547, 4102, 1384, 2704, 2819, 267, 649, 1294, 602, 519, 7154, 568, 476, 279, 269, 4855, 519, 11667, 676, 2921, 519, 3328, 540, 519, 1079, 1647, 2338, 1384, 8340, 519, 1611, 676, 4946, 782, 2338, 543, 12270, 676, 519, 2698, 1297, 540, 2474, 1384, 8170, 519, 1614, 267, 519, 1611, 540, 519, 1305, 568, 519, 4102, 780, 2162, 7151, 7726, 1948, 273, 2433, 1215, 1677, 4855, 2405, 1014, 692, 763, 9344, 593, 513, 1449, 3144, 676, 476, 1109, 29324, 616, 476, 1109, 27920, 1947, 269, 1548, 729, 519, 11667, 6060, 585, 713, 1449, 2496, 15008, 1384, 2414, 4194, 713, 1966, 267, 649, 1590, 581, 3222, 540, 519, 4214, 540, 513, 11667, 585, 513, 1305, 540, 2338, 269, 634, 11667, 568, 3989, 607, 519, 1297, 602, 568, 538, 1647, 540, 513, 1305, 540, 2338, 15044, 689, 10545, 547, 4102, 269, 4475, 649, 1590, 1101, 4990, 519, 2338, 689, 4102, 547, 10545, 780, 4097, 267, 6246, 267, 3393, 267, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 11025, 267, 9262, 267, 6434, 267, 10844, 267, 4817, 267, 1911, 692, 6246, 267, 3393, 267, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 267, 6434, 267, 11025, 267, 4817, 692, 3393, 267, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 267, 6434, 267, 11025, 692, 2004, 267, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 267, 6434, 692, 6321, 267, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 267, 9262, 692, 4792, 267, 3583, 267, 10602, 267, 10602, 267, 10037, 692, 3583, 267, 10602, 267, 10602, 692, 10602, 692, 10190, 676, 7444, 14874, 519, 10545, 543, 519, 4102, 2338, 649, 1265, 602, 519, 11667, 6060, 585, 713, 1449, 568, 476, 10602, 780, 2162, 7151, 7726, 1948, 273, 2433, 10803, 692, 23797, 640, 589, 281, 634, 1611, 540, 692, 23797, 640, 645, 281, 634, 11667, 540, 692, 763, 2078, 3112, 581, 5462, 780, 23797, 640, 589, 568, 3152, 780, 23797, 640, 645, 568, 3152, 780, 763, 1079, 9424, 616, 3160, 780, 23797, 640, 645, 568, 3152, 780, 15008, 1384, 24375, 676, 556, 867, 1359, 519, 1305, 538, 10230, 1931, 1384, 10190, 3587, 692, 7712, 972, 568, 606, 9642, 1297, 540, 2418, 267, 519, 11667, 568, 519, 1647, 1871, 780, 23797, 640, 645, 1384, 3086, 267, 547, 1265, 519, 12980, 1611, 267, 1491, 519, 2040, 540, 2418, 5258, 676, 519, 2698, 1297, 540, 2418, 780, 23797, 640, 589, 1384, 2162, 7151, 7726, 1948, 272, 2433, 1215, 1677, 4855, 2405, 1014, 692, 763, 12980, 1611, 540, 1109, 28812, 692, 763, 11667, 540, 0, 288, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 2433, 10829, 7726, 25201, 1496, 299, 8016, 298, 3633, 2639, 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, 736, 281, 5655, 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, 589, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 692, 12041, 24606, 454, 12421, 454, 16274, 281, 476, 1015, 8734, 476, 1220, 275, 454, 15803, 281, 476, 4510, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 288, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1691, 281, 6187, 454, 1607, 1888, 568, 19526, 269, 1403, 596, 1616, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 780, 288, 267, 645, 543, 595, 1404, 25319, 269, 589, 781, 8255, 616, 547, 645, 781, 8255, 543, 645, 781, 8255, 616, 547, 595, 781, 607, 476, 274, 281, 273, 269, 1358, 1205, 15587, 476, 31079, 8255, 269, 1215, 1082, 8255, 1705, 589, 1118, 2496, 263, 272, 264, 476, 14341, 630, 273, 264, 476, 10482, 454, 263, 274, 264, 476, 7761, 630, 275, 264, 7183, 540, 891, 454, 10048, 4526, 454, 16274, 281, 476, 1789, 7325, 476, 1220, 275, 454, 15803, 281, 476, 6200, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1428, 281, 4375, 454, 275, 23099, 1862, 14085, 540, 891, 692, 3240, 2626, 568, 630, 22430, 265, 476, 280, 264, 1315, 866, 3267, 527, 2501, 4114, 547, 476, 14341, 13718, 7069, 13429, 568, 602, 589, 281, 289, 815, 476, 274, 281, 273, 543, 645, 281, 290, 815, 274, 281, 273, 454, 335, 11862, 700, 4953, 19294, 918, 301, 8582, 17692, 8668, 4959, 2910, 305, 3918, 6311, 27401, 2483, 12421, 454, 16274, 281, 476, 1015, 8734, 476, 1220, 275, 454, 15803, 281, 476, 4510, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1428, 281, 5392, 454, 296, 21645, 1174, 621, 855, 713, 568, 519, 2626, 692, 11405, 1384, 288, 281, 289, 815, 476, 274, 281, 273, 815, 476, 280, 281, 277, 16963, 289, 281, 290, 815, 476, 274, 281, 273, 815, 476, 277, 281, 275, 630, 14708, 645, 3160, 2020, 11997, 267, 589, 281, 289, 281, 290, 815, 476, 280, 281, 277, 281, 275, 692, 11997, 267, 519, 8255, 1500, 676, 589, 815, 630, 280, 270, 866, 264, 2473, 476, 31079, 815, 476, 14341, 563, 25938, 1640, 15440, 454, 16274, 281, 476, 866, 4924, 476, 1220, 275, 454, 15803, 281, 476, 29300, 454, 19613, 281, 25016, 328, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1789, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1704, 281, 3953, 454, 288, 281, 289, 281, 290, 815, 476, 280, 281, 277, 281, 275, 454, 280, 343, 266, 277, 343, 266, 275, 343, 815, 476, 866, 343, 692, 305, 12584, 1500, 676, 589, 815, 476, 280, 343, 270, 866, 343, 265, 31079, 815, 476, 14341, 20735, 589, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 866, 4924, 476, 1220, 275, 454, 15803, 281, 476, 29300, 454, 19613, 281, 25016, 328, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 1789, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4905, 5463, 476, 1220, 275, 267, 476, 1704, 281, 4097, 454, 326, 3901, 266, 10849, 612, 539, 5206, 912, 275, 23099, 1862, 14085, 540, 891, 692, 3240, 2626, 568, 630, 22430, 265, 476, 280, 264, 1315 ]

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

[ 786, 2263, 4798, 971, 607, 1362, 4655, 267, 30886, 267, 543, 4187, 1247, 28798, 741, 2565, 2542, 543, 10763, 1983, 269, 5015, 267, 649, 786, 1921, 891, 5339, 5931, 547, 2951, 1603, 267, 8716, 1053, 547, 2992, 2390, 741, 1378, 2833, 543, 11994, 540, 1114, 4529, 780, 296, 269, 6519, 11554, 4211, 20199, 14740, 538, 5753, 781, 26135, 11470, 454, 288, 269, 4985, 547, 3043, 2324, 11665, 1453, 538, 14810, 5708, 454, 272, 269, 11137, 540, 6041, 538, 2442, 1568, 899, 834, 295, 14019, 25260, 4840, 273, 269, 4197, 519, 4644, 540, 3309, 11269, 454, 289, 269, 5811, 540, 519, 1284, 553, 2917, 7731, 538, 834, 295, 14019, 25260, 4840, 272, 269, 24167, 14227, 4567, 543, 2686, 3854, 454, 273, 269, 17564, 540, 11475, 543, 4831, 5991, 1551, 2510, 454, 290, 269, 11314, 281, 21302, 824, 14810, 6386, 10023, 2324, 11665, 3197, 454, 272, 269, 17291, 10486, 543, 3604, 1063, 1585, 26007, 454, 273, 269, 14484, 532, 593, 2123, 4296, 547, 891, 2984, 692, 2862, 269, 4147, 18366, 543, 12540, 1400, 1436, 538, 20010, 2622, 338, 454, 288, 269, 4985, 547, 22189, 853, 893, 781, 834, 289, 691, 574, 30906, 257, 959, 559, 9609, 454, 272, 269, 12745, 783, 1944, 519, 2835, 1369, 9589, 17779, 543, 29711, 1014, 11964, 454, 273, 269, 4934, 23164, 1883, 4798, 267, 1519, 22030, 543, 15746, 454, 289, 269, 15766, 908, 519, 7941, 1063, 4012, 5974, 543, 1455, 619, 454, 272, 269, 7600, 1227, 10442, 6848, 3889, 543, 1949, 540, 1379, 454, 273, 269, 13876, 2358, 19320, 609, 3140, 543, 4207, 7239, 454, 290, 269, 11314, 281, 14424, 543, 4334, 519, 2126, 540, 12790, 2516, 2066, 1114, 5931, 454, 272, 269, 14301, 4296, 1063, 834, 295, 14019, 25260, 2437, 834, 289, 691, 574, 30906, 2437, 543, 3606, 4143, 6386, 454, 273, 269, 28518, 4589, 262, 5079, 3823, 1915, 1646, 267, 4729, 6050, 267, 543, 6571, 692, 7656, 269, 20710, 3101, 16520, 5811, 543, 13488, 5675, 454, 288, 269, 28038, 2951, 1603, 607, 513, 7828, 585, 3695, 2686, 9163, 454, 272, 269, 8466, 2796, 543, 4720, 540, 2951, 1603, 454, 273, 269, 3117, 573, 3130, 540, 5683, 6286, 543, 9021, 538, 8204, 1866, 454, 289, 269, 9608, 8086, 3635, 281, 7402, 12420, 609, 3017, 454, 272, 269, 4841, 2671, 5618, 6589, 540, 13341, 609, 2043, 689, 1114, 10080, 454, 273, 269, 6828, 4901, 543, 2079, 540, 3838, 2833, 454, 290, 269, 11300, 2534, 281, 22569, 1456, 14595, 5380, 454, 272, 269, 17130, 532, 1053, 547, 27682, 10207, 689, 6074, 9089, 689, 519, 5133, 540, 12790, 3197, 454, 273, 269, 24951, 3312, 543, 15428, 8747, 267, 7234, 1761, 1764, 593, 5467, 6568, 543, 1620, 692, 4353, 269, 10390, 543, 31349, 454, 288, 269, 5681, 3405, 1944, 1451, 902, 689, 4559, 594, 268, 7656, 454, 289, 269, 16792, 4030, 6591, 547, 6626, 5717, 1472, 4763, 267, 9698, 267, 543, 10014, 454, 290, 269, 25085, 532, 1053, 547, 4497, 9691, 609, 2923, 543, 12167, 585, 811, 13857, 11269, 454, 291, 269, 26943, 2381, 908, 1788, 11556, 281, 28799, 5339, 2079, 543, 2951, 1603, 2553, 547, 3132, 513, 4062, 5466, 2152, 540, 3961, 267, 2528, 267, 543, 1514, 5126, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 265, 8437, 593, 519, 21985, 547, 4228, 2278, 22808, 543, 7493, 338, 540, 4574, 454, 272, 1325, 2581, 22823, 630, 17206, 540, 5101, 5507, 994, 2704, 2581, 22823, 568, 513, 9972, 32082, 538, 2069, 693, 2160, 540, 5101, 5507, 269, 2701, 568, 1603, 1200, 12854, 5098, 13886, 968, 19669, 11554, 4147, 5753, 538, 5753, 779, 26135, 11470, 6100, 2701, 814, 4557, 1296, 685, 1995, 540, 3450, 593, 15938, 543, 2022, 12392, 4116, 2069, 15961, 269, 2701, 5892, 6026, 538, 7216, 13012, 267, 12729, 543, 7981, 20126, 5468, 538, 5507, 543, 31920, 269, 2701, 568, 2693, 547, 2491, 602, 519, 1284, 553, 2917, 1920, 723, 9645, 2686, 543, 3854, 538, 16452, 25260, 779, 1158, 609, 519, 13581, 652, 1008, 6327, 267, 2436, 693, 513, 10178, 15007, 610, 711, 563, 297, 517, 11936, 853, 9613, 779, 634, 717, 1961, 332, 779, 16685, 281, 7395, 673, 1362, 4655, 538, 606, 4244, 5507, 454, 1805, 9613, 779, 19258, 574, 30906, 959, 559, 9609, 568, 1305, 538, 606, 4244, 2413, 5507, 267, 519, 3854, 2749, 540, 519, 3703, 7276, 267, 1141, 4012, 5974, 616, 606, 23731, 8944, 267, 543, 1875, 2173, 698, 5974, 630, 8072, 21720, 619, 32426, 513, 16339, 2213, 896, 5035, 1510, 3540, 2924, 267, 13473, 1152, 679, 537, 326, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 5675, 1315, 589, 3578, 11208, 1315, 13488, 5675, 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, 1691, 281, 654, 895, 5516, 543, 27659, 1005, 910, 589, 4985, 547, 6481, 24601, 692, 5331, 596, 2811, 593, 513, 2564, 5692, 7552, 538, 513, 30152, 2197, 899, 25157, 610, 18475, 269, 1411, 4312, 8678, 513, 2319, 540, 824, 25981, 2043, 11235, 547, 948, 1004, 538, 991, 269, 2290, 1554, 267, 1247, 2324, 693, 513, 2199, 16758, 267, 2576, 2501, 538, 609, 513, 5634, 2759, 593, 741, 6186, 269, 898, 1522, 3100, 2241, 267, 855, 2921, 1416, 540, 16398, 5265, 568, 1898, 547, 2061, 3968, 543, 2327, 2635, 7067, 269, 2334, 781, 950, 707, 10138, 1416, 1983, 2097, 883, 1404, 2439, 1262, 8139, 654, 2432, 4373, 288, 10138, 568, 1022, 2736, 538, 519, 2960, 269, 1703, 616, 1079, 1292, 2010, 540, 16398, 281, 1930, 630, 15290, 519, 2960, 568, 14324, 6306, 264, 543, 6806, 630, 3697, 20015, 2478, 1040, 7046, 16398, 4268, 1759, 593, 875, 2620, 789, 979, 543, 1018, 3361, 873, 269, 2368, 1455, 3283, 616, 11912, 267, 16150, 525, 267, 14047, 675, 16398, 267, 543, 10551, 16398, 269, 18833, 875, 547, 2697, 1114, 5686, 540, 16398, 786, 948, 596, 1491, 1732, 1416, 540, 873, 780, 1262, 21995, 17778, 540, 654, 895, 5516, 4373, 21982, 1697, 1416, 540, 513, 10138, 3322, 1896, 3268, 1384, 272, 269, 2608, 27662, 15846, 28528, 11547, 1472, 519, 10138, 1210, 7646, 12853, 543, 2973, 1216, 269, 901, 2337, 4894, 13897, 543, 4551, 269, 2142, 6297, 711, 547, 1205, 12853, 3330, 519, 10138, 3294, 563, 273, 269, 2608, 28406, 15846, 15233, 606, 23287, 6512, 720, 610, 12238, 2763, 14950, 547, 3382, 519, 10138, 269, 18227, 621, 4988, 11151, 17900, 689, 10024, 543, 4929, 3968, 269, 5457, 547, 1689, 519, 19703, 3232, 610, 8164, 621, 4991, 18660, 610, 6632, 563, 274, 269, 2608, 12507, 3218, 15846, 6744, 519, 10138, 5781, 585, 4191, 540, 3968, 971, 607, 25017, 267, 11926, 267, 14246, 267, 10669, 267, 2799, 1928, 267, 610, 8611, 269, 1403, 596, 5469, 1022, 540, 891, 2589, 267, 3343, 3318, 2564, 3007, 5612, 780, 1262, 306, 583, 1005, 17943, 4373, 1103, 930, 2665, 267, 2523, 609, 4514, 16398, 267, 25573, 610, 521, 583, 999, 949, 581, 2556, 269, 2755, 713, 5650, 2356, 3340, 513, 8036, 2564, 3318, 267, 1620, 922, 9238, 1223, 8141, 7279, 827, 2009, 2104, 11678, 538, 4915, 2439, 265, 306, 583, 1005, 265, 1797, 22927, 1560, 8031, 1394, 1927, 1210, 2027, 8142, 1572, 521, 1956, 1570, 269, 6969, 4358, 267, 7189, 15381, 519, 1858, 4478, 519, 10138, 547, 7413, 9636, 1282, 519, 1184, 269, 3973, 267, 1210, 25062, 7405, 267, 789, 5402, 5447, 519, 8728, 540, 519, 10138, 1354, 8520, 532, 519, 521, 1956, 998, 1312, 5011, 543, 17444, 9395, 269, 4495, 2614, 25573, 616, 5116, 267, 789, 17063, 1055, 519, 7475, 18172, 269, 30850, 267, 519, 4387, 10039, 513, 8825, 8720, 936, 519, 4195, 25573, 780, 8855, 267, 938, 1383, 827, 1373, 593, 513, 2564, 5692, 7552, 286, 2913, 781, 2161, 596, 1336, 3054, 4543, 856, 896, 519, 15569, 540, 4810, 2564, 10986, 269, 2060, 9488, 2866, 543, 5583, 267, 1256, 1647, 1153, 1053, 666, 1451, 2596, 2553, 896, 6417, 2175, 28559, 2141, 4734, 1950, 5773, 547, 14468, 4966, 2439, 3383, 972, 596, 723, 621, 256, 1323, 4367, 547, 10138, 1416, 543, 521, 583, 1005, 602, 23248, 26182, 10761, 827, 3695, 2564, 3584, 2417, 269, 6787, 596, 5326, 540, 11836, 3486, 2564, 13485, 835, 1554, 610, 3274, 1616, 547, 917, 875, 547, 6023, 18002, 6251, 547, 1753, 267, 13215, 891, 4909, 1983, 23933, 513, 2178, 5748, 585, 707, 3460, 6619, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7021, 519, 1296, 267, 21816, 324, 1359, 10298, 814, 18799, 1585, 2564, 2875, 2516, 945, 4951, 1719, 538, 24749, 543, 5129, 606, 1271, 1909, 538, 5885, 519, 3782, 1062, 538, 3384, 2477, 269, 4107, 540, 891, 24749, 3255, 3335, 4125, 2324, 538, 1857, 19190, 543, 10506, 1141, 2200, 543, 812, 12741, 616, 17077, 563, 2171, 723, 1044, 12180, 3782, 543, 2564, 15321, 13383, 3292, 538, 1585, 2477, 267, 1519, 519, 13372, 267, 17289, 267, 25591, 267, 10476, 267, 25157, 267, 3162, 4000, 267, 19168, 267, 15057, 267, 18475, 267, 543, 22728, 28573, 269, 1452, 2564, 5692, 15143, 8597, 547, 513, 3309, 2039, 540, 5171, 267, 1519, 2564, 1053, 267, 3782, 9439, 267, 840, 2173, 539, 543, 840, 5991, 2720, 532, 1053, 267, 607, 1134, 607, 14971, 2564, 4648, 563, 1432, 616, 519, 5383, 540, 24749, 538, 513, 1895, 585, 513, 2564, 1982, 13383, 888, 2108, 2704, 821, 267, 649, 666, 798, 865, 2370, 282, 1927, 267, 649, 666, 798, 865, 1454, 892, 1107, 24796, 918, 11839, 563, 2171, 666, 1406, 3858, 811, 609, 891, 1913, 1107, 543, 649, 11207, 3494, 602, 13538, 945, 6443, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 895, 5516, 543, 27659, 1005, 257, 607, 851, 540, 834, 25503, 1315, 17073, 6925, 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, 7234, 11174, 5708, 10704, 1472, 7489, 1977, 543, 7414, 29474, 2833, 267, 621, 568, 1898, 547, 2263, 519, 28622, 540, 5198, 267, 14940, 267, 11776, 267, 543, 741, 1764, 593, 891, 2950, 262, 1072, 4093, 269, 901, 3184, 12538, 883, 875, 6848, 21437, 899, 834, 15869, 257, 543, 834, 30710, 640, 2437, 2059, 609, 19366, 2833, 267, 3337, 3332, 6322, 693, 1762, 3988, 269, 5047, 267, 713, 4901, 786, 8774, 1769, 593, 519, 2956, 540, 14344, 11528, 2152, 971, 607, 7293, 10168, 950, 6313, 1072, 13103, 1851, 1114, 7292, 543, 6803, 2516, 780, 2414, 2253, 609, 267, 1577, 721, 4983, 519, 1523, 540, 834, 15869, 257, 543, 834, 30710, 640, 1701, 5637, 2474, 4196, 607, 1514, 25481, 2864, 982, 6211, 5013, 282, 789, 30387, 1004, 1759, 593, 9228, 2168, 3604, 267, 2686, 10080, 267, 3838, 1686, 267, 10923, 8129, 267, 610, 1256, 3084, 1541, 5874, 630, 19365, 338, 1696, 620, 1421, 476, 1001, 277, 1040, 1452, 10297, 666, 581, 5714, 267, 29653, 267, 543, 22522, 2066, 942, 267, 2230, 267, 543, 4529, 269, 2755, 2043, 1522, 2697, 2933, 1369, 1808, 7292, 543, 6803, 6688, 267, 972, 3788, 811, 6988, 3564, 6071, 8760, 269, 1306, 7074, 538, 938, 6679, 1349, 267, 3173, 1590, 2015, 1585, 1514, 21876, 540, 1072, 630, 16256, 15121, 1070, 799, 12969, 609, 5198, 543, 14940, 267, 6038, 7133, 1367, 8171, 269, 11790, 899, 2069, 1377, 267, 4747, 267, 7694, 4567, 267, 8027, 2175, 267, 1426, 3354, 267, 8378, 2298, 267, 543, 1569, 547, 3782, 782, 1404, 1713, 5107, 538, 5935, 2551, 1072, 630, 28495, 619, 585, 8376, 6513, 543, 10644, 1496, 24922, 3910, 562, 6155, 12175, 4935, 267, 3695, 12676, 15121, 2636, 5640, 543, 9439, 7567, 547, 1847, 2250, 5187, 2065 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8698, 519, 1900, 8386, 9912, 3070, 547, 1384, 19370, 630, 2190, 268, 279, 1070, 8525, 476, 280, 6858, 281, 5729, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 1015, 476, 1556, 6399, 284, 815, 8466, 26162, 540, 17776, 12924, 10345, 476, 275, 269, 271, 260, 476, 1691, 269, 274, 476, 866, 269, 271, 630, 1691, 269, 278, 264, 630, 2918, 269, 276, 264, 476, 4391, 269, 273, 476, 2537, 269, 279, 630, 278, 269, 273, 264, 476, 277, 269, 277, 476, 736, 269, 276, 692, 19370, 630, 2190, 268, 273, 2567, 1323, 25566, 814, 24018, 519, 6006, 540, 17786, 335, 22427, 9535, 1210, 513, 1079, 29969, 6673, 307, 2203, 269, 634, 1981, 6954, 2557, 568, 476, 277, 9077, 519, 4397, 2132, 593, 519, 1101, 3815, 630, 337, 272, 264, 568, 476, 1321, 9077, 543, 519, 4397, 2132, 593, 519, 2034, 3815, 630, 337, 273, 264, 568, 476, 279, 10065, 1403, 1979, 272, 815, 476, 271, 269, 278, 543, 1979, 273, 815, 476, 271, 269, 280, 267, 1018, 568, 17786, 335, 781, 2838, 2132, 286, 8058, 960, 780, 19370, 630, 2190, 268, 279, 2567, 7490, 3277, 547, 7923, 6478, 3561, 563, 19370, 630, 2190, 268, 279, 1070, 8525, 476, 280, 6858, 281, 8466, 26162, 540, 17776, 5729, 12924, 10345, 14351, 962, 476, 272, 476, 275, 269, 271, 260, 476, 274, 269, 271, 260, 476, 273, 476, 1691, 269, 274, 476, 1240, 269, 273, 476, 274, 476, 866, 269, 271, 476, 280, 269, 272, 476, 275, 630, 1691, 269, 278, 264, 630, 277, 269, 271, 264, 476, 276, 630, 2918, 269, 276, 264, 630, 1428, 269, 274, 264, 476, 277, 476, 4391, 269, 273, 476, 3451, 269, 272, 476, 278, 476, 2537, 269, 279, 476, 277, 269, 272, 476, 279, 630, 278, 269, 273, 264, 476, 274, 269, 273, 476, 280, 476, 277, 269, 277, 476, 1691, 269, 279, 476, 1015, 476, 736, 269, 276, 476, 2190, 269, 272, 476, 1556, 476, 1789, 269, 277, 476, 1240, 269, 271, 6399, 284, 476, 280, 269, 279, 260, 476, 280, 269, 279, 260, 21566, 284, 476, 866, 269, 277, 260, 476, 1724, 269, 279, 260, 513, 269, 20472, 513, 14649, 6516, 6029, 519, 2078, 1063, 7024, 593, 14351, 962, 543, 519, 2344, 267, 543, 1287, 2721, 513, 1863, 8518, 19406, 540, 519, 9695, 1899, 269, 1548, 568, 519, 16977, 1871, 540, 519, 12498, 11664, 286, 1403, 596, 723, 513, 9498, 609, 513, 5276, 9695, 1599, 610, 513, 22369, 267, 2638, 519, 16977, 1871, 540, 12498, 5833, 689, 519, 3113, 269, 536, 269, 12315, 513, 11913, 7664, 540, 1018, 519, 9695, 1899, 543, 519, 12498, 11664, 1397, 827, 14351, 962, 779, 25359, 543, 3448, 1981, 1465, 607, 3379, 609, 1346, 540, 824, 13632, 269, 524, 269, 14597, 519, 14649, 540, 2798, 1185, 1044, 811, 3262, 856, 267, 855, 519, 9695, 1899, 729, 4010, 1141, 707, 1459, 3113, 2982, 621, 269, 1215, 1131, 713, 1198, 630, 272, 264, 519, 6109, 779, 1981, 952, 519, 6006, 568, 4371, 538, 513, 835, 12431, 564, 14769, 543, 630, 273, 264, 519, 4890, 1981, 14167, 593, 519, 6006, 952, 519, 26480, 300, 6585, 4010, 286, 546, 269, 14597, 519, 9695, 1899, 1185, 1044, 18746, 1793, 14563, 543, 519, 12498, 11664, 1185, 1044, 2942, 269, 1548, 1131, 713, 17538, 827, 630, 272, 264, 14351, 962, 779, 3448, 1981, 1465, 267, 630, 273, 264, 922, 9756, 609, 519, 2344, 267, 543, 630, 274, 264, 922, 21483, 1981, 14167, 2496, 320, 264, 2480, 2660, 6516, 543, 9695, 1899, 12924, 10345, 630, 260, 994, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 1015, 454, 1556, 6399, 23751, 17385, 284, 476, 275, 269, 271, 454, 1691, 269, 274, 454, 866, 454, 268, 1691, 269, 278, 454, 268, 2918, 269, 276, 454, 4391, 269, 273, 454, 2537, 269, 279, 454, 268, 278, 269, 273, 454, 277, 269, 277, 454, 736, 269, 276, 454, 1789, 269, 277, 454, 280, 269, 3199, 14999, 866, 269, 2568, 260, 14351, 962, 630, 260, 994, 274, 269, 271, 454, 1240, 269, 273, 454, 280, 269, 272, 454, 268, 277, 454, 268, 1428, 269, 274, 454, 3451, 269, 272, 454, 277, 269, 272, 454, 274, 269, 273, 13718, 3963, 15012, 6092, 15552, 2496, 17345, 15552, 814, 782, 519, 6780, 543, 1353, 948, 596, 991, 547, 8011, 256, 1284, 4076, 3893, 1576, 10391, 4967, 267, 1353, 10274, 267, 543, 2259, 4255, 2059, 609, 4274, 21493, 780, 7042, 14807, 1049, 8249, 454, 1892, 910, 692, 19138, 26671, 692, 8340, 519, 1655, 1353, 2200, 1472, 267, 28562, 547, 707, 1808, 6030, 269, 9523, 707, 1378, 547, 2744, 1863, 6092, 15552, 1569, 780, 289, 12864, 26671, 0, 1321, 267, 279, 736, 267, 276, 2641, 2818, 630, 3066, 267, 7176, 275, 2228, 994, 531, 1181, 894, 4528, 692, 2971, 853, 1846, 692, 1724, 269, 278, 298, 5784, 454, 1556, 1433, 5658, 539, 454, 16829, 476, 1556, 3057, 476, 1001, 273, 692, 258, 3244, 334, 23037, 281, 589, 590, 15659, 23990, 585, 15689, 609, 8899, 7352, 766, 692, 267, 476, 1321, 3057, 476, 1001, 273, 8713, 5357, 454, 15580, 713, 912, 8245, 334, 23037, 513, 1715, 590, 15659, 5690, 595, 10030, 23030, 10025, 10606, 23037, 15689, 609, 8899, 7352, 766, 692, 1012, 4985, 692, 296, 729, 1603, 606, 2376, 593, 8159, 519, 16595, 5690, 585, 18570, 543, 1247, 594, 729, 1603, 594, 3893, 6766, 676, 519, 1082, 18570, 6620, 543, 594, 25282, 606, 5690, 585, 18570, 269, 898, 781, 1572, 3244, 334, 1317, 602, 781, 519, 2012, 540, 2576, 945, 568, 1360, 2027, 547, 1250, 2295, 2433, 2020, 1012, 1215, 621, 1568, 692, 2005, 568, 513, 25276, 18570, 5690, 602, 28197, 519, 1739, 3268, 1384, 272, 269, 5192, 519, 3328, 1871, 540, 2338, 538, 519, 5044, 454, 273, 269, 19147, 519, 5044, 883, 1079, 14249, 630, 6783, 476, 272, 543, 5044, 476, 273, 264, 543, 519, 3328, 1871, 786, 581, 6074, 607, 519, 22141, 563, 274, 269, 7102, 1871, 4130, 982, 519, 22141, 786, 581, 538, 1101, 5044, 543, 1022, 1871, 3677, 982, 519, 22141, 786, 581, 538, 519, 2034, 5044, 563, 275, 269, 19244, 519, 1482, 5690, 593, 5044, 476, 272, 543, 5044, 476, 273, 11489, 596, 3914, 519, 10678, 2783, 692, 2690, 11938, 5301, 1384, 272, 269, 634, 10678, 2783, 568, 711, 513, 3339, 10678, 585, 513, 25276, 1599, 855, 621, 3096, 930, 2175, 602, 594, 25282, 998, 2119, 543, 5470, 267, 891, 2175, 6318, 519, 2773, 620, 582, 563, 273, 269, 1403, 519, 5044, 2450, 568, 1447, 982, 476, 1428, 606, 23453, 542, 23037, 568, 1031, 547, 6175, 16841, 267, 476, 1428, 814, 1044, 1336, 10686, 1227, 607, 519, 6099, 2759, 4752, 1871, 538, 476, 1960, 277, 780, 1012, 634, 5690, 692, 1607, 568, 875, 519, 5690, 1568, 1384, 869, 568, 519, 4994, 540, 519, 1101, 3693, 543, 1164, 568, 519, 4994, 540, 2063, 3693, 780, 3499, 339, 6374, 622, 2999, 5035, 570, 11417, 341, 1355, 1138, 24382, 677, 24867, 513, 314, 3910, 842, 1970, 267, 842, 1164, 994, 19127, 2260, 18893, 574, 1436, 16448, 454, 604, 263, 14683, 268, 869, 285, 1428, 994, 19127, 29602, 3328, 284, 271, 3248, 842, 562, 815, 630, 14683, 910, 1970, 1341, 476, 272, 32007, 1721, 630, 842, 1775, 815, 1970, 282, 1775, 10922, 1164, 282, 1775, 10030, 994, 320, 2071, 23785, 320, 5157, 316, 16963, 320, 2071, 270, 284, 333, 3248, 842, 737, 284, 869, 16963, 1721, 17301, 1775, 815, 1970, 282, 328, 27045, 14683, 282, 1775, 10030, 994, 604, 5416, 5157, 316, 283, 320, 2071, 994, 19127, 842, 10917, 19368, 815, 513, 5157, 30092, 320, 5157, 316, 815, 513, 25208, 30092, 320, 25208, 316, 815, 10917, 19368, 16963, 330, 10030, 3248, 10926, 2260, 18893, 574, 1242, 17547, 16448, 454, 604, 263, 869, 283, 330, 268, 272, 30974, 737, 268, 272, 256, 284, 14683, 994, 13678, 24382, 677, 5416, 267, 869, 267, 330, 268, 272, 32007, 604, 263, 14683, 285, 330, 30974, 1970, 256, 284, 330, 994, 13678, 24382, 677, 5416, 267, 330, 267, 14683, 11850, 8679, 12828, 454, 19127, 2260, 11900, 1068, 542, 23037, 547, 2569, 3683, 3650, 950, 16571, 542, 568, 711, 2620, 2614, 454, 1721, 630, 842, 1775, 815, 1970, 1341, 476, 272, 282, 1775, 10922, 1164, 282, 1775, 10030, 264, 13634, 842, 1871, 815, 513, 5157, 30092, 842, 795, 3248, 1721, 630, 329, 815, 1775, 910, 476, 272, 282, 795, 13843, 1970, 30974, 513, 14728, 316, 3436, 1871, 282, 795, 734, 264, 13634, 320, 14728, 1341, 476, 272, 316, 815, 513, 14728, 30092, 8679, 320, 14728, 1341, 476, 272, 316, 815, 1871, 3248, 8679, 8679, 348, 7884, 1012, 7151, 692, 257, 7078, 476, 272, 257, 2982, 875, 519, 5690, 1568, 538, 513, 3339, 2013, 780, 257, 7078, 476, 273, 257, 2982, 875, 519, 5690, 1568, 538, 922, 1655, 2013, 9183, 1141, 2609, 540, 519, 5044, 723, 2370, 13065, 1063, 873, 269, 769, 519, 2013, 1141, 972, 1141, 1152, 476, 273, 2338, 834, 272, 257, 543, 834, 271, 257, 519, 5690, 1185, 513, 6988, 540, 744, 3799, 2020, 9616, 281, 1879, 519, 5690, 13515, 538, 519, 3254, 5515, 621, 1797, 513, 6978, 814, 6603, 606, 10678, 2783, 780, 1012, 29203, 692, 763, 9612, 568, 853, 762, 543, 814, 606, 5580, 3808, 2230, 29203, 540, 744, 263, 272, 2020, 5475, 3257, 519, 942, 6988, 2079, 9273, 780, 1892, 634, 19105, 543, 1937, 560, 2013, 7653, 616, 540, 630, 276, 270, 277, 12684, 333, 331, 1758, 6988, 799, 7851, 547, 744, 3799, 331, 1758, 994, 1892, 634, 7454, 8865, 568, 744, 3799, 264, 607, 3254, 538, 7151, 476, 273, 780, 2252, 1022, 835, 666, 6961, 891, 2418, 4636, 5225, 2995, 803, 543, 594, 786, 12189, 873, 267, 7064, 780, 763, 5690, 568, 4867, 5488, 982, 2656, 4990, 543, 19943, 4990, 950, 519, 13065, 540, 519, 2609, 568, 1970, 263, 2254, 811, 982, 476, 276, 1114, 2609, 264, 2687, 547, 519, 594, 25162, 602, 594, 1500, 267, 543, 594, 6415, 4867, 1603, 606, 2376, 602, 786, 5635, 782, 18570, 6620, 1519, 713, 835, 780, 1012, 7799, 14591, 692, 763, 1699, 4528, 540, 519, 5690, 1152, 1568, 593, 9981, 269, 621, 1281, 711, 960, 593, 1347, 338, 610, 5595, 2418, 780, 1012, 3778, 692, 2971, 476, 272, 269, 271, 630, 1015, 4728, 476, 1001, 273, 2020, 1892, 19461, 5305, 780, 296, 4126, 602, 713, 2376, 1131, 693, 2547, 5594, 948, 1346, 945, 616, 5461, 538, 713, 3390, 269, 18461, 1863, 547, 2995, 803, 1022, 8292, 593, 519, 5690, 2433, 2020, 1012, 9523, 692, 12229, 3763, 518, 630, 25938, 1640, 264, 5131, 700, 22083, 5527, 454, 7034, 322, 8950, 7177, 267, 595, 23879, 2160, 267, 5527, 780, 296, 2648, 3450, 543, 1565, 543, 594, 6415, 7683, 4657, 454, 8722, 601, 1863, 547, 1865, 4376, 609, 803, 780, 288, 6154, 601, 766, 772, 311, 14704, 267, 8943, 568, 1250, 1907, 11453, 267, 594, 1374, 585, 1995, 476, 2439, 7069, 19534, 692, 1012, 1411, 949, 849, 581, 5461, 538, 13718, 3689, 2776, 341, 9202, 454, 594, 614, 2209, 3079, 540, 570, 26514, 654, 518, 1676, 6428, 14137, 1704, 5336, 541, 268, 1321, 476, 277, 281, 3953, 654, 518, 1676, 6428, 14137, 476, 1704, 5336, 541, 268, 1321, 476, 277, 281, 3953, 454, 8177, 540, 12719, 519, 1611, 4410, 324, 287, 338, 663, 341, 1731, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 2412, 4410, 324, 287, 338, 663, 341, 1731, 476, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 2412, 454, 1234, 281, 8177, 540, 12719, 519, 1611, 10067, 332, 3716, 31928, 5069, 4432, 5336, 698, 323, 12874, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 7871, 10067, 332, 3716, 31928, 5069, 4432, 5336, 698, 323, 12874, 476, 1556, 5336, 541, 268, 1321, 476, 2537, 281, 7871, 454, 28982, 1403, 596, 1616, 267, 594, 666, 2328, 519, 2079, 538, 8799, 1259, 543, 6494, 621, 547, 596, 267, 1317, 1631, 621, 781, 30255, 543, 593, 1957, 269, 8133, 267, 29626, 519, 3328, 568, 606, 16841, 855, 621, 781, 513, 1507, 16841, 1317, 538, 1034, 2665, 519, 6988, 540, 12719, 519, 3328, 568, 744, 3799, 264, 16611, 676, 513, 3815, 1447, 982, 476, 272, 269, 3719, 849, 538, 2656, 4990, 972, 568, 1776, 1599, 602, 568, 1031, 547, 1205, 519, 22141, 4994, 799, 568, 606, 16841, 849, 269, 12552, 267, 2995, 803, 952, 596, 1616, 519, 2079, 594, 600, 23875, 454, 16338, 547, 2372, 6506, 677, 286, 562, 341, 25313 ]

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

[ 7828, 269, 634, 1152, 1259, 547, 7753, 713, 20159, 693, 1164, 3172, 4328, 7060, 729, 547, 1711, 6859, 609, 1360, 1279, 17122, 13080, 269, 16902, 990, 28839, 18706, 7236, 4362, 21275, 781, 11359, 9682, 630, 305, 9996, 264, 538, 476, 15757, 273, 609, 513, 16263, 476, 3374, 3952, 630, 1556, 544, 264, 1279, 269, 13562, 12002, 971, 607, 29312, 1261, 767, 3780, 941, 14335, 24985, 609, 17122, 13080, 607, 1279, 607, 476, 5611, 3952, 630, 5379, 544, 1040, 14755, 2348, 2731, 1279, 13740, 891, 24985, 2877, 21934, 13783, 610, 1279, 544, 6814, 543, 1835, 6951, 547, 3180, 873, 909, 269, 4256, 1871, 607, 1382, 2645, 729, 8766, 2094, 519, 16263, 781, 7406, 834, 32353, 257, 4827, 539, 543, 5854, 730, 538, 519, 13581, 652, 30089, 543, 3006, 25540, 15587, 563, 1103, 476, 14321, 277, 3057, 514, 631, 619, 26413, 6069, 513, 16263, 9967, 540, 513, 1612, 21966, 18042, 3119, 11604, 543, 513, 1612, 21966, 18042, 6281, 11604, 536, 23395, 519, 3239, 998, 513, 8559, 538, 519, 3119, 267, 6061, 519, 1966, 540, 13156, 519, 3239, 269, 6276, 27068, 4682, 883, 2417, 1469, 538, 1010, 1433, 8838, 3821, 8871, 7974, 630, 14917, 274, 1070, 15738, 856, 602, 513, 10452, 16263, 609, 513, 11604, 602, 729, 8032, 899, 519, 851, 540, 513, 598, 545, 3296, 267, 1131, 2953, 20085, 32623, 1674, 607, 1134, 607, 519, 6985, 1738, 32623, 1674, 2938, 538, 18195, 832, 269, 634, 1374, 646, 3357, 909, 609, 12217, 1010, 2012, 281, 519, 834, 294, 2958, 20187, 16263, 21968, 855, 2687, 547, 1010, 1378, 1476, 11970, 267, 27068, 1185, 1100, 4052, 5578, 543, 646, 1223, 1265, 1100, 1904, 6509, 5827, 540, 16734, 1010, 2093, 543, 1310, 930, 4829, 1652, 8942, 267, 729, 8078, 539, 547, 10205, 782, 4126, 540, 8744, 1010, 16263, 883, 4052, 946, 563, 3849, 28922, 25852, 3096, 513, 2147, 6240, 267, 855, 7311, 28303, 1896, 4627, 2053, 829, 2034, 547, 4818, 839, 622, 519, 2360, 540, 6385, 4657, 9804, 23673, 1813, 547, 519, 5163, 540, 31285, 538, 519, 3047, 781, 5790, 269, 11154, 633, 25852, 1568, 676, 7893, 519, 1253, 25344, 538, 513, 5951, 12506, 543, 1287, 9104, 908, 585, 873, 676, 4028, 2242, 540, 27103, 2209, 4294, 547, 513, 1507, 22775, 762, 11604, 610, 609, 513, 5277, 12627, 5044, 6882, 269, 589, 302, 729, 1101, 19424, 539, 676, 9710, 864, 654, 269, 9040, 32024, 538, 476, 4198, 274, 267, 855, 1705, 711, 2097, 883, 1455, 6165, 538, 24666, 24985, 2394, 8441, 538, 2780, 543, 18785, 2029, 1282, 519, 476, 1960, 271, 338, 1500, 621, 2009, 547, 5173, 519, 13180, 2877, 538, 1483, 942, 269, 769, 13261, 25852, 267, 519, 1164, 18286, 28303, 2877, 1611, 602, 513, 9425, 6505, 5182, 568, 2877, 1360, 2673, 547, 519, 3077, 540, 1719, 630, 528, 606, 5841, 5182, 568, 2813, 676, 513, 8955, 1040, 4746, 267, 609, 513, 2582, 5182, 610, 8955, 519, 28303, 616, 1152, 2500, 936, 513, 1360, 7522, 2361, 630, 29181, 540, 9095, 5913, 1070, 543, 1699, 1949, 5665, 593, 1896, 476, 279, 268, 1015, 332, 24985, 960, 5631, 538, 2282, 19899, 14518, 20966, 585, 2582, 268, 15953, 7422, 563, 763, 14206, 2540, 4718, 519, 4070, 540, 24985, 799, 1223, 3132, 2592, 1210, 20966, 824, 982, 7298, 1769, 4358, 538, 476, 4350, 272, 950, 20913, 808, 753, 5652, 4362, 24666, 3615, 5795, 1055, 5925, 5434, 282, 713, 19430, 513, 1007, 5736, 540, 22423, 17651, 1310, 2622, 2782, 4083, 267, 609, 24985, 1373, 2919, 585, 824, 2694, 540, 519, 13590, 8552, 689, 5925, 547, 18325, 17530, 563, 20238, 1470, 17651, 3459, 538, 476, 4350, 272, 950, 20913, 808, 753, 5652, 4362, 602, 519, 27305, 10158, 729, 513, 2707, 540, 5925, 12998, 1247, 3257, 1382, 593, 18714, 11979, 609, 513, 4287, 19215, 269, 8490, 593, 808, 753, 5652, 781, 960, 267, 717, 4710, 1234, 828, 3710, 513, 811, 10427, 3483, 32472, 5925, 16263, 538, 476, 4350, 278, 267, 609, 513, 476, 4029, 269, 275, 20356, 630, 280, 269, 277, 544, 264, 8670, 282, 1210, 713, 267, 646, 4362, 1585, 32584, 5925, 2959, 538, 519, 6607, 269, 9314, 538, 5925, 17651, 8057, 1310, 519, 5822, 2622, 2782, 950, 1454, 3677, 8286, 941, 3710, 1519, 281, 519, 476, 7742, 20356, 630, 10602, 544, 264, 808, 617, 22641, 4871, 16263, 630, 4198, 278, 1070, 519, 476, 4968, 20356, 630, 11011, 544, 264, 5682, 7813, 23571, 630, 3422, 273, 1070, 543, 519, 476, 1911, 31475, 516, 630, 20065, 10264, 264, 20306, 1564, 6199, 16263, 630, 3192, 272, 1040, 634, 5458, 476, 272, 267, 1822, 20356, 630, 4968, 544, 264, 3657, 322, 756, 334, 16263, 630, 3422, 274, 264, 729, 865, 1804, 602, 621, 729, 6378, 883, 513, 2067, 4965, 538, 519, 2666, 282, 519, 3844, 19215, 1223, 581, 2848, 1229, 547, 1450, 519, 16263, 547, 1353, 3615, 909, 547, 8938, 5232, 689, 519, 1990, 523, 603, 269, 1717, 267, 711, 1169, 5925, 16263, 568, 540, 519, 8670, 1826, 269, 1280, 1383, 267, 519, 24759, 9061, 23571, 630, 4198, 275, 264, 729, 606, 2038, 1383, 540, 606, 5044, 799, 1031, 1079, 13902, 3515, 540, 13494, 333, 2801, 476, 272, 267, 4335, 3952, 630, 29121, 544, 264, 538, 3259, 547, 5619, 519, 6607, 563, 294, 10397, 12345, 616, 12842, 1164, 538, 519, 3047, 781, 5790, 865, 1034, 18325, 11920, 17651, 568, 5342, 609, 15408, 269, 717, 10397, 11920, 24985, 946, 1085, 842, 20746, 27669, 267, 8141, 20830, 543, 811, 5063, 267, 4396, 15581, 22572, 269, 634, 16070, 6571, 540, 891, 3457, 568, 3335, 1360, 4057, 269, 1703, 941, 17891, 25645, 6901, 538, 519, 2038, 476, 3422, 271, 338, 267, 855, 18325, 11920, 17651, 2731, 3459, 609, 519, 10131, 540, 519, 744, 12569, 476, 274, 9682, 538, 476, 3422, 278, 282, 519, 1101, 6131, 18325, 11920, 15408, 941, 590, 3008, 645, 630, 3192, 273, 264, 543, 15328, 645, 630, 3192, 276, 1040, 634, 1290, 17980, 717, 10397, 14105, 25076, 630, 1960, 272, 264, 729, 513, 2462, 6454, 593, 3105, 12220, 269, 15020, 1164, 20589, 18325, 17530, 630, 629, 913, 476, 1220, 2983, 309, 264, 666, 581, 9571, 689, 519, 2666, 3842, 519, 595, 7967, 28325, 5982, 3812, 676, 519, 8574, 540, 519, 18325, 17530, 538, 519, 3047, 781, 5790, 269, 11153, 595, 7967, 28325, 9196, 24985, 723, 1044, 3710, 1472, 519, 1158, 1519, 281, 519, 670, 9680, 6938, 630, 2735, 278, 1070, 5254, 3722, 7417, 630, 1220, 272, 1070, 670, 8577, 630, 1220, 274, 1070, 543, 631, 8980, 2975, 630, 1220, 275, 1916, 7628, 519, 7422, 649, 1500, 538, 938, 22966, 652, 1258, 23512, 790, 476, 1911, 288, 313, 2689, 267, 649, 8068, 513, 1507, 2179, 540, 7301, 2681, 630, 20580, 921, 2681, 535, 2590, 532, 1070, 543, 513, 13581, 20747, 2590, 538, 519, 2361, 540, 2070, 729, 18476, 269, 634, 8545, 568, 3362, 17251, 609, 513, 6297, 5542, 540, 2363, 788, 773, 806, 267, 865, 649, 4363, 10115, 538, 3606, 2363, 788, 773, 806, 547, 1118, 519, 1034, 540, 519, 23512, 790, 476, 1911, 288, 313, 781, 9804, 1062, 543, 547, 2327, 602, 621, 18922, 883, 519, 2298, 540, 707, 6337, 267, 952, 596, 2811, 2921, 873, 8771, 2681, 267, 593, 519, 824, 1688, 267, 568, 547, 581, 4397, 538, 24985, 693, 713, 3902, 1448, 855, 621, 3085, 1405, 25010, 519, 1995, 8259, 596, 2811, 24215, 1880, 827, 2681, 6111, 563, 763, 1101, 540, 1614, 540, 519, 715, 1410, 30252, 24985, 593, 713, 1592, 267, 543, 585, 513, 1434, 2601, 269, 634, 22966, 652, 1258, 715, 1410, 30252, 476, 279, 10345, 568, 606, 5140, 4781, 585, 14987, 543, 19023, 6607, 342, 520, 7129, 269, 901, 16263, 2306, 621, 2653, 585, 18051, 1182, 547, 2070, 519, 3781, 6607, 1510, 6616, 1454, 827, 17651, 269, 2311, 519, 1482, 942, 267, 811, 4810, 588, 1173, 1794, 619, 666, 946, 621, 547, 2263, 4514, 883, 2230, 610, 1256, 8936, 513, 8254, 585, 11141, 28936, 582, 2762, 563, 763, 26751, 704, 320, 568, 606, 11141, 3926, 602, 10905, 1614, 4066, 281, 5182, 4806, 6284, 3301, 267, 3239, 2661, 10518, 532, 2029, 267, 543, 606, 813, 269, 1879, 23564, 593, 267, 922, 590, 3415, 22558, 311, 5379, 273, 3239, 9300, 666, 3713, 513, 3077, 538, 2947, 3764, 543, 1491, 835, 8523, 1169, 476, 1015, 7643, 630, 10472, 9775, 4470, 593, 519, 3077, 1040, 901, 6846, 2275, 766, 1782, 1184, 666, 581, 2938, 538, 1483, 6066, 593, 519, 7327, 983, 640, 813, 267, 4611, 538, 513, 20501, 267, 811, 4334, 344, 543, 10477, 3239, 269, 1284, 538, 938, 28446, 517, 529, 26751, 704, 320, 2689, 649, 1336, 602, 519, 2592, 941, 513, 2370, 2571, 267, 855, 789, 1223, 581, 8476, 609, 2022, 3491, 22422, 563, 763, 552, 309, 2675, 2100, 476, 273, 267, 513, 16263, 2966, 609, 1390, 22717, 572, 267, 568, 4998, 585, 21706, 945, 616, 1007, 547, 17651, 543, 723, 513, 9645, 2179, 540, 2724, 630, 12671, 1269, 4335, 271, 630, 641, 839, 538, 1007, 9184, 4297, 547, 22302, 610, 585, 19936, 945, 7287, 606, 782, 2987, 14633, 1062, 602, 568, 4674, 1652, 547, 1305, 909, 543, 946, 269, 4634, 1498, 621, 949, 711, 581, 7494, 15874, 676, 4810, 16263, 3755, 26224, 547, 513, 811, 2757, 13156, 1505, 267, 621, 666, 1869, 1711, 7415, 2592, 563, 2005, 781, 849, 1134, 3710, 543, 2653, 547, 946, 267, 513, 5458, 7132, 585, 1346, 1510, 11435, 540, 17651, 1995, 269, 1717, 267, 596, 666, 1205, 8925, 585, 513, 2539, 3902, 267, 1256, 952, 789, 1810, 1405, 3833, 6474, 519, 21708, 1467, 476, 277, 257, 585, 2298, 540, 1179, 338, 269, 1284, 849, 899, 519, 2107, 542, 8330, 549, 8698, 476, 3445, 630, 641, 839, 538, 1007, 9184, 264, 513, 2603, 267, 585, 799, 713, 568, 513, 5078, 10682, 267, 2705, 267, 621, 781, 2182, 547, 1265, 621, 538, 6006, 2228, 563, 4002, 519, 17498, 728, 267, 519, 13053, 1014, 3085, 1405, 2097, 31484, 548, 6954, 267, 2523, 3823, 5826, 269, 1411, 1522, 1265, 3054, 2348, 547, 723, 9804, 19141, 1483, 11220, 607, 1134, 607, 519, 11604, 781, 7252, 1065, 20557, 2094, 789, 666, 5555, 1831, 512, 7568, 1639, 269, 1403, 596, 3442, 547, 979, 585, 513, 2992, 528, 540, 713, 4990, 267, 596, 1058, 2141, 3442, 835, 609, 19141, 609, 513, 8825, 15098, 607, 789, 786, 2063, 3476, 563, 1103, 1840, 267, 649, 12038, 609, 20152, 15966, 16699, 267, 7022, 540, 14986, 4975, 13562, 12002, 540, 24144, 267, 14822, 267, 513, 18758, 1895, 602, 7028, 519, 1857, 538, 13287, 540, 2069, 543, 4690, 538, 17651, 269, 1284, 849, 12038, 609, 15535, 13643, 267, 1776, 4759, 540, 602, 3919, 543, 7022, 540, 661, 743, 15199, 16370, 563, 5472, 540, 519, 24985, 649, 7318, 2097, 609, 513, 476, 736, 7825, 610, 476, 1839, 7825, 2363, 788, 19991, 269, 4107, 540, 519, 3631, 649, 6836, 849, 2097, 609, 513, 476, 1015, 7825, 2363, 788, 19991, 269, 898, 949, 3100, 4831, 842, 30698, 267, 855, 519, 476, 1015, 7825, 2363, 788, 19991, 3091, 811, 3172, 2305, 267, 6721, 606, 23762, 3239, 543, 513, 4130, 2361, 540, 2070, 269, 476, 271, 6078, 321, 6187, 272, 320, 7761 ]

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

[ 318, 12534, 4433, 2187, 1038, 15254, 5091, 551, 815, 4558, 318, 12534, 18425, 5091, 551, 4433, 267, 15254, 5091, 551, 994, 1038, 1820, 263, 12534, 5091, 551, 994, 825, 3116, 912, 1038, 3136, 454, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 1085, 27251, 14714, 1846, 1104, 544, 560, 1846, 454, 5814, 21267, 28272, 607, 12301, 692, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 323, 21648, 1115, 318, 276, 5038, 280, 3199, 318, 9083, 2568, 280, 280, 318, 5158, 7721, 1051, 3599, 27406, 17210, 30607, 19152, 692, 3698, 3403, 312, 8986, 10031, 825, 23288, 825, 901, 1599, 12134, 519, 3593, 547, 3403, 1032, 288, 267, 1032, 289, 543, 11769, 269, 898, 11974, 585, 2241, 7254, 640, 543, 952, 15502, 267, 3274, 7024, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 1032, 288, 815, 476, 271, 454, 825, 1032, 289, 815, 476, 271, 454, 825, 11769, 284, 15234, 692, 825, 1247, 6936, 1384, 1038, 2119, 912, 2018, 1032, 288, 815, 703, 9272, 2891, 8923, 3403, 519, 4358, 1032, 1422, 333, 8442, 2020, 2018, 952, 1032, 288, 13843, 476, 4198, 271, 543, 1032, 288, 2999, 476, 1001, 280, 1384, 3546, 2736, 692, 2018, 3116, 1384, 3546, 1820, 2891, 2791, 723, 9411, 519, 4636, 2418, 585, 1032, 269, 7490, 1118, 2386, 519, 1296, 616, 538, 2039, 476, 4198, 271, 547, 476, 1001, 280, 15419, 1038, 4849, 912, 2018, 1820, 2891, 8923, 2119, 8870, 2418, 1152, 15419, 825, 1247, 6936, 1384, 1038, 2119, 912, 2018, 1032, 289, 284, 703, 9272, 2891, 8923, 3403, 519, 10678, 1032, 1422, 333, 8442, 2020, 2018, 952, 630, 20204, 289, 13843, 476, 4198, 271, 543, 1032, 289, 10922, 476, 1001, 280, 264, 543, 630, 20204, 288, 2999, 1032, 289, 17107, 3546, 2736, 692, 2018, 3116, 1384, 3546, 1820, 2891, 2791, 723, 9411, 519, 4636, 2418, 585, 1032, 269, 7490, 1118, 2386, 519, 1296, 616, 538, 2039, 476, 4198, 271, 547, 476, 1001, 280, 543, 741, 1931, 568, 2953, 15419, 1038, 4849, 912, 2018, 1820, 2891, 8923, 2119, 8870, 2418, 1152, 257, 9239, 825, 11769, 815, 3403, 2891, 8923, 3403, 519, 11769, 630, 12248, 787, 4408, 9385, 333, 15419, 825, 2132, 630, 20204, 288, 267, 1032, 289, 267, 11769, 2020, 30607, 27662, 532, 692, 3698, 1293, 301, 1638, 338, 16597, 284, 323, 21648, 564, 17107, 825, 23288, 825, 901, 1599, 21410, 519, 14275, 2418, 538, 519, 10471, 593, 1169, 6241, 543, 5359, 519, 14275, 2418, 538, 12523, 543, 6871, 454, 825, 2433, 12407, 17093, 281, 13096, 553, 564, 454, 825, 2433, 8873, 281, 7183, 454, 825, 23288, 825, 897, 815, 1592, 16597, 31815, 8435, 994, 825, 2698, 8624, 338, 815, 7003, 17338, 16597, 31815, 8435, 4917, 825, 897, 15575, 301, 1638, 338, 815, 476, 271, 454, 825, 14275, 15575, 815, 476, 271, 692, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 585, 1003, 267, 6241, 538, 26246, 263, 3712, 17107, 1038, 14275, 15575, 815, 1239, 314, 26383, 4940, 529, 333, 1638, 14061, 8999, 10797, 1038, 952, 14275, 15575, 3436, 476, 271, 1384, 2018, 897, 15575, 301, 1638, 338, 815, 897, 15575, 301, 1638, 338, 1341, 476, 272, 692, 2018, 1820, 3488, 346, 271, 348, 6241, 1422, 262, 346, 272, 4153, 262, 3568, 14275, 2418, 3160, 547, 2715, 273, 348, 8339, 8971, 16325, 267, 6241, 267, 14275, 15575, 11723, 825, 1820, 3488, 24001, 9587, 2270, 14275, 2418, 282, 15079, 568, 519, 2698, 1297, 540, 9587, 8339, 8971, 263, 3712, 15575, 301, 1638, 338, 267, 2698, 8624, 338, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 1397, 11073, 11502, 16597, 284, 323, 21648, 564, 267, 19651, 8201, 25716, 17107, 825, 23288, 825, 901, 1599, 2982, 519, 3611, 777, 2002, 338, 607, 568, 538, 741, 6151, 1106, 676, 28321, 741, 4216, 7120, 543, 27008, 454, 825, 2433, 12407, 1239, 281, 13096, 553, 564, 454, 825, 2433, 12407, 1397, 318, 7120, 281, 8771, 676, 9949, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 952, 1397, 8201, 912, 1038, 6241, 815, 1239, 314, 4289, 16597, 31815, 8435, 25011, 274, 27663, 1038, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1428, 267, 476, 1428, 4917, 1038, 12301, 16553, 7120, 263, 273, 267, 272, 267, 272, 994, 1038, 12301, 269, 7901, 7120, 263, 26383, 994, 1038, 12301, 269, 29786, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 26644, 3488, 26213, 7120, 5073, 1038, 12301, 16553, 7120, 263, 273, 267, 272, 267, 273, 994, 1038, 12301, 269, 7290, 263, 26383, 994, 1038, 12301, 11859, 16932, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 269, 29786, 3488, 293, 15968, 3299, 23935, 1125, 284, 1626, 994, 1038, 12301, 26644, 3488, 9303, 6945, 5073, 1038, 12301, 20481, 10797, 825, 2132, 692, 3698, 1293, 11073, 11502, 16597, 284, 323, 21648, 564, 2187, 825, 23288, 825, 4032, 338, 7979, 1512, 1239, 2798, 269, 634, 954, 31642, 850, 2039, 568, 1031, 607, 11973, 538, 4259, 519, 7182, 593, 519, 1239, 269, 589, 2789, 630, 272, 269, 273, 264, 538, 713, 2013, 568, 1031, 454, 825, 547, 4336, 519, 954, 32483, 850, 2039, 547, 1305, 519, 7182, 454, 825, 2433, 12407, 1239, 281, 10471, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 897, 815, 1592, 16597, 31815, 8435, 25011, 274, 6540, 825, 3067, 850, 4037, 267, 3067, 850, 1839, 815, 5286, 269, 704, 1417, 850, 16597, 314, 3712, 3910, 1496, 4037, 267, 476, 1839, 20285, 825, 2539, 21918, 527, 815, 3067, 850, 1839, 910, 16733, 31642, 850, 4037, 6709, 656, 850, 1839, 264, 2608, 272, 269, 273, 994, 825, 5580, 21918, 527, 815, 3067, 850, 4037, 1341, 16733, 31642, 850, 4037, 6709, 656, 850, 1839, 264, 2608, 272, 269, 273, 2020, 825, 1293, 11073, 17067, 815, 7003, 16597, 7456, 665, 314, 14433, 1535, 281, 630, 343, 314, 3712, 316, 3436, 5580, 21918, 527, 264, 1923, 630, 343, 314, 3712, 316, 2999, 2539, 21918, 527, 1070, 2433, 7481, 825, 2600, 11073, 17067, 815, 5180, 6262, 870, 11073, 17067, 270, 6352, 16597, 314, 3712, 8079, 265, 1911, 267, 476, 273, 994, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 1820, 3488, 11073, 11502, 281, 15079, 8339, 8971, 6262, 870, 11073, 17067, 4917, 825, 1820, 3488, 11073, 17067, 20587, 281, 15079, 260, 8339, 8971, 263, 704, 1417, 11073, 17067, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 17993, 528, 1125, 10574, 16597, 301, 267, 1239, 284, 323, 21648, 564, 267, 2539, 21918, 527, 284, 271, 269, 271, 267, 5580, 21918, 527, 284, 271, 269, 271, 267, 1397, 8201, 25716, 2187, 825, 23288, 825, 901, 1599, 3096, 544, 560, 1846, 9884, 1231, 528, 1125, 3890, 547, 17993, 528, 1125, 519, 1239, 269, 898, 3096, 519, 5580, 543, 2539, 7182, 547, 519, 1239, 563, 825, 7102, 1239, 602, 568, 1657, 270, 10964, 578, 713, 3970, 568, 1175, 562, 3553, 3160, 547, 519, 5580, 543, 2539, 7182, 454, 825, 2433, 12407, 1239, 301, 281, 1715, 1239, 547, 581, 17993, 528, 1242, 454, 825, 2433, 12407, 1239, 281, 7351, 1239, 454, 825, 2433, 12407, 2539, 21918, 527, 281, 7799, 1080, 593, 519, 17993, 528, 1436, 454, 825, 2433, 12407, 5580, 21918, 527, 281, 7799, 1080, 593, 519, 17993, 528, 1436, 454, 825, 2433, 12407, 1397, 8201, 281, 4347, 5435, 547, 8771, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 897, 815, 1592, 16597, 31815, 8435, 25011, 274, 2639, 825, 1239, 301, 314, 3712, 316, 815, 544, 560, 1846, 9884, 1231, 528, 1125, 16597, 314, 3712, 3910, 7182, 14352, 12294, 21918, 527, 267, 5580, 21918, 527, 11723, 825, 952, 1397, 8201, 912, 1038, 12301, 8807, 2682, 6600, 12127, 1125, 14352, 1015, 267, 276, 4917, 1038, 12301, 16553, 7120, 263, 13199, 994, 1038, 12301, 269, 7901, 7120, 16597, 314, 3712, 7481, 1038, 12301, 269, 29786, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 26644, 3488, 13092, 15079, 8339, 8971, 263, 3712, 4917, 1038, 12301, 16553, 7120, 263, 14338, 994, 1038, 12301, 269, 7901, 7120, 16597, 301, 314, 3712, 7481, 1038, 12301, 269, 29786, 3488, 16908, 21673, 3599, 630, 312, 8986, 264, 3299, 23935, 1125, 284, 1240, 994, 1038, 12301, 26644, 3488, 7116, 1881, 15079, 8339, 8971, 263, 3712, 4917, 1038, 12301, 20481, 10797, 825, 2132, 692, 5992, 7336, 2610, 692, 3698, 11769, 32417, 263, 550, 640, 267, 1032, 288, 267, 1032, 289, 267, 1239, 17107, 825, 23288, 825, 21964, 25754, 1599, 547, 2824, 519, 9343, 1369, 519, 1032, 288, 547, 1032, 289, 2039, 1927, 609, 519, 11769, 2012, 269, 9208, 3252, 454, 825, 616, 1031, 547, 1265, 519, 7194, 454, 825, 2433, 12407, 11769, 281, 9980, 640, 585, 799, 2493, 568, 547, 581, 7229, 454, 825, 2433, 12407, 1032, 288, 281, 1376, 1032, 454, 825, 2433, 12407, 1032, 289, 281, 1439, 1032, 454, 825, 2433, 12407, 1239, 281, 13096, 553, 564, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 759, 815, 1239, 7456, 665, 314, 14433, 1239, 281, 630, 11907, 9131, 17413, 11172, 13843, 1032, 288, 264, 1299, 630, 11907, 9131, 17413, 11172, 10922, 1032, 289, 264, 1299, 630, 11907, 9131, 22209, 640, 11172, 2652, 11769, 1070, 2433, 6540, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 1820, 3488, 763, 1739, 616, 519, 7194, 585, 2715, 271, 348, 1063, 1296, 2715, 272, 348, 543, 2715, 273, 348, 8339, 8971, 263, 550, 640, 267, 1032, 288, 267, 1032, 289, 4917, 825, 1820, 3488, 8469, 1014, 281, 15079, 8339, 8971, 263, 637, 269, 4364, 1014, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 16655, 3065, 281, 15079, 8339, 8971, 263, 637, 27982, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 14737, 3065, 281, 15079, 8339, 8971, 263, 637, 269, 2381, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 24092, 8061, 12727, 15079, 8339, 8971, 263, 1037, 263, 637, 14714, 323, 19572, 274, 264, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 2518, 32417, 12169, 792, 288, 267, 1032, 289, 267, 1239, 17107, 825, 23288, 825, 21964, 25754, 1599, 547, 2824, 519, 9343, 1369, 519, 1032, 288, 547, 1032, 289, 2039, 269, 9208, 3252, 454, 825, 616, 1031, 547, 1265, 519, 7194, 454, 825, 2433, 12407, 1032, 288, 281, 1376, 1032, 454, 825, 2433, 12407, 1032, 289, 281, 1439, 1032, 454, 825, 2433, 12407, 1239, 281, 13096, 553, 564, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 759, 815, 1239, 7456, 665, 314, 14433, 1239, 281, 630, 11907, 9131, 17413, 11172, 13843, 1032, 288, 264, 1299, 630, 11907, 9131, 17413, 11172, 10922, 1032, 289, 1070, 2433, 6540, 825, 1820, 3488, 5785, 32458, 9339, 5073, 825, 1820, 3488, 763, 1739, 616, 519, 2518, 7194, 1063, 1296, 2715, 271, 348, 543, 2715, 272, 348, 8339, 8971, 12169, 792, 288, 267, 1032, 289, 4917, 825, 1820, 3488, 8469, 1014, 281, 15079, 8339, 8971, 263, 637, 269, 4364, 1014, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 16655, 3065, 281, 15079, 8339, 8971, 263, 637, 27982, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 14737, 3065, 281, 15079, 8339, 8971, 263, 637, 269, 2381, 3890, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 24092, 8061, 12727, 15079, 8339, 8971, 263, 1037, 263, 637, 14714, 323, 19572, 274, 264, 9131, 16908, 19104, 630, 344, 8986, 264, 11172, 4917, 825, 1820, 3488, 5785, 32458, 9339, 17210, 825, 2132, 692, 3698, 5993, 27087, 32417, 12169, 792, 288, 267, 1032, 289, 267, 1239, 17107, 825, 23288, 825, 21964, 25754, 1599, 547, 2824, 519, 9343, 1369, 519, 1032, 288, 547, 1032, 289, 2039, 1927, 609, 519, 11769, 2012, 269, 634, 5697, 454, 825, 1239, 568, 1287, 12055, 730, 936, 609, 8939, 15654, 1032, 9343, 269, 2334, 4564, 519, 5993, 1689, 269, 2405, 1014, 540, 782, 971, 454, 825, 1689, 2418, 568, 6059, 1210, 3044, 3252, 454, 825, 2433, 12407, 1032, 288, 281, 1376, 1032, 454, 825, 2433, 12407, 1032, 289, 281, 1439, 1032, 454, 825, 2433, 12407, 1239, 281, 10471, 454, 825, 2433, 8873, 281, 7183, 454, 825, 15981, 692, 825, 1035, 10574, 815, 1239, 7456, 665, 314, 14433, 1239, 281, 630, 11907, 9131, 17413, 11172, 13843, 1032, 288, 264, 1299, 630, 11907, 9131, 17413, 11172, 10922, 1032, 289 ]

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

[ 9709, 269, 1452, 1083, 1734, 5815, 4398, 543, 7145, 538, 1978, 2127, 540, 519, 1870, 563, 4913, 267, 621, 568, 1271, 547, 5659, 2436, 891, 1083, 1734, 616, 1813, 547, 4264, 2853, 610, 835, 6066, 2621, 269, 674, 303, 26031, 4648, 5659, 891, 15028, 1083, 1734, 547, 20559, 1655, 2853, 602, 666, 581, 556, 6088, 538, 824, 2127, 540, 519, 1870, 269, 3958, 267, 1620, 519, 4128, 3297, 15028, 1083, 1734, 20674, 538, 17975, 20925, 6111, 543, 22343, 3157, 563, 21008, 532, 20907, 539, 543, 2920, 783, 13437, 454, 21008, 532, 6578, 539, 543, 4890, 2773, 568, 513, 4909, 2460, 540, 13065, 2079, 269, 901, 6476, 2337, 538, 1620, 519, 3017, 1063, 6578, 539, 543, 4890, 5515, 2066, 1585, 2883, 14573, 269, 20907, 13065, 2079, 3335, 3322, 17265, 13065, 5359, 602, 1469, 1312, 15028, 543, 30369, 1083, 1734, 538, 2127, 899, 6455, 267, 9276, 267, 543, 2504, 3790, 563, 763, 1445, 568, 593, 1312, 519, 9588, 540, 519, 13065, 543, 519, 5817, 4128, 269, 1280, 606, 4977, 6476, 267, 621, 779, 1898, 547, 946, 513, 8465, 6578, 602, 666, 4188, 547, 2242, 538, 1870, 2175, 269, 901, 6087, 513, 811, 6209, 2079, 267, 13031, 4030, 883, 10512, 4398, 267, 1942, 2359, 267, 543, 2949, 2883, 1072, 563, 25363, 13586, 22043, 633, 589, 2388, 547, 17372, 7352, 1734, 454, 25363, 13586, 30997, 3527, 568, 519, 3803, 1900, 538, 7421, 6578, 1083, 1734, 269, 4495, 1083, 1734, 616, 4857, 543, 741, 3597, 3123, 6956, 267, 519, 1985, 1900, 568, 547, 1491, 30997, 3800, 269, 1452, 3527, 4096, 593, 519, 2470, 540, 519, 13065, 269, 1280, 30369, 1083, 1734, 267, 713, 1522, 4125, 1942, 24408, 1154, 3800, 267, 5355, 10512, 31931, 267, 610, 2847, 2358, 6455, 2994, 563, 2690, 15028, 1083, 1734, 267, 519, 1445, 1522, 581, 593, 1620, 543, 18187, 908, 519, 3811, 2853, 538, 824, 2127, 540, 519, 1870, 269, 634, 2832, 540, 891, 30997, 3527, 568, 711, 1152, 547, 2232, 1699, 1083, 1734, 855, 849, 547, 13217, 519, 22343, 1184, 543, 2087, 2104, 2883, 2773, 269, 8617, 2689, 543, 16369, 1759, 593, 891, 3527, 616, 2808, 513, 1655, 2259, 538, 674, 303, 26031, 267, 4180, 6024, 6454, 543, 2883, 6617, 563, 3963, 568, 20907, 7352, 766, 5811, 12830, 888, 289, 644, 1326, 13065, 2079, 568, 1898, 607, 621, 3800, 519, 3017, 1063, 9709, 543, 4890, 2883, 2773, 267, 3246, 1883, 4030, 883, 519, 1072, 540, 513, 1870, 269, 901, 2259, 540, 9236, 4890, 2164, 547, 6578, 539, 5515, 2636, 3906, 547, 1174, 2436, 519, 13065, 538, 741, 6578, 568, 15028, 610, 30369, 563, 22746, 2079, 568, 2629, 585, 7114, 27753, 538, 2883, 6898, 267, 971, 607, 950, 4890, 8907, 8813, 2110, 540, 23004, 610, 950, 519, 1942, 540, 5370, 4421, 568, 2362, 982, 519, 6578, 539, 2179, 269, 1635, 10223, 891, 1083, 1734, 267, 4213, 666, 1491, 30997, 2962, 267, 4188, 741, 2994, 267, 543, 2087, 2883, 4058, 269, 5047, 267, 13065, 2079, 849, 2337, 538, 10442, 519, 7145, 540, 22343, 2853, 267, 4180, 602, 789, 5447, 609, 2344, 2175, 543, 1870, 6859, 563, 31572, 22418, 10046, 998, 7352, 766, 5811, 454, 24868, 766, 2079, 4249, 513, 4105, 1909, 538, 5883, 6666, 2095, 676, 5473, 9236, 4890, 2883, 1239, 547, 6578, 539, 5515, 269, 901, 1184, 2337, 538, 7114, 1083, 1734, 538, 1883, 2127, 971, 607, 8907, 267, 9276, 267, 543, 16841, 3790, 269, 1879, 8907, 8813, 2110, 610, 9276, 9765, 6578, 539, 5666, 267, 606, 30369, 13065, 4386, 267, 10834, 1761, 6666, 2095, 2152, 563, 3528, 6313, 891, 1083, 1734, 267, 4213, 666, 1491, 14942, 3268, 538, 1942, 8051, 543, 4188, 741, 7836, 547, 2087, 6666, 2095, 269, 7352, 766, 2079, 849, 2636, 585, 513, 1732, 1620, 540, 519, 10512, 3344, 12018, 6666, 2095, 267, 971, 607, 6455, 4320, 610, 1942, 31931, 267, 7175, 811, 4977, 20925, 543, 2500, 6666, 2095, 2359, 563, 25219, 559, 1944, 7352, 766, 5811, 547, 13724, 20907, 532, 6713, 454, 24868, 766, 5811, 568, 711, 1152, 513, 1907, 585, 5464, 2883, 2773, 855, 849, 513, 2629, 5057, 538, 7393, 519, 22343, 1184, 269, 1635, 9236, 4890, 2418, 1996, 6578, 539, 5515, 267, 4213, 666, 2697, 2436, 1083, 1734, 8451, 689, 32601, 22343, 610, 10512, 13546, 1553, 13853, 563, 1607, 2079, 2488, 4030, 883, 2127, 1141, 22343, 2853, 949, 991, 11941, 267, 971, 607, 538, 21501, 6455, 4320, 610, 1788, 532, 16841, 3790, 269, 634, 5955, 689, 13065, 2079, 568, 17170, 585, 2679, 513, 811, 4977, 543, 10853, 6578, 267, 2921, 883, 2272, 1312, 2250, 2773, 543, 2104, 6788, 269, 898, 7512, 6024, 6454, 538, 22343, 2553, 267, 15268, 873, 547, 4657, 2344, 2175, 543, 1870, 19178, 563, 28274, 2920, 783, 7352, 766, 5811, 585, 17423, 10435, 454, 8002, 783, 13065, 2079, 568, 7533, 547, 5483, 3375, 6194, 538, 1870, 269, 1635, 7421, 519, 13065, 540, 3732, 1239, 689, 2883, 6898, 267, 971, 607, 4890, 8907, 8957, 6578, 539, 9072, 610, 4890, 3790, 8957, 9709, 24723, 267, 3906, 2744, 2565, 4030, 269, 901, 2079, 2337, 3313, 2436, 513, 13065, 568, 1813, 547, 5007, 2188, 610, 4835, 13546, 1553, 13853, 563, 2690, 3236, 267, 606, 30369, 7274, 13065, 538, 2504, 666, 5815, 2152, 538, 10512, 3157, 269, 634, 1239, 6508, 689, 6578, 13065, 2079, 10274, 3401, 538, 1818, 7580, 3664, 267, 971, 607, 14577, 14499, 2994, 267, 556, 718, 20814, 2200, 267, 610, 2921, 30997, 2962, 547, 5447, 609, 2344, 3466, 543, 1870, 6859, 563, 305, 1961, 540, 20907, 7352, 766, 538, 674, 303, 26031, 630, 26296, 12020, 1299, 5811, 994, 1103, 11038, 12020, 1299, 5811, 630, 17025, 26031, 1070, 6578, 13065, 4249, 513, 11358, 1909, 269, 898, 3322, 513, 9488, 6514, 540, 1083, 1734, 1063, 6578, 539, 543, 4890, 2883, 2164, 267, 799, 568, 2629, 585, 7580, 4058, 543, 20925, 269, 901, 2259, 540, 9236, 4890, 2164, 547, 6578, 539, 5515, 2337, 538, 7114, 2127, 540, 936, 610, 896, 26024, 563, 22746, 2079, 6087, 674, 303, 26031, 4648, 547, 1174, 519, 1764, 540, 2344, 2175, 543, 4835, 2188, 593, 2883, 4093, 269, 1635, 3246, 513, 2312, 4605, 540, 2883, 2773, 267, 13065, 2079, 20674, 538, 17975, 20925, 3631, 267, 14577, 2883, 2994, 267, 543, 4180, 602, 519, 3919, 779, 2883, 3853, 616, 13988, 609, 922, 10512, 7207, 543, 2344, 19178, 563, 25363, 13586, 7454, 13756, 585, 13229, 7352, 766, 5811, 454, 25363, 13586, 1655, 2853, 585, 2500, 13065, 2079, 568, 4105, 585, 4977, 2883, 2359, 543, 4058, 269, 901, 3322, 4259, 909, 513, 9836, 1935, 547, 5781, 5635, 4890, 2883, 1239, 1996, 6578, 539, 5515, 269, 6206, 2853, 1331, 4509, 2143, 543, 6896, 2883, 5638, 267, 1210, 5812, 2409, 585, 12719, 543, 8989, 1083, 1734, 267, 543, 4180, 782, 4143, 2319, 2818, 616, 8036, 538, 1620, 543, 16208, 891, 1083, 1734, 563, 2005, 779, 849, 1271, 547, 2015, 1312, 15028, 543, 30369, 1083, 1734, 267, 7421, 519, 5817, 4128, 585, 891, 27753, 269, 17115, 21130, 519, 6578, 547, 2992, 2242, 538, 2344, 2175, 610, 10512, 2994, 568, 1898, 269, 13229, 13065, 2079, 3340, 513, 10319, 4674, 267, 609, 3403, 689, 1585, 13623, 547, 1683, 513, 3102, 2070, 540, 519, 3919, 779, 2883, 1072, 563, 13349, 9537, 540, 20907, 7352, 1734, 454, 289, 644, 1326, 1083, 1734, 616, 3604, 1063, 6578, 539, 2418, 543, 4890, 4093, 269, 634, 1034, 1455, 2010, 1331, 4320, 267, 3902, 267, 543, 4398, 1083, 1734, 269, 11730, 13065, 4386, 950, 519, 4890, 7274, 540, 4559, 3812, 610, 4421, 15320, 689, 519, 6578, 539, 2179, 267, 18363, 8907, 610, 1942, 269, 12313, 13065, 14340, 950, 519, 4890, 3902, 540, 11378, 610, 2472, 1821, 28179, 689, 519, 6578, 539, 3902, 267, 7133, 3790, 610, 8907, 563, 292, 11797, 13065, 568, 4767, 950, 519, 7274, 540, 2200, 1031, 547, 3132, 513, 2016, 3977, 568, 1114, 689, 519, 6578, 539, 2179, 267, 1419, 2938, 538, 4074, 610, 1570, 6165, 269, 1452, 1083, 1734, 616, 2629, 547, 2697, 607, 789, 1683, 513, 3391, 585, 519, 1870, 593, 2127, 8506, 3007, 269, 1635, 9236, 6578, 539, 2418, 538, 835, 6241, 547, 4890, 2418, 585, 519, 1482, 1974, 267, 3906, 666, 3927, 3950, 543, 4383, 891, 1083, 1734, 267, 1818, 5483, 1870, 3664, 563, 8139, 8534, 8779, 7352, 1734, 454, 299, 1987, 1942, 1083, 1734, 2049, 950, 972, 568, 513, 15739, 32735, 1063, 519, 6578, 539, 3790, 585, 4074, 543, 519, 4890, 3790, 30309, 269, 1452, 1083, 1734, 666, 581, 1759, 593, 1463, 4074, 3108, 610, 4074, 3928, 269, 589, 15028, 13065, 4523, 950, 519, 4890, 4074, 3790, 616, 2539, 982, 519, 6578, 539, 267, 799, 666, 1267, 689, 9878, 2539, 13848, 982, 9709, 610, 8506, 7864, 3108, 547, 2347, 513, 4305, 563, 3519, 14287, 267, 606, 30369, 13065, 1131, 581, 4767, 950, 4074, 3790, 2097, 538, 2362, 982, 4397, 267, 7654, 1813, 547, 936, 5503, 610, 2362, 13230, 3928, 269, 17291, 543, 1620, 891, 1083, 1734, 568, 1271, 585, 5883, 4074, 3790, 3927, 269, 898, 3322, 7421, 519, 3123, 267, 799, 1223, 2039, 689, 2242, 538, 2344, 3928, 547, 13546, 1553, 13853, 538, 4074, 17293, 269, 18601, 891, 1083, 1734, 568, 513, 1883, 2359, 1907, 585, 9013, 2504, 3790, 543, 17306, 13781, 13345, 563, 24066, 15070, 12313, 7352, 1734, 538, 20907, 532, 454, 25820, 1083, 1734, 538, 22343, 2049, 950, 519, 4890, 1942, 540, 2326, 610, 2533, 15320, 689, 1018, 729, 6578, 539, 269, 901, 1826, 540, 13065, 568, 1713, 267, 2523, 585, 4213, 602, 7048, 8185, 593, 6151, 2326, 610, 5007, 2533, 269, 589, 15028, 3902, 13065, 4523, 950, 519, 4890, 5777, 616, 2539, 982, 519, 6578, 539, 5777, 267, 5732, 1813, 547, 2344, 2175, 610, 2500, 19908, 563, 2304, 30369, 13065, 267, 593, 519, 824, 1688, 267, 14340, 950, 3790, 616, 2362, 982, 4397, 269, 28518, 3902, 1083, 1734, 568, 1898, 585, 1942, 2359, 267, 607, 621, 2337, 538, 1620, 519, 11385, 908, 3790, 540, 5370, 543, 2533, 269, 8617, 5464, 543, 2079, 540, 891, 1083, 1734, 5512, 4213, 547, 4188, 741, 11449, 2994, 543, 6578, 23004, 267, 4509, 20656, 543, 8013, 14499, 563, 22860, 4506, 11730, 7352, 1734, 538, 14863, 12033, 454, 24127, 1083, 1734, 538, 23348, 2049, 950, 519, 4890, 1297, 540, 4559, 3812, 610, 4421, 15320, 689, 519, 6578, 539, 2179, 269, 901, 13065, 568, 2629, 585, 4213, 607, 621, 2047, 5222, 8907, 543, 6378, 3790, 269, 589, 15028, 4320, 13065, 4523, 950, 811, 4559, 616, 4421, 610, 3812, 3379, 547, 519, 6578, 267, 5732, 3056, 547, 2362, 19614, 563, 3519, 14287, 267, 606, 30369, 4320, 13065, 4386, 950, 7864, 4559, 616, 4421, 610, 3812, 267, 7654, 4611, 538, 2539, 19614, 543, 896, 268, 583, 28895, 2200, 269, 20907, 13065, 2079, 2337, 4213, 5659, 4320, 1083, 1734, 543, 1174, 2344, 3747, 543, 2504, 4398, 269, 898, 779, 1898, 585, 1818, 7580, 3664, 3823, 2504, 2157, 267, 6725, 3646, 267, 543, 4199, 14305, 269, 6452, 23847, 20925, 543, 8465, 22343, 666, 948, 538, 1732, 5883, 891, 1083, 1734, 563, 21008, 532, 15474, 543, 20134, 7352, 1734, 454, 21008, 532, 2318, 630, 325, 27544, 264, 543, 2942, 630, 684, 325, 27544, 264, 1083, 1734, 568, 4909, 538, 6578, 13065, 2079, 269, 589, 2318, 13065, 6920, 602, 519, 4890, 2164, 616, 1732, 982, 519, 6578, 539, 3283, 267, 899, 2539, 3790, 610, 2362, 19614, 269, 20134, 1083, 1734, 7866, 519, 6587, 267, 1141, 4890, 2164, 616, 8338, 982, 4397, 269, 24951, 891, 1083, 1734, 2488, 3407, 4030, 883, 1870, 2773, 563, 2005, 2337, 538, 7114, 2127, 1141, 519, 1870, 568, 4597, 532, 543, 2127, 602, 991, 6454, 269, 4197, 519, 3123, 540, 891, 1083, 1734, 267, 2436, 789, 6565, 689, 2344, 2175, 267, 10512, 4398, 267, 610, 14499, 2994, 267, 568, 2629, 585, 7580, 4058, 543, 3375, 6194, 269, 8617, 2079, 540, 891, 1083, 1734, 2636, 4213, 547, 4188, 741, 12485, 543, 2087, 2949, 2883, 1072, 563, 305, 1961, 540, 24619, 9917, 564, 538, 20907, 7352, 766, 5811, 454, 306, 7331, 9917, 1115, 616, 513, 4105, 2359, 1907, 538, 519, 6578, 13065, 2079, 1505, 267, 5356, 513, 3760, 585, 12180, 543, 9236, 2883, 1239, 269, 1358, 1450, 585, 519, 13307, 540, 6578, 539, 2418, 538, 835, 6241, 543, 4890, 2418, 538, 1776, 267, 28976, 519, 6476, 269, 17972, 899, 519, 2048, 12534, 685, 4542, 666, 581, 1031, 547, 5173, 1083, 1734, 2047, 1369, 519, 22369, 269, 24619, 9917, 1115, 1489, 4528, 1852, 267, 4180, 4977, 543, 909, 3562, 15082, 1344, 568, 1031, 538, 519, 2504, 540, 519, 1867, 563, 12234, 267, 789, 666, 6023, 1804, 3732, 1239, 5036, 543, 30387, 1239, 676, 1880 ]

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

[ 2171, 539, 2359, 1310, 11944, 454, 763, 2359, 2853, 1310, 11944, 2705, 616, 1175, 607, 1271, 269, 28018, 707, 7693, 610, 27892, 5781, 585, 18290, 2208, 563, 2252, 18047, 1831, 513, 1966, 596, 723, 513, 1297, 540, 3681, 1930, 547, 596, 912, 268, 2422, 513, 16496, 10786, 8336, 547, 6146, 18047, 563, 268, 21864, 21737, 610, 1793, 4770, 666, 948, 2569, 18290, 2208, 269, 3400, 2763, 8185, 538, 2110, 5712, 547, 4894, 18047, 563, 268, 16792, 6992, 16014, 949, 948, 538, 930, 3871, 563, 268, 28981, 18720, 666, 4894, 18047, 563, 10702, 2853, 547, 12366, 1047, 707, 7031, 616, 281, 20993, 519, 3037, 2298, 609, 7908, 559, 16014, 543, 7863, 689, 7786, 563, 288, 26894, 11934, 3622, 2154, 713, 4543, 1688, 267, 2016, 922, 1970, 12680, 269, 8479, 2371, 2523, 991, 1434, 6484, 563, 7197, 7031, 543, 2250, 999, 666, 4324, 689, 513, 5818, 1310, 694, 5338, 563, 19185, 856, 585, 5521, 6285, 607, 851, 540, 2834, 7693, 24422, 666, 948, 9004, 741, 1764, 540, 6932, 610, 3964, 7031, 543, 2250, 999, 563, 268, 2422, 5701, 6079, 563, 268, 1975, 2001, 952, 1152, 2556, 563, 268, 22320, 2249, 610, 8677, 11259, 547, 2199, 1455, 10860, 630, 2041, 2386, 547, 2638, 609, 6237, 9666, 619, 543, 8069, 1101, 1040, 0, 1103, 2617, 566, 538, 519, 3560, 5823, 568, 513, 6117, 3196, 585, 1689, 543, 666, 3565, 547, 2870, 811, 3160, 3560, 1949, 676, 2810, 2021, 779, 10688, 543, 2870, 3255, 585, 7694, 538, 3560, 269, 1717, 267, 519, 13044, 268, 866, 6855, 814, 19018, 958, 4299, 2021, 543, 6690, 269, 7201, 2391, 7862, 2152, 723, 1044, 14556, 1881, 1282, 713, 6433, 269, 16743, 3112, 7759, 519, 3560, 5823, 689, 8635, 676, 3294, 282, 3609, 15670, 723, 606, 1271, 1909, 538, 5466, 8635, 563, 763, 8668, 293, 1867, 11394, 547, 5031, 891, 2042, 269, 3245, 519, 32090, 13398, 267, 5689, 514, 28741, 802, 5459, 543, 5760, 8403, 670, 341, 573, 339, 6601, 1263, 320, 731, 723, 8329, 609, 606, 2376, 593, 3838, 10688, 563, 18131, 2951, 8335, 982, 2367, 269, 6468, 1491, 10156, 15143, 267, 13173, 1453, 547, 1153, 543, 16837, 2238, 267, 543, 798, 17365, 10918, 269, 901, 6988, 538, 2951, 3270, 568, 711, 10630, 538, 519, 3560, 1062, 799, 568, 5097, 2966, 547, 5512, 2804, 2534, 543, 547, 3560, 3755, 689, 1753, 547, 960, 269, 645, 833, 6879, 2130, 568, 9763, 607, 513, 4264, 1797, 540, 3560, 543, 568, 1419, 2219, 547, 4324, 782, 269, 12846, 267, 1382, 2982, 602, 11332, 6879, 2130, 1949, 616, 5631, 1031, 676, 2367, 269, 20212, 538, 2951, 3270, 543, 2115, 723, 711, 1044, 2808, 538, 1646, 540, 11332, 6879, 2130, 1949, 269, 645, 833, 10473, 616, 2356, 4092, 2673, 547, 28737, 1141, 2367, 960, 269, 4518, 17541, 609, 2362, 8167, 540, 2021, 616, 1419, 711, 4448, 547, 519, 1062, 269, 29853, 4058, 2115, 547, 581, 8537, 543, 2919, 585, 513, 10636, 18100, 1895, 609, 1114, 2115, 269, 3194, 538, 4008, 568, 2556, 547, 1683, 1702, 538, 713, 1858, 563, 5649, 519, 2407, 1867, 1934, 281, 13255, 16743, 585, 12655, 4886, 281, 589, 13834, 21887, 1923, 8668, 293, 630, 527, 325, 27984, 21967, 3820, 264, 0, 763, 5046, 268, 866, 6855, 10969, 730, 519, 29617, 2872, 267, 11488, 18213, 3747, 20034, 5471, 532, 543, 32168, 532, 19057, 883, 7963, 269, 1809, 1256, 607, 772, 2529, 269, 2011, 6050, 2941, 539, 609, 519, 5222, 540, 519, 6433, 543, 5249, 547, 948, 4431, 547, 621, 676, 24317, 2564, 10986, 267, 3937, 543, 811, 5063, 10074, 2066, 519, 2197, 543, 1472, 519, 1158, 267, 789, 941, 5462, 547, 4434, 741, 10728, 2825, 19647, 543, 1118, 519, 2872, 779, 22638, 6051, 513, 4264, 835, 563, 2108, 8601, 519, 2942, 5222, 267, 519, 14042, 5222, 267, 540, 5046, 268, 866, 593, 2011, 6050, 267, 649, 2611, 8149, 547, 5885, 2825, 3356, 543, 547, 8236, 6940, 538, 938, 5823, 2223, 5794, 6050, 585, 3013, 18947, 19737, 10615, 540, 7025, 16457, 7033, 623, 2129, 548, 6045, 693, 713, 3018, 779, 5691, 17459, 16026, 28645, 30433, 543, 2506, 3827, 32600, 269, 968, 1692, 798, 649, 2731, 798, 713, 286, 3245, 938, 1448, 540, 2070, 267, 602, 1797, 2679, 593, 938, 2178, 2594, 3034, 4517, 513, 2178, 2594, 621, 568, 281, 13405, 547, 519, 5046, 268, 866, 6433, 267, 772, 2529, 269, 2011, 6050, 941, 24317, 513, 2594, 476, 273, 269, 276, 2929, 15915, 543, 476, 6812, 267, 1822, 9748, 540, 18535, 829, 1554, 267, 6117, 936, 476, 276, 2600, 540, 519, 4182, 779, 12654, 1247, 7700, 1175, 476, 273, 2600, 540, 922, 8511, 3154, 5434, 269, 3683, 519, 2250, 1896, 5756, 267, 772, 2529, 269, 19057, 723, 13497, 4824, 4492, 4398, 543, 4389, 3327, 8166, 5434, 676, 10115, 17542, 538, 4492, 22766, 8484, 543, 9817, 267, 5499, 4066, 899, 13617, 7410, 267, 799, 2087, 7098, 19392, 267, 543, 5969, 12967, 8905, 268, 9953, 574, 1436, 3301, 269, 769, 1249, 267, 789, 4824, 741, 4492, 4398, 676, 476, 2412, 2600, 1063, 476, 1220, 271, 543, 476, 1001, 280, 4805, 563, 1103, 519, 22984, 540, 519, 6855, 267, 772, 2529, 269, 19057, 556, 3530, 3305, 539, 741, 7029, 547, 606, 3486, 6876, 1572, 519, 12539, 5510, 3553, 1154, 543, 22159, 30868, 585, 4139, 28645, 630, 290, 27633, 8656, 1070, 799, 7125, 585, 3327, 16250, 23018, 2208, 538, 3486, 3540, 18229, 4098, 713, 1032, 267, 607, 1134, 607, 547, 606, 16529, 3804, 540, 5969, 2121, 3327, 5434, 538, 3368, 538, 476, 13078, 271, 3448, 547, 476, 1220, 276, 2157, 269, 1358, 849, 20888, 519, 10073, 540, 606, 3486, 4492, 4398, 543, 5434, 3044, 585, 1007, 5010, 8484, 607, 1134, 607, 519, 13170, 540, 513, 18749, 1826, 540, 4264, 18229, 4492, 269, 634, 2417, 1646, 543, 17293, 540, 4264, 18229, 4492, 786, 581, 2629, 547, 8757, 519, 2872, 779, 16529, 5434, 3853, 267, 543, 772, 2529, 269, 2011, 6050, 723, 2907, 13175, 2324, 609, 519, 1007, 7245, 543, 6837, 547, 1020, 4507, 602, 786, 948, 1118, 602, 2009, 563, 10527, 10782, 2804, 6433, 538, 938, 2872, 779, 1686, 267, 543, 649, 4076, 1185, 513, 1297, 540, 2804, 16839, 2507, 814, 1152, 22541, 938, 7029, 547, 6940, 543, 519, 1604, 2223, 623, 2129, 548, 1767, 563, 303, 2129, 548, 849, 12006, 513, 968, 338, 559, 591, 16298, 892, 547, 519, 6855, 779, 14042, 1764, 593, 519, 29617, 2872, 267, 799, 7142, 519, 27733, 540, 5176, 3368, 540, 519, 772, 2529, 269, 18213, 18239, 281, 968, 2005, 779, 18965, 519, 1427, 3931, 540, 1447, 3608, 8484, 267, 865, 607, 519, 2872, 973, 13569, 543, 25579, 8460, 922, 18239, 267, 621, 779, 2469, 547, 798, 865, 609, 1007, 267, 811, 3608, 8484, 2223, 646, 1767, 563, 4517, 1346, 1007, 267, 811, 3608, 8484, 711, 1152, 12520, 1447, 3327, 8166, 267, 789, 849, 12520, 1447, 6846, 563, 2108, 2026, 4238, 9156, 267, 609, 1007, 8484, 5189, 267, 6846, 12632, 786, 581, 1256, 26982, 2678, 2094, 2221, 779, 8484, 616, 827, 476, 2004, 2600, 26982, 2678, 982, 476, 1015, 1296, 3516, 543, 476, 4037, 2600, 26982, 2678, 982, 1101, 22831, 15191, 8484, 2223, 5794, 6050, 585, 3013, 10615, 540, 7025, 16457, 7638, 517, 3821, 17659, 2917, 6045, 693, 519, 1623, 24007, 563, 308, 2529, 269, 2011, 6050, 685, 2594, 540, 4227, 20987, 6846, 568, 1175, 607, 2178, 607, 922, 2594, 540, 4227, 8511, 3154, 5434, 281, 4595, 476, 3192, 276, 267, 772, 2529, 269, 19057, 723, 4389, 519, 1297, 540, 1004, 6534, 547, 1713, 6846, 676, 476, 11463, 2600, 267, 2687, 547, 519, 8549, 28645, 10029, 267, 1519, 513, 476, 2004, 2600, 5786, 1175, 2094, 476, 1220, 271, 563, 2108, 4407, 519, 18213, 19057, 3068, 513, 1279, 4155, 547, 6051, 267, 782, 772, 2529, 269, 2011, 6050, 2611, 8149, 547, 4227, 6846, 5222, 593, 2199, 2950, 2223, 17659, 2917, 1767, 563, 4517, 607, 519, 29617, 2872, 267, 519, 2197, 543, 519, 1158, 979, 1524, 602, 4155, 547, 6051, 267, 772, 2529, 269, 18213, 543, 18535, 19057, 786, 960, 2182, 547, 1118, 519, 6051, 513, 4264, 835, 269, 772, 2529, 269, 2011, 6050, 616, 8149, 547, 7863, 519, 4541, 607, 789, 556, 6618, 621, 267, 543, 789, 786, 3136, 547, 1291, 519, 4339, 1996, 2916, 1689, 676, 10115, 538, 1346, 26982, 2678, 267, 811, 4492, 18026, 8484, 267, 5665, 873, 538, 5051, 3608, 2081, 543, 3384, 543, 1210, 4264, 18229, 10173, 563, 2414, 1451, 811, 827, 519, 772, 2529, 269, 29617, 2872, 779, 7029, 547, 519, 1604, 267, 5225, 3643, 5794, 6050, 293, 569, 16675, 2593, 269, 0, 6097, 547, 13474, 320, 1695, 3896, 267, 3084, 1554, 540, 20528, 568, 1169, 5130, 476, 272, 269, 20528, 729, 2322, 896, 2178, 4914, 2604, 547, 1439, 3592, 1079, 5756, 540, 3540, 2112, 269, 634, 2229, 543, 519, 9501, 299, 300, 1368, 20482, 8759, 8815, 538, 5130, 593, 513, 24044, 13933, 538, 519, 715, 18866, 15142, 538, 3844, 20528, 269, 1323, 3486, 5464, 1895, 729, 2366, 547, 519, 1858, 563, 1103, 4873, 267, 4708, 16395, 3459, 538, 15057, 267, 799, 1310, 2947, 4374, 19411, 730, 538, 606, 6876, 538, 6240, 593, 1079, 540, 519, 3844, 2152, 540, 519, 4655, 269, 634, 2229, 8815, 602, 9099, 1876, 1058, 4019, 1152, 538, 519, 5087, 543, 602, 519, 7264, 540, 519, 5045, 1058, 581, 2016, 513, 22275, 31558, 593, 2009, 7115, 1310, 3670, 1296, 540, 4708, 563, 288, 1007, 5180, 540, 16395, 3459, 538, 4864, 267, 855, 1312, 5011, 9738, 513, 1164, 1377, 540, 23982, 585, 2112, 269, 2991, 513, 1906, 4374, 519, 7391, 2968, 18843, 539, 2094, 519, 1368, 20482, 8759, 1185, 3144, 513, 21825, 1271, 1747, 269, 1280, 513, 942, 267, 18979, 8165, 729, 10692, 2394, 519, 6105, 8815, 593, 513, 24044, 13933, 593, 5239, 476, 1626, 267, 519, 1101, 540, 519, 3003, 4655, 269, 6736, 930, 5496, 1094, 951, 267, 4708, 12909, 4797, 543, 519, 24044, 13933, 729, 6905, 547, 4728, 476, 4029, 267, 476, 1220, 274, 563, 1103, 4873, 476, 2735, 280, 267, 4937, 645, 1662, 597, 24057, 4319, 519, 7022, 543, 1500, 519, 2229, 3743, 585, 519, 2197, 779, 2797, 20300, 6433, 269, 645, 1662, 597, 771, 7171, 539, 519, 2797, 6105, 267, 4646, 513, 476, 1428, 2173, 1897, 4108, 795, 2863, 320, 543, 16219, 547, 1439, 519, 2112, 563, 307, 523, 3275, 1310, 519, 19420, 267, 824, 10492, 5342, 513, 19420, 3801, 269, 2311, 519, 1482, 942, 267, 8942, 676, 18629, 267, 15057, 267, 24063, 267, 2098, 320, 2231, 543, 519, 2136, 2276, 8959, 547, 1199, 5573, 538, 519, 2197, 779, 1486, 26167, 4835, 4655, 269, 634, 1585, 4708, 7341, 8959, 267, 1247, 2229, 10136, 543, 4164, 26090, 6259, 2516, 14102, 676, 645, 1662, 597, 5734, 519, 1004, 540, 519, 5045, 269, 634, 3979, 1004, 538, 519, 3162, 941, 4749, 7142, 547, 4734, 741, 3338, 1813, 547, 6285, 676, 891, 4108, 4559, 563, 4002, 5988, 476, 275, 267, 476, 1960, 272, 267, 519, 2229, 5189, 513, 10480, 518, 894, 2497, 538, 519, 2197, 269, 20528, 729, 5258, 883, 476, 280, 2829, 267, 1142, 13950, 676, 513, 17294, 543, 513, 14012, 658, 14643, 269, 1325, 2819, 593, 5130, 476, 4029, 267, 4937, 744, 3405, 645, 1662, 597, 779, 2229, 1185, 9896, 513, 1007, 7803, 1876, 1759, 593, 9099, 1744, 7559, 1107, 1498, 1152, 538, 519, 7187, 851, 540, 519, 2197, 1141, 5771, 568, 519, 8789, 4984, 563, 1103, 519, 1101, 3275, 540, 476, 1960, 273, 267, 519, 2136, 2276, 8433, 585, 28155, 8081, 28715, 519, 9836, 608, 3410, 1588, 540, 715, 889, 1014, 16350, 607, 1134, 607, 519, 12761, 540, 1004, 1996, 9390, 2127, 269, 1452, 2663, 22646, 585, 10609, 691, 537, 332, 267, 1141, 789, 941, 6394, 538, 13122, 1510, 6704, 1216, 610, 4234, 21218, 563, 1103, 4728, 267, 609, 519, 1489, 540, 18629, 267, 9459, 543, 8644, 5984, 267, 519, 2229, 3459, 513, 4108, 18086, 1996, 519, 4658, 779, 8644, 3130, 8136, 630, 293, 289, 1070, 2921, 593, 519, 2749, 540, 645, 1817, 538, 519, 5045, 267, 799, 729, 513, 3090, 540, 519, 32574, 563, 8601, 922, 4108, 18086, 267, 519, 2229, 4503, 2479, 811, 1852, 936, 519, 9703, 540, 519, 2197, 269, 769, 519, 5045, 13234, 519, 4658, 779, 8644, 3130, 8136, 267, 3366, 676, 3627, 12275, 836, 267, 543, 538, 519, 5087, 519, 715, 553, 597, 31111, 1895, 3366, 676, 681, 773, 330, 631, 1662, 541, 267, 945, 1185, 7745, 856, 540, 519, 4658, 779, 8644, 3130, 8136, 269, 634, 18633, 3510, 3366, 519, 2229, 547, 10880, 2182, 1996, 519, 11685, 543, 538, 519, 24781, 1996, 519, 14252 ]

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

[ 0, 1432, 568, 2808, 513, 1126, 286, 589, 1126, 568, 513, 1480, 1373, 945, 814, 711, 6603, 519, 2085, 540, 5354, 269, 634, 2085, 540, 5354, 568, 476, 1240, 1296, 2025, 538, 1034, 2477, 267, 855, 621, 949, 581, 1114, 538, 930, 2477, 269, 589, 1126, 568, 513, 5634, 267, 2576, 945, 568, 711, 606, 2937, 563, 1432, 2085, 568, 835, 2808, 1126, 888, 1432, 2085, 568, 835, 2808, 513, 1126, 888, 2467, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 621, 9775, 689, 2197, 547, 2197, 543, 1256, 689, 1533, 547, 1533, 269, 769, 2489, 267, 1034, 2477, 543, 2829, 2015, 513, 1268, 547, 581, 513, 1126, 2394, 789, 3914, 519, 2085, 540, 476, 1240, 269, 1717, 267, 972, 616, 930, 17756, 269, 1280, 1383, 267, 538, 519, 2136, 2276, 267, 513, 1268, 568, 2808, 513, 1126, 2394, 789, 3914, 519, 2085, 540, 476, 2641, 269, 901, 568, 1813, 547, 519, 1249, 602, 519, 6704, 2085, 538, 519, 2136, 2276, 568, 476, 2641, 563, 2467, 616, 513, 1297, 540, 4128, 1946, 519, 2085, 540, 476, 1240, 568, 2808, 547, 581, 519, 2085, 540, 15296, 538, 1034, 2477, 269, 2290, 540, 519, 1292, 4128, 568, 602, 476, 1240, 568, 519, 2085, 693, 799, 513, 1268, 568, 16155, 4847, 547, 8917, 267, 1129, 11731, 267, 543, 581, 4371, 18177, 585, 741, 3527, 269, 6271, 2601, 568, 602, 476, 1240, 568, 3622, 2808, 547, 581, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 9921, 2614, 547, 1118, 3664, 585, 2933, 563, 8601, 519, 1249, 602, 476, 1240, 568, 3622, 2808, 547, 581, 519, 2085, 540, 15296, 267, 972, 616, 930, 2477, 1141, 519, 2085, 540, 5354, 568, 2539, 269, 1280, 1383, 267, 538, 16266, 519, 2085, 540, 5354, 568, 476, 1240, 267, 538, 3567, 621, 568, 476, 736, 267, 543, 538, 18335, 621, 568, 476, 2641, 269, 17957, 267, 972, 616, 930, 2477, 1141, 519, 2085, 540, 5354, 568, 2362, 269, 1280, 1383, 267, 538, 5527, 519, 2085, 540, 5354, 568, 476, 1839, 267, 538, 8478, 621, 568, 476, 1789, 267, 543, 538, 18142, 17936, 621, 568, 476, 3374, 563, 3383, 267, 1018, 2085, 568, 835, 2808, 513, 1126, 286, 634, 2626, 547, 713, 2243, 5673, 593, 519, 2197, 610, 1533, 538, 799, 596, 2661, 269, 769, 1034, 2665, 267, 2705, 267, 519, 2626, 568, 476, 1240, 563, 3674, 476, 1704, 1296, 2025, 1869, 513, 1126, 888, 1103, 1034, 2477, 267, 519, 2085, 540, 5354, 568, 476, 1240, 269, 901, 568, 519, 2085, 693, 799, 513, 1268, 568, 16155, 2808, 606, 2937, 269, 769, 930, 2665, 267, 971, 607, 538, 519, 2136, 2276, 267, 519, 2085, 540, 5354, 568, 2539, 267, 693, 476, 2641, 269, 901, 1797, 602, 513, 1268, 945, 568, 476, 2641, 610, 4587, 568, 2808, 547, 581, 606, 2937, 538, 519, 4064, 540, 519, 1876, 563, 2467, 568, 1100, 17046, 2626, 547, 519, 2243, 540, 2436, 476, 1704, 568, 1869, 513, 1126, 269, 901, 786, 4096, 593, 519, 2197, 538, 2243, 543, 593, 519, 1808, 4031, 602, 616, 538, 1747, 269, 769, 930, 2665, 267, 513, 1268, 945, 568, 476, 1704, 949, 581, 2808, 547, 581, 513, 1126, 267, 1247, 538, 1866, 267, 789, 949, 581, 2808, 547, 581, 606, 2937, 563, 2005, 568, 1271, 547, 4063, 602, 519, 2085, 540, 5354, 568, 711, 519, 1482, 607, 519, 2085, 540, 9844, 269, 634, 2085, 540, 9844, 568, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 16155, 2111, 547, 9844, 547, 4638, 2534, 269, 634, 2085, 540, 5354, 568, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 16155, 606, 2937, 563, 3674, 1373, 476, 1321, 2808, 513, 1126, 888, 1103, 1082, 4025, 1472, 519, 1158, 267, 519, 2626, 547, 713, 2243, 1131, 581, 513, 759, 15929, 968, 13433, 1848, 1809, 972, 616, 849, 2477, 1141, 519, 3656, 2085, 540, 15296, 568, 2539, 982, 476, 1321, 269, 1924, 267, 1018, 568, 519, 2626, 888, 1103, 1034, 4025, 267, 519, 2085, 540, 5354, 1107, 519, 2085, 693, 799, 513, 1268, 568, 2808, 606, 2937, 538, 519, 4064, 540, 519, 1876, 1107, 568, 476, 1240, 269, 1809, 972, 616, 513, 1297, 540, 17756, 269, 769, 18335, 267, 585, 1383, 267, 519, 2085, 540, 5354, 568, 476, 1691, 269, 1656, 538, 3567, 267, 621, 779, 476, 736, 563, 3383, 267, 1946, 568, 972, 971, 8390, 689, 2197, 547, 2197, 286, 634, 2626, 814, 547, 798, 609, 513, 3099, 540, 2188, 267, 1519, 2528, 267, 4984, 267, 543, 2245, 563, 1103, 930, 2665, 267, 519, 2085, 540, 5354, 568, 2539, 1317, 519, 3656, 1062, 15109, 1295, 832, 547, 581, 538, 513, 1533, 540, 13829, 269, 901, 568, 519, 2013, 538, 18335, 267, 1141, 519, 1876, 2829, 602, 1295, 832, 616, 968, 684, 762, 547, 1491, 1416, 540, 2933, 3034, 1103, 824, 2665, 267, 519, 2085, 540, 5354, 568, 2539, 1317, 540, 519, 2956, 540, 1920, 543, 2245, 269, 769, 3567, 267, 585, 1383, 267, 519, 2085, 540, 5354, 568, 2539, 1317, 519, 2197, 2418, 519, 2956, 540, 1920, 269, 5545, 2528, 9598, 919, 602, 1453, 1058, 2661, 609, 741, 3237, 2394, 789, 3914, 513, 1978, 2085, 1107, 538, 1034, 2665, 267, 9310, 15185, 7227, 2394, 741, 1453, 616, 693, 2547, 476, 736, 1296, 2025, 1354, 3001, 856, 563, 3383, 267, 568, 1373, 476, 1321, 2808, 513, 1126, 286, 898, 5673, 593, 1141, 596, 2661, 563, 3674, 476, 1240, 1869, 513, 1126, 888, 3674, 476, 1240, 1869, 513, 1126, 286, 901, 568, 513, 2243, 602, 814, 1044, 23503, 585, 1296, 269, 1703, 616, 1346, 945, 3494, 602, 2899, 513, 1268, 7140, 476, 1240, 267, 789, 616, 2808, 606, 2937, 543, 1058, 581, 5701, 607, 971, 269, 1703, 616, 849, 1346, 945, 3494, 602, 476, 1240, 568, 1869, 1932, 1762, 547, 581, 2808, 606, 2937, 267, 543, 602, 1004, 1058, 711, 581, 2016, 519, 2407, 2924, 543, 9021, 540, 15296, 2394, 789, 616, 4587, 563, 2467, 616, 513, 1297, 540, 2188, 602, 991, 547, 581, 2808, 950, 16460, 713, 2243, 269, 2290, 568, 519, 3656, 4214, 540, 15296, 269, 769, 1034, 2477, 267, 519, 2085, 540, 5354, 568, 476, 1240, 269, 901, 1797, 602, 1004, 896, 519, 2085, 540, 476, 1240, 616, 2808, 1295, 832, 267, 543, 616, 711, 4847, 547, 1118, 1978, 3664, 1510, 519, 9844, 540, 741, 3237, 610, 25330, 269, 1358, 616, 849, 711, 4847, 547, 8917, 267, 4196, 593, 513, 21139, 267, 610, 4444, 4568, 610, 13189, 563, 5194, 3815, 547, 2015, 568, 15657, 269, 1703, 568, 1100, 1305, 2085, 693, 799, 513, 1268, 3587, 4628, 9921, 269, 901, 9775, 689, 1268, 547, 1268, 269, 2368, 476, 1240, 4458, 29419, 616, 1360, 9921, 543, 616, 2111, 547, 6023, 519, 9021, 540, 15296, 267, 1247, 1866, 616, 711, 3833, 4712, 585, 621, 563, 2467, 568, 1100, 2653, 2626, 547, 519, 2243, 540, 2436, 476, 1240, 568, 1869, 513, 1126, 269, 898, 5673, 593, 1367, 6381, 269, 2368, 476, 1240, 4458, 29419, 616, 4712, 547, 581, 4079, 267, 1247, 1866, 616, 711, 269, 898, 568, 909, 547, 1142, 1268, 547, 6430, 950, 789, 616, 4712, 547, 1491, 593, 519, 9021, 540, 15296, 563, 1432, 2085, 616, 596, 1100, 3476, 513, 4819, 888, 2467, 568, 1100, 17046, 2626, 547, 713, 2243, 607, 3025, 779, 2833, 543, 8847, 540, 968, 330, 573, 892, 543, 968, 326, 3497, 909, 892, 786, 581, 1114, 269, 1717, 267, 649, 666, 2263, 930, 2489, 2093, 827, 950, 1004, 3247, 6236, 2933, 3214, 563, 3080, 1455, 4214, 540, 513, 968, 330, 573, 892, 568, 2576, 945, 568, 711, 2943, 606, 2937, 269, 4340, 547, 713, 4214, 267, 1004, 3247, 1373, 3214, 950, 789, 3914, 15296, 267, 799, 568, 3335, 2808, 547, 581, 476, 1240, 610, 476, 2641, 1296, 2025, 267, 4470, 593, 519, 2197, 563, 4913, 267, 972, 616, 849, 1082, 1004, 945, 2015, 2933, 3214, 1134, 883, 741, 1000, 550, 625, 610, 1256, 19412, 2906, 269, 901, 949, 581, 1813, 547, 519, 1249, 602, 519, 5912, 547, 15296, 568, 4742, 5051, 16607, 267, 607, 1004, 616, 9363, 538, 1153, 3476, 543, 8488, 532, 7365, 543, 30822, 11856, 563, 27407, 267, 972, 568, 1100, 2582, 2626, 547, 713, 2243, 269, 898, 568, 16148, 543, 5673, 593, 1142, 1268, 779, 1367, 2833, 543, 4214, 540, 968, 330, 573, 1848, 1717, 267, 649, 666, 2263, 930, 2489, 2093, 827, 950, 1004, 3247, 6236, 2933, 3214, 563, 3674, 476, 1839, 1869, 513, 4819, 888, 763, 2626, 547, 713, 2243, 568, 513, 759, 15929, 267, 968, 2005, 5673, 3034, 1103, 1082, 2081, 267, 476, 1839, 568, 1869, 1762, 269, 1411, 666, 2693, 2503, 547, 723, 1082, 1296, 540, 1434, 1072, 6619, 540, 596, 267, 543, 596, 2461, 2693, 711, 2943, 6849, 1082, 540, 519, 2591, 602, 2097, 609, 2663, 15296, 563, 4913, 267, 476, 1839, 568, 849, 1100, 3476, 513, 21717, 267, 543, 596, 2461, 2693, 4358, 547, 1995, 930, 540, 519, 2591, 543, 9021, 540, 15296, 269, 1411, 949, 581, 4358, 547, 1589, 827, 707, 4876, 543, 707, 2104, 811, 12517, 267, 543, 596, 949, 581, 4358, 547, 1118, 3664, 602, 786, 723, 513, 9434, 1764, 593, 707, 1272, 563, 3383, 267, 568, 476, 1839, 1869, 513, 4819, 286, 898, 5673, 593, 707, 5133, 269, 476, 1839, 568, 1762, 2614, 547, 723, 513, 2603, 540, 1272, 6619, 540, 596, 267, 855, 621, 779, 849, 2025, 2614, 547, 1376, 2921, 707, 1272, 12517, 563, 1432, 2085, 568, 513, 2937, 888, 1432, 2085, 568, 513, 2937, 888, 763, 3656, 2085, 540, 15296, 538, 519, 2136, 2276, 568, 476, 1240, 269, 901, 1797, 602, 2043, 945, 616, 476, 1240, 1296, 610, 4587, 616, 2808, 547, 581, 16155, 4079, 543, 616, 3743, 585, 741, 1378, 3527, 269, 1703, 616, 930, 17756, 547, 713, 4341, 267, 971, 607, 538, 519, 2013, 540, 4108, 3028, 610, 13359, 267, 1141, 519, 2085, 540, 15296, 568, 476, 2641, 563, 2467, 568, 1100, 835, 2626, 547, 519, 2243, 540, 1018, 2085, 568, 513, 2937, 267, 607, 972, 568, 1100, 2582, 4214, 540, 15296, 269, 769, 930, 2665, 267, 15296, 949, 3277, 547, 519, 2085, 693, 799, 513, 1268, 568, 2111, 547, 16155, 1118, 741, 1378, 3664, 269, 769, 824, 2665, 267, 621, 949, 3277, 547, 519, 2085, 693, 799, 513, 1268, 568, 2808, 547, 581, 14156, 610, 15508, 9921, 2614, 547, 6023, 2937, 9021, 563, 763, 2085, 540, 15296, 666, 4268, 689, 2197, 547, 2197, 269, 769, 930, 2477, 267, 971, 607, 16266, 543, 18335, 267, 519, 2085, 540, 15296, 568, 476, 1240, 269, 769, 824, 2477, 267, 971, 607, 9459, 543, 18142, 17936, 267, 519, 2085, 540, 15296, 568, 476, 2641, 563, 2467, 568, 1100, 835, 2626, 547, 519, 2243, 540, 1018, 2085, 568, 513, 2937, 269, 11086, 267, 621, 568, 909, 547, 1142, 1367, 547, 6430, 950, 789, 1745, 4712, 547, 1491, 593, 519, 9021, 540, 15296, 269, 0, 763, 6639, 8441, 540, 519, 2250, 1906, 5756, 723, 3366, 547, 1082, 1007, 2081, 540, 2792, 267, 1519, 3381, 1476, 17182, 269, 901, 568, 513, 2029, 602, 2636, 1004, 547, 5968, 609, 1142, 824, 1210, 513, 1357, 31748, 543, 4950, 4276, 269, 1703, 616, 1082, 5383, 547, 1210, 3381, 1476, 17182, 267, 1519, 519, 2702, 547, 1294, 543, 5873, 519, 1268, 596, 616, 6158, 547, 267, 607, 1134, 607, 1373, 2111, 547, 2671, 6054, 543, 6119, 269, 11473, 1476, 17182, 666, 581, 1031, 585, 1870, 11401, 267, 1920, 19771, 267, 610, 1256, 1175, 13680, 7391, 1063, 2828, 563, 3080, 5413, 540, 3381, 1476, 17182, 568, 602, 621, 2636, 596, 547, 1294, 519, 1268, 596, 616, 6158, 609, 269, 901, 666, 581, 5363, 538, 1870, 11401, 950, 3843, 547, 15378, 1560, 1893, 543, 11132, 7215, 269, 898, 666, 849, 581, 6225, 538, 2123, 7391, 1317, 621, 3947, 596, 513, 1732, 2631, 540, 4276, 609, 519, 824, 1268, 269, 6271, 5413, 540, 3381, 1476, 17182, 568, 602, 621, 2636, 596, 547, 2671, 6054, 543, 6119, 3362, 1282, 707, 6643, 269, 901, 666, 581, 5363, 952, 596, 991, 547, 1397, 2576, 513, 17948, 6881, 610, 606, 1271, 3561, 1282, 707, 5870, 610, 10004, 8400, 269, 0, 5715, 14995, 267, 1683, 6505, 1769, 269, 4495, 3964, 267, 2115, 1152, 17573, 1216, 1282, 519, 3905, 4005, 269, 5901, 3592, 3819, 538, 519, 5162, 269, 1234, 27896, 622, 1169, 476, 274, 268, 275, 1296, 538, 2038, 5614, 676, 804, 6235, 543, 556, 268, 549, 7627, 887, 3553, 5052, 563, 289, 525, 728, 1657, 267, 875, 798, 596, 29608, 13711, 15090, 3149 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1820, 3488, 13040, 268, 279, 5325, 815, 910, 278, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 13040, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4366, 912, 1038, 1820, 3488, 13040, 268, 279, 4366, 815, 910, 278, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 13040, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5392, 912, 1038, 1820, 3488, 13040, 268, 279, 5392, 815, 910, 278, 5655, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 8517, 912, 1038, 1820, 3488, 10482, 268, 8517, 815, 910, 7597, 273, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 272, 912, 1038, 1820, 3488, 10482, 268, 3199, 272, 815, 910, 7597, 274, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 26764, 912, 1038, 1820, 3488, 10482, 268, 26764, 815, 910, 7597, 275, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 274, 912, 1038, 1820, 3488, 10482, 268, 3199, 274, 815, 910, 277, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 275, 912, 1038, 1820, 3488, 10482, 268, 3199, 275, 815, 910, 7597, 277, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 276, 912, 1038, 1820, 3488, 10482, 268, 3199, 276, 815, 910, 7597, 278, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 277, 912, 1038, 1820, 3488, 10482, 268, 3199, 277, 815, 910, 277, 7176, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 278, 912, 1038, 1820, 3488, 10482, 268, 3199, 278, 815, 910, 277, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 279, 912, 1038, 1820, 3488, 10482, 268, 3199, 279, 815, 910, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 280, 912, 1038, 1820, 3488, 10482, 268, 3199, 280, 815, 910, 3583, 272, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1015, 912, 1038, 1820, 3488, 10482, 268, 279, 1015, 815, 910, 3583, 273, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1556, 912, 1038, 1820, 3488, 10482, 268, 279, 1556, 815, 910, 3583, 274, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1321, 912, 1038, 1820, 3488, 10482, 268, 279, 1321, 815, 910, 3583, 275, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1724, 912, 1038, 1820, 3488, 10482, 268, 279, 1724, 815, 910, 3583, 276, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1691, 912, 1038, 1820, 3488, 10482, 268, 279, 1691, 815, 910, 3583, 277, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1428, 912, 1038, 1820, 3488, 10482, 268, 279, 1428, 815, 910, 3583, 278, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1626, 912, 1038, 1820, 3488, 10482, 268, 279, 1626, 815, 910, 3583, 279, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1704, 912, 1038, 1820, 3488, 10482, 268, 279, 1704, 815, 910, 3583, 280, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1240, 912, 1038, 1820, 3488, 10482, 268, 279, 1240, 815, 910, 278, 1015, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 866, 912, 1038, 1820, 3488, 10482, 268, 279, 866, 815, 910, 278, 1556, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 736, 912, 1038, 1820, 3488, 10482, 268, 279, 736, 815, 910, 278, 1321, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2641, 912, 1038, 1820, 3488, 10482, 268, 279, 2641, 815, 910, 278, 1724, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2420, 912, 1038, 1820, 3488, 10482, 268, 279, 2420, 815, 910, 278, 1691, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2537, 912, 1038, 1820, 3488, 10482, 268, 279, 2537, 815, 910, 278, 1428, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2190, 912, 1038, 1820, 3488, 10482, 268, 279, 2190, 815, 910, 278, 1626, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1839, 912, 1038, 1820, 3488, 10482, 268, 279, 1839, 815, 910, 278, 1704, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2918, 912, 1038, 1820, 3488, 10482, 268, 279, 2918, 815, 910, 278, 1240, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2767, 912, 1038, 1820, 3488, 10482, 268, 279, 2767, 815, 910, 278, 866, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2764, 912, 1038, 1820, 3488, 10482, 268, 279, 2764, 815, 910, 24798, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3066, 912, 1038, 1820, 3488, 10482, 268, 279, 3066, 815, 910, 278, 2641, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1789, 912, 1038, 1820, 3488, 10482, 268, 279, 1789, 815, 910, 278, 2420, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4029, 912, 1038, 1820, 3488, 10482, 268, 279, 4029, 815, 910, 278, 2537, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3953, 912, 1038, 1820, 3488, 10482, 268, 279, 3953, 815, 910, 278, 2190, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3451, 912, 1038, 1820, 3488, 10482, 268, 279, 3451, 815, 910, 278, 1839, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4097, 912, 1038, 1820, 3488, 10482, 268, 279, 4097, 815, 910, 278, 2918, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3374, 912, 1038, 1820, 3488, 10482, 268, 279, 3374, 815, 910, 278, 2767, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3607, 912, 1038, 1820, 3488, 10482, 268, 279, 3607, 815, 910, 278, 2764, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4391, 912, 1038, 1820, 3488, 10482, 268, 279, 4391, 815, 910, 278, 3066, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4343, 912, 1038, 1820, 3488, 10482, 268, 279, 4343, 815, 910, 278, 1789, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4375, 912, 1038, 1820, 3488, 10482, 268, 279, 4375, 815, 910, 278, 4029, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 2412, 912, 1038, 1820, 3488, 10482, 268, 279, 2412, 815, 910, 278, 3953, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 6078, 912, 1038, 1820, 3488, 10482, 268, 279, 6078, 815, 910, 278, 3451, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5655, 912, 1038, 1820, 3488, 10482, 268, 279, 5655, 815, 910, 278, 4097, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 6246, 912, 1038, 1820, 3488, 10482, 268, 279, 6246, 815, 910, 278, 3374, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4510, 912, 1038, 1820, 3488, 10482, 268, 279, 4510, 815, 910, 278, 3607, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 3393, 912, 1038, 1820, 3488, 10482, 268, 279, 3393, 815, 910, 278, 4391, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5379, 912, 1038, 1820, 3488, 10482, 268, 279, 5379, 815, 910, 278, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5325, 912, 1038, 1820, 3488, 10482, 268, 279, 5325, 815, 910, 278, 4375, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 4366, 912, 1038, 1820, 3488, 10482, 268, 279, 4366, 815, 910, 278, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 10482, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 5392, 912, 1038, 1820, 3488, 10482, 268, 279, 5392, 815, 910, 278, 6078, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 8517, 912, 1038, 1820, 3488, 11820, 268, 8517, 815, 910, 7597, 272, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 272, 912, 1038, 1820, 3488, 11820, 268, 3199, 272, 815, 910, 7597, 273, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 26764, 912, 1038, 1820, 3488, 11820, 268, 26764, 815, 910, 7597, 274, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 274, 912, 1038, 1820, 3488, 11820, 268, 3199, 274, 815, 910, 7597, 275, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 275, 912, 1038, 1820, 3488, 11820, 268, 3199, 275, 815, 910, 277, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 276, 912, 1038, 1820, 3488, 11820, 268, 3199, 276, 815, 910, 7597, 277, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 277, 912, 1038, 1820, 3488, 11820, 268, 3199, 277, 815, 910, 7597, 278, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 278, 912, 1038, 1820, 3488, 11820, 268, 3199, 278, 815, 910, 277, 7176, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 279, 912, 1038, 1820, 3488, 11820, 268, 3199, 279, 815, 910, 277, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 3199, 280, 912, 1038, 1820, 3488, 11820, 268, 3199, 280, 815, 910, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1015, 912, 1038, 1820, 3488, 11820, 268, 279, 1015, 815, 910, 3583, 272, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1556, 912, 1038, 1820, 3488, 11820, 268, 279, 1556, 815, 910, 3583, 273, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1321, 912, 1038, 1820, 3488, 11820, 268, 279, 1321, 815, 910, 3583, 274, 5073, 825, 952, 1003, 272, 2652, 476, 11820, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 279, 1724, 912, 1038, 1820, 3488, 11820, 268, 279, 1724, 815, 910, 3583, 275, 5073, 825 ]

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

[ 562, 815, 476, 271, 10371, 631, 266, 301, 268, 273, 1547, 14424, 519, 1267, 547, 519, 5276, 28708, 540, 1535, 543, 586, 269, 634, 1085, 27251, 4732, 793, 531, 26769, 341, 9876, 3890, 1599, 1152, 2488, 834, 332, 1712, 257, 855, 711, 834, 20129, 776, 2580, 1247, 519, 5365, 26769, 341, 9876, 273, 323, 3890, 1599, 2115, 476, 273, 323, 5044, 607, 3403, 907, 2991, 596, 538, 3200, 519, 1587, 540, 519, 667, 10499, 338, 267, 11677, 1152, 519, 1101, 715, 1341, 700, 910, 476, 272, 2609, 269, 901, 6257, 513, 2241, 1505, 594, 1336, 547, 798, 9764, 28708, 267, 799, 594, 1589, 568, 12863, 982, 17830, 15481, 630, 842, 610, 24042, 264, 1107, 12025, 540, 519, 5996, 6295, 17830, 269, 594, 4898, 952, 972, 781, 513, 1599, 538, 11885, 270, 2675, 27251, 585, 476, 272, 323, 5044, 9764, 28708, 269, 8562, 983, 28708, 14340, 1034, 1419, 538, 519, 2796, 540, 3728, 28708, 609, 513, 3728, 22263, 2981, 630, 293, 10499, 264, 5690, 269, 1411, 666, 849, 2824, 513, 1357, 3135, 689, 519, 1739, 1592, 281, 8564, 519, 3624, 3135, 630, 514, 4457, 610, 2296, 264, 585, 1655, 3135, 2773, 269, 2637, 4733, 1079, 10321, 543, 12337, 741, 1110, 25222, 268, 275, 9764, 28708, 269, 9373, 1101, 1239, 5311, 281, 9373, 2034, 1239, 5311, 281, 12433, 1763, 564, 281, 28088, 1239, 5311, 281, 1230, 23728, 9819, 269, 2073, 1412, 516, 12393, 1412, 610, 1412, 15132, 983, 1412, 3510, 14340, 538, 519, 1257, 568, 12628, 538, 713, 2807, 3738, 5690, 23422, 23556, 29283, 1239, 19554, 856, 938, 824, 2979, 26732, 971, 607, 15053, 4577, 6399, 18185, 610, 13379, 539, 18185, 1862, 1772, 1256, 1454, 12863, 1141, 513, 1062, 630, 700, 2316, 1062, 3738, 666, 581, 982, 256, 769, 5365, 14409, 1141, 513, 1062, 630, 700, 2316, 1062, 3738, 666, 581, 5612, 15600, 1184, 29349, 568, 1582, 256, 3525, 25222, 268, 274, 9764, 28708, 9764, 28708, 9498, 581, 5612, 15600, 267, 1422, 325, 7901, 2715, 476, 11011, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 3738, 568, 11609, 1210, 6516, 256, 1677, 24590, 519, 5276, 28708, 540, 1804, 1239, 1606, 1115, 26893, 267, 2230, 610, 4283, 607, 3021, 2209, 707, 1862, 3738, 1948, 9764, 28708, 9498, 670, 630, 512, 3738, 1948, 1948, 670, 630, 512, 1948, 1862, 4569, 26732, 971, 607, 15053, 4577, 6399, 18185, 610, 13379, 539, 19105, 18185, 547, 5635, 1930, 5288, 9764, 28708, 568, 540, 1862, 8562, 983, 10889, 1359, 568, 562, 1405, 2877, 585, 513, 28708, 9819, 1062, 4642, 15581, 3210, 1813, 547, 1022, 3403, 9789, 1271, 256, 1677, 281, 5403, 22227, 630, 2311, 558, 3738, 7427, 619, 519, 2034, 1766, 663, 547, 16783, 609, 519, 9949, 3977, 3259, 5403, 630, 256, 22549, 267, 14950, 519, 28708, 540, 519, 667, 10499, 338, 267, 11677, 1152, 519, 1101, 10421, 14249, 267, 9764, 28708, 9498, 609, 2807, 674, 630, 512, 3738, 568, 9764, 28708, 609, 966, 776, 532, 3977, 3259, 267, 14950, 519, 28708, 476, 274, 256, 7316, 1422, 630, 1422, 322, 597, 743, 539, 770, 1422, 3738, 568, 1634, 607, 28708, 543, 5635, 621, 547, 519, 5276, 28708, 616, 20979, 256, 901, 6516, 581, 9674, 1210, 5624, 3541, 7788, 1695, 1889, 267, 30385, 9948, 546, 817, 6178, 1446, 256, 4635, 5624, 1031, 547, 5996, 9876, 1079, 15768, 22263, 2981, 9696, 20193, 568, 5488, 585, 1279, 982, 269, 19243, 6908, 586, 630, 715, 2845, 476, 273, 715, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 17354, 269, 1403, 596, 798, 711, 14574, 715, 267, 1287, 519, 28708, 585, 476, 274, 5094, 2665, 28708, 585, 476, 274, 5094, 27085, 20837, 586, 630, 715, 3738, 607, 11609, 538, 4137, 476, 276, 803, 2491, 621, 513, 2370, 596, 2824, 281, 547, 269, 1280, 811, 1344, 267, 1294, 14840, 30731, 12793, 593, 513, 29453, 630, 23155, 17270, 15484, 7901, 3738, 1294, 269, 7102, 3403, 9789, 1034, 1271, 1966, 585, 5276, 1949, 3738, 4238, 630, 5569, 267, 18593, 3738, 12025, 1862, 1422, 3738, 568, 11609, 1210, 513, 6516, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 3738, 568, 1210, 256, 5525, 519, 30424, 540, 5276, 1062, 3069, 4610, 666, 581, 5488, 982, 5276, 28708, 540, 3403, 10321, 267, 1535, 586, 1862, 28088, 547, 519, 5276, 28708, 540, 1535, 543, 586, 1101, 715, 1341, 700, 910, 476, 272, 2609, 23463, 1862, 1656, 536, 269, 715, 568, 519, 3259, 540, 519, 3119, 2035, 540, 5276, 1062, 2807, 7956, 4610, 1141, 596, 4283, 519, 1101, 10421, 1862, 9948, 546, 817, 5884, 6178, 1446, 3541, 269, 20023, 6261, 32061, 3773, 547, 1312, 5011, 540, 519, 1079, 6786, 267, 7551, 17598, 519, 1101, 10421, 513, 269, 1924, 267, 798, 1775, 991, 547, 798, 713, 547, 5635, 1930, 5288, 9764, 28708, 11532, 519, 540, 269, 26361, 3009, 585, 28708, 18185, 519, 9756, 1599, 540, 535, 630, 512, 3738, 568, 9764, 28708, 540, 3403, 10321, 1535, 1862, 14938, 1878, 883, 513, 2582, 9764, 28708, 9498, 5311, 281, 4283, 2034, 1239, 5311, 281, 9819, 256, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 1482, 267, 543, 519, 1964, 568, 3274, 16053, 12337, 28708, 256, 1677, 1685, 741, 9273, 630, 1422, 322, 597, 743, 539, 770, 1422, 3738, 741, 1110, 25222, 268, 275, 9764, 28708, 540, 1804, 1239, 1606, 1115, 267, 256, 4112, 534, 2218, 855, 1577, 803, 2491, 621, 513, 2370, 2147, 547, 519, 5276, 28708, 1599, 5996, 946, 1114, 547, 256, 3933, 2195, 3516, 1310, 1142, 3977, 3625, 568, 6383, 621, 568, 519, 3259, 540, 5996, 6295, 12727, 28708, 9819, 267, 1317, 1169, 3732, 666, 581, 5488, 982, 5276, 28708, 519, 28708, 3259, 543, 1281, 7941, 1862, 3657, 13366, 538, 519, 2796, 540, 3728, 28708, 609, 966, 776, 532, 3977, 3259, 568, 4130, 982, 519, 28708, 543, 798, 1039, 256, 6904, 5337, 2803, 3606, 21325, 538, 519, 2796, 540, 519, 1257, 568, 12628, 713, 269, 595, 935, 341, 609, 575, 30298, 26161, 3615, 3340, 23155, 17270, 15484, 7901, 3738, 547, 1294, 1018, 13382, 5825, 616, 6462, 28708, 540, 256, 1656, 31669, 519, 2034, 1239, 5311, 281, 4283, 2034, 1239, 5311, 519, 1062, 4642, 15581, 3210, 1813, 547, 3403, 9789, 269, 18185, 602, 568, 1031, 547, 5996, 9876, 1079, 15768, 22263, 2981, 630, 674, 10499, 3738, 5690, 3444, 2275, 528, 21975, 269, 8298, 476, 273, 715, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 1482, 3259, 607, 519, 3476, 1422, 1862, 7043, 9696, 982, 5276, 28708, 2491, 621, 513, 2370, 5365, 1373, 2813, 1063, 1142, 3942, 799, 24222, 538, 519, 2796, 540, 519, 1079, 6786, 9967, 540, 513, 5384, 3126, 6780, 513, 1862, 18452, 2039, 616, 2808, 547, 10956, 21237, 267, 7551, 17598, 519, 1101, 715, 1341, 700, 910, 2609, 1862, 30770, 9764, 28708, 568, 835, 540, 519, 1257, 568, 12628, 538, 713, 6516, 28708, 538, 547, 269, 634, 4611, 6152, 11885, 26769, 341, 9876, 855, 621, 568, 1256, 1454, 12863, 883, 519, 5996, 9407, 6908, 269, 590, 1938, 540, 519, 1257, 4610, 666, 581, 5488, 982, 5276, 28708, 9764, 28708, 9498, 543, 1862, 9061, 4211, 528, 21975, 17223, 1210, 1535, 14585, 337, 7788, 1695, 1889, 267, 30385, 9948, 546, 817, 5884, 6178, 1446, 14193, 29967, 518, 15595, 321, 3541, 546, 3420, 5884, 13096, 839, 24477, 2763, 2040, 540, 9696, 1421, 1317, 1169, 3732, 666, 581, 9674, 1210, 5624, 1210, 519, 28708, 2173, 738, 328, 6473, 11532, 602, 621, 568, 1454, 269, 476, 11011, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 3738, 568, 11609, 1210, 513, 6516, 20735, 568, 1114, 689, 3009, 2807, 3245, 3009, 20735, 547, 5996, 9876, 1079, 15768, 22263, 2981, 630, 674, 10499, 3738, 5690, 3259, 267, 12213, 4804, 5365, 269, 2201, 707, 1062, 3340, 23155, 17270, 15484, 7901, 12814, 3301, 6786, 538, 835, 6389, 547, 538, 1862, 589, 3728, 22263, 2981, 9696, 20193, 568, 5488, 585, 1279, 9696, 267, 9764, 28708, 267, 519, 1599, 1085, 27251, 4732, 793, 531, 269, 742, 339, 935, 341, 9876, 7518, 1080, 674, 10499, 1862, 1717, 267, 1082, 6620, 616, 8045, 538, 5933, 267, 609, 606, 13591, 1373, 256, 1323, 6697, 607, 609, 5276, 28708, 513, 6152, 610, 575, 30298, 26161, 12213, 4804, 585, 5365, 1141, 256, 2142, 5488, 982, 5276, 28708, 267, 1239, 2798, 3544, 519, 3403, 1239, 23652, 513, 256, 3738, 1107, 1412, 24029, 22207, 1412, 516, 12393, 1412, 610, 1412, 15132, 983, 1412, 5403, 22227, 630, 2311, 558, 3738, 7427, 619, 2322, 543, 269, 769, 835, 6389, 547, 8691, 538, 519, 30731, 4971, 32001, 9764, 28708, 1599, 524, 935, 341, 519, 1862, 8562, 983, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 1482, 267, 543, 1775, 11313, 29755, 899, 609, 30731, 28708, 883, 1079, 3887, 2211, 14249, 543, 2040, 2719, 519, 14249, 6383, 1862, 8081, 281, 8786, 4137, 476, 275, 281, 16503, 1674, 540, 9764, 28708, 11532, 519, 5311, 540, 9411, 1862, 932, 2335, 1564, 3812, 676, 519, 28708, 543, 5635, 621, 547, 519, 30731, 10378, 29683, 1210, 5531, 6620, 616, 8045, 538, 267, 256, 1677, 5996, 9876, 1079, 15768, 22263, 2981, 9696, 20193, 568, 5488, 585, 1279, 9696, 982, 5276, 28708, 1775, 256, 21277, 1027, 676, 519, 28708, 540, 519, 1079, 10321, 267, 1535, 543, 586, 593, 519, 29453, 1210, 575, 30298, 26161, 9764, 568, 256, 962, 630, 715, 2845, 476, 273, 715, 3738, 9764, 569, 5996, 11510, 10321, 513, 543, 536, 269, 715, 568, 519, 3259, 519, 1862, 3690, 3836, 1543, 1141, 2139, 543, 1294, 2199, 2621, 543, 3091, 1107, 1412, 24029, 22207, 1412, 10915, 937, 1412, 1412, 516, 12393, 1862, 23556, 29283, 1239, 19554, 585, 513, 9764, 28708, 543, 5276, 28708, 1599, 5996, 946, 1114, 6620, 547, 1685, 9273, 269, 12433, 1763, 564, 281, 1267, 1239, 5311, 281, 28708, 9819, 267, 1317, 1169, 3732, 666, 5612, 256, 4856, 4046, 4637, 547, 713, 30731, 4971, 281, 14840, 519, 4971, 676, 10024, 621, 538, 5365, 14409, 609, 907, 23422, 23556, 29283, 1239, 19554, 16453, 28708, 741, 9764, 28708, 1599, 5996, 946, 6620, 269, 901, 547, 5635, 1930, 5288, 9764, 28708, 568, 6697, 547, 519, 3444, 2275, 528, 21975, 17223, 1210, 1535, 14585, 337, 267, 256, 9105, 7726, 18542, 476, 275, 1296, 267, 476, 277, 3275, 3516, 630, 1990, 3738, 815, 272, 22271, 268, 272, 5488, 585, 1279, 9696, 982, 5276, 540, 1862, 1280, 8030, 543, 3744, 568, 3160, 547, 610, 3677, 982, 519, 28708, 3259, 543, 9764, 28708, 9498, 711, 621, 269, 10610, 540, 519, 1079, 10321, 267, 1535, 543, 586, 267, 715, 3738, 607, 538, 256, 2986, 1804, 1239, 1606, 1115, 540, 3403, 9764, 28708, 9498, 267, 1535, 543, 586, 676, 10024, 621, 538, 5365, 14409, 609, 1599, 256, 13379, 539, 19105, 18185, 610, 575, 30298, 26161, 1535, 267, 586, 267, 715, 3738, 4238, 3119, 2035, 540, 5276, 1062, 3069, 1110, 25222, 268, 275, 28708, 269, 5681, 540, 1079, 9696, 524, 935, 341, 547, 12337, 9764, 28708, 267, 9062, 519, 2609, 896, 1142, 1866, 543, 1039, 519, 6152, 256, 3718, 10628, 1210, 5531, 1079, 1257, 4610, 1141, 596, 4283, 519, 1101, 10421, 476, 272, 269, 271, 269, 271, 476, 2537, 269, 279, 1862, 853, 1137, 267, 609, 606, 13591, 5365, 1373, 2813, 1063, 1142, 3942, 1422, 325, 7901, 2715, 476, 11011, 7684, 267, 10170, 267, 6434, 267, 14862, 315, 7684, 1422, 568, 1862, 6399, 18185, 610, 13379, 539, 19105, 18185, 1210, 575, 30298, 26161, 13382, 5825, 616, 6462, 3732, 666, 581, 5488, 982, 5276, 28708, 5996, 256, 13017, 602, 14687, 547, 713, 30731, 4971, 32001, 543, 2040, 2719, 519, 14249, 9949, 3977, 3259, 568, 3160, 547, 610, 982, 256, 589, 6516, 689, 3009, 20735, 1582, 28706, 855, 1577, 803, 2491, 621, 513, 2370, 676, 519, 28708, 513, 602, 1862, 6052, 5295, 10414, 5384, 17726, 23422, 23556, 29283, 1239, 19554, 30424, 540, 5276, 1062, 3069, 11677, 1152, 1101, 269, 898, 547, 519, 5276, 28708, 267, 519, 1739, 5690, 568, 3411, 823, 799, 5337, 2803, 3606, 21325, 538, 519, 1560, 540, 15768, 6066, 256, 634, 3403, 12337, 9764, 28708, 666, 581, 5488, 982, 5276, 28708, 1599, 5996, 1114, 256, 9948, 546, 817, 5884, 6178, 1446, 14193, 29967, 518, 15595, 321, 3541, 546, 3420, 5884, 13096, 839, 24477, 2763, 513, 9168, 4528, 540, 1383, 269, 16258, 22263, 2981, 630, 674, 10499, 3738, 5690, 674, 5306, 2426, 1666, 328, 1068, 14193, 325, 3541, 7788, 1695, 1889, 1496, 256, 26275, 9764, 28708, 568, 835, 540, 519, 4611, 6152, 630, 667, 307, 10499, 3738, 23556, 1239, 1862, 1230, 23728, 538, 25037, 547, 16453, 28708, 14249, 267, 899, 609 ]

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

[ 269, 634, 6578, 5048, 1281, 711, 7447, 2698, 23831, 585, 476, 3192, 279, 610, 476, 3192, 280, 865, 621, 3112, 7447, 519, 772, 2529, 269, 1909, 563, 763, 6578, 5048, 7074, 602, 834, 325, 3985, 23831, 543, 5313, 10211, 18715, 616, 513, 1804, 543, 3395, 1797, 540, 5870, 6859, 540, 5313, 3292, 1701, 2871, 5875, 3975, 12029, 14222, 616, 4397, 547, 2698, 1269, 4968, 5479, 676, 519, 1439, 540, 476, 3192, 280, 563, 763, 7245, 4566, 547, 15974, 2081, 547, 2744, 1732, 1852, 936, 922, 5491, 3292, 269, 898, 1767, 972, 1631, 568, 834, 7224, 9836, 7271, 538, 519, 2229, 585, 5781, 17265, 5313, 5491, 2534, 4799, 763, 8060, 519, 7245, 26770, 547, 15974, 786, 1331, 5993, 2781, 559, 902, 593, 12029, 543, 10211, 18715, 563, 289, 6563, 532, 676, 519, 27308, 547, 1489, 1554, 3562, 6377, 5313, 4238, 607, 1134, 607, 24228, 676, 519, 1055, 1532, 644, 1326, 5313, 8041, 910, 799, 786, 2698, 1269, 10463, 5479, 1985, 1032, 910, 616, 1641, 547, 513, 18322, 1308, 7963, 3970, 563, 8448, 10210, 902, 267, 676, 519, 2229, 17898, 29107, 10827, 2456, 267, 585, 1383, 267, 616, 711, 563, 4263, 519, 1439, 540, 476, 3192, 280, 267, 519, 2698, 2179, 540, 7963, 14222, 1641, 547, 519, 7963, 3970, 786, 581, 1269, 277, 3445, 269, 279, 5479, 269, 634, 1719, 593, 519, 5313, 7963, 568, 4397, 547, 581, 1269, 5392, 5479, 1985, 1032, 267, 610, 5176, 476, 1015, 829, 1298, 540, 519, 5518, 781, 1269, 4335, 5479, 6578, 269, 0, 3528, 12049, 20143, 700, 269, 29385, 267, 307, 516, 341, 528, 670, 269, 2274, 3164, 454, 5804, 519, 2053, 540, 519, 620, 17057, 1235, 2429, 519, 4070, 540, 519, 6752, 762, 8047, 267, 7998, 814, 1044, 13890, 676, 1259, 540, 922, 2645, 543, 8097, 10124, 269, 16024, 2103, 267, 1256, 952, 267, 723, 22157, 547, 3077, 519, 1184, 3114, 17748, 3079, 540, 693, 519, 7405, 543, 6901, 602, 22755, 519, 25127, 269, 901, 7274, 16716, 3114, 2645, 543, 6901, 883, 519, 32215, 540, 8978, 32252, 3512, 267, 1759, 593, 519, 8561, 593, 1685, 602, 1915, 3278, 1459, 10367, 593, 1114, 4610, 540, 2029, 543, 4702, 269, 634, 3119, 1641, 6927, 616, 281, 23396, 543, 3666, 267, 8856, 267, 519, 1646, 543, 7004, 540, 3937, 267, 519, 23425, 540, 2645, 267, 543, 519, 28043, 540, 10459, 3842, 7405, 7868, 3594, 616, 5258, 883, 476, 274, 26567, 6810, 281, 634, 1685, 540, 1325, 17057, 344, 630, 516, 1613, 532, 519, 5958, 543, 12835, 4919, 6169, 538, 1840, 547, 519, 2854, 24920, 543, 519, 7411, 540, 10063, 322, 2225, 540, 620, 23755, 6901, 1070, 3245, 670, 2297, 547, 519, 11906, 7169, 630, 29171, 1380, 532, 2101, 476, 1704, 628, 268, 543, 22733, 10601, 4555, 538, 1840, 547, 4130, 2093, 602, 15921, 592, 8271, 12675, 519, 8011, 538, 543, 811, 5078, 519, 3044, 540, 3114, 17634, 1070, 543, 634, 476, 866, 628, 543, 7216, 476, 736, 628, 2578, 3753, 630, 29171, 1380, 532, 519, 811, 543, 811, 1360, 1271, 1599, 540, 3056, 6316, 10591, 607, 7998, 8057, 883, 519, 476, 272, 560, 1804, 8397, 17953, 344, 4791, 9015, 1040, 6944, 1026, 12781, 2433, 681, 269, 717, 269, 654, 269, 18722, 267, 12672, 611, 8291, 645, 839, 7596, 324, 13305, 514, 1417, 267, 24381, 823, 595, 4592, 1633, 267, 3967, 30110, 1231, 7288, 267, 12049, 20143, 700, 269, 29385, 267, 7066, 341, 528, 670, 269, 2274, 3164, 267, 1530, 2096, 712, 670, 269, 8575, 23677, 641, 325, 267, 5261, 681, 269, 1715, 2006, 267, 6307, 11835, 715, 6614, 267, 18039, 631, 269, 11010, 10360, 267, 21142, 808, 269, 18842, 651, 267, 2051, 514, 589, 269, 21651, 267, 5261, 589, 269, 590, 1889, 26293, 267, 9253, 341, 2106, 2974, 1088, 2006, 563, 5649, 6732, 610, 8281, 29698, 543, 15331, 566, 538, 519, 3778, 540, 11061, 630, 291, 756, 1676, 4659, 5525, 538, 519, 3778, 540, 3163, 543, 5303, 264, 7300, 454, 16032, 7998, 4704, 2835, 454, 3383, 559, 11906, 2645, 1107, 3851, 14901, 6257, 936, 1079, 4627, 8047, 543, 4216, 3114, 10526, 2953, 547, 3851, 14901, 543, 2250, 269, 519, 1702, 543, 1505, 13859, 2429, 476, 736, 11271, 568, 8737, 267, 9836, 267, 19918, 27573, 267, 8242, 543, 2966, 547, 14441, 3114, 10155, 1608, 9200, 269, 972, 781, 4388, 693, 519, 5542, 543, 10332, 1145, 540, 10763, 3937, 689, 3037, 10386, 3842, 547, 519, 8989, 540, 2360, 563, 24375, 26038, 6280, 17099, 519, 10464, 1797, 269, 513, 1732, 8905, 547, 513, 1153, 2268, 910, 1205, 2458, 720, 5491, 609, 1100, 519, 5712, 269, 595, 4041, 303, 595, 4047, 300, 8780, 23802, 17780, 593, 2221, 779, 2463, 762, 595, 4041, 303, 981, 6701, 596, 4712, 547, 14133, 693, 519, 595, 4041, 303, 286, 2608, 6875, 519, 476, 272, 560, 1685, 2119, 547, 1265, 1018, 596, 5431, 543, 1018, 596, 991, 547, 581, 3222, 540, 265, 4383, 513, 11684, 4983, 16786, 3842, 1739, 938, 4674, 1652, 15415, 265, 2422, 11555, 288, 781, 16252, 547, 5423, 707, 1582, 585, 2953, 1382, 543, 1967, 19138, 1018, 596, 1590, 5431, 547, 979, 519, 6514, 265, 634, 1433, 781, 593, 2389, 13759, 1888, 6268, 12374, 22059, 540, 782, 4798, 693, 519, 8076, 595, 4041, 303, 6514, 267, 1927, 609, 11156, 540, 1641, 282, 2276, 540, 1888, 282, 3210, 3029, 282, 12307, 543, 853, 334, 24734, 5852, 282, 4982, 10329, 282, 918, 27282, 282, 26457, 19392, 282, 29149, 11061, 282, 21885, 11061, 265, 695, 4319, 323, 704, 2006, 550, 543, 16990, 5049, 27162, 1156, 17709, 15421, 265, 6206, 18862, 2333, 1880, 1983, 4941, 693, 519, 2119, 856, 265, 11280, 24200, 6318, 8223, 543, 5351, 6582, 1353, 12648, 1685, 11400, 265, 8073, 519, 14282, 2680, 547, 1449, 6377, 23616, 2827, 609, 476, 273, 2407, 27480, 1685, 10526, 265, 15873, 707, 1646, 609, 2347, 543, 6098, 3123, 540, 782, 3435, 265, 4434, 707, 1582, 22059, 609, 1449, 23824, 2035, 543, 9952, 5796, 3918, 288, 568, 519, 1767, 8783, 538, 595, 4041, 303, 26821, 267, 609, 519, 1292, 5458, 5399, 540, 595, 4041, 303, 10643, 543, 3301, 1982, 593, 1688, 563, 257, 27319, 2717, 2096, 619, 257, 522, 1457, 1579, 3164, 7698, 1329, 530, 18543, 654, 1170, 839, 577, 10762, 2401, 646, 1393, 1303, 19213, 601, 333, 267, 546, 269, 554, 269, 654, 17064, 560, 4752, 324, 267, 5884, 1775, 327, 516, 661, 580, 839, 577, 2378, 1084, 13276, 321, 560, 339, 520, 580, 606, 5884, 649, 577, 1088, 526, 523, 14193, 286, 552, 1066, 772, 332, 342, 601, 12888, 4148, 1380, 523, 606, 10139, 523, 269, 24729, 548, 8210, 22772, 684, 2102, 267, 530, 773, 2983, 321, 7596, 324, 3768, 25362, 1188, 523, 267, 5884, 521, 747, 530, 1695, 16781, 552, 1149, 661, 6113, 2041, 321, 839, 13276, 321, 560, 339, 520, 580, 2357, 560, 1046, 523, 3768, 1303, 1056, 2940, 20322, 572, 19804, 613, 9150, 530, 1221, 518, 2613, 577, 12340, 888, 302, 6113, 2435, 2645, 540, 2564, 11061, 267, 7274, 2947, 3091, 513, 2647, 5542, 540, 2553, 547, 10763, 1949, 538, 3621, 7998, 269, 901, 476, 2190, 7302, 1986, 7274, 11828, 519, 3652, 267, 556, 698, 757, 267, 4640, 267, 543, 23363, 540, 1028, 9285, 2564, 7998, 3937, 269, 519, 476, 272, 560, 476, 274, 11271, 12404, 519, 3693, 531, 10873, 538, 3621, 7998, 20682, 267, 1927, 609, 25819, 543, 909, 18141, 540, 15013, 267, 9073, 2200, 3375, 267, 543, 519, 12747, 3114, 1382, 563, 268, 3220, 269, 15608, 543, 1548, 1411, 9894, 333, 1405, 5700, 454, 268, 6820, 12713, 613, 12950, 7261, 3380, 538, 519, 8693, 3590, 454, 268, 1323, 11633, 17323, 540, 23081, 12578, 630, 31142, 1977, 5525, 281, 4317, 7070, 1299, 4521, 994, 268, 2274, 15590, 321, 1276, 2274, 321, 839, 18283, 601, 17057, 773, 3768, 21321, 7564, 15590, 2426, 630, 23389, 9990, 994, 21206, 2200, 585, 29698, 543, 15331, 566, 538, 519, 3778, 540, 11061, 630, 291, 756, 1676, 4659, 5525, 538, 519, 3778, 540, 3163, 543, 5303, 994, 9743, 745, 906, 543, 15331, 566, 538, 519, 3778, 540, 11061, 630, 291, 756, 1676, 4659, 5525, 538, 519, 3778, 540, 3163, 543, 5303, 264, 676, 12049, 20143, 700, 269, 29385, 267, 307, 516, 341, 528, 670, 269, 2274, 3164, 0, 11795, 2397, 1063, 6024, 7510, 26299, 3974, 2030, 543, 16801, 7510, 26299, 3974, 2030, 454, 1432, 616, 519, 3604, 1063, 26740, 543, 6024, 3457, 286, 901, 2376, 5631, 26564, 519, 10486, 543, 2483, 16676, 6681, 543, 16801, 1826, 7510, 26299, 3974, 2030, 454, 763, 1482, 2798, 616, 5631, 10630, 538, 519, 1739, 3344, 912, 13828, 6024, 543, 16801, 7510, 26299, 3974, 2030, 3803, 2472, 454, 272, 269, 634, 2324, 6240, 540, 519, 1079, 16491, 906, 568, 519, 1482, 269, 2353, 540, 873, 946, 1164, 27529, 25305, 3114, 6547, 269, 3414, 519, 8022, 540, 519, 19720, 267, 519, 3653, 15229, 11320, 4292, 18646, 616, 16271, 547, 7510, 26299, 3974, 3114, 6547, 563, 273, 269, 634, 5106, 540, 1079, 3457, 666, 5555, 1205, 4492, 267, 3327, 3109, 267, 5374, 5911, 267, 12318, 1043, 3154, 563, 763, 3604, 616, 5631, 10630, 538, 519, 1739, 3344, 912, 11328, 18283, 550, 3937, 281, 2991, 4393, 513, 16801, 540, 2326, 267, 621, 568, 2556, 547, 23249, 585, 513, 1974, 540, 942, 1354, 519, 2034, 1570, 2126, 568, 5340, 269, 2991, 519, 19720, 568, 22799, 547, 513, 1978, 2837, 267, 519, 1985, 16801, 540, 2326, 568, 9268, 563, 16676, 6681, 3937, 281, 898, 666, 960, 11179, 585, 476, 2190, 3108, 267, 6024, 8023, 593, 835, 2427, 267, 6024, 1793, 698, 11166, 593, 519, 824, 2427, 267, 1510, 23249, 9023, 538, 519, 1647, 563, 11328, 18283, 550, 3937, 281, 10671, 2231, 476, 274, 268, 275, 1004, 547, 2226, 519, 3339, 5106, 540, 519, 3937, 563, 16676, 6681, 3937, 281, 623, 9448, 1852, 1062, 267, 1164, 4110, 540, 12957, 267, 9494, 812, 12741, 563, 2690, 6024, 3937, 267, 6151, 2326, 991, 547, 581, 7745, 538, 4434, 267, 543, 1287, 3049, 998, 519, 17684, 3926, 563, 11328, 18283, 550, 3937, 281, 1530, 4705, 1793, 698, 11166, 9055, 11895, 547, 2327, 602, 519, 26809, 3327, 3109, 1281, 711, 8038, 1472, 543, 3542, 1393, 519, 2011, 563, 16676, 8462, 3937, 281, 12539, 3109, 568, 8850, 26809, 538, 513, 20177, 1604, 998, 513, 17684, 23740, 563, 10712, 5803, 8851, 1505, 912, 11328, 18283, 550, 3937, 281, 1614, 2000, 9707, 1164, 25774, 10936, 1100, 26072, 616, 1031, 547, 4894, 1507, 4396, 5536, 689, 519, 8673, 269, 2107, 946, 513, 13942, 4142, 755, 532, 3926, 950, 519, 2179, 540, 8673, 568, 1804, 563, 16676, 8462, 3937, 281, 898, 568, 9280, 609, 964, 5285, 584, 1436, 543, 3954, 527, 30826, 3937, 267, 543, 519, 1166, 826, 3154, 568, 29881, 543, 13381, 269, 2368, 540, 519, 3905, 8673, 602, 3112, 581, 16626, 568, 13381, 883, 519, 19720, 8022, 19460, 585, 519, 3483, 540, 5885, 519, 3002, 563, 13828, 3457, 723, 741, 1378, 5383, 269, 634, 1292, 3483, 568, 547, 1450, 596, 547, 723, 513, 4514, 1620, 540, 519, 1079, 3457, 998, 713, 2376, 267, 865, 607, 547, 3442, 519, 1318, 835, 2687, 547, 707, 1378, 2115, 543, 519, 3854, 6578, 8206, 2336, 32306, 513, 5048, 0, 1692, 547, 2328, 513, 13354, 1557, 1614, 2694, 281, 3384, 519, 1557, 1543, 12180, 519, 1543, 1603, 519, 1557, 2146, 7117, 261, 320, 5310, 596, 723, 1044, 8655, 513, 13354, 1557, 538, 1362, 267, 610, 991, 547, 2328, 513, 3102, 13354, 1867, 585, 960, 269, 5675, 513, 5635, 543, 4334, 1557, 281, 1018, 779, 621, 782, 827, 596, 786, 2760, 1174, 875, 547, 2328, 513, 13354, 1557, 1510, 10747, 713, 4081, 1957, 5265, 1142, 1826, 540, 1557, 814, 922, 1378, 3853, 543, 3584, 269, 6201, 543, 5796, 596, 1522, 5635, 519, 1079, 1483, 1235, 630, 528, 519, 1079, 2366, 14939, 1235, 264, 945, 1491, 519, 12406, 585, 6476, 9027, 919, 519, 13354, 2470, 540, 707, 5098, 607, 538, 1022, 12819, 1957, 267, 707, 5098, 3948, 786, 6655, 519, 575, 626, 540, 707, 4661, 267, 799, 8209, 543, 536, 538, 519, 1560, 540, 707, 1557, 952, 596, 1616, 707, 1957, 269, 634, 4334, 543, 6476, 1063, 519, 3504, 575, 872, 802, 543, 6535, 753, 2749, 2829, 585, 1383, 267, 519, 10652, 641, 517, 5886, 1014, 2112, 630, 32542, 25900, 349, 476, 29024, 25900, 264, 568, 513, 2112, 1063, 838, 21840, 543, 693, 2380, 2059, 609, 741, 16167, 269, 1280, 1383, 267, 513, 13354, 1557, 1210, 519, 3625, 1505, 593, 519, 18008, 543, 678, 11701, 26201, 1131, 2232, 519, 18008, 4838, 538, 519, 1101, 3368, 540, 519, 1557, 543, 519, 678, 11701 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 12100, 528, 6509, 267, 585, 4986, 892, 630, 2004, 279, 1916, 10527, 3791, 851, 540, 519, 1433, 6770, 1927, 513, 1297, 540, 3594, 593, 13513, 269, 2986, 891, 267, 519, 13074, 543, 519, 1034, 1271, 568, 606, 1557, 593, 519, 8129, 540, 1893, 269, 1403, 8738, 651, 3576, 519, 20726, 689, 19161, 5459, 267, 646, 1336, 519, 1646, 538, 5128, 892, 630, 2004, 279, 1916, 2108, 305, 15929, 856, 519, 9066, 609, 9382, 540, 1978, 15102, 538, 4119, 639, 527, 928, 267, 645, 1601, 340, 564, 267, 543, 23006, 267, 646, 6770, 519, 2898, 11407, 547, 513, 3932, 799, 1131, 581, 1572, 15112, 11244, 952, 17636, 941, 8738, 651, 779, 1843, 269, 1809, 519, 1843, 568, 21481, 267, 31658, 267, 1434, 786, 281, 711, 513, 1747, 538, 799, 547, 16173, 547, 1964, 267, 855, 513, 2783, 540, 5021, 9637, 892, 630, 2004, 279, 1916, 763, 7291, 729, 6192, 676, 1614, 10927, 1053, 693, 519, 2160, 540, 16506, 281, 661, 28609, 548, 24380, 17632, 267, 3807, 514, 23703, 1014, 267, 543, 1530, 534, 700, 1513, 517, 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 ]

[ 0, 5814, 11885, 607, 5286, 1477, 288, 815, 5286, 30784, 1052, 263, 1321, 1040, 31412, 263, 274, 267, 275, 3418, 2745, 10490, 3418, 2745, 18828, 21858, 10490, 2073, 476, 274, 2073, 7852, 815, 476, 271, 4297, 11434, 1948, 476, 28578, 12571, 495, 26166, 31176, 366, 1477, 2745, 18828, 21858, 10490, 2073, 476, 273, 2073, 7852, 815, 476, 272, 4297, 11434, 1948, 476, 27310, 12571, 495, 26166, 31176, 366, 1477, 2745, 18828, 15126, 5334, 5902, 10490, 2073, 476, 274, 2073, 7852, 815, 476, 272, 4297, 1948, 476, 21251, 419, 511, 487, 26166, 31176, 366, 1477, 2745, 18828, 18192, 20889, 10490, 2073, 476, 274, 4297, 4449, 1948, 476, 28578, 12571, 495, 26166, 31176, 366, 1477, 2745, 18828, 19544, 20889, 10490, 2073, 476, 273, 25011, 271, 8079, 23526, 1948, 476, 27310, 12571, 495, 26166, 31176, 366, 5897, 0, 5228, 19523, 1104, 588, 19734, 692, 3698, 1449, 18045, 6357, 2135, 16182, 2187, 825, 5595, 815, 476, 271, 454, 825, 17784, 815, 476, 271, 22562, 825, 5022, 815, 1592, 6357, 2135, 16182, 994, 825, 10288, 815, 15044, 263, 24393, 2020, 825, 12523, 815, 9598, 10797, 825, 585, 4484, 538, 5022, 912, 1038, 952, 4484, 538, 12523, 912, 2018, 12523, 314, 12072, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 12523, 314, 12072, 316, 815, 476, 272, 692, 825, 9103, 1023, 815, 12523, 269, 11161, 10797, 825, 952, 476, 273, 538, 9103, 1023, 912, 1038, 5595, 815, 476, 272, 454, 825, 952, 476, 274, 538, 9103, 1023, 912, 1038, 17784, 815, 476, 272, 692, 825, 2132, 5595, 267, 17784, 692, 20135, 5091, 537, 7632, 815, 476, 271, 454, 20135, 4671, 686, 1255, 815, 476, 271, 22562, 1721, 4737, 538, 588, 19734, 18667, 6050, 10031, 825, 29156, 267, 2468, 1255, 815, 1449, 18045, 21405, 14714, 8692, 31156, 825, 2698, 5091, 537, 7632, 6834, 29156, 454, 825, 2698, 4671, 686, 1255, 6834, 2468, 1255, 692, 2745, 6025, 4973, 5091, 537, 7632, 265, 20135, 4671, 686, 1255, 9239, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 5814, 533, 2096, 784, 334, 692, 258, 3553, 1575, 24563, 4276, 543, 1212, 320, 23176, 513, 4015, 1572, 5561, 454, 3240, 743, 1304, 815, 533, 2096, 784, 334, 8160, 784, 334, 5141, 1304, 2891, 332, 784, 617, 321, 2517, 29985, 10676, 281, 17734, 1704, 270, 5602, 3240, 27219, 815, 1250, 743, 1304, 14277, 3240, 323, 520, 15390, 31116, 3240, 3712, 815, 1250, 27219, 14277, 322, 2396, 619, 257, 6540, 258, 12133, 513, 2582, 3561, 883, 519, 24563, 454, 3240, 18743, 815, 2715, 834, 4067, 9899, 834, 11990, 2580, 834, 5417, 816, 9899, 834, 11947, 3118, 476, 4391, 257, 7684, 454, 343, 815, 1250, 3712, 27044, 318, 821, 30044, 18743, 2020, 2745, 3287, 27044, 539, 16182, 2020, 258, 12133, 2789, 6054, 883, 519, 6538, 454, 332, 2643, 626, 815, 1496, 454, 476, 2715, 834, 4067, 9899, 834, 288, 3240, 2580, 834, 5417, 816, 9899, 834, 7343, 548, 588, 476, 4792, 273, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 295, 20087, 2580, 834, 5417, 816, 9899, 834, 300, 20667, 476, 2641, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 28061, 2580, 834, 5417, 816, 9899, 834, 11749, 2917, 476, 24833, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 306, 22929, 2580, 834, 5417, 816, 9899, 834, 302, 4117, 1025, 341, 323, 476, 273, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 289, 564, 1399, 2580, 834, 5417, 816, 9899, 834, 16675, 23420, 476, 272, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 32178, 2580, 834, 5417, 816, 9899, 834, 306, 5652, 588, 476, 28664, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 306, 639, 534, 2580, 834, 5417, 816, 9899, 834, 3080, 1259, 476, 7176, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 309, 1157, 344, 2580, 834, 5417, 816, 9899, 834, 312, 3641, 12567, 476, 273, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 13051, 2580, 834, 5417, 816, 9899, 834, 303, 1046, 28818, 476, 4343, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 19365, 2580, 834, 5417, 816, 9899, 834, 23338, 588, 476, 4817, 275, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 2419, 3089, 2580, 834, 5417, 816, 9899, 834, 14611, 10003, 476, 7176, 280, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 309, 2723, 320, 2580, 834, 5417, 816, 9899, 834, 306, 728, 3118, 476, 14321, 274, 257, 348, 2676, 476, 2715, 834, 4067, 9899, 834, 7692, 2580, 834, 5417, 816, 9899, 22373, 302, 752, 717, 17311, 853, 14824, 1321, 628, 22971, 19312, 8679, 6540, 343, 815, 1250, 3712, 27044, 8548, 1415, 9852, 2643, 626, 2020, 28744, 3003, 4015, 454, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 2745, 3003, 4015, 5602, 1721, 1535, 538, 1250, 3712, 26098, 10031, 825, 1820, 3287, 2020, 258, 14142, 519, 4015, 454, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1410, 6984, 1843, 7329, 689, 938, 3406, 5602, 1721, 1535, 538, 1250, 3712, 26098, 20719, 9574, 2715, 834, 318, 573, 9899, 476, 271, 267, 834, 4067, 9899, 476, 272, 267, 834, 5417, 816, 9899, 272, 7684, 2187, 825, 1820, 3287, 2020, 258, 14142, 585, 513, 2582, 7127, 538, 4015, 454, 3240, 638, 2044, 815, 2715, 834, 4067, 9899, 834, 2419, 3089, 257, 7684, 454, 3240, 25269, 815, 1250, 3712, 26098, 30044, 638, 2044, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 14142, 532, 585, 519, 2012, 1412, 2419, 3089, 262, 5602, 1721, 1535, 538, 1250, 25269, 912, 825, 1820, 3287, 2020, 258, 22056, 513, 13214, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 2715, 834, 259, 25885, 9899, 834, 306, 257, 7684, 7684, 454, 3240, 25269, 815, 1250, 3712, 26098, 30044, 638, 2044, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 14142, 532, 585, 782, 2232, 13366, 3152, 982, 1412, 306, 262, 5602, 1721, 1535, 538, 1250, 25269, 912, 825, 1820, 3287, 2020, 258, 1372, 8541, 513, 3561, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 834, 300, 20667, 476, 2641, 257, 7684, 454, 3240, 3712, 19709, 8541, 318, 821, 30044, 638, 2044, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1372, 548, 1154, 1412, 300, 20667, 476, 2641, 262, 15419, 258, 26303, 513, 3561, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 834, 11749, 2917, 476, 24833, 257, 7684, 454, 2908, 11161, 815, 2715, 834, 259, 3553, 9899, 2715, 834, 5417, 816, 257, 2433, 834, 290, 23368, 476, 11277, 257, 7684, 7684, 454, 3240, 3712, 269, 26303, 318, 821, 30044, 638, 2044, 267, 1007, 11161, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1575, 323, 908, 519, 1871, 1412, 11749, 2917, 476, 24833, 262, 585, 1412, 290, 23368, 476, 11277, 262, 8442, 3097, 1721, 1535, 538, 1250, 3712, 26098, 263, 2567, 825, 454, 825, 1820, 3287, 2020, 258, 26303, 2789, 6054, 454, 3240, 638, 2044, 815, 2715, 834, 5417, 816, 9899, 2715, 834, 259, 516, 613, 343, 9899, 834, 317, 306, 257, 7684, 7684, 454, 2908, 11161, 815, 2715, 834, 259, 3553, 9899, 2715, 834, 4067, 9899, 834, 300, 4883, 773, 257, 7684, 7684, 454, 343, 815, 1250, 3712, 269, 26303, 8548, 1415, 30044, 638, 2044, 267, 1007, 11161, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 1575, 323, 908, 782, 6054, 609, 2232, 3152, 982, 1412, 306, 262, 609, 519, 2012, 1412, 300, 4883, 773, 262, 5602, 2745, 3287, 6230, 617, 1881, 18045, 267, 834, 25269, 3701, 8242, 23528, 1721, 1535, 538, 1250, 3712, 26098, 10031, 825, 1820, 3287, 9239, 258, 547, 13214, 676, 1843, 7329, 267, 596, 1590, 1104, 519, 536, 5459, 269, 15953, 573, 454, 258, 5228, 536, 5459, 269, 15953, 573, 1104, 8629, 27306, 454, 258, 3240, 638, 2044, 815, 27835, 318, 573, 9166, 8629, 27306, 3488, 276, 324, 279, 321, 278, 7830, 6795, 324, 278, 320, 2568, 278, 31430, 280, 322, 21709, 279, 10807, 10926, 258, 5417, 3688, 547, 1592, 454, 3240, 638, 2044, 815, 2715, 257, 4067, 9899, 834, 7692, 257, 8679, 2908, 11161, 815, 2715, 834, 259, 335, 2313, 9899, 2715, 834, 5417, 816, 9899, 834, 28242, 273, 670, 3518, 1245, 339, 589, 557, 257, 31998, 454, 3240, 3712, 269, 26303, 318, 821, 30044, 638, 2044, 267, 1007, 11161, 994, 2745, 2891, 268, 257, 265, 1839, 994, 2745, 2891, 32061, 513, 1871, 547, 606, 5044, 1369, 513, 3561, 5602, 1721, 1535, 538, 1250, 3712, 26098, 10031, 825, 1820, 3287, 2020, 258, 1372, 8541, 606, 3003, 4015, 454, 258, 3240, 3712, 6155, 1886, 30800, 0, 5228, 1187, 551, 8962, 1104, 2569, 7531, 5976, 1930, 18011, 1485, 273, 17902, 10807, 607, 535, 335, 912, 825, 4640, 318, 7666, 728, 815, 1496, 14654, 921, 3287, 14714, 8692, 28361, 333, 262, 1040, 20889, 3488, 1412, 4297, 585, 1535, 538, 535, 335, 18667, 6050, 3890, 6540, 17092, 16800, 318, 311, 815, 476, 272, 454, 17092, 16800, 318, 312, 815, 476, 273, 454, 17092, 16800, 318, 313, 815, 476, 274, 692, 310, 2562, 815, 476, 277, 454, 299, 5308, 306, 815, 476, 271, 454, 291, 6938, 310, 815, 476, 274, 692, 258, 589, 815, 2473, 815, 476, 272, 815, 9412, 454, 258, 645, 815, 962, 815, 476, 273, 815, 7433, 454, 258, 595, 815, 2098, 815, 476, 274, 815, 2480, 19538, 454, 3698, 5173, 23962, 9272, 281, 24042, 314, 1598, 267, 1193, 8079, 9847, 703, 912, 825, 6474, 3403, 912, 1038, 2013, 18011, 288, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 667, 6938, 310, 1948, 8571, 454, 1038, 2013, 18011, 288, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 654, 2562, 476, 1948, 12736, 454, 1038, 2013, 18011, 288, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 700, 5308, 306, 1948, 13809, 692, 1038, 2013, 18011, 289, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 700, 5308, 306, 1948, 13809, 454, 1038, 2013, 18011, 289, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 667, 6938, 310, 1948, 8571, 454, 1038, 2013, 18011, 289, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 654, 2562, 476, 1948, 12736, 692, 1038, 2013, 18011, 290, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 654, 2562, 476, 1948, 12736, 454, 1038, 2013, 18011, 290, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 700, 5308, 306, 1948, 13809, 454, 1038, 2013, 18011, 290, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 667, 6938, 310, 1948, 8571, 692, 258, 3487, 476, 272, 2040, 8464, 454, 2745, 263, 516, 706, 576, 10857, 10033, 3105, 267, 1699, 281, 3105, 1341, 5173, 23962, 263, 9690, 1070, 4640, 318, 7666, 728, 267, 476, 271, 11723, 258, 2473, 815, 1284, 991, 547, 10690, 454, 258, 962, 815, 1284, 991, 547, 2721, 454, 258, 2098, 815, 1284, 991, 547, 3094, 454, 3698, 5173, 23962, 318, 4820, 318, 273, 9272, 281, 24042, 314, 1598, 267, 1193, 8079, 9847, 703, 912, 825, 6474, 3403, 912, 1038, 2013, 18011, 288, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 700, 5308, 306, 1948, 1284, 991, 547, 10690, 630, 313, 994, 1038, 2013, 18011, 288, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 667, 6938, 310, 1948, 1284, 991, 547, 2721, 630, 311, 994, 1038, 2013, 18011, 288, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 654, 2562, 476, 1948, 1284, 991, 547, 3094, 630, 312, 2020, 1038, 2013, 18011, 289, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 700, 5308, 306, 1948, 1284, 991, 547, 10690, 630, 311, 994, 1038, 2013, 18011, 289, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 667, 6938, 310, 1948, 1284, 991, 547, 2721, 630, 312, 994, 1038, 2013, 18011, 289, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 654, 2562, 1948, 1284, 991, 547, 3094, 630, 313, 2020, 1038, 2013, 18011, 290, 3299, 1412, 311, 262, 2567, 2132, 14662, 16800, 318, 312, 1341, 700, 5308, 306, 1948, 1284, 991, 547, 10690, 630, 312, 994, 1038, 2013, 18011, 290, 3299, 1412, 312, 262, 2567, 2132, 14662, 16800, 318, 313, 1341, 667, 6938, 310, 1948, 1284, 991, 547, 2721, 630, 313, 994, 1038, 2013, 18011, 290, 3299, 1412, 313, 262, 2567, 2132, 14662, 16800, 318, 311, 1341, 654, 2562, 1948, 1284, 991, 547, 3094, 630, 311, 2020, 258, 3487, 476, 273, 2040, 8464, 454, 2745, 263, 516 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12441, 596, 2479, 1265, 513, 11640, 538, 16095, 543, 4898, 1018, 3662, 1500, 621, 286, 1403, 2451, 2150, 31189, 585, 5215, 540, 1296, 267, 621, 1131, 454, 10743, 1397, 741, 1702, 540, 18173, 14169, 11652, 1899, 15340, 256, 31493, 696, 513, 10036, 18173, 602, 568, 17866, 267, 4190, 454, 8245, 3634, 519, 26789, 21805, 543, 1374, 5326, 5321, 585, 14070, 5449, 10437, 563, 19138, 519, 1950, 267, 12166, 15022, 3512, 566, 540, 9099, 1148, 269, 13028, 6946, 267, 8076, 2098, 650, 6359, 6272, 1210, 2979, 543, 513, 454, 10743, 2263, 519, 1568, 540, 2605, 5866, 918, 1695, 5979, 779, 1582, 268, 1636, 20137, 543, 519, 4764, 4104, 2831, 538, 1200, 10367, 563, 5331, 952, 22645, 1223, 8038, 256, 5753, 3262, 741, 3860, 12209, 607, 789, 1374, 7874, 1957, 22645, 543, 2328, 827, 454, 1432, 1281, 621, 1611, 547, 581, 513, 1434, 3659, 286, 15858, 17052, 19806, 558, 609, 713, 2295, 11015, 563, 30696, 593, 11505, 676, 1603, 543, 13465, 8964, 267, 6158, 827, 11505, 1983, 267, 543, 2870, 1257, 3293, 1148, 2592, 705, 537, 454, 15703, 772, 2529, 269, 27504, 941, 4535, 538, 610, 5030, 538, 2845, 5321, 267, 1519, 14062, 12493, 269, 5269, 513, 18187, 320, 540, 835, 610, 741, 11876, 454, 18439, 21175, 543, 7556, 5389, 1287, 1711, 13556, 1957, 24463, 8970, 1075, 641, 5362, 563, 295, 584, 2001, 585, 7504, 12741, 256, 5269, 513, 15415, 547, 1397, 875, 5755, 267, 3282, 267, 2831, 267, 543, 1082, 824, 1648, 2959, 5512, 1004, 543, 642, 454, 10454, 8575, 652, 549, 1773, 904, 257, 676, 19626, 10127, 2617, 20391, 543, 32157, 7101, 12584, 5652, 568, 519, 6667, 585, 1053, 547, 1711, 741, 1378, 4605, 454, 10932, 543, 1711, 19297, 827, 31595, 779, 8906, 538, 2257, 543, 6323, 563, 8196, 1148, 547, 1451, 827, 519, 6406, 7126, 16527, 543, 519, 717, 2465, 781, 645, 754, 7991, 563, 24058, 1125, 513, 3460, 602, 16621, 1100, 2029, 824, 982, 835, 779, 1378, 3952, 269, 4841, 556, 21553, 2602, 519, 8574, 540, 3345, 454, 8620, 513, 476, 1321, 21758, 267, 476, 274, 291, 8608, 547, 4159, 1382, 1344, 827, 1272, 593, 835, 540, 3618, 781, 17407, 563, 10743, 2263, 4436, 1686, 689, 519, 5664, 12698, 547, 2413, 2053, 269, 5530, 4436, 28151, 267, 971, 607, 3026, 20415, 9774, 7322, 10011, 331, 454, 763, 12557, 540, 519, 9194, 540, 5017, 568, 6417, 676, 519, 2242, 538, 519, 1554, 779, 3259, 269, 25397, 513, 1808, 6177, 689, 922, 530, 328, 454, 2026, 606, 6679, 2534, 547, 519, 1153, 1032, 267, 1205, 547, 917, 707, 1053, 262, 2702, 547, 1246, 8846, 609, 713, 13513, 513, 454, 288, 3630, 5069, 12493, 781, 5192, 339, 903, 7921, 17372, 4991, 513, 2413, 1118, 1478, 563, 30395, 513, 30018, 717, 5424, 30103, 5600, 609, 595, 2001, 7637, 10378, 7844, 18903, 10378, 269, 15526, 666, 948, 30164, 2914, 603, 719, 513, 10051, 2336, 27650, 3446, 1053, 786, 2648, 2870, 891, 10477, 4070, 1957, 20909, 30103, 1004, 1310, 2542, 7648, 454, 10743, 1921, 609, 741, 15032, 1247, 18071, 11348, 538, 707, 4763, 2336, 8340, 856, 875, 14696, 5129, 513, 1909, 538, 8978, 21175, 16873, 269, 4841, 1118, 741, 1378, 1747, 3901, 609, 1277, 334, 0, 21809, 826, 540, 31001, 1530, 16223, 5471, 4867, 538, 519, 28912, 7467, 269, 910, 10323, 298, 295, 300, 4953, 267, 26131, 1014, 15831, 267, 6719, 609, 519, 2212, 540, 513, 17794, 612, 543, 513, 4807, 781, 1560, 543, 593, 1200, 2212, 513, 3141, 12210, 267, 519, 2212, 540, 17794, 568, 513, 3090, 540, 4222, 543, 1379, 547, 6861, 14763, 563, 289, 770, 281, 513, 17794, 612, 15831, 540, 519, 3141, 2429, 1034, 540, 9147, 12266, 1686, 267, 855, 2663, 1352, 729, 4957, 883, 519, 3032, 15831, 268, 645, 770, 564, 269, 2701, 849, 729, 4957, 547, 513, 15831, 540, 519, 7599, 676, 16380, 30939, 9147, 5527, 4724, 519, 1439, 540, 922, 10340, 563, 292, 5118, 324, 281, 1912, 4673, 517, 3620, 558, 1889, 2073, 887, 328, 2073, 23135, 340, 910, 2750, 6570, 632, 4406, 523, 857, 15086, 476, 1220, 278, 318, 1220, 279, 454, 300, 879, 910, 3117, 30872, 547, 581, 10723, 538, 3504, 12266, 2486, 267, 891, 535, 3894, 941, 26916, 585, 741, 2702, 547, 6146, 15315, 543, 2357, 2381, 267, 543, 941, 3976, 3006, 544, 17026, 1881, 1310, 2669, 269, 1358, 941, 15151, 5156, 547, 2099, 519, 15831, 645, 770, 593, 3047, 267, 543, 865, 454, 293, 656, 2880, 3068, 6196, 652, 19612, 5020, 20695, 6465, 826, 2986, 9147, 5527, 4534, 14514, 4534, 19092, 267, 1234, 793, 540, 14871, 330, 2378, 4534, 2961, 1386, 861, 31748, 648, 3574, 4534, 5494, 2642, 693, 590, 752, 330, 4673, 538, 519, 19772, 540, 18087, 268, 1653, 4534, 12266, 7467, 267, 595, 23879, 676, 795, 565, 2940, 0, 305, 908, 568, 2139, 950, 519, 3381, 814, 1044, 10519, 539, 563, 1607, 4183, 568, 711, 2139, 1318, 1631, 269, 7490, 2119, 1586, 2663, 563, 13775, 593, 3967, 476, 278, 267, 476, 1001, 273, 454, 2690, 811, 9623, 267, 1294, 5291, 2517, 4178, 269, 3518, 571, 3820, 11721, 797, 1772, 2199, 1426, 1732, 585, 519, 1604, 286, 1215, 798, 2242, 538, 4189, 2992, 3677, 2242, 538, 1686, 543, 9297, 286, 769, 713, 4853, 2085, 267, 1946, 568, 989, 13681, 5350, 1869, 971, 513, 3844, 851, 540, 865, 1082, 11615, 286, 634, 5253, 5525, 5358, 693, 519, 772, 3387, 571, 4659, 2591, 1053, 547, 3801, 547, 2626, 891, 2055, 543, 811, 1247, 2713, 538, 3131, 1872, 807, 547, 1353, 1426, 538, 7977, 269, 634, 22089, 568, 689, 519, 1585, 11925, 267, 607, 1134, 607, 15143, 547, 623, 12609, 267, 3525, 6511, 267, 543, 519, 3397, 761, 584, 1143, 334, 1412, 8867, 8738, 613, 9538, 901, 2110, 3381, 3947, 606, 7650, 540, 519, 5253, 5525, 5358, 269, 630, 21581, 676, 12832, 7637, 6022, 636, 2692, 267, 1936, 730, 676, 7905, 2098, 778, 776, 3767, 752, 264, 0, 288, 7991, 8061, 6838, 547, 519, 27264, 543, 6657, 540, 22966, 17155, 32522, 543, 4033, 10613, 540, 12465, 19024, 6363, 4193, 454, 5804, 281, 25414, 23520, 454, 14630, 281, 476, 1001, 279, 3967, 476, 1321, 267, 476, 1015, 281, 5400, 910, 24699, 271, 454, 2791, 4280, 1018, 616, 519, 10253, 262, 24795, 593, 519, 9102, 918, 822, 7590, 7288, 344, 781, 7470, 563, 763, 9102, 7470, 814, 912, 268, 519, 20337, 658, 1899, 6825, 630, 2431, 3562, 268, 3847, 264, 476, 271, 4113, 349, 5197, 4113, 607, 513, 2539, 5569, 282, 1287, 476, 5197, 4113, 349, 11740, 4113, 630, 3847, 3562, 28878, 264, 607, 606, 5580, 5569, 269, 634, 1318, 11804, 1439, 540, 519, 20337, 658, 1899, 814, 519, 6003, 834, 301, 257, 630, 333, 792, 519, 476, 271, 4113, 1923, 476, 11740, 4113, 1665, 1070, 519, 2451, 11804, 1439, 814, 519, 6003, 834, 306, 257, 630, 333, 792, 519, 476, 5197, 4113, 1665, 11850, 268, 519, 5580, 15393, 814, 519, 834, 14149, 257, 6003, 267, 519, 2539, 15393, 814, 519, 834, 4916, 257, 6003, 3248, 268, 519, 9018, 5858, 814, 1175, 1079, 6825, 9095, 338, 281, 476, 271, 4113, 349, 3445, 4113, 910, 689, 1142, 1439, 540, 519, 20337, 658, 1899, 547, 2901, 15393, 630, 328, 4318, 689, 519, 834, 306, 257, 547, 834, 14149, 2580, 3957, 519, 834, 301, 677, 1156, 3616, 1588, 2580, 543, 689, 519, 834, 301, 257, 547, 834, 4916, 2580, 3957, 519, 834, 306, 4822, 3616, 1588, 257, 1916, 9827, 972, 568, 513, 17250, 6029, 519, 1697, 6165, 540, 519, 7470, 267, 594, 9364, 1732, 11571, 621, 543, 2022, 621, 1934, 563, 28775, 602, 2337, 269, 0, 5522, 2880, 645, 4711, 281, 16505, 519, 18888, 454, 4692, 21808, 1491, 1753, 476, 4649, 2929, 5068, 10918, 11435, 1142, 3018, 267, 609, 513, 1804, 6871, 10678, 909, 538, 519, 25087, 269, 4495, 538, 519, 3618, 267, 621, 666, 1491, 476, 272, 267, 1822, 1296, 585, 513, 5068, 9126, 547, 15059, 1247, 32749, 5739, 543, 6757, 6464, 2620, 883, 519, 3037, 269, 3807, 538, 5450, 549, 26551, 4805, 267, 5111, 476, 2190, 267, 1822, 19726, 540, 5068, 11435, 1439, 909, 609, 713, 1482, 12556, 2443, 602, 779, 827, 476, 1556, 13532, 540, 5068, 11435, 829, 1268, 563, 5522, 2880, 11435, 616, 1500, 689, 2901, 1164, 29213, 4874, 26120, 630, 295, 7894, 292, 1948, 273, 264, 610, 1970, 29213, 4874, 26120, 630, 299, 7894, 292, 1948, 275, 1040, 700, 7894, 292, 568, 513, 5394, 267, 17953, 344, 5068, 602, 568, 3335, 1031, 676, 10685, 8637, 267, 1247, 670, 7894, 292, 568, 513, 6094, 17426, 5068, 602, 596, 666, 1419, 1265, 693, 17365, 8637, 269, 2755, 513, 2442, 3903, 1813, 547, 741, 13418, 543, 4222, 267, 5068, 11435, 24571, 909, 7088, 28368, 267, 3411, 11229, 7320, 267, 543, 616, 2348, 513, 5458, 1764, 538, 593, 938, 4541, 563, 2791, 949, 723, 4862, 602, 5068, 11435, 616, 6691, 762, 543, 602, 789, 666, 581, 1500, 883, 1007, 11435, 267, 5251, 16025, 267, 5068, 29421, 267, 17552, 5371, 7515, 543, 3765, 3250, 10389, 25510, 269, 769, 1249, 267, 972, 616, 1225, 2125, 728, 3292, 602, 2709, 713, 4781, 267, 607, 1134, 607, 2199, 17365, 8637, 602, 3398, 713, 1826, 540, 1570, 269, 1717, 267, 713, 568, 811, 899, 8380, 513, 17020, 5025, 573, 593, 519, 1966, 269, 10435, 1945, 968, 516, 7094, 762, 892, 1058, 581, 519, 1360, 2063, 4781, 267, 2523, 950, 621, 2501, 547, 5068, 269, 898, 779, 1100, 4898, 2829, 899, 2836, 604, 1640, 11844, 267, 1715, 3840, 267, 543, 9628, 723, 3323, 547, 7333, 5068, 11435, 782, 1927, 1107, 606, 11036, 602, 1058, 581, 5189, 538, 4516, 2336, 3383, 267, 1018, 666, 596, 798, 286, 11822, 269, 20780, 513, 23431, 12308, 9126, 269, 1358, 2461, 20522, 267, 10357, 7888, 267, 543, 811, 14463, 982, 741, 5068, 13413, 269, 9578, 596, 666, 11547, 873, 543, 19074, 873, 936, 543, 936, 1586, 1510, 2152, 269, 1403, 596, 1902, 607, 2370, 607, 1269, 276, 883, 513, 2362, 1439, 9126, 267, 519, 2132, 786, 1419, 581, 1296, 540, 946, 269, 3281, 716, 762, 11435, 616, 849, 513, 1390, 4781, 282, 4444, 513, 1906, 543, 12235, 873, 538, 707, 1286, 267, 1625, 572, 267, 610, 15547, 9126, 267, 602, 1259, 596, 2461, 2760, 1510, 873, 269, 2060, 519, 14812, 4947, 909, 267, 789, 1118, 15813, 6006, 532, 8631, 619, 2336, 12648, 519, 8414, 12254, 7420, 543, 2119, 547, 3479, 606, 3003, 3923, 1510, 5068, 11435, 269, 570, 11548, 721, 707, 3356, 543, 649, 3580, 2709, 1022, 4388, 547, 18663, 596, 547, 1832, 2469, 256, 630, 30357, 7711, 327, 7026, 560, 753, 994, 20124, 11905, 281, 763, 26851, 267, 661, 1206, 344, 0, 303, 23393, 1206, 538, 519, 20845, 281, 14088, 454, 1556, 4924, 476, 1001, 279, 454, 5472, 1695, 31471, 26663, 2366, 513, 1390, 1297, 540, 3190, 12310, 547, 3391, 1004, 547, 519, 1318, 2619, 543, 4001, 873, 827, 519, 835, 543, 1152, 2696, 269, 769, 519, 20845, 267, 476, 1839, 28556, 941, 5018, 10452, 519, 1034, 1271, 27139, 11775, 538, 741, 1272, 269, 14088, 568, 711, 1152, 519, 1101, 22445, 540, 5771, 855, 646, 568, 849, 519, 1101, 1480, 2813, 676, 16589, 543, 646, 568, 2808, 547, 581, 519, 4651, 540, 8103, 269, 16589, 1767, 547, 1010, 23109, 538, 519, 20845, 267, 968, 29012, 267, 594, 786, 1118, 2390, 519, 3618, 513, 20422, 6392, 2437, 1496, 2704, 5174, 26698, 23022, 267, 476, 1789, 14073, 3849, 600, 729, 2813, 689, 10036, 607, 16589, 3081, 267, 968, 4517, 1284, 1705, 6157, 1711, 812, 856, 540, 10036, 689, 606, 12012, 3109, 16095, 1848, 1496, 2704, 6953, 6359, 337, 267, 476, 2918, 4940, 634, 21024, 17124, 1496, 303, 289, 308, 295, 316, 5018, 602, 14088, 729, 2813, 538, 519, 3239, 540, 16589, 267, 968, 5472, 1695, 2813, 14088, 538, 3571, 3239, 2223, 1496, 289, 4157, 327, 926, 267, 476, 26727, 3910, 799, 1797, 602, 14088, 729, 2016, 930, 540, 16589, 779, 10305, 899, 2648, 543, 19807, 563, 5472, 1695, 1287, 6026, 14088, 519, 4408, 540, 3388, 267, 799, 941, 711, 1634, 676, 519, 23109, 267, 543, 16589, 4280, 519, 23109, 547, 605, 1598, 622, 1354, 14088, 269, 2353, 540, 873, 23491, 539, 4849, 585, 594, 1076, 525, 630, 25823, 534, 1070, 945, 729, 818, 5766, 656, 269, 901, 818, 5766, 766, 5129, 513, 1713, 1909, 607, 646, 1185, 1831, 519, 6574, 10546, 547, 16589, 543, 547, 30768, 563, 296, 1076, 525, 13991, 1010, 3646, 547, 1832, 1004, 2476, 689, 16589, 269, 1879, 16589, 5795, 14088, 27032, 547, 2661, 543, 2972, 609, 1010, 19898, 18832, 910, 945, 729, 2813, 689 ]

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

[ 1007, 9035, 538, 2542, 267, 1565, 267, 543, 3395, 269, 8414, 3695, 2439, 9616, 281, 2368, 9921, 4798, 616, 4843, 538, 891, 9089, 282, 4061, 267, 15366, 5583, 568, 5227, 3823, 3261, 520, 8864, 1759, 593, 1367, 2875, 15657, 2157, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 292, 27996, 2441, 27255, 568, 606, 1977, 957, 816, 543, 22256, 269, 2701, 568, 1655, 1634, 585, 5107, 971, 607, 8349, 710, 654, 820, 7615, 538, 29853, 267, 23885, 13852, 538, 4210, 574, 325, 534, 267, 670, 20087, 18301, 2917, 538, 634, 645, 9734, 590, 8651, 267, 17555, 17664, 538, 634, 17828, 24143, 267, 674, 542, 320, 538, 22947, 17839, 267, 25014, 3821, 538, 1215, 547, 7605, 513, 7813, 267, 4432, 1047, 8092, 787, 538, 634, 32202, 3293, 267, 543, 15776, 12340, 853, 549, 10964, 538, 634, 8865, 585, 2441, 269, 4173, 8613, 17099, 1331, 623, 13873, 11856, 267, 654, 17673, 4975, 267, 14520, 26440, 4181, 267, 634, 2983, 6511, 16026, 8058, 267, 543, 8729, 269, 1280, 1200, 2773, 538, 519, 476, 1220, 271, 4670, 29853, 267, 1352, 4607, 519, 24211, 309, 28414, 13815, 585, 21058, 16505, 10843, 13437, 269, 18004, 607, 661, 27996, 13191, 2441, 27255, 593, 4864, 476, 866, 267, 476, 2735, 273, 538, 22208, 267, 6115, 267, 7330, 547, 918, 4331, 543, 24697, 2441, 27255, 267, 661, 27996, 8057, 909, 538, 28180, 11968, 13353, 267, 4993, 269, 2701, 12851, 547, 21785, 267, 20636, 267, 2296, 267, 4436, 267, 13677, 267, 21730, 267, 543, 9721, 16350, 269, 2701, 814, 606, 4587, 3368, 1532, 549, 750, 3957, 19162, 543, 1079, 7820, 18618, 14552, 3957, 667, 2033, 543, 15952, 334, 269, 2701, 779, 6982, 6048, 543, 729, 1753, 1153, 539, 269, 2701, 814, 1044, 9310, 547, 23045, 2494, 612, 2094, 476, 1001, 276, 269, 570, 690, 9220, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 645, 3224, 25612, 590, 8651, 262, 20096, 11470, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3864, 1315, 2296, 267, 9721, 267, 13677, 267, 21730, 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, 18279, 7917, 661, 269, 10557, 267, 12789, 1421, 1085, 542, 540, 513, 588, 528, 1221, 9098, 1920, 267, 533, 3166, 519, 16064, 540, 1010, 17514, 1222, 267, 22898, 9098, 267, 31325, 856, 693, 519, 5318, 1163, 534, 572, 540, 1216, 1354, 1864, 269, 3571, 2247, 729, 30223, 267, 711, 1152, 676, 519, 29287, 13287, 540, 519, 10546, 18239, 855, 849, 676, 22027, 827, 519, 32660, 540, 741, 2014, 780, 14367, 2034, 2987, 268, 12252, 267, 31924, 3627, 13177, 8381, 267, 14059, 15891, 13124, 269, 834, 290, 2194, 664, 267, 594, 1294, 873, 593, 519, 16880, 2437, 646, 1767, 23900, 267, 15738, 547, 513, 12440, 540, 9635, 538, 519, 3845, 780, 299, 2465, 21330, 1989, 574, 569, 269, 1261, 6785, 1018, 789, 5185, 910, 606, 11566, 3196, 540, 4401, 743, 611, 28749, 267, 812, 2740, 676, 1134, 2389, 11712, 1212, 9749, 945, 4371, 782, 519, 5383, 540, 2338, 267, 3595, 12741, 267, 543, 3761, 3515, 269, 1656, 2943, 267, 5103, 713, 1702, 267, 646, 1223, 711, 21199, 1055, 513, 2631, 540, 2062, 321, 5317, 267, 4535, 689, 606, 4656, 540, 519, 6526, 1006, 540, 1480, 20089, 543, 519, 15265, 1942, 540, 2112, 780, 2026, 519, 1079, 2367, 11542, 2427, 676, 2427, 267, 8384, 519, 1935, 540, 519, 5742, 18239, 267, 8381, 12038, 1586, 269, 834, 306, 597, 267, 949, 594, 2307, 596, 1945, 12482, 299, 2465, 5828, 547, 3068, 1864, 267, 1010, 4064, 4904, 609, 513, 7848, 540, 7279, 543, 18354, 269, 834, 8170, 1576, 267, 3627, 2437, 646, 14452, 269, 834, 1432, 568, 621, 602, 22179, 865, 8185, 593, 707, 2247, 12482, 24841, 11688, 18469, 267, 10478, 585, 1913, 602, 1522, 6655, 1010, 4555, 1510, 20729, 532, 519, 24187, 1369, 269, 2311, 2063, 267, 646, 1336, 873, 269, 834, 296, 3112, 948, 855, 4898, 267, 27205, 267, 952, 938, 6560, 568, 4502, 519, 3902, 649, 2628, 269, 1284, 4339, 12703, 569, 267, 3020, 2614, 267, 855, 616, 649, 8165, 585, 1945, 5963, 17709, 540, 938, 15093, 286, 2107, 616, 649, 8806, 1642, 24851, 6000, 883, 18468, 602, 938, 1259, 540, 1272, 568, 896, 3463, 950, 267, 5310, 267, 621, 568, 3274, 4657, 3564, 6284, 12482, 299, 2465, 6743, 1279, 543, 2182, 693, 1010, 1762, 9114, 23133, 267, 7487, 538, 1010, 4064, 1312, 4250, 543, 10100, 267, 10539, 543, 8990, 269, 1280, 513, 4090, 267, 646, 2808, 1065, 549, 2286, 1864, 585, 6340, 3976, 267, 15819, 519, 1360, 5748, 540, 741, 3838, 4978, 282, 3079, 267, 2705, 267, 646, 8359, 547, 2626, 25473, 780, 257, 11990, 267, 1250, 5067, 267, 972, 723, 1044, 2053, 950, 1256, 594, 723, 20402, 2436, 938, 2619, 568, 1175, 269, 1809, 1287, 594, 3314, 519, 3741, 585, 799, 649, 1796, 267, 519, 2418, 602, 723, 11461, 721, 998, 5481, 540, 17636, 543, 14488, 269, 8786, 267, 519, 1158, 1472, 721, 2242, 267, 3006, 24847, 543, 9048, 22106, 2406, 267, 855, 1281, 602, 1611, 649, 10205, 1346, 1919, 602, 1118, 721, 945, 649, 616, 286, 2334, 2285, 2495, 547, 938, 2729, 543, 3483, 547, 938, 9620, 12482, 24841, 695, 809, 1010, 2212, 7444, 267, 1620, 546, 27681, 538, 1010, 4064, 269, 834, 5591, 267, 27205, 267, 594, 15475, 711, 3010, 3719, 1869, 267, 519, 2243, 19388, 1229, 1063, 873, 267, 899, 606, 7938, 4372, 16823, 693, 513, 21649, 269, 12984, 741, 18326, 20582, 286, 21518, 789, 1318, 547, 1491, 909, 7916, 1996, 741, 8284, 2197, 5443, 538, 8878, 540, 513, 12955, 5326, 2496, 4517, 607, 519, 6370, 986, 3022, 1472, 873, 267, 607, 666, 12061, 27750, 3458, 3139, 998, 519, 2011, 543, 8673, 3915, 15735, 689, 695, 13593, 26083, 338, 267, 1346, 2055, 1131, 20807, 1142, 812, 20829, 6928, 267, 6117, 930, 547, 21817, 543, 1866, 547, 6411, 540, 5869, 1143, 28703, 540, 18418, 566, 780, 2690, 1498, 519, 20752, 13108, 949, 723, 26218, 519, 2200, 543, 4222, 540, 922, 535, 4141, 267, 621, 22234, 1945, 2484, 3152, 281, 519, 967, 558, 3386, 6891, 540, 2367, 8348, 547, 2482, 1524, 741, 2729, 585, 1018, 789, 5156, 538, 269, 898, 729, 513, 9371, 602, 1131, 22036, 1279, 1310, 519, 3803, 15833, 678, 836, 856, 936, 519, 6329, 267, 16079, 532, 998, 1686, 607, 513, 15266, 547, 519, 1379, 540, 24235, 543, 519, 30840, 540, 519, 1480, 9997, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 22081, 1705, 519, 20752, 13108, 5635, 547, 519, 5742, 13108, 538, 2474, 540, 2200, 543, 4222, 888, 763, 20752, 13108, 729, 1454, 4130, 543, 21260, 982, 519, 5742, 13108, 538, 2474, 540, 2200, 543, 4222, 269, 634, 5742, 13108, 1185, 513, 3677, 1297, 540, 10617, 4721, 267, 811, 4359, 2029, 267, 543, 1732, 2389, 11712, 25501, 269, 634, 20752, 13108, 1185, 547, 7048, 593, 1507, 267, 1561, 14876, 9635, 267, 1082, 540, 799, 941, 10736, 21471, 8043, 269, 1358, 849, 1185, 3908, 7616, 543, 17388, 547, 2226, 7727, 543, 3937, 269, 6736, 891, 2591, 267, 519, 20752, 13108, 729, 2111, 547, 4163, 856, 1896, 3811, 4238, 267, 971, 607, 519, 2038, 3625, 1228, 540, 5742, 16788, 543, 519, 29855, 540, 519, 2475, 306, 670, 748, 520, 4577, 676, 513, 20752, 26747, 269, 1717, 267, 2949, 267, 519, 5742, 13108, 781, 9120, 2200, 543, 4222, 5129, 513, 1713, 1909, 538, 519, 10700, 6364, 540, 519, 6406, 2782, 14325, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 3848, 1422, 265, 315, 265, 21328, 20676, 532, 538, 23270, 338, 315, 265, 315, 15846, 589, 2622, 540, 19693, 7827, 454, 5785, 28598, 5331, 19480, 883, 513, 14297, 4104, 4904, 609, 26009, 4054, 267, 669, 597, 4771, 5017, 267, 543, 17875, 1782, 7786, 269, 901, 4104, 568, 899, 513, 5458, 2749, 1141, 1169, 2713, 13442, 1107, 689, 519, 10545, 17079, 547, 519, 4102, 3529, 1107, 4249, 513, 1909, 538, 5329, 519, 834, 322, 640, 257, 9800, 543, 14762, 269, 1215, 1281, 713, 4755, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 1648, 15203, 1369, 8134, 2439, 2162, 2878, 1432, 568, 606, 23270, 15140, 2304, 5117, 568, 899, 513, 2462, 8378, 1141, 2371, 267, 2831, 267, 543, 1256, 6263, 267, 15865, 7068, 1572, 14471, 2661, 1927, 269, 1452, 7264, 2170, 609, 835, 1776, 543, 2671, 2200, 971, 607, 1216, 267, 7943, 267, 543, 3037, 269, 8625, 267, 789, 1711, 513, 1950, 3060, 602, 8952, 3388, 7059, 543, 4881, 12347, 780, 4131, 781, 946, 938, 4104, 1383, 1586, 269, 6129, 2775, 6411, 607, 519, 3119, 2707, 540, 1648, 585, 519, 4104, 269, 12518, 10110, 7943, 543, 6460, 621, 883, 1426, 998, 15591, 269, 12292, 1287, 3548, 1346, 2371, 630, 528, 824, 2831, 264, 543, 1205, 519, 1648, 789, 991, 547, 7639, 269, 1809, 7227, 267, 972, 781, 811, 256, 2991, 2831, 5305, 3653, 610, 950, 789, 1780, 2476, 267, 10920, 1842, 619, 2736, 1524, 891, 5214, 2326, 267, 13059, 1898, 5567, 1394, 547, 519, 3037, 269, 901, 4783, 5170, 267, 3850, 1272, 547, 21707, 2429, 519, 5117, 780, 2162, 2878, 763, 10020, 540, 1160, 3027, 619, 267, 3117, 28366, 267, 543, 1546, 1260, 1842, 619, 4373, 1103, 1022, 2016, 5117, 267, 2713, 1919, 666, 581, 9286, 883, 1614, 6688, 1759, 593, 875, 789, 3489, 1648, 1384, 272, 269, 2608, 303, 1238, 6203, 17041, 1452, 616, 2356, 3039, 2371, 602, 3132, 741, 1378, 1426, 1210, 7943, 267, 3327, 8166, 267, 543, 1216, 269, 1284, 1289, 713, 1184, 2608, 31688, 657, 11853, 30818, 6056, 827, 782, 519, 3039, 2044, 4478, 721, 1765, 339, 4181, 267, 6371, 267, 5810, 267, 3092, 269, 1358, 2811, 782, 11112, 6721, 1426, 543, 16089, 5135, 607, 513, 676, 28237, 269, 8729, 267, 2371, 2336, 273, 269, 2608, 8256, 28366, 17041, 1452, 616, 519, 2030, 3887, 11596, 630, 615, 321, 643, 2803, 1070, 5779, 3887, 11596, 630, 322, 7568, 643, 2803, 1070, 543, 1346, 945, 8532, 1312, 630, 558, 16622, 2803, 1040, 1280, 3236, 267, 17544, 544, 4875, 593, 3762, 543, 5388, 282, 17761, 802, 6968, 23224, 282, 1247, 3425, 2972, 4189, 1585, 3536, 8151, 689, 5613, 547, 2848, 752, 563, 274, 269, 2608, 5719, 1260, 1842, 619, 17041, 29318, 543, 13271, 4866, 547, 713, 7121, 269, 4256, 2816, 568, 547, 2736, 1524, 4666, 7103, 543, 22837, 267, 7432, 873, 883, 12863, 6878, 602, 556, 10938, 519, 3037, 543, 616, 12842, 676, 12696, 2899, 811, 269, 3026, 520, 267, 1318, 2496, 3086, 1577, 781, 1589, 1394, 547, 938, 4104, 269, 2052, 596, 2697, 930, 1806, 540, 12696, 267, 6800, 267, 543, 10920, 1842, 619, 1369, 621, 2496, 2162, 2878, 6781, 8438, 11790, 281, 6348, 6441, 1516, 855, 12830, 24812, 4373, 4407, 649, 1419, 1445, 593, 519, 2713, 3334, 540, 606, 5117, 267, 1875, 2000, 1516, 2188, 1404, 2629, 5107, 1932, 256, 19612, 607, 705, 8438, 2188, 267, 789, 1331, 2609, 899, 2837, 267, 11811, 267, 2842, 267, 543, 7943, 269, 5994, 952, 938, 4104, 10393, 2968, 5393, 4411, 610, 12015, 856, 4625, 1813, 547, 3668, 540, 4764, 269, 3509, 11317, 1131, 6560, 547, 7639, 2439, 6781, 8438, 2188, 849, 3310, 519, 3892, 543, 2623, 540, 2713, 7919, 269, 1280, 1383, 267, 1978, 2371, 4782, 12094, 936, 1463, 7943, 267, 865, 789, 1332, 2620, 1369, 7733, 2864, 982, 1930, 4610, 269, 6684 ]

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

[ 628, 1023, 454, 12201, 513, 1713, 2333, 538, 2634, 2450, 689, 670, 269, 3110, 18442, 454, 1080, 2634, 2450, 568, 711, 899, 513, 32315, 345, 2465, 267, 543, 711, 899, 513, 2413, 1480, 267, 865, 649, 454, 3104, 922, 5042, 569, 1114, 689, 1312, 267, 855, 24085, 616, 1869, 3843, 547, 454, 29664, 856, 530, 339, 325, 547, 798, 609, 602, 1344, 454, 527, 3788, 15458, 2436, 519, 5042, 2242, 3769, 1893, 610, 711, 454, 11004, 568, 513, 1942, 547, 513, 3677, 2634, 267, 607, 670, 269, 16245, 639, 814, 547, 15558, 519, 1648, 602, 4422, 454, 339, 578, 1841, 5885, 519, 2634, 454, 295, 269, 16245, 639, 5526, 547, 581, 7610, 1746, 543, 29227, 782, 519, 12137, 1127, 602, 519, 824, 454, 2102, 5028, 689, 519, 5982, 1974, 13026, 454, 1607, 2249, 3935, 3278, 1007, 5054, 454, 24874, 12320, 2967, 717, 5282, 267, 25157, 454, 2750, 322, 822, 730, 676, 11066, 543, 6307, 2274, 820, 344, 454, 294, 5282, 11912, 883, 606, 857, 0, 763, 2229, 786, 6338, 513, 16005, 2132, 10325, 630, 11403, 306, 264, 538, 4789, 267, 1641, 547, 513, 15360, 2663, 713, 1032, 563, 306, 7739, 2818, 5901, 6628, 570, 573, 344, 267, 22411, 547, 13363, 22798, 4789, 630, 9573, 3918, 264, 543, 519, 13149, 11094, 5980, 723, 3366, 513, 5859, 547, 6338, 667, 11965, 538, 519, 5177, 269, 4256, 1382, 4951, 602, 621, 1223, 4688, 5646, 15078, 6634, 540, 6550, 513, 1032, 563, 25387, 5177, 6800, 979, 998, 606, 6059, 476, 1724, 5479, 5068, 10425, 14569, 513, 1032, 267, 855, 811, 982, 1614, 5479, 616, 1651, 10719, 730, 267, 2366, 547, 25087, 610, 2451, 547, 3542, 1393, 938, 10754, 267, 24781, 543, 7286, 1604, 563, 1103, 513, 3493, 21627, 4676, 1495, 30868, 630, 11403, 306, 264, 596, 4444, 519, 9115, 540, 513, 11480, 267, 855, 1152, 10210, 519, 11480, 910, 2147, 547, 5144, 11480, 4015, 610, 519, 2025, 7054, 333, 5174, 745, 11480, 10325, 269, 634, 1507, 16005, 6976, 593, 1283, 540, 519, 4235, 630, 296, 337, 333, 5174, 745, 14569, 1185, 513, 476, 1789, 335, 16005, 264, 568, 4628, 1201, 24962, 950, 519, 8900, 11480, 568, 8120, 563, 9928, 582, 1633, 9307, 922, 1544, 585, 513, 667, 11965, 538, 5181, 543, 1896, 2706, 5658, 1115, 723, 1767, 789, 786, 12681, 519, 10325, 563, 9573, 3918, 814, 5859, 539, 585, 519, 4367, 540, 513, 667, 11965, 585, 476, 1015, 1296, 269, 4256, 16445, 10872, 8689, 267, 6341, 13183, 320, 670, 8973, 267, 1767, 912, 22154, 568, 513, 13085, 543, 1713, 3375, 676, 7812, 717, 913, 269, 594, 993, 4278, 2683, 602, 649, 786, 6368, 1294, 519, 1082, 2640, 513, 16005, 1062, 786, 3142, 547, 4789, 267, 711, 2547, 519, 9000, 540, 30299, 10425, 11149, 538, 938, 4190, 24781, 563, 18658, 779, 1713, 568, 602, 12696, 786, 1631, 2628, 519, 2407, 3790, 540, 741, 11183, 267, 4227, 519, 11411, 593, 519, 27710, 9707, 543, 4259, 513, 2178, 30675, 585, 824, 14565, 1141, 519, 12376, 518, 17188, 269, 901, 2731, 568, 513, 12050, 543, 3078, 1900, 676, 519, 6554, 3034, 7804, 590, 826, 20943, 8124, 267, 631, 5425, 18947, 21694, 8889, 20229, 267, 3081, 519, 1847, 786, 3648, 2569, 5068, 5533, 281, 968, 534, 3328, 540, 476, 7761, 20892, 11149, 829, 476, 1911, 332, 540, 11824, 538, 4789, 941, 1336, 538, 938, 4279, 3703, 16047, 11162, 5619, 538, 476, 1001, 278, 269, 901, 568, 513, 3094, 2914, 514, 3510, 585, 6800, 267, 3454, 2628, 619, 543, 519, 1604, 7567, 3034, 2791, 666, 4585, 513, 3381, 689, 519, 8713, 3918, 593, 875, 519, 667, 11965, 1131, 960, 563, 14294, 909, 547, 513, 9815, 1788, 610, 5859, 4757, 1592, 563, 15933, 543, 2916, 1689, 281, 9815, 814, 3144, 513, 16994, 1719, 538, 519, 6385, 7213, 6819, 2963, 827, 519, 1198, 540, 1426, 543, 8105, 593, 2916, 1689, 267, 607, 3621, 2963, 19674, 602, 938, 1426, 1062, 568, 513, 1360, 1713, 23784, 547, 8511, 3154, 5434, 269, 3776, 1426, 543, 2916, 1689, 3817, 2594, 938, 2238, 593, 713, 2565, 3390, 563, 6321, 910, 476, 5038, 15182, 731, 9335, 454, 19061, 338, 1299, 11044, 454, 289, 21392, 11233, 5253, 454, 14399, 781, 2657, 8750, 454, 14399, 781, 5253, 22411, 454, 15933, 543, 28524, 8889, 454, 15933, 1071, 268, 3591, 32367, 454, 14187, 5253, 1280, 5507, 454, 26780, 5253, 13017, 454, 5522, 8911, 5253, 20079, 454, 18600, 29968, 22411, 454, 305, 334, 1824, 547, 960, 454, 24591, 3776, 25095, 7821, 454, 306, 13610, 12829, 5177, 454, 306, 20980, 12551, 20079, 454, 306, 20980, 5253, 20079, 454, 763, 8262, 6226, 454, 31413, 5253, 10783, 9519 ]

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

[ 711, 519, 2063, 540, 968, 294, 16104, 892, 5880, 3547, 267, 476, 277, 811, 4553, 519, 1101, 609, 519, 10513, 14924, 4657, 1852, 1169, 942, 28428, 7366, 540, 5215, 540, 2729, 782, 1247, 519, 23573, 1025, 520, 14688, 12038, 1996, 10617, 543, 11318, 269, 901, 0, 2521, 14874, 519, 4636, 3283, 910, 589, 264, 21188, 2073, 3092, 960, 593, 7533, 2010, 1299, 972, 568, 1100, 10878, 301, 3989, 585, 7533, 2010, 910, 18178, 645, 264, 4595, 519, 1101, 11346, 568, 21188, 519, 1267, 786, 2760, 581, 2942, 910, 18178, 19382, 609, 1079, 3681, 595, 1299, 667, 1547, 634, 4082, 538, 707, 2243, 786, 6218, 547, 910, 4029, 21188, 476, 1789, 1547, 667, 264, 476, 9083, 275, 568, 1932, 2462, 547, 581, 519, 1267, 540, 910, 4029, 21188, 476, 1789, 910, 18178, 2334, 3762, 596, 609, 4781, 595, 799, 568, 519, 2953, 2626, 1547, 1548, 11759, 344, 781, 6045, 568, 9090, 2838, 585, 519, 5909, 1299, 789, 798, 2503, 596, 547, 798, 713, 8206, 634, 1657, 4480, 568, 5363, 538, 3871, 1141, 789, 9364, 4440, 2503, 596, 547, 798, 713, 910, 6715, 518, 269, 7246, 311, 318, 309, 3201, 16604, 21188, 476, 5038, 12891, 880, 454, 1103, 1840, 547, 519, 30491, 1657, 267, 585, 713, 1880, 2243, 267, 2899, 596, 8275, 1018, 519, 9352, 6041, 540, 910, 4029, 568, 630, 2158, 538, 782, 476, 3953, 11353, 1070, 543, 519, 1249, 602, 519, 1101, 5106, 267, 642, 714, 910, 4029, 24257, 276, 568, 606, 5667, 11220, 5106, 267, 621, 3587, 2653, 269, 2353, 519, 824, 6521, 4238, 786, 3274, 6445, 21325, 538, 593, 519, 2451, 2094, 519, 9049, 289, 568, 4642, 269, 1403, 596, 1039, 909, 782, 519, 6521, 2418, 267, 630, 276, 266, 276, 266, 276, 266, 276, 266, 276, 266, 276, 1070, 596, 1131, 723, 4904, 476, 1789, 21325, 689, 519, 2451, 282, 6028, 1152, 519, 9803, 1079, 11353, 4904, 609, 513, 476, 272, 269, 634, 1871, 568, 1287, 1360, 3362, 2938, 547, 581, 476, 274, 563, 296, 993, 14880, 267, 3751, 540, 519, 2826, 976, 269, 1656, 713, 568, 513, 6263, 740, 281, 0, 6624, 1053, 2972, 6947, 547, 2575, 1247, 789, 1353, 610, 798, 6780, 269, 2755, 930, 3237, 616, 1996, 713, 2856, 267, 3206, 621, 786, 1152, 16297, 873, 689, 741, 4247, 267, 972, 616, 1082, 2640, 547, 6947, 547, 2575, 1247, 11264, 1153, 960, 563, 1692, 4841, 2052, 5484, 24674, 689, 23016, 547, 8535, 454, 763, 1739, 616, 1175, 513, 1906, 5383, 2575, 666, 723, 593, 1053, 563, 18719, 1386, 24517, 1674, 543, 10312, 454, 5278, 1053, 1265, 602, 2575, 2337, 873, 1445, 543, 13404, 593, 741, 960, 269, 901, 568, 2523, 3020, 585, 1346, 945, 1353, 1732, 609, 4282, 6846, 269, 29892, 9350, 267, 25695, 2575, 666, 948, 1832, 873, 593, 3950, 543, 3625, 19240, 563, 22137, 1397, 602, 6947, 547, 2575, 1247, 2324, 666, 2333, 7607, 543, 1445, 269, 769, 835, 1353, 267, 5171, 945, 19557, 547, 8106, 2575, 1247, 11264, 3007, 24683, 21505, 4247, 1223, 3251, 593, 4305, 3476, 543, 1500, 7864, 6959, 982, 1346, 945, 5249, 538, 16563, 269, 634, 4779, 345, 691, 1198, 949, 581, 10151, 267, 855, 621, 666, 581, 5363, 693, 519, 4090, 563, 24965, 1027, 13262, 543, 17520, 454, 24523, 666, 849, 948, 2569, 2566, 543, 4160, 267, 1312, 540, 799, 666, 15936, 609, 1565, 269, 901, 568, 1317, 2575, 666, 19334, 519, 11005, 3210, 267, 799, 568, 513, 12214, 1533, 602, 568, 519, 6587, 540, 519, 2566, 3210, 563, 763, 11005, 3210, 568, 2404, 609, 4389, 2295, 2557, 267, 1973, 2604, 267, 543, 14887, 7244, 269, 901, 666, 948, 2569, 2566, 543, 4160, 267, 1312, 540, 799, 666, 2087, 5042, 1599, 543, 1565, 563, 289, 21392, 4530, 590, 13990, 454, 1103, 1840, 547, 4543, 609, 5834, 267, 2575, 666, 849, 1291, 547, 1732, 1449, 8464, 269, 2290, 1353, 1336, 602, 1053, 945, 19557, 547, 8106, 2575, 1354, 2921, 513, 2979, 1449, 856, 704, 11526, 1346, 945, 1705, 711, 6432, 547, 2575, 610, 19557, 547, 1776, 1826, 540, 2575, 563, 8448, 1382, 814, 3254, 602, 1053, 945, 1353, 2575, 4043, 547, 11677, 811, 1344, 543, 798, 1732, 593, 4255, 982, 1346, 945, 1353, 538, 16563, 269, 901, 568, 2693, 1317, 2575, 666, 2087, 1445, 543, 5834, 543, 1683, 513, 7646, 5818, 547, 5042, 1599, 563, 22517, 24031, 8682, 268, 18183, 2064, 543, 2598, 23002, 454, 5194, 1713, 4324, 540, 2575, 568, 602, 621, 25242, 1582, 21873, 543, 9015, 269, 4804, 547, 1404, 606, 6293, 610, 2206, 3217, 2259, 267, 11428, 267, 543, 16177, 269, 3414, 713, 1184, 267, 1053, 1451, 602, 789, 666, 9585, 2352, 4247, 952, 789, 6529, 609, 873, 269, 901, 16012, 6015, 1419, 11498, 883, 824, 2127, 540, 741, 2729, 607, 1134, 563, 2026, 728, 689, 20993, 1582, 21873, 267, 1565, 547, 1404, 606, 6293, 849, 2337, 1053, 1020, 9015, 269, 901, 568, 1317, 2834, 2259, 568, 1898, 585, 1818, 3356, 269, 1306, 1053, 1294, 741, 1983, 2087, 936, 942, 267, 789, 3580, 581, 12592, 547, 1832, 8026, 865, 789, 666, 3136, 547, 1205, 1732, 563, 18719, 557, 11020, 2657, 454, 15563, 267, 6947, 547, 2575, 666, 2965, 2087, 2634, 1072, 269, 901, 568, 1317, 2575, 22851, 2789, 2127, 540, 519, 2634, 267, 1519, 519, 17391, 16794, 267, 5179, 1852, 4525, 267, 543, 519, 18215, 545, 1062, 563, 1607, 14242, 666, 948, 2569, 2085, 5829, 7771, 538, 2634, 1599, 543, 2149, 1996, 2175, 899, 12110, 269, 23016, 547, 2575, 666, 849, 2087, 7099, 267, 3207, 2298, 267, 543, 5042, 1599, 538, 1004, 609, 12216, 779, 2068, 563, 1692, 1677, 8081, 2659, 4132, 779, 11146, 585, 8535, 454, 2252, 707, 1126, 20475, 606, 1719, 538, 2575, 267, 972, 616, 513, 1906, 1919, 596, 666, 798, 547, 1489, 741, 6612, 563, 8340, 519, 9406, 11819, 454, 2252, 707, 1126, 568, 3978, 827, 1565, 2575, 4938, 958, 610, 6293, 958, 267, 596, 3580, 991, 547, 1265, 519, 1318, 2575, 4116, 269, 901, 1268, 786, 581, 3743, 585, 4543, 707, 1126, 1020, 741, 1983, 543, 1451, 1007, 2553, 563, 16100, 585, 513, 2575, 4116, 609, 1995, 3450, 1053, 540, 782, 6502, 543, 2157, 269, 1411, 1058, 849, 2327, 789, 2461, 3461, 543, 723, 513, 1434, 29037, 609, 1453, 269, 1403, 707, 2370, 835, 6499, 547, 1451, 875, 547, 1404, 519, 14440, 267, 596, 991, 547, 1265, 606, 4810, 14440, 4116, 547, 948, 873, 269, 4855, 513, 2575, 4116, 609, 513, 2189, 1982, 547, 1732, 9290, 707, 1126, 779, 2115, 543, 4690, 269, 1411, 1616, 835, 596, 666, 3972, 267, 568, 6325, 267, 543, 786, 1832, 707, 2370, 835, 2922, 543, 7722, 538, 1169, 8400, 563, 24246, 519, 9406, 16811, 454, 2252, 707, 1126, 6499, 547, 1451, 875, 547, 1404, 606, 6293, 267, 789, 786, 991, 741, 1378, 6293, 547, 2259, 269, 901, 568, 1271, 1317, 621, 3947, 873, 513, 2631, 540, 9562, 543, 5539, 585, 741, 2575, 563, 2252, 596, 2461, 711, 2386, 799, 6293, 547, 4444, 267, 2307, 741, 2575, 4116, 585, 5796, 269, 1358, 1058, 581, 2111, 547, 4363, 606, 6293, 602, 779, 5078, 585, 707, 1126, 779, 2085, 267, 5578, 1377, 267, 543, 4690, 269, 1411, 666, 849, 1413, 585, 19444, 7888, 7405, 602, 616, 2653, 547, 1451, 543, 1404, 563, 2704, 869, 23067, 547, 6657, 17115, 454, 21886, 15758, 707, 2370, 835, 547, 2259, 5781, 786, 948, 873, 1020, 741, 1983, 543, 9015, 269, 901, 2982, 873, 602, 596, 1491, 741, 2575, 12517, 543, 1616, 873, 547, 8011, 269, 2521, 547, 1305, 11735, 930, 942, 1142, 1554, 585, 873, 547, 2259, 269, 1403, 713, 3884, 1406, 2009, 267, 2832, 585, 513, 1906, 2053, 829, 3018, 269, 1411, 666, 849, 948, 873, 676, 4259, 909, 513, 2259, 8430, 610, 3246, 513, 9602, 1747, 585, 873, 547, 1445, 563, 21886, 5971, 23067, 547, 29934, 14970, 9524, 1734, 454, 8266, 2287, 547, 2575, 568, 835, 3364, 267, 855, 11504, 2661, 12644, 568, 1776, 1995, 269, 654, 10248, 2661, 2575, 666, 581, 1360, 11121, 267, 2523, 585, 1762, 1453, 269, 898, 666, 849, 948, 873, 1732, 1174, 519, 2575, 789, 2461, 6947, 547, 543, 8141, 741, 1719, 538, 1114, 11964, 563, 12648, 707, 1126, 547, 1294, 2661, 2575, 12644, 8164, 2009, 952, 596, 666, 269, 1411, 666, 849, 1413, 585, 4819, 7888, 2575, 15976, 610, 30145, 538, 707, 1858, 563, 4131, 23067, 17949, 4256, 8535, 13910, 454, 5278, 1053, 1451, 1732, 609, 741, 5172, 2575, 610, 8964, 4730, 538, 519, 4282, 269, 1403, 713, 568, 519, 2013, 267, 596, 1058, 5000, 873, 547, 6432, 547, 741, 2575, 1247, 8026, 610, 4974, 269, 901, 786, 948, 873, 1445, 543, 3251, 12592, 563, 8170, 1576, 267, 621, 779, 1869, 4105, 585, 873, 547, 6432, 547, 513, 3099, 540, 2575, 267, 865, 789, 666, 4228, 741, 7574, 6492, 269, 1809, 952, 707, 2370, 835, 6560, 547, 1445, 267, 1287, 15603, 873, 6432, 547, 741, 5172, 2575, 949, 948, 563, 2467, 616, 1082, 4128, 1946, 1053, 616, 883, 2575, 267, 689, 5355, 3965, 543, 5834, 547, 20993, 1582, 21873, 543, 9015, 269, 3502, 547, 2446, 267, 621, 779, 849, 513, 1390, 1259, 547, 2569, 2566, 267, 2333, 8788, 267, 543, 3895, 5876, 543, 16542, 269, 1403, 707, 2370, 835, 568, 849, 883, 2575, 267, 1287, 581, 2386, 547, 5000, 543, 1489, 741, 6612, 269, 2991, 782, 267, 2575, 568, 513, 10516, 602, 666, 2063, 513, 10715, 269, 0, 303, 31021, 519, 29147, 19562, 1149, 3947, 519, 1126, 519, 4316, 547, 3648, 2333, 1010, 1702, 540, 519, 1158, 1472, 1864, 267, 519, 1126, 4991, 31235, 609, 4778, 543, 5546, 267, 16137, 519, 4480, 540, 1614, 8820, 5373, 267, 16137, 875, 547, 960, 609, 513, 11453, 543, 19267, 267, 10953, 5386, 5179, 1983, 267, 3007, 267, 9639, 267, 19773, 543, 3206, 3267, 8866, 262, 7801, 3756, 6338, 519, 1126, 519, 1148, 540, 7206, 269, 1358, 666, 1376, 7206, 5515, 693, 519, 2085, 540, 476, 272, 269, 276, 1296, 563, 5978, 7801, 5515, 616, 1500, 547, 2015, 519, 2085, 543, 1585, 5759, 540, 519, 1453, 267, 3142, 15131, 585, 7801, 543, 2285, 873, 606, 791, 28127, 547, 5876, 2336, 5522, 2120, 5515, 7206, 0, 31535, 875, 547, 3132, 22493, 538, 28149, 568, 3730, 1317, 621, 568, 835, 540, 519, 3014, 779, 1034, 14463, 543, 11684, 7161, 269, 22493, 7161, 2097, 538, 513, 3099, 540, 15437, 543, 3112, 581, 14616, 563, 9616, 281, 1452, 5528, 4019, 547, 782, 5867, 540, 28149, 563, 1692, 547, 5192, 22493, 538, 28149, 454, 3519, 4740, 1281, 711, 2049, 6923, 267, 3976, 596, 1590, 1711, 621, 269, 8073, 930, 22493, 32254, 1101, 267, 1287, 946, 621, 593, 513, 1216, 3625, 547, 1118, 513, 22493, 3625, 269, 3973, 267, 1210, 513, 4584, 1314, 324, 267, 9553, 519, 3625, 547, 3489, 707, 22493, 563, 1805, 871, 22493, 32254, 7161, 593, 1283, 540, 835, 1776, 547, 3132, 3875, 22493, 7161, 269, 634, 22493, 5295, 7161, 786, 2887, 950, 596, 9553, 519, 22493, 609, 707, 4584, 1314, 324, 267, 543, 519, 5377, 835, 786, 1831, 22493, 269, 15566, 5599, 519, 5377, 3625, 2394, 596, 723, 6394, 782, 540, 519, 22493, 596, 2154, 563, 26473, 1600, 10049, 585, 22493, 454, 2791, 991, 519, 1739, 3688, 547, 4739, 22493, 5295, 912, 268, 476, 275, 3400, 767, 454, 268, 476, 275, 9995, 454, 268, 476, 272, 667, 6614, 630, 1415, 2681, 994, 2414, 2490, 22493, 5295, 883, 22493, 267, 782, 596, 991, 568, 513, 1216, 2707, 543, 513, 4584, 1314, 324, 547, 9553, 621, 609, 563, 16446, 9995, 3112, 581, 1031, 547, 1118, 22493, 32254, 563, 1692, 547, 5269, 22493, 32254, 454, 1103, 513, 14958, 532, 7305, 267, 9192, 476, 275, 9995, 267, 476, 275, 3400, 767, 267, 543, 476, 272, 667, 6614, 547, 1118, 22493, 32254, 269, 898, 2306, 1100, 3017, 875, 519, 2326, 616, 11231, 563, 1103, 1034, 1979, 2345, 267, 5070, 543, 18574, 666, 581, 1336, 2282, 1216, 269, 4635, 513, 30166, 864, 267, 1114, 7990, 24470, 666, 581, 2813, 610, 24268, 689, 1880, 3615, 563, 1692, 547, 5269, 6519, 543, 4563, 22493, 538, 28149, 454, 8196, 6519, 667, 6614, 547, 1118, 6519, 22493, 32254, 269, 1411, 666, 4739, 6519, 667, 6614, 1210, 476, 272, 24942, 2725, 531, 610, 476, 272, 15039, 540, 519, 9503, 563, 8196, 4563, 667, 6614, 547, 1118, 4563, 22493, 32254, 269, 1677, 4739, 4563, 667, 6614, 267, 946, 476, 272, 769, 330, 15762, 610, 476, 272, 654, 2416, 14986, 563, 1692, 547, 5269, 667, 13433, 538, 28149, 454, 291, 13433, 666, 581, 2813, 676, 13167, 610, 1159, 601, 1154 ]

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

[ 3194, 1790, 889, 7667, 14492, 269, 901, 568, 606, 1930, 1569, 2376, 3370, 896, 519, 21922, 9539, 517, 4467, 14293, 910, 5591, 32056, 643, 2510, 476, 275, 269, 271, 4139, 630, 6717, 15760, 9539, 290, 9539, 291, 476, 275, 269, 271, 264, 6132, 775, 269, 7201, 713, 6132, 775, 267, 519, 9115, 616, 11884, 2139, 2228, 630, 553, 7300, 6119, 264, 585, 24455, 547, 1224, 267, 4647, 267, 5299, 267, 543, 23799, 25572, 3177, 602, 519, 2278, 4433, 1070, 21107, 2319, 267, 543, 17404, 616, 5265, 11855, 269, 20497, 946, 543, 12045, 1568, 616, 267, 2705, 267, 711, 15868, 563, 1607, 1957, 3091, 5813, 883, 1565, 30355, 752, 538, 606, 552, 19543, 1604, 269, 634, 991, 547, 3914, 3845, 268, 3598, 2996, 540, 30355, 752, 3366, 547, 519, 6388, 540, 513, 1357, 2861, 1576, 593, 30355, 752, 1893, 543, 2528, 538, 476, 1220, 279, 1700, 1001, 271, 269, 634, 24099, 4493, 540, 519, 1576, 267, 1572, 14044, 30355, 752, 267, 568, 519, 1914, 27019, 560, 1192, 22999, 1935, 547, 3450, 543, 1565, 267, 538, 799, 519, 1445, 568, 593, 519, 1646, 540, 6267, 685, 32705, 16169, 269, 901, 3450, 4603, 3366, 547, 513, 1353, 538, 799, 519, 1445, 729, 593, 6267, 685, 4978, 543, 2833, 3823, 1565, 30355, 752, 538, 606, 552, 19543, 1604, 269, 634, 2164, 4951, 602, 713, 1880, 1565, 1604, 1185, 513, 2318, 1764, 593, 519, 1646, 540, 6267, 685, 8116, 269, 901, 1764, 729, 7152, 676, 606, 10423, 2333, 538, 8404, 543, 1893, 1565, 4656, 607, 1134, 607, 538, 513, 6857, 1935, 547, 1565, 269, 2311, 519, 8998, 540, 713, 7634, 568, 519, 6268, 540, 519, 552, 19543, 1604, 267, 2523, 922, 3261, 520, 8864, 693, 519, 14987, 685, 1377, 585, 519, 11601, 540, 513, 1447, 4122, 6026, 1893, 267, 607, 1134, 607, 540, 519, 4116, 779, 1909, 538, 519, 1565, 1184, 269, 5015, 267, 519, 2164, 7000, 602, 6267, 685, 8456, 2509, 1565, 538, 2029, 22519, 2331, 1565, 5054, 10460, 2591, 547, 519, 6044, 540, 1447, 4122, 6026, 4654, 269, 4634, 1498, 1699, 3059, 2029, 3091, 2789, 3255, 585, 519, 5610, 540, 1007, 2923, 12331, 883, 1565, 2238, 267, 519, 3903, 540, 4143, 2923, 585, 519, 1565, 2796, 543, 6267, 685, 2841, 1878, 4667, 547, 2611, 835, 540, 519, 4116, 779, 1292, 9021, 269, 4429, 21122, 8313, 9768, 7818, 268, 272, 268, 3445, 279, 275, 1626, 268, 1839, 268, 275, 454, 3674, 851, 540, 8313, 309, 7860, 540, 24099, 1646, 2433, 9750, 267, 7393, 543, 3695, 2362, 2069, 1893, 1565, 454, 26397, 538, 1382, 1344, 1062, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 4537, 12976, 3688, 609, 2147, 2140, 610, 17161, 563, 298, 344, 653, 7238, 267, 17555, 630, 28495, 516, 585, 11930, 5678, 5525, 267, 2160, 540, 808, 344, 341, 7564, 12921, 2643, 7564, 267, 476, 1001, 275, 264, 17809, 4575, 513, 30070, 1565, 1604, 585, 1565, 513, 1447, 4122, 6026, 1893, 568, 513, 4161, 269, 15043, 2029, 267, 6848, 2242, 267, 5691, 10688, 543, 13033, 1711, 1007, 7569, 585, 3610, 543, 1053, 4429, 298, 344, 653, 7238, 267, 17555, 630, 17206, 540, 808, 344, 341, 7564, 12921, 2643, 7564, 267, 476, 1001, 278, 264, 763, 2832, 540, 713, 12031, 568, 547, 12235, 1769, 593, 519, 1646, 540, 3450, 543, 1565, 30355, 752, 538, 519, 1007, 1893, 1565, 1604, 269, 1715, 7835, 538, 3450, 3366, 547, 519, 1374, 540, 606, 8097, 552, 19543, 4429, 9288, 329, 6403, 553, 267, 4432, 13453, 630, 1001, 280, 264, 22296, 558, 612, 320, 593, 13545, 329, 3326, 320, 476, 1321, 4691, 330, 20041, 268, 2129, 329, 601, 2742, 320, 1094, 4275, 534, 14833, 527, 24652, 641, 7416, 601, 6359, 334, 4068, 267, 3675, 20811, 1566, 842, 19390, 523, 737, 1408, 328, 593, 1266, 331, 21468, 269, 15397, 330, 20041, 268, 2129, 329, 601, 332, 20811, 1566, 529, 651, 23932, 694, 330, 7564, 647, 558, 8403, 529, 807, 1696, 339, 7564, 737, 753, 664, 341, 7564, 5894, 328, 7564, 1566, 7416, 601, 6359, 334, 7534, 267, 795, 320, 646, 527, 7564, 19315, 10937, 822, 520, 2144, 559, 9820, 564, 4429, 291, 18860, 9366, 267, 25795, 6390, 630, 1001, 275, 264, 307, 583, 330, 574, 340, 802, 523, 512, 1046, 334, 15856, 802, 6511, 593, 13276, 341, 8636, 7564, 7564, 267, 5378, 523, 521, 7564, 327, 330, 7238, 626, 7564, 1727, 574, 529, 2096, 335, 7564, 2077, 7238, 7564, 795, 320, 1727, 574, 831, 807, 26515, 630, 518, 640, 529, 652, 328, 16677, 320, 14492, 281, 514, 1727, 574, 529, 2096, 335, 7564, 2077, 7238, 7564, 795, 320, 552, 14114, 11017, 1727, 1731, 597, 14765, 10937, 264, 737, 7564, 12682, 564, 7564, 7564, 333, 1566, 564, 340, 802, 612, 320, 267, 1728, 7238, 323, 2106, 6339, 7564, 7564, 333, 330, 7238, 562, 7564, 16582, 13545, 14765, 600, 807, 579, 639, 807, 4429, 22416, 767, 320, 267, 12756, 630, 1001, 277, 264, 309, 7398, 7699, 8932, 31463, 574, 529, 2096, 335, 7564, 2077, 7238, 339, 1196, 755, 822, 520, 647, 327, 974, 749, 17470, 579, 583, 3279, 1566, 28127, 14153, 9369, 320, 269, 715, 7564, 16582, 586, 5404, 7564, 2077, 7238, 329, 523, 647, 18365, 8636, 601, 1380, 320, 593, 1566, 564, 4157, 1088, 548, 607, 564, 9116, 340, 329, 523, 642, 320, 520, 574, 755, 523, 554, 340, 558, 1470, 574, 17470, 561, 529, 7564, 802, 328, 522, 548, 749, 16695, 586, 7825, 7564, 4135, 7564, 7564, 586, 802, 559, 7238, 333, 512, 822, 520, 737, 5803, 320, 795, 320, 586, 7825, 7564, 4135, 7564, 7564, 3267, 0, 1432, 616, 519, 21041, 16572, 538, 5607, 15017, 11514, 25068, 281, 634, 5467, 17358, 543, 26342, 602, 13786, 1043, 15536, 19072, 698, 6767, 595, 3559, 569, 568, 711, 513, 1876, 6109, 15828, 1177, 9807, 543, 1281, 711, 1683, 3656, 5796, 538, 4276, 609, 7395, 6767, 779, 7677, 5109, 540, 4930, 543, 1344, 827, 7834, 4031, 543, 6042, 269, 634, 5467, 4927, 5077, 609, 741, 3656, 8480, 607, 3617, 1354, 14045, 2436, 547, 957, 2390, 1344, 2854, 543, 4330, 538, 713, 2376, 563, 288, 7834, 1876, 568, 513, 29417, 267, 5293, 676, 513, 15424, 1560, 267, 602, 21560, 519, 4015, 267, 946, 267, 543, 23425, 540, 2123, 1344, 269, 9608, 1344, 568, 1022, 1344, 602, 666, 581, 1031, 547, 2697, 606, 1367, 269, 901, 2882, 2012, 267, 2232, 267, 4317, 8232, 1297, 267, 5491, 3556, 2338, 267, 543, 865, 593, 563, 7468, 643, 2329, 4031, 616, 2966, 547, 2149, 519, 1367, 779, 1318, 547, 7834, 676, 12145, 519, 1259, 538, 799, 2123, 1344, 666, 581, 6394, 267, 1031, 267, 543, 31889, 563, 288, 2754, 666, 2445, 267, 4558, 267, 1184, 610, 946, 1585, 1826, 540, 1344, 282, 711, 1152, 2123, 1344, 267, 585, 1383, 2883, 6898, 267, 14804, 4640, 4566, 267, 10838, 1866, 269, 1717, 267, 1152, 2123, 1344, 568, 14931, 896, 7834, 4031, 563, 29995, 952, 513, 2754, 6499, 547, 4558, 2123, 1344, 267, 621, 1590, 723, 513, 2601, 547, 798, 865, 630, 324, 3052, 1421, 519, 1367, 814, 2016, 9844, 585, 519, 2754, 547, 4558, 741, 1344, 1040, 1703, 616, 513, 1906, 1455, 4128, 1946, 513, 2754, 1131, 1616, 547, 4558, 2123, 1344, 912, 2414, 1683, 1732, 6075, 3028, 630, 324, 3052, 1421, 952, 519, 2754, 2115, 547, 3346, 519, 6075, 827, 606, 1931, 789, 5116, 994, 268, 1677, 3077, 18537, 610, 6725, 2326, 547, 1808, 5561, 454, 268, 1677, 16783, 609, 2229, 6042, 630, 324, 3052, 1421, 2883, 5238, 1590, 1832, 5638, 540, 782, 8852, 994, 268, 1677, 2061, 12611, 610, 3961, 17403, 454, 3963, 7834, 4031, 616, 1271, 888, 7468, 643, 2329, 4031, 616, 1271, 1317, 789, 948, 2149, 938, 2123, 1344, 2443, 1344, 602, 649, 949, 711, 1616, 1866, 547, 723, 1569, 547, 563, 2690, 1383, 267, 4952, 596, 4294, 585, 513, 10211, 2228, 269, 1403, 519, 561, 2658, 1223, 1294, 782, 540, 707, 824, 2228, 2534, 267, 789, 1522, 581, 2111, 547, 3313, 2436, 610, 711, 596, 2461, 2693, 547, 9949, 593, 519, 10211, 269, 2107, 952, 606, 16108, 1223, 1294, 707, 1514, 2923, 9708, 267, 789, 1522, 1205, 513, 2631, 585, 707, 2123, 1272, 630, 6518, 1223, 1764, 2436, 610, 711, 596, 2461, 21534, 1916, 7468, 643, 2329, 4031, 948, 2149, 938, 2123, 1344, 689, 1373, 15600, 543, 1031, 538, 2081, 602, 649, 949, 711, 1616, 621, 547, 581, 1031, 563, 4517, 602, 779, 1946, 789, 2461, 865, 1271, 2336, 9989, 1169, 2197, 538, 519, 1158, 723, 513, 7834, 1876, 15017, 17843, 2477, 723, 1114, 7834, 4031, 269, 4107, 2919, 2477, 723, 930, 1106, 540, 7834, 1876, 538, 1747, 547, 2149, 4961, 685, 2123, 1344, 563, 2690, 1383, 267, 519, 2136, 2276, 814, 519, 21041, 2920, 540, 476, 3192, 275, 267, 799, 3340, 5313, 8041, 547, 2149, 2043, 685, 2123, 1344, 689, 18977, 23930, 269, 634, 21041, 2920, 540, 476, 3192, 275, 267, 607, 29567, 267, 476, 276, 772, 2529, 5861, 269, 19926, 476, 4649, 273, 320, 267, 20964, 513, 3009, 540, 4023, 1344, 2853, 602, 1754, 985, 519, 4015, 267, 5826, 267, 946, 267, 543, 23425, 540, 1344, 827, 2043, 602, 568, 9738, 538, 1949, 540, 5638, 676, 5313, 8041, 269, 1656, 519, 3864, 5742, 814, 519, 4937, 4578, 10466, 19938, 630, 294, 7894, 305, 1070, 799, 21560, 875, 2123, 1239, 666, 581, 6394, 267, 1031, 267, 543, 3838, 676, 3549, 7231, 609, 9167, 7264, 685, 1239, 269, 634, 12654, 305, 568, 513, 9167, 1239, 4027, 1876, 602, 3357, 883, 1198, 593, 2904, 476, 1839, 267, 476, 1001, 279, 269, 634, 12654, 305, 30283, 519, 476, 1960, 276, 9167, 4578, 10466, 6034, 633, 269, 898, 18791, 9167, 1239, 4027, 3652, 676, 4758, 2043, 811, 1852, 936, 741, 2123, 1239, 267, 543, 9591, 1007, 2924, 585, 2043, 269, 7201, 519, 12654, 305, 267, 782, 3906, 602, 1184, 519, 2123, 1239, 540, 9167, 7264, 1590, 16783, 609, 1808, 6042, 269, 1452, 6042, 1331, 13844, 9844, 689, 2043, 1354, 10655, 610, 4393, 741, 2123, 1239, 267, 26655, 2043, 827, 741, 2924, 896, 12654, 305, 267, 543, 6966, 532, 513, 4578, 10466, 20229, 630, 7894, 302, 264, 896, 1978, 6381, 269, 20871, 602, 3111, 547, 16783, 609, 12654, 305, 666, 581, 535, 1441, 909, 547, 476, 275, 260, 540, 741, 2518, 5993, 8907, 610, 24843, 736, 2929, 630, 3369, 31295, 568, 3152, 1916, 15389, 856, 540, 476, 3707, 2477, 1185, 2322, 538, 1747, 9086, 547, 5150, 519, 4027, 540, 1239, 543, 7834, 269, 4000, 543, 5607, 1397, 1114, 1377, 540, 10073, 609, 476, 8618, 543, 476, 6872, 829, 1298, 540, 2477, 2348, 7550, 971, 9777, 725, 269, 634, 2671, 538, 519, 2547, 2919, 2477, 538, 1152, 476, 4366, 829, 1298, 269, 1496, 13126, 281, 4179, 2517, 9417, 611, 3820, 270, 2457, 7933, 1092, 3491, 339, 1254, 7146, 17376, 643, 2329, 268, 5586, 529, 3175, 8996, 4204, 316, 1924, 9811, 267, 1169, 2197, 1281, 711, 8209, 723, 513, 7834, 1876, 267, 855, 1034, 2919, 2477, 798, 723, 930, 4990, 540, 1876, 538, 1747, 547, 2149, 741, 4961, 685, 2123, 1344, 563, 10287, 803, 593, 12108, 585, 811, 10311, 827, 3354, 543, 7834, 912, 1432, 827, 7834, 4031, 538, 5607, 888, 4131, 779, 1376, 609, 14135, 563, 763, 9608, 4578, 10466, 2920, 630, 11520, 5183, 264, 540, 14135, 729, 3964, 538, 476, 1001, 274, 593, 476, 273, 3967, 340, 541, 267, 1247, 621, 729, 3323, 538, 476, 1001, 273, 269, 634, 1699, 4528, 607, 829, 519, 476, 1724, 628, 540, 4989, 476, 1708, 273, 568, 7396, 1934, 269, 898, 5036, 856, 519, 2666, 3652, 593, 875, 14540, 949, 2445, 267, 946, 610, 30035, 968, 26051, 1239, 6100, 634, 19113, 5183, 6227, 1022, 1344, 602, 666, 581, 1031, 547, 2697, 606, 1367, 267, 971, 607, 2012, 267, 3346, 3877, 267, 8446, 2338, 267, 8523, 543, 4757, 2232, 563, 763, 19113, 5183, 3340, 14540, 547, 1491, 3268, 547, 2149, 2123, 1239, 689, 796, 10461, 2213, 1569, 267, 4015, 267, 946, 267, 23930, 610, 9552, 269, 1358, 1590, 849, 2322, 538, 1747, 3800, 547, 2327, 602, 519, 2123, 1239, 568, 4977, 267, 2347, 543, 909, 3562, 15082, 269, 14936, 267, 789, 1590, 1217, 2043, 827, 741, 2924, 896, 519, 19113, 5183, 543, 3343, 9844, 1354, 10655, 267, 1210, 610, 12607, 3151, 563, 5415, 1344, 593, 519, 4013, 623, 7894, 290, 3896, 281, 4179, 2517, 4178, 4877, 31389, 322, 10993, 4732, 326, 13045, 4131, 779, 1174, 3127, 779, 7834, 6042, 3460, 563, 4407, 972, 568, 1100, 6131, 7834, 1876, 538, 3127, 602, 568, 4625, 24451, 267, 519, 2197, 1281, 723, 513, 1297 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 11153, 2249, 540, 3165, 2661, 538, 513, 4928, 16983, 269, 4841, 5469, 602, 519, 575, 1571, 540, 835, 1826, 540, 3165, 1847, 5488, 982, 519, 575, 1571, 540, 519, 824, 3165, 269, 6904, 540, 891, 6898, 568, 519, 1655, 8367, 593, 713, 8343, 888, 12585, 281, 12551, 991, 1114, 5666, 540, 5135, 269, 0, 9223, 281, 1548, 729, 519, 4050, 2012, 540, 519, 2110, 1650, 5856, 670, 670, 16189, 549, 888, 12585, 281, 554, 554, 544, 684, 549, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 17681, 2370, 3504, 24414, 2879, 1251, 9934, 27576, 834, 536, 834, 3504, 24414, 2879, 1251, 9934, 2370, 17681, 27576, 834, 15017, 288, 281, 513, 0, 9223, 281, 1411, 949, 1589, 267, 6070, 568, 1175, 513, 2241, 5986, 3693, 649, 21199, 593, 938, 1426, 585, 513, 2370, 3063, 6492, 269, 1809, 6070, 568, 1454, 811, 982, 602, 269, 9453, 6070, 938, 6091, 1131, 711, 1847, 269, 3776, 8401, 1949, 1131, 711, 7500, 269, 3776, 12271, 1131, 711, 10726, 269, 1809, 798, 711, 1589, 27012, 6070, 538, 513, 10138, 786, 948, 269, 23560, 602, 1131, 581, 11213, 543, 711, 12115, 519, 10138, 269, 1677, 6299, 6070, 538, 513, 10138, 568, 606, 18986, 558, 602, 1797, 547, 3483, 2685, 1118, 513, 3983, 3510, 8338, 269, 7216, 3425, 3893, 519, 6070, 789, 2877, 547, 3251, 9800, 689, 519, 2831, 789, 7166, 269, 1809, 8441, 538, 6683, 3366, 547, 513, 2732, 1970, 538, 6070, 269, 1924, 267, 3425, 2877, 547, 1265, 824, 2959, 269, 8409, 945, 5030, 2282, 519, 5836, 610, 824, 2067, 2959, 585, 6070, 941, 18822, 269, 8409, 945, 1705, 711, 1185, 547, 4123, 585, 6070, 269, 769, 1249, 267, 1004, 1031, 6070, 607, 513, 1505, 540, 8569, 538, 1082, 2694, 540, 519, 3504, 1158, 269, 634, 2262, 834, 15680, 776, 257, 2501, 689, 519, 2262, 834, 338, 5306, 2668, 17865, 849, 5129, 606, 1271, 851, 538, 2551, 3350, 543, 1158, 3408, 269, 10812, 3464, 6956, 602, 952, 789, 1223, 1832, 1426, 4195, 267, 16269, 1223, 2951, 3476, 9883, 269, 1924, 789, 1031, 6070, 547, 8190, 1426, 543, 8268, 519, 1158, 269, 17865, 729, 865, 1271, 602, 267, 2687, 547, 1426, 12206, 269, 621, 729, 21775, 11013, 16519, 1790, 895, 585, 4154, 269, 4653, 267, 1004, 1869, 946, 519, 7215, 834, 1729, 581, 4502, 835, 781, 6070, 257, 610, 834, 10290, 835, 781, 2597, 538, 6070, 2668, 634, 7215, 4766, 513, 1268, 540, 1871, 269, 589, 1268, 1522, 849, 581, 1572, 6070, 540, 519, 3618, 269, 2334, 6609, 1797, 646, 610, 1352, 568, 4096, 762, 543, 22973, 269, 1717, 267, 950, 596, 2161, 834, 296, 1589, 649, 1058, 1491, 1018, 646, 1767, 609, 513, 10286, 540, 6070, 257, 596, 1611, 596, 3398, 621, 855, 2226, 513, 4110, 540, 8969, 827, 922, 5168, 269, 589, 581, 1375, 541, 781, 3694, 729, 21687, 2063, 3781, 1421, 6518, 1797, 476, 9041, 476, 4586, 288, 269, 6070, 540, 519, 3618, 454, 289, 269, 27012, 6070, 538, 513, 10138, 454, 290, 269, 513, 2732, 1970, 538, 6070, 454, 291, 269, 4502, 1010, 6070, 454, 12585, 281, 645, 0, 454, 9223, 281, 834, 2080, 2501, 513, 9985, 4570, 4661, 281, 3689, 540, 782, 267, 1373, 606, 12146, 540, 595, 2642, 769, 700, 864, 568, 6190, 585, 1373, 606, 12146, 540, 24006, 1722, 631, 2444, 4673, 269, 8921, 267, 8726, 568, 9444, 606, 12146, 540, 16685, 1744, 20760, 630, 293, 11170, 264, 6862, 606, 12146, 540, 631, 6242, 923, 568, 606, 12146, 540, 595, 2642, 769, 700, 864, 269, 1284, 949, 9959, 602, 8726, 568, 9039, 540, 713, 281, 606, 12146, 540, 16685, 1744, 20760, 630, 293, 11170, 264, 610, 12146, 540, 631, 6242, 923, 267, 568, 606, 12146, 540, 24006, 1722, 631, 2444, 4673, 4799, 1772, 519, 4661, 267, 2016, 519, 12799, 7150, 22402, 267, 20952, 1947, 4570, 610, 23380, 888, 476, 932, 7860, 281, 3097, 288, 269, 4570, 454, 289, 269, 23380, 454, 12585, 281, 589, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 21083, 4401, 12357, 5556, 565, 3150, 21489, 834, 536, 834, 12357, 21083, 5556, 565, 3150, 4401, 21489, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 21298, 267, 1082, 6300, 11825, 8359, 547, 2057, 519, 21173, 24921, 543, 798, 741, 9702, 10918, 689, 519, 4313, 540, 741, 2780, 2529, 2297, 693, 2228, 8637, 6591, 676, 811, 982, 476, 1428, 9077, 1818, 621, 519, 7887, 4005, 2479, 269, 3719, 1004, 616, 849, 13059, 1346, 16306, 693, 2594, 3928, 267, 909, 476, 279, 260, 689, 2063, 1032, 269, 1548, 4682, 4636, 286, 1772, 519, 14692, 540, 519, 2518, 2883, 6433, 1818, 621, 9875, 547, 3398, 7050, 8213, 286, 2107, 602, 1004, 6300, 811, 791, 6160, 1947, 476, 4534, 663, 4061, 1118, 3983, 3664, 4534, 15290, 2228, 286, 5637, 7440, 616, 9583, 10257, 269, 4913, 267, 972, 568, 513, 3791, 3815, 281, 513, 2243, 540, 5905, 269, 2171, 666, 2648, 630, 12340, 1413, 855, 267, 538, 606, 2228, 1604, 267, 649, 3112, 1745, 519, 2298, 540, 513, 9403, 476, 2073, 519, 3337, 540, 519, 3514, 267, 519, 2887, 540, 513, 16784, 610, 267, 585, 602, 2339, 267, 519, 2597, 540, 606, 1274, 2590, 269, 4517, 9308, 15025, 609, 606, 1843, 2306, 596, 811, 8149, 547, 707, 6718, 269, 1879, 1250, 1034, 2487, 1433, 15952, 13195, 1117, 729, 5950, 267, 594, 8678, 909, 609, 513, 2199, 21869, 648, 547, 2932, 606, 4603, 827, 519, 3017, 1063, 519, 2228, 543, 22356, 10918, 1995, 15660, 5402, 25009, 513, 1895, 540, 13538, 547, 3895, 1250, 1433, 538, 1079, 1114, 2081, 7868, 1101, 729, 513, 9425, 3946, 11325, 1935, 269, 12640, 6866, 513, 6075, 1131, 2307, 827, 1250, 1433, 267, 519, 15321, 1131, 1491, 873, 936, 547, 519, 15808, 543, 1448, 547, 621, 269, 11073, 540, 476, 736, 971, 13668, 267, 3670, 5561, 1500, 519, 6718, 269, 634, 2034, 4781, 849, 3238, 2469, 936, 547, 519, 15808, 855, 267, 713, 942, 267, 9427, 519, 1433, 543, 1287, 8066, 5196, 621, 585, 1175, 606, 3063, 4090, 1354, 11093, 621, 538, 519, 6075, 781, 3946, 269, 8170, 519, 476, 736, 1004, 945, 941, 19942, 519, 1433, 267, 476, 1724, 8694, 909, 9140, 621, 269, 9617, 9308, 8429, 519, 1433, 4951, 513, 2462, 3017, 538, 6455, 269, 3963, 286, 1284, 1745, 1945, 2147, 547, 513, 2631, 540, 9562, 950, 649, 3180, 1919, 538, 938, 1688, 269, 6546, 781, 1946, 649, 3715, 4276, 676, 28551, 21046, 543, 2828, 609, 513, 3946, 327, 820, 16638, 713, 2013, 267, 2348, 547, 1287, 1577, 979, 540, 519, 1433, 1310, 8066, 621, 1522, 3132, 513, 2631, 540, 2530, 267, 543, 18663, 721, 547, 1118, 519, 6718, 1256, 811, 269, 589, 2487, 1353, 849, 4951, 519, 1379, 540, 5905, 267, 538, 713, 2013, 950, 621, 3357, 547, 2757, 13875, 6993, 4514, 543, 3476, 18835, 12705, 540, 513, 5048, 729, 4646, 950, 9447, 2192, 513, 4484, 267, 607, 10353, 547, 8391, 519, 1482, 5048, 2228, 11065, 1778, 2592, 4951, 602, 267, 593, 15700, 519, 1957, 267, 519, 3929, 4099, 540, 519, 2634, 729, 15181, 267, 3976, 8108, 513, 6793, 6125, 7868, 1353, 849, 8612, 602, 2899, 5905, 3587, 851, 540, 519, 1184, 267, 621, 1223, 14377, 883, 513, 2631, 540, 15896, 269, 476, 901, 2631, 540, 9562, 568, 3274, 711, 851, 540, 519, 3510, 538, 519, 2228, 10918, 1995, 269, 4208, 798, 1004, 4782, 10918, 2228, 2687, 547, 519, 2278, 888, 288, 269, 898, 17990, 873, 513, 2603, 540, 2724, 543, 942, 563, 289, 269, 898, 568, 811, 6899, 543, 10375, 563, 290, 269, 898, 3091, 873, 513, 2603, 811, 3681, 543, 20476, 1622, 563, 291, 269, 898, 3947, 873, 811, 942, 547, 1589, 827, 741, 6718, 563, 12585, 281, 645, 0, 9223, 281, 3624, 568, 519, 7887, 2344, 538, 519, 1158, 267, 543, 1082, 2477, 971, 607, 5125, 267, 519, 7330, 267, 519, 5177, 543, 6576, 798, 513, 2603, 540, 1870, 538, 3624, 269, 2913, 781, 723, 513, 1413, 693, 930, 1271, 4388, 547, 948, 596, 581, 3811, 950, 7231, 609, 891, 3084, 885, 269, 3689, 267, 596, 1590, 581, 14047, 783, 567, 609, 16586, 269, 4634, 476, 276, 3764, 3735, 2306, 513, 3983, 12705, 269, 9861, 14047, 783, 568, 849, 1360, 1271, 538, 519, 7330, 269, 769, 519, 5177, 267, 621, 781, 1271, 547, 581, 14047, 783, 585, 1870, 11401, 267, 855, 18864, 26770, 596, 547, 581, 593, 942, 585, 513, 1514, 2680, 269, 21009, 2250, 5722, 2731, 1797, 513, 10116, 547, 5216, 267, 610, 1256, 5216, 522, 262, 22018, 256, 2060, 28592, 267, 596, 1058, 2141, 581, 593, 942, 267, 1498, 621, 568, 711, 8966, 585, 873, 547, 581, 835, 610, 1256, 1079, 3108, 3735, 256, 898, 568, 1655, 547, 10571, 18005, 543, 5957, 4158, 15437, 950, 596, 2743, 1004, 689, 782, 519, 2185, 2477, 269, 769, 6576, 267, 14704, 9660, 616, 1360, 1455, 269, 5213, 1405, 581, 14281, 952, 596, 979, 547, 606, 5604, 538, 519, 5177, 593, 513, 11016, 543, 1265, 3025, 9849, 14247, 753, 269, 3509, 3549, 723, 834, 323, 816, 1524, 11016, 2580, 950, 1004, 5957, 13680, 567, 9660, 269, 769, 5125, 267, 1101, 4408, 616, 1152, 1031, 676, 1920, 2818, 543, 2673, 2828, 267, 865, 581, 5423, 547, 946, 10643, 543, 2063, 4408, 269, 769, 519, 7330, 596, 786, 2356, 581, 14376, 547, 946, 1101, 4408, 3592, 5612, 269, 634, 3703, 616, 3833, 13016, 543, 1210, 1101, 4408, 538, 1870, 568, 811, 543, 811, 1455, 267, 2523, 1851, 7820, 1004, 269, 769, 6576, 267, 2705, 267, 18864, 3096, 1101, 4408, 267, 865, 946, 10643, 543, 2063, 4408, 269, 769, 6643, 267, 519, 3703, 543, 519, 4892, 1871, 1208, 712, 267, 543, 1312, 899, 547, 2911, 827, 7328, 269, 634, 4365, 568, 849, 513, 1434, 1888, 540, 6643, 609, 519, 3703, 543, 519, 4892, 267, 855, 2057, 6158, 827, 6214, 269, 769, 6576, 267, 2161, 2318, 1919, 827, 741, 2197, 267, 855, 2057, 1818, 20286, 269, 634, 16586, 267, 2705, 267, 4782, 547, 1205, 2786, 1524, 547, 1870, 256, 1924, 267, 946, 891, 4388, 267, 543, 596, 786, 581, 593, 707, 1259, 547, 513, 3811, 3486, 1870, 4876, 256, 1879, 596, 2911, 547, 513, 6739, 267, 596, 666, 567, 9041, 476, 4586, 288, 269, 29153, 827, 1945, 454, 289, 269, 2161, 1945, 2942, 827, 1010, 2197, 454, 290, 269, 2161, 1945, 1434, 827, 1010, 2197, 454, 291, 269, 1448, 856, 930, 11393, 538, 6214, 454, 12585, 281, 595, 0, 9223, 281, 589, 2328, 2987, 11134, 568, 513, 11204, 12677, 543, 568, 540, 519, 6644, 602, 646, 2115, 513, 1804, 2490, 719, 540, 11204, 17037, 538, 1931, 547, 3094, 519, 9550, 269, 1306, 513, 1267, 267, 1010, 5859, 9614, 267, 16976, 547, 13875, 547, 1169, 10805, 11204, 28056, 513, 15237, 11325, 6529, 518, 267, 799, 12217, 519, 11134, 781, 2012, 543, 5604, 585, 799, 646, 568, 4881, 269, 4595, 1082, 5065, 11204, 1004, 616, 711, 21295, 538, 2542, 543, 1603, 2296, 267, 519, 5859, 9614, 11099, 602, 1082, 540, 519, 17037, 786, 723, 7411, 1603, 519, 11134, 781, 2012, 543, 5604, 593, 519, 3440, 582, 269, 1306, 513, 1267, 267, 519, 5859, 9614, 814, 15841, 606, 3573, 2923, 5859, 547, 1217, 17037, 593, 875, 547, 4019, 519, 29654, 547, 519, 3440, 582, 269, 12866, 3275, 1991, 547, 519, 9550, 606, 9550, 4013, 711, 5809, 519, 11134, 781, 5859, 12233, 602, 519, 15237, 11325, 29654, 798, 711, 16783, 609, 519, 1533, 29417, 269, 769, 1200, 4484, 267, 519, 4013, 6941, 602, 1533, 9550, 8387, 616, 540, 519, 6644, 602, 621, 568, 2556, 585, 1761, 17037, 547, 2328, 519, 11134, 781, 2012, 538, 13504, 269, 4475, 267, 1352, 20147, 602, 519, 29654, 798, 711, 16783, 609, 27152, 4170, 269, 8422, 4374, 2663, 267, 519, 11134, 19429, 9290, 538, 5313, 8664, 5480, 1996, 1533, 9550, 8387, 19101, 602, 741, 7664, 540, 519, 1533, 29417, 3423, 919, 519, 772, 269, 590, 269, 9139, 269, 6904, 540, 519, 1739, 267, 952, 3964, 267, 5036, 8521, 519, 16999, 13338, 4661, 5885, 519, 9550, 4013, 781, 7664, 540, 519, 29417, 888, 288, 269, 966, 582, 518, 2490, 719, 1851, 10805, 11204, 1977, 17037, 945, 3668, 15334, 538, 2296, 814, 1044, 1447, 982, 476, 272, 260, 540, 519, 3003, 1533, 2698, 538, 2487, 12836, 563, 289, 269, 589, 1533, 29417, 3340, 602, 1142, 13359, 1630, 1054, 581, 9280, 609, 606, 13504, 4050, 547, 7520, 519, 1603, 538, 540, 16018 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 19176, 538, 519, 5087, 543, 5045, 8661, 570, 17554, 379, 339, 454, 763, 1651, 1619, 568, 8781, 267, 536, 17505, 327, 669, 386, 364, 978, 616, 14495, 267, 519, 23017, 9269, 568, 1434, 547, 979, 267, 543, 519, 22269, 32395, 616, 4712, 547, 16036, 269, 901, 568, 513, 6429, 5129, 856, 538, 19176, 10820, 2066, 519, 2197, 593, 519, 552, 557, 540, 570, 17554, 379, 339, 267, 610, 10476, 779, 30803, 1715, 5729, 9702, 563, 2690, 1346, 711, 1932, 5432, 609, 570, 17554, 379, 339, 16873, 267, 621, 568, 606, 5993, 9702, 9976, 593, 519, 1101, 1554, 540, 519, 16264, 11706, 269, 4706, 11812, 1419, 8813, 538, 3735, 5130, 610, 2038, 5988, 267, 2394, 519, 3791, 1554, 563, 4407, 519, 9702, 568, 519, 2197, 779, 7887, 2757, 11812, 267, 972, 616, 1713, 3604, 538, 519, 2081, 19176, 1004, 8661, 621, 269, 2913, 779, 1491, 513, 1413, 693, 519, 2081, 570, 17554, 379, 339, 267, 2853, 543, 9821, 8428, 1851, 8828, 543, 8832, 19176, 563, 272, 269, 570, 17554, 379, 339, 6752, 5673, 593, 938, 16374, 454, 310, 1301, 9660, 585, 570, 17554, 379, 339, 538, 519, 5087, 454, 15862, 5491, 281, 7711, 332, 23186, 978, 454, 4407, 8832, 10476, 19646, 4411, 24475, 543, 2834, 11811, 338, 1282, 713, 942, 540, 519, 1032, 267, 8828, 10476, 1869, 2833, 7646, 13566, 2395, 563, 11764, 1067, 7802, 585, 570, 17554, 379, 339, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 701, 321, 777, 9078, 913, 569, 454, 1607, 568, 1946, 8832, 19176, 5734, 519, 10754, 538, 15985, 956, 540, 13544, 1115, 543, 10077, 1407, 267, 1247, 8828, 19176, 616, 1869, 804, 611, 538, 4832, 9660, 610, 513, 334, 546, 2967, 563, 273, 269, 22216, 787, 32395, 538, 519, 5087, 267, 3284, 878, 582, 5810, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 332, 23186, 978, 454, 18814, 547, 3604, 538, 16374, 267, 519, 5810, 1031, 585, 7622, 23598, 616, 849, 1114, 563, 15862, 5491, 281, 7711, 745, 6798, 269, 638, 2106, 7315, 327, 454, 2690, 6502, 267, 22269, 32395, 723, 1044, 519, 8768, 540, 3903, 585, 7622, 23598, 538, 519, 5087, 1282, 519, 570, 17554, 379, 339, 9702, 269, 634, 4527, 540, 713, 11599, 8768, 568, 2141, 2404, 609, 519, 4098, 540, 513, 1007, 1032, 563, 15862, 5491, 281, 7711, 514, 3336, 318, 1372, 14585, 454, 294, 27172, 609, 513, 5835, 512, 842, 543, 608, 24851, 513, 3636, 642, 32079, 267, 3284, 878, 582, 5810, 2099, 519, 7524, 1648, 540, 590, 719, 615, 2996, 543, 519, 3636, 2916, 540, 713, 2244, 540, 24106, 269, 1280, 713, 2601, 267, 3284, 878, 1824, 616, 519, 1034, 4122, 2938, 5810, 538, 590, 719, 615, 2996, 685, 10820, 1282, 519, 30803, 1715, 5729, 563, 274, 269, 10965, 22326, 593, 536, 17505, 327, 669, 386, 364, 978, 538, 519, 5087, 267, 543, 536, 17505, 327, 512, 18863, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 13700, 836, 978, 8500, 523, 11011, 339, 331, 327, 335, 454, 7628, 519, 30803, 1715, 5729, 31054, 267, 17368, 615, 2996, 3548, 536, 17505, 327, 669, 386, 364, 978, 267, 610, 669, 386, 364, 978, 25394, 267, 1247, 590, 719, 615, 2996, 3548, 536, 17505, 327, 512, 18863, 267, 610, 512, 18863, 25394, 267, 799, 616, 2757, 30018, 8286, 563, 13828, 25394, 616, 1500, 689, 22965, 29532, 7573, 543, 4904, 609, 2241, 5820, 971, 607, 544, 2426, 10365, 267, 1295, 1027, 20230, 267, 543, 19637, 563, 15862, 5491, 281, 7711, 339, 2426, 19049, 269, 4777, 454, 763, 1292, 3017, 1063, 891, 25394, 6013, 538, 741, 5546, 543, 7306, 269, 13507, 1944, 519, 4396, 5748, 540, 519, 3047, 267, 536, 17505, 327, 669, 386, 364, 978, 2141, 3217, 593, 25921, 4009, 5546, 563, 15862, 5491, 281, 7711, 3832, 325, 318, 628, 8500, 318, 874, 600, 454, 289, 17505, 327, 512, 18863, 267, 593, 519, 824, 1688, 267, 616, 1500, 538, 20425, 5546, 543, 540, 4130, 7306, 563, 15862, 5491, 281, 7711, 30501, 784, 16223, 4512, 454, 4407, 1034, 3885, 2221, 1931, 30018, 25394, 9447, 547, 741, 7450, 25074, 585, 570, 17554, 379, 339, 16873, 547, 4688, 942, 267, 1082, 1866, 1869, 1246, 519, 2245, 540, 11018, 1927, 547, 3434, 891, 25394, 2933, 563, 275, 269, 7756, 1590, 3620, 1511, 570, 17554, 379, 339, 8286, 593, 519, 1101, 1554, 540, 519, 1007, 1032, 454, 763, 8286, 12286, 593, 519, 3349, 540, 513, 8832, 7622, 267, 1519, 13792, 20230, 609, 4584, 956, 267, 932, 386, 364, 978, 14735, 267, 2620, 1922, 3072, 5614, 20061, 267, 9269, 267, 543, 20202, 7573, 563, 15862, 5491, 281, 7711, 337, 644, 2421, 318, 14378, 271, 454, 1103, 519, 5087, 267, 519, 1101, 7594, 540, 519, 1007, 1032, 2356, 2934, 2757, 8286, 971, 607, 13792, 20230, 609, 4584, 956, 630, 628, 12782, 489, 339, 17487, 495, 20110, 978, 546, 386, 364, 320, 669, 7699, 264, 543, 536, 17505, 327, 669, 386, 364, 978, 267, 1247, 519, 1101, 7594, 538, 519, 5045, 2141, 5161, 540, 2909, 2213, 20230, 543, 21868, 5798, 630, 628, 12782, 489, 339, 737, 14833, 554, 12782, 503, 339, 642, 12782, 489, 339, 264, 543, 536, 17505, 327, 512, 18863, 563, 303, 580, 2960, 17339, 454, 15862, 5491, 281, 7711, 4802, 26387, 25988, 323, 10706, 454, 2690, 17339, 267, 17368, 615, 2996, 1118, 6477, 2960, 17339, 630, 4754, 327, 536, 6759, 978, 555, 17554, 352, 1070, 513, 14312, 543, 6653, 2389, 8463, 8670, 1500, 689, 6477, 2960, 267, 22282, 267, 17228, 267, 543, 20230, 3501, 585, 513, 669, 11035, 1007, 1032, 779, 552, 557, 563, 24154, 2213, 20230, 543, 21868, 5798, 543, 15280, 5283, 517, 17339, 454, 15862, 5491, 281, 7711, 6652, 1014, 1962, 534, 454, 19602, 267, 590, 719, 615, 2996, 3442, 513, 17339, 8670, 602, 666, 1406, 581, 1022, 811, 1114, 1107, 15280, 11993, 17339, 609, 20230, 630, 4754, 327, 737, 327, 12782, 499, 844, 320, 1040, 2755, 713, 8670, 568, 1634, 585, 922, 726, 550, 3814, 1072, 2640, 971, 607, 4227, 4835, 1560, 3002, 543, 10970, 11868, 3987, 2589, 267, 621, 779, 849, 26526, 15280, 543, 2182, 547, 3548, 585, 1082, 17368, 615, 2996, 685, 5493, 919, 563, 763, 8286, 12286, 593, 519, 3349, 540, 513, 7187, 7622, 267, 1519, 2909, 2213, 20230, 543, 21868, 5798, 543, 15280, 5283, 517, 17339, 454, 15862, 5491, 281, 7711, 548, 548, 318, 7079, 548, 454, 763, 1913, 15280, 11993, 630, 16223, 12782, 499, 844, 320, 1070, 3280, 899, 20408, 519, 7092, 538, 19176, 267, 543, 3976, 1129, 4328, 590, 719, 615, 2996, 685, 7287, 547, 4365, 519, 15420, 540, 519, 2025, 1032, 543, 4434, 883, 519, 1007, 609, 1732, 9939, 563, 276, 269, 7756, 855, 8449, 8949, 2947, 1922, 8816, 911, 903, 454, 15862, 5491, 281, 7711, 651, 558, 583, 280, 1839, 454, 26668, 1922, 8816, 911, 903, 616, 513, 1455, 8289, 593, 519, 5621, 1513, 540, 19176, 10820, 1282, 570, 17554, 379, 339, 16873, 269, 589, 26745, 5161, 540, 2947, 5613, 540, 1114, 4778, 267, 1129, 4328, 519, 1920, 779, 7287, 585, 519, 1007, 1032, 563, 288, 4829, 26745, 538, 519, 5087, 3335, 2934, 19337, 267, 18812, 325, 21209, 267, 24453, 267, 1086, 9404, 976, 267, 8126, 518, 1149, 267, 737, 636, 638, 1846, 267, 610, 533, 8986, 563, 1432, 596, 2356, 1294, 593, 519, 4829, 26745, 540, 513, 8828, 1920, 2882, 9279, 517, 7491, 267, 5283, 976, 267, 13099, 11535, 267, 27335, 267, 543, 4453, 338, 563, 15862, 5491, 281, 7711, 335, 665, 1695, 2632, 553, 318, 653, 454, 306, 719, 615, 2996, 723, 513, 4356, 540, 9319, 1210, 8286, 610, 5613, 602, 3280, 2147, 547, 1913, 609, 2942, 25664, 725, 269, 1280, 1383, 267, 590, 719, 615, 2996, 1810, 1406, 2322, 20397, 593, 741, 911, 903, 1317, 519, 2262, 585, 20397, 630, 32627, 12782, 495, 328, 264, 4992, 2147, 547, 669, 14243, 328, 562, 327, 12782, 356, 328, 267, 2495, 14286, 269, 17368, 615, 2996, 267, 593, 519, 824, 1688, 267, 4225, 11093, 513, 19337, 593, 519, 26745, 1317, 922, 17208, 7475, 2099, 4027, 543, 5430, 1465, 563, 277, 269, 7756, 570, 17554, 379, 339, 13121, 543, 1810, 685, 1206, 547, 2327, 1434, 9939, 454, 15862, 5491, 281, 1990, 345, 10212, 6230, 580, 698, 454, 301, 677, 615, 2996, 4043, 547, 581, 1360, 16496, 827, 519, 1101, 1268, 547, 4283, 741, 5321, 593, 519, 1101, 1554, 540, 519, 1032, 269, 634, 835, 2808, 5078, 547, 4283, 519, 2777, 1590, 581, 15095, 609, 519, 1753, 26782, 538, 2474, 540, 4332, 7389, 543, 1990, 31821, 4191, 267, 543, 1590, 711, 581, 2469, 998, 1022, 31366, 1974, 563, 15862, 5491, 281, 7711, 577, 1731, 2129, 727, 318, 833, 320, 454, 16449, 824, 1919, 547, 2057, 2882, 2921, 856, 519, 17885, 267, 799, 568, 2808, 513, 2530, 540, 2724, 543, 2640, 269, 27915, 3349, 2264, 568, 849, 9184, 5622, 1317, 621, 23327, 9668, 563, 24916, 267, 1004, 616, 849, 15695, 1996, 23831, 3595, 547, 2576, 3116, 547, 2057, 9688, 532, 741, 9939, 267, 543, 849, 9319, 23831, 1866, 1216, 267, 799, 568, 513, 3090, 540, 13884, 563, 15862, 5491, 281, 7711, 331, 329, 333, 5652, 454, 306, 719, 615, 2996, 3494, 602, 9561, 2156, 558, 560, 6506, 593, 519, 1101, 1554, 540, 519, 1007, 1032, 786, 1267, 538, 7928, 2638, 15564, 676, 555, 773, 1407, 538, 741, 5321, 269, 4935, 267, 590, 719, 615, 2996, 723, 1305, 513, 4341, 540, 8380, 2476, 2156, 558, 560, 6506, 538, 513, 17956, 1747, 1318, 1310, 840, 6874, 17554, 379, 339, 7738, 563, 278, 269, 11370, 3539, 5810, 689, 21527, 538, 519, 5087, 543, 6990, 538, 519, 5045, 454, 15862, 5491, 281, 7711, 332, 559, 643, 16695, 454, 295, 8457, 328, 568, 835, 540, 519, 1906, 4025, 538, 10476, 1141, 596, 1869, 1294, 7899, 540, 8768, 21527, 2267, 2358, 519, 2749, 593, 30158, 547, 6133, 4195, 5810, 563, 15862, 5491, 281, 7711, 874, 520, 5611, 272, 454, 2690, 713, 2601, 267, 1034, 670, 8457, 2103, 1810, 1406, 979, 547, 8768, 6990, 610, 8768, 15945, 547, 4444, 5810, 585, 570, 17554, 379, 339, 16873, 269, 2353, 789, 723, 547, 798, 568, 547, 7227, 2394, 513, 4351, 8768, 29449, 10596, 676, 547, 6718, 5810, 610, 979, 547, 1022, 4351, 8265, 8768, 21527, 7404, 563, 288, 8768, 588, 718, 538, 14208, 774, 328, 19109, 10369, 454, 15862, 5491, 281, 7711, 323, 1014, 5976, 331, 913, 454, 306, 320, 580, 517, 7264, 267, 593, 519, 14669, 267, 2356, 979, 547, 6990, 6131, 547, 5810, 585, 570, 17554, 379, 339, 5810, 543, 2371, 269, 7324, 519, 1034, 4749, 10272, 8768, 6990, 1851, 15223, 580, 517, 7264, 1331, 14208, 774, 328, 19109, 10369, 538, 10588, 476, 1015, 543, 12456, 7354, 10369, 538, 10588, 476, 1556, 563, 279, 269, 7756, 16131, 585, 10707, 543, 9683, 14077, 454, 15862, 5491, 281, 7711, 328, 269, 2459, 6590, 454, 1805, 10107, 547, 2199, 2245, 267, 17368, 615, 2996, 4043, 547, 4142, 6510, 519, 476, 272, 560, 543, 476, 274, 6113, 2395, 540, 519, 1007, 1032, 547, 9683, 2673, 14077, 563, 15862, 5491, 281, 7711, 277, 684, 14673, 657, 454, 2690, 713, 2601, 267, 1034, 10754, 538, 519, 5087, 616, 1419, 8900, 593, 519, 1101, 1554, 540, 519, 1007, 1032, 563, 15862, 5491, 281, 7711, 5658, 639, 342, 1074, 2401, 454, 7197, 590, 719, 615, 2996, 267, 2705, 267, 26600, 547, 519, 10754, 547, 4497, 538, 30018, 570, 17554, 379, 339, 2238, 610, 2951, 547, 824, 4025, 1318, 593, 519, 476, 272, 560, 1554, 540, 519, 1032, 269, 2755, 519, 4272, 2218, 642, 32079, 1869, 11579, 6233, 519, 5087, 2394, 519, 476, 278, 628, 610, 519, 476, 1015, 628, 1554, 267, 8828, 4872, 616, 2907, 13059, 547, 3339, 1097, 676, 1287, 563, 4407, 17368, 615, 2996, 1294, 570, 17554, 379, 339, 607, 811, 540, 513, 16601, 2686, 11812, 267, 590, 719, 615, 2996, 1294, 519, 9702, 17033, 607, 606, 8317, 547, 7938, 785, 1354, 13059, 547, 960, 269, 4935, 267, 1034, 1004, 543, 3028, 24284, 538, 519, 3162, 16056, 960, 1310, 519, 570, 17554, 379, 339, 9702, 1896, 2395, 19692, 982, 1346, 538, 519, 3345, 563, 307, 17554, 379, 339, 16873, 538, 8832, 543, 8828, 10476, 454, 763, 2081, 19176, 2066, 519, 2197, 8661, 519, 30803, 1715, 5729, 9702, 949, 1413, 2147, 693, 1101, 8289, 269, 1717, 267, 972, 616, 1869, 1919, 602, 1305, 17368, 615, 2996, 543, 590, 719, 615, 2996, 685, 570, 17554, 379, 339, 16873, 6306, 563, 9827, 2638, 856, 912, 268, 476, 1321, 669, 545, 543, 3158, 22190, 28508, 513, 334, 546, 2967, 585, 513, 1350, 600 ]

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

[ 3564, 6071, 12716, 12257, 269, 1358, 2813, 6198, 3615, 8151, 689, 19297, 543, 2835, 547, 11647, 543, 11265, 3889, 267, 20747, 2590, 519, 6302, 1063, 5386, 1148, 543, 1374, 780, 4089, 476, 274, 281, 27505, 1359, 20472, 22999, 20551, 454, 15703, 5075, 2456, 22755, 519, 3350, 4464, 267, 1851, 7247, 941, 32157, 570, 520, 4802, 267, 12138, 14339, 7770, 14150, 267, 543, 9149, 889, 990, 7377, 13960, 780, 309, 19921, 25504, 570, 520, 4802, 630, 6642, 276, 1700, 4198, 274, 2567, 19612, 585, 1010, 11599, 31790, 547, 519, 12059, 4139, 630, 307, 520, 4802, 781, 18975, 1070, 570, 520, 4802, 19424, 539, 513, 26009, 2497, 7768, 7357, 540, 5374, 543, 4837, 269, 4014, 2760, 7691, 1813, 547, 6639, 7687, 267, 519, 1788, 22993, 20472, 13659, 781, 7029, 547, 10342, 543, 5499, 946, 540, 2326, 780, 20694, 6387, 14339, 7770, 14150, 630, 6245, 272, 1700, 4198, 277, 2567, 1323, 9565, 4137, 945, 8329, 3648, 547, 10344, 267, 8642, 1374, 267, 543, 7206, 267, 14339, 7770, 14150, 8268, 6422, 5380, 543, 8901, 3347, 269, 3571, 960, 1419, 11368, 2584, 558, 2632, 720, 2553, 267, 9256, 19635, 2592, 547, 1711, 3532, 3308, 6386, 602, 10630, 4207, 1272, 780, 30537, 889, 990, 7377, 13960, 630, 6642, 280, 1700, 4572, 275, 2567, 6271, 7986, 4775, 7376, 2404, 609, 20472, 13659, 267, 7377, 13960, 3812, 10367, 267, 20955, 267, 543, 3942, 6272, 6353, 676, 12050, 4778, 543, 11495, 22762, 1845, 269, 2701, 2663, 17146, 1200, 1445, 2509, 4853, 2504, 2409, 267, 8888, 10097, 7622, 3688, 5921, 585, 2527, 4616, 780, 4089, 476, 275, 281, 22684, 543, 22627, 547, 7351, 12367, 454, 8601, 6849, 4013, 7106, 549, 1998, 1282, 9478, 23237, 781, 12512, 267, 20472, 13659, 2451, 606, 30170, 1665, 593, 7766, 1148, 5322, 5001, 269, 4706, 8561, 593, 6101, 5647, 6766, 645, 879, 27346, 9858, 267, 1546, 853, 6359, 331, 26719, 267, 543, 1977, 17593, 20309, 1235, 7567, 269, 5047, 267, 4207, 5159, 3136, 547, 20920, 609, 2055, 4478, 1599, 543, 1570, 640, 1107, 4798, 3844, 547, 20472, 22999, 16809, 780, 288, 8037, 1383, 666, 581, 2938, 538, 20673, 25504, 22503, 341, 747, 781, 29653, 3084, 3961, 5018, 693, 519, 4098, 540, 713, 2376, 269, 22503, 341, 747, 267, 2808, 513, 22082, 540, 10016, 516, 3901, 1143, 630, 534, 1055, 3333, 2393, 540, 20472, 13659, 1070, 2047, 5532, 1010, 7499, 1646, 547, 1010, 21977, 6561, 269, 8616, 267, 1082, 5238, 30387, 1864, 607, 834, 305, 11701, 2437, 31328, 20887, 827, 519, 8129, 540, 1285, 656, 3766, 31938, 1148, 538, 8109, 2342, 780, 6962, 912, 1607, 3184, 814, 25139, 875, 20472, 13659, 7153, 607, 513, 12316, 3196, 538, 6739, 543, 8168, 1148, 267, 18534, 12686, 2757, 12331, 540, 6041, 998, 922, 1202, 14571, 593, 1570, 640, 267, 12166, 27727, 267, 543, 10342, 269, 3414, 2502, 609, 25761, 5515, 899, 570, 520, 4802, 267, 14339, 7770, 14150, 267, 543, 7377, 13960, 267, 649, 723, 14360, 519, 3350, 781, 1764, 593, 2518, 1148, 2853, 543, 8947, 5571, 9840, 7282, 2686, 9163, 269, 11086, 267, 4974, 20472, 13659, 3091, 3407, 4030, 883, 519, 16799, 1063, 6214, 267, 15312, 267, 543, 6848, 7004, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13775, 676, 634, 4521, 11071, 4659, 454, 514, 29046, 2060, 454, 4002, 4989, 476, 1724, 267, 594, 1336, 8885, 9361, 538, 1250, 15678, 4055, 538, 700, 341, 643, 267, 12907, 267, 6947, 547, 2011, 986, 573, 32302, 979, 1055, 607, 594, 10692, 593, 513, 4395, 540, 1250, 1378, 538, 519, 21977, 2112, 1996, 6576, 563, 7069, 4395, 729, 9504, 563, 11854, 32496, 267, 594, 729, 32626, 936, 519, 1697, 3084, 32165, 585, 513, 812, 3957, 20673, 25504, 22503, 341, 747, 267, 513, 1582, 17393, 8282, 21977, 1285, 656, 3766, 31938, 7376, 4535, 538, 19109, 643, 547, 513, 14470, 4651, 543, 21977, 3993, 269, 4634, 1498, 22503, 341, 747, 630, 6942, 280, 268, 4350, 276, 264, 2047, 13615, 1010, 1378, 7499, 1646, 547, 1010, 21977, 1686, 538, 19701, 13366, 267, 1082, 540, 519, 1158, 779, 15882, 2221, 20866, 6003, 519, 7376, 607, 968, 305, 11701, 267, 12907, 23899, 3034, 7069, 6278, 609, 22503, 341, 747, 779, 9504, 2985, 3459, 1079, 2395, 2038, 267, 593, 4989, 476, 1556, 267, 950, 519, 1744, 27595, 5741, 267, 606, 3919, 594, 1071, 1922, 15903, 538, 476, 1708, 272, 267, 11540, 513, 7662, 517, 17749, 6998, 15882, 1472, 519, 1158, 267, 1519, 519, 7467, 540, 7073, 3203, 538, 1715, 3840, 267, 547, 9337, 22503, 341, 747, 779, 10297, 547, 8308, 2992, 1010, 21977, 3961, 269, 3776, 1064, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17746, 1192, 13659, 257, 607, 851, 540, 834, 11286, 1315, 6739, 1299, 8168, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 7111, 1977, 24285, 910, 29073, 540, 23008, 2065, 16844, 692, 5970, 596, 2479, 2219, 827, 875, 1082, 4654, 972, 616, 538, 519, 1158, 286, 9894, 596, 917, 602, 3345, 3013, 267, 1141, 649, 2661, 267, 568, 1753, 547, 513, 5318, 5044, 540, 4654, 286, 2368, 540, 891, 4654, 616, 9275, 676, 7111, 1977, 2950, 267, 945, 723, 5030, 1934, 585, 5215, 540, 1296, 1354, 3864, 13896, 8452, 269, 2913, 781, 1451, 811, 827, 891, 6909, 4654, 543, 519, 3401, 945, 10692, 2182, 547, 8190, 873, 2439, 299, 16722, 616, 811, 982, 1175, 1913, 282, 789, 3180, 2984, 267, 5389, 267, 543, 2189, 2081, 540, 7487, 519, 1158, 269, 5994, 952, 707, 1920, 12038, 1152, 835, 1893, 693, 1753, 267, 855, 1287, 941, 5143, 621, 729, 1996, 519, 1876, 547, 3717, 621, 3544, 256, 10251, 267, 713, 5949, 547, 1082, 7111, 4892, 950, 3864, 13896, 3357, 547, 3345, 3013, 269, 1358, 7142, 7111, 1453, 547, 7390, 27756, 3506, 543, 27052, 873, 585, 6340, 741, 5065, 4654, 269, 1306, 513, 1267, 267, 1082, 6805, 4654, 5176, 8709, 1639, 269, 30586, 267, 930, 12703, 2043, 11542, 909, 1996, 713, 21440, 269, 4653, 267, 1577, 781, 2743, 1614, 971, 12325, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 301, 13246, 2986, 4325, 5474, 1656, 11572, 23779, 454, 15575, 1845, 899, 6792, 267, 30643, 267, 27816, 267, 30188, 267, 543, 24053, 3570, 5431, 782, 610, 1034, 7087, 4654, 5065, 547, 741, 9757, 2477, 267, 609, 30643, 543, 27816, 6173, 908, 782, 7087, 4654, 547, 4013, 1893, 4567, 2687, 547, 741, 1526, 4801, 269, 21896, 30896, 2199, 7087, 1893, 6284, 547, 519, 8257, 1377, 2687, 547, 519, 18207, 1014, 9139, 540, 476, 1960, 272, 269, 18831, 899, 4516, 267, 18335, 267, 543, 519, 2136, 2276, 1450, 741, 9757, 16899, 543, 2829, 547, 3313, 741, 1378, 1893, 6284, 4507, 269, 7087, 1893, 6284, 538, 8478, 568, 3908, 547, 741, 2199, 885, 563, 268, 25522, 2798, 2099, 12102, 1893, 4567, 269, 11572, 9988, 609, 4013, 1893, 4567, 616, 12006, 538, 12050, 563, 22139, 3013, 568, 8037, 585, 922, 10409, 4763, 267, 2523, 538, 4993, 269, 901, 1858, 814, 476, 1240, 1893, 3885, 16030, 476, 10619, 4654, 4586, 5194, 1858, 540, 9645, 4763, 5526, 547, 723, 13520, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 30943, 1977, 24285, 257, 607, 851, 540, 834, 16300, 16337, 1315, 4437, 7240, 1315, 2136, 2276, 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, 11930, 19884, 5811, 630, 29866, 264, 568, 513, 4922, 6444, 3797, 1031, 547, 948, 2043, 609, 20150, 25400, 13081, 630, 32359, 1070, 1851, 824, 11095, 4713, 269, 634, 3119, 3804, 540, 9474, 288, 568, 547, 12189, 2623, 998, 519, 8446, 543, 2079, 540, 922, 24970, 1027, 757, 543, 4539, 269, 901, 2963, 2861, 1935, 6212, 593, 5355, 13998, 1713, 5615, 971, 607, 2792, 267, 1565, 22026, 267, 543, 13916, 269, 1635, 8840, 1524, 1950, 4247, 883, 4130, 3334, 543, 17923, 2318, 5615, 267, 9474, 288, 6663, 547, 3895, 1279, 3856, 5578, 11601, 543, 7115, 780, 1103, 1931, 547, 4628, 1174, 519, 4644, 540, 9474, 288, 1369, 3782, 543, 2069, 5468, 267, 1577, 781, 2263, 930, 1883, 3741, 543, 2553, 2404, 609, 713, 9354, 6304, 269, 1452, 13654, 2609, 4196, 607, 519, 22449, 540, 3811, 9474, 288, 3292, 543, 666, 7494, 3986, 2949, 2298, 540, 1272, 585, 4299, 2043, 780, 272, 269, 15474, 22365, 7593, 281, 2311, 519, 4295, 540, 9474, 288, 6013, 519, 1523, 540, 2318, 15699, 910, 3246, 5551, 12587, 1739, 14909, 5615, 547, 2333, 741, 4908, 543, 7794, 5817, 12205, 269, 1280, 1383, 267, 950, 2324, 609, 513, 1126, 945, 9620, 609, 11913, 2792, 267, 7598, 513, 8007, 1062, 20314, 550, 2390, 2953, 6165, 540, 1893, 7512, 17279, 543, 27715, 540, 4633, 1983, 269, 3683, 942, 267, 5812, 3498, 540, 2318, 15699, 5012, 547, 9434, 9283, 538, 1585, 2127, 1519, 4081, 2773, 267, 1514, 4205, 267, 543, 1582, 13282, 5759, 563, 273, 269, 1744, 12686, 281, 9717, 602, 1082, 3077, 5615, 2154, 31278, 11144, 2509, 811, 4359, 2157, 267, 5935, 5713, 607, 606, 1898, 4480, 538, 13057, 6267, 2059, 713, 13374, 269, 3414, 20422, 4114, 574, 725, 1107, 7930, 2810, 6788, 1247, 4509, 3617, 15699, 16131, 1107, 9439, 7520, 2208, 538, 6988, 543, 30483, 540, 4121, 6114, 269, 769, 9759, 267, 5935, 2636, 585, 519, 9836, 2679, 540, 1007, 1983, 1759, 593, 4540, 21941, 267, 5807, 4797, 3356, 543, 9542, 2066, 3309, 8658, 563, 274, 269, 32653, 532, 281, 1677, 1489, 3355, 6278, 543, 4977, 11056, 540, 3209, 5615, 267, 20872, 2994, 1404, 513, 2629, 1909, 538, 21934, 13783, 1565, 2833, 269, 13689, 593, 1367, 15226, 12632, 267, 12987, 949, 1491, 1585, 3029, 8151, 689, 2168, 5583, 547, 3308, 10291, 610, 11913, 5528, 269, 19573, 531, 535, 8172, 540, 12987, 5849, 602, 6267, 8263, 3152, 5539, 585, 741, 3527, 267, 7551, 5009, 31633, 543, 5826, 540, 9715, 1983, 563, 275, 269, 4578, 14635, 543, 5811, 281, 1306, 513, 1239, 12454, 9015, 267, 9474, 288, 12346, 8185, 593, 5571, 6482, 543, 6268, 540, 2126, 4093, 269, 3590, 1738, 9477, 540, 4143, 4632, 6087, 19353, 547, 6895, 3356, 267, 4188, 6304, 4566, 607, 2877, 267, 543, 6542, 12170, 14496, 540, 8045, 5773, 269, 5047, 267, 6198, 2623, 10526, 630, 293, 289, 2026, 264, 2099, 2565, 2645, 538, 7114, 5817, 18144, 12044, 32277, 28922, 5615, 267, 22338, 519, 1259, 585, 6098, 543, 2500, 32598, 3646, 563, 276, 269, 19078, 19047, 281, 1520, 11447, 547, 3318, 4441, 543, 5683, 4808, 13054, 1776, 4909, 2460, 540, 9474, 288, 2259, 269, 31943, 619, 1590, 1193, 604, 541, 551, 823, 2686, 8417, 267, 2463, 7817, 13190, 267, 2226, 22637, 267, 543, 4497, 538, 6024, 3318, 1646, 2238, 269, 5015, 267, 3743, 2932, 9598, 919, 602, 3028, 7426, 2611, 21713, 1996, 1761, 1775, 520, 4088, 545, 2360, 31827, 689, 26516, 2942, 4539, 4611, 689, 1134, 268, 26074, 2943, 14605, 13401, 7459, 563, 277, 269, 7351, 12367, 543, 8892, 19648, 281, 10738, 519, 6626, 5251, 540, 3782, 543, 2069, 2533, 267, 6932, 3466, 20838, 519, 2956, 540, 2029, 5610, 543, 10531, 6044, 3358, 547, 2189, 15226, 4162, 269, 17791, 8234, 23857, 1631, 5512, 6552, 6765, 540, 9474, 288, 2533, 267, 9750, 10333, 585, 6917, 5095, 543, 4227, 7496, 13684, 676, 10923, 10148, 269, 3958, 267, 8441, 538, 5841, 4987, 543, 3684, 1565, 3180, 9153, 585, 7393, 10368, 6111, 543, 26655, 2963, 2861, 3375, 6194, 3157, 1369, 4791, 5468, 563, 278, 269, 7464, 21509, 6201, 281, 16792, 938, 7811, 1702, 3490, 547, 4052, 3871, 14550, 875, 9474, 288, 8309, 3648, 547, 4824, 1072, 543, 8516, 4093, 1851, 2043, 8995 ]

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

[ 634, 4879, 849, 11117, 519, 3463, 540, 2916, 1689, 547, 7733, 543, 9265, 269, 0, 9915, 19781, 630, 298, 311, 3198, 264, 1107, 3047, 786, 723, 513, 2673, 7237, 609, 513, 1507, 20503, 13628, 563, 301, 3139, 476, 1708, 274, 645, 308, 267, 519, 4224, 568, 827, 519, 2450, 540, 513, 4216, 14903, 267, 2687, 547, 8331, 269, 898, 779, 6059, 547, 581, 827, 476, 1556, 3952, 543, 476, 2764, 3952, 2066, 267, 519, 2230, 8116, 1767, 563, 2691, 476, 1708, 274, 645, 308, 10596, 936, 519, 7013, 9133, 540, 3162, 3013, 693, 476, 277, 281, 2767, 533, 6230, 269, 595, 4306, 267, 621, 786, 581, 1152, 476, 273, 267, 1220, 5195, 1657, 519, 3047, 779, 2627, 2443, 610, 6251, 982, 930, 540, 519, 15408, 4867, 28835, 519, 4541, 563, 1805, 800, 5170, 2630, 912, 268, 19186, 340, 20960, 4302, 281, 19186, 340, 20960, 4302, 12543, 10480, 909, 609, 10256, 1835, 4770, 883, 3774, 14578, 454, 268, 1715, 6792, 281, 19248, 657, 1920, 21616, 609, 3668, 540, 3356, 593, 3106, 3800, 593, 19248, 657, 717, 5282, 15167, 454, 268, 5113, 281, 4024, 1715, 6792, 1294, 513, 2048, 338, 11170, 1782, 685, 5614, 543, 4832, 888, 268, 17235, 281, 654, 1551, 656, 856, 585, 4807, 15034, 540, 14124, 476, 2412, 6472, 538, 25708, 19186, 340, 20960, 4302, 454, 2467, 568, 1100, 1981, 602, 519, 20503, 18363, 3047, 267, 1577, 4805, 30286, 513, 3463, 547, 922, 1272, 13257, 267, 8331, 1028, 999, 269, 1403, 621, 1705, 4383, 547, 4283, 938, 5790, 267, 621, 1131, 968, 339, 1248, 883, 513, 3595, 4252, 892, 543, 2736, 6306, 267, 8331, 1767, 267, 543, 1507, 14368, 2572, 1131, 1287, 2887, 689, 519, 6607, 563, 1692, 666, 594, 1294, 519, 20503, 8429, 3047, 888, 1805, 1173, 1794, 619, 723, 741, 1655, 4960, 540, 7487, 519, 20503, 1780, 936, 3047, 593, 13628, 269, 22073, 693, 476, 272, 281, 1428, 533, 6230, 269, 595, 4306, 267, 519, 14044, 23571, 5741, 786, 2661, 3613, 3195, 519, 2673, 7237, 269, 634, 3028, 267, 3177, 676, 519, 13852, 520, 3700, 13562, 13929, 25076, 538, 7977, 267, 3096, 18951, 24985, 547, 13739, 1483, 6066, 2230, 11052, 2228, 563, 763, 20503, 729, 1152, 5063, 4362, 593, 3967, 269, 476, 2641, 676, 23153, 31485, 2637, 333, 611, 12011, 16907, 529, 990, 563, 5475, 519, 20503, 779, 6602, 267, 8331, 1031, 519, 27533, 1764, 9651, 4879, 1062, 547, 3313, 519, 3463, 519, 20503, 1223, 10460, 269, 634, 1062, 23607, 24551, 540, 14033, 3047, 27014, 630, 20911, 302, 264, 547, 3313, 1022, 1981, 547, 1272, 593, 3047, 563, 763, 1062, 3533, 10567, 513, 2282, 4413, 269, 0, 5970, 596, 2479, 9289, 1946, 930, 1004, 3100, 547, 2611, 9350, 538, 519, 3068, 540, 9568, 1247, 1866, 2408, 547, 2097, 3768, 821, 286, 634, 2626, 568, 6043, 269, 22990, 1304, 1004, 616, 2111, 547, 8415, 741, 1983, 543, 9342, 547, 11883, 543, 9156, 689, 2042, 543, 2591, 1247, 5329, 741, 3579, 950, 7680, 22303, 563, 2005, 781, 1480, 2470, 547, 5706, 1689, 734, 31860, 950, 621, 2501, 538, 519, 1106, 540, 14488, 610, 2591, 269, 10251, 267, 1689, 568, 17149, 267, 543, 3384, 519, 16023, 540, 6043, 2337, 721, 711, 1152, 7639, 1689, 267, 855, 849, 1451, 267, 1332, 267, 543, 8853, 538, 621, 269, 26504, 568, 519, 4390, 547, 11883, 609, 2566, 543, 14488, 269, 898, 2501, 689, 18468, 538, 3054, 543, 267, 693, 519, 1482, 942, 267, 538, 1945, 3677, 982, 3054, 269, 26504, 568, 711, 513, 16023, 602, 1004, 616, 4535, 609, 282, 621, 3322, 5615, 267, 4555, 267, 543, 3527, 602, 666, 581, 4121, 543, 2919, 538, 4896, 693, 1022, 3942, 538, 1272, 269, 1403, 789, 1616, 621, 563, 3086, 267, 811, 982, 2479, 267, 568, 513, 1390, 942, 547, 7794, 707, 6043, 1282, 519, 1699, 5046, 268, 866, 6855, 649, 2811, 782, 7680, 269, 1215, 616, 596, 12003, 609, 519, 1554, 547, 1554, 21500, 286, 3657, 596, 14221, 267, 7334, 286, 11565, 803, 1862, 28205, 616, 782, 3339, 4606, 855, 952, 596, 1616, 930, 2093, 593, 2081, 547, 1995, 2123, 2208, 998, 713, 942, 267, 1832, 593, 2542, 269, 898, 781, 849, 513, 8748, 942, 547, 4001, 707, 1453, 2635, 12003, 6208, 543, 594, 3513, 581, 4687, 1346, 14182, 563, 16100, 593, 519, 24761, 17121, 454, 27269, 950, 3983, 1919, 4755, 267, 649, 1205, 12758, 3206, 827, 2942, 4093, 269, 1284, 14578, 1589, 827, 1018, 649, 1223, 723, 2944, 8335, 538, 519, 2250, 267, 610, 875, 649, 616, 2469, 547, 3190, 909, 1586, 538, 519, 2104, 269, 1284, 15555, 3729, 593, 891, 2621, 267, 1317, 649, 19451, 569, 3494, 602, 3206, 827, 938, 23434, 936, 543, 936, 1586, 786, 948, 721, 4194, 873, 269, 10251, 267, 2942, 2219, 9979, 1175, 1205, 721, 9575, 909, 538, 938, 4555, 267, 3079, 540, 2921, 519, 3527, 649, 991, 547, 1847, 4464, 269, 1924, 1862, 2280, 781, 1376, 676, 556, 2914, 3931, 875, 649, 1589, 827, 1919, 269, 1879, 1945, 10779, 25106, 4386, 282, 1491, 519, 942, 547, 1589, 827, 1018, 596, 1223, 723, 2944, 8335, 543, 1287, 1589, 540, 1018, 2318, 1491, 12537, 596, 723, 689, 602, 3510, 269, 6884, 596, 1810, 1405, 2141, 917, 713, 1318, 2476, 855, 1964, 21407, 267, 972, 568, 2495, 538, 3388, 543, 835, 1554, 596, 786, 1294, 834, 25585, 257, 596, 28815, 1018, 596, 723, 2059, 707, 3460, 563, 19013, 267, 1082, 540, 721, 2057, 5821, 693, 782, 3790, 269, 1284, 798, 865, 267, 1317, 649, 616, 12922, 540, 5821, 282, 649, 5855, 602, 1004, 786, 1589, 14605, 540, 721, 952, 649, 3111, 267, 543, 649, 1745, 11849, 3139, 950, 649, 3111, 269, 1809, 676, 8156, 5821, 899, 513, 2068, 547, 581, 14284, 267, 649, 2760, 2285, 6000, 513, 4960, 547, 7753, 2591, 543, 2259, 6043, 269, 1306, 513, 1267, 267, 649, 2061, 6000, 689, 4742, 811, 14388, 269, 1924, 875, 798, 596, 20630, 707, 4250, 540, 5821, 267, 865, 602, 596, 666, 1376, 2679, 6043, 286, 1403, 596, 1589, 5821, 568, 513, 3463, 267, 899, 1082, 540, 721, 798, 267, 707, 1560, 786, 5965, 585, 513, 4339, 2443, 543, 596, 3580, 1745, 899, 596, 2461, 538, 513, 6370, 269, 5502, 267, 3442, 547, 2070, 621, 607, 513, 4161, 543, 594, 914, 596, 2811, 811, 2693, 547, 1589, 596, 616, 5827, 540, 7829, 621, 269, 1280, 782, 1250, 834, 1692, 594, 5450, 2659, 12624, 257, 11655, 1862, 1589, 540, 621, 607, 267, 834, 577, 718, 3188, 7608, 1701, 1677, 1628, 713, 968, 577, 718, 3188, 14820, 2223, 2992, 593, 2250, 2591, 602, 596, 4076, 7753, 269, 6875, 513, 4090, 547, 1589, 1394, 547, 824, 3853, 596, 4076, 6913, 269, 3816, 785, 3054, 602, 596, 723, 1044, 3811, 693, 1919, 538, 519, 2250, 267, 1256, 1507, 1919, 269, 1879, 596, 7618, 3054, 602, 596, 723, 16309, 1354, 267, 596, 666, 948, 6521, 2509, 513, 4161, 14820, 269, 8921, 267, 14650, 1967, 269, 1635, 31935, 3054, 3257, 1134, 267, 596, 6521, 707, 14820, 547, 798, 1134, 269, 2201, 519, 824, 1688, 267, 952, 596, 6360, 707, 2247, 827, 1018, 1223, 979, 4636, 267, 707, 4250, 13976, 267, 543, 519, 5821, 596, 4250, 3587, 811, 2693, 269, 5901, 538, 2247, 602, 1256, 952, 596, 616, 2111, 547, 6521, 707, 2634, 547, 3247, 7487, 1945, 607, 513, 3463, 267, 596, 949, 1745, 8401, 1145, 610, 4160, 267, 855, 596, 3513, 849, 1995, 2318, 12214, 2242, 602, 666, 948, 596, 1118, 1732, 946, 540, 891, 2942, 4664, 454, 8340, 519, 10025, 538, 12815, 454, 10673, 1405, 2119, 547, 4194, 2042, 609, 519, 1482, 3206, 602, 2813, 873, 563, 4910, 559, 1304, 1004, 798, 711, 1118, 519, 1482, 12161, 1586, 543, 1586, 269, 1358, 2811, 8348, 547, 581, 9237, 827, 1946, 789, 8959, 543, 789, 1491, 519, 942, 547, 1589, 827, 1018, 4769, 1405, 960, 563, 1607, 1932, 4927, 10426, 454, 9596, 547, 1852, 707, 4664, 1354, 789, 4383, 596, 269, 11565, 803, 267, 713, 568, 4443, 1767, 982, 2944, 267, 4947, 689, 2576, 945, 31273, 1200, 4664, 593, 1200, 19492, 1407, 269, 22990, 1304, 1004, 723, 513, 2318, 19773, 269, 1358, 7618, 2933, 602, 1454, 540, 1018, 789, 2811, 6849, 568, 10151, 267, 543, 602, 789, 4312, 7753, 22303, 1354, 543, 666, 798, 621, 1586, 269, 22990, 1304, 1004, 1451, 1445, 593, 1018, 789, 666, 1451, 689, 519, 1995, 5288, 4730, 519, 267, 834, 342, 4141, 568, 803, 4799, 7437, 1250, 2123, 23434, 267, 1250, 3214, 723, 14754, 0, 2026, 596, 723, 4440, 8068, 267, 2899, 519, 9702, 4005, 20061, 1472, 267, 2736, 8083, 543, 824, 2960, 2175, 6430, 547, 1118, 606, 7938, 4372, 5920, 269, 898, 568, 1100, 9114, 602, 519, 14812, 666, 9594, 2960, 2175, 543, 1118, 27506, 13522, 8338, 1813, 547, 519, 4365, 267, 2566, 267, 782, 519, 30018, 3536, 267, 711, 547, 2446, 519, 1249, 602, 1004, 1419, 7340, 547, 1491, 1416, 540, 741, 2960, 538, 519, 554, 755, 548, 543, 11861, 548, 540, 519, 4005, 563, 3963, 1684, 519, 32733, 5269, 16164, 17148, 1937, 572, 286, 29804, 6118, 2566, 12153, 2960, 2175, 1317, 707, 1560, 7472, 23280, 267, 513, 9449, 602, 2306, 707, 2960, 811, 522, 1176, 950, 596, 616, 14129, 269, 272, 3776, 1360, 1378, 14468, 17172, 6048, 3220, 269, 12984, 572, 325, 11840, 919, 513, 2370, 811, 593, 930, 540, 519, 1455, 2960, 2175, 15427, 676, 9702, 2566, 563, 31319, 22915, 31319, 22915, 267, 849, 5219, 547, 607, 693, 8084, 27150, 267, 568, 513, 2960, 2783, 602, 3123, 3819, 267, 2699, 267, 543, 28349, 2960, 269, 898, 568, 1034, 4122, 1336, 538, 1453, 855, 4079, 5749, 1406, 4761, 547, 621, 2901, 269, 273, 8278, 22915, 568, 835, 540, 519, 1034, 1455, 2960, 2175, 15427, 676, 9702, 2566, 269, 1403, 596, 723, 26253, 267, 621, 568, 1271, 547, 2611, 17159, 1282, 519, 14812, 538, 2489, 543, 2057, 6464, 602, 22652, 2589, 269, 15742, 30143, 267, 28052, 757, 543, 865, 2355, 798, 1404, 513, 2462, 851, 538, 27506, 13522, 865, 621, 568, 1655, 547, 2057, 873, 1282, 519, 9702, 4005, 269, 1403, 596, 2461, 9702, 10516, 10918, 585, 2576, 609, 26253, 267, 621, 568, 1655, 547, 2057, 1022, 2960, 2472, 610, 6464, 1317, 596, 2760, 917, 1018, 666, 2014, 513, 27506, 5346, 269, 5502, 267, 596, 666, 6529, 547, 3688, 1644, 547, 2238, 789, 949, 899, 971, 607, 2835, 267, 9413, 267, 610, 3756, 269, 1411, 1223, 849, 5614, 585, 606, 2011, 1625, 8595, 789, 1223, 946, 693, 1753, 547, 844, 749, 519, 7872, 540, 27506, 13522, 563, 295, 1161, 295, 1161, 267, 610, 2712, 6776, 7559, 267, 568, 606, 12176, 540, 22224, 12779, 2699, 27894, 610, 29693, 13196, 630, 20253, 1023, 264, 593, 519, 2960, 602, 2408, 10393, 1813, 547, 606, 13027, 5114, 610, 824, 7164, 4128, 269, 273, 4014, 1034, 1004, 2736, 856, 538, 32105, 1317, 540, 606, 14711, 267, 621, 666, 849, 2049, 950, 1004, 616, 14221, 543, 14129, 269, 634, 1655, 1259, 547, 2057, 513, 27506, 5346, 540, 32105, 1282, 519, 14812, 568, 547, 2611, 9350, 543, 1832, 707, 4160, 693, 15922, 269, 8347, 2921, 2620, 24967, 543, 15395, 942, 585, 3054, 952, 596, 616, 4743, 519, 2604, 540, 519, 9702, 4005, 269, 1403, 707, 32105, 1810, 1406, 1016, 2515, 267, 5077, 513, 2564, 3318, 693, 606, 14849, 1416, 4099, 610, 6595, 4055, 538, 2013, 540, 6595, 610, 1118, 606, 13393, 609, 513, 2564, 17172, 1108, 4099, 563, 305, 657, 25445, 305, 657, 25445, 568, 513, 1360, 1455, 2960, 2783, 23401, 18383, 602, 3123, 707, 3068, 547, 2408, 2699, 543, 6140, 5540, 3043, 267, 1647, 27070, 2021, 269, 589, 887, 338, 25445, 27506, 5346, 568, 1360, 1455, 1282, 519, 9702, 1317, 540, 2566, 543, 4160, 269, 901, 2960, 2783, 15427, 676, 9702, 2566, 786, 22009, 950, 513, 1268, 568, 13347, 543, 14221, 269, 898, 779, 1271, 547, 1174, 707, 887, 338, 25445, 543, 519, 1919, 602, 2014, 621, 607, 1134, 607, 875, 547, 5265, 1521, 2589, 865, 596, 666, 2972, 519, 9702, 4005, 563, 1692, 547, 16473, 16164, 17148, 17832, 13499, 676, 31054, 13262, 763, 1655, 3364, 596, 666, 798, 568, 6001, 543, 2972, 519, 4005, 269, 5213, 1406, 21467, 868, 754, 3054, 1100, 2339, 875, 1082, 9702, 6105, 610, 1920, 19771, 596, 2461, 14376, 547, 269, 1403, 2589, 585, 707, 2960, 2175, 1810, 1406, 2087, 267, 8430, 513, 15360, 609, 513, 17172, 6048, 538, 645, 10087, 13158, 517, 547, 2327, 596, 2461, 782, 1305, 585, 513, 2566, 6954, 9702, 609, 2312, 2960, 563, 268, 5680, 13270, 1107, 12186, 540, 13262, 593, 2659, 16164, 454 ]

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

[ 2899, 11542, 267, 1200, 4651, 14393, 1529, 3585, 1336, 741, 7674, 12826, 4628, 16856, 269, 901, 10347, 267, 3039, 267, 6978, 11057, 12826, 630, 6518, 2899, 4371, 741, 3232, 6980, 264, 1631, 6585, 8823, 540, 519, 2250, 543, 5713, 607, 513, 6077, 540, 4126, 267, 4708, 267, 543, 1007, 5389, 585, 590, 778, 27323, 543, 519, 17005, 2818, 540, 1200, 1920, 563, 21202, 30558, 9509, 540, 13458, 281, 589, 6936, 9452, 257, 676, 2278, 5516, 333, 853, 15625, 543, 3879, 15249, 13019, 4275, 918, 639, 10440, 568, 513, 7184, 3001, 15923, 4605, 1433, 9306, 590, 778, 27323, 962, 553, 14241, 781, 3020, 1272, 1650, 540, 17005, 519, 10570, 26645, 540, 18491, 30245, 538, 2622, 20613, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5472, 28375, 257, 607, 851, 540, 834, 16300, 16337, 1315, 16610, 1315, 16319, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

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

[ 273, 815, 476, 272, 20728, 346, 267, 6525, 543, 3230, 325, 3709, 333, 1341, 476, 273, 348, 815, 535, 3709, 333, 1341, 476, 272, 348, 1341, 535, 5332, 2330, 585, 3230, 333, 1422, 514, 11513, 13992, 715, 4153, 3667, 346, 269, 15732, 272, 269, 28171, 602, 3230, 325, 5332, 1422, 2741, 476, 273, 18898, 20728, 346, 269, 15732, 273, 269, 28171, 602, 3230, 325, 3709, 333, 1341, 476, 272, 348, 535, 3709, 333, 910, 476, 272, 348, 815, 535, 317, 273, 5332, 1341, 11196, 272, 8203, 333, 20728, 346, 267, 6525, 3230, 333, 1422, 28254, 476, 273, 20728, 346, 269, 15732, 274, 269, 28171, 602, 3230, 325, 5332, 815, 27883, 272, 1341, 1422, 6912, 346, 276, 4153, 267, 3738, 317, 333, 910, 630, 272, 910, 1422, 6912, 346, 276, 4153, 267, 3738, 317, 333, 316, 270, 476, 273, 18898, 1422, 6912, 346, 276, 4153, 3667, 346, 269, 15732, 275, 269, 8058, 602, 6695, 12978, 815, 1422, 3916, 3709, 333, 1422, 21375, 1422, 13727, 348, 535, 3709, 333, 1341, 476, 272, 348, 1315, 535, 5332, 815, 22570, 6912, 346, 276, 348, 1341, 476, 272, 8358, 273, 20728, 346, 269, 6525, 634, 3586, 6695, 12978, 2330, 568, 1634, 607, 519, 11344, 5223, 780, 276, 269, 28171, 602, 3230, 325, 5332, 2330, 543, 3230, 325, 3709, 333, 1341, 476, 272, 6525, 616, 5266, 6305, 780, 30607, 476, 1240, 780, 4131, 3230, 320, 2330, 543, 3230, 321, 2330, 581, 9981, 971, 602, 6695, 326, 7251, 5416, 14720, 264, 815, 476, 272, 20728, 346, 269, 6525, 2913, 3230, 337, 2330, 543, 3230, 338, 2330, 581, 9981, 971, 602, 3230, 541, 1341, 536, 338, 815, 476, 272, 20728, 346, 269, 6525, 28171, 602, 692, 17961, 346, 3225, 566, 15857, 1422, 326, 7251, 5416, 29679, 264, 815, 1422, 326, 7251, 16868, 14720, 264, 815, 1422, 326, 7251, 16868, 29679, 264, 815, 476, 272, 20728, 346, 269, 348, 1422, 754, 346, 3225, 566, 265, 8679, 30607, 476, 866, 780, 4131, 3230, 343, 267, 586, 1422, 514, 11513, 13992, 715, 6525, 581, 5266, 6305, 269, 1403, 3230, 15383, 2330, 568, 513, 3501, 4009, 267, 6961, 602, 3230, 343, 2330, 543, 3230, 344, 2330, 1590, 1312, 581, 3501, 10945, 780, 30607, 476, 736, 780, 8794, 519, 6498, 5690, 267, 1397, 602, 1169, 3501, 4009, 568, 540, 519, 1106, 3230, 275, 330, 2330, 610, 3230, 275, 330, 1341, 476, 272, 2330, 585, 930, 1875, 17463, 8870, 3230, 330, 20728, 346, 269, 15732, 30607, 476, 2641, 780, 22428, 602, 3230, 320, 267, 536, 267, 678, 267, 521, 2330, 616, 6292, 3772, 5266, 6305, 543, 602, 692, 17961, 9387, 15857, 513, 317, 273, 1341, 536, 317, 273, 1299, 815, 678, 317, 273, 11138, 513, 317, 273, 910, 536, 317, 273, 1299, 815, 521, 317, 273, 20728, 346, 269, 348, 1422, 754, 9387, 265, 10926, 3682, 557, 602, 3230, 320, 20728, 346, 267, 6525, 3230, 337, 20728, 346, 267, 6525, 543, 3230, 338, 2330, 616, 9642, 543, 3230, 321, 2330, 568, 1256, 780, 30607, 476, 2420, 780, 4131, 3230, 333, 1422, 514, 11513, 13992, 715, 4153, 3667, 346, 269, 6525, 2422, 519, 6498, 5690, 547, 6961, 602, 1169, 8870, 568, 21412, 1110, 3230, 333, 2330, 547, 10502, 835, 540, 519, 9981, 3230, 271, 267, 476, 272, 267, 1422, 24126, 267, 562, 268, 272, 20728, 346, 269, 6525, 1230, 2850, 602, 952, 3230, 337, 2330, 568, 606, 8870, 267, 1287, 972, 568, 4010, 835, 3230, 338, 2330, 538, 3230, 3189, 13992, 2098, 6525, 971, 602, 3230, 271, 1422, 19008, 521, 1422, 2741, 562, 2330, 543, 3230, 314, 337, 316, 815, 1496, 338, 316, 315, 3667, 346, 269, 6525, 9747, 267, 519, 9981, 616, 8197, 15652, 539, 676, 17602, 775, 1110, 3230, 333, 20728, 346, 269, 15732, 30607, 476, 2537, 780, 31711, 519, 2547, 1455, 2789, 540, 1079, 1875, 14706, 9981, 3230, 320, 2330, 543, 3230, 321, 20728, 346, 267, 6525, 20922, 676, 6695, 331, 9492, 5416, 14720, 9385, 3667, 346, 267, 6525, 547, 581, 519, 1875, 17463, 8870, 3230, 332, 2330, 971, 602, 1312, 3230, 320, 2330, 543, 3230, 321, 2330, 7941, 3230, 332, 20728, 346, 267, 6525, 543, 952, 3230, 320, 2330, 543, 3230, 321, 2330, 7941, 1022, 824, 8870, 3230, 333, 20728, 346, 267, 6525, 1287, 3230, 332, 2330, 849, 17337, 3230, 333, 20728, 346, 269, 6525, 28171, 972, 6818, 513, 2189, 2547, 1455, 2789, 585, 1022, 1079, 9981, 3230, 320, 2330, 543, 3230, 321, 20728, 346, 269, 15732, 30607, 476, 2190, 780, 2252, 3230, 323, 284, 1422, 326, 7251, 5416, 267, 536, 14638, 543, 3230, 332, 815, 1422, 331, 9492, 5416, 267, 536, 9385, 3667, 346, 267, 6525, 6961, 602, 3230, 323, 332, 815, 1923, 629, 24689, 3667, 346, 269, 15732, 30607, 476, 1839, 780, 17004, 602, 6695, 331, 9492, 5416, 14720, 264, 815, 705, 2330, 952, 543, 1152, 952, 6695, 326, 7251, 5416, 14720, 264, 815, 476, 272, 20728, 346, 269, 15732, 30607, 476, 2918, 780, 3682, 557, 602, 6695, 326, 7251, 5416, 22698, 264, 815, 1422, 326, 7251, 6357, 22698, 264, 815, 272, 2330, 952, 543, 1152, 952, 6695, 326, 7251, 263, 629, 22698, 264, 815, 476, 272, 2330, 585, 9981, 3230, 320, 20728, 346, 267, 6525, 3230, 321, 20728, 346, 267, 6525, 543, 3230, 322, 20728, 346, 269, 15732, 30607, 476, 2767, 780, 4131, 3230, 320, 267, 536, 267, 524, 1422, 514, 11513, 13992, 2098, 4153, 3667, 346, 269, 6525, 28171, 602, 952, 6695, 326, 7251, 5416, 14720, 264, 815, 476, 272, 2330, 543, 3230, 320, 1422, 13232, 27652, 20728, 346, 267, 6525, 1287, 3230, 320, 1422, 13232, 524, 20728, 346, 269, 15732, 30607, 476, 2764, 780, 4131, 3230, 335, 1422, 28254, 476, 273, 20728, 346, 269, 6525, 28171, 602, 952, 3230, 273, 317, 335, 910, 476, 272, 2330, 568, 6305, 267, 1287, 3230, 335, 2330, 1590, 849, 581, 6305, 780, 30607, 476, 3066, 780, 3682, 557, 602, 972, 616, 606, 12808, 1297, 540, 22136, 540, 519, 1106, 3230, 277, 333, 1341, 476, 276, 20728, 346, 269, 15732, 30607, 476, 1789, 780, 3682, 557, 602, 972, 616, 606, 12808, 1297, 540, 22136, 540, 519, 1106, 3230, 275, 333, 910, 476, 272, 20728, 346, 269, 15732, 30607, 476, 4029, 780, 8794, 519, 1249, 602, 3230, 273, 2330, 568, 6305, 267, 1397, 602, 972, 798, 711, 2291, 9981, 3230, 335, 2330, 543, 3230, 336, 2330, 971, 602, 3230, 335, 317, 273, 815, 476, 273, 7117, 317, 273, 20728, 346, 269, 6525, 23227, 622, 602, 4061, 6695, 6912, 346, 273, 6525, 3112, 581, 513, 7787, 1297, 269, 0, 1001, 275, 268, 1321, 268, 1428, 307, 866, 281, 6349, 281, 4343, 268, 4962, 281, 876, 692, 1103, 513, 1318, 6906, 267, 596, 917, 835, 5086, 568, 476, 3445, 5232, 269, 4595, 972, 616, 476, 5197, 5232, 538, 513, 6906, 267, 602, 3762, 476, 3445, 5232, 585, 519, 824, 1079, 7285, 780, 2171, 1131, 2328, 834, 821, 5086, 568, 4557, 811, 982, 2185, 2053, 519, 824, 5086, 257, 607, 630, 275, 343, 1341, 476, 1015, 1040, 634, 824, 5086, 568, 3274, 1535, 269, 16816, 6320, 267, 519, 3830, 1131, 581, 476, 276, 343, 1341, 476, 1015, 815, 476, 3445, 692, 276, 343, 1341, 476, 1015, 815, 476, 3445, 692, 8138, 339, 847, 476, 1015, 689, 1312, 5011, 692, 276, 343, 815, 476, 3199, 692, 19667, 728, 1312, 5011, 676, 476, 276, 692, 343, 815, 476, 1626, 692, 3080, 5086, 1131, 581, 476, 1626, 5232, 267, 1109, 1492, 2034, 1109, 4120, 1131, 581, 476, 275, 263, 1626, 264, 1341, 476, 1015, 815, 476, 10619, 5232, 267, 543, 519, 3791, 1109, 263, 2431, 264, 5086, 568, 476, 3445, 5232, 269, 0, 258, 6641, 11496, 692, 1012, 30316, 22432, 281, 9119, 540, 519, 2598, 4740, 22263, 17992, 630, 5263, 307, 264, 910, 25840, 744, 269, 8055, 8633, 269, 6641, 11496, 692, 2005, 5526, 602, 596, 616, 1210, 1520, 289, 24286, 3301, 269, 634, 1942, 540, 4881, 713, 3896, 568, 4988, 676, 22099, 269, 1403, 596, 899, 621, 5225, 1745, 1863, 547, 513, 1507, 2179, 540, 2724, 547, 5150, 519, 2104, 540, 713, 3896, 780, 27237, 292, 281, 24199, 667, 8016, 9331, 7728, 4959, 744, 7034, 302, 4041, 15288, 267, 623, 4041, 17955, 595, 4047, 290, 298, 5990, 21832, 966, 8991, 12778, 281, 834, 12385, 24136, 540, 519, 2598, 4740, 22263, 17992, 630, 5263, 307, 1070, 609, 23866, 10241, 26905, 5822, 9990, 2580, 676, 25840, 744, 269, 8055, 8633, 267, 654, 274, 298, 14539, 267, 476, 1220, 278, 267, 9768, 476, 7818, 268, 271, 268, 9032, 275, 28794, 278, 268, 275, 268, 279, 269, 910, 14645, 9736, 476, 1001, 278, 268, 6021, 268, 2764, 676, 25840, 744, 269, 8055, 8633, 910, 4741, 585, 8950, 3194, 538, 8535, 543, 3600, 24065, 923, 630, 6717, 305, 7246, 1070, 18628, 2160, 692, 28843, 19881, 2985, 1109, 1109, 307, 8016, 1109, 1109, 18853, 13052, 1109, 1109, 9202, 2985, 23645, 692, 1012, 6641, 11496, 692, 1103, 519, 3105, 3296, 267, 649, 1336, 950, 568, 1483, 269, 901, 1249, 568, 540, 1164, 4052, 2956, 269, 898, 3081, 602, 519, 8552, 540, 1169, 1483, 5365, 568, 19555, 23790, 269, 9603, 547, 713, 15340, 267, 649, 949, 1167, 731, 782, 2942, 23151, 19706, 5439, 540, 513, 1483, 5365, 543, 16956, 4733, 873, 2663, 952, 2877, 689, 519, 2318, 23151, 5439, 269, 4746, 267, 19706, 13602, 540, 1483, 6786, 616, 7363, 10268, 1152, 585, 2318, 12451, 282, 552, 3052, 1421, 26034, 540, 25541, 6786, 616, 7363, 28367, 936, 519, 2039, 21636, 547, 21636, 269, 2201, 519, 824, 1688, 267, 519, 8552, 540, 513, 1950, 5365, 1590, 581, 3254, 267, 538, 2489, 267, 689, 547, 630, 528, 689, 547, 16532, 2094, 519, 2318, 543, 2942, 4908, 3334, 540, 513, 1950, 5365, 616, 4830, 780, 31628, 332, 281, 1403, 2073, 568, 1256, 543, 568, 9642, 780, 27893, 281, 901, 5205, 5612, 689, 519, 31669, 15340, 540, 585, 1483, 6786, 780, 31628, 332, 281, 1403, 2073, 568, 1256, 543, 568, 9642, 780, 27893, 281, 901, 5205, 5612, 689, 519, 31669, 15340, 540, 6829, 538, 8701, 1106, 16317, 763, 31669, 15340, 540, 26034, 540, 1483, 6786, 568, 5310, 519, 1034, 1271, 15340, 11532, 269, 1717, 267, 972, 616, 513, 1906, 811, 649, 666, 11593, 1397, 780, 31628, 332, 281, 1323, 1256, 5365, 814, 606, 1256, 2981, 1384, 27893, 281, 18124, 538, 2474, 540, 922, 1483, 543, 16494, 2694, 676, 1547, 8074, 602, 585, 513, 1950, 5365, 547, 581, 1256, 267, 1312, 922, 1483, 543, 16494, 2694, 1590, 581, 1256, 269, 3973, 692, 31628, 332, 281, 589, 1483, 1256, 5365, 814, 513, 1483, 1256, 2981, 1384, 27893, 281, 901, 5205, 5612, 689, 4259, 538, 519, 18631, 6169, 543, 7487, 602, 519, 667, 10499, 540, 513, 1483, 543, 1256, 1599, 6971, 547, 513, 1826, 540, 25482, 2981, 279, 269, 276, 10484, 528, 649, 666, 1397, 621, 2047, 1384, 14240, 281, 589, 5365, 609, 513, 1483, 8552, 630, 7945, 607, 513, 1483, 267, 1256, 5365, 264, 568, 1419, 1572, 513, 4642, 5123, 5365, 269, 1717, 267, 4063, 602, 950, 519, 8552, 4422, 2942, 630, 6518, 621, 666, 1070, 519, 5123, 568, 2731, 2073, 711, 1547, 11048, 267, 621, 568, 1455, 547, 1289, 971, 6786, 15234, 14706, 5123, 267, 15234, 1256, 1498, 519, 5123, 17176, 1063, 543, 693, 519, 4642, 2275, 1484, 902, 540, 519, 8552, 269, 6270, 4642, 2275, 1484, 902, 3335, 2049, 693, 1970, 17931, 538, 2259, 267, 971, 607, 538, 519, 15234, 338, 14988, 984, 525, 5257, 540, 519, 667, 307, 10499, 540, 606, 674, 10499, 6885, 780, 28843, 19881, 2985, 1109, 1109, 307, 8016, 1109, 1109, 18853, 13052, 1109, 1109, 9202, 2985, 23645, 0, 258, 13174, 3848, 476, 272, 7464, 10606, 4147, 476, 1015, 14330, 304, 2060, 12226, 692, 4322, 5999, 827, 519, 7464, 10606, 4147, 476, 1015, 5062, 336, 5999, 616, 2966, 593, 519, 4493, 540, 26257, 28924, 16086, 780, 6944, 757, 692, 1012, 4147, 476, 1015, 7464, 10606, 692, 16215, 476, 272, 1107, 7089, 3590, 2986, 4147, 476, 1015, 13174, 1230, 13935, 540, 1101, 3848, 2433, 7464, 10606, 769, 713, 3848, 14330, 304, 616, 1034, 1271, 269, 4706, 1271, 547, 917, 602, 21482, 573, 779, 10406, 19748, 2742, 814, 1044, 25216, 689, 519, 21038, 269, 1656, 519, 2055, 1759, 593, 968, 3682, 557, 2334, 1535, 568, 19450, 892, 971, 1826, 540, 2055, 814, 849, 1044, 6569, 689, 21038, 780, 2162, 7464, 10606, 4147, 476, 1015, 14330, 304, 692, 304, 272, 269, 6904, 835, 540, 519, 1739, 3830, 568, 3020, 585, 21482, 573, 779, 6498, 19748, 2742, 286, 630, 320, 815, 29435, 754, 2073, 536, 284, 6555, 529 ]

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

[ 269, 3571, 960, 7854, 539, 3875, 4610, 267, 1519, 7954, 267, 6128, 267, 21042, 12695, 267, 26381, 1108, 267, 7881, 267, 2069, 267, 6214, 267, 543, 4984, 269, 769, 1880, 267, 21651, 13084, 16845, 7787, 640, 543, 25949, 1247, 1814, 1172, 532, 2915, 3901, 1143, 267, 22530, 819, 267, 543, 22166, 780, 305, 639, 8688, 781, 1272, 729, 6825, 676, 1857, 15784, 1813, 547, 1010, 796, 2180, 13454, 5784, 267, 3226, 3823, 4984, 543, 4638, 13919, 269, 1452, 3344, 540, 1010, 2123, 4978, 6766, 1010, 3318, 960, 267, 1818, 1010, 26249, 2523, 4143, 547, 3695, 519, 4276, 1063, 15806, 262, 2729, 543, 741, 7214, 3977, 780, 9556, 2544, 476, 274, 281, 7335, 26450, 8681, 21651, 781, 834, 8505, 11893, 2762, 9899, 589, 6651, 692, 305, 639, 8688, 781, 834, 8505, 11893, 2762, 2437, 3370, 538, 1614, 12531, 630, 3422, 278, 268, 3422, 280, 1070, 6227, 1010, 1101, 17288, 1296, 538, 8101, 1469, 269, 898, 2488, 3407, 5813, 883, 1010, 909, 32523, 267, 2038, 4081, 18697, 267, 543, 1646, 607, 513, 14544, 269, 10801, 519, 1433, 267, 21651, 9356, 593, 1585, 24233, 2621, 602, 8329, 547, 5935, 1010, 4555, 543, 2418, 269, 1306, 596, 1224, 267, 2015, 519, 1739, 2055, 547, 948, 13865, 1125, 1010, 10952, 7158, 1384, 265, 1215, 1281, 21651, 4766, 1010, 3347, 609, 1920, 2818, 267, 3610, 267, 543, 9164, 286, 1548, 3310, 798, 789, 723, 593, 1010, 3206, 888, 265, 6904, 3140, 2621, 543, 2686, 5322, 3337, 21651, 781, 5133, 1282, 1114, 5712, 540, 1010, 1272, 888, 265, 1215, 1281, 21651, 2769, 1010, 9687, 3909, 4978, 2429, 519, 26249, 267, 543, 1018, 2188, 3565, 547, 1346, 2242, 888, 265, 10576, 8320, 1141, 21651, 12799, 13462, 1010, 2123, 2833, 547, 6626, 10952, 2152, 780, 9556, 2544, 476, 275, 281, 21651, 781, 8177, 593, 12634, 23539, 692, 6624, 540, 519, 3584, 9619, 538, 21651, 781, 834, 8505, 11893, 2762, 257, 2611, 3810, 22317, 2221, 269, 1280, 3236, 267, 1010, 14223, 585, 1863, 2648, 12544, 1523, 8508, 1875, 3405, 1388, 3023, 543, 15982, 3347, 1759, 593, 8994, 15754, 2864, 982, 3656, 11731, 1765, 13757, 4296, 609, 2413, 5717, 1472, 931, 839, 783, 1875, 3000, 690, 18081, 267, 4874, 600, 800, 267, 543, 4638, 19802, 269, 6684, 267, 1010, 18349, 540, 6896, 4984, 24889, 609, 4207, 9840, 7282, 16712, 1436, 267, 17035, 267, 543, 519, 9668, 540, 5939, 543, 1533, 780, 2026, 596, 4497, 609, 21651, 781, 26249, 267, 1491, 4063, 540, 1022, 19320, 1063, 1010, 2093, 543, 1459, 6377, 4145, 269, 6333, 1603, 513, 8086, 4062, 9236, 543, 17804, 707, 1378, 16752, 609, 21651, 781, 593, 1808, 5396, 5941, 538, 519, 1257, 780, 9556, 2544, 476, 276, 281, 5675, 2659, 13574, 11096, 9372, 781, 32532, 2762, 692, 5331, 3054, 607, 513, 7986, 14544, 10452, 2390, 707, 1272, 543, 4876, 269, 7994, 513, 1906, 11358, 8090, 689, 707, 1378, 1995, 602, 3648, 5483, 707, 10952, 18879, 610, 3366, 596, 547, 11654, 24243, 269, 3973, 267, 2328, 513, 2110, 17770, 7240, 17250, 6220, 891, 2621, 543, 7713, 875, 789, 9305, 547, 707, 7214, 2208, 269, 5457, 547, 9772, 513, 2239, 5639, 2147, 547, 21651, 781, 6596, 543, 2502, 3159, 780, 9961, 713, 3635, 267, 1832, 538, 2247, 602, 1169, 14544, 781, 3460, 568, 2189, 282, 3976, 267, 972, 1058, 581, 1100, 20772, 602, 707, 2619, 10502, 19141, 1346, 540, 1134, 8153, 5515, 899, 21651, 269, 5502, 267, 1445, 593, 13031, 519, 8076, 4720, 540, 707, 10952, 3961, 998, 9423, 780, 6962, 281, 4197, 11096, 14279, 3414, 4256, 22032, 692, 3528, 6313, 26450, 8681, 21651, 781, 834, 8505, 11893, 2762, 2437, 713, 1576, 1770, 6322, 547, 6542, 519, 2956, 540, 4974, 15806, 262, 2729, 950, 5275, 547, 1174, 741, 2093, 4628, 269, 1635, 9301, 519, 7096, 4296, 1063, 5030, 2833, 543, 10952, 1660, 902, 267, 596, 3986, 707, 2702, 547, 5660, 543, 16472, 3309, 16752, 269, 5015, 267, 2502, 609, 15806, 262, 17770, 13132, 2636, 596, 547, 14719, 622, 707, 1378, 10952, 18330, 267, 5807, 2565, 1582, 26190, 1898, 585, 7214, 2208, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3964, 2923, 4043, 547, 9446, 1864, 607, 835, 540, 519, 1390, 2387, 20459, 619, 685, 540, 519, 476, 736, 628, 2540, 543, 547, 930, 6708, 646, 729, 267, 855, 646, 729, 849, 513, 1883, 2054, 626, 585, 519, 7629, 6058, 10620, 269, 1133, 342, 9231, 569, 610, 711, 267, 21651, 5280, 2482, 519, 24536, 585, 1082, 540, 519, 16918, 779, 6272, 585, 519, 2063, 2540, 543, 3564, 269, 1323, 856, 4944, 7505, 19473, 626, 267, 21651, 1705, 1454, 547, 2442, 1125, 543, 3895, 19473, 1143, 538, 519, 476, 736, 628, 2540, 607, 646, 729, 519, 2278, 540, 811, 982, 24239, 2835, 543, 936, 1079, 8536, 4930, 269, 1656, 4352, 646, 568, 3622, 9833, 607, 513, 14544, 543, 4708, 5859, 518, 267, 1010, 2093, 827, 1312, 2486, 543, 519, 1367, 779, 1909, 1369, 621, 616, 11371, 1231, 1227, 28110, 4724, 2698, 23540, 267, 19163, 585, 513, 968, 27023, 881, 2486, 892, 543, 513, 968, 338, 17532, 18678, 1158, 2229, 892, 2111, 547, 17997, 4708, 269, 3509, 540, 2221, 779, 2042, 666, 581, 2404, 609, 1010, 7506, 971, 607, 281, 16377, 267, 15333, 4003, 267, 32270, 267, 1596, 4593, 8462, 267, 2551, 1852, 543, 6937, 540, 513, 835, 8996, 2229, 563, 1103, 1082, 2081, 267, 1018, 519, 2296, 2006, 26450, 8681, 21651, 11542, 585, 1347, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 3342, 14279, 262, 32532, 13132, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 4317, 12207, 1299, 5369, 5505, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

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

[ 0, 5970, 596, 2479, 1336, 3054, 31325, 10145, 569, 693, 513, 6656, 540, 1957, 267, 18516, 540, 1141, 547, 1256, 2253, 1603, 286, 6787, 596, 2461, 4050, 940, 513, 6101, 4484, 610, 3478, 3860, 609, 30951, 267, 13215, 519, 1148, 540, 3625, 4484, 1603, 568, 513, 5578, 602, 1169, 14971, 5856, 1058, 4865, 269, 3245, 13167, 8903, 759, 6979, 547, 8888, 3750, 2275, 10248, 19297, 267, 3625, 5022, 616, 513, 11684, 543, 1898, 1907, 538, 519, 1158, 540, 2854, 2792, 269, 769, 713, 2376, 267, 649, 786, 3391, 596, 998, 519, 4909, 2553, 543, 3407, 4388, 547, 948, 596, 2328, 9159, 3625, 5022, 609, 8897, 269, 1924, 10544, 513, 4050, 543, 1957, 267, 543, 1577, 779, 4685, 883, 519, 3078, 1158, 540, 3625, 4484, 1603, 1927, 2336, 268, 4197, 519, 17943, 540, 13332, 16707, 454, 268, 13332, 16707, 281, 589, 18043, 6651, 454, 268, 19805, 519, 9406, 13088, 543, 10049, 585, 13332, 14594, 5675, 454, 268, 29923, 519, 7743, 12856, 543, 14474, 540, 13332, 16707, 454, 268, 9669, 585, 31514, 1849, 10846, 543, 3367, 1464, 538, 13332, 16707, 454, 268, 17006, 9608, 25291, 281, 11300, 15689, 585, 13332, 16707, 454, 268, 5871, 27190, 1389, 547, 3680, 1879, 5675, 13332, 16707, 454, 268, 1323, 16869, 779, 6651, 547, 1230, 3272, 532, 12333, 1143, 538, 13332, 14594, 5675, 454, 268, 32279, 18542, 5999, 454, 268, 654, 571, 6137, 5455, 454, 8139, 519, 17943, 540, 13332, 16707, 454, 28343, 16707, 281, 589, 18043, 6651, 454, 28343, 5022, 267, 849, 1634, 607, 968, 2745, 892, 610, 968, 22496, 6823, 892, 5022, 267, 616, 513, 2442, 2511, 540, 1603, 609, 2312, 543, 12050, 18116, 602, 616, 1419, 2938, 538, 4191, 267, 19297, 267, 543, 14245, 269, 1358, 616, 3362, 25992, 676, 741, 7833, 4463, 543, 8700, 267, 543, 1142, 4484, 568, 513, 4396, 267, 2347, 3337, 609, 1100, 3606, 30996, 880, 906, 269, 568, 1898, 585, 4896, 3168, 547, 3927, 5968, 609, 9355, 543, 31824, 563, 2691, 1210, 3625, 5022, 267, 621, 779, 1271, 547, 1832, 538, 2247, 513, 1906, 1883, 2798, 547, 2327, 6099, 2164, 269, 17616, 267, 2141, 946, 3854, 5022, 585, 11007, 543, 5021, 1764, 269, 901, 786, 3986, 519, 1850, 2225, 543, 1118, 707, 5048, 1796, 856, 269, 3958, 267, 2226, 5812, 19437, 1063, 1142, 4484, 547, 2057, 1022, 7715, 3429, 610, 10539, 269, 2290, 2500, 9133, 568, 547, 4734, 513, 13581, 7934, 1063, 1142, 4484, 267, 4180, 602, 789, 616, 1142, 10646, 762, 563, 5194, 2629, 2460, 547, 2015, 568, 519, 11098, 540, 519, 18116, 269, 4595, 3625, 5022, 723, 513, 4396, 543, 5230, 5920, 267, 621, 568, 5227, 547, 946, 513, 23198, 15262, 610, 4050, 547, 3035, 519, 5551, 1198, 269, 8347, 19234, 609, 1114, 1603, 7405, 547, 1265, 519, 835, 602, 1655, 17015, 707, 2511, 543, 5932, 11617, 13267, 3625, 5022, 563, 15563, 267, 798, 711, 30391, 519, 2956, 540, 2259, 269, 6145, 1022, 1148, 1106, 267, 13215, 3625, 5022, 3217, 942, 543, 9639, 269, 6875, 5413, 540, 2259, 9212, 2139, 2228, 610, 1711, 707, 1378, 269, 5590, 11735, 6131, 942, 547, 13217, 707, 4480, 543, 4603, 609, 1585, 4484, 13257, 267, 7306, 267, 543, 6163, 269, 8617, 2259, 786, 17216, 948, 596, 2744, 6015, 543, 15334, 538, 2870, 3750, 2275, 10248, 3625, 5022, 563, 24400, 519, 9406, 13088, 543, 10049, 585, 13332, 14594, 5675, 454, 17730, 11617, 13267, 3625, 5022, 3340, 6297, 5542, 540, 519, 2645, 543, 2326, 269, 3371, 616, 930, 1898, 3688, 596, 1058, 2015, 547, 2327, 707, 1603, 6763, 856, 12050, 569, 912, 268, 7433, 281, 8838, 585, 513, 5347, 543, 19756, 1957, 602, 666, 16641, 519, 2597, 540, 519, 13504, 610, 5862, 1510, 11702, 610, 2112, 4771, 269, 6333, 1210, 23198, 5373, 4574, 610, 7463, 4484, 532, 21181, 4481, 2966, 585, 3625, 4484, 532, 563, 268, 6755, 15078, 281, 589, 1434, 2298, 15513, 568, 4105, 585, 11516, 4221, 543, 4058, 707, 4484, 13257, 269, 20996, 22796, 609, 8795, 1291, 11098, 525, 666, 581, 3730, 585, 8236, 1114, 1899, 12035, 543, 8856, 563, 268, 623, 839, 610, 4460, 619, 281, 1879, 621, 2501, 547, 538, 6362, 707, 3625, 5022, 267, 3442, 23445, 610, 12508, 609, 513, 5812, 2095, 540, 13504, 543, 513, 3099, 540, 1899, 11097, 2195, 269, 6733, 585, 1164, 7779, 20119, 610, 28778, 12508, 602, 4465, 1406, 28201, 936, 942, 563, 268, 681, 592, 619, 543, 18135, 32484, 2471, 281, 1677, 2226, 2973, 543, 26546, 8728, 267, 513, 6325, 14610, 610, 2786, 8354, 568, 16832, 269, 6733, 585, 12001, 610, 4496, 17710, 609, 2312, 24795, 585, 4977, 7403, 563, 268, 661, 6652, 619, 281, 27190, 1389, 4755, 256, 7767, 538, 513, 1434, 2144, 6471, 547, 3362, 2953, 1022, 6959, 1510, 1159, 644, 3101, 610, 14124, 519, 1957, 269, 918, 928, 12184, 21971, 619, 616, 2523, 13561, 585, 9427, 27948, 610, 23315, 7436, 1510, 6028, 22016, 563, 8855, 267, 519, 1318, 2645, 711, 1152, 5351, 538, 8236, 8856, 543, 6111, 855, 849, 3986, 519, 2949, 3308, 9029, 540, 707, 3625, 4484, 532, 269, 15331, 609, 1114, 2645, 543, 2326, 547, 1265, 519, 3501, 4999, 602, 17015, 707, 2511, 543, 6770, 707, 3625, 4484, 13144, 547, 1272, 563, 22913, 532, 519, 7743, 12856, 543, 14474, 540, 13332, 16707, 454, 28343, 5022, 267, 849, 1634, 607, 17808, 2511, 267, 616, 513, 4922, 1031, 3898, 585, 1603, 6101, 1870, 5022, 269, 568, 1898, 585, 2870, 513, 3318, 543, 25509, 2792, 269, 1635, 1739, 513, 1906, 1883, 4808, 267, 596, 666, 2327, 602, 707, 3625, 5022, 616, 1134, 268, 23457, 267, 11617, 13267, 267, 543, 3927, 6655, 707, 5048, 563, 2414, 1376, 267, 621, 568, 1271, 547, 946, 513, 13944, 602, 568, 3362, 28505, 543, 3318, 267, 971, 607, 8648, 1715, 4936, 610, 1488, 658, 267, 609, 513, 3044, 13944, 2450, 540, 476, 1321, 2798, 269, 5457, 547, 1305, 707, 1257, 12972, 547, 2451, 268, 3286, 1881, 267, 3246, 513, 2973, 543, 7833, 1413, 2429, 707, 4484, 269, 22982, 519, 14103, 11090, 547, 11168, 1271, 1344, 610, 26333, 267, 1818, 873, 1796, 856, 547, 519, 5467, 269, 3958, 267, 1331, 707, 3346, 1344, 693, 519, 1283, 540, 519, 4484, 267, 13988, 609, 519, 1318, 14345, 267, 3850, 519, 18579, 547, 3362, 4431, 547, 707, 19359, 563, 2691, 1785, 1005, 707, 3625, 4484, 267, 1331, 513, 2312, 543, 13801, 1641, 1899, 602, 6257, 519, 3483, 540, 707, 4484, 269, 7427, 713, 609, 513, 30251, 543, 3318, 2892, 16615, 267, 5466, 519, 18579, 609, 741, 2953, 2140, 543, 2012, 269, 769, 519, 1560, 540, 519, 4484, 267, 946, 9433, 547, 10891, 707, 4555, 543, 5094, 1114, 2093, 267, 4180, 9355, 543, 25843, 269, 22982, 16886, 2798, 610, 796, 333, 3518, 1229, 8638, 267, 2813, 609, 519, 14103, 454, 268, 11090, 267, 547, 1459, 1344, 538, 513, 13801, 543, 2653, 3562, 22345, 6073, 269, 5269, 2386, 547, 9959, 707, 4484, 676, 11589, 7071, 585, 519, 18579, 779, 942, 543, 7156, 267, 10678, 609, 513, 1330, 974, 748, 14656, 543, 707, 15040, 269, 1635, 20170, 547, 891, 4808, 267, 596, 666, 4487, 519, 1697, 2497, 543, 3898, 540, 3625, 5022, 267, 6028, 513, 9434, 12705, 540, 3318, 1143, 538, 782, 707, 2854, 19359, 563, 268, 769, 4621, 11962, 4484, 2450, 281, 2290, 540, 519, 1034, 11342, 9073, 568, 22522, 521, 1944, 540, 519, 5022, 269, 5269, 2386, 547, 2226, 513, 7833, 2450, 2429, 707, 1257, 547, 3035, 513, 23887, 543, 25509, 1267, 563, 268, 8555, 704, 19437, 281, 18648, 19437, 1063, 5022, 543, 1913, 666, 1118, 707, 3625, 5022, 2408, 16081, 6244, 543, 2352, 547, 1224, 269, 8073, 2614, 2230, 1063, 1142, 4484, 543, 2262, 547, 3986, 9355, 543, 1850, 2225, 563, 268, 769, 24014, 1899, 11098, 281, 674, 9430, 547, 2226, 5812, 1899, 11098, 2429, 707, 3625, 5022, 666, 7519, 741, 3308, 3666, 269, 9796, 3007, 547, 519, 11098, 540, 1142, 8482, 267, 4180, 789, 616, 7833, 585, 513, 3318, 1413, 563, 268, 10598, 22162, 2786, 3515, 543, 7285, 281, 13332, 5022, 7048, 593, 2786, 3515, 543, 7285, 585, 741, 10058, 3337, 269, 3680, 1793, 14563, 610, 19514, 3515, 602, 666, 1253, 677, 519, 4484, 13257, 543, 14207, 519, 2949, 12716, 563, 19522, 585, 31514, 1849, 10846, 543, 3367, 1464, 538, 13332, 16707, 454, 28343, 5022, 616, 513, 2442, 3903, 585, 2870, 3750, 2275, 10248, 4191, 267, 19297, 267, 543, 24657, 269, 1717, 267, 4180, 602, 707, 3625, 5022, 616, 2312, 543, 2653, 547, 1224, 568, 1898, 585, 3927, 14379, 707, 5048, 269, 7427, 891, 4388, 547, 3986, 519, 9355, 543, 31824, 540, 707, 3625, 5022, 912, 26705, 1154, 281, 1879, 621, 2501, 547, 3625, 5022, 267, 1697, 11249, 568, 1883, 269, 2422, 513, 12050, 521, 753, 1606, 518, 604, 13944, 267, 971, 607, 1488, 658, 610, 4477, 23439, 3821, 267, 547, 1118, 707, 5022, 1796, 856, 269, 21561, 519, 4484, 19437, 5594, 547, 2061, 7715, 3429, 267, 855, 2057, 7050, 19437, 267, 799, 666, 1118, 707, 1257, 2408, 771, 329, 31212, 563, 6944, 2858, 281, 19793, 1324, 513, 1434, 4334, 1063, 707, 5022, 543, 519, 4282, 568, 2629, 585, 31824, 269, 8838, 585, 513, 4158, 2681, 585, 707, 5022, 267, 971, 607, 3109, 610, 513, 2620, 12094, 267, 543, 1118, 2386, 519, 4282, 568, 513, 14402, 2681, 269, 901, 4334, 786, 2327, 602, 707, 3625, 5022, 616, 3362, 10646, 762, 689, 519, 4282, 543, 666, 581, 3362, 1224, 689, 513, 3845, 563, 23917, 281, 6333, 519, 2450, 540, 707, 3625, 5022, 267, 607, 621, 2047, 5222, 31824, 269, 1280, 4191, 610, 19297, 602, 786, 581, 9763, 689, 7192, 541, 267, 1904, 585, 3677, 5022, 547, 2327, 15287, 269, 2201, 519, 824, 1688, 267, 952, 707, 3625, 5022, 786, 581, 9763, 909, 2673, 267, 596, 666, 979, 585, 513, 4130, 2450, 269, 5457, 602, 1850, 2225, 1058, 2141, 581, 3922, 1242, 936, 15312, 563, 8967, 5217, 281, 7743, 19437, 1063, 5022, 568, 1898, 585, 9355, 269, 3680, 32036, 3429, 707, 3625, 5022, 267, 607, 621, 666, 1118, 873, 2352, 547, 1224, 269, 5269, 2386, 1142, 4484, 814, 2614, 4055, 1472, 621, 267, 3850, 873, 547, 13236, 269, 17797, 519, 19437, 2394, 596, 1265, 519, 1318, 3666, 602, 5849, 707, 3625, 5022, 616, 2312, 543, 11617, 13267, 563, 2704, 9892, 281, 9796, 3007, 547, 519, 12972, 540, 707, 3625, 5022, 267, 607, 621, 666, 1860, 519, 2949, 5920, 269, 6787, 596, 3442, 2451, 12972, 267, 4099, 12972, 267, 610, 1318, 12972, 267, 2327, 11007, 2429, 707, 1374, 269, 901, 786, 1711, 513, 16517, 543, 6896, 1413, 543, 2061, 10539, 563, 4415, 891, 4388, 267, 596, 666, 3986, 519, 9355, 543, 31824, 540, 707, 3625, 5022, 267, 9159, 707, 5304, 543, 3927, 23187, 707, 5048, 269, 5901, 538, 2247, 602, 621, 779, 1271, 547, 10880, 513, 3666, 1063, 5876, 543, 31824, 267, 607, 596, 1616, 707, 3625, 5022, 547, 6952, 519, 3750, 1247, 1869, 1373, 2653, 547, 10146, 269, 1924, 1205, 3860, 267, 4603, 609, 1114, 23935, 543, 7306, 267, 543, 4585, 707, 3625, 5022, 2097, 547, 1272, 2336, 29002, 9608, 25291, 281, 11300, 15689, 585, 13332, 16707, 454, 28343, 5022, 616, 513, 2442, 3903, 585, 4946, 513, 2123, 5905, 547, 1585, 6272, 543, 3785, 269, 2060, 741, 12050, 543, 11295, 1106, 267, 789, 1683, 513, 4396, 5748, 547, 6451, 3860, 2609, 602, 1118, 707, 4484, 532, 5963, 2189, 269, 3371, 616, 930, 3078, 2081, 596, 666, 1039, 513, 2123, 5905, 547, 707, 3625, 5022, 912, 272, 269, 2878, 21615, 749, 880, 906, 4995, 4208, 6529, 547, 10750, 543, 2241, 950, 596, 666, 15690, 909, 707, 3625, 5022, 609, 3750, 2275, 10248, 30996, 880, 906, 286, 6333, 4946, 2609, 899, 6801, 267, 12271, 267, 610, 5810, 1472, 519, 8728, 540, 519, 5022, 547, 1711, 513, 627, 15501, 673, 1198, 269, 17968, 267, 596, 666, 4603, 609, 3270, 899, 1135, 6390, 15956, 610, 26145, 547, 1039, 5854, 3599, 543, 3178, 547, 707, 6272, 563, 273, 269, 2878, 17806, 999, 4995, 29892, 609, 18282, 666, 14678, 21592, 519, 3308, 9029, 540, 707, 3625, 5022, 269, 8347, 6220, 2326, 899, 5958, 267, 1350, 7867, 267, 610, 17285, 23240, 547, 2285, 707, 5022, 513, 28241, 1745, 269, 3502, 1152, 786, 713, 1118, 707, 6272, 1796, 856, 267, 855, 621, 786, 849, 1039, 513, 4241, 1257, 1116, 10155, 547, 707, 4484, 532, 269, 15331, 609, 1114, 18282, 547, 1265, 519, 835, 602, 1655, 17015, 707, 5497, 12716, 563, 274, 269, 2878, 8624, 832, 4995, 2290, 540, 519, 15864, 2081, 547, 1039, 513, 2123, 5905, 547, 707, 3625, 5022, 568, 676, 1210, 513, 3099, 540, 9159 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9588, 268, 276, 844, 820, 282, 543, 865, 593, 780, 2414, 5635, 1079, 16767, 538, 2474, 540, 24373, 267, 596, 10208, 835, 9588, 689, 519, 824, 543, 6318, 476, 1015, 547, 602, 1379, 281, 476, 1015, 22677, 300, 272, 5336, 273, 6393, 2690, 1383, 267, 952, 519, 9588, 540, 835, 844, 820, 568, 476, 277, 543, 1776, 568, 476, 275, 267, 982, 519, 3017, 538, 3172, 6421, 568, 476, 273, 267, 865, 519, 6793, 13091, 695, 1389, 476, 1015, 317, 273, 610, 476, 1911, 2053, 607, 2182, 607, 519, 7646, 518, 835, 780, 293, 3555, 531, 3604, 960, 519, 1482, 1259, 269, 21561, 519, 9588, 676, 476, 271, 269, 272, 267, 543, 596, 9062, 519, 24373, 676, 476, 1015, 22677, 271, 269, 272, 1070, 610, 827, 476, 272, 269, 28796, 30867, 2333, 540, 476, 2918, 10065, 21561, 519, 9588, 676, 476, 271, 269, 274, 267, 543, 519, 24373, 3592, 4010, 29156, 269, 2334, 781, 513, 13561, 4341, 540, 14853, 547, 1832, 538, 2247, 780, 4537, 1136, 3884, 1405, 519, 1152, 1259, 547, 5635, 16767, 269, 6271, 1455, 1935, 568, 547, 2911, 827, 519, 3448, 5666, 540, 1648, 789, 5305, 269, 1677, 798, 602, 267, 1175, 7696, 835, 2241, 3063, 1900, 281, 10208, 519, 3172, 6421, 543, 1287, 1039, 476, 2004, 260, 1354, 1210, 519, 1267, 607, 513, 1379, 540, 476, 1015, 269, 769, 13004, 701, 752, 267, 519, 4542, 568, 476, 1015, 317, 9230, 300, 272, 5336, 273, 12684, 272, 269, 276, 6393, 263, 1607, 1568, 1317, 519, 1648, 10253, 609, 476, 274, 270, 273, 540, 9588, 267, 585, 4128, 602, 1810, 1405, 2339, 24355, 29806, 1383, 281, 9236, 519, 9588, 268, 280, 269, 271, 13091, 538, 3567, 609, 519, 9588, 268, 277, 269, 274, 844, 820, 602, 13351, 1715, 10215, 538, 5988, 269, 634, 3017, 538, 3172, 6421, 568, 476, 273, 269, 278, 267, 865, 519, 3017, 538, 24373, 568, 476, 1015, 317, 273, 269, 278, 267, 610, 1175, 936, 476, 4335, 2053, 607, 2462, 12544, 4137, 596, 4312, 4440, 2938, 269, 634, 3017, 538, 1648, 267, 2705, 267, 568, 476, 1015, 22677, 273, 269, 278, 265, 272, 269, 276, 264, 815, 476, 1015, 317, 275, 269, 4962, 267, 610, 827, 476, 1556, 267, 13136, 2053, 780, 2791, 666, 1451, 513, 2603, 811, 693, 519, 772, 2529, 269, 24959, 11752, 781, 13091, 3135, 780, 16829, 538, 5113, 0, 258, 25181, 1587, 692, 1103, 6128, 267, 519, 9703, 1587, 630, 320, 21993, 18502, 269, 9703, 12045, 267, 9703, 8691, 267, 6418, 8691, 267, 6418, 12045, 267, 610, 6418, 8174, 566, 264, 568, 513, 4110, 6567, 272, 1884, 3187, 10474, 593, 519, 16538, 7223, 540, 11186, 3029, 593, 513, 5347, 32032, 269, 634, 9703, 1587, 267, 3957, 538, 11685, 547, 519, 16538, 1587, 267, 1058, 711, 581, 11821, 609, 606, 6418, 1587, 269, 634, 9703, 1587, 3852, 373, 311, 22886, 568, 3006, 2854, 607, 2473, 22886, 16804, 272, 6540, 1012, 9502, 692, 763, 9703, 1587, 568, 3989, 547, 581, 519, 19432, 540, 513, 11186, 1106, 609, 513, 6152, 2361, 269, 4935, 952, 2473, 568, 513, 6152, 2361, 593, 519, 32032, 631, 267, 1287, 692, 21851, 6234, 1422, 23273, 23214, 311, 4153, 3712, 517, 1422, 29604, 476, 3867, 335, 12917, 300, 9385, 1729, 1422, 29604, 476, 3867, 335, 268, 272, 12917, 300, 264, 10592, 529, 519, 4786, 799, 15920, 513, 533, 27322, 28911, 547, 519, 630, 335, 6629, 272, 9984, 845, 3852, 373, 311, 22886, 3989, 676, 519, 3959, 602, 692, 21851, 6234, 22570, 23273, 23214, 311, 4153, 18652, 3738, 263, 311, 3709, 272, 9574, 315, 24126, 2073, 311, 3709, 335, 268, 272, 348, 21174, 18652, 630, 311, 267, 311, 3709, 272, 9574, 315, 24126, 2073, 311, 3709, 335, 268, 272, 16585, 10592, 1721, 1022, 6152, 4610, 2473, 272, 267, 10371, 1421, 2473, 335, 6629, 272, 780, 763, 9703, 1587, 568, 519, 2189, 1884, 3187, 10474, 540, 4110, 6567, 272, 593, 519, 16538, 7223, 971, 602, 593, 835, 268, 13257, 14668, 692, 21851, 6234, 1422, 6234, 1422, 23273, 23214, 311, 4153, 10401, 31386, 10401, 630, 311, 21174, 30848, 1422, 10401, 2073, 311, 315, 26917, 476, 4151, 10484, 3602, 2340, 509, 357, 2073, 2340, 509, 358, 568, 519, 546, 7081, 30010, 1063, 14668, 543, 519, 6152, 2473, 269, 1401, 14032, 569, 267, 952, 16061, 568, 513, 533, 27322, 543, 29339, 568, 513, 7117, 27322, 267, 1287, 692, 21851, 6234, 1422, 23273, 23214, 311, 32710, 15883, 1422, 342, 8354, 1422, 24472, 3738, 284, 7268, 23273, 23214, 311, 4153, 15883, 3738, 315, 342, 8354, 1422, 24472, 1341, 8987, 272, 22722, 335, 4153, 15883, 1422, 342, 8354, 22570, 23273, 23214, 311, 4153, 24472, 15426, 10592, 763, 1657, 6935, 3081, 602, 519, 9703, 1587, 1073, 324, 903, 513, 28439, 2274, 30519, 714, 4341, 269, 1323, 5106, 17598, 5276, 640, 543, 513, 2274, 30519, 714, 4341, 568, 1419, 1572, 513, 12045, 780, 1012, 16544, 692, 3528, 24431, 2096, 11496, 540, 3029, 10484, 21851, 6234, 1422, 23273, 23214, 311, 4153, 23273, 23214, 312, 4153, 18652, 815, 10559, 23273, 23214, 312, 4153, 23273, 23214, 311, 4153, 18652, 476, 10592, 663, 865, 12276, 6234, 1422, 23273, 23214, 311, 4153, 15132, 1422, 23273, 23214, 311, 13157, 271, 23201, 901, 949, 581, 3379, 547, 519, 16538, 12045, 546, 267, 799, 814, 519, 3959, 546, 323, 815, 476, 271, 780, 763, 9703, 1587, 12211, 519, 16538, 12045, 543, 17389, 12045, 540, 11186, 3029, 676, 519, 14295, 534, 4542, 630, 320, 21993, 18502, 269, 14295, 534, 3961, 267, 14295, 534, 4630, 582, 4878, 4542, 314, 273, 316, 610, 14295, 534, 9059, 4542, 17107, 21851, 6234, 11513, 24837, 2715, 299, 3686, 3709, 311, 4153, 18652, 815, 323, 7268, 23273, 23214, 311, 4153, 18652, 3738, 10954, 23273, 23214, 311, 348, 323, 315, 18652, 1547, 10592, 1607, 3961, 11225, 513, 546, 7081, 1063, 519, 16538, 543, 9703, 16755, 269, 14295, 534, 781, 3961, 568, 1271, 538, 1623, 921, 8157, 9511, 543, 2489, 25536, 281, 1294, 4090, 4786, 16804, 274, 316, 634, 14295, 534, 4630, 582, 4878, 4542, 568, 3957, 1310, 27878, 12340, 14295, 534, 16804, 275, 6540, 763, 9703, 1587, 609, 2463, 547, 519, 862, 583, 1807, 540, 1079, 6152, 4610, 12276, 6234, 2473, 20954, 12276, 6234, 962, 4151, 25389, 519, 3961, 692, 21851, 6234, 1422, 23273, 23214, 314, 311, 267, 312, 316, 18098, 3847, 314, 3189, 24837, 2715, 299, 3686, 3709, 311, 9574, 315, 23273, 23214, 312, 4153, 2431, 4940, 4151, 0, 258, 11272, 932, 1618, 543, 853, 1738, 24542, 269, 11272, 932, 1618, 25104, 350, 2353, 2339, 568, 1500, 909, 540, 8444, 25104, 350, 2311, 1682, 2270, 476, 272, 269, 5019, 976, 22791, 264, 476, 273, 269, 3026, 583, 6425, 630, 271, 264, 476, 274, 269, 5082, 6425, 11196, 2020, 1012, 19809, 593, 6249, 281, 834, 25821, 932, 1618, 543, 853, 1738, 24542, 269, 11272, 932, 1618, 25104, 350, 2353, 2339, 568, 1500, 909, 540, 8444, 25104, 350, 2311, 1682, 2270, 476, 272, 269, 5019, 976, 22791, 264, 476, 273, 269, 3026, 583, 6425, 630, 271, 264, 476, 274, 269, 5082, 6425, 11196, 17983, 1765, 19809, 13973, 1384, 25821, 932, 1618, 543, 853, 1738, 24542, 692, 25821, 932, 1618, 25104, 350, 2353, 2339, 568, 1500, 909, 540, 8444, 25104, 350, 2311, 1682, 2270, 476, 272, 269, 5019, 976, 22791, 264, 476, 273, 269, 3026, 583, 6425, 630, 271, 264, 476, 274, 269, 5082, 6425, 11196, 2020, 25187, 540, 11272, 932, 1173, 525, 25104, 350, 634, 1876, 540, 3167, 10997, 2829, 602, 899, 10997, 1065, 601, 267, 543, 6587, 10997, 4482, 269, 25104, 350, 5019, 976, 616, 9797, 9901, 543, 9211, 616, 11874, 9901, 267, 865, 789, 616, 13631, 547, 1142, 824, 269, 25104, 350, 9453, 713, 16007, 267, 9211, 1131, 711, 581, 4371, 538, 8444, 780, 25187, 540, 11272, 932, 1173, 525, 692, 25821, 10414, 634, 3196, 1063, 519, 9901, 3615, 568, 606, 3167, 3196, 269, 634, 2450, 540, 519, 3167, 3196, 5673, 593, 476, 273, 1919, 281, 476, 272, 269, 634, 2179, 540, 5279, 630, 1492, 3152, 519, 5279, 267, 519, 3152, 519, 3196, 264, 476, 273, 269, 634, 3845, 1063, 10997, 630, 1492, 2417, 519, 3845, 267, 519, 1447, 519, 3196, 2020, 25821, 12197, 25104, 350, 1323, 3167, 2361, 568, 519, 3148, 1472, 513, 9901, 1843, 1141, 3167, 4229, 666, 581, 25116, 593, 1776, 9901, 1843, 269, 630, 11847, 8215, 610, 13631, 2020, 2419, 20149, 27014, 25104, 350, 2311, 1682, 798, 711, 723, 513, 5279, 1317, 519, 1297, 540, 9211, 543, 22571, 22599, 1142, 824, 856, 269, 1401, 269, 476, 274, 22571, 22791, 264, 1299, 476, 274, 9211, 11196, 264, 815, 476, 271, 692, 2419, 20149, 27014, 1215, 798, 3615, 1205, 9901, 286, 25104, 350, 1358, 2901, 2744, 610, 6336, 9211, 269, 25104, 350, 4208, 711, 22571, 286, 1401, 269, 476, 274, 22571, 22791, 264, 1299, 476, 276, 9211, 11196, 264, 815, 476, 278, 22571, 22791, 264, 1299, 476, 273, 9211, 11196, 264, 25883, 1692, 2052, 1411, 932, 1618, 27014, 286, 25104, 350, 1703, 616, 476, 274, 2081, 3615, 666, 581, 9901, 281, 476, 272, 269, 674, 9689, 476, 273, 269, 1230, 9134, 476, 274, 269, 1473, 25934, 2878, 1103, 1142, 540, 891, 267, 1152, 519, 9211, 1847, 269, 634, 22571, 3251, 538, 519, 13540, 4373, 293, 9689, 25104, 350, 932, 1173, 532, 676, 11508, 4386, 950, 9211, 616, 968, 342, 21317, 892, 689, 835, 1843, 5196, 1776, 269, 1401, 269, 1403, 596, 946, 513, 12308, 547, 6299, 513, 5068, 14610, 267, 9211, 1847, 689, 519, 12308, 547, 519, 14610, 269, 634, 14610, 12374, 9211, 543, 519, 12308, 19380, 9211, 780, 3519, 9134, 25104, 350, 932, 1173, 532, 676, 26634, 4523, 950, 9211, 1847, 689, 835, 1843, 547, 1776, 998, 1463, 3346, 630, 339, 537, 4221, 1040, 1401, 269, 14597, 596, 5905, 606, 796, 12737, 539, 4062, 540, 4496, 609, 513, 9797, 9901, 4837, 11425, 269, 5082, 6425, 689, 519, 4496, 786, 1847, 547, 519, 4837, 11425, 269, 634, 4496, 19380, 9211, 543, 3587, 9797, 9901, 780, 5715, 25934, 25104, 350, 932, 1173, 532, 676, 15632, 4523, 950, 10997, 538, 606, 796, 12737, 539, 1843, 616, 22198, 6548, 1510, 1463, 3346, 609, 513, 9901, 1843, 269, 1401, 269, 1403, 596, 5279, 909, 513, 17891, 998, 11508, 543, 1747, 519, 17891, 2282, 4773, 540, 1957, 267, 519, 10997, 540, 519, 1957, 786, 581, 22198, 6548, 543, 519, 1957, 786, 581, 13631, 547, 519, 17891, 780, 8256, 3569, 540, 932, 1618, 25104, 350, 1879, 596, 5279, 1945, 676, 1022, 1505, 267, 1100, 10997, 616, 2813, 610, 10032, 269, 25104, 350, 634, 2338, 540, 9211, 543, 22571, 3251, 519, 1482, 269, 5082, 6425, 3274, 1847, 689, 835, 11046, 547, 1776, 267, 799, 2306, 2127, 602, 723, 1114, 10997, 780, 3519, 2265, 832, 543, 6184, 22399, 25104, 350, 1323, 5122, 18364, 568, 513, 1570, 538, 799, 10997, 666, 1847, 3362, 269, 25104, 350, 4107, 8407, 616, 1434, 26423, 1317, 930, 540, 741, 9211, 616, 1863, 547, 1847, 269, 25104, 350, 18430, 832, 616, 1031, 547, 1118, 12904, 269, 1280, 1383, 267, 513, 17689, 10260, 814, 4496, 5911, 543, 4496, 929, 29330, 269, 25104, 350, 21019, 267, 11956, 267, 543, 16035, 616, 1434, 26423, 780, 3519, 2265, 832, 543, 6184, 22399, 25104, 350, 1323, 5122, 1202, 15975, 568, 513, 1570, 538, 799, 10997, 3112, 1847, 3362, 269, 25104, 350, 6184, 22399, 798, 711, 2932, 10997, 1360, 1134, 1317, 741, 9211, 3112, 2095, 11884, 269, 634, 9211, 616, 17401, 4371, 538, 519, 8444, 540, 519, 1202, 15975, 269, 25104, 350, 634, 32229, 1570, 538, 513, 17689, 10260, 13515, 10997, 689, 6028, 519, 5911, 543, 14014, 596, 689, 3167, 8710, 269, 25104, 350, 21311, 267, 12285, 267, 4837, 267, 3574, 267, 543, 2011, 616, 1434, 1202, 22399, 780, 1805, 1738, 24542, 25104, 350, 853, 1738, 5201, 568, 519, 3167, 5279, 693, 1964, 593, 606, 1843, 269, 25104, 350, 1879, 1945, 568, 11979, 267, 621, 568, 711, 3001, 269, 25104, 350, 634, 10997, 540, 11979, 5201, 798, 711, 1847, 2476, 689, 519, 1843, 602, 789, 616, 538, 269, 1924, 267, 519, 1843, 8952, 922, 5279, 269, 25104, 350, 1401, 269, 1849, 582, 1127, 3144, 856, 540, 513, 3819, 518, 692, 25821, 2598, 8408, 25104, 350, 634, 2530, 540, 11979, 5201, 607, 10997, 1847, 1055, 606, 1843, 568, 1572, 3167, 11166, 269, 6884, 267, 3167, 11166, 4523, 7444, 269, 1401, 281, 11979, 593, 9660, 6884, 267, 3167, 11166, 4523, 3533, 269, 1401, 269, 9849, 12285, 1606, 565, 539, 10887, 593, 24095, 267, 17500, 692, 1692, 8752, 940, 22553, 692, 23409, 940, 25104, 350, 8752, 940, 2356, 16716, 519, 5207, 1448 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4028, 4720, 540, 2029, 814, 9927, 519, 1259, 649, 2661, 267, 960, 267, 543, 1256, 2932, 2883, 8852, 269, 7324, 519, 3875, 6639, 7760, 267, 9893, 2029, 814, 7153, 607, 513, 3532, 3196, 602, 814, 519, 1761, 547, 7519, 2757, 12948, 543, 8804, 9922, 269, 2755, 621, 729, 7620, 2404, 5097, 609, 19116, 899, 11670, 267, 9893, 2029, 814, 2094, 3254, 922, 1761, 547, 22499, 1585, 6080, 267, 1519, 8804, 563, 1103, 713, 2376, 267, 649, 786, 1865, 875, 9893, 2029, 568, 27200, 2757, 12948, 543, 8804, 267, 543, 2263, 519, 2009, 2104, 540, 713, 2029, 538, 519, 2883, 1158, 563, 28343, 7798, 5303, 281, 589, 16684, 11137, 454, 28343, 7798, 568, 513, 18228, 267, 7856, 24432, 2029, 602, 6087, 5150, 543, 12001, 8852, 1510, 519, 991, 585, 10827, 2456, 899, 8492, 610, 2883, 5238, 269, 898, 568, 513, 3126, 540, 4448, 7161, 267, 1142, 5627, 513, 1592, 540, 8852, 269, 4495, 513, 3625, 568, 2347, 267, 513, 1007, 3625, 568, 2813, 543, 5532, 547, 519, 3105, 835, 267, 8108, 513, 5832, 563, 763, 1344, 6740, 538, 513, 9893, 568, 24290, 543, 3112, 581, 12012, 610, 512, 2086, 1229, 609, 267, 4180, 519, 3354, 543, 8699, 540, 519, 1239, 269, 3958, 267, 9893, 13333, 593, 513, 9263, 3562, 24406, 518, 3060, 267, 2495, 602, 8852, 616, 20240, 543, 9516, 676, 3060, 5171, 267, 14874, 519, 991, 585, 3844, 8128, 563, 1692, 23204, 568, 2598, 4533, 532, 12465, 30914, 543, 16010, 454, 272, 269, 674, 2120, 543, 4258, 1653, 3690, 13905, 281, 2290, 540, 519, 1034, 1713, 2081, 602, 9893, 2029, 568, 27200, 2757, 12948, 543, 8804, 568, 676, 7175, 5488, 543, 14949, 8852, 269, 12465, 4871, 19132, 267, 2523, 3444, 31215, 8852, 267, 666, 1491, 2395, 547, 2347, 543, 1419, 1651, 584, 1164, 12375, 269, 23204, 2029, 666, 1184, 8852, 538, 513, 2339, 540, 3764, 610, 1256, 7643, 267, 609, 3648, 2539, 12375, 269, 901, 4398, 666, 4324, 1312, 1367, 3755, 543, 4213, 676, 4227, 3790, 543, 2810, 519, 3432, 540, 2883, 8852, 563, 273, 269, 24046, 8232, 281, 634, 18228, 2470, 540, 9893, 2029, 543, 922, 946, 540, 25563, 1118, 621, 11259, 547, 28892, 543, 12611, 269, 901, 2799, 3354, 666, 2569, 519, 1981, 540, 6880, 3430, 2931, 543, 3961, 17403, 267, 799, 616, 1455, 4145, 538, 2757, 12948, 543, 8804, 269, 5047, 267, 519, 11413, 540, 9893, 2636, 585, 1483, 6066, 9477, 543, 19027, 540, 8852, 267, 4227, 519, 7872, 540, 30081, 2238, 563, 274, 269, 11038, 29621, 281, 23204, 2029, 814, 519, 1761, 547, 3648, 2087, 2883, 10014, 267, 2523, 538, 3384, 2477, 269, 12465, 8492, 1419, 2154, 3573, 12319, 543, 5491, 1686, 11974, 267, 1818, 621, 2352, 585, 1082, 2043, 547, 1569, 2883, 2533, 269, 2060, 9893, 267, 2043, 666, 1711, 513, 5150, 3059, 3961, 267, 799, 666, 581, 1031, 547, 1569, 1585, 2883, 2533, 1510, 519, 991, 585, 513, 2757, 4871, 2272, 269, 901, 666, 7668, 2043, 543, 1507, 4213, 538, 3384, 2477, 547, 7119, 538, 519, 2518, 4346, 563, 275, 269, 1546, 25218, 1242, 16010, 630, 5719, 22380, 2567, 1546, 25218, 1242, 8804, 267, 610, 1546, 22380, 267, 4016, 547, 2883, 3156, 3710, 593, 9893, 2029, 602, 2832, 547, 4894, 10827, 2456, 543, 1711, 513, 811, 1930, 543, 3015, 2883, 1062, 269, 1546, 22380, 5867, 2709, 1585, 2883, 2533, 267, 1519, 23831, 267, 24228, 267, 543, 9467, 267, 1510, 519, 991, 585, 2757, 8492, 610, 2883, 5238, 269, 901, 666, 1291, 547, 811, 3608, 543, 12001, 2883, 6990, 267, 607, 1134, 607, 2799, 6735, 543, 5647, 538, 519, 2883, 5823, 563, 276, 269, 12829, 20260, 338, 281, 12829, 11731, 616, 1582, 7721, 1815, 5024, 11731, 609, 519, 2474, 540, 519, 6876, 2047, 2854, 883, 3009, 269, 1358, 8850, 14892, 950, 24441, 2175, 616, 1558, 267, 14874, 519, 991, 585, 10827, 2456, 543, 4227, 519, 1981, 540, 1480, 5470, 610, 12611, 269, 12829, 11731, 723, 519, 1761, 547, 20928, 1585, 2883, 3157, 267, 971, 607, 10211, 11650, 267, 6142, 6811, 267, 543, 19736, 9467, 267, 1818, 873, 811, 3608, 543, 5150, 563, 763, 8892, 540, 23204, 5303, 538, 16010, 454, 2026, 9893, 2029, 5170, 547, 11457, 267, 621, 568, 2693, 547, 723, 606, 1256, 3152, 1764, 593, 519, 2757, 12948, 543, 8804, 2872, 269, 11038, 5238, 616, 10115, 538, 9893, 1382, 543, 1646, 267, 3695, 1585, 946, 2665, 543, 3156, 585, 519, 2029, 269, 2368, 2009, 2104, 7835, 1331, 3844, 4871, 3059, 19728, 630, 290, 9720, 12336, 1070, 18351, 1436, 540, 7221, 267, 543, 4824, 9431, 10220, 998, 9893, 2861, 3435, 563, 28343, 7798, 2029, 814, 519, 1761, 547, 3648, 7519, 2757, 12948, 543, 8804, 267, 5356, 5488, 267, 14949, 267, 543, 811, 5150, 2883, 8852, 543, 2533, 269, 1306, 519, 2029, 5170, 547, 1020, 543, 9921, 267, 621, 568, 2693, 547, 1404, 606, 5051, 1271, 1909, 538, 519, 2104, 540, 8804, 269, 11038, 5238, 543, 22124, 1590, 3082, 543, 9784, 713, 2029, 547, 2611, 8013, 543, 2327, 513, 811, 3608, 267, 12001, 267, 543, 8537, 2883, 1062, 269, 0, 4910, 1545, 585, 8989, 593, 519, 5767, 8192, 4808, 543, 5711, 1072, 454, 3528, 6307, 32572, 454, 2026, 5313, 8387, 4363, 602, 4892, 3970, 741, 4006, 6981, 547, 948, 2061, 11528, 543, 5711, 2068, 267, 3173, 3136, 547, 2263, 875, 519, 2078, 1063, 2732, 543, 5694, 9178, 1568, 563, 288, 1353, 538, 519, 5988, 4750, 540, 519, 1977, 15482, 5948, 630, 297, 4696, 288, 264, 949, 2709, 1007, 10881, 269, 12824, 538, 6792, 8947, 519, 9860, 540, 2144, 657, 633, 5694, 5957, 1107, 519, 26464, 2530, 540, 5959, 2182, 5160, 1107, 538, 513, 1895, 540, 10708, 563, 763, 3173, 1031, 513, 1426, 18102, 547, 2307, 811, 982, 476, 6110, 12322, 827, 741, 4616, 540, 4829, 10433, 267, 5026, 10425, 267, 6653, 3327, 730, 10425, 543, 25970, 543, 15755, 3536, 269, 634, 10708, 941, 1287, 8947, 585, 5694, 5957, 563, 763, 1353, 1336, 811, 982, 476, 1789, 2600, 540, 519, 12322, 1185, 4503, 19596, 269, 12824, 11943, 602, 1851, 519, 16098, 543, 3536, 519, 1053, 10057, 267, 6653, 7091, 553, 8329, 547, 519, 1034, 547, 519, 1053, 685, 5694, 11761, 563, 5194, 1957, 538, 519, 5988, 808, 4696, 288, 6743, 693, 519, 2732, 268, 7394, 1072, 4276, 689, 513, 1114, 5086, 563, 10932, 5267, 602, 1082, 1453, 945, 616, 14968, 3068, 606, 11506, 1981, 540, 5694, 9178, 267, 5206, 4589, 267, 13191, 14858, 580, 2401, 543, 18332, 24806, 267, 1312, 20485, 693, 31089, 7970, 2160, 563, 302, 1537, 1072, 4648, 666, 1404, 513, 1909, 538, 5466, 1312, 12963, 8377, 543, 5694, 9178, 676, 6220, 2597, 9584, 883, 5959, 11564, 563, 2108, 303, 8824, 8377, 568, 513, 1857, 1072, 6161, 8506, 606, 954, 2889, 32216, 1935, 547, 1416, 2223, 789, 5206, 269, 968, 305, 719, 710, 2597, 9584, 540, 12963, 2550, 543, 2038, 6304, 998, 2069, 543, 29748, 540, 2550, 547, 513, 10805, 1019, 2045, 1014, 6484, 626, 543, 10629, 585, 811, 538, 3829, 6268, 949, 948, 2569, 2068, 1981, 3034, 1103, 741, 9241, 9783, 8192, 4808, 585, 519, 4182, 267, 5313, 4966, 849, 4126, 547, 948, 2232, 1312, 11528, 543, 5711, 2068, 676, 28409, 4892, 547, 3970, 4006, 547, 1100, 811, 982, 476, 1015, 2600, 540, 3232, 8477, 10057, 563, 1103, 3045, 23395, 519, 1007, 4808, 267, 789, 12038, 827, 2963, 16046, 4006, 4616, 547, 11506, 1981, 540, 8377, 267, 3987, 267, 9025, 2068, 543, 5694, 9178, 563, 1103, 606, 30569, 547, 519, 8192, 4808, 267, 789, 6045, 875, 789, 16668, 741, 8753, 827, 519, 2078, 1063, 4006, 543, 5694, 9178, 563, 4910, 1545, 3769, 513, 9836, 2689, 5342, 676, 519, 2622, 2657, 9257, 630, 21766, 1916, 8310, 1032, 14959, 1572, 2390, 2477, 547, 3970, 4006, 6981, 607, 513, 1259, 540, 5466, 8377, 543, 5694, 9178, 5001, 563, 14071, 723, 4396, 2963, 602, 5329, 6981, 540, 1863, 14836, 547, 1447, 982, 476, 1015, 2600, 540, 2698, 1648, 6981, 6971, 519, 1981, 540, 14968, 267, 8377, 543, 5694, 9178, 2223, 1767, 25845, 1723, 645, 3757, 8619, 267, 8689, 540, 14959, 779, 4972, 540, 12594, 585, 2657, 543, 4886, 267, 1767, 538, 513, 3377, 5305, 827, 519, 4808, 269, 968, 21430, 3609, 2242, 547, 1489, 713, 786, 581, 1883, 952, 2477, 616, 547, 2661, 909, 547, 741, 19647, 547, 2569, 519, 11411, 540, 1875, 10919, 27809, 3676, 3034, 763, 3919, 1336, 602, 513, 2417, 5786, 547, 2630, 476, 276, 2600, 610, 10199, 476, 1839, 10101, 630, 277, 18324, 9398, 264, 829, 1554, 1131, 1683, 3606, 1072, 2640, 563, 2108, 28074, 540, 519, 14836, 10057, 2221, 616, 1412, 327, 5200, 262, 538, 9268, 3536, 602, 616, 711, 2356, 2938, 607, 26265, 2223, 14959, 14129, 538, 519, 5305, 269, 968, 2690, 1383, 267, 476, 272, 29537, 540, 11337, 577, 1575, 3568, 1472, 476, 275, 10101, 630, 19925, 476, 272, 23188, 264, 540, 1863, 14836, 269, 589, 2582, 666, 540, 4006, 1606, 11548, 2989, 14614, 3568, 909, 547, 476, 2412, 10101, 630, 19925, 476, 1015, 18324, 9398, 264, 540, 1863, 14836, 3034, 301, 7627, 602, 5711, 2175, 1860, 476, 274, 269, 280, 5479, 1004, 2066, 519, 8608, 267, 4589, 540, 513, 2101, 476, 1001, 275, 1353, 3370, 538, 645, 10157, 5398, 2657, 723, 1500, 513, 2013, 585, 519, 27290, 5786, 540, 14836, 5001, 269, 634, 4589, 733, 2105, 968, 1492, 1699, 4485, 547, 9013, 5959, 1286, 625, 616, 17528, 547, 2061, 1164, 2157, 540, 1286, 625, 538, 4079, 538, 782, 2477, 543, 713, 12211, 547, 519, 1699, 1164, 1377, 540, 4006, 6981, 2066, 519, 8608, 3034, 2414, 1054, 9178, 814, 1044, 17941, 513, 3818, 1922, 716, 3645, 2068, 267, 609, 2732, 4730, 513, 1909, 2059, 609, 5711, 4551, 543, 824, 3984, 2188, 269, 3509, 2090, 723, 8947, 519, 25029, 540, 9178, 267, 543, 519, 1909, 602, 2732, 4249, 538, 1286, 625, 269, 634, 1764, 540, 4006, 6653, 2989, 16098, 267, 610, 9399, 24871, 723, 1044, 4922, 21503, 563, 2108, 19617, 2730, 2090, 2560, 17647, 5532, 9399, 24871, 609, 606, 2799, 1981, 540, 5694, 9178, 1851, 1453, 267, 543, 930, 723, 1336, 602, 519, 23639, 2157, 4122, 1336, 538, 7091, 553, 543, 5026, 10425, 2144, 1712, 5694, 19596, 2223, 24298, 513, 7917, 8381, 9652, 7690, 1382, 10282, 593, 519, 1764, 540, 7091, 553, 593, 1453, 779, 1072, 269, 968, 14399, 945, 8532, 811, 14614, 543, 7319, 13427, 267, 799, 1082, 9399, 24871, 2270, 267, 616, 693, 2799, 1981, 540, 9178, 539, 267, 7508, 543, 4904, 4522, 3034, 4517, 1934, 568, 835, 811, 4277, 4062, 540, 1644, 3377, 563, 1103, 6792, 267, 1141, 519, 808, 4696, 288, 1353, 1336, 811, 982, 476, 1789, 2600, 540, 12322, 609, 2144, 10757, 4522, 267, 513, 14614, 3454, 13684, 538, 476, 1001, 275, 949, 581, 2324, 547, 2569, 4006, 4616, 563, 7021, 519, 1101, 1032, 519, 3454, 729, 538, 1198, 267, 6455, 540, 24494, 16098, 538, 519, 2197, 8593, 676, 607, 1454, 607, 476, 1321, 2600, 267, 513, 1353, 814, 1336, 269, 11531, 267, 4420, 1194, 1216, 16306, 9782, 476, 275, 2600, 267, 519, 1715, 3840, 8648, 4080, 563, 3674, 707, 2146, 7234, 513, 14614, 3454, 286, 1548, 798, 707, 2199, 24782, 723, 547, 2161, 827, 2597, 9584, 607, 513, 1259, 540, 5466, 1312, 5694, 9178, 543, 8377, 286, 1772, 972, 513, 1007, 1650, 827, 4006, 543, 5711, 1072, 602, 596, 666, 2995, 286, 0, 5970, 596, 2479, 4810, 707, 5925, 7432, 1055, 14477, 1510, 1022, 9963, 610, 7805, 2601, 888, 2252, 865, 267, 596, 616, 711, 4805, 269, 901, 568, 513, 1455, 3390, 602, 666, 581, 3361, 676, 513, 3099, 540, 2188, 267, 1519, 1379, 15088, 267, 25768, 11443, 267, 2110, 539, 3334, 267, 543, 1256, 513, 17528, 1379, 3761, 269, 769, 930, 2665, 267, 519, 3390, 666, 581, 17251, 609, 513, 2241, 30076, 1184, 269, 769, 824, 2665, 267, 621, 949, 2154, 513, 811, 538, 3829, 7634, 547, 22942, 519, 3169, 2707, 540, 519, 1966, 563, 20175, 12071, 9822, 725, 281, 2290, 540, 519, 1034, 1455, 3123, 540, 4351, 5925, 9505, 4752, 568, 1379, 15088, 269, 1879, 972, 568, 606, 6397, 2530, 610, 10006, 540, 1379, 538, 707, 1753, 267, 621, 666, 2014, 519, 5925, 547, 2490, 1055, 30122, 269, 1677, 2061, 713, 689, 8345, 267, 2119, 1210, 513, 10006, 2149, 528, 585, 707, 5925, 610, 796, 680, 19982, 621, 950, 711, 538, 946, 563, 293, 5435, 344, 16530, 281, 15571, 9505, 26160, 666, 849, 581, 3361, 676, 25768, 11443, 610, 4296, 1369, 519, 1770, 3294, 269, 1403, 596, 14353, 713, 568, 519, 2013, 267, 8524, 519, 12904, 543, 4296, 3330 ]

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

[ 3593, 7888, 21686, 4580, 2059, 609, 3728, 3210, 2053, 543, 5140, 6075, 3028, 689, 519, 1982, 563, 13436, 547, 10515, 559, 582, 593, 27707, 29878, 10515, 559, 582, 267, 21741, 333, 710, 4025, 8561, 593, 2866, 922, 3631, 1210, 6325, 1239, 269, 769, 1931, 547, 3035, 713, 267, 519, 2754, 814, 2847, 2086, 539, 922, 3642, 3631, 543, 814, 4824, 519, 1259, 621, 16621, 1007, 3283, 883, 922, 3760, 282, 2864, 982, 2348, 513, 1152, 2203, 21741, 333, 710, 568, 1631, 2111, 547, 1489, 2789, 16419, 3642, 3631, 1310, 10442, 519, 835, 602, 568, 1034, 5078, 547, 519, 4170, 540, 922, 3755, 563, 290, 617, 1168, 327, 7371, 19907, 568, 513, 3684, 1565, 630, 7876, 9984, 335, 10062, 8193, 13959, 602, 2337, 2333, 519, 4398, 540, 9367, 676, 5356, 3009, 5829, 10372, 269, 634, 3028, 11573, 1137, 13865, 10291, 899, 519, 4087, 540, 519, 23684, 607, 1134, 607, 519, 3009, 621, 568, 2111, 547, 946, 547, 1118, 922, 7840, 538, 13076, 609, 519, 2796, 563, 24927, 2662, 7371, 19907, 2813, 676, 8835, 5680, 7896, 267, 568, 15095, 609, 1169, 5752, 1893, 610, 9517, 292, 6462, 676, 589, 16703, 1519, 966, 306, 8943, 267, 2271, 22088, 297, 9517, 12788, 267, 12877, 2419, 1301, 543, 5680, 1805, 768, 269, 3958, 267, 8943, 2662, 7371, 19907, 2934, 513, 3354, 31554, 543, 4704, 9477, 4183, 799, 666, 11571, 707, 3009, 585, 1761, 16426, 563, 24927, 2662, 7371, 19907, 267, 899, 27707, 29878, 779, 10515, 559, 582, 568, 606, 3642, 29374, 1907, 585, 3301, 1646, 602, 3705, 1206, 9367, 685, 8292, 543, 8850, 5267, 3009, 789, 949, 1616, 547, 946, 547, 1020, 741, 1788, 269, 898, 729, 8036, 1210, 513, 1804, 5399, 689, 1930, 2707, 3301, 267, 607, 1134, 4835, 2866, 1239, 689, 8835, 563, 297, 27889, 645, 1551, 267, 589, 16703, 21470, 5518, 543, 12751, 5345, 13370, 626, 1767, 8943, 2662, 7371, 19907, 666, 581, 513, 851, 540, 519, 9517, 292, 547, 4217, 9367, 538, 1603, 3009, 811, 7561, 543, 3533, 269, 898, 3096, 3875, 2796, 10881, 267, 971, 607, 519, 4087, 540, 519, 23684, 610, 538, 4395, 540, 621, 267, 607, 1134, 607, 824, 6119, 538, 513, 1788, 547, 7903, 922, 7840, 4464, 563, 24927, 2662, 7371, 19907, 267, 2147, 547, 19208, 267, 12958, 3009, 12612, 602, 666, 581, 1031, 538, 1082, 5752, 4654, 267, 607, 1134, 607, 2930, 1603, 269, 898, 568, 6462, 998, 606, 1930, 2707, 2146, 16030, 811, 982, 513, 8536, 5841, 4987, 4966, 945, 723, 3838, 741, 6791, 563, 24927, 2662, 7371, 19907, 949, 711, 723, 782, 519, 2934, 19208, 814, 2705, 621, 1223, 581, 513, 14323, 4781, 585, 513, 2603, 540, 3755, 269, 898, 20674, 13798, 619, 538, 3478, 741, 960, 2944, 5488, 543, 811, 10502, 1247, 9427, 1022, 12886, 610, 12961, 602, 1223, 581, 1459, 563, 5194, 4781, 568, 5487, 300, 6395, 267, 606, 3642, 14617, 6643, 1062, 2813, 676, 5616, 799, 666, 1174, 543, 4431, 547, 7294, 2055, 543, 9840, 269, 898, 814, 1044, 8036, 593, 476, 15389, 5479, 6724, 607, 1134, 607, 476, 272, 269, 6321, 307, 1913, 540, 15597, 2139, 1357, 2861, 6054, 543, 13972, 1239, 543, 814, 1044, 22934, 547, 2327, 3106, 267, 2298, 543, 18569, 1465, 563, 276, 269, 5616, 19608, 454, 11386, 19608, 568, 513, 5639, 19840, 17300, 5691, 13930, 2966, 547, 4217, 609, 4948, 4247, 1210, 707, 16335, 269, 3281, 26702, 609, 11436, 4881, 15692, 476, 276, 269, 271, 266, 543, 15095, 5100, 10529, 971, 607, 5616, 5851, 267, 713, 5691, 13930, 666, 14458, 1082, 540, 707, 4247, 950, 596, 616, 593, 519, 979, 563, 15507, 25811, 666, 581, 1031, 538, 14966, 676, 1210, 11913, 12981, 607, 1134, 607, 1852, 540, 3457, 602, 1489, 621, 267, 971, 607, 5100, 8654, 15620, 267, 27687, 1846, 267, 543, 7641, 338, 269, 5015, 267, 16594, 23779, 568, 6462, 609, 1489, 585, 513, 3099, 540, 4654, 563, 11386, 19608, 711, 1152, 4267, 707, 2055, 267, 855, 666, 849, 1397, 5961, 267, 15737, 267, 610, 1022, 824, 3877, 1759, 593, 519, 1344, 596, 4076, 4280, 621, 547, 798, 269, 1280, 1383, 267, 596, 1223, 2307, 5616, 19608, 547, 1397, 6337, 689, 513, 5870, 610, 7552, 267, 607, 1134, 607, 11488, 15737, 3842, 717, 21166, 3823, 513, 1880, 1888, 610, 1367, 563, 10112, 9665, 666, 2285, 596, 513, 5758, 540, 519, 2621, 602, 7018, 1282, 519, 1554, 610, 547, 2638, 519, 4365, 9472, 269, 898, 666, 849, 1224, 856, 3377, 2984, 689, 513, 3099, 540, 2959, 563, 2252, 596, 2461, 513, 2575, 24158, 19608, 786, 1404, 13475, 543, 11549, 4548, 609, 1152, 519, 8360, 968, 25440, 1250, 5172, 5152, 1848, 2353, 596, 991, 568, 835, 2241, 4971, 2433, 2161, 267, 968, 25440, 1250, 5172, 5152, 3034, 5194, 9735, 8984, 540, 5616, 19608, 568, 922, 12588, 547, 14377, 4191, 609, 30776, 269, 15439, 1448, 519, 8254, 540, 707, 16335, 693, 513, 1129, 1287, 621, 3580, 6772, 599, 519, 1257, 609, 513, 5730, 8144, 538, 519, 1893, 596, 3442, 563, 11386, 19608, 1631, 2934, 2480, 1117, 27968, 589, 2388, 602, 1577, 596, 4383, 782, 707, 5100, 1753, 3457, 1210, 513, 2582, 3593, 8818, 269, 898, 779, 3226, 5363, 585, 8220, 1007, 3457, 899, 519, 595, 607, 1134, 607, 519, 8278, 984, 2465, 5100, 27687, 1846, 547, 707, 5616, 10055, 269, 0, 288, 1957, 4295, 267, 849, 1634, 607, 513, 21312, 4295, 610, 513, 8546, 267, 568, 513, 20425, 1843, 1500, 540, 1957, 4580, 269, 898, 568, 4122, 1031, 538, 1585, 6080, 585, 28277, 2326, 971, 607, 20955, 267, 5068, 8874, 267, 543, 23287, 7148, 525, 269, 7433, 23780, 616, 849, 1031, 538, 519, 5663, 540, 1957, 2472, 971, 607, 16003, 1957, 267, 1957, 28734, 267, 543, 28277, 4574, 563, 763, 1957, 23780, 2097, 538, 1114, 7306, 267, 11098, 525, 267, 543, 13080, 269, 1358, 616, 2356, 1500, 689, 13381, 1957, 267, 799, 2306, 873, 10357, 7888, 543, 4264, 269, 634, 1184, 540, 1818, 1957, 23780, 3322, 23090, 1957, 4580, 17446, 1472, 513, 8260, 7758, 267, 799, 568, 513, 4496, 610, 5068, 11425, 540, 519, 5551, 8006, 269, 634, 1957, 4580, 17446, 616, 1287, 1350, 4240, 1927, 547, 1106, 513, 15774, 12718, 563, 26261, 23780, 616, 606, 1898, 5057, 540, 519, 11183, 2872, 269, 1358, 948, 547, 2149, 543, 3560, 1585, 2472, 267, 971, 607, 1957, 28734, 543, 16003, 1957, 269, 3958, 267, 789, 616, 1031, 538, 519, 8228, 2872, 547, 3180, 1804, 20061, 540, 1957, 1031, 538, 8228, 2046, 525, 563, 14454, 267, 1957, 23780, 616, 513, 2629, 5057, 540, 519, 3761, 5832, 585, 1082, 6080, 269, 1358, 616, 20522, 267, 17426, 267, 543, 10357, 7888, 267, 1818, 873, 606, 5140, 4244, 547, 5068, 23780, 269, 0, 763, 6243, 540, 19168, 630, 845, 28861, 519, 7108, 11076, 264, 568, 513, 2197, 538, 4639, 4000, 269, 26062, 31644, 2929, 1004, 2661, 972, 282, 922, 3854, 568, 6452, 571, 269, 898, 568, 538, 5375, 4000, 267, 536, 867, 1359, 519, 13323, 540, 19892, 267, 1063, 595, 20110, 974, 546, 685, 296, 17383, 790, 543, 570, 690, 334, 563, 7712, 19168, 568, 2282, 519, 4982, 1807, 4092, 593, 519, 13323, 540, 19892, 267, 519, 2916, 568, 1360, 3636, 543, 9341, 269, 634, 9456, 9381, 12966, 568, 3636, 543, 26483, 3819, 269, 3162, 7178, 7944, 568, 3905, 543, 18519, 269, 634, 5087, 568, 3905, 543, 3819, 269, 8235, 5292, 3279, 630, 1492, 1158, 779, 4102, 5841, 10720, 264, 11498, 998, 9456, 19168, 269, 19168, 779, 5207, 1448, 568, 6778, 2279, 29951, 6737, 269, 898, 568, 476, 279, 5952, 544, 630, 273, 267, 3445, 275, 10264, 264, 543, 568, 1336, 538, 519, 13019, 342, 777, 574, 6874, 690, 334, 681, 5190, 563, 2467, 616, 1079, 1292, 12405, 538, 19168, 281, 519, 6632, 543, 519, 3819, 12405, 269, 8832, 19168, 814, 922, 24925, 4005, 689, 4728, 547, 5437, 269, 634, 5045, 267, 1519, 519, 3854, 6452, 571, 267, 814, 519, 4005, 689, 4989, 547, 4571, 9539, 4912, 563, 7197, 19168, 2103, 723, 1569, 547, 3119, 543, 6281, 2069, 269, 19168, 814, 513, 476, 277, 4458, 3119, 1153, 1062, 269, 1703, 616, 476, 277, 1857, 9945, 543, 476, 1015, 4357, 9945, 563, 294, 327, 3570, 814, 1082, 2067, 2200, 269, 634, 1292, 18666, 616, 4154, 267, 16025, 267, 23342, 267, 19987, 267, 543, 811, 269, 19168, 814, 835, 540, 519, 16999, 11615, 538, 4000, 563, 294, 327, 3570, 814, 513, 5318, 5757, 1062, 454, 294, 327, 3570, 1014, 5638, 1397, 602, 972, 568, 607, 1082, 607, 476, 21854, 2249, 540, 27738, 543, 20641, 267, 476, 278, 2190, 2249, 540, 5017, 267, 476, 18597, 27899, 2249, 7610, 1746, 19168, 282, 609, 476, 11152, 6592, 547, 581, 7610, 1746, 519, 19168, 1014, 5260, 13860, 8733, 7997, 563, 294, 327, 3570, 849, 7472, 1164, 2298, 23342, 267, 568, 519, 476, 273, 526, 4102, 16073, 540, 23342, 11451, 267, 543, 568, 15810, 547, 1831, 519, 4102, 16073, 540, 23342, 538, 519, 1158, 538, 476, 1001, 276, 563, 12626, 568, 519, 1893, 540, 519, 1533, 543, 568, 4922, 1031, 607, 513, 8059, 320, 21473, 8619, 563, 763, 9206, 540, 19168, 5161, 540, 1614, 8880, 13164, 630, 560, 686, 1186, 264, 540, 2699, 630, 9008, 1070, 4154, 630, 332, 1497, 264, 543, 3039, 630, 321, 18847, 5148, 519, 1614, 13164, 616, 519, 1482, 4463, 543, 8700, 282, 519, 1647, 6512, 12217, 513, 2947, 15304, 539, 3109, 5182, 538, 519, 8998, 540, 519, 4154, 6512, 267, 519, 7990, 2699, 6512, 6763, 585, 519, 1973, 838, 2683, 547, 3035, 519, 4182, 779, 7115, 281, 4154, 6763, 585, 19168, 779, 4853, 7777, 5763, 267, 543, 519, 2681, 3039, 3090, 2478, 519, 3638, 9341, 31140, 543, 2067, 2200, 540, 19168, 563, 3849, 2194, 539, 689, 19168, 12700, 585, 8866, 269, 918, 1497, 15610, 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 ]

[ 513, 1688, 1107, 610, 5639, 267, 610, 8289, 1107, 538, 5885, 741, 3460, 2509, 1967, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 1284, 6435, 454, 11514, 1464, 7126, 16855, 568, 513, 18758, 3919, 602, 2488, 3656, 14223, 543, 2924, 4027, 585, 4079, 543, 1453, 609, 9124, 269, 3776, 5234, 27192, 267, 15156, 543, 22602, 2232, 3540, 2924, 19374, 267, 6057, 543, 10714, 267, 12250, 1436, 267, 17418, 547, 1569, 547, 2877, 2533, 543, 2069, 267, 6760, 6408, 1436, 267, 543, 7130, 563, 2171, 4196, 1004, 609, 9124, 945, 616, 7264, 540, 16855, 269, 1284, 4196, 1004, 609, 9124, 540, 782, 6502, 267, 1519, 630, 8117, 711, 3908, 547, 264, 1004, 609, 7214, 610, 11095, 9124, 267, 1004, 609, 2790, 4576, 267, 1004, 609, 2168, 610, 10444, 9124, 267, 543, 1004, 609, 15779, 2634, 5945, 563, 11514, 1464, 7126, 16855, 24947, 519, 2686, 2418, 543, 2123, 5079, 540, 782, 1346, 5275, 938, 2533, 269, 1284, 1871, 4763, 543, 10014, 538, 782, 3344, 540, 938, 8116, 779, 4238, 269, 17859, 540, 707, 5198, 267, 14940, 267, 3656, 4567, 267, 4638, 10066, 267, 610, 4008, 3961, 267, 649, 616, 1934, 547, 948, 563, 2026, 519, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 32213, 4065, 1315, 5303, 29456, 543, 32113, 633, 5303, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]

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

[ 782, 519, 7399, 543, 649, 2132, 7301, 269, 1985, 3890, 3274, 7024, 621, 273, 12785, 3890, 2094, 814, 9202, 3890, 18715, 602, 621, 273, 814, 9202, 780, 272, 269, 2422, 1079, 31452, 267, 1109, 319, 343, 319, 1109, 15010, 4994, 540, 1016, 6783, 269, 1109, 319, 344, 319, 1109, 15010, 4994, 540, 1003, 538, 1016, 6783, 454, 273, 269, 18738, 1109, 319, 10113, 3890, 12452, 2594, 519, 1699, 1297, 267, 1287, 1847, 31452, 269, 30916, 2991, 1109, 319, 10113, 13237, 28812, 1572, 267, 1109, 319, 343, 319, 1109, 261, 1109, 319, 344, 319, 1109, 15884, 2141, 581, 15738, 547, 922, 1985, 4087, 994, 274, 269, 8844, 1109, 319, 343, 319, 1109, 1729, 519, 1985, 1875, 268, 24105, 5044, 267, 610, 3544, 540, 519, 6152, 952, 972, 568, 9039, 692, 1012, 8943, 585, 25065, 1084, 476, 273, 291, 21070, 692, 2162, 10084, 5358, 692, 3499, 5814, 28162, 269, 583, 559, 269, 5591, 22746, 292, 2211, 2750, 4003, 16963, 5035, 21070, 273, 291, 2715, 692, 1440, 10675, 703, 314, 6012, 316, 642, 3248, 1440, 10675, 703, 4737, 3248, 1440, 10675, 703, 897, 16963, 21504, 21070, 273, 291, 17301, 314, 6012, 316, 642, 264, 13634, 10472, 18192, 815, 642, 3248, 992, 815, 476, 271, 3248, 3712, 815, 476, 271, 3248, 10926, 21504, 703, 1985, 3890, 13634, 12921, 760, 10387, 27679, 305, 3298, 3890, 3248, 604, 630, 256, 13757, 9202, 28829, 13634, 628, 992, 1007, 3143, 22746, 292, 2211, 2750, 4003, 3890, 3248, 8679, 842, 1985, 815, 642, 314, 992, 6012, 3712, 10030, 30092, 2260, 9214, 618, 4737, 952, 897, 10301, 519, 1439, 540, 519, 1699, 4737, 454, 604, 630, 3712, 2652, 642, 314, 992, 4940, 26319, 264, 13634, 992, 10030, 3248, 3712, 815, 476, 271, 3248, 8679, 8873, 1985, 3248, 10926, 21504, 1630, 18978, 814, 9202, 3890, 13634, 12921, 760, 10387, 27679, 305, 3298, 3890, 3248, 8873, 4737, 2999, 642, 32324, 910, 476, 272, 13466, 630, 992, 2652, 642, 32324, 910, 476, 272, 30974, 897, 2999, 642, 314, 992, 4940, 26319, 11850, 10926, 1440, 10675, 20704, 18178, 10387, 27679, 305, 3298, 3890, 13634, 2260, 4787, 760, 8900, 9343, 454, 6112, 630, 992, 2999, 642, 32324, 30974, 642, 314, 992, 4940, 26319, 2652, 476, 271, 264, 13634, 992, 10030, 3248, 8679, 8679, 348, 7884, 2162, 5124, 5358, 692, 3499, 5035, 21070, 273, 291, 24998, 2187, 3698, 18178, 318, 24105, 318, 4900, 13448, 4311, 2187, 6112, 1582, 11859, 2999, 7003, 4311, 269, 11355, 273, 323, 264, 543, 7003, 4311, 269, 11355, 273, 323, 314, 1345, 11859, 8079, 2652, 476, 271, 912, 1345, 11859, 815, 1582, 11859, 1341, 476, 272, 454, 8873, 692, 3698, 6449, 8181, 9191, 1345, 267, 1654, 322, 273, 323, 2187, 12163, 22873, 658, 1125, 707, 1239, 2497, 1934, 563, 281, 6943, 1654, 322, 273, 323, 281, 5903, 314, 8266, 27776, 27663, 12163, 1345, 269, 11355, 273, 323, 815, 1654, 322, 273, 323, 454, 1345, 11859, 267, 1582, 13885, 815, 476, 271, 267, 476, 271, 454, 1345, 4732, 330, 760, 318, 24105, 318, 4900, 13448, 10797, 3698, 1985, 4311, 2187, 12163, 281, 337, 6943, 281, 703, 454, 12163, 343, 815, 1582, 269, 11355, 273, 323, 314, 1345, 11859, 6012, 1345, 13885, 2639, 1345, 13885, 815, 1582, 13885, 266, 272, 454, 604, 1582, 13885, 2652, 7003, 4311, 269, 11355, 273, 323, 314, 1345, 11859, 316, 2187, 1345, 11859, 267, 1582, 13885, 815, 1582, 11859, 266, 272, 267, 476, 271, 454, 1345, 4732, 330, 760, 318, 24105, 318, 4900, 13448, 4590, 8873, 1535, 692, 3698, 814, 9202, 4311, 2187, 12163, 281, 337, 6943, 281, 536, 944, 454, 12163, 604, 1582, 11859, 13843, 7003, 4311, 269, 11355, 273, 323, 2187, 8873, 8771, 454, 8873, 6936, 7884, 1012, 29203, 5811, 585, 25065, 1084, 476, 273, 291, 21070, 2274, 564, 24927, 8827, 692, 11742, 29203, 281, 1109, 302, 3799, 2020, 22129, 29203, 281, 1109, 302, 263, 272, 264, 607, 649, 616, 1210, 3586, 2230, 780, 9558, 17218, 9732, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 2641, 692, 258, 24639, 13048, 4041, 16774, 9215, 692, 6224, 22790, 476, 1015, 454, 10907, 1061, 766, 6341, 7204, 692, 1012, 24639, 13048, 4041, 16774, 744, 7473, 299, 12114, 6206, 16301, 4804, 692, 7072, 543, 6341, 7204, 12697, 3752, 1386, 10819, 20505, 454, 23330, 908, 10886, 2065, 4354, 557, 17564, 543, 5623, 5999, 454, 5475, 11264, 713, 1139, 548, 8894, 23005, 1456, 17266, 6341, 7204, 12697, 5769, 20113, 454, 618, 267, 596, 1058, 581, 2111, 547, 912, 30182, 10866, 540, 6184, 4624, 31849, 543, 10819, 454, 300, 7236, 4211, 848, 281, 10911, 312, 4306, 3201, 590, 6993, 563, 26183, 446, 272, 11512, 10343, 454, 320, 13565, 6341, 7204, 4643, 454, 338, 600, 7204, 267, 543, 4334, 454, 338, 17532, 543, 2789, 454, 338, 600, 7204, 4566, 563, 26183, 446, 273, 20472, 543, 946, 606, 454, 6016, 908, 8984, 454, 2017, 557, 563, 26183, 446, 274, 14419, 2582, 10386, 454, 680, 753, 563, 26183, 446, 275, 14419, 519, 3328, 454, 638, 1275, 540, 1202, 4624, 6266, 2676, 663, 3313, 513, 1644, 454, 338, 600, 7204, 1544, 563, 1015, 306, 268, 273, 623, 11286, 476, 275, 10866, 692, 1012, 29486, 446, 272, 4985, 543, 6341, 7204, 12697, 692, 23100, 766, 10386, 589, 20504, 766, 10386, 568, 513, 1106, 540, 14791, 602, 568, 4294, 547, 6266, 610, 10627, 2583, 540, 3688, 2901, 454, 845, 540, 14791, 4294, 547, 1354, 610, 1310, 513, 1184, 269, 769, 519, 5354, 540, 2665, 267, 519, 6266, 2099, 19670, 12349, 3688, 610, 454, 331, 1824, 610, 10627, 2583, 540, 3688, 3803, 2472, 32261, 695, 3612, 547, 16292, 17346, 610, 5561, 269, 634, 3483, 540, 10343, 7663, 8894, 29592, 610, 1310, 513, 1184, 547, 726, 532, 568, 547, 6430, 2436, 513, 2603, 25389, 24441, 4441, 630, 14588, 322, 5874, 264, 585, 1271, 454, 9080, 613, 14883, 766, 609, 4162, 540, 519, 6221, 269, 31849, 602, 14183, 891, 4441, 616, 5293, 610, 7608, 282, 1346, 602, 798, 711, 454, 335, 1042, 17827, 4441, 616, 15653, 269, 1234, 915, 539, 6266, 949, 581, 16271, 547, 476, 1911, 2600, 14791, 610, 267, 952, 12349, 267, 8120, 547, 454, 4433, 29347, 5874, 1040, 519, 18261, 585, 5491, 610, 10682, 630, 18034, 952, 16160, 4152, 568, 3238, 1916, 763, 8925, 547, 10343, 10386, 616, 630, 272, 264, 476, 1911, 2600, 14791, 543, 630, 273, 264, 1100, 14791, 563, 763, 3375, 540, 799, 835, 547, 3442, 568, 5631, 1759, 593, 519, 3790, 269, 589, 2268, 1031, 568, 519, 2736, 8894, 16838, 1448, 645, 7968, 281, 272, 454, 289, 7968, 815, 1942, 540, 14791, 829, 6221, 11305, 739, 540, 2663, 7816, 1813, 547, 513, 26843, 6221, 454, 4131, 623, 815, 6059, 8167, 540, 8919, 1161, 538, 519, 2603, 269, 634, 3375, 568, 912, 2252, 623, 9881, 486, 645, 7968, 267, 946, 10343, 10386, 563, 2252, 623, 3436, 645, 7968, 267, 946, 476, 1911, 260, 14791, 563, 2252, 623, 2999, 645, 7968, 855, 623, 568, 4756, 267, 946, 10343, 10386, 563, 2252, 623, 2999, 645, 7968, 543, 623, 568, 7123, 267, 1810, 1406, 8524, 780, 7078, 476, 272, 589, 1286, 10198, 2030, 11392, 2212, 2775, 32234, 689, 513, 1007, 18261, 538, 6266, 540, 476, 272, 267, 1822, 4559, 269, 634, 454, 322, 739, 540, 4152, 513, 2212, 2775, 10198, 693, 8391, 568, 8096, 269, 1015, 269, 1403, 513, 26843, 2212, 2775, 568, 19632, 593, 513, 454, 8364, 267, 519, 1942, 540, 17522, 547, 519, 10198, 1899, 547, 5372, 519, 2212, 2775, 568, 8096, 1911, 269, 898, 568, 4397, 602, 454, 21671, 1547, 4962, 2600, 547, 1547, 272, 2600, 540, 519, 2212, 2775, 32234, 786, 581, 26843, 269, 14419, 519, 6708, 454, 1993, 14791, 585, 519, 2212, 2775, 32234, 780, 306, 5357, 28513, 645, 7968, 815, 8096, 269, 272, 270, 15478, 1911, 815, 1547, 9826, 269, 5221, 1547, 9826, 9881, 486, 1547, 4962, 260, 547, 1547, 272, 9077, 1685, 10343, 10386, 593, 519, 2603, 780, 14085, 5677, 2188, 12797, 532, 10343, 10386, 5288, 269, 476, 1911, 2600, 14791, 1331, 912, 272, 269, 5384, 568, 2110, 563, 273, 269, 20121, 10614, 4152, 568, 2838, 563, 274, 269, 15310, 8982, 610, 30627, 3361, 676, 8524, 532, 1804, 2338, 540, 3688, 5012, 547, 14791, 6959, 563, 10907, 1061, 766, 10386, 666, 581, 4294, 547, 1312, 14487, 630, 12248, 338, 264, 543, 4756, 630, 1889, 5501, 906, 994, 1231, 18936, 269, 1717, 267, 14791, 540, 10305, 568, 811, 4922, 1031, 267, 865, 519, 4901, 1934, 6212, 454, 1410, 13254, 593, 14487, 10343, 10386, 563, 338, 600, 7204, 1544, 589, 1544, 602, 589, 1883, 3693, 540, 10343, 10386, 568, 519, 10386, 1544, 269, 9717, 519, 2603, 2450, 715, 267, 513, 10386, 454, 14588, 322, 5809, 519, 3732, 2450, 267, 519, 1544, 23403, 519, 3732, 2450, 267, 562, 282, 519, 1297, 540, 5439, 547, 581, 3144, 282, 543, 519, 10343, 22812, 20287, 454, 15893, 540, 5439, 267, 543, 519, 7355, 269, 589, 3099, 540, 10386, 4566, 666, 581, 1031, 269, 2368, 4566, 1289, 585, 5542, 540, 513, 2582, 3732, 2676, 23100, 766, 22812, 20287, 7355, 269, 543, 1866, 1289, 585, 1079, 610, 811, 5439, 267, 4470, 593, 519, 2470, 540, 519, 1544, 269, 634, 1739, 454, 321, 4361, 569, 6257, 930, 540, 519, 1114, 2010, 540, 10386, 4566, 269, 769, 713, 7110, 267, 938, 1445, 786, 454, 2041, 593, 2582, 10386, 267, 799, 568, 519, 14724, 543, 1034, 4122, 1031, 780, 306, 17532, 4149, 600, 7204, 12697, 454, 1103, 713, 1544, 267, 835, 4351, 3732, 568, 6537, 689, 519, 2603, 267, 543, 1169, 6221, 538, 519, 3732, 568, 8947, 454, 663, 9286, 607, 2901, 968, 16591, 892, 610, 968, 3698, 624, 633, 1848, 1403, 519, 3732, 3568, 7864, 982, 610, 3160, 547, 513, 884, 857, 8894, 30829, 1297, 540, 8919, 1161, 267, 524, 267, 519, 2603, 568, 7608, 282, 6382, 630, 604, 621, 3568, 811, 982, 524, 8919, 1161, 264, 519, 454, 14309, 568, 15653, 780, 272, 454, 288, 269, 966, 269, 3171, 3394, 29231, 267, 11192, 10866, 6513, 267, 476, 274, 6113, 1196, 1421, 1715, 3840, 281, 17755, 3863, 6953, 650, 267, 476, 1960, 272, 267, 6032, 269, 476, 27843, 1700, 4962, 563, 24746, 13048, 4041, 16774, 9215, 32516, 476, 1015, 20504, 766, 6341, 7204, 476, 1015, 306, 268, 274, 692, 291, 19302, 4149, 600, 7204, 12697, 454, 288, 5595, 1606, 600, 7204, 1544, 2636, 2921, 513, 2034, 3732, 952, 519, 2164, 540, 519, 3355, 3732, 616, 21016, 743, 340, 8894, 338, 633, 269, 13018, 267, 952, 519, 2298, 540, 519, 3355, 3732, 568, 1164, 267, 519, 2603, 666, 581, 7608, 1510, 519, 991, 585, 454, 320, 2034, 3732, 269, 1403, 519, 2298, 538, 519, 3355, 3732, 568, 4057, 267, 519, 2603, 568, 15653, 630, 663, 972, 568, 849, 1100, 991, 454, 1721, 513, 2034, 3732, 1040, 1280, 2164, 1063, 1346, 1079, 2665, 267, 513, 2034, 3732, 568, 1287, 3144, 543, 519, 454, 19477, 1202, 4624, 267, 1310, 799, 519, 2603, 568, 2901, 7608, 610, 15653, 593, 519, 4493, 540, 519, 2963, 5833, 454, 5228, 1312, 5439, 269, 589, 5595, 1606, 600, 7204, 1544, 23403, 519, 2450, 540, 519, 3355, 3732, 267, 519, 3398, 22812, 915, 454, 322, 761, 4997, 585, 519, 3355, 3732, 267, 519, 2450, 540, 519, 2034, 3732, 267, 543, 513, 2582, 2949, 10343, 1297, 563, 4415, 513, 5595, 1606, 600, 7204, 1544, 267, 1079, 2418, 616, 9138, 585, 519, 1297, 540, 26843, 3688, 538, 454, 1492, 1101, 3732, 267, 513, 2539, 1377, 267, 524, 272, 267, 543, 606, 5580, 1377, 267, 678, 272, 269, 1280, 3236, 267, 519, 2539, 1377, 1522, 581, 454, 18314, 8919, 1161, 543, 519, 5580, 1377, 1522, 581, 2947, 8919, 1161, 269, 1403, 519, 1297, 540, 26843, 3688, 538, 454, 1492, 1101, 3732, 568, 7864, 982, 610, 3160, 547, 519, 2539, 1871, 630, 328, 4318, 1421, 524, 272, 1070, 519, 2603, 568, 24565, 547, 581, 1434, 543, 454, 338, 600, 7204, 568, 2165, 3990, 269, 17957, 267, 952, 519, 1297, 540, 8919, 1161, 538, 519, 1101, 3732, 11224, 610, 454, 1410, 12923, 519, 5580, 1871, 630, 328, 4318, 1421, 678, 272, 1070, 519, 2603, 568, 15653, 269, 1403, 519, 1297, 540, 8919, 1161, 538, 519, 1101, 3732, 454, 17517, 12341, 538, 1063, 524, 272, 543, 678, 272, 267, 513, 2034, 3732, 568, 3144, 543, 519, 2698, 1297, 540, 1219, 1815, 8894, 339, 1161, 538, 1312, 5439, 568, 3379, 547, 513, 3791, 1871, 267, 524, 273, 269, 1280, 1383, 267, 524, 273, 1522, 581, 3670, 269, 1403, 519, 635, 8894, 321, 1441, 1297, 540, 8919, 1161, 1281, 711, 9765, 524, 273, 267, 519, 2603, 568 ]

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

[ 4009, 568, 513, 13551, 952, 543, 849, 1152, 952, 621, 814, 2185, 1318, 630, 322, 784, 745, 550, 264, 7285, 563, 8201, 630, 17273, 19340, 272, 2020, 263, 5723, 7374, 264, 568, 513, 13551, 952, 543, 849, 1152, 952, 630, 4120, 3600, 784, 5086, 645, 322, 784, 5086, 595, 322, 784, 5086, 667, 6393, 288, 29105, 568, 513, 32077, 639, 952, 543, 849, 1152, 952, 621, 814, 2185, 21412, 5011, 563, 8201, 630, 17273, 19340, 273, 2020, 263, 5723, 7374, 264, 568, 513, 32077, 639, 952, 543, 849, 1152, 952, 630, 28235, 5723, 322, 784, 936, 1467, 6195, 7249, 936, 1467, 7374, 7249, 936, 1467, 4696, 6393, 288, 29105, 568, 513, 4009, 952, 543, 1152, 952, 602, 814, 2185, 1318, 7285, 543, 2185, 21412, 5011, 269, 3414, 4214, 267, 513, 4009, 568, 513, 13551, 543, 849, 513, 32077, 639, 563, 8201, 630, 17273, 19340, 274, 2020, 263, 5723, 7374, 264, 568, 513, 4009, 952, 543, 1152, 952, 630, 4120, 3600, 784, 5086, 645, 322, 784, 5086, 595, 322, 784, 5086, 667, 264, 543, 630, 28235, 5723, 322, 784, 936, 1467, 6195, 7249, 936, 1467, 7374, 7249, 936, 1467, 4696, 6393, 2791, 666, 2141, 1397, 602, 513, 25521, 568, 513, 13551, 267, 32077, 639, 267, 610, 4009, 676, 9001, 519, 10096, 540, 891, 5546, 269, 1703, 2230, 930, 3773, 2081, 547, 6961, 6252, 9999, 2230, 25965, 543, 849, 32077, 4926, 267, 3254, 2630, 1384, 272, 269, 589, 6252, 568, 513, 13551, 952, 519, 32377, 4055, 21412, 780, 8201, 630, 17273, 19340, 275, 2020, 263, 5723, 7374, 264, 568, 25521, 269, 1403, 630, 28235, 3722, 322, 784, 936, 1467, 9720, 1070, 2916, 630, 5723, 7374, 264, 568, 11338, 513, 13551, 780, 273, 269, 589, 25521, 568, 513, 32077, 639, 952, 519, 32377, 2230, 13902, 780, 777, 328, 270, 1372, 7288, 11721, 3796, 270, 12293, 275, 11721, 1673, 318, 866, 325, 11025, 324, 5392, 764, 2801, 271, 322, 3451, 7251, 272, 321, 29300, 4366, 321, 276, 323, 2004, 280, 272, 26501, 280, 576, 321, 27219, 29616, 279, 325, 276, 4366, 7176, 22396, 10619, 322, 273, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 26666, 286, 516, 9679, 284, 272, 261, 21653, 284, 12895, 7257, 261, 12296, 284, 14596, 257, 29451, 8201, 630, 17273, 19340, 279, 2020, 11405, 692, 2690, 519, 606, 3355, 4137, 267, 1169, 5011, 2230, 21412, 543, 835, 5086, 568, 630, 13670, 317, 15132, 1070, 4061, 519, 7285, 616, 711, 21412, 269, 901, 568, 513, 32077, 639, 780, 2690, 519, 2034, 4137, 267, 782, 2185, 7285, 616, 21412, 855, 519, 5011, 616, 711, 269, 901, 568, 513, 13551, 780, 7078, 630, 17273, 19340, 275, 2020, 3674, 513, 32077, 639, 590, 26041, 2316, 300, 2464, 267, 9338, 310, 17751, 306, 267, 610, 2760, 2479, 513, 4009, 286, 5581, 1946, 780, 11405, 692, 288, 32077, 639, 814, 2185, 21412, 5011, 543, 513, 4009, 814, 2185, 21412, 5011, 543, 7285, 269, 4475, 267, 513, 32077, 639, 568, 513, 4009, 2899, 621, 814, 21412, 7285, 269, 901, 1505, 513, 32077, 639, 568, 12212, 513, 4009, 780, 7078, 630, 17273, 19340, 276, 2020, 8266, 3388, 596, 917, 827, 519, 4009, 630, 306, 304, 3918, 6393, 8201, 630, 17273, 19340, 280, 2020, 11405, 692, 288, 4009, 814, 2965, 782, 519, 2470, 540, 513, 25521, 267, 13551, 543, 32077, 639, 780, 19187, 2906, 602, 513, 23155, 6945, 19187, 2906, 519, 513, 10910, 4861, 639, 19187, 2906, 602, 513, 25351, 4120, 454, 263, 28235, 306, 304, 1706, 5537, 936, 1467, 2207, 264, 630, 28235, 306, 304, 322, 784, 936, 1467, 2207, 322, 784, 936, 1467, 10345, 322, 784, 936, 1467, 304, 305, 264, 630, 332, 4120, 590, 2207, 284, 332, 4120, 590, 304, 305, 284, 332, 4120, 1627, 10345, 284, 332, 4120, 1627, 3918, 284, 3445, 317, 15132, 994, 263, 28235, 10345, 1706, 5537, 936, 1467, 304, 305, 264, 630, 28235, 17876, 704, 335, 936, 1467, 304, 292, 994, 263, 4120, 10323, 304, 322, 784, 5086, 1627, 2207, 322, 784, 5086, 590, 304, 31319, 784, 5086, 661, 304, 305, 264, 630, 28235, 17876, 322, 784, 936, 1467, 304, 292, 994, 263, 4120, 1627, 17876, 322, 784, 5086, 681, 10345, 322, 784, 5086, 30040, 9928, 784, 5086, 590, 3918, 264, 630, 28235, 6347, 322, 784, 936, 1467, 2752, 322, 784, 936, 1467, 304, 10907, 784, 936, 1467, 20067, 2020, 5472, 519, 20312, 624, 539, 7285, 4055, 630, 3393, 317, 15132, 6393, 777, 328, 270, 1372, 7288, 11721, 3796, 270, 10082, 278, 11721, 1673, 318, 278, 321, 25851, 6858, 323, 659, 275, 322, 14983, 276, 22396, 322, 321, 323, 271, 3583, 277, 611, 4510, 322, 279, 2412, 322, 276, 6507, 1372, 4200, 275, 323, 2568, 278, 9032, 274, 322, 277, 5038, 5952, 280, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 260, 21857, 10292, 7246, 12283, 318, 2316, 29369, 26666, 286, 516, 9679, 284, 272, 261, 21653, 284, 12895, 7257, 261, 12296, 284, 14596, 257, 29451, 4137, 630, 17273, 19340, 2537, 994, 29664, 630, 17273, 19340, 2190, 2020, 2690, 4145, 476, 1626, 268, 866, 2697, 952, 519, 20170, 547, 616, 9338, 310, 17751, 306, 267, 590, 26041, 2316, 10933, 267, 610, 2760, 3020, 269, 16294, 707, 7744, 780, 8450, 811, 281, 1548, 1772, 7969, 29807, 2917, 634, 23893, 1306, 25065, 23516, 29807, 2917, 1656, 7969, 29807, 2917, 2496, 288, 13551, 568, 513, 32077, 639, 269, 589, 4009, 568, 513, 25521, 269, 589, 6252, 568, 2834, 269, 589, 4009, 568, 513, 13551, 269, 0, 258, 10789, 1305, 10035, 692, 16605, 2542, 547, 1451, 811, 827, 10789, 1305, 10035, 543, 875, 547, 946, 621, 780, 1012, 5590, 10035, 692, 13729, 3502, 566, 31947, 4118, 1411, 2760, 917, 950, 1305, 10035, 568, 2469, 547, 1402, 909, 269, 15394, 267, 596, 3513, 1294, 621, 950, 596, 1451, 827, 6061, 16526, 267, 1317, 585, 930, 2601, 6031, 1535, 283, 476, 274, 3884, 1405, 1434, 692, 1012, 1548, 1772, 5590, 3502, 566, 29845, 9502, 267, 29062, 692, 13729, 1532, 4265, 518, 10035, 568, 513, 6310, 10035, 585, 10503, 513, 1305, 676, 8204, 922, 2609, 610, 7713, 519, 3601, 602, 922, 2818, 1590, 14183, 269, 1280, 1383, 267, 595, 815, 2715, 273, 267, 275, 267, 276, 348, 18575, 513, 1305, 540, 1614, 2338, 281, 476, 273, 267, 476, 275, 267, 543, 476, 276, 692, 24169, 2262, 2055, 692, 13043, 568, 513, 1259, 540, 6061, 2042, 676, 1210, 2338, 543, 4834, 780, 23737, 2979, 2243, 692, 12385, 24136, 568, 519, 1353, 540, 2338, 267, 5546, 267, 543, 3270, 780, 13356, 728, 2979, 2055, 692, 2414, 2626, 513, 2979, 2243, 267, 596, 991, 547, 1101, 1174, 1018, 519, 2243, 568, 6998, 269, 4495, 596, 1174, 519, 2243, 267, 596, 666, 946, 707, 1702, 540, 2979, 547, 4194, 519, 1966, 780, 13043, 1702, 602, 4991, 596, 692, 288, 2178, 1620, 540, 2979, 568, 1898, 585, 1967, 538, 1082, 1114, 4610, 780, 1012, 5590, 3502, 566, 281, 9502, 1299, 6201, 692, 1607, 2337, 547, 1732, 5581, 5036, 543, 547, 1118, 873, 4443, 547, 2328, 269, 1284, 786, 946, 519, 1739, 3854, 5022, 585, 519, 9757, 1297, 1062, 5036, 281, 715, 815, 7849, 10606, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 1547, 1547, 1547, 348, 2098, 815, 6715, 619, 0, 258, 7089, 540, 2081, 540, 1818, 513, 5884, 1210, 519, 9704, 1269, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 6911, 8340, 519, 1297, 540, 2081, 540, 1818, 513, 5884, 1210, 519, 9704, 1269, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 16859, 296, 917, 602, 1269, 277, 256, 259, 568, 711, 519, 2953, 2626, 1317, 930, 12417, 666, 581, 5833, 1175, 676, 10047, 540, 519, 18062, 269, 1924, 972, 786, 581, 1082, 10221, 1431, 269, 594, 6836, 676, 21338, 1022, 1079, 6587, 8188, 543, 1210, 9764, 32545, 585, 519, 6967, 476, 275, 8188, 269, 7089, 540, 971, 12417, 568, 1269, 273, 256, 315, 16535, 558, 346, 277, 2410, 273, 12917, 275, 268, 272, 25631, 284, 273, 24585, 1428, 24585, 476, 277, 284, 5197, 16859, 3719, 2626, 2016, 568, 1175, 1269, 1789, 10608, 9320, 972, 616, 1869, 930, 10221, 1431, 799, 594, 993, 711, 7487, 780, 1892, 1703, 781, 1100, 19231, 602, 6587, 5011, 1058, 2040, 909, 547, 476, 278, 286, 1107, 1109, 335, 2678, 4877, 564, 22201, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 6734, 454, 1892, 7711, 335, 2678, 4877, 564, 22201, 3143, 9993, 1107, 1109, 3849, 640, 320, 8061, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 4962, 454, 1892, 1411, 723, 936, 12248, 539, 538, 1079, 2081, 269, 2659, 1269, 273, 256, 259, 1166, 2354, 519, 1101, 1079, 8188, 596, 13603, 267, 855, 1346, 616, 6697, 269, 2659, 1269, 277, 1422, 577, 5366, 476, 273, 259, 26717, 519, 1101, 1079, 8188, 267, 855, 596, 1205, 519, 1482, 5884, 952, 596, 4584, 1079, 1866, 602, 1131, 723, 1044, 6587, 1851, 519, 3803, 2185, 269, 1411, 1058, 1747, 519, 1269, 277, 259, 1101, 267, 1287, 4584, 519, 6587, 3068, 267, 799, 814, 1269, 276, 259, 5079, 269, 2334, 1269, 276, 259, 3379, 547, 707, 1269, 1789, 259, 568, 519, 4430, 3815, 1269, 277, 259, 1107, 1109, 305, 1601, 7085, 1731, 534, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 5881, 692, 25785, 835, 1297, 593, 835, 3068, 267, 1287, 3442, 1022, 540, 519, 476, 276, 6967, 2338, 547, 979, 593, 519, 6587, 3068, 269, 519, 6967, 476, 275, 2338, 666, 581, 11231, 538, 513, 8258, 538, 1269, 274, 256, 284, 277, 259, 10646, 762, 2081, 267, 8754, 519, 2626, 568, 476, 1789, 692, 1892, 4208, 568, 713, 1114, 689, 1250, 1505, 286, 1107, 1109, 3849, 640, 320, 8061, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 6860, 454, 1892, 1317, 596, 991, 547, 4368, 835, 1297, 547, 835, 3068, 269, 952, 596, 1450, 782, 476, 277, 2338, 547, 19582, 538, 2490, 835, 1880, 3068, 267, 596, 936, 12248, 676, 513, 3815, 540, 476, 277, 1107, 1109, 21837, 2372, 4883, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 5392, 692, 2080, 781, 2943, 1776, 1259, 540, 3206, 281, 1269, 277, 256, 259, 12417, 5258, 676, 519, 1269, 275, 256, 284, 2190, 259, 24364, 1623, 5471, 1845, 540, 519, 13306, 267, 865, 972, 616, 1269, 276, 1422, 10383, 476, 277, 284, 1789, 259, 2081, 780, 293, 1460, 1269, 272, 259, 630, 25669, 264, 693, 5377, 267, 543, 1022, 540, 1269, 276, 259, 1866, 693, 519, 1283, 267, 538, 1269, 276, 259, 2081, 780, 3086, 3314, 602, 596, 666, 17967, 519, 5884, 530, 270, 334, 23892, 519, 1283, 543, 5377, 547, 1397, 1269, 275, 259, 1114, 8188, 267, 865, 519, 6967, 2338, 666, 581, 6378, 538, 1269, 275, 24425, 275, 815, 476, 277, 259, 2081, 692, 259, 276, 1422, 9392, 476, 277, 815, 476, 1789, 6911, 763, 8188, 593, 513, 5884, 616, 26922, 547, 519, 14622, 593, 606, 12354, 320, 28353, 269, 1411, 616, 2953, 538, 4098, 609, 1269, 277, 256, 269, 259, 3767, 267, 649, 1294, 875, 1082, 2053, 649, 723, 936, 12248, 539, 269, 18564, 602, 585, 513, 6378, 1283, 14584, 540, 519, 12354, 320, 28353, 267, 799, 666, 581, 13042, 607, 1022, 540, 519, 1269, 277, 259, 2338, 267, 972, 616, 2185, 24364, 17602, 4293, 269, 1656, 607, 594, 723, 1175, 5018, 267, 1022, 540, 519, 3670, 8188, 1223, 581, 17479, 607, 519, 1283, 14584, 269, 1924, 1142, 11460, 729, 18886, 1269, 277, 1422, 9392, 476, 275, 815, 476, 2190, 259, 2053, 269, 19098, 585, 713, 267, 519, 1297, 540, 12417, 568, 4399, 2765, 346, 277, 256, 2410, 2190, 348, 815, 1422, 2765, 346, 24798, 2410, 2190, 348, 815, 1422, 7901, 539, 346, 1789, 20467, 6911, 295, 842, 952, 596, 4368, 606, 11460, 1287, 621, 814, 1269, 277, 259, 2147, 12417, 596, 1294, 1946, 676, 15914, 538, 1269, 273, 259, 8846, 2473, 267, 313, 865, 2626, 1058, 581, 4399, 2765, 346, 5197, 2410, 277, 13157, 1789, 6911, 1892, 4706, 2352, 547, 4952, 602, 269, 1107, 1109, 3849, 640, 320, 8061, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 5400, 454, 1892, 6423, 3180, 513, 18062, 621, 666, 581, 18202, 538, 4395, 4287, 610, 2427, 1811, 1107, 1109, 19425, 529, 21969, 1678, 541, 3057, 476, 1691, 1412, 1626, 693, 476, 1428, 281, 6021, 0, 258, 674, 3633, 14110, 5085, 5522, 520, 845, 8468, 692, 1012, 27018, 30449, 595, 4592, 560, 1779, 692, 8379, 305, 2073, 476, 4962, 268, 736, 268, 1001, 277, 267, 476, 4905, 281, 1240 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3895, 4763, 543, 13784, 267, 3906, 666, 6536, 513, 9036, 2528, 602, 2418, 543, 24947, 782, 5520, 563, 11754, 816, 1133, 10940, 4437, 1162, 454, 4462, 10940, 12886, 616, 8456, 610, 11475, 602, 1860, 938, 1620, 267, 3527, 267, 543, 3664, 1510, 938, 6857, 4656, 269, 1452, 12886, 666, 723, 513, 2101, 1764, 593, 9036, 9698, 267, 3056, 547, 15490, 2126, 543, 17181, 540, 1978, 5520, 563, 22117, 619, 1058, 960, 547, 2697, 543, 2232, 891, 12886, 998, 2866, 543, 2069, 3292, 602, 3895, 4656, 543, 1582, 26190, 563, 21886, 5971, 7046, 9442, 454, 15411, 2792, 568, 1898, 538, 2870, 513, 9036, 2528, 602, 2418, 14619, 543, 13784, 269, 24285, 1058, 5000, 5520, 547, 2671, 741, 5380, 543, 2833, 267, 543, 8362, 6432, 547, 5955, 543, 10372, 585, 6454, 563, 3528, 2870, 606, 1604, 1141, 1930, 2792, 568, 9415, 267, 3906, 666, 2697, 543, 2232, 1761, 2152, 1354, 789, 1831, 2101, 2042, 563, 19119, 540, 31071, 24054, 281, 22436, 585, 31740, 543, 20871, 454, 25363, 13586, 9036, 9698, 7341, 666, 723, 3875, 2640, 585, 1312, 5520, 543, 3906, 269, 3371, 616, 930, 540, 519, 1883, 5383, 912, 268, 16842, 9441, 9547, 281, 1879, 5520, 1294, 602, 741, 3919, 2418, 14619, 543, 10014, 267, 789, 616, 811, 2693, 547, 1745, 13854, 609, 741, 960, 543, 8149, 547, 741, 16108, 563, 268, 20865, 12802, 281, 31740, 945, 1745, 12595, 543, 15197, 616, 811, 2693, 547, 3251, 609, 741, 3919, 585, 519, 1279, 2165, 267, 4227, 24826, 543, 2404, 3790, 563, 268, 24046, 2773, 281, 31071, 9698, 11942, 513, 2318, 960, 1604, 1141, 5520, 1745, 12592, 543, 7722, 267, 3056, 547, 2799, 7607, 543, 1732, 1870, 2164, 563, 268, 7457, 547, 3309, 13007, 281, 20871, 602, 4225, 9036, 9698, 616, 811, 2693, 547, 4482, 513, 3309, 7535, 540, 2816, 10457, 267, 4758, 873, 1569, 547, 513, 9962, 2039, 540, 1983, 543, 5380, 563, 268, 15474, 10639, 281, 20871, 602, 4225, 9036, 9698, 616, 9763, 811, 3870, 2406, 676, 5561, 267, 9520, 267, 543, 519, 1857, 267, 7393, 741, 10639, 543, 6216, 3239, 563, 3528, 5009, 9036, 9698, 267, 3906, 666, 1711, 513, 9036, 2528, 602, 2418, 4763, 267, 8992, 14619, 543, 10014, 267, 543, 11942, 9441, 6278, 543, 7607, 563, 7021, 5765, 12694, 281, 18601, 31875, 547, 31071, 24054, 454, 4407, 9036, 9698, 568, 2629, 585, 2870, 513, 4023, 543, 8537, 2324, 1604, 267, 621, 949, 3068, 1585, 2591, 543, 7496, 538, 519, 6388, 1184, 269, 1452, 2591, 949, 1331, 17499, 12886, 267, 3668, 540, 4656, 543, 2866, 267, 4187, 547, 1689, 267, 543, 23696, 4507, 543, 5773, 563, 3080, 2500, 4640, 585, 20408, 891, 2591, 568, 547, 1376, 676, 14344, 873, 269, 24285, 1058, 16175, 2232, 519, 2152, 543, 8362, 3343, 547, 1174, 873, 547, 1711, 2500, 3435, 269, 21278, 2866, 543, 2069, 585, 1312, 5520, 543, 3401, 666, 849, 948, 547, 7753, 891, 2591, 543, 3895, 513, 2528, 540, 13784, 563, 14071, 1590, 849, 5431, 602, 12886, 786, 3136, 547, 2291, 282, 519, 1883, 568, 547, 1711, 3157, 602, 25559, 873, 1848, 1107, 7917, 12389, 8725, 267, 7905, 540, 31044, 10263, 693, 519, 2160, 540, 12246, 16303, 454, 2005, 568, 1271, 547, 1491, 513, 11455, 1935, 547, 9036, 9698, 267, 5473, 782, 2157, 540, 519, 3919, 269, 24285, 1058, 1291, 676, 1383, 543, 3180, 2933, 18177, 585, 5009, 14619, 543, 10014, 269, 24727, 543, 5773, 1058, 581, 5781, 12649, 543, 15428, 547, 2327, 789, 5447, 609, 519, 3919, 779, 2418, 543, 3895, 9698, 269, 3958, 267, 2870, 3309, 6887, 543, 5009, 5698, 1851, 5520, 666, 948, 547, 2736, 1524, 7496, 543, 6536, 513, 811, 8537, 9036, 2528, 563, 7021, 5765, 2591, 543, 5466, 7496, 547, 9036, 9698, 949, 1491, 942, 543, 4674, 267, 855, 519, 2640, 540, 2870, 513, 4023, 543, 8537, 960, 1604, 616, 1713, 269, 24285, 945, 4225, 9036, 9698, 543, 1491, 14942, 3268, 4724, 5009, 14619, 543, 10014, 786, 6038, 5397, 519, 1967, 540, 741, 3906, 538, 519, 1279, 2196, 563, 763, 10020, 540, 15557, 281, 32010, 31071, 24054, 9024, 328, 2510, 454, 22117, 11429, 4249, 513, 2629, 1909, 538, 6117, 9036, 9698, 7341, 269, 589, 2528, 540, 14619, 543, 10014, 5956, 693, 519, 1283, 267, 609, 3401, 4259, 519, 3159, 543, 30191, 4507, 563, 2414, 3895, 9036, 9698, 267, 3401, 1590, 8362, 2232, 12886, 543, 7130, 1369, 741, 3906, 269, 901, 2882, 7598, 28102, 17849, 3157, 267, 3246, 3160, 3255, 585, 3318, 2208, 543, 1646, 267, 543, 2870, 513, 2528, 602, 2418, 4763, 543, 13784, 563, 22117, 619, 849, 723, 513, 5539, 547, 2327, 602, 782, 5520, 4309, 519, 2556, 2866, 543, 2069, 593, 9036, 9698, 269, 901, 666, 1331, 4763, 543, 10014, 2866, 267, 607, 1134, 607, 3246, 2200, 585, 5520, 547, 1451, 543, 1174, 1114, 5380, 543, 2833, 563, 5319, 1721, 1424, 31071, 24054, 24727, 454, 22117, 619, 1590, 849, 17997, 9036, 9698, 4507, 267, 8066, 5520, 18177, 585, 1022, 3527, 602, 616, 25641, 610, 21678, 269, 901, 2882, 5466, 1022, 20286, 610, 4145, 602, 8451, 543, 2921, 2962, 547, 2327, 602, 519, 9036, 3788, 513, 2922, 543, 22205, 1604, 585, 782, 5520, 563, 21953, 267, 3401, 1058, 711, 30391, 519, 1764, 540, 741, 5615, 543, 3527, 593, 9036, 9698, 269, 1635, 9781, 8537, 5615, 543, 5009, 513, 2528, 540, 14619, 543, 2463, 267, 3401, 666, 8300, 5520, 547, 798, 519, 1482, 267, 6038, 2870, 513, 811, 12581, 9036, 585, 782, 563, 23220, 7627, 31071, 24054, 281, 9751, 543, 4065, 454, 17809, 4575, 2866, 543, 2069, 568, 2629, 538, 5009, 9036, 9698, 269, 1452, 7341, 1683, 5520, 609, 519, 2556, 1702, 543, 1983, 547, 1174, 543, 6330, 9036, 9698, 2152, 267, 3056, 547, 513, 811, 8537, 960, 1604, 563, 16391, 3074, 666, 2936, 4763, 543, 10014, 2866, 3292, 602, 3382, 3584, 971, 607, 17499, 9186, 267, 2686, 16169, 267, 543, 12581, 2853, 269, 1452, 5721, 902, 666, 581, 5342, 998, 11925, 267, 2228, 6030, 267, 610, 835, 6823, 14633, 18006, 7886, 563, 32086, 543, 2069, 666, 849, 1331, 5718, 1646, 3292, 602, 1445, 593, 5009, 9036, 9698, 269, 24285, 666, 1451, 875, 547, 2697, 543, 2232, 741, 1378, 12886, 267, 3895, 513, 2528, 540, 13784, 267, 543, 17997, 4507, 602, 1489, 9036, 9698, 563, 3528, 10115, 538, 2866, 543, 2069, 267, 3906, 666, 1711, 513, 13781, 602, 568, 9280, 547, 6023, 9036, 9698, 2591, 543, 3895, 513, 811, 8537, 543, 3309, 960, 2528, 563, 13480, 2897, 24054, 543, 519, 8892, 281, 1744, 12686, 513, 14568, 4518, 4403, 454, 763, 12556, 540, 9036, 9698, 568, 6505, 267, 609, 6932, 4066, 543, 2853, 602, 666, 948, 3337, 513, 1732, 13781, 269, 634, 4797, 2208, 540, 6552, 960, 814, 519, 1761, 547, 2333, 13784, 585, 1346, 609, 9124, 610, 12391, 9021, 267, 543, 8441, 538, 3642, 666, 948, 9004, 9186, 543, 7130, 538, 17849, 543, 3260, 687, 563, 16391, 3074, 616, 849, 9301, 519, 2956, 540, 28622, 950, 621, 2501, 547, 9036, 9698, 267, 1620, 602, 1114, 9163, 543, 2833, 1590, 581, 2808, 950, 2870, 4507, 543, 5773, 269, 20074, 2834, 4763, 543, 10014, 2866, 3292, 666, 948, 5520, 1732, 1174, 543, 5660, 519, 2189, 5380, 540, 741, 9164, 563, 13010, 267, 9036, 9698, 568, 4742, 513, 1883, 3815, 538, 19788, 543, 20808, 1283, 13007, 267, 3226, 1851, 7820, 5481, 945, 1747, 513, 2178, 8561, 593, 1514, 5539, 543, 5683, 2853, 269, 14992, 602, 4225, 9036, 9698, 666, 2744, 513, 8013, 5413, 950, 621, 2501, 547, 16461, 1746, 543, 20808, 5520, 563, 2026, 9036, 9698, 5170, 547, 11457, 267, 3906, 991, 547, 3251, 909, 547, 4266, 609, 519, 5767, 3466, 543, 2853, 269, 1635, 26724, 9036, 9698, 543, 2921, 14942, 3268, 547, 1711, 513, 811, 8537, 543, 4023, 2324, 1604, 267, 3906, 666, 28231, 519, 2640, 540, 513, 6126, 543, 7722, 13781, 563, 1103, 3932, 267, 9036, 9698, 568, 4105, 538, 2870, 513, 4023, 543, 8537, 2324, 1604, 269, 898, 5849, 602, 1169, 9441, 568, 5701, 609, 2463, 543, 31717, 640, 267, 7488, 540, 741, 5198, 267, 4008, 267, 610, 4282, 269, 1635, 5009, 9036, 9698, 267, 3906, 666, 6536, 4763, 267, 2333, 9441, 6278, 267, 543, 2087, 2949, 7607, 563, 25363, 13586, 9036, 9698, 7341, 949, 2154, 1713, 4674, 543, 2200, 267, 855, 519, 2640, 616, 1134, 4502, 621, 269, 24285, 1404, 513, 2629, 1909, 538, 6117, 9036, 9698, 267, 4259, 519, 3159, 267, 30191, 4507, 267, 543, 5009, 513, 2528, 540, 14619, 543, 10014, 269, 28304, 2591, 543, 5466, 7496, 547, 9036, 9698, 3340, 513, 7029, 547, 5571, 2069, 543, 2866, 563, 763, 2104, 540, 9036, 9698, 5654, 9621, 267, 609, 6932, 2853, 543, 4066, 602, 666, 2417, 4434, 9036, 9698, 543, 3337, 513, 1732, 13781, 269, 898, 568, 909, 547, 3906, 547, 9784, 891, 2242, 543, 3895, 513, 2528, 540, 14619, 543, 7862, 563, 1432, 1281, 6278, 1611, 538, 519, 9036, 888, 13480, 2897, 6278, 4016, 547, 519, 6708, 547, 799, 5520, 616, 14156, 4448, 543, 8149, 547, 741, 960, 267, 741, 9164, 267, 543, 519, 3919, 607, 513, 2898, 269, 898, 3322, 513, 2631, 540, 11428, 267, 15131, 267, 543, 513, 2178, 7287, 547, 3565, 9797, 547, 519, 2754, 779, 1967, 563, 1432, 568, 606, 1383, 540, 960, 6278, 888, 2304, 1383, 540, 960, 6278, 1223, 581, 606, 9441, 945, 9846, 4422, 1657, 543, 3564, 741, 2816, 9021, 267, 8362, 2535, 919, 538, 2319, 3785, 267, 3091, 5499, 2093, 267, 543, 9727, 513, 9758, 6612, 585, 8236, 1312, 2123, 543, 10721, 3853, 563, 3963, 568, 6278, 1271, 538, 519, 9036, 888, 13480, 2897, 6278, 568, 2629, 1317, 621, 2047, 5222, 9441, 2773, 267, 2816, 9547, 267, 543, 2949, 10721, 1967, 269, 1621, 3042, 5520, 616, 811, 11327, 267, 3860, 267, 543, 10121, 269, 1358, 3565, 547, 513, 2318, 960, 1604, 543, 948, 6536, 513, 2528, 540, 5698, 543, 5647, 563, 1432, 616, 519, 1614, 1292, 3334, 540, 960, 6278, 888, 763, 1614, 1292, 3334, 540, 960, 6278, 616, 966, 580, 528, 281, 901, 4016, 547, 519, 1164, 2157, 540, 1648, 267, 15131, 267, 543, 6043, 602, 5520, 3142, 547, 741, 960, 269, 667, 539, 1709, 281, 667, 539, 1709, 3322, 1373, 9244, 8149, 547, 835, 779, 2816, 543, 4743, 513, 2631, 540, 4644, 543, 20106, 689, 621, 269, 12559, 26975, 281, 12559, 26975, 568, 519, 1533, 1141, 5520, 616, 4628, 27153, 538, 741, 4247, 267, 9561, 3950, 540, 942, 543, 4743, 513, 2620, 2631, 540, 18399, 563, 1432, 1772, 31287, 22580, 543, 4208, 6496, 898, 17460, 888, 32715, 2465, 6278, 568, 519, 3929, 4276, 543, 7029, 5520, 723, 2509, 741, 3919, 269, 898, 6927, 1317, 7722, 5520, 616, 811, 12592, 267, 11327, 267, 543, 2693, 547, 3251, 609, 519, 2754, 269, 898, 9797, 5222, 9441, 1134, 5630, 267, 2816, 9547, 267, 543, 2949, 10721, 2773, 269, 0, 288, 5153, 8386, 28157, 6651, 585, 30488, 454, 13981, 519, 20845, 609, 29069, 15634, 568, 513, 15626, 20089, 267, 543, 7064, 547, 519, 13418, 540, 2228, 2200, 267, 621, 814, 1831, 811, 3015, 982, 2479, 1354, 269, 29069, 15634, 568, 519, 2257, 540, 1697, 12332, 543, 973, 2787, 540, 519, 20845, 267, 543, 621, 568, 2629, 585, 8308, 23187, 519, 10096, 540, 519, 20845, 545, 18627, 269, 769, 713, 1900, 8386, 9912, 3391, 585, 14987, 267, 649, 786, 2263, 875, 547, 1451, 519, 20845, 2228, 609, 29069, 15634, 267, 1210, 1585, 2200, 543, 2228, 20845, 5049, 2139, 563, 3721, 476, 272, 281, 4855, 519, 9406, 6732, 20845, 4147, 454, 763, 1101, 1900, 538, 707, 3460, 547, 1565, 519, 20845, 609, 29069, 15634, 568, 547, 1265, 519, 1318, 2228, 20845, 1362, 269, 26597, 2200, 899, 570, 691, 2465, 548, 304, 584, 534, 267, 20845, 2593, 267, 543, 1866, 2709, 1164, 7779, 2228, 20845, 5049, 609, 29069, 15634, 269, 6733, 585, 513, 18019, 543, 4810, 3760, 547, 2327, 2500, 1565, 563, 3721, 476, 273, 281, 13760, 519, 17943, 454, 6524, 18167, 883, 29069, 15634, 267, 621, 779, 1898, 547, 1174, 519, 17950, 540, 20845, 545, 12428, 269, 6732, 20845, 5049, 1419, 1376, 609, 3450, 519, 12428, 9904, 543, 2596, 12332, 269, 25800, 3054, 609, 891, 9238, 547, 723, 513, 2178, 5748, 563, 3721, 476, 274, 281, 6258, 519, 16390, 540, 29069, 15634, 454, 307, 1690, 15634, 814, 513, 1305, 540, 3652, 12044, 519, 1697, 12332, 540, 20845, 545, 1913, 543, 2453, 269, 1452, 3652, 1331, 4162, 540, 5022, 267, 971, 607, 1627, 531, 336, 531, 1695, 543, 594, 16223, 17304, 267, 607, 1134, 607, 3652, 585, 20436, 566, 543, 16069, 269, 6875, 707, 942, 547, 1451 ]

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

[ 27471, 3086, 602, 649, 723, 938, 1592, 540, 10785, 267, 649, 666, 1376, 12719, 519, 670, 9476, 323, 528, 742, 3845, 1063, 873, 269, 1677, 798, 713, 267, 649, 786, 581, 1210, 519, 2387, 7251, 626, 13237, 1599, 689, 519, 2387, 2675, 27251, 4732, 6312, 658, 6155, 2700, 319, 5399, 269, 901, 1599, 3217, 1079, 5036, 540, 2798, 543, 7024, 513, 5119, 540, 9883, 1063, 1142, 6292, 540, 2798, 780, 6524, 649, 666, 946, 519, 2387, 7251, 626, 13237, 1599, 267, 649, 991, 547, 1349, 519, 4143, 1239, 689, 938, 14449, 269, 13018, 267, 649, 991, 519, 834, 5793, 1640, 18386, 16557, 257, 543, 834, 338, 16577, 18386, 16557, 257, 585, 1142, 4541, 538, 1142, 10471, 269, 1284, 666, 798, 713, 1210, 513, 8520, 1384, 3499, 7090, 454, 23251, 1734, 815, 29129, 1721, 4541, 538, 10785, 912, 825, 1535, 815, 11713, 825, 586, 815, 11713, 825, 585, 4395, 538, 546, 272, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 1535, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 257, 14963, 2020, 825, 585, 4395, 538, 546, 273, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 586, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 19312, 7481, 825, 1253, 815, 3845, 6983, 23251, 18828, 15126, 3287, 1070, 12639, 15126, 12169, 4917, 825, 9883, 6910, 18828, 269, 2381, 5560, 626, 4917, 7884, 1103, 713, 3009, 267, 649, 1101, 1711, 606, 8900, 1592, 1572, 2387, 23251, 1734, 18269, 901, 786, 4558, 519, 670, 9476, 323, 528, 742, 9883, 1063, 519, 10785, 538, 519, 1079, 14449, 780, 9202, 267, 649, 946, 513, 8520, 547, 621, 4733, 936, 1142, 4541, 538, 519, 2387, 17839, 1115, 319, 1592, 269, 1280, 1142, 4541, 267, 649, 1349, 519, 4143, 1239, 689, 519, 2387, 323, 272, 319, 543, 2387, 323, 273, 319, 14449, 543, 4558, 873, 538, 519, 4632, 2387, 343, 319, 543, 2387, 344, 12452, 6606, 269, 1452, 4632, 616, 8638, 540, 8638, 267, 1141, 1142, 6418, 1592, 3568, 519, 834, 5793, 1640, 18386, 16557, 257, 543, 834, 338, 16577, 18386, 16557, 257, 585, 513, 1880, 4541, 780, 5629, 649, 723, 938, 1239, 267, 649, 666, 946, 519, 2387, 7251, 626, 13237, 1599, 547, 5173, 519, 9883, 1063, 519, 10785, 538, 519, 1079, 14449, 269, 1284, 1287, 4558, 519, 5934, 3845, 538, 519, 2387, 23251, 1734, 319, 1592, 780, 7661, 267, 649, 666, 1711, 513, 3308, 6041, 540, 938, 4681, 1210, 519, 2387, 572, 629, 1941, 319, 5399, 1384, 3499, 7090, 454, 4206, 815, 19073, 6185, 1092, 20988, 20719, 257, 17839, 564, 257, 2433, 10785, 267, 834, 295, 9476, 323, 528, 742, 3845, 9899, 9883, 348, 994, 338, 985, 269, 8663, 7120, 3287, 815, 834, 17839, 564, 2580, 586, 815, 834, 295, 9476, 323, 528, 742, 3845, 2580, 1239, 815, 17093, 994, 10823, 269, 21683, 13640, 4461, 269, 26303, 20719, 262, 325, 2632, 25915, 9166, 476, 1839, 348, 994, 10823, 20481, 10797, 4206, 30419, 32269, 2891, 10177, 653, 626, 27133, 5091, 626, 1734, 318, 273, 27406, 2580, 8161, 815, 8771, 994, 7884, 1103, 713, 3009, 267, 649, 1101, 1711, 513, 2387, 10574, 20988, 319, 689, 938, 2387, 17839, 1115, 319, 543, 2387, 23251, 1734, 319, 8638, 269, 589, 2387, 10574, 20988, 319, 568, 513, 3349, 540, 1239, 267, 2147, 547, 513, 22369, 269, 1284, 1287, 946, 519, 2387, 338, 985, 269, 8663, 7120, 13237, 1599, 547, 1711, 513, 3046, 4729, 540, 938, 1239, 269, 634, 2387, 343, 319, 4661, 23403, 519, 10297, 585, 519, 1535, 14289, 267, 543, 519, 2387, 344, 319, 4661, 23403, 519, 2418, 585, 519, 586, 14289, 269, 1284, 849, 946, 519, 2387, 10823, 269, 21683, 13640, 4461, 269, 26303, 13237, 1599, 547, 1305, 519, 13944, 2450, 585, 938, 4729, 780, 7661, 267, 649, 946, 519, 2387, 1729, 32269, 13237, 1599, 547, 4688, 938, 1239, 547, 513, 11483, 309, 3758, 269, 901, 3758, 666, 581, 8118, 538, 513, 22369, 1982, 899, 9185, 585, 2417, 2079, 780, 4517, 602, 781, 621, 256, 769, 713, 1770, 267, 649, 4121, 875, 547, 5659, 543, 5635, 1239, 689, 1079, 1114, 2959, 1210, 5124, 269, 1284, 1031, 519, 670, 9476, 323, 528, 742, 3845, 547, 2268, 519, 3017, 1063, 519, 10785, 538, 519, 1079, 14449, 267, 543, 1287, 2813, 513, 3308, 6041, 540, 938, 4681, 1210, 519, 2387, 572, 629, 1941, 319, 5399, 269, 901, 1184, 3238, 1896, 3268, 267, 855, 676, 8840, 621, 1524, 883, 4130, 4247, 267, 649, 941, 2111, 547, 10994, 1142, 835, 14350, 543, 1628, 909, 547, 938, 3803, 1267, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 677, 524, 23251, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 21267, 1104, 7510, 7120, 607, 12301, 454, 5814, 26026, 1941, 607, 521, 985, 692, 5976, 1930, 2891, 336, 335, 810, 4671, 571, 653, 626, 6831, 3464, 318, 272, 12459, 5459, 2580, 834, 337, 8442, 607, 535, 912, 825, 546, 272, 815, 795, 5459, 269, 2903, 338, 6600, 18667, 31156, 5976, 1930, 2891, 336, 335, 810, 4671, 571, 653, 626, 318, 7116, 1881, 6831, 3464, 318, 273, 12459, 5459, 14824, 337, 8442, 607, 535, 912, 825, 546, 273, 815, 795, 5459, 269, 2903, 338, 6600, 18667, 31156, 17839, 1115, 815, 1592, 263, 3553, 5560, 272, 269, 12399, 3890, 1040, 5793, 7611, 263, 3553, 5560, 273, 269, 12399, 3890, 4297, 2020, 23251, 1734, 815, 29129, 1721, 4541, 538, 10785, 912, 825, 1535, 815, 11713, 825, 586, 815, 11713, 825, 585, 4395, 538, 546, 272, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 1535, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 257, 14963, 2020, 825, 585, 4395, 538, 546, 273, 314, 17839, 564, 6012, 257, 6768, 1729, 6958, 3224, 257, 14158, 1038, 586, 6910, 8443, 12506, 14277, 15953, 1161, 257, 6012, 257, 5793, 1640, 23962, 257, 3910, 12506, 14277, 15953, 1161, 257, 6012, 257, 338, 16577, 23962, 19312, 7481, 825, 1253, 815, 524, 23251, 18828, 15126, 3287, 1070, 12639, 15126, 12169, 4917, 825, 9883, 6910, 18828, 269, 2381, 5560, 626, 11723, 4206, 815, 19073, 6185, 1092, 20988, 20719, 257, 17839, 564, 257, 2433, 10785, 267, 834, 295, 9476, 323, 528, 742, 3845, 9899, 9883, 348, 994, 338, 985, 269, 8663, 7120, 3287, 815, 834, 17839, 564, 2580, 586, 815, 834, 295, 9476, 323, 528, 742, 3845, 2580, 1239, 815, 17093, 994, 10823, 269, 21683, 13640, 4461, 269, 26303, 20719, 262, 325, 2632, 25915, 9166, 476, 1839, 348, 994, 10823, 20481, 10797, 4206, 30419, 32269, 2891, 10177, 653, 626, 27133, 5091, 626, 1734, 318, 273, 27406, 2580, 8161, 815, 8771, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 536, 22324, 3957, 18581, 945, 5030, 538, 513, 18241, 3276, 992, 538, 519, 2295, 540, 519, 29268, 267, 4481, 538, 19578, 269, 18581, 6068, 547, 2263, 543, 1451, 827, 1007, 1919, 269, 2290, 1554, 267, 646, 23986, 731, 1010, 4587, 16254, 6158, 827, 513, 2462, 7552, 789, 941, 4058, 547, 979, 593, 676, 2933, 269, 901, 17275, 18581, 781, 7279, 543, 646, 4280, 1010, 16254, 267, 834, 1432, 1281, 1412, 10177, 767, 532, 4805, 262, 1611, 12482, 14367, 11078, 267, 645, 7578, 267, 6045, 267, 834, 11039, 18581, 267, 950, 649, 2161, 1412, 10177, 767, 10086, 621, 1797, 2469, 547, 3643, 1007, 4025, 267, 2743, 1007, 2828, 267, 543, 2119, 26345, 1426, 1701, 2701, 4797, 267, 834, 4517, 1412, 29671, 262, 1175, 1797, 1510, 938, 1920, 543, 2828, 11836, 721, 593, 713, 1808, 7552, 269, 1809, 1810, 1405, 5855, 267, 649, 3513, 1869, 1118, 6266, 540, 1007, 2828, 15323, 289, 10154, 1185, 811, 2055, 269, 1261, 9289, 267, 834, 1692, 798, 596, 5965, 585, 971, 513, 3460, 286, 1656, 1946, 798, 649, 991, 547, 3142, 1152, 1018, 781, 2556, 8119, 4256, 7015, 267, 25381, 267, 16403, 539, 538, 267, 834, 6546, 781, 513, 1390, 2243, 267, 18581, 256, 1879, 8600, 585, 513, 7552, 267, 649, 1101, 1589, 827, 1141, 649, 1616, 547, 979, 269, 1280, 3236, 267, 6148, 9683, 4190, 16506, 609, 922, 1082, 12647, 610, 5310, 27093, 17857, 609, 12902, 15113, 543, 9299, 597, 625, 269, 3973, 267, 649, 3640, 9660, 543, 9162, 602, 649, 1131, 991, 1282, 519, 7552, 855, 3314, 267, 8876, 1447, 2306, 3001, 1472, 4443, 543, 811, 6899, 3010, 289, 11035, 3773, 267, 834, 2005, 781, 849, 10930, 547, 3914, 938, 18353, 1282, 519, 24817, 2094, 3388, 568, 1930, 543, 6505, 269, 1284, 666, 3362, 2307, 1866, 585, 948, 952, 2877, 267, 899, 4466, 513, 17681, 6288, 610, 8949, 4672, 8645, 6300, 15323, 11900, 18944, 676, 1010, 16254, 262, 2984, 267, 18581, 7948, 1405, 7227, 585, 1010, 1378, 21088, 7045, 14693, 269, 2060, 513, 12837, 267, 646, 1767, 1434, 25742, 547, 645, 7578, 543, 25381, 267, 5577, 4771, 1394, 883, 1010, 3276, 992, 267, 31113, 29681, 540, 2312, 4544, 22839, 543, 11995, 3039, 4610, 7996, 547, 581, 8268, 910, 1318, 1934, 538, 519, 8748, 11068, 13523, 2829, 540, 29722, 267, 23794, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 543, 12676, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 3483, 540, 1272, 568, 547, 2661, 909, 547, 519, 25932, 267, 10544, 519, 5021, 1187, 267, 543, 2972, 547, 707, 2407, 652, 1247, 1565, 543, 3695, 513, 1007, 7045, 269, 3752, 334, 10707, 568, 835, 540, 519, 1034, 8049, 543, 3078, 1007, 2833, 602, 596, 666, 1039, 547, 707, 19943, 1592, 538, 707, 1272, 3460, 256, 32027, 782, 602, 11735, 267, 1934, 616, 930, 540, 519, 1655, 476, 1240, 9669, 585, 3752, 334, 13488, 538, 476, 1708, 274, 585, 4896, 281, 581, 621, 519, 1762, 610, 519, 2025, 2336, 5522, 8911, 568, 835, 540, 519, 1034, 2629, 2188, 952, 596, 723, 4956, 547, 2951, 4805, 269, 9282, 707, 1544, 585, 519, 5551, 10278, 991, 711, 581, 1932, 1454, 2143, 267, 621, 568, 513, 1590, 602, 596, 723, 606, 7291, 540, 519, 2238, 596, 786, 581, 2502, 538, 267, 865, 1287, 596, 3580, 723, 606, 2856, 540, 707, 3460, 269, 898, 568, 16601, 547, 1205, 707, 1433, 902, 2944, 585, 519, 3251, 563, 13014, 2386, 596, 1491, 1152, 519, 3688, 602, 616, 2556, 607, 952, 519, 9883, 596, 723, 547, 2951, 1369, 519, 2197, 616, 5318, 267, 621, 666, 581, 1500, 2653, 585, 596, 563, 9199, 767, 547, 707, 10278, 1282, 519, 1554, 454, 2691, 596, 12446, 1282, 1554, 942, 267, 621, 568, 606, 4443, 4305, 585, 596, 547, 1265, 1022, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 2136, 2276, 1315, 29268, 1315, 4639, 3345, 6239, 630, 8656, 267, 23794, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 12676, 264, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 1724, 281, 19484, 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 ]

[ 14142, 268, 12133, 1790, 3789, 270, 7531, 27309, 3582, 815, 8173, 14756, 503, 27936, 22047, 26406, 496, 31365, 12255, 14756, 482, 25520, 22047, 25203, 362, 21550, 485, 29219, 8147, 21928, 12255, 14756, 482, 18809, 19867, 378, 28996, 25203, 362, 21550, 485, 29219, 8147, 23946, 370, 13213, 498, 18713, 508, 10429, 370, 27381, 351, 19764, 499, 454, 417, 28187, 31563, 25203, 362, 21550, 485, 29219, 21251, 11858, 502, 21928, 30678, 12255, 14756, 482, 18809, 8147, 13213, 498, 18713, 508, 14395, 481, 16533, 484, 25263, 504, 420, 351, 360, 418, 490, 487, 421, 350, 374, 31365, 418, 493, 496, 24662, 7511, 12916, 491, 419, 377, 362, 25707, 12916, 510, 23746, 23284, 417, 479, 485, 18777, 378, 12255, 14756, 482, 18809, 20721, 510, 19404, 491, 14035, 491, 30317, 27381, 510, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 276, 454, 27447, 24731, 281, 476, 273, 692, 419, 353, 374, 28032, 489, 1109, 273, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 273, 454, 27447, 24731, 281, 476, 272, 692, 419, 353, 374, 28032, 489, 476, 274, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 278, 454, 27447, 24731, 281, 476, 275, 692, 419, 353, 374, 28032, 489, 476, 275, 912, 27447, 24662, 281, 1496, 272, 267, 274, 267, 276, 267, 277, 3910, 476, 271, 454, 27447, 24731, 281, 476, 271, 454, 20701, 454, 8025, 2562, 32578, 815, 8173, 20069, 31365, 12255, 14756, 482, 30244, 26175, 491, 418, 509, 354, 19867, 378, 13601, 420, 486, 361, 15159, 11590, 490, 26166, 418, 509, 354, 19867, 378, 454, 26233, 507, 420, 371, 363, 15159, 8147, 26266, 355, 9463, 367, 12571, 482, 10254, 505, 417, 375, 374, 22047, 418, 490, 485, 421, 496, 486, 3847, 267, 1318, 8147, 30006, 493, 418, 361, 350, 10254, 353, 13161, 511, 18809, 25426, 368, 263, 3847, 1341, 630, 2431, 910, 2451, 264, 12262, 476, 273, 264, 7511, 12255, 21211, 25520, 339, 13759, 7511, 27962, 16533, 493, 10429, 367, 419, 367, 375, 454, 417, 28187, 31563, 16533, 493, 30678, 339, 13759, 10254, 503, 19404, 491, 13161, 364, 18777, 378, 419, 377, 362, 3847, 20992, 13232, 266, 272, 8147, 417, 28187, 31563, 27962, 30678, 16043, 500, 419, 511, 487, 30678, 339, 13759, 10254, 503, 19404, 491, 13161, 364, 18777, 378, 419, 377, 362, 2431, 20992, 13232, 454, 12571, 490, 28793, 25051, 497, 3847, 285, 284, 2431, 28793, 10254, 503, 417, 479, 506, 27882, 351, 23523, 359, 27064, 363, 8147, 13213, 498, 18713, 508, 3847, 454, 20701, 454, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 3406, 11900, 1068, 4311, 267, 15358, 281, 5903, 27776, 3910, 3077, 281, 703, 264, 9847, 703, 912, 1038, 952, 711, 15358, 912, 2018, 2132, 476, 271, 692, 1038, 561, 815, 7003, 25225, 994, 1038, 2451, 267, 1318, 815, 476, 271, 267, 561, 454, 1038, 1247, 2451, 2999, 1318, 912, 2018, 4571, 815, 2451, 1341, 630, 2431, 910, 2451, 264, 12262, 476, 273, 454, 2018, 952, 15358, 314, 13232, 316, 2999, 3077, 912, 3546, 2451, 815, 4571, 1341, 476, 272, 454, 2018, 3116, 912, 3546, 1318, 815, 4571, 454, 1038, 2132, 2451, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 521, 815, 8827, 4590, 825, 15358, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1691, 2639, 825, 3077, 815, 476, 1724, 454, 825, 1820, 4433, 269, 14142, 11900, 1068, 25225, 267, 3077, 4917, 0, 18257, 901, 568, 585, 1818, 519, 1412, 516, 1842, 262, 3349, 585, 519, 1239, 547, 979, 538, 454, 290, 3918, 12442, 570, 21764, 476, 2387, 326, 527, 18269, 319, 516, 1842, 319, 27210, 319, 573, 319, 21850, 263, 476, 1556, 3738, 10691, 715, 26097, 31377, 2387, 4067, 319, 570, 28692, 2910, 17247, 12442, 30016, 279, 10734, 514, 10691, 715, 26097, 31377, 2387, 21459, 12173, 319, 570, 28692, 2910, 17247, 12442, 30016, 279, 10734, 514, 10691, 715, 26097, 31377, 2387, 1440, 10675, 319, 570, 2562, 312, 19860, 263, 476, 272, 3738, 10691, 715, 26097, 31377, 2387, 9188, 5524, 319, 570, 28692, 2910, 17247, 12442, 30016, 279, 10734, 514, 10691, 715, 26097, 31377, 2387, 325, 1251, 319, 570, 2562, 312, 19860, 263, 476, 272, 3738, 10691, 715, 26097, 31377, 303, 6020, 300, 14473, 26395, 312, 630, 476, 2387, 573, 319, 12467, 264, 22164, 815, 5442, 301, 7495, 289, 667, 9128, 288, 17109, 8863, 12678, 4953, 815, 30016, 279, 2910, 17247, 12442, 815, 30016, 279, 10734, 514, 454, 18257, 692, 5814, 13668, 454, 5814, 21795, 607, 533, 333, 454, 5814, 942, 454, 5814, 3733, 21415, 27219, 454, 5228, 21795, 269, 1470, 1104, 13483, 331, 692, 4785, 2207, 318, 293, 11223, 815, 1930, 3488, 326, 603, 889, 318, 777, 328, 318, 12528, 17902, 5073, 4785, 2207, 815, 2475, 2207, 318, 293, 11223, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 303, 3008, 14684, 16704, 815, 2475, 2207, 318, 293, 11223, 18667, 1467, 14061, 337, 29328, 28361, 333, 5073, 4785, 2207, 318, 293, 11223, 25379, 10797, 692, 3698, 4688, 23631, 1842, 6262, 870, 284, 1911, 1822, 271, 2187, 825, 5727, 547, 1205, 1592, 540, 1065, 657, 23099, 3097, 825, 519, 1293, 568, 519, 1297, 540, 13668, 547, 519, 16286, 269, 3962, 7662, 7024, 476, 1911, 1065, 657, 454, 825, 547, 1412, 637, 2541, 262, 713, 1310, 2907, 4946, 5638, 547, 3349, 267, 3097, 825, 1039, 7790, 26238, 24210, 1141, 1535, 568, 519, 2063, 9517, 538, 707, 3349, 563, 825, 594, 6415, 1152, 9494, 476, 277, 4632, 1318, 1631, 1317, 1034, 540, 519, 4632, 8120, 3097, 825, 616, 15745, 338, 602, 1246, 513, 1305, 2497, 543, 4061, 1223, 581, 3362, 3710, 689, 519, 2407, 12173, 7055, 825, 29185, 825, 598, 815, 3733, 21415, 27219, 269, 6618, 2891, 29985, 10676, 2580, 2475, 2207, 267, 623, 3008, 14684, 16704, 267, 834, 326, 527, 2580, 1347, 3553, 8782, 583, 325, 279, 5073, 825, 29250, 815, 1412, 10059, 2517, 777, 328, 3052, 603, 889, 2593, 22812, 1842, 527, 1559, 7055, 825, 585, 1535, 538, 1535, 9792, 263, 272, 267, 12248, 2187, 1038, 556, 336, 815, 13668, 10947, 263, 14766, 267, 2246, 327, 14352, 4785, 2207, 267, 303, 3008, 14684, 16704, 4917, 1038, 29250, 815, 556, 336, 7456, 3855, 9131, 10113, 262, 6012, 262, 14766, 23300, 1038, 17093, 4671, 11391, 815, 533, 333, 6185, 1092, 20988, 4590, 1038, 952, 263, 516, 336, 269, 758, 2187, 2018, 1065, 334, 2005, 655, 815, 556, 336, 12459, 5459, 454, 2018, 1065, 657, 32470, 4671, 11391, 815, 533, 333, 6185, 1092, 20988, 269, 5228, 18380, 263, 10517, 334, 2005, 655, 994, 2018, 17093, 4671, 11391, 815, 1065, 657, 32470, 4671, 11391, 314, 9131, 573, 12887, 4067, 12887, 1440, 10675, 12887, 21459, 12173, 12887, 9188, 5524, 12887, 325, 1251, 11172, 2639, 2018, 17093, 4671, 11391, 815, 17093, 4671, 11391, 8807, 650, 3534, 3488, 10807, 4848, 454, 2018, 13483, 331, 22182, 6958, 9347, 29254, 4671, 11391, 267, 598, 284, 935, 267, 2012, 8782, 516, 1842, 3299, 3097, 3546, 952, 318, 1410, 1235, 8782, 6572, 3299, 8137, 8782, 332, 903, 27942, 5073, 1038, 1820, 1412, 325, 564, 3481, 476, 1911, 9343, 7055, 1038, 942, 4732, 2748, 263, 272, 269, 271, 994, 825, 2132, 17093, 4671, 11391, 692, 1038, 19638, 692, 0, 1029, 10461, 1029, 815, 1412, 7770, 10202, 629, 7776, 7055, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 262, 476, 13213, 508, 26406, 354, 332, 784, 334, 12255, 29004, 362, 18021, 497, 28847, 4289, 815, 1496, 273, 267, 276, 267, 2537, 267, 2918, 267, 3374, 267, 4343, 267, 4510, 267, 7871, 267, 2568, 267, 7761, 267, 5952, 267, 9834, 267, 10755, 267, 14689, 267, 22145, 2639, 22772, 301, 684, 828, 815, 476, 7367, 454, 12506, 815, 476, 271, 454, 754, 815, 7003, 17338, 994, 13232, 815, 630, 12506, 1341, 1439, 8358, 273, 454, 6112, 630, 12506, 10922, 1439, 264, 10778, 1038, 952, 1265, 301, 684, 828, 283, 1592, 314, 13232, 14158, 2018, 1439, 815, 4571, 268, 272, 454, 2018, 4571, 815, 630, 12506, 266, 754, 8358, 273, 454, 1038, 8640, 1265, 301, 684, 828, 285, 1592, 314, 13232, 14158, 2018, 4395, 815, 4571, 266, 272, 454, 2018, 4571, 14352, 12506, 266, 754, 8358, 273, 454, 1038, 3116, 912, 2018, 1820, 1592, 314, 13232, 3910, 4571, 454, 2018, 2736, 454, 604, 630, 12506, 3436, 1439, 2187, 825, 1820, 834, 2254, 1265, 5016, 0, 3698, 554, 8457, 328, 3799, 267, 535, 267, 512, 2187, 825, 952, 562, 2525, 272, 281, 825, 2132, 1820, 6600, 257, 346, 325, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 14602, 502, 476, 272, 423, 366, 486, 10563, 505, 494, 425, 490, 494, 14602, 482, 2715, 339, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 29306, 494, 10563, 502, 362, 422, 372, 368, 30319, 1701, 264, 476, 1948, 535, 29306, 494, 424, 482, 506, 512, 423, 350, 506, 476, 272, 423, 366, 486, 10563, 505, 494, 425, 490, 494, 14602, 482, 10563, 502, 362, 422, 372, 368, 30319, 563, 825, 554, 8457, 328, 3799, 268, 272, 267, 535, 267, 476, 277, 1922, 2389, 994, 825, 1820, 6600, 257, 346, 325, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 14602, 502, 2715, 333, 348, 423, 366, 486, 10563, 505, 494, 425, 490, 494, 14602, 482, 2715, 339, 348, 423, 366, 486, 21844, 372, 364, 423, 495, 354, 29306, 494, 10563, 502, 362, 422, 372, 368, 30319, 1701, 264, 825, 1948, 535, 29306, 494, 10563, 508, 486, 32629, 498, 476, 17432, 506, 32174, 506, 14602, 502, 10563, 505, 494, 425, 490, 494, 14602, 482, 512, 423, 350, 506, 10563, 502, 362, 422, 372, 368, 30319, 563, 825, 554, 8457, 328, 3799, 268, 272, 267, 476, 277, 1922, 2389, 267, 512, 2020, 7315, 16211, 263, 274, 267, 272, 267, 274, 264, 0, 3269, 3269, 273, 269, 604, 423, 361, 372, 14602, 482, 10563, 507, 368, 424, 504, 358, 17432, 368, 10563, 366, 360, 423, 366, 486, 424, 356, 372, 424, 503, 478, 14091, 495, 494, 423, 366, 486, 10563, 486, 502, 267, 10563, 501, 364, 424, 480, 364, 422, 372, 364, 425, 502, 372, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 422, 366, 490, 476, 17432, 502, 29306, 361, 21844, 367, 482, 424, 480, 364, 32174, 496, 27338, 14091, 480, 502, 424, 502, 353, 32629, 498, 21844, 367, 482, 424, 480, 364, 422, 372, 364, 423, 354, 376, 14091, 356, 490, 423, 497, 506, 424, 489, 506, 424, 502, 353, 7531, 424, 502, 486, 424, 489, 506, 454, 283, 28990, 483, 423, 510, 354, 11417, 424, 366, 360, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 476, 1015, 454, 423, 495, 494, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 476, 1428, 454, 424, 500, 368, 423, 500, 353, 10563, 501, 364, 424, 480, 364, 14602, 482, 476, 17432, 502, 424, 489, 353, 21844, 365, 368, 32174, 478, 424, 504, 498, 286, 2433, 2608, 692, 283, 424, 370, 506, 423, 510, 354, 11417, 5611, 454, 20701, 11133, 272, 815, 10581, 9272, 3488, 424, 366, 360, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 1412, 4917, 11133, 273, 815, 10581, 9272, 3488, 423, 495, 494, 14091, 366, 486, 424, 356, 372, 10563, 486, 502, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 2433, 1412, 4917, 641, 815, 3403, 3488, 424, 500, 368, 423, 500, 353, 10563, 501, 364, 424, 480, 364, 14602, 482, 476, 17432, 502, 424, 489, 353, 21844, 365, 368, 32174, 478, 424, 504, 498, 286, 2433, 1412, 2020, 604, 1566, 2652, 1412, 266, 12466, 825, 1820, 16325, 272, 266, 11133, 273, 994, 19197, 1566, 2652, 21029, 12466, 825, 1820, 16325, 272, 5991, 636, 273, 994, 19197, 1566, 2652, 24003, 12466, 825, 1820, 17301, 16325, 272, 265, 11133, 273, 4917, 19197, 1566, 2652, 23367, 12466, 825, 1820, 17301, 16325, 272, 2260, 11133, 273, 4917, 0, 18411, 272, 563, 423, 361, 372, 28990, 494, 29306, 368, 14602, 502 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1948, 901, 3009, 3096, 1239, 3177, 676, 808, 12195, 547, 5173, 519, 16977, 7158, 454, 1948, 540, 782, 540, 519, 2101, 10785, 538, 856, 3859, 1062, 780, 5228, 2979, 1104, 5609, 267, 5430, 267, 21762, 267, 14039, 267, 535, 7116, 267, 535, 11274, 267, 693, 534, 273, 454, 5814, 19523, 7531, 3698, 2638, 318, 19587, 263, 1718, 267, 20444, 326, 2187, 825, 952, 711, 7873, 912, 1038, 6318, 14136, 303, 3789, 13286, 263, 916, 326, 9239, 5035, 14136, 303, 3789, 13286, 263, 2750, 4003, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 454, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1065, 337, 4311, 27841, 9239, 3698, 1183, 680, 619, 318, 18091, 3287, 267, 524, 267, 547, 331, 284, 272, 269, 271, 324, 268, 277, 2187, 825, 5727, 306, 11510, 1535, 284, 344, 2275, 265, 7562, 12169, 264, 6746, 1227, 12163, 825, 886, 815, 476, 1911, 1822, 269, 271, 454, 825, 586, 815, 1535, 1341, 5609, 3287, 994, 825, 1247, 535, 11274, 5560, 858, 264, 285, 339, 565, 912, 1038, 546, 13448, 815, 1535, 910, 630, 344, 2275, 265, 7562, 12169, 4917, 1038, 546, 14729, 815, 546, 13448, 14370, 272, 269, 271, 2275, 265, 6523, 12169, 4917, 1038, 586, 6834, 546, 14729, 454, 1038, 886, 815, 546, 14729, 1948, 1607, 568, 519, 886, 540, 519, 3105, 21767, 267, 855, 1869, 780, 825, 2132, 586, 7531, 3698, 1205, 19553, 592, 1014, 318, 5228, 318, 684, 1460, 263, 684, 1460, 27908, 1047, 14369, 2187, 825, 8173, 1038, 20593, 1206, 689, 796, 1460, 942, 630, 514, 1984, 1047, 6948, 264, 547, 9168, 30486, 11261, 563, 825, 8173, 825, 2132, 796, 1460, 27908, 1047, 14369, 1315, 476, 279, 5038, 1822, 876, 269, 271, 1341, 476, 28192, 4962, 279, 278, 269, 276, 7531, 3698, 1205, 29223, 263, 17839, 564, 267, 512, 267, 796, 1460, 22710, 25716, 267, 9079, 337, 325, 25716, 267, 9764, 25716, 2187, 825, 8173, 1038, 6726, 919, 519, 2990, 540, 513, 4541, 269, 634, 2990, 568, 6027, 538, 22847, 630, 1492, 1611, 454, 1038, 3845, 689, 519, 3141, 547, 519, 3618, 264, 543, 519, 942, 538, 1296, 563, 1038, 634, 2990, 568, 2016, 538, 606, 17772, 328, 10364, 11282, 1062, 267, 543, 512, 284, 1220, 271, 1797, 454, 1038, 519, 2490, 540, 519, 5767, 1984, 22431, 780, 1038, 910, 4541, 519, 2012, 610, 4994, 540, 519, 4541, 269, 634, 4994, 1058, 581, 476, 271, 268, 8161, 539, 780, 1038, 910, 512, 942, 6027, 538, 1296, 2094, 519, 4332, 540, 2441, 269, 630, 528, 1984, 1047, 6948, 2094, 454, 16875, 476, 272, 3967, 476, 3192, 271, 476, 271, 281, 876, 952, 796, 1460, 22710, 568, 1031, 2020, 11434, 910, 9764, 18989, 3096, 606, 19406, 540, 519, 14248, 18967, 673, 10739, 1210, 513, 5858, 269, 901, 454, 1363, 568, 5594, 5488, 780, 1038, 910, 796, 1460, 22710, 18989, 1797, 602, 519, 3403, 942, 568, 2016, 538, 2192, 1047, 6948, 2094, 476, 272, 3967, 476, 3192, 271, 476, 271, 281, 876, 780, 1038, 910, 9079, 337, 325, 18989, 2242, 519, 4717, 514, 520, 1062, 547, 606, 20337, 531, 11282, 1062, 780, 1038, 7024, 281, 1323, 5044, 540, 3259, 476, 274, 267, 609, 519, 2990, 540, 519, 4541, 563, 567, 8173, 825, 6724, 815, 20886, 271, 269, 4343, 278, 271, 4200, 2767, 267, 476, 271, 269, 13078, 277, 3374, 11152, 267, 476, 278, 269, 21916, 280, 8064, 6349, 267, 476, 21857, 269, 7742, 26825, 2004, 267, 476, 6507, 269, 3393, 278, 8064, 277, 2764, 267, 476, 4366, 269, 20065, 278, 4792, 11152, 267, 476, 271, 269, 1822, 1822, 4391, 267, 26444, 1038, 476, 271, 269, 1822, 25171, 6187, 267, 910, 271, 269, 22650, 280, 5325, 5392, 267, 476, 14983, 5325, 273, 269, 6858, 275, 9340, 4037, 267, 476, 271, 269, 8182, 5325, 277, 8660, 267, 910, 271, 269, 10219, 22430, 10037, 3910, 1496, 271, 269, 278, 2537, 28178, 5780, 267, 476, 271, 269, 24879, 6507, 277, 7761, 12101, 454, 1038, 476, 274, 269, 4375, 275, 6858, 277, 4962, 267, 476, 8687, 269, 280, 8064, 271, 4200, 2004, 267, 476, 14530, 269, 2568, 273, 5379, 278, 1240, 267, 476, 10602, 269, 6858, 280, 279, 5655, 4649, 267, 476, 271, 269, 1822, 19740, 3445, 267, 910, 271, 269, 1822, 271, 6078, 5881, 267, 910, 271, 269, 1822, 4281, 279, 3445, 267, 26444, 1038, 476, 276, 5952, 1704, 269, 279, 1428, 4343, 278, 3066, 267, 476, 271, 269, 16573, 6924, 274, 3066, 267, 910, 271, 269, 28071, 7597, 275, 1240, 3910, 1496, 272, 269, 1822, 16573, 8618, 267, 476, 271, 269, 28318, 278, 1556, 2537, 267, 910, 271, 269, 1822, 27888, 4029, 267, 476, 1911, 269, 275, 5038, 6872, 272, 5780, 12101, 454, 1038, 476, 9083, 269, 280, 4391, 6924, 272, 11152, 267, 476, 271, 269, 271, 267, 476, 271, 269, 1822, 22650, 7830, 267, 910, 271, 269, 1822, 271, 6246, 10844, 267, 910, 271, 269, 23713, 280, 5379, 6924, 267, 476, 3374, 280, 4200, 269, 4391, 273, 4510, 280, 10037, 267, 476, 271, 269, 26825, 24129, 5038, 267, 476, 271, 269, 271, 3910, 26444, 1038, 1496, 272, 269, 276, 2537, 278, 1015, 4097, 267, 476, 271, 269, 6021, 274, 4375, 275, 1015, 267, 476, 272, 269, 279, 5392, 7597, 272, 5655, 267, 910, 275, 269, 4649, 274, 28242, 4962, 267, 910, 2537, 269, 280, 6246, 277, 3066, 6795, 267, 476, 5392, 269, 4649, 280, 276, 4343, 11011, 267, 476, 271, 269, 1822, 26289, 5325, 267, 26444, 1038, 476, 271, 269, 1822, 271, 4281, 11025, 267, 910, 271, 269, 25484, 14530, 4029, 267, 476, 4489, 2412, 269, 23714, 6924, 275, 4200, 267, 476, 271, 269, 29900, 25148, 6434, 267, 910, 271, 269, 29580, 6872, 274, 6246, 3910, 1496, 276, 269, 1708, 6434, 278, 876, 267, 476, 271, 269, 271, 4366, 4343, 277, 2190, 267, 26444, 1038, 476, 272, 269, 19054, 31256, 4817, 267, 476, 4097, 269, 31256, 24496, 7906, 267, 476, 1691, 269, 278, 2764, 5325, 280, 10695, 267, 476, 1911, 269, 5325, 274, 3445, 280, 6021, 267, 910, 271, 269, 1822, 14138, 5881, 267, 910, 271, 269, 1822, 15171, 7871, 267, 910, 271, 269, 9826, 279, 4391, 1691, 267, 26444, 1038, 476, 24062, 275, 269, 278, 5379, 14096, 4037, 267, 476, 271, 269, 18891, 276, 2918, 6924, 267, 476, 271, 269, 14225, 7597, 272, 6187, 25662, 280, 269, 276, 3607, 277, 4037, 11463, 267, 476, 271, 269, 4962, 274, 279, 8618, 8064, 267, 476, 273, 269, 4366, 276, 4200, 272, 9262, 267, 476, 5392, 269, 4817, 275, 28192, 2537, 267, 26444, 1038, 476, 10844, 269, 6795, 279, 279, 4281, 4029, 267, 476, 13647, 269, 5780, 273, 275, 2190, 4366, 267, 910, 271, 269, 9826, 7742, 2568, 267, 910, 271, 269, 1822, 2004, 280, 11011, 267, 476, 271, 269, 9826, 280, 3607, 6021, 267, 476, 14338, 273, 269, 5392, 274, 25118, 4905, 267, 910, 271, 269, 275, 1240, 280, 7761, 1626, 267, 26444, 1038, 910, 271, 269, 25971, 277, 6507, 11463, 3910, 1496, 866, 269, 6245, 13932, 5038, 267, 476, 271, 269, 271, 5325, 27038, 4510, 267, 476, 271, 269, 6507, 273, 277, 4391, 10695, 267, 476, 27123, 269, 24487, 10441, 7906, 267, 476, 10204, 269, 4817, 275, 28510, 1789, 267, 476, 10619, 269, 28318, 280, 1839, 6734, 267, 26444, 1038, 910, 271, 269, 9826, 280, 8618, 10602, 267, 910, 271, 269, 1822, 271, 6246, 9032, 267, 910, 271, 269, 16573, 275, 3066, 4375, 267, 476, 275, 2764, 269, 4366, 273, 271, 2767, 5952, 267, 476, 271, 269, 2412, 279, 32180, 10037, 267, 476, 271, 269, 271, 5655, 28147, 8660, 3910, 1496, 1789, 269, 6187, 280, 280, 2420, 10602, 267, 26444, 1038, 476, 271, 269, 25484, 276, 3445, 4366, 267, 476, 272, 269, 278, 3583, 271, 6246, 5325, 267, 910, 4649, 269, 6344, 271, 3066, 7597, 267, 476, 4510, 269, 280, 5038, 278, 7830, 2767, 267, 476, 14530, 269, 4281, 275, 18597, 10619, 267, 476, 271, 269, 1822, 26783, 11011, 267, 476, 271, 269, 1822, 4962, 272, 4962, 267, 26444, 1038, 476, 271, 269, 1822, 31874, 7761, 267, 476, 25908, 269, 3393, 280, 28526, 1839, 267, 910, 271, 269, 27088, 29300, 5038, 267, 910, 271, 269, 22650, 5400, 277, 5038, 316, 6540, 825, 4541, 5332, 1868, 815, 18358, 1067, 322, 1722, 3299, 1412, 1597, 639, 3299, 1412, 24160, 3299, 1412, 332, 1513, 3299, 1412, 329, 17132, 3299, 1412, 338, 520, 1248, 3299, 1412, 584, 29104, 3299, 1412, 928, 31337, 23300, 825, 4541, 12173, 815, 7183, 454, 825, 4541, 16182, 343, 815, 7183, 454, 825, 952, 630, 338, 903, 269, 11437, 318, 16769, 13843, 630, 274, 267, 271, 264, 543, 568, 27349, 263, 17839, 564, 267, 630, 842, 30727, 610, 630, 529, 27349, 263, 17839, 564, 267, 630, 842, 4297, 2187, 1038, 2638, 318, 19587, 263, 17839, 564, 285, 284, 271, 267, 834, 763, 4541, 4994, 1590, 581, 2318, 23528, 1038, 2638, 318, 19587, 263, 17839, 564, 283, 279, 267, 834, 763, 4541, 4994, 1590, 581, 1447, 982, 476, 279, 269, 898, 568, 476, 271, 268, 8161, 539, 23528, 1038, 4541, 12173, 815, 4541, 5332, 1868, 314, 17839, 564, 2639, 1038, 4541, 16182, 343, 815, 4541, 454, 825, 3116, 912, 1038, 2638, 318, 19587, 263, 529, 27349, 263, 17839, 564, 267, 630, 1598, 24270, 834, 763, 4541, 1590, 581, 606, 8870, 610, 5569, 23528, 1038, 568, 18425, 8217, 815, 8771, 454, 1038, 4541, 318, 12294, 815, 4541, 31573, 4590, 1038, 585, 1775, 267, 533, 538, 26246, 263, 17839, 564, 5332, 1868, 2187, 2018, 952, 533, 31573, 3890, 2652, 4541, 318, 12294, 912, 3546, 4541, 16182, 343, 815, 1775, 454, 3546, 568, 18425, 8217, 815, 6936, 454, 3546, 2736, 454, 1038, 2638, 318, 19587, 263, 529, 18425, 8217, 2525, 12148, 267, 834, 763, 4541, 268, 11415, 1590, 581, 519, 2012, 540, 513, 4541, 32405, 825, 2638, 318, 19587, 263, 17839, 564, 16182, 343, 11203, 7183, 267, 5727, 296, 6415, 711, 2386, 875, 596, 3893, 713, 17079, 269, 901, 12582, 1405, 4755, 563, 825, 898, 666, 1405, 2731, 4755, 269, 1403, 596, 2811, 2542, 713, 621, 4440, 1705, 4755, 267, 865, 1946, 1810, 1405, 596, 798, 454, 672, 803, 513, 3870, 543, 4757, 803, 693, 642, 1731, 30004, 342, 848, 287, 326, 21166, 2593, 543, 2995, 803, 799, 3403, 1673, 1092, 596, 1031, 2676, 672, 799, 4528, 540, 9226, 596, 2811, 4881, 543, 6148, 1256, 5665, 1062, 286, 594, 9153, 547, 1331, 454, 672, 596, 538, 1250, 4633, 950, 594, 3398, 1250, 9142, 13815, 27969, 2020, 825, 952, 19523, 269, 11437, 318, 16769, 13843, 630, 274, 267, 271, 2187, 1038, 2638, 318, 19587, 263, 529, 27349, 6025, 267, 630, 15615, 267, 703, 24270, 834, 763, 4756, 512, 2115, 547, 581, 513, 1297, 23528, 825, 3116, 912, 1038, 2638, 318, 19587, 263, 529, 27349, 6025, 267, 630, 15615, 267, 703, 267, 1279, 24270, 834, 763, 4756, 512, 2115, 547, 581, 513, 1297, 1701, 2020, 825, 952, 796, 1460, 22710, 912, 1038, 544, 329, 323, 815, 1205, 19878, 1014, 5804, 4462, 1460, 6025, 265, 1911, 271, 269, 271, 994, 1038, 570, 815, 630, 332, 329, 323, 268, 25090, 15150, 275, 269, 276, 8358, 18458, 1839, 269, 271, 454, 825, 3116, 912, 1038, 570, 815, 630, 339, 268, 1220, 271, 269, 271, 8358, 1911, 269, 271, 454, 825, 29693, 318, 1706, 815, 6724, 314, 17839, 564, 16182, 343, 2639, 825, 5996, 815, 14039, 270, 5197, 269, 271, 454, 825, 513, 815, 29693, 318, 1706, 314, 271, 27994, 307, 265, 680, 320, 318, 1706, 314, 277, 2639, 825, 552, 815, 29693, 318, 1706, 314, 272, 27994, 307, 265, 680, 320, 318, 1706, 314, 278, 2639, 825, 594, 815, 630, 680, 320, 318, 1706, 314, 273, 27994, 307, 265, 680, 320, 318, 1706, 314, 279, 8079, 265, 935, 341, 454, 825, 700, 815, 630, 680, 320, 318, 1706, 314, 274, 27994, 307, 265, 680, 320, 318, 1706, 314, 280, 8079, 265, 935, 341, 454, 825, 530, 318, 1467, 815, 630, 680, 320, 318, 1706, 314, 275, 27994, 307, 265, 680, 320, 318, 1706, 314, 1015, 8079, 265, 935, 341, 454, 825, 9631, 815, 630, 680, 320, 318, 1706, 314, 276, 27994, 307, 265, 680, 320, 318, 1706, 314, 1556, 8079, 265, 935, 341, 692, 825, 530, 815, 530, 318, 1467, 910, 9631, 454, 825, 631, 815, 700, 910, 530, 318, 1467, 1948, 307, 7495, 302, 281, 5410, 519, 28303, 585, 795, 17132, 547, 726, 19513, 1934, 563, 825, 631, 815, 535, 7116, 29687, 1341, 14039, 267, 476, 273, 265, 7032, 264, 910, 14039, 692, 825, 952 ]

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

[ 281, 6156, 11456, 5073, 3546, 2132, 6936, 454, 1038, 952, 9184, 2544, 10098, 314, 271, 6012, 273, 316, 2652, 9184, 2544, 10098, 314, 272, 6012, 272, 316, 2652, 9184, 2544, 10098, 314, 273, 6012, 271, 316, 8206, 8782, 567, 1412, 10778, 2018, 530, 284, 9184, 2544, 10098, 1496, 271, 6012, 273, 2639, 2018, 952, 530, 2525, 338, 912, 3546, 1820, 3488, 309, 10642, 528, 281, 4939, 338, 262, 4939, 333, 727, 994, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 1820, 3488, 309, 10642, 528, 281, 6156, 11456, 5073, 3546, 2132, 6936, 454, 825, 3116, 912, 1038, 733, 284, 271, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 6352, 6025, 629, 2544, 10098, 15892, 2018, 585, 795, 538, 2039, 263, 271, 267, 6352, 6025, 629, 2544, 10098, 15892, 3546, 952, 9184, 2544, 10098, 5157, 6012, 329, 316, 256, 8782, 567, 1412, 912, 7386, 733, 6834, 476, 272, 454, 1038, 952, 733, 2525, 280, 912, 2018, 1820, 18011, 5719, 340, 20653, 3873, 5073, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 692, 3698, 795, 4084, 22261, 3512, 324, 10031, 825, 1820, 3488, 309, 665, 17845, 844, 518, 28185, 541, 632, 18051, 334, 286, 630, 13678, 522, 340, 562, 14244, 264, 5073, 825, 2132, 3403, 14061, 12294, 14061, 11034, 1873, 603, 3488, 344, 5073, 476, 1948, 30469, 9618, 522, 2144, 549, 454, 22322, 18411, 1219, 3313, 309, 1112, 800, 29033, 2187, 825, 9343, 815, 18358, 9008, 12887, 13232, 12887, 869, 23300, 825, 897, 338, 815, 18358, 299, 12887, 300, 12887, 305, 23300, 825, 1948, 694, 579, 2742, 13274, 3873, 512, 1853, 547, 323, 553, 607, 897, 684, 553, 28075, 7699, 529, 20527, 642, 3218, 807, 454, 825, 585, 678, 538, 9343, 10778, 1038, 897, 272, 815, 1193, 16868, 11924, 262, 268, 299, 7055, 1038, 897, 273, 815, 1193, 16868, 11924, 262, 268, 300, 7055, 1038, 897, 274, 815, 1193, 16868, 11924, 262, 268, 305, 7055, 1038, 952, 4604, 314, 3712, 272, 316, 2652, 4604, 314, 3712, 273, 316, 2652, 4604, 314, 3712, 274, 316, 543, 536, 944, 29033, 314, 3712, 272, 8079, 10778, 2018, 2132, 4604, 314, 3712, 274, 2639, 825, 1948, 694, 579, 2742, 897, 10044, 512, 1853, 547, 323, 553, 607, 13274, 13757, 28075, 7699, 529, 20527, 642, 3218, 807, 454, 825, 585, 524, 538, 897, 338, 10778, 1038, 4737, 272, 815, 1412, 9008, 268, 262, 266, 1598, 6262, 994, 1038, 4737, 273, 815, 1412, 13232, 268, 262, 266, 1598, 6262, 994, 1038, 4737, 274, 815, 1412, 869, 268, 262, 266, 1598, 6262, 994, 1038, 952, 4604, 314, 992, 272, 316, 2652, 4604, 314, 992, 273, 316, 2652, 4604, 314, 992, 274, 316, 543, 536, 944, 29033, 314, 992, 272, 8079, 10778, 2018, 2132, 4604, 314, 992, 274, 2639, 825, 1948, 694, 554, 23662, 579, 2742, 15497, 635, 547, 323, 553, 28075, 7699, 529, 1303, 14244, 20527, 642, 3218, 807, 454, 825, 1647, 815, 1412, 13232, 5336, 262, 3248, 825, 13276, 272, 267, 13276, 273, 815, 1193, 263, 4900, 314, 271, 316, 22065, 268, 262, 266, 3712, 338, 314, 273, 25818, 1193, 263, 4900, 314, 273, 316, 22065, 268, 262, 266, 3712, 338, 314, 271, 7481, 825, 952, 4604, 314, 332, 1497, 316, 2652, 4604, 314, 1088, 272, 316, 2652, 4604, 314, 1088, 273, 316, 10778, 11434, 2132, 4604, 314, 332, 1497, 2639, 825, 13276, 272, 267, 13276, 273, 815, 1193, 263, 4900, 314, 271, 316, 22065, 268, 262, 266, 3712, 338, 314, 271, 25818, 1193, 263, 4900, 314, 273, 316, 22065, 268, 262, 266, 3712, 338, 314, 273, 7481, 825, 952, 4604, 314, 332, 1497, 316, 2652, 4604, 314, 1088, 272, 316, 2652, 4604, 314, 1088, 273, 316, 10778, 11434, 2132, 4604, 314, 332, 1497, 2639, 825, 2132, 8771, 692, 3698, 3313, 13510, 9005, 300, 7174, 29033, 264, 10778, 825, 9343, 815, 18358, 9008, 12887, 13232, 12887, 869, 23300, 825, 897, 338, 815, 18358, 299, 12887, 300, 12887, 305, 23300, 825, 814, 300, 7174, 815, 8771, 454, 825, 1948, 2357, 881, 320, 694, 1064, 545, 14244, 1965, 3712, 327, 5866, 20527, 642, 5451, 331, 5866, 454, 825, 585, 678, 538, 9343, 10778, 1038, 585, 524, 538, 897, 338, 10778, 2018, 1883, 815, 1193, 16868, 264, 1341, 25023, 1341, 1193, 6262, 994, 2018, 952, 711, 536, 944, 29033, 314, 4486, 8079, 10778, 3546, 2132, 6936, 454, 825, 2132, 814, 300, 7174, 692, 3698, 2357, 881, 320, 9852, 29679, 15856, 659, 7776, 2187, 825, 9206, 25716, 454, 825, 952, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 271, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 273, 6012, 271, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 311, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 271, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 273, 6012, 271, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 271, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 272, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 272, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 273, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 271, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 273, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 1412, 297, 690, 11456, 476, 272, 575, 534, 17924, 7055, 1038, 2198, 659, 7776, 18989, 454, 825, 8640, 630, 332, 314, 271, 6012, 273, 316, 2525, 332, 314, 272, 6012, 272, 316, 2525, 332, 314, 273, 6012, 271, 316, 2525, 262, 271, 262, 2187, 1038, 1820, 18011, 297, 690, 11456, 476, 272, 575, 534, 17924, 5073, 1038, 2198, 659, 7776, 18989, 454, 825, 3116, 912, 1038, 585, 1775, 538, 1319, 10961, 912, 2018, 585, 795, 538, 1775, 912, 3546, 952, 795, 2525, 262, 567, 1412, 912, 7386, 9206, 18989, 454, 7386, 952, 9206, 2525, 16178, 912, 13376, 1820, 18011, 5719, 340, 20653, 3873, 5073, 13376, 2198, 659, 7776, 18989, 454, 825, 2132, 2198, 659, 7776, 454, 18257, 8931, 672, 19638, 19638, 19638, 19638, 7531, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 6498, 454, 333, 284, 6358, 3488, 21745, 924, 522, 27089, 6446, 21350, 576, 964, 324, 10937, 28860, 281, 5073, 335, 284, 6358, 3488, 11133, 3266, 632, 620, 3258, 1143, 657, 5073, 320, 284, 333, 2260, 9230, 1015, 1262, 263, 335, 268, 272, 21875, 321, 14352, 333, 260, 9230, 1015, 1262, 263, 335, 268, 272, 4297, 4297, 2260, 9230, 1015, 1262, 263, 335, 268, 273, 21875, 322, 14352, 333, 260, 9230, 1015, 1262, 263, 335, 268, 272, 4297, 4297, 260, 1015, 454, 323, 284, 524, 265, 9230, 1015, 1262, 263, 335, 268, 272, 4297, 11924, 321, 265, 9230, 1015, 1262, 263, 335, 268, 273, 4297, 11924, 320, 265, 9230, 1015, 1262, 263, 335, 268, 274, 21875, 2745, 546, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 335, 25507, 9272, 3488, 21745, 924, 533, 281, 29125, 336, 25507, 9272, 3488, 21745, 924, 7117, 281, 29125, 4186, 11456, 284, 271, 454, 328, 284, 273, 454, 6112, 1775, 283, 335, 610, 1775, 283, 336, 912, 825, 952, 533, 260, 328, 2525, 271, 610, 7117, 260, 328, 2525, 271, 912, 1038, 733, 11456, 284, 4186, 11456, 266, 272, 454, 825, 1775, 284, 328, 266, 272, 454, 604, 733, 11456, 2525, 271, 912, 825, 1820, 3488, 306, 5073, 12828, 912, 825, 1820, 3488, 301, 5073, 672, 692, 672, 7531, 0, 272, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 26376, 4488, 292, 589, 12702, 296, 9474, 9590, 311, 302, 454, 5814, 4351, 454, 6112, 6936, 912, 333, 815, 703, 9272, 3488, 21745, 924, 513, 3067, 573, 1228, 632, 620, 684, 657, 281, 1412, 4917, 825, 952, 562, 285, 271, 912, 1038, 2736, 454, 2254, 553, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 19885, 267, 272, 2187, 825, 711, 553, 6910, 263, 12690, 27110, 263, 271, 267, 1015, 4917, 332, 4215, 284, 271, 454, 1721, 1775, 538, 2039, 263, 271, 19885, 267, 272, 2187, 825, 2923, 6834, 711, 553, 5157, 316, 270, 333, 454, 2745, 263, 2254, 553, 994, 2745, 9852, 4215, 264, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 6498, 692, 320, 284, 6358, 2891, 14707, 924, 522, 562, 14243, 1067, 334, 14255, 3490, 8918, 281, 5602, 321, 30381, 454, 322, 30381, 454, 323, 30381, 454, 324, 284, 271, 454, 4186, 284, 272, 454, 6112, 630, 321, 2260, 1015, 256, 284, 271, 2187, 825, 952, 536, 270, 1015, 256, 284, 271, 912, 1038, 733, 284, 4186, 266, 272, 454, 825, 536, 284, 321, 2260, 1015, 3097, 2745, 263, 4186, 2020, 8931, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 290, 815, 10581, 9272, 2891, 14707, 924, 513, 2191, 520, 3120, 900, 11019, 290, 281, 27363, 293, 815, 16733, 280, 265, 290, 11924, 8182, 8358, 276, 454, 2745, 2891, 302, 27089, 900, 11019, 293, 20527, 281, 4939, 269, 273, 325, 257, 260, 293, 994, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 6498, 692, 3698, 524, 29266, 324, 630 ]

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

[ 7555, 2786, 585, 606, 6905, 942, 563, 8794, 513, 19257, 2928, 454, 2026, 16835, 616, 27248, 7068, 267, 789, 13842, 1769, 269, 1411, 666, 4894, 873, 689, 707, 10450, 676, 1210, 713, 4617, 1448, 563, 295, 836, 513, 11604, 593, 519, 18109, 2282, 519, 13675, 540, 16835, 887, 24031, 269, 1306, 519, 11604, 9356, 519, 1769, 693, 3781, 267, 621, 786, 581, 513, 1390, 16698, 585, 16835, 269, 1358, 786, 4734, 741, 20097, 4166, 1310, 596, 946, 713, 2241, 4480, 563, 12024, 26615, 27750, 543, 2067, 11041, 267, 24036, 568, 1776, 4617, 1448, 540, 16835, 269, 1924, 267, 596, 666, 20057, 548, 24036, 8869, 538, 519, 10627, 23588, 4609, 547, 1205, 7759, 540, 873, 563, 295, 790, 513, 12333, 454, 295, 3931, 513, 3318, 786, 581, 513, 1390, 4781, 952, 596, 666, 1405, 8399, 609, 519, 1657, 2409, 269, 6270, 513, 3028, 786, 711, 1152, 948, 596, 4894, 519, 16835, 689, 707, 1753, 267, 855, 891, 5578, 995, 7606, 786, 2673, 782, 519, 10627, 23588, 9634, 538, 707, 1753, 563, 289, 1846, 543, 5017, 723, 9838, 2934, 267, 855, 621, 2760, 1797, 789, 21078, 538, 519, 1482, 9566, 2010, 269, 634, 5449, 29084, 538, 9678, 267, 4158, 267, 543, 6456, 4025, 1141, 789, 1745, 5150, 563, 289, 520, 23588, 568, 711, 513, 1434, 1129, 267, 543, 621, 949, 3142, 930, 5739, 3676, 547, 707, 1753, 269, 1924, 267, 621, 781, 1434, 547, 1451, 968, 6343, 513, 10627, 9566, 5654, 899, 892, 547, 1118, 707, 10450, 10627, 6954, 269, 0, 306, 539, 2939, 8904, 8928, 8858, 513, 1804, 2039, 540, 2095, 19326, 267, 1818, 741, 2095, 6384, 2182, 547, 3589, 543, 519, 4611, 12074, 513, 4161, 547, 4612, 269, 3213, 1127, 633, 11159, 8904, 8928, 5627, 10036, 616, 3226, 1950, 267, 607, 741, 7180, 568, 6417, 676, 519, 3666, 540, 24360, 543, 23887, 4229, 269, 589, 1101, 1305, 540, 8047, 9376, 7721, 4219, 6901, 11567, 519, 1198, 540, 4946, 476, 1839, 260, 1360, 5386, 5070, 676, 4320, 547, 1164, 29213, 23887, 11159, 8904, 8928, 609, 9244, 26793, 31285, 269, 901, 3361, 891, 6404, 10036, 1700, 338, 663, 8928, 547, 1831, 811, 23887, 267, 723, 10156, 2196, 719, 9883, 267, 543, 723, 2539, 2212, 29702, 982, 519, 3312, 6986, 12641, 599, 8928, 267, 5103, 519, 2333, 538, 5860, 3017, 543, 519, 1875, 18396, 1127, 633, 3601, 540, 519, 5070, 269, 962, 1752, 2566, 7403, 9672, 602, 4946, 519, 1875, 18396, 1127, 633, 1360, 5386, 5070, 4679, 519, 23887, 4222, 540, 10053, 10036, 7080, 5014, 269, 901, 2362, 23887, 4222, 856, 4818, 26347, 519, 8476, 5860, 3017, 543, 6971, 519, 2095, 10688, 269, 589, 2034, 1305, 540, 6901, 2066, 513, 3677, 2039, 540, 10036, 9830, 4951, 602, 267, 585, 1970, 29213, 23887, 11159, 8904, 8928, 13856, 676, 24360, 11544, 267, 519, 1840, 540, 476, 1839, 260, 1360, 5386, 5070, 2799, 519, 2212, 29702, 1317, 540, 519, 8476, 5860, 3017, 543, 4617, 23887, 4229, 269, 4935, 267, 519, 1840, 540, 1360, 5386, 5070, 949, 2333, 610, 6175, 519, 10688, 540, 23887, 11159, 8904, 8928, 267, 4470, 593, 519, 3355, 1826, 540, 2095, 543, 519, 3666, 1063, 24360, 543, 23887, 4229, 269, 769, 519, 2067, 1604, 267, 713, 1353, 23083, 602, 1360, 5386, 5070, 666, 1152, 2333, 519, 23887, 4222, 543, 2569, 519, 2095, 10688, 540, 23887, 11159, 8904, 8928, 602, 723, 513, 18481, 2178, 5119, 4222, 547, 4628, 1489, 519, 5070, 5536, 269, 634, 9295, 540, 1360, 5386, 5070, 547, 519, 23887, 4222, 540, 1164, 29213, 23887, 11159, 8904, 8928, 949, 723, 1271, 6286, 585, 2095, 7004, 593, 26747, 11655, 267, 2523, 538, 30218, 4525, 1141, 23644, 1700, 339, 7875, 12040, 267, 23887, 8928, 616, 3226, 1455, 563, 289, 6033, 267, 631, 269, 700, 1421, 1299, 13391, 553, 267, 808, 269, 670, 269, 630, 514, 2046, 1040, 6496, 5070, 3895, 610, 17225, 519, 10688, 540, 23887, 11159, 8904, 8928, 27085, 20767, 2939, 1108, 267, 4179, 2517, 8742, 3820, 270, 1015, 269, 9340, 272, 4882, 539, 269, 9873, 7761, 0, 23219, 1874, 4400, 3427, 9089, 723, 1831, 513, 7986, 9135, 1369, 1762, 2937, 5708, 267, 9159, 3988, 609, 741, 13858, 6386, 1305, 538, 519, 2189, 543, 7920, 1604, 540, 1164, 1153, 269, 769, 713, 2376, 267, 649, 786, 5490, 883, 519, 8129, 267, 4798, 267, 3197, 267, 1603, 2553, 267, 543, 2686, 1764, 540, 2782, 1874, 4400, 3427, 9089, 267, 3246, 513, 3102, 1620, 540, 713, 9159, 5339, 9135, 563, 8368, 540, 12937, 454, 1432, 568, 513, 2782, 1874, 4400, 3427, 23397, 281, 4197, 519, 2637, 516, 543, 21771, 454, 23219, 1874, 4400, 3427, 9089, 31721, 1472, 519, 2729, 540, 14038, 11504, 513, 1164, 1153, 1141, 2168, 23258, 267, 19831, 6575, 267, 543, 2123, 2208, 1404, 3844, 5107, 269, 1452, 9089, 1419, 6451, 2609, 540, 2962, 267, 7045, 267, 15832, 267, 11505, 267, 543, 4947, 6361, 21943, 4798, 269, 1358, 2709, 3988, 513, 13858, 543, 11541, 19214, 883, 519, 2591, 543, 29217, 540, 1762, 21847, 10188, 519, 10848, 540, 1312, 1153, 1272, 543, 741, 1378, 2123, 15322, 563, 2691, 543, 7316, 9894, 2782, 1874, 4400, 3427, 26358, 7880, 3729, 281, 589, 8466, 21887, 454, 763, 5072, 540, 2782, 1874, 4400, 3427, 9089, 666, 581, 14360, 1394, 547, 519, 3735, 476, 736, 628, 2540, 267, 609, 8037, 1568, 899, 968, 763, 10127, 622, 17718, 892, 630, 2735, 275, 264, 543, 968, 305, 534, 2742, 476, 16006, 892, 630, 2735, 278, 1040, 1717, 267, 519, 9135, 5963, 6591, 23146, 538, 519, 476, 2641, 560, 2540, 609, 519, 11944, 540, 2442, 3126, 971, 607, 968, 295, 14019, 25260, 892, 630, 1960, 278, 264, 543, 968, 8110, 1097, 12722, 892, 630, 1220, 276, 1040, 1452, 9089, 7604, 1078, 1762, 23233, 538, 1153, 5468, 267, 6220, 2609, 540, 9589, 543, 29631, 9035, 563, 18698, 519, 16992, 538, 2782, 1874, 4400, 3427, 26358, 281, 5019, 6782, 1235, 267, 4165, 6782, 1235, 267, 543, 25417, 32018, 454, 23219, 1874, 4400, 3427, 9089, 4183, 513, 3309, 5641, 540, 3197, 267, 1142, 609, 741, 1378, 2189, 9342, 267, 12755, 267, 543, 18144, 269, 634, 23233, 616, 1419, 11541, 14038, 945, 7832, 593, 2123, 15322, 540, 1582, 22523, 267, 1565, 1271, 1272, 4245, 2059, 519, 1259, 269, 4165, 6782, 1235, 949, 1331, 15180, 1053, 267, 3610, 267, 610, 5007, 6937, 602, 4161, 519, 1292, 3197, 685, 2208, 269, 25417, 5107, 3565, 547, 519, 3178, 540, 519, 1650, 267, 3246, 11505, 267, 30023, 267, 610, 11509, 4690, 563, 7659, 15689, 543, 570, 1886, 525, 538, 2782, 1874, 4400, 3427, 26358, 281, 11146, 267, 14886, 1222, 267, 543, 681, 2526, 1845, 454, 27094, 267, 11505, 267, 543, 15180, 1845, 616, 7533, 3334, 540, 2782, 1874, 4400, 3427, 9089, 269, 21434, 1016, 30831, 2263, 519, 10848, 540, 18295, 3347, 267, 4946, 3929, 3178, 547, 519, 2239, 269, 634, 7554, 540, 11505, 616, 1419, 7318, 543, 18674, 998, 3838, 2833, 267, 16542, 267, 543, 14017, 269, 681, 2526, 1845, 4492, 519, 8013, 6891, 540, 519, 3197, 267, 6117, 519, 4729, 4464, 543, 3056, 547, 6172, 12519, 13720, 725, 563, 5522, 582, 20905, 543, 21931, 23113, 538, 2782, 1874, 4400, 3427, 26358, 281, 3828, 1235, 267, 570, 5281, 267, 543, 12246, 335, 1619, 454, 23219, 1874, 4400, 3427, 9089, 2308, 1585, 4729, 3457, 543, 2239, 3889, 547, 25407, 3988, 269, 634, 10014, 540, 6397, 4729, 23538, 267, 29384, 327, 13377, 267, 543, 13655, 8952, 3988, 7722, 543, 11235, 547, 10625, 1018, 4523, 1985, 269, 13038, 1650, 9095, 338, 267, 1915, 2208, 9095, 338, 267, 543, 1016, 30831, 18595, 710, 547, 1711, 513, 30305, 543, 15138, 2542, 1995, 563, 12892, 543, 8836, 19410, 776, 538, 2782, 1874, 4400, 3427, 26358, 281, 24167, 7464, 28131, 12983, 454, 23219, 1874, 4400, 3427, 9089, 1419, 6451, 1514, 543, 2686, 16555, 267, 5466, 4143, 1483, 8996, 2152, 971, 607, 3961, 267, 4763, 267, 7130, 267, 543, 6848, 6788, 269, 3414, 741, 14070, 10600, 267, 891, 9089, 1683, 3988, 609, 3255, 547, 2992, 593, 543, 1865, 891, 3584, 267, 5807, 6568, 543, 1620, 563, 16240, 26505, 543, 9828, 538, 2782, 1874, 4400, 3427, 26358, 281, 12056, 519, 22419, 454, 288, 18308, 540, 2782, 1874, 4400, 3427, 9089, 2308, 2502, 1603, 6163, 543, 2553, 547, 25407, 741, 5304, 269, 29149, 18340, 6770, 519, 1153, 1604, 547, 1272, 267, 3850, 3988, 547, 14650, 519, 5468, 543, 23365, 2933, 538, 519, 1650, 269, 15511, 12454, 6386, 3986, 1915, 1646, 543, 13686, 519, 3982, 9739, 540, 519, 23233, 543, 5885, 3197, 563, 28082, 2782, 1874, 4400, 3427, 23397, 10022, 281, 18771, 268, 5649, 32505, 454, 15703, 2442, 2782, 1874, 4400, 3427, 3209, 3126, 723, 2451, 513, 9434, 1764, 593, 3988, 269, 2368, 8037, 1806, 1331, 968, 763, 12017, 518, 10632, 892, 676, 30554, 22828, 19811, 267, 968, 291, 1853, 7217, 892, 676, 7638, 517, 3821, 681, 1054, 267, 543, 968, 309, 2086, 790, 9142, 892, 676, 26548, 3559, 548, 28927, 269, 1452, 3126, 13686, 519, 4763, 543, 3178, 540, 9423, 1369, 519, 9135, 267, 5356, 3988, 13858, 9035, 543, 8903, 1915, 9095, 338, 563, 25842, 543, 21478, 540, 2782, 1874, 4400, 3427, 26358, 593, 7377, 9177, 281, 20176, 625, 267, 7641, 11154, 725, 267, 543, 27684, 18877, 454, 6624, 2782, 1874, 4400, 3427, 9089, 723, 1044, 9862, 883, 3811, 9413, 543, 8613, 3126, 267, 9750, 741, 3914, 543, 8560, 269, 8606, 916, 899, 968, 763, 631, 10270, 14840, 1676, 892, 543, 968, 23562, 559, 697, 892, 4547, 519, 10600, 540, 891, 9089, 547, 519, 2462, 5496, 267, 9159, 1312, 4540, 11655, 543, 1007, 9458, 269, 5015, 267, 7524, 2228, 10178, 2950, 723, 4646, 1472, 891, 9089, 267, 5807, 5717, 267, 10178, 1148, 267, 543, 10178, 5708, 267, 2417, 7393, 741, 2686, 1764, 563, 290, 761, 2294, 543, 13891, 919, 281, 22718, 519, 2552, 7337, 625, 28259, 532, 2782, 1874, 4400, 3427, 26358, 454, 23219, 1874, 4400, 3427, 9089, 723, 711, 1044, 1510, 27900, 543, 9840, 269, 2368, 13915, 8044, 602, 519, 9135, 10419, 340, 919, 32601, 6788, 543, 11475, 267, 1247, 1866, 17192, 922, 2702, 547, 7668, 1762, 3988, 543, 2232, 4143, 1514, 2152, 269, 22718, 891, 5380, 2636, 585, 513, 1134, 25454, 1620, 540, 519, 9135, 779, 9342, 543, 1761, 2127, 585, 6454, 563, 23219, 1874, 4400, 3427, 9089, 2709, 3988, 606, 3078, 543, 15138, 3460, 883, 519, 2729, 540, 1762, 21847, 10188, 519, 2591, 540, 1164, 1153, 269, 1635, 3695, 519, 9135, 779, 8129, 267, 4798, 267, 3197, 267, 1603, 2553, 267, 543, 2686, 1764, 267, 649, 2744, 513, 4514, 7071, 585, 519, 9159, 1158, 540, 2782, 1874, 4400, 3427, 9089, 543, 519, 1764, 789, 723, 1185, 593, 1762, 3988, 5001, 563, 11902, 17988, 630, 21761, 18542, 5999, 264, 827, 2782, 1874, 4400, 3427, 26358, 912, 6701, 2782, 1874, 4400, 3427, 9089, 1152, 5078, 585, 1762, 2937, 3988, 888, 268, 3143, 267, 1247, 519, 9135, 5097, 9072, 1762, 2937, 3988, 267, 1082, 4079, 849, 2972, 519, 13858, 6386, 543, 11541, 4798, 1336, 538, 2782, 1874, 4400, 3427, 9089, 563, 1432, 2306, 2782, 1874, 4400, 3427, 9089, 2189, 3379, 547, 824, 1762, 2937, 11964, 888, 268, 2782, 1874, 4400, 3427, 9089, 1796, 856, 585, 741, 1445, 593, 2168, 23258, 267, 19831, 6575, 267, 543, 2123, 2208, 1369, 519, 7920, 1604, 540, 1164, 1153, 267, 5356, 3988, 513, 3982, 11100, 540, 2962, 267, 7045, 267, 543, 4947, 6361, 21943, 4798, 563, 6701, 2782, 1874, 4400, 3427, 9089, 5078, 585, 3988, 945, 616, 711, 5461, 538, 19831, 6575, 610, 2962, 888, 268, 8786, 267, 1247, 19831, 6575, 543, 2962, 616, 1419, 7533, 547, 519, 4729, 267, 2782, 1874, 4400, 3427, 9089, 849, 2263, 4798, 540, 11505, 267, 15832, 267, 1582, 22523, 267, 543, 6848, 2152, 267, 1818, 873, 13267, 547, 513, 6626, 5304, 563, 4692, 596, 4363, 2782, 1874, 4400, 3427, 9089, 609, 2178, 4775, 23233, 888, 268, 25999, 256, 2368, 5140, 2782, 1874, 4400, 3427, 9089, 609, 2178, 4775, 5012, 1331, 968, 763, 12017, 518, 10632, 892, 676, 30554, 22828, 19811, 267, 968, 1320, 337, 821, 540, 19371, 892, 676, 8861, 808, 269, 8575, 553, 267, 543, 968, 294, 15869, 1782, 892, 676, 26701, 514, 22418, 648, 563, 6701, 972, 1022, 2782, 1874, 4400, 3427, 9089, 602, 2232, 1271, 1514, 2152, 888, 268, 8786, 267, 1082, 2782, 1874, 4400, 3427, 9089, 5490, 883, 4143, 1514, 2152, 971, 607, 3961, 267, 7130, 267, 2790, 1072, 267, 543, 6848, 6788, 269, 6201, 1331, 968, 763, 670, 622, 772, 12315, 892, 676, 4911, 773, 7338, 543, 968, 8245, 517, 5288, 269, 519, 30941, 590, 777, 16772, 3397, 12629, 892, 676, 23894 ]

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

[ 1772, 519, 8262, 7465, 2598, 7349, 720, 540, 10281, 1886, 9582, 888, 3080, 540, 519, 7887, 11393, 540, 19558, 9582, 568, 922, 3355, 14764, 1942, 267, 799, 666, 581, 2362, 3379, 547, 2757, 3037, 2861, 8105, 2409, 269, 3958, 267, 19558, 4577, 1949, 2154, 2834, 5464, 543, 5826, 547, 2327, 6099, 2030, 2208, 267, 799, 949, 581, 811, 4074, 25673, 585, 930, 25210, 563, 5719, 321, 6064, 532, 519, 19088, 281, 10281, 1886, 9582, 27355, 1406, 2353, 772, 1186, 1938, 454, 3080, 540, 519, 7887, 11393, 540, 19558, 9582, 568, 602, 621, 3340, 513, 1713, 3355, 5092, 269, 10281, 1886, 4577, 1949, 267, 4352, 3608, 543, 5499, 267, 2097, 609, 1978, 19363, 602, 1590, 581, 2808, 1354, 6388, 563, 763, 1101, 2721, 3724, 547, 2015, 568, 519, 1942, 3238, 538, 4259, 909, 513, 19558, 4577, 1062, 269, 22702, 547, 2757, 3037, 2861, 8105, 2409, 267, 19558, 9582, 666, 581, 811, 7199, 1813, 547, 519, 991, 585, 7463, 3937, 267, 971, 607, 15450, 267, 8770, 3435, 267, 543, 8654, 1949, 269, 3958, 267, 519, 5826, 3790, 666, 849, 581, 2362, 607, 891, 1949, 2154, 2834, 5464, 543, 16369, 540, 9063, 2157, 543, 8770, 9830, 563, 5194, 19319, 540, 19558, 9582, 568, 519, 3908, 2039, 540, 7031, 602, 666, 581, 6738, 6707, 1210, 713, 1505, 269, 2755, 930, 2371, 8853, 538, 19558, 4577, 5054, 267, 1866, 949, 6560, 610, 3111, 15587, 269, 901, 20159, 14340, 689, 519, 1249, 602, 1978, 7031, 723, 1808, 8770, 4170, 610, 616, 811, 11630, 547, 3676, 4122, 1336, 538, 19558, 4577, 1949, 563, 13010, 267, 2230, 10148, 666, 10460, 513, 4161, 950, 7598, 513, 19558, 4577, 1062, 269, 9521, 6671, 8105, 2409, 1141, 7031, 616, 6738, 2047, 538, 3037, 593, 1804, 8778, 338, 540, 2244, 267, 19558, 9582, 3335, 3340, 7299, 10518, 532, 610, 6417, 5054, 971, 607, 3039, 17346, 269, 901, 1797, 602, 2043, 609, 3908, 2230, 949, 1265, 621, 2352, 547, 9772, 713, 1505, 563, 3725, 557, 4705, 281, 634, 8779, 7420, 540, 10281, 1886, 9582, 543, 1215, 547, 4643, 22353, 454, 3725, 557, 2718, 519, 1942, 4161, 540, 19558, 9582, 543, 875, 547, 1544, 9935, 666, 948, 7753, 7687, 538, 713, 1505, 540, 8105, 269, 10281, 1886, 9582, 267, 1247, 5356, 3875, 5383, 971, 607, 3608, 1216, 6165, 543, 1032, 15778, 14713, 267, 1281, 2097, 609, 922, 4023, 2671, 540, 11393, 563, 3080, 2101, 2721, 3724, 568, 519, 1164, 1942, 2404, 609, 4259, 909, 543, 4509, 513, 19558, 4577, 1062, 269, 634, 3355, 5092, 2838, 585, 5989, 267, 3937, 267, 543, 8770, 3435, 666, 581, 3833, 8101, 269, 3958, 267, 5571, 9276, 899, 5201, 585, 8654, 543, 2916, 1852, 267, 607, 1134, 607, 2834, 5826, 3790, 267, 2417, 3565, 547, 519, 2949, 13258, 269, 1452, 2883, 24675, 666, 10460, 513, 1713, 4161, 585, 6705, 6236, 12561, 19558, 9582, 563, 4913, 267, 6297, 4058, 543, 7580, 3375, 6194, 666, 11574, 891, 2591, 269, 18430, 532, 9488, 1382, 547, 3313, 519, 1034, 1942, 15807, 3937, 3681, 2139, 538, 519, 2344, 568, 14063, 269, 898, 568, 849, 1898, 547, 1020, 513, 2143, 6578, 602, 6589, 585, 782, 2062, 5408, 762, 9276, 2429, 519, 14764, 543, 5106, 11775, 563, 13010, 267, 17306, 4199, 13345, 676, 10893, 3653, 543, 21924, 4398, 568, 2629, 538, 4227, 3790, 269, 20074, 4359, 12957, 4066, 666, 948, 20928, 3157, 1247, 10893, 4074, 4170, 563, 9989, 8376, 11485, 744, 951, 17495, 578, 10281, 1886, 9582, 685, 25166, 1841, 286, 19750, 21126, 454, 8601, 519, 12587, 540, 19558, 9582, 267, 519, 1761, 1981, 540, 2068, 3112, 581, 15763, 269, 1879, 621, 2501, 547, 19558, 9582, 267, 835, 1590, 2015, 519, 7887, 19319, 281, 519, 2799, 1981, 540, 2068, 269, 2755, 19558, 9582, 3091, 3875, 5383, 971, 607, 2362, 11729, 543, 3608, 946, 540, 2200, 267, 621, 849, 6799, 2189, 2591, 538, 2474, 540, 2068, 2359, 563, 1103, 2757, 3037, 2861, 6683, 267, 3676, 616, 1419, 7339, 730, 676, 2067, 7496, 543, 6225, 14471, 1459, 538, 519, 3037, 269, 1717, 267, 538, 513, 19558, 4577, 1062, 1141, 2371, 616, 6738, 1510, 3037, 267, 891, 8825, 6127, 616, 15534, 269, 1306, 513, 1267, 267, 13596, 666, 3362, 3262, 2429, 519, 3003, 1062, 267, 4929, 7839, 3441, 547, 7031, 563, 2414, 2232, 713, 3390, 267, 4052, 5380, 593, 2068, 1981, 2359, 991, 547, 581, 3144, 883, 2272, 269, 2290, 1935, 568, 12561, 7453, 9882, 2853, 971, 607, 21149, 532, 2645, 543, 3937, 5781, 269, 3958, 267, 7598, 1697, 5464, 1949, 585, 2038, 7020, 540, 1022, 4191, 540, 2068, 666, 948, 2061, 922, 3262, 563, 13010, 267, 7446, 2068, 15033, 2030, 8677, 543, 4509, 6099, 3395, 2175, 666, 7413, 519, 1981, 1256, 2417, 269, 1635, 3246, 2371, 609, 6190, 6484, 543, 4180, 513, 1134, 28394, 2331, 1604, 267, 741, 2949, 1072, 543, 6043, 1996, 3676, 666, 581, 8476, 563, 1103, 3932, 267, 1247, 19558, 9582, 3091, 3875, 12587, 538, 2474, 540, 7607, 543, 4199, 4398, 267, 621, 568, 2629, 547, 5431, 543, 4383, 519, 1761, 1981, 540, 2068, 269, 1635, 12561, 4052, 5380, 899, 4509, 9882, 10873, 543, 7598, 2500, 5464, 1949, 267, 649, 666, 11574, 713, 19319, 543, 2327, 3811, 19558, 4577, 14713, 563, 9558, 819, 281, 3767, 602, 649, 723, 8268, 519, 4220, 2404, 609, 3676, 538, 19558, 9582, 1949, 1577, 779, 6521, 938, 1445, 547, 6595, 2994, 585, 1379, 856, 1137, 610, 3937, 14286, 602, 949, 8451, 538, 971, 1305, 5725, 563, 2691, 5303, 8648, 4934, 281, 17073, 11150, 585, 5295, 543, 16811, 12983, 454, 2691, 2029, 2053, 856, 267, 596, 991, 547, 723, 6595, 2994, 538, 1747, 585, 1379, 543, 3937, 2152, 269, 769, 19558, 4577, 8105, 267, 1141, 2371, 616, 6738, 1510, 3037, 543, 7048, 8185, 593, 2029, 267, 1022, 17522, 538, 1379, 610, 3937, 666, 581, 17672, 547, 519, 3003, 1062, 269, 16811, 5821, 543, 1379, 856, 1137, 616, 1455, 2591, 5185, 676, 19558, 4577, 6705, 267, 543, 2348, 513, 1544, 538, 1747, 568, 2629, 547, 7413, 9271, 563, 2080, 616, 1614, 1883, 2994, 547, 2015, 950, 7231, 609, 1379, 543, 3937, 2152, 538, 19558, 9582, 912, 268, 7982, 1575, 1379, 3761, 281, 30799, 538, 19307, 18402, 610, 6007, 1949, 666, 2327, 513, 6024, 1379, 2707, 1282, 856, 1137, 269, 901, 786, 948, 2226, 6099, 2175, 585, 2030, 2208, 543, 2061, 3441, 3361, 676, 6727, 21463, 563, 268, 8617, 5826, 281, 18430, 532, 6296, 24422, 543, 5826, 540, 782, 3937, 568, 1898, 547, 2697, 1761, 2152, 1354, 789, 15583, 622, 883, 2101, 2042, 269, 901, 2882, 10992, 5122, 4296, 267, 5464, 1216, 15450, 267, 543, 4180, 602, 8596, 616, 26215, 730, 7157, 563, 268, 14502, 1702, 281, 11109, 513, 4396, 1620, 540, 519, 2930, 3344, 540, 19558, 4577, 1949, 568, 4105, 585, 30076, 269, 25800, 3054, 609, 519, 8647, 540, 15450, 267, 4626, 619, 267, 8596, 267, 543, 824, 3334, 865, 602, 596, 666, 3533, 2697, 519, 2014, 540, 1022, 29840, 543, 1491, 3617, 2962, 563, 7021, 2492, 281, 10435, 10281, 1886, 9582, 966, 4192, 6736, 7025, 11576, 6638, 454, 3080, 1259, 547, 1118, 19558, 9582, 811, 14323, 5103, 2825, 8417, 568, 676, 7598, 4264, 8105, 2853, 563, 22134, 1886, 9582, 267, 1247, 513, 9621, 1505, 540, 14713, 267, 1281, 723, 922, 7687, 543, 7887, 11393, 269, 2290, 2101, 6161, 568, 519, 1764, 593, 519, 1604, 269, 12465, 19558, 4577, 1949, 1419, 7048, 8185, 593, 10991, 18168, 543, 3114, 11378, 267, 799, 666, 1291, 547, 1216, 5533, 543, 3037, 12159, 952, 711, 5265, 7307, 269, 3958, 267, 519, 1648, 4170, 585, 4509, 6099, 2175, 538, 513, 19558, 4577, 1062, 666, 581, 1713, 267, 7700, 547, 8511, 3154, 5434, 563, 2414, 7753, 891, 7687, 543, 1118, 19558, 9582, 811, 13476, 7874, 267, 4264, 8105, 2853, 1590, 581, 7550, 269, 901, 3322, 4227, 16126, 593, 10991, 11378, 998, 5214, 8770, 3435, 543, 6211, 11641, 1852, 2409, 269, 20074, 1216, 2359, 2994, 971, 607, 973, 597, 1529, 908, 8770, 3435, 543, 13830, 24467, 666, 948, 18359, 2200, 543, 7413, 5533, 563, 13010, 267, 6220, 7791, 1648, 2959, 899, 3859, 610, 2842, 1379, 666, 3648, 2569, 519, 3327, 11640, 540, 19558, 4577, 4238, 269, 1635, 9256, 891, 4264, 2853, 609, 4359, 4066, 899, 7299, 8105, 610, 6864, 777, 9582, 267, 649, 666, 1711, 513, 811, 3608, 543, 13476, 6213, 1935, 547, 19558, 9582, 563, 290, 1886, 19139, 8058, 17380, 11825, 286, 19484, 10281, 1886, 4577, 16844, 8571, 10587, 454, 1103, 1250, 3105, 4901, 267, 594, 8268, 875, 19558, 9582, 666, 7753, 922, 2825, 8417, 547, 1831, 513, 14323, 6694, 1505, 269, 3767, 267, 1577, 779, 5490, 883, 1776, 2565, 2460, 540, 19558, 9582, 281, 7693, 5542, 563, 4407, 19558, 4577, 1949, 2709, 3875, 5383, 971, 607, 3608, 4199, 13345, 543, 1032, 15778, 14713, 267, 972, 616, 19363, 602, 8451, 689, 519, 4763, 540, 7031, 6738, 538, 891, 1949, 563, 3080, 540, 519, 7887, 11393, 540, 19558, 9582, 568, 519, 3908, 2039, 540, 7031, 602, 666, 581, 6707, 16916, 269, 9521, 2757, 3037, 2861, 6683, 267, 1141, 513, 2647, 3099, 540, 2371, 666, 8853, 6923, 267, 19558, 4577, 1949, 2154, 22111, 3007, 547, 2030, 4170, 543, 8770, 3435, 3358, 547, 1808, 7031, 269, 901, 20159, 11710, 689, 1896, 2188, 912, 268, 18726, 7352, 1464, 281, 3962, 7693, 814, 2189, 4719, 4162, 543, 14624, 547, 1114, 3395, 2175, 563, 268, 715, 22021, 21976, 281, 10281, 1886, 4577, 1949, 1590, 1683, 5730, 8770, 15885, 585, 6099, 2208, 267, 799, 949, 711, 6474, 519, 2067, 8770, 8244, 585, 1978, 2371, 563, 268, 8376, 12246, 1061, 2225, 281, 2368, 2371, 723, 7960, 6127, 547, 8396, 3676, 4122, 1336, 538, 3037, 2861, 5054, 855, 949, 6560, 950, 6738, 538, 25062, 19558, 4577, 1949, 563, 32382, 891, 19363, 3340, 6297, 7156, 950, 8939, 7031, 585, 19558, 4577, 14713, 269, 12824, 616, 16111, 2324, 593, 3384, 2553, 543, 4066, 547, 22962, 519, 2039, 540, 14323, 7031, 267, 855, 4867, 267, 713, 3788, 835, 540, 519, 7887, 2591, 5185, 676, 19558, 9582, 563, 4407, 621, 568, 1271, 547, 11760, 891, 7687, 267, 621, 568, 8449, 2629, 547, 5431, 602, 7760, 538, 1382, 543, 2029, 3136, 547, 7903, 519, 6302, 540, 1018, 666, 581, 6913, 609, 19558, 9582, 269, 1635, 1620, 543, 8362, 5466, 891, 2152, 4478, 7693, 5542, 538, 19558, 9582, 267, 649, 666, 960, 2509, 21924, 922, 1761, 607, 606, 5499, 543, 4264, 1505, 540, 1426, 2504, 563, 300, 527, 580, 908, 10281, 1886, 9582, 685, 31456, 1261, 601, 281, 29362, 585, 15907, 7308, 4211, 6674, 16424, 454, 2414, 11574, 519, 31456, 24933, 540, 19558, 9582, 267, 596, 666, 2744, 3407, 4030, 676, 7598, 1472, 7308, 12641, 1442, 5464, 2553, 563, 22134, 1886, 9582, 267, 1247, 5356, 3875, 5383, 538, 2474, 540, 4199, 4398, 543, 7693, 6556, 267, 849, 8188, 922, 4023, 2671, 540, 7687, 269, 2290, 540, 519, 7887, 11393, 568, 519, 1761, 585, 1062, 14286, 1813, 547, 2825, 15088, 610, 8770, 20817, 269, 9453, 1697, 5464, 267, 891, 2152, 666, 979, 29462, 2394, 621, 779, 1932, 3735, 267, 4611, 538, 1713, 7693, 9271, 563, 25363, 13586, 1472, 7308, 12641, 1442, 5464, 2636, 25210, 547, 5702, 3950, 2629, 6724, 971, 607, 9063, 2157, 267, 8770, 9830, 267, 2837, 267, 543, 11195, 269, 1635, 11179, 10655, 1483, 6066, 1239, 998, 8596, 543, 12747, 1949, 267, 1761, 2042, 666, 581, 4857, 2038, 593, 543, 3617, 3527, 3144, 547, 2232, 873, 16425, 269, 901, 14942, 1935, 711, 1152, 24024, 519, 1981, 540, 7693, 5821, 855, 849, 5688, 3278, 2030, 2208, 543, 2949, 11729, 563, 12507, 13501, 2553, 538, 19558, 9582, 4125, 1210, 4359, 4066, 899, 14164, 3457, 543, 1239, 12642, 3301, 269, 1452, 2645, 1683, 25210, 609, 4977, 1344, 602, 2337, 873, 1118, 5483, 3664, 827, 14577, 8770, 2157, 267, 22212, 2825, 2175, 267, 610, 16326, 1022, 4191, 540, 2068, 610, 11641, 23588, 269, 3958, 267, 6552, 1569, 7207, 1450, 25210, 547, 6895, 741, 1949, 689, 9170, 693, 1022, 942, 563, 1103, 3932, 267, 19558, 9582, 814, 3875, 5383, 267, 855, 621, 849, 2501, 609, 7687, 602, 991, 5466, 269, 634, 1942, 4161, 540, 4259, 909, 543, 4509, 513, 19558, 4577, 1062, 3340, 6297, 4058, 543, 22343, 269, 8376, 1981, 568, 1776, 1858, 602, 2115, 3007, 267, 607, 519, 6417, 1604, 666, 1831, 513, 9960, 2666, 585, 13596, 269, 5295, 856, 1137, 543, 3937, 14286, 666, 10460, 1713, 2591, 952, 711, 5423, 585, 18113, 269, 3958, 267, 19558, 9582, 568, 6213, 547, 2825, 2188, 267, 799, 1590, 581, 2808, 563, 14454, 267, 676, 1620, 891, 7687, 543, 7598, 3617, 2994, 267, 649, 666, 1118, 19558 ]

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