Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 5018, 4505, 267, 12355, 5022, 666, 2408, 538, 2901, 9102, 630, 298, 339, 822, 918, 525, 643, 264, 610, 1688, 25740, 630, 298, 339, 822, 12891, 19441, 264, 1106, 269, 2755, 519, 2596, 5546, 2611, 519, 1482, 267, 972, 616, 11029, 3604, 1063, 891, 1079, 6163, 269, 3371, 616, 930, 1919, 547, 1832, 538, 2247, 950, 1565, 547, 1224, 543, 2328, 12355, 1384, 2162, 7179, 539, 4813, 630, 298, 339, 822, 918, 525, 643, 2020, 265, 2859, 16070, 543, 27101, 982, 1688, 25740, 1106, 563, 265, 13242, 5097, 538, 2413, 12326, 971, 607, 2835, 267, 14786, 267, 543, 7270, 563, 265, 31418, 1512, 547, 10646, 1367, 5022, 1813, 547, 5812, 3337, 543, 2450, 780, 2162, 7435, 25740, 4813, 630, 298, 339, 822, 12891, 19441, 2020, 265, 2859, 5714, 543, 17031, 982, 9102, 1106, 563, 265, 25214, 1031, 585, 3909, 5931, 267, 2123, 19359, 267, 543, 824, 13016, 8658, 563, 265, 2052, 4268, 7494, 4470, 593, 519, 5856, 781, 2511, 543, 5578, 1377, 780, 13981, 519, 16707, 454, 2411, 21387, 3086, 602, 649, 4312, 4988, 930, 4282, 1344, 267, 1577, 781, 1847, 593, 547, 1565, 519, 4890, 5022, 2933, 256, 12989, 568, 513, 3349, 17609, 782, 476, 2420, 5022, 540, 519, 12355, 9904, 267, 2059, 609, 741, 7222, 4408, 267, 12332, 267, 543, 9102, 543, 1688, 25740, 3029, 1384, 347, 14594, 1923, 8745, 1923, 25460, 10586, 1923, 7179, 539, 4813, 1923, 7435, 25740, 4813, 11406, 347, 19203, 347, 19203, 347, 19203, 347, 19203, 347, 19203, 2008, 347, 13913, 494, 1923, 22176, 874, 1923, 14980, 610, 1315, 390, 498, 270, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 270, 271, 270, 271, 324, 270, 3891, 11119, 318, 12072, 318, 288, 548, 874, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 318, 288, 548, 874, 4732, 341, 326, 26666, 22969, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 11305, 11305, 325, 270, 3891, 11119, 318, 12072, 318, 531, 32397, 318, 15479, 633, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 318, 531, 32397, 318, 15479, 633, 4732, 341, 326, 26666, 22969, 11406, 347, 13913, 495, 1923, 5975, 1923, 1315, 321, 270, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 270, 280, 270, 11011, 270, 3891, 11119, 318, 12072, 10734, 564, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 10734, 564, 4732, 341, 326, 26666, 22969, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 7933, 270, 6767, 270, 3891, 11119, 318, 12072, 10734, 564, 318, 15479, 633, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 10734, 564, 318, 15479, 633, 4732, 341, 326, 26666, 22969, 11406, 347, 13913, 496, 1923, 717, 574, 601, 1923, 1315, 326, 270, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 11721, 270, 10623, 270, 3891, 11119, 318, 12072, 14682, 574, 601, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 14682, 574, 601, 4732, 341, 326, 26666, 22969, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 270, 273, 270, 2918, 270, 3891, 11119, 318, 12072, 14682, 574, 601, 318, 15479, 633, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 14682, 574, 601, 318, 15479, 633, 4732, 341, 326, 26666, 22969, 11406, 347, 13913, 497, 1923, 18243, 564, 1923, 1315, 323, 270, 1923, 2999, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 21669, 270, 12711, 270, 3891, 11119, 318, 12072, 5091, 531, 564, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 5091, 531, 564, 4732, 341, 326, 26666, 22969, 1923, 2999, 19112, 521, 21683, 6889, 283, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 11486, 11486, 322, 270, 3891, 11119, 318, 12072, 5091, 531, 564, 318, 15479, 633, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 5091, 531, 564, 318, 15479, 633, 4732, 341, 326, 26666, 285, 22969, 11406, 347, 13913, 498, 1923, 19850, 1923, 1315, 327, 270, 1923, 2999, 19112, 521, 21683, 6889, 283, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 270, 279, 270, 279, 322, 270, 3891, 11119, 318, 12072, 318, 30750, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 318, 30750, 4732, 341, 326, 26666, 285, 22969, 1923, 2999, 19112, 521, 21683, 6889, 283, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 270, 274, 270, 4391, 270, 3891, 11119, 318, 12072, 318, 30750, 318, 15479, 633, 4732, 341, 326, 270, 12553, 29210, 268, 3891, 11119, 318, 12072, 318, 30750, 318, 15479, 633, 4732, 341, 326, 26666, 285, 22969, 11406, 347, 13913, 499, 1923, 966, 822, 1923, 1315, 341, 270, 610, 1315, 342, 270, 1923, 2999, 19112, 521, 21683, 6889, 283, 19112, 521, 21683, 6889, 283, 19112, 521, 21683, 6889, 10059, 2517, 340, 22744, 9884, 1731, 12855, 3820, 11320, 7364, 270, 5570, 976, 270, 628, 3518, 7933, 7933, 321, 270, 3891, 11119, 318, 12072, 24449, 822, 4732, 341, 326, 270, 12553, 29210, 15010, 3891, 1923, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 5575, 268, 17413, 12355, 267, 3689, 22588, 834, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 12355, 2580, 834, 273, 269, 9978, 12355, 18500, 2580, 834, 274, 269, 12355, 18049, 2580, 834, 275, 269, 12355, 22062, 566, 2580, 834, 276, 269, 12355, 9177, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 277, 269, 12355, 7335, 543, 5675, 8487, 2791, 786, 581, 1603, 519, 1101, 1016, 15492, 585, 713, 3184, 563, 2237, 519, 1007, 1016, 15492, 11331, 834, 277, 269, 272, 269, 4985, 547, 519, 12355, 9904, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 269, 0, 8080, 547, 713, 3184, 827, 4683, 1646, 538, 24611, 256, 1411, 1522, 581, 11842, 1018, 602, 1256, 1797, 269, 4270, 267, 1577, 803, 2736, 621, 1524, 585, 596, 269, 5620, 596, 2479, 1044, 547, 513, 2462, 2749, 899, 1715, 3840, 610, 9628, 286, 1403, 865, 267, 1705, 596, 5469, 782, 519, 7381, 5656, 267, 11112, 10754, 267, 543, 6266, 540, 1004, 10876, 286, 2334, 781, 1317, 4872, 1332, 936, 942, 543, 1689, 741, 5920, 1759, 593, 1082, 2188, 971, 607, 2029, 7760, 267, 2551, 2208, 267, 543, 1007, 2093, 269, 901, 1184, 540, 7004, 568, 1572, 4683, 1646, 269, 4653, 649, 786, 2263, 875, 24611, 267, 835, 540, 519, 7887, 4872, 538, 519, 7013, 2136, 2276, 267, 4682, 998, 922, 1378, 23009, 2670, 269, 1924, 10544, 707, 31940, 543, 1205, 4712, 547, 4685, 883, 930, 4241, 1686, 2439, 4131, 781, 1376, 676, 1620, 1946, 4872, 1020, 269, 20079, 2356, 1106, 1472, 1271, 6753, 899, 16788, 267, 8933, 267, 610, 3444, 30030, 2094, 891, 4025, 948, 4123, 543, 6283, 269, 1306, 811, 1004, 1847, 547, 891, 2127, 5275, 3255, 267, 789, 1628, 5321, 267, 4213, 267, 3506, 267, 10506, 267, 543, 11614, 269, 3683, 942, 267, 891, 1507, 17260, 4228, 267, 3056, 547, 20012, 9789, 1184, 950, 6917, 3338, 1831, 4683, 610, 2919, 780, 3086, 602, 596, 1174, 1946, 4872, 1020, 1577, 781, 1413, 693, 24611, 781, 2189, 1650, 269, 5853, 539, 538, 476, 8146, 278, 607, 513, 2165, 19434, 585, 519, 5375, 543, 9533, 21805, 267, 24611, 729, 7620, 1175, 513, 6263, 8498, 609, 1152, 513, 1906, 8075, 543, 15945, 269, 1717, 267, 922, 7580, 4087, 1500, 621, 606, 1898, 13398, 585, 16450, 543, 2792, 1063, 519, 29268, 543, 519, 25878, 2829, 269, 17652, 2614, 267, 24611, 3323, 19788, 11639, 267, 6705, 267, 543, 4600, 3168, 585, 1732, 2729, 269, 1635, 519, 942, 540, 519, 1977, 6406, 2782, 630, 5908, 272, 268, 5908, 276, 1070, 24611, 1185, 2907, 6738, 883, 513, 14297, 4884, 780, 19013, 267, 1282, 519, 2112, 267, 1454, 540, 24611, 729, 10032, 1813, 547, 4108, 3527, 269, 1809, 3079, 540, 4758, 909, 267, 519, 14388, 4961, 32206, 741, 2749, 1256, 6793, 982, 1354, 269, 1358, 16539, 538, 5989, 267, 2069, 267, 543, 3782, 267, 799, 13631, 811, 4213, 543, 7264, 269, 1635, 519, 3735, 476, 866, 628, 2540, 267, 24611, 2968, 1634, 607, 519, 834, 294, 622, 4975, 540, 519, 3162, 2437, 10452, 922, 1909, 607, 513, 1713, 6237, 6283, 4099, 780, 3080, 812, 945, 5129, 513, 2629, 1909, 538, 5935, 2413, 24611, 729, 3220, 269, 3627, 623, 1897, 2023, 267, 519, 23266, 540, 595, 10087, 4211, 7637, 269, 8786, 267, 596, 1224, 602, 1318, 256, 634, 1158, 1922, 13904, 2571, 4235, 729, 4535, 538, 24611, 538, 476, 6642, 277, 269, 20323, 5497, 607, 513, 4915, 267, 595, 10087, 4211, 7637, 3533, 6591, 8560, 607, 513, 24253, 20892, 543, 5280, 2322, 24611, 593, 519, 4786, 607, 513, 2101, 6345, 538, 519, 2518, 4346, 780, 24137, 4464, 547, 519, 476, 736, 628, 2540, 267, 24611, 4810, 4028, 2208, 543, 7269, 267, 2523, 1310, 2622, 2782, 4083, 269, 3509, 3979, 4892, 28953, 547, 519, 2749, 10478, 585, 1732, 2816, 3255, 543, 2713, 2175, 1282, 519, 4279, 24779, 269, 901, 27614, 3366, 547, 15295, 2242, 543, 17275, 519, 3540, 2924, 3350, 267, 799, 6322, 547, 1439, 7292, 17478, 543, 7130, 269, 27748, 545, 5515, 899, 9410, 13162, 3751, 12789, 1421, 945, 729, 849, 689, 24611, 267, 10692, 24091, 585, 7862, 543, 5126, 267, 11014, 4657, 519, 1514, 5958, 540, 711, 1175, 519, 2749, 855, 519, 3003, 4182, 780, 9213, 267, 24611, 5170, 547, 11457, 543, 8853, 269, 898, 814, 9927, 3294, 883, 513, 7524, 3486, 13398, 585, 1870, 267, 2528, 267, 543, 5647, 1247, 8497, 922, 3638, 3140, 6561, 269, 3245, 16475, 519, 21396, 538, 476, 1960, 277, 547, 1373, 1753, 547, 3875, 674, 28232, 476, 4335, 3549, 267, 24611, 6763, 607, 513, 15266, 547, 519, 1379, 540, 6043, 267, 3356, 267, 543, 9322, 780, 1103, 3932, 267, 4683, 1646, 568, 513, 9159, 3460, 2407, 540, 23538, 267, 7140, 267, 543, 29217, 269, 3807, 899, 8384, 513, 21956, 541, 2490, 883, 513, 18173, 267, 26164, 513, 3207, 344, 16456, 8498, 19806, 558, 883, 513, 30832, 1782, 1558, 24227, 666, 4734, 721, 27086, 543, 6273, 269, 1656, 1631, 602, 596, 917, 827, 24611, 781, 6909, 7004, 267, 594, 4126, 596, 1745, 9415, 547, 3605, 2147, 2984, 6456, 1369, 707, 1378, 2950, 269, 2991, 782, 267, 1169, 2749, 814, 922, 1378, 2189, 9661, 547, 2995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1805, 3195, 1467, 707, 579, 14347, 2259, 609, 2367, 13270, 454, 5443, 13270, 8255, 593, 513, 5402, 26940, 3666, 540, 10509, 543, 16419, 1416, 269, 1284, 1683, 707, 579, 14347, 2550, 609, 1569, 547, 2123, 1072, 20843, 267, 513, 5399, 540, 593, 24683, 663, 1299, 2661, 3461, 3872, 2200, 267, 543, 741, 1034, 3407, 4199, 281, 596, 563, 18794, 519, 2367, 13270, 8502, 2146, 2221, 543, 1294, 519, 2640, 540, 938, 3060, 1101, 11804, 563, 272, 267, 1911, 266, 824, 2367, 779, 1072, 2853, 543, 476, 273, 267, 8517, 266, 7426, 723, 1031, 2367, 13270, 547, 2333, 7607, 538, 741, 2259, 563, 763, 2367, 13270, 3060, 814, 513, 4282, 538, 1585, 2367, 779, 1072, 32258, 543, 938, 7426, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 531, 626, 994, 0, 454, 5035, 29571, 912, 825, 1948, 538, 713, 1362, 519, 1283, 540, 519, 10518, 568, 693, 519, 13673, 291, 2336, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 29096, 815, 29129, 825, 1219, 568, 10387, 27679, 4311, 2187, 1038, 2132, 1582, 29096, 2652, 29129, 825, 1219, 7903, 4311, 267, 6221, 2187, 1038, 1582, 29096, 6910, 263, 14403, 2020, 825, 1219, 1402, 4311, 2187, 1038, 1948, 1402, 666, 2132, 606, 4994, 267, 855, 952, 9039, 616, 9138, 454, 1038, 1948, 1287, 621, 1402, 338, 543, 7024, 519, 2063, 3693, 563, 1038, 2132, 1582, 29096, 21014, 10797, 825, 1219, 32708, 4311, 2187, 1038, 2132, 1582, 29096, 314, 6352, 4311, 29096, 9984, 272, 6540, 825, 1219, 2450, 4311, 2187, 1038, 2132, 7003, 4311, 29096, 9239, 338, 815, 29571, 10797, 2745, 4433, 18994, 10387, 27679, 15405, 338, 4877, 2313, 263, 275, 994, 338, 4877, 2313, 3488, 27594, 5073, 2745, 4433, 269, 701, 2131, 15405, 338, 4877, 2313, 263, 12148, 994, 2745, 4433, 25915, 15405, 2745, 4433, 18994, 10387, 27679, 15405, 338, 4877, 2313, 263, 279, 269, 275, 994, 2745, 4433, 21014, 15405, 2745, 4433, 21014, 15405, 2745, 4433, 25915, 3890, 9239, 3698, 7941, 3528, 273, 263, 20657, 10831, 2187, 825, 1121, 23637, 815, 29571, 10797, 825, 1247, 1232, 10831, 3436, 476, 271, 912, 1038, 1121, 815, 1232, 10831, 4939, 476, 273, 454, 1038, 1121, 23637, 4877, 2313, 263, 8145, 994, 1038, 1232, 10831, 815, 1232, 10831, 12262, 476, 273, 692, 825, 10822, 21803, 815, 834, 4840, 825, 1247, 711, 1121, 23637, 18994, 10387, 27679, 10031, 1038, 10822, 21803, 815, 10822, 21803, 1341, 1193, 263, 8145, 23637, 21014, 31156, 825, 2132, 10822, 21803, 692, 2745, 5560, 643, 728, 3528, 273, 263, 5655, 11723, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 322, 5317, 281, 583, 325, 279, 692, 258, 5291, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 1789, 454, 16482, 258, 11550, 25770, 300, 28132, 7728, 912, 258, 5080, 29418, 972, 616, 1152, 1614, 2338, 602, 666, 581, 2854, 607, 519, 2040, 540, 454, 258, 8772, 7060, 540, 741, 9704, 912, 258, 476, 14321, 275, 815, 476, 272, 317, 275, 1341, 476, 277, 317, 275, 1341, 476, 274, 317, 275, 1341, 476, 275, 317, 275, 454, 258, 476, 279, 736, 279, 815, 476, 279, 317, 275, 1341, 476, 273, 317, 275, 1341, 476, 271, 317, 275, 1341, 476, 279, 317, 275, 454, 258, 476, 280, 5325, 275, 815, 476, 280, 317, 275, 1341, 476, 275, 317, 275, 1341, 476, 278, 317, 275, 1341, 476, 275, 317, 275, 454, 16482, 258, 634, 2040, 540, 891, 2338, 568, 476, 14321, 275, 1341, 476, 279, 736, 279, 1341, 476, 280, 5325, 275, 815, 476, 4350, 1626, 563, 16482, 258, 4855, 519, 2040, 540, 782, 519, 2338, 602, 666, 581, 2854, 607, 519, 2040, 540, 11359, 454, 258, 7060, 540, 741, 9704, 563, 16482, 258, 12327, 303, 6369, 2793, 3582, 912, 258, 634, 5207, 1871, 513, 7857, 666, 3565, 568, 476, 280, 317, 276, 815, 476, 276, 3445, 5392, 454, 258, 1323, 562, 18251, 1297, 1131, 723, 513, 1871, 540, 693, 1034, 476, 1015, 18898, 563, 258, 634, 4102, 2040, 540, 519, 9704, 540, 606, 562, 18251, 1297, 568, 562, 265, 276, 3445, 5392, 454, 258, 634, 2040, 540, 9704, 9428, 3500, 17067, 982, 519, 1871, 540, 519, 1297, 3294, 269, 1306, 4166, 454, 258, 607, 649, 616, 4393, 513, 1297, 540, 562, 9704, 799, 568, 3677, 982, 519, 4102, 454, 258, 2040, 540, 606, 562, 18251, 1297, 267, 649, 616, 2944, 269, 2334, 9090, 4523, 609, 476, 278, 18251, 692, 5814, 942, 692, 3698, 1292, 10031, 825, 2698, 318, 14310, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 273, 267, 476, 15886, 15886, 2187, 1038, 1193, 318, 10517, 815, 1193, 9217, 994, 1038, 713, 19571, 23544, 815, 476, 271, 454, 1038, 585, 524, 538, 1193, 318, 10517, 912, 2018, 713, 19571, 23544, 815, 713, 19571, 23544, 1341, 703, 6262, 264, 1262, 276, 454, 1038, 952, 713, 19571, 23544, 2652, 1775, 912, 2018, 2698, 318, 14310, 815, 2698, 318, 14310, 1341, 1775, 454, 825, 1820, 6025, 4973, 318, 14310, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1376, 815, 942, 28333, 4590, 825, 1292, 4590, 825, 1714, 17863, 815, 942, 28333, 3890, 910, 1376, 454, 825, 1820, 3488, 306, 9407, 538, 4939, 269, 273, 325, 7643, 262, 4939, 1714, 17863, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 322, 5317, 281, 583, 325, 279, 692, 258, 5291, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 1626, 454, 16482, 258, 11550, 25770, 300, 28132, 7728, 912, 258, 476, 273, 317, 1428, 815, 476, 27628, 6924, 543, 519, 2040, 540, 922, 9704, 568, 476, 274, 1341, 476, 273, 1341, 476, 278, 1341, 476, 277, 1341, 476, 279, 815, 476, 2918, 563, 16482, 258, 1548, 568, 519, 2040, 540, 519, 9704, 540, 519, 1297, 476, 273, 317, 1911, 271, 15017, 258, 692, 5814, 942, 692, 3698, 1292, 10031, 825, 1079, 2414, 763, 1911, 271, 815, 1193, 263, 273, 1262, 1911, 271, 994, 825, 2040, 815, 476, 271, 454, 825, 585, 1775, 538, 1079, 2414, 763, 1911, 271, 912, 1038, 2040, 6834, 703, 9217, 994, 825, 1820, 4433, 636, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1376, 815, 942, 28333, 4590, 825, 1292, 4590, 825, 1714, 17863, 815, 942, 28333, 3890, 910, 1376, 454, 825, 1820, 3488, 306, 9407, 538, 4939, 269, 273, 325, 7643, 262, 4939, 1714, 17863, 994, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 258, 322, 5317, 281, 583, 325, 279, 692, 258, 5291, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 3066, 454, 16482, 258, 11550, 25770, 300, 28132, 7728, 912, 258, 6333, 782, 8870, 10659, 540, 513, 317, 321, 585, 476, 273, 18016, 513, 18016, 476, 276, 543, 476, 273, 18016, 536, 18016, 476, 276, 563, 16482, 258, 1403, 789, 616, 1287, 5116, 538, 10230, 1931, 267, 609, 1022, 28197, 6569, 267, 649, 1205, 454, 258, 519, 1739, 5311, 540, 476, 1428, 3982, 2474, 912, 16482, 258, 476, 275, 267, 476, 279, 267, 476, 280, 267, 476, 1626, 267, 476, 1839, 267, 476, 2767, 267, 476, 3953, 267, 476, 5038, 267, 476, 10037, 267, 476, 10219, 267, 476, 25838, 267, 476, 16348, 267, 476, 27698, 267, 476, 9083, 275, 267, 476, 24374, 276, 454, 16482, 258, 1215, 1082, 3982, 2474, 616, 538, 519, 5311, 6383, 676, 585, 476, 273, 18016, 513, 18016, 476, 1911, 543, 454, 258, 476, 273, 18016, 536, 18016, 476, 1911, 2496, 5814, 942, 692, 3698, 1292, 10031, 825, 2164, 815, 11713, 825, 585, 513, 538, 2039, 263, 273, 267, 476, 6200, 2187, 1038, 585, 536, 538, 2039, 263, 273, 267, 476, 6200, 2187, 2018, 759, 815, 513, 1262, 321, 454, 2018, 952, 759, 711, 538, 2164, 912, 3546, 2164, 6910, 263, 637, 2020, 825, 1820, 12759, 263, 29798, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1376, 815, 942, 28333, 4590, 825, 1292, 4590, 825, 1714, 17863, 815, 942, 28333, 3890, 910, 1376, 454, 825, 1820, 3488, 306, 9407, 538, 4939, 269, 273, 325, 7643, 262, 4939, 1714, 17863, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 1770, 11687, 5897, 5035, 18185, 24998, 8029, 21506, 825, 1219, 1039, 4311, 267, 1535, 267, 586, 8029, 1038, 1297, 318, 18196, 815, 630, 842, 267, 1279, 267, 10581, 267, 1950, 3418, 21506, 1038, 952, 568, 27349, 3287, 267, 1297, 318, 18196, 264, 543, 568, 27349, 12169, 267, 1297, 318, 18196, 8029, 2018, 2132, 1535, 1341, 586, 1477, 1038, 3116, 6769, 2018, 6318, 28759, 5897, 825, 1219, 10208, 4311, 267, 1535, 267, 586, 8029, 1038, 1297, 318, 18196, 815, 630, 842, 267, 1279, 267, 10581, 267, 1950, 3418, 21506, 1038, 952, 568, 27349, 3287, 267, 1297, 318, 18196, 264, 543, 568, 27349, 12169, 267, 1297, 318, 18196, 8029, 2018, 2132, 1535, 910, 586, 1477, 1038, 3116, 6769, 2018, 6318, 28759, 5897, 258, 1449, 519, 9498, 10342, 1477, 5035, 4530, 15612, 1807, 263, 684, 8636, 652, 11053, 652, 19111, 2567, 5897, 825, 1219, 1305, 10000, 4311, 8029, 1038, 1582, 269, 5632, 322, 815, 18185, 31476, 453, 258, 713, 4255, 519, 1039, 10342, 1477, 453, 258, 476, 273, 1341, 476, 273, 815, 476, 275, 1477, 453, 258, 476, 273, 1341, 476, 275, 815, 476, 277, 1477, 453, 258, 476, 273, 1341, 11196, 273, 264, 815, 476, 271, 1477, 825, 1219, 1449, 318, 20412, 1807, 318, 5417, 8548, 1385, 318, 4958, 5281, 6831, 8091, 318, 14310, 4311, 8029, 1038, 1267, 815, 1582, 269, 5632, 322, 14491, 263, 273, 267, 476, 273, 3418, 1038, 1582, 27863, 263, 275, 267, 1267, 3418, 1038, 1267, 815, 1582, 269, 5632, 322, 14491, 263, 273, 267, 275, 3418, 1038, 1582, 27863, 263, 277, 267, 1267, 3418, 1038, 1267, 815, 1582, 269, 5632, 322, 14491, 263, 273, 267, 910, 273, 3418, 1038, 1582, 27863, 263, 271, 267, 1267, 10142, 825, 1219, 1449, 318, 20412, 1807, 5334, 889, 339, 847, 8548, 1385, 318, 4958, 5281, 6831, 8091, 318, 14310, 4311, 8029, 1038, 1267, 815, 1582, 269, 5632, 322, 16553, 339, 847, 263, 273, 267, 476, 273, 3418, 1038, 1582, 27863, 263, 271, 267, 1267, 3418, 1038, 1267, 815, 1582, 269, 5632, 322, 16553, 339, 847, 263, 273, 267, 275, 3418, 1038, 1582, 27863, 8987, 273, 267, 1267, 3418, 1038, 1267, 815, 1582, 269, 5632, 322, 16553, 339, 847, 263, 273, 267, 910, 275, 3418, 1038, 1582, 27863, 263, 277, 267, 1267, 10142, 453, 258, 3698, 1449, 318, 20412, 1807, 318, 4958, 5281, 318, 19587, 8548, 20687, 318, 604, 10734, 1054, 318, 16911, 318, 2254, 5332, 13246, 4311, 8029, 825, 1948, 825, 1582, 20596, 26244, 2478, 263, 19368, 13286, 267, 1582, 269, 5632, 322, 14491, 267, 1412, 18314, 3299, 1412, 22764, 20298, 825, 1948, 825, 1582, 20596, 26244, 2478, 263, 19368, 13286, 267, 1582, 269, 5632, 322, 16553, 339, 847, 267, 1412, 18314, 3299, 1412, 22764, 262, 10142, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1770, 11687, 6230, 664, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 333, 815, 476, 1015, 1477, 20123, 815, 476, 272, 1477, 328, 815, 476, 272, 1477, 6112, 1775, 10922, 562, 6769, 476, 1617, 815, 1617, 2608, 1775, 1477, 476, 1775, 815, 1775, 1341, 476, 272, 1477, 2745, 834, 11372, 17586, 540, 476, 272, 2394, 4939, 323, 281, 4939, 271, 269, 273, 325, 257, 4939, 630, 333, 267, 20123, 3418, 0, 5814, 1770, 11687, 5897, 5228, 9498, 1104, 27353, 267, 1039, 267, 2655, 3555, 267, 9062, 267, 7941, 24653, 258, 1449, 519, 9498, 10342, 5897, 5035, 4530, 15612, 1807, 263, 684, 8636, 652, 11053, 652, 19111, 2567, 5897, 24541, 22592, 1449, 5417, 4311, 8029, 453, 19677, 27863, 263, 277, 267, 1039, 630, 273, 267, 275, 17903, 453, 19677, 27863, 8987, 274, 267, 1039, 630, 272, 16427, 275, 17903, 453, 19677, 27863, 263, 271, 267, 1039, 11196, 273, 267, 273, 17903, 453, 19677, 27863, 263, 271, 267, 1039, 11196, 273, 267, 273, 17903, 453, 19677, 27863, 263, 1015, 267, 1039, 630, 276, 267, 276, 17903, 453, 19677, 27863, 263, 275, 267, 1039, 263, 277, 16427, 273, 17903, 4848, 15235, 1477, 22592, 1449, 2399, 3645, 4311, 2567, 21506, 453, 19677, 27863, 263, 6344, 267, 27353, 263, 276, 17903, 453, 19677, 27863, 263, 272, 267, 27353, 263, 272, 17903, 453, 19677, 27863, 263, 273, 267, 27353, 263, 273, 17903, 453, 19677, 27863, 263, 2190, 267, 27353, 263, 275, 17903, 453, 19677, 27863, 2891, 8882, 2580, 27353, 8987, 274, 17903, 4848, 1477, 22592, 2655, 3555, 4311, 8029, 453, 19677, 27863, 263, 6344, 267, 2655, 3555, 263, 9610, 267, 736, 17903, 453, 19677, 27863, 263, 4649, 267, 2655, 3555, 263, 6434, 267, 476, 3451, 17903, 453, 19677, 27863, 8987, 272, 267, 2655, 3555, 263, 273, 267, 274, 17903, 453, 19677, 27863, 263, 271, 267, 2655, 3555, 8987, 2004, 267, 2004, 17903, 453, 19677, 27863, 8987, 736, 267, 2655, 3555, 8987, 3199, 16427, 2568, 17903, 453, 1477, 22592, 9062, 4311, 2567, 21506, 453, 19677, 27863, 2891, 22974, 2580, 9062, 263, 273, 267, 271, 17903, 453, 19677, 27863, 263, 736, 267, 9062, 263, 1015, 267, 273, 17903, 453, 19677, 27863, 2891, 22974, 2580, 4573, 17586, 263, 271, 267, 274, 17903, 453, 19677, 27863, 263, 3393, 267, 9062, 263, 280, 267, 276, 17903, 453, 19677, 27863, 8987, 3374, 267, 9062, 8987, 278, 267, 276, 17903, 4848, 1477, 22592, 7941, 4311, 8029, 453, 1477, 453, 19677, 27863, 2891, 22974, 2580, 7941, 263, 273, 267, 271, 17903, 453, 19677, 27863, 2891, 22974, 2580, 7941, 263, 271, 267, 274, 17903, 453, 19677, 27863, 263, 274, 267, 7941, 263, 280, 267, 274, 4297, 21506, 453, 19677, 27863, 8987, 276, 267, 7941, 8987, 11277, 271, 267, 476, 26727, 17903, 453, 19677, 27863, 263, 280, 267, 7941, 8987, 10037, 267, 910, 280, 264, 10142, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 453, 684, 8636, 652, 6230, 664, 3890, 0, 5228, 28189, 1104, 14449, 454, 5814, 11885, 607, 5286, 692, 5035, 22953, 3890, 1384, 825, 1948, 19461, 1944, 519, 1362, 609, 8900, 6724, 8675, 563, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 1706, 4461, 815, 31460, 8931, 825, 1948, 11822, 4661, 547, 2132, 519, 8675, 2418, 454, 825, 1219, 1205, 318, 1706, 4461, 4311, 2187, 1038, 2132, 1582, 269, 1706, 4461, 692, 825, 1948, 2422, 995, 585, 4259, 2789, 6724, 538, 519, 23374, 22953, 454, 825, 1219, 1305, 318, 1706, 4461, 4311, 267, 2878, 29220, 16911, 2187, 1038, 585, 737, 267, 642, 538, 737, 342, 16911, 29096, 10031, 2018, 1582, 269, 1706, 4461, 25208, 316, 815, 642, 454, 1038, 6318, 3502, 25363, 7757, 13286, 692, 825, 1948, 6396, 602, 10039, 519, 1572, 3514, 4542, 689, 1016, 5035, 563, 825, 1219, 3514, 4311, 267, 2473, 267, 586, 2187, 1038, 6318, 3502, 25363, 7757, 13286, 692, 825, 1948, 21964, 519, 6724, 547, 2347, 12605, 563, 825, 1219, 3589, 4311, 267, 2473, 2187, 1038, 6318, 3502, 25363, 7757, 13286, 692, 825, 1948, 6156, 525, 519, 681, 273, 6060, 454, 825, 1219, 6060, 4311, 267, 2473, 267, 586, 2187, 1038, 6318, 3502, 25363, 7757, 13286, 692, 5035, 12430, 8802, 1833, 263, 8802, 1833, 2187, 8931, 825, 1948, 3399, 338, 676, 8159, 519, 9343, 543, 6241, 13080, 540, 2473, 454, 825, 1948, 543, 813, 1742, 513, 6241, 540, 3283, 547, 948, 12337, 18448, 338, 563, 825, 1948, 3973, 12337, 519, 11664, 4542, 689, 519, 3330, 856, 454, 825, 1948, 4358, 609, 8159, 1535, 4671, 3757, 2821, 267, 519, 11201, 540, 513, 5119, 454, 825, 1948, 8691, 267, 543, 519, 5119, 8691, 540, 1535, 4671, 3757, 2821, 543, 586, 563, 825, 1948, 623, 7491, 713, 782, 1927, 883, 513, 12498, 1871, 799, 568, 5293, 883, 1582, 269, 1706, 4461, 454, 825, 1948, 8675, 780, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 263, 30791, 8802, 1833, 267, 1582, 1040, 1029, 8181, 9191, 2020, 825, 1219, 3514, 4311, 267, 2473, 267, 586, 2187, 1038, 630, 333, 267, 533, 264, 815, 2473, 17482, 454, 1038, 1535, 318, 2908, 815, 5286, 6910, 11583, 267, 5286, 269, 2158, 9230, 333, 267, 476, 272, 24270, 7852, 815, 476, 272, 2020, 1038, 1535, 4671, 4920, 2821, 815, 5286, 6745, 4920, 2821, 3287, 318, 2908, 994, 1038, 1535, 18425, 341, 815, 5286, 7456, 1400, 326, 4877, 28717, 18828, 269, 3901, 332, 592, 3287, 4671, 4920, 2821, 267, 1535, 318, 2908, 4917, 1038, 586, 19056, 815, 5286, 269, 3901, 332, 592, 3287, 4671, 4920, 2821, 267, 586, 994, 1038, 1582, 12500, 9508, 815, 5286, 269, 3901, 332, 592, 3287, 18425, 341, 267, 586, 19056, 994, 1038, 1948, 1582, 12500, 9508, 815, 1045, 18828, 269, 3901, 332, 592, 18828, 6745, 4920, 2821, 3287, 318, 2908, 1070, 1535, 318, 2908, 4297, 2608, 630, 12639, 6745, 4920, 2821, 2608, 586, 994, 1038, 1582, 269, 1706, 4461, 815, 27835, 5793, 1061, 9166, 1582, 12500, 9508, 15631, 272, 3910, 1412, 1723, 324, 13266, 9166, 1582, 12500, 9508, 11468, 268, 272, 316, 348, 7531, 825, 1948, 570, 1389, 519, 2418, 689, 3514, 1505, 543, 4025, 873, 538, 519, 586, 815, 2473, 265, 289, 4542, 547, 3097, 825, 1948, 3313, 519, 5276, 9695, 780, 825, 1219, 3589, 4311, 267, 2473, 2187, 1038, 522, 3149, 815, 476, 5286, 31715, 11583, 267, 1582, 269, 1706, 4461, 9131, 1723, 324, 13266, 262, 8079, 1341, 1582, 269, 1706, 4461, 9131, 5793, 1061, 23300, 1038, 2132, 522, 3149, 692, 825, 1948, 10331, 625, 519, 12596, 538, 519, 5401, 547, 3313, 519, 681, 273, 6060, 563, 825, 1219, 6060, 4311, 267, 2473, 267, 586, 2187, 1038, 586, 318, 11743, 815, 5286, 32557, 12169, 994, 1038, 586, 7272, 9438, 539, 815, 1582, 4877, 9438, 11583, 994, 1038, 521, 560, 815, 5286, 27904, 9230, 344, 910, 586, 318, 11743, 264, 1262, 273, 994, 1038, 521, 572, 815, 5286, 27904, 9230, 344, 910, 586, 7272, 9438, 539, 264, 1262, 273, 994, 1038, 681, 273, 815, 476, 272, 910, 630, 338, 572, 1315, 521, 560, 994, 1038, 2132, 681, 273, 7531, 5035, 23374, 8802, 1833, 263, 30791, 8802, 1833, 2187, 8931, 825, 1948, 19461, 3278, 519, 1362, 609, 519, 13672, 9936, 563, 825, 1219, 6449, 8181, 9191, 1345, 267, 13672, 2187, 1038, 2706, 27562, 3805, 8802, 1833, 267, 1582, 1040, 1029, 8181, 1029, 4590, 1038, 1582, 269, 1706, 4461, 9131, 10401, 11172, 815, 13672, 692, 825, 1948, 5381, 547, 519, 4640, 689, 1657, 267, 1939, 525, 519, 12498, 14170, 689, 519, 3330, 454, 825, 1948, 856, 269, 18786, 609, 11018, 519, 3337, 540, 2473, 543, 9001, 602, 547, 1305, 606, 1039, 262, 331, 6241, 454, 825, 1948, 540, 18448, 338, 1354, 1210, 1098, 12723, 543, 538, 951, 539, 2418, 547, 798, 5119, 8691, 563, 825, 1948, 7053, 267, 1939, 338, 12498, 14170, 543, 4025, 873, 538, 1582, 269, 1706, 4461, 8675, 563, 825, 1219, 3514, 4311, 267, 2473, 267, 586, 2187, 1038, 630, 333, 267, 533, 264, 815, 2473, 17482, 692, 1038, 1535, 318, 2908, 815, 5286, 6910, 11583, 267, 5286, 269, 2158, 9230, 333, 267, 476, 272, 24270, 7852, 815, 476, 272, 994, 1038, 1036, 815, 5286, 31715, 4311, 269, 1706, 4461, 9131, 10401, 28710, 5286, 269, 1211, 640, 9638, 266, 272, 4917, 1038, 1535, 4671, 4920, 2821, 815, 5286, 6745, 4920, 2821, 3287, 318, 2908, 994, 1038, 6418, 815, 1535, 4671, 4920, 2821, 31715, 3287, 318, 2908, 264, 1341, 1036, 454, 1038, 6418, 18425, 341, 815, 5286, 7456, 1400, 326, 23357, 341, 263, 27903, 994, 1038, 1948, 6418, 815, 1036, 1341, 5286, 7456, 1400, 326, 23357, 341, 18828, 269, 3901, 332, 592, 3287, 4671, 4920, 2821, 267, 1535, 318, 2908, 4917, 1038, 9018, 815, 5286, 269, 3901, 332, 592, 3287, 4671, 4920, 2821, 267, 586, 994, 1038, 1582, 12500, 9508, 815, 5286, 269, 3901, 332, 592, 263, 27903, 18425, 341, 267, 9018, 994, 1038, 1948, 1582, 12500, 9508, 815, 630, 28717, 18828, 6745, 4920, 2821, 3287, 318, 2908, 264, 2608, 1535, 318, 2908, 264, 1341, 630, 28717, 4311, 269, 10401, 264, 2608, 1582, 269, 10401, 4297, 2608, 630, 12639, 6745, 4920, 2821, 2608, 586, 994, 1038, 1582, 269, 1706, 4461, 815, 27835, 5793, 1061, 9166, 1582, 12500, 9508, 15631, 272, 3910, 1412, 1723, 324, 13266, 9166, 1582, 12500, 9508, 11468, 268, 272, 316, 10926, 825, 1948, 6684, 3096, 519, 586, 815, 2473, 265, 289, 3830, 547, 12337, 10567, 2418, 563, 825, 1219, 3589, 4311, 267, 2473, 2187, 1038, 25170, 815, 5286, 31715, 11583, 267, 1345, 269, 1706, 4461, 9131, 1723, 324, 13266, 262, 8079, 1341, 1582, 269, 1706, 4461, 9131, 5793, 1061, 23300, 1038, 1820, 4311, 10947, 318, 1706, 4461, 3890, 9131, 5793, 1061, 262, 7481, 1038, 2132, 25170, 692, 825, 1948, 10331, 625, 519, 12596, 538, 519, 5401, 547, 3313, 519, 681, 273, 6060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1101, 4845, 609, 834, 13433, 257, 607, 952, 596, 3858, 609, 1250, 1913, 267, 855, 707, 2034, 4845, 2982, 602, 2901, 596, 10990, 610, 19955, 563, 296, 2015, 26398, 540, 2067, 3157, 607, 1035, 30167, 11673, 540, 1570, 3157, 269, 1635, 834, 659, 30167, 2580, 594, 1611, 602, 4352, 649, 949, 607, 9216, 12985, 11673, 547, 2067, 3157, 267, 1346, 26398, 786, 2992, 1100, 1483, 5817, 21465, 6127, 269, 6270, 3292, 2608, 9188, 9216, 265, 543, 2608, 335, 9438, 265, 2067, 3157, 855, 789, 798, 711, 2608, 322, 1021, 265, 2067, 3157, 563, 1607, 1797, 649, 3112, 2965, 26134, 2067, 3157, 609, 3301, 269, 1284, 666, 1152, 2608, 13678, 3634, 265, 1346, 3157, 267, 543, 13502, 540, 2067, 3157, 723, 1100, 1483, 8996, 7907, 282, 789, 2291, 1152, 607, 3059, 11673, 540, 1483, 1919, 267, 607, 3059, 3631, 540, 1483, 1919, 267, 607, 3059, 26007, 540, 1483, 1919, 563, 13706, 519, 1383, 540, 513, 19106, 540, 513, 4365, 1062, 267, 1577, 721, 2161, 513, 19996, 269, 9717, 2614, 1344, 543, 519, 2953, 11378, 267, 938, 19106, 786, 538, 6240, 9985, 4766, 543, 3589, 519, 19996, 781, 2623, 269, 594, 1589, 596, 786, 3858, 2705, 971, 513, 3501, 11191, 1131, 711, 6961, 602, 3292, 2965, 2608, 322, 1021, 265, 19996, 2623, 563, 296, 798, 711, 3494, 519, 2634, 4018, 5809, 585, 1022, 2027, 9868, 547, 713, 4341, 269, 1548, 10039, 547, 24377, 543, 824, 2067, 3157, 10039, 849, 547, 519, 1480, 2634, 269, 6736, 519, 1249, 602, 649, 3006, 1589, 540, 519, 2634, 607, 606, 834, 15574, 16267, 2580, 593, 2673, 14791, 938, 946, 540, 602, 2165, 1281, 711, 17854, 10205, 532, 519, 2070, 602, 519, 2634, 6818, 607, 1175, 1776, 2067, 1843, 538, 2470, 267, 2523, 607, 621, 4145, 9637, 269, 1924, 1287, 1175, 607, 1483, 24377, 798, 711, 2291, 607, 26398, 267, 9444, 798, 1483, 12058, 2291, 607, 26398, 563, 5415, 1344, 827, 519, 970, 16552, 7302, 520, 0, 21008, 2581, 1063, 16664, 543, 14799, 16664, 269, 1548, 568, 513, 1434, 5635, 270, 4186, 2858, 540, 15248, 16077, 609, 15248, 5839, 706, 742, 538, 16077, 286, 476, 1708, 273, 268, 1015, 268, 2641, 454, 21008, 2581, 1063, 16664, 543, 14799, 16664, 454, 21547, 10106, 543, 15248, 16077, 616, 1079, 3197, 538, 9956, 781, 1404, 834, 21547, 10106, 257, 945, 616, 9310, 547, 1142, 824, 543, 1404, 513, 1713, 1909, 538, 519, 4729, 269, 5637, 3197, 616, 9141, 676, 20440, 267, 855, 789, 723, 1360, 1114, 14789, 543, 4485, 547, 8236, 741, 3853, 563, 21547, 10106, 568, 513, 12703, 543, 15626, 17199, 945, 568, 7620, 11688, 26938, 547, 1246, 998, 609, 519, 16322, 2886, 540, 519, 26734, 543, 6146, 3751, 30338, 269, 1261, 568, 14324, 1063, 1010, 14017, 547, 30338, 543, 1010, 7287, 585, 1379, 269, 15248, 16077, 267, 593, 519, 824, 1688, 267, 568, 811, 678, 3578, 1652, 543, 5462, 547, 1294, 741, 4566, 2097, 547, 2927, 819, 269, 2701, 979, 6758, 16077, 883, 2962, 267, 20310, 1864, 602, 646, 1590, 28958, 519, 4316, 547, 1831, 4622, 543, 28409, 1864, 547, 834, 19972, 899, 519, 17608, 8768, 267, 855, 581, 519, 1583, 25871, 896, 621, 4799, 4407, 16077, 6038, 5205, 998, 609, 519, 12638, 267, 646, 568, 12109, 22486, 609, 16203, 543, 26845, 269, 1261, 568, 20807, 539, 676, 519, 15293, 540, 30338, 543, 568, 8572, 547, 3207, 610, 1265, 4708, 269, 15248, 16077, 267, 593, 519, 824, 1688, 267, 4667, 811, 14388, 547, 519, 5626, 2360, 540, 741, 3527, 269, 2701, 568, 2111, 547, 2226, 513, 2631, 540, 9350, 543, 1852, 267, 1256, 2469, 865, 2484, 607, 547, 3942, 513, 6429, 547, 3382, 909, 519, 6760, 543, 2149, 1200, 9393, 563, 2026, 519, 1404, 22264, 267, 2705, 267, 519, 5107, 540, 16077, 543, 15248, 16077, 2253, 547, 9258, 269, 15248, 16077, 3587, 10057, 676, 16203, 543, 5956, 547, 7985, 689, 3207, 19769, 532, 543, 26390, 5209, 269, 2701, 568, 5555, 9141, 547, 11980, 267, 8572, 547, 11883, 609, 519, 2597, 540, 1200, 3527, 269, 16077, 267, 593, 519, 824, 1688, 267, 3587, 811, 8746, 543, 23801, 267, 1256, 607, 646, 1784, 1742, 883, 32408, 269, 1261, 3587, 513, 28112, 2335, 673, 14610, 267, 8348, 547, 798, 8726, 621, 3217, 547, 2226, 1010, 1379, 563, 1103, 3932, 267, 16077, 543, 15248, 16077, 616, 1950, 543, 15491, 3197, 945, 616, 9141, 676, 20440, 543, 513, 7287, 585, 1379, 269, 2755, 789, 2671, 1082, 10486, 267, 789, 849, 723, 1713, 3604, 538, 741, 14789, 543, 4485, 547, 8236, 741, 3853, 269, 634, 13249, 2621, 540, 519, 1404, 6038, 5031, 519, 16160, 2470, 540, 31250, 20440, 543, 519, 12178, 540, 3850, 621, 547, 8532, 835, 781, 1272, 563, 1692, 3657, 16077, 1656, 15248, 16077, 3465, 5034, 769, 2920, 476, 273, 26657, 2483, 18814, 547, 891, 1079, 11236, 267, 16077, 4956, 547, 6146, 1346, 1004, 945, 1522, 581, 513, 5906, 3463, 547, 1010, 17599, 269, 17842, 281, 5651, 836, 12409, 3213, 269, 1717, 267, 15248, 16077, 814, 3833, 513, 9670, 7209, 607, 1352, 568, 711, 519, 32616, 673, 10906, 534, 4807, 269, 7956, 2776, 1613, 6969, 543, 2991, 1879, 9236, 16077, 543, 15248, 16077, 547, 1142, 824, 267, 519, 1292, 16726, 1063, 873, 602, 1590, 581, 5018, 568, 602, 789, 1312, 723, 1164, 27606, 585, 28370, 543, 30493, 269, 16077, 2601, 609, 15248, 16077, 338, 9753, 538, 1010, 1151, 559, 13228, 344, 538, 2920, 835, 267, 26657, 5722, 543, 689, 519, 1919, 646, 2507, 1215, 1281, 9956, 1397, 519, 2242, 538, 16077, 286, 1261, 1152, 6238, 547, 2731, 1589, 540, 519, 2856, 602, 789, 1522, 581, 10213, 1864, 519, 5168, 950, 789, 30339, 1864, 607, 519, 982, 324, 540, 595, 1177, 323, 528, 267, 799, 16172, 1310, 267, 646, 11392, 2262, 646, 814, 1044, 3957, 269, 3245, 519, 1376, 1352, 814, 1852, 540, 16077, 269, 1717, 267, 547, 1390, 9983, 267, 15248, 16077, 1131, 581, 8810, 18205, 569, 4636, 563, 21008, 894, 5811, 540, 15248, 16077, 543, 2405, 20660, 454, 299, 8014, 16077, 11392, 513, 4484, 689, 16077, 1141, 646, 2829, 646, 568, 2348, 4555, 540, 11318, 30338, 855, 646, 1281, 711, 2161, 602, 646, 786, 269, 2701, 568, 1360, 25796, 543, 1281, 711, 1256, 2015, 519, 2507, 16077, 29480, 4828, 634, 1913, 540, 519, 26734, 616, 1018, 3310, 16077, 883, 1010, 1101, 11318, 269, 4256, 5107, 723, 1044, 20328, 267, 543, 1352, 3587, 519, 834, 933, 752, 1782, 257, 1247, 646, 3587, 519, 5260, 720, 20599, 945, 786, 798, 4376, 547, 1831, 543, 2611, 519, 4622, 269, 1133, 762, 547, 6023, 519, 5168, 267, 1352, 862, 1080, 11980, 269, 634, 1480, 2634, 568, 3532, 267, 2943, 865, 13587, 1516, 281, 513, 1268, 1223, 581, 6766, 796, 4621, 19290, 547, 1685, 25432, 4636, 3527, 602, 1291, 547, 1010, 610, 1200, 31774, 269, 16077, 781, 8445, 20440, 543, 4222, 2501, 693, 519, 1439, 540, 14424, 1656, 25037, 16077, 1656, 15248, 16077, 16077, 568, 9090, 835, 540, 1250, 5172, 4249, 540, 9956, 269, 14755, 267, 1312, 3197, 616, 9409, 543, 10795, 563, 24718, 543, 25037, 16077, 543, 15248, 16077, 4828, 454, 1103, 519, 1404, 16077, 267, 20440, 267, 4222, 267, 543, 1202, 534, 640, 1404, 2101, 5107, 538, 875, 519, 3197, 16077, 543, 15248, 16077, 13789, 543, 2746, 269, 4014, 15248, 16077, 568, 1869, 6793, 543, 811, 16529, 982, 16077, 519, 11318, 540, 30338, 568, 519, 1448, 1141, 519, 7934, 6238, 547, 7522, 269, 634, 20049, 540, 741, 14789, 1310, 519, 12638, 540, 519, 4622, 8761, 875, 1454, 789, 1185, 19765, 13846, 519, 8515, 540, 741, 6411, 269, 901, 568, 519, 15626, 2427, 540, 1864, 282, 2476, 689, 519, 25071, 1010, 30493, 568, 8854, 267, 646, 29826, 547, 519, 1377, 540, 3833, 1455, 2367, 269, 16077, 338, 16203, 543, 26845, 568, 10423, 1310, 519, 11318, 269, 10390, 769, 3932, 267, 1312, 9956, 543, 20195, 760, 1938, 2099, 2021, 11475, 563, 24718, 543, 25037, 519, 32018, 540, 15248, 16077, 543, 15248, 2483, 3891, 9607, 1200, 607, 834, 3240, 632, 11732, 7649, 538, 30493, 257, 2920, 594, 267, 26657, 476, 276, 267, 476, 1015, 268, 1556, 269, 1809, 950, 972, 568, 4986, 547, 581, 2965, 2944, 646, 568, 27507, 540, 1582, 20820, 282, 646, 3112, 7227, 6862, 1796, 1869, 282, 646, 3587, 513, 10352, 547, 9118, 15265, 16697, 902, 282, 646, 568, 3552, 569, 22530, 25875, 269, 2701, 729, 519, 8789, 835, 1369, 519, 7008, 585, 1454, 540, 519, 4098, 269, 16077, 729, 2854, 2038, 538, 519, 4341, 540, 3751, 6276, 594, 267, 945, 16309, 10348, 10906, 543, 1831, 519, 2296, 4622, 538, 476, 8182, 274, 282, 1247, 972, 568, 711, 513, 5730, 1634, 4266, 602, 16077, 729, 2854, 267, 519, 13677, 13357, 568, 5156, 676, 5640, 547, 723, 1044, 7768, 538, 476, 8182, 277, 281, 513, 942, 950, 519, 10083, 540, 519, 6426, 538, 4789, 729, 1164, 645, 269, 11790, 971, 607, 30373, 543, 20440, 1404, 513, 5458, 1909, 538, 3384, 519, 1915, 540, 519, 1079, 269, 1284, 786, 581, 3168, 538, 3178, 693, 15248, 16077, 689, 9956, 1412, 338, 1404, 1412, 21547, 10106, 22207, 543, 2701, 10042, 689, 808, 269, 1879, 1352, 1224, 519, 4484, 827, 519, 16322, 2886, 543, 875, 16077, 568, 4947, 1753, 4166, 1352, 5612, 6238, 1821, 2358, 4566, 547, 6146, 30338, 563, 21547, 10106, 543, 15248, 16077, 281, 589, 18948, 540, 5565, 7756, 20514, 538, 513, 7591, 10886, 5811, 454, 21547, 10106, 814, 2168, 4222, 1247, 1352, 20186, 2189, 3929, 1379, 269, 634, 14745, 540, 713, 3844, 2856, 568, 547, 581, 1336, 538, 519, 4473, 543, 2887, 540, 7083, 543, 15248, 16077, 269, 2991, 519, 12638, 729, 2944, 267, 16077, 13166, 2968, 519, 3751, 540, 10430, 269, 2353, 891, 616, 2944, 865, 602, 1200, 9393, 666, 581, 7715, 2740, 3751, 269, 15248, 16077, 676, 713, 1448, 814, 1831, 865, 678, 5200, 609, 16203, 602, 1352, 3207, 19789, 802, 3781, 569, 543, 5555, 10523, 689, 519, 16203, 269, 16077, 568, 1152, 10121, 547, 5128, 267, 1247, 5839, 706, 742, 4991, 7318, 267, 543, 8810, 547, 581, 10121, 547, 10430, 543, 519, 4622, 563, 1432, 568, 513, 1434, 5635, 270, 4186, 2858, 540, 15248, 16077, 609, 15248, 5839, 706, 742, 538, 16077, 888, 8469, 20660, 849, 568, 13269, 607, 513, 31029, 1915, 267, 855, 1352, 3649, 951, 1354, 11318, 1200, 1453, 269, 4935, 519, 25710, 4185, 1063, 519, 1079, 568, 602, 1063, 519, 4052, 1272, 543, 519, 7214, 267, 543, 519, 2360, 540, 713, 3017, 616, 10876, 7805, 269, 2060, 519, 1082, 22027, 602, 16077, 1185, 971, 607, 646, 1131, 711, 581, 10121, 610, 646, 1131, 581, 9575, 543, 7166, 646, 15260, 3293, 5128, 543, 829, 572, 30099, 998, 1010, 4555, 547, 9585, 11318, 519, 4622, 269, 1261, 16976, 547, 581, 26203, 676, 1200, 267, 543, 1352, 6487, 875, 547, 1852, 1010, 2247, 547, 798, 1018, 1352, 6499, 269, 4828, 2201, 6468, 769, 16077, 476, 5952, 272, 9293, 476, 275, 9664, 634, 5208, 543, 2800, 1352, 1131, 798, 547, 1200, 1126, 3123, 15372, 543, 8591, 547, 1200, 5636, 29532, 1915, 563, 23322, 14424, 543, 25037, 281, 16077, 543, 15248, 16077, 538, 9956, 781, 7591, 281, 1496, 13625, 7151, 3910, 476, 3393, 280, 1913, 24110, 293, 1460, 518, 454, 22746, 513, 1650, 568, 513, 1697, 6249, 585, 13357, 267, 1317, 621, 20186, 2178, 1480, 562, 2137, 32626, 609, 543, 7753, 676, 22038, 282, 1185, 789, 1044, 4617, 562, 2137, 519, 19018, 1063, 519, 4229, 1131, 723, 1044, 1932, 1390, 267, 543, 649, 1058, 723, 1185, 2619, 657, 543, 711, 13357, 269, 634, 1101, 267, 1373, 519, 12638, 540, 30338, 267, 729, 8149, 609, 519, 20715, 3310, 540, 1010, 14799, 269, 1306, 513, 1770, 16077, 543, 15248, 16077, 3343, 1379, 282, 2705, 267, 15248, 16077, 568, 811, 16529, 982, 16077, 543, 568, 5462, 547, 1831, 15596, 269, 769, 16077, 267, 519, 3197, 602, 1831, 15508, 796, 6202, 616, 16077, 543, 15248, 16077, 1310, 519, 12638, 540, 30338, 267, 519, 5449, 3751, 269, 16270, 2132, 547, 741, 4055, 15248, 16077, 568, 1175, 607, 695, 809, 909, 607, 16077, 269, 901, 568, 3964, 547, 1016, 3200, 2507, 14424, 1656, 25037, 5839, 706, 742, 1656, 15248, 16077, 16077, 543, 5839, 291, 4428, 723, 2097, 689, 519, 1482, 1915, 4282, 1312, 616, 918, 1231, 2006, 547, 519, 3751, 540, 10430, 30338, 269, 2311, 519, 4098, 540, 519, 1404, 267, 835, 4991, 519, 2856, 602, 519, 7008, 729, 1360, 2673, 950, 16077, 11339, 513, 4484, 538, 11235, 1145, 547, 1010, 7385, 10213, 1200, 540, 519, 28897, 563, 13625, 593, 14424, 543, 25037, 281, 16077, 1299, 15248, 16077, 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 ]
[ 476, 2735, 271, 269, 31869, 1326, 1144, 779, 11601, 540, 1134, 936, 476, 4968, 3817, 540, 1313, 1748, 8464, 540, 654, 714, 2088, 779, 9921, 960, 29932, 3832, 560, 1537, 2575, 267, 8964, 267, 543, 2575, 585, 13691, 1765, 15884, 1450, 5640, 547, 2932, 513, 1454, 2407, 518, 813, 26150, 540, 654, 714, 2088, 779, 18517, 269, 634, 5152, 10268, 1934, 267, 689, 513, 4015, 540, 4436, 12563, 9954, 602, 849, 6273, 971, 4505, 25803, 607, 5576, 30977, 543, 10067, 2401, 267, 9356, 654, 714, 2088, 779, 18596, 1719, 538, 18691, 543, 12563, 2575, 563, 303, 21332, 267, 15182, 7605, 16535, 7736, 578, 618, 8750, 454, 2108, 303, 3317, 625, 689, 24656, 892, 700, 4875, 13340, 454, 300, 13926, 12899, 4216, 21243, 609, 9102, 2575, 2250, 539, 5196, 621, 689, 14880, 3627, 8725, 779, 30546, 5991, 558, 3990, 968, 303, 3317, 625, 689, 24656, 892, 630, 16032, 22731, 14576, 1040, 3627, 8725, 630, 6245, 279, 268, 4198, 275, 1070, 513, 7074, 1977, 2575, 21917, 267, 5249, 607, 513, 32058, 626, 538, 1585, 519, 11596, 543, 607, 2575, 8689, 585, 7054, 1324, 12670, 269, 769, 476, 4572, 280, 267, 3627, 8725, 882, 11343, 547, 21035, 267, 4993, 267, 1141, 646, 2813, 7574, 1568, 585, 8874, 267, 1519, 519, 476, 4350, 277, 4670, 24282, 625, 689, 24656, 588, 18732, 29078, 595, 4592, 2421, 563, 6635, 11037, 3627, 8725, 4574, 454, 303, 21332, 267, 15182, 7605, 16535, 7732, 7736, 578, 618, 8750, 454, 14881, 267, 18320, 267, 7327, 3013, 7536, 299, 344, 7879, 676, 18999, 8725, 24806, 454, 24523, 676, 20152, 645, 4637, 454, 300, 1173, 15756, 645, 4637, 630, 4489, 274, 268, 3192, 273, 1070, 606, 1271, 3979, 12677, 21917, 267, 729, 1655, 1634, 585, 1200, 21769, 609, 519, 10564, 18999, 8725, 24806, 269, 769, 2487, 1296, 31869, 1326, 1144, 814, 1044, 2111, 547, 10536, 513, 8101, 4015, 540, 1200, 2575, 267, 19359, 543, 824, 4574, 1279, 2219, 4503, 269, 3371, 3254, 568, 513, 570, 307, 17668, 630, 1084, 528, 4557, 528, 18369, 18369, 264, 11460, 585, 9232, 296, 267, 18320, 2223, 519, 3791, 540, 519, 8422, 14134, 5800, 20137, 5152, 4783, 585, 5639, 543, 14440, 269, 6733, 585, 513, 8521, 5765, 14266, 10023, 519, 20152, 645, 4637, 14635, 563, 303, 21332, 267, 15182, 7605, 16535, 7732, 7736, 578, 618, 8750, 0, 27650, 2776, 1299, 5403, 5358, 16497, 454, 321, 24426, 828, 3772, 1107, 13012, 476, 274, 268, 276, 454, 1607, 9074, 6227, 454, 268, 1215, 547, 21028, 267, 2746, 543, 1867, 13311, 3346, 267, 11648, 610, 2392, 2218, 19326, 563, 268, 18227, 2123, 1344, 2922, 2228, 563, 268, 13786, 1043, 543, 16614, 7180, 950, 1210, 2792, 2029, 563, 268, 10341, 585, 2679, 2318, 3347, 609, 2828, 563, 268, 10289, 519, 1909, 540, 676, 1056, 619, 269, 0, 5978, 2960, 568, 519, 4102, 1418, 540, 938, 1560, 799, 14014, 938, 1560, 689, 5007, 2188, 899, 4551, 267, 6464, 267, 5533, 267, 4657, 19824, 267, 543, 2837, 269, 3776, 2960, 568, 3743, 585, 15725, 938, 1560, 779, 2837, 543, 585, 7175, 17915, 540, 5905, 5265, 269, 1703, 616, 1614, 2482, 525, 1459, 538, 707, 2960, 543, 1346, 616, 3134, 2273, 1069, 529, 267, 546, 1069, 529, 267, 543, 3834, 25866, 529, 269, 2353, 891, 6106, 616, 2356, 4299, 676, 1114, 2188, 602, 2014, 1114, 2960, 2042, 899, 4158, 9634, 267, 2960, 30919, 267, 32060, 267, 543, 2960, 2860, 563, 31262, 532, 540, 16164, 454, 306, 7219, 267, 1373, 519, 4102, 1418, 540, 519, 1560, 3252, 676, 2870, 513, 8825, 13104, 602, 14014, 621, 689, 1022, 7344, 267, 8143, 267, 543, 2168, 20015, 2478, 269, 2368, 540, 922, 3252, 616, 5018, 2630, 563, 268, 2659, 2960, 14014, 596, 689, 2348, 513, 2530, 540, 7509, 593, 707, 2960, 779, 2627, 563, 268, 634, 2960, 6411, 606, 513, 11064, 1063, 707, 2960, 6106, 543, 519, 5739, 3141, 2234, 9911, 269, 898, 14014, 721, 689, 519, 8801, 2360, 540, 11158, 288, 543, 11158, 289, 12345, 563, 268, 3776, 2960, 779, 3119, 1599, 568, 547, 1683, 14815, 676, 1373, 513, 10444, 1418, 269, 898, 3947, 721, 513, 4743, 540, 5905, 610, 14815, 563, 268, 898, 568, 5363, 538, 16326, 2837, 543, 849, 538, 15725, 1560, 2837, 563, 268, 2659, 2960, 568, 2111, 547, 1683, 596, 12046, 538, 2013, 540, 1022, 5945, 610, 23513, 5235, 563, 268, 2290, 540, 519, 2101, 3252, 540, 707, 2960, 568, 547, 3132, 12192, 667, 282, 607, 621, 814, 4550, 13611, 3601, 602, 2337, 538, 8156, 16698, 267, 30919, 267, 26253, 267, 3857, 559, 15282, 267, 18383, 267, 533, 574, 1255, 267, 512, 8911, 267, 543, 824, 2960, 2175, 563, 15008, 540, 16164, 700, 16558, 454, 2467, 616, 1614, 6106, 1459, 538, 707, 2960, 543, 1346, 616, 563, 268, 20615, 1069, 529, 281, 20615, 1069, 529, 568, 519, 1283, 4494, 540, 707, 2960, 602, 666, 581, 20109, 543, 2938, 269, 1717, 267, 519, 1292, 1599, 540, 713, 4494, 568, 547, 957, 607, 513, 8825, 13104, 543, 621, 849, 2488, 3106, 1996, 519, 4764, 543, 824, 6464, 269, 2368, 824, 3252, 540, 713, 4494, 1331, 3246, 2960, 2681, 267, 8165, 609, 17900, 543, 5563, 267, 3246, 2681, 547, 519, 2960, 267, 543, 2504, 540, 1007, 2960, 2281, 563, 268, 667, 1069, 529, 281, 667, 1069, 529, 568, 519, 1647, 4494, 540, 519, 2960, 602, 3112, 581, 20109, 610, 2938, 269, 901, 4494, 5161, 540, 20018, 543, 1714, 770, 514, 267, 799, 616, 3743, 585, 1818, 707, 2960, 13412, 543, 8465, 269, 898, 568, 5363, 538, 519, 1697, 2208, 540, 4552, 32235, 267, 5329, 519, 8229, 13364, 538, 5905, 609, 519, 9018, 2960, 267, 1818, 6190, 3282, 538, 519, 2960, 6106, 267, 2504, 540, 17570, 15374, 267, 543, 23478, 1973, 538, 519, 1973, 8043, 563, 268, 14523, 25866, 529, 281, 14523, 25866, 529, 568, 519, 5377, 4494, 540, 519, 2960, 269, 898, 568, 849, 1634, 607, 519, 9761, 4494, 540, 519, 2960, 269, 901, 4494, 814, 513, 3099, 540, 3252, 799, 1331, 8220, 519, 6106, 540, 2960, 547, 6091, 543, 7633, 543, 15725, 1560, 2837, 563, 14611, 20828, 540, 16164, 8752, 2287, 9615, 454, 763, 1292, 3483, 540, 2960, 1769, 2287, 2126, 568, 547, 1769, 523, 543, 6505, 523, 519, 18632, 2127, 1459, 593, 707, 2960, 269, 1717, 267, 930, 540, 519, 1292, 4128, 585, 2348, 891, 2960, 2000, 697, 2287, 5574, 616, 607, 5205, 563, 268, 16164, 1769, 2287, 2126, 10416, 2337, 538, 4227, 519, 1543, 540, 14264, 514, 20119, 538, 707, 2960, 563, 268, 898, 2337, 538, 4227, 519, 4158, 9634, 267, 10172, 7436, 267, 26711, 267, 5386, 3515, 267, 32060, 267, 543, 6477, 7695, 7436, 1459, 593, 707, 2960, 563, 268, 634, 2960, 1769, 2287, 2126, 11226, 538, 5355, 519, 2949, 9403, 543, 2960, 3159, 540, 707, 3068, 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 ]
[ 0, 6092, 5149, 281, 15328, 6193, 9710, 2928, 910, 19484, 519, 32148, 2806, 558, 5209, 692, 296, 269, 4985, 692, 290, 657, 6193, 16897, 267, 513, 24848, 516, 540, 16897, 5708, 267, 814, 6591, 1713, 20086, 1851, 4207, 3988, 543, 5640, 7567, 1813, 547, 922, 2189, 1935, 2509, 4250, 543, 11552, 848, 269, 9521, 2757, 16897, 6386, 602, 1419, 7048, 593, 16750, 2609, 971, 607, 15293, 338, 267, 30632, 2231, 267, 610, 941, 342, 11510, 267, 17184, 16897, 6212, 593, 16650, 23487, 6508, 689, 8103, 781, 1202, 20138, 766, 1996, 5318, 543, 3504, 17184, 9988, 269, 901, 1576, 1770, 12538, 883, 713, 4241, 7706, 267, 5373, 4296, 1063, 3140, 5931, 899, 1346, 5018, 538, 707, 2546, 21626, 543, 2413, 12496, 540, 17184, 9810, 780, 2862, 269, 8466, 25043, 540, 20096, 9710, 2928, 692, 2414, 1174, 17184, 16897, 4628, 267, 621, 568, 2629, 1101, 547, 5660, 519, 5072, 540, 575, 15402, 3332, 269, 24021, 538, 519, 476, 1240, 628, 2540, 267, 575, 15402, 5708, 4843, 4158, 4798, 1305, 1996, 1989, 574, 10080, 910, 10120, 21219, 267, 20807, 539, 544, 753, 687, 267, 610, 2062, 321, 5317, 8916, 269, 1452, 2038, 1568, 3964, 14908, 1869, 11342, 2221, 282, 12077, 267, 519, 16799, 1063, 4641, 543, 9345, 267, 1769, 543, 14334, 267, 2601, 543, 32408, 269, 22439, 971, 607, 28089, 30129, 26766, 267, 6307, 32264, 267, 543, 670, 10422, 11146, 8154, 3710, 2390, 891, 13210, 267, 9750, 873, 3564, 18714, 3520, 5558, 547, 7854, 31373, 14111, 6937, 780, 7656, 269, 17510, 540, 15328, 6193, 9710, 2928, 281, 24605, 11146, 8154, 1299, 661, 671, 761, 577, 2806, 558, 5209, 692, 1692, 731, 29928, 11146, 8154, 630, 6245, 271, 268, 4350, 278, 1070, 2808, 519, 4651, 540, 17184, 16897, 267, 5189, 721, 547, 1412, 292, 671, 761, 577, 2806, 558, 5209, 10086, 7919, 4171, 2470, 1219, 625, 1480, 8223, 269, 3571, 595, 628, 592, 16852, 19088, 657, 3126, 3788, 9565, 1256, 1631, 267, 25967, 1681, 875, 17866, 938, 9228, 2531, 514, 542, 936, 3047, 5963, 568, 269, 1635, 2870, 1875, 25993, 1355, 28749, 27507, 540, 6568, 610, 13919, 267, 11146, 8154, 512, 11474, 883, 2620, 5498, 730, 12194, 827, 938, 1747, 538, 519, 7122, 269, 1261, 6069, 606, 6228, 2484, 6569, 689, 10236, 12510, 878, 5784, 267, 11021, 3079, 602, 3425, 616, 6071, 1404, 628, 902, 538, 519, 3946, 540, 4608, 2130, 17184, 24587, 780, 4353, 269, 18567, 540, 15328, 6193, 9710, 2928, 692, 15703, 1883, 4162, 5581, 17184, 16897, 1384, 320, 269, 17607, 540, 519, 5606, 514, 2572, 2711, 8682, 281, 16992, 8275, 741, 14263, 9908, 1909, 538, 519, 6264, 10325, 540, 1919, 267, 1802, 1424, 7096, 4606, 540, 10072, 543, 21817, 563, 536, 269, 6348, 6953, 3861, 4165, 6782, 1235, 281, 11534, 7859, 16637, 6671, 8847, 540, 1272, 267, 23608, 689, 7516, 9813, 547, 938, 1378, 563, 524, 269, 7054, 16884, 640, 5288, 21929, 640, 281, 17217, 804, 10449, 609, 19450, 640, 950, 3197, 13720, 9259, 3564, 3621, 7778, 563, 546, 269, 5842, 640, 13809, 281, 1306, 3197, 20920, 609, 21016, 576, 22133, 18408, 267, 2790, 2736, 23957, 2049, 4749, 563, 552, 269, 22014, 1877, 3683, 11059, 281, 18140, 1646, 3217, 513, 1394, 10160, 547, 7099, 4259, 267, 10771, 23487, 543, 10462, 780, 309, 269, 12634, 4112, 32590, 540, 15328, 6193, 9710, 2928, 692, 9213, 267, 4589, 3136, 3695, 17184, 16897, 998, 1585, 23447, 267, 6220, 5626, 10848, 1247, 20808, 5929, 21050, 525, 269, 1280, 3236, 267, 15537, 3751, 781, 834, 763, 14730, 18975, 257, 3126, 10905, 14810, 267, 2257, 5708, 267, 543, 16897, 11964, 267, 9306, 513, 1617, 5744, 9808, 9853, 609, 5256, 14179, 550, 4229, 967, 27075, 547, 1480, 7092, 269, 6684, 267, 8874, 899, 681, 573, 2917, 8845, 781, 834, 23220, 9220, 639, 257, 5368, 614, 13133, 17184, 16897, 11617, 267, 26399, 6211, 16897, 609, 10952, 2055, 827, 5137, 543, 3483, 780, 9654, 269, 10390, 692, 1103, 3932, 267, 17184, 16897, 2488, 15417, 2666, 585, 2625, 532, 4909, 3344, 540, 9637, 267, 3961, 267, 543, 9019, 269, 4706, 11972, 9029, 6013, 538, 4101, 6899, 1978, 2906, 267, 11319, 9458, 547, 2243, 2436, 8103, 568, 4805, 29691, 519, 15796, 540, 1373, 269, 3414, 4974, 28138, 5931, 7258, 2413, 14624, 267, 649, 666, 1732, 9787, 1946, 891, 6386, 6414, 2066, 4529, 543, 5481, 267, 5356, 3407, 4030, 883, 1312, 5339, 5389, 543, 6000, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 294, 15402, 9710, 2928, 10374, 12267, 630, 6635, 551, 32203, 25839, 27405, 625, 543, 3057, 12069, 1948, 274, 994, 1607, 3946, 727, 23240, 934, 5034, 2182, 16225, 6770, 1927, 476, 2537, 669, 3739, 8941, 676, 19506, 575, 15402, 5830, 267, 1519, 28089, 30129, 26766, 267, 6307, 32264, 267, 15593, 573, 534, 2274, 27684, 340, 267, 11184, 19124, 8845, 543, 1082, 811, 563, 294, 15402, 5708, 7153, 538, 519, 476, 1240, 628, 2540, 267, 6444, 585, 922, 6926, 752, 543, 5609, 3563, 8916, 799, 24428, 796, 11499, 4229, 540, 9409, 269, 10705, 11786, 538, 741, 942, 267, 891, 2984, 14593, 519, 6302, 540, 1018, 729, 2009, 538, 5708, 543, 859, 12097, 796, 3553, 339, 1782, 4664, 607, 789, 5143, 741, 8941, 540, 12357, 4025, 267, 4503, 11580, 267, 543, 6727, 267, 26648, 5208, 563, 1607, 4015, 6770, 1927, 519, 1360, 1655, 1369, 519, 9135, 267, 10023, 1835, 22824, 28151, 267, 669, 3739, 3032, 1117, 23552, 267, 543, 20807, 539, 812, 832, 607, 741, 552, 24809, 5468, 269, 8111, 11499, 1768, 5558, 561, 24642, 1472, 1169, 7944, 563, 268, 634, 12096, 540, 519, 5600, 540, 2974, 615, 676, 28089, 30129, 26766, 454, 268, 634, 14117, 9931, 1790, 1653, 676, 23770, 3131, 9469, 16500, 2006, 454, 268, 645, 7967, 823, 676, 28089, 30129, 26766, 454, 268, 634, 769, 6665, 1043, 21756, 676, 6307, 32264, 454, 268, 570, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 9710, 2928, 1315, 15328, 6193, 9710, 2928, 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, 276, 281, 4197, 24747, 1975, 514, 543, 4706, 8177, 593, 27990, 18868, 692, 296, 269, 4985, 692, 1103, 519, 2361, 540, 16669, 4702, 267, 1620, 6174, 6384, 568, 1898, 547, 5355, 1312, 2773, 543, 3106, 269, 2290, 2565, 2460, 540, 6174, 6384, 568, 8868, 8095, 267, 799, 666, 3648, 1860, 875, 513, 6174, 31136, 896, 1585, 2175, 267, 971, 607, 10231, 543, 6117, 593, 31868, 2044, 7252, 269, 1635, 6313, 519, 5817, 3741, 540, 8868, 8095, 267, 8030, 666, 1374, 811, 3608, 543, 10930, 6472, 780, 2862, 269, 20223, 24747, 1975, 514, 692, 288, 269, 10417, 543, 6041, 454, 12640, 601, 8095, 568, 519, 7613, 1141, 513, 8868, 5170, 547, 17967, 5103, 9561, 1713, 20086, 609, 519, 4155, 2627, 269, 15380, 267, 8868, 8095, 568, 6027, 607, 513, 6871, 267, 1634, 607, 519, 8868, 8095, 5223, 267, 609, 2418, 8151, 689, 476, 272, 630, 2381, 2711, 20086, 264, 547, 476, 1911, 630, 10946, 3065, 20086, 1040, 634, 8868, 8095, 5223, 6920, 519, 8167, 540, 18165, 1373, 10299, 689, 519, 14743, 547, 519, 2666, 3379, 547, 519, 2698, 2139, 18165, 269, 589, 2539, 8868, 8095, 5223, 10522, 4389, 4398, 543, 2799, 10171, 540, 2530, 540, 1852, 780, 289, 269, 11957, 538, 519, 16669, 2872, 454, 763, 8868, 8095, 5223, 5713, 607, 606, 1271, 11973, 538, 519, 16669, 2872, 267, 7175, 9755, 547, 6218, 543, 5635, 519, 2773, 543, 7829, 4162, 540, 1114, 6472, 269, 1635, 7893, 543, 17306, 8868, 8095, 12753, 267, 8030, 666, 2087, 2949, 5397, 30221, 4398, 267, 2569, 12483, 5957, 267, 3986, 6617, 267, 543, 2327, 1732, 9920, 1852, 2066, 8795, 4155, 2175, 780, 7656, 269, 15486, 540, 24747, 1975, 514, 692, 2750, 947, 633, 1379, 3977, 267, 13385, 12483, 17945, 267, 543, 8801, 4365, 2175, 616, 1455, 2188, 7700, 547, 8868, 8095, 269, 1717, 267, 972, 616, 1808, 6127, 693, 1404, 3743, 585, 27510, 543, 31328, 8868, 8095, 269, 1452, 1331, 1384, 288, 269, 3683, 12741, 532, 519, 2139, 17945, 454, 2691, 513, 6174, 8942, 547, 5352, 811, 3196, 982, 922, 18646, 666, 3927, 10141, 547, 519, 4155, 2627, 267, 8868, 8095, 4386, 1813, 547, 4430, 1379, 269, 11790, 12018, 519, 2179, 540, 2139, 17945, 1331, 12483, 25500, 3270, 267, 2326, 267, 10637, 2604, 267, 3346, 15429, 1858, 267, 543, 11664, 540, 11508, 1063, 519, 12483, 543, 4155, 2627, 780, 289, 269, 8776, 4302, 27464, 454, 307, 528, 4302, 27464, 14340, 950, 2599, 18165, 4294, 19514, 569, 2059, 519, 19976, 7852, 540, 513, 4395, 2914, 31856, 5397, 6174, 2164, 538, 26516, 586, 1177, 8090, 269, 1403, 2451, 4608, 8091, 539, 267, 891, 8090, 949, 2014, 7050, 1379, 6771, 998, 1367, 9141, 14743, 267, 3056, 547, 8868, 8095, 269, 19296, 1590, 5402, 2015, 20022, 9511, 267, 5397, 1467, 3334, 267, 543, 11186, 6272, 547, 7413, 18165, 27464, 543, 2404, 8868, 8095, 4220, 780, 290, 269, 6215, 760, 7285, 543, 8970, 1359, 4229, 454, 20228, 760, 5086, 4564, 519, 16070, 3017, 1063, 513, 6174, 781, 4890, 4287, 540, 2951, 543, 922, 10066, 3448, 547, 519, 4155, 2627, 269, 1879, 513, 1286, 7858, 28179, 7140, 267, 14694, 4229, 9117, 2390, 519, 18646, 2333, 267, 4611, 538, 2362, 17277, 7285, 269, 2311, 1804, 2614, 17277, 7285, 267, 519, 2139, 17945, 11081, 267, 2810, 519, 1981, 540, 8868, 8095, 269, 7743, 669, 817, 529, 25122, 543, 12972, 11941, 948, 2226, 6099, 17277, 7285, 267, 10893, 8868, 8095, 21274, 1247, 21924, 7829, 7207, 780, 4353, 269, 12186, 540, 24747, 1975, 514, 593, 27990, 18868, 692, 12640, 601, 8095, 814, 1896, 6286, 585, 6174, 2623, 543, 4175, 1464, 1384, 288, 269, 25841, 8778, 633, 4674, 543, 4398, 454, 2026, 8868, 8095, 4679, 267, 1447, 540, 519, 6383, 18165, 2965, 4412, 1564, 519, 6174, 4464, 267, 32033, 2949, 8778, 633, 4674, 269, 5047, 267, 1648, 4503, 1813, 547, 8868, 8095, 18922, 883, 24906, 4492, 4616, 267, 4227, 3991, 7781, 4398, 269, 1677, 25559, 713, 267, 2413, 6472, 2308, 4359, 5397, 30221, 1949, 899, 3908, 1606, 28309, 1114, 10118, 267, 20086, 1852, 267, 543, 4550, 2000, 1442, 29584, 1949, 630, 5723, 306, 1070, 4180, 2500, 18165, 3892, 543, 19086, 11991, 9271, 780, 289, 269, 16842, 12483, 5957, 454, 2750, 947, 633, 8868, 8095, 5012, 547, 4028, 12483, 12159, 267, 2110, 2287, 741, 3028, 1272, 14320, 269, 570, 790, 9858, 8415, 1585, 7135, 543, 4070, 2553, 547, 3666, 15006, 543, 17945, 2157, 14013, 282, 2705, 267, 9013, 8868, 8095, 3788, 14063, 538, 8497, 12483, 8699, 543, 15325, 780, 290, 269, 13809, 540, 1852, 543, 16132, 454, 4462, 29051, 8868, 8095, 949, 1267, 538, 4049, 7829, 2152, 267, 1519, 936, 4614, 518, 543, 896, 4614, 518, 7653, 267, 5732, 28285, 538, 2347, 2530, 540, 6174, 1852, 269, 1635, 5883, 8868, 8095, 3927, 267, 10256, 543, 12747, 1949, 7567, 666, 2226, 5551, 24551, 267, 8190, 11878, 4313, 267, 543, 2327, 5003, 656, 3106, 780, 309, 269, 14600, 12720, 11150, 585, 2552, 13764, 24747, 1975, 514, 692, 8505, 558, 12067, 8030, 2936, 3875, 2994, 547, 10038, 8868, 8095, 267, 7393, 6174, 2773, 543, 3106, 269, 2368, 540, 891, 2409, 1331, 1384, 288, 269, 3004, 794, 1852, 1949, 630, 307, 5425, 994, 17457, 570, 5425, 946, 8596, 5464, 8868, 11250, 267, 555, 8527, 1479, 2990, 267, 543, 824, 4143, 6724, 547, 1110, 3634, 2599, 1379, 6475, 1227, 269, 16270, 16326, 31587, 8868, 8095, 267, 519, 1062, 6971, 18165, 6765, 267, 7303, 13311, 10047, 543, 4509, 7123, 20086, 780, 289, 269, 17290, 1606, 28309, 1114, 10118, 630, 11862, 291, 994, 3528, 12145, 519, 3432, 27753, 1063, 15852, 14743, 1369, 513, 9141, 4949, 548, 267, 700, 16256, 338, 15814, 18165, 14961, 267, 7551, 10893, 8868, 8095, 269, 15316, 2010, 540, 700, 16256, 338, 2291, 267, 971, 607, 804, 8553, 2861, 267, 1471, 32654, 23993, 267, 543, 10591, 15178, 1114, 10118, 267, 1142, 5356, 3982, 5383, 4470, 593, 3498, 4170, 780, 290, 269, 570, 790, 7623, 11938, 454, 25811, 619, 11179, 11441, 547, 13217, 12483, 7135, 267, 5275, 4824, 17945, 2157, 1510, 18731, 15006, 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 ]
[ 9042, 1510, 25640, 609, 17825, 9946, 267, 945, 616, 1287, 2451, 547, 26545, 1076, 547, 1265, 2081, 540, 13936, 519, 1587, 950, 621, 21128, 269, 623, 3420, 2084, 3790, 979, 1524, 267, 855, 519, 2754, 781, 2698, 3790, 949, 979, 909, 269, 6270, 4123, 32187, 616, 1455, 1765, 18485, 1369, 519, 6109, 543, 2066, 519, 3761, 5832, 563, 11045, 569, 20456, 5004, 538, 6657, 454, 4467, 3966, 625, 723, 2141, 1044, 2818, 540, 3761, 11800, 630, 528, 811, 8308, 267, 3761, 5121, 1040, 1924, 267, 596, 1522, 4898, 267, 834, 3963, 568, 3761, 5832, 2359, 1631, 6444, 607, 513, 3905, 1870, 1599, 286, 1548, 781, 1007, 8119, 6333, 1079, 4128, 912, 10048, 6162, 5051, 5431, 602, 4238, 543, 3761, 5832, 2359, 568, 519, 1871, 5137, 2599, 540, 1169, 3919, 269, 12861, 811, 6075, 1871, 982, 707, 30347, 568, 519, 1152, 1259, 547, 3094, 9157, 8013, 12959, 585, 519, 2295, 543, 2247, 540, 519, 6075, 563, 4467, 7065, 819, 568, 3478, 1256, 27162, 615, 269, 1306, 21025, 514, 8124, 22639, 8230, 24734, 7937, 2742, 324, 15091, 267, 596, 991, 513, 588, 784, 2319, 547, 14526, 281, 834, 4467, 3966, 625, 616, 1175, 4098, 547, 1451, 1018, 6082, 723, 2141, 1634, 281, 538, 513, 1950, 267, 7334, 1158, 4904, 609, 5906, 17837, 267, 621, 568, 1655, 711, 547, 979, 621, 4805, 4799, 306, 611, 569, 267, 1906, 3549, 723, 4121, 547, 1071, 268, 22056, 1871, 2066, 519, 3761, 5832, 269, 4107, 1810, 1405, 1491, 519, 2182, 960, 540, 2324, 1927, 12517, 269, 9105, 3054, 267, 834, 25898, 596, 8119, 6969, 596, 2626, 267, 2015, 519, 1739, 912, 7312, 6006, 3902, 3085, 1405, 979, 909, 1175, 1317, 596, 960, 609, 513, 3811, 18261, 610, 6075, 563, 7197, 267, 952, 711, 782, 540, 707, 14573, 267, 1445, 593, 519, 1934, 543, 1631, 20196, 568, 267, 875, 1134, 568, 707, 2754, 7900, 2221, 563, 2791, 1810, 1405, 723, 513, 2603, 540, 3063, 942, 547, 4603, 609, 1007, 1870, 3631, 269, 1411, 2811, 1932, 11112, 8380, 856, 4948, 11642, 547, 5855, 827, 5905, 344, 1922, 2465, 569, 5698, 563, 24916, 267, 596, 4440, 1810, 1405, 917, 875, 547, 12840, 269, 2991, 782, 267, 1870, 3506, 1810, 1405, 4001, 2620, 5698, 1983, 563, 763, 5377, 1899, 281, 18242, 5832, 2359, 568, 606, 6932, 9015, 269, 1284, 1869, 723, 513, 2603, 547, 1451, 269, 1548, 1281, 713, 1611, 585, 596, 286, 8382, 281, 6153, 3761, 5832, 9946, 616, 538, 1164, 3747, 2336, 23763, 547, 2119, 938, 3710, 2987, 10526, 888, 8196, 519, 32369, 9509, 7457, 7735, 547, 2744, 1569, 547, 713, 4879, 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 ]
[ 705, 564, 519, 5179, 3118, 540, 29506, 1125, 547, 707, 10352, 3586, 3448, 547, 827, 513, 16538, 4704, 269, 2201, 519, 1082, 1688, 267, 713, 7084, 786, 711, 581, 5097, 24735, 585, 513, 15743, 12187, 607, 621, 2220, 334, 3591, 543, 7140, 267, 10655, 922, 6980, 269, 634, 15743, 12187, 3085, 1406, 1205, 606, 9703, 14934, 14029, 2100, 630, 7474, 782, 540, 721, 917, 540, 264, 602, 666, 705, 564, 513, 3586, 10066, 543, 1683, 513, 4704, 28000, 540, 875, 519, 15743, 12187, 7140, 269, 7439, 1281, 621, 1205, 513, 6419, 22315, 602, 666, 9846, 1377, 5087, 269, 769, 1250, 16866, 11191, 540, 15743, 12187, 10122, 267, 519, 15743, 12187, 7140, 547, 5447, 519, 10352, 779, 3239, 609, 513, 1880, 1909, 593, 922, 3815, 538, 267, 2705, 621, 6499, 547, 5173, 1018, 602, 1909, 6499, 547, 581, 563, 763, 3791, 543, 14656, 4494, 540, 1250, 20533, 8849, 3060, 568, 519, 5179, 7721, 2821, 4494, 269, 634, 17016, 540, 519, 11409, 593, 713, 21225, 616, 1164, 7400, 5528, 585, 519, 15743, 12187, 779, 6091, 267, 10213, 519, 15743, 12187, 538, 799, 2619, 547, 16212, 269, 634, 15743, 12187, 849, 3096, 519, 3977, 540, 713, 21225, 547, 3589, 519, 12492, 540, 922, 723, 18902, 951, 593, 519, 17568, 540, 519, 10352, 779, 3239, 538, 922, 9015, 540, 5619, 543, 10311, 602, 15810, 1909, 9935, 269, 901, 21130, 14998, 519, 15743, 12187, 547, 705, 564, 519, 5179, 3118, 540, 29506, 1125, 547, 922, 10352, 2834, 267, 3448, 547, 519, 16538, 1158, 267, 607, 621, 4485, 563, 2005, 779, 2009, 602, 6211, 15743, 13219, 1205, 7960, 3063, 7405, 547, 7443, 609, 519, 9273, 4941, 585, 713, 12605, 269, 1306, 606, 3236, 267, 15743, 13219, 1205, 17216, 13473, 8596, 602, 2268, 26430, 32186, 782, 676, 8184, 607, 28426, 607, 2212, 32186, 3448, 547, 519, 26430, 1765, 604, 891, 8596, 616, 2879, 7026, 15792, 267, 519, 15743, 12187, 1522, 7654, 1134, 5173, 519, 12492, 540, 922, 5322, 593, 519, 10352, 779, 3239, 3020, 1631, 689, 519, 9300, 17016, 610, 9688, 835, 1797, 547, 512, 20557, 16327, 732, 519, 1082, 269, 594, 8959, 547, 581, 342, 3558, 883, 7156, 713, 5506, 538, 1250, 11191, 563, 2414, 1491, 513, 1413, 693, 713, 1614, 2000, 9707, 8849, 3060, 267, 594, 20533, 513, 15743, 12187, 543, 922, 10352, 267, 5473, 693, 519, 9838, 6991, 676, 476, 274, 8820, 15335, 269, 1306, 789, 12492, 865, 1250, 24018, 8849, 5991, 564, 1740, 2247, 968, 572, 525, 892, 519, 10352, 267, 21410, 519, 1305, 547, 7866, 705, 564, 519, 3239, 540, 519, 10352, 693, 513, 3586, 10182, 267, 543, 15920, 519, 8748, 5528, 547, 519, 6091, 269, 594, 1689, 883, 2899, 4712, 547, 6003, 602, 713, 2653, 812, 928, 23936, 540, 513, 15743, 12187, 779, 2247, 666, 6157, 6707, 18448, 824, 12961, 267, 1256, 10352, 4663, 532, 7258, 18761, 610, 10859, 268, 12690, 24551, 269, 634, 20533, 15743, 12187, 3085, 1406, 21230, 24044, 519, 1967, 8569, 540, 519, 6211, 15743, 12187, 267, 2705, 621, 849, 3085, 1406, 1205, 707, 3003, 5383, 630, 553, 606, 3236, 267, 20498, 10760, 6991, 264, 585, 799, 15743, 13219, 616, 4857, 563, 5415, 960, 568, 4941, 547, 8207, 2436, 713, 8849, 3060, 568, 632, 1249, 334, 6220, 707, 3003, 11580, 543, 12485, 540, 519, 15743, 12187, 779, 2247, 269, 12824, 693, 519, 20999, 24806, 11660, 4659, 779, 3967, 20782, 5530, 28941, 267, 538, 9098, 267, 1205, 2919, 8792, 1394, 335, 2931, 585, 15743, 13219, 602, 666, 2268, 5122, 6786, 689, 513, 15743, 12187, 779, 14221, 31942, 6466, 621, 568, 538, 8184, 543, 10141, 891, 1702, 585, 6268, 269, 634, 1394, 335, 2931, 616, 1507, 2614, 711, 547, 16297, 519, 15743, 12187, 689, 519, 6968, 269, 4982, 958, 267, 5778, 27023, 1235, 1522, 7654, 1134, 3758, 6786, 689, 1880, 1268, 11409, 538, 519, 15743, 12187, 779, 2247, 6466, 519, 5521, 568, 4371, 5163, 1652, 2705, 1500, 547, 632, 655, 621, 581, 5473, 676, 9306, 621, 609, 519, 8748, 3308, 10291, 267, 2870, 513, 15743, 12187, 8397, 5691, 1249, 563, 13434, 3581, 11907, 689, 891, 3292, 14998, 5778, 27023, 1235, 547, 19472, 15743, 12187, 2173, 785, 3457, 676, 9236, 741, 3635, 609, 3635, 3270, 540, 6211, 11409, 538, 606, 18512, 15743, 12187, 269, 2755, 649, 3580, 711, 2943, 3020, 1631, 2268, 1880, 1268, 4296, 1063, 11409, 538, 519, 15743, 12187, 2247, 267, 594, 543, 1250, 3523, 2209, 4927, 581, 4712, 547, 18505, 2436, 519, 15743, 12187, 779, 14221, 31942, 568, 1818, 9273, 28330, 547, 1346, 10567, 676, 1250, 10991, 8849, 3060, 269, 2334, 786, 20519, 8207, 2436, 4296, 538, 519, 15743, 12187, 2247, 18613, 1250, 3348, 531, 1529, 730, 12035, 538, 519, 8849, 3060, 269, 1284, 666, 23366, 7118, 2409, 538, 799, 938, 812, 928, 23936, 15320, 689, 519, 3169, 15743, 12187, 2247, 269, 3465, 636, 2406, 891, 3604, 786, 1683, 10881, 547, 519, 31930, 602, 519, 15743, 12187, 2247, 3217, 547, 20882, 909, 922, 9273, 563, 1607, 30618, 602, 19306, 6786, 689, 22809, 17332, 538, 513, 15743, 12187, 779, 2247, 1689, 883, 2899, 2813, 676, 20900, 28167, 267, 513, 2146, 6205, 693, 3967, 20782, 5530, 28941, 269, 2304, 628, 3415, 28167, 270, 13202, 20782, 5530, 28941, 26260, 295, 11085, 454, 291, 16400, 13219, 1522, 7654, 1134, 22281, 721, 2409, 547, 1747, 538, 2604, 968, 4621, 573, 3130, 892, 593, 513, 2780, 269, 1411, 9583, 917, 1018, 621, 4667, 899, 950, 707, 2247, 568, 693, 3276, 569, 7156, 267, 4625, 538, 519, 7997, 267, 10704, 593, 835, 7084, 547, 519, 1377, 602, 824, 19240, 2408, 547, 973, 27827, 2476, 269, 589, 15743, 12187, 666, 11338, 17122, 1377, 922, 7156, 269, 4706, 14221, 31942, 7140, 909, 519, 4320, 593, 6114, 547, 8763, 267, 27229, 6074, 267, 9072, 267, 1256, 950, 824, 12492, 762, 10352, 616, 2938, 538, 519, 9838, 9015, 540, 5619, 269, 898, 2306, 2631, 602, 1310, 513, 15743, 12187, 814, 5462, 547, 11654, 513, 8763, 10352, 267, 621, 1131, 620, 334, 1993, 23396, 9072, 14724, 952, 621, 814, 8959, 547, 1427, 847, 922, 1101, 13283, 269, 630, 1103, 824, 2453, 267, 519, 6165, 540, 6252, 12445, 547, 4782, 513, 7594, 786, 711, 581, 5363, 693, 519, 1482, 942, 607, 596, 4755, 547, 616, 1510, 8594, 26531, 8094, 8601, 519, 538, 4186, 549, 3200, 1043, 5168, 602, 649, 26699, 909, 12423, 602, 519, 15743, 12187, 6127, 585, 28068, 7156, 616, 1447, 10427, 982, 1346, 1004, 9688, 547, 17122, 1377, 782, 676, 513, 22125, 6995, 6300, 267, 621, 581, 2009, 602, 513, 1447, 7294, 2705, 6175, 20589, 7271, 786, 7866, 25368, 585, 1985, 12656, 1675, 6620, 543, 2780, 3292, 676, 5356, 5790, 7874, 2409, 547, 1167, 731, 20025, 11378, 454, 763, 5383, 540, 4974, 519, 15743, 12187, 2247, 12492, 711, 26699, 609, 8966, 6620, 282, 789, 3580, 1256, 1205, 606, 6003, 593, 3292, 1106, 269, 22900, 12187, 4064, 616, 2879, 7026, 267, 2324, 693, 519, 3160, 540, 476, 1220, 14604, 829, 476, 273, 323, 281, 2334, 568, 513, 3003, 2603, 540, 2053, 519, 6991, 540, 1480, 5075, 269, 16480, 741, 8901, 3375, 568, 26483, 632, 915, 539, 267, 7654, 3020, 513, 1298, 525, 2711, 540, 602, 540, 519, 1480, 3815, 538, 269, 8431, 1005, 856, 875, 519, 15743, 12187, 6968, 338, 865, 6707, 267, 28000, 540, 922, 8792, 15392, 5759, 267, 666, 2303, 2409, 540, 8888, 3063, 5790, 7874, 3292, 269, 22034, 519, 23828, 3491, 339, 1254, 2361, 267, 519, 15743, 12187, 3236, 5267, 602, 938, 17059, 1170, 850, 3292, 609, 2879, 7026, 9804, 15392, 1522, 7654, 1134, 2154, 1447, 8901, 3375, 547, 5734, 513, 2832, 563, 763, 15743, 12187, 786, 711, 581, 5097, 519, 1034, 2653, 5521, 602, 666, 1134, 1397, 8849, 27780, 5962, 2780, 1106, 713, 1554, 269, 3933, 1105, 17984, 22109, 11212, 12675, 9883, 267, 519, 6165, 540, 930, 17916, 15859, 547, 22132, 741, 15322, 693, 519, 8748, 942, 540, 1032, 543, 547, 2212, 538, 519, 17501, 2619, 269, 1284, 917, 602, 16313, 338, 7048, 593, 519, 4584, 548, 540, 519, 3141, 267, 2705, 10188, 676, 519, 3141, 3340, 25137, 7747, 540, 519, 942, 540, 1554, 269, 769, 2013, 596, 616, 513, 18173, 16144, 5045, 267, 17831, 616, 596, 3580, 1134, 7654, 7287, 519, 3141, 585, 707, 2451, 538, 519, 6640, 2705, 585, 707, 3020, 538, 519, 12784, 269, 1924, 267, 547, 9015, 922, 2619, 267, 519, 18173, 2247, 1590, 593, 2272, 540, 713, 5168, 1224, 922, 723, 27266, 11733, 543, 3575, 602, 6119, 609, 1018, 621, 568, 3168, 693, 563, 26452, 7786, 267, 1175, 899, 519, 19300, 4673, 9390, 1884, 267, 1590, 28532, 585, 5594, 12675, 9883, 269, 1306, 4166, 607, 513, 2707, 540, 32351, 568, 669, 2331, 593, 267, 713, 1884, 3085, 1406, 8806, 1427, 15869, 922, 3268, 5000, 547, 519, 9566, 267, 9583, 513, 5547, 748, 2619, 269, 1306, 513, 10682, 621, 21410, 606, 31302, 8905, 5000, 269, 1280, 519, 24117, 602, 17568, 540, 606, 1884, 779, 1426, 2707, 11941, 689, 1554, 547, 1554, 267, 621, 1616, 609, 513, 7500, 547, 581, 342, 3558, 883, 535, 762, 519, 2619, 621, 3576, 593, 922, 25061, 695, 28984, 267, 9256, 3308, 6119, 609, 930, 9703, 2268, 540, 3845, 14612, 267, 1310, 799, 454, 20412, 622, 922, 2132, 8905, 689, 1346, 973, 565, 27928, 563, 4407, 1100, 1268, 568, 6857, 540, 1018, 8849, 11387, 538, 519, 9390, 1884, 1711, 713, 7084, 267, 3173, 693, 519, 3967, 20782, 5530, 28941, 1205, 17019, 8849, 11387, 602, 1450, 519, 4829, 8038, 547, 454, 1345, 11399, 1304, 519, 6165, 540, 3308, 21056, 269, 634, 9390, 1884, 543, 16313, 18173, 9583, 9688, 2147, 6127, 269, 6270, 8849, 11387, 1522, 7654, 1134, 538, 930, 5667, 29347, 1881, 942, 538, 519, 2104, 7866, 5363, 538, 267, 5639, 267, 1970, 20589, 19025, 563, 4517, 1018, 952, 519, 4398, 540, 5521, 27780, 5962, 19106, 568, 971, 602, 7366, 540, 5215, 540, 8320, 540, 891, 17216, 13473, 2188, 1522, 7654, 1256, 581, 3432, 538, 6252, 547, 3986, 3063, 5393, 2500, 1702, 4393, 610, 3684, 4974, 286, 2904, 829, 4960, 1256, 519, 1985, 24488, 313, 3266, 6451, 7366, 540, 5215, 540, 1884, 3697, 25061, 25121, 547, 13217, 922, 7328, 2921, 851, 538, 286, 3465, 636, 2406, 7786, 786, 5000, 513, 6216, 8966, 1974, 540, 5904, 602, 22401, 1360, 3875, 689, 1018, 649, 723, 713, 1554, 269, 589, 1507, 4108, 540, 15743, 12187, 17942, 4003, 6438, 6620, 568, 1034, 1034, 9583, 9808, 559, 547, 705, 564, 606, 3750, 6378, 593, 5473, 4773, 540, 606, 31768, 6288, 28201, 267, 10018, 532, 602, 1880, 1268, 6472, 12492, 711, 2458, 728, 630, 23251, 3907, 1639, 899, 21804, 23376, 741, 16996, 264, 1256, 538, 519, 1576, 540, 606, 9120, 2705, 13858, 7544, 563, 5591, 1268, 568, 6857, 540, 1018, 519, 1985, 1974, 540, 5904, 786, 22401, 899, 267, 2436, 610, 711, 789, 3580, 581, 3296, 268, 1097, 321, 3073, 15274, 610, 21438, 2959, 13747, 899, 21469, 1306, 574, 990, 779, 5564, 643, 659, 269, 19452, 267, 1100, 835, 666, 16616, 1018, 5097, 519, 1034, 2653, 2619, 547, 3395, 891, 5867, 786, 27167, 269, 2755, 3173, 2919, 2038, 8849, 5121, 5373, 6667, 689, 519, 1480, 2247, 267, 713, 1554, 779, 10991, 8849, 5121, 2357, 19935, 7048, 593, 4956, 569, 796, 28090, 3697, 9273, 269, 15531, 856, 519, 9273, 540, 1880, 1268, 11409, 538, 6211, 8849, 11387, 1765, 520, 519, 476, 273, 323, 14724, 3020, 1631, 2009, 538, 1875, 16058, 3292, 1765, 4754, 1205, 3063, 547, 16455, 721, 269, 24538, 338, 267, 621, 4992, 607, 952, 2653, 2705, 2357, 19935, 1561, 321, 762, 538, 1018, 789, 3580, 12492, 267, 1205, 13747, 547, 1118, 7418, 547, 519, 2097, 540, 1985, 12656, 1675, 5904, 267, 3648, 607, 23798, 5635, 5170, 547, 5397, 538, 519, 4287, 540, 513, 4514, 2324, 856, 540, 875, 6211, 8849, 11387, 960, 563, 3383, 1985, 942, 596, 3406, 606, 5521, 3257, 1945, 647, 1511, 267, 7866, 11341, 547, 519, 1860, 585, 707, 1142, 1554, 1272, 693, 519, 1482, 942, 607, 596, 4755, 547, 1205, 519, 7920, 4398, 540, 513, 1507, 4108, 540, 8792, 15743, 12187, 267, 18173, 267, 610, 1884, 12058, 693, 707, 12871, 269, 12344, 5904, 540, 519, 12675, 3432, 786, 2285, 8966, 602, 10522, 547, 519, 942, 18134, 968, 327, 633, 4555, 2223, 609, 2220, 15767, 540, 5393, 17216, 13473, 2705, 8626, 27274, 5790, 7874, 14263, 9908, 21932, 267, 4712, 547, 581, 11028, 29664, 323, 543, 18611, 3168, 593, 519, 10279, 693, 1688, 269, 2060, 519, 8441, 1373, 1500, 538, 23798, 713, 1554, 267, 713, 3100, 532, 14810, 568, 1034, 1034, 9583, 683, 13145, 547, 1249, 982, 596, 14353, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24903, 723, 606, 1256, 8273, 1764, 593, 1453, 1813, 547, 519, 1249, 602, 621, 666, 2049, 476, 2190, 270, 278, 269, 15536, 11648, 666, 1291, 547, 519, 1482, 4539, 607, 1022, 824, 1106, 540, 11648, 281, 4965, 267, 29047, 2623, 267, 6219, 6057, 267, 15639, 267, 3284, 4331, 267, 3092, 563, 9213, 267, 585, 1082, 1453, 267, 1514, 2923, 1272, 814, 1831, 811, 1271, 982, 519, 1483, 835, 269, 901, 29695, 1689, 5012, 547, 606, 5393, 5906, 6521, 538, 519, 1453, 779, 20369, 3832, 281, 789, 896, 7407, 1272, 269, 4475, 267, 621, 568, 938, 10279, 607, 3237, 547, 1118, 2386, 602, 938, 1453, 1174, 602, 1169, 1272, 568, 10475, 543, 602, 1169, 1126, 814, 519, 1318, 547, 581, 2922, 563, 12901, 517, 1470, 2871, 4068, 332, 1315, 1744, 13616, 18450, 2593, 454, 22546, 338, 540, 11648, 585, 519, 4439, 569, 454, 4415, 782, 602, 1373, 1767, 267, 1577, 779, 711, 7340, 602, 13032, 625, 849, 7985, 689, 930, 13249, 11648, 4539, 269, 769, 1034, 2665, 267, 519, 1739, 2360, 540, 11648, 593, 519, 4439, 569, 2049, 1317, 789, 1810, 1406, 1745, 610, 1174, 519, 7182, 540, 7608, 1514, 2623, 912, 268, 6219, 6057, 3248, 268, 12402, 547, 642, 663, 16117, 543, 24515, 3248, 268, 21177, 856, 540, 1153, 3248, 268, 2038, 4638, 2534, 543, 2362, 8458, 540, 5254, 17762, 3248, 268, 2348, 513, 7803, 1686, 538, 15296, 3248, 268, 4742, 29880, 4724, 741, 4891, 267, 10130, 267, 543, 1256, 1453, 563, 3849, 6699, 723, 547, 8275, 602, 1453, 4439, 569, 585, 513, 2601, 269, 4634, 952, 789, 798, 621, 585, 1187, 610, 7682, 532, 17282, 267, 972, 779, 2141, 513, 1454, 4514, 2601, 3297, 741, 2623, 269, 898, 1223, 581, 6469, 5208, 538, 519, 1126, 779, 1920, 267, 610, 741, 3237, 949, 581, 3075, 13982, 338, 269, 4475, 267, 2864, 982, 32107, 873, 630, 6518, 676, 519, 1259, 4679, 519, 4220, 540, 519, 4330, 2360, 1070, 621, 568, 1271, 547, 26003, 1125, 543, 2119, 547, 948, 971, 1453, 563, 23409, 293, 1752, 2289, 3930, 1315, 1744, 13616, 18450, 2593, 454, 2171, 4126, 596, 1336, 713, 1344, 3730, 267, 543, 1631, 1174, 1312, 5011, 540, 11648, 513, 2370, 3787, 1732, 269, 1284, 849, 4126, 602, 713, 2376, 786, 948, 596, 547, 5431, 519, 4191, 540, 11648, 711, 1152, 538, 707, 1453, 267, 855, 849, 1256, 538, 1866, 269, 2913, 779, 10826, 519, 2486, 779, 29695, 2068, 256, 0, 25238, 690, 645, 924, 10644, 281, 18227, 8866, 543, 17268, 15822, 2008, 30631, 7392, 281, 16989, 5358, 2008, 9359, 5384, 281, 476, 278, 281, 876, 6751, 454, 17484, 5384, 281, 476, 279, 281, 1428, 6751, 454, 9336, 2915, 814, 519, 1761, 547, 11116, 269, 476, 275, 269, 276, 2929, 1004, 538, 519, 2475, 616, 3787, 1084, 676, 5243, 1169, 1032, 267, 2356, 689, 513, 2915, 789, 917, 269, 26133, 26519, 543, 2623, 22639, 18281, 10515, 335, 7637, 786, 2491, 6786, 5243, 946, 547, 5968, 789, 1745, 13943, 543, 1522, 11116, 267, 875, 547, 6707, 4383, 1126, 1673, 690, 4205, 267, 543, 9073, 4079, 1419, 1118, 950, 27459, 2358, 269, 2701, 786, 849, 2491, 1018, 3214, 1058, 798, 952, 513, 9490, 2915, 4485, 267, 1018, 547, 798, 952, 707, 2915, 814, 513, 11116, 1686, 267, 543, 1683, 2489, 4388, 3025, 1058, 917, 269, 1403, 596, 616, 513, 4116, 267, 513, 2385, 267, 610, 2576, 945, 22595, 513, 2915, 267, 713, 6881, 568, 585, 596, 269, 8249, 786, 581, 3177, 543, 972, 786, 581, 942, 585, 1627, 26031, 1310, 519, 6881, 269, 30318, 585, 6502, 476, 1321, 266, 563, 19613, 281, 5358, 18740, 589, 5174, 454, 23086, 281, 14667, 9410, 454, 303, 6974, 518, 281, 18281, 10515, 335, 7637, 267, 8713, 291, 307, 11860, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9266, 3206, 543, 1114, 2686, 4282, 543, 865, 593, 269, 1280, 519, 4633, 957, 3069, 267, 594, 3494, 972, 616, 1533, 1919, 267, 29943, 2495, 543, 16122, 2495, 563, 23458, 11601, 4016, 547, 513, 1126, 779, 11601, 540, 1010, 3993, 11469, 282, 875, 519, 1126, 1965, 547, 1174, 543, 3717, 519, 1893, 540, 1010, 544, 29774, 269, 5753, 1451, 3993, 11469, 998, 32649, 543, 11268, 282, 1453, 666, 10536, 1893, 267, 585, 789, 616, 4535, 609, 1893, 4620, 775, 282, 1776, 1271, 3815, 568, 5872, 1063, 1453, 779, 1915, 543, 519, 1604, 1472, 873, 269, 634, 1646, 540, 1453, 779, 17133, 814, 1390, 3310, 593, 741, 1893, 11601, 267, 610, 547, 2161, 789, 12497, 1125, 519, 1919, 1472, 873, 4543, 519, 1646, 540, 741, 1893, 11601, 269, 4438, 519, 2208, 540, 1453, 741, 13093, 1108, 267, 6863, 267, 8239, 543, 31544, 2702, 1020, 7930, 269, 1717, 267, 1282, 713, 4393, 267, 972, 616, 1079, 1271, 12018, 2188, 269, 2290, 568, 2565, 942, 267, 1310, 799, 1453, 786, 1353, 7444, 610, 666, 2760, 10536, 269, 634, 824, 568, 1604, 563, 13553, 1893, 11601, 454, 13553, 1893, 11601, 4016, 547, 519, 9836, 1353, 540, 875, 835, 1268, 4203, 2231, 513, 2034, 1893, 7766, 547, 1010, 5065, 1893, 269, 14579, 1893, 568, 711, 6697, 547, 2034, 1893, 267, 585, 2034, 1893, 568, 1031, 538, 1153, 267, 5604, 267, 543, 3232, 1272, 16310, 10529, 685, 3993, 11469, 269, 1717, 267, 10529, 685, 3993, 11469, 814, 5383, 543, 11393, 7506, 269, 7201, 5383, 7506, 267, 5065, 10529, 666, 5659, 3604, 1063, 3993, 11469, 543, 3077, 1658, 0, 21946, 655, 654, 3558, 8154, 2558, 10118, 538, 634, 14265, 24862, 676, 14880, 16019, 910, 30561, 654, 3558, 8154, 2558, 10118, 538, 634, 14265, 24862, 676, 14880, 269, 901, 1557, 8942, 547, 4308, 609, 519, 15435, 540, 269, 654, 3558, 8154, 693, 30561, 769, 476, 15433, 273, 267, 562, 31106, 27142, 941, 2322, 547, 2669, 538, 30561, 267, 12590, 269, 634, 2601, 585, 24235, 729, 519, 8731, 618, 540, 7141, 3042, 6690, 676, 269, 30561, 654, 3558, 2558, 10118, 2165, 4574, 2139, 693, 14136, 14430, 2593, 267, 519, 4102, 1863, 2165, 1957, 2146, 269, 634, 654, 9662, 540, 30561, 269, 1261, 1131, 711, 581, 14281, 952, 519, 31783, 6603, 1256, 20991, 982, 729, 16143, 8347, 634, 1715, 3840, 518, 585, 1152, 513, 13362, 513, 3018, 269, 30561, 654, 3558, 8154, 2558, 10118, 4828, 4828, 5999, 5261, 29965, 5441, 4828, 7412, 1975, 5217, 9085, 5623, 2201, 4856, 8306, 769, 19168, 269, 10749, 593, 519, 2892, 655, 18338, 8062, 910, 4734, 3297, 1346, 19492, 20439, 17334, 1603, 707, 1867, 609, 938, 4081, 1603, 6351, 5440, 10097, 543, 3318, 269, 654, 3558, 8154, 1557, 910, 4039, 4192, 4828, 1656, 3194, 7433, 5675, 543, 3798, 1746, 19534, 269, 1714, 9626, 605, 2758, 1557, 269, 5695, 940, 538, 2892, 655, 18338, 585, 803, 811, 982, 2479, 1354, 563, 2237, 513, 476, 276, 268, 1015, 4828, 593, 875, 519, 2442, 3239, 540, 30561, 568, 1114, 982, 519, 4890, 640, 27085, 30561, 654, 3558, 8154, 2558, 10118, 282, 30561, 654, 3558, 8154, 2558, 10118, 269, 3967, 476, 1321, 628, 267, 476, 1001, 278, 269, 590, 580, 14024, 275, 5158, 269, 589, 5903, 2986, 2271, 3419, 5224, 21261, 894, 4828, 11762, 2201, 30561, 654, 3558, 2558, 10118, 269, 769, 606, 12819, 1557, 596, 1058, 6318, 7440, 547, 1489, 513, 1880, 2856, 269, 634, 30561, 654, 3558, 2558, 10118, 540, 476, 15433, 273, 769, 7810, 12590, 1063, 5988, 540, 476, 15433, 273, 543, 2904, 540, 476, 3422, 274, 936, 835, 4627, 543, 15823, 1004, 941, 18486, 543, 269, 4828, 5999, 1280, 634, 30561, 654, 3558, 2558, 10118, 14572, 519, 25491, 540, 519, 30561, 654, 3558, 2558, 10118, 968, 27269, 519, 2250, 568, 10694, 607, 513, 1797, 547, 2161, 1945, 827, 269, 634, 30561, 654, 3558, 8154, 8062, 538, 12590, 1282, 476, 15433, 273, 8507, 538, 562, 31106, 17608, 2367, 543, 2021, 1373, 554, 6548, 267, 835, 812, 20399, 547, 2669, 267, 543, 538, 519, 7972, 269, 654, 3558, 8154, 543, 922, 4317, 17959, 654, 3558, 8154, 568, 621, 1483, 610, 568, 621, 19511, 286, 901, 2243, 568, 835, 602, 814, 1044, 593, 519, 2247, 540, 12206, 585, 1296, 269, 654, 3558, 8154, 568, 269, 634, 14265, 24862, 4828, 12910, 476, 272, 269, 634, 14265, 24862, 4828, 654, 3558, 8154, 538, 30561, 305, 659, 3559, 269, 634, 14265, 24862, 4828, 269, 6168, 269, 25873, 2835, 282, 13505, 15682, 282, 6168, 2480, 1026, 323, 282, 20821, 519, 2319, 269, 30561, 654, 3558, 2558, 10118, 4828, 910, 11879, 10749, 269, 13782, 622, 5530, 2871, 3187, 3298, 269, 11879, 10749, 269, 949, 723, 15748, 543, 9663, 1492, 1042, 519, 30561, 31783, 1642, 4288, 10756, 290, 13072, 281, 12005, 21806, 540, 654, 3558, 8154, 538, 513, 30561, 22810, 269, 30561, 267, 12590, 538, 476, 15433, 272, 729, 519, 1753, 540, 513, 8830, 11939, 2146, 609, 513, 7453, 5837, 3009, 269, 769, 1840, 547, 519, 269, 589, 4015, 540, 2592, 267, 6054, 267, 3594, 267, 7851, 267, 6402, 267, 3756, 267, 543, 824, 1344, 17640, 547, 519, 30561, 654, 3558, 2558, 10118, 540, 476, 15433, 273, 269, 901, 1863, 3778, 1557, 593, 654, 3558, 8154, 568, 3501, 585, 3778, 1053, 547, 946, 607, 606, 1383, 3331, 363, 634, 1292, 10751, 585, 31783, 729, 11056, 269, 30561, 654, 3558, 2558, 10118, 269, 3367, 713, 16700, 3250, 10389, 4828, 543, 936, 476, 10436, 267, 1822, 824, 1382, 6054, 269, 30561, 654, 3558, 2558, 10118, 269, 634, 1032, 568, 476, 15433, 273, 519, 1747, 568, 30561, 12590, 1753, 540, 519, 4583, 30561, 269, 10749, 593, 519, 2892, 655, 18338, 8062, 910, 6732, 4828, 5675, 19534, 910, 5192, 6435, 2060, 5440, 268, 26660, 5675, 25849, 906, 2060, 11588, 12333, 4828, 5675, 543, 3798, 1746, 563, 307, 527, 956, 1280, 30561, 654, 3558, 2558, 10118, 4828, 4828, 281, 634, 30561, 654, 3558, 8154, 2558, 10118, 269, 634, 30561, 654, 3558, 8154, 8062, 538, 12590, 1282, 476, 15433, 273, 8507, 538, 562, 31106, 269, 24766, 304, 4828, 268, 30561, 654, 3558, 339, 7434, 338, 689, 670, 8780, 476, 9873, 272, 693, 14161, 654, 684, 22385, 29447, 670, 590, 269, 30561, 654, 3558, 2558, 10118, 24766, 304, 769, 519, 476, 8182, 271, 338, 267, 17557, 10271, 1634, 607, 269, 30561, 654, 3558, 8154, 901, 1557, 30561, 654, 3558, 8154, 568, 2139, 585, 596, 593, 10749, 2190, 2593, 256, 9612, 12910, 14430, 267, 5441, 4828, 6201, 543, 5131, 10749, 593, 10749, 2190, 2593, 1547, 30561, 654, 3558, 8154, 538, 476, 15433, 273, 281, 589, 269, 1215, 1677, 3503, 589, 3194, 7433, 2201, 634, 30561, 654, 3558, 2558, 10118, 14997, 2329, 19877, 4828, 11762, 3194, 7433, 13445, 14313, 769, 269, 30561, 18338, 4693, 1557, 910, 19837, 31277, 267, 3594, 1299, 4081, 4574, 540, 1283, 2298, 269, 5192, 3323, 609, 2165, 1957, 1603, 543, 2328, 519, 1655, 1557, 2479, 14190, 519, 269, 4828, 20081, 1069, 1957, 281, 30561, 18338, 8062, 4828, 267, 2165, 1957, 267, 1382, 1957, 281, 3778, 17713, 523, 267, 595, 1421, 654, 3558, 8154, 693, 30561, 269, 7179, 539, 538, 476, 2735, 278, 269, 717, 7867, 747, 267, 918, 269, 5062, 10111, 20321, 1143, 269, 15486, 2986, 634, 30561, 654, 3558, 14958, 2558, 10118, 4828, 269, 2755, 519, 1863, 3594, 666, 2285, 596, 6667, 585, 1603, 267, 789, 3112, 581, 1031, 1412, 553, 568, 262, 1317, 789, 786, 711, 2743, 707, 563, 763, 4583, 30561, 31783, 8062, 3459, 607, 519, 6690, 3459, 547, 2012, 811, 543, 811, 269, 476, 736, 1004, 543, 476, 273, 5243, 941, 13401, 585, 519, 6760, 540, 31783, 538, 30561, 269, 30561, 18338, 8062, 4828, 269, 21824, 540, 8061, 559, 2914, 832, 327, 6235, 543, 31783, 25626, 998, 30561, 267, 12590, 267, 899, 513, 20575, 269, 4438, 519, 1296, 540, 476, 15433, 273, 543, 476, 15433, 274, 269, 4828, 769, 519, 3209, 634, 14265, 24862, 676, 14880, 16019, 1082, 7526, 1404, 606, 1271, 3693, 538, 519, 4729, 540, 519, 1650, 17796, 585, 654, 3558, 8154, 538, 30561, 281, 1323, 20615, 2438, 269, 634, 30561, 654, 3558, 2558, 10118, 630, 1839, 2798, 264, 476, 273, 269, 3503, 707, 5098, 3948, 269, 2659, 5098, 1058, 1533, 513, 1249, 827, 1686, 543, 1533, 707, 2856, 827, 519, 1249, 269, 634, 269, 634, 30561, 654, 3558, 2558, 10118, 267, 540, 476, 15433, 273, 267, 7018, 538, 30561, 12590, 269, 901, 568, 513, 2013, 1141, 1004, 15034, 824, 1004, 540, 31783, 269, 30561, 729, 513, 4884, 18170, 676, 269, 3367, 713, 1977, 3778, 4828, 543, 936, 476, 10436, 267, 1822, 824, 1382, 6054, 269, 634, 30561, 654, 3558, 2558, 10118, 281, 5517, 610, 11470, 269, 634, 30561, 654, 3558, 2558, 10118, 281, 5517, 610, 11470, 1977, 269, 3143, 654, 3558, 8154, 1280, 22312, 10749, 3143, 654, 3558, 8154, 1280, 22312, 10749, 1715, 3840, 6264, 22850, 1749, 7084, 1603, 3028, 3382, 4484, 1876, 804, 17064, 1806, 1603, 606, 1557, 897, 3518, 807, 563, 8698, 543, 4647, 2892, 655, 18338, 8062, 3594, 269, 1411, 666, 849, 1265, 824, 3730, 1344, 899, 14592, 267, 5098, 6898, 267, 5705, 641, 923, 267, 543, 2200, 1644, 547, 2892, 655, 269, 634, 30561, 654, 3558, 8154, 14430, 32040, 520, 574, 3690, 18587, 540, 519, 7040, 19475, 769, 1614, 12531, 269, 3798, 1243, 676, 6754, 15196, 518, 543, 15537, 715, 1170, 523, 29231, 20707, 7167, 334, 4964, 281, 1715, 3840, 269, 1772, 713, 519, 3501, 1557, 585, 596, 286, 16440, 942, 543, 1931, 654, 3558, 28755, 325, 628, 1107, 519, 30561, 654, 3558, 2558, 10118, 1557, 11049, 585, 1152, 1269, 1321, 269, 280, 829, 2985, 269, 5440, 9344, 543, 2298, 16798, 269, 30561, 654, 3558, 8154, 2558, 10118, 14288, 4828, 269, 7433, 2073, 11352, 267, 610, 12143, 21976, 269, 1280, 713, 1557, 267, 596, 786, 946, 1570, 593, 713, 3896, 281, 30561, 654, 3558, 8154, 2558, 10118, 269, 901, 568, 513, 2013, 1141, 1004, 15034, 824, 1004, 540, 31783, 269, 30561, 729, 513, 4884, 18170, 676, 763, 2892, 655, 18338, 8062, 1557, 910, 16797, 543, 6325, 12591, 689, 2872, 269, 30561, 654, 3558, 2558, 10118, 4828, 269, 30561, 22810, 1185, 513, 1360, 10477, 1686, 1354, 519, 4583, 18338, 8062, 269, 898, 729, 711, 4010, 1634, 607, 513, 536, 770, 542, 540, 22471, 650, 640, 538, 1715, 4789, 563, 21946, 655, 654, 3558, 2558, 10118, 4828, 30561, 654, 3558, 2558, 10118, 543, 936, 824, 476, 2918, 267, 1822, 266, 1863, 2165, 4574, 267, 3594, 543, 1382, 4574, 1806, 616, 2139, 593, 519, 3896, 269, 1323, 1557, 593, 2413, 6377, 834, 342, 3558, 6968, 338, 257, 1223, 1331, 1022, 4245, 602, 649, 607, 513, 2486, 723, 4121, 689, 519, 30561, 18338, 8062, 269, 6201, 540, 2413, 6377, 834, 342, 3558, 6968, 338, 269, 3194, 7433, 1280, 30561, 654, 3558, 2558, 10118, 30561, 20895, 4828, 634, 30561, 654, 3558, 8154, 14430, 32040, 520, 574, 3690, 18587, 540, 519, 7040, 19475, 10932, 7433, 11762, 2201, 269, 5131, 634, 30561, 654, 3558, 2558, 10118, 4574, 267, 3594, 267, 543, 1382, 4574, 269, 654, 3558, 8154, 901, 4828, 654, 3558, 8154, 543, 824, 476, 8618, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 5623, 32487, 2593, 269, 4201, 528, 269, 634, 30561, 18338, 8062, 941, 513, 3126, 540, 5873, 902, 543, 21991, 1903, 540, 1004, 15034, 540, 31783, 538, 7810, 12590, 1063, 5988, 476, 15433, 273, 543, 2904, 476, 15433, 274, 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 ]
[ 14692, 2275, 8463, 6316, 540, 513, 31914, 658, 28594, 14137, 568, 7363, 20218, 865, 602, 621, 2798, 5087, 543, 568, 6252, 547, 519, 10047, 7852, 540, 519, 1109, 24618, 269, 2334, 568, 267, 621, 568, 20916, 547, 519, 8880, 693, 606, 1109, 4120, 1109, 7474, 11224, 519, 1109, 26245, 3363, 1109, 1993, 519, 31914, 658, 779, 4087, 269, 2311, 1459, 267, 971, 513, 28594, 14137, 1058, 3976, 1448, 3592, 10502, 693, 1109, 303, 6897, 529, 267, 607, 713, 568, 1369, 513, 4110, 540, 519, 3345, 1109, 4897, 17155, 15393, 780, 4002, 930, 31914, 10118, 267, 519, 28594, 14137, 568, 7299, 269, 1452, 941, 2356, 1031, 538, 5449, 2053, 585, 11287, 519, 1109, 5306, 3363, 1109, 1993, 519, 1109, 26422, 267, 2523, 950, 593, 519, 1109, 1067, 22941, 269, 634, 2511, 568, 519, 851, 540, 519, 28594, 14137, 602, 5641, 338, 519, 14692, 269, 901, 666, 1689, 607, 519, 3141, 7575, 269, 1280, 1383, 267, 519, 5580, 7178, 6316, 540, 519, 28594, 14137, 1522, 581, 519, 2511, 538, 519, 6640, 543, 519, 5580, 7532, 6316, 1522, 581, 519, 2511, 538, 519, 12784, 780, 288, 1614, 8820, 28594, 14137, 568, 4122, 1031, 538, 1109, 21020, 30548, 1109, 26367, 12449, 1109, 553, 606, 5351, 547, 17568, 3615, 538, 519, 1109, 341, 23709, 1158, 269, 1635, 15007, 267, 519, 2473, 7852, 4287, 568, 11954, 2699, 267, 519, 962, 7852, 3039, 543, 519, 2098, 7852, 4544, 780, 22498, 1109, 770, 1258, 2246, 338, 1031, 513, 28594, 14137, 607, 513, 26278, 1907, 547, 5815, 2199, 7299, 543, 547, 4159, 513, 2681, 5750, 950, 789, 941, 2324, 593, 519, 9855, 779, 2627, 780, 2162, 769, 2442, 2528, 692, 1103, 519, 1433, 1109, 763, 18975, 693, 519, 7736, 540, 519, 2622, 1109, 2421, 1109, 289, 2784, 853, 4459, 1633, 267, 513, 9649, 1109, 339, 1077, 30548, 6094, 24383, 2490, 856, 547, 581, 519, 28594, 14137, 540, 513, 9649, 31914, 658, 269, 634, 6532, 519, 13486, 568, 1336, 593, 568, 1419, 1572, 968, 294, 333, 14137, 6816, 892, 780, 763, 1109, 294, 333, 14137, 540, 12142, 4149, 592, 335, 823, 1109, 1231, 728, 519, 5939, 540, 1109, 306, 5593, 590, 592, 335, 823, 1109, 514, 1109, 13640, 529, 267, 5333, 267, 3710, 547, 4217, 538, 8159, 519, 4266, 540, 1109, 292, 2120, 267, 729, 14070, 1242, 607, 513, 968, 305, 846, 7412, 892, 538, 519, 3209, 1109, 763, 20707, 30058, 8943, 16804, 276, 6540, 288, 28594, 14137, 568, 1031, 14165, 1227, 538, 8176, 5800, 529, 779, 3209, 1109, 300, 7539, 540, 7284, 656, 529, 780, 2162, 14272, 17084, 22108, 692, 26123, 6406, 3074, 692, 2162, 634, 1323, 857, 757, 685, 4197, 540, 22966, 17155, 18868, 998, 18639, 267, 681, 3770, 267, 543, 8682, 268, 19138, 692, 2690, 5553, 267, 3504, 12977, 723, 1044, 19832, 609, 519, 5322, 540, 519, 18477, 4703, 267, 3226, 519, 3141, 543, 519, 7599, 269, 1358, 723, 4767, 519, 9979, 692, 2419, 1258, 984, 5735, 692, 16821, 0, 258, 30027, 748, 4834, 1535, 1341, 586, 910, 476, 276, 815, 476, 271, 476, 273, 343, 910, 586, 910, 272, 815, 476, 271, 692, 338, 31190, 9876, 1923, 11819, 1923, 630, 25583, 476, 274, 264, 3447, 1807, 9622, 7978, 692, 16829, 593, 692, 2791, 991, 547, 4194, 585, 1535, 543, 586, 519, 1062, 540, 21800, 4834, 267, 8754, 267, 596, 949, 946, 17594, 1505, 267, 971, 602, 1384, 319, 18950, 343, 1341, 586, 815, 476, 276, 32140, 273, 343, 910, 586, 815, 476, 272, 2567, 348, 18092, 1535, 1341, 586, 1341, 476, 273, 343, 910, 586, 815, 476, 276, 1341, 476, 272, 26384, 305, 14445, 532, 26134, 2818, 11729, 1384, 319, 274, 343, 815, 476, 277, 18092, 1535, 815, 476, 273, 26384, 3725, 680, 5217, 476, 273, 585, 1535, 538, 1022, 540, 1079, 4834, 11729, 1384, 319, 273, 1341, 586, 815, 476, 276, 18092, 586, 815, 476, 276, 910, 476, 273, 18092, 586, 815, 476, 274, 26384, 17798, 267, 10442, 519, 1062, 540, 21800, 4834, 267, 1210, 17594, 1505, 267, 11729, 2387, 343, 815, 476, 273, 267, 586, 815, 476, 274, 269, 26384, 326, 1640, 326, 10005, 3192, 277, 1923, 5441, 11819, 1923, 630, 25583, 476, 274, 264, 4406, 539, 1112, 20187, 692, 16829, 593, 692, 2171, 3513, 556, 2914, 1679, 519, 4834, 1384, 343, 1341, 586, 815, 476, 276, 692, 273, 343, 910, 586, 815, 476, 272, 692, 2171, 3513, 946, 519, 5119, 547, 4194, 519, 1062, 269, 1284, 3513, 1106, 519, 5119, 540, 519, 1062, 267, 1210, 519, 14170, 540, 1535, 543, 586, 1384, 314, 272, 13725, 476, 272, 6540, 288, 25883, 314, 273, 3396, 1741, 910, 272, 6540, 2171, 3513, 5173, 519, 24572, 540, 519, 1062, 1384, 30956, 288, 815, 910, 272, 910, 476, 273, 815, 910, 274, 692, 7712, 1033, 589, 568, 711, 4642, 267, 519, 1062, 568, 1999, 3990, 543, 621, 786, 723, 1152, 835, 3070, 780, 343, 815, 1033, 2473, 7933, 564, 288, 692, 347, 276, 13725, 476, 272, 347, 692, 30956, 2473, 1109, 284, 692, 347, 272, 3396, 1741, 910, 272, 347, 692, 30956, 311, 815, 910, 276, 910, 476, 272, 815, 910, 277, 692, 343, 815, 1033, 2473, 7933, 564, 288, 692, 343, 815, 910, 277, 25773, 274, 692, 343, 815, 476, 273, 692, 2171, 3513, 5173, 586, 1384, 347, 272, 13725, 476, 276, 347, 692, 30956, 962, 25883, 347, 273, 3396, 1741, 476, 272, 347, 692, 30956, 962, 815, 476, 272, 910, 476, 1015, 692, 30956, 962, 815, 910, 280, 692, 344, 815, 1033, 312, 7933, 564, 288, 692, 344, 815, 910, 280, 25773, 274, 692, 344, 815, 476, 274, 692, 763, 3070, 540, 519, 1062, 568, 281, 630, 273, 2073, 476, 274, 6393, 2023, 903, 276, 4343, 1923, 9906, 267, 7201, 12392, 1923, 630, 25583, 476, 272, 264, 4406, 539, 1112, 20187, 692, 16829, 593, 692, 763, 1305, 540, 4834, 1535, 1341, 586, 910, 476, 276, 815, 476, 271, 543, 476, 273, 343, 910, 586, 910, 272, 815, 476, 271, 814, 547, 581, 12193, 780, 5804, 1535, 1341, 586, 910, 476, 276, 815, 476, 271, 649, 666, 2769, 1535, 538, 2474, 540, 586, 607, 1535, 815, 476, 276, 910, 586, 692, 27802, 3482, 585, 1535, 538, 476, 273, 343, 910, 586, 910, 476, 272, 815, 476, 271, 692, 273, 263, 276, 910, 586, 264, 910, 586, 910, 476, 272, 815, 476, 271, 692, 1015, 910, 476, 273, 344, 910, 586, 910, 476, 272, 815, 476, 271, 692, 268, 274, 344, 815, 910, 280, 692, 344, 815, 476, 274, 692, 343, 815, 476, 276, 910, 586, 815, 476, 276, 910, 476, 274, 815, 476, 273, 692, 763, 3070, 540, 519, 2016, 1062, 540, 4834, 568, 1535, 815, 476, 273, 543, 586, 815, 476, 274, 692, 310, 580, 6265, 5655, 1923, 9906, 267, 7201, 12392, 1923, 630, 25583, 476, 273, 264, 4406, 539, 1112, 20187, 692, 16829, 593, 692, 263, 272, 264, 1535, 1341, 586, 910, 476, 276, 815, 476, 271, 454, 263, 273, 264, 476, 273, 343, 910, 586, 910, 476, 272, 815, 476, 271, 692, 11754, 552, 336, 630, 272, 264, 543, 552, 336, 630, 273, 994, 274, 343, 910, 476, 277, 815, 476, 271, 692, 3086, 922, 513, 2582, 4756, 1966, 543, 596, 666, 4194, 585, 1535, 269, 623, 29888, 713, 1871, 1394, 883, 835, 540, 519, 3312, 4834, 543, 4194, 585, 586, 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 ]
[ 563, 289, 16078, 24156, 729, 849, 16516, 547, 581, 13401, 11728, 3781, 282, 646, 267, 1932, 267, 1185, 1044, 11292, 513, 3251, 676, 519, 1533, 10966, 7040, 269, 634, 4291, 1903, 941, 1305, 585, 713, 3923, 1317, 23916, 262, 3761, 540, 4571, 1794, 565, 600, 1163, 2231, 593, 2904, 476, 272, 563, 11900, 20445, 2161, 10690, 11268, 540, 891, 5712, 814, 1044, 606, 7199, 1966, 1317, 621, 849, 2636, 1004, 547, 3014, 519, 1062, 269, 1809, 1256, 952, 25743, 1832, 3843, 547, 2097, 547, 2474, 593, 513, 14207, 267, 789, 2811, 2469, 547, 1832, 2468, 6137, 936, 519, 1482, 1966, 563, 19185, 693, 873, 607, 789, 2451, 519, 3028, 267, 835, 1131, 1589, 602, 519, 1079, 616, 1869, 6535, 656, 1227, 3238, 609, 1142, 824, 269, 634, 834, 15506, 2006, 834, 17076, 25778, 3022, 1010, 3210, 519, 1482, 1554, 267, 11021, 513, 20291, 1847, 547, 1439, 741, 7365, 993, 545, 2406, 563, 11386, 5851, 1631, 7028, 2789, 3755, 454, 11386, 1767, 2789, 268, 12528, 1489, 786, 5066, 856, 2221, 538, 519, 2136, 2276, 2073, 543, 538, 519, 2136, 8003, 538, 519, 834, 5765, 3275, 2668, 5565, 4374, 2663, 543, 649, 2811, 1631, 1565, 602, 5616, 568, 8380, 602, 4183, 883, 741, 834, 11386, 5851, 257, 3457, 2073, 607, 540, 2221, 563, 306, 11170, 1782, 1772, 1723, 5654, 585, 4960, 547, 1291, 28925, 547, 18710, 454, 3719, 1325, 12534, 334, 5651, 1092, 18188, 28925, 1377, 1586, 538, 519, 476, 6795, 628, 267, 543, 519, 533, 2167, 564, 1562, 6854, 11319, 2394, 1772, 1723, 2121, 1540, 519, 4619, 528, 1547, 1772, 1723, 781, 1101, 3804, 729, 513, 24077, 21088, 4674, 538, 519, 476, 1704, 628, 547, 22599, 856, 13660, 16660, 10515, 781, 1930, 518, 585, 22505, 532, 4586, 763, 1763, 30029, 2986, 8693, 7827, 9324, 658, 1656, 14640, 454, 2171, 1930, 909, 519, 5213, 7219, 5755, 9553, 538, 25429, 32108, 267, 543, 693, 519, 1482, 942, 2161, 602, 649, 616, 2469, 547, 798, 1945, 827, 2916, 1689, 269, 1280, 1082, 267, 519, 15292, 6763, 585, 811, 982, 513, 2241, 17431, 1996, 519, 1699, 7245, 781, 4507, 563, 2419, 3530, 28856, 16393, 2142, 631, 1638, 532, 513, 6519, 5600, 14840, 454, 297, 1783, 932, 3530, 28856, 781, 3375, 711, 547, 3343, 556, 3887, 3005, 834, 571, 2478, 2055, 257, 827, 2436, 6739, 18966, 814, 13897, 593, 1864, 269, 1306, 930, 723, 7074, 267, 519, 18096, 5041, 11208, 568, 6679, 909, 538, 476, 1708, 271, 267, 543, 1223, 581, 519, 16101, 932, 3530, 28856, 1631, 814, 1010, 3750, 593, 563, 19859, 7809, 717, 1115, 681, 573, 540, 10426, 6919, 2060, 25439, 6178, 454, 4913, 267, 676, 14874, 18538, 7357, 267, 9786, 568, 2965, 1818, 519, 11064, 547, 2845, 1231, 1256, 10156, 267, 585, 1732, 610, 8338, 269, 5213, 1405, 5855, 952, 596, 6336, 707, 6049, 630, 528, 621, 568, 4666, 264, 1317, 2630, 2272, 1129, 910, 1231, 267, 596, 666, 849, 4945, 834, 8196, 10426, 5320, 3079, 8487, 292, 5183, 11394, 547, 3541, 841, 30749, 540, 5755, 1379, 2030, 5533, 454, 8310, 3018, 16501, 23070, 8845, 623, 745, 8636, 9307, 646, 1131, 27682, 15525, 268, 5028, 3652, 12145, 1216, 5533, 689, 1379, 2371, 269, 26689, 1067, 3459, 9427, 1291, 9762, 3133, 730, 3037, 689, 1079, 2127, 538, 519, 623, 2812, 523, 8378, 910, 513, 16749, 27513, 543, 620, 2917, 3297, 519, 670, 563, 296, 337, 1324, 8464, 476, 4391, 267, 28533, 338, 3180, 593, 547, 10726, 623, 659, 619, 476, 14056, 268, 9340, 454, 1607, 814, 3983, 29298, 585, 519, 623, 659, 619, 543, 741, 2104, 267, 543, 1058, 581, 2014, 585, 15372, 585, 519, 28533, 338, 607, 1134, 269, 1358, 17411, 741, 1870, 543, 4465, 1776, 1753, 3014, 547, 1930, 741, 1101, 15778, 3126, 1996, 519, 623, 659, 619, 563, 300, 20667, 23193, 10965, 520, 2583, 8891, 13928, 689, 4993, 5851, 454, 9515, 3773, 1352, 4718, 834, 342, 564, 267, 1360, 2312, 267, 1804, 30392, 16493, 257, 2059, 519, 2619, 547, 741, 1753, 543, 19481, 513, 1906, 12772, 540, 1973, 676, 741, 7450, 269, 8191, 885, 616, 1443, 2358, 7264, 547, 5150, 741, 9885, 543, 9486, 267, 607, 811, 982, 3368, 540, 4993, 568, 7823, 17794, 7226, 563, 24154, 1407, 1390, 338, 948, 8661, 6679, 540, 1007, 6129, 307, 6412, 5244, 454, 291, 545, 4486, 630, 866, 264, 1568, 538, 519, 1101, 538, 940, 540, 513, 13836, 3014, 1996, 519, 5842, 17630, 22087, 637, 2073, 14349, 267, 4989, 476, 1428, 267, 476, 1001, 278, 2073, 538, 24611, 1547, 1548, 646, 1522, 711, 723, 23125, 593, 267, 2705, 267, 729, 875, 1082, 13366, 646, 1131, 723, 593, 519, 782, 6066, 1101, 338, 1592, 693, 6129, 307, 6412, 5244, 269, 0, 306, 32606, 281, 7338, 715, 1513, 532, 327, 543, 10496, 638, 5202, 17578, 2967, 454, 4322, 3764, 941, 9275, 593, 476, 278, 5437, 3248, 1721, 1776, 4528, 267, 979, 547, 519, 796, 4944, 7505, 3764, 454, 763, 717, 3073, 5362, 5188, 568, 2407, 540, 6560, 267, 24895, 267, 543, 1256, 6937, 540, 5208, 269, 4595, 649, 723, 29860, 883, 519, 1647, 540, 621, 267, 4515, 269, 670, 8553, 8657, 4956, 547, 1865, 519, 2621, 1991, 547, 938, 1448, 540, 7127, 269, 634, 5188, 3322, 1614, 954, 32643, 12781, 630, 294, 3073, 5362, 267, 2717, 639, 267, 543, 11910, 2873, 264, 945, 4163, 609, 873, 741, 1378, 7440, 269, 3962, 5180, 3587, 24482, 3476, 543, 811, 4909, 607, 519, 1985, 954, 32643, 12460, 3217, 513, 811, 9097, 2990, 982, 519, 3105, 835, 269, 8616, 267, 18573, 568, 2111, 547, 4323, 891, 7440, 609, 811, 9097, 4831, 7440, 269, 1358, 616, 1142, 1031, 547, 21843, 1945, 602, 18573, 2219, 729, 4636, 538, 519, 12721, 2245, 540, 2069, 563, 3674, 20215, 729, 513, 4207, 540, 18573, 945, 1305, 909, 513, 13927, 1790, 11691, 9872, 540, 2362, 2069, 1369, 519, 1101, 4557, 1296, 1310, 24198, 685, 2669, 269, 901, 1131, 1747, 621, 538, 519, 1101, 8717, 540, 519, 476, 275, 628, 2540, 269, 1772, 20215, 10645, 547, 4001, 2048, 874, 3342, 4451, 685, 602, 729, 16922, 540, 1603, 3594, 267, 543, 18531, 267, 1565, 20116, 267, 1686, 267, 543, 5339, 9880, 269, 26023, 267, 646, 6026, 513, 2048, 7809, 685, 23408, 6437, 269, 4841, 21783, 609, 519, 1379, 547, 23666, 2104, 12820, 543, 519, 1857, 563, 5522, 6737, 729, 15372, 539, 693, 519, 1249, 602, 1772, 20215, 1305, 909, 606, 9872, 543, 10645, 547, 4001, 2048, 874, 3342, 4451, 685, 607, 646, 729, 711, 513, 2875, 540, 24198, 269, 769, 3210, 547, 18573, 779, 29383, 267, 1772, 20215, 5206, 513, 4633, 1572, 4165, 573, 2670, 693, 519, 1439, 540, 1010, 1272, 538, 1931, 547, 4323, 18573, 779, 1935, 547, 2069, 543, 6138, 267, 799, 849, 29846, 1010, 1378, 2990, 269, 17127, 2663, 15527, 547, 713, 4633, 676, 1603, 519, 12833, 2787, 547, 13898, 269, 634, 717, 3073, 5362, 28420, 519, 1686, 540, 31195, 1063, 519, 1079, 3506, 540, 6138, 269, 1772, 20215, 729, 513, 2875, 540, 717, 3073, 5362, 543, 849, 606, 23723, 1014, 269, 1924, 267, 519, 1918, 13920, 538, 713, 5188, 568, 606, 4082, 540, 1918, 13920, 1063, 18573, 543, 1772, 20215, 269, 769, 519, 15180, 1935, 540, 1772, 20215, 267, 519, 4116, 13290, 547, 6655, 2799, 1379, 547, 519, 2875, 998, 2792, 269, 1703, 568, 2705, 1100, 4674, 547, 2087, 519, 2875, 779, 1379, 607, 513, 5837, 14544, 269, 4841, 7390, 1362, 609, 741, 26069, 5805, 600, 1441, 1175, 607, 2413, 17864, 798, 711, 723, 547, 1780, 513, 1449, 540, 8699, 563, 1103, 519, 5188, 267, 519, 1101, 954, 32643, 12460, 267, 717, 3073, 5362, 267, 568, 1500, 547, 16153, 602, 646, 11129, 547, 4001, 513, 2875, 16495, 952, 621, 568, 15877, 269, 9747, 267, 646, 17591, 338, 1010, 2990, 269, 10678, 519, 4339, 538, 513, 22545, 719, 269, 2717, 639, 1287, 23362, 13290, 547, 20882, 519, 6093, 1448, 540, 2070, 602, 519, 2489, 946, 540, 1379, 568, 547, 2333, 707, 4690, 2864, 982, 1831, 1732, 269, 901, 568, 606, 4277, 4661, 585, 799, 24198, 814, 513, 9490, 2626, 547, 269, 634, 4661, 3322, 513, 4514, 6514, 540, 519, 2418, 5018, 538, 519, 10815, 518, 26194, 5362, 269, 2717, 639, 568, 5555, 7142, 547, 2285, 909, 1010, 4661, 267, 543, 568, 2451, 1510, 513, 23319, 607, 547, 875, 646, 4503, 269, 901, 568, 513, 1455, 12136, 538, 519, 19929, 609, 24198, 563, 24445, 2873, 267, 519, 3791, 954, 32643, 12460, 267, 20475, 519, 1360, 9097, 2070, 602, 1582, 22325, 267, 610, 1582, 268, 698, 6588, 526, 1125, 618, 568, 711, 1152, 1018, 568, 1655, 585, 519, 1367, 267, 855, 1018, 568, 1318, 585, 2486, 269, 901, 2070, 28837, 519, 2247, 540, 519, 18211, 7095, 1212, 539, 269, 476, 4366, 278, 322, 2488, 721, 609, 513, 1592, 540, 2828, 609, 7247, 11910, 2873, 1514, 3278, 269, 1656, 1258, 267, 945, 568, 1459, 538, 5019, 698, 23768, 476, 25628, 322, 267, 1185, 513, 5067, 945, 6594, 609, 1772, 20215, 269, 1452, 941, 519, 11344, 6107, 540, 23723, 1014, 2486, 945, 2219, 621, 729, 8886, 908, 602, 741, 1378, 1362, 729, 15949, 3022, 827, 676, 519, 1082, 269, 4634, 1498, 23723, 1014, 2486, 729, 1360, 552, 6549, 9107, 267, 972, 11478, 513, 1582, 23655, 5580, 1362, 269, 11910, 2873, 685, 7778, 540, 519, 1434, 1272, 568, 5921, 547, 581, 606, 18211, 7095, 267, 23731, 1105, 673, 1448, 540, 2070, 602, 18573, 7947, 338, 563, 1103, 3695, 11910, 2873, 685, 2990, 267, 18573, 21314, 547, 798, 513, 1906, 1919, 8195, 912, 272, 269, 1261, 28837, 18531, 538, 519, 2511, 540, 1772, 20215, 267, 855, 20546, 525, 1864, 269, 1703, 616, 1279, 11141, 18531, 609, 21755, 543, 1272, 693, 519, 4098, 540, 713, 3296, 540, 519, 5188, 269, 5637, 616, 3833, 10388, 267, 543, 621, 568, 2182, 547, 917, 799, 4633, 547, 581, 7479, 12184, 676, 2390, 1101, 2542, 269, 18573, 779, 17720, 5578, 568, 10423, 1934, 563, 273, 269, 1261, 7710, 513, 1978, 17748, 540, 12257, 269, 18573, 568, 2111, 547, 2263, 519, 2856, 602, 606, 1367, 1058, 798, 1018, 7959, 1434, 585, 1864, 563, 274, 269, 1261, 7710, 513, 19619, 540, 1644, 4798, 827, 11007, 543, 18367, 1145, 269, 11910, 2873, 2829, 602, 519, 2601, 519, 824, 1079, 630, 294, 3073, 5362, 543, 2717, 639, 264, 4503, 741, 7440, 547, 24198, 729, 1317, 789, 941, 1932, 19849, 21724, 547, 2995, 519, 5168, 267, 543, 646, 4667, 547, 581, 2953, 269, 1306, 538, 519, 2013, 540, 1325, 322, 756, 328, 3547, 267, 607, 1279, 607, 646, 729, 1500, 547, 1745, 11849, 3139, 267, 621, 1223, 581, 3254, 602, 1018, 568, 25432, 1434, 568, 1100, 1114, 982, 7674, 835, 779, 1378, 4690, 563, 2171, 666, 1294, 602, 11910, 2873, 24482, 11198, 338, 689, 519, 4901, 607, 646, 3587, 811, 3444, 267, 543, 13110, 540, 1373, 795, 17064, 539, 1472, 269, 1261, 568, 18825, 945, 568, 5921, 547, 1397, 875, 30299, 596, 723, 547, 581, 547, 2226, 971, 513, 1582, 7266, 1042, 3069, 269, 18573, 849, 6499, 547, 1397, 875, 1454, 11910, 2873, 814, 547, 2285, 909, 538, 1931, 547, 581, 5812, 609, 1010, 5837, 5784, 269, 2311, 519, 1439, 540, 519, 5188, 585, 519, 1101, 942, 649, 1265, 513, 7242, 602, 3947, 513, 5837, 2601, 585, 799, 18573, 7959, 865, 9244, 827, 563, 30267, 269, 670, 8553, 8657, 1287, 6410, 593, 547, 519, 3877, 540, 519, 4901, 269, 898, 5956, 609, 930, 2144, 5328, 795, 665, 651, 3539, 1063, 24198, 543, 11910, 2873, 269, 18573, 19528, 602, 24198, 14560, 6138, 267, 1247, 11910, 2873, 14560, 24886, 519, 15624, 269, 11910, 2873, 1287, 3081, 602, 649, 1058, 581, 811, 695, 600, 6804, 267, 543, 21040, 713, 883, 513, 2489, 1237, 321, 566, 540, 513, 2178, 1863, 6891, 602, 568, 796, 8455, 1194, 676, 7409, 1431, 610, 4031, 269, 1261, 14753, 827, 4173, 8163, 945, 729, 3564, 1876, 543, 13919, 630, 4366, 274, 324, 1040, 24198, 593, 519, 824, 1688, 267, 568, 17814, 607, 1373, 513, 1647, 27070, 15730, 269, 901, 729, 513, 9880, 540, 18573, 779, 1053, 676, 1772, 20215, 945, 5433, 602, 1010, 10752, 1705, 711, 948, 1053, 538, 519, 3544, 1158, 563, 763, 2318, 2427, 547, 11910, 2873, 568, 602, 646, 4843, 513, 6822, 10631, 633, 2856, 269, 769, 1249, 267, 621, 5828, 856, 547, 581, 9565, 593, 26179, 715, 30964, 267, 945, 729, 513, 2663, 14544, 543, 513, 1390, 8106, 16159, 269, 1261, 3357, 547, 3858, 609, 11910, 2873, 685, 3239, 540, 24198, 538, 717, 3073, 5362, 267, 543, 22309, 782, 3652, 602, 3160, 1125, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1448, 693, 630, 272, 267, 476, 273, 21663, 589, 269, 645, 269, 595, 269, 586, 815, 476, 273, 343, 1341, 476, 272, 667, 269, 670, 842, 476, 1321, 269, 1403, 835, 1850, 540, 513, 1318, 6906, 568, 476, 1704, 269, 273, 4699, 543, 519, 824, 1850, 568, 476, 2420, 269, 276, 4699, 267, 1018, 568, 519, 3259, 540, 519, 30494, 286, 589, 269, 476, 2420, 269, 276, 4699, 645, 269, 476, 4375, 269, 278, 4699, 595, 269, 476, 2764, 269, 274, 4699, 667, 269, 476, 277, 269, 274, 4699, 670, 842, 476, 1724, 269, 4855, 519, 10974, 540, 1448, 631, 952, 590, 8987, 275, 267, 476, 276, 264, 568, 519, 30268, 540, 543, 519, 10974, 540, 623, 616, 11196, 279, 267, 476, 279, 1040, 589, 269, 630, 271, 267, 910, 273, 264, 645, 269, 630, 271, 267, 476, 273, 264, 595, 269, 11196, 273, 267, 476, 271, 264, 667, 269, 630, 277, 267, 3738, 670, 842, 476, 1691, 269, 1280, 519, 6169, 3254, 267, 1683, 3948, 476, 274, 269, 589, 269, 7131, 815, 31246, 645, 269, 9474, 815, 22601, 595, 269, 9474, 815, 7131, 667, 269, 9474, 815, 31246, 670, 842, 476, 1428, 269, 1280, 519, 6169, 3254, 267, 1683, 519, 2601, 585, 851, 546, 269, 589, 269, 9502, 540, 18827, 645, 269, 6641, 13240, 16296, 32372, 264, 595, 269, 9502, 540, 513, 1899, 667, 269, 9502, 540, 21412, 12415, 670, 842, 476, 1626, 269, 769, 519, 4605, 267, 543, 616, 7299, 269, 1403, 1287, 1018, 568, 589, 269, 476, 2764, 645, 269, 476, 14341, 595, 269, 476, 3445, 667, 269, 476, 10037, 670, 842, 476, 1704, 269, 6904, 6292, 540, 12730, 2982, 674, 21203, 1627, 11965, 676, 519, 589, 3008, 14497, 286, 589, 269, 645, 269, 595, 269, 667, 269, 670, 842, 476, 1240, 269, 1548, 568, 519, 1871, 540, 1142, 540, 519, 1079, 5011, 6587, 519, 21412, 7285, 538, 519, 6906, 3182, 3293, 286, 589, 269, 476, 4375, 645, 269, 476, 4037, 595, 269, 476, 1428, 667, 269, 476, 2767, 670, 842, 476, 866, 269, 8745, 519, 3959, 602, 1175, 5809, 952, 513, 2999, 536, 267, 1287, 513, 1341, 524, 2999, 536, 1341, 524, 269, 589, 269, 18948, 16296, 645, 269, 18827, 16296, 595, 269, 25513, 16296, 667, 269, 3690, 1438, 16296, 670, 842, 476, 736, 269, 6904, 1899, 10126, 538, 519, 4605, 3254, 568, 519, 13074, 286, 589, 269, 645, 269, 595, 269, 667, 269, 670, 842, 0, 31580, 6435, 692, 15697, 15397, 1681, 1772, 634, 31418, 5006, 267, 4107, 8779, 7232, 8997, 10158, 1280, 4841, 1677, 5192, 634, 6435, 1358, 10261, 24269, 1358, 10261, 898, 780, 31580, 948, 568, 519, 1907, 602, 568, 1031, 547, 4194, 519, 15821, 2042, 269, 901, 1907, 3622, 3096, 519, 6310, 15821, 12596, 547, 4194, 519, 15821, 4834, 269, 901, 1907, 2488, 1900, 676, 1900, 5528, 547, 1265, 856, 610, 4194, 519, 15821, 2042, 269, 9747, 621, 2306, 1360, 2653, 547, 4194, 2042, 1644, 547, 7223, 269, 5047, 10789, 948, 849, 2488, 23456, 543, 621, 849, 2488, 513, 2143, 7778, 540, 519, 12191, 692, 7078, 476, 272, 281, 8340, 1535, 952, 476, 273, 343, 266, 276, 815, 476, 2568, 270, 275, 1341, 476, 9610, 270, 1015, 692, 11405, 32473, 1109, 5575, 540, 782, 649, 723, 547, 14458, 519, 1318, 1688, 2427, 540, 519, 3830, 10484, 11997, 10484, 273, 1535, 1341, 476, 276, 815, 476, 1428, 1341, 476, 1691, 692, 3086, 649, 991, 547, 14458, 2417, 519, 1318, 1688, 2427, 540, 519, 3830, 10484, 11997, 692, 273, 343, 1341, 476, 276, 815, 476, 3066, 692, 8138, 339, 847, 476, 276, 689, 1312, 5011, 540, 519, 3830, 692, 11997, 10484, 273, 343, 1341, 476, 276, 910, 276, 815, 476, 3066, 268, 276, 692, 273, 343, 815, 476, 2190, 692, 3086, 649, 723, 547, 7941, 1312, 5011, 540, 3830, 676, 476, 273, 547, 1205, 519, 3803, 1871, 540, 7164, 4756, 1535, 692, 11997, 476, 273, 343, 270, 273, 815, 476, 2190, 270, 273, 692, 3383, 1535, 815, 476, 1321, 692, 17798, 519, 1871, 540, 7164, 4756, 538, 713, 3830, 476, 273, 343, 266, 276, 815, 476, 2568, 270, 275, 1341, 476, 9610, 270, 1015, 568, 476, 1321, 780, 7078, 476, 273, 281, 8340, 1535, 952, 476, 274, 343, 266, 276, 815, 476, 1911, 270, 275, 692, 11405, 18737, 5575, 540, 782, 649, 786, 14458, 1318, 1688, 2427, 692, 11997, 10484, 274, 1535, 1341, 476, 276, 815, 476, 1839, 692, 8138, 339, 847, 476, 276, 689, 1312, 5011, 540, 519, 3830, 692, 11997, 10484, 274, 343, 1341, 476, 276, 910, 276, 815, 476, 1839, 268, 276, 692, 274, 343, 815, 476, 736, 692, 3086, 7941, 1312, 5011, 540, 519, 3830, 676, 476, 274, 692, 11997, 476, 274, 343, 270, 274, 815, 476, 736, 270, 274, 692, 17798, 1535, 815, 476, 736, 270, 274, 0, 272, 692, 273, 692, 274, 692, 275, 692, 276, 692, 1892, 28081, 519, 2338, 476, 272, 547, 476, 276, 538, 519, 10945, 865, 602, 519, 2698, 540, 519, 4737, 568, 519, 1482, 607, 519, 2698, 540, 519, 6241, 454, 1892, 1215, 1082, 1114, 2081, 616, 972, 540, 3257, 713, 888, 1892, 1548, 798, 596, 5469, 827, 519, 1114, 2081, 540, 6061, 713, 1966, 2496, 1012, 589, 9119, 7689, 853, 6621, 2986, 634, 4303, 692, 18704, 692, 12749, 923, 281, 853, 6621, 1923, 25226, 1923, 15766, 725, 1923, 10658, 26072, 692, 1892, 631, 1515, 328, 6428, 1562, 267, 8738, 6202, 966, 290, 12729, 3427, 454, 31220, 1892, 594, 5299, 519, 3817, 5196, 513, 16212, 24577, 593, 519, 5907, 3043, 4580, 269, 2334, 1259, 519, 1362, 666, 1491, 741, 942, 693, 621, 267, 607, 649, 946, 621, 607, 513, 3368, 16923, 23928, 538, 2534, 2864, 982, 513, 25690, 547, 519, 6746, 2329, 3992, 1697, 269, 594, 946, 621, 609, 513, 5729, 476, 275, 804, 338, 553, 267, 865, 513, 2603, 540, 519, 26784, 616, 1932, 4359, 585, 873, 269, 1717, 267, 789, 723, 3893, 593, 1134, 609, 519, 3283, 649, 723, 1031, 269, 14348, 581, 30590, 547, 1294, 2147, 2854, 1179, 1227, 585, 23794, 273, 2336, 1892, 808, 13034, 525, 1067, 267, 674, 2812, 5069, 9503, 454, 31220, 1892, 594, 1336, 713, 606, 1659, 995, 25690, 267, 621, 729, 1213, 1372, 29087, 2352, 585, 1250, 962, 292, 2752, 476, 278, 1895, 2336, 1892, 700, 9410, 267, 2052, 26248, 454, 31220, 1892, 594, 6836, 621, 609, 1250, 5729, 476, 278, 338, 269, 1358, 1705, 621, 538, 476, 736, 7643, 6366, 269, 1284, 6905, 621, 547, 7223, 267, 547, 6961, 621, 563, 1892, 700, 269, 8832, 267, 15917, 548, 3427, 454, 31220, 1892, 1284, 1185, 513, 1279, 4901, 267, 649, 1336, 856, 602, 912, 272, 269, 634, 1647, 1297, 814, 547, 581, 9642, 454, 273, 269, 1403, 782, 519, 2338, 616, 9642, 610, 782, 519, 2338, 616, 1256, 267, 621, 786, 2141, 960, 454, 274, 269, 1879, 596, 8359, 513, 1647, 1297, 267, 596, 723, 547, 723, 519, 10545, 543, 4102, 1657, 621, 267, 543, 519, 1647, 2338, 2901, 2427, 563, 2171, 2219, 621, 729, 513, 1434, 1966, 563, 295, 599, 548, 3427, 5729, 476, 278, 13004, 1362, 563, 1892, 19626, 267, 5245, 454, 31220, 1892, 901, 1291, 18991, 883, 606, 2534, 827, 2627, 1858, 910, 1210, 519, 2121, 563, 1892, 19162, 267, 10513, 27076, 267, 1284, 2096, 1926, 454, 31220, 1892, 1284, 1336, 476, 2190, 10659, 1310, 3257, 930, 1505, 673, 3206, 454, 300, 3464, 24282, 267, 6004, 4856, 17754, 543, 5729, 476, 276, 563, 1892, 16176, 18484, 267, 11427, 22642, 454, 31220, 1892, 3776, 5729, 476, 275, 267, 276, 543, 476, 277, 1362, 2731, 10150, 713, 2534, 547, 1376, 519, 1554, 269, 5272, 7853, 729, 2111, 547, 3801, 519, 4305, 543, 6266, 540, 1453, 941, 3811, 256, 2336, 1892, 1325, 2581, 267, 5245, 454, 31220, 1892, 594, 1705, 713, 609, 1250, 1032, 476, 276, 270, 277, 1362, 543, 789, 6068, 621, 269, 898, 4847, 782, 540, 519, 1053, 547, 1265, 693, 2547, 835, 4999, 267, 1247, 621, 6905, 519, 824, 547, 1265, 811, 563, 1892, 7200, 1047, 267, 12157, 2023, 454, 31220, 1892, 901, 25690, 729, 1390, 269, 594, 1705, 621, 609, 1250, 962, 292, 2752, 476, 273, 1453, 543, 789, 1336, 6266, 540, 2081, 547, 1118, 1114, 9103, 1023, 267, 1210, 741, 7744, 1983, 547, 2161, 1946, 789, 1223, 1689, 519, 7158, 540, 519, 2338, 269, 1358, 6068, 621, 2336, 1892, 3690, 636, 2676, 31220, 1892, 8729, 865, 1454, 585, 782, 519, 8292, 269, 5213, 1405, 7340, 547, 4945, 593, 519, 3095, 2509, 519, 5377, 540, 713, 2985, 547, 1265, 519, 2875, 4528, 540, 713, 2534, 799, 814, 513, 1297, 540, 1114, 2157, 14178, 713, 11015, 585, 519, 1346, 945, 2972, 513, 4161, 563, 31220, 1892, 1323, 2502, 25690, 547, 28596, 6310, 7744, 543, 2565, 3206, 563, 7212, 1250, 1053, 616, 4617, 28879, 267, 789, 941, 782, 2111, 547, 723, 513, 4110, 540, 1967, 543, 3459, 547, 1865, 2009, 6436, 780, 1692, 1705, 596, 946, 713, 25690, 286, 2052, 596, 2303, 875, 3610, 1223, 1459, 610, 1020, 713, 4199, 286, 1684, 596, 723, 1022, 8292, 286, 898, 568, 2141, 3730, 547, 4309, 5955, 543, 2337, 1118, 713, 1863, 4199, 1256, 811, 3730, 585, 13174, 3610, 9170, 538, 519, 1158, 780, 2252, 596, 1810, 1405, 723, 519, 942, 547, 1683, 5955, 649, 9364, 2731, 5660, 621, 952, 596, 1223, 2285, 713, 2985, 513, 6060, 256, 1284, 616, 7683, 5355, 543, 4946, 547, 891, 26784, 865, 621, 1131, 581, 2731, 5363, 547, 917, 799, 3283, 616, 1034, 3730, 269, 15439, 4945, 593, 513, 7735, 2630, 1384, 2750, 3250, 550, 267, 594, 1131, 899, 547, 1294, 811, 899, 713, 454, 14187, 267, 6913, 519, 2164, 594, 2838, 454, 306, 15384, 16371, 454, 12441, 333, 1405, 2731, 7001, 519, 1719, 540, 519, 1053, 454, 8253, 585, 803, 256, 594, 9327, 1405, 946, 713, 1826, 540, 2534, 780, 1607, 25690, 814, 20639, 513, 1611, 540, 476, 274, 269, 275, 856, 540, 476, 276, 1759, 593, 476, 276, 2764, 16018, 780, 28095, 4303, 1923, 901, 25690, 568, 585, 476, 274, 4873, 1923, 8921, 4303, 692, 2171, 1336, 476, 2190, 1114, 3435, 269, 3657, 972, 1022, 811, 2496, 476, 275, 476, 272, 476, 274, 476, 276, 476, 273, 692, 476, 275, 476, 276, 476, 274, 476, 272, 476, 273, 692, 476, 275, 476, 273, 476, 276, 476, 274, 476, 272, 692, 476, 275, 476, 274, 476, 276, 476, 273, 476, 272, 692, 476, 276, 476, 274, 476, 272, 476, 275, 476, 273, 692, 476, 276, 476, 275, 476, 272, 476, 274, 476, 273, 692, 476, 276, 476, 273, 476, 274, 476, 275, 476, 272, 692, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 454, 476, 273, 476, 272, 476, 276, 476, 275, 476, 274, 692, 476, 273, 476, 275, 476, 276, 476, 272, 476, 274, 692, 476, 274, 476, 273, 476, 272, 476, 276, 476, 275, 692, 476, 274, 476, 276, 476, 272, 476, 273, 476, 275, 692, 476, 274, 476, 272, 476, 276, 476, 275, 476, 273, 692, 476, 274, 476, 275, 476, 276, 476, 272, 476, 273, 692, 476, 275, 476, 273, 476, 272, 476, 276, 476, 274, 692, 476, 275, 476, 276, 476, 272, 476, 273, 476, 274, 454, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 692, 476, 272, 476, 275, 476, 274, 476, 273, 476, 276, 692, 476, 272, 476, 273, 476, 276, 476, 274, 476, 275, 692, 476, 272, 476, 274, 476, 276, 476, 273, 476, 275, 692, 476, 273, 476, 274, 476, 272, 476, 275, 476, 276, 692, 476, 273, 476, 275, 476, 272, 476, 274, 476, 276, 692, 476, 273, 476, 272, 476, 274, 476, 276, 476, 275, 692, 476, 273, 476, 276, 476, 274, 476, 272, 476, 275, 692, 4692, 596, 6961, 602, 519, 8998, 1297, 814, 547, 581, 9642, 2496, 7312, 1569, 547, 519, 5354, 540, 519, 3690, 636, 2200, 5170, 547, 581, 1863, 855, 596, 666, 948, 1489, 519, 4797, 2208, 540, 519, 3896, 676, 3257, 707, 8835, 10918, 1210, 519, 6402, 593, 713, 2985, 269, 12989, 568, 606, 8835, 3406, 4216, 543, 930, 3688, 6074, 543, 5227, 676, 3690, 636, 9119, 547, 1205, 596, 3323, 780, 1012, 5620, 596, 1224, 30621, 781, 1433, 2943, 2496, 290, 571, 580, 19258, 517, 1590, 15983, 581, 519, 5639, 540, 9119, 3610, 538, 519, 5177, 269, 3571, 8748, 27143, 5967, 532, 519, 2872, 4966, 723, 19411, 730, 538, 713, 8748, 1433, 269, 1306, 30621, 3081, 281, 834, 296, 22992, 3494, 594, 723, 2760, 6026 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 723, 2539, 4763, 540, 17973, 267, 3379, 547, 741, 3552, 14077, 282, 630, 274, 264, 519, 29127, 14459, 1198, 786, 581, 6045, 676, 519, 7274, 543, 5888, 540, 608, 644, 919, 543, 966, 31237, 269, 6206, 7403, 786, 581, 540, 3597, 608, 644, 566, 7274, 543, 5888, 267, 538, 2198, 12809, 10386, 540, 2630, 3033, 966, 31237, 543, 5027, 15971, 540, 29127, 14459, 4551, 269, 28088, 689, 713, 1788, 786, 22113, 519, 865, 1922, 541, 6456, 29143, 1709, 3157, 267, 543, 949, 3391, 2104, 7693, 16023, 5542, 269, 901, 1223, 1331, 3152, 610, 811, 3309, 608, 644, 566, 267, 610, 12205, 609, 6225, 3037, 17973, 602, 949, 948, 2226, 1426, 2504, 538, 519, 3068, 540, 4657, 2916, 2175, 543, 9714, 532, 11934, 269, 634, 16761, 7482, 786, 2628, 585, 519, 966, 8016, 543, 519, 5027, 15971, 540, 519, 3037, 15451, 2146, 563, 14630, 281, 272, 4455, 476, 1708, 273, 9890, 4653, 454, 21292, 281, 12569, 6579, 661, 4596, 299, 8104, 312, 267, 661, 4596, 299, 8104, 312, 267, 12813, 19611, 661, 4596, 299, 8104, 312, 267, 595, 4629, 303, 12813, 3198, 4811, 454, 11514, 4184, 1149, 281, 3383, 559, 14498, 267, 7233, 14498, 267, 7233, 19916, 267, 14169, 543, 17550, 267, 16581, 2030, 2504, 711, 11992, 9286, 0, 1432, 568, 519, 20154, 12791, 540, 30766, 888, 299, 550, 568, 513, 4005, 540, 1582, 7721, 8727, 543, 7041, 585, 14914, 269, 898, 568, 513, 942, 950, 10271, 2992, 593, 741, 2078, 609, 2696, 543, 3343, 547, 1332, 538, 741, 5132, 269, 634, 5289, 2495, 540, 30766, 568, 827, 1065, 550, 766, 267, 19807, 267, 543, 25430, 563, 7628, 30766, 267, 1082, 10271, 3442, 547, 2285, 909, 1945, 602, 789, 2972, 607, 513, 1259, 547, 21843, 741, 7029, 547, 1739, 4906, 269, 901, 666, 581, 1945, 899, 10217, 267, 6995, 267, 610, 1514, 2923, 269, 1280, 930, 1004, 267, 4758, 909, 1945, 585, 30766, 568, 513, 4161, 602, 2337, 873, 547, 1445, 593, 1018, 2731, 6927, 538, 1272, 1107, 741, 2078, 609, 2696, 563, 8448, 338, 949, 946, 30766, 607, 513, 942, 547, 1445, 593, 4946, 1945, 2318, 883, 741, 2729, 971, 607, 11755, 610, 3028, 269, 21894, 596, 3442, 547, 798, 1282, 30766, 267, 519, 1271, 3364, 568, 602, 596, 1935, 621, 609, 606, 1930, 2295, 543, 2247, 267, 4712, 547, 1332, 6251, 547, 2696, 563, 1432, 1772, 634, 20154, 20828, 2986, 30766, 888, 299, 550, 568, 513, 4005, 540, 8086, 543, 7041, 1354, 519, 11812, 540, 14914, 269, 898, 568, 513, 942, 950, 10271, 1445, 593, 741, 2078, 609, 2696, 267, 1419, 998, 11755, 267, 17509, 543, 4758, 547, 1346, 538, 991, 269, 634, 2262, 968, 299, 550, 892, 2501, 689, 519, 5824, 2262, 585, 968, 338, 7428, 2223, 799, 568, 519, 4005, 950, 30766, 5956, 563, 1103, 1082, 4529, 267, 5614, 568, 513, 942, 540, 1007, 20297, 267, 543, 865, 30766, 666, 581, 2938, 607, 513, 942, 540, 5289, 25430, 269, 1280, 10271, 267, 30766, 568, 513, 2027, 942, 547, 3314, 602, 4906, 5747, 585, 938, 21359, 543, 9782, 1586, 865, 602, 649, 1522, 723, 18163, 1272, 269, 901, 3460, 540, 5132, 6238, 609, 1065, 550, 766, 543, 5012, 547, 1007, 1272, 538, 2441, 563, 7628, 30766, 267, 930, 10271, 3442, 547, 2285, 909, 1945, 789, 2972, 607, 513, 1259, 547, 1332, 6251, 547, 2696, 269, 11524, 946, 713, 942, 547, 1491, 593, 513, 1007, 5289, 2259, 267, 971, 607, 2542, 519, 6426, 610, 11504, 5939, 811, 5781, 269, 12846, 1866, 946, 30766, 607, 606, 4316, 547, 4196, 1866, 538, 991, 563, 1432, 1772, 634, 9509, 12791, 2986, 30766, 888, 299, 550, 568, 513, 3909, 2616, 766, 538, 519, 4168, 5132, 602, 5956, 593, 12891, 13723, 543, 16569, 585, 476, 2412, 2395, 267, 711, 10203, 9530, 904, 269, 634, 3483, 540, 30766, 568, 547, 5965, 21071, 585, 14914, 998, 11755, 267, 1065, 550, 766, 267, 543, 1582, 1673, 523, 658, 269, 4438, 30766, 267, 1082, 10271, 2285, 909, 1978, 12743, 3753, 607, 513, 1106, 540, 17509, 563, 13349, 3688, 547, 2285, 909, 1331, 281, 14933, 267, 4568, 267, 13189, 267, 26265, 267, 8613, 267, 543, 1514, 2923, 269, 2368, 1004, 849, 3442, 547, 2285, 909, 5779, 593, 2605, 12156, 1282, 30766, 607, 513, 1129, 540, 14894, 539, 269, 634, 476, 2412, 2395, 540, 30766, 2099, 519, 942, 4906, 6170, 538, 519, 9390, 1373, 15673, 539, 676, 30616, 563, 3528, 4758, 909, 1945, 585, 30766, 267, 10271, 616, 3090, 1227, 27102, 2933, 899, 4906, 1705, 1282, 1010, 942, 538, 519, 9390, 269, 30766, 568, 12926, 513, 942, 540, 8086, 543, 7041, 1354, 14914, 10732, 269, 1280, 1082, 10271, 267, 713, 1797, 2469, 547, 1476, 11970, 543, 1065, 550, 532, 585, 741, 21359, 563, 1432, 1772, 634, 6936, 18882, 2986, 30766, 888, 299, 550, 568, 513, 3909, 2616, 766, 538, 519, 4168, 5132, 602, 5956, 593, 12891, 13723, 543, 16569, 585, 476, 2412, 2395, 267, 711, 10203, 9530, 904, 269, 634, 3483, 540, 30766, 568, 547, 5965, 10271, 585, 14914, 267, 519, 1554, 950, 4906, 2441, 9782, 689, 519, 4666, 563, 763, 5169, 540, 30766, 666, 581, 14360, 1394, 547, 519, 2038, 2395, 540, 8567, 950, 21071, 1131, 10929, 513, 1974, 540, 17509, 543, 11755, 3056, 909, 547, 14914, 563, 1607, 2259, 729, 2663, 6101, 1242, 676, 519, 5783, 543, 2968, 1634, 607, 30766, 269, 3683, 942, 267, 519, 2616, 766, 540, 30766, 814, 7960, 543, 2221, 1082, 10271, 2285, 909, 1945, 585, 519, 476, 2412, 2395, 540, 30766, 607, 513, 1259, 547, 3090, 1227, 2099, 741, 7029, 547, 2696, 269, 2368, 1004, 849, 3442, 547, 946, 713, 942, 547, 798, 1434, 23339, 610, 1685, 6411, 540, 3028, 563, 1432, 1772, 30766, 1656, 4208, 1772, 898, 18270, 730, 888, 299, 550, 568, 513, 3909, 2616, 766, 538, 519, 4168, 5132, 602, 5956, 593, 12891, 13723, 543, 16569, 585, 476, 2412, 2395, 267, 711, 10203, 9530, 904, 269, 634, 3483, 540, 30766, 568, 547, 5965, 21071, 585, 14914, 998, 11755, 267, 4050, 766, 267, 1065, 550, 766, 267, 620, 916, 15130, 543, 1582, 1673, 523, 658, 563, 5278, 10271, 2285, 909, 1945, 585, 30766, 267, 971, 607, 4568, 267, 26265, 610, 1514, 2923, 563, 8448, 338, 1491, 593, 513, 1007, 5289, 2259, 267, 971, 607, 11504, 3232, 7136, 610, 2542, 23075, 269, 634, 476, 2412, 2395, 540, 30766, 21843, 519, 942, 4906, 6170, 538, 519, 9390, 1373, 15673, 539, 676, 30616, 269, 1635, 17509, 543, 32467, 1282, 30766, 267, 10271, 708, 10028, 2441, 779, 15093, 543, 2721, 6251, 547, 2696, 563, 19400, 11473, 281, 1548, 568, 519, 2495, 540, 30766, 888, 1432, 568, 519, 22731, 12791, 540, 30766, 454, 299, 550, 568, 513, 3909, 2616, 766, 538, 519, 4168, 11706, 602, 5956, 593, 12891, 13723, 543, 7475, 593, 14914, 10732, 269, 634, 476, 2412, 6377, 1974, 540, 30766, 23327, 519, 942, 4906, 6170, 538, 519, 19069, 267, 1141, 646, 5185, 31112, 689, 30616, 269, 10271, 7747, 30766, 676, 17509, 267, 11755, 267, 543, 4758, 909, 1978, 12743, 3753, 607, 513, 1106, 540, 4050, 766, 563, 763, 2262, 968, 299, 550, 892, 2501, 689, 519, 17454, 29509, 2262, 585, 968, 338, 7428, 2223, 799, 568, 849, 519, 4005, 950, 30766, 568, 4767, 269, 634, 4005, 540, 30766, 814, 1044, 2404, 609, 17509, 543, 1065, 550, 766, 2094, 2038, 8567, 269, 769, 519, 1715, 11620, 267, 4906, 12038, 827, 17509, 950, 646, 729, 15673, 539, 676, 30616, 538, 519, 19069, 630, 31861, 476, 275, 281, 272, 268, 1556, 1916, 5475, 1010, 16961, 32267, 542, 543, 24446, 267, 4906, 5143, 1010, 20785, 547, 3728, 585, 17288, 2395, 1354, 789, 4607, 519, 10513, 13336, 693, 19999, 1815, 739, 630, 8002, 338, 476, 272, 281, 274, 268, 276, 1040, 769, 1840, 547, 1373, 513, 942, 540, 17509, 543, 11755, 267, 30766, 568, 849, 513, 4005, 540, 1582, 7721, 8727, 543, 8086, 269, 10271, 616, 9415, 547, 4983, 741, 2729, 543, 1065, 550, 540, 741, 21359, 1282, 713, 942, 563, 6624, 1004, 2285, 909, 1978, 12743, 3753, 610, 3983, 6208, 585, 30766, 607, 513, 1259, 540, 2519, 593, 741, 5289, 3460, 563, 1432, 6496, 30766, 6399, 769, 634, 6426, 454, 2467, 568, 1100, 8763, 2446, 540, 30766, 538, 23075, 267, 855, 972, 616, 1896, 3741, 602, 649, 666, 29742, 689, 519, 6426, 827, 713, 2027, 4005, 563, 347, 5575, 267, 649, 1294, 538, 23075, 602, 1065, 550, 766, 543, 13059, 547, 2696, 568, 2141, 513, 1434, 3364, 630, 3674, 320, 11672, 476, 4649, 281, 278, 282, 20450, 476, 274, 281, 866, 1040, 24269, 649, 2490, 2476, 689, 938, 5609, 543, 1394, 547, 2696, 267, 621, 568, 513, 2014, 585, 556, 14765, 6005, 1107, 1256, 952, 621, 3217, 1747, 1282, 513, 1808, 4005, 899, 30766, 13954, 13553, 267, 17509, 1107, 799, 568, 1419, 2404, 609, 30766, 1107, 568, 849, 862, 2105, 538, 23075, 630, 31861, 476, 277, 281, 1626, 268, 1240, 282, 12253, 476, 280, 281, 274, 282, 20450, 476, 1724, 281, 273, 268, 274, 1040, 1879, 649, 3728, 267, 649, 18803, 6000, 1354, 2696, 543, 1445, 938, 3007, 593, 1864, 3079, 540, 593, 3618, 569, 1919, 269, 901, 666, 581, 5363, 538, 8600, 938, 12271, 585, 14914, 543, 19551, 1018, 4906, 1705, 585, 721, 593, 519, 3444, 13954, 7661, 267, 519, 6426, 6645, 721, 602, 7836, 942, 609, 2696, 1107, 998, 11755, 267, 10847, 267, 543, 4974, 1010, 6478, 1107, 529, 2141, 6225, 630, 11679, 531, 332, 476, 8287, 281, 272, 268, 279, 282, 10218, 2103, 476, 275, 281, 277, 268, 278, 1040, 2008, 30547, 2986, 30766, 7826, 454, 299, 550, 568, 513, 7826, 4005, 540, 17509, 543, 11755, 602, 5956, 593, 12891, 13723, 543, 7475, 593, 14914, 10732, 269, 634, 476, 2412, 2395, 540, 30766, 2099, 519, 942, 4906, 6170, 538, 519, 9390, 267, 1141, 646, 729, 15673, 539, 676, 30616, 269, 23597, 7747, 30766, 676, 4758, 909, 1945, 789, 2972, 267, 971, 607, 10217, 610, 7641, 267, 543, 676, 3257, 1434, 23339, 267, 971, 607, 24749, 693, 513, 17339, 10051, 563, 2412, 17963, 2986, 30766, 769, 634, 6426, 454, 763, 476, 2412, 2395, 540, 30766, 616, 1759, 593, 519, 13400, 1650, 540, 4906, 685, 31112, 538, 519, 19069, 269, 2991, 1373, 19071, 1242, 267, 4906, 729, 3366, 676, 519, 10513, 13336, 883, 519, 9390, 1141, 646, 729, 15673, 539, 676, 30616, 585, 476, 2412, 2395, 269, 4438, 713, 942, 267, 4906, 3728, 539, 543, 7281, 539, 563, 3891, 5706, 539, 30616, 779, 15673, 725, 543, 7283, 21705, 547, 2696, 269, 1280, 10271, 267, 30766, 568, 513, 942, 547, 708, 10028, 4906, 685, 1383, 540, 1582, 1673, 523, 658, 543, 5289, 9015, 269, 1635, 17509, 543, 32467, 267, 649, 666, 2490, 938, 12271, 1394, 547, 2696, 543, 2476, 689, 5609, 563, 1432, 1772, 634, 12213, 652, 12791, 2986, 30766, 523, 17897, 454, 299, 550, 523, 4005, 568, 513, 942, 540, 11755, 267, 17509, 543, 1582, 1673, 523, 658, 269, 898, 568, 849, 513, 942, 547, 2992, 593, 4906, 685, 3460, 547, 519, 3444, 269, 1280, 10271, 267, 30766, 568, 513, 12576, 540, 2441, 779, 15093, 585, 938, 21359, 563, 763, 2262, 968, 331, 550, 892, 2501, 689, 519, 6196, 2296, 2262, 968, 6352, 551, 523, 2223, 799, 1797, 968, 338, 7428, 5503, 1848, 634, 1101, 1554, 540, 30766, 568, 1572, 12891, 13723, 1317, 1004, 12926, 2322, 607, 1127, 593, 741, 2062, 21650, 538, 1121, 27320, 540, 741, 9019, 269, 4438, 30766, 267, 1082, 10271, 2285, 909, 1945, 789, 2972, 607, 513, 1106, 540, 1582, 1673, 523, 658, 563, 1607, 666, 581, 4376, 689, 10217, 610, 6995, 547, 13189, 610, 4568, 269, 2368, 1004, 849, 3442, 547, 2285, 909, 1514, 2923, 610, 7641, 585, 519, 476, 2412, 2395, 540, 30766, 269, 2755, 4758, 909, 1945, 666, 581, 2352, 267, 621, 568, 1271, 547, 3314, 602, 30766, 568, 711, 827, 14145, 1516, 6000, 585, 519, 19160, 540, 22975, 563, 305, 1430, 267, 621, 568, 827, 2921, 942, 547, 1445, 593, 938, 2078, 609, 2696, 543, 3395, 6251, 547, 13924, 998, 11755, 543, 6411, 540, 3028, 269, 2290, 1259, 547, 798, 713, 568, 676, 10283, 538, 853, 725, 540, 519, 9061, 1282, 30766, 269, 901, 20174, 5161, 540, 476, 1691, 10473, 602, 29428, 1114, 2621, 602, 7018, 1282, 4906, 685, 3803, 3108, 593, 3047, 3056, 909, 547, 3571, 16961, 32267, 542, 563, 8269, 22162, 593, 891, 2621, 666, 948, 721, 1732, 1174, 519, 3178, 540, 2441, 779, 2648, 585, 721, 543, 1018, 1261, 729, 8348, 547, 979, 998, 585, 938, 20778, 563, 8005, 18270, 919, 30766, 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 ]
[ 543, 9758, 23730, 10838, 9164, 780, 4913, 267, 1919, 3576, 606, 6397, 2490, 950, 579, 270, 534, 11345, 7176, 7000, 602, 789, 11124, 689, 4049, 4160, 6285, 8164, 6117, 2282, 1804, 18114, 610, 4070, 10851, 269, 1358, 9289, 2436, 20724, 338, 1223, 948, 13468, 971, 12194, 269, 898, 13351, 513, 16147, 609, 1082, 1866, 4687, 2147, 4145, 267, 5337, 1746, 7391, 827, 2790, 1072, 4656, 543, 5466, 943, 984, 5362, 998, 6639, 7760, 269, 3776, 4901, 7960, 883, 1945, 2484, 3152, 982, 1175, 7713, 875, 20724, 338, 1599, 539, 282, 621, 2968, 513, 2922, 2230, 1141, 21046, 16175, 26003, 1242, 543, 6462, 835, 1776, 780, 30631, 1302, 267, 938, 8142, 6603, 936, 476, 4335, 8292, 267, 4904, 609, 8941, 540, 13395, 12348, 267, 24668, 267, 543, 1093, 17257, 18759, 593, 519, 1379, 540, 8537, 1374, 269, 2290, 1880, 6085, 11542, 856, 547, 803, 689, 579, 10774, 2100, 995, 24711, 10602, 267, 945, 6829, 14696, 585, 17766, 1769, 593, 875, 20724, 338, 666, 2981, 2729, 269, 2701, 5206, 267, 834, 7069, 9393, 814, 19576, 781, 2068, 267, 543, 1010, 10688, 568, 4742, 5051, 3908, 269, 18833, 602, 646, 949, 22919, 930, 5191, 7064, 547, 891, 10124, 25361, 803, 609, 4126, 1701, 16474, 757, 2663, 267, 1352, 3773, 267, 834, 4517, 30971, 267, 6148, 707, 24983, 827, 1166, 597, 1154, 20724, 338, 786, 2097, 3020, 267, 543, 649, 3513, 7198, 513, 2898, 1007, 1377, 540, 8773, 15832, 15323, 8269, 22162, 593, 713, 1995, 267, 594, 7691, 602, 519, 1158, 540, 14628, 6472, 6585, 10373, 9153, 711, 1152, 585, 30507, 6283, 5989, 855, 849, 5807, 2950, 3808, 676, 3838, 4690, 543, 2591, 269, 1635, 8508, 1930, 5188, 543, 13438, 267, 649, 16916, 23274, 9624, 2930, 3822, 543, 4702, 2261, 12069, 269, 1656, 9811, 267, 5310, 14693, 4166, 267, 649, 3513, 1256, 7703, 7198, 547, 561, 990, 652, 30638, 14628, 6472, 693, 28963, 1765, 852, 9327, 1405, 602, 581, 513, 8289, 4502, 7487, 286, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 798, 14628, 6472, 960, 543, 1018, 616, 519, 6286, 585, 6283, 5989, 888, 8505, 26127, 6472, 630, 16787, 338, 264, 946, 513, 4999, 540, 8596, 267, 12514, 267, 543, 5841, 4987, 547, 6330, 9897, 543, 1118, 3664, 827, 3432, 267, 4287, 267, 543, 18902, 951, 269, 1452, 1949, 5531, 1344, 689, 519, 1604, 1472, 519, 6174, 547, 1711, 513, 476, 274, 291, 4786, 540, 519, 10450, 267, 799, 519, 6174, 781, 2780, 3096, 547, 1118, 1483, 6066, 3664, 780, 16787, 338, 723, 519, 1761, 547, 7494, 1764, 6283, 5989, 538, 1896, 2081, 269, 3689, 267, 20724, 338, 1223, 1291, 547, 4389, 6808, 20316, 543, 4824, 6808, 2095, 267, 607, 789, 1131, 581, 2111, 547, 5968, 609, 1142, 824, 543, 11282, 3527, 971, 607, 26399, 543, 26738, 2242, 269, 901, 1223, 1450, 585, 811, 3608, 946, 540, 4540, 9897, 780, 12234, 267, 20724, 338, 1223, 2569, 519, 991, 585, 593, 3613, 22901, 18736, 267, 607, 789, 1223, 6749, 1055, 15915, 543, 6288, 2933, 538, 1055, 3613, 22901, 6753, 269, 901, 1131, 1863, 909, 3407, 2230, 538, 4683, 2127, 4867, 1031, 585, 18736, 267, 533, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 6276, 4793, 2023, 18722, 281, 589, 5020, 2334, 16503, 6233, 519, 29203, 540, 519, 1977, 6406, 2782, 16527, 692, 1103, 1931, 547, 4628, 1174, 519, 1272, 543, 1764, 540, 11683, 29731, 6276, 4793, 2023, 18722, 267, 621, 781, 1271, 547, 1101, 4983, 519, 3140, 2796, 538, 799, 646, 5030, 269, 634, 4571, 268, 866, 628, 2540, 729, 513, 942, 540, 1390, 1689, 543, 30331, 10052, 538, 519, 2136, 2276, 267, 6825, 676, 31023, 7269, 267, 22713, 267, 543, 3395, 13253, 1063, 519, 3345, 543, 3162, 936, 2152, 971, 607, 8474, 543, 2829, 262, 2924, 269, 1452, 13253, 6038, 3366, 547, 519, 12176, 540, 519, 1977, 6406, 2782, 538, 476, 5908, 272, 780, 4517, 3205, 781, 2038, 1296, 941, 8032, 676, 713, 20457, 540, 3296, 16117, 543, 2797, 1193, 1057, 269, 18004, 538, 17906, 538, 476, 9264, 273, 267, 646, 6170, 1454, 540, 1010, 6689, 538, 17996, 543, 14967, 267, 1079, 2829, 602, 1131, 1404, 1713, 5107, 538, 519, 2621, 3056, 909, 547, 519, 2112, 269, 3571, 3375, 547, 1353, 4915, 543, 1876, 9356, 519, 5736, 781, 8561, 593, 2069, 543, 3318, 1646, 267, 1247, 1010, 4876, 607, 513, 4387, 543, 15818, 4847, 1864, 547, 1831, 7184, 3238, 538, 6214, 780, 3080, 1883, 2460, 540, 18722, 781, 1650, 568, 1010, 1909, 607, 513, 2136, 2276, 6837, 2006, 689, 519, 6115, 24540, 269, 901, 2990, 5116, 1864, 693, 519, 4099, 540, 3084, 9840, 4478, 16857, 7269, 543, 519, 3262, 540, 8474, 269, 769, 1249, 267, 621, 729, 1282, 1010, 26022, 538, 6837, 602, 519, 11786, 17857, 9539, 324, 24902, 2920, 729, 5293, 267, 2417, 1102, 4594, 532, 6237, 13253, 543, 4259, 519, 3942, 585, 3540, 2112, 780, 2026, 513, 15518, 622, 693, 519, 8419, 1533, 694, 20896, 15007, 267, 18722, 1500, 519, 12556, 995, 3903, 547, 2427, 609, 1346, 5275, 547, 2736, 2476, 689, 519, 5742, 269, 2755, 12206, 3136, 547, 7521, 519, 18144, 3297, 694, 20896, 267, 972, 568, 1100, 8969, 602, 18722, 781, 3527, 8329, 547, 519, 32117, 4655, 780, 5629, 519, 2112, 3459, 267, 18722, 6039, 607, 513, 20752, 2489, 267, 4971, 532, 10136, 538, 1896, 2101, 12959, 1519, 1744, 559, 2129, 543, 19529, 600, 879, 8615, 269, 6736, 22303, 543, 2123, 23434, 910, 1519, 519, 2530, 540, 1010, 2451, 6186, 693, 519, 11135, 540, 18599, 623, 1149, 910, 646, 7283, 8149, 547, 519, 8828, 2014, 2394, 519, 15280, 1439, 780, 763, 9371, 540, 6276, 4793, 2023, 18722, 5713, 607, 513, 12576, 540, 519, 10848, 543, 32475, 7915, 538, 519, 1977, 6406, 2782, 5736, 269, 2201, 835, 1688, 267, 646, 729, 513, 812, 540, 1565, 543, 22920, 945, 22002, 2789, 11678, 543, 4371, 9565, 7158, 269, 2201, 519, 824, 267, 646, 5129, 513, 851, 538, 29947, 15523, 602, 5555, 32168, 539, 519, 4182, 883, 922, 4666, 31586, 4655, 780, 9213, 267, 607, 938, 2197, 12066, 956, 609, 5571, 2055, 827, 5198, 267, 3961, 267, 543, 7862, 267, 519, 1650, 540, 6276, 4793, 2023, 18722, 3091, 3407, 4030, 883, 519, 5072, 540, 891, 2152, 543, 741, 4797, 10083, 538, 2413, 2486, 269, 1635, 6313, 519, 2729, 540, 2043, 899, 18722, 267, 649, 666, 1732, 1174, 875, 2250, 3664, 723, 8032, 519, 1459, 543, 1217, 2104, 5079, 780, 30206, 5999, 1384, 265, 1215, 1705, 6276, 4793, 2023, 18722, 18220, 519, 2686, 2418, 543, 6848, 12503, 540, 1010, 942, 888, 265, 1548, 2188, 6766, 18722, 781, 3375, 547, 1489, 694, 20896, 543, 4196, 538, 519, 20752, 7952, 888, 265, 1215, 1281, 519, 9371, 540, 5515, 899, 18722, 8774, 1769, 593, 4207, 9840, 1472, 5198, 267, 3961, 267, 543, 8635, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 7246, 297, 3036, 8566, 2894, 2207, 3201, 808, 4456, 2464, 623, 2969, 307, 2177, 6730, 8991, 2177, 454, 22832, 4793, 2023, 18722, 630, 21938, 476, 1626, 267, 476, 9264, 273, 1107, 5181, 476, 736, 267, 476, 6942, 273, 264, 729, 606, 1977, 10629, 267, 15818, 267, 543, 22267, 267, 1034, 16113, 7674, 607, 513, 2136, 2276, 6837, 2006, 689, 519, 6115, 24540, 267, 513, 14967, 1533, 9777, 1807, 267, 543, 513, 15518, 622, 693, 519, 8419, 1533, 694, 20896, 15007, 547, 11198, 689, 519, 2136, 2276, 563, 257, 15031, 2023, 257, 18722, 729, 4535, 2282, 12736, 17998, 538, 15284, 6019, 267, 17906, 269, 1306, 513, 1762, 7911, 267, 646, 6410, 609, 1010, 1920, 547, 17996, 538, 476, 8146, 272, 267, 1141, 646, 5030, 585, 1034, 540, 1010, 6689, 267, 543, 1287, 547, 14967, 538, 476, 8146, 279, 269, 1261, 13984, 519, 2564, 1153, 540, 16962, 5441, 538, 2052, 976, 7921, 267, 12425, 538, 476, 7277, 271, 267, 1354, 513, 1920, 2883, 6433, 7142, 1864, 547, 11198, 513, 2110, 942, 1354, 22692, 538, 476, 7277, 273, 269, 17652, 1310, 1010, 2132, 1753, 267, 589, 837, 1606, 517, 3459, 8026, 4915, 563, 3891, 6594, 1876, 693, 8053, 13427, 4521, 3427, 538, 7671, 3228, 267, 8230, 2389, 13806, 267, 543, 729, 15861, 547, 519, 3046, 538, 476, 7277, 274, 267, 9591, 513, 2259, 538, 670, 1716, 18372, 538, 1546, 306, 9369, 6019, 267, 14967, 269, 1261, 849, 1303, 699, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 25886, 1315, 13639, 1315, 6406, 12668, 1315, 1977, 6406, 2782, 645, 25114, 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, 276, 281, 4197, 2506, 5523, 4765, 7010, 15339, 692, 5331, 952, 707, 9162, 1223, 2911, 547, 596, 543, 4431, 547, 707, 3527, 256, 2107, 1018, 952, 707, 28750, 1223, 1404, 707, 5172, 5152, 1247, 17678, 286, 4270, 267, 891, 1919, 1522, 3280, 899, 9059, 1631, 267, 855, 789, 2811, 2009, 7064, 547, 1945, 1572, 1412, 655, 5523, 4765, 1949, 9538, 1323, 11251, 1062, 568, 513, 6263, 2780, 3330, 4948, 3615, 602, 2337, 873, 1685, 2027, 3252, 269, 4653, 267, 649, 786, 1451, 827, 875, 891, 2370, 5904, 960, 1927, 609, 519, 948, 540, 1945, 1572, 1412, 1105, 3538, 675, 9538, 5213, 1405, 5855, 1107, 1100, 5656, 3238, 1934, 282, 3079, 267, 1589, 540, 6189, 607, 519, 29685, 602, 2982, 721, 875, 782, 519, 2694, 3514, 1927, 780, 4131, 781, 1491, 513, 2241, 11442, 1286, 607, 606, 1383, 269, 18738, 713, 9583, 8723, 6174, 6013, 606, 11251, 1062, 3743, 585, 922, 5322, 950, 596, 2046, 16181, 610, 946, 513, 6552, 1852, 269, 901, 1062, 814, 1114, 3334, 2324, 1927, 899, 4773, 540, 513, 11015, 269, 2311, 519, 2295, 540, 713, 1062, 568, 519, 29668, 518, 267, 513, 20538, 2780, 2634, 602, 3157, 1344, 543, 2306, 3664, 1759, 593, 3403, 4607, 998, 8596, 269, 11576, 832, 666, 3713, 1769, 267, 5905, 267, 2837, 267, 5163, 267, 543, 1454, 811, 269, 1358, 2995, 519, 29668, 518, 1018, 781, 8345, 1472, 519, 11442, 1286, 865, 621, 6487, 875, 547, 2746, 780, 3086, 1577, 781, 4952, 938, 11442, 1286, 2115, 547, 1246, 513, 1899, 6537, 593, 519, 6989, 269, 1280, 713, 4305, 267, 519, 11251, 1062, 1131, 2154, 1079, 1292, 3334, 910, 513, 9300, 547, 3713, 519, 1899, 543, 519, 29668, 518, 547, 1184, 519, 1239, 543, 27464, 519, 14743, 9935, 269, 1677, 3035, 713, 267, 8030, 1711, 513, 16419, 3070, 676, 8220, 1585, 2679, 7161, 1369, 519, 1062, 779, 6189, 269, 1452, 2679, 7161, 1331, 1384, 272, 269, 18452, 20905, 281, 22020, 602, 1683, 1344, 827, 5007, 2188, 971, 607, 8596, 563, 273, 269, 5843, 19055, 518, 5149, 630, 10157, 308, 2567, 589, 1507, 2780, 602, 3705, 1206, 11378, 543, 12958, 3617, 17016, 563, 274, 269, 19243, 20905, 281, 20668, 6417, 676, 14330, 5825, 899, 16546, 267, 8279, 267, 610, 10529, 563, 275, 269, 15350, 19590, 281, 19554, 2127, 1141, 5528, 543, 824, 1898, 1239, 616, 10710, 780, 2414, 1921, 3388, 267, 8030, 849, 991, 930, 11443, 543, 5752, 15441, 269, 654, 2231, 10141, 6786, 1063, 3457, 267, 6466, 7463, 9479, 2854, 538, 4654, 899, 595, 610, 5124, 2327, 15774, 5872, 1851, 782, 2609, 780, 3383, 1946, 798, 649, 1416, 827, 1620, 11251, 1949, 6189, 286, 1635, 1565, 875, 891, 15931, 569, 2966, 6191, 7500, 267, 8049, 8186, 899, 16523, 666, 1376, 29681, 909, 1007, 2081, 547, 3048, 622, 543, 4194, 1483, 8996, 2042, 1210, 2029, 269, 9320, 835, 1554, 9358, 786, 1374, 6158, 9162, 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 ]
[ 476, 272, 786, 2270, 519, 7222, 17831, 689, 799, 20772, 540, 602, 3625, 666, 581, 7229, 563, 296, 1589, 519, 1292, 2856, 568, 6045, 269, 634, 1964, 568, 9425, 2241, 269, 19321, 606, 8870, 5044, 589, 19559, 316, 609, 782, 2609, 3355, 1242, 547, 476, 271, 269, 2991, 2542, 782, 519, 2418, 540, 9149, 681, 328, 9337, 589, 5157, 316, 971, 602, 589, 5157, 316, 6645, 519, 1297, 540, 2053, 3625, 1775, 568, 547, 581, 11954, 269, 14780, 1047, 631, 547, 519, 1379, 589, 5157, 316, 585, 782, 7161, 543, 5173, 7222, 6788, 269, 1403, 4896, 568, 5461, 1934, 568, 519, 3009, 780, 10674, 2517, 4178, 6983, 1712, 3832, 325, 2593, 270, 1613, 338, 1828, 270, 28883, 8064, 274, 271, 692, 302, 3799, 317, 273, 266, 339, 16732, 30893, 25239, 266, 31343, 317, 273, 4297, 1141, 579, 568, 519, 1297, 540, 16975, 540, 524, 780, 10674, 2517, 4178, 6983, 1712, 3832, 325, 2593, 270, 1613, 338, 1828, 270, 275, 3066, 3199, 280, 278, 692, 7093, 4818, 1393, 281, 23481, 11664, 540, 715, 343, 301, 269, 630, 302, 3799, 317, 273, 11723, 2690, 1142, 1449, 2013, 1384, 272, 269, 1293, 519, 1297, 540, 19267, 1142, 1843, 568, 3238, 538, 269, 630, 302, 17347, 265, 333, 11723, 273, 269, 15652, 1496, 271, 22698, 264, 883, 2516, 676, 575, 7251, 9217, 22698, 1070, 10916, 1895, 2450, 543, 3328, 1871, 269, 630, 302, 15100, 2020, 274, 269, 1628, 579, 1535, 579, 5912, 5119, 267, 7384, 519, 5506, 540, 18302, 1063, 1142, 476, 273, 2516, 1310, 476, 271, 2507, 330, 10367, 630, 302, 17347, 265, 340, 317, 273, 11723, 275, 269, 12337, 519, 2503, 2681, 1310, 737, 19267, 269, 630, 302, 26086, 11723, 276, 269, 17412, 593, 1142, 1843, 543, 2009, 5862, 10659, 593, 602, 1843, 269, 630, 302, 17347, 265, 333, 11723, 275, 700, 10105, 692, 296, 4769, 1406, 946, 667, 303, 2676, 10674, 2517, 4178, 6983, 1712, 3832, 325, 2593, 270, 1613, 338, 1828, 270, 275, 2764, 13679, 278, 454, 320, 29499, 543, 5265, 967, 5034, 1151, 333, 269, 568, 1459, 1934, 692, 273, 700, 10105, 692, 287, 22563, 8500, 1556, 649, 616, 2810, 519, 5506, 540, 31185, 5157, 6012, 329, 6012, 263, 332, 265, 330, 264, 260, 290, 316, 952, 4994, 568, 1781, 4923, 538, 519, 15410, 269, 1131, 685, 660, 621, 1291, 547, 6175, 538, 519, 5506, 540, 1964, 540, 4778, 1317, 519, 14805, 566, 540, 5506, 540, 782, 4778, 693, 1142, 4994, 538, 1142, 1900, 568, 476, 272, 2496, 15124, 5850, 593, 667, 303, 543, 5506, 3069, 8627, 8729, 2507, 692, 14187, 2243, 267, 543, 1390, 7778, 692, 272, 6145, 692, 291, 29174, 5752, 568, 513, 3532, 1907, 267, 855, 594, 4043, 547, 2057, 621, 607, 1279, 607, 519, 3070, 3788, 16022, 269, 29203, 1934, 568, 519, 1482, 281, 744, 263, 298, 301, 6717, 6393, 3080, 540, 519, 1655, 9375, 10118, 1775, 723, 1224, 11489, 4266, 593, 667, 303, 269, 11289, 596, 692, 272, 6145, 692, 30750, 267, 1223, 596, 2285, 513, 2370, 1469, 540, 707, 2856, 2507, 1223, 711, 4137, 621, 856, 689, 707, 3009, 267, 2094, 1775, 3009, 538, 524, 653, 269, 8729, 2439, 289, 13512, 267, 1403, 2576, 666, 4137, 856, 875, 547, 5173, 2698, 4778, 950, 562, 568, 711, 6305, 267, 6988, 786, 2887, 547, 744, 263, 298, 301, 1040, 2334, 1131, 581, 1390, 780, 333, 823, 21107, 26008, 2241, 543, 2312, 692, 272, 6145, 692, 306, 9407, 621, 1210, 519, 1482, 1935, 269, 1809, 594, 1131, 2161, 267, 713, 568, 513, 1390, 7778, 540, 19845, 5183, 19860, 3070, 269, 22427, 569, 267, 835, 540, 519, 1655, 667, 303, 2861, 21107, 602, 594, 723, 1224, 269, 5901, 621, 909, 2507, 8627, 630, 344, 264, 2560, 692, 272, 6145, 692, 2710, 596, 1611, 585, 6305, 543, 1875, 17376, 830, 524, 286, 1280, 1875, 17376, 830, 524, 267, 1100, 2241, 4542, 267, 855, 519, 7954, 568, 2147, 269, 27539, 513, 3126, 540, 10311, 524, 271, 284, 272, 22698, 272, 267, 2507, 267, 1188, 267, 1577, 1019, 815, 575, 7251, 263, 857, 22698, 1070, 1019, 568, 513, 27708, 540, 524, 267, 543, 1875, 11546, 920, 2084, 269, 585, 2681, 524, 328, 543, 9337, 1535, 267, 952, 1535, 543, 524, 7933, 328, 568, 2941, 31870, 267, 1287, 1019, 568, 24240, 282, 6382, 267, 1019, 568, 16611, 676, 630, 343, 22698, 7933, 328, 1040, 538, 1312, 2665, 267, 782, 2338, 609, 1482, 1019, 814, 3160, 5506, 269, 6305, 524, 568, 1175, 513, 2027, 2013, 267, 1141, 1019, 538, 2715, 272, 22698, 20467, 8164, 1019, 2242, 689, 476, 272, 547, 524, 267, 2681, 2242, 547, 476, 271, 543, 3247, 733, 13681, 1081, 547, 519, 2040, 269, 6423, 1250, 3070, 2630, 780, 272, 6145, 0, 258, 27387, 281, 5517, 1681, 2243, 1210, 1035, 1505, 692, 272, 269, 12361, 5517, 1681, 2243, 1210, 1035, 1505, 692, 274, 343, 317, 273, 910, 275, 343, 1341, 272, 692, 763, 1259, 594, 1174, 713, 568, 602, 596, 9062, 476, 274, 543, 476, 272, 547, 1205, 476, 274, 269, 594, 849, 1174, 602, 476, 274, 263, 272, 264, 610, 476, 272, 263, 274, 264, 1131, 960, 676, 1152, 952, 789, 3773, 909, 547, 476, 275, 543, 941, 2111, 547, 581, 16611, 1927, 547, 1118, 476, 275, 630, 321, 343, 1040, 910, 274, 910, 272, 2306, 910, 275, 269, 1809, 910, 274, 8987, 272, 264, 2306, 476, 274, 269, 2060, 476, 274, 1373, 519, 3586, 594, 993, 2731, 10010, 547, 1118, 713, 3364, 960, 780, 763, 1433, 3947, 519, 2626, 607, 630, 274, 343, 268, 272, 7565, 343, 268, 272, 2020, 9827, 281, 594, 723, 513, 2147, 1966, 609, 476, 273, 343, 317, 273, 1341, 1556, 343, 910, 280, 281, 910, 273, 263, 280, 264, 543, 476, 273, 8987, 280, 264, 1810, 1405, 3100, 547, 581, 2324, 2901, 780, 27745, 581, 594, 6415, 1175, 22304, 1317, 594, 6415, 13110, 855, 594, 6415, 588, 22981, 780, 273, 269, 20323, 17397, 676, 769, 7970, 3326, 454, 274, 343, 317, 273, 910, 275, 343, 1341, 272, 692, 763, 1259, 594, 1174, 713, 568, 602, 596, 9062, 476, 274, 543, 476, 272, 547, 1205, 476, 274, 269, 594, 849, 1174, 602, 476, 274, 263, 272, 264, 610, 476, 272, 263, 274, 264, 1131, 960, 676, 1152, 952, 789, 3773, 909, 547, 476, 275, 543, 941, 2111, 547, 581, 16611, 1927, 547, 1118, 476, 275, 630, 321, 343, 1040, 910, 274, 910, 272, 2306, 910, 275, 269, 1809, 910, 274, 8987, 272, 264, 2306, 476, 274, 269, 2060, 476, 274, 1373, 519, 3586, 594, 993, 2731, 10010, 547, 1118, 713, 3364, 960, 780, 763, 1433, 3947, 519, 2626, 607, 630, 274, 343, 268, 272, 7565, 343, 268, 272, 2020, 9827, 281, 594, 723, 513, 2147, 1966, 609, 476, 273, 343, 317, 273, 1341, 1556, 343, 910, 280, 281, 910, 273, 263, 280, 264, 543, 476, 273, 8987, 280, 264, 1810, 1405, 3100, 547, 581, 2324, 2901, 780, 27745, 581, 594, 6415, 1175, 22304, 1317, 594, 6415, 13110, 855, 594, 6415, 588, 22981, 563, 2171, 8263, 972, 568, 513, 3070, 538, 9981, 780, 17780, 593, 513, 815, 476, 274, 267, 649, 666, 2569, 547, 835, 540, 891, 3029, 692, 263, 274, 343, 1341, 579, 264, 630, 343, 1341, 642, 994, 263, 274, 343, 1341, 579, 264, 630, 343, 910, 642, 994, 263, 274, 343, 910, 579, 264, 630, 343, 1341, 642, 994, 263, 274, 343, 910, 579, 264, 630, 343, 910, 642, 2020, 1721, 930, 2318, 9981, 579, 267, 341, 780, 17780, 593, 524, 815, 476, 272, 267, 621, 781, 835, 540, 891, 3029, 692, 263, 274, 343, 1341, 579, 264, 630, 343, 1341, 642, 994, 263, 274, 343, 910, 579, 264, 630, 343, 910, 642, 2020, 17780, 593, 2942, 536, 267, 621, 781, 713, 1106, 692, 263, 274, 343, 910, 579, 264, 630, 343, 910, 642, 2020, 763, 1152, 7872, 585, 579, 543, 642, 616, 630, 272, 267, 272, 6393, 9202, 2243, 281, 476, 273, 343, 317, 273, 1341, 1556, 343, 910, 280, 692, 263, 273, 343, 1341, 579, 264, 630, 343, 1341, 642, 994, 263, 273, 343, 1341, 579, 264, 630, 343, 910, 642, 994, 263, 273, 343, 910, 579, 264, 630, 343, 1341, 642, 994, 263, 273, 343, 910, 579, 264, 630, 343, 910, 642, 2020, 6533, 692, 263, 273, 343, 1341, 579, 264, 630, 343, 910, 642, 994, 263, 273, 343, 910, 579, 264, 630, 343, 1341, 642, 2020, 340, 267, 341, 815, 630, 272, 267, 280, 264, 610, 630, 274, 267, 274, 264, 610, 630, 280, 267, 272, 6393, 2791, 666, 1405, 1205, 536, 284, 1556, 1100, 2339, 1018, 596, 2119, 282, 713, 1281, 711, 3815, 23182, 538, 9981, 269, 630, 2791, 666, 1869, 3815, 1210, 13392, 3830, 547, 1265, 519, 1079, 19450, 5072, 4700, 0, 258, 7689, 3381, 692, 1103, 3356, 13718, 17098, 3025, 267, 594, 6415, 7323, 30683, 780, 8702, 547, 938, 13004, 3992, 267, 1354, 649, 1376, 513, 1705, 596, 917, 1249, 780, 9213, 781, 1249, 568, 267, 1705, 596, 917, 621, 568, 5156, 602, 3504, 21072, 1031, 1950, 13004, 971, 607, 7223, 543, 12980, 607, 2484, 1394, 607, 476, 4968, 271, 7460, 780, 302, 10798, 267, 1394, 547, 938, 13004, 3992, 2221, 780, 2690, 2221, 781, 3992, 267, 596, 786, 991, 513, 15513, 267, 513, 4062, 540, 1957, 543, 513, 2312, 29683, 780, 1103, 2221, 781, 3992, 267, 649, 786, 581, 10503, 519, 3601, 540, 476, 274, 291, 3337, 543, 950, 596, 2811, 4712, 267, 1577, 781, 1205, 3323, 780, 302, 10798, 267, 593, 5496, 1631, 972, 616, 1079, 5546, 780, 296, 1131, 899, 596, 547, 1589, 827, 1018, 781, 519, 1482, 827, 873, 543, 1018, 781, 1114, 780, 303, 1021, 707, 3381, 972, 543, 723, 513, 1589, 827, 621, 585, 803, 780, 302, 10798, 267, 865, 594, 917, 602, 519, 5546, 602, 649, 4312, 3893, 593, 5496, 616, 513, 13306, 543, 513, 4009, 780, 3383, 1577, 781, 723, 513, 1589, 827, 938, 13306, 1101, 267, 543, 865, 594, 4312, 3893, 513, 13306, 1934, 609, 803, 780, 2080, 568, 1250, 13306, 267, 865, 594, 917, 602, 513, 13306, 814, 3893, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 4009, 8188, 780, 296, 917, 602, 513, 13306, 814, 3893, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 14622, 267, 543, 594, 917, 621, 814, 3893, 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, 8728, 780, 4517, 594, 917, 602, 519, 3670, 8188, 649, 14437, 827, 616, 4009, 8188, 780, 302, 10798, 267, 865, 602, 781, 1250, 13306, 780, 3086, 594, 4312, 849, 3893, 513, 4009, 593, 5496, 780, 288, 4009, 814, 2185, 5011, 543, 2185, 14622, 267, 594, 917, 602, 1250, 13306, 568, 1614, 21021, 1317, 594, 666, 3180, 621, 538, 1250, 3946, 780, 4517, 594, 917, 602, 1250, 4009, 568, 1079, 21021, 267, 1317, 594, 3112, 3180, 621, 538, 1250, 3946, 780, 2005, 814, 1079, 7516, 267, 621, 814, 3259, 543, 8700, 780, 7069, 13306, 568, 1614, 21021, 1317, 621, 814, 3259, 267, 8700, 543, 4560, 780, 3080, 3364, 827, 873, 602, 568, 2147, 1498, 267, 568, 602, 538, 1250, 13306, 594, 4312, 3893, 4009, 8188, 780, 3383, 1250, 476, 273, 291, 4009, 666, 948, 547, 1118, 909, 519, 8188, 540, 1250, 476, 274, 291, 3337, 780, 302, 10798, 267, 1577, 781, 1847, 593, 780, 3383, 594, 4312, 3893, 513, 3099, 540, 476, 274, 291, 5546, 593, 519, 5496, 1631, 267, 543, 649, 616, 2469, 547, 723, 513, 1589, 827, 873, 267, 1589, 827, 741, 3601, 543, 1287, 594, 6415, 2469, 547, 4990, 873, 780, 3383, 782, 540, 519, 1114, 5546, 593, 5496, 267, 594, 723, 3893, 1483, 3283, 1934, 609, 803, 543, 649, 2811, 2469, 547, 723, 513, 1413, 693, 873, 1927, 780, 3383, 519, 1101, 3337, 594, 666, 1294, 568, 513, 13409, 267, 543, 594, 4312, 3893, 513, 13409, 1934, 609, 803, 267, 1934, 621, 568, 780, 3383, 594, 6415, 2469, 547, 1101, 540, 782, 2697, 519, 3601, 540, 1250, 13409, 780, 296, 917, 602, 1250, 13409, 814, 3893, 835, 6366, 3068, 543, 835, 17208, 3068, 267, 543, 1287, 519, 1448, 693, 519, 1283, 568, 606, 30085, 780, 2467, 616, 1100, 14622, 543, 972, 568, 835, 6316, 267, 865, 602, 781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 1554, 594, 16686, 2066, 606, 2025, 590, 2745, 4558, 1247, 29595, 998, 513, 14816, 32041, 267, 10478, 585, 1945, 547, 8141, 1250, 1719, 269, 9741, 1705, 594, 917, 602, 713, 9583, 4351, 7237, 1131, 5337, 924, 513, 13395, 6612, 602, 814, 4547, 803, 1312, 7772, 543, 17140, 936, 519, 2250, 8717, 780, 2026, 513, 10509, 27423, 945, 1185, 2141, 1044, 19832, 676, 5985, 3457, 267, 594, 729, 4278, 2683, 547, 3605, 513, 14951, 7708, 557, 540, 21305, 31942, 787, 1369, 1346, 796, 817, 11167, 6821, 269, 7324, 873, 941, 882, 923, 689, 606, 5736, 950, 590, 2745, 729, 1818, 24657, 585, 7432, 741, 6830, 17480, 1472, 910, 14342, 899, 519, 28932, 2426, 30982, 21741, 543, 16389, 971, 607, 519, 10226, 290, 5345, 334, 29196, 269, 3733, 2295, 986, 1027, 607, 594, 4371, 891, 4773, 540, 1686, 538, 1250, 3946, 267, 16487, 1394, 547, 513, 942, 1354, 1775, 4942, 2158, 13856, 519, 2344, 269, 898, 5433, 899, 588, 22824, 2390, 6456, 4154, 11113, 538, 606, 3504, 6928, 342, 516, 1188, 2439, 296, 2968, 18930, 539, 609, 10655, 1169, 2203, 594, 1223, 1265, 267, 1085, 28666, 552, 29074, 1592, 902, 267, 11504, 25880, 6455, 267, 543, 1256, 11495, 909, 7391, 609, 21046, 8876, 1018, 7902, 547, 581, 22573, 11436, 269, 4658, 1590, 723, 2219, 594, 729, 21173, 267, 855, 972, 729, 1945, 9642, 569, 17598, 827, 8497, 891, 2370, 21100, 540, 6639, 4720, 780, 3080, 12556, 995, 12784, 267, 1282, 835, 540, 1250, 2834, 19623, 1137, 547, 519, 2199, 25447, 6300, 267, 594, 1336, 8885, 3068, 3562, 19904, 609, 513, 7452, 344, 4216, 5627, 9039, 824, 982, 519, 13411, 1178, 559, 540, 1250, 4015, 1107, 606, 3312, 11197, 21236, 269, 4706, 31933, 1374, 8604, 3592, 9813, 3379, 547, 519, 4439, 5652, 3457, 4478, 621, 267, 14678, 2921, 803, 1394, 547, 19378, 22868, 262, 11599, 1883, 16694, 2232, 1141, 646, 5189, 621, 547, 519, 1158, 780, 7069, 10761, 3533, 5828, 11877, 267, 2705, 267, 950, 594, 7691, 519, 3926, 9327, 1405, 1379, 593, 1100, 2339, 875, 2182, 594, 6836, 269, 2677, 704, 622, 547, 2847, 633, 621, 267, 594, 31570, 2228, 15473, 4904, 609, 8284, 19216, 267, 17646, 651, 516, 3464, 267, 543, 7816, 4966, 269, 2991, 2395, 6170, 30076, 1585, 3435, 267, 594, 6368, 4362, 519, 1966, 281, 513, 2582, 4666, 6007, 1591, 2620, 3330, 519, 6049, 780, 30265, 539, 609, 16012, 8990, 267, 594, 7307, 547, 5372, 519, 25768, 5057, 543, 13236, 1272, 1394, 883, 1250, 17028, 7458, 15896, 269, 2334, 4090, 6026, 803, 811, 982, 1175, 2596, 11418, 7816, 282, 621, 4951, 803, 519, 2956, 540, 16177, 543, 4199, 6888, 267, 2523, 950, 13197, 938, 18653, 780, 3086, 12997, 267, 8164, 594, 1745, 27209, 610, 16397, 676, 2591, 538, 824, 3344, 540, 1250, 1272, 267, 594, 1589, 1394, 547, 602, 15112, 11244, 4090, 543, 7618, 8885, 602, 3006, 782, 649, 991, 568, 513, 4195, 5133, 543, 513, 3787, 540, 23969, 31294, 547, 7753, 9465, 269, 1656, 952, 4376, 3116, 14543, 267, 1134, 267, 972, 781, 2141, 1776, 16618, 17576, 7996, 547, 581, 11552, 691, 1117, 693, 519, 1985, 13452, 9042, 256, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 2237, 513, 5758, 1759, 593, 713, 2376, 1384, 291, 578, 13643, 3115, 29251, 281, 901, 5299, 568, 585, 707, 2123, 267, 1875, 10687, 14293, 946, 1152, 269, 1677, 1931, 6881, 268, 2819, 12215, 585, 3892, 547, 707, 9164, 267, 7218, 610, 5561, 267, 946, 519, 11352, 3115, 29251, 1907, 693, 519, 5377, 540, 1022, 2376, 610, 3643, 8940, 6155, 329, 516, 21646, 2593, 13466, 1475, 347, 590, 2745, 8921, 601, 29651, 269, 593, 13723, 4080, 922, 10545, 10116, 569, 2530, 538, 2185, 1296, 267, 607, 621, 4797, 513, 2490, 19925, 543, 6854, 3478, 1732, 693, 5329, 543, 19788, 5561, 269, 3097, 22322, 589, 28932, 2426, 30982, 21741, 16979, 568, 10268, 693, 519, 590, 2745, 4558, 538, 12942, 5069, 267, 7136, 1421, 13638, 267, 4239, 269, 476, 1839, 267, 476, 1001, 272, 269, 590, 2745, 568, 8989, 922, 10545, 10116, 569, 2530, 538, 2185, 1296, 267, 607, 621, 781, 11173, 513, 2490, 19925, 1862, 630, 10112, 18620, 4964, 264, 3097, 22322, 1323, 10226, 290, 5345, 334, 29196, 16335, 568, 10268, 693, 519, 590, 2745, 4558, 538, 12942, 5069, 267, 7136, 1421, 13638, 267, 4239, 269, 476, 1839, 267, 476, 1001, 272, 269, 590, 2745, 568, 8989, 922, 10545, 10116, 569, 2530, 538, 2185, 1296, 267, 607, 621, 781, 11173, 513, 2490, 19925, 1862, 630, 10112, 18620, 4964, 264, 3097, 22322, 590, 2745, 849, 3177, 1271, 10311, 593, 519, 21236, 267, 922, 1710, 4545, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 17138, 281, 1215, 547, 670, 836, 4934, 609, 15346, 4658, 692, 7072, 912, 295, 4474, 856, 609, 3579, 1004, 666, 581, 513, 14785, 1995, 602, 27862, 707, 1514, 1272, 543, 2123, 2208, 269, 901, 3391, 786, 1683, 596, 609, 2143, 3268, 543, 3730, 1344, 593, 875, 547, 13793, 856, 609, 3579, 1004, 269, 5457, 267, 1373, 9758, 543, 3020, 547, 3054, 568, 1898, 2429, 713, 1184, 269, 8528, 3721, 476, 272, 281, 10576, 5808, 519, 834, 290, 944, 4658, 257, 3657, 454, 29991, 945, 519, 3579, 1004, 616, 538, 707, 2146, 610, 1514, 5858, 269, 1452, 2043, 3335, 4865, 7907, 971, 607, 6015, 267, 1347, 1143, 320, 267, 11587, 267, 4987, 267, 543, 25273, 269, 1358, 949, 849, 723, 2189, 12348, 610, 4690, 602, 1305, 873, 6306, 689, 1866, 780, 7659, 9669, 912, 268, 3680, 11475, 950, 10747, 1018, 2306, 2576, 1412, 322, 944, 9538, 10312, 593, 7209, 7592, 543, 3527, 2864, 982, 21603, 2188, 899, 5920, 610, 8560, 563, 268, 6333, 11836, 15731, 267, 2516, 267, 610, 2950, 10704, 1472, 3838, 4690, 547, 2743, 1761, 10457, 811, 3362, 780, 3721, 476, 273, 281, 3763, 2637, 9334, 9314, 538, 4256, 22032, 454, 2414, 1921, 609, 3579, 1004, 267, 1397, 25442, 1719, 538, 741, 2729, 543, 2833, 269, 9105, 2055, 827, 741, 12348, 267, 18653, 267, 543, 10781, 269, 1635, 11744, 7279, 543, 6278, 267, 596, 6655, 2463, 543, 25621, 585, 741, 18517, 780, 7659, 13832, 912, 268, 19415, 8362, 1282, 7391, 282, 2226, 3750, 3346, 543, 2057, 19240, 630, 324, 3052, 1421, 10992, 707, 6049, 1916, 268, 9523, 4143, 23278, 4925, 689, 707, 1378, 1272, 1510, 2531, 3215, 519, 6643, 610, 1818, 621, 782, 827, 596, 780, 3721, 476, 274, 281, 4980, 10675, 2659, 13574, 23433, 9314, 338, 454, 6826, 5765, 851, 540, 513, 1895, 1419, 3340, 2348, 1945, 3407, 547, 3565, 269, 623, 2720, 826, 2238, 543, 1020, 1983, 602, 5447, 609, 707, 2418, 543, 17050, 269, 6787, 621, 781, 1565, 513, 1007, 1893, 267, 13215, 606, 6293, 267, 610, 24749, 585, 513, 2014, 2673, 547, 707, 2295, 1107, 891, 18697, 1118, 596, 4277, 543, 10694, 547, 1866, 780, 7659, 9669, 912, 268, 7994, 2238, 602, 22992, 10161, 543, 18663, 596, 269, 32425, 568, 21380, 2336, 268, 11657, 707, 3356, 676, 4687, 10311, 593, 1514, 2923, 610, 7234, 7835, 609, 2828, 269, 6250, 1043, 11428, 7512, 1866, 547, 1902, 942, 538, 3478, 547, 917, 596, 1732, 780, 3721, 476, 275, 281, 13724, 4317, 10341, 454, 19931, 2792, 4249, 513, 2629, 1909, 538, 2679, 3347, 269, 6657, 3742, 6947, 267, 7682, 4369, 267, 6568, 267, 543, 9644, 547, 7794, 707, 14375, 4296, 780, 7659, 13832, 912, 268, 2142, 13533, 540, 1560, 1893, 543, 11132, 7215, 1282, 4205, 269, 6348, 16812, 10291, 666, 3648, 1764, 875, 1866, 13498, 596, 563, 268, 6258, 547, 1224, 1514, 3871, 543, 4431, 14013, 269, 1280, 1383, 267, 5431, 950, 621, 781, 942, 547, 1689, 3584, 610, 1450, 2576, 3116, 547, 3717, 780, 3721, 476, 276, 281, 29934, 31999, 15638, 454, 5353, 2131, 3255, 547, 4497, 609, 3579, 1004, 538, 5468, 20009, 547, 8108, 6209, 4296, 269, 6733, 909, 2199, 2621, 1644, 547, 707, 3838, 4690, 543, 7390, 19771, 1141, 789, 1522, 581, 1459, 780, 7659, 9669, 912, 268, 3194, 2680, 3877, 25656, 547, 5965, 6158, 2798, 610, 2055, 563, 268, 667, 816, 2687, 547, 519, 8317, 543, 2141, 2832, 547, 1413, 25509, 2943, 3839, 780, 3721, 476, 277, 281, 9024, 5573, 22062, 725, 24553, 2685, 454, 10673, 1405, 7227, 585, 3579, 1004, 547, 1935, 596, 1107, 1491, 5279, 543, 6338, 3054, 18390, 269, 3399, 609, 513, 13680, 28551, 4553, 676, 513, 5360, 2939, 610, 2243, 1644, 547, 519, 2796, 780, 7659, 13832, 912, 268, 28423, 5693, 543, 24808, 707, 1913, 547, 2327, 2653, 1620, 563, 268, 2422, 1930, 25804, 2055, 602, 5000, 5188, 3079, 540, 2241, 9811, 270, 7224, 6114, 780, 3721, 476, 278, 281, 12706, 12791, 995, 17716, 3683, 5384, 454, 8505, 5782, 545, 17052, 2154, 4674, 543, 9639, 269, 8033, 28204, 20741, 707, 4296, 998, 2834, 5872, 267, 1489, 267, 543, 3838, 2833, 269, 1306, 3972, 9428, 267, 865, 1932, 786, 519, 3178, 540, 707, 6125, 780, 7659, 9669, 912, 268, 5901, 538, 5905, 3842, 1257, 6835, 267, 7125, 267, 610, 1514, 2923, 5867, 1063, 11401, 563, 268, 20644, 6351, 950, 2877, 543, 2769, 14696, 585, 741, 4527, 538, 707, 1272, 780, 6962, 912, 3528, 1739, 891, 3268, 267, 596, 3513, 2333, 707, 8458, 540, 16304, 856, 609, 3579, 1004, 1247, 6967, 3020, 547, 3054, 269, 22737, 13438, 267, 3251, 10770, 267, 543, 3314, 602, 9758, 4296, 1491, 942, 547, 11349, 269, 6153, 9939, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 295, 836, 4934, 609, 15346, 4658, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 8861, 1185, 2141, 26927, 3139, 540, 6679, 1200, 1378, 29221, 2044, 267, 855, 2713, 538, 513, 1507, 4884, 5921, 3908, 3723, 6808, 543, 1256, 7864, 5561, 269, 2701, 17388, 547, 1118, 7475, 2743, 267, 2324, 1279, 3108, 1169, 1554, 1152, 547, 18923, 1085, 7275, 676, 269, 898, 8604, 899, 1352, 1131, 2760, 581, 2111, 547, 1332, 1200, 1870, 543, 3035, 519, 1967, 1352, 5551, 780, 3080, 1554, 267, 1247, 29957, 998, 1200, 6049, 1282, 513, 4686, 4090, 540, 29987, 267, 8861, 16686, 2390, 606, 2376, 827, 875, 2029, 729, 30507, 1507, 4213, 269, 4173, 4064, 941, 5612, 6537, 547, 519, 3296, 827, 2518, 3914, 543, 552, 19645, 269, 16393, 713, 581, 519, 2626, 547, 1200, 19001, 2496, 4415, 17105, 4126, 267, 8861, 3459, 15388, 2081, 547, 1491, 1200, 29221, 2044, 2228, 269, 2701, 3533, 4362, 519, 1379, 540, 3059, 6725, 543, 6531, 7384, 269, 1635, 1210, 1514, 2923, 543, 6098, 18537, 267, 1352, 1223, 3914, 1761, 5561, 3544, 540, 1200, 7525, 1858, 269, 1656, 609, 6531, 7384, 267, 1352, 1223, 4383, 1200, 2228, 4527, 543, 11891, 1510, 17596, 547, 1902, 538, 7199, 8800, 543, 3301, 780, 2750, 322, 1243, 676, 519, 7399, 267, 8861, 6603, 856, 547, 513, 10509, 1606, 822, 11803, 3659, 3957, 5981, 945, 6035, 547, 948, 1200, 1305, 909, 606, 2228, 6300, 269, 3683, 11680, 540, 6995, 267, 789, 5941, 519, 1655, 1259, 547, 13686, 8861, 781, 8949, 13144, 543, 4482, 513, 9962, 6075, 3490, 780, 20694, 6700, 2870, 513, 5816, 1141, 8861, 1223, 2671, 10346, 543, 2984, 3297, 1142, 5137, 269, 1358, 849, 14437, 827, 5356, 5691, 11256, 5049, 267, 799, 1223, 1683, 3606, 8907, 12535, 543, 3715, 8861, 607, 606, 4274, 538, 1200, 2361, 780, 27880, 11688, 18469, 693, 1101, 267, 18516, 952, 1004, 1131, 581, 5461, 538, 1018, 1352, 1185, 547, 2709, 269, 1809, 1310, 930, 605, 323, 3429, 689, 5981, 267, 1352, 4956, 547, 2285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 268, 6218, 952, 972, 568, 1967, 563, 2467, 568, 513, 5539, 547, 581, 7580, 543, 5812, 609, 519, 1184, 865, 602, 281, 630, 320, 264, 4977, 4485, 616, 1031, 543, 630, 321, 264, 1022, 3606, 7028, 543, 2533, 602, 991, 547, 581, 3177, 616, 17956, 563, 2467, 616, 930, 4967, 1934, 630, 10964, 578, 264, 543, 811, 2139, 593, 519, 590, 4306, 2546, 563, 1607, 631, 4811, 306, 5057, 5161, 540, 7421, 1344, 547, 1118, 1585, 3664, 585, 519, 1062, 543, 922, 8639, 269, 769, 824, 1913, 267, 621, 568, 827, 5355, 1565, 2175, 543, 1565, 2833, 910, 2436, 602, 568, 585, 606, 1367, 630, 324, 3052, 1421, 513, 2875, 267, 513, 1920, 4759, 267, 610, 513, 5234, 4759, 264, 610, 585, 519, 2898, 1062, 630, 324, 3052, 1421, 1362, 17253, 267, 1153, 17253, 267, 610, 8664, 17253, 1040, 2986, 1576, 267, 519, 6643, 1058, 581, 5059, 593, 519, 1318, 1377, 281, 585, 1142, 1367, 610, 834, 3286, 835, 257, 610, 585, 519, 1062, 610, 834, 22336, 821, 8487, 1607, 5057, 568, 1034, 1922, 18526, 11855, 950, 15863, 547, 27800, 630, 305, 339, 296, 264, 568, 5941, 269, 3509, 1004, 723, 14311, 23938, 681, 339, 296, 609, 1966, 6061, 585, 25191, 2875, 7028, 269, 1306, 5018, 1657, 267, 602, 568, 835, 3498, 585, 1966, 6061, 267, 855, 711, 519, 1152, 3498, 269, 1656, 5248, 908, 681, 339, 296, 547, 1367, 2875, 7028, 1152, 568, 711, 875, 519, 12548, 4972, 540, 4065, 630, 7374, 292, 264, 8385, 5189, 681, 339, 296, 269, 1717, 267, 519, 2875, 7400, 1445, 585, 681, 339, 296, 814, 1831, 513, 6093, 1259, 681, 339, 296, 568, 14648, 543, 5941, 538, 12548, 563, 3080, 1455, 31605, 568, 602, 4578, 15369, 9046, 14572, 543, 17423, 5336, 1136, 630, 24174, 4916, 19699, 264, 568, 1152, 827, 602, 835, 1377, 540, 3498, 281, 1966, 6061, 585, 1367, 2875, 2115, 269, 1809, 713, 5057, 323, 3996, 711, 1152, 4019, 547, 2875, 10391, 7028, 563, 21156, 267, 621, 1058, 581, 7074, 602, 519, 1482, 476, 275, 9912, 1184, 630, 1993, 16294, 267, 21302, 267, 25956, 267, 543, 21414, 264, 666, 543, 1058, 581, 4294, 547, 782, 2157, 281, 1367, 2875, 267, 2516, 540, 1053, 610, 824, 8639, 267, 4928, 17253, 267, 2066, 519, 3446, 7400, 267, 1153, 17253, 267, 585, 5234, 532, 267, 585, 3292, 267, 585, 1949, 267, 543, 8664, 17253, 563, 1607, 10206, 568, 4502, 18110, 1317, 621, 568, 1018, 2306, 513, 3017, 609, 1620, 269, 1403, 519, 1482, 1184, 666, 581, 1031, 538, 865, 1082, 1114, 2081, 267, 1287, 1004, 666, 581, 1360, 6899, 609, 519, 3268, 267, 1210, 621, 9846, 543, 3927, 910, 2679, 519, 1983, 602, 616, 2877, 547, 1118, 1434, 5079, 543, 2087, 4093, 269, 5015, 267, 713, 1184, 666, 543, 1058, 581, 8045, 585, 1053, 945, 616, 7900, 693, 1114, 2157, 267, 711, 1175, 10010, 6267, 269, 898, 568, 513, 7242, 602, 519, 1184, 568, 1152, 6700, 585, 946, 609, 1978, 1053, 267, 2875, 2516, 267, 610, 4161, 2127, 269, 5457, 602, 519, 1482, 2185, 3268, 666, 581, 1031, 609, 1966, 6061, 543, 3375, 6194, 585, 1022, 543, 782, 6267, 543, 609, 4079, 563, 1103, 713, 5057, 267, 4079, 616, 4397, 547, 8362, 12840, 282, 2500, 2319, 532, 1058, 581, 3989, 543, 2919, 269, 1403, 972, 616, 2635, 6887, 2324, 1927, 538, 1489, 540, 513, 1455, 3804, 267, 621, 568, 811, 6438, 569, 547, 3035, 2164, 269, 1879, 23712, 1134, 267, 972, 568, 11007, 543, 3589, 1464, 269, 4658, 1745, 811, 8746, 543, 4712, 547, 7119, 1317, 789, 917, 1018, 547, 2503, 543, 875, 789, 666, 3565, 269, 1306, 729, 5018, 1657, 267, 1239, 568, 513, 13654, 3693, 538, 713, 5057, 269, 1656, 950, 2502, 538, 2238, 1644, 547, 24766, 4916, 19699, 267, 6296, 946, 540, 1239, 786, 948, 513, 2319, 269, 13437, 630, 528, 834, 719, 2492, 8442, 1239, 543, 535, 23474, 630, 528, 834, 338, 16291, 6765, 257, 610, 834, 574, 921, 7695, 8442, 1239, 1058, 581, 2808, 2429, 630, 324, 3052, 1421, 1282, 4058, 543, 950, 10992, 593, 3356, 1040, 30581, 602, 946, 1239, 2226, 513, 1445, 593, 14422, 543, 593, 1818, 5483, 3664, 563, 22117, 11429, 6887, 267, 12333, 4804, 18877, 630, 303, 9448, 338, 1070, 3446, 7400, 610, 8257, 6887, 267, 543, 824, 6887, 949, 4497, 538, 24766, 4916, 19699, 269, 769, 1840, 547, 1346, 2319, 532, 3889, 267, 972, 616, 6887, 538, 3506, 602, 616, 4481, 1673, 539, 5344, 547, 1210, 2319, 2861, 1966, 6061, 585, 1053, 945, 949, 991, 14556, 1881, 7028, 269, 1452, 6887, 267, 3335, 5219, 547, 607, 9906, 8081, 30581, 630, 306, 4306, 338, 264, 538, 570, 16256, 267, 2291, 547, 2327, 25191, 2875, 7028, 616, 18113, 543, 8308, 4491, 3660, 585, 1053, 945, 723, 4857, 2115, 3564, 1346, 602, 616, 1134, 17907, 3042, 543, 6462, 998, 8471, 7028, 563, 10303, 590, 4306, 338, 616, 5497, 585, 811, 25673, 1489, 2157, 267, 1142, 2875, 1058, 4309, 1655, 1101, 6044, 998, 6209, 1565, 2833, 1991, 547, 606, 590, 4306, 2502, 538, 519, 24766, 4916, 19699, 1184, 585, 606, 1367, 2875, 563, 10112, 612, 267, 21302, 267, 543, 26969, 4675, 2176, 454, 10376, 1362, 1369, 519, 1153, 630, 663, 519, 1153, 267, 607, 513, 2898, 264, 1058, 2327, 6015, 538, 519, 1153, 781, 3646, 267, 676, 912, 268, 1210, 9342, 2861, 267, 23833, 4485, 281, 5275, 547, 15407, 2043, 262, 7221, 543, 547, 834, 2181, 1203, 257, 9465, 547, 1565, 676, 4259, 909, 2318, 2175, 585, 1565, 910, 689, 1374, 998, 6765, 543, 4879, 630, 528, 834, 24834, 340, 725, 540, 1565, 8442, 3248, 268, 7598, 3292, 543, 2853, 21825, 281, 676, 1739, 1374, 4566, 267, 1373, 7580, 267, 543, 1114, 11868, 267, 607, 2877, 282, 543, 454, 268, 10442, 5752, 543, 3028, 6765, 267, 547, 12172, 543, 13182, 952, 1018, 568, 1373, 2944, 568, 1373, 2944, 1134, 543, 607, 5497, 630, 328, 4318, 1421, 535, 23474, 547, 2327, 1764, 1916, 4517, 952, 513, 2875, 781, 991, 4433, 264, 6414, 4433, 264, 910, 1310, 1585, 2994, 723, 1044, 3177, 267, 621, 949, 581, 5462, 602, 519, 2875, 1223, 4324, 689, 811, 14021, 7028, 269, 634, 590, 4306, 1131, 1287, 4497, 538, 24766, 4916, 19699, 547, 12172, 1018, 1522, 1655, 2743, 519, 2875, 781, 991, 4433, 1916, 9616, 281, 901, 568, 711, 513, 29748, 547, 2027, 2069, 282, 631, 4811, 306, 24766, 4916, 19699, 267, 1031, 585, 519, 5301, 602, 723, 1044, 3957, 1657, 267, 543, 519, 946, 540, 519, 1966, 6061, 1184, 676, 590, 4306, 338, 568, 711, 834, 1492, 13374, 547, 2027, 2069, 2668, 634, 1184, 568, 513, 7580, 267, 7014, 539, 1505, 540, 4058, 267, 7598, 267, 543, 10442, 7028, 269, 634, 1184, 949, 4217, 538, 8159, 952, 29433, 7028, 3564, 17629, 630, 307, 1512, 476, 272, 264, 3514, 267, 855, 519, 1184, 949, 849, 7866, 602, 2500, 570, 1512, 476, 272, 7028, 630, 29671, 264, 616, 6190, 563, 19425, 1882, 1570, 630, 338, 7428, 476, 1001, 280, 1606, 7428, 476, 1708, 274, 994, 1103, 7672, 2630, 616, 630, 273, 264, 10046, 21476, 602, 4766, 519, 1184, 540, 7028, 585, 1367, 2875, 1967, 267, 799, 5956, 609, 8471, 6044, 269, 17290, 5583, 827, 2027, 2069, 8446, 568, 849, 26518, 630, 514, 519, 590, 4306, 2095, 4786, 1916, 4910, 1830, 281, 901, 568, 513, 30334, 585, 713, 631, 4811, 306, 3281, 9426, 543, 519, 9046, 14572, 6713, 630, 15037, 476, 1708, 271, 5148, 1454, 540, 1018, 568, 593, 713, 2546, 568, 3769, 267, 2059, 609, 3606, 9270, 563, 11045, 2176, 585, 2875, 1967, 543, 9906, 8081, 12243, 630, 306, 4306, 264, 5773, 1246, 513, 1184, 602, 729, 2813, 676, 513, 3444, 1673, 626, 2774, 5718, 1895, 563, 8450, 519, 25417, 9906, 11773, 6713, 630, 6503, 264, 4786, 543, 519, 590, 4306, 6713, 630, 6503, 264, 4786, 585, 3877, 827, 875, 6106, 540, 7028, 1058, 581, 3177, 547, 1489, 1367, 1053, 543, 585, 6127, 547, 1246, 585, 590, 4306, 338, 563, 263, 9616, 281, 634, 2095, 7851, 616, 849, 3769, 538, 519, 5583, 3561, 5532, 1657, 8094, 8196, 519, 13445, 10624, 547, 2070, 824, 631, 4811, 306, 3817, 269, 630, 2791, 949, 991, 547, 4945, 593, 519, 7132, 1129, 22791, 264, 547, 4228, 519, 3681, 8094, 15056, 631, 4811, 306, 3896, 281, 3312, 9736, 14400, 476, 1001, 280, 267, 19534, 4676, 3306, 4611, 538, 2985, 5786, 270, 8145, 15772, 281, 14400, 476, 1708, 274, 0, 11917, 16633, 281, 6519, 18073, 568, 835, 540, 519, 9510, 2713, 3529, 2249, 1336, 538, 28599, 267, 7330, 269, 898, 5631, 9428, 538, 519, 16422, 21622, 9503, 1369, 3235, 10999, 1713, 2067, 2127, 971, 607, 8544, 545, 10036, 10750, 7733, 543, 3819, 646, 6447, 1442, 27984, 752, 7733, 269, 901, 1788, 6663, 547, 29289, 4540, 3043, 18073, 12225, 3098, 689, 519, 16422, 21622, 9503, 538, 1931, 547, 7520, 519, 4687, 540, 3529, 8258, 2208, 1239, 540, 713, 1279, 24331, 2249, 269, 898, 568, 938, 4126, 547, 1039, 811, 28599, 3043, 18073, 12225, 3098, 547, 713, 1788, 563, 32459, 7625, 15766, 1807, 281, 5576, 629, 1120, 267, 623, 14371, 1421, 631, 3120, 330, 9564, 267, 623, 12171, 1421, 17713, 523, 267, 595, 12171, 1421, 667, 685, 288, 3901, 334, 267, 589, 15030, 1421, 543, 25371, 267, 670, 12171, 563, 27775, 2105, 27375, 281, 5576, 629, 1120, 267, 623, 14371, 1421, 631, 3120, 330, 9564, 267, 623, 12171, 1421, 17713, 523, 267, 595, 12171, 1421, 667, 685, 288, 3901, 334, 267, 589, 15030, 1421, 543, 25371, 267, 670, 12171, 269, 476, 1001, 277, 269, 6519, 18073, 12225, 3098, 540, 519, 16422, 21622, 9503, 540, 28599, 563, 19061, 12937, 281, 4578, 585, 476, 275, 1773, 1824, 267, 476, 7871, 19029, 267, 476, 10482, 595, 2803, 454, 19061, 11270, 281, 476, 1001, 277, 268, 4905, 268, 4905, 547, 476, 1822, 271, 268, 876, 268, 876, 454, 10574, 17821, 281, 1548, 781, 713, 888, 20373, 281, 901, 568, 513, 4015, 540, 3043, 18073, 23780, 6394, 538, 519, 16422, 21622, 9503, 540, 28599, 269, 5565, 4054, 538, 713, 4015, 666, 581, 18584, 1394, 547, 476, 14917, 273, 543, 476, 14321, 271, 609, 835, 1367, 4440, 23608, 1354, 519, 1032, 476, 15647, 271, 563, 268, 476, 1001, 280, 8160, 584, 2001, 267, 670, 269, 674, 1421, 543, 589, 269, 654, 269, 667, 262, 288, 3901, 334, 269, 476, 1001, 280, 269, 5776, 6384, 543, 2497, 540, 1079, 3119, 16422, 21622, 9503, 10036, 21622, 7733, 267, 28599, 269, 17368, 14665, 7849, 626, 476, 2918, 281, 4817, 268, 12893, 7348, 454, 307, 19414, 5669, 3044, 1031, 281, 22340, 12518, 18482, 454, 1692, 13602, 941, 5697, 281, 5576, 629, 1120, 13602, 941, 6074, 547, 1683, 513, 3376, 6041, 540, 9921, 3043, 18073, 4054, 538, 519, 16422, 21622, 9503, 540, 28599, 269, 19791, 609, 513, 1634, 1686, 540, 2359, 936, 519, 2250, 1896, 5756, 941, 14284, 269, 634, 667, 685, 288, 3901, 334, 4729, 729, 6074, 607, 835, 540, 519, 1655, 1806, 540, 513, 3735, 1606, 15471, 1308, 14860, 10036, 21622, 4104, 538, 519, 16422, 21622, 9503, 563, 1692, 4054, 941, 5697, 281, 1280, 519, 5576, 629, 1120, 13602, 267, 5111, 476, 1428, 268, 736, 8789, 543, 1071, 1673, 11395, 4054, 941, 5697, 269, 667, 685, 288, 3901, 334, 4054, 941, 6074, 952, 3152, 982, 476, 1015, 4699, 24766, 295, 563, 2750, 2424, 540, 4054, 630, 604, 1022, 2567, 1280, 519, 5576, 629, 1120, 13602, 267, 4054, 609, 1630, 548, 610, 13862, 3441, 941, 16934, 563, 1692, 23780, 941, 6394, 281, 1280, 5576, 629, 1120, 4054, 267, 1079, 476, 276, 6515, 27261, 23780, 941, 13939, 689, 1142, 3529, 693, 6089, 4463, 267, 476, 5197, 4113, 689, 1142, 824, 267, 543, 13902, 547, 519, 9386, 269, 1280, 519, 1079, 667, 685, 288, 3901, 334, 4054, 267, 513, 2582, 27261, 4295, 729, 3144, 693, 476, 271, 269, 274, 544, 563, 1692, 23780, 941, 9268, 281, 9214, 618, 23780, 941, 12015, 267, 15841, 543, 5070, 539, 1210, 3044, 2409, 269, 10326, 14034, 941, 11617, 3444, 13768, 1210, 519, 1592, 1505, 267, 9145, 641, 1227, 6027, 1210, 513, 20653, 332, 1410, 23510, 3942, 1770, 543, 12763, 297, 273, 311, 3301, 630, 271, 269, 9826, 6515, 6571, 264, 4553, 676, 519, 946, 540, 2910, 293, 4488, 11190, 547, 3713, 543, 2953, 3444, 323, 908, 6959, 269, 634, 667, 685, 288, 3901, 334, 5439, 941, 19882, 609, 513, 7404, 5576, 629, 1120, 3135, 585, 3444, 323, 908, 3842, 2910, 293, 4488, 11190, 563, 2750, 2424, 540, 23780, 630, 604, 1022, 2567, 3143, 563, 3849, 4765 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 888, 268, 1548, 568, 519, 2063, 1899, 538, 519, 13957, 6969, 8285, 888, 268, 5808, 2731, 5206, 519, 3781, 1354, 8285, 888, 268, 4208, 798, 789, 1289, 13244, 1849, 9476, 918, 5142, 918, 2590, 548, 888, 268, 1548, 1281, 13244, 1413, 899, 519, 1483, 13244, 888, 268, 7316, 568, 1483, 13244, 1849, 9476, 888, 268, 1548, 2681, 729, 13244, 1849, 9476, 9290, 8385, 888, 268, 12984, 13244, 1849, 9476, 2479, 4544, 888, 268, 4208, 1281, 13244, 5957, 2699, 543, 3043, 888, 268, 1548, 568, 519, 3943, 2012, 585, 13244, 1849, 9476, 888, 268, 1548, 568, 13244, 1572, 538, 3567, 888, 268, 1548, 2477, 3494, 538, 13244, 1849, 9476, 888, 268, 1548, 568, 13244, 1572, 538, 3624, 888, 268, 1548, 4984, 568, 17049, 538, 3624, 888, 268, 1684, 4457, 3494, 538, 13244, 888, 268, 1548, 2197, 22842, 519, 13074, 8285, 888, 268, 1548, 568, 519, 8285, 3854, 540, 519, 1158, 888, 268, 1548, 2477, 8661, 8285, 593, 5412, 476, 1839, 888, 268, 1548, 2197, 9976, 8285, 1101, 888, 1432, 729, 3828, 553, 519, 13957, 6969, 8285, 8385, 1572, 888, 301, 747, 15614, 267, 538, 2407, 10055, 540, 513, 16731, 689, 853, 269, 22956, 282, 849, 1572, 634, 13957, 6969, 8285, 610, 2048, 307, 13195, 519, 13957, 6969, 8285, 267, 2239, 6648, 1101, 3370, 26687, 3585, 538, 519, 31684, 630, 6124, 3840, 264, 13329, 514, 601, 593, 5412, 476, 2537, 267, 476, 9264, 274, 563, 24078, 519, 13957, 6969, 8285, 6648, 888, 8072, 307, 13195, 519, 13957, 6969, 8285, 630, 288, 16731, 264, 9509, 7313, 655, 269, 711, 513, 13442, 729, 28817, 267, 711, 1256, 513, 10856, 269, 634, 6006, 902, 941, 8288, 676, 519, 16403, 2284, 609, 1416, 267, 538, 13922, 602, 853, 563, 24078, 519, 13957, 6969, 8285, 1257, 888, 8253, 513, 13442, 729, 28817, 267, 711, 1256, 513, 10856, 282, 634, 6006, 902, 941, 8288, 676, 519, 16403, 2284, 609, 1416, 267, 769, 13922, 602, 853, 563, 1432, 568, 519, 2063, 1899, 538, 519, 13957, 6969, 8285, 888, 30560, 787, 8285, 547, 782, 454, 8005, 2731, 5206, 519, 3781, 1354, 8285, 888, 290, 2211, 22548, 651, 18703, 454, 3963, 798, 789, 1289, 13244, 1849, 9476, 918, 5142, 918, 2590, 548, 888, 763, 10656, 12038, 519, 2012, 968, 306, 5593, 21208, 7637, 553, 892, 1360, 3728, 269, 898, 32131, 899, 968, 306, 5793, 330, 5055, 553, 1848, 1656, 865, 267, 950, 519, 2296, 1767, 713, 2262, 267, 621, 32131, 899, 13244, 1849, 9476, 269, 2991, 513, 942, 267, 713, 2968, 968, 298, 5142, 918, 2590, 548, 1848, 13536, 267, 918, 5142, 918, 2590, 548, 2968, 1776, 2012, 585, 13244, 1849, 9476, 5128, 563, 1432, 1281, 13244, 1413, 899, 519, 1483, 13244, 888, 306, 9017, 1849, 9476, 568, 3622, 13269, 607, 513, 2823, 569, 267, 795, 14709, 267, 3043, 15515, 12023, 812, 267, 1419, 609, 4715, 8163, 267, 9849, 513, 2699, 10359, 609, 3043, 9663, 27897, 543, 524, 32332, 267, 3043, 1922, 584, 2275, 4428, 539, 2699, 5538, 338, 619, 267, 2699, 11058, 609, 3043, 9663, 267, 543, 3109, 16463, 12966, 543, 25192, 267, 8876, 513, 9126, 2407, 540, 13344, 585, 1453, 563, 8489, 568, 1483, 13244, 1849, 9476, 888, 8133, 267, 13244, 1849, 9476, 568, 1483, 269, 634, 1483, 2012, 540, 13244, 1849, 9476, 729, 12142, 22956, 267, 849, 1634, 607, 918, 5142, 918, 2590, 548, 269, 634, 1650, 7389, 1394, 547, 519, 476, 274, 6113, 2540, 269, 12142, 22956, 729, 4535, 538, 476, 18231, 589, 6185, 269, 538, 4793, 4673, 267, 2282, 3733, 571, 538, 2413, 6377, 11894, 563, 1432, 2681, 729, 13244, 1849, 9476, 9290, 8385, 888, 26212, 547, 715, 770, 779, 960, 267, 13244, 779, 28459, 729, 16009, 538, 2681, 267, 543, 621, 729, 646, 602, 4957, 621, 547, 2699, 267, 4352, 646, 849, 16668, 13244, 538, 513, 3039, 9290, 269, 901, 1689, 568, 1419, 19451, 569, 11911, 547, 519, 960, 540, 670, 5417, 517, 9530, 4565, 558, 267, 945, 16668, 2592, 540, 13244, 538, 10229, 585, 519, 595, 10087, 4211, 7637, 7577, 2094, 476, 4350, 272, 563, 24078, 13244, 1849, 9476, 2479, 4544, 888, 23389, 11082, 4547, 13244, 1849, 9476, 19562, 1149, 547, 11882, 538, 519, 476, 5197, 271, 338, 543, 2899, 899, 519, 4544, 13244, 941, 1500, 12725, 269, 634, 8689, 540, 519, 1977, 23625, 31733, 7467, 3081, 519, 4544, 2681, 729, 2757, 585, 519, 4436, 4528, 540, 853, 269, 22956, 269, 898, 779, 631, 3036, 301, 5058, 11581, 296, 3582, 689, 715, 11266, 5240, 563, 3963, 1281, 13244, 5957, 2699, 543, 3043, 888, 301, 1157, 3366, 547, 606, 3239, 540, 513, 3636, 267, 7874, 267, 16990, 569, 726, 2794, 543, 1480, 13244, 269, 630, 4517, 1256, 1498, 621, 779, 1419, 1767, 602, 13244, 31273, 513, 2699, 10359, 1317, 2699, 568, 519, 2681, 540, 595, 10087, 4211, 7637, 267, 13244, 7902, 538, 513, 2699, 10359, 1354, 9530, 4565, 558, 13556, 1864, 8094, 1432, 568, 519, 3943, 2012, 585, 13244, 1849, 9476, 888, 1432, 568, 13244, 1572, 538, 3567, 888, 1432, 2477, 3494, 538, 13244, 1849, 9476, 888, 2080, 568, 513, 1592, 540, 930, 540, 519, 4408, 13244, 4422, 676, 538, 824, 2477, 602, 2671, 1010, 10828, 563, 268, 13244, 1849, 9476, 267, 2136, 2276, 540, 3013, 563, 268, 667, 539, 339, 5651, 9926, 267, 6576, 563, 268, 631, 1731, 592, 27222, 267, 21640, 563, 268, 14466, 2967, 3143, 601, 267, 8478, 563, 268, 670, 1774, 3930, 14833, 267, 3567, 563, 268, 7325, 523, 23579, 267, 16157, 563, 268, 623, 27056, 3143, 25612, 331, 267, 5333, 563, 268, 3143, 601, 9040, 320, 267, 11894, 563, 1432, 568, 13244, 1572, 538, 3624, 888, 9515, 978, 15854, 5487, 334, 15646, 454, 1432, 4984, 568, 17049, 538, 3624, 888, 7197, 6803, 17230, 753, 2259, 513, 3982, 1106, 540, 13221, 267, 25307, 13221, 269, 634, 772, 662, 2720, 267, 945, 5097, 2661, 538, 519, 2473, 514, 10202, 836, 32534, 16323, 267, 616, 15866, 7332, 269, 3683, 513, 18797, 3909, 610, 5289, 2516, 616, 17049, 538, 3624, 607, 968, 5271, 559, 1381, 338, 2223, 1519, 24415, 684, 717, 784, 543, 519, 5783, 540, 31471, 26663, 2696, 563, 2710, 4457, 3494, 538, 13244, 888, 763, 7242, 540, 519, 2025, 267, 795, 14709, 267, 3170, 812, 21039, 538, 2699, 267, 12946, 13344, 585, 782, 519, 1134, 15515, 6409, 539, 1453, 540, 519, 1158, 267, 814, 1500, 922, 1259, 547, 3624, 538, 2487, 1296, 269, 3502, 1169, 4819, 11099, 538, 13244, 1849, 9476, 267, 855, 519, 7242, 568, 1869, 513, 19644, 8285, 2245, 543, 2337, 2285, 519, 9702, 513, 9589, 4743, 563, 1432, 2197, 22842, 519, 13074, 8285, 888, 1432, 568, 519, 8285, 3854, 540, 519, 1158, 888, 1432, 2477, 8661, 8285, 593, 5412, 476, 1839, 888, 763, 28435, 20379, 267, 519, 6805, 1004, 540, 32720, 9459, 267, 7187, 12925, 267, 27040, 16850, 267, 543, 25878, 11894, 602, 4866, 547, 519, 28435, 6929, 5783, 540, 519, 5101, 267, 9147, 5783, 540, 519, 5101, 267, 5204, 686, 659, 18179, 5783, 267, 543, 30634, 1372, 534, 7826, 5783, 2221, 8661, 8285, 593, 5412, 476, 1839, 563, 1432, 2197, 9976, 8285, 1101, 888, 763, 11812, 540, 8285, 3323, 538, 7507, 827, 476, 28656, 267, 855, 621, 1705, 711, 1831, 513, 2101, 4168, 13037, 2394, 519, 476, 280, 628, 2540, 269, 0, 14154, 693, 10748, 2917, 6663, 547, 1020, 519, 1702, 267, 1983, 543, 7207, 2556, 585, 2790, 267, 3929, 267, 1514, 543, 2168, 8171, 538, 938, 1453, 1631, 543, 585, 741, 2104, 269, 8447, 8516, 568, 606, 1271, 851, 540, 3056, 513, 8902, 6197, 269, 898, 11414, 1582, 16162, 23002, 543, 602, 547, 581, 3811, 596, 1590, 960, 2182, 267, 1397, 6043, 543, 723, 519, 8990, 547, 3494, 602, 4376, 666, 581, 6913, 563, 2005, 568, 938, 8247, 547, 4001, 1453, 1272, 1983, 602, 786, 9797, 1764, 593, 741, 2104, 269, 1284, 2832, 547, 5838, 1164, 7779, 3450, 543, 1565, 3255, 602, 8300, 782, 1453, 547, 8011, 538, 2168, 2238, 269, 1284, 1616, 547, 4001, 1453, 875, 547, 28111, 543, 12840, 609, 1866, 267, 607, 851, 540, 513, 2319, 267, 1620, 14619, 543, 9698, 540, 1404, 547, 7842, 1272, 17489, 2418, 269, 32167, 2812, 7119, 538, 12353, 1164, 2298, 18027, 543, 23242, 2238, 269, 3776, 18027, 10872, 16621, 513, 3099, 540, 5026, 547, 2327, 782, 1453, 1020, 519, 6015, 267, 10892, 543, 519, 7071, 540, 741, 1378, 543, 1866, 685, 9342, 543, 12755, 269, 1284, 1683, 3255, 585, 782, 1453, 547, 4497, 538, 3063, 268, 22793, 2238, 1354, 267, 1282, 543, 1310, 1153, 267, 538, 1840, 547, 8013, 23242, 2621, 269, 901, 568, 606, 8537, 1935, 799, 14365, 2293, 547, 5000, 711, 1152, 2168, 1646, 855, 849, 1134, 5630, 563, 5472, 1453, 4309, 1079, 3108, 540, 2168, 2069, 513, 3018, 269, 1452, 4245, 616, 9447, 2901, 676, 1362, 3610, 610, 11285, 18027, 19393, 267, 945, 723, 4274, 1702, 543, 616, 14916, 8036, 538, 519, 2127, 540, 519, 6437, 789, 4001, 563, 3963, 568, 18027, 6026, 519, 1259, 649, 4001, 621, 888, 14154, 568, 513, 2101, 851, 540, 10748, 2917, 779, 6437, 269, 898, 2488, 10453, 609, 519, 4316, 547, 1451, 875, 547, 581, 3811, 5171, 538, 2168, 2534, 543, 1491, 851, 538, 1007, 5026, 269, 623, 9950, 693, 938, 1153, 2337, 938, 1453, 547, 1174, 1018, 2168, 2534, 5654, 899, 267, 7959, 899, 267, 543, 875, 609, 2259, 789, 616, 2111, 547, 2087, 741, 1367, 543, 2319, 2773, 547, 3914, 1164, 2298, 4093, 269, 634, 2898, 1153, 786, 2253, 547, 1995, 513, 2039, 540, 27590, 10415, 267, 7544, 543, 3756, 2238, 269, 1358, 786, 581, 2111, 547, 6542, 2596, 5322, 543, 2253, 547, 3095, 1983, 1927, 547, 960, 2509, 606, 5497, 6364, 269, 1358, 786, 1376, 547, 1174, 519, 4170, 540, 2324, 1369, 1114, 1895, 6384, 563, 3528, 519, 942, 10453, 3914, 1296, 476, 276, 543, 476, 277, 789, 786, 723, 513, 2620, 543, 9867, 18027, 1995, 269, 1358, 786, 581, 2111, 547, 1289, 2390, 606, 3573, 2039, 540, 1983, 543, 3095, 891, 1927, 547, 1685, 811, 1950, 5322, 543, 4247, 269, 1358, 786, 723, 519, 6015, 547, 960, 1134, 1369, 513, 3099, 540, 1895, 6384, 543, 4019, 28365, 543, 2054, 673, 3206, 538, 513, 2039, 540, 8658, 896, 2604, 269, 32167, 2812, 786, 581, 2111, 6218, 741, 1378, 2773, 543, 602, 540, 1866, 563, 1432, 2306, 10748, 2917, 779, 3795, 270, 1952, 25209, 547, 18027, 2500, 888, 27832, 976, 616, 9709, 547, 3382, 519, 3084, 6437, 4798, 540, 7619, 923, 267, 7544, 267, 27590, 10415, 267, 744, 8150, 630, 11073, 21830, 13491, 24854, 11242, 264, 543, 3756, 630, 6339, 1299, 13665, 267, 12289, 543, 11495, 1299, 2361, 532, 1040, 634, 6437, 15109, 519, 2956, 540, 1312, 519, 4560, 543, 3178, 540, 1565, 269, 1703, 568, 606, 476, 272, 5662, 7886, 585, 1142, 1362, 269, 634, 1362, 3610, 20205, 513, 6626, 18027, 3992, 799, 6227, 513, 2039, 540, 3344, 689, 782, 1888, 2127, 1519, 7544, 267, 27590, 10415, 543, 3756, 269, 4147, 3610, 616, 6462, 609, 519, 4406, 17939, 514, 30868, 585, 519, 2898, 1641, 269, 16497, 2356, 2253, 609, 513, 3636, 1575, 1644, 547, 519, 1888, 267, 5578, 1646, 267, 1292, 2534, 267, 543, 25759, 2534, 269, 1703, 616, 11636, 1565, 6859, 5532, 547, 519, 3084, 6437, 609, 4397, 1565, 4093, 543, 6024, 5578, 1646, 269, 1703, 616, 6700, 21630, 2238, 543, 10453, 616, 2111, 547, 1582, 2708, 269, 1703, 616, 6700, 3444, 268, 22793, 6402, 543, 10137, 2238, 269, 16065, 723, 4607, 8713, 291, 2866, 538, 476, 1001, 278, 543, 513, 1246, 909, 538, 476, 1001, 280, 593, 4406, 17939, 514, 27590, 10415, 269, 1703, 616, 3255, 547, 8831, 543, 4161, 1367, 10453, 543, 1683, 1489, 585, 1866, 269, 16497, 949, 581, 6026, 538, 10072, 610, 5532, 936, 513, 1297, 540, 4374, 563, 1432, 798, 649, 1616, 606, 10748, 2917, 20194, 547, 917, 10774, 1511, 4810, 270, 2041, 2111, 547, 798, 1354, 789, 4734, 5729, 476, 277, 267, 609, 2543, 547, 18027, 888, 2304, 10748, 2917, 20194, 779, 1995, 1058, 1683, 513, 3178, 540, 1565, 538, 513, 2318, 543, 2502, 1604, 269, 9978, 5817, 3741, 543, 1983, 786, 723, 1044, 1316, 2213, 543, 3255, 547, 1020, 891, 883, 811, 1950, 3157, 269, 32167, 2812, 786, 581, 8746, 547, 2119, 1007, 1919, 543, 1491, 4220, 269, 1358, 786, 581, 2111, 547, 1118, 2656, 3664, 543, 5079, 950, 4058, 4247, 610, 12644, 269, 1358, 786, 723, 513, 2039, 540, 2994, 585, 6061, 2042, 543, 1397, 6043, 547, 1832, 2469, 950, 789, 1265, 1919, 2352, 269, 32167, 2812, 786, 1174, 519, 2640, 540, 2324, 538, 1114 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 618, 4433, 784, 267, 7376, 2187, 476, 2132, 834, 7069, 5172, 5152, 568, 15079, 676, 15079, 1701, 269, 8971, 4433, 784, 267, 7376, 9239, 3698, 6648, 21234, 6831, 731, 9638, 334, 564, 267, 2140, 2187, 476, 6648, 5091, 525, 322, 815, 834, 763, 6648, 1422, 257, 346, 4153, 257, 568, 2854, 676, 15079, 2668, 8971, 6025, 1856, 267, 10564, 994, 476, 2132, 6648, 5091, 525, 322, 692, 7531, 3698, 6648, 5091, 525, 5524, 9638, 889, 7667, 5091, 622, 267, 2278, 267, 2140, 267, 3312, 318, 1740, 2187, 476, 6648, 5091, 525, 322, 815, 834, 763, 6648, 2715, 27583, 348, 676, 2715, 10461, 348, 729, 8385, 3370, 538, 2715, 13092, 318, 1740, 348, 538, 2715, 335, 889, 7667, 5091, 622, 348, 1701, 269, 8971, 9638, 889, 7667, 5091, 622, 815, 13629, 5091, 622, 267, 2278, 815, 2278, 267, 2140, 815, 2140, 267, 3312, 318, 1740, 815, 3312, 318, 1740, 994, 476, 2132, 6648, 5091, 525, 322, 692, 10461, 815, 834, 306, 3559, 18234, 7322, 4840, 27583, 815, 834, 7069, 2142, 731, 4840, 13092, 318, 1740, 815, 834, 8489, 519, 17121, 19769, 661, 2738, 4840, 335, 889, 7667, 5091, 622, 815, 834, 3192, 275, 5016, 3240, 318, 2041, 731, 5091, 525, 5524, 815, 6648, 5091, 525, 5524, 9638, 889, 7667, 5091, 622, 267, 2278, 267, 2140, 267, 3312, 318, 1740, 2020, 2745, 30044, 318, 2041, 731, 5091, 525, 5524, 2020, 19638, 14683, 2775, 539, 7272, 334, 2114, 815, 834, 5475, 30502, 281, 29423, 516, 7083, 324, 281, 1960, 278, 267, 476, 634, 1744, 20760, 281, 19365, 24883, 13879, 281, 4489, 276, 267, 8278, 560, 6470, 281, 294, 629, 686, 11253, 27190, 1537, 281, 4572, 276, 267, 567, 11908, 667, 23677, 281, 297, 6756, 1677, 9593, 281, 4572, 274, 267, 567, 3487, 532, 6969, 4303, 19874, 281, 2304, 1627, 328, 281, 1001, 275, 267, 634, 772, 660, 1245, 21763, 281, 310, 5306, 18724, 2006, 281, 6942, 272, 267, 6004, 269, 717, 5300, 9482, 2794, 781, 14576, 281, 306, 3559, 18234, 7322, 281, 1220, 275, 267, 19664, 14675, 6792, 4975, 281, 290, 1301, 523, 25376, 961, 6242, 281, 1001, 274, 267, 769, 11146, 281, 298, 600, 8403, 2672, 571, 12011, 5984, 281, 3422, 276, 267, 14134, 29938, 281, 299, 836, 8725, 24806, 281, 1960, 275, 267, 14134, 6229, 281, 3849, 686, 26413, 6762, 281, 2735, 278, 5016, 258, 1820, 263, 14683, 2775, 539, 7272, 334, 2114, 2020, 14683, 2775, 539, 7272, 334, 2114, 8217, 815, 12006, 7272, 334, 2114, 21858, 263, 12887, 2020, 258, 1820, 263, 14683, 2775, 539, 7272, 334, 2114, 8217, 2020, 14683, 2775, 539, 7272, 334, 2114, 14067, 686, 5529, 815, 29129, 1721, 6648, 538, 12006, 7272, 334, 2114, 8217, 912, 476, 12006, 7272, 334, 2114, 14067, 686, 5529, 6910, 9638, 334, 655, 14714, 8692, 15405, 22322, 258, 1820, 263, 14683, 2775, 539, 7272, 334, 2114, 14067, 686, 5529, 2020, 14683, 2775, 539, 7272, 334, 2114, 5091, 564, 5661, 815, 29129, 1721, 6648, 538, 12006, 7272, 334, 2114, 14067, 686, 5529, 912, 476, 12006, 7272, 334, 2114, 5091, 564, 5661, 6910, 9638, 334, 655, 21858, 3488, 281, 29125, 22322, 339, 527, 956, 815, 11713, 17763, 1115, 815, 11713, 30098, 815, 29129, 1721, 6648, 538, 12006, 7272, 334, 2114, 5091, 564, 5661, 912, 476, 10643, 6910, 9638, 334, 655, 314, 271, 7481, 476, 15023, 6910, 9638, 334, 655, 314, 272, 7481, 476, 7389, 6910, 9638, 334, 655, 314, 273, 7481, 22322, 1721, 1775, 538, 2039, 263, 271, 267, 6352, 263, 14683, 2775, 539, 7272, 334, 2114, 5091, 564, 5661, 15892, 825, 1820, 3488, 763, 6648, 15079, 729, 3370, 676, 15079, 538, 15079, 8339, 8971, 6025, 527, 956, 5157, 3910, 15023, 5157, 3910, 7389, 5157, 8079, 2020, 7531, 0, 288, 8675, 568, 606, 796, 23912, 1305, 540, 1883, 281, 1871, 8424, 563, 19638, 5443, 340, 815, 2715, 257, 13331, 22596, 9899, 476, 274, 267, 834, 822, 665, 5964, 547, 770, 9899, 476, 277, 267, 834, 8364, 8527, 10433, 9899, 476, 276, 267, 834, 19990, 9440, 544, 4428, 514, 9899, 476, 273, 10926, 258, 476, 272, 269, 589, 8675, 5956, 543, 7475, 609, 1225, 569, 25329, 630, 346, 543, 7684, 1916, 258, 476, 273, 269, 3962, 6221, 5161, 540, 513, 1883, 630, 328, 4318, 1421, 834, 13331, 22596, 8442, 543, 513, 1871, 630, 328, 4318, 1421, 476, 274, 994, 258, 476, 274, 269, 3962, 1883, 281, 1871, 6292, 630, 328, 4318, 1421, 834, 13331, 22596, 9899, 476, 274, 610, 834, 822, 665, 5964, 547, 770, 9899, 476, 277, 264, 568, 9674, 676, 513, 26893, 630, 267, 994, 258, 476, 275, 269, 898, 781, 2808, 1434, 2259, 547, 7696, 513, 2230, 20465, 1310, 1142, 26893, 267, 855, 707, 3009, 786, 1869, 2196, 1510, 519, 2230, 563, 692, 291, 17152, 1683, 721, 609, 513, 1259, 547, 4786, 4773, 540, 1239, 547, 1142, 824, 267, 865, 602, 649, 666, 3533, 1265, 2418, 602, 616, 2404, 609, 835, 1776, 563, 7531, 338, 839, 832, 815, 476, 2715, 257, 331, 1516, 4055, 9899, 476, 2641, 267, 834, 18145, 7770, 9899, 476, 2537, 267, 834, 5523, 3336, 9899, 476, 736, 267, 1412, 335, 656, 787, 9166, 476, 2420, 8679, 11133, 6831, 600, 10327, 815, 2715, 257, 3724, 12881, 9899, 476, 277, 267, 476, 834, 3258, 720, 9899, 476, 273, 267, 834, 20142, 633, 3118, 9899, 476, 272, 10926, 2745, 4433, 839, 832, 9239, 258, 634, 10569, 666, 581, 2338, 607, 1134, 563, 258, 1280, 1383, 267, 952, 649, 941, 11837, 13962, 3915, 5705, 582, 1023, 547, 519, 3915, 2698, 1310, 9133, 267, 513, 8675, 1223, 1413, 899, 1384, 11357, 20135, 15461, 4671, 4973, 815, 2715, 736, 281, 476, 2190, 267, 476, 1015, 281, 476, 1321, 267, 476, 276, 281, 476, 277, 267, 476, 1428, 281, 476, 1240, 348, 7531, 29324, 18425, 318, 5035, 525, 815, 2715, 257, 7809, 2264, 1374, 9899, 22373, 288, 16336, 2580, 834, 22013, 10042, 2580, 834, 306, 4461, 517, 257, 3910, 834, 322, 691, 2762, 9899, 22373, 13731, 9372, 2580, 834, 297, 10224, 2580, 834, 11321, 1723, 257, 3910, 834, 874, 3342, 4451, 9899, 22373, 293, 1042, 518, 3821, 2580, 834, 10048, 3241, 19312, 348, 7531, 12399, 1590, 2141, 581, 796, 4219, 762, 267, 19474, 762, 1239, 2010, 267, 899, 2338, 610, 12673, 563, 7531, 3240, 18380, 14277, 2908, 318, 4486, 19312, 815, 834, 2908, 19056, 4840, 5443, 340, 815, 2715, 257, 13331, 22596, 9899, 476, 274, 267, 834, 822, 665, 5964, 547, 770, 9899, 476, 277, 267, 834, 8364, 8527, 10433, 9899, 476, 276, 267, 834, 19990, 9440, 544, 4428, 514, 9899, 476, 273, 8679, 5443, 340, 14277, 3832, 525, 1815, 820, 19312, 815, 476, 279, 454, 9563, 11417, 346, 257, 13331, 22596, 9899, 476, 274, 267, 834, 822, 665, 5964, 547, 770, 9899, 476, 277, 267, 834, 8364, 8527, 10433, 9899, 476, 276, 267, 834, 19990, 9440, 544, 4428, 514, 9899, 476, 273, 267, 834, 3832, 525, 1815, 820, 9899, 476, 279, 10926, 19638, 534, 7769, 18425, 318, 345, 5622, 815, 2715, 10926, 534, 7769, 18425, 318, 345, 5622, 9131, 2763, 30944, 11172, 815, 476, 279, 454, 534, 7769, 18425, 318, 345, 5622, 9131, 3000, 12399, 11172, 815, 476, 1321, 454, 534, 7769, 18425, 318, 345, 5622, 9131, 19734, 14795, 11172, 815, 476, 271, 7531, 2745, 263, 534, 7769, 18425, 318, 345, 5622, 2020, 19638, 692, 2252, 649, 4941, 547, 1039, 2789, 1883, 2433, 1871, 8424, 547, 513, 8675, 693, 2899, 267, 649, 666, 946, 519, 1547, 26303, 3890, 1505, 780, 338, 839, 832, 815, 476, 2715, 257, 331, 1516, 4055, 9899, 476, 2641, 267, 834, 18145, 7770, 9899, 476, 2537, 267, 834, 5523, 3336, 9899, 476, 736, 10926, 338, 839, 832, 269, 26303, 20719, 257, 335, 656, 787, 9899, 476, 2420, 267, 834, 7666, 652, 4055, 9899, 476, 1839, 267, 834, 6312, 1470, 9899, 476, 4097, 348, 2020, 2745, 4433, 839, 832, 994, 24257, 825, 2715, 257, 331, 1516, 4055, 9899, 476, 2641, 267, 834, 18145, 7770, 9899, 476, 2537, 267, 834, 5523, 3336, 9899, 476, 736, 267, 834, 335, 656, 787, 9899, 476, 2420, 267, 834, 7666, 652, 4055, 9899, 476, 1839, 267, 834, 6312, 1470, 9899, 476, 4097, 10926, 692, 7531, 258, 712, 1871, 7084, 1131, 7670, 1679, 519, 4540, 1871, 7923, 547, 519, 1883, 1412, 822, 665, 5964, 547, 770, 262, 780, 5443, 340, 815, 2715, 257, 13331, 22596, 9899, 476, 274, 267, 834, 822, 665, 5964, 547, 770, 9899, 476, 277, 267, 834, 8364, 8527, 10433, 9899, 476, 276, 267, 834, 19990, 9440, 544, 4428, 514, 9899, 476, 273, 8679, 5443, 340, 14277, 13331, 22596, 19312, 815, 476, 276, 454, 2745, 263, 5443, 340, 2020, 30524, 6556, 1384, 346, 257, 13331, 22596, 9899, 476, 276, 267, 834, 822, 665, 5964, 547, 770, 9899, 476, 277, 267, 834, 8364, 8527, 10433, 9899, 476, 276, 267, 834, 19990, 9440, 544, 4428, 514, 9899, 476, 273, 10926, 19638, 12849, 815, 18358, 297, 10154, 3299, 1412, 20694, 639, 3299, 1412, 21579, 3299, 1412, 294, 15869, 23300, 515, 2074, 815, 1496, 8618, 267, 476, 3583, 267, 476, 6858, 267, 476, 5038, 2639, 29324, 815, 2715, 4486, 281, 7407, 585, 1883, 267, 1871, 538, 23407, 3799, 1868, 267, 15627, 264, 8679, 258, 29324, 568, 1631, 27835, 297, 10154, 9166, 476, 8618, 267, 1412, 20694, 639, 9166, 476, 3583, 267, 1412, 21579, 9166, 476, 6858, 267, 1412, 294, 15869, 9166, 476, 5038, 10926, 1607, 1592, 8223, 1384, 258, 476, 272, 269, 570, 1389, 513, 6292, 689, 519, 1990, 5792, 1592, 540, 8424, 689, 4408, 543, 15627, 454, 258, 476, 273, 269, 18780, 519, 2609, 538, 519, 6292, 1883, 630, 1492, 835, 8385, 689, 519, 4408, 1592, 264, 543, 1871, 630, 1492, 835, 8385, 689, 519, 15627, 1592, 994, 258, 476, 274, 269, 6282, 525, 513, 1883, 2433, 1871, 6221, 538, 519, 1053, 8675, 454, 258, 476, 275, 269, 15901, 1846, 3268, 476, 272, 268, 274, 585, 519, 3003, 1592, 540, 8424, 19638, 20142, 3855, 815, 22373, 525, 26078, 810, 2580, 834, 577, 2967, 2580, 834, 20657, 2378, 2580, 834, 323, 8692, 31116, 322, 25377, 710, 815, 1496, 5038, 267, 476, 2412, 267, 476, 271, 267, 476, 6344, 2639, 345, 5792, 5091, 337, 3855, 815, 23407, 5560, 337, 3855, 267, 14933, 994, 20142, 3855, 15461, 6831, 25377, 710, 815, 2715, 4486, 281, 1871, 585, 1883, 267, 1871, 538, 1990, 5792, 5091, 337, 3855, 10926, 7531, 338, 29330, 815, 22373, 12024, 513, 17029, 1782, 12942, 2580, 834, 306, 15384, 8351, 2580, 834, 5331, 2580, 834, 1432, 781, 24613, 2201, 2580, 834, 4910, 1051, 2580, 834, 14187, 966, 2320, 725, 31116, 2452, 12248, 338, 815, 1496, 4281, 267, 476, 3066, 267, 476, 4510, 267, 476, 2641, 267, 476, 8660, 267, 476, 276, 6540, 258, 4635, 513, 1592, 8223, 267, 1711, 513, 8675, 1572, 4249, 602, 4422, 998, 23407, 4433, 29330, 267, 1404, 12248, 338, 264, 543, 5932, 513, 5152, 281, 2452, 12248, 6292, 585, 1142, 5152, 538, 8964, 543, 1142, 1404, 12248, 538, 1404, 12248, 338, 563, 680, 904, 815, 2715, 338, 784, 281, 2452, 12248, 585, 1496, 338, 784, 267, 1404, 12248, 316, 538, 23407, 4433, 29330, 267, 1404, 12248, 338, 14587, 567, 1948, 4249, 815, 2715, 4486, 281, 1871, 585, 1883, 267, 1871, 538, 23407, 4433, 29330, 267, 1404, 12248, 338, 14587, 7531, 680, 904, 14277, 4910, 1051, 19312, 815, 476, 11463, 454, 680, 904, 14277, 303, 584, 921, 670, 10270, 19312, 815, 476, 272, 692, 331, 3869, 815, 2715, 257, 763, 7454, 14576, 338, 9899, 4249, 267, 834, 306, 1495, 599, 18461, 902, 9899, 2715, 3686, 692, 2745, 10857, 3869, 2020, 19638, 345, 31821, 21223, 6123, 815, 2715, 257, 4248, 9899, 22373, 4692, 1356, 2580, 834, 9928, 23705, 1470, 2580, 834, 303, 529, 806, 257, 3910, 834, 13933, 9899, 22373, 288, 1845, 2580, 834, 8867, 334, 2580, 834, 306, 698, 8636, 23581, 257, 3910, 834, 24160, 9899, 22373, 307, 19653, 2580, 834, 309, 597, 2998, 2580, 834, 22479, 878, 1941, 257, 3910, 834, 1515, 9899, 14277, 294, 655, 7236, 2580, 834, 299, 756, 571, 2580, 834, 288, 638, 23581, 19312, 10926, 2745, 18750, 31821, 21223, 6123, 9131, 24160, 262, 7481, 2745, 18750, 31821, 21223, 6123, 9131, 13933, 262, 7481, 9563, 11417, 9131, 307, 19653, 3299, 1412, 309, 597, 2998, 3299, 1412, 22479, 878, 1941, 23300, 9131, 288, 1845, 3299, 1412, 8867, 334, 3299, 1412, 306, 698, 8636, 23581, 262, 6540, 7531, 258, 2290, 1259, 547, 2057, 713, 5470, 568, 547, 1101, 2638, 952, 519, 1883, 6818, 538, 519, 8675, 1384, 20761, 318, 515, 2074, 815, 2715, 257, 289, 584, 329, 10609, 531, 604, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 755, 21746, 616, 711, 513, 3226, 1134, 8153, 5521, 267, 855, 1118, 1100, 12161, 281, 789, 616, 1175, 607, 8886, 908, 543, 16160, 607, 1022, 824, 1106, 540, 7622, 11641, 269, 769, 713, 2022, 267, 649, 2263, 519, 4191, 540, 7452, 544, 924, 17486, 267, 543, 875, 547, 3927, 1521, 873, 269, 3367, 593, 547, 1265, 856, 811, 563, 1432, 616, 7452, 21746, 888, 288, 1455, 7622, 11641, 267, 7452, 21746, 616, 6263, 267, 18784, 7786, 602, 3049, 1055, 7452, 267, 7509, 1107, 543, 1480, 2960, 5160, 269, 1358, 616, 3976, 513, 1360, 1455, 4527, 538, 782, 2127, 540, 938, 5321, 282, 538, 1249, 267, 513, 1906, 3952, 540, 2230, 666, 3006, 3180, 909, 547, 1896, 2929, 540, 891, 1814, 1562, 269, 1358, 616, 1034, 8185, 13671, 538, 4025, 5627, 4666, 1166, 1389, 540, 938, 2960, 5160, 267, 26759, 938, 28945, 269, 5221, 540, 741, 8792, 2450, 267, 2705, 267, 789, 666, 979, 32373, 539, 585, 1296, 693, 513, 12701, 269, 1411, 1294, 267, 1813, 547, 741, 18784, 7516, 630, 1652, 982, 476, 271, 269, 274, 28935, 538, 3259, 1070, 789, 616, 15865, 547, 519, 21736, 3750, 267, 543, 666, 1152, 581, 4767, 1210, 1535, 1015, 3172, 4328, 4837, 269, 2201, 1283, 540, 602, 267, 741, 4703, 616, 6037, 1075, 550, 267, 26759, 2312, 563, 3080, 540, 519, 1906, 2312, 4191, 610, 15244, 2451, 676, 7452, 21746, 4734, 568, 519, 1198, 741, 16133, 814, 593, 721, 269, 2368, 2043, 723, 13027, 6547, 547, 7068, 267, 891, 1419, 1491, 519, 1106, 540, 26253, 2736, 268, 8083, 282, 15029, 1346, 945, 7985, 689, 10447, 1265, 741, 2589, 616, 1419, 24395, 730, 676, 891, 12961, 269, 6270, 2589, 4043, 547, 1205, 8338, 1310, 12511, 532, 610, 27789, 267, 607, 713, 13489, 338, 909, 519, 21746, 543, 741, 32740, 2339, 267, 1818, 873, 811, 2693, 547, 581, 31067, 538, 519, 2011, 596, 13236, 563, 291, 755, 21746, 616, 1034, 8185, 13671, 538, 4025, 5627, 4666, 2960, 5160, 689, 938, 2960, 281, 26759, 267, 938, 28945, 2326, 269, 1358, 1454, 4782, 3636, 267, 18519, 5054, 547, 4411, 267, 3819, 3283, 267, 1141, 789, 5884, 3362, 269, 9282, 519, 9038, 540, 519, 2249, 723, 513, 2110, 14438, 630, 21671, 476, 280, 547, 476, 866, 2395, 1070, 519, 8951, 666, 7639, 585, 909, 547, 1079, 3275, 267, 543, 2482, 909, 547, 476, 1911, 5798, 1282, 602, 942, 1107, 7452, 21746, 616, 6157, 3728, 9742, 619, 563, 291, 755, 544, 924, 17486, 281, 4191, 543, 2589, 454, 7212, 7452, 21746, 798, 3132, 606, 1198, 593, 721, 267, 621, 568, 711, 3833, 3020, 547, 2161, 602, 713, 568, 513, 1267, 540, 741, 2048, 321, 2572, 9957, 28545, 21746, 1810, 1406, 11116, 721, 256, 1280, 7429, 5127, 12961, 267, 7452, 21746, 798, 711, 3049, 593, 1480, 1973, 281, 621, 568, 1346, 4666, 267, 890, 9934, 11325, 1166, 1389, 540, 2960, 5160, 4805, 602, 616, 540, 1719, 547, 873, 269, 2334, 568, 1141, 741, 3346, 609, 938, 2168, 4703, 5956, 543, 7475, 269, 630, 10303, 938, 2960, 7683, 24259, 4666, 2281, 267, 649, 1683, 513, 11931, 1426, 3761, 585, 891, 7068, 1916, 8002, 1302, 267, 519, 1152, 2601, 713, 7242, 540, 7452, 544, 924, 2048, 321, 2572, 685, 829, 572, 557, 637, 568, 1317, 7452, 21746, 616, 1419, 30199, 585, 1346, 17486, 602, 616, 519, 960, 540, 5127, 12961, 1107, 4440, 1317, 267, 899, 5127, 12961, 267, 7452, 21746, 616, 606, 21792, 267, 15865, 10546, 282, 543, 849, 1317, 1034, 1004, 798, 711, 1616, 547, 3494, 602, 741, 1753, 3568, 5127, 12961, 267, 1813, 547, 519, 12205, 609, 11515, 534, 17349, 602, 891, 7786, 4865, 563, 2026, 5018, 267, 7452, 21746, 11298, 723, 606, 1198, 593, 1978, 6688, 540, 1004, 282, 2705, 713, 568, 811, 28330, 547, 606, 13027, 5114, 1107, 711, 547, 519, 7452, 21746, 2933, 267, 2901, 267, 855, 547, 741, 32740, 2339, 282, 543, 621, 4386, 950, 891, 5536, 616, 31067, 267, 711, 950, 519, 7452, 21746, 11116, 721, 269, 1656, 621, 568, 1152, 1978, 6688, 540, 1004, 1107, 6140, 1346, 945, 616, 2901, 1360, 1762, 610, 1360, 2025, 1107, 945, 8858, 971, 6547, 563, 1432, 616, 519, 1292, 4191, 543, 7452, 21746, 17486, 2589, 540, 1018, 649, 1522, 607, 1134, 1289, 2048, 706, 560, 544, 924, 11959, 685, 286, 634, 2626, 568, 602, 621, 15320, 689, 1367, 547, 1367, 269, 2368, 540, 519, 1034, 1455, 6547, 616, 912, 268, 12019, 610, 2770, 6438, 2589, 267, 971, 607, 513, 2196, 5500, 9224, 267, 17808, 9224, 267, 32125, 267, 9221, 344, 11522, 267, 543, 519, 899, 454, 268, 7054, 761, 566, 538, 519, 4064, 269, 2368, 9082, 685, 3750, 3587, 1216, 344, 267, 1866, 1831, 2699, 543, 1973, 3333, 582, 269, 4033, 1004, 1869, 2097, 547, 723, 11435, 896, 519, 4064, 267, 607, 952, 789, 723, 1044, 24986, 563, 268, 769, 930, 1004, 267, 519, 5580, 5493, 2280, 540, 741, 5023, 3587, 1360, 28349, 267, 610, 519, 11563, 610, 3330, 540, 519, 9224, 1281, 454, 268, 769, 1453, 267, 513, 1455, 267, 2995, 2389, 1446, 13525, 540, 606, 13027, 5114, 547, 7452, 21746, 568, 7928, 9224, 268, 745, 25290, 454, 2026, 666, 581, 2938, 267, 7452, 544, 924, 17486, 616, 1419, 2352, 547, 10646, 689, 4411, 267, 10447, 267, 610, 11959, 602, 723, 513, 1114, 2707, 269, 1879, 621, 2501, 547, 5127, 17079, 17486, 267, 2705, 267, 972, 568, 513, 2312, 3017, 281, 1917, 17079, 17486, 2408, 593, 707, 2960, 607, 2699, 9634, 630, 21865, 20898, 909, 538, 513, 4737, 1070, 12946, 10169, 540, 513, 11696, 28917, 18151, 17486, 282, 789, 1491, 513, 1247, 547, 2408, 267, 543, 621, 2356, 3217, 873, 693, 2547, 513, 7008, 540, 4374, 547, 4628, 12115, 563, 291, 755, 544, 924, 17486, 281, 2126, 454, 7093, 3685, 568, 519, 1655, 1106, 540, 2126, 267, 543, 519, 1655, 1259, 547, 2048, 339, 805, 685, 544, 924, 17486, 630, 718, 25489, 264, 568, 547, 3970, 519, 7274, 540, 942, 596, 616, 6534, 547, 873, 676, 2921, 3800, 547, 2981, 707, 2777, 883, 513, 7452, 544, 924, 6954, 7997, 269, 1452, 1331, 912, 268, 2834, 7452, 532, 543, 12511, 532, 630, 601, 574, 3729, 519, 7452, 267, 543, 596, 9004, 519, 7452, 21746, 256, 11850, 268, 2834, 11067, 540, 707, 28945, 543, 824, 32028, 630, 520, 2547, 2899, 12353, 5148, 7738, 707, 24095, 3248, 268, 7296, 744, 7473, 23077, 27633, 1152, 630, 604, 596, 9192, 13897, 267, 7452, 543, 16906, 8673, 267, 1287, 596, 616, 2870, 513, 2357, 3386, 9960, 2666, 585, 7452, 21746, 11850, 268, 30574, 707, 1753, 609, 1978, 3114, 838, 7590, 563, 5278, 824, 2409, 540, 14874, 7452, 21746, 689, 707, 1753, 616, 912, 268, 1958, 2084, 707, 20974, 816, 538, 513, 8825, 3382, 3248, 268, 632, 21065, 573, 4328, 543, 16715, 519, 2837, 540, 519, 4055, 2630, 519, 1448, 1141, 7452, 21746, 666, 7639, 543, 8853, 630, 10472, 786, 581, 1472, 476, 3583, 5232, 18278, 282, 1210, 10991, 6775, 10788, 3298, 3079, 540, 13692, 610, 17371, 3283, 3248, 268, 8741, 532, 540, 28077, 543, 905, 9312, 9162, 267, 607, 891, 849, 2445, 7452, 21746, 563, 8170, 1576, 267, 952, 707, 1753, 568, 2907, 1102, 6479, 676, 7452, 21746, 267, 543, 596, 723, 3323, 27109, 4191, 540, 606, 13027, 5114, 547, 873, 267, 1287, 596, 786, 723, 547, 1521, 519, 2589, 269, 1403, 596, 1616, 547, 1205, 930, 8323, 267, 2119, 891, 936, 7308, 23716, 6527, 912, 268, 14640, 7290, 26952, 281, 4550, 268, 26677, 6646, 267, 2337, 14867, 2589, 540, 28349, 267, 8886, 762, 9224, 267, 5023, 267, 4064, 3092, 454, 268, 5463, 784, 652, 1218, 281, 891, 5061, 948, 547, 2312, 24571, 3022, 909, 9224, 267, 9221, 267, 543, 10772, 0, 291, 9128, 2562, 296, 3582, 5508, 595, 3918, 7246, 3582, 454, 290, 8145, 566, 568, 513, 1184, 538, 799, 7920, 3002, 568, 1031, 547, 2981, 519, 1560, 1394, 547, 922, 2596, 2609, 269, 634, 1560, 267, 20583, 538, 513, 8708, 9516, 585, 1212, 332, 566, 267, 568, 5116, 538, 513, 1212, 332, 566, 12068, 269, 634, 2571, 5160, 568, 11517, 1242, 269, 1548, 3788, 568, 711, 607, 1127, 267, 855, 5642, 15998, 20604, 689, 1614, 547, 8370, 6550, 593, 3328, 269, 901, 568, 1018, 568, 8659, 538, 519, 1212, 332, 566, 2712, 333, 563, 25565, 6796, 609, 7348, 532, 543, 595, 8145, 566, 454, 5415, 543, 811, 1004, 616, 7446, 1212, 332, 566, 607, 741, 9053, 1826, 540, 29916, 269, 1358, 616, 849, 7446, 547, 723, 513, 2757, 13156, 4553, 676, 513, 3028, 269, 901, 3028, 568, 519, 1482, 607, 519, 12465, 6796, 609, 7348, 532, 543, 8738, 658, 267, 4849, 602, 1310, 519, 3028, 519, 21549, 568, 1212, 332, 730, 269, 3973, 693, 513, 2663, 4266, 519, 1212, 332, 730, 3788, 267, 952, 5551, 267, 568, 12617, 610, 1303, 4861, 539, 269, 634, 13156, 543, 5924, 3028, 666, 2901, 581, 1857, 610, 4357, 540, 513, 1920, 781, 7446, 563, 290, 8145, 566, 267, 609, 610, 1510, 513, 6796, 454, 1103, 6034, 595, 8145, 566, 267, 1739, 2669, 267, 519, 1268, 568, 6569, 689, 519, 1747, 540, 2669, 543, 4371, 2394, 782, 3656, 4170, 616, 2743, 676, 519, 24133, 1753, 267, 1287, 1212, 332, 730, 269, 1703, 568, 1100, 13156, 269, 589, 18189, 3028, 666, 581, 4371, 585, 1920, 543, 2828, 693, 513, 2663, 4266, 267, 543, 666, 581, 4371, 2901, 693, 938, 9744, 267, 707, 1747, 540, 10847, 267, 610, 606, 4244, 3135, 269, 0, 7628, 2038, 2053, 2367, 941, 9833, 607, 9120, 547, 2021, 269, 769, 17906, 5261, 779, 1404, 267, 968, 288, 9335, 8364, 715, 3139, 2677, 790, 5608, 26304, 918, 578, 1023, 7288, 267, 519, 960, 779, 25412, 21087, 626, 267, 29263, 593, 1379, 269, 1261, 24151, 519, 7592, 1336, 538, 513, 1158, 540, 2025, 6752, 539, 16431, 1141, 2367, 941, 5921, 547, 581, 8789, 5515, 269, 901, 568, 10423, 538, 26304, 779, 2078, 609, 853, 7578, 267, 1010, 2623, 2509, 2349, 534, 3832, 267, 543, 1010, 10182, 2509, 2021, 538, 2489, 269, 1261, 21593, 32198, 2021, 543, 4730, 609, 741, 4606, 607, 1134, 563, 1805, 534, 2917, 918, 578, 1023, 7288, 568, 519, 13423, 727, 540, 519, 2757, 812, 267, 646, 28420, 1010, 9120, 2470, 538, 1585, 10207, 538, 519, 17906, 5261, 779, 1404, 589, 9335, 8364, 715, 3139, 2677, 790, 269, 769, 6429, 1079, 540, 519, 1404, 267, 26304, 10525, 1010, 14053, 2470, 1247, 853, 7578, 543, 26304, 941, 6158, 827, 2349, 534, 3832, 269, 26304, 10645, 602, 646, 4941, 547, 2911, 547, 2349, 534, 3832, 827, 519, 2530, 540, 5617, 548, 32672, 543, 519, 16486, 4577, 3009, 269, 1809, 853, 7578, 1185, 4280, 26304, 547, 2097, 856, 609, 1200, 1247, 2349, 534, 3832, 568, 3478, 21039, 547, 2057, 1022, 1826, 540, 2152, 1063, 2349, 534, 3832, 543, 26304, 269, 2311, 602, 267, 26304, 20402, 853, 7578, 6998, 968, 7712, 950, 798, 596, 2285, 803, 9753, 9495, 263, 19365, 338, 3374, 1040, 901, 3948, 5693, 2982, 519, 24940, 14820, 540, 26304, 267, 646, 11099, 602, 1152, 2367, 666, 1118, 9753, 538, 519, 2777, 543, 2021, 723, 547, 23491, 873, 14553, 269, 1261, 17648, 602, 2021, 723, 1100, 1318, 547, 1118, 3664, 1317, 789, 616, 4397, 547, 581, 593, 513, 2539, 1377, 982, 2367, 269, 901, 6429, 849, 2982, 602, 853, 7578, 2760, 10288, 1864, 547, 798, 4376, 543, 602, 1352, 1185, 2141, 1044, 10121, 547, 26304, 543, 729, 2838, 2760, 547, 2243, 1010, 15752, 269, 898, 6645, 519, 5467, 602, 853, 7578, 2760, 27136, 5674, 539, 1864, 2901, 269, 1261, 849, 2982, 1010, 1527, 2033, 1915, 609, 853, 7578, 1282, 519, 533, 20269, 5428, 950, 646, 1793, 2355, 853, 7578, 779, 25427, 10978, 569, 538, 4395, 540, 1010, 2003, 2483, 1862, 1647, 540, 1957, 4429, 1862, 4532, 6342, 2147, 547, 602, 723, 5949, 1354, 269, 3973, 646, 4991, 4625, 26583, 543, 19380, 1010, 2247, 6217, 2349, 534, 3832, 4730, 519, 2575, 267, 543, 25001, 519, 5925, 856, 8840, 519, 6885, 269, 5015, 646, 849, 9308, 28407, 853, 7578, 538, 4395, 540, 3025, 538, 513, 771, 27920, 995, 6073, 267, 799, 28420, 1010, 791, 565, 924, 2470, 563, 10190, 646, 7475, 909, 986, 4771, 1025, 534, 3832, 543, 9292, 1154, 1200, 15508, 543, 9308, 269, 2991, 602, 646, 6354, 12885, 853, 7578, 547, 6494, 2349, 534, 3832, 547, 519, 2790, 1306, 23796, 269, 7102, 942, 26304, 1412, 338, 1281, 1945, 1996, 853, 7578, 1352, 2141, 8483, 1161, 1864, 543, 7475, 909, 23578, 609, 1864, 1100, 2339, 1018, 269, 26304, 568, 1360, 1434 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3086, 1577, 779, 3533, 2638, 909, 593, 519, 1909, 4401, 1281, 538, 519, 1480, 1560, 901, 786, 948, 721, 547, 9305, 519, 28252, 540, 4401, 543, 7551, 649, 666, 3548, 2247, 2685, 563, 268, 11635, 2337, 3132, 2699, 1973, 2281, 538, 519, 1560, 267, 543, 891, 2699, 1973, 2281, 267, 849, 1572, 22980, 628, 24945, 5052, 267, 3560, 5135, 2429, 519, 1560, 563, 268, 898, 2337, 538, 4509, 513, 7347, 4761, 1062, 5329, 596, 2068, 6954, 543, 4509, 1434, 1072, 563, 268, 898, 568, 849, 2556, 547, 1832, 707, 2960, 2635, 543, 4190, 269, 898, 568, 8810, 602, 4401, 666, 9258, 519, 2360, 540, 1863, 18119, 593, 519, 2960, 563, 268, 11635, 11226, 538, 10138, 7067, 563, 268, 898, 31591, 6171, 645, 538, 519, 1560, 563, 268, 11635, 18993, 2373, 519, 1973, 4006, 1459, 538, 519, 1560, 883, 1648, 563, 268, 898, 2337, 538, 4509, 2635, 18969, 543, 4552, 563, 268, 11635, 568, 849, 2556, 585, 1818, 10399, 269, 7102, 9449, 19261, 666, 1860, 513, 1268, 538, 16854, 2081, 267, 689, 513, 2241, 1689, 538, 2597, 547, 4376, 24037, 563, 1692, 13518, 11635, 9701, 594, 6875, 888, 763, 2179, 540, 4401, 513, 1268, 2115, 829, 1554, 5673, 2390, 2085, 267, 4008, 267, 543, 519, 1826, 540, 2732, 519, 1268, 5205, 563, 2080, 568, 513, 1592, 540, 3232, 6981, 540, 4401, 585, 1004, 540, 1114, 6502, 543, 3023, 912, 268, 1323, 2937, 4807, 630, 720, 476, 866, 268, 2004, 1296, 264, 3340, 476, 1240, 8406, 540, 4401, 563, 268, 1323, 2937, 812, 630, 720, 476, 866, 268, 2004, 1296, 264, 2115, 476, 279, 8406, 540, 4401, 563, 268, 21250, 656, 2021, 2154, 476, 2767, 8406, 540, 4401, 563, 268, 589, 20418, 4807, 2115, 476, 280, 16936, 540, 4401, 563, 268, 5753, 540, 2085, 2516, 476, 275, 268, 1724, 1296, 2154, 476, 279, 547, 476, 1015, 8406, 540, 4401, 563, 268, 24641, 14038, 543, 8695, 630, 720, 476, 1724, 268, 1240, 264, 991, 513, 3232, 6981, 540, 476, 1556, 8406, 540, 4401, 563, 268, 24635, 6162, 543, 6690, 630, 1137, 476, 1724, 268, 1240, 264, 991, 476, 1428, 8406, 540, 4401, 563, 4913, 267, 1004, 945, 1246, 20757, 11326, 991, 5595, 519, 2179, 540, 4401, 7396, 1657, 269, 634, 1480, 1560, 3085, 1406, 10110, 519, 1875, 268, 22351, 4401, 5833, 689, 2030, 3536, 607, 7561, 607, 646, 1889, 4401, 689, 513, 5779, 2707, 563, 3719, 585, 3543, 12579, 267, 741, 1152, 2707, 568, 2030, 2861, 3536, 269, 1924, 267, 789, 991, 547, 1265, 5078, 2959, 543, 6451, 607, 1454, 4401, 607, 2009, 563, 4131, 721, 1631, 2638, 930, 540, 519, 1655, 4401, 11656, 3536, 543, 20757, 5079, 563, 1556, 11635, 11656, 16639, 17164, 4115, 932, 7860, 454, 16675, 21364, 5388, 267, 21378, 2812, 267, 543, 1978, 5613, 616, 3638, 538, 4401, 269, 9282, 4509, 513, 1697, 6981, 540, 4401, 998, 513, 20757, 2732, 568, 2182, 267, 621, 779, 711, 7543, 563, 2080, 616, 930, 2030, 2861, 3536, 547, 2333, 4401, 10338, 454, 8967, 514, 778, 568, 513, 10053, 2707, 540, 1875, 3620, 320, 655, 4401, 269, 901, 21364, 3039, 17724, 773, 814, 1082, 1072, 2640, 547, 2709, 269, 898, 568, 1360, 1970, 538, 8477, 267, 1818, 621, 513, 1360, 2318, 3903, 540, 1426, 563, 1607, 4401, 11656, 17724, 773, 849, 3568, 1898, 14434, 267, 6886, 543, 8324, 269, 20290, 476, 1911, 10101, 540, 22156, 2488, 476, 273, 269, 278, 8406, 540, 4401, 563, 7212, 519, 1560, 1281, 711, 3362, 10110, 519, 1875, 3620, 320, 655, 4401, 2139, 538, 22156, 607, 602, 540, 646, 600, 4401, 267, 22156, 849, 3568, 513, 3501, 2179, 540, 6171, 524, 267, 799, 8362, 6173, 919, 519, 10338, 540, 4401, 538, 519, 1560, 563, 273, 269, 2549, 541, 13183, 3762, 454, 288, 3405, 13183, 568, 4767, 538, 519, 9087, 1054, 1571, 540, 519, 22615, 28569, 267, 543, 621, 11498, 547, 7013, 3127, 269, 1358, 2097, 538, 513, 2039, 540, 15437, 899, 2699, 267, 3039, 267, 13711, 267, 547, 4154, 563, 1607, 3504, 17724, 773, 568, 519, 4558, 5264, 540, 1082, 8324, 267, 6886, 543, 14434, 269, 2290, 11273, 7484, 540, 993, 541, 13183, 3762, 5161, 540, 476, 273, 269, 278, 10101, 540, 3940, 543, 476, 273, 269, 7176, 8406, 540, 4401, 563, 763, 2834, 4616, 540, 713, 1875, 268, 22351, 4401, 11656, 15988, 797, 2337, 10994, 5230, 544, 839, 4851, 543, 552, 1162, 12536, 563, 2026, 621, 568, 1164, 538, 4401, 1543, 543, 20249, 267, 621, 568, 3501, 585, 16562, 2438, 2550, 269, 898, 849, 2337, 538, 32033, 8501, 2157, 538, 519, 1560, 267, 4227, 519, 1981, 540, 9025, 3676, 269, 1280, 3543, 12579, 267, 621, 568, 519, 3501, 3903, 547, 20993, 909, 741, 4401, 6981, 563, 298, 1446, 568, 16041, 609, 5567, 602, 616, 6225, 585, 1480, 1072, 269, 901, 568, 835, 540, 519, 1072, 5006, 5388, 2139, 585, 3543, 12579, 543, 1654, 7540, 563, 2005, 2501, 538, 513, 2039, 540, 15437, 267, 4358, 689, 3039, 547, 13711, 269, 29703, 25989, 568, 519, 1034, 1455, 1826, 540, 25989, 2139, 563, 1911, 575, 916, 540, 25989, 5161, 540, 476, 272, 269, 276, 8406, 540, 4401, 269, 769, 1840, 547, 4401, 267, 621, 814, 513, 3501, 2179, 540, 8324, 589, 267, 645, 272, 267, 645, 273, 267, 645, 274, 267, 543, 595, 267, 7513, 267, 22670, 267, 7601, 267, 13101, 267, 11379, 543, 14434, 563, 8448, 4401, 11656, 19787, 1331, 546, 28888, 542, 16719, 267, 2458, 1841, 267, 5569, 10365, 267, 543, 21364, 16719, 563, 1607, 3597, 10448, 568, 14095, 609, 513, 1434, 2707, 540, 20249, 267, 4401, 267, 6171, 595, 267, 31833, 267, 543, 8000, 9914, 563, 3080, 4627, 10101, 540, 14043, 10174, 2874, 540, 476, 271, 269, 279, 8406, 540, 4401, 543, 476, 272, 269, 276, 10101, 540, 5946, 269, 4826, 568, 519, 1292, 1543, 540, 14043, 10174, 269, 476, 3199, 547, 476, 9262, 260, 540, 14043, 1543, 568, 1216, 543, 2488, 513, 1434, 2179, 540, 20249, 563, 26589, 609, 1373, 513, 1434, 2707, 540, 4401, 267, 14043, 10174, 2488, 824, 1072, 2640, 1932, 267, 971, 607, 281, 4543, 2539, 1973, 2604, 267, 5355, 26176, 2088, 267, 4543, 609, 2295, 5821, 267, 2337, 2281, 1332, 543, 1599, 563, 22025, 10633, 2270, 513, 1434, 2179, 540, 4401, 543, 11950, 269, 11635, 568, 5631, 13671, 538, 519, 15837, 2960, 269, 2290, 4627, 10101, 540, 796, 701, 601, 539, 12277, 2874, 540, 476, 271, 269, 279, 8406, 540, 3232, 4401, 6981, 563, 1911, 10101, 540, 19323, 12277, 2270, 476, 272, 269, 272, 8406, 540, 4401, 269, 898, 814, 513, 1713, 2179, 540, 31833, 267, 10841, 12643, 545, 3679, 630, 341, 9559, 524, 1070, 645, 272, 267, 645, 277, 267, 543, 11379, 563, 1911, 10101, 540, 12277, 723, 476, 272, 269, 277, 8406, 540, 5946, 563, 22025, 10633, 948, 538, 19011, 1154, 9025, 3676, 269, 898, 849, 2501, 547, 11226, 538, 13326, 8501, 2157, 1813, 547, 922, 1713, 5666, 540, 26939, 563, 300, 2313, 7741, 616, 513, 1826, 540, 17580, 13271, 269, 631, 2313, 7741, 616, 1419, 9833, 607, 17154, 5779, 610, 20757, 5779, 269, 901, 17580, 17343, 568, 16041, 609, 6886, 267, 8324, 267, 14434, 267, 543, 11216, 563, 1911, 10101, 540, 17228, 3568, 476, 271, 269, 276, 16936, 540, 4401, 543, 476, 274, 269, 272, 8406, 540, 5946, 269, 898, 814, 1713, 5666, 540, 6171, 667, 543, 7513, 269, 898, 1447, 839, 519, 1981, 540, 3384, 1072, 2042, 899, 2295, 4713, 267, 12216, 779, 267, 3987, 267, 2860, 267, 16562, 8598, 3092, 454, 302, 1846, 616, 4986, 855, 9274, 540, 519, 2030, 2997, 2088, 9045, 10216, 267, 3274, 519, 23611, 2030, 269, 2991, 16276, 267, 891, 9274, 616, 9268, 585, 519, 8770, 11656, 1439, 1587, 281, 28113, 563, 288, 7484, 540, 28113, 5161, 540, 476, 274, 269, 275, 8406, 540, 3232, 4401, 6981, 269, 1452, 11212, 14312, 267, 9268, 9274, 616, 3648, 16041, 609, 8324, 645, 272, 267, 645, 276, 267, 31833, 267, 13058, 267, 7601, 267, 13101, 267, 16903, 267, 22670, 267, 20249, 267, 5946, 267, 543, 14434, 563, 5445, 948, 538, 4509, 1434, 1072, 676, 15725, 1973, 4006, 2157, 267, 543, 8501, 2157, 538, 519, 1560, 269, 898, 849, 552, 1162, 12536, 267, 7303, 19228, 563, 5445, 948, 538, 8156, 16562, 8598, 543, 6689, 10447, 563, 307, 1993, 340, 568, 3812, 689, 29704, 1225, 323, 267, 799, 568, 519, 30243, 1637, 540, 13386, 5144, 269, 901, 568, 6923, 15347, 6954, 563, 1911, 10101, 540, 31949, 2874, 540, 476, 273, 269, 9834, 8406, 540, 3232, 2838, 4401, 269, 1677, 14673, 568, 513, 1713, 2707, 540, 4401, 543, 7513, 269, 476, 1911, 10101, 540, 31949, 2488, 476, 279, 10101, 540, 3940, 267, 1818, 621, 606, 5140, 2707, 540, 3940, 585, 3543, 12579, 543, 1654, 7540, 563, 2005, 2337, 538, 4509, 2635, 2960, 543, 4552, 563, 2005, 2337, 2061, 543, 10038, 1082, 1072, 2152, 899, 9025, 3676, 267, 6089, 2860, 267, 543, 8459, 29840, 269, 898, 849, 2337, 538, 15725, 21404, 267, 22797, 267, 2085, 5829, 2634, 4713, 267, 543, 6197, 4713, 563, 301, 7491, 616, 606, 5140, 2707, 540, 4401, 799, 568, 538, 519, 1106, 1572, 1875, 13463, 600, 4401, 269, 3371, 616, 519, 1906, 10808, 602, 723, 513, 1713, 2179, 540, 4401, 14425, 538, 873, 563, 2704, 24325, 543, 30288, 7423, 616, 519, 3501, 2959, 540, 4401, 563, 295, 2788, 513, 7484, 540, 2898, 30646, 5161, 540, 476, 274, 269, 272, 8406, 540, 4401, 563, 30509, 689, 4401, 267, 30646, 849, 723, 1713, 5666, 540, 6171, 661, 267, 7513, 267, 13101, 267, 11379, 267, 16903, 267, 31093, 267, 31833, 267, 7601, 267, 13058, 267, 20249, 3092, 454, 2005, 568, 606, 5140, 2707, 540, 3940, 269, 2290, 26412, 540, 30646, 2488, 476, 277, 269, 271, 10101, 540, 3940, 563, 2704, 24325, 666, 581, 1031, 538, 519, 1106, 540, 30288, 7423, 267, 30288, 5144, 267, 7912, 267, 543, 3282, 563, 273, 269, 16629, 515, 342, 10808, 454, 9336, 476, 1911, 10101, 540, 16629, 515, 342, 10808, 5161, 540, 476, 277, 269, 278, 8406, 540, 4401, 563, 3080, 26412, 540, 8732, 515, 342, 10808, 5161, 540, 476, 276, 269, 1704, 10101, 540, 3940, 543, 476, 271, 269, 280, 10101, 540, 20249, 269, 1452, 6653, 1922, 15442, 10696, 10808, 2874, 540, 513, 1434, 2179, 540, 13101, 267, 11379, 267, 16903, 267, 9770, 267, 13058, 267, 543, 7513, 563, 5445, 849, 2270, 513, 5634, 2179, 540, 6171, 595, 543, 6171, 645, 563, 290, 553, 515, 342, 10808, 616, 849, 2139, 538, 519, 1106, 540, 8732, 515, 342, 5144, 267, 8732, 515, 342, 2861, 10381, 267, 11877, 8645, 543, 8732, 515, 342, 2861, 27156, 563, 310, 531, 22756, 666, 581, 4330, 607, 519, 9422, 1379, 5264, 540, 513, 20757, 2732, 269, 901, 2428, 1399, 15988, 797, 5161, 540, 3592, 476, 1428, 260, 540, 5946, 543, 476, 4792, 829, 1298, 540, 9600, 269, 5272, 476, 1911, 10101, 540, 9267, 22756, 3568, 476, 273, 269, 280, 8406, 540, 4401, 543, 476, 278, 10101, 540, 20249, 563, 310, 531, 22756, 616, 3638, 538, 14434, 543, 15060, 268, 274, 9761, 7408, 563, 19894, 4616, 540, 9546, 22756, 8992, 513, 2635, 8937, 267, 543, 1560, 2597, 269, 898, 849, 2337, 538, 9013, 1826, 268, 273, 3987, 267, 543, 1973, 2604, 267, 543, 4509, 1697, 2634, 1072, 563, 2005, 849, 2337, 676, 5885, 519, 5256, 10285, 1062, 563, 24916, 519, 10808, 5018, 1657, 267, 30637, 267, 9221, 22756, 267, 16537, 778, 1470, 267, 12566, 10808, 267, 543, 5672, 611, 600, 807, 616, 849, 3638, 538, 4401, 563, 5353, 2644, 543, 2898, 9274, 616, 1360, 29822, 14312, 543, 723, 1360, 1713, 14425, 540, 4401, 563, 12179, 821, 945, 6499, 547, 2087, 741, 4401, 6981, 1058, 2015, 1519, 5452, 538, 741, 3232, 2732, 563, 303, 2794, 7219, 5452, 267, 28140, 877, 5452, 267, 30011, 5452, 267, 23741, 5452, 267, 543, 30485, 572, 2644, 616, 5140, 2959, 540, 4401, 563, 4322, 4401, 1673, 1619, 5452, 2270, 1472, 476, 272, 269, 273, 547, 476, 275, 269, 273, 8406, 540, 4401, 829, 1079, 26486, 563, 4322, 5452, 616, 849, 3638, 538, 14425, 540, 20249, 267, 7513, 267, 13101, 267, 13058, 267, 31093, 543, 14434, 269, 27124, 7219, 5452, 849, 723, 513, 1434, 2179, 540, 6171, 918, 538, 873, 563, 4322, 6263, 5452, 849, 2270, 1713, 5666, 540, 15060, 31644, 9761, 7408, 543, 15060, 29350, 9761, 7408, 563, 295, 11391, 5452, 3226, 723, 513, 1360, 10053, 2179, 540, 891, 1079, 9761, 7408, 563, 303, 710, 1952, 956, 267, 3109, 29155, 787, 267, 15273, 11241, 267, 13212, 267, 20521, 5613, 267, 533, 727, 28699, 919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2304, 1383, 540, 24320, 1047, 568, 513, 3983, 3364, 602, 2731, 5921, 1945, 1434, 563, 2304, 1383, 540, 24320, 1047, 568, 513, 9633, 563, 2304, 1383, 540, 24320, 1047, 568, 547, 10571, 2576, 538, 513, 530, 580, 543, 4158, 14296, 563, 11514, 7666, 1047, 835, 781, 3020, 15752, 563, 2414, 24320, 1047, 835, 781, 5639, 563, 2414, 24320, 1047, 606, 7553, 563, 12179, 24320, 1047, 949, 16616, 7980, 547, 581, 16363, 10546, 838, 625, 563, 27670, 540, 24320, 1047, 454, 268, 5664, 2296, 29832, 7572, 523, 689, 6196, 3943, 964, 326, 7572, 518, 964, 268, 771, 268, 1368, 1047, 6073, 1368, 1047, 454, 5804, 1977, 11595, 9218, 540, 519, 2296, 5678, 267, 476, 276, 628, 9990, 454, 268, 5664, 2296, 29832, 17470, 267, 29832, 7572, 523, 267, 22666, 689, 6196, 3943, 964, 326, 7572, 518, 630, 19640, 26955, 326, 7572, 518, 1070, 3294, 6508, 689, 964, 268, 12462, 4134, 268, 14615, 257, 630, 5228, 5824, 771, 268, 264, 1341, 1368, 1047, 12462, 7666, 1047, 14615, 630, 5228, 513, 27272, 2707, 1040, 0, 309, 1731, 1090, 6341, 341, 520, 630, 295, 785, 328, 267, 594, 17129, 281, 23819, 18769, 6341, 341, 520, 282, 28484, 966, 306, 264, 610, 645, 1731, 1090, 590, 3711, 520, 630, 301, 788, 8932, 267, 28484, 607, 29172, 282, 13605, 8932, 12332, 281, 1496, 321, 1731, 332, 521, 286, 3387, 286, 339, 316, 3738, 543, 849, 1634, 607, 519, 23819, 1090, 328, 11706, 267, 568, 519, 3140, 9699, 11706, 1031, 538, 519, 4095, 1016, 29657, 269, 898, 568, 519, 4013, 11706, 540, 18310, 269, 769, 3127, 621, 568, 1031, 538, 1896, 2829, 269, 634, 2757, 23819, 1090, 6341, 341, 520, 11706, 267, 607, 1031, 538, 3127, 267, 3096, 16264, 3275, 543, 3859, 521, 573, 699, 531, 1296, 269, 634, 13605, 8932, 645, 1731, 1090, 590, 3711, 520, 5189, 538, 476, 5002, 272, 5084, 267, 3096, 513, 3859, 9341, 1032, 563, 288, 1297, 540, 3504, 543, 10120, 1202, 18587, 1031, 519, 23819, 1090, 6341, 341, 520, 269, 4014, 621, 729, 27333, 3957, 1310, 519, 19416, 4622, 23819, 1090, 611, 640, 320, 267, 519, 2165, 834, 309, 1731, 18769, 6341, 341, 520, 257, 1281, 711, 2408, 538, 519, 3140, 2594, 1354, 519, 476, 280, 628, 2540, 282, 519, 1482, 11706, 1062, 568, 1336, 609, 824, 4408, 267, 971, 607, 918, 761, 320, 543, 5689, 6072, 269, 769, 7810, 14172, 267, 519, 5736, 729, 5156, 547, 581, 1759, 593, 519, 862, 655, 2610, 540, 3751, 23819, 1090, 611, 640, 320, 1163, 2454, 519, 590, 752, 553, 689, 772, 329, 329, 664, 269, 1717, 267, 2663, 3134, 15572, 673, 2963, 543, 14172, 2303, 602, 713, 3069, 814, 1100, 3140, 4493, 269, 4438, 519, 476, 280, 628, 2540, 267, 3134, 15572, 673, 11247, 3459, 1210, 23819, 1090, 6341, 341, 520, 630, 24175, 2248, 532, 602, 519, 9699, 11706, 5736, 538, 946, 2968, 2442, 607, 23819, 1090, 6341, 341, 520, 5148, 14418, 543, 27454, 3134, 19973, 4797, 547, 946, 606, 5736, 1759, 593, 519, 17700, 610, 519, 10067, 822, 4275, 563, 298, 531, 752, 778, 776, 320, 918, 11936, 10440, 630, 2304, 2272, 540, 519, 31494, 17833, 752, 778, 776, 320, 1070, 676, 519, 27454, 27041, 8575, 1127, 31730, 19441, 267, 3947, 519, 1739, 2272, 281, 717, 663, 9618, 11663, 6511, 267, 519, 1287, 27703, 995, 4622, 540, 772, 329, 329, 664, 267, 705, 2265, 539, 513, 562, 684, 1572, 7203, 553, 341, 10620, 267, 945, 729, 519, 11078, 540, 519, 31494, 269, 634, 679, 571, 3022, 31494, 8179, 519, 948, 540, 519, 7790, 10440, 14610, 3751, 19300, 328, 538, 590, 6017, 269, 6736, 5230, 12918, 855, 29211, 676, 28986, 267, 519, 7790, 10440, 4622, 17204, 717, 663, 9618, 11663, 6511, 543, 1500, 1864, 513, 27604, 269, 7203, 553, 341, 10620, 729, 1065, 27074, 730, 267, 4352, 717, 663, 9618, 11663, 6511, 5128, 729, 8483, 1508, 269, 634, 17204, 4622, 19622, 547, 519, 4104, 267, 1141, 646, 729, 7166, 676, 513, 20259, 269, 3571, 5067, 267, 23819, 1090, 611, 640, 320, 267, 1373, 4547, 909, 538, 519, 4104, 267, 1185, 547, 4341, 689, 2398, 520, 880, 628, 3570, 630, 19640, 14529, 603, 534, 538, 26527, 30773, 1040, 13536, 593, 267, 23819, 1090, 611, 640, 320, 22983, 772, 329, 329, 664, 543, 22755, 2476, 689, 519, 7790, 752, 553, 269, 1677, 29428, 713, 2680, 267, 646, 3323, 513, 1007, 5736, 1572, 519, 834, 309, 1731, 18769, 5736, 2668, 634, 772, 329, 329, 664, 11706, 3323, 1472, 476, 6812, 268, 6321, 14514, 267, 543, 519, 7766, 1744, 10440, 268, 5028, 11706, 729, 3323, 538, 476, 4281, 9460, 693, 2398, 520, 880, 628, 3570, 16804, 21459, 23378, 763, 7681, 540, 519, 5736, 4098, 538, 476, 6872, 14514, 609, 23819, 1090, 611, 640, 320, 568, 711, 1336, 538, 1022, 2707, 1354, 519, 476, 280, 628, 2540, 9460, 282, 4505, 2959, 1289, 519, 5736, 834, 298, 320, 257, 630, 29340, 543, 476, 4391, 272, 9460, 1070, 834, 298, 761, 12711, 257, 630, 29024, 1070, 834, 1492, 5736, 540, 519, 5689, 6072, 14316, 257, 630, 275, 2190, 1070, 610, 3274, 834, 21579, 341, 520, 2668, 634, 9998, 1634, 30115, 799, 7125, 519, 5736, 834, 309, 1731, 18769, 257, 568, 689, 476, 279, 5655, 269, 901, 30115, 267, 689, 519, 932, 879, 327, 3570, 14610, 25941, 600, 1695, 553, 6511, 267, 729, 1336, 693, 667, 3128, 20580, 543, 568, 18584, 834, 309, 1731, 18769, 6341, 341, 520, 476, 279, 7176, 267, 28446, 880, 752, 3873, 1744, 4157, 5055, 476, 273, 267, 932, 7701, 257, 630, 736, 4989, 476, 279, 5655, 1040, 634, 9998, 1634, 30115, 799, 27498, 519, 5736, 609, 513, 4622, 1572, 23819, 1090, 611, 640, 320, 568, 18584, 476, 9032, 272, 267, 543, 519, 9998, 5339, 960, 8220, 519, 5736, 547, 23819, 1090, 611, 640, 320, 568, 4427, 327, 1662, 7534, 7304, 520, 3534, 4149, 663, 2129, 320, 630, 4200, 274, 268, 4200, 275, 264, 676, 519, 27454, 2278, 589, 2466, 698, 10620, 563, 288, 1297, 540, 4589, 3494, 602, 519, 23819, 1090, 6341, 341, 520, 729, 711, 3323, 676, 23819, 1090, 611, 640, 320, 267, 945, 1522, 581, 513, 19416, 4622, 610, 513, 2140, 7550, 676, 513, 2663, 4622, 945, 26948, 519, 5736, 1310, 5128, 269, 966, 269, 589, 269, 8055, 543, 667, 269, 681, 269, 645, 8518, 1046, 541, 5156, 602, 25941, 4048, 340, 24473, 4083, 7550, 519, 2140, 540, 23819, 1090, 611, 640, 320, 267, 543, 4957, 519, 5736, 781, 2012, 547, 834, 309, 1731, 18769, 6341, 341, 520, 2668, 4340, 547, 23052, 6504, 14208, 1716, 331, 2946, 267, 519, 4622, 3743, 585, 713, 1689, 729, 962, 1662, 617, 327, 1301, 534, 269, 14208, 1716, 331, 2946, 5156, 602, 646, 22482, 22758, 543, 568, 519, 834, 295, 1513, 3873, 23819, 1090, 611, 640, 320, 257, 5018, 538, 17833, 327, 3570, 781, 14076, 20345, 836, 7236, 563, 5278, 4505, 5640, 5156, 602, 519, 23819, 1090, 6341, 341, 520, 5330, 539, 547, 519, 589, 8240, 5736, 540, 519, 21475, 4149, 1097, 628, 1014, 630, 286, 10440, 264, 4622, 3751, 589, 8240, 269, 901, 729, 31713, 676, 7917, 4858, 576, 344, 1310, 519, 6602, 540, 606, 30115, 540, 966, 6359, 599, 600, 527, 571, 267, 799, 568, 18584, 538, 1079, 21971, 269, 634, 3069, 729, 15739, 323, 1243, 676, 674, 1779, 543, 26999, 9116, 267, 945, 1747, 519, 27299, 540, 519, 589, 8240, 5736, 538, 476, 5325, 268, 5379, 14514, 563, 763, 23819, 1090, 6341, 341, 520, 814, 1044, 1031, 676, 27734, 543, 27566, 338, 269, 2290, 540, 1896, 6237, 9699, 30300, 1513, 538, 946, 593, 519, 4095, 1016, 29657, 267, 621, 568, 1759, 593, 12964, 5348, 21288, 16264, 3275, 543, 476, 18458, 3859, 2395, 269, 634, 16264, 1032, 5956, 609, 519, 1007, 7599, 540, 519, 3923, 540, 932, 7159, 571, 269, 901, 1554, 267, 1634, 607, 932, 7159, 571, 2672, 16223, 331, 14508, 267, 568, 513, 11658, 9702, 538, 3127, 16804, 325, 9229, 19027, 2639, 763, 11706, 3788, 538, 946, 676, 1004, 538, 18310, 543, 27734, 540, 5087, 267, 7178, 543, 3844, 3127, 269, 769, 5045, 3127, 543, 13980, 540, 7532, 543, 7178, 3127, 630, 7945, 607, 2667, 600, 267, 4639, 19377, 543, 30899, 520, 1070, 519, 4095, 3084, 11706, 568, 4922, 1031, 563, 4415, 519, 12625, 540, 9099, 4341, 267, 519, 670, 6359, 686, 11706, 2968, 519, 4013, 11706, 540, 521, 23546, 919, 543, 519, 28753, 531, 7276, 269, 4438, 3703, 7810, 4341, 540, 519, 4095, 1016, 29657, 267, 519, 15535, 20187, 11706, 729, 7550, 543, 568, 4122, 1031, 538, 4683, 2127, 540, 3127, 269, 634, 15866, 5336, 639, 3916, 2477, 540, 9031, 543, 16273, 723, 1031, 519, 9099, 11706, 2094, 476, 3707, 278, 267, 855, 4587, 5931, 3769, 519, 23819, 1090, 6341, 341, 520, 543, 15535, 20187, 30300, 1513, 269, 769, 476, 1220, 274, 267, 519, 3127, 2861, 27566, 26757, 668, 8643, 717, 6324, 342, 4673, 3474, 7171, 327, 752, 9730, 7946, 6053, 7550, 519, 15089, 27232, 1695, 328, 11706, 269, 634, 645, 1731, 1090, 590, 3711, 520, 568, 519, 4013, 11706, 540, 18310, 563, 12024, 519, 15535, 20187, 11706, 267, 519, 23819, 1090, 6341, 341, 520, 11028, 322, 3796, 513, 3859, 1032, 609, 16264, 3275, 267, 855, 621, 20998, 519, 12355, 11706, 538, 922, 7829, 540, 519, 16264, 1606, 6897, 15739, 32735, 269, 9521, 519, 15535, 20187, 11706, 267, 799, 8591, 2395, 547, 519, 16264, 3923, 547, 4188, 585, 519, 25314, 2255, 1063, 12964, 16264, 9979, 630, 30500, 16264, 2395, 264, 543, 5176, 476, 18458, 3859, 2395, 267, 519, 23819, 1090, 6341, 341, 520, 543, 12355, 30300, 1513, 2226, 519, 8699, 540, 519, 16264, 3923, 282, 606, 3063, 3923, 1412, 1952, 8986, 3299, 593, 513, 7453, 3621, 4493, 267, 10199, 2899, 1169, 1614, 1296, 630, 528, 476, 278, 2053, 538, 513, 476, 866, 4458, 4783, 267, 547, 581, 811, 3169, 264, 547, 2327, 602, 15976, 543, 7693, 5829, 12738, 2887, 538, 519, 3617, 4005, 269, 634, 3063, 3923, 5526, 538, 4457, 543, 6014, 30300, 1513, 607, 1134, 282, 538, 3127, 621, 568, 1572, 740, 327, 1731, 12103, 553, 269, 634, 23819, 1090, 6341, 341, 520, 568, 835, 540, 519, 561, 684, 529, 6897, 30300, 1513, 2919, 676, 3504, 1480, 4529, 269, 7216, 14418, 2950, 538, 3127, 7550, 519, 3504, 9699, 11706, 267, 4553, 676, 519, 23819, 1090, 6341, 341, 520, 543, 2199, 14418, 30300, 1513, 269, 14418, 15976, 616, 1869, 16516, 2687, 547, 513, 16264, 1062, 563, 763, 23819, 1090, 6341, 341, 520, 814, 1079, 1949, 269, 898, 3459, 538, 476, 6321, 14514, 538, 519, 7013, 9699, 11706, 1062, 630, 4821, 9017, 264, 543, 476, 6872, 268, 6321, 14514, 538, 519, 7187, 1062, 630, 335, 1248, 9874, 9017, 1040, 634, 1744, 4157, 5055, 623, 27232, 320, 267, 950, 1034, 15976, 2049, 267, 14626, 1938, 538, 1312, 1949, 269, 634, 561, 684, 529, 6897, 23819, 1090, 6341, 341, 520, 11706, 568, 476, 6321, 269, 278, 1296, 6619, 540, 519, 3859, 15535, 20187, 11706, 282, 519, 1032, 476, 21709, 278, 29172, 3459, 538, 476, 1708, 271, 9460, 267, 543, 786, 1439, 538, 476, 1708, 272, 9460, 563, 763, 681, 3570, 15913, 540, 18310, 1500, 519, 645, 1731, 1090, 590, 3711, 520, 519, 4013, 9699, 11706, 538, 476, 5002, 272, 5084, 267, 799, 3459, 607, 476, 4198, 279, 29172, 269, 634, 1007, 1032, 538, 18310, 5956, 609, 519, 1101, 1554, 540, 519, 3923, 540, 13391, 880, 12112, 267, 799, 2356, 8813, 1472, 476, 1724, 268, 1428, 4989, 538, 519, 15535, 20187, 11706, 543, 7475, 609, 519, 2063, 1554, 540, 519, 3923, 932, 7159, 571, 269, 634, 1101, 1554, 540, 519, 1007, 1032, 568, 513, 1857, 9702, 538, 18310, 269, 645, 7416, 564, 808, 21358, 267, 606, 5993, 1286, 333, 2526, 538, 13225, 752, 339, 777, 584, 267, 568, 849, 9976, 593, 13391, 880, 12112, 476, 272, 269, 769, 476, 1220, 278, 267, 18310, 590, 3711, 520, 729, 849, 18931, 607, 513, 3084, 11706, 7258, 645, 1731, 1090, 590, 3711, 520, 563, 1103, 3127, 267, 519, 6963, 4327, 590, 10440, 11706, 568, 13166, 1031, 630, 21955, 585, 7384, 7389, 540, 519, 2757, 15976, 1040, 769, 519, 19446, 4528, 540, 519, 840, 600, 1076, 540, 519, 11156, 540, 3127, 267, 519, 4266, 540, 922, 10073, 630, 2918, 5437, 476, 3707, 280, 264, 568, 4843, 538, 23819, 1090, 6341, 341, 520, 607, 12540, 9917, 619, 327, 1744, 4157, 5055, 590, 2194, 9564, 6341, 341, 520, 476, 1220, 277, 269, 589, 1289, 814, 1044, 1500, 585, 519, 23819, 1090, 6341, 341, 520, 547, 5372, 519, 590, 10440, 11706 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3519, 756, 334, 267, 8109, 4400, 1633, 17305, 23449, 267, 772, 706, 330, 267, 570, 788, 334, 918, 5300, 523, 281, 968, 518, 848, 2223, 968, 342, 6559, 856, 2223, 968, 4565, 582, 856, 7536, 268, 4400, 1633, 570, 582, 517, 659, 267, 13535, 2246, 5055, 631, 1794, 622, 322, 281, 968, 1729, 6336, 2223, 968, 322, 1021, 547, 581, 4503, 2223, 968, 1729, 1118, 15877, 7536, 268, 570, 29992, 2145, 281, 968, 1729, 6336, 1776, 779, 5609, 856, 540, 835, 779, 2295, 7536, 268, 700, 24660, 267, 8738, 332, 3150, 281, 968, 1729, 581, 5950, 2223, 968, 1729, 581, 15685, 7536, 268, 15718, 659, 1276, 334, 6581, 577, 7699, 281, 968, 1729, 1377, 1055, 7536, 268, 962, 28739, 25764, 2098, 777, 1774, 322, 281, 968, 1729, 5641, 2476, 7536, 268, 932, 565, 281, 968, 1729, 1780, 676, 7536, 268, 10158, 340, 340, 281, 968, 1729, 1118, 1780, 7536, 268, 918, 335, 16279, 281, 968, 1729, 2490, 835, 779, 1394, 593, 7536, 268, 932, 545, 1695, 7699, 868, 5055, 10222, 638, 328, 281, 968, 1729, 3382, 936, 892, 630, 320, 4137, 540, 4633, 799, 568, 849, 6964, 538, 12355, 267, 855, 799, 538, 1082, 4654, 568, 711, 11807, 267, 1317, 621, 10522, 968, 327, 4575, 892, 610, 968, 935, 576, 531, 618, 892, 994, 268, 21741, 553, 1723, 932, 7267, 267, 13535, 747, 565, 281, 968, 1729, 1491, 2476, 21359, 7536, 268, 8776, 24652, 4149, 320, 8910, 534, 267, 808, 24170, 3150, 281, 968, 1729, 798, 2476, 609, 21359, 7536, 268, 5842, 2349, 553, 918, 10044, 281, 968, 518, 2084, 519, 9409, 2295, 892, 630, 10472, 543, 782, 1657, 281, 5696, 520, 7815, 1315, 715, 5866, 267, 4849, 570, 788, 334, 918, 5300, 523, 281, 8834, 774, 531, 10458, 538, 4591, 345, 27346, 523, 1315, 681, 573, 19907, 476, 1001, 271, 267, 533, 269, 476, 1839, 325, 8094, 268, 17378, 517, 281, 968, 1729, 11198, 519, 1688, 7536, 268, 631, 6403, 12921, 17010, 281, 968, 339, 820, 513, 812, 779, 13337, 856, 540, 707, 2295, 892, 630, 25899, 540, 713, 543, 519, 835, 1657, 281, 18741, 326, 712, 267, 533, 269, 476, 3199, 994, 268, 5375, 3474, 321, 622, 918, 5069, 281, 968, 684, 11415, 2576, 892, 12462, 3835, 513, 1989, 19276, 892, 2443, 968, 17647, 2576, 1193, 2426, 909, 538, 707, 2295, 14615, 630, 25899, 281, 20242, 1562, 267, 533, 269, 476, 14378, 994, 268, 9919, 25975, 8457, 281, 1759, 593, 2161, 5979, 281, 968, 2998, 3564, 7536, 268, 19129, 32634, 281, 1759, 593, 1659, 534, 281, 968, 333, 821, 892, 610, 968, 7224, 811, 892, 630, 25899, 585, 713, 543, 1657, 281, 717, 269, 8361, 4826, 2006, 538, 634, 6426, 25927, 1807, 476, 3422, 271, 267, 533, 269, 476, 2190, 742, 8094, 268, 570, 345, 582, 7588, 281, 669, 685, 599, 321, 559, 343, 320, 12462, 527, 814, 1044, 4503, 14615, 630, 25899, 281, 32363, 559, 1206, 267, 533, 269, 476, 14093, 994, 268, 2672, 7288, 281, 536, 807, 2131, 552, 13453, 655, 879, 11445, 281, 968, 24708, 2295, 2571, 892, 630, 13126, 700, 269, 543, 661, 269, 3828, 344, 2006, 538, 634, 6426, 25927, 1807, 476, 4198, 274, 267, 533, 269, 476, 11011, 742, 8094, 268, 6742, 340, 15651, 6390, 281, 968, 628, 992, 856, 3983, 1145, 892, 630, 25899, 281, 14161, 24162, 994, 268, 631, 1515, 14515, 281, 968, 323, 1143, 656, 548, 4636, 338, 892, 630, 25899, 281, 1621, 326, 822, 582, 518, 476, 1220, 275, 994, 268, 918, 3019, 345, 830, 281, 968, 8145, 8221, 519, 3983, 632, 539, 2275, 12420, 892, 12462, 763, 918, 3019, 345, 830, 2482, 856, 519, 23339, 3090, 1227, 2443, 2356, 17446, 540, 19337, 6978, 2443, 543, 24667, 12838, 741, 20494, 341, 1734, 609, 519, 1268, 9619, 1848, 264, 630, 13126, 281, 3223, 603, 543, 6307, 2142, 822, 517, 538, 11872, 593, 22564, 476, 274, 270, 1960, 277, 267, 533, 269, 476, 1626, 994, 268, 31436, 321, 10440, 281, 1605, 281, 968, 1721, 326, 633, 543, 7340, 892, 630, 300, 1173, 15756, 10830, 1496, 514, 4591, 345, 27346, 523, 1299, 681, 573, 699, 476, 1001, 271, 267, 533, 269, 476, 279, 325, 20426, 31061, 602, 8385, 972, 941, 1079, 1114, 1913, 1031, 538, 31436, 321, 10440, 267, 835, 585, 2696, 630, 25279, 264, 543, 835, 585, 1004, 630, 3387, 32634, 2443, 28195, 1945, 264, 2094, 621, 729, 5433, 602, 1004, 1522, 1134, 31799, 855, 267, 7429, 2696, 267, 666, 1406, 7340, 563, 268, 2549, 24660, 20403, 281, 968, 518, 2084, 892, 1315, 968, 8243, 334, 5847, 936, 892, 12462, 2005, 729, 606, 4082, 519, 1004, 1031, 585, 5347, 532, 936, 13897, 950, 7436, 610, 12400, 1185, 1044, 1500, 538, 621, 269, 898, 5921, 530, 31441, 1055, 7452, 538, 799, 7436, 1185, 1044, 1500, 267, 610, 530, 31441, 1055, 1603, 593, 519, 3109, 4580, 269, 1677, 26763, 1055, 519, 1793, 622, 267, 547, 32135, 267, 547, 1491, 4625, 2476, 2443, 621, 814, 513, 1360, 2647, 2495, 543, 10039, 1360, 1134, 547, 2696, 779, 530, 31441, 2476, 21359, 267, 9427, 873, 689, 519, 2594, 267, 2921, 873, 2476, 1848, 264, 630, 13126, 281, 7917, 15570, 1088, 267, 20926, 538, 654, 8712, 1315, 26999, 9116, 476, 4198, 280, 267, 533, 269, 476, 4350, 994, 16729, 616, 513, 1297, 540, 1394, 20675, 331, 725, 540, 15623, 476, 277, 281, 1428, 912, 268, 772, 2742, 281, 968, 3719, 952, 649, 630, 514, 743, 4700, 798, 711, 31799, 1866, 945, 798, 4636, 547, 721, 630, 514, 743, 13776, 865, 849, 938, 630, 514, 743, 4700, 12429, 538, 13140, 786, 711, 31799, 721, 630, 514, 743, 12175, 892, 630, 13126, 281, 772, 2742, 7982, 22564, 994, 268, 962, 31703, 281, 968, 3719, 952, 596, 798, 711, 31799, 519, 5609, 540, 707, 13959, 267, 2696, 786, 849, 711, 31799, 707, 5609, 9538, 892, 630, 13126, 281, 962, 31703, 7982, 22564, 994, 268, 5375, 645, 4157, 573, 12061, 2494, 984, 334, 281, 968, 4913, 952, 596, 1810, 1406, 31799, 707, 13959, 267, 938, 4651, 538, 13140, 786, 711, 31799, 596, 2901, 1848, 630, 13126, 281, 5375, 645, 4157, 573, 12061, 2494, 984, 334, 7982, 22564, 994, 268, 918, 1678, 534, 2801, 344, 281, 968, 3719, 952, 596, 798, 711, 31799, 873, 267, 9444, 786, 938, 12429, 538, 13140, 31799, 707, 21359, 9538, 892, 630, 13126, 281, 918, 1678, 534, 2801, 344, 7982, 22564, 994, 268, 22105, 3316, 11445, 281, 968, 3719, 952, 596, 5749, 1406, 8483, 1516, 519, 835, 945, 814, 5609, 2740, 1996, 596, 267, 9444, 786, 596, 581, 8483, 1508, 676, 707, 12429, 538, 13140, 585, 707, 21359, 1848, 630, 13126, 281, 22105, 3316, 11445, 7982, 22564, 994, 268, 14210, 24546, 17305, 23449, 281, 968, 3719, 952, 596, 798, 711, 1616, 547, 31799, 707, 8284, 2006, 267, 1287, 707, 12429, 538, 13140, 849, 786, 711, 31799, 707, 21359, 1848, 630, 13126, 281, 14210, 24546, 17305, 23449, 7982, 22564, 994, 12024, 1082, 4654, 630, 8117, 7429, 5259, 610, 12355, 610, 2296, 1070, 16515, 7079, 3096, 513, 6101, 5288, 269, 13016, 476, 273, 526, 1268, 15749, 630, 320, 5432, 5288, 269, 513, 16614, 968, 9767, 26158, 9521, 824, 4654, 602, 723, 713, 4183, 267, 2705, 267, 519, 6037, 2209, 540, 519, 16515, 7079, 6426, 723, 13986, 547, 581, 1360, 5812, 538, 1210, 519, 1114, 3029, 540, 2232, 538, 1169, 2013, 513, 476, 273, 526, 1268, 15749, 814, 547, 581, 1031, 538, 519, 8144, 540, 519, 13400, 1257, 563, 2026, 966, 7765, 990, 2982, 538, 25460, 558, 1400, 28613, 538, 25927, 908, 519, 717, 28145, 630, 514, 281, 634, 6426, 25927, 1807, 476, 1220, 273, 267, 533, 269, 476, 13975, 742, 13776, 519, 3903, 547, 946, 2901, 540, 519, 21770, 1082, 2053, 3238, 24396, 10385, 269, 2755, 519, 6101, 15749, 666, 5365, 2123, 3845, 610, 513, 1514, 9706, 1077, 3845, 1063, 519, 10584, 543, 1039, 637, 5408, 267, 519, 13016, 15749, 666, 5815, 23440, 610, 1514, 9706, 1077, 7862, 1063, 10584, 543, 1039, 637, 5408, 563, 2080, 267, 4906, 568, 5466, 1010, 20785, 267, 2043, 543, 5924, 24921, 609, 519, 6101, 15749, 267, 6029, 2463, 563, 1103, 1034, 10656, 16627, 267, 4906, 9607, 1010, 20785, 543, 1455, 1004, 609, 519, 13016, 15749, 267, 6466, 789, 2232, 1864, 609, 519, 6101, 1106, 269, 0, 7617, 3301, 568, 1031, 585, 5769, 17774, 532, 888, 763, 1034, 2442, 1357, 26292, 616, 5616, 24904, 267, 9786, 22750, 630, 845, 28861, 5769, 25817, 1070, 20787, 8759, 32288, 2135, 267, 543, 11197, 779, 6380, 926, 269, 1403, 596, 723, 513, 8837, 2780, 267, 9786, 22750, 630, 528, 922, 4587, 11218, 267, 5769, 25817, 264, 616, 2907, 8704, 593, 707, 2780, 563, 1432, 568, 2877, 585, 5769, 17774, 532, 888, 25542, 17774, 532, 1152, 3340, 1614, 2596, 1919, 689, 707, 2780, 1700, 320, 26815, 3728, 16267, 267, 513, 22510, 2179, 540, 20433, 543, 513, 1164, 3432, 1110, 655, 610, 3060, 3556, 269, 2560, 2659, 16267, 568, 519, 5057, 540, 707, 2780, 602, 2636, 3301, 547, 7500, 269, 15742, 3292, 2154, 5488, 21932, 982, 1866, 563, 3963, 798, 596, 17774, 5769, 888, 1103, 713, 5108, 267, 17774, 532, 519, 5769, 814, 1831, 938, 3232, 6296, 269, 2060, 519, 4880, 267, 649, 666, 798, 1082, 1919, 267, 971, 607, 10918, 585, 9660, 267, 1818, 2828, 267, 543, 3478, 1344, 269, 2560, 4475, 267, 1818, 2828, 593, 519, 5769, 666, 711, 1152, 1930, 938, 2247, 547, 519, 1158, 855, 849, 2087, 938, 1893, 1983, 563, 3674, 621, 17774, 532, 519, 5769, 610, 17774, 532, 593, 5769, 888, 300, 1897, 9622, 7978, 269, 1358, 2161, 602, 968, 31162, 325, 519, 5769, 892, 1797, 968, 1729, 979, 3483, 569, 689, 3135, 547, 3135, 610, 547, 19584, 892, 1247, 968, 31162, 325, 593, 519, 5769, 892, 1797, 968, 1729, 19584, 610, 1847, 689, 3135, 547, 3135, 14477, 9731, 1432, 616, 519, 1614, 1034, 4122, 1031, 26292, 888, 763, 1034, 2442, 1699, 26292, 616, 9786, 5769, 25817, 267, 5616, 24904, 267, 20787, 8759, 32288, 2135, 543, 11197, 779, 6380, 926, 563, 1692, 798, 594, 1921, 1250, 1110, 655, 547, 519, 5769, 888, 21010, 835, 1439, 540, 835, 25494, 10814, 883, 519, 1394, 540, 519, 1110, 655, 267, 1287, 1921, 519, 824, 1439, 883, 519, 22453, 9351, 8416, 630, 310, 3198, 264, 2823, 593, 519, 18760, 269, 4045, 519, 18760, 1379, 10260, 883, 606, 5122, 17752, 267, 1287, 1921, 519, 824, 1439, 547, 519, 18760, 563, 7617, 16267, 568, 1655, 585, 4950, 3432, 888, 2252, 596, 8910, 2864, 723, 513, 811, 3532, 3684, 267, 6718, 606, 27311, 1775, 278, 799, 666, 2196, 909, 547, 476, 274, 269, 280, 717, 13703, 269, 7537, 291, 779, 589, 1015, 6811, 547, 723, 909, 547, 476, 275, 269, 275, 717, 13703, 540, 4393, 3432, 269, 1403, 596, 946, 1950, 7270, 547, 798, 707, 960, 267, 4444, 17765, 3631, 609, 3063, 1379, 610, 1379, 5818, 7207, 563, 1432, 568, 3017, 1063, 10478, 543, 17774, 532, 888, 289, 4900, 532, 1797, 10478, 585, 1945, 1808, 1247, 17774, 532, 1797, 14477, 10478, 585, 1945, 269, 5080, 325, 532, 568, 942, 10438, 982, 11422, 1317, 538, 17774, 532, 596, 723, 547, 1224, 856, 2603, 540, 3817, 547, 1205, 519, 5551, 1267, 269, 6693, 1432, 568, 519, 3017, 1063, 19855, 543, 17774, 532, 888, 289, 4900, 532, 568, 2944, 1210, 1357, 11422, 269, 5080, 325, 532, 568, 2944, 1210, 513, 3406, 2599, 269, 645, 4900, 532, 568, 6098, 593, 1880, 7270, 267, 607, 3593, 6487, 1141, 547, 1413, 1018, 568, 2838, 269, 5080, 325, 532, 568, 4351, 543, 1034, 2442, 22812, 10589, 19707, 2982, 519, 3593, 519, 3896, 646, 24172, 991, 547, 3643, 563, 3674, 519, 5769, 17774, 532, 1434, 585, 721, 888, 763, 3173, 1336, 602, 519, 5680, 1606, 584, 325, 619, 941, 3648, 811, 11327, 543, 2500, 693, 519, 4247, 982, 1346, 538, 519, 824, 1079, 2516, 543, 4080, 2539, 2157, 540, 2790, 25874, 267, 30627, 543, 2362, 2157, 540, 6278, 269, 968, 289, 4900, 532, 519, 5769, 5713, 606, 1271, 29260, 1599, 2223, 519, 4589, 1767, 269, 0, 8512, 540, 513, 1305, 269, 6423, 782, 1305, 5638, 454, 263, 2005, 6501, 267, 476, 1428, 628, 2540, 994, 291, 644, 2917, 623, 269, 19395, 8750, 476, 4572, 275, 269, 28242, 269, 2918, 454, 290, 7614, 4084, 986, 2581, 333, 2946, 281, 13130, 661, 15660, 269, 476, 2918, 320, 454, 1607, 23678, 1324, 568, 851, 540, 519, 1895, 968, 290, 892, 3957, 27565, 8551, 269, 10417, 1302, 267, 519, 12666, 6575, 26731, 689, 8106, 25196, 267, 543, 941, 5258, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2470, 540, 741, 9015, 267, 16079, 532, 2147, 9840, 1851, 15806, 2429, 1686, 780, 2414, 2253, 267, 1577, 721, 11291, 4144, 4094, 525, 5487, 1068, 3780, 262, 6609, 540, 774, 2297, 607, 606, 31485, 267, 21997, 267, 543, 22082, 12544, 15266, 547, 519, 15834, 6891, 7915, 538, 2038, 3621, 18697, 269, 634, 1646, 540, 9511, 1282, 713, 1974, 9727, 519, 15982, 2078, 1063, 6310, 6602, 543, 10952, 14374, 269, 1306, 596, 1224, 2417, 827, 23006, 781, 6138, 267, 2015, 875, 891, 3140, 4296, 1869, 13469, 1369, 2413, 6310, 2853, 780, 298, 656, 781, 7600, 1664, 540, 26192, 17217, 5713, 607, 519, 5748, 585, 1010, 5499, 5133, 593, 6128, 269, 769, 9759, 267, 646, 11130, 602, 1480, 17133, 5161, 540, 1312, 7789, 2032, 630, 10843, 10444, 1995, 264, 543, 15514, 2033, 640, 630, 935, 1061, 5250, 1040, 1635, 796, 4328, 891, 2609, 267, 3425, 5352, 1702, 269, 4340, 547, 23006, 267, 2230, 543, 942, 616, 9444, 6662, 9988, 6862, 2472, 540, 6986, 2601, 282, 2864, 267, 789, 616, 3029, 540, 20932, 13684, 2390, 6151, 1239, 676, 519, 2247, 3294, 269, 4935, 267, 8901, 7744, 3587, 2009, 1813, 547, 17916, 2790, 3889, 267, 3850, 721, 547, 10146, 12166, 3741, 1510, 1463, 8343, 780, 23338, 547, 23006, 781, 6138, 540, 6128, 568, 1010, 10206, 540, 10991, 513, 1991, 328, 21520, 269, 2552, 9009, 547, 25107, 3981, 1431, 6508, 9003, 689, 8847, 630, 324, 3052, 1421, 834, 5472, 536, 659, 3559, 832, 616, 796, 3405, 3072, 19823, 10991, 6898, 4125, 1007, 1344, 5833, 3842, 1995, 610, 20932, 9497, 763, 3032, 568, 593, 519, 1319, 20257, 589, 1991, 328, 21520, 267, 29285, 267, 20301, 6811, 1634, 10446, 540, 1995, 269, 1280, 1383, 267, 950, 6061, 15821, 4834, 267, 649, 7048, 593, 2489, 3652, 9715, 998, 2069, 2864, 982, 1808, 7422, 780, 12385, 3012, 673, 18408, 267, 2687, 547, 23006, 267, 2099, 10991, 513, 1991, 328, 21520, 1317, 789, 8831, 938, 1702, 3564, 6071, 512, 2246, 3098, 1247, 6967, 24080, 4570, 7488, 540, 12170, 2963, 269, 16387, 3091, 606, 5140, 14745, 281, 4352, 1100, 13113, 1305, 540, 2833, 1223, 6166, 28070, 2022, 12885, 267, 891, 3741, 3180, 3020, 1813, 547, 938, 5042, 31399, 625, 1785, 1005, 22883, 3999, 32294, 9259, 780, 3086, 267, 2992, 2390, 4207, 27900, 4478, 1875, 7232, 16090, 22470, 22762, 1845, 543, 4244, 1297, 1949, 269, 1215, 1281, 23006, 781, 2272, 13918, 971, 7835, 286, 4014, 7620, 2966, 585, 10503, 2168, 4641, 267, 1875, 7232, 16090, 22470, 22762, 1845, 2663, 1336, 3156, 538, 7493, 8658, 267, 11021, 602, 8901, 7744, 991, 711, 581, 16876, 547, 938, 5432, 1614, 8820, 1158, 269, 5047, 267, 14178, 519, 1523, 540, 2338, 630, 553, 2938, 538, 1950, 2079, 610, 533, 14194, 545, 4610, 264, 2591, 2757, 18765, 540, 12980, 4238, 269, 16480, 267, 891, 10124, 2611, 4111, 1043, 10502, 1317, 789, 1628, 2390, 840, 25365, 16022, 10850, 780, 1103, 3932, 267, 23006, 781, 6138, 540, 6128, 2488, 3407, 4030, 3823, 519, 2470, 540, 6310, 1702, 543, 922, 6935, 547, 1480, 17133, 269, 3571, 8561, 593, 10282, 267, 20932, 267, 543, 513, 1991, 328, 10385, 7512, 721, 547, 5660, 519, 1909, 540, 2790, 3889, 538, 5935, 938, 1620, 540, 7493, 687, 269, 5015, 267, 6236, 1699, 9840, 8711, 519, 11972, 10083, 540, 23006, 1014, 2093, 538, 10188, 9687, 6310, 8916, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1993, 519, 11096, 14279, 454, 9617, 519, 4583, 1913, 454, 257, 2467, 568, 4986, 865, 21494, 855, 930, 14544, 814, 1767, 621, 1701, 595, 545, 3266, 454, 10955, 1243, 676, 717, 14979, 24806, 9736, 476, 1001, 273, 454, 306, 20325, 630, 1492, 4521, 326, 1853, 264, 524, 25953, 910, 524, 4649, 277, 7460, 2276, 2006, 540, 18603, 267, 5856, 540, 922, 17519, 3656, 3009, 563, 310, 3994, 4777, 532, 666, 1152, 581, 14284, 952, 1346, 945, 616, 711, 4636, 539, 1745, 519, 1482, 967, 793, 566, 693, 621, 607, 1346, 945, 616, 269, 5259, 31864, 630, 293, 269, 19232, 344, 994, 11854, 3663, 568, 519, 3239, 540, 3527, 282, 1862, 602, 4031, 941, 899, 25865, 933, 2125, 267, 585, 602, 952, 1022, 959, 604, 1782, 610, 1379, 1652, 3364, 8593, 883, 873, 267, 789, 4371, 621, 3728, 282, 1247, 952, 621, 941, 1945, 2597, 1512, 267, 621, 13264, 998, 873, 543, 729, 1055, 269, 22032, 540, 519, 661, 2381, 550, 11096, 14279, 630, 13312, 4094, 525, 5487, 1068, 3780, 994, 13706, 707, 22632, 267, 607, 513, 9543, 2006, 267, 540, 811, 2597, 982, 606, 522, 987, 269, 8550, 2995, 513, 9114, 269, 9796, 3007, 547, 6927, 540, 2956, 269, 22032, 540, 519, 661, 2381, 550, 11096, 14279, 630, 13312, 4094, 525, 5487, 1068, 3780, 994, 2026, 930, 2161, 267, 3752, 517, 729, 519, 2278, 540, 519, 3284, 2684, 1492, 326, 332, 267, 834, 301, 5847, 538, 4430, 1701, 22032, 540, 519, 661, 2381, 550, 11096, 14279, 630, 13312, 4094, 525, 5487, 1068, 3780, 994, 1320, 2297, 524, 277, 2190, 268, 276, 5325, 7460, 13562, 9593, 267, 21997, 543, 22082, 522, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 656, 781, 13898, 540, 9119, 257, 607, 851, 540, 834, 21316, 30388, 1315, 3778, 1299, 13898, 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, 634, 28249, 540, 27438, 7304, 747, 10791, 543, 1290, 3228, 5253, 281, 1323, 16709, 998, 24953, 29968, 623, 3291, 532, 692, 296, 269, 4985, 692, 2026, 2852, 1053, 267, 621, 781, 2653, 547, 1205, 9575, 909, 538, 519, 13418, 540, 3728, 1426, 543, 9268, 6980, 269, 1717, 267, 6220, 811, 6775, 883, 938, 11326, 666, 723, 7096, 5222, 593, 938, 2949, 1072, 269, 901, 3184, 12538, 883, 519, 1523, 540, 8192, 6775, 267, 922, 2956, 267, 543, 875, 621, 12211, 547, 4313, 1426, 267, 4481, 3636, 3694, 30077, 902, 269, 1635, 3695, 713, 10167, 267, 649, 2832, 547, 3895, 513, 4514, 1620, 540, 6775, 11656, 5986, 1247, 1869, 18656, 3101, 538, 8949, 543, 17598, 8286, 780, 2862, 269, 4197, 26678, 27438, 692, 288, 269, 9502, 543, 9537, 692, 291, 2884, 776, 6775, 4016, 547, 519, 17580, 2694, 540, 2371, 11259, 547, 12536, 543, 10338, 538, 519, 1480, 1507, 16892, 269, 898, 13408, 1875, 3613, 1105, 30713, 30828, 630, 301, 9915, 1070, 971, 607, 27794, 267, 646, 6193, 749, 21695, 267, 543, 533, 24514, 267, 2059, 609, 31429, 514, 267, 14589, 525, 267, 543, 824, 3334, 269, 1452, 11103, 616, 9286, 883, 1079, 6688, 1759, 593, 741, 1216, 32610, 1384, 272, 269, 3752, 12657, 27438, 281, 19837, 11510, 538, 1216, 267, 8108, 513, 15074, 6438, 6219, 1282, 12536, 269, 6201, 1331, 20369, 961, 1756, 267, 12498, 25322, 1075, 753, 267, 1368, 541, 10733, 267, 543, 27046, 4839, 563, 273, 269, 6184, 20107, 27438, 281, 6496, 711, 23271, 538, 1216, 267, 4946, 13557, 547, 22454, 543, 5009, 561, 1314, 566, 269, 6201, 1331, 10568, 4839, 267, 27794, 267, 543, 646, 6193, 749, 21695, 780, 289, 269, 2657, 11588, 540, 27438, 692, 28885, 7850, 6775, 883, 707, 3232, 2732, 2488, 3875, 1072, 5383, 1384, 272, 269, 25841, 769, 25691, 281, 27438, 7028, 8937, 26168, 4763, 267, 799, 2337, 2226, 4550, 13611, 6114, 1369, 519, 1560, 563, 273, 269, 8899, 1229, 932, 7995, 20946, 281, 3752, 12657, 6775, 25907, 547, 23925, 7408, 267, 14123, 608, 17917, 543, 7303, 556, 25388, 1632, 282, 3976, 267, 13302, 25928, 9497, 21112, 8442, 8501, 2157, 563, 274, 269, 20865, 14332, 601, 8617, 640, 281, 6184, 20107, 6775, 4679, 32740, 4320, 543, 18302, 942, 267, 5885, 6099, 15108, 5322, 543, 7303, 19228, 563, 275, 269, 10552, 17491, 19938, 281, 5637, 2010, 540, 6775, 3500, 1524, 7280, 10338, 267, 4611, 538, 8669, 1512, 1973, 4006, 2157, 543, 4824, 7378, 8417, 563, 276, 269, 13379, 5004, 281, 4400, 1922, 9200, 3536, 2333, 2893, 328, 1214, 267, 3056, 547, 4389, 17811, 4616, 2429, 519, 1554, 780, 7656, 269, 7351, 12367, 543, 7464, 21509, 10241, 692, 17457, 6484, 1382, 11363, 519, 4644, 540, 10438, 6190, 6775, 267, 3226, 2016, 519, 4473, 538, 5375, 1242, 11326, 1970, 538, 2898, 267, 2030, 2861, 3536, 269, 4340, 547, 513, 1353, 3370, 676, 519, 4750, 540, 15168, 12278, 9315, 5735, 267, 4079, 1058, 8532, 1063, 476, 1839, 268, 4343, 10101, 540, 6775, 3232, 267, 4470, 593, 2085, 543, 4008, 630, 312, 836, 1696, 620, 1421, 476, 1001, 276, 1040, 10251, 267, 1034, 2043, 2887, 2110, 540, 891, 7840, 269, 4935, 267, 10128, 6775, 11656, 5820, 883, 5432, 4313, 3536, 267, 899, 3694, 30077, 532, 267, 949, 5000, 2799, 6775, 6981, 1851, 2852, 1053, 543, 3564, 780, 4353, 269, 18181, 9828, 281, 27759, 27438, 7304, 747, 24953, 29968, 623, 3291, 902, 692, 288, 269, 29922, 23123, 692, 2691, 2870, 513, 6775, 11656, 3694, 30077, 532, 11600, 267, 1445, 593, 1164, 1922, 9200, 3334, 267, 971, 607, 1384, 272, 269, 19940, 10286, 3694, 281, 7994, 8677, 1500, 689, 2898, 10568, 7912, 267, 30383, 267, 838, 3881, 267, 610, 844, 29184, 3079, 540, 15568, 3043, 7912, 269, 6733, 585, 3138, 2314, 5627, 693, 2547, 476, 274, 326, 540, 6775, 829, 20105, 563, 273, 269, 715, 7491, 1299, 25994, 281, 1325, 24325, 267, 9267, 22756, 267, 22481, 5452, 267, 30011, 5452, 267, 30485, 572, 2644, 267, 543, 669, 807, 5452, 782, 3565, 2635, 9600, 543, 8101, 6775, 1543, 563, 274, 269, 667, 3072, 4829, 281, 681, 9820, 1231, 267, 3284, 878, 1824, 267, 929, 17480, 267, 7389, 267, 4453, 338, 267, 543, 22623, 11241, 2709, 2067, 29284, 7258, 3407, 6775, 269, 2142, 13533, 540, 6712, 7306, 1813, 547, 741, 7915, 14836, 563, 275, 269, 6181, 6979, 281, 2349, 2056, 11273, 7105, 701, 553, 610, 3109, 10365, 883, 8169, 731, 23399, 8591, 3940, 543, 3063, 6775, 1510, 19249, 9403, 3648, 563, 276, 269, 744, 1846, 281, 17029, 1194, 610, 5374, 24408, 28113, 6451, 1134, 883, 3694, 30077, 532, 10346, 267, 3246, 3606, 19729, 6775, 780, 289, 269, 11154, 532, 12465, 31204, 692, 2414, 2981, 5929, 3694, 30077, 532, 883, 513, 8770, 1673, 1619, 1379, 5264, 267, 1246, 891, 3268, 1384, 272, 269, 29799, 3368, 519, 3694, 1572, 585, 538, 707, 5172, 11600, 609, 18202, 28113, 269, 1924, 752, 873, 16074, 538, 5144, 610, 2030, 2861, 8925, 547, 21352, 563, 273, 269, 4210, 777, 856, 2757, 10683, 8645, 585, 5667, 11548, 2989, 17310, 8645, 610, 8732, 515, 342, 8645, 269, 5637, 3681, 2270, 2295, 268, 11794, 9600, 543, 8766, 3773, 14836, 563, 274, 269, 5410, 29656, 22872, 10808, 543, 5452, 547, 3986, 8137, 543, 9403, 1247, 2810, 6775, 1543, 269, 6333, 1210, 1793, 9121, 30646, 267, 16760, 9267, 22756, 267, 610, 28777, 22481, 5452, 563, 275, 269, 17186, 538, 6986, 539, 22053, 547, 1711, 513, 16437, 518, 267, 21950, 30077, 532, 609, 11029, 3618, 344, 4967, 269, 667, 1778, 543, 11100, 8499, 1354, 9256, 609, 5277, 5820, 563, 276, 269, 8838, 585, 12015, 5613, 936, 4796, 1221, 8747, 547, 2057, 11991, 14836, 269, 1403, 5551, 267, 2569, 2949, 6653, 10273, 9424, 543, 8415, 4244, 3681, 267, 899, 25308, 21360, 610, 4266, 13594, 780, 309, 269, 10390, 692, 3528, 8508, 6775, 11656, 5820, 950, 8600, 4313, 3536, 267, 2852, 1053, 666, 2972, 17705, 8286, 1247, 8195, 5355, 741, 2949, 1072, 4093, 269, 1306, 7152, 998, 15268, 2757, 3694, 30077, 532, 10346, 267, 11029, 12146, 2220, 2355, 6556, 11141, 27993, 3823, 6775, 6981, 269, 5890, 21505, 2390, 891, 3741, 2066, 1585, 11477, 3156, 7512, 1279, 3856, 10073, 540, 7059, 4189, 6208, 910, 6038, 5807, 4264, 8171, 2853, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 273, 1295, 1224, 6258, 875, 3207, 666, 5818, 519, 4761, 1062, 267, 2061, 2068, 267, 1489, 2790, 1072, 543, 865, 1454, 811, 563, 1432, 568, 6775, 888, 291, 2884, 776, 6775, 568, 513, 562, 1180, 580, 652, 1043, 1570, 1336, 1152, 538, 2371, 602, 3091, 1271, 1072, 2640, 267, 899, 4227, 6553, 267, 16715, 8501, 267, 543, 4543, 609, 15108, 2834, 640, 269, 27438, 568, 1336, 538, 2898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 298, 1803, 4280, 30621, 547, 1224, 519, 1507, 1820, 538, 519, 3561, 2094, 30621, 1185, 1434, 5075, 269, 0, 9223, 281, 634, 2622, 2657, 9257, 543, 1896, 824, 2136, 8315, 8041, 616, 10912, 585, 513, 2101, 1007, 4674, 547, 4339, 13663, 267, 21061, 543, 15978, 269, 1452, 1614, 11763, 3676, 7166, 3592, 476, 277, 2929, 1004, 2063, 1032, 269, 2334, 568, 827, 476, 1015, 2600, 540, 519, 2698, 1297, 540, 7972, 1472, 519, 1158, 2063, 1032, 269, 634, 14959, 543, 6167, 8041, 5950, 513, 1007, 1867, 693, 519, 2622, 9483, 17072, 538, 1715, 3840, 4975, 4505, 713, 3923, 269, 634, 3561, 3081, 602, 7972, 1472, 519, 1158, 689, 13663, 543, 21061, 1223, 581, 2759, 538, 3368, 676, 519, 1032, 476, 1001, 271, 269, 898, 849, 3081, 519, 1297, 540, 7972, 689, 15978, 1223, 581, 4389, 476, 1839, 2600, 1369, 602, 1482, 942, 1974, 269, 634, 1867, 568, 1572, 834, 290, 16226, 5455, 519, 15863, 547, 29956, 15302, 1701, 898, 7125, 585, 5458, 1007, 9541, 538, 2409, 547, 2061, 543, 1521, 11763, 3676, 269, 12079, 10118, 2161, 2724, 568, 2877, 585, 1382, 543, 547, 6718, 5061, 269, 14559, 568, 849, 2877, 547, 3457, 547, 2061, 3676, 267, 971, 607, 5127, 24437, 269, 16170, 24437, 2061, 19498, 602, 4163, 13663, 689, 24146, 1004, 1247, 789, 3207, 269, 6424, 19850, 10458, 267, 8689, 540, 519, 11763, 2068, 1982, 693, 519, 2622, 2657, 9257, 267, 3081, 602, 3246, 2500, 3075, 5574, 568, 1271, 585, 5355, 9082, 262, 1072, 543, 2804, 1134, 910, 1373, 269, 26805, 2068, 666, 849, 948, 2087, 2804, 2208, 538, 3384, 2477, 269, 634, 14959, 1867, 849, 6257, 3811, 1072, 3292, 538, 3384, 2477, 269, 769, 18475, 267, 585, 1383, 267, 519, 1297, 540, 21061, 2665, 729, 2759, 538, 3368, 676, 2810, 519, 2126, 547, 1852, 519, 2068, 269, 769, 10476, 267, 13663, 729, 4389, 476, 9032, 2600, 998, 519, 946, 540, 5127, 24437, 269, 1656, 538, 24063, 267, 2665, 540, 519, 3644, 602, 3123, 15978, 941, 2759, 538, 3368, 1851, 9176, 2021, 543, 1453, 998, 519, 946, 540, 4550, 910, 15978, 5061, 269, 901, 1007, 3486, 1072, 5859, 568, 6059, 547, 1942, 827, 476, 1321, 267, 1822, 2929, 9489, 513, 1032, 269, 1924, 2484, 267, 8387, 2161, 519, 5859, 814, 827, 476, 273, 267, 1822, 2929, 9489, 269, 634, 14959, 3081, 519, 5859, 786, 991, 6793, 3347, 1851, 2229, 267, 4357, 5351, 8041, 267, 543, 3075, 3549, 547, 8011, 269, 1677, 4339, 519, 3676, 267, 476, 9041, 476, 568, 2556, 563, 288, 269, 1732, 1604, 454, 289, 269, 9316, 1063, 1114, 1004, 454, 290, 269, 547, 26763, 856, 519, 10860, 454, 291, 269, 811, 5061, 543, 2724, 454, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 513, 1268, 454, 288, 269, 18015, 1930, 513, 10237, 1807, 3362, 454, 289, 269, 18015, 1930, 513, 4411, 14420, 3362, 454, 12585, 281, 645, 0, 9223, 281, 5808, 729, 7466, 3943, 10579, 540, 519, 25181, 286, 3689, 1063, 2904, 476, 1220, 273, 543, 4728, 476, 1220, 275, 267, 543, 1287, 1063, 2904, 476, 1220, 276, 543, 4728, 476, 1220, 278, 888, 12585, 281, 19819, 592, 807, 521, 1046, 25822, 0, 9223, 281, 1548, 616, 13204, 3603, 547, 1118, 986, 529, 1231, 888, 12585, 281, 536, 31708, 540, 18683, 0, 9223, 281, 7705, 267, 476, 3374, 1296, 2025, 594, 899, 10918, 267, 855, 10918, 609, 1762, 1453, 568, 711, 513, 1434, 3364, 269, 594, 723, 547, 1413, 1310, 873, 1247, 594, 6415, 10918, 269, 594, 979, 10918, 609, 1250, 9393, 1152, 950, 594, 1616, 547, 4444, 1945, 585, 1864, 269, 1879, 594, 1413, 693, 513, 10464, 10571, 267, 646, 2141, 3081, 267, 834, 2005, 781, 8799, 593, 596, 1701, 1809, 950, 594, 723, 606, 7199, 835, 538, 1250, 3946, 267, 646, 2141, 3081, 267, 834, 296, 1810, 1405, 1589, 621, 13352, 596, 1134, 1701, 1924, 594, 1419, 979, 10918, 609, 1250, 2828, 269, 898, 781, 1187, 269, 12756, 267, 476, 2918, 1296, 2025, 594, 899, 10918, 1360, 1454, 267, 855, 594, 2760, 979, 10918, 593, 32300, 269, 1703, 616, 1932, 1082, 1004, 538, 15945, 269, 594, 1810, 1405, 899, 10918, 609, 824, 1004, 269, 898, 2356, 3217, 803, 1454, 942, 547, 4444, 1919, 1317, 594, 2760, 4444, 519, 1101, 3364, 594, 1294, 269, 594, 2141, 1413, 1472, 824, 15945, 547, 1265, 519, 1482, 3364, 14949, 269, 594, 6415, 1434, 693, 4466, 10464, 1919, 269, 594, 1810, 1405, 899, 9140, 1426, 538, 1507, 15945, 610, 8265, 6990, 269, 594, 1589, 1426, 538, 519, 2706, 5658, 1115, 568, 4195, 567, 543, 10464, 269, 12756, 1281, 711, 899, 10918, 593, 32300, 1317, 567, 9041, 476, 4586, 288, 269, 1352, 814, 1100, 942, 454, 289, 269, 972, 616, 1932, 1082, 1004, 454, 290, 269, 519, 1919, 616, 7199, 454, 291, 269, 972, 616, 711, 1082, 1919, 454, 12585, 281, 645, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 12357, 24388, 3697, 1007, 2879, 1251, 9934, 3043, 2915, 834, 536, 834, 12357, 1007, 24388, 3697, 3043, 2879, 1251, 9934, 2915, 834, 15017, 288, 281, 536, 0, 294, 3336, 532, 2915, 281, 901, 4807, 568, 28876, 519, 2915, 547, 1118, 1864, 2973, 1586, 543, 950, 1352, 15211, 2476, 519, 2915, 695, 1389, 513, 2370, 3787, 269, 3973, 1352, 2501, 1394, 543, 1743, 625, 519, 2915, 1055, 1210, 513, 24621, 543, 1287, 1352, 9514, 1743, 625, 519, 2915, 543, 2036, 338, 621, 781, 4552, 269, 0, 299, 525, 12340, 11311, 3807, 514, 519, 6646, 585, 1792, 335, 11563, 693, 519, 13393, 1317, 3807, 514, 729, 519, 3461, 269, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 5458, 12308, 6972, 2780, 834, 536, 834, 5458, 6972, 12308, 2780, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 589 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 4489, 9708, 476, 6540, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 276, 589, 18896, 22655, 476, 275, 269, 276, 918, 326, 540, 5779, 538, 476, 273, 2395, 269, 589, 4816, 20259, 22655, 476, 274, 918, 326, 540, 5779, 1775, 476, 280, 476, 1556, 7325, 476, 1001, 277, 267, 476, 1556, 281, 4343, 454, 279, 2986, 519, 476, 736, 2818, 540, 513, 10051, 12284, 267, 476, 1704, 666, 946, 519, 5779, 24408, 1154, 2577, 328, 476, 274, 476, 2190, 2904, 476, 1001, 276, 267, 476, 1240, 281, 4375, 454, 2190, 2311, 513, 2706, 21466, 267, 3627, 6170, 476, 272, 270, 273, 540, 1010, 2724, 593, 4195, 4829, 476, 1556, 476, 6187, 4119, 476, 1001, 273, 267, 476, 4905, 281, 7871, 454, 1556, 18610, 18683, 2270, 476, 3445, 260, 676, 2597, 1247, 12015, 18683, 476, 277, 476, 2537, 8734, 476, 1001, 271, 267, 476, 5881, 281, 1321, 454, 279, 8861, 587, 509, 338, 16872, 13962, 4991, 513, 6765, 540, 4195, 16872, 1169, 1554, 267, 476, 279, 476, 4905, 4924, 476, 1001, 271, 267, 476, 866, 281, 4905, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 12861, 543, 22392, 7215, 543, 1106, 27909, 2147, 547, 25355, 10222, 1255, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 14695, 2164, 692, 289, 5802, 11762, 3436, 10789, 545, 7215, 267, 4834, 543, 1106, 27909, 3436, 12861, 543, 22392, 7215, 543, 1106, 27909, 692, 2162, 8422, 9050, 12866, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 10521, 10859, 2275, 597, 3380, 630, 26421, 540, 8953, 476, 272, 270, 273, 264, 5905, 1142, 824, 267, 543, 513, 10859, 2275, 22511, 540, 8953, 476, 272, 18953, 1312, 540, 873, 269, 4855, 519, 8953, 540, 519, 5858, 799, 18953, 782, 1614, 10859, 2275, 597, 3380, 780, 2162, 12054, 328, 30026, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1432, 568, 519, 5223, 540, 519, 1858, 540, 513, 4009, 27485, 538, 513, 12931, 22511, 547, 519, 1858, 540, 519, 4009, 27485, 538, 519, 3003, 5858, 2496, 2162, 590, 9231, 30474, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 5858, 540, 8953, 678, 18953, 1079, 5011, 540, 513, 1318, 2587, 1194, 6906, 267, 5011, 1535, 543, 586, 267, 543, 814, 922, 8998, 593, 519, 30494, 269, 2052, 596, 6961, 519, 4542, 16046, 1535, 267, 586, 543, 678, 2496, 2162, 634, 30346, 541, 540, 932, 3930, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 306, 2438, 597, 3380, 616, 6537, 593, 519, 5011, 540, 513, 13551, 269, 28171, 602, 519, 2040, 540, 519, 2127, 540, 519, 2185, 524, 637, 30105, 568, 3160, 547, 519, 1858, 540, 519, 13551, 780, 2162, 634, 19744, 4239, 6782, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 8469, 8148, 588, 517, 655, 3517, 1031, 513, 1505, 547, 4020, 12354, 30368, 1210, 14610, 543, 735, 13293, 1862, 1772, 519, 12354, 6782, 2834, 286, 19577, 5225, 780, 2162, 715, 823, 569, 5381, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2252, 519, 30494, 630, 19668, 264, 3259, 568, 476, 1911, 9492, 543, 952, 606, 3063, 1899, 10943, 1080, 519, 3490, 883, 476, 3607, 9492, 543, 476, 5038, 9492, 2694, 267, 1018, 941, 519, 2427, 13080, 585, 519, 3312, 1318, 268, 22931, 6906, 2496, 2162, 1215, 8262, 2496, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2252, 519, 5011, 540, 519, 6906, 538, 519, 6516, 616, 476, 274, 267, 476, 275, 543, 476, 276, 267, 1018, 568, 519, 1858, 540, 519, 26484, 4009, 2496, 2162, 6428, 514, 517, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1607, 3337, 13408, 2185, 10859, 2275, 597, 3380, 269, 1548, 568, 519, 2078, 1063, 519, 1858, 540, 519, 26484, 3148, 543, 519, 1858, 540, 519, 5858, 593, 9474, 607, 8006, 2496, 2162, 18903, 590, 4548, 543, 15733, 692, 7462, 6520, 476, 1556, 547, 476, 1626, 692, 1692, 547, 1628, 707, 1378, 9059, 10945, 780, 2162, 623, 732, 336, 2836, 322, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 31590, 4120, 13235, 568, 606, 31164, 6906, 609, 1614, 6252, 3515, 2469, 998, 519, 14622, 269, 12433, 519, 3259, 540, 519, 5011, 540, 519, 6906, 952, 519, 13902, 9883, 1063, 519, 6252, 269, 1547, 1547, 16317, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 13914, 540, 513, 1297, 25092, 621, 676, 476, 274, 5410, 476, 277, 6875, 2476, 707, 1376, 1297, 19147, 676, 476, 273, 6875, 2476, 707, 1297, 269, 630, 2791, 723, 8737, 609, 476, 274, 14386, 670, 8582, 11298, 2464, 24199, 20796, 298, 2496, 2162, 4208, 476, 279, 2496, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 16521, 1022, 2185, 15654, 1256, 2338, 269, 25092, 519, 1079, 1647, 2338, 1927, 269, 25092, 519, 1101, 543, 2063, 2338, 269, 3767, 10208, 707, 2034, 2626, 689, 519, 1101, 269, 8347, 621, 609, 707, 1378, 269, 1547, 1547, 16317, 2162, 6153, 4518, 1403, 1411, 2052, 5192, 898, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 2816, 2115, 1614, 2367, 855, 538, 1249, 3670, 1004, 798, 621, 269, 1879, 621, 568, 8737, 789, 616, 782, 6976, 519, 1482, 269, 1215, 1454, 729, 6976, 538, 2698, 267, 543, 1454, 1281, 1142, 812, 1205, 952, 519, 2724, 568, 3838, 607, 12049, 5267, 2496, 2162, 1772, 621, 18903, 610, 1772, 621, 13174, 2496, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2080, 616, 1614, 1412, 339, 9581, 262, 547, 993, 10270, 707, 2828, 269, 1809, 519, 2731, 15931, 8945, 568, 7713, 547, 873, 1946, 891, 1412, 339, 9581, 262, 616, 13004, 711, 9059, 269, 6145, 782, 1434, 4012, 5974, 267, 596, 1058, 2259, 676, 3843, 269, 1547, 1547, 16317, 2162, 32309, 25285, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 8620, 930, 5546, 676, 9256, 1079, 610, 811, 25965, 269, 1548, 666, 596, 2161, 827, 519, 2127, 543, 829, 12281, 540, 519, 5546, 596, 666, 1118, 2496, 2162, 9315, 570, 4459, 476, 272, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 4692, 596, 2491, 875, 713, 3556, 8945, 1568, 2496, 2162, 19456, 23768, 19577, 338, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 1118, 2631, 540, 891, 1614, 15997, 540, 19456, 23768, 262, 14497, 2496, 2162, 24897, 1744, 582, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 1847, 762, 5496, 15942, 2059, 513, 8272, 549, 1042, 23725, 528, 2509, 513, 31344, 958, 5116, 1769, 2707, 269, 589, 18422, 540, 1769, 689, 602, 2707, 568, 9859, 2509, 513, 3774, 540, 519, 23725, 528, 267, 799, 621, 16716, 693, 476, 3393, 5232, 269, 1547, 1547, 16317, 2162, 6056, 540, 5565, 10606, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 13914, 540, 1079, 2898, 2338, 896, 476, 1015, 267, 543, 1246, 519, 3268, 269, 594, 666, 960, 856, 1312, 707, 2338, 1360, 3533, 269, 1215, 2496, 2162, 11408, 519, 23893, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 6635, 9792, 519, 2338, 476, 272, 547, 476, 1626, 883, 513, 476, 275, 676, 476, 275, 5044, 269, 7994, 513, 1297, 269, 9061, 856, 519, 2338, 593, 519, 1482, 4737, 543, 6241, 269, 19244, 713, 1184, 269, 5410, 909, 596, 2185, 2338, 269, 4208, 798, 789, 2141, 1039, 909, 547, 476, 4097, 2496, 7462, 6520, 476, 278, 547, 476, 1691, 7420, 5426, 1384, 13914, 540, 513, 1297, 543, 1246, 519, 3684, 781, 5528, 1862, 594, 917, 1018, 707, 1297, 568, 256, 2052, 596, 2491, 875, 594, 917, 2496, 2162, 30776, 24234, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 8340, 519, 7508, 5086, 1063, 519, 1079, 3813, 1218, 547, 519, 5858, 950, 519, 1079, 7285, 693, 519, 8998, 5705, 2105, 676, 519, 9095, 338, 2813, 676, 519, 28963, 540, 519, 3813, 1218, 543, 519, 5858, 616, 476, 2004, 543, 476, 6344, 5232, 780, 2162, 2859, 19556, 27405, 625, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2237, 1524, 513, 1614, 18251, 1297, 7827, 519, 1931, 540, 519, 9704, 547, 1205, 513, 1114, 1297, 4855, 519, 3017, 1063, 519, 1079, 1614, 7857, 2338, 7427, 519, 1964, 540, 519, 5528, 1287, 2119, 269, 1547, 1547, 16317, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 2370, 3787, 540, 7223, 6941, 713, 1412, 332, 20723, 8339, 9105, 513, 3659, 547, 4584, 476, 274, 15654, 2338, 543, 547, 2995, 596, 513, 2789, 540, 476, 274, 269, 3973, 2307, 873, 547, 1039, 519, 2185, 2338, 543, 9062, 676, 476, 6858, 267, 543, 547, 2995, 596, 269, 1547, 1547, 16317, 2162, 9198, 908, 10222, 1255, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 306, 1115, 540, 9981, 899, 476, 274, 267, 476, 275, 267, 476, 276, 616, 1572, 25355, 10222, 1255, 267, 1317, 789, 1223, 581, 519, 13080, 540, 519, 5011, 540, 513, 1318, 268, 22931, 6906, 269, 2052, 596, 1265, 1022, 811, 2496, 2162, 8285, 932, 4377, 919, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 1692, 1223, 623, 10154, 267, 8751, 543, 15623, 960, 856, 875, 1082, 669, 4377, 919, 972, 616, 538, 1114, 21092, 10833, 2496, 2162, 18599, 8293, 4100, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 19400, 891, 7044, 547, 1294, 875, 1912, 4141, 2041, 267, 7705, 543, 19279, 8359, 547, 2721, 476, 278, 10945, 269, 1215, 1131, 789, 2721, 476, 1911, 2496, 2162, 10699, 525, 10738, 10699, 525, 4860, 529, 1243, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 5331, 4358, 609, 835, 5835, 13306, 543, 8720, 621, 782, 936, 609, 513, 2582, 4494, 540, 2699, 18695, 267, 543, 1287, 8720, 602, 13306, 609, 513, 4494, 540, 4544, 18695, 269, 1215, 1082, 2699, 543, 4544, 18695, 1131, 596, 991, 2496, 2162, 8065, 3118, 645, 7451, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 1432, 616, 519, 2009, 7516, 540, 513, 14328, 10689, 3118, 952, 519, 1297, 540, 17981, 1472, 519, 15943, 568, 4010, 3368, 519, 2698, 1297, 540, 17981, 2496, 2162, 5681, 2719, 1230, 5913, 5737, 10606, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 1428, 815, 476, 278, 1341, 476, 279, 543, 476, 1015, 815, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 269, 2052, 596, 2161, 799, 2338, 666, 581, 6829, 607, 519, 2040, 540, 1079, 610, 811, 15654, 9981, 2496, 2162, 17316, 338, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 763, 1134, 1634, 25828, 5311, 568, 476, 272, 2073, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 2807, 1215, 1082, 25828, 9696, 666, 596, 1265, 5627, 519, 1297, 476, 3422, 607, 835, 540, 519, 2474, 2496, 2162, 2052, 1358, 2142, 26321, 2496, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 4692, 596, 1265, 25965, 1141, 519, 1871, 540, 519, 1858, 568, 519, 1482, 607, 519, 1871, 540, 519, 15943, 2496, 2162, 10222, 9201, 10738, 19999, 30368, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 17004, 602, 782, 20008, 21192, 2338, 616, 835, 3791, 540, 513, 21083, 1297, 780, 2162, 10222, 9201, 10738, 8293, 4100, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 1265, 513, 4341, 799, 12211, 21083, 2338, 547, 4009, 2338, 2496, 2162, 10222, 9201, 10738, 10222, 9201, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 1265, 513, 4341, 799, 13462, 15654, 21083, 2338, 2496, 2162, 1703, 543, 7982, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 289, 6929, 7669, 338, 693, 7466, 519, 3432, 602, 513, 5757, 568, 13576, 267, 19654, 689, 835, 4779, 1819, 10935, 547, 1776, 543, 1394, 1586, 267, 2921, 476, 1321, 3764, 15587, 269, 1215, 1279, 1131, 621, 723, 3144, 1864, 538, 1869, 1216, 2496, 2162, 13082, 595, 1963, 692, 7462, 6520, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 5278, 1053, 723, 1044, 2324, 856, 519, 1297, 540, 22204, 2877, 585, 1114, 7306, 540, 10814, 269, 2052, 596, 1118, 2631, 540, 741, 3435, 2496, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 13914, 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 ]
[ 553, 15255, 1303, 2784, 553, 705, 26953, 632, 513, 1556, 28075, 783, 513, 692, 1356, 334, 267, 2301, 32115, 630, 292, 330, 910, 544, 330, 272, 661, 272, 3738, 9847, 630, 292, 330, 1070, 16948, 737, 284, 476, 273, 267, 24222, 333, 267, 598, 544, 330, 272, 815, 513, 330, 272, 21669, 1556, 780, 1892, 513, 1556, 1965, 1714, 3693, 334, 9187, 1774, 780, 263, 7906, 2020, 327, 29716, 693, 337, 27222, 692, 1892, 10016, 6759, 978, 848, 6446, 513, 2420, 9881, 510, 476, 271, 2073, 16948, 737, 284, 476, 274, 267, 24222, 333, 267, 598, 544, 330, 273, 815, 513, 330, 273, 21669, 2420, 269, 589, 1817, 320, 513, 2420, 1965, 1714, 692, 324, 2211, 334, 9187, 1774, 780, 263, 7367, 2020, 327, 29716, 693, 337, 27222, 692, 1892, 10016, 6759, 978, 848, 6446, 513, 2420, 9881, 510, 476, 271, 2073, 16948, 737, 284, 476, 274, 267, 24222, 333, 267, 598, 544, 330, 273, 815, 513, 330, 273, 21669, 2420, 269, 589, 1817, 320, 513, 2420, 1965, 1714, 692, 324, 2211, 334, 9187, 1774, 780, 263, 7871, 2020, 306, 755, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 692, 1892, 1763, 565, 12858, 754, 334, 3288, 562, 268, 15530, 9874, 3235, 340, 24265, 1384, 1892, 1763, 565, 12858, 754, 334, 3288, 630, 333, 268, 272, 9984, 15530, 9874, 3235, 340, 24265, 692, 1892, 586, 679, 2489, 692, 263, 7918, 2020, 306, 755, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 692, 1892, 1763, 565, 12858, 754, 334, 3288, 562, 268, 15530, 9874, 3235, 340, 24265, 1384, 263, 4649, 2020, 306, 755, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 692, 1892, 1763, 565, 12858, 754, 334, 3288, 562, 268, 15530, 9874, 3235, 340, 24265, 1384, 1892, 1763, 565, 12858, 754, 334, 3288, 630, 333, 268, 272, 9984, 15530, 9874, 3235, 340, 24265, 692, 1892, 586, 679, 2489, 692, 263, 6321, 2020, 306, 755, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 692, 1892, 1763, 565, 12858, 754, 334, 3288, 562, 268, 15530, 9874, 3235, 340, 24265, 1384, 263, 6872, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 263, 6812, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 263, 6795, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 263, 2568, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 263, 8618, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 1892, 5154, 514, 18372, 16948, 1714, 9187, 1774, 513, 1556, 2485, 379, 2496, 263, 7830, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 263, 8287, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 1892, 5154, 514, 18372, 16948, 1714, 9187, 1774, 513, 1556, 2485, 379, 2496, 3682, 1076, 2742, 692, 263, 5038, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 4432, 544, 18863, 29081, 18751, 2887, 320, 23313, 3473, 10044, 513, 4512, 815, 476, 271, 16948, 1775, 283, 333, 267, 522, 536, 1329, 23313, 3045, 1965, 524, 3266, 1100, 694, 692, 335, 4240, 324, 554, 27468, 2771, 15856, 857, 11252, 554, 29716, 693, 337, 27222, 269, 6480, 334, 1100, 1542, 320, 683, 806, 926, 3512, 324, 6446, 1714, 521, 626, 9047, 1100, 512, 1263, 320, 1151, 18676, 11252, 1384, 263, 4792, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 9980, 517, 806, 4557, 655, 657, 692, 263, 5780, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 9980, 517, 806, 4557, 655, 657, 692, 263, 6858, 2020, 327, 29716, 693, 337, 27222, 267, 1110, 881, 30685, 525, 692, 1892, 9980, 517, 806, 4557, 655, 657, 692, 263, 6924, 2020, 263, 7597, 2020, 263, 3583, 2020, 263, 10170, 2020, 263, 7761, 2020, 16210, 11391, 334, 6446, 547, 2742, 692, 1892, 2485, 379, 4302, 3921, 523, 632, 1264, 329, 21059, 512, 1329, 324, 1609, 324, 3473, 528, 527, 15879, 2496, 1892, 15917, 6446, 733, 541, 1714, 1948, 632, 3818, 2364, 30685, 525, 586, 6498, 525, 267, 16948, 796, 521, 626, 9047, 632, 3235, 340, 30685, 525, 632, 562, 1535, 562, 692, 263, 10463, 994, 263, 10619, 2020, 263, 4037, 2020, 263, 10602, 2020, 16210, 11391, 334, 6446, 547, 2742, 692, 1892, 2485, 379, 4302, 3921, 523, 632, 1264, 329, 21059, 512, 1329, 324, 1609, 324, 3473, 528, 527, 15879, 2496, 1892, 15917, 6446, 733, 541, 1714, 1948, 632, 3818, 2364, 30685, 525, 586, 6498, 525, 267, 16948, 796, 521, 626, 9047, 632, 3235, 340, 30685, 525, 632, 562, 1535, 562, 692, 1892, 3818, 2364, 30685, 525, 7933, 643, 1707, 525, 744, 3799, 274, 2020, 8002, 783, 714, 24265, 1862, 0, 258, 589, 5569, 6378, 693, 1312, 7475, 568, 476, 279, 269, 10170, 544, 1279, 543, 814, 513, 2527, 540, 476, 271, 269, 15686, 4846, 269, 898, 568, 16271, 547, 513, 8082, 540, 476, 10844, 269, 271, 715, 543, 1305, 14251, 908, 269, 630, 320, 264, 1548, 568, 519, 3432, 540, 519, 6329, 593, 519, 5569, 2496, 6321, 267, 27768, 2164, 454, 272, 269, 12361, 8212, 692, 288, 5569, 6378, 693, 1312, 7475, 568, 476, 279, 269, 10170, 544, 1279, 543, 814, 513, 2527, 540, 476, 271, 269, 15686, 4846, 269, 898, 568, 16271, 547, 513, 8082, 540, 476, 10844, 269, 271, 715, 543, 1305, 14251, 908, 269, 630, 320, 264, 1548, 568, 519, 3432, 540, 519, 6329, 593, 519, 5569, 286, 630, 321, 264, 1548, 568, 519, 13074, 2009, 15423, 585, 513, 7555, 5951, 286, 630, 322, 264, 12315, 454, 273, 269, 12361, 8212, 692, 288, 5569, 6378, 693, 1312, 7475, 568, 476, 279, 269, 10170, 544, 1279, 543, 814, 513, 2527, 540, 476, 271, 269, 15686, 4846, 269, 898, 568, 16271, 547, 513, 8082, 540, 476, 10844, 269, 271, 715, 543, 1305, 14251, 908, 269, 630, 320, 264, 1548, 568, 519, 3432, 540, 519, 6329, 593, 519, 5569, 286, 630, 321, 264, 1548, 568, 519, 13074, 2009, 15423, 585, 513, 7555, 5951, 286, 630, 322, 264, 12315, 454, 274, 269, 12361, 6323, 692, 288, 476, 273, 269, 5392, 2173, 17489, 5569, 267, 6378, 693, 1312, 7475, 267, 814, 513, 2527, 540, 476, 278, 269, 1704, 575, 269, 1403, 596, 1616, 547, 1305, 909, 513, 7555, 5951, 538, 713, 5569, 2348, 513, 4908, 540, 476, 3393, 276, 21636, 543, 476, 276, 1884, 514, 3941, 267, 1018, 8082, 1058, 596, 2322, 519, 5569, 896, 888, 275, 269, 12361, 8212, 692, 288, 476, 272, 269, 271, 544, 1279, 5569, 568, 6378, 693, 1312, 7475, 543, 814, 513, 8082, 540, 476, 3199, 301, 269, 634, 2527, 540, 519, 5569, 568, 476, 273, 575, 332, 269, 4855, 519, 3791, 23191, 540, 519, 3280, 19501, 676, 713, 5569, 269, 513, 269, 476, 2004, 21636, 536, 269, 476, 1911, 21636, 524, 269, 476, 1220, 13703, 546, 269, 476, 4968, 21636, 454, 276, 269, 12361, 8212, 692, 288, 476, 276, 2173, 17489, 5569, 267, 6378, 693, 1312, 7475, 267, 814, 513, 2527, 540, 476, 280, 575, 269, 1403, 596, 1616, 547, 1305, 909, 513, 7555, 5951, 538, 713, 5569, 2348, 513, 4908, 540, 476, 29218, 21636, 543, 1614, 1884, 514, 3941, 267, 1018, 8082, 1058, 596, 2322, 519, 5569, 896, 286, 594, 3893, 476, 271, 269, 27947, 11899, 5416, 7176, 275, 269, 6924, 332, 4882, 8203, 273, 270, 276, 284, 3583, 280, 271, 715, 621, 1869, 454, 277, 269, 12361, 8212, 692, 288, 476, 272, 269, 277, 2173, 17489, 5569, 6378, 693, 1312, 7475, 5854, 919, 693, 22298, 12451, 540, 476, 8064, 273, 21636, 543, 476, 31275, 21636, 267, 609, 1100, 824, 22298, 4908, 1063, 891, 2418, 269, 630, 320, 264, 1548, 568, 519, 4909, 4908, 540, 713, 5569, 286, 630, 321, 264, 1879, 519, 8082, 538, 519, 5569, 568, 476, 14138, 276, 715, 267, 1018, 568, 454, 278, 269, 12361, 6323, 692, 288, 476, 272, 269, 277, 2173, 17489, 5569, 6378, 693, 1312, 7475, 5854, 919, 693, 22298, 12451, 540, 476, 8064, 273, 21636, 543, 476, 31275, 21636, 267, 609, 1100, 824, 22298, 4908, 1063, 891, 2418, 269, 630, 320, 264, 1548, 568, 519, 4909, 4908, 540, 713, 5569, 286, 630, 321, 264, 1879, 519, 8082, 538, 519, 5569, 568, 476, 14138, 276, 715, 267, 1018, 568, 454, 279, 269, 12361, 8212, 692, 288, 5569, 6378, 693, 1312, 7475, 568, 476, 280, 269, 4029, 544, 1279, 543, 814, 513, 2527, 540, 476, 271, 269, 10219, 4846, 269, 898, 568, 16271, 547, 513, 8082, 540, 476, 1911, 269, 271, 715, 543, 1305, 14251, 908, 269, 630, 320, 264, 1548, 568, 519, 3432, 540, 519, 6329, 593, 519, 5569, 286, 544, 4882, 630, 321, 264, 1548, 568, 519, 13074, 2009, 15423, 585, 513, 7555, 5951, 286, 544, 630, 322, 994, 280, 269, 12361, 6323, 692, 17746, 1192, 513, 476, 276, 628, 7154, 7555, 5951, 593, 513, 5569, 602, 814, 606, 7164, 2527, 16304, 689, 835, 1439, 269, 634, 3845, 1063, 6378, 7475, 540, 519, 5569, 568, 476, 271, 269, 280, 7397, 269, 1403, 519, 5951, 3432, 593, 519, 476, 272, 269, 274, 11281, 5569, 568, 476, 21327, 7397, 829, 7643, 543, 519, 5569, 814, 513, 2527, 540, 476, 274, 454, 1015, 269, 12361, 8212, 692, 763, 4909, 4908, 540, 513, 5569, 6378, 693, 1312, 7475, 568, 476, 23283, 21636, 269, 1215, 1279, 1281, 621, 1491, 585, 513, 5951, 547, 2951, 519, 3259, 540, 713, 5569, 888, 1556, 269, 12361, 6673, 8212, 692, 763, 4909, 4908, 540, 513, 5569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 513, 2016, 1062, 267, 543, 666, 581, 1031, 607, 513, 4493, 585, 18445, 1978, 5376, 916, 593, 1939, 1464, 563, 4467, 1584, 1464, 3069, 849, 2488, 2409, 585, 14335, 6620, 602, 4194, 1978, 2042, 538, 519, 1034, 3608, 1259, 267, 971, 607, 519, 12928, 3578, 5174, 21043, 5690, 267, 519, 4460, 990, 23990, 267, 543, 519, 681, 11597, 4149, 5069, 597, 268, 3849, 548, 2006, 5690, 269, 1452, 6620, 616, 4122, 1031, 547, 4194, 2042, 538, 25563, 543, 5276, 5752, 563, 1103, 1840, 547, 922, 7811, 3156, 267, 1939, 1464, 3069, 814, 1185, 513, 2101, 1764, 593, 519, 1646, 540, 519, 2413, 2780, 267, 607, 1134, 607, 824, 2127, 540, 4702, 543, 2257, 269, 898, 568, 1031, 538, 519, 1374, 540, 2780, 1949, 267, 607, 1134, 607, 538, 519, 1646, 540, 5841, 4987, 543, 3684, 1565, 1949, 269, 898, 568, 849, 1031, 538, 22697, 685, 15997, 540, 5376, 916, 267, 543, 538, 3384, 5752, 4654, 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 ]
[ 9456, 19114, 540, 519, 962, 559, 3258, 333, 595, 7806, 517, 563, 3528, 3220, 853, 1030, 534, 15434, 1067, 16103, 21433, 676, 3220, 853, 1030, 534, 15434, 1067, 3807, 607, 519, 3463, 540, 9808, 9535, 8604, 547, 973, 27827, 538, 519, 10127, 5622, 267, 519, 8594, 540, 20879, 5599, 814, 818, 17470, 2443, 543, 621, 568, 1256, 811, 31029, 543, 811, 2693, 982, 32549, 3154, 10868, 563, 291, 787, 1591, 6007, 22809, 30932, 949, 2270, 536, 1143, 3578, 269, 28199, 267, 834, 5629, 16270, 513, 17719, 281, 769, 4864, 289, 27426, 9291, 527, 517, 9307, 476, 866, 602, 621, 1131, 8488, 519, 16727, 12456, 28841, 1788, 543, 8495, 606, 4244, 267, 1447, 3854, 25673, 1374, 540, 519, 1930, 1790, 527, 7269, 5473, 1007, 4066, 267, 799, 1131, 15186, 2087, 519, 9297, 540, 519, 1788, 563, 21132, 9525, 538, 21601, 28992, 568, 827, 547, 1118, 713, 2197, 519, 3791, 7887, 20879, 16073, 5001, 267, 3592, 14311, 538, 4457, 3946, 563, 4462, 2254, 5367, 267, 519, 7361, 7164, 3162, 3979, 2754, 700, 4157, 13453, 3623, 1836, 19017, 930, 25614, 540, 20879, 3408, 598, 947, 687, 538, 519, 1614, 10127, 5622, 16899, 540, 8832, 15729, 267, 5375, 15729, 543, 8109, 15729, 269, 769, 5437, 1492, 5245, 7304, 11701, 17437, 29046, 15716, 3357, 883, 3196, 267, 3850, 8241, 20879, 547, 581, 1031, 538, 6739, 19742, 6046, 6703, 563, 4322, 2766, 902, 10460, 3978, 2825, 543, 1072, 4220, 538, 519, 1106, 540, 681, 9646, 12998, 267, 2842, 321, 31500, 7452, 29371, 543, 30450, 540, 17694, 1519, 5230, 8407, 543, 28227, 883, 519, 1216, 563, 4462, 542, 2961, 321, 728, 729, 519, 4745, 14679, 7649, 593, 519, 1788, 609, 3057, 1467, 2394, 2038, 950, 621, 12628, 922, 4781, 593, 519, 3959, 1813, 547, 19394, 20879, 5777, 563, 1103, 519, 2250, 930, 21491, 770, 525, 8659, 588, 2335, 748, 21973, 267, 513, 19729, 21973, 2707, 585, 14304, 5694, 19596, 269, 9182, 267, 20879, 5599, 2164, 538, 834, 1492, 796, 28300, 762, 14599, 12526, 540, 519, 1604, 676, 4396, 267, 5277, 543, 31529, 22837, 8487, 7804, 3739, 543, 10380, 540, 1134, 26753, 4797, 609, 2185, 1134, 1922, 3658, 538, 5106, 676, 519, 1439, 540, 24488, 267, 12498, 543, 18325, 5434, 2049, 1282, 713, 9178, 1184, 563, 300, 1301, 7974, 814, 4080, 476, 1556, 769, 31084, 12754, 585, 519, 590, 3530, 1258, 16005, 607, 1373, 19726, 540, 8659, 772, 274, 302, 279, 269, 14086, 20879, 7626, 538, 519, 10127, 5622, 786, 23223, 2406, 1711, 5458, 726, 6979, 540, 13572, 7452, 269, 769, 2487, 1296, 267, 1360, 1164, 11811, 3361, 14700, 540, 519, 8486, 543, 21463, 547, 9553, 2504, 563, 7197, 5010, 946, 540, 20879, 568, 585, 6046, 4492, 267, 855, 621, 949, 581, 1459, 538, 23907, 610, 11954, 4837, 267, 2523, 3504, 610, 25447, 267, 5835, 23469, 4837, 269, 2037, 878, 1117, 20879, 3335, 814, 513, 20879, 5834, 540, 1063, 476, 274, 543, 476, 276, 2600, 269, 4438, 543, 30161, 2610, 17656, 267, 6268, 540, 2200, 543, 12669, 17790, 13753, 4797, 693, 1082, 540, 891, 12074, 563, 763, 2278, 14828, 10479, 547, 5299, 267, 15814, 543, 4159, 713, 960, 538, 796, 5306, 1229, 1106, 267, 609, 5316, 1081, 547, 519, 2278, 267, 585, 1875, 1260, 14293, 5301, 1152, 563, 19853, 4681, 941, 4843, 547, 519, 21621, 2229, 593, 11016, 5147, 476, 1704, 12784, 269, 7358, 730, 676, 8776, 334, 6052, 17290, 267, 519, 1788, 13408, 1079, 13719, 1447, 982, 5216, 15432, 2620, 1608, 4740, 3620, 739, 539, 12074, 267, 8235, 10158, 543, 2578, 21317, 324, 267, 799, 616, 476, 1428, 5998, 5045, 543, 476, 1789, 5998, 5045, 540, 12070, 10044, 6606, 563, 763, 1715, 28800, 1756, 14086, 4425, 558, 281, 31056, 20879, 7777, 5314, 729, 12969, 539, 538, 1519, 281, 5221, 540, 713, 1950, 1686, 267, 519, 2104, 540, 6046, 1648, 568, 2352, 547, 3589, 543, 786, 4096, 593, 5007, 2188, 1519, 519, 5777, 540, 8093, 10173, 267, 2825, 543, 2916, 9270, 543, 1648, 3609, 563, 1103, 1249, 267, 519, 1158, 781, 4102, 2582, 20879, 16005, 568, 4092, 693, 519, 16727, 12456, 17719, 538, 3162, 5245, 269, 26597, 16917, 8344, 2090, 540, 19379, 543, 21932, 5941, 2630, 723, 7074, 8801, 17669, 2360, 2404, 609, 20879, 23927, 689, 32480, 269, 589, 4552, 3693, 2079, 666, 581, 1031, 547, 30599, 4011, 622, 17646, 4430, 563, 305, 12505, 17312, 10365, 6394, 538, 918, 752, 611, 340, 607, 851, 540, 519, 2144, 1170, 1668, 6255, 27462, 1788, 17421, 281, 1717, 267, 19162, 601, 28810, 31731, 3278, 519, 4761, 1062, 4929, 5409, 718, 1120, 21329, 6114, 547, 1082, 1114, 6878, 563, 763, 1353, 568, 4397, 547, 1491, 827, 476, 1240, 3275, 547, 2347, 269, 5753, 945, 1404, 593, 3889, 610, 824, 5701, 7252, 4584, 909, 1488, 11420, 545, 593, 741, 3946, 543, 2663, 593, 3824, 652, 621, 950, 789, 2322, 741, 3946, 538, 741, 5023, 267, 6299, 741, 4064, 610, 3548, 563, 2026, 519, 774, 1005, 1014, 2766, 902, 12074, 616, 4092, 538, 519, 4099, 540, 606, 1858, 540, 13091, 1981, 538, 519, 5449, 717, 11403, 267, 789, 7985, 513, 1981, 540, 2481, 5821, 563, 1103, 1034, 2665, 267, 789, 941, 1500, 689, 11159, 566, 540, 519, 21432, 6824, 540, 519, 2766, 902, 22376, 613, 269, 10765, 2090, 5815, 1164, 2157, 540, 4165, 574, 3415, 538, 1352, 10134, 7219, 28945, 3812, 538, 1715, 10215, 563, 10048, 21908, 15278, 17290, 4797, 17656, 693, 922, 623, 517, 2023, 1788, 5998, 22583, 540, 17833, 2998, 528, 12340, 543, 476, 2412, 5998, 22236, 540, 25109, 8615, 9412, 269, 22078, 5308, 295, 769, 15595, 566, 540, 2234, 517, 3154, 3361, 8325, 4679, 538, 5761, 11871, 1851, 11895, 20879, 19379, 6964, 538, 519, 521, 543, 521, 563, 2704, 29837, 610, 1325, 568, 1360, 7123, 26947, 543, 711, 6915, 19989, 269, 634, 7274, 543, 3892, 540, 20024, 2234, 517, 9178, 2472, 568, 6766, 676, 6127, 602, 4894, 519, 2234, 517, 9178, 2472, 689, 519, 5761, 610, 1847, 873, 547, 824, 2127, 540, 519, 5761, 543, 1560, 715, 13612, 14720, 6902, 589, 4811, 11403, 267, 3752, 12657, 645, 10740, 7135, 616, 3810, 6757, 543, 949, 581, 1031, 607, 5521, 15969, 16638, 1034, 24947, 519, 2825, 3344, 540, 513, 20879, 9553, 616, 519, 1482, 607, 1346, 540, 824, 12669, 26448, 5599, 563, 7197, 20879, 15183, 538, 5245, 543, 4516, 723, 18869, 13995, 269, 15571, 13808, 2404, 609, 519, 20879, 7626, 3340, 930, 2027, 2359, 538, 1840, 547, 519, 2489, 269, 11137, 563, 4462, 29970, 5599, 814, 519, 1761, 547, 5305, 5739, 6878, 883, 519, 3037, 267, 2011, 267, 543, 1216, 269, 17030, 23083, 602, 6608, 17997, 6042, 593, 3549, 543, 946, 5969, 12967, 2029, 547, 2569, 519, 3441, 689, 5599, 563, 308, 3757, 1756, 568, 513, 3114, 3693, 609, 3090, 772, 543, 10570, 1297, 898, 568, 513, 3623, 854, 3766, 9445, 4496, 538, 519, 957, 514, 728, 3126, 540, 519, 13350, 3349, 6993, 20879, 11046, 814, 476, 10844, 22571, 543, 476, 10844, 9211, 267, 540, 799, 476, 277, 616, 32447, 10027, 328, 3192, 2593, 332, 568, 4617, 569, 14599, 1317, 782, 24745, 540, 20879, 616, 18633, 267, 609, 3368, 2000, 1161, 8795, 1063, 344, 8986, 543, 5479, 1296, 563, 307, 1010, 3184, 6799, 513, 4901, 540, 5222, 540, 20879, 5599, 543, 4393, 4238, 593, 2011, 2298, 267, 3037, 267, 2627, 1216, 543, 15780, 267, 543, 1979, 7974, 269, 13518, 568, 2907, 1634, 827, 519, 2825, 5222, 540, 5599, 267, 1312, 593, 21935, 543, 1055, 21935, 267, 543, 602, 1560, 540, 1344, 2488, 513, 4493, 585, 713, 3184, 563, 763, 2825, 2360, 540, 20879, 5599, 2611, 513, 11786, 6158, 1448, 269, 29114, 902, 267, 799, 616, 31629, 4773, 540, 7626, 543, 676, 335, 20094, 689, 14200, 267, 666, 2270, 2234, 517, 267, 2234, 1756, 267, 5247, 1756, 267, 1135, 28016, 543, 3006, 28227, 563, 22025, 1113, 5274, 2657, 12186, 540, 28800, 1756, 14086, 267, 14409, 267, 543, 1234, 17474, 910, 28800, 1756, 14086, 538, 9098, 281, 11660, 267, 14502, 267, 7025, 267, 5274, 2657, 543, 8881, 267, 543, 27943, 31834, 540, 28800, 1756, 14086, 543, 14409, 538, 9098, 6185, 5877, 0, 763, 32663, 268, 4353, 568, 519, 26616, 543, 18926, 15015, 540, 10076, 2657, 15136, 267, 3370, 676, 519, 1977, 5369, 12278, 5948, 269, 898, 2488, 513, 11455, 1935, 547, 2790, 1072, 676, 11008, 2358, 4713, 883, 2947, 17887, 267, 602, 1683, 513, 3376, 2039, 540, 1344, 827, 519, 1367, 779, 8647, 267, 630, 306, 826, 267, 30733, 4149, 826, 267, 590, 826, 1299, 590, 826, 267, 476, 1001, 273, 1040, 769, 23243, 9402, 689, 3339, 267, 519, 7180, 1590, 581, 24802, 1713, 543, 2404, 609, 14021, 11605, 267, 15717, 267, 1514, 14524, 610, 2799, 2123, 610, 1857, 1981, 267, 2705, 621, 1590, 581, 20775, 547, 16236, 3361, 676, 2487, 2123, 2530, 267, 630, 275, 628, 1196, 1421, 1257, 2847, 5919, 32663, 1700, 4353, 1700, 15045, 282, 1977, 5369, 12278, 5948, 267, 476, 1220, 271, 282, 4591, 339, 1696, 620, 267, 476, 1001, 273, 1916, 8967, 12688, 543, 654, 573, 9528, 630, 1960, 280, 264, 8947, 922, 1198, 593, 519, 14496, 540, 519, 10368, 7355, 543, 1336, 602, 950, 4294, 547, 11683, 12870, 267, 621, 729, 32118, 1317, 1034, 540, 519, 2589, 2404, 609, 621, 941, 2907, 4929, 1713, 11605, 269, 898, 849, 2799, 7301, 2258, 2510, 676, 27195, 1004, 689, 5868, 945, 723, 2947, 540, 519, 8370, 4397, 2589, 267, 855, 616, 711, 3648, 1253, 5962, 610, 1909, 27780, 8529, 269, 7053, 4352, 621, 17515, 7301, 1064, 14476, 267, 3274, 14577, 519, 10835, 7355, 1223, 723, 6913, 713, 1482, 1267, 563, 295, 517, 657, 268, 2171, 6277, 543, 2274, 527, 1676, 779, 630, 1220, 272, 264, 2013, 1353, 540, 19378, 267, 945, 729, 8995, 609, 1896, 4713, 14550, 519, 1761, 585, 513, 32663, 268, 4353, 5868, 547, 24395, 622, 519, 2589, 543, 6051, 540, 2043, 269, 4340, 547, 519, 1582, 268, 995, 325, 3739, 28897, 267, 2043, 945, 616, 31002, 267, 538, 713, 2013, 607, 15508, 2192, 610, 21173, 267, 5555, 1831, 891, 1919, 269, 19378, 3459, 547, 3494, 602, 1010, 11994, 827, 875, 646, 729, 4743, 941, 13061, 1317, 3025, 2219, 646, 729, 21173, 269, 901, 7409, 1243, 1010, 14317, 538, 3797, 607, 646, 5156, 972, 729, 4986, 646, 1223, 798, 547, 1689, 563, 2005, 568, 10423, 1946, 519, 32663, 268, 4353, 568, 5219, 547, 607, 519, 7108, 9208, 540, 4791, 5868, 269, 6736, 922, 7293, 20924, 543, 519, 2942, 2360, 540, 10368, 10297, 267, 621, 3788, 513, 11684, 3561, 799, 1862, 0, 9617, 519, 19594, 3026, 947, 885, 5336, 599, 1299, 4873, 11242, 454, 2171, 616, 1055, 547, 519, 23291, 2483, 2171, 616, 1565, 827, 782, 540, 519, 1585, 2831, 269, 769, 1362, 649, 5941, 1142, 3662, 543, 741, 9002, 262, 4408, 269, 4438, 938, 3350, 5751, 649, 8268, 513, 27642, 1404, 2534, 607, 952, 649, 2965, 3576, 513, 23291, 7552, 269, 1284, 6410, 543, 21401, 899, 2831, 649, 1131, 1294, 593, 513, 3643, 269, 1284, 1256, 5249, 593, 10203, 782, 540, 519, 2831, 649, 4718, 538, 938, 1650, 942, 1433, 269, 1284, 4121, 782, 827, 912, 305, 15219, 6193, 20309, 281, 15531, 543, 3695, 1585, 18819, 609, 1688, 4371, 695, 5474, 454, 3725, 701, 908, 519, 3752, 10623, 613, 630, 2710, 268, 3725, 5336, 324, 2567, 17006, 519, 4161, 540, 13465, 547, 834, 17442, 4840, 10870, 867, 1588, 281, 18509, 3215, 5322, 538, 942, 609, 2575, 454, 4942, 9582, 281, 10289, 519, 9904, 998, 513, 5152, 782, 827, 2831, 454, 13425, 4934, 281, 634, 1715, 14576, 1572, 281, 10960, 22843, 267, 3776, 9452, 5384, 3883, 281, 9741, 32020, 8759, 267, 1299, 519, 674, 3881, 674, 5424, 28523, 1115, 281, 13259, 1195, 12292, 269, 2353, 585, 6718, 547, 946, 1310, 2575, 1362, 610, 20471, 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 ]
[ 5459, 540, 513, 14558, 328, 1070, 15887, 6798, 1990, 1228, 327, 630, 9799, 540, 513, 14558, 328, 1070, 543, 962, 27895, 12874, 13248, 630, 5459, 540, 15243, 1916, 338, 1248, 1868, 2968, 30225, 328, 267, 700, 6072, 2465, 267, 30225, 328, 2098, 1228, 327, 267, 700, 6072, 2465, 1014, 267, 918, 2129, 534, 267, 918, 2129, 534, 13248, 630, 5459, 540, 513, 25391, 1156, 1070, 3092, 563, 6624, 7642, 6964, 519, 15349, 21879, 910, 14024, 630, 26074, 21471, 540, 264, 547, 20301, 741, 3924, 269, 6201, 540, 971, 1331, 589, 1962, 880, 600, 14024, 630, 338, 20488, 21471, 1070, 15223, 2255, 328, 630, 31296, 22673, 1070, 13669, 25764, 630, 326, 1245, 22673, 1070, 715, 26710, 516, 14024, 630, 338, 559, 591, 22673, 1070, 19966, 330, 14024, 630, 1067, 31008, 540, 23931, 10425, 1070, 12379, 14024, 630, 19817, 704, 21471, 1070, 32363, 2940, 14024, 630, 1067, 31008, 540, 19141, 1070, 3092, 563, 6624, 2413, 6014, 1147, 12849, 616, 6508, 689, 1747, 4408, 269, 1703, 616, 2489, 4408, 899, 454, 267, 543, 811, 22297, 3283, 689, 3592, 1169, 3864, 2197, 563, 30051, 814, 8329, 519, 4102, 1297, 269, 2368, 3277, 547, 1134, 8153, 4872, 607, 454, 263, 514, 519, 5664, 12698, 1975, 4275, 264, 630, 1156, 576, 1744, 777, 4275, 610, 1744, 777, 10098, 454, 267, 607, 1134, 607, 454, 6262, 325, 269, 6424, 16629, 1088, 454, 263, 15290, 576, 267, 2687, 547, 930, 8128, 267, 12090, 519, 1360, 2442, 1325, 338, 520, 1014, 454, 4067, 540, 667, 9445, 325, 639, 454, 282, 1866, 267, 547, 1447, 5432, 10034, 267, 899, 454, 25219, 1154, 993, 2549, 1067, 5408, 454, 263, 1156, 576, 7780, 1154, 1070, 670, 843, 525, 8583, 454, 269, 5600, 4191, 971, 607, 1346, 538, 519, 454, 326, 1511, 4473, 547, 519, 4408, 540, 930, 540, 519, 1655, 1634, 540, 6014, 3885, 281, 681, 16251, 18876, 454, 2891, 18872, 13104, 19823, 1520, 2401, 454, 5278, 4408, 949, 3100, 547, 581, 6508, 31567, 267, 855, 666, 849, 3277, 547, 10034, 267, 552, 3052, 1421, 21960, 333, 29231, 454, 6025, 4920, 3836, 883, 834, 8248, 691, 872, 454, 6262, 325, 269, 590, 20672, 325, 3072, 918, 2350, 21516, 454, 264, 2501, 689, 454, 529, 519, 2012, 540, 513, 26285, 826, 454, 26967, 602, 12306, 538, 519, 13814, 1354, 2469, 936, 547, 4789, 269, 634, 2012, 23583, 454, 16673, 538, 930, 2665, 581, 6508, 689, 519, 6739, 717, 16967, 7224, 454, 8117, 568, 849, 1767, 547, 723, 1044, 7550, 676, 7642, 538, 519, 6739, 7276, 538, 8956, 540, 7083, 6723, 23583, 454, 263, 11260, 272, 1700, 9692, 274, 1070, 513, 13677, 15626, 2006, 945, 10736, 547, 17194, 538, 476, 9965, 278, 538, 27257, 563, 20225, 14551, 545, 1147, 12849, 267, 607, 2907, 5018, 267, 616, 3592, 23223, 2406, 2199, 267, 607, 454, 22829, 20725, 1070, 543, 1325, 1889, 5866, 454, 263, 21545, 1872, 12956, 1040, 3509, 7969, 4408, 616, 849, 540, 713, 1362, 267, 607, 1325, 520, 3626, 454, 263, 5976, 922, 14726, 4936, 514, 454, 1070, 966, 1388, 529, 630, 5228, 454, 663, 922, 14726, 966, 10537, 267, 966, 573, 1446, 543, 966, 573, 553, 5148, 7638, 706, 2998, 543, 922, 14726, 7137, 706, 2998, 267, 645, 731, 690, 334, 267, 21537, 529, 334, 454, 534, 606, 8183, 585, 519, 2262, 29563, 630, 4134, 11825, 542, 1916, 10214, 538, 519, 5101, 972, 616, 4408, 540, 891, 2063, 1079, 5049, 2676, 267, 1498, 972, 616, 513, 1906, 12428, 4408, 899, 454, 663, 18841, 372, 353, 12000, 529, 282, 5259, 267, 607, 8895, 760, 23981, 454, 282, 543, 513, 1906, 15349, 267, 607, 454, 7883, 532, 1869, 20991, 7532, 267, 519, 8049, 2688, 799, 7173, 5661, 1851, 519, 645, 2940, 5840, 454, 16673, 581, 5018, 540, 4657, 19978, 4408, 547, 2147, 9699, 454, 12849, 609, 519, 1840, 540, 910, 329, 2465, 454, 307, 9506, 547, 519, 1985, 1390, 2707, 689, 799, 723, 1044, 6508, 519, 6014, 543, 4436, 11219, 28779, 1147, 12849, 1031, 538, 8723, 562, 32393, 1155, 1765, 339, 10232, 543, 23909, 27137, 4408, 607, 454, 2891, 1067, 31008, 8442, 1831, 7986, 269, 11524, 540, 519, 1482, 2186, 616, 281, 24434, 454, 22829, 1248, 877, 5148, 4858, 21838, 267, 6601, 9807, 267, 543, 645, 992, 518, 9497, 3691, 4546, 257, 5148, 1975, 1408, 10458, 454, 2891, 18571, 528, 21968, 538, 12355, 13913, 501, 21012, 27783, 502, 267, 932, 7159, 454, 270, 298, 3873, 527, 630, 663, 693, 2053, 454, 2891, 332, 2292, 7302, 9734, 20257, 13565, 267, 543, 11338, 1252, 1227, 4436, 267, 4408, 616, 6508, 1558, 7716, 1227, 454, 1721, 513, 1455, 1843, 610, 1907, 540, 513, 3924, 281, 552, 3052, 1421, 8621, 1067, 585, 513, 17051, 19431, 267, 12658, 518, 9497, 638, 650, 8442, 585, 513, 1085, 11171, 267, 543, 2274, 514, 9497, 4802, 523, 8442, 585, 513, 31066, 538, 12308, 563, 3719, 972, 616, 1866, 602, 616, 811, 3982, 1947, 6014, 912, 267, 689, 519, 31263, 4084, 8387, 945, 941, 865, 1572, 3248, 267, 689, 519, 9161, 454, 263, 10193, 5576, 889, 610, 1744, 889, 281, 12355, 27099, 585, 1412, 3333, 665, 2867, 579, 1532, 1712, 330, 262, 270, 761, 783, 1793, 4381, 19907, 543, 737, 657, 615, 5779, 8524, 528, 5148, 1744, 611, 330, 684, 454, 267, 513, 7365, 1532, 549, 12027, 3248, 263, 821, 14583, 540, 799, 568, 10067, 2401, 454, 1070, 5067, 540, 835, 945, 5340, 454, 267, 519, 10723, 678, 924, 540, 14062, 269, 589, 1297, 540, 12428, 4408, 616, 540, 2147, 5169, 912, 267, 513, 1494, 614, 3248, 267, 513, 544, 1783, 610, 7654, 513, 17199, 630, 2704, 5336, 340, 21681, 367, 520, 559, 454, 305, 269, 661, 269, 808, 563, 13051, 345, 542, 595, 269, 918, 12298, 4752, 630, 1960, 277, 268, 6187, 268, 4905, 1916, 288, 9218, 540, 6014, 18780, 543, 4256, 3778, 269, 18007, 2006, 543, 9741, 7615, 23255, 563, 25835, 476, 7818, 16409, 14341, 24798, 274, 269, 8158, 454, 1001, 275, 1421, 6032, 476, 1704, 268, 2420, 454, 24314, 1257, 540, 519, 31885, 9783, 676, 454, 297, 24944, 519, 2034, 454, 517, 519, 476, 2537, 6113, 540, 5147, 476, 9965, 278, 454, 313, 1446, 529, 5652, 267, 1520, 531, 6975, 630, 6977, 275, 1916, 21652, 321, 1276, 3541, 575, 525, 564, 2763, 3768, 2357, 867, 333, 684, 2102, 7143, 3832, 24166, 5884, 1135, 1125, 328, 268, 591, 342, 5306, 2426, 708, 3331, 370, 3122, 516, 747, 4593, 1156, 737, 9820, 518, 560, 320, 622, 13153, 476, 14690, 271, 268, 6977, 273, 476, 619, 577, 1329, 523, 521, 785, 454, 263, 14457, 1040, 674, 269, 2494, 345, 269, 6032, 269, 476, 12739, 1700, 15433, 563, 257, 328, 30208, 2668, 5680, 269, 1889, 2593, 269, 8158, 454, 299, 1513, 9093, 330, 281, 589, 9218, 540, 4436, 11219, 28779, 590, 1248, 1868, 269, 2997, 582, 599, 20692, 267, 19161, 523, 7615, 267, 476, 1220, 276, 269, 6032, 269, 476, 274, 268, 275, 454, 257, 299, 262, 26536, 1772, 571, 2946, 29411, 2580, 561, 341, 4512, 269, 476, 5325, 273, 454, 295, 27304, 779, 7642, 6875, 32719, 550, 7731, 18780, 630, 10520, 3836, 676, 6184, 320, 918, 28026, 1070, 538, 912, 7659, 26671, 540, 4436, 11219, 28779, 3778, 267, 8158, 476, 1001, 278, 268, 4962, 268, 866, 563, 27001, 14579, 619, 543, 26757, 8072, 529, 281, 715, 12078, 31588, 1722, 9459, 543, 922, 6014, 19724, 640, 630, 1805, 534, 5112, 281, 18628, 2160, 4964, 267, 476, 1220, 278, 1070, 2985, 476, 14028, 563, 27001, 14579, 619, 543, 26757, 8072, 529, 281, 715, 12078, 31588, 1722, 9459, 543, 922, 6014, 19724, 640, 630, 1805, 534, 5112, 281, 18628, 2160, 4964, 267, 476, 1220, 278, 1070, 2985, 476, 1001, 563, 15307, 615, 781, 5753, 281, 589, 5800, 11681, 540, 22504, 7642, 267, 676, 17921, 2006, 590, 6702, 541, 2676, 291, 773, 717, 525, 577, 747, 974, 3541, 7225, 1263, 21692, 538, 7671, 31060, 563, 29445, 31060, 267, 476, 5002, 280, 269, 6032, 476, 28526, 742, 563, 257, 9303, 334, 790, 964, 1772, 571, 2946, 331, 2572, 632, 561, 262, 29248, 790, 16368, 257, 12887, 6032, 269, 476, 29257, 268, 26326, 563, 2690, 519, 1585, 3029, 540, 454, 5408, 4035, 269, 2037, 1097, 322, 563, 268, 700, 1513, 9093, 330, 281, 589, 9218, 540, 4436, 11219, 28779, 590, 1248, 1868, 563, 268, 12138, 2142, 3187, 281, 589, 9218, 540, 6014, 590, 1248, 1868, 689, 8895, 545, 807, 269, 2997, 582, 599, 20692, 267, 19161, 523, 7615, 267, 476, 1220, 275, 2676, 268, 12138, 2142, 3187, 281, 589, 9218, 540, 6014, 590, 1248, 1868, 689, 519, 8003, 540, 12996, 269, 2997, 582, 599, 20692, 267, 19161, 523, 7615, 267, 476, 1960, 277, 2676, 268, 630, 14140, 7160, 264, 12138, 2142, 3187, 281, 6014, 590, 1248, 1868, 538, 26285, 826, 630, 1428, 628, 1700, 1240, 628, 2578, 3753, 1040, 2997, 582, 599, 20692, 267, 19161, 523, 7615, 267, 476, 1960, 275, 2676, 268, 12138, 2142, 3187, 281, 589, 9218, 540, 6014, 590, 1248, 1868, 689, 519, 6739, 7276, 281, 4860, 2213, 9990, 267, 476, 273, 12531, 269, 2997, 582, 599, 20692, 267, 19161, 523, 7615, 267, 476, 1220, 279, 2676, 6642, 25118, 24783, 277, 267, 476, 1911, 5400, 3817, 454, 268, 3689, 7160, 281, 476, 1960, 274, 2676, 268, 5345, 320, 9710, 578, 6308, 543, 454, 297, 28779, 7731, 18780, 543, 741, 17959, 281, 606, 552, 1399, 332, 1670, 8675, 269, 918, 14011, 309, 476, 1960, 273, 2676, 7818, 268, 271, 268, 6434, 272, 1839, 268, 29574, 268, 273, 267, 476, 6434, 273, 3817, 454, 268, 6168, 519, 21519, 2836, 548, 454, 268, 30686, 667, 269, 12359, 553, 543, 12540, 4958, 1261, 527, 10458, 281, 853, 611, 339, 964, 3794, 879, 321, 839, 269, 9986, 916, 267, 476, 1960, 273, 2676, 268, 589, 269, 1261, 653, 1676, 281, 12603, 853, 2459, 9539, 10179, 656, 523, 269, 769, 281, 645, 637, 331, 21516, 4236, 539, 529, 2583, 26155, 324, 785, 324, 4565, 3430, 267, 2549, 339, 997, 1127, 2349, 3430, 3541, 14271, 698, 690, 3188, 1889, 785, 324, 1990, 340, 645, 637, 331, 879, 269, 645, 637, 331, 879, 476, 4572, 279, 563, 268, 2274, 641, 1245, 2098, 684, 345, 281, 21601, 523, 3541, 7225, 523, 281, 661, 710, 575, 525, 577, 32218, 997, 515, 1133, 1562, 1276, 2426, 269, 2274, 760, 345, 580, 476, 8146, 278, 563, 268, 20435, 32021, 984, 5576, 644, 339, 281, 808, 6686, 4134, 3832, 8585, 29220, 6686, 6113, 580, 651, 527, 523, 269, 966, 528, 560, 749, 29868, 267, 729, 521, 747, 4354, 773, 4926, 3267, 5378, 3954, 523, 3267, 7225, 523, 1990, 340, 1326, 571, 2102, 269, 7671, 31060, 1299, 2274, 760, 345, 580, 267, 476, 14378, 275, 268, 1240, 269, 0, 3080, 540, 519, 1034, 1713, 9840, 538, 6138, 3322, 2436, 2470, 568, 811, 1271, 547, 519, 1646, 540, 513, 1126, 982, 14637, 269, 634, 6587, 949, 849, 581, 3020, 267, 609, 20741, 21274, 3006, 4730, 513, 1713, 1909, 538, 7209, 543, 1514, 1646, 563, 2691, 649, 1413, 693, 891, 1079, 2152, 267, 621, 568, 1898, 547, 5581, 519, 2165, 585, 1142, 835, 269, 1280, 519, 3483, 540, 713, 6476, 540, 519, 2470, 5288, 269, 20741, 5294, 543, 931, 267, 1934, 616, 519, 8847, 1031, 563, 268, 7186, 4016, 547, 519, 4719, 9043, 543, 22420, 2188, 602, 3310, 945, 1142, 1268, 3587, 689, 513, 2168, 29459, 269, 901, 3693, 2882, 938, 4162, 267, 5920, 267, 543, 2949, 2110, 268, 543, 1279, 3856, 1072, 9043, 563, 268, 715, 4669, 675, 4016, 547, 1169, 2825, 4756, 602, 5222, 945, 649, 1831, 607, 649, 1332, 909, 267, 1519, 519, 2833, 540, 938, 2038, 6689, 267, 875, 938, 3237, 6659, 721, 267, 945, 938, 2828, 941, 267, 543, 1018, 519, 4478, 2528, 5949, 547, 581, 563, 17843, 8371, 540, 6530, 1491, 513, 13283, 835, 3168, 693, 835, 936, 519, 824, 1869, 2221, 269, 18143, 6530, 11148, 547, 1413, 693, 519, 2956, 540, 6211, 7506, 267, 6466, 2623, 1143, 6499, 547, 1445, 593, 519, 5222, 602, 519, 1604, 814, 593, 2123, 2623, 563, 7197, 540, 519, 9840, 5473, 891, 1079, 5380, 4043, 547, 1491, 513, 835, 21758, 1935, 269, 4107, 4966, 2221, 5431, 602, 1312, 1404, 513, 2565, 1909, 538, 519, 1268, 602, 649, 1831, 835, 1554, 269, 1452, 2609, 849, 2170, 609, 721, 538, 1271, 2081, 2429, 938, 2729, 563, 8266, 540, 519, 18370, 540, 7186, 5288, 715, 4669, 675, 454, 272, 269, 7186, 2306, 621, 2009, 585, 782, 540, 721, 547, 2291, 538, 519, 1101, 1747, 563, 14085, 540, 721, 1131, 581, 2713, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 1650, 540, 8496, 877, 570, 1380, 7596, 568, 607, 4241, 607, 602, 540, 519, 14266, 3294, 269, 3245, 513, 2777, 24010, 781, 8250, 547, 513, 3811, 1870, 4807, 267, 1200, 1272, 814, 782, 519, 7436, 540, 513, 21035, 3625, 321, 13831, 269, 8496, 600, 570, 1380, 7596, 729, 4535, 538, 476, 12293, 272, 543, 3957, 21322, 717, 4592, 3128, 16379, 269, 4173, 4651, 729, 7166, 538, 6370, 1152, 1079, 3275, 1354, 631, 2033, 781, 4332, 269, 1280, 519, 1101, 2947, 1296, 540, 1200, 1272, 267, 21322, 5030, 538, 7137, 928, 609, 1200, 3993, 267, 945, 5249, 607, 2777, 24010, 585, 3220, 10218, 324, 4354, 339, 3780, 269, 589, 4387, 267, 609, 513, 13007, 585, 14589, 9781, 267, 4354, 339, 3780, 2968, 1200, 4116, 269, 898, 729, 4354, 339, 3780, 945, 8118, 519, 3312, 14589, 14266, 538, 8303, 538, 476, 10082, 271, 543, 5189, 21322, 547, 930, 4583, 1004, 269, 2311, 1152, 476, 1704, 267, 1352, 24018, 519, 4583, 5856, 30473, 529, 5292, 3279, 790, 267, 4553, 676, 513, 17855, 540, 1977, 2829, 2006, 18148, 15284, 950, 646, 729, 538, 8303, 607, 2475, 5605, 26513, 269, 5637, 5515, 616, 1869, 593, 4159, 693, 8496, 877, 570, 1380, 7596, 781, 267, 5507, 2221, 269, 4173, 960, 693, 4354, 339, 3780, 3811, 14589, 14266, 3366, 547, 606, 27592, 547, 519, 5480, 540, 8402, 2473, 9654, 543, 1010, 15596, 269, 1280, 8370, 1296, 1352, 5030, 693, 519, 19289, 540, 12411, 320, 14792, 13057, 519, 7499, 2069, 540, 519, 4622, 781, 11078, 269, 11531, 519, 3943, 7169, 729, 827, 547, 21074, 269, 589, 2264, 540, 519, 2797, 476, 562, 6135, 267, 24589, 2089, 324, 4354, 339, 3780, 1572, 21322, 1394, 547, 8303, 269, 21322, 278, 521, 4276, 609, 519, 10424, 1920, 1500, 1200, 16944, 269, 5637, 1352, 543, 1200, 3993, 941, 18486, 269, 2991, 1352, 729, 1305, 1863, 267, 21322, 729, 7142, 547, 1118, 2669, 13968, 630, 320, 2669, 9633, 568, 513, 2203, 540, 513, 4666, 1268, 781, 3068, 267, 1500, 676, 524, 8221, 741, 3068, 609, 513, 2571, 6219, 543, 15603, 621, 1831, 2182, 264, 540, 13401, 567, 8821, 956, 269, 3509, 941, 5449, 2828, 693, 5480, 267, 1519, 1200, 5449, 12820, 267, 519, 4622, 543, 15596, 269, 1635, 476, 5197, 271, 21322, 729, 9310, 609, 1079, 1762, 1453, 543, 513, 4057, 1870, 15110, 689, 4354, 339, 3780, 269, 8496, 877, 570, 1380, 7596, 1500, 519, 3375, 547, 1491, 1200, 14266, 593, 4663, 269, 769, 476, 5197, 273, 267, 1352, 2451, 5333, 269, 1280, 519, 1985, 476, 3451, 1296, 267, 8496, 877, 570, 1380, 7596, 14612, 519, 3703, 1772, 956, 267, 27109, 1200, 3395, 4015, 540, 23609, 269, 769, 1346, 840, 14482, 7697, 2395, 267, 713, 729, 519, 1152, 1259, 1034, 1004, 1185, 1463, 3346, 609, 519, 4583, 1004, 540, 519, 942, 269, 634, 14266, 2968, 18385, 1759, 538, 5507, 538, 476, 8146, 276, 267, 3001, 547, 922, 1459, 3135, 538, 6307, 548, 14752, 10003, 538, 476, 6642, 275, 269, 4173, 2063, 960, 267, 513, 7415, 1582, 910, 17855, 602, 568, 1869, 593, 1397, 267, 729, 6192, 1152, 5216, 1296, 1354, 1200, 2669, 9907, 476, 8660, 269, 21322, 729, 18486, 1282, 519, 3943, 7169, 1317, 318, 563, 288, 269, 1352, 1185, 5249, 585, 3220, 10218, 324, 4354, 339, 3780, 454, 289, 269, 1352, 1185, 24018, 519, 3943, 10424, 1920, 454, 290, 269, 1352, 1185, 5249, 693, 519, 1747, 540, 12411, 320, 14792, 454, 291, 269, 1352, 1185, 15189, 547, 1118, 2669, 13968, 454, 12585, 281, 595, 0, 9223, 281, 5565, 1114, 7189, 2408, 538, 23369, 12653, 1457, 267, 543, 27578, 781, 22845, 267, 855, 723, 519, 1482, 2012, 269, 1548, 568, 621, 888, 12585, 281, 1743, 1665, 1793, 15351, 0, 9223, 281, 5981, 25306, 568, 519, 1291, 22256, 609, 799, 2701, 742, 1752, 6512, 888, 12585, 281, 818, 8157, 1395, 651, 525, 0, 9223, 281, 589, 7911, 23136, 543, 1010, 8004, 23136, 13264, 883, 513, 2777, 3735, 693, 3781, 609, 8247, 547, 21102, 513, 8305, 334, 1062, 269, 4014, 789, 5156, 602, 519, 8227, 729, 2476, 593, 513, 1870, 7552, 267, 538, 1249, 646, 729, 12008, 538, 606, 909, 560, 4202, 23103, 269, 2755, 789, 941, 3330, 519, 2777, 267, 519, 8004, 23136, 9307, 602, 1352, 1185, 4957, 1200, 2247, 543, 24016, 1200, 7911, 23136, 547, 4734, 269, 634, 8227, 267, 945, 729, 32570, 539, 676, 519, 6846, 1524, 560, 4202, 267, 26731, 519, 25047, 13826, 547, 8495, 269, 16270, 7487, 519, 8227, 267, 519, 8004, 23136, 1586, 24016, 1200, 7911, 23136, 547, 25176, 269, 5502, 267, 519, 7911, 23136, 16091, 519, 8227, 543, 13615, 1864, 909, 609, 513, 18052, 269, 1703, 1575, 517, 267, 519, 7911, 23136, 543, 1010, 8004, 23136, 2451, 609, 519, 8227, 781, 8305, 334, 3937, 269, 2991, 789, 2451, 267, 519, 8227, 669, 12097, 547, 2669, 593, 519, 887, 6647, 1247, 3843, 547, 1863, 5128, 269, 634, 7911, 23136, 543, 1010, 8004, 23136, 941, 9901, 609, 12638, 855, 941, 4203, 26860, 269, 1703, 12898, 267, 519, 8004, 23136, 729, 25370, 9150, 539, 543, 21991, 3176, 585, 21688, 3415, 12638, 269, 6904, 540, 519, 1739, 568, 519, 8004, 23136, 781, 1655, 4661, 585, 4203, 527, 2145, 888, 288, 269, 634, 4203, 527, 2145, 540, 519, 8004, 23136, 543, 1200, 7911, 23136, 585, 12638, 840, 11079, 1022, 7766, 31989, 896, 519, 14985, 540, 759, 4140, 545, 1092, 563, 289, 269, 634, 8227, 781, 29047, 4674, 547, 1863, 5128, 729, 513, 2706, 1597, 532, 2014, 540, 2669, 563, 290, 269, 4595, 519, 8004, 23136, 4957, 1200, 2247, 267, 1352, 3112, 581, 1336, 16944, 540, 3276, 6921, 776, 269, 3097, 291, 269, 634, 8004, 23136, 24013, 4319, 689, 519, 10243, 540, 519, 5817, 21688, 3415, 540, 3276, 6921, 776, 563, 12585, 281, 667, 0, 9223, 281, 1548, 616, 519, 1808, 7592, 602, 786, 4217, 26933, 547, 18214, 519, 21117, 540, 1967, 286, 25709, 687, 4268, 4922, 269, 9717, 3592, 3160, 20340, 543, 6381, 267, 930, 3409, 519, 1967, 3815, 568, 7361, 513, 2339, 540, 9939, 734, 7424, 538, 519, 1318, 1747, 693, 519, 1318, 942, 269, 11524, 3717, 540, 606, 3592, 21173, 20174, 547, 960, 267, 5916, 609, 513, 4110, 540, 678, 3578, 16531, 269, 2290, 257, 1410, 13630, 257, 11099, 602, 621, 781, 17216, 513, 2339, 540, 875, 1454, 2069, 707, 3993, 1185, 269, 1677, 1118, 621, 2462, 267, 26933, 1590, 4865, 2185, 2596, 1983, 281, 3689, 267, 5397, 1547, 6355, 1967, 3217, 606, 8966, 2179, 540, 1648, 269, 589, 3811, 10324, 4534, 3592, 676, 4214, 734, 529, 513, 4174, 591, 269, 1261, 786, 1205, 13029, 950, 646, 568, 711, 20678, 269, 5822, 267, 1004, 2631, 269, 2368, 2161, 1373, 2111, 547, 9794, 1004, 568, 811, 1271, 982, 513, 1164, 21842, 269, 634, 5578, 666, 581, 15859, 783, 2073, 855, 538, 1034, 2665, 621, 568, 1928, 560, 1136, 569, 4121, 269, 12059, 267, 10618, 2702, 269, 7756, 26933, 1118, 2933, 6956, 538, 1114, 2081, 267, 2368, 10141, 2093, 1655, 3068, 547, 3068, 282, 1866, 616, 18544, 540, 519, 15146, 1289, 282, 1869, 1866, 616, 10388, 5830, 269, 2290, 1259, 610, 1776, 267, 789, 782, 5968, 5693, 269, 19549, 267, 9350, 896, 2604, 269, 3143, 1870, 2006, 786, 1205, 1360, 2484, 952, 646, 669, 10280, 909, 269, 634, 3811, 26933, 1590, 318, 563, 288, 269, 1689, 2093, 3068, 547, 3068, 454, 289, 269, 4096, 593, 7658, 10746, 454, 290, 269, 581, 10388, 5830, 454, 291, 269, 2769, 2933, 3982, 569, 454, 12585, 281, 667, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1677, 2149, 707, 4064, 950, 1210, 513, 1379, 4718, 267, 596, 666, 454, 288, 269, 2422, 23475, 28904, 547, 1832, 856, 7452, 454, 289, 269, 23203, 3106, 575, 17344, 956, 547, 1832, 856, 7452, 454, 12585, 281, 645, 0, 9223, 281, 898, 729, 519, 2063, 1554, 540, 3803, 11400, 538, 513, 6280, 269, 2201, 519, 3268, 540, 835, 2679, 267, 513, 1895, 540, 4702, 1053, 941, 7234, 519, 981, 269, 2201, 741, 8188, 729, 6015, 1547, 901, 729, 741, 2063, 981, 543, 1287, 789, 1131, 10927, 269, 2060, 782, 891, 2185, 1296, 540, 2852, 3297, 873, 267, 789, 5433, 4712, 547, 979, 883, 519, 1158, 269, 634, 7548, 1185, 1767, 789, 1223, 3142, 1022, 1433, 610, 4063, 789, 4941, 267, 855, 789, 1223, 711, 2911, 547, 1142, 824, 269, 1358, 4682, 883, 519, 4928, 25747, 269, 634, 7548, 5795, 873, 519, 4574, 269, 1358, 20493, 950, 789, 1336, 602, 972, 941, 1152, 2947, 2055, 269, 8422, 3108, 5293, 543, 519, 7548, 3459, 547, 2445, 519, 4574, 269, 634, 1053, 1100, 3476, 6743, 865, 8746, 1547, 634, 7548, 5185, 519, 1362, 269, 3143, 835, 12038, 269, 1358, 1175, 4371, 4574, 538, 741, 3946, 269, 634, 7548, 1287, 4280, 267, 834, 1692, 1082, 540, 596, 8737, 782, 2947, 2055, 8119, 3502, 513, 1688, 729, 6659, 269, 834, 1692, 1082, 12943, 2185, 8119, 12846, 1100, 1688, 269, 834, 16248, 286, 5565, 8119, 634, 1053, 6743, 14126, 538, 741, 16295, 269, 834, 3080, 267, 1287, 8119, 15742, 569, 18825, 8737, 835, 269, 1717, 267, 18864, 14452, 269, 634, 7548, 2322, 1524, 519, 4574, 269, 834, 6546, 568, 1175, 1018, 594, 2219, 2437, 646, 1767, 269, 834, 296, 1175, 1616, 547, 2995, 596, 602, 267, 1256, 1498, 596, 723, 8737, 2185, 1296, 540, 4702, 267, 972, 616, 1869, 1082, 1919, 827, 519, 1641, 596, 1810, 1405, 917, 269, 1452, 2055, 596, 1223, 711, 2626, 616, 3833, 1455, 538, 4948, 2259, 1701, 3973, 646, 3773, 609, 513, 12837, 267, 834, 2791, 786, 782, 1780, 713, 1576, 267, 855, 3314, 955, 16838, 1498, 596, 616, 1631, 2852, 20021, 267, 707, 2069, 814, 1175, 13175, 1701, 1879, 1705, 519, 1650, 4755, 888, 288, 269, 2311, 519, 4098, 540, 513, 1007, 2165, 563, 289, 269, 2991, 4271, 908, 689, 519, 6280, 563, 290, 269, 2201, 519, 1101, 1554, 540, 519, 3803, 11400, 563, 291, 269, 2201, 519, 2063, 1554, 540, 519, 3803, 11400, 563, 12585, 281, 667, 0, 9223, 281, 6904, 4670, 588, 18732, 631, 2044, 331, 6790, 788, 538, 476, 2735, 276, 267, 4465, 476, 278, 744, 2675, 1513, 888, 12585, 281, 3954, 7192, 20891, 753, 651, 3484, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 16010, 543, 6355, 281, 1496, 3650, 518, 316, 1215, 547, 10625, 4731, 335, 15462, 17015, 1996, 7189, 1496, 27583, 316, 13555, 707, 1533, 781, 2564, 24416, 4604, 269, 1496, 21163, 316, 2659, 4387, 1590, 581, 13931, 676, 519, 4604, 547, 2259, 538, 707, 1533, 269, 1411, 666, 1265, 713, 4604, 676, 17511, 834, 707, 1533, 834, 543, 834, 2564, 12689, 4604, 834, 883, 707, 5172, 1357, 11422, 269, 3097, 288, 269, 634, 3406, 3046, 693, 519, 1283, 540, 519, 5496, 1058, 2303, 834, 519, 2564, 24416, 4604, 269, 834, 1496, 27583, 316, 4855, 519, 16278, 1141, 519, 12689, 568, 9783, 563, 289, 269, 2311, 519, 3896, 267, 596, 666, 3335, 3406, 676, 519, 4387, 781, 2012, 610, 4087, 269, 1496, 11357, 25074, 316, 1403, 707, 1533, 3085, 1405, 723, 513, 3896, 596, 666, 3406, 267, 1287, 3346, 519, 24416, 4604, 2047, 563, 290, 269, 3962, 1533, 814, 606, 8116, 602, 27180, 4731, 335, 15462, 17015, 1759, 593, 519, 3652, 9788, 856, 676, 519, 24416, 4604, 269, 1496, 11357, 25074, 316, 9612, 585, 519, 24416, 4604, 538, 707, 1533, 563, 291, 269, 3962, 1533, 786, 723, 513, 4604, 4604, 4604, 676, 1533, 269, 1496, 11357, 25074, 316, 6744, 519, 24416, 4604, 3896, 585, 707, 1533, 593, 519, 7819, 7681, 540, 24416, 12545, 3896, 547, 1451, 811, 827, 2436, 596, 991, 547, 3346, 519, 4604, 538, 707, 1533, 563, 12585, 281, 645, 0, 9223, 281, 6904, 957, 816, 1767, 1862, 1879, 594, 6415, 1434, 594, 6415, 1360, 1434, 267, 855, 950, 594, 6415, 3983, 594, 6415, 1732, 888, 12585, 281, 568, 602, 513, 7784, 538, 707, 17927, 610, 616, 596, 1175, 6126, 547, 1294, 803, 274, 325 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1913, 585, 3214, 910, 2911, 269, 11059, 1913, 585, 3214, 910, 536, 7752, 269, 11059, 1913, 585, 3214, 910, 18214, 269, 7114, 519, 1318, 2262, 585, 513, 2285, 2962, 4605, 267, 1603, 856, 519, 2962, 2262, 585, 513, 2016, 4605, 267, 543, 865, 593, 269, 1548, 2962, 1913, 547, 4001, 286, 18800, 338, 281, 476, 278, 563, 27855, 519, 4605, 13185, 827, 519, 3484, 9299, 520, 680, 320, 520, 1630, 518, 1457, 6359, 3427, 700, 4875, 267, 1849, 760, 3203, 267, 5675, 32653, 24436, 267, 5675, 8871, 14186, 267, 5675, 14313, 267, 9442, 2107, 1446, 267, 16594, 10657, 4855, 713, 18237, 543, 811, 593, 22062, 566, 270, 16240, 2480, 25333, 676, 26726, 538, 1169, 4605, 616, 3670, 1913, 563, 4692, 596, 543, 519, 3214, 1265, 873, 782, 286, 11676, 6625, 6438, 10658, 14794, 269, 2142, 2386, 547, 1331, 1141, 713, 8709, 3357, 689, 543, 1141, 621, 729, 2469, 269, 2648, 519, 2856, 540, 1210, 5961, 585, 1603, 12987, 589, 26964, 8274, 667, 539, 5344, 547, 24436, 585, 9752, 5606, 2397, 910, 3509, 1131, 849, 581, 1390, 607, 1603, 12987, 563, 303, 27348, 32653, 11300, 5675, 24436, 11300, 5675, 1280, 8866, 5675, 32653, 24436, 21931, 1603, 563, 303, 27348, 8871, 14186, 547, 27910, 8111, 5675, 3206, 602, 12383, 267, 6337, 267, 543, 824, 5686, 540, 5961, 1131, 581, 513, 8748, 1259, 547, 18663, 1762, 5830, 269, 2334, 568, 519, 23350, 3297, 713, 1433, 267, 519, 5767, 538, 3040, 589, 12093, 540, 519, 3933, 320, 28988, 987, 520, 4991, 3214, 6185, 5877, 0, 763, 18541, 543, 32742, 540, 24067, 6082, 267, 3226, 519, 1390, 7060, 267, 941, 1713, 2188, 538, 519, 4155, 547, 1158, 2112, 1775, 269, 634, 1764, 540, 19525, 593, 19052, 2804, 1646, 795, 9655, 7699, 546, 3118, 928, 3936, 956, 1185, 1044, 29633, 689, 21562, 547, 519, 24914, 540, 519, 1007, 1158, 267, 519, 269, 20616, 1143, 543, 22030, 2804, 1894, 1063, 21570, 543, 519, 799, 538, 561, 5064, 3177, 519, 3844, 3854, 2344, 540, 519, 1158, 267, 538, 1198, 24458, 269, 3864, 19525, 519, 6708, 540, 24067, 22030, 538, 519, 2025, 1158, 6172, 5523, 799, 678, 5792, 21570, 6306, 543, 2165, 3990, 922, 17282, 540, 519, 2025, 1158, 563, 763, 17091, 540, 21562, 552, 327, 1221, 340, 552, 789, 1185, 538, 1198, 1044, 1219, 571, 24231, 543, 602, 519, 24067, 7060, 543, 6896, 19052, 4187, 547, 24067, 22030, 269, 2342, 1310, 32685, 4512, 4367, 4786, 540, 21570, 1018, 568, 21570, 1152, 13977, 1296, 1185, 5293, 1063, 519, 1376, 540, 519, 1101, 1158, 2112, 543, 519, 1439, 540, 519, 2034, 269, 634, 1764, 540, 24067, 22030, 538, 21562, 513, 281, 14226, 540, 2200, 1185, 513, 5458, 1198, 1282, 519, 713, 2754, 6417, 811, 982, 3368, 519, 1158, 781, 563, 7692, 12103, 1512, 22030, 281, 2797, 267, 2804, 267, 1299, 1514, 4539, 1185, 513, 14042, 1198, 593, 26771, 16851, 543, 22030, 1500, 621, 7543, 585, 269, 20616, 1143, 543, 22030, 23882, 267, 18008, 543, 678, 11701, 7810, 16904, 267, 799, 1142, 23500, 519, 1158, 538, 922, 1378, 6073, 609, 7980, 267, 3744, 11783, 11572, 2360, 540, 22030, 519, 2797, 2164, 540, 713, 1007, 10182, 941, 1271, 22030, 543, 1158, 2112, 7965, 540, 9542, 563, 19322, 664, 729, 711, 519, 1152, 24067, 1379, 547, 8362, 3935, 1125, 21562, 1517, 17753, 267, 621, 3315, 267, 535, 8896, 267, 27437, 267, 838, 664, 543, 2823, 1872, 531, 782, 4371, 19052, 8513, 538, 519, 3735, 476, 866, 628, 2540, 267, 543, 5129, 513, 851, 538, 269, 10801, 519, 1686, 540, 519, 1158, 267, 22030, 814, 5129, 513, 2101, 1909, 11440, 1436, 1185, 606, 7357, 1114, 1198, 593, 21562, 267, 32204, 13314, 267, 543, 607, 807, 269, 901, 3992, 786, 2263, 24067, 22030, 538, 519, 476, 866, 628, 543, 476, 736, 628, 5553, 538, 3257, 713, 621, 786, 5581, 1007, 22030, 543, 2491, 875, 2804, 269, 634, 13210, 540, 24067, 2518, 17282, 519, 2262, 22030, 814, 2097, 547, 1611, 1082, 1919, 547, 1082, 1004, 538, 1198, 267, 519, 22964, 3901, 1235, 269, 769, 519, 13524, 2540, 267, 7262, 21570, 729, 519, 2804, 1379, 5264, 540, 519, 1158, 922, 11327, 1379, 729, 796, 3901, 3481, 1946, 21570, 12199, 519, 1158, 563, 1692, 1705, 18541, 1860, 21570, 513, 281, 713, 19710, 1062, 729, 3226, 5363, 1282, 1158, 2112, 13797, 950, 519, 24067, 2477, 22030, 543, 269, 9894, 24067, 19525, 4324, 21570, 4986, 538, 519, 1483, 1158, 543, 950, 596, 1293, 602, 649, 4440, 9327, 1405, 723, 1185, 519, 1158, 10617, 267, 22030, 269, 20616, 1143, 267, 7262, 281, 19525, 267, 7262, 267, 513, 2797, 20300, 7613, 17929, 1585, 24067, 6082, 8268, 267, 22482, 267, 12306, 267, 543, 23699, 1804, 2127, 540, 519, 1158, 269, 20616, 1143, 543, 922, 1198, 593, 32650, 5984, 22030, 849, 1185, 1082, 2942, 2360, 593, 519, 1004, 540, 707, 2063, 4960, 547, 2196, 2476, 689, 519, 1158, 585, 513, 8237, 29364, 563, 763, 2208, 540, 18541, 538, 21570, 513, 4182, 949, 581, 4330, 607, 513, 2146, 2348, 513, 1455, 22657, 267, 513, 1455, 2528, 543, 1455, 5389, 22099, 281, 24067, 18541, 267, 538, 922, 2413, 2631, 267, 729, 4535, 856, 540, 519, 7287, 540, 513, 2146, 547, 7682, 922, 9322, 543, 7115, 269, 15875, 1143, 267, 2686, 630, 13523, 19525, 264, 2686, 22030, 568, 519, 4674, 676, 607, 13314, 8179, 547, 3895, 922, 16431, 543, 2418, 538, 519, 2022, 8996, 2112, 269, 634, 24067, 9769, 568, 513, 13075, 11769, 540, 476, 2764, 535, 4593, 958, 4830, 2477, 538, 476, 1220, 278, 267, 519, 552, 340, 2968, 519, 1158, 781, 4102, 4346, 922, 269, 32501, 543, 519, 1439, 540, 22030, 607, 513, 12343, 540, 713, 8101, 1689, 538, 519, 2797, 3919, 540, 519, 1158, 267, 972, 941, 1271, 2242, 538, 563, 28158, 1686, 27160, 13152, 22030, 543, 741, 11440, 22590, 1472, 519, 1158, 943, 696, 1856, 284, 324, 13152, 318, 20931, 27160, 13152, 318, 574, 704, 658, 1143, 318, 663, 5332, 1049, 1143, 269, 11572, 267, 2804, 267, 543, 4108, 6498, 540, 2022, 21351, 6617, 729, 21099, 22030, 267, 519, 3510, 543, 948, 1376, 519, 24067, 1158, 593, 922, 1259, 547, 269, 3962, 2197, 6322, 547, 2333, 922, 1378, 31449, 676, 7213, 6819, 11182, 538, 824, 2694, 540, 519, 1158, 1018, 941, 519, 3123, 540, 24067, 22030, 538, 21562, 269, 634, 2014, 543, 1198, 540, 519, 23882, 24067, 22030, 1500, 922, 1259, 547, 22703, 607, 807, 607, 621, 910, 2518, 22030, 3459, 547, 1491, 922, 17167, 593, 519, 1158, 269, 0, 288, 2077, 13444, 779, 2185, 3123, 18211, 13444, 6257, 543, 13187, 585, 519, 2185, 3123, 538, 1010, 2835, 6323, 543, 21042, 12695, 607, 513, 851, 540, 3384, 1010, 6138, 540, 6219, 646, 6811, 602, 972, 616, 2185, 3123, 630, 528, 3137, 264, 2877, 547, 2491, 1689, 538, 519, 1158, 269, 634, 2185, 3123, 540, 2623, 18211, 13444, 779, 2185, 3123, 533, 2678, 678, 737, 4068, 523, 272, 8257, 540, 6530, 267, 513, 13252, 1533, 6280, 267, 1661, 701, 267, 513, 13252, 18211, 13444, 630, 10520, 476, 4572, 280, 264, 4330, 2185, 5686, 540, 7778, 269, 634, 2185, 3123, 538, 1433, 1079, 540, 519, 6323, 267, 18211, 13444, 5956, 519, 3791, 3184, 676, 3045, 23395, 267, 602, 649, 1058, 2015, 875, 1082, 543, 1018, 12204, 540, 3123, 972, 616, 563, 8269, 619, 547, 519, 2014, 540, 606, 1843, 610, 25427, 4540, 538, 824, 1913, 267, 1946, 519, 3364, 6818, 513, 1433, 6818, 1317, 2576, 5206, 543, 9102, 621, 519, 2278, 540, 519, 1433, 568, 519, 2014, 540, 519, 1433, 4540, 2864, 982, 621, 1175, 1373, 513, 18061, 540, 1957, 269, 9050, 3123, 540, 32685, 272, 1557, 11540, 593, 694, 4697, 476, 1839, 267, 476, 1001, 275, 676, 14721, 927, 23439, 3821, 17245, 2689, 3594, 3638, 12107, 10480, 12031, 22631, 1222, 5967, 1271, 7907, 540, 1434, 3237, 1557, 1071, 6476, 1557, 991, 11832, 269, 634, 2185, 3123, 616, 2609, 540, 606, 9565, 6240, 538, 18211, 582, 27318, 2219, 17929, 3137, 540, 1689, 610, 3350, 616, 9286, 883, 2185, 4909, 2010, 540, 2626, 547, 519, 2243, 1946, 563, 12850, 267, 4672, 267, 2842, 543, 8904, 519, 2063, 568, 2356, 1572, 2527, 27830, 7725, 2887, 1813, 547, 8904, 267, 3037, 1793, 7927, 1813, 547, 8904, 1216, 543, 2842, 960, 1317, 540, 741, 2702, 547, 1711, 11508, 543, 547, 679, 5721, 5536, 540, 1585, 7306, 547, 957, 607, 1907, 269, 3689, 519, 2856, 540, 519, 2185, 3123, 267, 6101, 267, 1570, 267, 3608, 543, 3803, 267, 7389, 1394, 547, 519, 3504, 19967, 14544, 18211, 13444, 630, 29575, 27652, 1107, 476, 27088, 27652, 264, 543, 568, 519, 3376, 2497, 538, 799, 588, 28114, 6864, 21590, 4485, 3137, 538, 2470, 269, 634, 968, 27917, 3123, 892, 616, 3730, 2645, 538, 12570, 1018, 1945, 568, 519, 2185, 3123, 948, 596, 1589, 543, 3717, 5693, 585, 28114, 6864, 21590, 267, 606, 7850, 4214, 2141, 2882, 519, 2185, 3123, 269, 5900, 1026, 2373, 540, 519, 12405, 949, 4268, 676, 4087, 267, 855, 972, 616, 1869, 3376, 8847, 602, 3444, 1034, 540, 519, 6302, 538, 519, 5614, 267, 5452, 1491, 3597, 543, 10664, 5956, 547, 1332, 519, 4365, 563, 268, 2687, 547, 18211, 13444, 781, 14985, 540, 2185, 3123, 267, 519, 3123, 616, 281, 1570, 2014, 267, 3608, 2014, 267, 6101, 2014, 267, 543, 3803, 2014, 798, 596, 917, 1018, 14985, 568, 910, 9811, 269, 17127, 6508, 1010, 3069, 540, 519, 2185, 3123, 891, 3123, 13986, 547, 2491, 519, 2014, 610, 3483, 540, 1945, 610, 519, 968, 25585, 9232, 891, 3123, 616, 519, 6101, 2014, 267, 1570, 2014, 267, 3608, 2014, 267, 543, 3803, 2014, 269, 634, 1448, 568, 602, 891, 2185, 3123, 666, 7854, 606, 3615, 2347, 6609, 267, 971, 607, 1018, 621, 779, 1500, 540, 267, 1018, 621, 5654, 899, 267, 1018, 1500, 621, 543, 922, 3483, 519, 1757, 566, 3069, 568, 519, 4493, 585, 1454, 540, 18211, 13444, 779, 960, 267, 1519, 6323, 267, 21042, 12695, 267, 543, 519, 6214, 269, 634, 2185, 3123, 476, 272, 18211, 13444, 779, 14985, 540, 519, 2185, 3123, 568, 2629, 267, 855, 3362, 29144, 621, 568, 2067, 585, 721, 630, 14006, 3620, 2541, 753, 264, 547, 1589, 540, 3123, 538, 2474, 540, 2014, 7146, 13716, 713, 568, 22801, 538, 1896, 2081, 281, 513, 1152, 835, 540, 18211, 13444, 779, 3123, 630, 1492, 968, 324, 2310, 892, 2014, 264, 4992, 1256, 20716, 899, 513, 563, 19177, 3123, 1292, 2376, 281, 2185, 3123, 18211, 13444, 11130, 676, 21658, 609, 3574, 1740, 602, 513, 3364, 3217, 922, 1106, 689, 2185, 3123, 2433, 538, 519, 2013, 540, 513, 3349, 267, 519, 3574, 1031, 630, 1570, 2014, 16532, 922, 1374, 630, 6101, 2014, 16532, 519, 2645, 543, 2553, 1031, 630, 3608, 2014, 16532, 543, 922, 16560, 610, 4052, 3483, 630, 3803, 2014, 1547, 634, 2185, 3123, 1018, 616, 972, 2185, 540, 18211, 13444, 779, 14985, 540, 519, 2185, 3123, 568, 2629, 267, 855, 3362, 29144, 621, 568, 2067, 585, 721, 630, 14006, 3620, 2541, 753, 264, 547, 1589, 540, 630, 6343, 18211, 13444, 7125, 264, 968, 8619, 4926, 892, 538, 2474, 540, 938, 8545, 6377, 10206, 540, 2014, 7146, 13716, 269, 17127, 779, 2185, 3123, 281, 18211, 13444, 779, 2185, 3123, 941, 519, 1570, 2014, 267, 519, 1106, 320, 2014, 267, 519, 3608, 2014, 543, 519, 3803, 2014, 519, 1570, 2014, 1107, 713, 568, 519, 6219, 602, 1945, 568, 1500, 689, 563, 288, 2077, 13444, 781, 6323, 6799, 2185, 2010, 540, 2014, 281, 6101, 267, 1570, 267, 3803, 543, 3608, 533, 2678, 5654, 693, 782, 2185, 267, 543, 12134, 2436, 12105, 3069, 14944, 1149, 3803, 3123, 538, 2470, 269, 16797, 2626, 972, 941, 2185, 1292, 3123, 540, 1158, 2112, 1775, 281, 2113, 10560, 1143, 267, 24816, 267, 22030, 543, 18541, 519, 1101, 1158, 2112, 729, 513, 1463, 1267, 540, 891, 2185, 1292, 3123, 267, 855, 621, 729, 15427, 676, 519, 26923, 540, 519, 28191, 6929, 2895, 706, 651, 21473, 345, 7542, 27849, 543, 1010, 7385, 269, 9050, 3123, 543, 2947, 2081, 15663, 19320, 543, 21374, 666, 581, 9158, 1227, 27283, 543, 15338, 690, 1227, 3730, 585, 1383, 267, 1053, 540, 18211, 582, 27318, 6253, 558, 2065, 630, 320, 2389, 264, 6138, 616, 5432, 609, 875, 9997, 568, 547, 1560, 607, 1106, 568, 547, 2339, 607, 957, 568, 547, 1494, 1890, 563, 7212, 3504, 267, 18211, 13444, 781, 2185, 630, 2041, 264, 8619, 4926, 1683, 606, 17170, 5943, 585, 2413, 3621, 7778, 267, 543, 538, 1880, 585, 6571, 540, 519, 1699, 7521, 827, 1565, 538, 18211, 13444, 781, 5943, 267, 3608, 3123, 616, 12153, 267, 2621, 602, 3142, 827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 3698, 7369, 320, 301, 630, 333, 2187, 825, 1820, 3488, 11749, 528, 632, 715, 630, 2311, 783, 815, 22207, 333, 10086, 264, 5073, 825, 562, 815, 703, 9272, 3488, 300, 644, 541, 16948, 281, 1412, 11723, 825, 2132, 562, 692, 3698, 30458, 2690, 3799, 2187, 825, 30458, 815, 29129, 825, 585, 562, 538, 2039, 263, 272, 2073, 562, 1341, 476, 272, 2187, 1038, 952, 562, 4939, 476, 273, 11203, 476, 271, 912, 2018, 30458, 6910, 3799, 2020, 825, 1820, 8266, 320, 17338, 320, 2020, 825, 2132, 692, 3698, 30458, 24961, 3799, 2187, 825, 544, 815, 1592, 9852, 777, 10857, 10033, 6221, 281, 14403, 2608, 476, 273, 910, 476, 272, 267, 2039, 263, 272, 19885, 266, 272, 4297, 2020, 825, 952, 562, 4939, 476, 273, 11203, 476, 271, 912, 1038, 1820, 8266, 320, 9852, 11468, 842, 3799, 1315, 476, 273, 264, 1341, 476, 272, 20285, 825, 3116, 912, 1038, 1820, 8266, 320, 9852, 11468, 842, 3799, 1315, 476, 273, 13580, 2020, 825, 2132, 692, 3698, 30458, 23742, 614, 3799, 2187, 825, 30458, 815, 1592, 6600, 559, 614, 10857, 10033, 6221, 281, 6221, 4939, 476, 273, 11203, 476, 271, 267, 2039, 263, 272, 19885, 266, 272, 4297, 2020, 825, 1820, 8266, 320, 17338, 320, 2020, 825, 2132, 692, 3698, 30458, 293, 15635, 7776, 294, 518, 611, 7702, 3799, 17107, 825, 585, 562, 538, 2039, 263, 272, 2073, 562, 1341, 476, 272, 2187, 1038, 952, 562, 4939, 476, 273, 11203, 476, 271, 912, 2018, 6556, 562, 692, 19399, 10310, 2162, 454, 2162, 10790, 2562, 18919, 8582, 454, 19399, 10310, 2162, 692, 6112, 630, 12148, 2187, 825, 1566, 322, 7776, 815, 1292, 3799, 2020, 825, 952, 1566, 322, 7776, 2652, 476, 272, 912, 1038, 1948, 9338, 9898, 2752, 744, 966, 3201, 3036, 16692, 715, 454, 1038, 562, 815, 7369, 320, 301, 630, 333, 994, 1038, 2312, 10797, 825, 8640, 1566, 322, 7776, 2652, 476, 273, 912, 1038, 1948, 717, 2207, 2752, 700, 8780, 288, 2910, 300, 11123, 454, 1038, 30458, 2690, 3799, 994, 1038, 3207, 263, 274, 994, 1038, 2312, 10797, 825, 8640, 1566, 322, 7776, 2652, 476, 274, 912, 1038, 1948, 717, 2207, 2752, 700, 8780, 288, 2910, 300, 30684, 454, 1038, 30458, 24961, 3799, 994, 1038, 3207, 263, 274, 994, 1038, 2312, 10797, 825, 8640, 1566, 322, 7776, 2652, 476, 275, 912, 1038, 1948, 717, 2207, 2752, 700, 8780, 288, 2910, 300, 674, 6579, 9898, 454, 1038, 30458, 23742, 614, 3799, 994, 1038, 3207, 263, 274, 994, 1038, 2312, 10797, 825, 8640, 1566, 322, 7776, 2652, 476, 276, 912, 1038, 1948, 717, 2207, 2752, 700, 8780, 288, 2910, 300, 674, 7419, 383, 485, 12728, 302, 717, 2207, 4696, 3036, 288, 454, 1038, 1592, 2378, 15635, 7776, 294, 518, 611, 7702, 815, 1592, 17338, 320, 293, 15635, 7776, 294, 518, 611, 7702, 3799, 4917, 1038, 1820, 8266, 320, 17338, 2378, 15635, 7776, 294, 518, 611, 7702, 994, 1038, 3207, 263, 274, 994, 1038, 2312, 10797, 825, 8640, 1566, 322, 7776, 2652, 476, 277, 912, 1038, 1948, 661, 10998, 2207, 305, 2752, 11550, 16165, 24717, 454, 1038, 1820, 3488, 5319, 1356, 8681, 334, 513, 4291, 340, 23843, 798, 1982, 320, 1862, 5073, 1038, 3207, 263, 273, 994, 1038, 2312, 4590, 1038, 16718, 10797, 825, 3116, 912, 1038, 1948, 966, 3201, 3036, 5442, 309, 383, 479, 299, 2839, 302, 454, 1038, 1820, 3488, 14707, 924, 19804, 27089, 642, 5451, 331, 18480, 5073, 1038, 3207, 263, 273, 994, 1038, 2312, 3890, 0, 1598, 272, 815, 3403, 2891, 21803, 476, 272, 281, 19515, 1598, 273, 815, 3403, 2891, 21803, 476, 273, 281, 834, 2020, 2745, 2891, 307, 16120, 14833, 13005, 21642, 476, 272, 281, 14307, 7003, 19304, 272, 4917, 2745, 2891, 307, 16120, 14833, 13005, 21642, 476, 273, 281, 14307, 7003, 19304, 273, 11723, 2745, 2891, 21803, 476, 272, 1295, 14243, 338, 1529, 320, 281, 14307, 1193, 272, 31573, 15405, 2745, 2891, 21803, 476, 273, 1295, 14243, 338, 1529, 320, 281, 14307, 1193, 273, 31573, 31156, 2745, 2891, 21803, 476, 272, 900, 544, 2967, 14243, 338, 1529, 320, 281, 14307, 1193, 272, 269, 21639, 15405, 2745, 2891, 21803, 476, 273, 900, 544, 2967, 14243, 338, 1529, 320, 281, 14307, 1193, 273, 269, 21639, 31156, 2745, 2891, 21803, 476, 272, 1654, 332, 1884, 525, 14255, 3921, 655, 620, 325, 629, 18863, 3821, 6446, 513, 476, 273, 286, 2433, 14307, 1193, 272, 2999, 1193, 273, 994, 2745, 2891, 21803, 476, 273, 1654, 332, 1884, 525, 14255, 3921, 655, 620, 325, 629, 18863, 3821, 6446, 513, 476, 272, 286, 2433, 14307, 1193, 273, 2999, 1193, 272, 2020, 2745, 19304, 272, 314, 271, 281, 842, 9230, 6352, 19304, 272, 8358, 273, 4297, 316, 1341, 1193, 273, 27776, 9230, 6352, 19304, 272, 8358, 273, 264, 2567, 20285, 1598, 274, 815, 3403, 2891, 21803, 476, 274, 16948, 1583, 22876, 340, 2784, 320, 13439, 5918, 553, 6305, 597, 553, 12673, 281, 834, 2020, 2745, 2891, 288, 5569, 476, 274, 9087, 328, 679, 4186, 2784, 320, 14255, 5569, 476, 272, 286, 2433, 14307, 1193, 274, 538, 1193, 272, 994, 2745, 2891, 288, 5569, 476, 274, 9087, 328, 679, 4186, 2784, 320, 14255, 5569, 476, 273, 286, 2433, 14307, 1193, 274, 538, 1193, 273, 994, 0, 3698, 3070, 263, 7483, 318, 1504, 2187, 825, 6049, 318, 1504, 31699, 4590, 825, 513, 815, 7003, 263, 7483, 318, 1504, 994, 825, 585, 1775, 538, 2039, 263, 271, 267, 513, 2187, 1038, 585, 795, 538, 2039, 9217, 266, 272, 267, 513, 2187, 2018, 952, 6049, 318, 1504, 5157, 316, 538, 6049, 318, 1504, 14728, 14158, 3546, 2132, 8771, 454, 825, 2132, 6936, 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 ]
[ 1072, 1416, 4876, 282, 7222, 5515, 585, 824, 1973, 543, 1560, 5714, 23927, 941, 476, 1428, 269, 272, 260, 543, 476, 277, 269, 278, 9077, 6606, 269, 16316, 5857, 1186, 7063, 11841, 3928, 941, 476, 276, 269, 272, 829, 476, 1911, 2407, 6066, 6697, 630, 10499, 292, 264, 11923, 543, 476, 272, 269, 271, 829, 476, 1911, 674, 15288, 513, 1938, 269, 6481, 5773, 7700, 547, 5857, 1186, 7063, 941, 7630, 532, 6527, 267, 28720, 9416, 560, 6506, 543, 24933, 560, 6506, 267, 543, 5373, 1973, 269, 4033, 7700, 2188, 941, 5857, 1186, 12871, 267, 3346, 609, 3653, 267, 543, 3461, 7829, 269, 26588, 1186, 609, 3106, 2934, 4749, 941, 711, 1031, 269, 7201, 516, 1636, 532, 540, 5857, 1186, 7063, 547, 519, 9036, 2861, 13178, 1062, 729, 6059, 547, 581, 827, 476, 2004, 10065, 1230, 7501, 269, 26588, 1186, 7063, 543, 824, 1973, 543, 1560, 5714, 23927, 616, 3978, 10898, 585, 1753, 1072, 1416, 11923, 543, 513, 1938, 269, 13724, 906, 538, 9651, 6304, 616, 2877, 269, 20163, 281, 2735, 3445, 272, 6507, 454, 299, 525, 12340, 267, 19846, 331, 918, 5919, 670, 14766, 321, 4669, 267, 7812, 590, 5919, 18681, 267, 29883, 329, 514, 282, 9710, 21032, 267, 8861, 15966, 826, 454, 763, 1353, 6859, 941, 547, 4983, 3978, 7063, 8506, 2564, 3007, 1851, 1453, 945, 2611, 693, 1753, 1310, 513, 1126, 10304, 270, 18876, 8825, 2533, 630, 290, 4916, 264, 28915, 13015, 7634, 538, 519, 2475, 543, 547, 3313, 2436, 1126, 270, 3249, 326, 1853, 4162, 543, 5571, 595, 4916, 9525, 616, 1644, 547, 7063, 8506, 2564, 3007, 269, 4635, 519, 2817, 11752, 540, 4132, 543, 32183, 4270, 5630, 267, 649, 9916, 1239, 593, 519, 7449, 2217, 540, 1453, 945, 7283, 693, 1753, 630, 301, 815, 476, 274, 267, 24496, 1040, 589, 1617, 21725, 26848, 9695, 2203, 3769, 1126, 4162, 267, 5312, 4576, 543, 9659, 538, 519, 1126, 267, 1377, 540, 595, 4916, 9525, 267, 7766, 6536, 1416, 13307, 267, 27877, 4162, 267, 543, 27877, 11721, 13637, 5626, 4632, 269, 20070, 3753, 8506, 2564, 3007, 941, 4857, 538, 476, 1015, 269, 277, 260, 540, 519, 538, 25571, 2551, 936, 513, 1428, 18881, 1974, 267, 609, 1100, 3604, 538, 3928, 676, 2085, 269, 5753, 609, 513, 5312, 2564, 2783, 630, 3036, 815, 476, 273, 269, 5881, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 736, 1700, 274, 269, 6812, 264, 543, 1453, 609, 20158, 15637, 630, 3036, 815, 476, 273, 269, 2764, 282, 476, 4817, 260, 16275, 267, 476, 272, 269, 3393, 1700, 274, 269, 6812, 264, 941, 811, 2693, 547, 723, 606, 5945, 602, 2838, 2564, 1416, 269, 24771, 15637, 630, 285, 7918, 1296, 264, 941, 1447, 2693, 630, 3036, 815, 476, 271, 269, 1428, 282, 476, 4817, 260, 16275, 267, 476, 271, 269, 6734, 1700, 271, 269, 7597, 264, 547, 723, 513, 1126, 609, 606, 5945, 8506, 1416, 269, 20070, 3753, 941, 711, 1644, 547, 2417, 9525, 609, 595, 4916, 1310, 519, 3355, 28915, 13015, 7634, 269, 5753, 609, 5312, 2564, 2175, 945, 7283, 538, 741, 6211, 5321, 610, 4171, 15637, 941, 20158, 941, 2693, 547, 1995, 606, 5945, 8506, 2564, 3007, 269, 24771, 15637, 941, 1447, 2693, 547, 1867, 513, 1126, 5945, 269, 6987, 2056, 4540, 1072, 4507, 585, 6536, 1453, 547, 1453, 945, 2611, 693, 1753, 1739, 29748, 547, 595, 4916, 949, 5000, 811, 3102, 5945, 6604, 585, 713, 2551, 269, 20163, 281, 13975, 279, 8618, 7918, 454, 19723, 8175, 267, 3397, 333, 11726, 338, 282, 4258, 1998, 1512, 267, 589, 454, 2414, 21656, 1753, 543, 16837, 7063, 543, 741, 7525, 4539, 1851, 4079, 9907, 476, 736, 268, 2568, 1296, 543, 547, 1413, 585, 24267, 12632, 540, 5945, 6381, 547, 2708, 519, 7872, 540, 4259, 909, 6604, 3292, 269, 9061, 22891, 5619, 676, 18102, 6192, 593, 519, 8317, 540, 513, 2564, 3643, 1310, 513, 1101, 12558, 540, 9000, 585, 1753, 610, 16837, 5945, 1063, 476, 272, 5130, 543, 476, 4029, 5412, 476, 1960, 278, 1851, 11272, 527, 2946, 632, 5333, 30657, 632, 5333, 630, 3633, 293, 717, 5263, 264, 13781, 540, 1614, 10923, 2127, 630, 5325, 267, 6924, 272, 5520, 1040, 5549, 2064, 543, 3448, 4220, 2687, 547, 3023, 267, 2085, 543, 960, 3446, 543, 513, 17326, 7645, 8760, 540, 5945, 6381, 269, 20640, 4627, 543, 15823, 2185, 7063, 941, 6594, 269, 11485, 729, 6059, 693, 476, 1240, 269, 275, 5945, 9601, 829, 476, 1911, 271, 5520, 267, 540, 799, 476, 1724, 269, 275, 829, 476, 1911, 271, 5520, 941, 1753, 5945, 9601, 543, 476, 274, 269, 278, 16837, 5945, 9601, 269, 634, 1981, 540, 782, 7063, 729, 2362, 1851, 2367, 982, 2021, 630, 305, 305, 284, 272, 269, 274, 264, 543, 8519, 607, 960, 3446, 9782, 281, 585, 2367, 267, 621, 729, 2947, 2053, 2362, 1851, 5665, 5520, 982, 9946, 269, 5564, 573, 7645, 2079, 540, 5945, 6381, 8694, 676, 26084, 883, 2185, 1292, 5049, 799, 949, 581, 3730, 585, 6604, 281, 12202, 543, 798, 32717, 3917, 712, 1345, 7063, 13964, 630, 866, 269, 280, 15992, 4947, 543, 2469, 593, 519, 10754, 630, 277, 269, 280, 15992, 9991, 1247, 4947, 543, 2469, 538, 519, 1753, 593, 519, 24383, 630, 1724, 269, 275, 15992, 543, 798, 32717, 3917, 712, 1345, 3330, 519, 1753, 630, 1724, 269, 271, 22103, 20070, 3753, 13251, 9247, 2185, 2010, 540, 15087, 281, 838, 23230, 630, 4097, 15992, 18655, 630, 4029, 269, 279, 15992, 733, 16272, 630, 2190, 269, 276, 8472, 543, 16398, 269, 634, 1611, 7210, 6122, 1511, 16768, 476, 3953, 269, 272, 2395, 855, 3368, 519, 5396, 8120, 547, 960, 538, 1447, 982, 476, 1704, 2395, 269, 11233, 1436, 729, 2556, 538, 476, 866, 269, 273, 260, 540, 2665, 269, 901, 1353, 6192, 676, 606, 2079, 540, 519, 24040, 2188, 540, 7063, 3366, 721, 547, 15974, 3292, 6322, 693, 4657, 519, 1981, 19326, 1644, 547, 798, 32717, 3917, 712, 1345, 267, 24383, 8813, 543, 12202, 563, 312, 684, 267, 700, 712, 9188, 282, 645, 3421, 267, 9400, 661, 282, 12794, 655, 518, 267, 15623, 589, 282, 12928, 1512, 574, 267, 1744, 13860, 282, 16299, 8657, 267, 700, 19257, 3554, 282, 2494, 11142, 553, 267, 1261, 1430, 282, 670, 3711, 3805, 267, 17363, 808, 282, 5096, 1749, 517, 267, 14880, 808, 454, 7212, 12548, 568, 9228, 607, 513, 2635, 1533, 267, 538, 476, 1001, 271, 267, 476, 1691, 269, 272, 4939, 540, 1453, 9907, 476, 273, 268, 276, 941, 14968, 543, 476, 280, 269, 272, 4939, 941, 17324, 269, 6736, 519, 1164, 9860, 540, 8377, 538, 713, 2551, 267, 2963, 547, 1489, 1880, 2994, 547, 1521, 17324, 23021, 568, 15877, 269, 634, 12117, 540, 1753, 2861, 267, 6689, 8377, 7459, 547, 2569, 513, 1126, 781, 1560, 2527, 4994, 568, 21016, 5477, 269, 1717, 267, 713, 2203, 19918, 2488, 606, 4316, 547, 7747, 543, 26544, 609, 519, 1753, 1426, 543, 2534, 1604, 543, 4497, 519, 3003, 1920, 538, 5009, 2242, 602, 3514, 1142, 1920, 781, 2189, 6384, 269, 4432, 580, 1043, 5171, 616, 1453, 9907, 476, 273, 268, 276, 1296, 945, 13984, 513, 1134, 30512, 1416, 3643, 693, 513, 28631, 2657, 7991, 2657, 6796, 16758, 1369, 476, 1321, 3275, 1991, 547, 19684, 543, 593, 602, 3643, 1185, 513, 1560, 2527, 4994, 630, 289, 11085, 264, 3436, 5952, 628, 30878, 16519, 21943, 269, 19893, 616, 14477, 25945, 693, 1353, 27299, 543, 21248, 547, 519, 6304, 538, 835, 540, 2947, 3989, 476, 277, 18881, 22283, 530, 8354, 4497, 906, 282, 519, 16607, 6304, 2516, 5713, 607, 1852, 2516, 2394, 519, 1376, 540, 519, 6304, 269, 634, 1982, 568, 9447, 676, 513, 3461, 4044, 1807, 693, 519, 1920, 262, 1753, 543, 5161, 540, 513, 476, 1626, 1606, 11970, 6437, 5059, 593, 476, 272, 264, 15970, 6163, 267, 476, 273, 264, 6484, 267, 543, 476, 274, 264, 2168, 2534, 269, 2311, 1142, 3643, 267, 513, 6712, 540, 6437, 568, 9447, 547, 3391, 3237, 543, 1453, 538, 8939, 835, 3804, 585, 2623, 1689, 538, 1142, 540, 1614, 960, 2127, 547, 960, 593, 1282, 519, 1739, 3018, 269, 634, 3119, 1353, 6364, 2268, 568, 1689, 538, 19483, 1990, 1606, 14537, 689, 15977, 547, 2022, 17942, 3685, 1974, 269, 901, 6689, 8377, 1353, 267, 5499, 585, 922, 1753, 2861, 6304, 28379, 267, 2488, 3638, 1239, 1915, 1944, 7496, 543, 4863, 2209, 547, 2635, 2623, 1689, 1369, 519, 1753, 269, 634, 1353, 2551, 568, 5499, 607, 621, 568, 5059, 593, 9251, 27070, 267, 21337, 1453, 689, 1970, 13867, 3885, 282, 713, 2551, 814, 711, 3335, 1044, 6098, 538, 8377, 2359, 10526, 269, 634, 1753, 2861, 6304, 568, 5532, 547, 4791, 1416, 998, 454, 291, 541, 571, 724, 267, 25138, 18007, 660, 872, 282, 853, 718, 2158, 267, 31240, 2335, 282, 8262, 601, 578, 267, 22361, 760, 700, 282, 3223, 1030, 324, 267, 7338, 808, 454, 763, 4070, 2872, 3335, 814, 835, 540, 519, 5207, 14603, 543, 1875, 1922, 7614, 5945, 3928, 3379, 609, 824, 6080, 269, 1763, 7808, 4070, 4600, 616, 693, 1880, 1981, 540, 5945, 630, 1740, 568, 538, 6552, 4609, 609, 1507, 1212, 9749, 267, 972, 616, 1419, 1082, 1016, 4186, 847, 832, 267, 543, 789, 723, 3908, 1569, 547, 3106, 3292, 1040, 30975, 17034, 1344, 1808, 547, 713, 1895, 814, 1500, 1382, 811, 4101, 267, 4061, 267, 972, 616, 1906, 2090, 269, 901, 1353, 11117, 519, 7145, 540, 519, 5851, 306, 12522, 15815, 582, 5358, 267, 513, 3106, 2069, 543, 2866, 1982, 2966, 547, 2569, 7063, 1851, 10821, 4070, 4600, 269, 12824, 11117, 2436, 2949, 543, 4049, 5945, 11841, 3928, 17379, 1282, 519, 6304, 1974, 269, 4578, 941, 9916, 1210, 11841, 3928, 543, 7313, 24480, 9695, 547, 1852, 585, 519, 1198, 540, 24970, 1027, 550, 16712, 7678, 269, 28864, 11841, 3928, 17379, 3648, 1739, 5851, 306, 12522, 282, 2705, 267, 713, 1198, 729, 711, 19250, 1713, 2899, 13796, 8390, 729, 6417, 269, 634, 7771, 538, 5945, 3928, 1739, 5851, 306, 12522, 3112, 581, 11911, 9003, 547, 5851, 306, 12522, 267, 2705, 267, 1982, 15122, 543, 1505, 11043, 7687, 8329, 547, 519, 21016, 5477, 2164, 269, 4329, 1382, 883, 519, 10898, 5185, 676, 10821, 4070, 4600, 568, 2877, 269, 2549, 269, 808, 269, 1473, 269, 2405, 269, 476, 3393, 281, 13975, 268, 24241, 267, 476, 1220, 275, 269, 14645, 476, 1220, 275, 25067, 6441, 1170, 267, 5549, 563, 312, 636, 592, 267, 20717, 3143, 16279, 282, 21025, 514, 26792, 267, 10748, 9445, 454, 2414, 8495, 519, 2937, 5042, 4093, 540, 835, 8957, 2789, 6689, 544, 307, 10292, 543, 547, 4983, 519, 1761, 30661, 540, 519, 4093, 269, 5623, 540, 5778, 338, 17790, 6119, 543, 6413, 5638, 267, 607, 1134, 607, 2146, 19684, 267, 26857, 476, 15433, 5171, 267, 945, 941, 13676, 1063, 6502, 476, 271, 268, 1704, 1296, 543, 12290, 1063, 6502, 476, 1240, 268, 1789, 1296, 609, 693, 2547, 2947, 1296, 2022, 2987, 329, 1722, 269, 3962, 16045, 23384, 513, 1614, 16923, 4879, 269, 1280, 1239, 2079, 267, 5171, 941, 19882, 676, 1826, 543, 1297, 540, 5945, 269, 634, 544, 307, 10292, 1895, 17820, 930, 5042, 22907, 855, 741, 2773, 8593, 1063, 519, 1852, 543, 9793, 270, 572, 3164, 570, 10292, 2516, 607, 4397, 269, 8409, 609, 835, 543, 2789, 544, 307, 10292, 5340, 4086, 2406, 2066, 782, 5042, 11890, 269, 15465, 4093, 941, 3648, 10567, 676, 6059, 21842, 855, 711, 676, 1297, 540, 544, 307, 10292, 543, 2085, 693, 5945, 269, 6736, 519, 9571, 5042, 22907, 267, 1346, 945, 13455, 2789, 544, 307, 10292, 1705, 711, 8858, 8338, 610, 19469, 22907, 3379, 547, 1346, 609, 835, 544, 307, 10292, 563, 306, 3966, 334, 267, 16902, 2224, 653, 2088, 282, 744, 595, 3530, 383, 366, 267, 1325, 612, 663, 549, 282, 18548, 1723, 267, 1656, 16699, 454, 12709, 10913, 616, 835, 540, 519, 2101, 3123, 540, 2669, 267, 3226, 538, 4587, 1004, 267, 1762, 1453, 543, 2021, 269, 634, 1101, 2832, 540, 713, 1353, 729, 547, 2263, 519, 1909, 540, 16148, 3965, 20286, 267, 5042, 8647, 543, 19408, 7180, 607, 30661, 540, 1753, 7063, 7018, 538, 513, 1032, 538, 513, 3732, 540, 2635, 7969, 4587, 4079, 269, 634, 2034, 2832, 729, 547, 8495, 519, 1909, 540, 19408, 7180, 607, 513, 18657, 1807, 538, 519, 2078, 1063, 16148, 543, 6662, 5042, 8647, 543, 1753, 7063, 269, 2290, 4627, 13977, 31644, 2146, 1673, 16946, 4587, 1004, 689, 7013, 7977, 941, 13950, 513, 6007, 540, 4255, 547, 6218, 5042, 8647, 267, 16148, 3965, 20286, 267, 543, 19408, 7180, 1282, 1753, 2238, 269, 20322, 5652, 7180, 729, 11117, 1210, 519, 23582, 29007, 7726, 32666, 267, 2813 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15871, 272, 6769, 825, 711, 320, 284, 15615, 9272, 3488, 11900, 4275, 579, 2742, 711, 320, 630, 333, 14243, 1067, 334, 703, 324, 10098, 2567, 1412, 17903, 825, 952, 711, 320, 11203, 268, 272, 6769, 1038, 30458, 6910, 263, 2254, 320, 3418, 336, 339, 1372, 284, 6352, 17338, 320, 3418, 338, 5448, 284, 8999, 17338, 320, 3418, 332, 2946, 29953, 284, 338, 5448, 270, 336, 339, 1372, 5897, 320, 284, 271, 1477, 659, 9874, 5091, 320, 8548, 2946, 29953, 284, 271, 1477, 659, 9874, 318, 1372, 27133, 324, 284, 271, 1477, 1721, 1775, 538, 30458, 6769, 825, 952, 30458, 314, 320, 316, 285, 332, 2946, 29953, 6769, 1038, 1035, 9874, 5091, 320, 8548, 2946, 29953, 23785, 272, 1477, 825, 952, 30458, 314, 320, 316, 285, 278, 6769, 1038, 1035, 9874, 318, 1372, 27133, 324, 23785, 272, 1477, 825, 513, 23785, 272, 5897, 2745, 3488, 288, 3067, 573, 1228, 632, 1130, 2803, 20527, 632, 281, 3299, 336, 339, 1372, 3418, 2745, 3488, 8253, 553, 815, 3299, 4289, 320, 3418, 4289, 320, 18622, 2091, 14052, 2745, 3488, 8253, 553, 538, 951, 320, 815, 3299, 30458, 3418, 2745, 3488, 288, 1474, 320, 546, 553, 711, 553, 20527, 632, 281, 22207, 338, 5448, 3418, 2745, 3488, 288, 544, 2946, 29953, 546, 553, 711, 553, 20527, 632, 281, 22207, 332, 2946, 29953, 3418, 2745, 3488, 2026, 3067, 573, 1228, 546, 553, 711, 553, 1035, 9874, 13005, 544, 2946, 29953, 20527, 632, 281, 3299, 659, 9874, 5091, 320, 8548, 2946, 29953, 3418, 2745, 3488, 288, 3067, 573, 1228, 546, 553, 711, 553, 1035, 9874, 632, 1305, 324, 20527, 632, 281, 3299, 659, 9874, 318, 1372, 27133, 324, 3418, 2745, 3488, 293, 574, 798, 1982, 320, 20298, 0, 258, 13052, 2207, 290, 383, 491, 5746, 302, 715, 23263, 476, 1839, 910, 700, 8780, 288, 476, 6349, 910, 661, 22552, 7473, 308, 6938, 16692, 667, 4488, 3041, 12728, 302, 1477, 2745, 3488, 303, 1120, 2863, 553, 865, 3691, 19804, 6760, 20298, 2745, 3488, 10310, 5992, 262, 10142, 320, 284, 6358, 3488, 309, 665, 17845, 7658, 325, 517, 537, 16948, 513, 642, 6403, 339, 9874, 286, 630, 306, 21610, 2567, 1412, 3418, 321, 284, 6358, 3488, 309, 665, 17845, 1609, 324, 557, 1100, 2199, 798, 6760, 286, 630, 306, 21610, 2567, 1412, 3418, 322, 284, 6358, 3488, 309, 665, 17845, 2849, 320, 829, 1729, 13005, 642, 6403, 339, 9874, 286, 630, 306, 21610, 2567, 1412, 3418, 323, 284, 6358, 3488, 309, 665, 17845, 1821, 807, 16948, 513, 642, 6403, 339, 9874, 286, 630, 306, 21610, 2567, 1412, 3418, 324, 284, 6358, 3488, 309, 665, 17845, 795, 5451, 911, 4472, 17924, 635, 513, 642, 6403, 339, 9874, 286, 630, 306, 21610, 2567, 1412, 10142, 604, 513, 269, 21639, 3890, 2525, 262, 306, 262, 6769, 825, 513, 284, 272, 1477, 12828, 6769, 825, 513, 284, 271, 1477, 604, 536, 269, 21639, 3890, 2525, 262, 306, 262, 6769, 825, 536, 284, 272, 1477, 12828, 6769, 825, 536, 284, 271, 1477, 604, 524, 269, 21639, 3890, 2525, 262, 306, 262, 6769, 825, 524, 284, 272, 1477, 12828, 6769, 825, 524, 284, 271, 1477, 604, 546, 269, 21639, 3890, 2525, 262, 306, 262, 6769, 825, 546, 284, 272, 1477, 12828, 6769, 825, 546, 284, 271, 1477, 604, 552, 269, 21639, 3890, 2525, 262, 306, 262, 6769, 825, 552, 284, 272, 1477, 12828, 6769, 825, 552, 284, 271, 5897, 338, 5448, 30381, 17070, 25239, 266, 323, 266, 324, 5897, 2745, 4433, 5448, 10142, 604, 1474, 320, 2652, 476, 273, 6769, 825, 1820, 3488, 303, 612, 10394, 12246, 701, 7534, 20298, 19197, 1474, 320, 285, 284, 274, 610, 1474, 320, 27045, 275, 6769, 825, 1820, 3488, 290, 636, 680, 823, 20298, 19197, 1474, 320, 2525, 276, 6769, 825, 1820, 3488, 10112, 817, 3626, 20298, 12828, 6769, 825, 1820, 3488, 1103, 12510, 324, 20298, 5897, 5897, 0, 258, 12327, 2207, 290, 383, 491, 5746, 302, 715, 23263, 476, 2641, 268, 700, 8780, 288, 476, 6734, 910, 661, 22552, 7473, 308, 6938, 16692, 29187, 292, 2316, 383, 485, 12728, 302, 1477, 2745, 28361, 333, 301, 14243, 1067, 334, 10021, 334, 20298, 2745, 3488, 5992, 2971, 315, 333, 20298, 4289, 320, 17342, 273, 267, 274, 267, 276, 267, 278, 267, 1556, 267, 1724, 267, 1704, 15947, 320, 284, 271, 1477, 333, 14243, 1067, 334, 318, 842, 324, 10098, 284, 271, 1477, 6112, 562, 14243, 1067, 334, 318, 842, 324, 10098, 285, 284, 271, 6769, 825, 562, 14243, 1067, 334, 318, 842, 324, 10098, 815, 15615, 9272, 3488, 11900, 4275, 19804, 562, 14243, 1067, 334, 703, 324, 10098, 3436, 271, 281, 1412, 17903, 825, 1247, 562, 14243, 1067, 334, 318, 842, 324, 10098, 256, 284, 842, 3799, 14243, 1067, 334, 318, 842, 324, 10098, 8029, 1038, 1820, 3488, 302, 562, 14243, 1067, 334, 632, 557, 1583, 703, 324, 10098, 20298, 1038, 562, 14243, 1067, 334, 318, 842, 324, 10098, 815, 15615, 9272, 3488, 11900, 4275, 19804, 562, 14243, 1067, 334, 703, 324, 10098, 3436, 271, 281, 1412, 17903, 825, 562, 14243, 1067, 334, 318, 842, 324, 10098, 25507, 3799, 14243, 1067, 334, 318, 842, 324, 10098, 3418, 825, 8954, 2803, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 263, 272, 267, 562, 14243, 1067, 334, 318, 842, 324, 10098, 8029, 1038, 952, 562, 14243, 1067, 334, 318, 842, 324, 10098, 4939, 1775, 2652, 476, 271, 6769, 2018, 8954, 2803, 284, 15965, 529, 2803, 266, 272, 1477, 2018, 952, 8954, 2803, 285, 272, 6769, 3546, 2736, 1477, 825, 952, 8954, 2803, 3436, 476, 272, 6769, 1038, 1820, 2891, 302, 562, 14243, 1067, 334, 562, 14244, 20527, 2215, 334, 14744, 825, 8640, 562, 14243, 1067, 334, 318, 842, 324, 10098, 2652, 476, 272, 6769, 1038, 1820, 2891, 302, 562, 14243, 1067, 334, 562, 14244, 20527, 2215, 334, 14744, 825, 3116, 6769, 1038, 1820, 3488, 302, 562, 14243, 1067, 334, 20527, 2215, 334, 20298, 825, 562, 13960, 318, 550, 2784, 320, 815, 3403, 3488, 291, 3150, 10937, 1202, 518, 597, 856, 549, 562, 14243, 1067, 334, 22829, 21610, 2567, 1412, 1040, 21639, 14052, 825, 1247, 1412, 17928, 8339, 22772, 263, 2617, 320, 318, 550, 2784, 320, 264, 2999, 476, 271, 6769, 1038, 1820, 3488, 14707, 924, 590, 522, 340, 715, 20298, 1038, 562, 13960, 318, 550, 2784, 320, 815, 3403, 3488, 291, 3150, 10937, 1202, 518, 597, 856, 549, 562, 14243, 1067, 334, 22829, 21610, 2567, 1412, 1040, 21639, 14052, 825, 952, 562, 13960, 318, 550, 2784, 320, 2652, 1412, 306, 262, 6769, 1038, 513, 6834, 476, 272, 1477, 825, 3116, 6769, 1038, 2736, 5897, 0, 258, 13052, 2207, 290, 383, 491, 5746, 302, 715, 23263, 476, 1321, 910, 700, 8780, 288, 476, 6349, 910, 661, 22552, 7473, 308, 6938, 16692, 667, 4488, 3041, 12728, 302, 1477, 2745, 3488, 293, 565, 3873, 632, 533, 698, 3512, 334, 20298, 2745, 3488, 10310, 1012, 262, 10142, 1998, 528, 318, 1817, 320, 284, 15615, 9272, 3488, 11900, 4275, 522, 27089, 13005, 3520, 320, 911, 4472, 327, 3385, 281, 681, 259, 1412, 17903, 1817, 553, 4671, 571, 4472, 327, 3385, 284, 15615, 9272, 3488, 11900, 4275, 513, 3067, 573, 1228, 632, 3520, 553, 911, 4472, 17495, 553, 1100, 544, 17845, 338, 281, 1412, 264, 10142, 15680, 5451, 26369, 318, 1962, 19513, 284, 1998, 528, 318, 1817, 320, 265, 1817, 553, 4671, 571, 4472, 327, 3385, 1477, 258, 307, 8475, 320, 798, 6764, 739, 334, 632, 681, 12629, 1477, 604, 2892, 5451, 26369, 318, 1962, 19513, 27045, 12010, 6769, 825, 16843, 284, 271, 1477, 19197, 2892, 5451, 26369, 318, 1962, 19513, 10922, 5611, 271, 6769, 825, 16843, 284, 271, 269, 4962, 1477, 19197, 2892, 5451, 26369, 318, 1962, 19513, 10922, 7742, 271, 6769, 825, 16843, 284, 271, 269, 1015, 1477, 12828, 6769, 825, 16843, 281, 271, 269, 736, 5897, 604, 16843, 3436, 271, 6769, 825, 16843, 272, 284, 7644, 265, 1911, 1477, 12828, 6769, 825, 16843, 272, 8782, 3674, 550, 334, 262, 5897, 2562, 7704, 284, 271, 269, 1015, 1477, 293, 294, 4811, 284, 271, 269, 1556, 5897, 258, 21946, 5451, 26369, 561, 6403, 638, 18480, 267, 14697, 334, 552, 964, 4186, 657, 6769, 604, 16843, 285, 271, 6769, 825, 2892, 5451, 26369, 9078, 1172, 6403, 4777, 284, 15680, 5451, 26369, 318, 1962, 19513, 24179, 15680, 5451, 26369, 318, 1962, 19513, 265, 7644, 266, 15680, 5451, 26369, 318, 1962, 19513, 265, 2562, 7704, 3418, 825, 964, 935, 1729, 318, 7644, 284, 15680, 5451, 26369, 318, 1962, 19513, 265, 7644, 272, 270, 1911, 1477, 825, 2698, 5091, 525, 4186, 657, 14352, 15680, 5451, 26369, 318, 1962, 19513, 265, 7644, 266, 15680, 5451, 26369, 318, 1962, 19513, 265, 2562, 7704, 3418, 12828, 6769, 825, 2892, 5451, 26369, 9078, 1172, 6403, 4777, 815, 2892, 5451, 26369, 318, 1962, 19513, 910, 630, 15680, 5451, 26369, 318, 1962, 19513, 2608, 5442, 7704, 3418, 825, 964, 935, 1729, 318, 7644, 284, 271, 269, 876, 1477, 825, 2698, 5091, 525, 4186, 657, 815, 2892, 5451, 26369, 318, 1962, 19513, 2608, 5442, 7704, 5897, 2745, 3488, 414, 481, 507, 590, 3201, 383, 479, 6020, 302, 19836, 7473, 302, 281, 630, 3299, 1998, 528, 318, 1817, 320, 10086, 265, 3299, 1817, 553, 4671, 571, 4472, 327, 3385, 10086, 264, 2433, 681, 259, 22207, 15680, 5451, 26369, 318, 1962, 19513, 476, 3418, 2745, 3488, 414, 481, 507, 11196, 264, 16843, 567, 630, 3299, 7644, 272, 10086, 259, 264, 23526, 2433, 681, 259, 22207, 9188, 935, 1729, 318, 7644, 476, 3418, 2745, 3488, 414, 481, 507, 11196, 264, 5442, 7704, 630, 3299, 2562, 7704, 265, 1911, 10086, 259, 264, 17264, 2433, 681, 259, 22207, 15680, 5451, 26369, 318, 1962, 19513, 265, 2562, 7704, 3418, 2745, 3488, 414, 481, 507, 674, 294, 4811, 672, 630, 3299, 293, 294, 4811, 265, 1911, 10086, 259, 264, 17264, 2433, 681, 259, 22207, 15680, 5451, 26369, 318, 1962, 19513, 265, 293, 294, 4811, 3418, 2745, 3488, 414, 481, 507, 570, 5588, 3201, 16692, 23370, 25321, 307, 5308, 17264, 2433, 681, 259, 22207, 20135, 5091, 525, 4186, 657, 3418, 2745, 3488, 414, 481, 507, 590, 3201, 383, 479, 6020, 302, 700, 383, 491, 12702, 2839, 302, 3546, 2433, 681, 259, 22207, 15680, 5451, 26369, 9078, 1172, 6403, 4777, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19417, 8548, 23228, 19530, 856, 5286, 318, 19417, 8548, 543, 2638, 952, 519, 3977, 2306, 2631, 27969, 1477, 258, 4463, 568, 2139, 607, 513, 2834, 1592, 5897, 258, 7383, 11885, 1477, 5814, 11885, 607, 5286, 5897, 258, 8073, 513, 11885, 5044, 689, 4463, 18425, 281, 5286, 318, 19417, 18425, 1477, 12639, 318, 19417, 18425, 815, 5286, 15126, 263, 19417, 18425, 10142, 258, 7179, 856, 5286, 318, 19417, 18425, 1477, 2745, 18828, 318, 19417, 18425, 10142, 258, 22417, 5286, 318, 19417, 18425, 547, 544, 281, 5286, 318, 19417, 8548, 1477, 12639, 318, 19417, 8548, 815, 5286, 318, 19417, 18425, 2608, 476, 271, 269, 28276, 275, 5897, 258, 7179, 5286, 318, 19417, 8548, 1477, 2745, 18828, 318, 19417, 8548, 3418, 5897, 18851, 9743, 15297, 1477, 1911, 2473, 303, 1477, 8620, 513, 11885, 5044, 689, 519, 2597, 9078, 321, 1592, 609, 519, 2953, 4559, 269, 25092, 676, 476, 271, 269, 28526, 30020, 547, 979, 689, 6550, 547, 13532, 269, 15188, 519, 4611, 11885, 5044, 607, 5286, 318, 7076, 318, 11899, 23228, 8196, 5286, 318, 19417, 8548, 543, 5286, 318, 7076, 318, 11899, 547, 5173, 519, 19483, 540, 1142, 6345, 269, 2422, 519, 1739, 3830, 6769, 289, 11085, 284, 7076, 263, 11899, 264, 19417, 9852, 264, 273, 1477, 24591, 519, 4611, 11885, 5044, 607, 536, 14741, 23228, 19530, 856, 536, 14741, 27969, 1477, 258, 4463, 543, 2597, 616, 2139, 607, 2834, 8638, 5897, 258, 7383, 11885, 1477, 5814, 11885, 607, 5286, 5897, 258, 8073, 5044, 689, 4463, 18425, 609, 11973, 4559, 281, 5286, 318, 19417, 8548, 1477, 12639, 318, 19417, 8548, 815, 5286, 15126, 263, 19417, 18425, 264, 2608, 476, 271, 269, 28276, 275, 5897, 258, 8073, 5044, 689, 2597, 9078, 321, 609, 11973, 4559, 281, 5286, 318, 7076, 318, 11899, 1477, 12639, 318, 7076, 318, 11899, 815, 5286, 15126, 263, 7076, 9078, 321, 264, 2608, 476, 271, 269, 28526, 30020, 5897, 258, 12433, 519, 19483, 281, 536, 14741, 1477, 321, 14741, 815, 5286, 318, 7076, 318, 11899, 1315, 5286, 318, 19417, 8548, 1262, 273, 5897, 258, 7179, 856, 536, 14741, 1477, 2745, 6357, 14741, 3418, 5897, 18851, 9743, 15297, 1477, 1911, 2473, 303, 1477, 8620, 513, 1630, 18978, 11885, 5044, 281, 519, 3693, 540, 519, 5044, 1058, 581, 6936, 952, 519, 7222, 13836, 6345, 781, 19483, 568, 2630, 476, 2641, 269, 1411, 666, 946, 519, 2999, 11346, 585, 713, 269, 8745, 519, 5044, 1769, 23228, 19530, 519, 5044, 1769, 23228, 19530, 856, 513, 11885, 5044, 609, 519, 22720, 3674, 540, 782, 13836, 5716, 4171, 19483, 568, 2630, 476, 2641, 269, 2422, 1769, 3330, 4009, 23049, 547, 798, 513, 5542, 593, 519, 536, 14741, 5044, 27969, 1477, 258, 4463, 543, 2597, 616, 2139, 607, 513, 2834, 8638, 5897, 258, 7383, 11885, 1477, 5814, 11885, 607, 5286, 5897, 258, 12433, 519, 19483, 281, 536, 14741, 1477, 12639, 318, 19417, 8548, 815, 5286, 15126, 263, 19417, 18425, 264, 2608, 476, 271, 269, 28276, 275, 1477, 12639, 318, 7076, 318, 11899, 815, 5286, 15126, 263, 7076, 9078, 321, 264, 2608, 476, 271, 269, 28526, 30020, 1477, 321, 14741, 815, 5286, 318, 7076, 318, 11899, 1315, 5286, 318, 19417, 8548, 2878, 476, 273, 5897, 258, 8073, 519, 1769, 5044, 1477, 12639, 318, 2775, 8548, 815, 5286, 15126, 263, 2775, 10142, 3269, 3269, 3269, 5897, 5897, 3269, 3269, 3269, 0, 5228, 15259, 1104, 1062, 454, 5228, 24563, 6983, 648, 1104, 9337, 267, 4276, 267, 13214, 454, 5228, 9184, 3634, 1104, 9184, 3634, 692, 935, 333, 815, 4276, 30800, 3698, 1587, 318, 5443, 340, 263, 8063, 2187, 825, 1820, 18692, 12163, 5785, 734, 8894, 15675, 689, 519, 1739, 3681, 912, 314, 272, 316, 547, 2132, 547, 1292, 10624, 454, 314, 273, 316, 547, 1397, 2472, 454, 314, 274, 316, 547, 1039, 1007, 1587, 454, 314, 275, 316, 547, 9337, 1587, 454, 314, 276, 316, 547, 18419, 1587, 454, 5785, 734, 8894, 12163, 825, 12467, 825, 1533, 9131, 28237, 11172, 815, 13214, 263, 935, 333, 267, 535, 257, 10345, 22268, 2608, 20978, 1587, 5602, 825, 3903, 815, 703, 9272, 19629, 333, 11767, 513, 5542, 14826, 257, 4297, 910, 476, 272, 454, 825, 1062, 3488, 27234, 5073, 825, 952, 3903, 2652, 476, 271, 912, 1038, 1780, 22562, 825, 8640, 3903, 2652, 476, 272, 912, 1038, 1062, 3488, 27234, 5073, 1038, 1397, 7272, 20094, 263, 8063, 994, 1038, 1587, 318, 5443, 340, 263, 8063, 994, 13872, 13872, 825, 8640, 3903, 2652, 476, 273, 912, 1038, 1062, 3488, 27234, 5073, 1038, 6221, 267, 3902, 815, 1205, 318, 2908, 7272, 6055, 4590, 1038, 2119, 912, 2018, 1948, 1039, 7272, 6055, 6831, 5995, 263, 8063, 267, 6221, 267, 3902, 994, 2018, 1039, 7272, 6055, 5091, 321, 263, 14403, 267, 3902, 267, 598, 333, 994, 1038, 4849, 912, 2018, 1820, 2891, 293, 9229, 547, 1039, 1587, 5602, 1038, 1062, 3488, 27234, 5073, 1038, 1587, 318, 5443, 340, 263, 8063, 994, 13872, 825, 8640, 3903, 2652, 476, 274, 912, 1038, 1062, 3488, 27234, 5073, 1038, 2119, 912, 2018, 9337, 7272, 6055, 263, 8063, 267, 2824, 7272, 6055, 994, 1038, 4849, 1401, 4003, 607, 552, 912, 2018, 1820, 2891, 293, 9229, 547, 9337, 1587, 5602, 13872, 1038, 1587, 318, 5443, 340, 263, 8063, 994, 27030, 825, 8640, 3903, 2652, 476, 275, 912, 13872, 1038, 2119, 912, 2018, 18419, 7272, 6055, 263, 8063, 994, 1038, 4849, 912, 2018, 1820, 2891, 293, 9229, 547, 18419, 1587, 5602, 1038, 1062, 3488, 27234, 5073, 1038, 1587, 318, 5443, 340, 263, 8063, 2020, 692, 3698, 1397, 7272, 20094, 263, 8063, 2187, 825, 1533, 9131, 28237, 11172, 815, 13214, 263, 935, 333, 267, 535, 257, 10345, 22268, 2608, 20978, 1587, 5602, 825, 1820, 6025, 629, 3634, 263, 8063, 9131, 28237, 28710, 2212, 619, 6889, 12399, 2580, 1397, 8161, 18989, 267, 3349, 325, 31198, 6889, 325, 3599, 14682, 5090, 27363, 672, 692, 3698, 1205, 318, 2908, 7272, 6055, 10031, 825, 6221, 815, 3403, 2891, 11767, 6221, 2012, 281, 19515, 825, 3902, 815, 10581, 9272, 2891, 11767, 3902, 281, 27328, 825, 2132, 6221, 267, 3902, 692, 3698, 1039, 7272, 6055, 6831, 5995, 263, 8063, 267, 6221, 267, 3902, 2187, 825, 1587, 815, 2715, 257, 4067, 9899, 14403, 267, 834, 23748, 9899, 23748, 8679, 825, 1533, 14277, 28237, 257, 4940, 6572, 9638, 6055, 2020, 3698, 1039, 7272, 6055, 5091, 321, 263, 14403, 267, 3902, 267, 598, 333, 2187, 825, 9337, 263, 935, 333, 267, 535, 257, 27486, 12224, 5442, 15674, 1587, 630, 4067, 267, 23748, 264, 966, 3201, 308, 2464, 18011, 346, 14403, 348, 3299, 346, 23748, 348, 5148, 5602, 672, 692, 3698, 2824, 7272, 6055, 263, 8063, 2187, 825, 1820, 6025, 629, 3634, 263, 8063, 9131, 28237, 28710, 2212, 619, 6889, 12399, 2580, 1397, 8161, 18989, 267, 3349, 325, 31198, 6889, 325, 3599, 14682, 5090, 27363, 825, 4994, 815, 703, 9272, 2891, 13911, 4994, 547, 9337, 610, 4283, 547, 18178, 281, 27328, 825, 2132, 4994, 692, 3698, 9337, 7272, 6055, 263, 8063, 267, 2824, 7272, 6055, 2187, 825, 4994, 815, 2824, 7272, 6055, 263, 8063, 994, 825, 1007, 12173, 815, 3403, 2891, 11767, 1007, 2012, 281, 834, 1040, 29328, 14061, 12294, 14061, 27583, 4590, 825, 1007, 318, 23748, 815, 10581, 9272, 2891, 11767, 1007, 3902, 27328, 825, 2025, 12173, 815, 1533, 14277, 28237, 257, 6012, 8161, 6012, 257, 4067, 31116, 825, 1533, 14277, 28237, 257, 6012, 8161, 6012, 257, 4067, 19312, 815, 1007, 12173, 454, 825, 1533, 14277, 28237, 257, 6012, 8161, 6012, 257, 23748, 19312, 815, 1007, 318, 23748, 454, 825, 9337, 263, 935, 333, 267, 535, 257, 308, 11520, 12442, 1587, 590, 4953, 2012, 815, 1412, 346, 2908, 12173, 348, 3299, 3902, 815, 2715, 2908, 318, 23748, 348, 18040, 16730, 2012, 815, 1412, 346, 1245, 12173, 348, 262, 257, 9239, 3698, 18419, 7272, 6055, 263, 8063, 2187, 825, 4994, 815, 2824, 7272, 6055, 263, 8063, 994, 825, 547, 318, 1372, 8541, 815, 1533, 14277, 28237, 257, 6012, 8161, 6012, 257, 4067, 31116, 825, 1533, 14277, 28237, 257, 4940, 24525, 263, 8063, 14277, 28237, 257, 6012, 8161, 7481, 825, 9337, 263, 935, 333, 267, 535, 257, 14701, 4041, 15288, 20978, 1587, 18040, 16730, 2012, 815, 1412, 346, 1729, 318, 1372, 8541, 348, 262, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5915, 11561, 340, 921, 18258, 692, 339, 335, 815, 630, 272, 267, 273, 267, 274, 994, 2745, 263, 7003, 6025, 335, 264, 12467, 2745, 263, 512, 335, 314, 271, 316, 12467, 2745, 263, 512, 335, 314, 272, 316, 25589, 258, 17432, 357, 424, 486, 502, 423, 354, 376, 10563, 510, 499, 14602, 502, 454, 3698, 18287, 5416, 14720, 2187, 825, 2132, 513, 17070, 267, 513, 265, 321, 692, 258, 17432, 357, 424, 486, 502, 423, 354, 376, 29030, 502, 372, 424, 370, 506, 454, 258, 423, 498, 498, 423, 366, 482, 422, 373, 483, 17432, 510, 14091, 499, 490, 10563, 353, 495, 424, 356, 478, 32510, 494, 16360, 516, 752, 8672, 994, 14310, 815, 18287, 263, 276, 267, 277, 994, 2745, 31114, 2020, 2745, 2891, 573, 281, 4939, 338, 267, 2012, 281, 4939, 338, 257, 4939, 9497, 330, 574, 2580, 834, 422, 373, 478, 424, 506, 510, 424, 489, 510, 8442, 2020, 258, 425, 502, 499, 424, 489, 507, 14602, 482, 14091, 367, 478, 425, 503, 502, 17432, 510, 14091, 499, 490, 454, 320, 815, 1305, 9230, 272, 267, 273, 267, 274, 4917, 2745, 5416, 994, 2745, 263, 6943, 5416, 4917, 321, 815, 1592, 5416, 994, 2745, 6357, 994, 321, 6910, 263, 275, 994, 322, 815, 24042, 6357, 994, 2745, 6262, 994, 2745, 263, 6943, 6262, 4917, 0, 258, 1362, 273, 18258, 454, 258, 425, 479, 368, 423, 508, 502, 424, 488, 353, 423, 354, 376, 10563, 510, 499, 14602, 502, 454, 5035, 12287, 912, 825, 1948, 425, 479, 368, 423, 508, 502, 424, 488, 353, 29306, 494, 424, 482, 506, 10563, 484, 490, 424, 484, 491, 423, 494, 506, 14091, 358, 353, 423, 366, 482, 423, 367, 478, 424, 486, 502, 454, 825, 1003, 7272, 3205, 815, 476, 271, 454, 825, 1948, 424, 481, 507, 424, 482, 365, 28990, 494, 14091, 358, 498, 424, 482, 506, 423, 497, 506, 263, 424, 368, 486, 422, 372, 364, 425, 503, 498, 14091, 489, 368, 21498, 373, 994, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 20508, 815, 834, 29239, 2012, 4840, 1038, 12287, 8542, 636, 7272, 3205, 6834, 476, 272, 454, 825, 1948, 14602, 372, 424, 488, 353, 425, 482, 368, 424, 488, 353, 14091, 358, 498, 424, 482, 506, 423, 497, 506, 454, 825, 1219, 1820, 4311, 2187, 1038, 1820, 2891, 7069, 2012, 568, 2715, 271, 348, 2668, 8971, 4311, 20508, 11723, 258, 14602, 372, 424, 488, 353, 425, 482, 368, 424, 488, 353, 263, 423, 367, 369, 424, 480, 361, 423, 367, 372, 10563, 481, 507, 424, 482, 365, 994, 335, 272, 815, 12287, 4590, 335, 273, 815, 12287, 4590, 335, 274, 815, 12287, 10797, 2745, 2891, 14602, 372, 424, 488, 353, 425, 482, 368, 424, 488, 353, 21844, 364, 363, 424, 486, 502, 24333, 12287, 8542, 636, 7272, 3205, 2020, 258, 423, 509, 364, 425, 481, 478, 28990, 482, 263, 424, 377, 498, 423, 497, 506, 10563, 489, 353, 425, 500, 487, 424, 353, 495, 264, 567, 1923, 476, 14091, 498, 498, 28990, 494, 14602, 372, 425, 481, 478, 28990, 483, 263, 424, 377, 498, 423, 498, 358, 424, 353, 495, 994, 258, 423, 509, 364, 425, 481, 478, 28990, 482, 29306, 494, 14091, 367, 478, 424, 486, 502, 423, 354, 376, 10563, 370, 498, 32174, 478, 263, 423, 493, 503, 32510, 479, 29030, 502, 499, 424, 489, 507, 14602, 502, 10563, 500, 372, 424, 500, 368, 994, 31094, 26644, 815, 834, 2908, 2140, 4840, 2745, 263, 533, 272, 26644, 12467, 2745, 263, 533, 273, 26644, 12467, 2745, 263, 12287, 26644, 12467, 258, 27338, 423, 366, 486, 29306, 494, 32629, 498, 10563, 507, 372, 424, 488, 353, 425, 482, 368, 424, 488, 353, 29306, 494, 10563, 370, 498, 32174, 478, 454, 335, 272, 269, 720, 815, 476, 1789, 454, 2745, 263, 533, 272, 269, 720, 12467, 28744, 263, 533, 273, 269, 720, 12467, 0, 3698, 4159, 32317, 9852, 1170, 539, 4131, 1562, 267, 2953, 4131, 1562, 267, 5728, 17504, 2187, 825, 1948, 10525, 519, 1577, 5052, 29921, 543, 1025, 3471, 2451, 454, 825, 1820, 3488, 29309, 539, 5022, 281, 3299, 1439, 6889, 19515, 825, 585, 4484, 538, 14406, 4131, 1562, 912, 1038, 1820, 263, 12072, 267, 1439, 6889, 19515, 825, 1820, 10797, 825, 1025, 3471, 815, 1412, 318, 262, 2608, 7003, 263, 572, 4038, 17504, 2020, 825, 585, 1775, 538, 2039, 12759, 263, 572, 4038, 17504, 15892, 1038, 1948, 29799, 1025, 3471, 609, 7157, 31665, 5022, 563, 1038, 952, 5728, 17504, 5157, 316, 538, 2953, 4131, 1562, 912, 2018, 1025, 3471, 815, 1025, 3471, 11468, 328, 316, 1341, 5728, 17504, 5157, 316, 1341, 1025, 3471, 5157, 266, 272, 281, 6540, 825, 585, 4484, 538, 1025, 3471, 912, 1038, 1948, 8058, 519, 5728, 2262, 609, 5624, 538, 1063, 1142, 4484, 563, 1038, 1820, 263, 12072, 267, 1439, 6889, 19515, 825, 1820, 4590, 0, 258, 19923, 691, 334, 281, 11511, 541, 19448, 804, 848, 6446, 11863, 320, 4223, 878, 3121, 598, 3288, 521, 580, 340, 1304, 324, 1217, 24265, 454, 258, 3040, 453, 2275, 6759, 323, 15282, 1319, 878, 3121, 454, 258, 3040, 453, 5991, 558, 3691, 1264, 339, 657, 454, 258, 3040, 453, 5937, 790, 764, 18059, 454, 258, 3040, 453, 6874, 601, 2946, 325, 517, 334, 454, 258, 3040, 453, 10501, 810, 3097, 258, 910, 453, 5719, 828, 5451, 1483, 714, 541, 1714, 4020, 528, 632, 3288, 804, 848, 563, 258, 910, 453, 14976, 544, 18863, 29081, 632, 1202, 322, 8692, 857, 11252, 454, 258, 910, 453, 14976, 544, 18863, 29081, 632, 5077, 320, 454, 258, 910, 453, 14976, 544, 18863, 29081, 632, 5154, 514, 24265, 632, 3288, 1319, 878, 3121, 563, 692, 1721, 1775, 538, 2039, 263, 273, 2187, 825, 1362, 4223, 878, 3121, 912, 1038, 1219, 6449, 8181, 9191, 1345, 267, 1319, 878, 3121, 267, 9930, 3691, 267, 546, 597, 13440, 542, 267, 7658, 325, 517, 334, 267, 1225, 810, 2187, 2018, 1582, 14857, 3901, 878, 3121, 815, 3403, 2891, 532, 516, 572, 1714, 1003, 3266, 632, 1319, 878, 3121, 2433, 19515, 2018, 1319, 878, 3121, 284, 3901, 878, 3121, 454, 2018, 1582, 14857, 333, 558, 3691, 815, 3403, 2891, 532, 516, 572, 647, 562, 4861, 637, 2433, 19515, 2018, 9930, 3691, 284, 333, 558, 3691, 454, 2018, 1582, 14857, 323, 597, 13440, 542, 815, 3403, 2891, 532, 516, 572, 647, 546, 597, 13440, 542, 2433, 19515, 2018, 546, 597, 13440, 542, 284, 323, 597, 13440, 542, 454, 2018, 1582, 14857, 974, 548, 325, 517, 334, 815, 3403, 2891, 532, 516, 572, 647, 7658, 325, 517, 334, 2433, 19515, 2018, 7658, 325, 517, 334, 815, 7658, 325, 517, 334, 3097, 2018, 1582, 14857, 2017, 810, 815, 476, 3403, 2891, 532, 516, 572, 1714, 9930, 3691, 1642, 1225, 810, 2433, 19515, 2018, 1225, 810, 284, 2017, 810, 692, 1038, 1219, 1205, 318, 3901, 878, 3121, 4311, 2187, 3546, 2132, 1582, 14857, 3901, 878, 3121, 2018, 454, 1038, 1219, 1305, 318, 3901, 878, 3121, 4311, 267, 1319, 878, 3121, 2187, 2018, 1582, 14857, 3901, 878, 3121, 815, 1319, 878, 3121, 7531, 1038, 1219, 1205, 5332, 558, 3691, 4311, 2187, 3546, 2132, 1582, 14857, 333, 558, 3691, 2018, 454, 1038, 1219, 1305, 5332, 558, 3691, 4311, 267, 9930, 3691, 2187, 2018, 1582, 14857, 333, 558, 3691, 815, 9930, 3691, 692, 1038, 1219, 1205, 5091, 597, 13440, 542, 4311, 2187, 3546, 2132, 1582, 14857, 323, 597, 13440, 542, 2018, 454, 1038, 1219, 1305, 5091, 597, 13440, 542, 4311, 267, 546, 597, 13440, 542, 2187, 2018, 1582, 14857, 323, 597, 13440, 542, 815, 546, 597, 13440, 542, 692, 1038, 1219, 1205, 318, 974, 548, 325, 517, 334, 4311, 2187, 3546, 2132, 1582, 14857, 974, 548, 325, 517, 334, 2018, 454, 1038, 1219, 1305, 318, 974, 548, 325, 517, 334, 4311, 267, 7658, 325, 517, 334, 2187, 2018, 1582, 14857, 974, 548, 325, 517, 334, 815, 7658, 325, 517, 334, 692, 1038, 1219, 1205, 318, 2017, 810, 4311, 2187, 3546, 2132, 1582, 14857, 2017, 810, 2018, 454, 1038, 1219, 1305, 318, 2017, 810, 4311, 267, 1225, 810, 2187, 2018, 1582, 14857, 2017, 810, 815, 1225, 810, 454, 2745, 4590, 335, 272, 815, 4223, 878, 3121, 2891, 14824, 14824, 14824, 14824, 5602, 2745, 4590, 2745, 3488, 955, 268, 291, 520, 657, 1642, 620, 4379, 334, 476, 9339, 5073, 2745, 4590, 2745, 2891, 19617, 3266, 632, 1319, 878, 3121, 2433, 834, 266, 335, 272, 10947, 318, 3901, 878, 3121, 15405, 2745, 2891, 301, 558, 3691, 1642, 620, 4379, 334, 2433, 476, 834, 266, 335, 272, 10947, 5332, 558, 3691, 15405, 2745, 2891, 291, 597, 13440, 542, 1642, 620, 4379, 334, 2433, 476, 834, 1341, 533, 272, 10947, 5091, 597, 13440, 542, 15405, 2745, 2891, 5938, 548, 325, 517, 334, 1642, 620, 4379, 334, 2433, 476, 834, 1341, 533, 272, 10947, 318, 974, 548, 325, 517, 334, 15405, 2745, 2891, 15307, 320, 679, 1714, 1225, 810, 2433, 476, 834, 1341, 533, 272, 10947, 318, 2017, 810, 15405, 672, 7531, 16875, 0, 12163, 25284, 547, 22417, 27252, 547, 23030, 267, 4239, 531, 543, 1261, 343, 1228, 31565, 454, 12163, 5814, 19523, 692, 5035, 8827, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 20657, 2711, 2187, 1038, 1582, 14857, 20657, 2711, 815, 8918, 454, 825, 1219, 547, 289, 2435, 4311, 2187, 1038, 2132, 535, 257, 289, 2435, 540, 2715, 1345, 14857, 20657, 2711, 348, 910, 834, 266, 16535, 4311, 14857, 20657, 2711, 25011, 273, 281, 2639, 825, 1219, 547, 12914, 531, 4311, 2187, 1038, 2132, 535, 257, 12914, 531, 540, 2715, 1345, 14857, 20657, 2711, 348, 910, 834, 266, 24934, 4311, 14857, 20657, 2711, 25011, 273, 281, 2639, 825, 1219, 547, 295, 1410, 1228, 31565, 4311, 2187, 1038, 2132, 535, 257, 295, 1410, 320, 13356, 2711, 540, 2715, 1345, 14857, 20657, 2711, 348, 910, 834, 266, 28411, 4311, 14857, 20657, 2711, 25011, 273, 281, 6540, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 8918, 815, 19523, 27769, 341, 314, 272, 6540, 825, 521, 815, 8827, 263, 20657, 2711, 25507, 263, 20657, 2711, 4917, 825, 1820, 4433, 30419, 289, 2435, 15405, 825, 1820, 4433, 30419, 12914, 531, 15405, 825, 1820, 4433, 30419, 295, 1410, 1228, 31565, 31156, 12163, 8333, 663, 7412, 14803, 826, 618, 912, 825, 7510, 11644, 268, 276, 18258, 2999, 6358, 11417, 1122, 912, 825, 7510, 11644, 268, 276, 18258, 476, 275, 454, 18851, 0, 720, 815, 3403, 2891, 290, 340, 656, 657, 513, 10722, 657, 512, 1329, 525, 286, 19515, 2908, 318, 720, 815, 703, 263, 720, 264, 1341, 476, 1556, 692, 2745, 2891, 300, 328, 1196, 611, 1965, 281, 15079, 2668, 8971, 28956, 318, 720, 264, 9239, 258, 14343, 955, 268, 700, 8780, 476, 32458, 19030, 12047, 334, 8217, 815, 1496, 272, 267, 834, 31435, 2580, 476, 272, 269, 4097, 267, 6936, 267, 314, 272, 267, 273, 267, 274, 267, 275, 316, 6540, 3712, 832, 815, 22373, 1042, 2580, 834, 13582, 2580, 834, 19990, 257, 6540, 11133, 1499, 8217, 815, 1592, 9230, 272, 267, 273, 267, 274, 267, 275, 4917, 28744, 3799, 13246, 8217, 2020, 337, 815, 1592, 263, 9792, 263, 272, 267, 1015, 4917, 2745, 16868, 2020, 3712, 832, 6910, 2891, 341, 14489, 15419, 3712, 832, 31699, 10797, 3712, 832, 269, 2169, 754, 263, 2891, 18872, 14824, 335, 1074, 8442, 2020, 3712, 832, 21014, 18692, 3712, 832, 28827, 4590, 994, 0, 258, 288, 5493, 785, 668, 545, 1297, 14509, 519, 1482, 1312, 2081, 269, 634, 4102, 5493, 30308, 1500, 689, 519, 1587, 540, 1079, 476, 273, 18251, 2338, 568, 476, 12010, 280, 815, 476, 11011, 6398, 476, 4200, 23228, 258, 8340, 519, 4102, 5493, 30308, 1500, 689, 519, 1587, 540, 1079, 476, 274, 18251, 2338, 23228, 258, 3528, 2549, 541, 808, 553, 16808, 553, 545, 5897, 258, 3832, 4242, 952, 703, 568, 5493, 785, 668, 1477, 3698, 568, 7272, 531, 785, 668, 3799, 8029, 825, 15981, 263, 15893, 9984, 285, 321, 944, 18257, 1477, 825, 2132, 1193, 3799, 264, 2652, 1193, 3799, 264, 11468, 18737, 272, 316, 5897, 3698, 4102, 7272, 531, 785, 668, 28399, 825, 15981, 263, 15893, 9984, 285, 842, 18257, 1477, 825, 1948, 1962, 1393, 3196, 1259, 267, 1869, 688, 341, 333, 1405, 23125, 856, 513, 811, 3608, 3070, 1477, 825, 4102, 7272, 16433, 815, 476, 271, 1477, 825, 585, 1775, 538, 2039, 263, 15886, 267, 476, 8517, 267, 910, 272, 8029, 1038, 585, 795, 538, 2039, 263, 15886, 267, 476, 8517, 267, 910, 272, 8029, 2018, 952, 568, 7272, 531, 785, 668, 9217, 2608, 795, 8029, 3546, 952, 630, 328, 265, 329 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4415, 8093, 10173, 6385, 15723, 1154, 543, 938, 1648, 7569, 9750, 1142, 1554, 267, 519, 1152, 1935, 547, 2232, 1346, 7569, 1247, 1447, 2287, 519, 1981, 540, 2347, 25874, 540, 519, 1875, 3146, 2908, 762, 2200, 568, 547, 18992, 547, 2973, 1648, 2959, 267, 519, 20923, 540, 799, 568, 3859, 1379, 563, 23530, 8440, 2445, 3859, 1648, 543, 946, 25675, 2281, 547, 6460, 621, 547, 5201, 269, 589, 3859, 1648, 1062, 19329, 519, 8440, 547, 10244, 3859, 1379, 538, 1931, 547, 7001, 3859, 1648, 14013, 563, 2005, 849, 14122, 519, 10380, 540, 606, 28860, 610, 513, 6007, 269, 4595, 811, 7943, 786, 581, 3015, 267, 621, 786, 1267, 538, 519, 5108, 540, 2799, 1379, 563, 305, 5622, 1111, 641, 3859, 8440, 666, 1332, 3037, 539, 936, 942, 607, 513, 1267, 540, 519, 13250, 540, 7452, 543, 17694, 269, 1306, 513, 3210, 267, 3859, 8470, 5826, 568, 2556, 547, 2327, 922, 7607, 543, 15325, 616, 8476, 563, 8368, 540, 12474, 912, 3963, 568, 621, 7533, 547, 2226, 3859, 8440, 888, 23530, 8470, 1949, 616, 1279, 18835, 543, 3747, 1697, 267, 12905, 3859, 8470, 5826, 269, 2201, 519, 824, 2427, 267, 6296, 2638, 13522, 786, 4688, 596, 2724, 538, 519, 1279, 2196, 676, 5732, 7303, 7199, 18203, 543, 5329, 707, 8440, 3168, 9985, 2973, 543, 26124, 563, 268, 6744, 532, 540, 3859, 1648, 1949, 2115, 547, 581, 2944, 12212, 269, 634, 909, 18141, 540, 519, 8440, 568, 711, 513, 24735, 2816, 563, 268, 9122, 593, 1896, 8579, 9382, 267, 3859, 8440, 262, 7607, 10607, 952, 789, 616, 18113, 9738, 269, 27686, 543, 1425, 6005, 707, 8440, 786, 3986, 741, 2949, 10342, 269, 9122, 593, 1896, 8579, 9382, 267, 3859, 8440, 262, 7607, 10607, 952, 789, 616, 18113, 9738, 269, 27686, 543, 1425, 6005, 707, 8440, 786, 3986, 741, 2949, 10342, 563, 1432, 1281, 621, 5815, 950, 649, 3277, 547, 519, 4398, 540, 3859, 8440, 888, 2691, 649, 1865, 3859, 8470, 4398, 267, 649, 2811, 7231, 4481, 827, 912, 268, 29740, 2987, 1648, 7503, 12588, 540, 3859, 8440, 563, 268, 634, 2179, 540, 1648, 2556, 538, 1931, 547, 3035, 519, 5021, 1648, 3977, 563, 763, 3859, 8470, 781, 3710, 2987, 1648, 7503, 12346, 7357, 593, 519, 3859, 8470, 3294, 563, 2026, 513, 12343, 267, 621, 781, 16122, 547, 1832, 707, 3859, 8440, 538, 3501, 2324, 1931, 547, 3035, 5021, 7145, 563, 12234, 267, 1699, 3859, 8440, 616, 5402, 22041, 585, 1279, 3856, 2298, 543, 15006, 267, 5812, 2773, 267, 543, 2799, 15325, 269, 16480, 267, 1034, 3859, 8470, 4966, 5227, 602, 621, 581, 8499, 1202, 4624, 543, 19345, 5781, 585, 4824, 5826, 543, 513, 3476, 10715, 563, 763, 1739, 7840, 948, 596, 1205, 519, 1034, 856, 540, 707, 25675, 14249, 563, 19522, 543, 5796, 585, 21924, 707, 3859, 8440, 3977, 1377, 454, 2691, 621, 2501, 547, 2029, 7760, 543, 1382, 267, 3859, 8440, 616, 8236, 5458, 26058, 269, 1284, 2811, 7683, 4947, 909, 609, 5499, 3859, 8470, 5826, 2409, 547, 2333, 519, 4398, 543, 7145, 540, 8440, 563, 2304, 2810, 1297, 540, 5561, 616, 1210, 3859, 8440, 269, 1717, 267, 930, 1004, 616, 711, 3257, 4376, 547, 948, 1832, 741, 3859, 8440, 607, 11327, 607, 1761, 1282, 741, 3076, 564, 1307, 563, 3519, 8019, 267, 741, 8440, 5749, 1405, 23478, 607, 1454, 1379, 607, 789, 5732, 616, 563, 31714, 666, 1685, 513, 2039, 540, 1919, 547, 1832, 741, 3859, 8440, 538, 3501, 2324, 1931, 563, 23530, 8440, 1058, 711, 581, 17479, 538, 4025, 602, 616, 14692, 539, 563, 10303, 3859, 8440, 3132, 5201, 689, 6640, 24106, 267, 621, 781, 1152, 10257, 602, 12094, 20427, 6971, 519, 2179, 540, 5201, 6383, 563, 6624, 6800, 267, 2705, 267, 616, 21933, 643, 1190, 540, 519, 6286, 540, 12094, 593, 513, 1899, 540, 3859, 8440, 563, 10214, 513, 2582, 26484, 3859, 1591, 1223, 723, 29854, 593, 519, 1648, 6383, 676, 922, 10450, 269, 901, 568, 30289, 547, 519, 1249, 602, 621, 1568, 899, 513, 19919, 563, 24066, 6672, 540, 519, 3859, 8440, 593, 513, 2834, 4493, 454, 763, 1034, 8037, 4183, 596, 666, 798, 547, 2226, 707, 3859, 10380, 538, 5386, 2783, 568, 547, 8524, 873, 593, 513, 3586, 4493, 5402, 269, 898, 781, 606, 10995, 4640, 547, 11617, 8524, 707, 3859, 8440, 693, 2673, 3845, 593, 513, 7928, 6296, 563, 1607, 568, 8045, 547, 2226, 602, 596, 798, 711, 6336, 1379, 19962, 547, 519, 13250, 540, 13897, 610, 3529, 11935, 563, 2026, 513, 12343, 267, 5464, 519, 27194, 4441, 540, 707, 3859, 8440, 6763, 547, 2601, 269, 1411, 1590, 2708, 873, 593, 513, 21230, 2834, 4493, 547, 1294, 2436, 789, 991, 547, 581, 1425, 5367, 563, 13014, 2386, 707, 3859, 8440, 616, 2973, 563, 23530, 8440, 28173, 8766, 5826, 6236, 789, 798, 711, 723, 1022, 3001, 3334, 563, 4913, 267, 621, 781, 513, 8797, 2259, 547, 2973, 572, 707, 3859, 8440, 593, 513, 7928, 4493, 1317, 7452, 543, 11935, 666, 18645, 909, 593, 519, 2627, 543, 6175, 7145, 269, 1411, 666, 2965, 2973, 707, 3859, 8440, 609, 519, 1898, 3334, 912, 268, 1677, 9004, 20203, 543, 6777, 267, 2308, 513, 6978, 9514, 518, 563, 268, 4635, 513, 25652, 267, 2285, 621, 513, 9488, 27125, 454, 268, 589, 17890, 15393, 585, 16150, 532, 519, 13897, 689, 519, 3330, 563, 268, 22034, 561, 8123, 342, 1301, 1216, 267, 10936, 707, 8440, 454, 268, 27686, 4908, 568, 711, 13387, 267, 610, 875, 1419, 596, 2973, 572, 707, 3859, 10380, 568, 6766, 5631, 676, 741, 1648, 4390, 563, 268, 7581, 753, 532, 873, 811, 21237, 607, 789, 1205, 4587, 786, 1832, 873, 1863, 540, 11935, 267, 13897, 267, 543, 1978, 824, 6188, 15297, 563, 2691, 3843, 547, 2973, 707, 3859, 8440, 267, 519, 1883, 3364, 547, 3314, 568, 547, 7413, 8840, 519, 4837, 267, 607, 713, 786, 6615, 519, 21774, 540, 7943, 547, 519, 3859, 2281, 1198, 532, 741, 7607, 563, 5353, 3164, 4365, 2175, 7399, 454, 763, 5318, 13557, 540, 3859, 8440, 568, 22041, 547, 5706, 782, 12204, 540, 4365, 269, 16661, 2175, 3810, 3310, 519, 4398, 540, 3859, 8440, 269, 16176, 543, 30339, 616, 13542, 727, 2609, 602, 21372, 3859, 8440, 267, 4352, 711, 547, 519, 1448, 540, 7357, 9505, 1154, 873, 1524, 454, 2691, 519, 2837, 6172, 2125, 1657, 476, 3445, 5232, 267, 519, 2949, 2773, 540, 519, 8440, 23229, 676, 827, 476, 272, 260, 1169, 4110, 269, 1717, 267, 596, 666, 3970, 621, 676, 14178, 873, 513, 1906, 6279, 1657, 519, 2666, 610, 8122, 269, 898, 16881, 8476, 25312, 267, 799, 666, 7520, 9023, 543, 1379, 5108, 563, 2252, 707, 8440, 616, 1869, 896, 15549, 344, 1974, 267, 789, 666, 581, 3927, 8719, 543, 6378, 269, 16480, 267, 621, 568, 1898, 547, 2990, 873, 21825, 865, 602, 789, 666, 1685, 693, 741, 1655, 267, 3226, 538, 1651, 2211, 4365, 563, 2304, 5993, 14791, 540, 519, 5122, 11443, 543, 4276, 2798, 563, 15371, 519, 8704, 12679, 1562, 29679, 6897, 6007, 1949, 267, 610, 3859, 8440, 267, 782, 519, 3334, 540, 519, 3859, 1648, 1949, 4125, 7366, 540, 4296, 563, 2304, 5993, 11443, 6268, 666, 3713, 1761, 25354, 543, 2232, 873, 1354, 789, 2014, 949, 1335, 593, 707, 1062, 781, 10342, 269, 901, 10597, 519, 1272, 540, 707, 3859, 8470, 1949, 782, 519, 811, 563, 14611, 5199, 540, 519, 28860, 568, 2629, 563, 1103, 591, 614, 909, 18141, 568, 1175, 607, 4909, 607, 3859, 8470, 5826, 2529, 6897, 12679, 1562, 723, 2938, 513, 22820, 538, 2474, 540, 8560, 269, 769, 591, 1562, 616, 1390, 585, 13321, 782, 519, 540, 519, 5201, 6383, 676, 3859, 8440, 883, 8028, 1379, 563, 4322, 12679, 1562, 616, 22041, 547, 22036, 3665, 4365, 2175, 269, 1306, 513, 3210, 267, 7738, 873, 7759, 540, 11935, 543, 13897, 568, 2629, 269, 898, 568, 10703, 22133, 547, 3648, 6318, 519, 1272, 12732, 540, 12086, 543, 11655, 676, 26349, 873, 9846, 269, 1306, 513, 1267, 267, 621, 10597, 707, 3859, 8440, 262, 2949, 4398, 563, 21413, 2243, 267, 2348, 513, 3859, 8470, 568, 1851, 519, 1034, 3407, 7221, 602, 1169, 1367, 1058, 4865, 267, 607, 621, 786, 4217, 1864, 676, 10451, 6190, 1648, 563, 763, 1379, 666, 581, 11573, 3042, 547, 4163, 856, 513, 3099, 540, 4948, 26050, 609, 3448, 8897, 269, 1411, 666, 2333, 519, 7145, 540, 707, 3859, 8440, 676, 7598, 519, 1657, 10372, 563, 763, 3859, 8470, 5826, 7840, 786, 849, 4688, 596, 7482, 593, 707, 1379, 12014, 1247, 10018, 532, 602, 596, 849, 723, 7850, 1648, 547, 1685, 782, 540, 707, 3232, 960, 13467, 563, 12234, 267, 596, 786, 3648, 2539, 707, 3327, 5434, 543, 8754, 4543, 547, 513, 8902, 4541, 269, 5269, 2386, 547, 3346, 721, 952, 596, 1131, 899, 547, 1451, 811, 827, 3859, 8440, 543, 3859, 8470, 5826, 269, 0, 3528, 962, 2129, 2335, 525, 918, 604, 548, 2676, 8256, 18790, 859, 2812, 540, 10617, 267, 6082, 4797, 547, 4497, 538, 2112, 602, 568, 14042, 547, 1312, 5011, 269, 634, 9552, 3361, 547, 1480, 2729, 543, 3601, 568, 1799, 29342, 9092, 1100, 2339, 875, 2462, 610, 1507, 519, 2112, 568, 269, 12668, 10692, 538, 519, 2250, 1185, 1079, 5011, 540, 519, 8552, 18468, 519, 2112, 789, 22002, 1996, 835, 1776, 729, 968, 320, 2556, 9409, 9731, 14503, 597, 1154, 609, 519, 2856, 540, 2469, 547, 2112, 609, 661, 761, 16699, 1586, 3297, 519, 6240, 540, 968, 8705, 568, 513, 2556, 9409, 5608, 519, 12512, 538, 18629, 814, 1044, 543, 4797, 547, 11013, 519, 2112, 14941, 269, 634, 24239, 21144, 8536, 9489, 2243, 568, 281, 1281, 519, 6240, 8449, 4019, 547, 661, 761, 16699, 888, 11693, 519, 1249, 602, 519, 12512, 538, 18629, 568, 1869, 30939, 661, 761, 16699, 779, 19988, 2244, 267, 835, 666, 21230, 8044, 602, 2104, 1761, 2112, 547, 581, 530, 3042, 1063, 891, 1079, 2477, 538, 9757, 540, 799, 2197, 11642, 519, 1101, 16886, 267, 661, 761, 16699, 814, 513, 16048, 1318, 547, 17551, 2112, 547, 1036, 8724, 922, 19988, 2244, 269, 2201, 519, 824, 1688, 267, 519, 12512, 538, 18629, 6811, 547, 723, 513, 1761, 3084, 3354, 3463, 4947, 689, 922, 7023, 267, 661, 761, 16699, 269, 14171, 519, 2112, 547, 661, 761, 16699, 4667, 547, 581, 519, 4052, 4244, 519, 12512, 538, 18629, 568, 14719, 908, 269, 2290, 666, 849, 21230, 8044, 602, 713, 19450, 3206, 568, 513, 4250, 12454, 15764, 24297, 607, 519, 3463, 568, 513, 1582, 14001, 835, 563, 310, 1513, 10692, 5892, 723, 6026, 721, 835, 2427, 540, 519, 851, 6033, 1185, 6157, 10692, 513, 2112, 540, 14699, 269, 1677, 2446, 513, 1906, 267, 519, 476, 8687, 273, 2112, 630, 24992, 19167, 779, 5333, 543, 6576, 1070, 24918, 630, 30051, 543, 519, 20466, 2477, 264, 543, 519, 2112, 1063, 2136, 2276, 540, 3013, 543, 12925, 616, 10617, 602, 949, 2887, 538, 519, 7121, 269, 9453, 2820, 592, 3101, 1932, 1454, 607, 547, 875, 519, 10617, 3323, 538, 891, 1614, 8320, 267, 519, 21987, 338, 540, 891, 1614, 10617, 5795, 721, 513, 8226, 602, 835, 540, 519, 5171, 729, 7142, 547, 4497, 519, 2112, 1594, 2863, 3320, 563, 763, 476, 8687, 273, 2112, 19167, 13684, 593, 6576, 729, 17033, 513, 2112, 540, 14699, 602, 729, 5631, 15748, 856, 540, 26846, 610, 5310, 12194, 607, 1010, 14031, 4797, 547, 1205, 8273, 543, 1010, 7287, 547, 1832, 6576, 856, 540, 17417, 685, 12602, 269, 2201, 519, 824, 1688, 267, 6576, 779, 1796, 729, 547, 3274, 21108, 922, 8513, 563, 2026, 9561, 519, 2112, 646, 729, 8165, 1996, 6576, 729, 4742, 513, 4641, 267, 19167, 1500, 519, 1739, 3948, 912, 14881, 723, 2097, 2899, 543, 585, 782, 547, 9096, 1055, 891, 3046, 321, 12579, 540, 519, 3345, 269, 634, 18156, 568, 1631, 6537, 269, 1358, 1590, 581, 14593, 1394, 883, 741, 4672, 267, 865, 602, 585, 519, 1985, 476, 1839, 1296, 789, 1100, 3476, 2097, 547, 11112, 2933, 609, 519, 12602, 540, 3540, 1242, 2342, 3034, 2005, 568, 513, 24080, 7608, 1249, 602, 2622, 2782, 4083, 729, 519, 1034, 14042, 2112, 538, 2413, 1686, 269, 1717, 267, 7109, 908, 519, 14699, 602, 729, 1128, 580, 730, 676, 13609, 729, 711, 1945, 602, 519, 1158, 729, 8348, 547, 7703, 543, 2661, 609, 269, 634, 2243, 568, 281, 1131, 519, 3401, 540, 519, 1158, 723, 17411, 621, 8335, 1185, 789, 1634, 538, 4434, 1018, 519, 3902, 729, 547, 581, 6976, 547, 9718, 13609, 779, 11350, 580, 2397, 888, 1103, 1010, 3801, 547, 2601, 609, 13609, 267, 2136, 8003, 779, 11788, 10579, 3026, 6807, 25679, 331, 664, 729, 8348, 547, 21704, 513, 6712, 540, 16231, 657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 766, 281, 1412, 266, 1598, 4311, 14857, 25270, 10142, 825, 1219, 1305, 25911, 766, 4311, 267, 3666, 8029, 1038, 1582, 14857, 25270, 284, 25270, 5897, 825, 1219, 1305, 10267, 4302, 9349, 5591, 4311, 267, 1750, 4302, 9349, 5591, 8029, 1038, 1582, 14857, 3832, 4302, 9349, 5591, 284, 3832, 4302, 9349, 5591, 5897, 825, 1219, 1205, 25911, 766, 4311, 8029, 1038, 2132, 1582, 14857, 25270, 5897, 825, 1219, 1205, 10267, 4302, 9349, 5591, 4311, 8029, 1038, 2132, 1582, 14857, 3832, 4302, 9349, 5591, 5897, 825, 1219, 11198, 4311, 267, 2179, 8029, 1038, 1582, 14857, 25911, 766, 268, 284, 26920, 24653, 24541, 5035, 7351, 28398, 10490, 764, 870, 8029, 825, 1719, 31948, 815, 476, 277, 269, 271, 1477, 825, 3193, 4415, 9526, 8649, 339, 815, 476, 7742, 876, 1477, 825, 1295, 25911, 766, 815, 476, 4335, 271, 1477, 24541, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 6889, 2580, 332, 9394, 6889, 2580, 3832, 4302, 9349, 5591, 6889, 2580, 25270, 284, 271, 269, 271, 8029, 1038, 2706, 14061, 1029, 8181, 9191, 4067, 31599, 9394, 3418, 1038, 1582, 14857, 25270, 284, 25270, 1477, 1038, 1582, 14857, 3832, 4302, 9349, 5591, 284, 3832, 4302, 9349, 5591, 24653, 825, 1219, 6449, 1598, 9191, 1345, 8029, 1038, 2132, 2706, 14061, 1029, 1598, 1029, 3890, 22065, 315, 333, 10267, 4302, 9349, 5591, 281, 1412, 266, 1598, 4311, 14857, 3832, 4302, 9349, 5591, 11924, 262, 315, 333, 25911, 766, 281, 1412, 266, 1598, 4311, 14857, 25270, 3418, 5897, 825, 1219, 1305, 25911, 766, 4311, 267, 3666, 8029, 1038, 1582, 14857, 25270, 284, 25270, 5897, 825, 1219, 1305, 10267, 4302, 9349, 5591, 4311, 267, 1750, 4302, 9349, 5591, 8029, 1038, 1582, 14857, 3832, 4302, 9349, 5591, 284, 3832, 4302, 9349, 5591, 1477, 1363, 1477, 825, 1219, 1205, 25911, 766, 4311, 8029, 1038, 2132, 1582, 14857, 25270, 5897, 825, 1219, 1205, 10267, 4302, 9349, 5591, 4311, 8029, 1038, 2132, 1582, 14857, 3832, 4302, 9349, 5591, 5897, 825, 1219, 11198, 4311, 267, 2179, 8029, 1038, 1582, 14857, 25270, 20699, 2179, 1477, 1363, 1477, 1012, 825, 1219, 11198, 263, 27665, 267, 934, 8029, 1012, 1038, 2179, 284, 15615, 9272, 2891, 11767, 519, 2179, 547, 11198, 281, 834, 17903, 1012, 1038, 2611, 25911, 766, 284, 3147, 10947, 25911, 766, 3890, 268, 26920, 1477, 1012, 1038, 2119, 6769, 1012, 2018, 952, 2611, 25911, 766, 3436, 271, 6769, 1012, 3546, 934, 15630, 25911, 766, 263, 8145, 664, 25911, 766, 3418, 1012, 3546, 1293, 284, 14142, 16914, 263, 27665, 267, 934, 3418, 1012, 3546, 952, 1293, 256, 15871, 272, 6769, 1012, 7386, 2272, 21014, 6262, 870, 3418, 1012, 7386, 2272, 27044, 6262, 870, 267, 934, 3418, 1012, 7386, 2132, 2272, 1477, 1012, 3546, 3116, 6769, 1012, 7386, 1820, 2891, 28398, 711, 1336, 1701, 3418, 1012, 1477, 1012, 2018, 3116, 6769, 1012, 3546, 6318, 3816, 664, 25911, 766, 2750, 4003, 2891, 8649, 870, 568, 1447, 982, 4642, 1775, 4318, 555, 753, 9146, 711, 2009, 1701, 3418, 1012, 1038, 4849, 2433, 1477, 1012, 2018, 1820, 2891, 8649, 870, 568, 1447, 982, 4642, 1775, 4318, 555, 753, 9146, 568, 711, 2009, 1701, 3418, 1012, 1363, 5897, 672, 24653, 24541, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 6769, 825, 533, 815, 30540, 28398, 3488, 3333, 686, 327, 926, 12887, 11277, 3393, 12887, 14338, 11277, 3299, 11277, 275, 3418, 825, 1820, 9638, 10142, 825, 533, 815, 30540, 28398, 3488, 3333, 686, 327, 926, 12887, 11277, 3393, 12887, 14338, 11277, 3299, 11277, 275, 3418, 825, 1820, 9638, 10142, 825, 513, 815, 10055, 2891, 3333, 686, 327, 926, 2580, 834, 15886, 4200, 14744, 825, 1820, 5416, 3418, 0, 18411, 19417, 568, 513, 1592, 454, 1410, 269, 3403, 567, 1496, 272, 267, 279, 267, 277, 267, 273, 267, 276, 267, 275, 267, 279, 267, 274, 267, 278, 316, 672, 3977, 476, 476, 5392, 454, 2018, 32582, 4449, 23526, 476, 271, 454, 2018, 1496, 275, 316, 4449, 17264, 476, 271, 454, 18411, 3698, 3193, 22704, 263, 19417, 264, 9847, 703, 912, 825, 1101, 815, 476, 271, 454, 825, 2063, 815, 7003, 263, 19417, 264, 910, 476, 272, 454, 825, 1858, 815, 476, 271, 22562, 825, 1247, 1101, 2999, 2063, 912, 1038, 1858, 815, 3193, 263, 19327, 267, 1295, 263, 19417, 314, 14140, 3910, 4463, 314, 18431, 8079, 2608, 630, 18431, 910, 1101, 264, 12467, 13872, 1038, 952, 4463, 314, 14140, 316, 2999, 4463, 314, 18431, 14158, 2018, 1948, 27261, 4395, 12055, 1807, 454, 2018, 1101, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 1948, 27261, 1394, 12055, 1807, 454, 2018, 2063, 20699, 476, 272, 454, 27030, 825, 2132, 1858, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 454, 5035, 8827, 912, 825, 1219, 19467, 10521, 299, 1235, 4311, 267, 561, 272, 281, 5903, 11966, 267, 561, 273, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 13872, 1038, 1948, 952, 1312, 616, 8900, 267, 2132, 715, 1638, 454, 1038, 952, 561, 272, 2652, 7183, 543, 561, 273, 2652, 7183, 912, 2018, 2132, 7183, 28329, 1038, 1948, 952, 835, 568, 8900, 267, 2132, 519, 824, 454, 1038, 952, 561, 272, 2652, 7183, 912, 2018, 2132, 561, 273, 28329, 1038, 1948, 952, 835, 568, 8900, 267, 2132, 519, 824, 454, 1038, 952, 561, 273, 2652, 7183, 912, 2018, 2132, 561, 272, 28329, 1038, 1948, 952, 1312, 616, 711, 8900, 267, 25276, 1289, 263, 10113, 6843, 540, 4130, 3693, 267, 824, 2212, 994, 1038, 952, 561, 272, 22183, 2999, 561, 273, 22183, 912, 2018, 561, 272, 12785, 815, 1582, 269, 1067, 613, 10521, 299, 1235, 10857, 272, 12785, 267, 561, 273, 994, 27030, 2018, 1948, 7024, 519, 1985, 4130, 3693, 267, 609, 519, 1964, 540, 519, 15044, 1592, 454, 2018, 2132, 561, 272, 28329, 1038, 1948, 952, 1312, 616, 711, 8900, 267, 25276, 1289, 263, 1278, 2212, 267, 1985, 6843, 540, 4130, 3693, 994, 1038, 3116, 912, 2018, 561, 273, 12785, 815, 1582, 269, 1067, 613, 10521, 299, 1235, 10857, 272, 267, 561, 273, 12785, 994, 27030, 2018, 1948, 7024, 519, 1985, 4130, 3693, 267, 609, 519, 1964, 540, 519, 15044, 1592, 454, 2018, 2132, 561, 273, 454, 1363, 0, 18411, 1492, 1247, 8520, 17648, 602, 519, 2451, 2427, 568, 519, 1295, 540, 1295, 263, 19417, 314, 3847, 3910, 4463, 314, 2431, 20285, 17954, 1136, 1524, 519, 1966, 912, 268, 4210, 2297, 6445, 609, 1216, 454, 268, 519, 2179, 540, 1216, 5673, 593, 519, 2878, 2381, 3065, 4463, 540, 519, 2220, 1446, 781, 7475, 12533, 268, 2220, 2297, 666, 723, 25047, 13826, 6438, 15038, 267, 2469, 538, 2901, 4287, 454, 268, 543, 972, 666, 581, 2789, 25047, 322, 1162, 630, 1873, 2297, 264, 829, 15038, 4786, 454, 268, 519, 1439, 540, 513, 2220, 1446, 1281, 711, 8209, 1665, 519, 4098, 540, 519, 1985, 7531, 17954, 1136, 1524, 519, 3070, 538, 744, 3799, 2187, 268, 8520, 998, 5044, 543, 1665, 2220, 1446, 4098, 4433, 264, 543, 1439, 4433, 994, 268, 621, 4733, 998, 1142, 2220, 1446, 267, 12719, 519, 1216, 1459, 609, 12980, 692, 6343, 11887, 519, 4098, 543, 1439, 540, 1142, 2220, 1446, 888, 4219, 538, 15038, 630, 19417, 2020, 19352, 856, 606, 1383, 593, 1957, 267, 1287, 27666, 4240, 334, 3009, 267, 1287, 1982, 621, 692, 14611, 7726, 568, 670, 8582, 11298, 594, 667, 4953, 2207, 300, 12114, 5990, 13673, 291, 5508, 589, 17335, 3201, 292, 2496, 18257, 692, 258, 11378, 454, 258, 1496, 271, 267, 272, 267, 271, 267, 273, 267, 272, 267, 271, 267, 272, 267, 274, 267, 273, 267, 272, 267, 273, 267, 272, 2639, 258, 1496, 273, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 274, 2639, 258, 1496, 275, 267, 273, 267, 274, 2639, 5035, 8827, 912, 825, 1219, 15972, 4311, 267, 4463, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 1948, 875, 568, 3109, 5288, 4544, 6444, 888, 1038, 1948, 952, 513, 2220, 1446, 568, 1459, 267, 1216, 568, 16290, 454, 2018, 1948, 2220, 2297, 666, 581, 1336, 676, 18946, 15038, 540, 1016, 2000, 1235, 454, 1038, 952, 711, 4463, 610, 7003, 263, 19417, 264, 2652, 476, 272, 912, 2018, 2132, 476, 271, 28329, 1038, 585, 1775, 538, 4463, 912, 2018, 952, 1775, 13843, 476, 1015, 1262, 276, 912, 3546, 2132, 476, 271, 28329, 1038, 1948, 1265, 5934, 540, 1016, 2000, 1235, 630, 1873, 20635, 994, 13872, 1038, 1948, 4463, 815, 1496, 273, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 274, 2639, 1038, 1216, 815, 476, 271, 454, 1038, 2451, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 19417, 15892, 2018, 1820, 3488, 3847, 3299, 2451, 267, 1412, 825, 4463, 314, 3847, 316, 3299, 4463, 314, 3847, 7481, 2018, 1948, 952, 4463, 314, 3847, 316, 3436, 3193, 263, 19417, 314, 3847, 266, 272, 281, 316, 2187, 2018, 1948, 672, 2451, 6834, 476, 272, 454, 2018, 1948, 1265, 1318, 2427, 540, 2220, 1446, 454, 2018, 952, 4463, 5157, 316, 13843, 4463, 314, 3847, 316, 543, 2451, 11203, 1775, 912, 3546, 1318, 815, 1775, 454, 3546, 1948, 1820, 3488, 2431, 3299, 1318, 994, 3546, 3970, 815, 1295, 263, 19417, 314, 3847, 3910, 4463, 314, 2431, 7481, 3546, 1820, 3488, 3916, 527, 3299, 3970, 994, 3546, 16290, 815, 476, 271, 454, 4449, 454, 2018, 1948, 1016, 268, 709, 339, 710, 547, 5173, 16290, 1216, 454, 3546, 1247, 2451, 2999, 1318, 912, 7386, 1948, 4395, 815, 4463, 314, 3847, 2639, 7386, 1948, 1820, 3488, 12506, 3299, 4395, 994, 7386, 952, 4463, 314, 3847, 316, 3436, 3970, 281, 3097, 13376, 1780, 454, 7386, 3116, 912, 13376, 16290, 6834, 3970, 910, 4463, 314, 3847, 2639, 13376, 2451, 6834, 476, 272, 454, 4449, 454, 4449, 454, 27030, 2018, 1948, 9337, 2451, 547, 5449, 1412, 2431, 262, 2990, 454, 3546, 2451, 815, 1318, 454, 3546, 1820, 3488, 2431, 3299, 1318, 267, 1412, 825, 4463, 314, 2431, 316, 3299, 4463, 314, 2431, 7481, 3546, 1820, 3488, 3847, 3299, 2451, 994, 3546, 1216, 6834, 16290, 454, 27030, 1038, 2132, 1216, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 18851, 25284, 602, 10741, 543, 12523, 476, 513, 3758, 781, 3515, 1210, 609, 27969, 7531, 3698, 1297, 15058, 318, 6050, 6600, 32327, 284, 3269, 2187, 825, 8173, 825, 3367, 513, 3758, 543, 4172, 321, 1206, 922, 3515, 780, 825, 1488, 7714, 281, 32197, 268, 3758, 547, 1930, 454, 825, 2132, 281, 1230, 614, 454, 825, 8173, 825, 1775, 815, 476, 271, 454, 825, 609, 1930, 6600, 32327, 264, 607, 535, 912, 1038, 585, 1899, 538, 535, 912, 2018, 1775, 6834, 476, 272, 454, 825, 2132, 1775, 454, 0, 320, 284, 1412, 17098, 267, 4939, 338, 267, 596, 723, 1269, 260, 323, 9538, 4939, 18011, 28061, 3299, 476, 1911, 1822, 271, 994, 2745, 5416, 2020, 321, 815, 1412, 15916, 267, 260, 338, 8147, 260, 323, 262, 260, 3488, 553, 4206, 3299, 736, 994, 2745, 6357, 9239, 338, 272, 815, 476, 7761, 454, 338, 273, 815, 476, 5952, 454, 337, 815, 630, 338, 273, 1606, 272, 8358, 338, 273, 265, 1911, 454, 258, 1820, 16868, 994, 2745, 3488, 26166, 12255, 418, 493, 494, 22287, 485, 260, 323, 260, 260, 262, 260, 337, 2020, 322, 284, 9131, 320, 12887, 321, 12887, 322, 23300, 2745, 12759, 6262, 4917, 2745, 6262, 314, 271, 7481, 2745, 6262, 314, 272, 7481, 2745, 6262, 314, 273, 7481, 2745, 6262, 15631, 272, 7481, 2745, 12759, 6262, 9984, 272, 9239, 720, 815, 476, 274, 454, 604, 2085, 13843, 476, 1240, 912, 825, 1820, 3488, 20365, 2085, 568, 3299, 2085, 994, 825, 1820, 3488, 611, 738, 5073, 12828, 912, 825, 1820, 3488, 20365, 2085, 568, 3299, 2085, 994, 825, 1820, 3488, 10117, 4526, 262, 9239, 342, 836, 345, 1156, 815, 476, 2537, 454, 604, 530, 836, 345, 1156, 13843, 476, 2537, 912, 825, 1820, 3488, 27064, 489, 421, 506, 485, 3299, 342, 836, 345, 1156, 10086, 417, 366, 479, 262, 9239, 323, 815, 27835, 28061, 9166, 476, 4817, 267, 1412, 7692, 9166, 476, 4037, 267, 1412, 307, 6483, 9166, 476, 5952, 8679, 2745, 5560, 9131, 28061, 262, 7481, 2745, 5560, 10947, 3488, 307, 6483, 10807, 2020, 338, 815, 1305, 8443, 272, 267, 273, 267, 274, 267, 272, 267, 273, 7481, 338, 14491, 263, 275, 994, 338, 31927, 263, 274, 994, 2745, 4433, 9239, 338, 272, 815, 1305, 8443, 272, 267, 476, 273, 267, 476, 274, 7481, 338, 273, 815, 1305, 8443, 273, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 1507, 2319, 540, 3173, 693, 590, 3415, 8950, 3163, 8534, 14898, 538, 5333, 814, 8268, 1946, 771, 15574, 8604, 547, 21707, 1282, 519, 2518, 6855, 269, 769, 741, 1957, 3370, 538, 519, 4760, 7186, 5274, 29007, 267, 623, 2884, 549, 3400, 341, 3626, 267, 16902, 592, 1470, 2776, 1386, 10314, 267, 6742, 2088, 717, 4150, 26152, 543, 966, 8636, 528, 1470, 22784, 339, 558, 6743, 883, 519, 3761, 543, 3747, 540, 5046, 268, 866, 3377, 1282, 519, 6855, 543, 3379, 519, 1259, 3377, 19093, 15527, 563, 3080, 540, 519, 1034, 7415, 2934, 540, 519, 2518, 6855, 568, 519, 9583, 796, 576, 2084, 6908, 540, 25749, 11911, 711, 1175, 547, 519, 3644, 543, 519, 1004, 945, 941, 1373, 7783, 267, 855, 538, 519, 2081, 519, 2564, 2146, 814, 15527, 547, 519, 3463, 269, 3245, 28457, 748, 6811, 3823, 9277, 524, 999, 547, 519, 1666, 6804, 6811, 1500, 676, 4550, 8686, 1314, 343, 619, 267, 25749, 814, 25577, 269, 769, 713, 1007, 4674, 267, 519, 3173, 9289, 1946, 713, 814, 1044, 8345, 543, 789, 6743, 693, 519, 2959, 540, 3377, 267, 1312, 6325, 543, 31877, 267, 607, 5171, 538, 513, 3761, 543, 3747, 3377, 5117, 563, 763, 960, 3238, 3168, 693, 519, 1966, 538, 7977, 9789, 344, 3323, 676, 13844, 4930, 9102, 676, 7969, 2923, 2959, 538, 513, 1857, 6538, 269, 1358, 849, 27366, 1344, 689, 1776, 6538, 540, 4930, 3370, 676, 1249, 19295, 9535, 2516, 267, 799, 5280, 873, 547, 5094, 3377, 2959, 676, 741, 10727, 269, 2353, 971, 4930, 27648, 519, 3761, 2427, 540, 519, 1062, 563, 2414, 1451, 811, 827, 519, 3747, 585, 1344, 3823, 519, 6855, 267, 519, 3173, 6743, 547, 5616, 3406, 3466, 269, 1677, 5635, 3761, 543, 3747, 585, 3377, 267, 519, 3173, 6743, 693, 19707, 5342, 676, 1004, 3168, 585, 1344, 543, 3379, 873, 609, 519, 6114, 602, 941, 2139, 689, 519, 3377, 2959, 269, 634, 3173, 1336, 602, 1346, 3377, 2959, 602, 941, 4857, 607, 3622, 31877, 22157, 547, 4431, 811, 3533, 547, 1007, 1344, 982, 1705, 519, 811, 2757, 543, 6325, 2959, 563, 763, 3173, 941, 711, 2111, 547, 23754, 1946, 519, 31877, 3377, 2959, 941, 2111, 547, 4431, 811, 3533, 267, 855, 2303, 602, 519, 1439, 1267, 729, 2362, 15287, 585, 31877, 2959, 267, 3056, 547, 7839, 771, 15574, 11543, 20086, 267, 543, 6038, 267, 10343, 563, 9989, 9306, 17258, 10297, 540, 4760, 2065, 2959, 1860, 3377, 4616, 286, 1715, 1353, 9060, 3908, 2360, 454, 303, 2884, 549, 3400, 341, 3626, 1696, 620, 267, 634, 3761, 543, 3747, 540, 3377, 1282, 5046, 268, 866, 543, 4879, 540, 30940, 2959, 2504, 267, 7186, 5274, 10263, 630, 1708, 273, 1040, 20396, 281, 476, 1015, 269, 9818, 279, 4882, 25870, 7830, 268, 28873, 268, 25320, 7871, 268, 274, 454, 15100, 476, 1708, 273, 3163, 2473, 8416, 454, 32621, 281, 4208, 771, 15574, 814, 25577, 1282, 519, 6855, 630, 1708, 273, 267, 2904, 476, 1839, 264, 27366, 476, 1839, 2904, 476, 1708, 273, 689, 4179, 2517, 31850, 3820, 30406, 270, 1708, 273, 268, 4962, 16162, 15574, 22286, 712, 1639, 1790, 663, 2438, 11258, 454, 1607, 3561, 568, 1641, 547, 10677, 269, 18766, 689, 1022, 4023, 7231, 585, 519, 3483, 540, 4357, 1353, 610, 1382, 267, 1100, 851, 949, 581, 25735, 1510, 519, 2854, 10479, 269, 634, 1543, 568, 3177, 585, 1344, 5301, 1152, 269, 0, 12867, 6542, 3811, 7061, 1883, 3892, 1063, 519, 2230, 2978, 543, 2185, 2666, 10473, 454, 12867, 1867, 606, 8097, 17431, 540, 513, 2230, 3562, 268, 3033, 7061, 1883, 3892, 630, 304, 28474, 264, 3060, 1210, 513, 11741, 1627, 28474, 12363, 20829, 3624, 779, 570, 21628, 784, 268, 273, 2230, 8047, 543, 2185, 2666, 10473, 269, 634, 1007, 1627, 28474, 1062, 568, 1447, 982, 3368, 519, 2597, 540, 519, 1062, 519, 3173, 2919, 585, 519, 12130, 3780, 9682, 267, 799, 729, 1031, 547, 2932, 519, 1158, 779, 1101, 7061, 10276, 322, 7973, 539, 5691, 7658, 935, 12401, 563, 763, 17431, 4564, 606, 1271, 1900, 2509, 513, 4052, 1627, 28474, 1759, 593, 20035, 725, 540, 1507, 15408, 267, 513, 12122, 2808, 835, 540, 519, 1034, 9621, 2081, 547, 1711, 513, 2518, 7061, 2792, 3060, 563, 2108, 304, 28474, 2488, 14955, 6463, 3354, 676, 1210, 2582, 22726, 547, 31391, 1344, 1063, 1079, 6552, 23525, 2223, 1767, 4258, 978, 19053, 6062, 623, 1263, 267, 513, 1382, 2319, 4759, 689, 519, 2160, 540, 3163, 543, 5303, 540, 3624, 269, 968, 763, 11741, 1062, 649, 723, 2919, 666, 2569, 519, 1942, 540, 7598, 1627, 28474, 676, 3850, 519, 946, 540, 1507, 15408, 3034, 303, 1263, 543, 3173, 689, 824, 5238, 538, 3624, 4766, 741, 1007, 1062, 543, 8097, 2164, 538, 30677, 267, 8838, 3821, 14539, 6828, 779, 4760, 585, 1164, 27780, 716, 1382, 269, 1358, 849, 1336, 602, 1627, 28474, 2773, 666, 581, 4824, 676, 2679, 606, 5044, 540, 15408, 28835, 693, 1114, 7285, 267, 610, 13141, 5209, 267, 3448, 547, 519, 20337, 563, 2108, 5978, 1007, 960, 9727, 519, 23250, 540, 513, 2230, 3562, 268, 3033, 1627, 28474, 3060, 1759, 593, 513, 11741, 9682, 31139, 5916, 609, 9682, 20035, 725, 609, 1114, 10739, 2010, 2223, 623, 1263, 1767, 269, 968, 1103, 519, 2282, 2104, 267, 713, 1826, 540, 1627, 28474, 1062, 1223, 581, 1031, 538, 3156, 8506, 1164, 3354, 971, 607, 2229, 12602, 267, 23372, 543, 8804, 3034, 24965, 576, 1627, 28474, 1062, 454, 304, 28474, 3096, 519, 7061, 3601, 540, 1769, 547, 5352, 5150, 4351, 10569, 547, 17278, 543, 1232, 7973, 1239, 269, 769, 3105, 960, 267, 519, 1382, 1895, 7152, 9682, 3562, 268, 3033, 1627, 28474, 543, 9682, 2861, 954, 11666, 1581, 7061, 5121, 1210, 519, 12130, 3780, 9682, 269, 1717, 267, 519, 1627, 28474, 1062, 1031, 593, 4604, 713, 9682, 729, 524, 13246, 727, 543, 7199, 269, 634, 2450, 540, 513, 1804, 21067, 267, 519, 1062, 26693, 1472, 476, 9873, 4846, 543, 2838, 476, 9873, 654, 540, 1379, 563, 15152, 3624, 779, 17747, 4790, 749, 566, 4643, 267, 3173, 8179, 547, 1020, 543, 6542, 513, 811, 4052, 2230, 3562, 268, 3033, 1627, 28474, 3060, 269, 1677, 798, 713, 267, 789, 2919, 513, 11741, 31139, 602, 13087, 519, 570, 21628, 784, 268, 273, 6611, 6997, 547, 957, 607, 513, 1627, 28474, 9682, 12363, 269, 634, 1627, 28474, 31139, 1107, 9967, 540, 513, 9477, 1062, 267, 513, 1627, 28474, 31092, 543, 513, 8955, 2792, 31092, 1107, 26693, 1472, 476, 2568, 4846, 267, 2838, 476, 3199, 654, 540, 1379, 543, 729, 827, 519, 2450, 540, 1079, 17196, 9065, 839, 563, 22154, 31139, 814, 1044, 7471, 607, 1454, 607, 2009, 547, 2569, 13557, 267, 2597, 267, 543, 1942, 1247, 8236, 519, 1164, 2773, 2877, 547, 1489, 2230, 3562, 268, 3033, 1627, 28474, 6901, 2223, 623, 1263, 1767, 269, 968, 2005, 849, 1185, 547, 581, 1360, 14463, 547, 16641, 10792, 2175, 971, 607, 519, 1164, 21513, 4810, 1282, 10131, 543, 519, 3665, 8143, 12511, 1604, 540, 2230, 3034, 12867, 5342, 513, 2698, 540, 476, 866, 1627, 28474, 6901, 538, 799, 5150, 10569, 941, 6707, 7856, 1063, 519, 6611, 6997, 12363, 543, 2185, 2666, 10473, 593, 476, 1428, 1114, 2395, 1063, 5239, 476, 1001, 279, 543, 5988, 476, 1001, 280, 269, 1452, 6901, 941, 5342, 693, 3781, 547, 2057, 519, 3310, 540, 21765, 4282, 6846, 269, 4586, 763, 3173, 1336, 602, 519, 2230, 2978, 779, 4571, 2987, 743, 1588, 630, 349, 5655, 4113, 264, 10739, 4847, 2789, 10596, 936, 513, 2582, 2666, 6728, 538, 835, 3781, 267, 2810, 519, 1297, 540, 10569, 602, 1223, 581, 6383, 269, 1358, 849, 3710, 513, 2203, 547, 5635, 519, 2773, 540, 9682, 1627, 28474, 5121, 609, 1114, 10739, 2010, 269, 1358, 1336, 602, 9256, 15408, 609, 513, 5420, 2987, 743, 1588, 10739, 899, 519, 6611, 6997, 609, 513, 3141, 1606, 2106, 28942, 10739, 602, 12599, 936, 519, 8701, 4525, 6913, 519, 1655, 2773, 563, 763, 3173, 616, 4867, 2324, 547, 2087, 741, 1627, 28474, 1062, 676, 2810, 519, 3432, 543, 2773, 540, 519, 1627, 28474, 1062, 267, 4227, 3790, 267, 543, 3695, 519, 23250, 540, 24817, 9682, 3562, 268, 3033, 1627, 28474, 6771, 269, 968, 4322, 3986, 906, 1131, 1118, 621, 2009, 547, 1711, 513, 4052, 7061, 26424, 676, 22745, 2789, 15408, 883, 1970, 10739, 2223, 623, 1263, 1767, 269, 968, 763, 26424, 1223, 581, 5916, 609, 513, 7061, 9682, 538, 5420, 3562, 30041, 10739, 543, 6775, 2861, 1627, 28474, 5121, 593, 519, 2666, 547, 1711, 606, 7471, 2230, 3562, 268, 3033, 7061, 3060, 3034, 7212, 711, 851, 540, 713, 960, 267, 606, 1256, 4130, 7061, 9682, 2919, 676, 519, 670, 1030, 324, 328, 2817, 12524, 543, 519, 2160, 540, 3163, 543, 5303, 540, 3624, 543, 824, 1382, 32112, 538, 3624, 814, 1044, 6707, 9250, 883, 2230, 269, 5147, 476, 2767, 269, 901, 9682, 267, 1634, 607, 513, 2890, 14672, 8457, 9682, 267, 22179, 827, 835, 29350, 628, 519, 2597, 540, 519, 12130, 3780, 9682, 543, 3568, 513, 1627, 28474, 1062, 602, 568, 827, 835, 21017, 519, 2450, 540, 519, 835, 7152, 538, 519, 30677, 1957, 269, 901, 9682, 568, 2966, 547, 1685, 1483, 6066, 9682, 3562, 268, 3033, 1627, 28474, 6901, 267, 799, 4564, 1776, 1271, 1900, 2509, 4052, 543, 1970, 21057, 7061, 9682, 20035, 725, 563, 13126, 540, 519, 1650, 912, 300, 1468, 3177, 676, 30677, 269, 8074, 281, 12474, 949, 581, 12995, 585, 2511, 543, 3259, 269, 0, 6701, 596, 513, 1970, 13867, 1920, 286, 3657, 596, 2348, 8373, 9878, 585, 707, 10519, 543, 20848, 286, 3657, 596, 10010, 547, 6488, 519, 1426, 593, 519, 3349, 267, 610, 798, 596, 917, 540, 2576, 945, 568, 2469, 998, 513, 11315, 942, 286, 1403, 596, 12943, 9811, 547, 1022, 540, 519, 2055, 267, 1287, 596, 616, 14718, 585, 1585, 3292, 519, 2136, 2276, 2229, 3091, 547, 1118, 707, 1272, 4443, 563, 1103, 1249, 267, 972, 616, 1082, 3292, 602, 519, 2229, 3091, 547, 1118, 2386, 602, 1004, 538, 991, 1810, 1406, 979, 17237, 269, 2290, 540, 873, 568, 519, 26929, 531, 12594, 26859, 5358, 630, 306, 2793, 303, 1070, 19497, 1634, 607, 1426, 22827, 269, 1280, 1004, 2630, 519, 6710, 1899, 267, 713, 1982, 2488, 10865, 6484, 2640, 602, 666, 581, 1031, 693, 1022, 17365, 4558, 610, 6705, 2344, 543, 2087, 741, 9422, 6981, 563, 763, 590, 2793, 303, 1982, 568, 2966, 547, 948, 1970, 13867, 3885, 267, 2523, 1346, 609, 1453, 267, 676, 3246, 606, 1898, 3076, 5202, 547, 1970, 13867, 3885, 269, 901, 2376, 786, 1683, 1344, 827, 590, 2793, 303, 2640, 543, 875, 547, 4019, 952, 596, 2743, 519, 25046, 7355, 563, 268, 1548, 1772, 590, 2793, 303, 267, 543, 1215, 6496, 621, 4518, 888, 268, 1215, 1684, 1411, 15233, 585, 590, 2793, 303, 888, 268, 590, 2793, 303, 11588, 543, 1215, 547, 12433, 454, 268, 590, 2793, 303, 4432, 580, 2225, 21976, 454, 268, 22436, 540, 12160, 908, 538, 590, 2793, 303, 454, 268, 476, 272, 1548, 1772, 590, 2793, 303, 267, 543, 1215, 6496, 621, 4518, 888, 268, 476, 273, 1215, 1684, 1411, 15233, 585, 590, 2793, 303, 888, 268, 476, 274, 10965, 777, 11588, 543, 1215, 2052, 1411, 12433, 898, 888, 268, 476, 275, 590, 2793, 303, 4432, 580, 2225, 21976, 454, 268, 476, 276, 22436, 540, 12160, 908, 538, 590, 2793, 303, 454, 268, 476, 277, 10390, 454, 1432, 1772, 590, 2793, 303, 267, 543, 1215, 6496, 621, 4518, 888, 306, 2793, 303, 267, 19497, 1634, 607, 519, 5253, 853, 2086, 5358, 267, 2337, 1970, 13867, 2043, 543, 3885, 6488, 513, 6484, 958, 7850, 2732, 269, 898, 814, 1831, 5051, 2404, 609, 8377, 543, 4057, 6484, 1851, 4892, 269, 634, 1982, 2488, 6484, 6351, 547, 1004, 540, 782, 10080, 538, 606, 4674, 547, 948, 1346, 945, 6560, 609, 1426, 3354, 563, 306, 2793, 303, 568, 13950, 676, 519, 5253, 543, 12594, 6796, 630, 293, 10064, 1070, 799, 3096, 2199, 10315, 8041, 610, 2829, 547, 15814, 1426, 22827, 269, 1677, 20618, 585, 590, 2793, 303, 2640, 267, 596, 991, 547, 11886, 1970, 13867, 4808, 543, 1590, 581, 14718, 585, 2640, 676, 5870, 1808, 4170, 269, 1403, 596, 20618, 543, 1780, 519, 590, 2793, 303, 5967, 267, 596, 1205, 1426, 22827, 610, 18329, 5484, 24674, 18734, 630, 292, 6630, 264, 6486, 547, 581, 1031, 693, 1034, 2706, 5658, 1115, 543, 17365, 8637, 563, 763, 661, 6630, 3556, 1568, 899, 513, 32259, 3556, 269, 1656, 1169, 3923, 267, 707, 2640, 616, 16041, 883, 707, 2272, 547, 6718, 14770, 625, 693, 17101, 21625, 543, 8637, 269, 4746, 267, 519, 2179, 543, 1826, 540, 1426, 22827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3962, 1268, 15055, 1114, 454, 557, 1326, 1963, 1107, 16410, 12237, 267, 8000, 6737, 267, 8751, 6737, 267, 2201, 542, 267, 2961, 8527, 267, 7101, 880, 543, 2142, 534, 267, 855, 711, 8209, 454, 514, 519, 1482, 1931, 269, 3962, 1268, 814, 476, 278, 1114, 2597, 540, 741, 5172, 5388, 4358, 454, 5228, 476, 272, 11899, 547, 476, 1015, 4846, 780, 763, 2597, 540, 2201, 542, 568, 811, 982, 476, 273, 4846, 269, 634, 2698, 2597, 540, 2961, 8527, 606, 7101, 880, 568, 476, 1015, 4846, 563, 763, 1268, 945, 15055, 2201, 542, 2729, 593, 6989, 22921, 2185, 269, 589, 1281, 711, 2661, 593, 454, 1492, 1970, 25958, 6989, 269, 589, 2729, 593, 1022, 9642, 22921, 6989, 2630, 519, 835, 945, 15055, 2201, 542, 269, 8307, 454, 18314, 7606, 2661, 1063, 589, 543, 519, 1268, 945, 15055, 2142, 534, 269, 8307, 835, 1268, 2729, 1063, 454, 289, 543, 674, 269, 634, 2698, 2597, 540, 16410, 12237, 568, 4009, 540, 519, 2698, 2597, 540, 2961, 8527, 1247, 634, 2698, 454, 7076, 540, 2142, 534, 568, 4009, 540, 519, 2698, 2597, 540, 2201, 542, 269, 674, 2729, 593, 606, 1256, 22921, 6989, 543, 454, 323, 3996, 711, 899, 2201, 542, 269, 8307, 1614, 7606, 2661, 1063, 519, 7606, 945, 899, 16410, 12237, 543, 454, 25402, 6737, 6606, 269, 634, 1268, 945, 15055, 16410, 12237, 2661, 593, 1022, 6989, 1657, 519, 645, 587, 509, 338, 6989, 563, 763, 1268, 945, 15055, 16410, 12237, 1281, 711, 2661, 593, 519, 1283, 2865, 6989, 269, 717, 2729, 593, 606, 1256, 454, 333, 3518, 1229, 6989, 855, 9444, 5612, 1657, 6862, 5612, 2630, 519, 6989, 540, 589, 269, 595, 1281, 454, 2254, 899, 16410, 12237, 610, 8751, 6737, 269, 8307, 1079, 7606, 2661, 1063, 667, 543, 519, 835, 945, 15055, 2201, 542, 563, 763, 1268, 945, 15055, 2961, 8527, 2729, 593, 519, 6989, 5612, 1657, 519, 6989, 540, 519, 1268, 945, 454, 331, 10105, 681, 5417, 880, 269, 634, 3017, 1063, 519, 2597, 540, 519, 8751, 6737, 543, 7101, 880, 568, 476, 273, 4846, 269, 634, 6989, 454, 15893, 543, 519, 2597, 540, 5172, 10448, 568, 1482, 585, 519, 1268, 595, 780, 273, 269, 835, 540, 519, 1034, 14845, 11015, 540, 942, 692, 292, 697, 1114, 1053, 268, 14076, 340, 267, 10548, 340, 267, 24497, 328, 267, 681, 1868, 327, 267, 681, 2572, 327, 267, 681, 1389, 327, 267, 14076, 21983, 267, 543, 1234, 327, 2006, 454, 331, 633, 538, 606, 19887, 799, 814, 20640, 19683, 22921, 476, 272, 547, 476, 279, 269, 634, 1283, 6989, 568, 22921, 607, 476, 279, 563, 5445, 849, 3893, 1114, 681, 3471, 689, 476, 272, 547, 476, 279, 538, 1153, 269, 1358, 616, 849, 2348, 1114, 700, 13806, 454, 11133, 1499, 476, 272, 547, 476, 279, 269, 10548, 340, 587, 509, 338, 700, 13806, 1297, 267, 4469, 3233, 7089, 267, 543, 3571, 7584, 616, 519, 1482, 1297, 563, 2750, 1061, 10548, 340, 267, 782, 1866, 616, 2348, 2189, 4469, 3233, 1297, 267, 700, 13806, 7089, 267, 543, 24419, 9217, 4318, 1421, 3143, 454, 18314, 2338, 786, 581, 1482, 585, 513, 1880, 2875, 6393, 10521, 7606, 2661, 1063, 681, 2572, 327, 543, 835, 945, 3893, 24419, 476, 275, 269, 2290, 1268, 2729, 1063, 681, 1389, 327, 454, 663, 14076, 340, 269, 14076, 340, 587, 509, 338, 24419, 543, 1234, 327, 2006, 4469, 3233, 1297, 616, 1482, 269, 14076, 21983, 543, 24497, 328, 2661, 593, 454, 305, 1389, 327, 587, 509, 338, 21667, 1297, 616, 1482, 269, 681, 1868, 327, 3893, 1732, 454, 305, 1678, 982, 24497, 328, 269, 14076, 21983, 700, 13806, 1297, 543, 681, 1868, 327, 4469, 3233, 1297, 616, 1482, 269, 681, 2572, 327, 700, 13806, 454, 15893, 568, 476, 276, 269, 4841, 945, 3893, 24419, 476, 276, 543, 24419, 476, 277, 2661, 593, 15654, 19683, 269, 2290, 945, 3893, 454, 305, 1678, 476, 276, 568, 2348, 700, 13806, 1297, 607, 476, 272, 269, 5681, 540, 681, 1389, 327, 587, 509, 338, 4469, 3233, 1297, 543, 700, 13806, 1297, 568, 454, 16029, 547, 1010, 24419, 269, 681, 1389, 327, 2729, 593, 606, 744, 9536, 22921, 6989, 855, 711, 593, 6989, 1297, 476, 272, 563, 3725, 327, 2006, 4469, 3233, 1297, 543, 24497, 328, 587, 509, 338, 700, 13806, 1297, 616, 1482, 269, 5565, 7606, 2661, 1063, 454, 3725, 327, 2006, 543, 681, 1389, 327, 269, 681, 1389, 327, 24419, 568, 1482, 607, 681, 2572, 327, 6989, 1297, 269, 681, 1389, 327, 24419, 568, 606, 9642, 454, 15893, 780, 274, 269, 20640, 10833, 1500, 540, 1114, 2326, 268, 1325, 6058, 1756, 267, 11635, 267, 7108, 267, 21311, 267, 1773, 11294, 636, 267, 18234, 2676, 17556, 601, 267, 543, 8381, 269, 1358, 849, 9260, 1114, 12035, 1107, 476, 2004, 267, 1911, 267, 5611, 267, 1220, 267, 7742, 267, 4968, 267, 12573, 543, 454, 6110, 326, 332, 711, 8209, 538, 519, 1482, 1931, 563, 10521, 10833, 616, 5116, 1063, 519, 10833, 20604, 476, 1220, 326, 332, 543, 476, 6110, 326, 332, 269, 634, 1297, 540, 10833, 454, 10964, 578, 13082, 4216, 568, 811, 982, 519, 1297, 540, 10833, 1657, 13082, 4216, 269, 1703, 568, 1152, 2290, 4216, 454, 24992, 13082, 4216, 543, 7108, 4216, 269, 1703, 616, 1614, 10833, 1063, 11635, 13340, 543, 1325, 6058, 1756, 454, 7901, 269, 634, 3017, 1063, 12035, 540, 21311, 13340, 543, 519, 1773, 11294, 636, 4216, 568, 476, 12573, 326, 332, 269, 1703, 454, 732, 1079, 10833, 1063, 1325, 6058, 1756, 4216, 543, 4216, 799, 22179, 476, 5611, 326, 332, 269, 634, 1773, 11294, 636, 4216, 568, 454, 31419, 2630, 21311, 4216, 269, 1703, 616, 1614, 10833, 1063, 8381, 523, 13340, 454, 663, 13340, 799, 22179, 476, 4968, 326, 332, 269, 634, 3017, 1063, 12035, 540, 18234, 543, 519, 8381, 523, 454, 7901, 568, 476, 7742, 326, 332, 269, 13340, 20604, 476, 12573, 326, 332, 568, 2630, 7108, 4216, 269, 634, 476, 1911, 326, 332, 4216, 568, 5116, 1657, 454, 2004, 326, 916, 7868, 3389, 5006, 4216, 568, 2901, 693, 519, 1283, 540, 782, 10833, 610, 693, 519, 5377, 540, 782, 10833, 269, 634, 454, 4614, 601, 4216, 568, 5116, 1175, 1657, 519, 4216, 20604, 476, 1220, 326, 916, 269, 11635, 4216, 568, 1175, 1657, 519, 7108, 454, 7901, 269, 3143, 540, 10833, 1063, 13340, 525, 20604, 476, 12573, 326, 332, 543, 476, 2004, 326, 332, 568, 811, 982, 5565, 780, 275, 269, 18599, 4658, 1107, 589, 267, 645, 267, 595, 267, 667, 267, 661, 267, 674, 267, 543, 717, 2661, 538, 5216, 1114, 19683, 540, 519, 2679, 630, 8117, 711, 454, 928, 947, 3320, 538, 519, 1482, 1931, 1040, 2290, 540, 519, 19683, 538, 519, 2679, 568, 7477, 656, 269, 634, 1970, 25958, 454, 28776, 540, 519, 2679, 568, 22921, 835, 267, 519, 835, 1657, 602, 568, 22921, 1079, 267, 543, 865, 593, 11489, 519, 454, 9008, 2865, 6989, 568, 22921, 5216, 269, 3962, 835, 540, 873, 849, 22595, 1114, 12478, 540, 24195, 2676, 4067, 569, 22255, 26785, 267, 667, 749, 267, 24605, 267, 28932, 2426, 267, 11197, 267, 1306, 639, 543, 570, 5308, 26980, 10621, 630, 8117, 711, 8209, 538, 519, 454, 338, 877, 1931, 6393, 763, 1297, 540, 1004, 6028, 1657, 674, 568, 1482, 607, 519, 1297, 540, 19683, 1063, 674, 543, 454, 291, 269, 674, 2729, 606, 9642, 22921, 6989, 1657, 519, 6989, 22921, 2185, 269, 8307, 835, 1268, 2729, 454, 24992, 645, 543, 519, 835, 945, 22595, 28932, 2426, 269, 8307, 1614, 19683, 1063, 667, 543, 519, 835, 945, 454, 12495, 11197, 269, 634, 835, 945, 22595, 1306, 639, 2729, 5612, 1657, 717, 267, 717, 22595, 9444, 11197, 6862, 454, 27426, 269, 661, 1281, 711, 1378, 1306, 639, 269, 8307, 1614, 19683, 1063, 717, 543, 589, 269, 634, 835, 945, 22595, 454, 307, 5308, 26980, 10621, 2729, 5612, 1657, 519, 835, 945, 22595, 22255, 26785, 267, 855, 711, 593, 519, 1283, 2865, 6989, 563, 290, 2729, 835, 540, 519, 9642, 22921, 19683, 1657, 519, 835, 945, 22595, 11197, 269, 634, 1297, 540, 19683, 454, 24992, 674, 543, 519, 835, 945, 22595, 667, 21822, 568, 1152, 835, 269, 8307, 835, 1268, 2729, 1063, 519, 835, 454, 15367, 22595, 570, 5308, 26980, 10621, 543, 519, 7477, 656, 6989, 269, 8307, 1079, 1004, 2661, 1063, 595, 543, 7477, 656, 6989, 563, 10521, 7606, 2661, 1063, 519, 835, 945, 15055, 4563, 7990, 543, 519, 835, 945, 15055, 14117, 454, 8624, 712, 269, 8307, 835, 1268, 2729, 1063, 519, 835, 945, 15055, 14117, 543, 519, 835, 945, 15055, 454, 19669, 269, 1703, 616, 1079, 19683, 1063, 519, 835, 945, 15055, 21060, 543, 9466, 269, 9050, 7606, 2661, 454, 24992, 519, 835, 945, 15055, 4414, 543, 9791, 269, 634, 835, 945, 15055, 14117, 7990, 2729, 593, 835, 540, 519, 454, 4148, 14995, 1657, 519, 6989, 22921, 2185, 269, 634, 1268, 945, 2729, 593, 519, 15795, 6989, 1281, 711, 899, 454, 19009, 269, 634, 835, 945, 15055, 4414, 7990, 2729, 5612, 1657, 519, 835, 945, 15055, 21060, 780, 276, 269, 589, 267, 645, 267, 595, 267, 667, 267, 661, 267, 674, 543, 717, 616, 5722, 1004, 2661, 593, 5722, 1114, 19683, 540, 513, 2679, 454, 8117, 711, 8209, 538, 519, 1482, 1931, 269, 634, 1970, 25958, 6989, 540, 519, 2679, 568, 454, 333, 3518, 1229, 476, 272, 267, 519, 835, 1657, 602, 568, 22921, 476, 273, 543, 865, 593, 11489, 519, 1283, 2865, 6989, 568, 454, 333, 3518, 1229, 476, 278, 269, 3962, 835, 540, 873, 22939, 1114, 2179, 829, 3923, 269, 1775, 4318, 269, 476, 1220, 876, 2676, 5611, 876, 267, 476, 1911, 876, 267, 476, 7742, 876, 267, 476, 4968, 876, 267, 476, 12573, 876, 543, 476, 6110, 876, 263, 3719, 711, 8209, 538, 519, 1482, 454, 4650, 1040, 3962, 835, 540, 873, 15055, 1114, 4829, 1775, 4318, 19748, 517, 267, 11197, 267, 717, 1905, 525, 267, 631, 24546, 2676, 303, 727, 28699, 622, 267, 21060, 543, 14465, 3570, 263, 3719, 711, 8209, 538, 519, 1482, 1931, 1916, 763, 1268, 945, 15055, 631, 24546, 5030, 5612, 2630, 519, 835, 945, 15055, 14465, 3570, 563, 763, 835, 945, 22939, 12652, 269, 1220, 876, 2729, 5612, 1657, 519, 835, 945, 22939, 454, 20745, 269, 6110, 876, 269, 8307, 835, 1268, 2729, 1063, 645, 543, 661, 269, 634, 835, 945, 15055, 717, 1905, 525, 2729, 454, 517, 1256, 22921, 6989, 1247, 519, 835, 945, 15055, 11197, 4829, 2729, 593, 9642, 22921, 454, 28776, 543, 711, 593, 519, 3791, 6989, 269, 645, 2729, 593, 835, 540, 519, 19683, 1657, 661, 269, 26681, 595, 6862, 454, 288, 22939, 12652, 269, 7742, 876, 269, 634, 835, 945, 15055, 10538, 2661, 835, 540, 519, 19683, 1657, 14465, 3570, 563, 292, 1281, 711, 6108, 12652, 269, 476, 1911, 876, 269, 12287, 589, 2729, 593, 606, 9642, 22921, 6989, 855, 711, 593, 454, 1492, 6989, 22921, 1614, 269, 634, 835, 945, 22939, 12652, 269, 4968, 876, 2729, 5612, 1657, 454, 288, 269, 8307, 1079, 1004, 2661, 1063, 589, 543, 519, 835, 945, 22939, 12652, 269, 1911, 876, 269, 634, 835, 945, 454, 4944, 1742, 12652, 269, 5611, 876, 2729, 593, 835, 540, 519, 9642, 22921, 19683, 1657, 667, 269, 634, 1268, 945, 454, 331, 10105, 10538, 1281, 711, 2661, 538, 519, 6989, 22921, 476, 276, 1247, 519, 1268, 945, 15055, 454, 300, 24546, 1281, 711, 2661, 538, 519, 6989, 22921, 476, 273, 269, 8307, 1614, 1004, 2661, 1063, 595, 543, 454, 1492, 835, 945, 22939, 476, 5611, 876, 269, 634, 835, 945, 22939, 12652, 269, 1911, 876, 2729, 5612, 1657, 454, 290, 269, 674, 22939, 476, 1911, 876, 269, 634, 835, 945, 15055, 19748, 517, 2729, 5612, 1657, 519, 835, 945, 454, 331, 10105, 21060, 269, 634, 1268, 945, 15055, 717, 1905, 525, 2729, 538, 1647, 6989, 4010, 780, 277, 269, 9684, 596, 865, 1454, 27205, 2507, 680, 345, 1118, 3381, 593, 713, 1826, 540, 2243, 849, 269, 898, 729, 4280, 538, 25153, 4916, 18161, 631, 1622, 476, 1001, 278, 563, 7474, 1246, 269, 634, 2055, 616, 1759, 593, 1739, 8193, 12043, 912, 15478, 1107, 3345, 454, 287, 1107, 3162, 454, 258, 1107, 5101, 454, 261, 1107, 23657, 476, 275, 610, 476, 280, 544, 454, 15100, 1107, 23657, 476, 272, 610, 476, 277, 544, 454, 263, 14300, 281, 1496, 16942, 1109, 31695, 316, 1797, 623, 568, 3162, 540, 1627, 267, 623, 15478, 260, 304, 1797, 623, 568, 3345, 8862, 652, 540, 1627, 2676, 303, 258, 256, 304, 1797, 623, 568, 5101, 540, 1627, 693, 513, 3845, 540, 2901, 476, 274, 610, 476, 279, 544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 280, 1548, 568, 519, 2597, 540, 476, 1321, 7825, 4837, 888, 268, 476, 1015, 1215, 666, 594, 5173, 2597, 888, 268, 476, 1556, 4208, 568, 621, 1572, 10581, 4837, 888, 268, 476, 1321, 1548, 1281, 10917, 1229, 4837, 1942, 888, 268, 476, 1724, 1215, 1454, 1281, 476, 272, 270, 273, 4837, 9260, 888, 268, 476, 1691, 1215, 2178, 568, 476, 277, 7825, 4837, 888, 1692, 1454, 1281, 513, 8511, 2597, 888, 763, 968, 15551, 17920, 892, 8511, 630, 279, 9943, 278, 269, 276, 12664, 264, 22179, 827, 476, 18597, 7273, 5919, 938, 968, 300, 3633, 296, 9331, 892, 8511, 630, 279, 9943, 1321, 12664, 264, 22179, 538, 693, 2282, 476, 17168, 7273, 5919, 799, 2306, 938, 968, 299, 2752, 12283, 892, 1770, 630, 279, 9943, 1428, 12664, 264, 9260, 782, 540, 5111, 476, 23841, 7273, 563, 1692, 798, 596, 5173, 519, 2597, 540, 4837, 888, 9616, 267, 602, 519, 4463, 543, 8700, 1058, 581, 538, 7397, 543, 519, 4837, 11098, 1058, 581, 538, 1984, 22015, 637, 269, 2913, 779, 946, 713, 4542, 538, 606, 1383, 269, 589, 4837, 4062, 602, 568, 476, 277, 269, 4343, 7825, 5394, 543, 814, 513, 4463, 540, 476, 272, 269, 273, 332, 543, 8700, 540, 476, 272, 269, 277, 332, 786, 723, 513, 4837, 2597, 540, 9625, 1789, 269, 7830, 11899, 630, 272, 269, 273, 1535, 476, 272, 269, 277, 1535, 476, 277, 269, 4343, 1535, 476, 273, 269, 276, 815, 476, 1789, 269, 7830, 11899, 1916, 1692, 1454, 1281, 513, 4062, 540, 4837, 9260, 888, 288, 4009, 11281, 540, 2834, 610, 32319, 531, 4837, 609, 513, 11098, 540, 476, 273, 28935, 22179, 5111, 476, 1556, 6550, 610, 476, 276, 13532, 563, 1692, 1454, 1281, 513, 1804, 8511, 1942, 888, 4467, 14293, 3039, 17346, 8720, 811, 982, 476, 2004, 3952, 540, 2244, 616, 2808, 547, 581, 1804, 8397, 4559, 269, 4107, 2413, 1804, 8397, 4559, 616, 9280, 609, 513, 1297, 540, 29319, 267, 971, 607, 606, 12747, 14450, 1062, 267, 18519, 13294, 267, 11641, 838, 7590, 267, 3710, 2987, 12775, 1949, 267, 543, 811, 269, 4256, 3328, 1942, 6013, 1063, 1269, 9873, 876, 547, 1269, 7742, 876, 265, 563, 1692, 1454, 1281, 621, 1942, 547, 1628, 513, 8511, 689, 15072, 888, 16675, 5264, 8490, 8779, 634, 1942, 547, 1628, 513, 8511, 9832, 689, 1269, 276, 267, 1822, 547, 1269, 1839, 267, 4968, 267, 855, 519, 3328, 1942, 547, 1628, 513, 24015, 8704, 8511, 568, 1269, 1724, 267, 8660, 274, 269, 5851, 14935, 945, 1616, 547, 4020, 519, 8511, 593, 741, 1378, 2628, 607, 2370, 607, 1269, 274, 267, 4335, 610, 1447, 4470, 593, 519, 2326, 789, 3442, 563, 3674, 10917, 1229, 4837, 6793, 982, 32319, 4705, 888, 307, 11391, 1229, 4837, 267, 849, 1572, 27162, 1156, 539, 4837, 267, 568, 835, 540, 519, 23698, 2010, 540, 4837, 2139, 269, 769, 1249, 267, 621, 779, 909, 547, 2947, 2053, 9875, 982, 1034, 1866, 267, 1519, 32319, 4705, 4837, 269, 14732, 4705, 4837, 568, 1419, 1031, 538, 3688, 971, 607, 16979, 3591, 267, 22277, 9885, 267, 543, 25810, 9486, 563, 9989, 10917, 1229, 4837, 1039, 2597, 888, 307, 11391, 1229, 4837, 568, 811, 14463, 543, 476, 275, 2053, 607, 2178, 3379, 547, 3044, 4837, 269, 774, 1157, 518, 4837, 849, 568, 6793, 982, 25182, 4837, 543, 7028, 811, 2597, 563, 3674, 10917, 1229, 4837, 18219, 982, 32319, 4705, 888, 2304, 928, 4705, 4837, 2264, 568, 22799, 7444, 547, 14867, 7293, 17613, 1369, 519, 4837, 269, 7843, 335, 1229, 4837, 2264, 568, 12699, 1657, 519, 32319, 2718, 1448, 543, 22799, 6385, 609, 2011, 547, 3666, 519, 17613, 1369, 519, 4837, 269, 28088, 532, 538, 4837, 2264, 602, 568, 1896, 2053, 9875, 543, 513, 3787, 18219, 982, 32319, 4705, 4837, 563, 1432, 568, 519, 2597, 540, 476, 1321, 7825, 4837, 888, 1321, 7825, 4837, 22179, 476, 1789, 4846, 8276, 273, 563, 1692, 666, 594, 5173, 2597, 888, 26574, 568, 513, 2268, 540, 519, 3196, 540, 8904, 17444, 1524, 593, 606, 1843, 269, 898, 5673, 593, 519, 1843, 779, 2527, 543, 519, 10231, 1813, 547, 8904, 267, 799, 568, 476, 280, 269, 279, 544, 4882, 273, 593, 3047, 269, 634, 4542, 585, 12719, 2597, 568, 674, 815, 544, 6398, 476, 280, 269, 279, 544, 4882, 273, 267, 1141, 674, 568, 519, 1843, 779, 2597, 538, 1715, 27971, 630, 301, 264, 543, 544, 568, 519, 1843, 779, 2527, 538, 13532, 563, 3963, 568, 621, 1572, 10581, 4837, 888, 293, 5979, 520, 4837, 7640, 525, 922, 2189, 2012, 547, 519, 1184, 676, 799, 621, 568, 14475, 13296, 519, 25183, 4837, 568, 5189, 883, 513, 8602, 540, 25183, 17646, 267, 4929, 519, 4837, 547, 10581, 11884, 563, 1432, 1281, 10917, 1229, 4837, 1942, 888, 4002, 3328, 267, 10917, 1229, 4837, 666, 1942, 9170, 689, 1269, 1015, 547, 1269, 3374, 266, 829, 4009, 3723, 267, 4470, 593, 519, 2450, 543, 11098, 563, 1692, 1454, 1281, 476, 272, 270, 273, 4837, 9260, 888, 272, 270, 273, 892, 815, 476, 277, 269, 7918, 7273, 269, 13483, 269, 10264, 563, 1692, 2178, 568, 476, 277, 7825, 4837, 888, 277, 7825, 29110, 326, 1156, 539, 19371, 568, 909, 547, 2947, 2053, 6793, 982, 8723, 630, 15615, 264, 4837, 540, 519, 1482, 11098, 269, 5221, 540, 922, 2799, 4222, 267, 29110, 326, 1156, 539, 19371, 2636, 16413, 543, 26767, 2484, 3152, 9165, 538, 741, 946, 540, 4837, 538, 5656, 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 ]
[ 543, 3379, 547, 519, 6740, 19474, 267, 2357, 4328, 13597, 1510, 13031, 519, 4890, 10957, 269, 901, 695, 3658, 6213, 1344, 689, 1761, 23563, 563, 19723, 4328, 23204, 3690, 13905, 454, 1103, 9893, 267, 1141, 11413, 543, 3354, 616, 14063, 267, 590, 11190, 476, 16348, 6763, 607, 513, 22294, 269, 898, 779, 1031, 538, 519, 6169, 6361, 22086, 7271, 547, 13182, 543, 3095, 8852, 883, 7161, 269, 3962, 1007, 3625, 779, 19474, 3568, 519, 3105, 3625, 779, 19474, 267, 2870, 606, 1799, 17014, 5832, 269, 634, 590, 11190, 268, 16348, 5690, 5849, 519, 11007, 543, 8699, 540, 519, 3003, 9893, 3060, 563, 3674, 519, 590, 11190, 16348, 23990, 3117, 30872, 24344, 888, 8133, 267, 519, 590, 11190, 268, 16348, 5690, 568, 4867, 2808, 5150, 585, 1034, 4052, 5301, 269, 1306, 5941, 4505, 267, 621, 19646, 2178, 6939, 4919, 3601, 267, 1519, 16580, 4187, 543, 519, 1285, 23750, 3832, 1198, 267, 1818, 621, 3810, 11259, 547, 6285, 563, 21132, 476, 16348, 19229, 3977, 2450, 2488, 1082, 2009, 19474, 2418, 267, 1818, 1490, 1393, 268, 4403, 6285, 5393, 2352, 269, 1717, 267, 607, 2029, 8441, 267, 1761, 16426, 1223, 10836, 1813, 547, 2799, 12985, 1379, 610, 3209, 4323, 2553, 269, 2755, 519, 590, 11190, 476, 16348, 14238, 3788, 7347, 585, 1082, 3156, 267, 5571, 1382, 543, 13350, 10311, 2327, 602, 6939, 4919, 6620, 3136, 547, 2743, 9687, 3354, 2591, 269, 15303, 20802, 543, 3173, 267, 4061, 267, 16111, 6895, 971, 6620, 585, 1761, 12755, 563, 28082, 20043, 1299, 15080, 593, 12229, 7177, 454, 763, 590, 11190, 476, 16348, 5690, 568, 513, 7986, 6939, 4919, 19474, 1599, 538, 3059, 3354, 269, 4706, 7347, 1145, 543, 4187, 547, 16580, 6285, 1118, 621, 513, 9053, 3903, 585, 1585, 3156, 267, 8151, 689, 3059, 22782, 543, 9893, 2029, 547, 10957, 814, 3107, 543, 1239, 8699, 19027, 563, 306, 11190, 268, 16348, 12958, 513, 6378, 20695, 19474, 1871, 540, 476, 16348, 11353, 267, 4180, 513, 1164, 4110, 540, 22464, 543, 9048, 951, 2225, 267, 3976, 14123, 5150, 1239, 6771, 543, 4859, 269, 634, 5690, 779, 7839, 10073, 538, 1585, 6080, 19156, 922, 4644, 538, 17420, 6213, 1344, 543, 6830, 4328, 14590, 3800, 563, 2026, 2029, 8441, 267, 519, 10083, 543, 3498, 540, 590, 11190, 476, 16348, 2611, 15747, 538, 30176, 519, 3741, 540, 22637, 267, 8699, 267, 543, 13597, 538, 519, 3059, 5251, 563, 21761, 18542, 5999, 454, 1432, 568, 590, 11190, 476, 16348, 14238, 888, 306, 11190, 268, 16348, 630, 20376, 675, 25300, 23990, 476, 16348, 19229, 264, 568, 711, 606, 14238, 5690, 855, 2864, 513, 6939, 4919, 19474, 1599, 269, 9521, 14238, 267, 814, 3107, 568, 513, 835, 17574, 1184, 267, 543, 519, 3312, 1239, 3112, 581, 27366, 689, 519, 19474, 1871, 563, 1692, 547, 1232, 1712, 32518, 3722, 590, 11190, 268, 16348, 2228, 888, 295, 300, 3722, 590, 11190, 476, 16348, 666, 581, 1232, 10757, 2228, 609, 606, 32518, 3722, 4149, 11190, 268, 16348, 2228, 11718, 1907, 563, 3674, 590, 11190, 476, 16348, 19474, 31181, 888, 306, 11190, 268, 16348, 13333, 607, 513, 835, 17574, 19474, 1599, 267, 4180, 602, 10941, 532, 519, 19474, 547, 3489, 519, 3355, 1239, 568, 1939, 14260, 4652, 29342, 1043, 269, 901, 7915, 8984, 10597, 519, 3354, 543, 10727, 540, 19474, 3252, 267, 17021, 873, 19038, 585, 4247, 899, 3059, 22782, 543, 10957, 814, 3107, 267, 1141, 1239, 8699, 568, 14063, 563, 12663, 590, 11190, 476, 16348, 581, 7745, 888, 306, 11190, 268, 16348, 3112, 581, 7745, 543, 5170, 547, 581, 4922, 1031, 585, 6939, 4919, 5301, 269, 1717, 267, 1256, 1498, 1100, 7525, 16426, 616, 1634, 585, 590, 11190, 268, 16348, 267, 519, 1761, 585, 2104, 7835, 538, 7384, 1223, 1764, 922, 3354, 269, 9747, 267, 9363, 8242, 609, 519, 5767, 7835, 538, 6939, 4919, 1382, 568, 19624, 269, 0, 8139, 519, 27427, 270, 7709, 2203, 538, 2780, 5121, 568, 1898, 585, 3060, 9946, 267, 9367, 267, 543, 4896, 15025, 609, 2780, 5121, 269, 898, 3217, 513, 7787, 1935, 547, 3060, 2792, 543, 6087, 3728, 543, 4096, 762, 1239, 4483, 2066, 519, 4950, 563, 1607, 5816, 786, 1865, 519, 6106, 543, 10873, 540, 519, 27427, 270, 7709, 2203, 543, 875, 621, 1568, 563, 1432, 1772, 27427, 270, 7709, 7844, 888, 763, 27427, 270, 7709, 2203, 538, 2780, 5121, 1754, 985, 1239, 20049, 1063, 5904, 543, 824, 3457, 998, 5121, 267, 1034, 16113, 519, 4950, 269, 898, 3217, 922, 2012, 689, 922, 1079, 1292, 10873, 267, 27427, 543, 7379, 269, 634, 1459, 4950, 6189, 8185, 12346, 593, 519, 2947, 2389, 328, 1229, 27427, 270, 7709, 5943, 563, 763, 9577, 540, 27427, 270, 7709, 454, 2080, 616, 930, 540, 519, 1919, 602, 27427, 270, 7709, 1281, 912, 268, 30216, 513, 4015, 540, 3044, 2213, 2792, 10873, 602, 1450, 3457, 547, 5968, 936, 519, 4950, 563, 268, 6601, 6545, 1239, 883, 21168, 543, 556, 553, 5145, 956, 873, 693, 519, 10278, 563, 268, 30216, 5470, 7020, 543, 7816, 547, 10018, 1239, 8699, 563, 268, 30216, 2095, 2359, 547, 2061, 1239, 2530, 1813, 547, 20316, 563, 268, 30216, 5466, 543, 23332, 547, 10018, 602, 1239, 568, 9447, 547, 519, 1697, 10278, 563, 268, 30216, 513, 4096, 762, 267, 4276, 15129, 3560, 4494, 630, 307, 9573, 264, 609, 606, 18633, 267, 4276, 1652, 3060, 4494, 630, 7709, 994, 268, 2037, 1963, 2792, 2066, 3457, 609, 9867, 8800, 543, 3301, 1305, 5725, 454, 268, 30216, 513, 4493, 585, 1082, 824, 4950, 10873, 543, 3156, 267, 971, 607, 26824, 267, 674, 9143, 267, 543, 15382, 9143, 454, 21008, 532, 27427, 543, 7379, 454, 2080, 568, 513, 3349, 602, 9034, 2478, 519, 1292, 3604, 1063, 27427, 543, 7379, 912, 347, 17809, 1938, 4096, 762, 267, 22555, 267, 543, 5470, 19295, 22486, 3892, 540, 1239, 454, 347, 17809, 1938, 1655, 3887, 742, 677, 6765, 540, 1239, 454, 347, 7093, 24000, 3060, 20316, 676, 3246, 2095, 543, 20316, 1852, 454, 347, 9989, 711, 1331, 1022, 2409, 585, 15725, 6808, 610, 4227, 20316, 454, 347, 23330, 919, 693, 519, 3560, 4494, 540, 519, 744, 10485, 2203, 454, 347, 23330, 919, 693, 519, 3060, 4494, 540, 519, 744, 10485, 2203, 454, 763, 2475, 4972, 540, 16470, 630, 2710, 291, 264, 2813, 519, 27427, 270, 7709, 7014, 10518, 607, 513, 851, 540, 519, 8121, 303, 3198, 4953, 11036, 538, 519, 476, 3192, 271, 338, 269, 898, 13408, 519, 3498, 4494, 267, 519, 3560, 4494, 267, 519, 4950, 4494, 267, 543, 519, 3060, 1569, 4494, 269, 634, 5943, 779, 1930, 267, 27249, 267, 543, 8831, 762, 2470, 2306, 621, 2009, 547, 6338, 1007, 10873, 607, 2838, 269, 634, 744, 10485, 2203, 267, 513, 5722, 2000, 9707, 3044, 585, 2780, 1062, 2792, 267, 5713, 607, 922, 5748, 269, 27427, 270, 7709, 814, 22734, 1896, 2242, 267, 609, 7379, 341, 277, 1373, 519, 1034, 2487, 269, 7379, 341, 277, 20546, 525, 7379, 341, 275, 779, 9993, 267, 7175, 513, 8273, 2232, 2230, 267, 2799, 3354, 267, 543, 1732, 954, 6016, 1464, 609, 5985, 3457, 563, 299, 16558, 22490, 585, 519, 744, 10485, 7844, 454, 2080, 616, 519, 5722, 6106, 540, 519, 744, 10485, 2203, 912, 268, 23771, 476, 272, 281, 13335, 23771, 1107, 2488, 2533, 547, 519, 3593, 543, 3156, 454, 268, 23771, 476, 273, 281, 19809, 23771, 1107, 18922, 1239, 1063, 519, 3498, 543, 3060, 12043, 454, 268, 23771, 476, 274, 281, 29140, 23771, 1107, 21314, 2792, 7886, 1063, 3156, 454, 268, 23771, 476, 275, 281, 13255, 23771, 1107, 2488, 6325, 1239, 4483, 1063, 14747, 454, 268, 23771, 476, 276, 281, 8416, 23771, 1107, 11507, 1239, 1063, 5121, 454, 268, 23771, 476, 277, 281, 4578, 13017, 23771, 1107, 2488, 6325, 1239, 4483, 1063, 11105, 9136, 454, 268, 23771, 476, 278, 281, 8447, 23771, 1107, 18993, 1080, 6151, 3787, 12535, 936, 2168, 2923, 454, 23322, 2524, 540, 519, 27427, 270, 7709, 7844, 454, 2080, 616, 930, 540, 519, 2934, 540, 519, 27427, 270, 7709, 2203, 912, 268, 589, 30305, 5943, 12270, 519, 3309, 3252, 540, 13033, 883, 3982, 2157, 454, 268, 589, 7014, 10518, 10747, 519, 6283, 540, 1239, 2066, 519, 4950, 563, 268, 1323, 1930, 3044, 4922, 1031, 543, 6462, 676, 1082, 3549, 543, 14540, 563, 268, 589, 8465, 2203, 602, 666, 581, 9168, 547, 3875, 12204, 540, 5121, 543, 3156, 454, 268, 589, 27249, 1935, 8383, 908, 5121, 540, 9867, 7306, 543, 10848, 454, 268, 589, 22973, 2203, 5627, 5470, 7020, 543, 7816, 5773, 547, 2226, 1239, 8699, 563, 268, 589, 4276, 15129, 1935, 2679, 513, 5691, 5547, 1063, 1079, 1439, 9557, 585, 6325, 1239, 4483, 630, 514, 519, 2013, 540, 27427, 994, 268, 589, 4276, 1652, 5943, 602, 1281, 711, 4020, 513, 5691, 5547, 543, 6087, 18334, 1239, 4483, 630, 514, 519, 2013, 540, 772, 7894, 994, 21982, 909, 519, 9457, 540, 3163, 538, 8950, 3163, 689, 700, 297, 300, 308, 666, 581, 513, 1390, 1900, 2509, 1565, 519, 2203, 2497, 267, 922, 6106, 543, 3156, 538, 1469, 269, 634, 10872, 6663, 547, 1020, 4052, 1702, 543, 1983, 538, 2324, 4648, 563, 763, 27427, 270, 7709, 7844, 700, 16558, 454, 2467, 616, 2185, 6106, 540, 519, 27427, 270, 7709, 4704, 2203, 912, 268, 13335, 23771, 281, 8416, 2533, 585, 8924, 616, 3177, 676, 519, 3498, 4494, 269, 634, 26824, 267, 674, 9143, 267, 15382, 9143, 267, 543, 22665, 10873, 616, 1851, 873, 563, 268, 13255, 23771, 281, 634, 3560, 4494, 5849, 602, 1239, 568, 28761, 543, 3927, 2366, 1063, 3457, 269, 7324, 519, 10873, 3769, 616, 27427, 630, 9558, 3939, 6513, 16257, 264, 543, 772, 7894, 630, 27165, 13096, 8183, 16257, 1916, 268, 5769, 23771, 281, 4578, 21168, 616, 9619, 267, 3535, 539, 267, 543, 27929, 936, 1585, 5121, 3842, 519, 5769, 4494, 269, 8298, 673, 5466, 543, 23332, 616, 3177, 3842, 7379, 630, 25542, 16257, 1916, 268, 8416, 7457, 23771, 281, 901, 4494, 267, 3006, 1572, 519, 3095, 4494, 610, 1239, 3095, 4494, 267, 20362, 519, 2168, 4483, 540, 1239, 936, 519, 3060, 269, 898, 5161, 540, 10873, 602, 7291, 1239, 6771, 998, 2168, 2923, 899, 25494, 610, 15261, 19712, 563, 27735, 540, 27427, 270, 7709, 454, 307, 9573, 270, 7709, 568, 1898, 585, 1896, 4128, 912, 268, 9208, 5314, 281, 27427, 270, 7709, 3947, 513, 1305, 540, 3044, 2409, 4180, 782, 3457, 593, 519, 4950, 666, 2170, 609, 835, 1776, 563, 268, 4039, 6636, 281, 27427, 270, 7709, 5849, 602, 1239, 568, 2366, 538, 519, 2953, 1931, 543, 602, 4503, 21168, 616, 556, 20675, 4784, 547, 1683, 7123, 3346, 1063, 3457, 563, 268, 2480, 531, 1464, 281, 27427, 270, 7709, 666, 6023, 1804, 5666, 540, 1239, 543, 581, 1031, 538, 5121, 540, 1022, 2450, 267, 21806, 540, 922, 27249, 2470, 563, 268, 8232, 281, 1677, 2149, 1239, 1247, 621, 568, 1373, 6410, 2066, 519, 4950, 267, 27427, 270, 7709, 2882, 1896, 3354, 2934, 267, 971, 607, 14238, 543, 17452, 563, 1103, 5937, 655, 663, 12229, 4886, 10341, 454, 18850, 8012, 9737, 744, 10485, 7844, 543, 27427, 270, 7709, 7844, 454, 2080, 568, 513, 9184, 983, 6476, 1063, 519, 744, 10485, 543, 27427, 270, 7709, 2203, 912, 347, 17653, 545, 543, 7014, 4830, 454, 347, 24092, 10873, 2919, 676, 519, 5769, 454, 347, 17809, 1938, 513, 12497, 5943, 585, 3060, 2792, 454, 347, 2005, 2337, 3313, 875, 513, 2780, 1058, 581, 4448, 547, 519, 4950, 454, 347, 17809, 1938, 513, 9266, 543, 12497, 2203, 454, 347, 5327, 32606, 2489, 4808, 585, 8888, 543, 7598, 2780, 10873, 454, 347, 10376, 4494, 814, 513, 1808, 1599, 454, 347, 294, 12952, 2789, 3252, 883, 2582, 6106, 454, 1432, 1684, 519, 27427, 270, 7709, 700, 16558, 1684, 888, 2080, 616, 519, 3252, 540, 2185, 27427, 270, 7709, 7014, 6106, 912, 268, 13335, 23771, 281, 30216, 3156, 609, 3044, 2213, 1239, 4483, 269, 634, 26824, 267, 674, 9143, 267, 15382, 9143, 267, 543, 19301, 6573, 10873, 616, 1031, 563, 268, 13255, 23771, 281, 634, 3560, 4494, 540, 513, 3060, 20362, 1239, 4096, 1464, 267, 2095, 2359, 267, 543, 1239, 15494, 269, 7324, 922, 10873, 616, 27427, 543, 772, 7894, 563, 268, 5769, 23771, 281, 634, 4950, 4494, 3560, 338, 21168, 2066, 5121, 269, 634, 7379, 267, 8121, 303, 267, 543, 15096, 6573, 10873, 616, 1031, 563, 268, 8416, 7457, 23771, 281, 634, 3060, 1569, 4494, 20362, 1239, 4483, 1063, 3457, 5532, 547, 519, 1482, 3060, 269, 4706, 10873, 1331, 25494, 543, 15261, 19712, 563, 9596, 12229, 4886, 20043, 2228, 689, 519, 2622, 779, 1283, 29550, 269, 2423, 333, 15445, 623, 294, 15789, 267, 11628, 25890, 15789, 610, 27587, 15789, 547, 3728, 13652, 1188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 338, 815, 1412, 2791, 949, 991, 547, 2490, 519, 5569, 883, 606, 5044, 1354, 596, 666, 9258, 621, 9538, 11468, 18737, 272, 2639, 2745, 630, 338, 9239, 0, 5035, 21998, 912, 825, 8173, 825, 9577, 543, 2409, 827, 6486, 454, 825, 29185, 825, 5119, 815, 1496, 454, 1038, 22373, 288, 806, 2580, 1496, 272, 267, 476, 1556, 3910, 834, 288, 257, 16689, 1038, 22373, 10521, 2580, 476, 273, 267, 834, 273, 257, 16689, 1038, 22373, 16248, 2580, 476, 274, 267, 834, 274, 257, 16689, 1038, 22373, 19177, 2580, 476, 275, 267, 834, 275, 257, 16689, 1038, 22373, 26668, 2580, 476, 276, 267, 834, 276, 257, 16689, 1038, 22373, 306, 1460, 2580, 476, 277, 267, 834, 277, 257, 16689, 1038, 22373, 5353, 1597, 2580, 476, 278, 267, 834, 278, 257, 16689, 1038, 22373, 292, 697, 2580, 476, 279, 267, 834, 279, 257, 16689, 1038, 22373, 301, 710, 2580, 476, 280, 267, 834, 280, 257, 16689, 1038, 22373, 307, 523, 2580, 476, 1015, 267, 834, 1015, 257, 16689, 1038, 22373, 11749, 564, 2580, 476, 1015, 267, 834, 297, 257, 16689, 1038, 22373, 20075, 523, 2580, 476, 1015, 267, 834, 304, 257, 16689, 1038, 22373, 21914, 2580, 476, 1015, 267, 834, 298, 31116, 825, 476, 6540, 825, 7711, 18878, 24709, 454, 825, 1219, 1397, 6831, 731, 6262, 731, 2187, 1038, 8173, 1038, 2433, 8873, 513, 3556, 6041, 454, 1038, 29185, 1038, 2119, 912, 2018, 2132, 1496, 14277, 268, 910, 910, 910, 2580, 834, 347, 672, 1923, 2580, 535, 257, 347, 2715, 343, 314, 273, 316, 348, 476, 1923, 2580, 834, 347, 672, 1923, 2580, 29038, 910, 910, 910, 19312, 952, 1535, 314, 271, 316, 2652, 834, 307, 523, 4840, 7386, 3116, 22373, 268, 910, 910, 910, 2580, 834, 347, 672, 1923, 2580, 535, 257, 347, 476, 2715, 343, 314, 273, 316, 348, 476, 1923, 2580, 834, 347, 672, 1923, 2580, 29038, 910, 910, 910, 31116, 7386, 585, 1535, 538, 3556, 6540, 1038, 4849, 912, 2018, 1820, 2891, 13286, 281, 1397, 6831, 731, 3890, 5602, 0, 5228, 524, 338, 2004, 1104, 1205, 23952, 454, 5228, 19523, 1104, 2415, 341, 454, 5814, 5569, 7531, 3698, 1292, 3890, 1384, 825, 1948, 10992, 585, 519, 3259, 540, 2415, 341, 454, 825, 952, 7003, 263, 1173, 341, 264, 2652, 476, 273, 1384, 1038, 1948, 3843, 952, 519, 3758, 10741, 454, 1038, 2119, 1384, 2018, 1948, 6679, 519, 3758, 547, 513, 4756, 454, 2018, 546, 2109, 815, 1930, 263, 1173, 341, 314, 272, 3910, 834, 337, 15419, 2018, 1948, 26471, 1169, 2262, 538, 1142, 1899, 547, 513, 1592, 454, 2018, 30458, 815, 546, 2109, 18667, 6050, 4590, 2018, 546, 2109, 25379, 10797, 2018, 1948, 10747, 2973, 318, 874, 19189, 607, 513, 1592, 454, 2018, 2973, 318, 874, 19189, 815, 29129, 2018, 1948, 3478, 519, 8360, 547, 524, 16428, 454, 2018, 1820, 2891, 1432, 5048, 1131, 596, 899, 547, 524, 16428, 286, 5602, 2018, 8360, 815, 630, 1326, 23952, 2891, 8442, 1040, 20889, 10797, 2018, 1948, 585, 1142, 2262, 538, 519, 8360, 2638, 621, 454, 2018, 585, 2262, 538, 8360, 1384, 3546, 1948, 1599, 2638, 3217, 538, 519, 2262, 543, 519, 1592, 543, 813, 1742, 621, 547, 519, 2973, 318, 874, 19189, 1592, 454, 3546, 2973, 318, 874, 19189, 6910, 263, 13765, 27182, 267, 30458, 11723, 2018, 1948, 556, 14765, 1231, 519, 8360, 607, 829, 4170, 609, 513, 2230, 538, 24992, 1142, 2262, 454, 2018, 1820, 2891, 834, 269, 21860, 263, 30236, 318, 874, 19189, 11723, 1038, 1948, 952, 621, 3085, 1405, 1930, 267, 621, 3947, 744, 10345, 337, 2928, 799, 568, 9575, 609, 713, 454, 1038, 4849, 744, 10345, 337, 2928, 1384, 2018, 1820, 2891, 6701, 596, 2386, 519, 2619, 547, 519, 3758, 568, 519, 1318, 835, 267, 543, 519, 3758, 568, 28505, 286, 5602, 2018, 14827, 263, 272, 2020, 825, 3116, 1384, 1038, 1820, 2891, 5825, 720, 281, 9226, 536, 2748, 18258, 9625, 270, 323, 5315, 5602, 1038, 14827, 263, 272, 9239, 3698, 2638, 27182, 267, 30458, 17107, 825, 585, 1913, 538, 30458, 1384, 1038, 1948, 585, 1142, 2262, 538, 1592, 2638, 952, 538, 30087, 568, 519, 1482, 454, 1038, 952, 2262, 31573, 3890, 2652, 1913, 14714, 8692, 3890, 1384, 2018, 1948, 3977, 3217, 519, 3259, 540, 519, 1699, 2262, 16611, 676, 27661, 2018, 3977, 815, 834, 265, 257, 2608, 7003, 27182, 994, 2018, 2132, 3977, 692, 825, 1948, 952, 1100, 2262, 568, 1336, 538, 519, 1592, 2132, 621, 607, 568, 454, 825, 2132, 2262, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5035, 10960, 10031, 825, 1948, 23322, 2524, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 7953, 267, 4064, 267, 804, 1177, 572, 267, 17705, 2187, 1038, 1582, 269, 5586, 338, 815, 7953, 454, 1038, 1582, 4318, 13433, 815, 4064, 454, 1038, 1582, 17085, 9155, 815, 804, 1177, 572, 454, 1038, 1582, 6745, 7360, 815, 17705, 7531, 825, 1948, 6826, 6409, 328, 2293, 692, 258, 4131, 781, 1711, 606, 3236, 540, 606, 10960, 1843, 563, 534, 2711, 272, 815, 10960, 263, 5586, 338, 8782, 279, 3299, 4064, 8782, 279, 3299, 804, 1177, 572, 8782, 1839, 3299, 17705, 8782, 5591, 5073, 2745, 263, 6943, 263, 534, 2711, 272, 4917, 2745, 263, 534, 2711, 272, 2020, 534, 2711, 273, 815, 10960, 263, 5586, 338, 8782, 275, 3299, 4064, 8782, 275, 3299, 804, 1177, 572, 8782, 14085, 3299, 17705, 8782, 8133, 5073, 2745, 263, 6943, 263, 534, 2711, 273, 4917, 2745, 263, 534, 2711, 273, 264, 0, 258, 11822, 12430, 22953, 1923, 21844, 364, 482, 21498, 357, 10563, 482, 510, 425, 502, 499, 29030, 504, 490, 422, 371, 478, 454, 258, 4179, 2517, 4178, 269, 2692, 739, 322, 6847, 3820, 270, 2967, 18891, 270, 937, 675, 270, 275, 1240, 4510, 270, 692, 5814, 21723, 6503, 607, 23686, 692, 258, 3403, 1299, 3977, 454, 343, 12774, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 344, 12774, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 6540, 258, 586, 815, 654, 343, 1341, 536, 454, 310, 815, 23686, 17679, 926, 762, 263, 273, 269, 280, 264, 1948, 10563, 508, 482, 14602, 502, 14602, 502, 19461, 21844, 364, 496, 14602, 482, 10563, 482, 372, 425, 490, 483, 17432, 357, 454, 321, 815, 23686, 17679, 926, 762, 263, 271, 269, 276, 2020, 258, 21844, 364, 478, 424, 482, 353, 476, 17432, 357, 424, 486, 502, 1923, 586, 815, 654, 343, 1341, 536, 454, 1506, 13607, 4185, 815, 654, 2608, 1535, 12774, 1341, 536, 692, 258, 14091, 373, 482, 424, 504, 358, 476, 17432, 357, 424, 486, 502, 1923, 630, 1506, 13607, 4185, 910, 586, 8203, 273, 14602, 502, 29030, 493, 487, 422, 371, 510, 454, 322, 739, 815, 23686, 18622, 706, 576, 318, 11743, 6025, 325, 4732, 13645, 263, 1506, 13607, 4185, 910, 586, 12774, 4297, 0, 258, 11554, 609, 26417, 6119, 282, 2870, 543, 11049, 692, 5814, 26417, 454, 12163, 5976, 1930, 3488, 11907, 27406, 3299, 1412, 342, 10807, 607, 3758, 912, 825, 5856, 815, 26417, 9884, 31581, 31526, 994, 825, 5856, 9884, 31581, 578, 8443, 262, 10520, 9146, 16182, 3299, 1412, 28237, 16182, 3299, 1412, 28237, 318, 23748, 262, 7481, 825, 5856, 9884, 31581, 578, 8443, 1911, 271, 267, 476, 272, 267, 476, 1015, 7481, 825, 5856, 9884, 31581, 578, 8443, 1911, 272, 267, 476, 273, 267, 476, 1428, 7481, 12163, 5976, 1930, 3488, 11907, 27406, 10807, 607, 3758, 912, 825, 5467, 815, 26417, 18667, 518, 31526, 994, 258, 825, 1820, 17338, 263, 1348, 518, 4917, 825, 585, 4737, 538, 5467, 912, 1038, 1820, 21405, 994, 0, 320, 815, 1496, 272, 267, 476, 273, 267, 476, 1321, 267, 476, 275, 2639, 321, 815, 1496, 273, 267, 476, 275, 267, 476, 273, 267, 476, 279, 6540, 25346, 7272, 6055, 815, 476, 271, 454, 604, 7003, 5416, 264, 2652, 7003, 6357, 2187, 825, 585, 1775, 538, 2039, 12759, 5416, 15892, 1038, 12297, 7272, 6055, 6834, 513, 5157, 316, 2608, 536, 5157, 2639, 825, 1820, 5560, 582, 7272, 6055, 994, 12828, 912, 825, 1820, 2891, 309, 26662, 616, 540, 1114, 3259, 32405, 0, 5228, 10518, 1104, 29571, 692, 3698, 568, 8548, 2255, 6025, 641, 267, 30726, 2187, 1038, 952, 1283, 2652, 834, 2891, 543, 1915, 2652, 8442, 13426, 2018, 2132, 6936, 454, 1038, 8640, 1283, 2652, 834, 346, 257, 543, 1915, 2652, 257, 348, 13426, 2018, 2132, 6936, 454, 1038, 8640, 1283, 2652, 834, 14277, 543, 1915, 2652, 19312, 13426, 2018, 2132, 6936, 454, 1363, 8528, 3698, 2638, 318, 25270, 7272, 1861, 4185, 263, 10012, 23952, 2187, 825, 4994, 815, 476, 271, 3097, 825, 521, 815, 29571, 4590, 825, 568, 318, 29446, 815, 6936, 454, 825, 1247, 4994, 2999, 7003, 263, 10012, 23952, 264, 543, 568, 318, 29446, 912, 1038, 30822, 815, 30822, 23952, 27709, 2639, 1038, 952, 30822, 538, 834, 20719, 314, 13426, 25639, 521, 4877, 2313, 263, 10012, 994, 1038, 3116, 10778, 2018, 952, 521, 18994, 318, 24105, 10031, 3546, 568, 318, 29446, 815, 8771, 3097, 2018, 3116, 10778, 3546, 1283, 815, 521, 21014, 4590, 3546, 952, 711, 568, 8548, 2255, 6025, 641, 267, 10012, 2187, 7386, 568, 318, 29446, 815, 8771, 454, 1038, 4994, 6834, 476, 272, 454, 27030, 825, 952, 521, 18994, 318, 24105, 3890, 543, 568, 318, 29446, 912, 1038, 2132, 834, 763, 2385, 4185, 538, 519, 5569, 568, 7059, 4799, 825, 3116, 912, 1038, 2132, 834, 763, 2385, 4185, 538, 519, 5569, 568, 711, 7059, 4799, 2018, 454, 2745, 263, 13765, 318, 25270, 7272, 1861, 4185, 2891, 14963, 316, 24001, 8442, 2020, 22322, 476, 7531, 0, 5035, 19219, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8562, 983, 299, 22075, 8266, 10031, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 815, 7183, 22562, 825, 1219, 16289, 4311, 267, 11907, 2187, 1038, 952, 711, 1582, 23584, 10778, 2018, 1582, 23584, 815, 19219, 16597, 994, 2018, 1582, 23584, 12785, 815, 1582, 23584, 454, 1038, 3116, 912, 2018, 1007, 815, 19219, 16597, 994, 2018, 1225, 815, 1582, 23584, 454, 2018, 1247, 1225, 12785, 11203, 1582, 23584, 912, 3546, 1225, 815, 1225, 12785, 454, 2018, 1225, 12785, 815, 1007, 454, 2018, 1007, 12785, 815, 1582, 23584, 28329, 825, 1219, 1820, 8217, 4311, 2187, 1038, 1225, 815, 1582, 23584, 454, 1038, 1247, 1225, 912, 2018, 1820, 263, 2017, 21606, 994, 2018, 1225, 815, 1225, 12785, 454, 2018, 952, 1225, 2652, 1582, 23584, 912, 3546, 2736, 692, 825, 1219, 3341, 754, 4311, 267, 1239, 2187, 1038, 1007, 815, 19219, 16597, 994, 1038, 1225, 815, 1582, 23584, 454, 1038, 1007, 12785, 815, 1582, 23584, 454, 1038, 952, 711, 1582, 23584, 912, 2018, 1007, 12785, 815, 1007, 8542, 1712, 454, 1038, 3116, 912, 2018, 1247, 1225, 12785, 11203, 1582, 23584, 912, 3546, 1225, 815, 1225, 12785, 454, 2018, 1225, 12785, 815, 1007, 454, 2018, 1582, 23584, 815, 1007, 692, 825, 1219, 4894, 17045, 4311, 267, 1883, 2187, 1038, 952, 1582, 23584, 21606, 2652, 1883, 912, 2018, 1225, 815, 1582, 23584, 454, 2018, 1247, 1225, 12785, 11203, 1582, 23584, 912, 3546, 1225, 815, 1225, 12785, 3097, 2018, 1225, 12785, 815, 1582, 23584, 12785, 454, 2018, 1582, 23584, 815, 1582, 23584, 12785, 454, 1038, 3116, 912, 2018, 1225, 815, 1582, 23584, 454, 2018, 7173, 815, 7183, 454, 2018, 1247, 1225, 12785, 11203, 1582, 23584, 912, 3546, 7173, 815, 1225, 454, 3546, 1225, 815, 1225, 12785, 454, 3546, 952, 1225, 21606, 2652, 1883, 912, 7386, 7173, 12785, 815, 1225, 12785, 454, 7386, 1225, 815, 1225, 12785, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 1225, 815, 1582, 23584, 454, 1038, 1293, 815, 476, 272, 454, 1038, 1247, 1225, 12785, 11203, 1582, 23584, 912, 2018, 1293, 6834, 476, 272, 454, 2018, 1225, 815, 2017, 12785, 454, 1038, 2132, 1293, 692, 825, 1219, 8237, 4311, 17107, 1038, 952, 1582, 14857, 6352, 1029, 3890, 2652, 476, 271, 912, 19930, 2132, 7183, 454, 1038, 952, 1582, 14857, 6352, 1029, 3890, 2652, 476, 272, 912, 2018, 2132, 1582, 23584, 8528, 1038, 1225, 815, 1582, 23584, 454, 1038, 7173, 815, 7183, 454, 1038, 3368, 815, 1582, 14857, 6352, 1029, 3890, 12262, 476, 273, 22322, 1038, 1293, 815, 476, 271, 11434, 28329, 1038, 1247, 1225, 543, 1293, 2999, 3368, 912, 2018, 7173, 815, 1225, 454, 2018, 1225, 815, 1225, 12785, 454, 2018, 1293, 6834, 476, 272, 692, 1038, 7173, 12785, 815, 1582, 23584, 3097, 1038, 8237, 6831, 743, 626, 815, 8562, 983, 299, 22075, 8266, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 305, 1442, 2575, 568, 513, 9135, 540, 2442, 2575, 602, 12090, 538, 519, 476, 4198, 271, 338, 543, 814, 2094, 7960, 547, 1331, 513, 2647, 2039, 540, 1016, 24932, 637, 269, 2311, 922, 4295, 267, 4224, 2575, 568, 6353, 676, 922, 946, 540, 28659, 3167, 7405, 267, 3226, 519, 13176, 267, 18369, 267, 543, 27120, 267, 607, 1134, 607, 922, 2178, 1394, 18566, 543, 8561, 593, 11733, 269, 9412, 2575, 3335, 2934, 513, 13047, 23260, 602, 568, 10483, 676, 13176, 2861, 31627, 267, 543, 922, 18405, 1419, 2232, 513, 2647, 2039, 540, 4798, 267, 971, 607, 2648, 267, 1514, 2152, 267, 543, 519, 1480, 1995, 269, 9412, 2575, 814, 1044, 1634, 547, 581, 3309, 543, 621, 814, 1044, 7683, 9687, 269, 2368, 540, 519, 2442, 1016, 24932, 637, 540, 4224, 2575, 1331, 5929, 4224, 267, 5230, 4496, 267, 5309, 330, 4224, 267, 4244, 4224, 267, 543, 967, 773, 4224, 269, 0, 2026, 519, 5177, 1519, 10430, 6238, 547, 4894, 519, 1857, 1072, 20038, 547, 3970, 519, 6771, 540, 13044, 268, 866, 3744, 723, 6659, 3978, 4145, 827, 1018, 4667, 547, 581, 519, 16126, 1631, 676, 2229, 593, 2048, 615, 323, 12046, 19028, 763, 1977, 4966, 1519, 20900, 590, 269, 674, 879, 857, 267, 631, 6185, 1421, 8689, 540, 519, 2817, 4659, 540, 30665, 543, 29956, 15302, 630, 301, 8656, 2839, 1070, 851, 540, 22078, 295, 267, 6424, 631, 269, 2859, 985, 267, 631, 6185, 1421, 9972, 3621, 25129, 547, 519, 715, 8656, 2839, 8689, 267, 543, 27068, 918, 269, 28477, 619, 267, 8783, 540, 5234, 547, 519, 715, 8656, 2839, 8689, 267, 1533, 602, 8236, 8106, 23636, 12046, 1996, 16568, 17336, 268, 273, 568, 12691, 267, 1813, 547, 513, 4999, 540, 2188, 602, 1331, 2934, 540, 519, 3644, 607, 1134, 607, 1699, 6848, 6384, 563, 15463, 323, 12046, 799, 814, 1044, 1634, 547, 723, 2640, 585, 930, 3676, 568, 1447, 3811, 609, 7929, 8290, 971, 607, 14798, 267, 799, 16111, 4573, 622, 563, 763, 2798, 6659, 676, 519, 3744, 1331, 912, 268, 519, 3644, 685, 2702, 547, 16111, 4573, 622, 547, 1007, 14726, 454, 268, 28105, 3644, 6771, 267, 799, 635, 27289, 1857, 1072, 1852, 2994, 454, 268, 519, 17418, 540, 1991, 3968, 610, 12674, 547, 1683, 14463, 4027, 1996, 5368, 325, 1254, 454, 268, 1016, 9953, 2711, 12674, 3795, 454, 268, 15984, 547, 1875, 14428, 29108, 11043, 7459, 563, 10932, 547, 1020, 3443, 2275, 528, 517, 8785, 10074, 267, 799, 1223, 2149, 1996, 2789, 8318, 822, 21905, 610, 693, 2547, 2789, 16568, 17336, 268, 273, 14726, 267, 3788, 2629, 563, 4517, 2161, 519, 3173, 621, 568, 2009, 547, 3136, 609, 13044, 268, 866, 1459, 1510, 1932, 1454, 17522, 547, 2950, 1317, 540, 930, 12046, 267, 25750, 543, 4152, 563, 29791, 281, 20336, 2859, 985, 1696, 620, 269, 634, 1523, 540, 8106, 23636, 12046, 949, 711, 4019, 547, 5046, 268, 866, 269, 634, 4750, 540, 29956, 15302, 20396, 281, 476, 1015, 269, 11820, 274, 270, 8882, 4134, 270, 10202, 659, 11820, 630, 1708, 273, 1916, 15463, 323, 12046, 666, 4755, 950, 267, 2899, 2348, 1185, 513, 2068, 267, 596, 666, 1406, 6952, 621, 1586, 269, 2334, 3884, 1406, 519, 2013, 609, 13044, 269, 898, 8952, 4657, 267, 543, 649, 666, 6952, 519, 1007, 14726, 269, 1924, 23636, 12046, 3085, 1406, 4019, 563, 763, 8185, 7783, 26586, 5328, 1591, 568, 606, 30299, 2370, 838, 644, 267, 3884, 1406, 621, 286, 634, 8631, 602, 3163, 11470, 8874, 616, 1500, 540, 563, 295, 836, 593, 513, 8792, 2507, 907, 933, 2461, 2713, 538, 835, 2560, 8117, 621, 779, 1249, 267, 711, 5708, 269, 0, 306, 15856, 730, 538, 5607, 267, 3127, 568, 519, 2034, 4102, 7573, 16073, 593, 519, 3618, 543, 519, 4182, 26328, 519, 5207, 5544, 538, 6935, 547, 7573, 18666, 269, 634, 7489, 4182, 6585, 513, 7882, 1054, 476, 2412, 260, 2671, 1369, 519, 3486, 7573, 16450, 543, 4095, 7573, 568, 2693, 835, 540, 519, 1082, 29436, 268, 5570, 617, 885, 602, 814, 606, 11999, 3747, 2429, 519, 8608, 563, 302, 9405, 547, 7050, 3747, 782, 936, 519, 1158, 267, 513, 5354, 540, 4095, 6705, 616, 7255, 538, 533, 23098, 14713, 543, 713, 6941, 519, 24117, 3297, 3127, 779, 536, 32658, 533, 23098, 7556, 21496, 563, 2414, 1118, 2386, 602, 519, 3003, 3132, 3884, 1406, 29633, 543, 15792, 13980, 3251, 585, 1753, 4616, 267, 519, 8191, 885, 540, 3127, 630, 32271, 296, 264, 22876, 999, 533, 23098, 689, 4095, 6705, 21496, 269, 1656, 538, 513, 476, 1321, 3275, 602, 814, 1044, 8966, 538, 782, 14621, 267, 689, 519, 6739, 12289, 540, 12907, 602, 22314, 519, 8244, 5832, 543, 14593, 513, 1297, 540, 6082, 593, 519, 1448, 540, 3665, 6980, 9568, 547, 20935, 2916, 6381, 602, 554, 2086, 1229, 1753, 5663, 267, 519, 8191, 885, 540, 3127, 779, 27147, 540, 533, 23098, 814, 1044, 909, 676, 476, 1724, 260, 1369, 519, 5571, 476, 1708, 273, 268, 2537, 918, 9618, 604, 10229, 543, 6725, 4005, 607, 829, 519, 1344, 9250, 676, 519, 2725, 1023, 7577, 540, 3127, 630, 293, 5746, 1916, 288, 6733, 2311, 634, 22955, 454, 17780, 593, 519, 25015, 9250, 1344, 676, 519, 2725, 1023, 7577, 540, 3127, 630, 293, 5746, 1070, 519, 8191, 885, 540, 3127, 779, 533, 23098, 27147, 1369, 519, 1459, 476, 1708, 273, 268, 2537, 918, 9618, 604, 4005, 6763, 693, 476, 4343, 269, 6187, 2929, 19726, 2394, 519, 476, 1556, 628, 540, 5412, 476, 1708, 273, 269, 14171, 713, 883, 7156, 609, 519, 476, 3451, 269, 7830, 2929, 19726, 540, 23184, 296, 779, 533, 23098, 27147, 3803, 476, 1321, 3275, 267, 972, 729, 513, 1448, 344, 2087, 540, 476, 1724, 260, 962, 334, 312, 563, 763, 4473, 538, 533, 23098, 23144, 906, 676, 519, 8191, 885, 540, 3127, 10525, 519, 23184, 296, 779, 8247, 547, 8362, 25579, 880, 922, 8843, 543, 952, 12665, 616, 547, 581, 5156, 267, 519, 8191, 885, 540, 3127, 779, 533, 23098, 27147, 786, 12492, 476, 3199, 2929, 19726, 676, 519, 9133, 540, 519, 1459, 918, 9618, 604, 4005, 563, 303, 23098, 1160, 10810, 906, 3245, 23570, 267, 670, 776, 3570, 267, 543, 20474, 24385, 340, 5455, 282, 24641, 1160, 10810, 906, 3245, 24505, 654, 5893, 525, 589, 13560, 6420, 454, 763, 4473, 538, 23184, 296, 779, 533, 23098, 23144, 906, 607, 8272, 549, 1042, 676, 519, 7194, 814, 1044, 607, 513, 12343, 540, 11506, 23144, 906, 689, 519, 2829, 540, 23570, 267, 670, 776, 3570, 267, 543, 20474, 24385, 340, 269, 16480, 267, 533, 23098, 23144, 906, 689, 31579, 541, 21423, 723, 8854, 1524, 563, 308, 1777, 541, 21423, 799, 8329, 476, 2537, 269, 6507, 2929, 19726, 3803, 476, 1321, 3275, 267, 19942, 856, 513, 803, 4526, 476, 736, 269, 6349, 2929, 19726, 2394, 5412, 476, 1556, 267, 476, 1708, 273, 269, 634, 2539, 31032, 268, 639, 783, 9295, 814, 1044, 607, 513, 1267, 540, 3668, 540, 30734, 11811, 1369, 519, 1533, 2429, 519, 3275, 540, 4873, 267, 5147, 267, 4864, 267, 543, 5181, 799, 3366, 547, 9991, 538, 533, 23098, 23505, 720, 267, 6368, 4611, 538, 513, 6749, 1369, 519, 3977, 563, 763, 645, 2931, 728, 7412, 454, 19328, 2531, 7149, 519, 5001, 7573, 16450, 609, 513, 7882, 1054, 476, 2412, 260, 2671, 543, 4625, 1114, 12204, 540, 4095, 7573, 616, 538, 8799, 3747, 11451, 269, 744, 9405, 547, 519, 7050, 3747, 585, 4095, 7573, 267, 533, 23098, 14713, 6585, 8799, 23146, 538, 3127, 543, 519, 4182, 556, 2355, 536, 32658, 7556, 21496, 269, 1677, 1118, 2386, 602, 782, 602, 779, 3812, 3884, 1406, 29633, 543, 15792, 13980, 3251, 585, 1753, 6499, 267, 519, 8191, 885, 540, 3127, 22876, 999, 7573, 689, 4095, 6705, 676, 1259, 540, 922, 4213, 1175, 899, 519, 2725, 1023, 7577, 540, 3127, 630, 293, 5746, 264, 543, 607, 829, 519, 1344, 9250, 676, 519, 674, 5746, 25015, 267, 8191, 885, 779, 533, 23098, 23144, 906, 568, 476, 1724, 260, 3677, 2394, 5412, 476, 1556, 267, 476, 1708, 273, 267, 3379, 547, 519, 9838, 8884, 3803, 476, 1321, 3275, 563, 2252, 596, 2461, 606, 791, 7163, 267, 5275, 547, 6718, 7573, 538, 13557, 267, 610, 513, 19676, 1401, 1602, 614, 11432, 1359, 547, 3132, 13557, 12531, 540, 7573, 267, 1287, 570, 2784, 860, 773, 2593, 568, 519, 5730, 3760, 585, 596, 269, 570, 2784, 860, 773, 814, 936, 476, 7785, 267, 1822, 20240, 6800, 543, 476, 3583, 267, 1822, 266, 14273, 540, 6980, 543, 29436, 268, 5570, 617, 885, 689, 936, 476, 1911, 6082, 543, 555, 745, 519, 3760, 267, 596, 7654, 666, 6443, 543, 2932, 16450, 609, 519, 1644, 3283, 609, 8897, 563, 2414, 11578, 607, 513, 4136, 6471, 267, 4945, 593, 1318, 1934, 269, 1677, 11578, 607, 513, 29449, 267, 4945, 593, 1318, 1934, 563, 2414, 2611, 909, 547, 4266, 609, 519, 1699, 4755, 902, 540, 519, 29436, 2389, 8565, 1870, 2676, 10849, 2925, 570, 2784, 860, 773, 2593, 2429, 782, 1514, 2923, 9055, 269, 0, 23991, 8535, 585, 18014, 619, 454, 15697, 2575, 5049, 585, 707, 9251, 518, 1331, 936, 476, 3583, 11295, 2238, 585, 7574, 1404, 269, 11242, 1331, 6965, 267, 3350, 3408, 267, 4367, 547, 2101, 543, 5634, 512, 4689, 885, 267, 512, 4689, 543, 11733, 4806, 30172, 267, 606, 4367, 547, 5918, 921, 543, 17784, 11281, 267, 543, 19511, 267, 7574, 9423, 563, 23991, 8535, 585, 18014, 619, 281, 4985, 454, 8340, 856, 875, 547, 1491, 707, 1126, 998, 891, 5402, 2919, 5049, 547, 11694, 707, 1126, 781, 7574, 2208, 543, 7589, 269, 2659, 1126, 786, 1152, 7119, 538, 519, 2238, 547, 519, 6708, 602, 596, 7119, 543, 2285, 707, 2407, 3007, 547, 519, 1362, 267, 2502, 707, 1126, 693, 1169, 2490, 256, 2483, 23991, 8535, 1280, 18014, 619, 281, 476, 272, 269, 623, 1180, 7591, 454, 1432, 798, 596, 899, 547, 798, 593, 513, 4832, 1554, 286, 15012, 721, 585, 513, 13566, 1554, 3802, 547, 519, 11432, 547, 6952, 513, 3165, 267, 1294, 930, 16015, 267, 7914, 609, 519, 20883, 543, 3605, 875, 1454, 1187, 621, 666, 581, 547, 2263, 2470, 1927, 609, 2575, 2336, 23991, 8535, 1280, 18014, 619, 476, 273, 281, 589, 12532, 538, 519, 28418, 454, 7476, 707, 9345, 4881, 607, 649, 1491, 513, 3802, 538, 519, 18137, 538, 713, 17175, 2575, 543, 3350, 1362, 585, 596, 543, 707, 9251, 518, 269, 8891, 513, 536, 22324, 267, 5951, 547, 519, 18137, 5443, 267, 543, 1118, 2386, 596, 3251, 3819, 950, 596, 1205, 547, 519, 524, 9127, 2336, 23991, 8535, 1280, 18014, 619, 476, 274, 281, 6250, 1746, 519, 28927, 578, 454, 288, 7772, 995, 3643, 547, 519, 803, 20760, 568, 513, 5172, 2534, 585, 2370, 3283, 256, 17949, 713, 7317, 543, 19511, 1362, 609, 707, 9251, 518, 607, 649, 1491, 513, 7552, 547, 803, 20760, 1141, 649, 2743, 17544, 267, 23161, 267, 22917, 2125, 543, 824, 7914, 344, 267, 5577, 6853, 2831, 2336, 23991, 8535, 1280, 18014, 619, 476, 275, 281, 645, 13903, 543, 2142, 525, 454, 18439, 519, 18388, 344, 267, 3574, 1910, 4992, 540, 12961, 543, 10987, 269, 8844, 899, 707, 5172, 5521, 543, 8038, 899, 513, 13520, 538, 713, 2575, 543, 3350, 1362, 585, 596, 543, 707, 9251, 518, 2336, 23991, 8535, 1280, 18014, 619, 476, 276, 281, 21708, 1299, 16661, 454, 18794, 538, 519, 1187, 607, 649, 2263, 519, 11121, 4992, 543, 10207, 540, 519, 6607, 543, 4365, 269, 2052, 596, 5873, 782, 540, 519, 1114, 21089, 4365, 2306, 286, 898, 533, 902, 267, 1990, 902, 267, 6550, 267, 30303, 267, 521, 902, 543, 1000, 1074, 956, 2336, 23991, 8535, 1280, 18014, 619, 476, 277, 281, 20002, 267, 19029, 543, 19643, 13219, 454, 290, 727, 6443, 538, 13566, 1187, 607, 649, 2206, 543, 1847, 547, 8964, 827, 669, 597, 6853, 5017, 267, 2220, 11691, 4054, 267, 1166, 32211, 17984, 543, 811, 2336, 272, 269, 918, 3518, 11535, 12844, 639, 454, 306, 9231, 1472, 513, 3786, 13933, 2282, 519, 11432, 267, 1018, 1732, 5152, 547, 2206, 982, 918, 3518, 11535, 256, 681, 20263, 543, 512, 4689, 3270, 1628, 707, 1126, 781, 7574, 5748, 563, 273, 269, 25381, 25381, 12844, 639, 454, 288, 25064, 22488, 5152, 547, 2206, 593, 707, 3802, 538, 519, 18137, 256, 17949, 519, 519, 2220, 15781, 10726, 543, 581, 2386, 547, 1577, 803, 5873, 707, 25981, 30172, 2336, 274, 269, 10753, 984, 344, 7200, 12844, 639, 454, 288, 22488, 5152, 547, 1205, 707, 2898, 1560, 3001, 256, 1411, 666, 849, 2119, 713, 835, 7555, 909, 269, 5213, 1405, 7340, 602, 519, 11733, 543, 512, 4689, 3270, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 9847, 476, 278, 9847, 476, 279, 9847, 476, 1015, 543, 645, 815, 476, 4200, 9847, 476, 272, 9847, 476, 279, 9847, 476, 1015, 267, 2132, 519, 6843, 609, 1871, 476, 279, 780, 1103, 713, 1383, 267, 8263, 9136, 609, 519, 1482, 1871, 616, 519, 3169, 1482, 6843, 3615, 780, 2710, 713, 538, 744, 29687, 1341, 715, 264, 942, 630, 3602, 631, 543, 715, 616, 519, 13080, 540, 519, 8638, 264, 543, 3586, 2230, 563, 18257, 692, 288, 17342, 274, 267, 278, 267, 279, 267, 1015, 2639, 289, 17342, 4200, 267, 272, 267, 279, 267, 1015, 6540, 454, 3698, 1265, 9078, 1074, 263, 8266, 272, 267, 8266, 273, 2187, 825, 561, 3317, 284, 6352, 10490, 994, 825, 561, 3317, 273, 284, 6352, 16360, 994, 8931, 825, 1775, 284, 271, 454, 825, 795, 284, 271, 22562, 825, 1247, 795, 283, 331, 3317, 273, 912, 1038, 952, 589, 5157, 316, 2525, 289, 14728, 14158, 2018, 2132, 589, 5157, 2639, 1038, 1775, 23785, 272, 454, 1038, 952, 1775, 2525, 331, 3317, 912, 2018, 1775, 284, 271, 454, 2018, 795, 23785, 272, 454, 825, 1820, 3488, 7224, 3095, 5073, 825, 2132, 7183, 454, 27030, 13872, 13872, 672, 0, 18411, 14187, 6640, 256, 3371, 781, 707, 8193, 5967, 1966, 585, 2221, 780, 1607, 1966, 729, 4280, 676, 6215, 871, 780, 2791, 616, 2016, 606, 715, 676, 631, 5119, 540, 476, 271, 338, 543, 476, 272, 338, 269, 18786, 689, 519, 1283, 2451, 7944, 267, 875, 1082, 2081, 616, 972, 547, 3914, 519, 5377, 1318, 7944, 2496, 2791, 666, 1152, 1847, 1318, 543, 1524, 269, 476, 271, 4564, 606, 8900, 2230, 1247, 476, 272, 4564, 513, 3774, 596, 3112, 3802, 998, 780, 2690, 1383, 267, 2016, 519, 1739, 5119, 1384, 314, 314, 271, 267, 476, 271, 267, 476, 272, 16689, 1496, 271, 267, 476, 271, 267, 476, 272, 16689, 1496, 272, 267, 476, 271, 267, 476, 271, 316, 6540, 27987, 1079, 267, 607, 972, 616, 1152, 1079, 2081, 547, 1205, 547, 519, 5377, 1318, 1384, 825, 9406, 267, 1524, 267, 1524, 267, 1318, 454, 825, 13560, 267, 1318, 267, 1524, 267, 1318, 692, 763, 1283, 2451, 7944, 543, 5377, 1318, 7944, 786, 2141, 581, 476, 271, 563, 18257, 692, 5814, 11885, 607, 5286, 692, 3901, 29029, 815, 5286, 15126, 31912, 271, 267, 476, 271, 267, 476, 272, 16689, 4449, 672, 1496, 271, 267, 476, 271, 267, 476, 272, 16689, 4449, 672, 1496, 272, 267, 476, 271, 267, 476, 271, 316, 7481, 672, 692, 3698, 1297, 24786, 263, 3901, 29029, 267, 1842, 17342, 271, 267, 271, 8079, 1384, 825, 715, 267, 300, 284, 12639, 17482, 263, 3901, 29029, 994, 825, 952, 1064, 2525, 314, 301, 268, 272, 267, 300, 268, 272, 14158, 1038, 2132, 476, 272, 22562, 825, 952, 1319, 29029, 314, 1842, 314, 271, 3910, 1842, 314, 272, 14963, 2525, 272, 912, 1038, 2132, 476, 271, 22562, 825, 513, 284, 271, 454, 825, 536, 284, 271, 454, 825, 952, 1064, 314, 271, 316, 283, 301, 268, 272, 912, 1038, 513, 284, 15893, 24786, 263, 3901, 29029, 267, 314, 1842, 314, 271, 27994, 272, 267, 1842, 314, 272, 316, 7481, 825, 952, 1064, 314, 272, 316, 283, 300, 268, 272, 912, 1038, 536, 284, 15893, 24786, 263, 3901, 29029, 267, 314, 1842, 314, 271, 3910, 1842, 314, 272, 27994, 272, 7481, 13872, 825, 2132, 513, 17070, 454, 672, 0, 18411, 14187, 6640, 256, 3371, 781, 707, 8193, 5967, 1966, 585, 2221, 780, 1607, 1966, 729, 4280, 676, 9786, 780, 25363, 618, 476, 274, 588, 2931, 1210, 513, 2582, 1592, 1384, 5035, 29571, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 4289, 815, 29129, 825, 1219, 1402, 4311, 267, 10518, 20311, 2187, 1038, 1780, 692, 825, 1219, 7903, 4311, 267, 6221, 267, 10518, 20311, 2187, 1038, 1780, 692, 18257, 692, 5035, 29571, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 4289, 815, 11713, 13872, 825, 1219, 1402, 4311, 267, 10518, 20311, 2187, 1038, 561, 3317, 284, 6352, 4311, 269, 4289, 994, 13872, 1038, 585, 1775, 538, 2039, 263, 23637, 20311, 267, 331, 3317, 268, 272, 2187, 2018, 1582, 269, 4289, 5157, 24557, 1345, 269, 4289, 5157, 266, 272, 2639, 27030, 1038, 1582, 269, 4289, 284, 1345, 269, 4289, 11468, 268, 272, 2639, 8931, 825, 1219, 7903, 4311, 267, 6221, 267, 10518, 20311, 2187, 1038, 561, 3317, 284, 6352, 4311, 269, 4289, 994, 13872, 2018, 454, 1038, 952, 10518, 20311, 2525, 331, 3317, 912, 2018, 1582, 269, 4289, 6910, 263, 14403, 994, 1038, 8640, 10518, 20311, 283, 331, 3317, 912, 2018, 15254, 815, 1582, 269, 4289, 314, 23637, 20311, 2639, 2018, 1582, 269, 4289, 314, 23637, 20311, 24557, 14403, 454, 2018, 585, 1775, 538, 2039, 263, 23637, 20311, 266, 272, 267, 331, 3317, 2187, 3546, 15254, 273, 284, 1345, 269, 4289, 5157, 2639, 3546, 1582, 269, 4289, 5157, 24557, 12534, 454, 3546, 15254, 815, 15254, 273, 454, 2018, 1582, 269, 4289, 6910, 263, 12534, 994, 1038, 3116, 912, 2018, 1820, 2891, 322, 2335, 1405, 7903, 713, 5602, 27030, 1038, 1820, 4311, 269, 4289, 994, 0, 18411, 14187, 6640, 256, 3371, 781, 707, 8193, 5967, 1966, 585, 2221, 780, 1607, 1966, 729, 4280, 676, 21912, 1103, 780, 11693, 513, 5569, 267, 2132, 2436, 621, 4564, 513, 1297, 269, 3371, 616, 519, 1114, 5686, 540, 2338, 1384, 825, 834, 1015, 2580, 513, 2318, 8870, 454, 825, 29038, 1015, 2580, 513, 2942, 8870, 454, 825, 834, 1015, 269, 272, 2580, 513, 2318, 1483, 1297, 454, 825, 29038, 1015, 269, 272, 2580, 513, 2942, 1483, 1297, 454, 825, 834, 272, 324, 276, 2580, 513, 1297, 538, 3621, 10035, 692, 4517, 1934, 616, 1806, 540, 1875, 5991, 13246, 1384, 825, 834, 320, 4840, 825, 834, 343, 476, 272, 4840, 825, 834, 320, 910, 273, 4840, 825, 29038, 4840, 18411, 258, 5814, 2979, 692, 3698, 568, 19963, 20311, 30415, 2187, 825, 952, 7003, 30415, 25631, 284, 272, 912, 1038, 952, 5569, 314, 271, 316, 2525, 262, 268, 12466, 2018, 5569, 284, 11415, 314, 272, 281, 2639, 825, 952, 5569, 314, 271, 316, 2525, 262, 324, 262, 610, 5569, 314, 271, 316, 2525, 8339, 12466, 1038, 2132, 8771, 454, 825, 5569, 318, 758, 8782, 23713, 24833, 277, 4281, 280, 324, 25692, 825, 561, 3317, 284, 6352, 30415, 994, 825, 1293, 292, 284, 271, 454, 825, 1064, 292, 22561, 454, 825, 1064, 291, 582, 22561, 454, 825, 1293, 291, 582, 284, 271, 454, 825, 585, 1775, 538, 2039, 10857, 3317, 2187, 1038, 1286, 659, 6831, 712, 656, 284, 11415, 5157, 2639, 1038, 952, 1286, 659, 6831, 712, 656, 2525, 262, 324, 12466, 2018, 1293, 292, 23785, 272, 454, 2018, 1064, 292, 284, 328, 454, 2018, 952, 1293, 292, 285, 272, 912, 3546, 2132, 8771, 454, 1038, 952, 1286, 659, 6831, 712, 656, 2525, 8339, 12466, 2018, 1293, 291, 582, 23785, 272, 454, 2018, 1064, 291, 582, 284, 328, 454, 2018, 952, 1293, 291, 582, 285, 272, 912, 3546, 2132, 8771, 454, 1038, 952, 1286, 659, 6831, 712, 656, 711, 538, 5569, 318, 758, 912, 2018, 2132, 8771, 454, 825, 952, 1064, 292, 543, 1064, 291, 582, 912, 1038, 952, 2612, 263, 1842, 292, 1790, 657, 291, 582, 264, 2525, 272, 912, 2018, 2132, 8771, 454, 825, 2132, 6936, 454, 27030, 672, 0, 18411, 14187, 6640, 256, 3371, 781, 707, 8193, 5967, 1966, 585, 2221, 780, 1607, 1966, 729, 4280, 676, 8835, 780, 11693, 606, 8870, 715, 267, 4020, 782, 2009, 9352, 3406, 4054, 609, 715, 9136, 563, 18257, 692, 5035, 10326, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1998, 2187, 1038, 1582, 22183, 284, 1998, 454, 1038, 1582, 16000, 22561, 454, 1038, 1582, 16192, 22561, 28329, 13872, 13872, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 6843, 284, 1345, 454, 1038, 1267, 815, 1412, 9131, 266, 1598, 27316, 22183, 264, 1341, 1412, 2451, 281, 262, 1341, 1193, 27316, 16000, 11924, 1412, 1318, 281, 262, 1341, 1193, 27316, 16192, 11924, 11172, 1412, 454, 1038, 2132, 1267, 19638, 3698, 1711, 318, 718, 4671, 872, 18217, 2187, 825, 952, 715, 2525, 272, 912, 1038, 2132, 1496, 21698, 263, 272, 22708, 825, 952, 715, 2525, 271, 912, 1038, 2132, 1496, 14085, 2639, 8931, 825, 5903, 4671, 872, 17342, 2639, 825, 585, 1775, 538, 2039, 18217, 17107, 1038, 2451, 284, 22056, 318, 718, 4671, 872, 9217, 994, 1038, 1318, 284, 22056, 318, 718, 4671, 872, 18217, 268, 272, 25829, 994, 1038, 585, 795, 538, 2451, 912, 2018, 585, 737, 538, 1318, 912, 3546, 513, 284, 21698, 18217, 994, 3546, 513, 16000, 284, 329, 454, 3546, 513, 16192, 284, 330, 454, 3546, 5903, 4671, 872, 6910, 5416, 994, 825, 2132, 5903, 4671, 872, 22562, 13872, 13872, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 676, 2673, 547, 476, 2412, 323, 289, 269, 1403, 649, 1185, 7396, 2800, 9582, 909, 547, 519, 476, 1015, 628, 649, 1131, 1265, 602, 621, 729, 8385, 693, 513, 1360, 1970, 1377, 267, 6148, 910, 1220, 323, 289, 267, 855, 1131, 1152, 2887, 2630, 713, 3312, 1871, 693, 930, 1164, 1377, 540, 5955, 267, 6148, 476, 2004, 323, 289, 269, 1280, 1022, 23191, 972, 568, 930, 1377, 540, 5955, 693, 799, 621, 8813, 1394, 547, 519, 4642, 5955, 1377, 267, 543, 3564, 799, 621, 5170, 547, 2887, 538, 8167, 547, 3773, 5955, 269, 634, 2362, 519, 23191, 519, 3152, 519, 5955, 2877, 547, 2569, 621, 267, 855, 538, 519, 1383, 1031, 1934, 519, 476, 277, 628, 543, 782, 2362, 1931, 2800, 9582, 2408, 547, 2611, 2630, 910, 6344, 323, 289, 585, 1022, 5955, 1377, 936, 827, 476, 2412, 323, 289, 563, 763, 3932, 689, 713, 568, 602, 585, 713, 1383, 1022, 1970, 1377, 540, 2942, 5955, 786, 2333, 1164, 1931, 2800, 9582, 3648, 267, 543, 519, 2856, 602, 5955, 8520, 2744, 1058, 581, 6854, 1970, 568, 519, 3169, 6587, 540, 519, 5168, 269, 1703, 568, 513, 5786, 540, 519, 1713, 1164, 1931, 2800, 9582, 689, 5955, 950, 621, 568, 693, 513, 1164, 1377, 269, 3680, 532, 5955, 15587, 1256, 585, 513, 7811, 3501, 4009, 1876, 24582, 1281, 711, 2061, 1164, 1931, 2800, 9582, 1373, 3773, 267, 585, 4128, 6045, 538, 851, 476, 273, 540, 713, 3126, 563, 1103, 4641, 1930, 2000, 17274, 8301, 7586, 13294, 616, 10355, 4009, 25237, 3457, 609, 910, 2420, 323, 289, 2034, 23191, 269, 898, 568, 1152, 950, 513, 1164, 1377, 540, 3977, 23673, 568, 10480, 1394, 547, 519, 3403, 543, 519, 24582, 1875, 11060, 10846, 30012, 621, 609, 519, 3312, 3403, 602, 1713, 2362, 1931, 3334, 666, 581, 6383, 269, 1403, 649, 1376, 609, 18481, 1970, 1930, 2000, 17274, 23673, 1970, 2157, 540, 5955, 949, 723, 2370, 952, 1022, 14124, 1198, 269, 18786, 609, 2362, 1930, 2000, 17274, 23673, 630, 5976, 514, 7182, 267, 1294, 519, 3723, 16694, 264, 649, 666, 946, 1360, 1164, 2157, 540, 5955, 547, 1360, 3927, 2569, 621, 547, 28971, 2157, 269, 1703, 616, 1434, 6272, 1210, 1312, 4485, 267, 855, 519, 2164, 689, 1250, 2241, 9923, 325, 564, 6272, 18609, 803, 602, 519, 1164, 5955, 4781, 568, 676, 2484, 519, 14724, 3070, 563, 7069, 1378, 1164, 5955, 9923, 325, 564, 24582, 3096, 936, 476, 3199, 323, 289, 5955, 8520, 2744, 267, 855, 13939, 23673, 950, 6117, 513, 10584, 4452, 609, 513, 2575, 5365, 7000, 11613, 4986, 6397, 269, 634, 23673, 950, 28659, 543, 19557, 547, 4805, 729, 538, 7596, 1043, 12341, 2630, 519, 6846, 543, 4608, 766, 961, 539, 2575, 5365, 563, 272, 1040, 769, 476, 3422, 272, 631, 14371, 2529, 23145, 1375, 773, 3370, 1018, 693, 1101, 8289, 5526, 547, 581, 606, 2079, 540, 3592, 4010, 519, 1482, 5547, 11460, 1031, 676, 8834, 645, 1314, 663, 718, 269, 901, 729, 1065, 11781, 539, 543, 8242, 538, 29942, 2622, 267, 4239, 476, 3192, 279, 267, 533, 269, 5325, 268, 2004, 267, 519, 2278, 1603, 896, 519, 2012, 1412, 290, 987, 1712, 14105, 8339, 589, 4009, 1876, 3926, 814, 2949, 5955, 4294, 267, 855, 609, 476, 2412, 323, 289, 5955, 972, 568, 1631, 936, 476, 278, 260, 3791, 23191, 267, 476, 274, 260, 476, 275, 628, 267, 543, 865, 593, 269, 594, 723, 2938, 713, 1267, 1031, 607, 513, 24134, 585, 1210, 1152, 1970, 2157, 540, 5955, 267, 865, 519, 2243, 540, 1946, 713, 4528, 729, 865, 1454, 8338, 19262, 930, 7156, 269, 7335, 519, 3003, 2376, 2864, 982, 1175, 519, 23673, 5515, 519, 7778, 568, 2312, 269, 3689, 267, 519, 1930, 2000, 17274, 23673, 568, 2362, 267, 693, 476, 736, 9077, 1775, 4318, 269, 910, 1691, 323, 289, 269, 2290, 1267, 540, 713, 568, 602, 519, 2744, 9775, 14320, 609, 5365, 17931, 267, 543, 519, 5955, 8520, 2744, 568, 1152, 476, 2412, 323, 289, 693, 4642, 3403, 5365, 269, 1280, 519, 2039, 540, 5365, 6453, 693, 799, 519, 23673, 5515, 616, 20926, 519, 8520, 2744, 2965, 8813, 547, 4642, 936, 851, 540, 519, 20534, 2914, 1511, 267, 543, 1018, 649, 616, 2731, 3168, 693, 568, 519, 1198, 540, 12623, 13240, 804, 6235, 269, 2986, 1576, 621, 568, 7543, 547, 2569, 519, 23673, 540, 606, 24582, 2899, 621, 814, 1044, 9141, 3564, 922, 3977, 804, 6235, 1377, 267, 1100, 2339, 875, 1454, 610, 875, 2370, 5955, 649, 946, 267, 543, 621, 568, 1134, 1634, 602, 1164, 5955, 2306, 519, 804, 6235, 811, 23589, 267, 865, 602, 811, 18473, 1164, 2800, 9582, 616, 3812, 269, 7102, 1106, 540, 804, 6235, 568, 540, 1576, 513, 3983, 3364, 547, 581, 14284, 267, 543, 519, 10826, 568, 1175, 547, 2490, 1524, 519, 4320, 1852, 267, 610, 952, 713, 568, 30849, 946, 930, 1106, 540, 1412, 7809, 804, 6235, 262, 6619, 540, 519, 24582, 269, 634, 2040, 2719, 909, 693, 519, 1439, 540, 519, 2376, 1500, 476, 278, 2798, 267, 476, 274, 540, 891, 1373, 827, 804, 6235, 269, 4033, 2798, 941, 602, 2630, 804, 6235, 543, 585, 811, 9793, 1930, 2000, 17274, 1875, 11060, 10846, 519, 2856, 602, 5955, 6971, 782, 23673, 8449, 1134, 729, 1412, 325, 1515, 2614, 3299, 543, 2942, 5955, 1412, 4103, 899, 513, 19259, 25692, 273, 1040, 594, 729, 7138, 1194, 676, 519, 23673, 14258, 267, 1317, 693, 513, 1377, 540, 2942, 5955, 1141, 1312, 476, 273, 526, 543, 476, 274, 6113, 2800, 9582, 941, 9991, 519, 476, 276, 628, 23191, 267, 6383, 14356, 689, 954, 7116, 1637, 540, 519, 476, 273, 526, 543, 476, 274, 6113, 267, 729, 1869, 2810, 269, 634, 7778, 568, 602, 519, 5955, 568, 1373, 2799, 676, 2810, 519, 2744, 540, 519, 5955, 3060, 267, 865, 602, 811, 540, 519, 3977, 568, 1373, 10480, 1394, 269, 4014, 519, 3977, 476, 273, 526, 543, 476, 274, 6113, 2800, 9582, 616, 4227, 267, 519, 2157, 10480, 1394, 547, 519, 3403, 616, 711, 269, 2311, 1101, 594, 2219, 602, 2810, 519, 5955, 676, 2810, 519, 24582, 1930, 2000, 17274, 2744, 543, 5329, 519, 5955, 3060, 6378, 1131, 2061, 713, 269, 4329, 2219, 7000, 602, 519, 1198, 5673, 593, 1141, 538, 519, 24582, 649, 1039, 519, 2744, 267, 543, 1141, 519, 23673, 568, 6383, 269, 630, 2690, 1383, 952, 649, 2333, 519, 9920, 3942, 2744, 519, 2799, 5955, 2877, 547, 2569, 2362, 2800, 9582, 10039, 547, 3977, 3942, 855, 711, 3403, 3942, 23673, 4700, 295, 26041, 269, 0, 17484, 11139, 26495, 1023, 5903, 5440, 12700, 454, 2467, 616, 513, 2647, 3099, 540, 2831, 543, 824, 7068, 602, 616, 7396, 607, 13155, 538, 938, 1158, 269, 12292, 616, 3773, 547, 519, 13155, 1592, 950, 519, 1297, 540, 2831, 538, 602, 1880, 1895, 4991, 4389, 20427, 543, 2282, 547, 519, 14486, 269, 634, 1292, 2832, 540, 4509, 606, 13155, 1592, 568, 547, 1118, 3025, 917, 827, 519, 14486, 4220, 5185, 676, 891, 2831, 543, 547, 2744, 811, 1416, 585, 891, 7068, 269, 19402, 1631, 972, 723, 1044, 513, 2647, 3099, 540, 2831, 602, 723, 1044, 23498, 856, 689, 938, 1158, 1813, 547, 513, 1297, 540, 4128, 269, 26495, 1023, 616, 835, 540, 1346, 2516, 602, 616, 6849, 1390, 14486, 6937, 891, 2395, 563, 763, 13155, 11864, 1592, 568, 1360, 3638, 609, 513, 1434, 1297, 540, 2831, 269, 1703, 616, 1082, 4128, 585, 891, 2831, 547, 1831, 13155, 269, 18766, 689, 519, 2067, 4128, 621, 568, 519, 29252, 14226, 540, 2200, 676, 812, 602, 616, 4929, 5458, 6937, 547, 891, 2831, 269, 898, 568, 1434, 547, 1451, 827, 891, 2831, 602, 616, 538, 6937, 543, 547, 1491, 2556, 13390, 1081, 547, 1832, 741, 2249, 9800, 269, 3509, 3906, 543, 1644, 8128, 616, 2921, 2556, 15416, 547, 3500, 1524, 519, 2557, 540, 13302, 2831, 543, 7930, 2333, 741, 2338, 269, 1703, 616, 930, 2249, 602, 1141, 13155, 538, 519, 4505, 2053, 543, 723, 4389, 741, 4220, 676, 2810, 5095, 676, 2921, 2556, 15416, 563, 763, 8128, 4805, 666, 798, 4986, 269, 15526, 1590, 581, 3222, 827, 519, 2713, 7919, 602, 616, 1472, 269, 15391, 532, 543, 9552, 540, 7733, 616, 835, 540, 519, 1292, 3123, 540, 1439, 836, 1359, 269, 1452, 2238, 1590, 581, 6417, 538, 1931, 547, 2057, 519, 14486, 540, 4686, 25850, 2249, 269, 634, 13155, 8638, 540, 11864, 616, 1932, 1279, 269, 4634, 1354, 1896, 1296, 1082, 25850, 2249, 723, 1044, 23498, 856, 689, 938, 3618, 1317, 540, 519, 23387, 1145, 540, 812, 827, 519, 991, 547, 2149, 891, 2831, 269, 0, 5715, 2158, 807, 16034, 8772, 1851, 519, 1034, 20651, 2477, 538, 519, 1158, 269, 898, 814, 1360, 3309, 5686, 540, 1004, 607, 513, 1267, 540, 922, 11585, 269, 1358, 4866, 547, 1585, 3909, 2516, 267, 4352, 519, 5354, 540, 873, 630, 5952, 8472, 616, 12356, 269, 10582, 2103, 2097, 689, 1114, 8129, 971, 607, 20528, 3150, 630, 1626, 15992, 808, 24170, 3150, 630, 2412, 15992, 4457, 630, 274, 15992, 8496, 675, 572, 19072, 611, 3120, 630, 275, 8472, 543, 24414, 630, 4391, 22103, 10582, 2103, 616, 3622, 4662, 3386, 267, 5363, 543, 30251, 269, 4256, 1259, 540, 2713, 568, 11461, 676, 741, 14940, 267, 4984, 543, 4978, 563, 4467, 12723, 540, 476, 1704, 267, 1822, 4190, 10195, 267, 12868, 568, 519, 4102, 2895, 28396, 538, 519, 1158, 269, 4706, 10195, 12701, 547, 909, 547, 476, 276, 267, 1822, 5195, 2059, 519, 20337, 658, 1899, 269, 898, 1152, 814, 1079, 12405, 9789, 3819, 543, 24925, 12405, 269, 16959, 4005, 16569, 689, 4873, 547, 5239, 543, 24925, 4005, 689, 5437, 547, 4728, 267, 1419, 1818, 519, 2011, 669, 11035, 454, 5715, 2158, 807, 568, 513, 2244, 2407, 540, 10239, 269, 898, 849, 814, 4190, 22747, 267, 7733, 543, 17822, 602, 616, 10272, 676, 5215, 540, 14666, 1032, 1310, 1032, 269, 12868, 568, 835, 540, 519, 2477, 602, 9356, 7489, 1004, 538, 2489, 269, 5221, 540, 922, 3309, 4529, 543, 4190, 15805, 9634, 267, 621, 814, 1831, 835, 540, 519, 1034, 10272, 2477, 538, 5607, 563, 5715, 2158, 807, 3893, 922, 2012, 689, 606, 2296, 2006, 3957, 808, 10611, 269, 8298, 534, 269, 634, 2012, 9247, 1797, 4095, 11866, 269, 12868, 779, 1686, 7389, 1394, 547, 519, 18749, 2540, 267, 950, 9699, 543, 14418, 23693, 10692, 585, 1379, 936, 12868, 269, 634, 3638, 882, 923, 543, 3788, 540, 602, 942, 8329, 1454, 547, 12868, 779, 3961, 269, 634, 9699, 4229, 4465, 267, 543, 1586, 538, 519, 19412, 18818, 2540, 267, 519, 9699, 10504, 5185, 513, 1390, 4161, 1996, 519, 7332, 11031, 945, 3262, 5045, 540, 519, 25345, 269, 634, 9699, 4503, 2666, 543, 12306, 538, 7195, 328, 1141, 741, 18939, 1869, 2661, 2221, 269, 634, 1964, 540, 519, 24414, 25345, 2968, 7332, 267, 2531, 3215, 538, 519, 5354, 540, 519, 2551, 563, 763, 5318, 2895, 28396, 540, 12868, 3091, 1896, 15805, 18845, 602, 616, 1634, 2429, 519, 1158, 269, 12868, 814, 4190, 4025, 543, 15805, 9634, 1634, 782, 936, 519, 1158, 269, 2368, 540, 891, 1331, 912, 272, 269, 590, 592, 1177, 525, 328, 1765, 513, 4583, 28722, 8032, 6532, 538, 12868, 267, 590, 592, 1177, 525, 328, 666, 581, 27424, 593, 1101, 16145, 540, 519, 4786, 540, 12868, 269, 898, 814, 10731, 2470, 543, 4190, 2067, 9634, 602, 2709, 4241, 543, 13858, 2951, 2833, 269, 1703, 616, 513, 1297, 540, 4025, 1934, 609, 3140, 2956, 267, 799, 616, 4502, 9683, 563, 273, 269, 7195, 328, 1765, 713, 568, 676, 2484, 519, 1034, 4583, 6532, 538, 12868, 799, 568, 2442, 538, 9413, 267, 3976, 1818, 621, 519, 1034, 8179, 8584, 1123, 10278, 538, 12868, 269, 898, 3217, 11348, 538, 922, 29814, 3043, 5070, 17822, 267, 922, 1158, 1362, 2533, 543, 7045, 2238, 602, 723, 1500, 8436, 1616, 547, 1832, 4947, 1394, 563, 274, 269, 32021, 21840, 1765, 12868, 779, 3854, 267, 32021, 21840, 568, 1141, 1034, 24284, 616, 3710, 269, 901, 568, 1141, 1004, 6300, 538, 4190, 8637, 2966, 547, 2709, 519, 1655, 2472, 971, 607, 14704, 11435, 267, 10887, 543, 9660, 269, 1703, 849, 616, 1082, 25447, 15945, 602, 616, 2442, 1851, 14666, 269, 12868, 568, 4583, 585, 1884, 2294, 799, 723, 1164, 3902, 2418, 563, 275, 269, 700, 4861, 758, 1765, 513, 1747, 1141, 519, 1034, 4190, 27656, 2761, 338, 616, 1336, 267, 700, 4861, 758, 568, 513, 1747, 1141, 1004, 1265, 678, 3430, 534, 11647, 543, 18955, 17234, 563, 5715, 2158, 807, 779, 3781, 5158, 814, 13631, 1082, 14666, 689, 824, 2477, 269, 3245, 6101, 23156, 26569, 7188, 2996, 547, 16678, 15731, 543, 1435, 338, 267, 12868 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1648, 2029, 269, 12059, 267, 6800, 786, 723, 606, 24539, 547, 946, 1447, 5201, 676, 10115, 538, 811, 3608, 14233, 543, 1753, 13471, 543, 1818, 606, 4674, 547, 2490, 1055, 8279, 267, 519, 7641, 267, 5904, 543, 865, 593, 563, 10144, 949, 1843, 547, 9878, 811, 585, 5201, 267, 3154, 543, 5179, 4492, 267, 855, 519, 3454, 19614, 1223, 581, 16539, 538, 14949, 2973, 1857, 3560, 267, 1753, 13471, 543, 1857, 2533, 3622, 267, 971, 607, 1072, 543, 2069, 269, 901, 1223, 581, 851, 540, 513, 3609, 540, 23799, 9084, 267, 609, 519, 3454, 19614, 1373, 6170, 593, 10970, 11868, 6710, 269, 17968, 267, 824, 9204, 1223, 581, 2759, 563, 763, 22558, 293, 9193, 602, 547, 6615, 2518, 8337, 547, 476, 273, 9180, 630, 320, 3077, 2938, 607, 1932, 16434, 676, 1082, 2825, 1235, 1070, 1804, 32749, 2477, 2048, 29019, 6338, 513, 3327, 3454, 1305, 547, 4473, 3533, 547, 1269, 4037, 513, 9522, 538, 476, 10711, 271, 17483, 1607, 1131, 1611, 7622, 3167, 12014, 1131, 979, 909, 676, 476, 6246, 829, 1298, 15921, 592, 8271, 936, 519, 1985, 8717, 593, 3328, 1107, 811, 538, 2477, 602, 1869, 7048, 8185, 593, 5755, 538, 5201, 5108, 267, 1447, 11992, 269, 13937, 13238, 1131, 1942, 476, 1691, 2600, 811, 593, 3328, 563, 2005, 3947, 519, 1383, 540, 13785, 267, 799, 814, 513, 3327, 3454, 540, 1269, 14096, 829, 9522, 269, 901, 814, 8507, 538, 513, 476, 1839, 260, 5786, 538, 5434, 2094, 476, 1960, 276, 267, 1247, 519, 4346, 814, 9450, 476, 4037, 260, 2094, 1287, 563, 21918, 1080, 540, 3327, 9204, 454, 7212, 3327, 9204, 666, 1118, 513, 1713, 9295, 547, 8396, 1154, 2518, 8337, 267, 972, 616, 2042, 609, 741, 946, 563, 5575, 267, 621, 949, 581, 20833, 2442, 585, 6608, 711, 547, 20818, 873, 267, 610, 6318, 873, 267, 609, 14761, 19163, 602, 789, 616, 16994, 547, 948, 2048, 11584, 31227, 5179, 1235, 685, 610, 4057, 1004, 2048, 11584, 31227, 547, 1832, 741, 5321, 3636, 9957, 769, 519, 5177, 267, 20422, 6608, 1032, 1310, 1032, 723, 6074, 711, 547, 6318, 4155, 4492, 9204, 267, 5103, 513, 23556, 12313, 18521, 531, 1807, 630, 516, 31419, 538, 476, 1001, 272, 676, 513, 23556, 667, 14280, 853, 8494, 16014, 264, 2966, 547, 6318, 4492, 9204, 1142, 1032, 676, 811, 982, 10637, 269, 4746, 267, 6608, 4250, 602, 2362, 1648, 5777, 1131, 6318, 3790, 585, 741, 2197, 779, 6080, 267, 7551, 14124, 18666, 563, 13553, 267, 621, 568, 2352, 547, 2268, 519, 8589, 5007, 3790, 540, 2910, 273, 5434, 267, 799, 3947, 993, 32099, 547, 1346, 19163, 547, 1832, 9204, 1970, 269, 769, 971, 2665, 621, 949, 581, 929, 644, 550, 267, 952, 20833, 2009, 267, 547, 1305, 3327, 9204, 3833, 1164, 563, 23612, 267, 789, 1058, 711, 581, 2938, 607, 513, 6190, 3609, 593, 741, 1378, 267, 855, 607, 1175, 851, 540, 519, 3070, 547, 2518, 8337, 269, 18489, 3175, 547, 2061, 1164, 5434, 666, 581, 1776, 3532, 1907, 547, 2061, 2238, 602, 723, 1164, 3327, 5434, 269, 6201, 1331, 7333, 940, 1164, 15041, 2153, 6472, 282, 513, 10421, 585, 5755, 30187, 1379, 10473, 543, 3327, 32749, 15327, 547, 3888, 2910, 273, 28103, 1499, 630, 16344, 1562, 5148, 543, 27162, 615, 4058, 6042, 585, 15327, 602, 12520, 3327, 269, 4065, 547, 5000, 1004, 547, 2759, 741, 1378, 2123, 946, 540, 8093, 10173, 568, 1776, 3532, 1797, 540, 12018, 7180, 563, 288, 1698, 7146, 2389, 8565, 1062, 267, 971, 607, 519, 3864, 2506, 3827, 29665, 30868, 1131, 581, 606, 4244, 1797, 540, 5969, 3327, 7561, 269, 898, 3322, 4259, 9889, 553, 585, 5434, 543, 3850, 10909, 799, 4383, 547, 2759, 5434, 547, 6133, 741, 21045, 14998, 547, 1447, 3608, 10909, 269, 901, 12662, 513, 3902, 2604, 593, 10909, 547, 581, 811, 3608, 269, 1809, 519, 9889, 553, 630, 1492, 2048, 5115, 32426, 1590, 581, 18481, 9395, 952, 5434, 616, 2469, 547, 581, 2759, 547, 5551, 2157, 563, 3719, 267, 5103, 1373, 1175, 835, 2009, 3609, 267, 3327, 9204, 666, 1118, 513, 1713, 9295, 547, 8396, 1154, 2518, 8337, 563, 268, 674, 14166, 24727, 547, 4354, 321, 8693, 7827, 454, 8379, 293, 5816, 267, 966, 3218, 13937, 1706, 267, 14529, 23383, 31410, 549, 267, 27950, 3474, 787, 543, 21965, 623, 3430, 21034, 630, 1015, 270, 1015, 270, 866, 994, 268, 6052, 12014, 786, 723, 547, 4473, 25921, 547, 2057, 2916, 6433, 267, 3081, 22558, 293, 454, 763, 26851, 267, 32632, 11875, 328, 2714, 630, 1015, 270, 1015, 270, 866, 994, 268, 670, 4007, 2518, 3327, 3454, 30382, 2877, 538, 1985, 476, 1015, 1296, 547, 2212, 1055, 2916, 9568, 267, 3081, 22558, 293, 454, 5715, 8817, 267, 18281, 7720, 2292, 543, 12448, 6154, 539, 2006, 630, 1556, 270, 1015, 270, 866, 994, 268, 2622, 2712, 326, 1836, 2115, 547, 2656, 523, 3268, 547, 2569, 2518, 8337, 1107, 22558, 293, 454, 3725, 26407, 267, 14811, 25669, 14480, 8243, 340, 597, 630, 1015, 270, 1015, 270, 866, 994, 268, 634, 8865, 585, 513, 7108, 559, 4169, 12539, 12525, 454, 2690, 15816, 267, 23011, 623, 1408, 651, 630, 1724, 270, 280, 270, 866, 994, 268, 634, 1158, 2115, 513, 7372, 3327, 3454, 538, 1175, 476, 1015, 1296, 547, 3970, 2916, 1689, 267, 22558, 293, 3081, 454, 29910, 5403, 267, 18281, 7720, 2292, 543, 12448, 6154, 539, 2006, 630, 1015, 270, 1015, 270, 866, 994, 268, 4658, 899, 519, 2856, 540, 513, 3327, 3454, 1107, 952, 519, 2724, 568, 2322, 547, 1434, 946, 454, 6124, 26831, 267, 7812, 2274, 8525, 630, 1240, 270, 280, 270, 866, 994, 268, 634, 22558, 293, 14659, 3327, 9204, 786, 3247, 519, 2916, 6433, 269, 2334, 779, 513, 15265, 2856, 563, 763, 26851, 267, 25562, 589, 1258, 4752, 630, 1321, 270, 1015, 270, 866, 994, 268, 674, 8787, 24937, 2916, 6433, 786, 979, 22625, 267, 3081, 4460, 2961, 2284, 454, 763, 26851, 267, 12456, 1014, 29336, 15838, 630, 1724, 270, 1015, 270, 866, 994, 268, 1215, 3844, 8492, 666, 10994, 2916, 1689, 454, 26296, 8648, 267, 634, 21107, 4604, 630, 4029, 270, 1015, 270, 866, 994, 268, 2622, 9483, 17072, 281, 8693, 1689, 2962, 2877, 547, 2057, 6848, 2048, 322, 3326, 8985, 685, 3081, 14012, 454, 763, 2817, 267, 32329, 267, 17555, 2098, 778, 926, 553, 630, 274, 270, 1556, 270, 866, 994, 268, 681, 328, 1824, 543, 4123, 10617, 281, 4208, 3327, 9204, 786, 711, 4194, 2916, 6433, 454, 305, 3663, 1618, 267, 2274, 662, 19811, 630, 4029, 270, 1015, 270, 866, 264, 630, 8512, 476, 272, 994, 268, 634, 30162, 540, 2500, 8925, 547, 3327, 14499, 454, 305, 3663, 1618, 267, 2274, 662, 19811, 630, 4029, 270, 1015, 270, 866, 264, 630, 8512, 476, 273, 994, 268, 3657, 891, 519, 1483, 4128, 1946, 8262, 13813, 6499, 513, 3327, 3454, 888, 305, 3663, 1618, 267, 2274, 662, 19811, 630, 4029, 270, 1015, 270, 866, 264, 630, 8512, 476, 274, 994, 268, 1684, 649, 991, 3327, 9204, 538, 606, 5736, 540, 10464, 5710, 1963, 888, 305, 3663, 1618, 267, 2274, 662, 19811, 630, 4029, 270, 1015, 270, 866, 264, 630, 8512, 476, 275, 994, 268, 1215, 547, 14600, 580, 622, 8693, 7827, 454, 8379, 293, 674, 14166, 18554, 267, 27950, 3474, 787, 630, 974, 600, 6205, 1070, 7338, 13391, 12584, 8615, 731, 267, 5261, 717, 321, 2129, 537, 328, 267, 14943, 3873, 601, 19681, 267, 8841, 631, 14125, 553, 267, 2725, 327, 10972, 14780, 1170, 328, 267, 1325, 11985, 20961, 543, 13391, 14563, 1744, 836, 630, 19751, 476, 1001, 280, 994, 268, 8571, 513, 6516, 547, 1397, 875, 24307, 666, 1291, 547, 519, 19993, 3977, 540, 3039, 1648, 563, 268, 1548, 616, 519, 2797, 2042, 538, 10962, 610, 9870, 3327, 9204, 286, 25826, 2009, 3435, 547, 891, 2042, 454, 268, 7994, 1079, 4507, 585, 4227, 3327, 5434, 824, 982, 1210, 3327, 9204, 286, 14424, 741, 7145, 609, 3327, 9204, 563, 268, 1215, 568, 3014, 3069, 4143, 547, 3478, 3486, 6876, 593, 5969, 8511, 3154, 5434, 286, 4208, 568, 972, 2693, 547, 581, 513, 14586, 685, 14196, 1966, 538, 8757, 543, 23578, 547, 971, 11650, 286, 1215, 1522, 519, 1966, 540, 513, 14586, 685, 14196, 581, 7753, 538, 971, 6381, 888, 2467, 568, 2810, 6284, 602, 519, 1158, 568, 6849, 513, 2916, 6595, 269, 31700, 616, 3395, 827, 519, 14124, 2360, 540, 2518, 8337, 593, 4365, 3270, 267, 609, 2810, 26221, 267, 4104, 11642, 267, 17160, 543, 24377, 269, 10979, 9212, 616, 13621, 543, 22260, 1427, 11661, 267, 609, 3702, 550, 8375, 4262, 2157, 269, 13206, 527, 1846, 543, 24454, 616, 1373, 10032, 269, 1656, 1082, 540, 519, 2360, 3100, 547, 581, 9648, 811, 6385, 982, 1185, 5892, 1044, 4397, 563, 15761, 8012, 31052, 542, 814, 588, 3042, 17600, 538, 1082, 2477, 282, 519, 1974, 689, 476, 736, 547, 476, 2767, 5181, 4718, 513, 5001, 2916, 10880, 630, 5408, 849, 1070, 609, 6634, 540, 1004, 15292, 532, 543, 1453, 6028, 1153, 547, 13889, 282, 513, 8693, 11059, 27169, 3576, 1747, 693, 519, 2136, 8315, 267, 609, 513, 678, 17639, 4633, 676, 13983, 3279, 774, 684, 6199, 267, 519, 476, 1626, 1032, 6040, 16528, 19191, 282, 519, 6167, 779, 3955, 32744, 19937, 593, 8693, 7827, 630, 7709, 6717, 264, 814, 1175, 5950, 513, 1867, 609, 2963, 6029, 602, 519, 13621, 540, 4672, 9212, 543, 8375, 4262, 2157, 568, 811, 4028, 982, 5892, 2219, 282, 693, 922, 5993, 5428, 10554, 538, 24761, 517, 267, 519, 23267, 9549, 26823, 3022, 602, 267, 538, 2229, 267, 621, 1131, 3142, 4464, 519, 5177, 779, 3077, 585, 4642, 2121, 3327, 5434, 689, 476, 13078, 271, 547, 476, 10711, 271, 563, 19102, 2084, 569, 3007, 568, 2519, 593, 1018, 666, 581, 2944, 269, 2311, 1101, 8289, 267, 621, 1522, 3100, 607, 952, 519, 2626, 6013, 9003, 609, 2916, 3744, 267, 2825, 1235, 267, 1099, 5505, 267, 14761, 543, 2872, 269, 1879, 519, 2339, 568, 5941, 538, 519, 2923, 267, 621, 568, 1419, 519, 1604, 5330, 550, 267, 519, 2257, 5330, 550, 267, 519, 2797, 5330, 550, 610, 519, 1870, 5330, 550, 945, 5359, 593, 7835, 538, 3609, 269, 1809, 9297, 814, 606, 11613, 3844, 1909, 547, 1404, 538, 1312, 519, 2079, 540, 519, 1966, 543, 538, 6313, 519, 7145, 540, 4244, 3435, 563, 3080, 540, 519, 1883, 1919, 602, 24192, 798, 568, 547, 4983, 15314, 543, 875, 789, 1764, 593, 1480, 7180, 269, 11569, 267, 1620, 519, 1374, 543, 7145, 540, 15314, 568, 835, 540, 519, 476, 1428, 774, 11611, 16610, 649, 2697, 538, 519, 6215, 2674, 2835, 563, 3080, 540, 519, 1034, 9565, 2090, 540, 519, 1764, 540, 2916, 1689, 543, 1797, 540, 5466, 621, 729, 519, 1353, 1394, 538, 476, 1220, 277, 267, 634, 13188, 540, 8693, 7827, 281, 634, 590, 1181, 5623, 267, 3366, 676, 519, 30168, 11184, 22956, 590, 1181, 269, 634, 5623, 10630, 24192, 685, 7440, 602, 2916, 1689, 4564, 513, 7372, 5821, 540, 6990, 543, 540, 6608, 1932, 269, 674, 8787, 543, 2043, 666, 12520, 8511, 9362, 883, 519, 5790, 693, 1100, 5279, 547, 2933, 267, 1256, 1498, 621, 791, 4680, 3790, 593, 1866, 269, 1452, 5007, 3790, 616, 2009, 1317, 519, 5790, 568, 513, 1857, 1434, 267, 799, 568, 1863, 547, 17908, 563, 8512, 540, 519, 3070, 568, 547, 2048, 514, 4156, 1047, 685, 891, 5007, 885, 676, 25412, 10997, 593, 1004, 543, 10909, 585, 741, 5434, 267, 971, 607, 25412, 2362, 9204, 593, 6517, 609, 1164, 9688, 5434, 610, 593, 5755, 30187, 1379, 10473, 269, 901, 666, 581, 2944, 998, 519, 3454, 1062, 267, 609, 2048, 13582, 685, 9204, 543, 10997, 269, 8859, 1235, 1353, 519, 7145, 540, 891, 543, 875, 1454, 789, 616, 2693, 547, 1689, 1004, 779, 7180, 563, 5194, 851, 540, 519, 3070, 568, 547, 13564, 1047, 3039, 8925, 267, 971, 607, 3859, 543, 2842, 1379, 267, 602, 1683, 2318, 2825, 5007, 885, 269, 1809, 1586, 267, 1175, 875, 17841, 786, 3747, 581, 286, 901, 1586, 568, 1945, 602, 24192, 1353, 563, 8170, 1576, 267, 4657, 1480, 7180, 568, 711, 1175, 827, 9870, 519, 5777, 540, 2238, 602, 1711, 2942, 2825, 5007, 885, 543, 16715, 519, 5777, 540, 1346, 602, 1711, 2318, 3283, 269, 3487, 540, 519, 3070, 6013, 538, 2069, 547, 1118, 1004, 3222, 540, 519, 2825, 5222, 540, 741, 2238, 543, 1018, 666, 581, 2944, 827, 621, 269, 634, 1966, 1934, 568, 602, 972, 568, 513, 3668, 540, 1344, 1107, 513, 5929, 2344, 5821, 269, 10435, 1004, 3222, 540, 519, 4539, 540, 741, 3527, 666, 1404, 513, 1883, 851, 538, 519, 2804, 3664, 789, 1118, 269, 8859, 1235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7072, 281, 7216, 19974, 595, 2456, 630, 4488, 290, 264, 5540, 513, 1713, 8167, 540, 519, 1126, 2551, 5001, 269, 6428, 643, 776, 5946, 2270, 513, 3984, 8878, 1062, 602, 4249, 513, 1909, 538, 519, 1286, 625, 31630, 269, 13667, 281, 1677, 20272, 519, 3940, 9043, 543, 2892, 643, 776, 25297, 689, 661, 6717, 543, 1286, 625, 6954, 5396, 269, 10049, 543, 10613, 281, 634, 1297, 540, 5396, 3769, 538, 519, 1353, 729, 476, 1626, 661, 6717, 543, 476, 1626, 1286, 625, 6954, 269, 6428, 643, 776, 25297, 729, 12290, 11617, 543, 2892, 643, 776, 3940, 9043, 729, 21845, 1210, 590, 9169, 623, 17803, 269, 11778, 281, 634, 2947, 1034, 7986, 3940, 13164, 609, 7636, 2527, 476, 1428, 737, 291, 320, 267, 476, 1839, 737, 291, 320, 267, 476, 2568, 737, 291, 320, 267, 476, 4792, 737, 291, 320, 543, 476, 4817, 737, 291, 320, 941, 1336, 538, 661, 6717, 2550, 609, 519, 4908, 540, 20825, 538, 1931, 476, 279, 267, 476, 274, 267, 476, 1626, 267, 476, 277, 267, 476, 273, 543, 1286, 625, 6954, 5396, 476, 1691, 267, 476, 276, 267, 476, 1626, 267, 476, 1626, 267, 476, 280, 269, 634, 19975, 25297, 540, 661, 6717, 3461, 729, 2362, 982, 519, 1286, 625, 6954, 5396, 269, 10390, 281, 769, 661, 6717, 2550, 267, 519, 4908, 540, 20825, 540, 2892, 643, 776, 3940, 9043, 476, 1428, 737, 291, 320, 267, 476, 1839, 737, 291, 320, 267, 476, 4792, 737, 291, 320, 543, 476, 4817, 737, 291, 320, 941, 1336, 1447, 982, 538, 1286, 625, 6954, 5396, 269, 11531, 267, 3940, 9043, 476, 2568, 737, 291, 320, 814, 519, 1482, 4908, 540, 12136, 538, 661, 6717, 543, 1286, 625, 6954, 5396, 269, 966, 4593, 13920, 540, 661, 6717, 3461, 729, 2362, 982, 519, 1286, 625, 6954, 1641, 563, 268, 6428, 643, 776, 1160, 1467, 7304, 747, 26287, 1231, 630, 11266, 11679, 264, 0, 292, 2202, 568, 513, 11782, 4092, 4625, 538, 519, 8832, 25955, 543, 6140, 538, 519, 8109, 25955, 269, 898, 568, 536, 23912, 676, 519, 11848, 7909, 547, 519, 5087, 267, 519, 9533, 7909, 547, 519, 7178, 267, 5607, 547, 519, 7532, 267, 543, 519, 11335, 7256, 547, 519, 5045, 269, 898, 13408, 519, 7262, 2865, 2671, 540, 20195, 14901, 563, 292, 2202, 568, 1034, 4122, 2808, 547, 581, 1609, 337, 6548, 689, 5607, 676, 519, 24659, 17337, 540, 519, 772, 1537, 543, 24272, 30510, 15142, 267, 519, 772, 1537, 5211, 267, 519, 595, 5684, 1014, 543, 4563, 1530, 553, 543, 519, 25825, 540, 519, 15349, 18135, 1080, 269, 4014, 519, 2165, 968, 29657, 892, 10522, 32436, 11585, 267, 519, 10040, 8473, 568, 10169, 17062, 543, 814, 1044, 2699, 18249, 1896, 1205, 4587, 2094, 922, 1101, 17748, 538, 8106, 25196, 269, 634, 1609, 9792, 618, 540, 20195, 14901, 883, 1079, 17407, 9356, 5101, 8862, 652, 2686, 267, 10409, 543, 6803, 3604, 799, 1689, 593, 513, 8552, 2864, 982, 538, 519, 6073, 540, 513, 8325, 12270, 1899, 269, 634, 13664, 581, 1985, 547, 2059, 609, 2342, 543, 5607, 1281, 711, 1246, 1022, 2285, 4734, 547, 4283, 6302, 281, 11894, 267, 6576, 267, 29494, 13568, 267, 11908, 543, 27782, 16330, 616, 1098, 11666, 1581, 2477, 269, 5333, 267, 17577, 267, 13814, 267, 8050, 543, 8678, 8003, 616, 26063, 1098, 11666, 1581, 538, 602, 519, 1292, 27108, 568, 538, 2342, 1256, 1498, 22836, 540, 741, 8513, 616, 4092, 538, 824, 17407, 563, 292, 2202, 6227, 1175, 827, 476, 1015, 267, 5197, 267, 1822, 4009, 21240, 630, 274, 267, 280, 1789, 267, 1822, 13483, 11465, 1070, 610, 476, 273, 260, 540, 519, 3047, 779, 2627, 630, 277, 269, 279, 260, 540, 1753, 1858, 1040, 7971, 1227, 267, 2342, 568, 1609, 337, 6548, 883, 711, 3833, 15823, 19988, 2829, 540, 799, 519, 6739, 18966, 568, 519, 4102, 543, 1034, 29245, 267, 17364, 476, 4375, 260, 540, 519, 11782, 543, 16030, 476, 1428, 260, 540, 922, 2551, 269, 2342, 1185, 513, 2698, 2551, 540, 711, 3833, 476, 278, 6078, 2929, 630, 12671, 476, 1556, 260, 540, 519, 1158, 2551, 264, 607, 540, 476, 1001, 277, 269, 634, 3864, 2916, 568, 7361, 4299, 676, 3905, 9533, 14768, 602, 2191, 24475, 543, 28782, 2390, 1454, 540, 519, 11782, 267, 1256, 693, 4234, 6421, 2059, 799, 519, 2916, 538, 5607, 543, 3345, 3013, 568, 4049, 269, 24045, 689, 519, 4262, 267, 12119, 3604, 616, 811, 18476, 982, 2673, 547, 519, 5032, 563, 292, 2202, 267, 538, 1880, 3504, 10255, 543, 3504, 7507, 267, 729, 519, 4332, 2897, 540, 5375, 10340, 269, 634, 6749, 540, 519, 5375, 4936, 7276, 538, 476, 5325, 277, 5084, 543, 519, 7766, 24779, 1974, 6825, 519, 3247, 540, 3504, 5638, 543, 519, 22612, 540, 519, 4099, 12698, 269, 11193, 1480, 1143, 267, 3408, 267, 1148, 543, 2257, 3366, 547, 519, 17740, 656, 5736, 269, 1394, 519, 6520, 540, 20570, 3323, 676, 17577, 543, 8050, 267, 2342, 5129, 513, 12880, 1909, 538, 2518, 12602, 269, 538, 519, 1647, 540, 519, 476, 1626, 628, 543, 476, 736, 628, 5553, 267, 3864, 7060, 6417, 693, 1585, 2053, 519, 17113, 267, 3592, 782, 540, 4000, 543, 7909, 807, 543, 519, 5354, 540, 5607, 563, 763, 6520, 540, 21654, 267, 519, 7766, 3943, 14784, 543, 519, 16486, 4577, 12668, 8032, 519, 11782, 15520, 267, 20833, 543, 17215, 689, 519, 3247, 540, 519, 476, 1704, 628, 2540, 2394, 519, 1101, 3368, 540, 519, 476, 866, 628, 2540, 269, 634, 11633, 7169, 267, 799, 3459, 538, 1434, 6628, 693, 519, 3247, 540, 519, 476, 1240, 628, 2540, 267, 5795, 4473, 547, 1486, 6856, 2804, 267, 2686, 543, 1514, 18985, 538, 5375, 2342, 543, 5555, 519, 9962, 1158, 269, 5637, 1158, 10617, 3576, 1747, 585, 519, 1034, 851, 538, 2342, 267, 7700, 547, 513, 2165, 3729, 538, 5375, 3864, 17282, 538, 1158, 12602, 676, 519, 4571, 268, 736, 628, 2540, 607, 519, 8168, 20174, 543, 519, 24027, 2276, 3576, 23146, 269, 4438, 519, 15470, 344, 2782, 267, 2342, 729, 711, 6340, 2059, 519, 11635, 4354, 1555, 538, 519, 22984, 540, 24114, 538, 519, 4639, 543, 519, 32160, 6876, 538, 519, 5101, 267, 2394, 519, 26201, 540, 476, 2735, 280, 543, 2887, 540, 519, 12670, 9931, 563, 1103, 476, 3707, 280, 519, 7027, 540, 2342, 729, 8547, 267, 950, 513, 4633, 676, 11184, 12736, 8725, 26235, 267, 2921, 883, 2272, 519, 2856, 540, 796, 4328, 2342, 547, 9585, 1455, 3853, 269, 898, 2882, 782, 3864, 2829, 4849, 585, 5617, 22654, 267, 27782, 16330, 543, 28912, 4975, 269, 1007, 3864, 5610, 676, 930, 2829, 3366, 547, 519, 5250, 540, 519, 3864, 6125, 630, 31323, 1070, 513, 1812, 2797, 11769, 602, 6013, 538, 519, 22984, 540, 513, 1476, 539, 3130, 543, 513, 10480, 3130, 269, 634, 9167, 12090, 538, 5375, 2342, 855, 814, 1044, 9750, 7532, 1189, 5892, 519, 2887, 540, 519, 8168, 9769, 538, 476, 1960, 272, 269, 634, 9304, 540, 1034, 2477, 540, 519, 3864, 5742, 267, 519, 20789, 267, 568, 519, 1034, 4122, 1031, 10483, 676, 17417, 282, 543, 519, 9167, 779, 2480, 26907, 523, 1747, 13373, 8460, 3413, 1460, 543, 11776, 8060, 538, 519, 22984, 540, 1034, 540, 922, 1139, 7163, 2829, 563, 301, 528, 3118, 769, 2342, 10934, 814, 513, 3099, 5961, 602, 4448, 547, 12398, 856, 519, 1034, 2487, 5961, 540, 16157, 769, 2342, 10934, 1934, 267, 543, 32047, 596, 666, 1205, 519, 5961, 998, 938, 1655, 6862, 3118, 538, 21570, 4786, 4015, 269, 16157, 769, 2342, 10934, 5961, 538, 1934, 616, 11540, 543, 23345, 676, 5728, 332, 5237, 14492, 585, 707, 6862, 3118, 538, 21570, 4786, 2592, 4015, 269, 634, 2592, 602, 11478, 538, 16157, 769, 2342, 10934, 616, 9967, 540, 1655, 2592, 543, 1164, 1604, 5961, 563, 4322, 1082, 5961, 540, 16157, 769, 2342, 10934, 1592, 949, 1831, 707, 6667, 543, 21141, 3483, 269, 1284, 6999, 596, 2972, 543, 13854, 1739, 938, 1655, 4605, 540, 16157, 769, 2342, 10934, 689, 938, 934, 745, 531, 602, 11540, 1934, 543, 609, 596, 666, 946, 621, 585, 3339, 2115, 585, 2123, 946, 1152, 269, 634, 4786, 4099, 2319, 26063, 2488, 519, 3063, 5961, 540, 16157, 769, 2342, 10934, 538, 1164, 9502, 543, 7454, 7099, 602, 666, 581, 22434, 676, 4945, 593, 519, 19922, 2630, 519, 16157, 769, 2342, 10934, 4605, 563, 2791, 631, 697, 4746, 6145, 10778, 572, 4038, 332, 5237, 14492, 666, 1651, 924, 596, 547, 10536, 519, 5767, 8480, 1175, 827, 16157, 769, 2342, 10934, 269, 1964, 4450, 14313, 269, 1284, 1459, 513, 1283, 2298, 7381, 8666, 2147, 547, 11967, 11863, 543, 782, 952, 596, 516, 7234, 519, 15335, 11768, 607, 922, 18005, 1572, 269, 901, 1357, 568, 1500, 547, 2490, 707, 4652, 31944, 4055, 883, 513, 2649, 4601, 26729, 4055, 538, 2649, 4601, 513, 5618, 2179, 540, 942, 269, 865, 13071, 16153, 513, 8273, 7755, 644, 6510, 4010, 1018, 519, 6862, 3118, 538, 21570, 4786, 269, 568, 3388, 711, 3833, 543, 4010, 1018, 621, 666, 7654, 12492, 585, 596, 269, 538, 32649, 540, 1818, 606, 5707, 10474, 547, 606, 4540, 7226, 621, 568, 2182, 547, 3132, 513, 1134, 9113, 9407, 10211, 952, 519, 4540, 1826, 543, 1374, 723, 711, 1044, 3144, 883, 7156, 563, 14090, 540, 6862, 3118, 4786, 540, 21570, 21570, 4786, 1373, 1634, 585, 922, 4190, 10239, 535, 329, 3581, 543, 28813, 3141, 6862, 3118, 568, 2808, 547, 581, 835, 540, 519, 6305, 15805, 18353, 19951, 538, 1249, 519, 14255, 518, 1195, 325, 329, 867, 543, 2520, 597, 9734, 325, 329, 867, 616, 1175, 930, 540, 519, 1134, 1634, 535, 329, 3581, 538, 6862, 3118, 799, 814, 1044, 12286, 538, 796, 525, 1723, 1158, 6561, 4609, 6862, 3118, 4087, 593, 519, 21570, 4786, 6609, 713, 4786, 2982, 1141, 6862, 3118, 568, 4092, 593, 519, 21570, 4786, 4786, 6862, 3118, 2951, 21570, 2951, 3391, 543, 7851, 6862, 3118, 568, 513, 1279, 543, 6140, 7522, 2197, 538, 7187, 21570, 835, 540, 519, 1158, 521, 7187, 2865, 2477, 621, 26328, 519, 7262, 6712, 540, 519, 23215, 20680, 1014, 25345, 4786, 540, 6862, 3118, 6862, 3118, 4525, 6862, 3118, 11315, 10274, 513, 678, 2089, 1782, 5251, 540, 795, 698, 3022, 7823, 19589, 1212, 1136, 22260, 543, 1835, 4770, 1216, 17517, 6862, 3118, 568, 21570, 693, 922, 1034, 1016, 331, 830, 519, 2197, 568, 606, 7045, 19069, 1612, 17284, 543, 596, 666, 1294, 621, 782, 1510, 8209, 7836, 513, 19539, 4786, 540, 6862, 3118, 538, 21570, 543, 2951, 1344, 4647, 4786, 540, 4786, 540, 6862, 3118, 538, 21570, 543, 2951, 1344, 7851, 540, 6862, 3118, 4015, 540, 7851, 540, 6862, 3118, 21570, 6862, 3118, 13166, 519, 10806, 540, 6862, 3118, 568, 513, 19988, 543, 1770, 776, 21257, 4171, 8513, 13408, 519, 7262, 6712, 540, 519, 23215, 20680, 1014, 25345, 7132, 519, 6532, 23891, 949, 523, 543, 519, 2895, 28396, 540, 521, 1998, 321, 731, 4786, 540, 6862, 3118, 24949, 17839, 564, 635, 4786, 540, 6862, 3118, 543, 2951, 1344, 827, 6862, 3118, 4547, 547, 596, 676, 24949, 4541, 6862, 3118, 4786, 11585, 540, 6862, 3118, 4786, 540, 6862, 3118, 827, 476, 1015, 476, 1822, 1296, 3516, 1282, 519, 2063, 4672, 2085, 6862, 3118, 729, 4988, 676, 513, 476, 275, 9481, 518, 5394, 4494, 540, 4672, 950, 602, 4672, 6368, 1427, 8972, 610, 24268, 922, 3350, 2066, 519, 2244, 4646, 1082, 10195, 543, 7961, 10179, 762, 12647, 543, 12535, 21570, 4786, 7851, 540, 21570, 4786, 540, 21570, 609, 2477, 543, 1698, 8558, 476, 23841, 271, 9943, 1001, 274, 476, 272, 476, 2537, 544, 321, 979, 547, 4786, 2797, 4786, 540, 21570, 21570, 4786, 4786, 540, 21570, 5013, 11585, 1686, 540, 21570, 4786, 21570, 568, 519, 4541, 521, 476, 277, 628, 4102, 11782, 543, 2882, 476, 5325, 2477, 543, 1028, 9285, 29444, 10195, 543, 11182, 21570, 521, 6444, 2627, 1858, 6227, 827, 476, 280, 476, 280, 4343, 476, 1822, 13483, 5998, 476, 274, 476, 279, 4391, 476, 5400, 274, 13483, 11465, 610, 476, 273, 540, 519, 3618, 521, 2627, 543, 827, 476, 277, 476, 279, 540, 922, 2244, 1858, 0, 288, 9160, 568, 513, 536, 5407, 267, 513, 6219, 1031, 585, 4070, 602, 5036, 267, 2182, 839, 267, 543, 740, 12742, 547, 824, 2326, 547, 12622, 873, 1927, 269, 24533, 568, 25864, 1031, 593, 922, 1378, 267, 855, 2864, 547, 12622, 5070, 543, 18574, 1927, 5861, 324, 618, 6404, 609, 5386, 14919, 7472, 27341, 585, 544, 21863, 267, 610, 609, 5070, 543, 18574, 267, 7472, 6405, 5861, 324, 618, 568, 519, 1034, 4922, 1031, 1570, 538, 6228, 543, 568, 1152, 3297, 1216, 607, 454, 5649, 938, 6075, 2665 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18824, 2363, 638, 655, 267, 729, 513, 14547, 21471, 540, 9174, 543, 3165, 4171, 22516, 1185, 12349, 538, 476, 15704, 278, 1018, 729, 1287, 1634, 607, 519, 1395, 3279, 793, 324, 10040, 269, 634, 2347, 3594, 540, 1395, 3279, 793, 324, 676, 8020, 3559, 2363, 638, 655, 632, 1395, 3279, 793, 324, 267, 476, 7818, 24699, 30420, 4366, 277, 272, 267, 2139, 693, 1433, 7263, 7480, 609, 1863, 6765, 5001, 269, 18466, 632, 1395, 3279, 793, 324, 6170, 1010, 3803, 1296, 693, 519, 669, 5889, 974, 879, 632, 1395, 3279, 793, 324, 1141, 646, 4797, 547, 1224, 543, 960, 593, 1010, 3594, 646, 5747, 593, 476, 2537, 694, 4697, 476, 14689, 273, 1247, 6217, 2527, 538, 1010, 4055, 563, 307, 1010, 3126, 568, 827, 8020, 3559, 2363, 638, 655, 632, 1395, 3279, 793, 324, 267, 513, 476, 1626, 628, 10601, 14544, 945, 6069, 1100, 6436, 267, 2322, 1100, 3972, 538, 2601, 267, 543, 4951, 1100, 7287, 547, 18609, 3988, 540, 4376, 538, 1010, 5318, 269, 18466, 2363, 638, 655, 632, 1395, 3279, 793, 324, 729, 835, 540, 519, 1034, 9565, 5830, 540, 519, 18008, 25174, 267, 1634, 585, 2442, 1944, 519, 1557, 607, 513, 5339, 9135, 646, 2968, 4583, 585, 1010, 4674, 1652, 2702, 547, 19467, 3978, 7214, 5751, 609, 13680, 23278, 4925, 543, 26249, 11652, 1010, 7372, 4320, 1089, 9820, 3568, 267, 547, 713, 1554, 267, 930, 540, 519, 1034, 4922, 9565, 3594, 2479, 2854, 269, 8053, 5218, 324, 781, 3594, 8020, 3559, 2363, 638, 655, 632, 1395, 3279, 793, 324, 630, 14631, 274, 268, 14689, 273, 264, 1395, 3279, 793, 324, 781, 3594, 8370, 543, 1000, 550, 773, 5067, 26506, 540, 2848, 1597, 632, 3288, 1630, 564, 773, 11783, 18466, 632, 1395, 3279, 793, 324, 267, 27095, 5324, 476, 2764, 267, 18008, 25174, 14544, 8020, 3559, 2363, 638, 655, 632, 1395, 3279, 793, 324, 729, 4535, 593, 519, 476, 2764, 27095, 5324, 476, 14631, 274, 538, 669, 5889, 974, 879, 632, 1395, 3279, 793, 324, 267, 23920, 2173, 545, 3559, 11546, 2173, 2632, 5218, 324, 267, 535, 8896, 267, 646, 729, 4535, 883, 513, 14547, 267, 15626, 18008, 1920, 563, 31466, 3559, 2363, 638, 655, 632, 1395, 3279, 793, 324, 267, 3622, 1634, 607, 8020, 3559, 632, 1395, 3279, 793, 324, 267, 729, 4535, 593, 27095, 5324, 476, 2764, 267, 476, 14631, 274, 267, 538, 669, 5889, 974, 879, 632, 1395, 3279, 793, 324, 630, 333, 792, 536, 867, 324, 14513, 267, 535, 8896, 264, 1395, 3279, 793, 324, 781, 14547, 4651, 267, 533, 18824, 2363, 638, 655, 632, 1395, 3279, 793, 324, 267, 4956, 547, 20741, 1010, 5067, 781, 7214, 1646, 676, 1818, 32204, 1010, 1101, 1893, 269, 2986, 28994, 756, 1023, 568, 606, 1557, 689, 513, 4015, 676, 8020, 3559, 632, 1395, 3279, 793, 324, 267, 3274, 11331, 3594, 267, 610, 1089, 9820, 538, 519, 3312, 18008, 519, 4015, 540, 936, 476, 1911, 3594, 12538, 883, 519, 4641, 540, 1480, 269, 18466, 2363, 638, 655, 632, 1395, 3279, 793, 324, 729, 4535, 693, 519, 669, 5889, 974, 879, 632, 1395, 3279, 793, 324, 593, 27095, 5324, 476, 2764, 267, 476, 14631, 274, 538, 519, 533, 2946, 3419, 867, 3148, 540, 27623, 535, 8896, 646, 729, 519, 5067, 540, 533, 18824, 2363, 638, 655, 267, 513, 3638, 21471, 945, 1185, 934, 17660, 547, 28665, 1739, 1010, 5859, 538, 621, 3315, 609, 4622, 21473, 30241, 1775, 540, 535, 8896, 267, 543, 606, 1729, 6839, 974, 561, 6759, 19649, 632, 5636, 534, 826, 9366, 630, 528, 606, 1729, 6839, 974, 632, 21514, 653, 525, 1070, 513, 3638, 269, 0, 4467, 13025, 267, 10097, 543, 1970, 28003, 8027, 568, 2009, 267, 855, 2687, 547, 4966, 693, 13723, 779, 2817, 17072, 593, 8899, 12539, 24184, 585, 8899, 20677, 5600, 9302, 267, 972, 616, 2789, 2591, 602, 991, 21365, 547, 1205, 972, 563, 16391, 2213, 676, 519, 10911, 290, 585, 8899, 12539, 12389, 267, 6789, 289, 4488, 543, 519, 2160, 540, 654, 3326, 784, 784, 630, 308, 8582, 1070, 519, 8468, 4547, 1927, 13222, 689, 519, 711, 16519, 17416, 5823, 267, 2146, 8027, 267, 2229, 8041, 267, 6189, 267, 1648, 7426, 267, 3173, 543, 4557, 656, 14223, 2516, 547, 10002, 871, 7496, 547, 12419, 8027, 602, 568, 1312, 10097, 543, 4264, 269, 4033, 7886, 8268, 1761, 11444, 547, 8236, 519, 3804, 267, 1519, 3609, 4485, 267, 2994, 585, 1427, 19745, 1080, 267, 875, 547, 2087, 2773, 540, 1007, 13976, 267, 543, 519, 2591, 540, 10962, 16601, 5934, 4441, 585, 1648, 4398, 538, 23934, 17743, 902, 269, 772, 8582, 12655, 29844, 3194, 10418, 8689, 7905, 6754, 23101, 5143, 634, 25004, 24529, 602, 1247, 16601, 5934, 4441, 941, 2877, 267, 972, 941, 930, 1761, 2258, 2510, 269, 3367, 519, 2407, 2376, 593, 519, 25004, 24529, 563, 26581, 787, 20887, 1472, 1164, 1942, 543, 4057, 2344, 1719, 538, 1648, 3608, 5321, 3136, 547, 29572, 519, 2527, 10073, 540, 1970, 3327, 8027, 269, 21013, 779, 5600, 9727, 602, 1970, 3327, 8027, 568, 3015, 543, 1942, 2500, 269, 634, 10060, 9524, 619, 3126, 20502, 875, 1862, 5649, 811, 454, 10932, 14439, 602, 1753, 1374, 2115, 547, 15109, 1312, 1648, 4398, 543, 3002, 2566, 4187, 269, 17497, 267, 14844, 295, 8991, 1152, 6212, 593, 1648, 4398, 269, 1403, 519, 2679, 9479, 616, 711, 9168, 267, 1287, 2777, 6272, 799, 1152, 1445, 593, 14844, 295, 8991, 1223, 28148, 1764, 1004, 781, 1862, 5649, 811, 454, 6624, 3964, 5321, 630, 2865, 8241, 5321, 264, 1685, 3833, 14605, 538, 2474, 540, 1648, 4398, 543, 824, 4199, 946, 269, 5851, 22058, 566, 568, 513, 1883, 1448, 693, 799, 6940, 1223, 581, 4824, 607, 1004, 723, 2907, 4956, 547, 6108, 2724, 593, 22058, 566, 630, 16341, 1269, 3953, 321, 513, 1032, 1862, 5649, 811, 454, 11754, 7675, 1648, 946, 538, 519, 3710, 1604, 568, 1175, 835, 2460, 540, 519, 3327, 5786, 4161, 267, 2687, 547, 634, 14272, 2745, 7577, 8783, 10324, 3220, 8349, 710, 715, 565, 2401, 269, 18601, 519, 22993, 3327, 538, 2679, 2326, 568, 849, 4105, 563, 2304, 11606, 540, 3621, 2090, 2798, 547, 2963, 602, 11255, 2825, 2298, 630, 23966, 304, 264, 814, 513, 1463, 1198, 593, 1072, 267, 4313, 267, 8171, 543, 7607, 269, 25392, 602, 1004, 6108, 513, 1804, 2179, 540, 741, 942, 16280, 267, 621, 568, 2629, 602, 2679, 9086, 5849, 6190, 2157, 540, 594, 292, 304, 547, 3895, 2635, 543, 6899, 11255, 5054, 563, 763, 3864, 5742, 568, 6849, 513, 5595, 4161, 281, 2810, 2679, 22058, 566, 3928, 1247, 17935, 693, 8236, 968, 1372, 788, 22058, 725, 6100, 23207, 519, 1699, 9167, 22058, 566, 2557, 689, 476, 272, 269, 273, 260, 829, 3045, 636, 547, 476, 273, 268, 274, 260, 568, 1898, 547, 2743, 1312, 519, 9167, 476, 1708, 271, 9072, 543, 519, 7029, 17298, 538, 8303, 538, 5412, 476, 1001, 276, 563, 290, 1478, 532, 22908, 543, 6821, 540, 5656, 609, 10664, 568, 513, 1434, 1259, 540, 4227, 8511, 3154, 5434, 269, 1656, 891, 3039, 22908, 543, 6821, 1118, 4872, 1413, 12137, 518, 269, 17842, 779, 3844, 1870, 8664, 7550, 513, 3609, 540, 9591, 3039, 22908, 593, 1472, 3368, 540, 782, 2749, 5656, 538, 476, 1220, 280, 269, 3194, 2982, 713, 1223, 2569, 5021, 2749, 5210, 676, 909, 547, 476, 276, 11433, 481, 269, 0, 2467, 779, 2963, 602, 2798, 547, 519, 7271, 3297, 519, 2360, 540, 3165, 3282, 593, 1560, 5888, 267, 6029, 602, 3170, 8781, 693, 1964, 568, 2799, 609, 476, 277, 10101, 27473, 540, 3165, 3282, 21455, 267, 543, 3606, 1382, 5267, 602, 2362, 15060, 268, 274, 2157, 949, 581, 5363, 585, 7393, 2893, 328, 1214, 1282, 2597, 2530, 3646, 269, 4033, 2963, 5267, 602, 3170, 2530, 949, 581, 513, 2427, 13716, 540, 519, 5786, 538, 6553, 602, 3165, 3282, 666, 948, 609, 269, 7102, 1259, 596, 1413, 693, 621, 267, 5885, 707, 8192, 6208, 609, 476, 275, 610, 811, 10101, 540, 3165, 3282, 829, 1554, 568, 4440, 513, 1434, 2856, 2336, 6781, 7538, 8501, 610, 3170, 2157, 538, 519, 1973, 630, 323, 903, 28309, 573, 8598, 1040, 1703, 568, 20849, 2963, 827, 519, 2360, 540, 3165, 3282, 593, 8501, 543, 3170, 2157, 538, 519, 1973, 269, 2368, 1382, 2982, 602, 2921, 3165, 3282, 666, 2539, 27831, 728, 2157, 267, 1970, 5860, 9067, 29952, 630, 299, 13036, 610, 834, 21112, 8442, 8501, 267, 543, 2333, 1164, 5860, 9067, 29952, 630, 8461, 299, 610, 834, 16591, 8442, 8501, 538, 1004, 609, 9402, 8501, 2157, 269, 1717, 267, 824, 1382, 2982, 602, 2921, 3165, 3282, 3232, 1281, 711, 723, 713, 1198, 563, 2005, 6818, 538, 2470, 538, 1614, 3029, 267, 835, 6508, 689, 2244, 2371, 543, 1079, 6508, 689, 7286, 2959, 269, 769, 519, 1560, 267, 15060, 268, 274, 568, 3810, 13671, 538, 519, 2634, 282, 621, 568, 2565, 547, 519, 5250, 543, 5826, 540, 8229, 1591, 17011, 269, 3194, 2982, 602, 538, 519, 8401, 1062, 267, 15060, 268, 274, 338, 6536, 519, 1646, 540, 2634, 5547, 787, 543, 519, 4393, 540, 1344, 269, 1358, 849, 1404, 1271, 5107, 538, 11689, 1944, 7099, 543, 588, 3058, 1055, 5042, 7771, 269, 8899, 2157, 540, 15060, 268, 274, 338, 616, 5532, 547, 4057, 3965, 543, 4965, 269, 26102, 268, 274, 9600, 616, 849, 2565, 585, 519, 5250, 540, 4550, 13611, 6675, 538, 519, 1560, 563, 288, 476, 1001, 273, 1353, 3238, 1453, 689, 476, 277, 547, 476, 1321, 1296, 540, 2085, 609, 11838, 945, 941, 1373, 5701, 609, 18861, 335, 1156, 28371, 543, 3044, 2623, 3797, 585, 811, 982, 3670, 3275, 269, 634, 3237, 540, 891, 1453, 4080, 1100, 6454, 538, 2623, 543, 4081, 1565, 1210, 891, 3044, 5574, 269, 634, 3173, 14477, 5795, 930, 540, 519, 1453, 606, 15060, 268, 274, 543, 15060, 268, 277, 3679, 21455, 610, 513, 21897, 269, 1358, 1336, 968, 560, 520, 12264, 1713, 6454, 892, 585, 519, 15060, 1895, 538, 519, 1739, 6688, 281, 1964, 16531, 267, 26490, 4369, 267, 11264, 960, 543, 4081, 2773, 269, 630, 276, 994, 763, 2090, 25945, 2367, 543, 2021, 267, 930, 2635, 543, 1866, 609, 4540, 10108, 689, 3345, 3013, 267, 2342, 267, 5245, 543, 5607, 269, 19893, 941, 14477, 8655, 547, 2333, 741, 15060, 476, 274, 9600, 610, 547, 2226, 741, 8912, 6981, 540, 3170, 585, 693, 2547, 513, 1032, 269, 4107, 2090, 11567, 519, 1764, 540, 4758, 513, 1279, 7302, 664, 15060, 476, 274, 7110, 538, 513, 23555, 1106, 543, 3379, 621, 547, 513, 546, 16244, 10788, 269, 8307, 513, 1906, 12290, 2898, 3165, 6981, 269, 4107, 589, 6369, 8062, 3773, 15060, 476, 274, 9600, 547, 3536, 971, 607, 5768, 25978, 543, 5795, 891, 23353, 3536, 267, 610, 6923, 589, 6369, 11656, 3536, 971, 607, 9267, 22756, 267, 547, 1004, 538, 519, 6304, 2516, 267, 543, 8912, 630, 12061, 10276, 878, 1117, 264, 3536, 547, 824, 5171, 563, 763, 1585, 11476, 630, 4596, 311, 543, 29486, 311, 264, 602, 1118, 12982, 552, 545, 657, 534, 6950, 666, 13918, 1312, 21191, 543, 16501, 267, 855, 1586, 1813, 547, 519, 3152, 8901, 2450, 540, 667, 11190, 267, 891, 11476, 786, 723, 7411, 538, 14291, 667, 11190, 883, 552, 545, 657, 534, 6950, 269, 901, 2306, 667, 11190, 513, 4057, 14041, 585, 891, 1883, 12982, 11476, 269, 4935, 667, 11190, 1586, 814, 2370, 1198, 593, 10408, 6553, 6466, 16501, 666, 723, 513, 3532, 1764, 563, 15703, 824, 9382, 540, 519, 2963, 723, 1044, 2944, 538, 519, 2063, 1906, 1296, 630, 1001, 273, 610, 2663, 1070, 543, 899, 519, 476, 1001, 279, 2079, 543, 519, 589, 16281, 304, 1867, 267, 1034, 1336, 2370, 610, 1100, 2963, 585, 513, 8825, 1198, 540, 15060, 268, 274, 9360, 1996, 2295, 2068, 269, 1717, 267, 930, 4505, 9382, 6700, 602, 15060, 268, 274, 338, 1223, 581, 5363, 269, 634, 3017, 1063, 519, 18960, 8753, 543, 519, 4587, 3283, 949, 2992, 1079, 2242, 936, 942, 912, 3201, 288, 568, 606, 1898, 9761, 3679, 267, 799, 1797, 602, 596, 991, 621, 855, 596, 1590, 1205, 713, 3170, 689, 707, 2732, 1317, 707, 1560, 568, 8572, 547, 3132, 621, 269, 769, 2489, 267, 15060, 476, 274, 9600, 616, 513, 2629, 5057, 540, 782, 1591, 17011, 267, 1519, 519, 3750, 630, 4958, 2088, 264, 543, 2634, 607, 1134, 607, 29000, 538, 519, 1184, 540, 1648, 2504, 547, 1489, 3252, 5473, 519, 2295, 267, 9641, 267, 4761, 1062, 267, 543, 10399, 630, 754, 18355, 1062, 1070, 960, 5265, 269, 272, 454, 12552, 585, 519, 13181, 2376, 269, 1411, 5018, 602, 1346, 2921, 1164, 13066, 540, 667, 11190, 1058, 7110, 621, 609, 10250, 5666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 1169, 1775, 563, 1038, 1948, 1403, 3070, 568, 14323, 267, 621, 781, 519, 19993, 563, 1038, 952, 1016, 23544, 2652, 476, 271, 912, 2018, 952, 1966, 269, 13765, 24449, 6636, 263, 706, 531, 5334, 565, 2567, 3097, 3546, 1966, 269, 1440, 2711, 815, 12242, 454, 3546, 1966, 4732, 1828, 815, 12242, 5334, 565, 454, 2018, 2736, 22562, 1038, 1948, 476, 277, 910, 22352, 18848, 9792, 12750, 4536, 454, 1038, 1900, 815, 14039, 265, 9230, 272, 266, 292, 4916, 12684, 2889, 12378, 269, 1440, 2711, 910, 1966, 269, 706, 531, 8358, 11357, 23544, 454, 1038, 1617, 815, 1966, 269, 26303, 8548, 738, 9852, 738, 267, 1016, 326, 2784, 267, 1900, 994, 8931, 825, 2132, 1966, 267, 1966, 269, 9953, 2711, 19572, 2539, 10734, 895, 8217, 267, 5580, 10734, 895, 8217, 454, 0, 258, 17442, 680, 659, 1014, 540, 606, 12005, 454, 5814, 20956, 273, 607, 20956, 454, 5814, 11885, 607, 5286, 8528, 13548, 815, 20956, 269, 574, 1348, 3488, 321, 4459, 13665, 27970, 3299, 476, 271, 994, 13548, 815, 20956, 269, 637, 1125, 263, 13548, 267, 630, 6110, 267, 476, 4968, 4917, 29764, 269, 574, 19651, 3488, 19152, 3299, 3239, 994, 258, 8794, 476, 273, 526, 1931, 5487, 680, 659, 1014, 7358, 1807, 1510, 21714, 31207, 454, 13548, 310, 984, 815, 20956, 11482, 320, 680, 659, 1014, 263, 13548, 267, 20956, 5861, 309, 318, 5038, 293, 267, 737, 21653, 284, 272, 994, 29764, 269, 574, 19651, 3488, 20479, 281, 476, 273, 526, 18103, 14216, 29719, 530, 270, 334, 2349, 584, 3299, 3239, 310, 984, 994, 258, 8794, 21714, 31207, 547, 4894, 30433, 454, 4565, 584, 815, 20956, 14371, 320, 11701, 7922, 584, 263, 13548, 267, 630, 274, 267, 274, 1070, 476, 271, 12467, 13548, 318, 4565, 584, 815, 20956, 11482, 320, 680, 659, 1014, 263, 4565, 584, 267, 20956, 5861, 309, 318, 5038, 293, 267, 737, 21653, 284, 272, 994, 29764, 269, 574, 19651, 3488, 20479, 281, 476, 273, 526, 18103, 14216, 29719, 3299, 3239, 318, 4565, 584, 994, 29764, 9884, 7159, 7659, 263, 271, 994, 29764, 6155, 652, 5797, 5472, 20360, 3298, 4590, 0, 258, 8256, 793, 320, 18092, 594, 614, 541, 796, 678, 24546, 632, 476, 271, 513, 476, 1015, 552, 791, 3234, 597, 521, 6759, 5979, 17485, 562, 14243, 1067, 657, 8954, 17156, 1303, 516, 476, 274, 454, 14654, 680, 320, 815, 630, 1724, 267, 476, 272, 267, 476, 279, 267, 476, 274, 267, 476, 273, 267, 476, 276, 267, 476, 279, 994, 4289, 320, 815, 29129, 1721, 3693, 334, 538, 8913, 680, 320, 912, 825, 952, 3693, 334, 2999, 476, 276, 912, 1038, 30458, 6910, 16216, 2211, 334, 2020, 2745, 17338, 320, 264, 0, 258, 9773, 881, 320, 8913, 546, 17144, 1642, 476, 272, 620, 476, 1015, 454, 5632, 881, 30685, 815, 703, 9272, 2891, 4467, 334, 1609, 12320, 334, 8913, 546, 807, 630, 272, 620, 476, 1015, 2567, 27328, 2745, 2891, 300, 328, 546, 17144, 1609, 12320, 334, 632, 281, 14307, 1608, 881, 30685, 994, 0, 258, 8256, 793, 320, 3097, 258, 5319, 1714, 521, 580, 340, 1304, 324, 552, 329, 2075, 545, 1470, 694, 1151, 7228, 320, 1608, 4788, 1714, 3331, 350, 16699, 586, 1714, 829, 6403, 5471, 549, 632, 796, 25351, 5451, 978, 25222, 267, 16948, 14248, 334, 3181, 699, 21573, 1212, 541, 15255, 521, 580, 340, 1304, 525, 4632, 281, 620, 1729, 17301, 1070, 606, 11155, 17301, 1040, 4432, 721, 340, 9222, 632, 2041, 605, 1602, 322, 542, 541, 17485, 1130, 2803, 632, 2434, 334, 586, 606, 11155, 267, 586, 16339, 1132, 632, 2041, 791, 3234, 597, 1714, 1267, 5964, 679, 1714, 521, 580, 340, 1304, 324, 3898, 334, 3799, 334, 721, 541, 1035, 550, 657, 586, 1365, 564, 541, 17485, 17611, 659, 3930, 267, 949, 14243, 338, 1529, 553, 267, 1295, 14243, 338, 1529, 553, 586, 6070, 657, 632, 561, 6403, 12795, 2187, 258, 3682, 1602, 322, 542, 320, 1714, 620, 1729, 912, 258, 3682, 1602, 322, 542, 320, 1714, 606, 11155, 912, 258, 22704, 281, 2999, 19327, 11417, 258, 8110, 6403, 5471, 549, 281, 2999, 704, 22015, 549, 11417, 258, 299, 553, 535, 6759, 3944, 10358, 16948, 1608, 4788, 1714, 3331, 350, 16699, 586, 1714, 829, 6403, 5471, 549, 632, 796, 25351, 5451, 978, 25222, 5067, 912, 258, 383, 479, 16699, 281, 620, 1729, 2608, 606, 11155, 454, 258, 8110, 6403, 5471, 549, 281, 630, 531, 1729, 1341, 606, 11155, 264, 2608, 476, 273, 692, 531, 1729, 815, 703, 9272, 2891, 303, 1886, 665, 542, 320, 1714, 620, 1729, 27363, 534, 11155, 815, 703, 9272, 2891, 2889, 1602, 322, 542, 320, 1714, 606, 11155, 27363, 19327, 815, 620, 1729, 2608, 606, 11155, 454, 704, 22015, 549, 815, 630, 531, 1729, 1341, 606, 11155, 264, 2608, 476, 273, 454, 2745, 2891, 22704, 281, 14307, 1858, 994, 2745, 2891, 8110, 22015, 549, 24333, 829, 22015, 549, 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 ]
[ 0, 258, 24344, 10957, 1183, 4177, 454, 258, 7812, 28150, 476, 1001, 279, 692, 639, 20713, 318, 22056, 815, 1412, 7055, 10139, 5320, 318, 22056, 815, 1412, 7055, 639, 20713, 318, 8421, 514, 815, 1412, 7055, 10139, 5320, 318, 8421, 514, 815, 1412, 7055, 8421, 514, 5334, 15471, 815, 1412, 7055, 8421, 514, 318, 3430, 3319, 338, 815, 15234, 7531, 3698, 1292, 10031, 825, 1247, 6936, 281, 476, 1948, 14893, 8520, 692, 1038, 1948, 14893, 3403, 454, 1038, 3903, 815, 3403, 2891, 272, 4700, 8073, 513, 9043, 1422, 333, 4840, 4449, 11434, 834, 273, 4700, 8298, 514, 547, 513, 9043, 1422, 333, 4840, 4449, 11434, 834, 734, 285, 834, 2020, 1038, 1948, 14893, 476, 272, 281, 1711, 9043, 454, 1038, 952, 3903, 2652, 834, 272, 13426, 2018, 9043, 318, 22056, 4590, 2018, 2736, 692, 1038, 1948, 14893, 476, 273, 281, 21189, 547, 9043, 454, 1038, 8640, 3903, 2652, 834, 273, 13426, 2018, 9043, 318, 8421, 514, 4590, 2018, 10957, 318, 1348, 318, 528, 16062, 1679, 4590, 2018, 2736, 692, 1038, 1948, 14893, 476, 274, 281, 1411, 2811, 31945, 454, 1038, 3116, 912, 2018, 1820, 2891, 6546, 781, 711, 606, 4781, 256, 1411, 31945, 31945, 256, 3767, 594, 1294, 1946, 596, 666, 1405, 4383, 707, 18538, 3054, 10590, 9239, 258, 1599, 7829, 9043, 5137, 454, 3698, 9043, 318, 22056, 263, 2567, 476, 1948, 585, 2870, 513, 3593, 2272, 692, 825, 1948, 1016, 1922, 4233, 585, 2870, 513, 27024, 1299, 10957, 454, 825, 1219, 3593, 318, 2908, 318, 12528, 10031, 1038, 2518, 27024, 318, 22056, 267, 10957, 318, 22056, 692, 1038, 1948, 27024, 3403, 454, 1038, 27024, 318, 22056, 815, 3403, 2891, 11767, 707, 27024, 24097, 333, 4840, 4449, 3546, 834, 15010, 19515, 1038, 1247, 6936, 281, 476, 1948, 8520, 547, 2327, 10957, 568, 1482, 692, 2018, 1948, 10957, 3403, 454, 2018, 10957, 318, 22056, 815, 3403, 2891, 11767, 707, 10957, 24097, 333, 4840, 4449, 7386, 834, 15010, 19515, 2018, 1948, 10957, 2638, 3403, 454, 2018, 10957, 318, 22056, 318, 13765, 815, 3403, 2891, 11767, 707, 10957, 1586, 24097, 333, 4840, 14030, 16875, 834, 15010, 834, 2020, 2018, 1948, 11974, 952, 10957, 543, 19027, 616, 519, 1482, 454, 2018, 952, 10957, 318, 22056, 2652, 10957, 318, 22056, 318, 13765, 912, 3546, 2736, 454, 2018, 3116, 912, 3546, 1820, 2891, 27879, 6919, 798, 711, 6474, 256, 7490, 4283, 1586, 256, 315, 333, 15419, 825, 1948, 585, 13936, 3593, 21189, 9623, 454, 825, 1948, 476, 272, 269, 1711, 513, 3758, 476, 273, 269, 31391, 3593, 9623, 476, 274, 269, 4558, 3593, 9623, 538, 3758, 454, 2018, 1948, 3593, 3758, 2012, 568, 23876, 27024, 454, 2018, 1948, 547, 1930, 267, 31391, 3593, 2012, 1039, 1547, 339, 868, 547, 519, 1439, 543, 1930, 602, 3758, 454, 825, 12693, 10790, 17395, 590, 13543, 9358, 595, 19611, 744, 23615, 310, 25492, 4888, 30862, 2207, 11550, 293, 11223, 692, 825, 1948, 1958, 3941, 10957, 454, 825, 1219, 23876, 7272, 817, 318, 12528, 9638, 817, 5320, 318, 16780, 267, 27024, 318, 16780, 2187, 1038, 1958, 7272, 817, 815, 10957, 318, 16780, 454, 1038, 2132, 27024, 318, 16780, 1341, 27719, 333, 257, 1341, 1958, 7272, 817, 692, 825, 1948, 11339, 27024, 543, 10957, 547, 3758, 454, 825, 1219, 3593, 7272, 817, 16062, 1679, 10031, 1038, 1007, 318, 12528, 18316, 815, 1930, 263, 639, 20713, 318, 22056, 1341, 834, 269, 339, 868, 2580, 1412, 342, 5073, 1038, 1007, 318, 12528, 18316, 22182, 263, 16780, 10757, 7272, 817, 318, 12528, 9638, 817, 5320, 318, 22056, 267, 27024, 318, 22056, 11723, 825, 3593, 318, 2908, 318, 12528, 4590, 825, 3593, 7272, 817, 16062, 1679, 10797, 825, 1948, 2061, 1982, 689, 5612, 14656, 454, 825, 23249, 318, 29148, 815, 3403, 2891, 763, 1982, 786, 1631, 2673, 269, 1677, 21189, 4945, 1022, 1883, 543, 882, 320, 4875, 519, 1982, 1701, 9239, 258, 9577, 585, 19883, 883, 513, 3593, 2272, 454, 3698, 9043, 318, 8421, 514, 3890, 1384, 825, 1948, 1016, 1922, 4233, 585, 19883, 27024, 2638, 454, 825, 1219, 3593, 318, 8421, 514, 10031, 1038, 2518, 27024, 318, 8421, 514, 454, 1038, 1247, 6936, 281, 476, 1948, 14871, 2012, 3403, 543, 2638, 8520, 692, 2018, 1948, 12134, 585, 3593, 2012, 3403, 454, 2018, 27024, 318, 8421, 514, 815, 3403, 2891, 8923, 4283, 707, 3593, 2012, 24097, 333, 4840, 14030, 567, 834, 15010, 834, 2020, 2018, 1948, 11974, 3593, 2012, 454, 2018, 2119, 912, 3546, 2119, 15461, 318, 13449, 815, 1930, 263, 639, 20713, 318, 8421, 514, 1341, 834, 269, 339, 868, 2580, 1412, 337, 5073, 2018, 4849, 912, 3546, 1820, 2891, 5825, 20713, 711, 1336, 256, 8347, 1586, 32405, 2018, 3116, 912, 3546, 2119, 15461, 318, 13449, 25379, 4590, 3546, 2736, 692, 825, 1948, 1016, 1922, 4233, 585, 19883, 10957, 2638, 454, 825, 1219, 1780, 318, 8421, 514, 10031, 1038, 2518, 10957, 318, 8421, 514, 267, 21189, 5334, 15471, 267, 21189, 318, 3430, 3319, 338, 454, 1038, 21189, 318, 3430, 3319, 338, 815, 476, 274, 454, 1038, 1247, 6936, 281, 476, 1948, 10957, 3403, 543, 2638, 8520, 454, 2018, 1247, 21189, 5334, 15471, 11203, 476, 272, 543, 21189, 318, 3430, 3319, 338, 11203, 476, 271, 1384, 3546, 1948, 10426, 5320, 3403, 454, 3546, 10957, 318, 8421, 514, 815, 3403, 2891, 8923, 4283, 707, 10957, 24097, 333, 4840, 14030, 11434, 834, 15010, 834, 2020, 3546, 1948, 13098, 1407, 10957, 454, 3546, 1224, 7272, 817, 815, 1930, 263, 639, 20713, 318, 8421, 514, 1341, 834, 269, 339, 868, 2580, 834, 337, 5602, 3546, 10957, 318, 1348, 815, 1224, 7272, 817, 18667, 6050, 3890, 314, 272, 6540, 3546, 1948, 6744, 10957, 6111, 454, 3546, 952, 10957, 318, 1348, 2652, 10957, 318, 8421, 514, 912, 7386, 1820, 2891, 306, 15471, 256, 8298, 3101, 538, 907, 23528, 7386, 21189, 5334, 15471, 815, 476, 272, 454, 3546, 3116, 912, 7386, 21189, 318, 3430, 3319, 338, 20699, 476, 272, 454, 7386, 1820, 2891, 18823, 8091, 10957, 256, 8347, 1586, 269, 3816, 8724, 8942, 14307, 21189, 318, 3430, 3319, 338, 994, 7386, 952, 21189, 318, 3430, 3319, 338, 2652, 476, 271, 912, 13376, 1820, 2891, 2791, 8959, 547, 4283, 519, 2953, 10957, 1932, 1082, 2053, 256, 7490, 2119, 1586, 2663, 269, 27029, 4449, 23526, 27719, 333, 8923, 2673, 519, 1982, 23528, 7386, 3116, 912, 13376, 1780, 692, 825, 3593, 318, 8421, 514, 4590, 825, 1780, 318, 8421, 514, 30800, 3698, 10957, 318, 1348, 318, 528, 16062, 1679, 10031, 825, 1780, 7531, 3698, 1224, 7272, 817, 5320, 318, 550, 1845, 10031, 825, 1780, 7531, 3698, 1007, 7272, 817, 5320, 318, 18782, 263, 2567, 476, 1948, 1280, 2870, 513, 1007, 7127, 547, 4558, 513, 10957, 538, 513, 3593, 2272, 454, 825, 1780, 7531, 10852, 30800, 0, 2745, 19629, 333, 14826, 17006, 476, 272, 5602, 5417, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1911, 267, 476, 273, 2187, 825, 1820, 9217, 267, 1439, 6889, 19515, 825, 1039, 6834, 328, 454, 2745, 19629, 333, 2580, 1039, 2020, 5417, 273, 815, 476, 271, 692, 2745, 19629, 333, 14826, 17006, 476, 273, 5602, 1721, 1535, 538, 2039, 263, 272, 267, 476, 1220, 267, 476, 273, 2187, 825, 1820, 3287, 267, 1439, 6889, 19515, 825, 1039, 273, 6834, 343, 454, 2745, 19629, 333, 2580, 630, 5417, 273, 1315, 476, 2004, 264, 9239, 3698, 3328, 3799, 2187, 825, 1820, 19629, 333, 14826, 19105, 540, 2338, 5602, 825, 562, 333, 815, 476, 271, 454, 825, 585, 562, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 1038, 562, 333, 6834, 562, 454, 825, 1820, 19629, 333, 2580, 630, 25699, 1315, 562, 11723, 320, 2071, 263, 1015, 9239, 3698, 27353, 6600, 2187, 825, 1820, 19629, 333, 14826, 5517, 3645, 5602, 825, 535, 325, 815, 476, 272, 454, 825, 1820, 6600, 994, 825, 585, 535, 538, 2039, 263, 272, 267, 535, 266, 272, 2187, 1038, 535, 325, 2608, 284, 535, 454, 1038, 1948, 2745, 6600, 994, 825, 1820, 19629, 333, 2580, 535, 325, 2020, 2399, 3645, 263, 7367, 2020, 6358, 4590, 0, 258, 5785, 14343, 9339, 8894, 258, 18838, 676, 281, 7812, 28150, 454, 258, 11261, 281, 567, 476, 279, 270, 1704, 270, 1704, 454, 258, 12143, 281, 476, 5741, 476, 273, 910, 12384, 454, 258, 13517, 281, 567, 8571, 513, 4009, 543, 6445, 621, 609, 1250, 3750, 2681, 563, 258, 5785, 14343, 15365, 5228, 14854, 1104, 27661, 1233, 815, 24897, 3890, 1948, 1711, 513, 5496, 6885, 454, 332, 19376, 815, 25725, 3890, 1948, 1711, 513, 14854, 3957, 544, 19376, 454, 321, 3497, 815, 1496, 271, 269, 279, 267, 476, 271, 269, 275, 267, 476, 271, 269, 271, 2639, 332, 19376, 269, 8218, 6958, 650, 4590, 332, 19376, 269, 3453, 263, 4968, 994, 332, 19376, 16000, 263, 3445, 994, 332, 19376, 269, 3453, 263, 4968, 994, 332, 19376, 16000, 263, 3445, 994, 332, 19376, 269, 3453, 263, 4968, 994, 332, 19376, 16000, 263, 3445, 994, 332, 19376, 269, 3453, 263, 4968, 994, 332, 19376, 8807, 650, 10233, 6357, 3497, 994, 332, 19376, 269, 754, 6958, 650, 4590, 1233, 20216, 527, 517, 28781, 3890, 1948, 2673, 519, 5496, 6885, 543, 1863, 12449, 3965, 0, 258, 476, 5785, 14343, 9339, 8894, 258, 8745, 281, 7812, 28150, 454, 258, 11261, 281, 567, 476, 280, 270, 1321, 270, 1704, 454, 258, 12143, 281, 476, 5741, 476, 276, 910, 14594, 6103, 454, 258, 13517, 281, 567, 21414, 513, 25948, 3446, 9411, 676, 519, 3593, 543, 4159, 454, 258, 13376, 519, 2953, 4484, 3446, 3330, 513, 5048, 7901, 563, 258, 476, 5785, 14343, 9339, 8894, 5228, 14764, 8548, 20687, 7901, 1104, 27661, 514, 20777, 815, 476, 271, 692, 12072, 318, 14079, 815, 834, 7312, 4484, 3446, 568, 281, 834, 692, 6112, 23380, 2652, 476, 271, 912, 825, 23380, 815, 476, 271, 454, 825, 3446, 815, 10581, 9272, 2891, 1432, 568, 707, 3446, 8119, 4917, 825, 952, 3446, 2999, 476, 271, 912, 1038, 1820, 2891, 6546, 568, 711, 513, 4570, 3446, 32405, 1038, 23380, 815, 476, 271, 454, 825, 3116, 912, 1038, 23380, 815, 476, 272, 454, 1038, 2736, 454, 604, 3446, 13843, 476, 3445, 912, 825, 952, 3446, 3436, 476, 1911, 912, 1038, 4484, 318, 14079, 6834, 834, 288, 266, 4840, 825, 3116, 912, 1038, 4484, 318, 14079, 6834, 834, 288, 4840, 19197, 3446, 2999, 476, 3445, 543, 3446, 13843, 476, 3199, 912, 825, 4484, 318, 14079, 6834, 834, 289, 4840, 19197, 3446, 2999, 476, 3199, 543, 3446, 13843, 476, 3583, 912, 825, 4484, 318, 14079, 6834, 834, 290, 4840, 19197, 3446, 2999, 476, 3583, 543, 3446, 13843, 476, 2568, 912, 825, 4484, 318, 14079, 6834, 834, 291, 4840, 12828, 912, 825, 4484, 318, 14079, 6834, 834, 293, 5016, 332, 20687, 7901, 20481, 16769, 2891, 4131, 614, 6103, 28088, 2580, 4484, 318, 14079, 994, 0, 12248, 815, 703, 9272, 2891, 11767, 513, 2318, 1297, 27363, 1721, 1775, 538, 2039, 263, 630, 8987, 272, 2608, 1293, 4297, 1341, 272, 1070, 1293, 267, 476, 273, 2187, 476, 1820, 9217, 264, 0, 5228, 28184, 5793, 1104, 5048, 7901, 454, 5814, 28184, 5793, 4732, 574, 9482, 658, 690, 454, 5814, 28184, 5793, 454, 16059, 815, 834, 4840, 523, 13892, 272, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 4840, 523, 13892, 273, 815, 834, 6195, 291, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 288, 4840, 1372, 13892, 272, 815, 31391, 272, 454, 1372, 13892, 273, 815, 31391, 273, 454, 577, 4069, 815, 6936, 454, 339, 868, 815, 15234, 7531, 3698, 31391, 10031, 825, 2518, 3977, 454, 825, 585, 1775, 538, 2039, 12759, 6025, 868, 15892, 1038, 585, 1535, 538, 2039, 12759, 263, 523, 13892, 272, 15892, 2018, 952, 512, 868, 314, 271, 1341, 1775, 316, 2652, 31391, 272, 20572, 910, 476, 272, 14158, 3546, 3977, 6834, 31391, 273, 20572, 910, 476, 272, 2639, 825, 5048, 7901, 20481, 16769, 2891, 763, 3977, 2580, 3977, 994, 825, 3758, 815, 1930, 2891, 16780, 10757, 17902, 14824, 342, 5602, 825, 3758, 22182, 263, 16059, 994, 825, 3758, 25379, 4590, 825, 1439, 10797, 3698, 1232, 1712, 10031, 825, 2518, 3977, 454, 825, 585, 1775, 538, 2039, 12759, 6025, 868, 15892, 1038, 585, 1535, 538, 2039, 12759, 263, 523, 13892, 272, 15892, 2018, 952, 512, 868, 314, 271, 1341, 1775, 316, 2652, 1232, 1712, 272, 20572, 910, 476, 272, 14158, 3546, 3977, 6834, 1232, 1712, 273, 20572, 910, 476, 272, 2639, 825, 5048, 7901, 20481, 16769, 2891, 763, 3977, 2580, 3977, 994, 825, 3758, 815, 1930, 2891, 20657, 10757, 17902, 2580, 834, 342, 5602, 825, 3758 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6003, 815, 1412, 288, 262, 1477, 825, 3116, 6769, 1038, 6003, 815, 1412, 289, 262, 1477, 825, 1820, 2891, 335, 9438, 539, 3977, 6003, 910, 14307, 3977, 267, 834, 281, 4147, 22443, 910, 14307, 6003, 3418, 825, 2132, 3977, 267, 6003, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 24541, 825, 1565, 31948, 815, 476, 272, 1477, 825, 2866, 10574, 815, 1496, 15947, 825, 1948, 589, 6003, 2592, 1477, 825, 2866, 3412, 326, 272, 815, 5286, 15126, 8443, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 29573, 825, 2866, 3412, 326, 273, 815, 5286, 15126, 8443, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 29573, 825, 2866, 3412, 326, 274, 815, 5286, 15126, 8443, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 29573, 825, 2866, 3412, 326, 275, 815, 5286, 15126, 8443, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 29573, 825, 2866, 3412, 326, 276, 815, 5286, 15126, 8443, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 29573, 24541, 825, 1948, 645, 6003, 2592, 1477, 825, 2866, 3412, 326, 277, 815, 5286, 15126, 8443, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 29573, 825, 2866, 3412, 326, 278, 815, 5286, 15126, 8443, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 29573, 825, 2866, 3412, 326, 279, 815, 5286, 15126, 8443, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 272, 29573, 825, 2866, 3412, 326, 280, 815, 5286, 15126, 8443, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 29573, 825, 2866, 3412, 326, 1015, 815, 5286, 15126, 8443, 272, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 29573, 24541, 825, 4890, 9078, 8475, 815, 5286, 15126, 8443, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 29573, 24541, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 272, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 273, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 274, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 275, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 276, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 277, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 278, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 279, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 280, 3418, 825, 2866, 10574, 6910, 6025, 20995, 3412, 326, 1015, 3418, 24541, 825, 1948, 1449, 1239, 6769, 825, 1449, 10574, 272, 815, 5286, 15126, 8443, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 29573, 825, 1449, 10574, 273, 815, 5286, 15126, 8443, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 29573, 825, 1449, 10574, 274, 815, 5286, 15126, 8443, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 29573, 825, 1449, 10574, 275, 815, 5286, 15126, 8443, 272, 267, 271, 267, 271, 267, 271, 267, 272, 267, 272, 267, 271, 267, 271, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 271, 29573, 825, 1449, 10574, 276, 815, 5286, 15126, 8443, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 267, 271, 267, 272, 267, 271, 267, 271, 267, 272, 267, 271, 267, 272, 267, 272, 267, 272, 267, 272, 267, 272, 29573, 825, 12035, 815, 5352, 26574, 30467, 14052, 825, 585, 1775, 538, 2039, 263, 1911, 271, 8029, 1038, 1948, 4584, 513, 4351, 3732, 23228, 1038, 4994, 815, 678, 526, 27110, 263, 271, 267, 280, 3418, 1038, 2866, 3412, 326, 815, 2866, 10574, 27709, 15947, 1038, 2866, 3412, 326, 815, 5286, 269, 31412, 6025, 20995, 3412, 326, 267, 630, 272, 267, 1839, 17903, 1038, 4890, 20479, 815, 4890, 9078, 8475, 27709, 15947, 1038, 3977, 815, 4464, 6025, 20995, 3412, 326, 267, 12035, 3418, 1038, 3017, 815, 3977, 910, 4890, 20479, 1477, 1038, 12035, 815, 12035, 910, 1565, 31948, 2608, 3017, 2608, 5286, 6745, 4920, 2821, 6025, 20995, 3412, 326, 3418, 825, 1449, 6025, 20995, 3412, 326, 272, 267, 12035, 267, 1412, 288, 20298, 825, 1449, 6025, 20995, 3412, 326, 273, 267, 12035, 267, 1412, 288, 20298, 825, 1449, 6025, 20995, 3412, 326, 274, 267, 12035, 267, 1412, 288, 20298, 825, 1449, 6025, 20995, 3412, 326, 275, 267, 12035, 267, 1412, 288, 20298, 825, 1449, 6025, 20995, 3412, 326, 276, 267, 12035, 267, 1412, 288, 20298, 24541, 825, 1449, 6025, 20995, 3412, 326, 277, 267, 12035, 267, 1412, 289, 20298, 825, 1449, 6025, 20995, 3412, 326, 278, 267, 12035, 267, 1412, 289, 20298, 825, 1449, 6025, 20995, 3412, 326, 279, 267, 12035, 267, 1412, 289, 20298, 825, 1449, 6025, 20995, 3412, 326, 280, 267, 12035, 267, 1412, 289, 20298, 825, 1449, 6025, 20995, 3412, 326, 1015, 267, 12035, 267, 1412, 289, 20298, 24541, 825, 1449, 6025, 652, 10574, 272, 267, 12035, 267, 15234, 3418, 825, 1449, 6025, 652, 10574, 273, 267, 12035, 267, 15234, 3418, 825, 1449, 6025, 652, 10574, 274, 267, 12035, 267, 15234, 3418, 825, 1449, 6025, 652, 10574, 275, 267, 12035, 267, 15234, 3418, 825, 1449, 6025, 652, 10574, 276, 267, 12035, 267, 15234, 3418, 0, 258, 276, 269, 279, 28982, 1520, 2381, 1477, 2745, 19629, 333, 476, 276, 269, 279, 28982, 1520, 2381, 1383, 2411, 9339, 268, 14744, 12528, 5332, 1868, 284, 18358, 12528, 3299, 1412, 611, 2381, 3299, 1412, 321, 1601, 12887, 2006, 4526, 12887, 655, 1943, 2465, 12887, 26782, 11172, 24653, 1721, 1535, 538, 3593, 5332, 1868, 6769, 825, 952, 1535, 568, 1412, 611, 2381, 262, 6769, 1038, 1820, 6600, 257, 15916, 2715, 343, 9574, 1131, 596, 899, 547, 1294, 513, 4567, 1867, 8119, 3418, 825, 3116, 6769, 1038, 1820, 6600, 257, 15916, 2715, 343, 9574, 11289, 596, 585, 19883, 538, 1586, 1701, 3418, 5897, 258, 276, 269, 280, 3143, 20305, 1477, 2745, 19629, 333, 476, 276, 268, 280, 3143, 20305, 1383, 5785, 9339, 14744, 12528, 5332, 1868, 284, 32582, 5897, 604, 3593, 5332, 1868, 6769, 825, 585, 1535, 538, 3593, 5332, 1868, 6769, 1038, 952, 1535, 568, 1412, 3849, 2381, 262, 6769, 2018, 1820, 6600, 257, 15916, 2715, 343, 9574, 8080, 10590, 3418, 1038, 3116, 6769, 2018, 1820, 6600, 257, 346, 343, 348, 4208, 616, 596, 19883, 538, 8119, 3418, 12828, 6769, 825, 1820, 2891, 1607, 1592, 568, 8900, 10590, 10142, 258, 276, 269, 1015, 6744, 532, 2974, 1716, 1868, 1477, 2745, 19629, 333, 276, 268, 1015, 6744, 532, 2974, 1716, 1868, 1383, 5785, 734, 14744, 9690, 318, 22852, 815, 18358, 297, 32602, 12887, 329, 517, 5500, 12887, 297, 657, 6255, 571, 2346, 12887, 335, 527, 629, 792, 3299, 1412, 332, 2292, 2006, 288, 297, 11172, 1477, 2908, 318, 22852, 815, 18358, 337, 644, 11770, 329, 12887, 339, 752, 14241, 12887, 329, 2006, 12887, 16967, 846, 12887, 329, 657, 6255, 571, 2346, 11172, 1477, 30501, 17342, 15947, 1721, 1535, 538, 1699, 318, 22852, 6769, 825, 24140, 6910, 3287, 31573, 3890, 3418, 825, 24140, 6910, 3287, 269, 21639, 3890, 3418, 825, 24140, 6910, 3287, 26644, 3890, 3418, 28744, 6262, 340, 10142, 1721, 1535, 538, 1007, 318, 22852, 6769, 825, 952, 1535, 538, 24140, 6769, 1038, 1820, 6600, 10454, 2974, 20713, 2715, 343, 348, 568, 28998, 14744, 825, 3116, 6769, 1038, 1820, 6600, 257, 17812, 337, 1846, 256, 2715, 343, 348, 568, 606, 2139, 27024, 10590, 3418, 5897, 258, 476, 276, 269, 1556, 18103, 1400, 10606, 1477, 2745, 19629, 333, 302, 6113, 1400, 10606, 7151, 10900, 955, 14744, 11133, 1499, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 316, 5897, 1721, 1535, 538, 2338, 6769, 825, 952, 1535, 568, 476, 272, 6769, 1038, 1820, 6600, 257, 315, 333, 12757, 348, 560, 14744, 825, 8640, 1535, 568, 476, 273, 6769, 1038, 1820, 6600, 257, 315, 333, 12757, 348, 526, 14744, 825, 8640, 1535, 568, 476, 274, 6769, 1038, 1820, 6600, 257, 315, 333, 12757, 348, 6113, 14744, 825, 3116, 6769, 1038, 1820, 6600, 257, 315, 333, 12757, 348, 628, 257, 10142, 0, 258, 476, 275, 269, 1015, 6657, 1210, 21100, 1477, 333, 10179, 657, 815, 14277, 684, 334, 14824, 323, 657, 14824, 339, 637, 14824, 30501, 520, 549, 2580, 834, 11142, 1723, 14824, 338, 625, 14824, 338, 2884, 324, 14824, 5255, 334, 14824, 333, 826, 557, 14824, 23135, 345, 14824, 517, 576, 14824, 4777, 576, 257, 15947, 2745, 6600, 257, 2080, 616, 519, 1101, 476, 275, 3688, 540, 1250, 1592, 2715, 333, 10179, 657, 314, 271, 281, 275, 316, 348, 14744, 2745, 6600, 262, 2080, 616, 519, 476, 275, 3688, 540, 1250, 1592, 1336, 538, 519, 1647, 2715, 333, 10179, 657, 314, 275, 281, 279, 316, 348, 20298, 2745, 6600, 257, 2080, 616, 519, 3803, 2185, 3688, 1336, 593, 1250, 1592, 2715, 333, 10179, 657, 314, 279, 281, 316, 348, 257, 10142, 258, 275, 269, 1556, 6657, 25718, 513, 1592, 1477, 2745, 19629, 333, 14744, 3240, 5334, 7964, 284, 22373, 321, 21488, 4252, 14824, 19668, 4252, 14824, 20584, 4252, 14824, 308, 15598, 257, 15947, 325, 12188, 5334, 7964, 284, 1250, 5334, 7964, 11468, 15947, 2745, 6600, 257, 7069, 5172, 5026, 547, 4585, 616, 2715, 3240, 5334, 7964, 348, 14744, 2745, 6600 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 942, 267, 16190, 32245, 513, 16434, 11556, 547, 519, 7005, 269, 5131, 1557, 281, 513, 16434, 11556, 568, 513, 30237, 673, 1557, 2854, 676, 795, 517, 11936, 16190, 538, 1931, 547, 2061, 519, 1453, 540, 4057, 1004, 538, 476, 790, 1633, 267, 689, 1373, 513, 11411, 269, 1160, 27760, 855, 621, 781, 711, 519, 1292, 6161, 540, 713, 5098, 713, 5098, 5631, 6212, 593, 795, 517, 11936, 16190, 781, 513, 16434, 11556, 630, 15094, 280, 264, 713, 5098, 563, 288, 16434, 11556, 568, 513, 30237, 673, 30732, 2280, 602, 12116, 519, 10182, 540, 519, 3638, 2509, 519, 4057, 5182, 1324, 1453, 538, 741, 2486, 795, 517, 11936, 16190, 3096, 513, 1297, 1547, 22189, 16190, 781, 30237, 673, 1557, 689, 476, 15094, 280, 267, 1141, 646, 5267, 602, 519, 3352, 880, 3548, 741, 1378, 1453, 269, 0, 9213, 267, 972, 568, 1100, 2460, 540, 1272, 538, 519, 8087, 2829, 602, 814, 711, 1044, 20109, 676, 519, 19052, 7819, 1995, 972, 568, 1100, 9872, 267, 2688, 267, 610, 3232, 2259, 602, 814, 711, 1044, 6766, 610, 1121, 1228, 676, 519, 3646, 540, 19052, 7819, 17024, 267, 4600, 267, 5159, 267, 15628, 267, 543, 25696, 269, 4985, 16646, 267, 835, 540, 519, 1034, 24360, 543, 11786, 21971, 538, 7819, 1686, 267, 3459, 1282, 519, 3540, 2112, 543, 8694, 538, 476, 6942, 278, 269, 661, 2006, 322, 11692, 689, 8474, 538, 476, 5908, 274, 15054, 10058, 3909, 2591, 585, 19052, 22988, 538, 519, 5045, 950, 519, 3540, 2112, 6368, 4547, 5191, 547, 5892, 20665, 9082, 267, 519, 4305, 540, 12180, 3909, 2950, 729, 1152, 835, 3693, 540, 519, 3677, 991, 547, 1711, 1007, 2729, 734, 1729, 22653, 924, 3885, 267, 547, 1265, 6009, 267, 543, 547, 4137, 856, 1018, 621, 1131, 1611, 547, 2661, 538, 519, 8087, 2829, 607, 269, 5269, 513, 6846, 281, 19052, 7819, 2575, 1354, 519, 3540, 2112, 7291, 835, 538, 3670, 22988, 540, 19052, 16350, 519, 7187, 8087, 2829, 269, 21126, 593, 19052, 7819, 1686, 538, 519, 8087, 2829, 1141, 19052, 22988, 609, 1100, 7298, 19052, 22693, 1780, 883, 519, 524, 14072, 22057, 5198, 610, 563, 28893, 268, 15330, 15092, 941, 9601, 540, 561, 2106, 4221, 543, 627, 2089, 902, 538, 519, 5045, 543, 824, 2694, 540, 519, 8087, 2829, 607, 1134, 538, 9456, 21570, 267, 4351, 5208, 9859, 693, 9925, 338, 267, 1572, 533, 690, 668, 338, 267, 8507, 538, 519, 32003, 540, 5215, 269, 4563, 1686, 3923, 26549, 519, 7418, 540, 19052, 22988, 547, 721, 1686, 1705, 596, 917, 602, 14834, 600, 524, 329, 3802, 518, 729, 13314, 781, 1101, 4807, 547, 1831, 513, 1582, 13402, 2929, 18311, 267, 610, 602, 24636, 269, 6258, 827, 519, 1686, 543, 1646, 540, 2384, 532, 543, 1876, 11268, 538, 519, 8087, 2829, 9859, 693, 11082, 543, 19052, 22988, 676, 3043, 31655, 269, 10699, 753, 723, 1185, 513, 1279, 1686, 540, 4955, 7992, 547, 519, 8087, 2829, 267, 1419, 585, 2797, 4128, 1063, 7750, 534, 22988, 543, 19052, 22988, 538, 32550, 5866, 563, 288, 5618, 1686, 540, 10168, 538, 519, 8087, 2829, 7663, 3570, 521, 1342, 1172, 328, 10168, 568, 519, 3661, 602, 835, 781, 5198, 267, 2960, 2681, 267, 610, 811, 3622, 267, 835, 781, 1895, 267, 581, 621, 540, 269, 7111, 7819, 1686, 281, 8129, 540, 2038, 1004, 538, 519, 5643, 545, 553, 1686, 476, 9818, 281, 721, 1686, 1775, 814, 1044, 11117, 543, 5227, 585, 476, 274, 19496, 3108, 543, 949, 581, 11843, 547, 936, 476, 273, 267, 1822, 12621, 269, 769, 476, 1220, 279, 267, 3046, 871, 1073, 4821, 2968, 519, 1101, 19052, 268, 26410, 547, 581, 11221, 7022, 540, 519, 8087, 2829, 5399, 540, 18322, 2200, 519, 5399, 540, 18322, 814, 16432, 513, 1592, 540, 8978, 2621, 585, 1142, 1554, 540, 519, 1032, 267, 11331, 713, 1554, 538, 1686, 269, 10801, 19052, 268, 26410, 1686, 1686, 540, 10553, 31356, 538, 519, 4070, 540, 519, 8087, 2829, 3109, 22988, 538, 18322, 281, 606, 4367, 269, 2201, 562, 4912, 476, 275, 267, 3046, 871, 1073, 4821, 267, 3587, 519, 1101, 19052, 7819, 547, 581, 11221, 7022, 540, 519, 8087, 2829, 267, 9396, 908, 14081, 534, 11134, 267, 6845, 14646, 544, 764, 664, 476, 1220, 280, 3046, 871, 1073, 4821, 24339, 520, 689, 669, 8522, 267, 3587, 519, 1101, 19052, 268, 26410, 7022, 543, 519, 2197, 781, 476, 4510, 628, 7022, 563, 310, 2674, 626, 3909, 5640, 1616, 547, 796, 24160, 519, 6456, 9739, 538, 1686, 267, 27403, 267, 543, 519, 2833, 540, 4207, 12790, 19052, 7819, 2021, 547, 3605, 15998, 602, 666, 1711, 513, 2239, 585, 519, 1459, 543, 2104, 269, 3979, 268, 26410, 4955, 5928, 1765, 18485, 7142, 543, 17319, 1765, 1150, 591, 4957, 519, 1576, 540, 7819, 1686, 1246, 10092, 689, 519, 6037, 520, 23007, 10553, 4123, 547, 519, 1007, 1390, 9194, 269, 3979, 7819, 1686, 476, 273, 5098, 543, 4367, 607, 513, 4182, 1141, 938, 15713, 18971, 945, 1031, 519, 10839, 267, 782, 2367, 616, 2813, 3160, 2306, 835, 1589, 16764, 568, 2813, 8449, 267, 7488, 540, 741, 5198, 267, 4282, 267, 543, 2528, 269, 4985, 281, 607, 3506, 556, 13449, 713, 2887, 267, 1775, 2219, 621, 1131, 581, 4277, 547, 2322, 1927, 513, 5618, 1686, 540, 2069, 538, 519, 8087, 2829, 835, 3364, 602, 6763, 856, 547, 803, 568, 602, 2069, 568, 269, 4985, 519, 18517, 540, 19052, 22988, 543, 741, 7418, 547, 938, 2486, 723, 630, 320, 5618, 1686, 540, 14664, 4031, 540, 519, 8087, 2829, 264, 519, 1101, 563, 28893, 7819, 2090, 513, 1686, 540, 519, 7819, 3210, 547, 991, 543, 3906, 1271, 538, 519, 1646, 540, 1514, 10304, 538, 519, 8087, 2829, 269, 1280, 519, 1101, 942, 538, 519, 4182, 781, 1686, 606, 19052, 7819, 267, 3046, 871, 1073, 4821, 267, 729, 11221, 7022, 540, 519, 8087, 2829, 538, 476, 1220, 279, 646, 729, 556, 19491, 539, 585, 513, 2034, 2165, 538, 476, 1001, 273, 8441, 538, 519, 2250, 4627, 1296, 723, 3964, 13314, 607, 513, 1158, 6205, 17215, 267, 17740, 3320, 267, 543, 1099, 10999, 269, 4256, 1686, 540, 7142, 11776, 547, 519, 8087, 2829, 568, 2189, 1851, 721, 18441, 543, 267, 3379, 547, 10437, 11992, 267, 19052, 22988, 941, 19918, 632, 2275, 738, 3293, 543, 632, 16058, 1242, 267, 741, 3765, 2044, 5701, 607, 1412, 11499, 262, 543, 22480, 269, 3979, 22988, 543, 8474, 538, 519, 8087, 2829, 476, 1911, 19052, 7819, 1686, 4367, 1775, 723, 19632, 538, 713, 8261, 14292, 11226, 799, 786, 269, 3979, 268, 26410, 1686, 568, 519, 851, 540, 7819, 1686, 602, 5654, 693, 519, 19052, 268, 15330, 15092, 610, 3109, 22988, 538, 519, 8087, 2829, 4352, 5892, 12790, 267, 19052, 268, 26410, 1686, 814, 6591, 2666, 538, 1153, 543, 6280, 21195, 543, 6591, 9962, 14046, 3007, 2094, 519, 3735, 476, 736, 628, 2540, 563, 7628, 519, 2185, 5756, 1739, 8574, 540, 519, 13359, 2924, 957, 267, 1896, 19052, 22988, 9307, 741, 6596, 9313, 543, 5859, 539, 585, 519, 11180, 5428, 781, 9930, 1588, 267, 7551, 605, 8010, 532, 519, 7872, 267, 519, 9153, 267, 602, 835, 1554, 513, 4759, 540, 741, 5198, 1131, 1831, 7022, 540, 519, 8087, 2829, 269, 9861, 19052, 7819, 1299, 561, 326, 23336, 336, 281, 606, 4367, 4867, 2713, 538, 519, 8087, 2829, 267, 609, 5111, 476, 4391, 2600, 540, 782, 19052, 7819, 1004, 7114, 269, 631, 15097, 781, 2038, 1686, 538, 519, 8087, 2829, 2943, 1018, 18290, 781, 1747, 729, 1354, 519, 476, 4350, 271, 338, 543, 1018, 891, 1079, 2516, 1185, 547, 798, 609, 922, 7819, 1686, 616, 7168, 9597, 5652, 519, 4367, 563, 28893, 22988, 723, 693, 1585, 2053, 538, 8087, 2829, 1686, 1044, 5219, 547, 607, 19052, 267, 11954, 267, 2258, 549, 267, 7192, 549, 268, 26410, 267, 543, 3109, 267, 607, 1134, 607, 19052, 7819, 4010, 1018, 6712, 540, 519, 19052, 7819, 2551, 568, 540, 9003, 19052, 22693, 568, 711, 1634, 936, 519, 2250, 476, 4968, 543, 811, 1296, 538, 269, 21145, 281, 2621, 910, 8087, 2829, 267, 535, 1042, 15104, 630, 30113, 264, 6443, 721, 547, 5873, 32275, 30602, 1883, 267, 7022, 540, 519, 19052, 7819, 4199, 2686, 6561, 630, 320, 1105, 264, 2486, 540, 535, 1042, 15104, 267, 2671, 930, 540, 519, 1686, 540, 19052, 22988, 538, 535, 1042, 15104, 10315, 269, 634, 1034, 22266, 9872, 538, 7819, 1686, 267, 8474, 11478, 538, 519, 8087, 2829, 689, 519, 2038, 476, 1704, 628, 2540, 2394, 476, 5908, 276, 267, 950, 18322, 21892, 519, 19412, 18818, 17203, 16172, 1310, 519, 9769, 11802, 936, 519, 1476, 25005, 2329, 538, 519, 3540, 2112, 676, 602, 1448, 267, 811, 982, 476, 275, 2929, 19052, 268, 26410, 10437, 5030, 538, 519, 8087, 2829, 269, 0, 5970, 596, 4862, 519, 4082, 3351, 9107, 543, 9289, 1018, 568, 3351, 23540, 538, 519, 1870, 1158, 2816, 6609, 568, 1934, 547, 12172, 3388, 269, 7780, 4106, 31791, 568, 606, 5683, 3069, 602, 2829, 602, 519, 1655, 2962, 568, 519, 835, 602, 12366, 3278, 10626, 10626, 568, 3989, 538, 1585, 2081, 267, 2356, 538, 2474, 540, 519, 1134, 5630, 540, 2366, 1304, 9988, 269, 17593, 3351, 23540, 568, 513, 5837, 3069, 602, 11225, 519, 1318, 2962, 607, 519, 2962, 602, 12366, 2478, 519, 2698, 1134, 13001, 7424, 621, 568, 835, 540, 519, 8789, 5837, 6436, 267, 543, 621, 814, 513, 1713, 3310, 538, 6915, 25677, 9840, 269, 7780, 4106, 31791, 568, 711, 1768, 1026, 569, 7294, 621, 1152, 814, 1079, 2596, 3334, 513, 972, 568, 930, 2186, 540, 10626, 602, 568, 11371, 1231, 1227, 26656, 1247, 1034, 1004, 1810, 1405, 2697, 607, 1373, 17033, 3351, 9107, 267, 789, 946, 513, 3575, 540, 2093, 689, 3351, 23540, 543, 824, 5683, 24866, 538, 741, 4948, 2729, 563, 2171, 16785, 519, 1082, 5683, 2152, 538, 14621, 547, 3782, 602, 949, 8451, 1247, 513, 3461, 568, 538, 519, 1416, 540, 513, 2564, 19995, 519, 3782, 2872, 267, 1657, 1022, 824, 267, 814, 513, 1164, 2543, 585, 519, 2152, 4478, 519, 10304, 540, 741, 7817, 25279, 281, 741, 2550, 269, 3367, 713, 1557, 593, 5683, 2152, 3782, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 4867, 972, 616, 476, 4510, 2929, 7819, 781, 1510, 3782, 6142, 950, 2870, 519, 1035, 320, 7022, 1073, 4821, 1185, 3351, 23540, 538, 2247, 1317, 646, 2322, 8521, 519, 12366, 1436, 269, 15979, 2152, 538, 3782, 519, 11944, 540, 519, 7872, 540, 2564, 552, 30984, 11710, 689, 519, 1775, 798, 711, 3494, 2564, 2152, 1058, 581, 2220, 26359, 676, 3909, 4145, 267, 1498, 1775, 7881, 2152, 538, 3351, 23540, 3069, 267, 13919, 1272, 538, 1931, 547, 1439, 519, 1928, 602, 835, 568, 2469, 998, 814, 2141, 563, 5719, 321, 919, 827, 1072, 1416, 14104, 543, 6963, 267, 1072, 6142, 7939, 267, 519, 3790, 540, 31534, 782, 2232, 2042, 1644, 547, 1569, 547, 1072, 1416, 1510, 513, 8969, 267, 1569, 547, 1072, 1416, 568, 513, 1360, 1271, 2825, 3815, 538, 519, 3892, 540, 1072, 1369, 2486, 267, 855, 621, 568, 2484, 689, 519, 1152, 3815, 269, 901, 3184, 12116, 513, 3351, 9107, 1935, 547, 2733, 5737, 5126, 538, 1072, 1416, 267, 2687, 547, 799, 519, 3804, 540, 513, 1175, 1072, 1416, 1062, 11129, 547, 581, 519, 6574, 1434, 585, 519, 6574, 1297, 621, 15109, 519, 6631, 2329, 540, 4244, 6436, 540, 2733, 5737, 5126, 585, 20547, 2152, 827, 1072, 269, 7780, 4106, 4115, 7881, 538, 3782, 3782, 6990, 616, 3608, 267, 568, 519, 1863, 2344, 1434, 585, 2035, 540, 14619, 8831, 547, 2152, 824, 982, 3892, 531, 5126, 610, 519, 3892, 540, 12587, 3351, 9107, 7881, 538, 3782, 6466, 957, 3351, 23540, 6212, 593, 519, 1514, 10626, 540, 938, 563, 25219, 4106, 31791, 568, 606, 5683, 3069, 602, 11887, 1318, 689, 4636, 676, 2519, 593, 4093, 621, 568, 513, 1106, 540, 3702, 1113, 1143, 3351, 23540, 849, 814, 8373, 8051, 585, 2418, 971, 607, 5126, 543, 1367, 2924, 585, 1383, 267, 8263, 513, 6413, 814, 2185, 1004, 4171, 2729, 4096, 2390, 8391, 269, 10819, 609, 3351, 23540, 1247, 3351, 23540, 568, 4867, 513, 1360, 2442, 5683, 3069, 267, 972, 616, 930, 7965, 538, 13461, 593, 621, 607, 513, 6852, 1505, 585, 5837, 3375, 6194, 1101, 267, 519, 3351, 9107, 9819, 3340, 602, 649, 3651, 2418, 547, 519, 2640, 543, 28746, 4611, 689, 938, 3527, 543, 5635, 873, 609, 519, 2640, 543, 28746, 269, 901, 3184, 14592, 4295, 4162, 540, 3351, 23540, 543, 7710, 873, 609, 2543, 547, 741, 4644, 538, 3782, 5468, 621, 6941, 519, 7811, 24598, 25751, 540, 1142, 540, 891, 4162, 267, 1247, 20515, 873, 609, 2543, 547, 2152 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1015, 544, 692, 263, 2252, 596, 946, 575, 815, 476, 280, 269, 279, 544, 4882, 273, 634, 4267, 786, 581, 5594, 1114, 2020, 2971, 769, 5765, 3406, 2474, 1384, 1892, 1772, 10845, 2168, 7274, 454, 1892, 10252, 14670, 923, 8429, 2243, 454, 1892, 513, 4224, 568, 16207, 909, 609, 3432, 540, 476, 1428, 454, 1892, 844, 525, 540, 10252, 14670, 923, 454, 1892, 6323, 1966, 540, 519, 1554, 454, 1892, 6323, 630, 6343, 568, 5726, 540, 11610, 286, 994, 1892, 5021, 4463, 540, 513, 4224, 16207, 454, 1892, 3845, 593, 6475, 1813, 547, 8904, 454, 1892, 589, 4224, 568, 16207, 19794, 16057, 689, 519, 2666, 609, 606, 3355, 3432, 454, 1892, 4224, 16207, 19794, 6323, 3830, 0, 1012, 26344, 5852, 630, 1015, 628, 9990, 2020, 13775, 676, 21942, 692, 258, 3848, 476, 272, 910, 26344, 6248, 12793, 910, 8791, 476, 272, 269, 272, 27449, 910, 476, 272, 269, 272, 20113, 281, 476, 15389, 692, 275, 7643, 692, 2971, 4518, 5153, 676, 5153, 692, 272, 269, 634, 23319, 1934, 568, 547, 4137, 856, 602, 16263, 568, 2469, 547, 723, 519, 1482, 2557, 540, 10047, 607, 519, 3618, 602, 568, 3274, 1269, 11740, 17353, 15132, 348, 270, 2190, 327, 2293, 259, 476, 273, 269, 5213, 1405, 1205, 11821, 676, 3764, 540, 519, 942, 543, 519, 3764, 540, 513, 4110, 269, 1284, 616, 2469, 547, 6460, 5232, 547, 3764, 630, 10807, 4399, 2765, 346, 11740, 17353, 15132, 12453, 2190, 15590, 4153, 9392, 21702, 346, 7597, 262, 2410, 272, 17353, 15132, 3686, 284, 21327, 876, 262, 270, 2190, 15590, 259, 476, 274, 269, 2913, 781, 2569, 519, 1297, 4399, 2765, 346, 21327, 876, 262, 2410, 2190, 327, 18098, 2765, 346, 12010, 262, 2410, 272, 15590, 4151, 476, 275, 269, 1284, 991, 547, 1205, 1524, 547, 835, 8792, 540, 513, 4110, 267, 865, 1577, 781, 1376, 7311, 6643, 2188, 543, 4227, 4399, 2765, 346, 12010, 262, 2410, 272, 15590, 4153, 9392, 1422, 2765, 346, 272, 15590, 2410, 2568, 2381, 4151, 284, 476, 1428, 262, 270, 2381, 476, 276, 269, 7053, 267, 875, 1454, 1281, 621, 1491, 547, 979, 998, 835, 8792, 540, 10047, 4399, 2765, 346, 1428, 262, 2410, 2568, 5913, 348, 31386, 2765, 346, 272, 262, 2410, 275, 5913, 10592, 5475, 596, 3409, 606, 2626, 596, 3580, 723, 476, 2190, 3108, 547, 6494, 538, 513, 8908, 269, 1323, 9375, 786, 2689, 519, 19169, 543, 2901, 15476, 707, 19169, 610, 1683, 1109, 12890, 3724, 269, 0, 16158, 11778, 692, 516, 14142, 2006, 13519, 338, 2593, 270, 1862, 270, 1432, 6874, 6851, 9539, 13246, 5336, 738, 17586, 268, 2414, 268, 2767, 11258, 692, 1432, 1079, 2338, 9062, 547, 476, 2767, 286, 1548, 476, 273, 2338, 798, 596, 9062, 547, 1205, 476, 2767, 286, 769, 824, 1913, 267, 1018, 1297, 666, 596, 9062, 609, 1776, 1297, 547, 1205, 476, 2767, 286, 634, 4542, 547, 4194, 713, 1131, 581, 281, 2473, 1535, 962, 815, 476, 2767, 1703, 616, 693, 2547, 1079, 10659, 540, 1079, 2338, 602, 596, 666, 9062, 1927, 547, 1205, 476, 2767, 780, 763, 1455, 23385, 540, 476, 1240, 543, 476, 2767, 616, 476, 7918, 267, 476, 10482, 267, 476, 14341, 267, 476, 21327, 267, 543, 865, 593, 9950, 778, 568, 513, 2789, 540, 476, 7918, 267, 799, 568, 519, 2547, 1455, 2789, 540, 476, 1240, 663, 476, 2767, 269, 1703, 568, 606, 12808, 1297, 540, 1455, 23385, 585, 476, 1240, 27250, 314, 306, 9407, 316, 1548, 616, 519, 23385, 540, 476, 2767, 286, 634, 23385, 616, 27250, 516, 14142, 2006, 13519, 338, 2593, 270, 1862, 270, 1432, 5025, 516, 268, 763, 5336, 738, 328, 1255, 268, 8170, 268, 2767, 11258, 692, 25648, 1255, 540, 476, 2767, 616, 2338, 602, 666, 581, 5258, 676, 476, 2767, 1510, 513, 14230, 269, 7490, 979, 547, 938, 23385, 1413, 1575, 2985, 952, 596, 941, 3168, 585, 513, 1114, 1297, 269, 898, 568, 7543, 547, 1592, 782, 23385, 540, 476, 2767, 267, 2094, 972, 616, 606, 12808, 1297, 540, 23385, 540, 476, 2767, 780, 12179, 1297, 910, 8870, 267, 7787, 267, 3352, 571, 1049, 267, 1950, 910, 666, 9062, 476, 2767, 269, 3619, 269, 2257, 2979, 1686, 3332, 2029, 1072, 1876, 1870, 2353, 590, 30708, 269, 12226, 2593, 2485, 362, 27250, 4178, 269, 10915, 2397, 2593, 270, 4118, 8276, 738, 328, 1255, 268, 1704, 268, 278, 26501, 271, 320, 275, 321, 12893, 31696, 279, 1704, 692, 1432, 3657, 519, 11638, 1255, 540, 476, 1704, 286, 11638, 1255, 540, 476, 1704, 616, 2338, 676, 799, 476, 1704, 666, 581, 4010, 5258, 267, 971, 607, 476, 4097, 610, 476, 7906, 269, 589, 2789, 540, 476, 1704, 568, 1022, 1297, 602, 568, 513, 1587, 540, 476, 1704, 543, 606, 8870, 269, 5221, 476, 1704, 568, 513, 1804, 6305, 1297, 267, 621, 666, 581, 2352, 547, 5431, 3270, 1851, 519, 23385, 269, 1879, 14921, 476, 1704, 267, 1053, 1058, 3314, 602, 1022, 1871, 27250, 28090, 569, 2593, 270, 23896, 270, 276, 4281, 4905, 692, 7617, 1079, 2338, 1039, 909, 547, 31233, 543, 9062, 547, 31233, 286, 666, 596, 948, 803, 609, 782, 540, 891, 286, 476, 272, 269, 9062, 547, 910, 1240, 1039, 547, 910, 1704, 476, 273, 269, 9062, 547, 476, 3607, 1039, 547, 910, 1724, 476, 274, 269, 9062, 547, 910, 2190, 1039, 547, 910, 276, 476, 275, 269, 9062, 547, 910, 1240, 1039, 547, 476, 278, 476, 276, 269, 9062, 547, 910, 3607, 1039, 547, 476, 280, 476, 277, 269, 9062, 547, 476, 2190, 1039, 547, 476, 1015, 476, 278, 269, 9062, 547, 476, 1240, 1039, 547, 910, 280, 476, 279, 269, 9062, 547, 910, 3607, 1039, 547, 910, 1626, 7064, 256, 0, 2710, 3733, 1656, 24493, 591, 614, 8641, 4147, 692, 288, 834, 4517, 24493, 591, 614, 8641, 4147, 257, 1627, 292, 257, 568, 513, 3044, 6310, 2165, 585, 513, 20902, 6024, 4082, 799, 568, 1031, 547, 8207, 11186, 12596, 543, 814, 3435, 799, 616, 2834, 269, 769, 11186, 4147, 6061, 267, 513, 1656, 24493, 591, 614, 8641, 1599, 267, 610, 834, 15153, 257, 568, 1031, 780, 763, 1656, 24493, 591, 614, 8641, 4147, 538, 4147, 1106, 666, 581, 7000, 607, 281, 1627, 263, 1535, 264, 815, 910, 330, 343, 273, 267, 1141, 1627, 263, 1535, 264, 616, 519, 1656, 24493, 591, 614, 8641, 4147, 543, 621, 568, 606, 1271, 2165, 269, 634, 7117, 851, 540, 519, 4147, 568, 519, 1656, 24493, 591, 614, 8641, 5812, 267, 6466, 519, 1535, 851, 568, 519, 1656, 24493, 591, 614, 8641, 1599, 780, 2467, 616, 2185, 1656, 24493, 591, 614, 8641, 3252, 609, 2953, 3070, 281, 918, 275, 267, 918, 278, 267, 918, 274, 267, 543, 700, 275, 269, 1284, 786, 1631, 1413, 693, 891, 1656, 24493, 591, 614, 8641, 3252, 543, 875, 789, 616, 12193, 780, 298, 275, 910, 634, 918, 851, 540, 513, 1656, 24493, 591, 614, 8641, 4147, 568, 519, 1656, 24493, 591, 614, 8641, 1599, 269, 901, 1656, 24493, 591, 614, 8641, 1599, 666, 11338, 581, 2854, 538, 9864, 13980, 971, 607, 281, 630, 343, 273, 910, 586, 273, 19422, 1535, 266, 586, 1040, 1677, 4194, 585, 918, 275, 649, 9062, 621, 676, 519, 1697, 1656, 24493, 591, 614, 8641, 1599, 281, 737, 263, 1535, 264, 815, 1535, 273, 267, 586, 273, 267, 610, 1535, 3917, 780, 298, 278, 910, 634, 918, 278, 1656, 24493, 591, 614, 8641, 4147, 814, 513, 3070, 540, 519, 1826, 281, 1535, 275, 344, 273, 910, 586, 275, 343, 274, 815, 476, 271, 269, 634, 1656, 24493, 591, 614, 8641, 1599, 568, 1287, 2799, 676, 1535, 547, 1205, 281, 1535, 273, 1341, 586, 273, 815, 476, 271, 269, 1284, 1287, 723, 547, 2333, 519, 1656, 24493, 591, 614, 8641, 1599, 609, 737, 547, 1205, 281, 737, 263, 1535, 264, 815, 1535, 273, 543, 586, 273, 780, 298, 274, 910, 634, 1656, 24493, 591, 614, 8641, 1599, 4147, 568, 918, 274, 1341, 918, 273, 815, 476, 271, 269, 1284, 1287, 9062, 676, 737, 585, 918, 274, 780, 298, 274, 263, 512, 264, 910, 634, 1656, 24493, 591, 614, 8641, 1599, 3830, 529, 918, 274, 263, 512, 264, 1341, 918, 273, 263, 512, 1040, 1284, 2333, 676, 737, 585, 918, 274, 263, 512, 1040, 3767, 649, 2333, 676, 519, 1656, 24493, 591, 614, 8641, 1599, 799, 2488, 281, 918, 273, 263, 512, 264, 815, 918, 263, 512, 264, 2053, 737, 780, 763, 1656, 24493, 591, 614, 8641, 1599, 568, 11338, 5219, 547, 607, 834, 298, 275, 257, 1317, 540, 519, 3355, 338, 540, 519, 5022, 918, 543, 476, 275, 269, 918, 1797, 1656, 24493, 591, 614, 8641, 267, 543, 519, 2262, 834, 15153, 257, 568, 14733, 607, 834, 27204, 268, 4599, 6231, 763, 1656, 24493, 591, 614, 8641, 4147, 568, 835, 540, 519, 3119, 4485, 540, 21338, 11186, 12596, 269, 769, 519, 1656, 24493, 591, 614, 8641, 1599, 4147, 267, 519, 1656, 24493, 591, 614, 8641, 1599, 568, 1101, 16611, 676, 519, 1697, 1656, 24493, 591, 614, 8641, 1599, 267, 799, 786, 2709, 519, 1656, 24493, 591, 614, 8641, 1599, 780, 763, 1656, 24493, 591, 614, 8641, 1599, 568, 1287, 5258, 676, 519, 1656, 24493, 591, 614, 8641, 1599, 799, 786, 7941, 519, 1656, 24493, 591, 614, 8641, 1599, 883, 513, 1483, 851, 543, 513, 14070, 851, 269, 901, 2488, 519, 1656, 24493, 591, 614, 8641, 2165, 780, 7661, 267, 519, 1656, 24493, 591, 614, 8641, 2165, 786, 581, 5258, 676, 519, 19362, 543, 519, 14009, 547, 1205, 519, 23479, 269, 1284, 616, 2451, 609, 519, 1318, 11804, 812, 2427, 543, 519, 2165, 834, 336, 6231, 763, 1656, 24493, 591, 614, 8641, 4147, 568, 606, 1271, 6240, 547, 10146, 950, 20547, 513, 11186, 4147, 269, 634, 1656, 24493, 591, 614, 8641, 1599, 568, 1175, 835, 1935, 547, 4194, 513, 1656, 24493, 591, 614, 8641, 4147, 269, 634, 2409, 585, 20547, 1656, 24493, 591, 614, 8641, 12596, 2874, 540, 281, 13737, 4502, 9178, 267, 26458, 267, 6099, 5690, 267, 10230, 3028, 610, 519, 1656, 24493, 591, 614, 8641, 1599, 19406, 780, 295, 790, 25126, 1677, 1684, 2659, 1656, 24493, 591, 614, 8641, 4147, 692, 2252, 596, 1131, 899, 547, 1439, 909, 1373, 18164, 827, 519, 31763, 545, 4147, 267, 1287, 596, 2154, 547, 1101, 1376, 676, 19855, 519, 2228, 31763, 545, 2985, 269, 901, 2985, 786, 1397, 596, 875, 547, 8415, 519, 4147, 676, 9001, 707, 13691, 269, 634, 7778, 786, 849, 7866, 596, 875, 547, 1711, 707, 1378, 7223, 4834, 547, 4217, 596, 1353, 585, 707, 5049, 780, 26212, 547, 596, 666, 10146, 875, 547, 1353, 585, 513, 1656, 24493, 591, 614, 8641, 4147, 267, 596, 1058, 1101, 10146, 519, 946, 540, 707, 13691, 269, 1411, 786, 1451, 875, 547, 4945, 519, 1599, 10569, 593, 707, 13691, 267, 607, 1134, 607, 875, 547, 1826, 519, 5022, 269, 1703, 616, 476, 274, 9343, 540, 1599, 10569, 593, 707, 13691, 269, 3962, 4737, 814, 2185, 3252, 281, 16816, 267, 674, 272, 267, 674, 273, 267, 543, 674, 274, 780, 3528, 10296, 16816, 543, 674, 273, 267, 596, 666, 2333, 543, 7941, 519, 4502, 676, 1776, 1297, 267, 971, 607, 519, 1297, 476, 277, 269, 1635, 10296, 16816, 543, 674, 274, 267, 596, 666, 946, 519, 476, 274, 6113, 1379, 780, 2691, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 1826, 538, 519, 1297, 596, 616, 3843, 547, 9062, 543, 7941, 269, 1677, 2333, 513, 1297, 676, 3294, 267, 596, 786, 2046, 16816, 543, 2473, 267, 1141, 2473, 568, 519, 1297, 596, 1616, 547, 9062, 269, 1879, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 1883, 538, 519, 1297, 596, 616, 12394, 547, 7941, 780, 1607, 1568, 519, 3169, 1482, 609, 519, 1297, 476, 277, 267, 4849, 596, 786, 1152, 1826, 538, 519, 1079, 9704, 602, 616, 3670, 6306, 269, 7053, 267, 950, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 946, 519, 476, 275, 628, 1379, 269, 11048, 267, 950, 596, 2046, 16816, 543, 674, 275, 267, 596, 786, 8415, 519, 4890, 1379, 602, 596, 723, 1336, 547, 581, 519, 1034, 5078, 585, 707, 1966, 780, 3528, 1210, 519, 16816, 543, 674, 1599, 10569, 267, 596, 666, 2333, 267, 7941, 267, 543, 1310, 602, 946, 519, 4542, 585, 519, 476, 274, 6113, 1379, 269, 1403, 596, 2154, 547, 2333, 606, 9642, 1297, 540, 1535, 781, 267, 1287, 596, 786, 2154, 547, 4283, 606, 1256, 1297, 780, 1607, 568, 711, 519, 2013, 952, 596, 616, 12394, 547, 798, 1945, 1950, 267, 971, 607, 14921, 476, 273, 1256, 2338, 269, 1280, 3236, 267, 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 ]
[ 4945, 593, 519, 834, 23087, 257, 4781, 1985, 547, 834, 2690, 1142, 2376, 538, 513, 3049, 2668, 22478, 1142, 5816, 2022, 267, 543, 946, 519, 834, 11900, 1068, 3367, 2859, 257, 7735, 547, 3442, 1141, 519, 2022, 5758, 609, 1439, 269, 6423, 811, 827, 4657, 2262, 12304, 547, 1397, 24096, 3079, 540, 2407, 5816, 9708, 693, 5291, 2517, 4178, 269, 933, 2125, 924, 268, 4261, 697, 2593, 8276, 820, 30087, 12304, 1606, 6011, 7721, 1356, 14186, 2987, 560, 1737, 6361, 268, 21459, 1790, 739, 338, 13045, 21366, 281, 476, 7277, 3199, 3896, 4261, 697, 454, 10674, 2517, 9767, 13231, 2106, 2720, 532, 2593, 270, 589, 16797, 3391, 547, 2870, 513, 3349, 538, 9786, 6478, 585, 707, 3332, 2689, 8535, 1635, 5291, 2517, 514, 11584, 618, 1023, 16451, 2593, 454, 21366, 281, 476, 276, 4817, 8618, 29237, 298, 650, 600, 454, 1103, 713, 3381, 267, 6276, 689, 4828, 3682, 6941, 875, 547, 2328, 606, 2376, 2689, 689, 1376, 547, 9096, 269, 769, 519, 4098, 267, 6276, 2829, 606, 2376, 2689, 568, 513, 2565, 267, 16268, 6268, 540, 3332, 538, 513, 1880, 2361, 998, 5758, 267, 8760, 267, 2079, 267, 543, 6476, 269, 1403, 621, 568, 513, 3621, 2689, 2376, 602, 3096, 6538, 19707, 547, 9446, 519, 1382, 269, 634, 2376, 2689, 568, 7745, 1524, 883, 476, 276, 4295, 2694, 281, 5681, 3405, 1436, 267, 8760, 267, 2079, 267, 31886, 267, 543, 6476, 269, 1452, 4295, 2694, 2154, 835, 547, 946, 6436, 267, 2093, 267, 543, 1382, 267, 4143, 547, 519, 1641, 1858, 540, 519, 2376, 269, 30850, 267, 6276, 19528, 602, 972, 616, 1114, 2010, 540, 2376, 8039, 269, 3689, 540, 782, 267, 972, 568, 519, 4760, 2376, 2689, 799, 786, 6218, 519, 9342, 543, 12755, 540, 606, 2376, 269, 8921, 267, 972, 568, 519, 1382, 2376, 2689, 799, 15320, 689, 513, 4760, 2376, 2689, 676, 519, 1259, 602, 621, 27786, 519, 1382, 2409, 1031, 543, 6585, 602, 1344, 538, 24794, 1051, 547, 2079, 543, 16472, 269, 14936, 267, 972, 568, 519, 3621, 2376, 2689, 799, 3322, 4376, 538, 519, 7706, 540, 2257, 269, 10705, 267, 3621, 4930, 1331, 811, 1344, 593, 519, 4282, 602, 596, 666, 946, 547, 5659, 519, 2376, 538, 513, 811, 3102, 1259, 269, 2991, 2072, 267, 6276, 6941, 519, 2956, 540, 5265, 11249, 606, 2376, 2689, 269, 634, 3268, 3238, 538, 713, 1184, 616, 281, 476, 272, 269, 2776, 2389, 1856, 2985, 281, 1934, 267, 596, 786, 1616, 547, 1592, 519, 1826, 540, 519, 2376, 602, 596, 616, 17265, 267, 519, 2140, 540, 519, 2376, 267, 782, 519, 4589, 945, 8329, 547, 519, 2376, 267, 4589, 28930, 725, 630, 6570, 267, 8257, 267, 20576, 267, 2749, 267, 1533, 267, 2197, 267, 4757, 9517, 264, 476, 273, 269, 8838, 1308, 7222, 2278, 3877, 281, 2012, 267, 2232, 267, 6049, 1297, 267, 4757, 267, 543, 535, 1314, 1297, 269, 476, 274, 269, 26121, 2212, 281, 901, 568, 1152, 538, 14905, 3898, 269, 898, 568, 519, 2140, 540, 707, 1957, 27571, 547, 1447, 982, 476, 2412, 3197, 269, 476, 275, 269, 12834, 2985, 281, 901, 666, 581, 18593, 267, 4470, 593, 1018, 707, 14357, 3651, 338, 269, 634, 5758, 1058, 581, 513, 5021, 540, 476, 8517, 1913, 1279, 269, 2422, 2241, 543, 1875, 14482, 1013, 673, 1893, 269, 1684, 711, 10956, 1257, 8231, 520, 574, 610, 2285, 8100, 538, 713, 3296, 269, 476, 276, 269, 7170, 2985, 281, 799, 786, 2270, 707, 2140, 630, 984, 16227, 264, 476, 277, 269, 1323, 4985, 476, 278, 269, 634, 10610, 281, 3417, 26333, 543, 1016, 3650, 902, 476, 279, 269, 589, 3718, 24764, 5924, 22108, 2985, 476, 280, 269, 25334, 4601, 4553, 676, 23959, 543, 7612, 17691, 630, 604, 25009, 676, 519, 7548, 264, 2991, 18138, 707, 11315, 8908, 267, 1118, 2386, 547, 798, 891, 2063, 476, 274, 3268, 281, 476, 272, 269, 5681, 3405, 1125, 519, 9137, 5269, 513, 5758, 540, 519, 2376, 676, 20460, 1746, 1018, 519, 2278, 814, 2854, 827, 269, 8074, 4143, 5013, 543, 4681, 540, 519, 2376, 269, 3417, 519, 2278, 781, 8753, 538, 713, 3296, 269, 476, 273, 269, 7600, 1664, 519, 9137, 10558, 519, 9342, 543, 12755, 602, 596, 723, 1336, 538, 519, 2376, 269, 769, 1840, 267, 5031, 519, 1702, 602, 519, 2278, 814, 8329, 538, 519, 2361, 269, 4746, 267, 2328, 827, 519, 10616, 543, 32475, 538, 519, 2376, 269, 6875, 513, 29459, 540, 2901, 5885, 610, 711, 609, 519, 2278, 781, 7682, 687, 855, 1489, 707, 7440, 609, 5013, 543, 4143, 6436, 602, 616, 22317, 547, 519, 1858, 540, 1702, 269, 11676, 7879, 543, 17074, 666, 849, 581, 1031, 547, 6218, 543, 3446, 519, 1268, 17265, 519, 2376, 269, 476, 274, 269, 14958, 532, 513, 10390, 769, 713, 3296, 267, 30603, 519, 1883, 2798, 540, 707, 4062, 267, 707, 4681, 540, 519, 2376, 267, 543, 707, 16472, 269, 4746, 2328, 827, 519, 6111, 267, 14496, 267, 543, 10083, 540, 519, 2164, 540, 519, 2376, 2689, 269, 12315, 519, 1259, 4464, 585, 2104, 1382, 538, 519, 2361, 540, 1353, 269, 14936, 267, 556, 22345, 707, 4062, 513, 1554, 1310, 596, 8737, 1603, 621, 269, 901, 786, 948, 596, 5544, 8239, 9073, 543, 1294, 1022, 20924, 538, 519, 3919, 865, 596, 5749, 1406, 2348, 547, 1118, 9748, 540, 26941, 1813, 547, 1507, 6959, 563, 21366, 281, 476, 4649, 280, 280, 4828, 3682, 454, 1607, 568, 3487, 476, 272, 540, 654, 820, 5346, 12619, 344, 28522, 267, 1141, 594, 17412, 1382, 4930, 538, 476, 273, 3764, 269, 9894, 596, 917, 14918, 616, 2731, 10995, 2831, 286, 3689, 856, 568, 713, 2376, 281, 20710, 3101, 519, 2757, 3491, 326, 4809, 2069, 678, 3424, 998, 20835, 269, 1284, 2461, 27613, 12687, 713, 2376, 909, 676, 28388, 922, 1883, 5048, 538, 1079, 3764, 269, 769, 713, 2376, 649, 2119, 547, 798, 1945, 827, 519, 1360, 2025, 7521, 1063, 1079, 1114, 2081, 547, 4001, 1107, 2757, 8957, 11636, 2069, 269, 1452, 1079, 26037, 616, 4330, 538, 519, 2376, 269, 2368, 2161, 602, 713, 568, 835, 540, 519, 1034, 1271, 2591, 538, 2069, 269, 11334, 616, 7142, 547, 3442, 1063, 6551, 7190, 543, 13112, 340, 8864, 269, 634, 1292, 4661, 540, 713, 2376, 568, 602, 20835, 666, 948, 3610, 8115, 1063, 519, 1079, 26037, 267, 676, 4543, 873, 9192, 2757, 543, 11636, 2069, 538, 1007, 2081, 269, 901, 2856, 568, 4843, 538, 519, 2376, 998, 513, 2185, 9912, 4661, 566, 563, 21366, 281, 476, 4343, 9410, 19768, 2946, 639, 454, 2525, 284, 3095, 1357, 535, 1853, 337, 4179, 2517, 2998, 334, 3052, 331, 270, 279, 340, 272, 297, 9288, 12315, 519, 19420, 517, 3009, 589, 13697, 311, 1015, 815, 2525, 3095, 1357, 535, 1853, 337, 4179, 2517, 2998, 334, 3052, 331, 270, 273, 295, 289, 339, 275, 340, 898, 781, 3498, 4005, 256, 10241, 543, 2123, 6898, 616, 1079, 540, 1250, 1603, 32258, 256, 19120, 5874, 281, 2160, 540, 6239, 8419, 23958, 630, 258, 272, 772, 2529, 6993, 269, 4653, 8419, 2160, 264, 12866, 266, 13012, 5675, 543, 3798, 1746, 15232, 476, 1001, 278, 12333, 5675, 769, 3179, 1222, 585, 8419, 13323, 11076, 2160, 4208, 2725, 286, 1234, 2391, 593, 28479, 19188, 666, 581, 2352, 269, 1215, 666, 596, 3972, 2576, 596, 4312, 2760, 1558, 609, 2629, 6054, 270, 1372, 611, 6050, 286, 18641, 267, 594, 6415, 7817, 15129, 543, 835, 540, 1906, 23965, 547, 723, 5249, 609, 4589, 267, 2101, 14078, 267, 543, 1053, 630, 5976, 9118, 1967, 2984, 585, 15938, 543, 10927, 2090, 267, 1519, 2564, 267, 1876, 267, 543, 1870, 1153, 1040, 14627, 550, 18768, 281, 10241, 630, 297, 984, 270, 17206, 10241, 267, 9608, 32276, 267, 1763, 6979, 267, 22008, 338, 264, 2494, 11245, 338, 267, 4260, 11594, 267, 26358, 1299, 7734, 15080, 267, 7577, 26671, 1299, 15750, 2572, 1656, 2859, 256, 6904, 3657, 634, 16200, 518, 1912, 29320, 286, 3627, 4682, 547, 519, 2706, 21466, 543, 3893, 930, 5798, 269, 3627, 588, 9776, 547, 519, 2706, 21466, 543, 12349, 5798, 269, 3571, 5784, 616, 1114, 982, 9553, 269, 3571, 5784, 616, 25710, 16375, 547, 9553, 563, 21366, 281, 476, 272, 476, 4335, 298, 5784, 454, 4499, 3095, 1357, 674, 1853, 337, 4179, 2517, 2998, 334, 3052, 331, 270, 311, 344, 290, 14150, 279, 12315, 519, 19420, 517, 3009, 589, 13697, 311, 1015, 815, 2525, 284, 3095, 1357, 674, 1853, 337, 4179, 2517, 2998, 334, 3052, 331, 270, 9573, 304, 337, 280, 336, 594, 2932, 1382, 593, 1585, 5396, 1519, 2792, 267, 2923, 267, 2797, 2257, 267, 1686, 267, 1870, 267, 15257, 267, 6530, 267, 543, 6725, 1851, 1866, 269, 594, 993, 21295, 538, 6673, 267, 9628, 267, 14905, 267, 543, 17090, 8261, 338, 540, 2511, 543, 723, 6707, 1031, 1585, 2777, 2511, 10274, 3177, 676, 7218, 269, 594, 729, 849, 513, 19784, 267, 593, 5234, 609, 1312, 513, 12139, 543, 513, 12353, 11356, 269, 594, 723, 1995, 538, 22048, 543, 700, 10485, 1603, 267, 607, 1134, 607, 1995, 5967, 532, 5396, 543, 7900, 3573, 1382, 563, 21366, 281, 476, 274, 476, 4335, 298, 5784, 0, 291, 658, 1736, 543, 13003, 2550, 3068, 5176, 1614, 2053, 519, 1981, 540, 12955, 689, 2860, 607, 3379, 609, 519, 2489, 2551, 267, 2687, 547, 1007, 1382, 563, 28095, 1382, 814, 3254, 602, 2550, 593, 31533, 610, 723, 4607, 513, 8459, 13003, 616, 693, 2362, 1981, 540, 3384, 2860, 267, 855, 972, 723, 1044, 1906, 2090, 547, 2708, 2860, 9019, 3928, 1851, 891, 2550, 563, 2414, 8495, 267, 18238, 670, 269, 30080, 267, 631, 11065, 11065, 2529, 1421, 540, 519, 2160, 540, 17638, 543, 9164, 3379, 519, 2860, 5829, 9019, 3928, 538, 8459, 13003, 23700, 543, 31533, 2550, 609, 1346, 540, 519, 2489, 2551, 269, 1358, 3370, 741, 2164, 2228, 538, 1977, 5980, 540, 13605, 327, 14347, 593, 4924, 269, 476, 1691, 563, 763, 3173, 3379, 2860, 9019, 3928, 1851, 13003, 543, 31533, 2550, 1210, 1239, 6394, 689, 519, 5245, 543, 1715, 10215, 12480, 1736, 543, 3690, 8690, 3204, 3588, 689, 476, 2735, 271, 998, 476, 1001, 275, 269, 1358, 4553, 476, 7367, 267, 280, 3607, 31533, 2550, 585, 476, 10204, 267, 271, 4649, 3461, 26188, 267, 543, 27424, 476, 1626, 267, 279, 736, 13003, 2550, 585, 476, 12553, 267, 31134, 3461, 26188, 269, 634, 1382, 2319, 4857, 476, 273, 267, 278, 4375, 2860, 5829, 7972, 1851, 31533, 2550, 543, 476, 280, 2537, 2860, 7972, 1851, 13003, 2550, 563, 763, 28454, 281, 9435, 18200, 1275, 26162, 14451, 538, 12480, 1736, 543, 3690, 8690, 14904, 454, 7021, 519, 12732, 540, 476, 1015, 1296, 267, 9019, 3928, 941, 476, 277, 269, 272, 2600, 538, 31533, 2550, 543, 476, 275, 269, 276, 2600, 538, 13003, 2550, 269, 5637, 31533, 543, 13003, 23700, 4810, 936, 476, 273, 269, 276, 2053, 2362, 4220, 540, 2860, 7972, 982, 798, 2043, 540, 519, 1482, 2085, 543, 4008, 538, 519, 2489, 2551, 267, 609, 519, 2949, 2860, 13387, 9019, 12753, 630, 15551, 20745, 264, 6029, 513, 476, 273, 269, 277, 2053, 2362, 1981, 585, 1346, 593, 31533, 543, 476, 273, 269, 278, 2053, 2362, 1981, 585, 23700, 540, 8459, 1098, 17852, 563, 21296, 24869, 5448, 20639, 519, 5207, 15382, 305, 693, 476, 1789, 269, 278, 585, 31533, 2550, 267, 4553, 676, 1449, 7781, 2860, 693, 476, 1704, 269, 271, 543, 8459, 2860, 693, 476, 1321, 269, 276, 269, 634, 5207, 15382, 20745, 585, 13003, 23700, 941, 1875, 6953, 617, 326, 7219, 28623, 693, 476, 1015, 269, 278, 267, 4553, 676, 8459, 11871, 693, 476, 278, 269, 279, 267, 543, 27441, 693, 476, 276, 269, 279, 563, 15253, 1563, 609, 519, 2489, 2551, 267, 2021, 543, 7820, 2550, 4810, 3226, 1164, 4220, 269, 3690, 8690, 543, 31533, 2550, 9907, 476, 736, 547, 476, 4097, 1185, 513, 4557, 19507, 2362, 1981, 540, 2860, 5829, 2669, 607, 3379, 609, 519, 2489, 1857, 563, 763, 1292, 9920, 585, 2860, 7972, 28209, 1063, 519, 31533, 543, 13003, 2550, 281, 519, 1292, 9920, 585, 2860, 7972, 538, 31533, 2550, 729, 689, 11871, 1459, 1354, 519, 1376, 540, 31533, 267, 6466, 519, 1292, 9920, 585, 2860, 9019, 1851, 13003, 2550, 941, 11871, 602, 2919, 1310, 24328, 563, 8170, 1346, 945, 5747, 689, 2860, 5829, 3123, 267, 476, 280, 269, 277, 2600, 540, 13003, 23700, 543, 476, 8618, 269, 271, 2600, 540, 31533, 2550, 1185, 840, 25365, 2860, 269, 15382, 305, 729, 476, 272, 269, 273, 543, 476, 273, 269, 277, 585, 31533, 543, 13003, 2550, 267, 6606, 267, 585, 632, 18051, 334, 2860, 269, 634, 2333, 538, 2860, 5829, 7972, 1851, 8459, 13003 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4010, 476, 6110, 19641, 7381, 454, 825, 1899, 11583, 318, 3036, 5456, 2562, 267, 962, 318, 3036, 5456, 2562, 267, 2473, 318, 3036, 5456, 2562, 267, 962, 318, 3036, 5456, 2562, 910, 962, 318, 288, 311, 3041, 318, 4047, 20846, 2020, 825, 1305, 21760, 2891, 18872, 8442, 1948, 6282, 525, 519, 6003, 585, 519, 2451, 2865, 586, 14289, 267, 14661, 476, 1839, 19641, 547, 519, 2451, 1210, 700, 5723, 5085, 318, 9915, 3722, 5058, 547, 1118, 621, 1413, 2973, 563, 825, 1305, 293, 2632, 2891, 6635, 658, 2580, 834, 1015, 2580, 834, 321, 1245, 5602, 825, 1257, 11583, 318, 3036, 5456, 2562, 910, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 962, 318, 288, 311, 3041, 318, 290, 7728, 2207, 267, 586, 288, 343, 529, 11243, 2020, 825, 1305, 21760, 2891, 18872, 8442, 1948, 6282, 525, 1318, 2173, 739, 586, 14289, 547, 2347, 519, 1413, 540, 519, 3113, 454, 825, 1899, 11583, 318, 3036, 5456, 2562, 1341, 2473, 318, 288, 311, 3041, 318, 299, 2894, 294, 8025, 267, 962, 318, 3036, 5456, 2562, 267, 2473, 318, 3036, 5456, 2562, 1341, 2473, 318, 288, 311, 3041, 318, 299, 2894, 294, 8025, 267, 962, 318, 3036, 5456, 2562, 910, 962, 318, 288, 311, 3041, 318, 4047, 20846, 2020, 825, 8884, 15575, 815, 476, 271, 1948, 12878, 15935, 513, 1293, 547, 581, 1031, 538, 519, 1247, 8520, 585, 2870, 3593, 3403, 7470, 6050, 692, 825, 1948, 12878, 15935, 513, 1247, 8520, 602, 5932, 7470, 6050, 543, 5947, 902, 689, 3593, 3403, 585, 8884, 454, 825, 1948, 4746, 3096, 476, 6110, 607, 519, 2366, 514, 601, 1871, 1317, 519, 5021, 4463, 540, 519, 5750, 568, 476, 6110, 19641, 454, 825, 1247, 8884, 15575, 10922, 476, 6110, 912, 1038, 1305, 21760, 2891, 18872, 8442, 1948, 6282, 525, 7470, 6050, 454, 1038, 1899, 11583, 318, 3036, 5456, 2562, 267, 962, 318, 3036, 5456, 2562, 910, 8884, 15575, 267, 2473, 318, 3036, 5456, 2562, 1341, 2473, 318, 288, 311, 3041, 318, 299, 2894, 294, 8025, 267, 962, 318, 3036, 5456, 2562, 910, 8884, 15575, 2020, 1038, 1305, 21760, 2891, 18872, 8442, 1948, 6282, 525, 5947, 902, 454, 1038, 1305, 293, 2632, 2891, 6635, 658, 2580, 834, 1015, 2580, 834, 321, 1245, 5602, 1038, 1257, 11583, 318, 3036, 5456, 2562, 1341, 2473, 318, 288, 311, 3041, 318, 299, 2894, 294, 8025, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 8884, 15575, 267, 8884, 15575, 2020, 1038, 8884, 15575, 815, 8884, 15575, 1341, 8884, 19368, 4449, 567, 1948, 901, 1899, 568, 2556, 547, 1118, 519, 7470, 6050, 543, 5947, 902, 5265, 2721, 693, 519, 3593, 9138, 8884, 692, 825, 1948, 1452, 834, 604, 270, 19197, 3046, 15575, 2652, 1948, 281, 834, 17787, 630, 1467, 476, 10619, 910, 476, 24062, 264, 616, 1031, 547, 1711, 519, 3003, 3046, 5750, 1759, 593, 3593, 3403, 454, 825, 952, 3046, 15575, 2652, 476, 273, 912, 1038, 645, 2752, 318, 9915, 3722, 5058, 815, 476, 10204, 14030, 25639, 1948, 12878, 15935, 7229, 3730, 21635, 547, 1118, 5750, 1413, 2973, 454, 1038, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 815, 476, 13975, 14030, 2018, 1948, 630, 18528, 5166, 4470, 593, 875, 1082, 13063, 1590, 581, 6537, 994, 1038, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 815, 476, 23310, 692, 1038, 3046, 3080, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 1101, 3046, 281, 834, 264, 1363, 1948, 20283, 338, 3593, 3403, 585, 3046, 10297, 267, 4463, 267, 543, 7990, 630, 3467, 13063, 815, 811, 3593, 11378, 994, 1038, 3046, 3080, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 1101, 3046, 281, 27328, 1038, 3046, 3080, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 1101, 3046, 281, 834, 2020, 1038, 3046, 10521, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 2034, 3046, 281, 19515, 1038, 3046, 10521, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 2034, 3046, 281, 27328, 1038, 3046, 10521, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 2034, 3046, 281, 834, 2020, 1038, 1948, 8571, 338, 519, 5750, 1210, 25965, 543, 3593, 9138, 2418, 454, 1038, 1305, 293, 650, 6357, 541, 3080, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 3080, 3891, 697, 267, 645, 2752, 318, 310, 2839, 8025, 267, 3046, 3080, 3891, 697, 2020, 1038, 1305, 293, 650, 6357, 541, 10521, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 645, 2752, 318, 310, 2839, 8025, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 10521, 3891, 697, 267, 645, 2752, 318, 310, 2839, 8025, 267, 3046, 10521, 3891, 697, 2020, 1038, 1948, 6282, 525, 519, 10297, 896, 543, 593, 1283, 540, 519, 13063, 454, 1038, 1305, 21760, 2891, 18872, 5602, 1038, 1305, 293, 2632, 2891, 6635, 658, 2580, 834, 1015, 2580, 834, 321, 1245, 5602, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 3080, 299, 8475, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 3080, 3891, 697, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 3080, 3891, 697, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 10521, 299, 8475, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 10521, 3891, 697, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 10521, 3891, 697, 2020, 1038, 1948, 901, 1184, 568, 7368, 585, 909, 547, 476, 277, 13063, 269, 2859, 13063, 815, 7756, 21635, 815, 476, 2859, 3593, 11378, 815, 2859, 25965, 815, 2859, 10297, 454, 825, 8640, 3046, 15575, 2652, 476, 274, 912, 1038, 645, 2752, 318, 9915, 3722, 5058, 815, 476, 9873, 454, 1038, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 815, 476, 10204, 454, 1038, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 815, 476, 7742, 454, 1038, 645, 2752, 318, 8025, 12767, 318, 290, 7728, 2207, 815, 476, 20065, 692, 1038, 3046, 3080, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 1101, 3046, 281, 19515, 1038, 3046, 3080, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 1101, 3046, 281, 27328, 1038, 3046, 3080, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 1101, 3046, 281, 834, 2020, 1038, 3046, 10521, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 2034, 3046, 281, 19515, 1038, 3046, 10521, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 2034, 3046, 281, 27328, 1038, 3046, 10521, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 2034, 3046, 281, 834, 2020, 1038, 3046, 16248, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 3791, 3046, 281, 19515, 1038, 3046, 16248, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 3791, 3046, 281, 27328, 1038, 3046, 16248, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 3791, 3046, 281, 834, 2020, 1038, 1305, 293, 650, 6357, 541, 3080, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 3080, 3891, 697, 267, 645, 2752, 318, 310, 2839, 8025, 267, 3046, 3080, 3891, 697, 2020, 1038, 1305, 293, 650, 6357, 541, 10521, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 645, 2752, 318, 310, 2839, 8025, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 10521, 3891, 697, 267, 645, 2752, 318, 310, 2839, 8025, 267, 3046, 10521, 3891, 697, 2020, 1038, 1305, 293, 650, 6357, 541, 16248, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 476, 273, 2608, 645, 2752, 318, 310, 2839, 8025, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 16248, 3891, 697, 267, 645, 2752, 318, 310, 2839, 8025, 267, 3046, 16248, 3891, 697, 2020, 1038, 1305, 21760, 2891, 18872, 5602, 1038, 1305, 293, 2632, 2891, 6635, 658, 2580, 834, 1015, 2580, 834, 321, 1245, 5602, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 3080, 299, 8475, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 3080, 3891, 697, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 3080, 3891, 697, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 10521, 299, 8475, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 10521, 3891, 697, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 10521, 3891, 697, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 8025, 12767, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 16248, 299, 8475, 994, 1038, 1257, 11583, 318, 3036, 5456, 2562, 476, 1341, 645, 2752, 318, 8025, 12767, 318, 290, 7728, 2207, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 16248, 3891, 697, 1341, 700, 5723, 5085, 318, 9915, 3722, 5058, 267, 3046, 16248, 3891, 697, 994, 825, 8640, 3046, 15575, 2652, 476, 275, 912, 1038, 645, 2752, 318, 9915, 3722, 5058, 815, 476, 3445, 454, 1038, 645, 2752, 318, 24535, 318, 290, 7728, 2207, 815, 476, 9873, 454, 1038, 645, 2752, 318, 307, 310, 302, 318, 290, 7728, 2207, 815, 476, 13975, 454, 1038, 645, 2752, 318, 8025, 12767, 318, 290, 7728, 2207, 815, 476, 23310, 454, 1038, 645, 2752, 318, 293, 21788, 318, 290, 7728, 2207, 815, 476, 24907, 692, 1038, 3046, 3080, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 1101, 3046, 281, 19515, 1038, 3046, 3080, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 1101, 3046, 281, 27328, 1038, 3046, 3080, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 1101, 3046, 281, 834, 2020, 1038, 3046, 10521, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 2034, 3046, 281, 19515, 1038, 3046, 10521, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 2034, 3046, 281, 27328, 1038, 3046, 10521, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 2034, 3046, 281, 834, 2020, 1038, 3046, 16248, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 3791, 3046, 281, 19515, 1038, 3046, 16248, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 3791, 3046, 281, 27328, 1038, 3046, 16248, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 3791, 3046, 281, 834, 2020, 1038, 3046, 19177, 299, 8475, 815, 3403, 2891, 11767, 513, 2012, 585, 519, 8772, 3046, 281, 19515, 1038, 3046, 19177, 3891, 697, 815, 703, 9272, 2891, 11767, 513, 1871, 585, 519, 8772, 3046, 281, 27328, 1038, 3046, 19177, 8624, 712, 815, 3403, 2891, 303, 1157, 513, 7990, 585, 519, 8772, 3046, 281, 834, 2020, 1038, 1305, 293, 650, 6357, 541, 3080, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456, 2562, 910, 3046, 3080, 3891, 697, 267, 645, 2752, 318, 310, 2839, 8025, 267, 3046, 3080, 3891, 697, 2020, 1038, 1305, 293, 650, 6357, 541, 10521, 8624, 712, 994, 1038, 6439, 11583, 318, 3036, 5456, 2562, 1341, 645, 2752, 318, 310, 2839, 8025, 1341, 645, 2752, 318, 9915, 3722, 5058, 267, 962, 318, 3036, 5456 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 589, 269, 1403, 815, 267, 1287, 1058, 581, 3294, 269, 1284, 666, 849, 9062, 513, 5119, 676, 1776, 5119, 267, 855, 713, 1184, 568, 811, 7294, 269, 5564, 28745, 4223, 4631, 4635, 546, 613, 7825, 5564, 28745, 4223, 4631, 4635, 546, 613, 7825, 6902, 3267, 1280, 1383, 267, 596, 666, 1685, 713, 5106, 609, 519, 1098, 2821, 610, 31669, 1098, 2821, 540, 589, 269, 543, 645, 269, 9717, 1079, 23661, 14290, 630, 306, 27785, 19336, 543, 922, 11269, 1923, 5590, 476, 272, 630, 8794, 1488, 7590, 543, 21912, 700, 1235, 24270, 1685, 4238, 971, 607, 1039, 267, 9062, 610, 1098, 2821, 540, 519, 14290, 538, 741, 23661, 1106, 3294, 7868, 1267, 1058, 2874, 540, 1614, 23661, 14290, 267, 835, 5833, 676, 4946, 519, 1079, 3403, 14290, 267, 835, 676, 14921, 519, 1079, 14290, 543, 835, 5833, 676, 1098, 2821, 540, 519, 1101, 5119, 269, 1744, 718, 594, 1175, 798, 602, 286, 8074, 602, 596, 2040, 936, 4010, 1346, 17523, 602, 2408, 7466, 538, 519, 14805, 663, 267, 12077, 795, 2073, 737, 2073, 543, 561, 1547, 23010, 269, 589, 21070, 281, 1592, 540, 2338, 11231, 538, 513, 4737, 610, 6241, 552, 3052, 269, 476, 272, 269, 274, 269, 273, 18527, 540, 4223, 4631, 270, 30467, 3690, 2821, 769, 3296, 476, 272, 269, 274, 269, 272, 267, 649, 2808, 1152, 4009, 14290, 267, 607, 891, 616, 540, 1719, 538, 6061, 5276, 2042, 16547, 815, 536, 269, 769, 6128, 267, 3226, 538, 5276, 7223, 267, 5119, 8691, 568, 513, 9352, 5106, 602, 7472, 513, 5119, 689, 1079, 14290, 269, 32150, 3502, 566, 634, 3961, 5119, 538, 21723, 10035, 568, 3274, 6695, 23169, 3709, 6359, 6525, 269, 1548, 1281, 14921, 513, 5119, 676, 922, 1098, 2821, 723, 547, 798, 609, 19706, 11532, 286, 1284, 2322, 513, 834, 307, 257, 538, 519, 1283, 1318, 11804, 7944, 547, 1611, 1098, 2821, 281, 3502, 566, 269, 2913, 779, 1174, 1840, 540, 14290, 676, 6516, 269, 476, 275, 269, 5564, 28745, 4223, 4631, 2060, 966, 26662, 543, 6348, 4149, 13645, 4223, 4631, 269, 6296, 543, 782, 540, 922, 7440, 666, 581, 1336, 538, 519, 7790, 613, 7825, 269, 5564, 28745, 14290, 1879, 649, 9062, 513, 5119, 676, 513, 22185, 630, 328, 4318, 1421, 513, 2582, 1297, 264, 649, 3274, 9062, 782, 519, 5119, 781, 2474, 676, 602, 22185, 269, 3267, 568, 519, 1267, 540, 2451, 2173, 738, 28745, 676, 14578, 2053, 269, 18527, 540, 4223, 4631, 269, 589, 5119, 568, 2356, 3254, 676, 513, 3854, 4484, 630, 7945, 607, 589, 267, 610, 645, 264, 3267, 5564, 28745, 4223, 4631, 10318, 5364, 540, 513, 19336, 19336, 18185, 19336, 12039, 10789, 476, 273, 12039, 269, 5440, 269, 8605, 540, 1079, 14290, 568, 281, 476, 2190, 476, 3066, 476, 277, 476, 1839, 1547, 6296, 543, 782, 540, 922, 7440, 666, 581, 1336, 538, 519, 524, 4565, 553, 318, 286, 613, 7825, 269, 1403, 596, 9062, 513, 5119, 623, 540, 7516, 630, 332, 1535, 562, 264, 609, 513, 5119, 966, 540, 7516, 630, 333, 1535, 533, 264, 596, 3580, 1205, 513, 5119, 540, 10155, 630, 332, 1535, 533, 1040, 901, 3381, 11225, 519, 1098, 2821, 540, 513, 5119, 543, 6941, 875, 547, 1098, 2821, 513, 5119, 269, 1281, 711, 1860, 519, 1129, 540, 519, 16494, 2694, 269, 5565, 14290, 666, 1152, 581, 3773, 610, 10208, 539, 952, 789, 723, 519, 1482, 2450, 269, 594, 10416, 993, 3843, 547, 1174, 1018, 713, 1131, 1611, 609, 14621, 547, 26034, 540, 6329, 269, 3767, 950, 649, 2824, 519, 8880, 1592, 1287, 621, 786, 1397, 13138, 3198, 9915, 5308, 292, 27887, 272, 281, 309, 272, 1040, 3690, 2821, 540, 513, 19336, 12354, 1511, 281, 11083, 815, 589, 262, 11083, 815, 476, 273, 476, 274, 910, 273, 476, 272, 476, 273, 476, 273, 12354, 1511, 281, 11083, 307, 815, 11083, 262, 11083, 307, 815, 476, 273, 476, 272, 476, 274, 476, 273, 910, 273, 476, 273, 5871, 966, 26662, 5149, 21070, 12354, 1511, 281, 772, 815, 3283, 263, 274, 267, 272, 264, 772, 815, 476, 272, 476, 272, 476, 272, 5871, 4223, 4631, 5149, 19336, 4635, 853, 1092, 12354, 1511, 281, 772, 815, 3283, 263, 274, 267, 273, 264, 772, 815, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 4144, 21192, 19336, 1403, 3007, 568, 11658, 547, 1483, 29705, 4240, 630, 12061, 1606, 532, 983, 4009, 538, 3200, 1043, 264, 14290, 267, 1287, 606, 3617, 2243, 543, 930, 4267, 616, 1336, 538, 21069, 17883, 540, 1483, 14290, 269, 1403, 649, 2015, 513, 631, 1535, 715, 1483, 5119, 589, 267, 1287, 589, 7851, 1169, 6152, 642, 4501, 486, 305, 301, 883, 513, 634, 1587, 540, 891, 1079, 14290, 630, 2280, 779, 1289, 621, 595, 1070, 568, 1336, 676, 14921, 519, 13366, 538, 519, 1101, 4737, 540, 6241, 589, 676, 519, 13366, 538, 519, 1101, 6241, 540, 645, 543, 2040, 2719, 873, 1927, 269, 901, 1568, 630, 1492, 8691, 267, 711, 519, 3009, 264, 538, 4223, 24248, 855, 594, 991, 547, 946, 621, 538, 513, 9226, 3498, 269, 594, 723, 476, 275, 13012, 540, 3946, 593, 1995, 593, 4543, 2875, 538, 11264, 741, 6780, 269, 1403, 596, 9062, 589, 543, 519, 11201, 267, 1287, 519, 1267, 568, 1770, 5119, 269, 898, 568, 519, 918, 337, 821, 14982, 18647, 602, 11224, 476, 272, 950, 3230, 328, 815, 795, 2330, 543, 476, 271, 6382, 269, 16544, 540, 1098, 2821, 1280, 5119, 8691, 267, 519, 1297, 540, 9587, 538, 519, 1101, 5119, 1590, 581, 3160, 547, 519, 1297, 540, 9343, 538, 519, 2034, 5119, 269, 769, 713, 4295, 28162, 5752, 5850, 786, 1451, 875, 547, 1039, 1079, 14290, 538, 28162, 269, 19336, 589, 815, 630, 320, 1775, 329, 264, 543, 519, 1098, 2821, 540, 589, 568, 281, 589, 570, 815, 630, 320, 795, 328, 264, 1141, 795, 568, 519, 6241, 1297, 543, 1775, 568, 519, 4737, 1297, 540, 5119, 589, 269, 769, 2091, 540, 589, 568, 589, 268, 272, 269, 1411, 723, 547, 1098, 2821, 519, 2034, 269, 9795, 1101, 282, 6382, 267, 1312, 14290, 723, 1875, 8410, 845, 762, 7516, 269, 3767, 267, 2119, 14921, 707, 1378, 14290, 269, 4616, 540, 476, 1015, 4559, 2473, 543, 476, 277, 4559, 540, 962, 3947, 513, 4616, 6152, 630, 311, 267, 312, 264, 540, 630, 1015, 267, 277, 264, 9881, 510, 630, 277, 267, 1015, 264, 589, 19336, 281, 513, 1079, 8820, 5044, 540, 2338, 11231, 538, 9343, 543, 1411, 666, 849, 946, 519, 7306, 547, 3313, 519, 1267, 540, 14921, 519, 1079, 14290, 269, 513, 5119, 609, 513, 6152, 1040, 634, 2347, 3877, 540, 7207, 540, 519, 546, 613, 7825, 269, 3690, 2821, 540, 4223, 4631, 269, 667, 9128, 2562, 296, 3582, 281, 634, 1098, 2821, 540, 513, 5119, 568, 1336, 676, 27300, 9343, 585, 9587, 1775, 4318, 269, 19336, 18527, 269, 5502, 594, 3893, 28759, 281, 3337, 25314, 2255, 281, 3615, 3112, 581, 13739, 547, 513, 2582, 3337, 950, 14921, 1449, 9795, 609, 922, 1098, 2821, 269, 645, 815, 589, 9538, 1280, 1383, 267, 952, 589, 263, 274, 267, 273, 264, 568, 476, 272, 266, 273, 328, 543, 645, 815, 589, 269, 1323, 544, 2053, 562, 5119, 814, 547, 581, 16611, 609, 606, 562, 2053, 533, 5119, 269, 5410, 610, 10208, 1079, 610, 1614, 14290, 538, 513, 4976, 269, 634, 2347, 3877, 540, 7207, 540, 519, 546, 613, 7825, 269, 3816, 5407, 281, 596, 666, 849, 9062, 1875, 30026, 14290, 609, 1142, 824, 630, 324, 3052, 269, 5564, 28745, 1079, 14290, 568, 1152, 2009, 950, 519, 14290, 723, 519, 1318, 7516, 269, 4179, 2517, 4178, 21993, 7315, 659, 611, 5519, 3820, 270, 1862, 270, 341, 270, 15035, 17038, 5040, 20675, 2821, 6361, 8584, 2173, 520, 3700, 1790, 6055, 901, 949, 3100, 606, 9642, 543, 7294, 1259, 540, 14921, 267, 855, 621, 568, 2556, 256, 1306, 513, 2040, 609, 713, 3959, 1419, 5526, 538, 6323, 267, 6152, 11810, 267, 543, 4440, 930, 824, 4610, 267, 972, 568, 513, 17877, 1907, 585, 621, 267, 12077, 552, 1231, 636, 1547, 14329, 568, 267, 713, 729, 513, 543, 519, 11201, 267, 1287, 519, 3693, 645, 630, 476, 273, 267, 274, 568, 269, 18527, 568, 3833, 1279, 982, 1840, 610, 12408, 993, 5131, 700, 766, 570, 12460, 267, 945, 2875, 269, 15232, 593, 4543, 2875, 538, 11264, 741, 6780, 1775, 329, 7684, 1422, 3738, 543, 14921, 1098, 2821, 14290, 6382, 513, 5119, 6941, 256, 3973, 519, 1267, 568, 10268, 593, 519, 5496, 519, 3009, 3738, 538, 4223, 24248, 855, 1775, 991, 547, 621, 256, 1656, 519, 11201, 267, 1287, 519, 1267, 540, 2451, 2173, 738, 28745, 676, 14578, 2053, 1297, 540, 9343, 543, 9587, 2285, 513, 256, 594, 993, 5131, 700, 766, 570, 12460, 267, 945, 5280, 2875, 538, 11264, 741, 6780, 281, 3337, 25314, 2255, 3615, 269, 898, 12211, 547, 19706, 3069, 609, 14621, 547, 26034, 540, 6329, 1482, 1297, 540, 9343, 543, 9587, 538, 28162, 3337, 1862, 2986, 519, 1079, 14290, 666, 1152, 581, 3773, 610, 10208, 539, 14921, 1098, 2821, 14290, 789, 723, 519, 1318, 7516, 4341, 568, 267, 568, 256, 8605, 786, 581, 3989, 649, 1616, 621, 547, 960, 267, 2046, 11632, 12435, 266, 17239, 9281, 307, 266, 7728, 2207, 946, 14921, 1098, 2821, 14290, 1862, 4706, 1098, 2821, 723, 547, 798, 609, 19706, 11532, 267, 589, 273, 267, 589, 274, 267, 519, 256, 901, 568, 9587, 540, 1627, 25754, 2053, 9343, 540, 1627, 1098, 2821, 5119, 676, 922, 1098, 2821, 723, 547, 513, 1862, 5564, 28745, 14290, 267, 519, 4341, 568, 267, 713, 729, 645, 1587, 786, 3989, 1421, 589, 273, 267, 589, 274, 267, 543, 14921, 1098, 2821, 14290, 1860, 519, 1129, 540, 519, 1079, 14290, 568, 281, 476, 2190, 476, 3066, 476, 277, 907, 23893, 1297, 540, 9587, 538, 28162, 543, 589, 275, 616, 519, 3403, 14290, 519, 9343, 9587, 1862, 2142, 1336, 538, 519, 286, 17576, 332, 6902, 6382, 267, 1312, 14290, 1590, 723, 1482, 1297, 540, 9343, 538, 2034, 256, 594, 849, 3391, 873, 538, 3257, 741, 3803, 1032, 3785, 3738, 538, 4223, 24248, 855, 1775, 991, 547, 946, 538, 269, 4024, 1451, 875, 547, 1039, 1079, 14290, 2394, 519, 1657, 2783, 568, 13854, 513, 795, 328, 1775, 269, 4223, 4631, 676, 6516, 2285, 596, 513, 1483, 3734, 1383, 547, 9414, 1946, 649, 14290, 269, 901, 1259, 621, 786, 1397, 1098, 2821, 630, 661, 272, 281, 966, 272, 3738, 519, 1297, 540, 543, 256, 8605, 540, 1079, 14290, 267, 519, 8691, 540, 1079, 14290, 568, 5340, 267, 543, 589, 275, 519, 29755, 737, 267, 543, 519, 11201, 267, 1287, 519, 3693, 645, 630, 3738, 256, 1684, 609, 19706, 11532, 267, 737, 267, 543, 561, 1775, 666, 2285, 513, 269, 898, 568, 519, 918, 337, 821, 14982, 18647, 602, 11224, 476, 272, 950, 1422, 630, 1422, 23169, 318, 2715, 1775, 329, 7684, 3738, 1862, 26361, 2783, 568, 13854, 1860, 519, 1129, 540, 519, 16494, 2694, 5119, 538, 21723, 3502, 566, 519, 5119, 269, 13201, 547, 581, 16611, 609, 606, 562, 2053, 533, 5119, 519, 9343, 543, 9587, 519, 1862, 1772, 849, 476, 272, 266, 273, 328, 9226, 3498, 5119, 676, 1776, 5119, 267, 23396, 519, 9343, 543, 9587, 538, 28162, 645, 269, 1306, 802, 585, 519, 1297, 540, 9587, 16611, 609, 606, 562, 2053, 533, 5119, 713, 1862, 1677, 1174, 1018, 713, 1131, 1611, 609, 14621, 547, 26034, 540, 6329, 1587, 543, 589, 272, 23463, 1862, 2052, 711, 581, 13739, 547, 513, 2582, 3337, 950, 14921, 14290, 267, 519, 568, 1862, 4223, 4631, 568, 5340, 267, 543, 519, 11201, 267, 1287, 519, 3693, 645, 630, 476, 273, 267, 274, 3738, 568, 476, 272, 266, 273, 328, 543, 815, 1862, 5131, 700, 766, 570, 12460, 267, 945, 5280, 2875, 538, 11264, 741, 6780, 1775, 3893, 28759, 281, 3337, 25314, 2255, 281, 3615, 711, 256, 1772, 267, 713, 568, 9587, 540, 1079, 14290, 267, 519, 4341, 568, 267, 568, 256, 476, 2190, 476, 3066, 476, 277, 476, 1839, 476, 3066, 476, 277, 476, 1839, 2022, 14921, 993, 3843, 547, 1174, 1018, 713, 1131, 1611, 14621, 269, 16265, 26167, 952, 789, 723, 519, 1318, 7516, 519, 8691, 267, 519, 2450, 540, 16494, 256, 3371, 2501, 519, 3017, 1063, 840, 543, 2022, 14921, 562, 5119, 814, 547, 581, 16611, 606, 1862, 3689, 6902, 6382, 267, 1312, 14290, 1590, 723, 1482, 1297, 540, 9343, 543, 9587, 540, 1627, 25754, 2053, 540, 269, 3973, 267, 519, 4341, 568, 267, 713, 729, 513, 543, 519, 1267, 540, 707, 543, 1862, 3371, 2501, 519, 3017, 1063, 840, 543, 2022, 14921 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 268, 1323, 1965, 23569, 8650, 22377, 568, 3254, 1934, 538, 799, 519, 2695, 13904, 11940, 6242, 814, 1044, 4503, 269, 769, 519, 22377, 3490, 616, 12982, 2281, 543, 27417, 514, 563, 268, 26590, 22377, 725, 941, 3743, 585, 1713, 16063, 11702, 563, 268, 1261, 22655, 1152, 1025, 663, 1426, 1317, 540, 1010, 22377, 563, 268, 634, 2025, 812, 814, 513, 7181, 22377, 269, 0, 11190, 313, 19181, 302, 4785, 631, 2975, 4629, 10758, 294, 3198, 3041, 5960, 681, 8085, 2464, 267, 476, 1960, 274, 454, 19859, 5029, 3359, 1404, 1713, 1909, 538, 519, 2361, 540, 1604, 855, 972, 616, 454, 322, 1643, 1981, 2516, 799, 991, 547, 581, 6417, 543, 609, 513, 2070, 547, 7863, 454, 1492, 1604, 267, 2470, 543, 1072, 267, 538, 4276, 609, 3498, 540, 22319, 5303, 543, 5843, 268, 13060, 519, 29583, 339, 269, 540, 454, 19328, 814, 29600, 3652, 585, 519, 454, 257, 10048, 3011, 675, 267, 2422, 267, 7383, 267, 1401, 1636, 543, 19554, 540, 32126, 748, 5843, 268, 13060, 1315, 2637, 13443, 22041, 454, 13060, 610, 2281, 2668, 634, 32330, 2934, 540, 454, 28205, 3652, 616, 607, 5205, 912, 337, 2737, 4927, 4019, 547, 16220, 22041, 7103, 1315, 5843, 268, 13060, 543, 2281, 543, 5330, 5944, 547, 1022, 6219, 543, 2472, 543, 1426, 8631, 338, 454, 31756, 540, 799, 971, 2281, 267, 7103, 593, 8031, 1934, 1993, 1106, 851, 563, 4818, 564, 550, 8128, 547, 4308, 609, 1585, 14074, 540, 891, 3652, 616, 607, 454, 19091, 27545, 9730, 630, 31686, 3722, 994, 8333, 527, 6590, 593, 18726, 28294, 1637, 630, 13612, 14875, 994, 27807, 1606, 23245, 9730, 630, 296, 7034, 290, 994, 25811, 1359, 10088, 1998, 9730, 630, 12283, 3722, 994, 27807, 14482, 9592, 3213, 268, 867, 1588, 9730, 630, 306, 6195, 290, 994, 24038, 9730, 630, 291, 9448, 994, 19859, 268, 13060, 267, 15733, 610, 19204, 4927, 581, 18808, 896, 1079, 2101, 9843, 2676, 341, 714, 269, 3662, 13596, 267, 543, 2030, 10860, 543, 1344, 593, 891, 7103, 666, 581, 11129, 689, 519, 17073, 15863, 454, 28495, 516, 269, 1280, 1022, 4143, 454, 638, 2044, 13875, 693, 3220, 269, 681, 269, 932, 4405, 1386, 328, 563, 17367, 4927, 1104, 267, 13143, 267, 3560, 267, 5478, 267, 1184, 267, 946, 610, 6133, 454, 1415, 13818, 5843, 268, 13060, 4849, 609, 519, 13170, 540, 23817, 3722, 563, 1993, 891, 5843, 268, 13060, 11658, 547, 519, 20682, 711, 1881, 676, 7720, 9128, 585, 454, 10472, 3483, 896, 21768, 2920, 267, 476, 2735, 277, 563, 1993, 13170, 585, 6878, 267, 1641, 547, 891, 3652, 267, 4927, 581, 9619, 547, 454, 12283, 3722, 543, 519, 13170, 4927, 581, 585, 513, 9138, 1974, 711, 23630, 2185, 454, 344, 8986, 543, 7791, 585, 513, 1974, 540, 476, 273, 1296, 2053, 563, 1993, 13927, 568, 972, 543, 23817, 3722, 949, 4368, 519, 9276, 30309, 538, 519, 1184, 563, 4041, 27111, 19739, 5588, 22379, 2910, 268, 16704, 2562, 9569, 25265, 3951, 307, 7417, 454, 15253, 2391, 519, 14074, 2016, 538, 519, 32126, 748, 5843, 268, 13060, 16390, 267, 519, 454, 294, 990, 339, 269, 540, 8496, 27256, 21423, 814, 4790, 21114, 590, 6195, 290, 538, 519, 3557, 607, 5205, 912, 1475, 32459, 7625, 14199, 267, 29583, 339, 540, 631, 10422, 1421, 1546, 696, 339, 540, 24184, 1299, 454, 1475, 5353, 4038, 776, 267, 29583, 339, 540, 631, 10422, 1421, 5398, 2657, 1299, 7731, 28054, 454, 1475, 5353, 4038, 776, 267, 29583, 339, 540, 631, 10422, 1421, 1546, 696, 339, 540, 11982, 454, 1475, 5353, 4038, 776, 267, 29583, 339, 540, 631, 10422, 1421, 25642, 543, 24322, 454, 1475, 5353, 4038, 776, 267, 29583, 339, 540, 631, 10422, 1421, 5398, 3718, 1546, 696, 339, 563, 1475, 25811, 518, 538, 12751, 267, 29583, 339, 540, 631, 10422, 269, 5398, 2657, 1621, 326, 269, 1546, 696, 339, 563, 1475, 13750, 5843, 6798, 6048, 1299, 11202, 3098, 454, 1475, 2419, 1515, 2006, 267, 631, 10422, 269, 21694, 6513, 8274, 0, 28317, 17374, 630, 5228, 519, 5824, 666, 4577, 639, 267, 3294, 6508, 689, 519, 5259, 3852, 374, 10382, 14832, 14267, 14832, 15403, 24681, 14267, 19084, 834, 7758, 908, 547, 513, 4341, 1862, 4692, 517, 630, 1440, 5006, 994, 2108, 5804, 519, 5824, 1225, 9850, 630, 4818, 732, 4354, 1807, 1070, 513, 1225, 622, 630, 29455, 1315, 16659, 330, 329, 390, 488, 16745, 337, 389, 357, 339, 32551, 721, 9598, 281, 737, 344, 3233, 390, 373, 384, 511, 339, 264, 568, 1862, 10501, 622, 454, 2108, 15430, 2421, 614, 28262, 18103, 17430, 267, 519, 5463, 872, 593, 519, 12080, 543, 5020, 540, 623, 1845, 1206, 267, 568, 835, 540, 519, 6054, 1862, 15430, 2421, 614, 28262, 18103, 17430, 454, 10527, 14012, 658, 9753, 540, 519, 7826, 5783, 2882, 519, 9753, 540, 31967, 267, 632, 659, 976, 543, 1862, 303, 1845, 11856, 630, 290, 987, 4301, 5783, 994, 2108, 300, 976, 793, 528, 267, 726, 269, 544, 976, 793, 9461, 267, 568, 519, 1106, 540, 2232, 585, 1346, 2818, 540, 519, 23464, 540, 519, 1862, 300, 976, 793, 528, 454, 29205, 976, 2834, 616, 2818, 540, 1978, 4703, 540, 2052, 976, 2713, 538, 2146, 896, 519, 4864, 15687, 1862, 4692, 976, 8617, 454, 10527, 2165, 1849, 518, 802, 8617, 630, 28410, 983, 1849, 17064, 8617, 264, 1374, 919, 513, 1297, 540, 7826, 20577, 1862, 290, 2401, 802, 8617, 454, 1607, 7121, 814, 519, 1739, 476, 273, 23658, 20975, 267, 856, 540, 476, 273, 2698, 563, 303, 1137, 538, 7121, 834, 290, 987, 4301, 17913, 11856, 4840, 763, 1739, 476, 2190, 3817, 616, 538, 713, 7121, 267, 856, 540, 476, 2190, 2698, 269, 0, 1432, 568, 513, 25833, 26225, 888, 14240, 540, 25833, 26225, 454, 763, 12548, 16390, 2500, 476, 279, 270, 272, 270, 1001, 274, 630, 273, 6717, 305, 476, 2004, 274, 268, 272, 267, 476, 1626, 269, 6344, 264, 5581, 25833, 26225, 607, 513, 9659, 602, 912, 288, 269, 1772, 28955, 1354, 519, 1268, 10301, 8938, 26690, 630, 2420, 264, 1296, 540, 2085, 3248, 289, 269, 4790, 13699, 513, 8101, 9659, 547, 519, 4299, 1367, 267, 607, 7152, 676, 519, 7355, 2630, 693, 595, 269, 272, 543, 5924, 595, 269, 273, 282, 543, 454, 290, 269, 1772, 30289, 547, 2790, 29472, 566, 610, 1644, 2175, 267, 799, 1331, 19548, 25097, 344, 267, 20560, 267, 10295, 610, 824, 14715, 2175, 267, 950, 971, 2175, 1267, 538, 2901, 15717, 540, 2489, 7214, 8647, 610, 13261, 2623, 2147, 547, 602, 540, 513, 1268, 609, 2790, 29472, 566, 563, 272, 269, 6764, 1515, 618, 540, 968, 2102, 1968, 7214, 8647, 262, 1797, 602, 519, 1268, 814, 1044, 5462, 547, 723, 513, 9509, 17361, 7214, 23479, 6697, 799, 568, 1079, 610, 811, 3044, 24017, 2630, 519, 1611, 630, 3583, 610, 1447, 14322, 513, 4336, 609, 513, 1611, 540, 476, 1911, 543, 513, 3044, 11539, 540, 476, 1428, 1916, 320, 269, 589, 6281, 6060, 13380, 547, 519, 4937, 2806, 1988, 12039, 585, 513, 1284, 577, 338, 2401, 11106, 17361, 602, 568, 1079, 610, 811, 3044, 24017, 2630, 519, 1611, 949, 581, 1031, 1152, 952, 513, 9509, 17361, 6060, 3112, 581, 14013, 6508, 563, 321, 269, 24143, 4927, 581, 5462, 1210, 513, 2343, 26518, 13387, 1449, 540, 7214, 8647, 13380, 547, 513, 2649, 1947, 13950, 1284, 577, 338, 2401, 11106, 17361, 610, 18628, 5174, 6839, 4987, 10253, 267, 607, 15428, 610, 1699, 547, 519, 4266, 540, 7245, 269, 634, 1449, 4927, 581, 13950, 676, 513, 13931, 18673, 610, 513, 1153, 18673, 563, 322, 269, 1879, 8159, 519, 7214, 23479, 6697, 6060, 267, 513, 5021, 6015, 1377, 540, 562, 27197, 2600, 630, 3445, 8472, 4927, 581, 4294, 547, 519, 9509, 17361, 6060, 547, 3313, 952, 519, 8884, 2882, 513, 6060, 540, 476, 3583, 610, 1447, 267, 543, 4927, 581, 14648, 547, 519, 4324, 540, 519, 32358, 1373, 5462, 547, 723, 513, 25833, 26225, 563, 273, 269, 1412, 3849, 28922, 2623, 2147, 547, 602, 540, 513, 1268, 609, 2790, 29472, 566, 262, 1797, 602, 454, 1492, 1268, 814, 606, 2949, 13261, 2623, 1290, 22683, 610, 6697, 6060, 602, 568, 1079, 454, 528, 811, 3044, 24017, 2630, 519, 1611, 563, 320, 269, 12763, 906, 4927, 581, 5462, 1210, 513, 2343, 18022, 22235, 267, 13387, 4879, 540, 13261, 5615, 602, 568, 3617, 547, 519, 1268, 779, 2713, 1604, 543, 13380, 547, 513, 2649, 1947, 13950, 15550, 14657, 4336, 540, 13261, 2623, 267, 607, 15428, 610, 1699, 547, 519, 4266, 540, 7245, 269, 634, 4879, 4927, 581, 13950, 543, 5462, 676, 513, 3318, 11727, 547, 17982, 519, 4879, 1031, 563, 321, 269, 1879, 8159, 519, 2949, 13261, 2623, 6060, 267, 513, 5021, 6015, 1377, 540, 476, 3445, 2600, 4927, 581, 4294, 547, 519, 2949, 13261, 2623, 6060, 547, 3313, 952, 519, 8884, 2039, 2882, 513, 6060, 540, 476, 3583, 610, 1447, 543, 4927, 581, 14648, 547, 519, 4324, 540, 519, 32358, 1373, 5462, 547, 723, 513, 11095, 9659, 563, 291, 269, 589, 1268, 4927, 711, 581, 5462, 547, 723, 513, 25833, 26225, 952, 621, 666, 581, 7152, 971, 2175, 616, 30289, 547, 1152, 513, 2168, 610, 10444, 15717, 610, 513, 2790, 4576, 269, 0, 571, 3913, 600, 6258, 902, 1683, 2776, 17469, 19593, 592, 4548, 454, 24154, 3913, 600, 6258, 902, 6236, 606, 2038, 2069, 9744, 267, 5516, 326, 1392, 543, 3610, 538, 519, 6703, 723, 1702, 540, 519, 2528, 7028, 585, 519, 1893, 543, 7924, 1565, 540, 519, 1453, 543, 3885, 789, 616, 7674, 563, 24154, 3913, 600, 700, 518, 534, 902, 1683, 6190, 1983, 538, 13057, 1507, 2516, 540, 1453, 538, 1931, 547, 2285, 2407, 3007, 547, 1367, 1762, 1453, 779, 1893, 543, 7924, 4674, 563, 24154, 3913, 600, 6258, 902, 8561, 593, 5373, 856, 21183, 1453, 1247, 789, 948, 1360, 2911, 894, 607, 1134, 607, 547, 3717, 269, 5516, 326, 1392, 610, 3610, 1934, 2285, 7850, 5054, 602, 616, 3090, 3638, 543, 4277, 1510, 1373, 11566, 547, 12256, 543, 20854, 269, 4634, 519, 14724, 5385, 3587, 513, 7924, 3992, 950, 621, 1331, 609, 2262, 267, 741, 2035, 267, 543, 5310, 513, 8642, 3090, 563, 24154, 3913, 600, 6258, 902, 2038, 1032, 779, 6437, 547, 581, 5402, 11295, 1547, 1103, 602, 2497, 972, 1058, 581, 1614, 1796, 281, 8894, 272, 269, 3038, 1707, 585, 519, 1114, 4358, 2798, 689, 799, 1453, 1020, 741, 1565, 12500, 340, 4979, 593, 1018, 789, 666, 2907, 798, 563, 273, 269, 31999, 543, 3617, 1543, 799, 13292, 519, 1114, 2157, 540, 1762, 1453, 779, 2115, 563, 274, 269, 4858, 3913, 600, 700, 518, 534, 902, 9709, 543, 3483, 995, 2534, 799, 2488, 3255, 585, 3450, 543, 561, 518, 534, 902, 1312, 16280, 543, 13964, 563, 24154, 3913, 600, 700, 518, 534, 902, 2488, 1739, 1129, 547, 1118, 2386, 707, 1126, 538, 513, 1434, 4928, 281, 8894, 272, 269, 5753, 779, 6108, 1034, 540, 741, 942, 4730, 543, 2324, 609, 2326, 610, 824, 1453, 779, 1547, 5445, 798, 711, 32603, 2832, 8393, 543, 789, 616, 711, 4397, 547, 1694, 23900, 585, 1279, 5712, 540, 942, 563, 273, 269, 5753, 779, 723, 1569, 547, 1585, 2238, 2429, 519, 1554, 269, 6733, 585, 1028, 9285, 2679, 7161, 543, 824, 4070, 2326, 267, 605, 1186, 585, 27642, 1404, 4605, 267, 2835, 267, 19267, 543, 3349, 9162, 971, 607, 12805, 3756, 267, 890, 326, 4604, 543, 13410, 269, 2353, 519, 1453, 1058, 711, 8209, 782, 581, 3257, 519, 1482, 2534, 693, 519, 1482, 942, 563, 274, 269, 11334, 960, 609, 1367, 1453, 1507, 2516, 543, 519, 2898, 1895, 693, 1114, 2053, 1282, 519, 1554, 563, 6524, 862, 1746, 547, 32296, 513, 3593, 267, 5225, 1224, 519, 8881, 9669, 8525, 563, 2005, 568, 10691, 21453, 547, 3346, 713, 16968, 609, 5010, 4690, 563, 24154, 3913, 600, 561, 518, 22135, 1970, 593, 1942, 543, 1164, 593, 2132, 267, 26232, 684, 534, 26196, 267, 670, 776, 3570, 267, 6355, 19662, 267, 17012, 577, 2478, 0, 305, 3711, 27175, 1797, 4552, 344, 269, 1809, 621, 568, 711, 3662, 610, 1480, 269, 681, 3711, 27175, 568, 4829, 282, 4829, 602, 568, 4122, 17696, 538, 12868, 563, 763, 4829, 2731, 814, 4552, 269, 634, 2450, 540, 986, 3387, 27175, 568, 607, 2462, 607, 623, 532, 6261, 784, 3440, 269, 634, 14169, 540, 986, 3387, 27175, 568, 267, 519, 9018, 4494, 568, 519, 2960, 269, 634, 2960, 568, 5394, 267, 543, 1114, 899, 11945, 267, 649, 1810, 1406, 3548, 519, 2960, 269, 634, 1647, 4494, 568, 519, 4829, 621, 1582, 267, 930, 3099, 814, 5277, 538, 1647, 4494, 543, 930, 616, 711, 269, 634, 1152, 649, 666, 3548, 568, 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 ]
[ 28384, 332, 698, 8872, 543, 4309, 621, 593, 707, 7450, 21163, 1863, 540, 5279, 269, 0, 20464, 476, 1321, 267, 476, 1708, 274, 454, 307, 615, 7356, 8710, 4187, 568, 519, 2702, 540, 513, 4396, 547, 16641, 6727, 2242, 538, 2837, 2901, 1282, 8022, 610, 9023, 269, 26365, 8710, 4187, 1058, 581, 2808, 950, 7446, 32466, 3435, 585, 1082, 6080, 563, 13706, 519, 7738, 1184, 693, 513, 1426, 4393, 9744, 269, 634, 6989, 1223, 581, 693, 476, 3374, 13790, 543, 18233, 1524, 609, 1164, 13463, 520, 1216, 693, 476, 6977, 13790, 1216, 269, 2334, 476, 5611, 4113, 3017, 786, 8710, 519, 6989, 563, 6624, 32466, 3435, 786, 3111, 538, 891, 2175, 269, 12443, 4211, 516, 974, 10378, 729, 19775, 585, 5140, 8143, 8710, 4187, 543, 8143, 15203, 563, 28139, 4211, 516, 974, 666, 4783, 1063, 910, 1911, 13790, 543, 476, 13136, 13790, 1510, 3390, 269, 630, 22977, 20293, 2447, 31559, 4043, 547, 11523, 538, 891, 2175, 8094, 28139, 4211, 516, 974, 849, 814, 513, 1164, 13463, 520, 10892, 282, 4470, 593, 519, 1062, 621, 666, 581, 6534, 23557, 1836, 547, 476, 4968, 13790, 267, 476, 12573, 13790, 610, 476, 6110, 13790, 563, 9596, 811, 676, 2542, 281, 968, 1432, 568, 26365, 1744, 1442, 1763, 9665, 4469, 334, 1681, 9495 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 339, 5281, 513, 1347, 18503, 547, 513, 2037, 7950, 19617, 454, 3698, 5750, 14535, 580, 263, 577, 2433, 1193, 2187, 825, 2132, 2037, 7950, 19617, 263, 867, 263, 577, 264, 910, 3921, 3488, 288, 10807, 2020, 258, 5319, 7950, 19617, 267, 1775, 4318, 269, 606, 19605, 1895, 540, 1931, 476, 2918, 454, 258, 10472, 1935, 568, 811, 7294, 267, 855, 811, 2489, 538, 519, 2631, 540, 454, 258, 7424, 6905, 547, 15768, 2361, 454, 5035, 2037, 7950, 19617, 24998, 2187, 825, 9041, 7407, 815, 476, 271, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 17750, 281, 703, 2187, 1038, 1582, 11519, 7407, 815, 1871, 17750, 4939, 13673, 5456, 7246, 318, 16704, 2207, 454, 825, 1948, 541, 10379, 4238, 454, 825, 1219, 6449, 10864, 9191, 1345, 2187, 1038, 2132, 2037, 7950, 19617, 263, 2894, 5456, 7246, 318, 16704, 2207, 910, 1582, 11519, 7407, 994, 825, 1219, 6449, 5417, 9191, 1345, 267, 1003, 2187, 1038, 2132, 2037, 7950, 19617, 4311, 11519, 7407, 1341, 1003, 11519, 7407, 994, 825, 1219, 6449, 11357, 9191, 1345, 267, 1003, 2187, 1038, 2132, 2037, 7950, 19617, 4311, 11519, 7407, 910, 1003, 11519, 7407, 994, 825, 1948, 1729, 946, 8675, 454, 825, 1219, 6449, 18091, 9191, 1345, 267, 1003, 2187, 1038, 2132, 630, 1345, 11519, 7407, 2525, 11133, 11519, 7407, 994, 825, 1219, 6449, 322, 5404, 9191, 1345, 267, 11133, 2187, 1038, 2132, 630, 1345, 27841, 910, 1003, 11519, 7407, 994, 825, 1948, 332, 755, 581, 3989, 547, 581, 1031, 607, 1883, 540, 8675, 454, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 1038, 2132, 1582, 11519, 7407, 454, 825, 1948, 1721, 1820, 454, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 1038, 2132, 834, 346, 271, 348, 2668, 8971, 4311, 11519, 7407, 994, 8931, 825, 1219, 547, 10420, 4311, 2187, 1038, 1948, 867, 3488, 288, 10807, 568, 476, 4792, 454, 1038, 2132, 669, 337, 263, 4792, 1341, 1582, 11519, 7407, 2020, 258, 335, 6372, 1799, 17014, 6388, 540, 2037, 7950, 269, 1809, 3217, 3476, 942, 454, 258, 25585, 31170, 286, 888, 258, 5035, 2037, 7950, 19617, 24998, 2187, 258, 825, 6449, 16435, 1824, 1029, 815, 22373, 318, 7407, 31116, 258, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 17750, 281, 703, 815, 476, 271, 2187, 258, 1038, 2706, 263, 5319, 7950, 19617, 267, 1582, 1040, 1029, 3553, 3430, 337, 1029, 2891, 318, 7407, 2580, 1871, 17750, 4939, 13673, 5456, 7246, 318, 16704, 2207, 994, 258, 13872, 258, 825, 1219, 6449, 3553, 3430, 337, 9191, 1345, 267, 2012, 267, 1871, 2187, 258, 1038, 5727, 12163, 258, 1038, 20444, 326, 815, 834, 262, 260, 338, 262, 814, 1100, 14487, 4939, 338, 257, 4939, 630, 1345, 14857, 5035, 1029, 267, 2012, 994, 258, 1038, 6318, 5900, 25572, 13286, 263, 916, 326, 994, 258, 825, 1948, 541, 10379, 4238, 454, 258, 825, 1219, 6449, 10864, 9191, 1345, 2187, 258, 1038, 2132, 2037, 7950, 19617, 263, 2894, 5456, 7246, 318, 16704, 2207, 910, 1582, 11519, 7407, 994, 258, 825, 1219, 6449, 5417, 9191, 1345, 267, 1003, 2187, 258, 1038, 2132, 2037, 7950, 19617, 4311, 11519, 7407, 1341, 1003, 11519, 7407, 994, 258, 825, 1219, 6449, 11357, 9191, 1345, 267, 1003, 2187, 258, 1038, 2132, 2037, 7950, 19617, 4311, 11519, 7407, 910, 1003, 11519, 7407, 994, 258, 825, 1948, 1729, 946, 8675, 454, 258, 825, 1219, 6449, 18091, 9191, 1345, 267, 1003, 2187, 258, 1038, 2132, 630, 1345, 11519, 7407, 2525, 11133, 11519, 7407, 994, 258, 825, 1219, 6449, 322, 5404, 9191, 1345, 267, 11133, 2187, 258, 1038, 2132, 630, 1345, 27841, 910, 1003, 11519, 7407, 994, 258, 825, 1948, 332, 755, 581, 3989, 547, 581, 1031, 607, 1883, 540, 8675, 454, 258, 825, 1219, 6449, 327, 1662, 9191, 1345, 2187, 258, 1038, 2132, 1582, 11519, 7407, 454, 258, 825, 1948, 1721, 1820, 454, 258, 825, 1219, 6449, 1598, 9191, 1345, 264, 9847, 1193, 912, 258, 1038, 2132, 834, 346, 271, 348, 2668, 8971, 4311, 11519, 7407, 994, 258, 8931, 258, 825, 1219, 547, 10420, 4311, 2187, 258, 1038, 1948, 867, 3488, 288, 10807, 568, 476, 4792, 454, 258, 1038, 2132, 669, 337, 263, 4792, 1341, 1582, 11519, 7407, 994, 672, 7531, 258, 19668, 1362, 585, 4232, 832, 267, 2992, 832, 543, 11690, 15236, 454, 258, 26238, 789, 616, 782, 930, 2186, 540, 4484, 18839, 454, 258, 1877, 649, 946, 519, 1362, 2037, 7950, 19617, 3079, 540, 5022, 454, 5035, 15240, 3191, 290, 8327, 912, 825, 1948, 1721, 1383, 267, 952, 519, 5569, 568, 589, 4488, 289, 5263, 454, 825, 1948, 6533, 519, 1016, 3349, 7140, 589, 547, 589, 267, 645, 547, 661, 267, 595, 547, 595, 267, 667, 547, 645, 267, 661, 547, 667, 543, 674, 547, 674, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 1016, 18425, 318, 10420, 2433, 1193, 2187, 1038, 23301, 318, 21639, 815, 1016, 18425, 318, 10420, 269, 21639, 4590, 1038, 952, 1582, 11519, 13765, 4671, 762, 318, 4621, 29548, 263, 8527, 528, 318, 21639, 264, 2525, 12148, 912, 2018, 1948, 867, 3488, 288, 10807, 568, 476, 4792, 454, 2018, 1948, 11357, 560, 3482, 3349, 454, 2018, 1582, 11519, 14456, 476, 815, 2715, 5319, 7950, 19617, 9217, 264, 2433, 2037, 7950, 19617, 263, 867, 263, 8527, 528, 318, 21639, 5157, 8079, 910, 476, 4792, 264, 585, 1775, 538, 2039, 263, 2894, 5456, 7246, 318, 16704, 2207, 264, 8679, 1038, 3116, 912, 2018, 19523, 20216, 527, 2891, 11357, 560, 3191, 3349, 11007, 3390, 5602, 825, 1948, 11357, 560, 3363, 593, 2037, 7950, 19617, 547, 1776, 13872, 825, 1219, 12990, 4311, 267, 679, 580, 2006, 636, 2433, 2037, 7950, 19617, 264, 9847, 2037, 7950, 19617, 912, 1038, 2132, 1582, 11519, 14456, 314, 523, 580, 2006, 636, 6540, 825, 1219, 9041, 13765, 4671, 762, 318, 4621, 29548, 4311, 267, 1016, 18425, 318, 10420, 2433, 1193, 264, 9847, 536, 944, 912, 1038, 1948, 1721, 513, 18839, 267, 649, 1590, 10018, 602, 1142, 4484, 5526, 1152, 2899, 454, 1038, 10917, 18380, 815, 2715, 577, 337, 263, 867, 3488, 288, 10807, 266, 328, 264, 2433, 476, 271, 585, 1775, 538, 2039, 263, 2894, 5456, 7246, 318, 16704, 2207, 264, 8679, 1038, 585, 1347, 538, 1016, 18425, 318, 10420, 912, 2018, 10917, 18380, 314, 10420, 316, 6834, 476, 272, 454, 1038, 1948, 12248, 875, 1082, 2053, 513, 4484, 5526, 454, 1038, 952, 7003, 6025, 11391, 18380, 264, 2652, 13673, 5456, 7246, 318, 16704, 2207, 912, 2018, 585, 1883, 267, 1871, 538, 10917, 18380, 29096, 10031, 3546, 952, 1871, 13843, 476, 273, 912, 7386, 1820, 2891, 706, 12393, 834, 266, 4486, 994, 7386, 2132, 8771, 454, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 1820, 2891, 342, 3994, 3403, 540, 18839, 3349, 5602, 2018, 2132, 8771, 692, 258, 680, 1872, 4580, 23396, 6292, 540, 5022, 454, 258, 514, 1686, 519, 1297, 540, 8424, 568, 476, 275, 547, 476, 1015, 454, 258, 6011, 1197, 519, 1297, 540, 8424, 568, 711, 11658, 1934, 454, 5035, 623, 29888, 32317, 263, 27802, 3191, 290, 8327, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1016, 18425, 318, 10420, 2433, 1193, 2187, 1038, 15240, 3191, 290, 8327, 14857, 8181, 9191, 1345, 267, 1016, 18425, 318, 10420, 994, 825, 1219, 9041, 13765, 4671, 762, 318, 4621, 29548, 4311, 267, 1016, 18425, 318, 10420, 2433, 1193, 264, 9847, 536, 944, 912, 1038, 952, 2706, 27456, 29888, 32317, 267, 1582, 1040, 318, 13765, 4671, 762, 318, 4621, 29548, 4433, 889, 18425, 318, 10420, 264, 2652, 8771, 912, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 10917, 18380, 815, 2715, 577, 337, 263, 867, 3488, 288, 10807, 266, 328, 264, 2433, 1016, 18425, 318, 10420, 5157, 316, 585, 1775, 538, 2039, 263, 2894, 5456, 7246, 318, 16704, 2207, 264, 8679, 2018, 585, 1883, 267, 1871, 538, 10917, 18380, 29096, 10031, 3546, 1948, 1873, 6260, 1079, 5022, 7466, 1797, 3257, 4986, 454, 3546, 952, 1883, 11203, 10917, 18380, 314, 7407, 14158, 7386, 1820, 31107, 266, 257, 543, 834, 266, 7407, 266, 257, 616, 711, 2220, 11474, 538, 11690, 4580, 5602, 7386, 2132, 8771, 454, 2018, 2132, 6936, 692, 258, 10915, 937, 528, 23396, 6292, 540, 5022, 454, 258, 514, 1686, 519, 1297, 540, 8424, 476, 1724, 454, 258, 6011, 1197, 519, 1297, 540, 8424, 568, 711, 11658, 1934, 454, 258, 9690, 569, 519, 2992, 528, 568, 519, 1482, 609, 11690, 4580, 454, 258, 933, 949, 1039, 10047, 1599, 547, 621, 2663, 454, 5035, 14484, 528, 263, 27802, 3191, 290, 8327, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1016, 18425, 318, 10420, 2433, 1193, 2187, 1038, 15240, 3191, 290, 8327, 14857, 8181, 9191, 1345, 267, 1016, 18425, 318, 10420, 994, 825, 1219, 9041, 13765, 4671, 762, 318, 4621, 29548, 4311, 267, 1016, 18425, 318, 10420, 2433, 1193, 264, 9847, 536, 944, 912, 1038, 952, 2706, 263, 8269, 937, 528, 267, 1582, 1040, 318, 13765, 4671, 762, 318, 4621, 29548, 4433, 889, 18425, 318, 10420, 264, 2652, 8771, 912, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 10917, 18380, 815, 2715, 577, 337, 263, 867, 3488, 288, 10807, 266, 328, 264, 2433, 1016, 18425, 318, 10420, 5157, 316, 585, 1775, 538, 2039, 263, 2894, 5456, 7246, 318, 16704, 2207, 264, 8679, 2018, 1948, 1873, 6260, 1079, 5022, 7466, 1797, 3257, 4986, 454, 2018, 585, 1883, 267, 1871, 538, 10917, 18380, 29096, 10031, 3546, 952, 1883, 11203, 10917, 18380, 314, 7407, 14158, 7386, 1820, 31107, 266, 257, 543, 834, 266, 7407, 266, 257, 616, 711, 2220, 11474, 538, 11690, 4580, 5602, 7386, 2132, 8771, 454, 2018, 2132, 6936, 454, 1363, 3097, 258, 8527, 832, 1223, 798, 1022, 1979, 11187, 11837, 454, 258, 11004, 1150, 513, 18807, 3349, 568, 849, 2877, 454, 258, 8527, 566, 568, 519, 1883, 4183, 540, 4232, 832, 454, 5035, 15585, 528, 263, 27802, 3191, 290, 8327, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 5911, 4671, 762, 18425, 318, 10420, 2433, 1193, 2187, 1038, 15240, 3191, 290, 8327, 14857, 8181, 9191, 1345, 267, 5911, 4671, 762, 18425, 318, 10420, 994, 1038, 23301, 318, 21639, 815, 5911, 4671, 762, 18425, 318, 10420, 269, 21639, 4590, 1038, 1948, 318, 14456, 14574, 875, 547, 12990, 1354, 519, 2992, 528, 454, 1038, 1948, 318, 14456, 318, 3724, 14574, 875, 547, 12990, 1310, 519, 2992, 528, 454, 1038, 1582, 11519, 14456, 318, 3724, 815, 2715, 5319, 7950, 19617, 263, 867, 263, 8527, 528, 318, 21639, 5157, 8079, 910, 476, 4792, 264, 2433, 2037, 7950, 19617, 9217, 264, 585, 1775, 538, 2039, 263, 2894, 5456, 7246, 318, 16704, 2207, 264, 8679, 1038, 1582, 14857, 1842, 815, 2037, 7950, 19617, 263, 271, 994, 13872, 825, 1219, 1305, 318, 6570, 4311, 267, 679, 580, 2006, 636, 2187, 1038, 1582, 14857, 1842, 815, 679, 580, 2006, 636, 454, 825, 1219, 1397, 318, 6570, 4311, 2187, 1038, 2132, 1582, 14857, 1842, 454, 825, 1948, 326, 633, 606, 3403, 267, 2490, 621, 883, 1776, 1297, 454, 825, 1948, 14537, 2856, 540, 13673, 5456, 7246, 454, 825, 1948, 928, 539, 5595, 2638, 454, 825, 1219, 12990, 4311, 267, 679, 580, 2006, 636, 2433, 2037, 7950, 19617, 264, 9847, 2037, 7950, 19617, 912, 1038, 2132, 1582, 11519, 14456, 314, 523, 580, 2006, 636, 1341, 1582, 14857, 1842, 2639, 825, 1219, 12990, 318, 3724, 4311, 267, 679, 580, 2006, 636, 2187, 1038, 2132, 1582, 11519, 14456, 318, 3724, 314, 523, 580, 2006, 636, 316, 910, 1582, 14857, 1842, 454, 825, 1948, 8527, 622, 519, 23301, 267, 543, 2132, 513, 536, 944, 1871, 547, 3313, 2436, 547, 17967, 1985, 23301, 454, 825, 1219, 17967, 4311, 2187, 1038, 1582, 14857, 1842, 815, 1582, 14857, 1842, 1341, 2037, 7950, 19617, 263, 272, 994, 1038, 952, 1582, 14857, 1842, 2652, 2037, 7950, 19617, 263, 271, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 1363, 7531, 8527, 528, 25292, 815, 31460, 8527, 528, 25292, 14277, 2975, 19312, 815, 834, 19699, 307, 16703, 6579, 305, 308, 312, 304, 301, 298, 25539, 297, 7563, 313, 21990, 294, 311, 15121, 309, 4840, 8527, 528, 25292, 14277, 2862, 290, 19312, 815, 834, 295, 304, 313, 25897, 297, 307, 19616, 13993, 301, 5746, 293, 291, 312, 288, 310, 12717, 4785, 305, 298, 311, 4840, 8527, 528, 25292, 14277, 2862, 2975, 19312, 815, 834, 308, 304, 18199, 11862, 313, 30820, 3918, 295, 7894, 311, 298, 29368, 309, 312, 294, 297, 290, 310, 29151, 5016, 454, 8527, 528, 25292, 14277, 305, 12714, 16927, 19312, 815, 834, 297, 31270, 304, 302, 311, 4785, 290, 4456, 9281, 305, 309, 9143, 301, 11246, 298, 13993, 313, 312, 295, 4840, 8527, 528, 25292, 14277, 305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14510, 543, 1582, 14857, 16447, 314, 984, 560, 12386, 14729, 266, 327, 6012, 984, 560, 12386, 13448, 266, 342, 316, 2652, 661, 6573, 31159, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 912, 23351, 1582, 14857, 16447, 314, 984, 560, 12386, 14729, 1341, 554, 6012, 984, 560, 12386, 13448, 1341, 530, 316, 815, 28267, 4306, 3722, 4041, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 692, 1038, 10278, 13448, 815, 28219, 9792, 263, 271, 267, 1582, 14857, 12296, 994, 1038, 10278, 14729, 815, 28219, 9792, 263, 271, 267, 1582, 14857, 19417, 994, 1038, 1582, 14857, 16447, 314, 323, 652, 1588, 14729, 6012, 323, 652, 1588, 13448, 316, 815, 23370, 2316, 2793, 3582, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 7531, 825, 1219, 1205, 318, 523, 1444, 318, 19066, 4311, 267, 1535, 281, 703, 267, 586, 281, 703, 2187, 1038, 5727, 17776, 6152, 540, 2418, 8204, 1604, 1472, 519, 1448, 630, 343, 267, 586, 264, 12163, 1038, 7682, 476, 271, 10922, 1535, 10922, 1582, 14857, 12296, 267, 1412, 289, 611, 1448, 10974, 7055, 1038, 7682, 476, 271, 10922, 586, 10922, 1582, 14857, 19417, 267, 1412, 289, 611, 1448, 10974, 28847, 1038, 26195, 318, 19066, 815, 1496, 15477, 4306, 3722, 4041, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 585, 1775, 538, 2039, 263, 280, 264, 6540, 1038, 952, 586, 910, 476, 272, 13843, 476, 271, 912, 2018, 585, 1775, 538, 2039, 8987, 272, 267, 476, 273, 267, 476, 272, 2187, 3546, 952, 476, 271, 10922, 1535, 1341, 1775, 2999, 1582, 14857, 12296, 912, 7386, 26195, 318, 19066, 5157, 1341, 476, 272, 316, 815, 1582, 14857, 16447, 314, 344, 910, 476, 272, 6012, 343, 1341, 1775, 6540, 1038, 585, 1775, 538, 2039, 8987, 272, 267, 476, 273, 267, 476, 272, 2187, 2018, 952, 476, 271, 10922, 1535, 1341, 1775, 2999, 1582, 14857, 12296, 912, 3546, 26195, 318, 19066, 5157, 1341, 476, 275, 316, 815, 1582, 14857, 16447, 314, 344, 6012, 343, 1341, 1775, 6540, 1038, 952, 586, 1341, 476, 272, 2999, 1582, 14857, 19417, 912, 2018, 585, 1775, 538, 2039, 8987, 272, 267, 476, 273, 267, 476, 272, 2187, 3546, 952, 476, 271, 10922, 1535, 1341, 1775, 2999, 1582, 14857, 12296, 912, 7386, 26195, 318, 19066, 5157, 1341, 476, 278, 316, 815, 1582, 14857, 16447, 314, 344, 1341, 476, 272, 6012, 343, 1341, 1775, 6540, 1038, 2132, 26195, 318, 19066, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5727, 5581, 875, 1158, 1058, 581, 3254, 607, 5569, 8173, 1038, 1158, 318, 553, 23952, 815, 834, 4840, 1038, 585, 1158, 32284, 538, 1582, 14857, 16447, 912, 2018, 4737, 815, 834, 4840, 2018, 585, 2361, 538, 1158, 32284, 912, 3546, 952, 2361, 2652, 28267, 4306, 3722, 4041, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 912, 7386, 4737, 6834, 834, 258, 27029, 3546, 8640, 2361, 2652, 23370, 2316, 2793, 3582, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 912, 7386, 4737, 6834, 834, 259, 27029, 3546, 8640, 2361, 2652, 17985, 7728, 318, 293, 296, 5085, 291, 318, 309, 3201, 16604, 912, 7386, 4737, 6834, 834, 288, 27029, 3546, 3116, 912, 7386, 4737, 6834, 834, 269, 27029, 2018, 1158, 318, 553, 23952, 6834, 4737, 1341, 1412, 315, 333, 7055, 1038, 2132, 1158, 318, 553, 23952, 692, 825, 1219, 1305, 318, 12296, 4311, 267, 8700, 281, 703, 2187, 1038, 5727, 5590, 1007, 1158, 8700, 8173, 1038, 7682, 8700, 3436, 476, 271, 267, 1412, 13328, 8700, 814, 547, 581, 2318, 1871, 7055, 1038, 1582, 14857, 12296, 815, 8700, 692, 825, 1219, 1305, 318, 19417, 4311, 267, 4463, 281, 703, 2187, 1038, 5727, 5590, 1007, 1158, 8700, 8173, 1038, 7682, 4463, 3436, 476, 271, 267, 1412, 13328, 4463, 814, 547, 581, 2318, 1871, 7055, 1038, 1582, 14857, 19417, 815, 4463, 692, 825, 1219, 1305, 318, 26047, 318, 4812, 4311, 267, 1448, 281, 24042, 27776, 267, 703, 316, 2187, 1038, 5727, 5590, 1007, 8665, 1448, 10974, 8173, 1038, 7682, 476, 271, 10922, 1448, 314, 271, 316, 2999, 1582, 14857, 12296, 267, 1412, 288, 7217, 1448, 814, 3983, 10974, 7055, 1038, 7682, 476, 271, 10922, 1448, 314, 272, 316, 2999, 1582, 14857, 19417, 267, 1412, 288, 7217, 1448, 814, 3983, 10974, 7055, 1038, 1582, 14857, 26047, 13448, 815, 1448, 314, 271, 2639, 1038, 1582, 14857, 26047, 14729, 815, 1448, 314, 272, 6540, 825, 1219, 1205, 318, 4812, 4311, 267, 1535, 281, 703, 267, 586, 281, 703, 2187, 1038, 5727, 17776, 1448, 689, 3014, 1158, 8173, 1038, 7682, 476, 271, 10922, 1535, 2999, 1582, 14857, 12296, 267, 1412, 11592, 3564, 519, 1158, 7055, 1038, 7682, 476, 271, 10922, 586, 2999, 1582, 14857, 19417, 267, 1412, 11592, 3564, 519, 1158, 7055, 1038, 2132, 1582, 14857, 16447, 314, 344, 6012, 343, 6540, 825, 1219, 1205, 318, 26047, 318, 4812, 4311, 2187, 1038, 5727, 17776, 8665, 1448, 10974, 607, 513, 24042, 8173, 1038, 2132, 1582, 14857, 26047, 13448, 267, 1582, 14857, 26047, 14729, 692, 825, 1219, 1205, 318, 12296, 4311, 2187, 1038, 5727, 17776, 1158, 8700, 8173, 1038, 2132, 1582, 14857, 12296, 692, 825, 1219, 1205, 318, 19417, 4311, 2187, 1038, 5727, 17776, 1158, 4463, 8173, 1038, 2132, 1582, 14857, 19417, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1449, 16062, 5454, 815, 2622, 263, 736, 267, 476, 736, 994, 825, 1820, 6025, 652, 16062, 5454, 994, 825, 1820, 6025, 652, 16062, 5454, 10947, 318, 523, 1444, 318, 19066, 263, 276, 267, 476, 276, 4917, 825, 1820, 6025, 652, 16062, 5454, 10947, 318, 523, 1444, 318, 19066, 263, 271, 267, 476, 271, 4917, 825, 1820, 6025, 652, 16062, 5454, 10947, 318, 523, 1444, 318, 19066, 263, 866, 267, 476, 866, 4917, 825, 1820, 6025, 652, 16062, 5454, 10947, 318, 523, 1444, 318, 19066, 263, 271, 267, 476, 866, 4917, 825, 1820, 6025, 652, 16062, 5454, 10947, 318, 523, 1444, 318, 19066, 263, 866, 267, 476, 271, 4917, 0, 5814, 27368, 454, 5228, 27368, 4732, 335, 1679, 1104, 1975, 1679, 7531, 5035, 1325, 1329, 263, 8967, 1679, 2187, 825, 5727, 12218, 8204, 513, 2582, 9813, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 513, 328, 14682, 877, 2187, 1038, 5727, 22873, 658, 1125, 606, 9813, 543, 1305, 1010, 3355, 2990, 12163, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 4732, 10547, 815, 513, 328, 14682, 877, 4732, 10547, 454, 1038, 1582, 15630, 14005, 815, 513, 328, 14682, 877, 15630, 14005, 692, 1038, 1948, 20509, 9813, 3239, 543, 1305, 1412, 5550, 262, 14487, 454, 1038, 1582, 269, 13548, 815, 27368, 269, 13548, 269, 2903, 3488, 30502, 270, 531, 1329, 26666, 5073, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 10797, 1038, 1948, 5272, 1007, 9813, 5526, 538, 519, 5580, 2451, 7944, 540, 519, 5496, 454, 1038, 1582, 269, 5550, 11859, 815, 1582, 269, 5550, 9884, 5954, 454, 1038, 1582, 269, 5550, 13885, 815, 1582, 269, 5550, 269, 19417, 692, 1038, 1948, 16440, 3169, 8880, 2990, 540, 606, 9813, 454, 1038, 1582, 11859, 815, 10581, 4311, 269, 5550, 11859, 2020, 825, 1219, 2638, 318, 539, 2471, 4311, 2187, 1038, 5727, 14303, 5281, 6936, 952, 9813, 568, 693, 519, 5496, 8473, 12163, 1038, 5496, 318, 5550, 815, 1582, 4732, 10547, 10947, 318, 5550, 4590, 1038, 952, 1582, 269, 5550, 16192, 13843, 5496, 318, 5550, 16192, 610, 1582, 269, 5550, 16000, 10922, 476, 271, 912, 2018, 2132, 6936, 692, 825, 1219, 9337, 4311, 2187, 1038, 5727, 300, 7174, 606, 9813, 547, 519, 1318, 543, 547, 519, 2451, 12163, 1038, 1582, 11859, 6834, 1582, 15630, 14005, 269, 531, 1329, 5334, 32497, 2608, 1582, 15630, 14005, 8807, 548, 564, 5091, 3925, 454, 1038, 1582, 269, 5550, 11859, 815, 1582, 11859, 454, 0, 5814, 2979, 454, 5814, 4351, 692, 3698, 6460, 2414, 305, 16412, 30415, 2187, 825, 678, 21803, 267, 575, 21803, 267, 536, 21803, 815, 5569, 314, 271, 281, 279, 3910, 5569, 314, 279, 281, 1626, 3910, 5569, 314, 1626, 281, 316, 1948, 19702, 1963, 8066, 476, 279, 11353, 829, 2681, 630, 337, 267, 326, 14720, 994, 825, 678, 326, 321, 18360, 902, 815, 1496, 337, 21803, 267, 575, 21803, 267, 536, 21803, 316, 1948, 4289, 540, 1142, 2681, 781, 3787, 1871, 454, 825, 952, 263, 6943, 30415, 264, 568, 1193, 2567, 1948, 604, 519, 3403, 568, 513, 5569, 454, 1038, 678, 326, 321, 11749, 1132, 815, 1496, 8999, 8443, 4118, 4877, 578, 263, 273, 267, 586, 264, 585, 586, 538, 2039, 12759, 3287, 4297, 952, 1535, 15631, 263, 344, 266, 272, 13580, 2652, 1412, 272, 262, 8079, 585, 1535, 538, 678, 326, 321, 18360, 902, 2639, 1038, 1948, 14725, 23651, 998, 519, 5569, 543, 2040, 519, 2418, 1141, 972, 616, 476, 272, 11353, 547, 6460, 689, 9352, 547, 3490, 476, 1015, 454, 825, 3116, 912, 1038, 678, 326, 321, 11749, 1132, 815, 1496, 8999, 8443, 4118, 4877, 578, 263, 273, 267, 586, 264, 585, 586, 538, 2039, 12759, 3287, 4297, 952, 1535, 15631, 263, 344, 266, 272, 13580, 2652, 476, 272, 8079, 585, 1535, 538, 678, 326, 321, 18360, 902, 2639, 1038, 1948, 4777, 519, 1482, 607, 1657, 4849, 950, 519, 3403, 568, 711, 513, 5569, 855, 513, 1592, 540, 2338, 454, 825, 2132, 678, 326, 321, 11749, 1132, 692, 3698, 1205, 293, 5893, 263, 577, 668, 25593, 305, 16412, 267, 3077, 305, 16412, 2187, 825, 2132, 2979, 28460, 263, 4118, 4877, 578, 9230, 339, 13759, 305, 16412, 314, 271, 316, 910, 15694, 305, 16412, 314, 271, 25818, 273, 264, 1341, 2979, 4877, 578, 9230, 339, 13759, 305, 16412, 314, 272, 316, 910, 15694, 305, 16412, 314, 272, 25818, 273, 264, 1341, 2979, 4877, 578, 9230, 339, 13759, 305, 16412, 314, 273, 316, 910, 15694, 305, 16412, 314, 273, 25818, 273, 4917, 825, 1948, 1492, 476, 274, 8820, 552, 16090, 22470, 3845, 4542, 2016, 538, 519, 6780, 692, 3698, 5352, 16954, 1637, 16325, 2419, 668, 22199, 2187, 825, 1775, 815, 476, 271, 454, 825, 2551, 815, 11713, 825, 1247, 1775, 2999, 1003, 2419, 668, 22199, 281, 1948, 1729, 1711, 1142, 15694, 454, 1038, 2551, 6910, 8443, 8079, 1948, 6572, 606, 8900, 1592, 799, 786, 3180, 713, 15694, 781, 3787, 2418, 454, 1038, 585, 795, 538, 2039, 263, 2190, 2567, 1948, 1721, 1169, 3787, 538, 519, 15694, 454, 2018, 952, 4351, 20179, 3890, 3436, 476, 271, 269, 276, 281, 1948, 604, 519, 4351, 1297, 568, 1657, 1547, 276, 630, 1729, 2327, 3160, 5506, 540, 3478, 476, 272, 610, 476, 271, 994, 3546, 2551, 5157, 4940, 6572, 263, 272, 264, 1948, 6572, 513, 476, 272, 454, 2018, 3116, 281, 1948, 1278, 3772, 454, 3546, 2551, 5157, 4940, 6572, 263, 271, 264, 1948, 6572, 513, 476, 271, 454, 1038, 1775, 23785, 272, 454, 825, 2132, 2551, 1948, 8873, 2551, 281, 519, 1592, 540, 15954, 692, 3698, 31832, 20108, 9638, 641, 1637, 267, 1003, 290, 4592, 20108, 303, 4202, 2187, 825, 31832, 20108, 303, 4202, 815, 32582, 1948, 320, 1592, 540, 8913, 1255, 602, 3568, 31832, 20108, 8424, 602, 723, 2907, 1044, 2944, 454, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 1003, 290, 4592, 20108, 303, 4202, 281, 1948, 1721, 1169, 6292, 540, 15954, 547, 581, 18084, 936, 454, 1038, 669, 4435, 19340, 272, 267, 669, 4435, 19340, 273, 815, 29658, 15675, 9638, 641, 1637, 1070, 29658, 15675, 9638, 641, 1637, 994, 1038, 1948, 24708, 513, 4756, 609, 519, 4994, 540, 1142, 540, 519, 1079, 28219, 727, 569, 6383, 15954, 30455, 538, 2551, 454, 1038, 31832, 20108, 19340, 815, 4351, 27110, 263, 271, 267, 2537, 264, 1948, 1326, 519, 4351, 31832, 20108, 4994, 1141, 519, 15954, 786, 3444, 936, 454, 1038, 15694, 272, 267, 15694, 273, 815, 2551, 314, 577, 4435, 19340, 272, 3910, 2551, 314, 577, 4435, 19340, 273, 2639, 1038, 1948, 32697, 1142, 3312, 15694, 538, 4632, 454, 1038, 952, 630, 577, 4435, 19340, 272, 267, 669, 4435, 19340, 273, 264, 610, 630, 577, 4435, 19340, 273, 267, 669, 4435, 19340, 272, 264, 711, 538, 31832, 20108, 303, 4202, 912, 2018, 1948, 604, 519, 28219, 727, 569, 6383, 15694, 6292, 814, 711, 2907, 1044, 10272, 454, 2018, 2551, 314, 577, 4435, 19340, 272, 316, 815, 15694, 272, 11468, 322, 4592, 20108, 19340, 266, 272, 316, 1341, 15694, 273, 314, 322, 4592, 20108, 19340, 266, 272, 281, 2639, 2018, 1948, 1873, 3558, 519, 4395, 540, 15694, 272, 609, 602, 540, 15694, 273, 4470, 593, 922, 31832, 20108, 4994, 454, 2018, 2551, 314, 577, 4435, 19340, 273, 316, 815, 15694, 273, 11468, 322, 4592, 20108, 19340, 266, 272, 316, 1341, 15694, 272, 314, 322, 4592 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28720, 6527, 267, 543, 5356, 3929, 1489, 1282, 17173, 2053, 780, 27645, 4051, 1053, 693, 3506, 267, 9945, 267, 8021, 267, 15882, 267, 2228, 5867, 267, 610, 824, 3872, 5238, 269, 11334, 2671, 3407, 1702, 543, 7326, 267, 4543, 1762, 8186, 1332, 883, 3743, 4079, 5827, 540, 7700, 9797, 547, 2486, 269, 1403, 7705, 24714, 547, 1451, 827, 3047, 781, 2371, 267, 2831, 267, 4654, 267, 9821, 267, 610, 5389, 267, 1352, 1131, 1265, 513, 4116, 8348, 547, 3391, 1200, 3460, 780, 21691, 823, 10492, 17997, 4031, 543, 2226, 4708, 1369, 2950, 269, 1879, 10963, 2049, 267, 7128, 8495, 13685, 267, 5531, 2963, 267, 2243, 31268, 267, 543, 12840, 609, 21991, 12781, 547, 3142, 20737, 547, 5126, 269, 1635, 3257, 865, 267, 1876, 11268, 10986, 1711, 2922, 5054, 585, 7264, 543, 8436, 7567, 269, 14597, 7705, 14754, 513, 15539, 1063, 12543, 282, 10912, 2199, 8128, 1131, 2327, 9350, 6571, 1510, 15583, 566, 780, 27852, 325, 16146, 4688, 2729, 543, 3959, 12219, 676, 11642, 610, 18002, 5473, 13818, 2326, 269, 7981, 1242, 3937, 543, 2866, 5512, 16190, 6114, 547, 2149, 21127, 543, 24773, 880, 26428, 1354, 10825, 796, 19055, 2406, 269, 16874, 7705, 2938, 8673, 4947, 689, 513, 2679, 267, 32296, 23001, 16146, 1131, 16102, 7404, 3889, 543, 31269, 780, 14157, 2863, 32580, 4142, 6510, 741, 942, 267, 1648, 267, 543, 6791, 547, 2232, 10296, 1514, 2152, 267, 2508, 571, 1047, 585, 26988, 3123, 267, 610, 3274, 22937, 513, 1688, 16382, 2556, 269, 21816, 324, 1359, 2636, 8723, 1004, 547, 1118, 9058, 3604, 538, 9118, 2081, 269, 1403, 7705, 8068, 16445, 24401, 4979, 513, 6288, 781, 5898, 267, 16116, 621, 909, 9887, 610, 16461, 1746, 2828, 547, 6443, 1200, 2973, 5346, 11036, 24151, 15321, 1143, 780, 1103, 3932, 267, 7705, 1631, 6956, 4909, 3344, 540, 3047, 781, 1686, 267, 6848, 6384, 267, 543, 1898, 2146, 25961, 5107, 269, 2060, 7279, 533, 31985, 543, 22906, 5337, 1243, 267, 938, 31373, 14111, 3659, 23362, 17191, 2417, 3408, 540, 8103, 781, 10578, 13795, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12606, 2991, 634, 4425, 558, 769, 570, 4861, 7723, 1656, 7603, 727, 14151, 13207, 710, 769, 5375, 12754, 24104, 12070, 10767, 590, 2701, 653, 3205, 10022, 769, 3778, 1656, 28299, 454, 2254, 11744, 5021, 3527, 607, 513, 4647, 1310, 519, 22820, 568, 721, 547, 4308, 7426, 562, 1405, 547, 1312, 922, 13076, 543, 602, 3297, 621, 269, 4446, 32200, 543, 667, 12320, 718, 476, 1220, 276, 281, 476, 6321, 1040, 634, 4295, 1299, 2068, 814, 513, 22775, 762, 4567, 540, 713, 269, 1280, 3624, 267, 570, 1014, 534, 5443, 729, 513, 623, 9613, 569, 2487, 23811, 540, 713, 3020, 4082, 538, 2262, 2390, 519, 16431, 540, 1977, 3292, 269, 2352, 26350, 786, 3502, 1832, 4052, 538, 707, 4647, 1310, 519, 22820, 538, 19772, 7723, 543, 28478, 727, 513, 13252, 7771, 538, 540, 519, 10092, 596, 1412, 557, 1644, 269, 6787, 596, 616, 4824, 519, 2985, 610, 711, 267, 952, 596, 616, 707, 1991, 543, 954, 31398, 3477, 531, 7252, 711, 14026, 786, 1331, 13778, 2924, 602, 616, 4749, 585, 873, 269, 2353, 25832, 18669, 11762, 21111, 5516, 1299, 2657, 27084, 29619, 30144, 27999, 21618, 589, 19053, 291, 1047, 1162, 1299, 17148, 589, 19053, 307, 3949, 1299, 30332, 589, 19053, 291, 2607, 338, 1299, 4675, 6123, 589, 19053, 7343, 2002, 906, 15031, 1304, 1299, 6250, 3218, 6651, 289, 3739, 1299, 18222, 2237, 513, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16610, 1315, 9293, 1315, 7991, 6435, 619, 267, 547, 606, 9813, 3957, 7705, 602, 1175, 15354, 593, 3618, 543, 814, 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, 606, 9813, 609, 1100, 1702, 827, 3618, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 1684, 711, 1289, 7705, 606, 9813, 269, 0, 3848, 476, 277, 281, 634, 5020, 543, 3718, 540, 12253, 595, 269, 667, 3317, 9116, 910, 589, 27505, 518, 538, 15465, 3163, 543, 13898, 540, 9650, 692, 25405, 1408, 595, 269, 667, 3317, 9116, 267, 513, 4137, 9846, 6444, 1851, 519, 3056, 17024, 11451, 267, 814, 1500, 1713, 7418, 547, 1896, 4610, 267, 3226, 5042, 2257, 267, 6138, 540, 2247, 267, 543, 6138, 540, 4984, 269, 1306, 513, 7986, 16159, 267, 646, 4867, 5713, 607, 519, 1071, 1673, 1311, 528, 540, 519, 4741, 585, 15465, 5525, 543, 6585, 519, 2990, 540, 21388, 645, 269, 674, 2280, 7815, 7905, 540, 13898, 693, 16515, 30835, 2160, 269, 901, 3184, 786, 5490, 883, 667, 3317, 9116, 781, 1272, 267, 7214, 4282, 267, 543, 14262, 2093, 602, 9927, 938, 1620, 540, 9637, 267, 12105, 3069, 267, 543, 1863, 786, 269, 1284, 786, 849, 2263, 930, 30852, 1377, 539, 1996, 1010, 6436, 1247, 7234, 741, 6286, 585, 4207, 9840, 1369, 5042, 2257, 543, 6138, 540, 2247, 780, 25889, 543, 25827, 14118, 1878, 692, 29820, 593, 4728, 476, 2764, 267, 476, 3707, 273, 267, 667, 3317, 9116, 12236, 1010, 20277, 781, 4110, 538, 6138, 693, 12370, 2160, 538, 476, 3422, 274, 267, 4553, 676, 513, 1912, 6185, 269, 538, 6138, 693, 10228, 2160, 896, 519, 15569, 540, 12021, 14544, 808, 11482, 269, 21388, 538, 476, 3422, 276, 269, 4438, 1010, 942, 693, 10228, 267, 667, 3317, 9116, 2968, 7184, 5461, 538, 23316, 267, 799, 2663, 6766, 1010, 1935, 2509, 3384, 6436, 827, 1480, 17133, 543, 9637, 269, 1261, 3459, 3450, 693, 7054, 341, 710, 267, 4993, 267, 1141, 646, 11402, 13535, 6975, 667, 9445, 325, 639, 30867, 1278, 9565, 4137, 945, 13934, 5841, 4987, 630, 9590, 264, 1382, 1759, 593, 922, 16126, 593, 12985, 3631, 269, 1452, 2833, 5129, 2629, 5107, 538, 5935, 667, 3317, 9116, 781, 5380, 593, 5042, 2257, 543, 6138, 540, 2247, 780, 8256, 4109, 1145, 4112, 7134, 543, 13038, 30633, 338, 7844, 692, 291, 3317, 9116, 1101, 6591, 7839, 6284, 1739, 519, 8313, 540, 1010, 1433, 1412, 8256, 4109, 1145, 4112, 7134, 262, 538, 476, 1960, 272, 269, 2755, 5466, 2055, 4478, 6857, 1995, 267, 9837, 1275, 267, 543, 4018, 807, 267, 667, 3317, 9116, 6069, 519, 13038, 30633, 338, 7844, 30867, 4244, 2272, 547, 1312, 1487, 21063, 2168, 1143, 543, 31951, 12242, 1143, 269, 4340, 547, 713, 2203, 267, 972, 3884, 1405, 1022, 2582, 1747, 1572, 1412, 10940, 1145, 10086, 6862, 1281, 621, 7500, 899, 513, 8254, 13830, 2790, 2829, 8216, 24345, 269, 5502, 267, 1585, 17499, 3157, 4020, 938, 2790, 2729, 998, 3586, 11049, 543, 2847, 2358, 267, 2870, 2789, 31585, 540, 4641, 2864, 982, 2348, 835, 3803, 4528, 269, 1635, 3257, 865, 267, 667, 3317, 9116, 2591, 519, 2856, 540, 513, 19618, 1582, 543, 11363, 519, 2956, 540, 1893, 543, 6386, 538, 8108, 2123, 9163, 780, 18128, 1828, 267, 6490, 525, 267, 543, 8836, 28298, 692, 5194, 2565, 2460, 540, 667, 3317, 9116, 781, 960, 3322, 7311, 12105, 3741, 547, 2528, 543, 1509, 7497, 9789, 1353, 540, 2686, 6771, 3842, 1509, 525, 630, 28493, 540, 32649, 1040, 14301, 19320, 1063, 4719, 18472, 543, 2686, 18640, 267, 667, 3317, 9116, 29102, 602, 3425, 616, 711, 8806, 6211, 7919, 8032, 9003, 676, 6090, 282, 3079, 267, 789, 616, 1950, 1949, 4611, 689, 4205, 1063, 6090, 543, 1509, 525, 269, 769, 1010, 1433, 1412, 5804, 29318, 547, 29732, 543, 7982, 3299, 3370, 538, 476, 1001, 278, 267, 667, 3317, 9116, 11840, 730, 593, 875, 1509, 525, 1404, 1898, 5107, 538, 5935, 8186, 267, 5615, 267, 543, 7239, 269, 31379, 8044, 602, 1509, 7497, 8188, 27696, 2152, 2147, 547, 1346, 12735, 5224, 1914, 984, 5735, 543, 14543, 547, 1683, 7347, 3137, 3379, 547, 2757, 4485, 538, 1514, 9443, 269, 11048, 267, 667, 3317, 9116, 1202, 1235, 602, 6220, 1509, 7497, 3091, 4195, 4030, 883, 1620, 6946, 3347, 1063, 7350, 267, 2528, 267, 543, 17133, 780, 10403, 4024, 267, 10318, 24452, 267, 543, 3281, 520, 756, 559, 1143, 692, 9961, 1010, 4876, 267, 667, 3317, 9116, 7722, 25525, 3585, 538, 5717, 1472, 1863, 786, 543, 15002, 1143, 269, 1234, 915, 532, 2182, 15002, 1143, 543, 11309, 4115, 5784, 267, 646, 15156, 585, 10284, 756, 559, 1143, 9789, 3661, 602, 1863, 786, 543, 15002, 1143, 666, 30598, 1510, 27171, 269, 1280, 667, 3317, 9116, 267, 8066, 2043, 3743, 585, 741, 3527, 3085, 1405, 2154, 7947, 532, 15002, 2065, 4031, 12044, 519, 7122, 269, 5502, 267, 5837, 5539, 14340, 689, 5870, 1978, 7355, 971, 607, 1373, 7787, 8069, 5827, 540, 1818, 5483, 3664, 269, 6736, 6849, 9880, 3823, 1761, 31868, 2044, 19527, 2509, 3351, 9107, 7881, 610, 1256, 2612, 6295, 1004, 689, 16620, 1813, 547, 2825, 2188, 12018, 5079, 267, 667, 3317, 9116, 15387, 602, 9301, 9758, 8116, 3788, 4105, 585, 4509, 6198, 7239, 780, 3412, 4124, 543, 22627, 547, 7351, 12367, 692, 15703, 3344, 540, 667, 3317, 9116, 781, 960, 12969, 609, 5571, 7835, 1369, 5042, 2257, 543, 6138, 540, 2247, 269, 3689, 267, 1010, 8561, 593, 22993, 17133, 24889, 609, 15357, 22999, 4485, 19163, 602, 7103, 8362, 3337, 741, 5054, 1247, 15268, 547, 873, 269, 5822, 267, 3695, 8849, 31426, 540, 9637, 20383, 609, 5778, 27023, 881, 13753, 5275, 1732, 24300, 540, 2634, 3252, 5817, 6857, 2833, 269, 12059, 267, 6236, 5683, 7516, 540, 3642, 1646, 13462, 609, 3395, 4145, 936, 15725, 14628, 1949, 543, 4180, 12972, 1063, 3684, 2623, 543, 6848, 2418, 269, 7053, 267, 2502, 538, 1930, 19929, 827, 1863, 786, 543, 5837, 9021, 3587, 5051, 4143, 9624, 24567, 7760, 538, 5778, 23855, 3098, 543, 5444, 24737, 1746, 2553, 780, 6962, 692, 22013, 1324, 2620, 883, 519, 1272, 543, 1568, 540, 12253, 595, 269, 667, 3317, 9116, 2636, 721, 547, 5660, 711, 1152, 1010, 12316, 2093, 855, 849, 741, 7096, 3310, 593, 4207, 5042, 2257, 543, 6138, 540, 2247, 27964, 269, 3414, 11826, 31886, 543, 5499, 18747, 267, 667, 3317, 9116, 5170, 11319, 6302, 267, 4101, 10054, 267, 543, 1045, 580, 528, 908, 14046, 7391, 1472, 3844, 4798, 7282, 1480, 2470, 267, 9637, 267, 543, 8116, 269, 11569, 267, 21679, 609, 1010, 1008, 25607, 7682, 687, 735, 1564, 721, 547, 15260, 612, 6671, 7326, 543, 11942, 3209, 2081, 540, 3206, 827, 6000, 543, 519, 1158, 649, 9468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 14257, 476, 2420, 267, 476, 1001, 279, 454, 5978, 4793, 516, 517, 2985, 281, 8940, 4877, 11128, 517, 2593, 270, 3966, 10043, 4751, 563, 31819, 596, 1223, 991, 267, 1519, 6402, 547, 782, 540, 12253, 595, 269, 667, 3317, 9116, 779, 960, 267, 666, 581, 1336, 693, 8940, 31677, 3966, 10043, 4751, 2593, 256, 7490, 512, 11548, 721, 707, 4555, 693, 8940, 6745, 342, 7867, 2593, 270, 1492, 3966, 10043, 4751, 563, 1103, 519, 1913, 540, 589, 269, 595, 269, 22630, 1782, 267, 7905, 834, 25405, 1408, 595, 269, 667, 3317, 9116, 568, 5310, 519, 1034, 13747, 14544, 538, 519, 1158, 8487, 1103, 513, 476, 1001, 274, 1353, 676, 717, 2714, 12340, 321, 667, 18636, 933, 8814, 4659, 267, 7258, 15806, 23577, 19390, 2098, 1125, 330, 543, 8834, 590, 5424, 267, 12253, 667, 3317, 9116, 729, 19486, 10838, 519, 1283, 476, 276, 2518, 2219, 3401, 563, 25387, 519, 1071, 1673, 1311, 528, 540, 519, 4741, 585, 15465, 5525, 543, 519, 21388, 645, 269, 674, 2280, 7815, 7905, 540, 13898, 693, 16515, 30835, 2160, 267, 12253, 568, 1655, 1634, 585, 1010, 7418, 547, 5042, 2257, 267, 6138, 540, 2247, 543, 6138, 540, 4984, 269, 3571, 1568, 3117, 4109, 1145, 4112, 7134, 267, 16817, 779, 667, 836, 2730, 22830, 267, 27915, 519, 1975, 749, 543, 1010, 5767, 960, 267, 3245, 29318, 547, 29732, 543, 7982, 723, 1185, 606, 10373, 1764, 538, 519, 10600, 540, 6138, 543, 2257, 563, 2690, 1082, 267, 12253, 9324, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 15465, 3163, 1315, 13898, 540, 9650, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 20828, 540, 513, 5851, 16390, 20260, 286, 634, 3119, 3483, 540, 513, 5851, 16390, 20260, 568, 585, 12322, 547, 581, 4371, 18177, 585, 741, 2623, 1247, 3850, 3237, 547, 2226, 513, 10257, 2179, 540, 1852, 269, 589, 5851, 16390, 20260, 786, 4001, 12322, 602, 972, 616, 4539, 547, 8840, 3652, 267, 519, 1702, 540, 799, 23248, 786, 4483, 538, 519, 7141, 781, 2247, 547, 1153, 3652, 607, 1134, 607, 519, 3656, 1062, 563, 2690, 12322, 267, 1514, 2923, 949, 948, 873, 1265, 1007, 1344, 1644, 547, 741, 1272, 2511, 269, 1717, 267, 1210, 1514, 2923, 949, 723, 3983, 1764, 585, 12322, 563, 1103, 713, 1557, 267, 594, 1131, 899, 547, 8044, 602, 3237, 1058, 3970, 519, 946, 540, 1514, 2923, 585, 12322, 1317, 540, 1614, 2101, 4128, 269, 634, 1101, 2601, 568, 1082, 14038, 1131, 1205, 29279, 952, 789, 946, 1514, 2923, 1510, 16734, 602, 1514, 2923, 786, 2569, 1514, 6935, 1851, 1866, 563, 7197, 3237, 1589, 602, 1514, 2923, 568, 1271, 585, 741, 1453, 547, 723, 811, 2828, 269, 1809, 538, 1249, 267, 1034, 540, 14038, 4782, 547, 1921, 3842, 1514, 5121, 2864, 982, 2743, 741, 2828, 3068, 547, 3068, 563, 5445, 1419, 946, 1514, 3060, 547, 2769, 741, 4606, 267, 4664, 543, 1022, 824, 2238, 971, 607, 4730, 2228, 3756, 269, 769, 1931, 547, 2061, 519, 8338, 4220, 267, 4758, 7778, 543, 1620, 827, 519, 5906, 540, 1514, 2923, 568, 835, 540, 930, 2081, 602, 3237, 666, 798, 547, 2061, 519, 8213, 538, 12322, 563, 17780, 593, 10906, 536, 269, 5822, 835, 282, 1514, 2923, 616, 1419, 8246, 676, 3352, 22529, 1043, 1268, 547, 3765, 548, 611, 14038, 269, 2368, 1004, 1589, 602, 1514, 2923, 948, 14038, 811, 5660, 2933, 269, 24511, 267, 972, 616, 1082, 4638, 11975, 1169, 1554, 602, 8415, 10004, 4055, 547, 1205, 31235, 543, 18609, 12322, 547, 798, 1919, 1346, 616, 711, 9277, 547, 798, 899, 20171, 20025, 6337, 267, 543, 930, 2186, 540, 1919, 602, 814, 27127, 2609, 563, 2252, 12322, 798, 711, 581, 6297, 267, 789, 1522, 581, 519, 835, 540, 9601, 269, 634, 3791, 2601, 267, 1082, 14038, 945, 29279, 547, 519, 6165, 540, 1514, 2923, 4043, 547, 1205, 4965, 543, 4160, 269, 901, 12211, 547, 15413, 1143, 543, 4744, 27937, 269, 769, 1249, 267, 950, 789, 2845, 1055, 540, 713, 1514, 2923, 267, 789, 616, 18549, 1291, 547, 519, 2417, 4965, 602, 519, 1966, 568, 1869, 538, 922, 1747, 563, 288, 2339, 540, 1543, 542, 11342, 1369, 519, 2923, 267, 1896, 2090, 723, 3254, 602, 1514, 13033, 666, 723, 17672, 2360, 593, 14038, 8171, 269, 12824, 689, 519, 2160, 540, 12309, 12290, 1514, 2923, 6165, 936, 513, 6830, 9519, 543, 1336, 602, 519, 811, 1004, 602, 1031, 621, 267, 519, 811, 2258, 18356, 789, 4810, 7282, 741, 1554, 3562, 6377, 2238, 282, 607, 1134, 607, 936, 942, 267, 1651, 584, 2590, 2362, 2157, 540, 27025, 8351, 609, 741, 1272, 2949, 563, 8256, 18790, 713, 2013, 267, 2385, 1058, 2628, 3007, 547, 741, 1453, 865, 789, 1131, 917, 602, 741, 1453, 1869, 538, 1318, 1259, 269, 634, 1614, 4128, 1657, 616, 2614, 547, 1397, 519, 3237, 602, 789, 1058, 7182, 519, 946, 540, 1514, 2923, 563, 3383, 267, 1832, 938, 14038, 2922, 2228, 7868, 3123, 540, 15730, 6219, 946, 616, 12947, 716, 3645, 267, 855, 519, 2923, 666, 1404, 513, 1883, 1909, 563, 307, 984, 8829, 543, 4568, 2099, 519, 476, 273, 1034, 1713, 3075, 6937, 547, 10708, 269, 2859, 982, 1269, 1839, 5479, 829, 1032, 568, 6170, 593, 10229, 585, 10269, 267, 4568, 267, 543, 13310, 5061, 267, 543, 971, 10229, 814, 1044, 3254, 547, 581, 2500, 269, 7913, 2923, 616, 5051, 1373, 1031, 547, 14441, 5061, 563, 19522, 585, 2922, 4950, 946, 6732, 2238, 616, 606, 7533, 851, 540, 707, 1453, 779, 2729, 543, 789, 4440, 6108, 1082, 540, 741, 24971, 3108, 17774, 532, 519, 2121, 269, 589, 312, 12569, 2136, 21969, 3699, 6754, 24761, 547, 15557, 12243, 1977, 15272, 17502, 1356, 9257, 630, 17751, 12569, 264, 543, 589, 312, 12569, 2136, 616, 20938, 547, 14773, 602, 6754, 24761, 814, 8678, 519, 3919, 607, 519, 2817, 10615, 540, 3213, 2286, 585, 589, 312, 12569, 2136, 563, 3528, 2348, 1305, 2053, 950, 5769, 946, 568, 4847, 267, 3237, 666, 5721, 741, 1453, 543, 12322, 547, 6108, 741, 2228, 3108, 20617, 269, 1403, 3214, 917, 789, 723, 513, 1079, 5662, 6885, 538, 519, 10543, 547, 581, 2228, 267, 789, 786, 3970, 519, 2179, 540, 942, 789, 6108, 3257, 9992, 643, 565, 748, 610, 10002, 8793, 2238, 563, 29261, 267, 1205, 3323, 609, 9977, 28324, 910, 519, 3056, 6666, 1652, 11033, 1062, 585, 3506, 563, 9349, 543, 2628, 585, 1153, 7188, 2996, 267, 15731, 267, 15143, 543, 1153, 3937, 2228, 267, 693, 513, 942, 602, 17015, 596, 269, 1548, 2085, 1058, 1250, 3214, 581, 1354, 594, 1577, 873, 946, 17749, 267, 9365, 267, 543, 824, 1514, 2923, 2533, 888, 7476, 4274, 5796, 543, 4388, 689, 5871, 23281, 9012, 15769, 269, 0, 23558, 256, 1635, 1256, 6236, 16459, 513, 1216, 6882, 1062, 538, 707, 1753, 596, 616, 2907, 513, 2268, 6251, 547, 519, 8748, 1072, 2640, 22012, 1216, 666, 1683, 269, 1809, 14045, 593, 513, 1216, 6882, 666, 581, 513, 2352, 3375, 269, 1703, 616, 865, 1082, 1114, 3631, 2139, 538, 519, 2872, 602, 621, 666, 14845, 547, 917, 799, 568, 1655, 585, 596, 269, 3371, 616, 513, 1297, 540, 1292, 2409, 540, 22729, 2139, 585, 707, 1753, 912, 272, 269, 681, 27654, 744, 8243, 2670, 8830, 2305, 454, 305, 27654, 23015, 2670, 1216, 12086, 616, 4922, 1031, 543, 3362, 269, 1358, 666, 581, 8704, 607, 896, 23716, 3631, 267, 610, 1256, 1247, 513, 2898, 2777, 1216, 6882, 1062, 269, 20323, 11827, 547, 2973, 6070, 1216, 267, 9258, 23015, 2670, 1568, 609, 519, 5351, 540, 1216, 2604, 547, 3196, 1216, 998, 513, 9245, 267, 3850, 1152, 6675, 602, 616, 1507, 2614, 547, 1780, 998, 267, 3976, 17527, 17694, 269, 20767, 9323, 971, 607, 4401, 267, 1291, 267, 16035, 543, 7601, 616, 3362, 17808, 267, 607, 616, 4551, 543, 8290, 269, 25914, 710, 6675, 849, 3112, 1780, 998, 519, 5160, 4494, 563, 2467, 616, 1079, 1292, 19363, 593, 519, 9258, 23015, 2670, 1062, 269, 3689, 267, 519, 1184, 22837, 6266, 540, 1216, 676, 17596, 513, 2362, 5223, 540, 4652, 2830, 1229, 547, 22012, 1216, 538, 1931, 547, 1412, 335, 2313, 262, 519, 6675, 998, 519, 9245, 269, 634, 6093, 5223, 568, 476, 275, 281, 272, 269, 9577, 6087, 596, 547, 513, 2404, 609, 1216, 568, 4010, 2469, 1524, 519, 8963, 563, 13553, 267, 16765, 1248, 23015, 2670, 1184, 17446, 1216, 540, 1271, 6886, 269, 25530, 1412, 7809, 262, 1216, 602, 568, 1863, 540, 5279, 540, 6886, 568, 711, 2808, 513, 1434, 2298, 1072, 2623, 269, 1403, 596, 616, 2921, 513, 2404, 609, 3063, 7777, 543, 6171, 9360, 267, 2705, 267, 713, 568, 3335, 711, 540, 1454, 6161, 563, 763, 1483, 5413, 547, 581, 2111, 547, 9258, 23015, 2670, 1216, 6882, 568, 602, 568, 2838, 1360, 2370, 5826, 267, 609, 1152, 519, 17573, 7738, 609, 519, 9245, 563, 273, 269, 2920, 17300, 12539, 4826, 6882, 454, 8002, 17300, 12539, 267, 849, 1634, 607, 15181, 23315, 267, 1773, 17741, 568, 513, 1360, 1455, 19003, 1505, 269, 15765, 3327, 1568, 676, 11006, 17694, 547, 922, 2627, 269, 634, 2627, 1858, 538, 3742, 3327, 568, 7372, 585, 922, 1507, 2450, 267, 2094, 14312, 8324, 543, 6886, 6634, 540, 6263, 562, 23697, 543, 1835, 2335, 625, 269, 1717, 267, 519, 11006, 1184, 1281, 5555, 1412, 15640, 262, 519, 2627, 267, 607, 1134, 607, 519, 12086, 786, 2154, 4657, 563, 763, 1292, 5413, 540, 15181, 3327, 568, 602, 621, 568, 11593, 2139, 267, 666, 1491, 1747, 538, 513, 1507, 7047, 16466, 267, 22837, 1100, 1216, 267, 543, 568, 5266, 20522, 563, 763, 1292, 11393, 616, 602, 519, 12086, 991, 585, 4957, 5781, 267, 543, 952, 16789, 569, 9738, 267, 666, 1831, 9044, 344, 269, 1744, 1077, 12086, 267, 538, 1880, 267, 786, 581, 6534, 547, 519, 5354, 540, 3905, 1216, 267, 666, 5957, 856, 519, 3742, 3327, 6882, 267, 543, 1831, 24631, 693, 19288, 267, 610, 8338, 267, 513, 3984, 585, 3337, 269, 7743, 946, 543, 2834, 10682, 540, 12086, 666, 2061, 713, 1966, 689, 8915, 532, 563, 274, 269, 595, 10984, 545, 4826, 31207, 454, 290, 10984, 545, 12086, 616, 2404, 609, 519, 8093, 1242, 3788, 540, 3504, 4262, 1272, 269, 1358, 616, 606, 5140, 6882, 540, 3677, 21439, 267, 543, 2705, 4551, 543, 8290, 267, 1247, 1869, 3850, 6886, 547, 2285, 269, 595, 10984, 545, 12086, 616, 1419, 1031, 538, 9205, 6882, 1949, 267, 1141, 519, 1292, 1966, 568, 19003, 856, 13596, 267, 607, 606, 4244, 547, 6464, 269, 595, 10984, 545, 12086, 798, 711, 6882, 856, 20841, 267, 543, 2899, 1031, 538, 513, 2777, 6882, 1062, 267, 616, 2356, 5916, 609, 1776, 3823, 6882, 547, 3035, 602, 1267, 563, 8448, 8830, 2305, 7010, 454, 19741, 2629, 1614, 972, 616, 17386, 824, 2404, 609, 12086, 602, 519, 15388, 1753, 26782, 949, 2097, 2066, 912, 19575, 19965, 1216, 12086, 10514, 731, 519, 1216, 602, 10596, 998, 609, 22292, 12345, 267, 11318, 782, 13596, 269, 20056, 550, 693, 21149, 532, 1216, 267, 8299, 19965, 1281, 711, 6882, 856, 21439, 610, 6464, 563, 296, 517, 1944, 1216, 12086, 5094, 22279, 689, 3679, 5892, 1216, 267, 543, 2671, 609, 1312, 269, 32279, 10953, 1310, 1867, 1072, 2640, 540, 6704, 22279, 1216, 267, 543, 9357, 6500, 12086, 616, 4922, 1031, 4749, 538, 10506, 543, 1072, 8808, 5321, 563, 298, 5263, 1216, 12086, 946, 513, 21567, 18585, 602, 7472, 513, 27647, 545, 2962, 799, 14543, 20841, 269, 3657, 3622, 1360, 3730, 585, 17643, 9843, 267, 2094, 519, 7601, 543, 13058, 538, 519, 18585, 2731, 1568, 1732, 693, 2362, 2837, 2175, 563, 32382, 519, 14845, 2404, 609, 1216, 6882, 3681, 666, 581, 3833, 23773, 547, 519, 1753, 26782, 269, 1809, 11439, 609, 713, 2596, 2404, 609, 519, 1114, 19003, 2409, 2139, 267, 596, 616, 1631, 1079, 3268, 6251, 547, 16116, 519, 1318, 6882, 585, 707, 1753, 543, 4098, 547, 2972, 1082, 1072, 2640, 513, 1753, 1216, 6882, 6770, 269, 0, 10111, 5303, 1284, 21518, 4675, 2216, 547, 5620, 676, 3767, 454, 303, 9438, 532, 519, 2104, 568, 513, 18174, 779, 2144, 8681, 267, 855, 602, 18387, 1406, 11074, 1004, 689, 3843, 269, 2961, 2029, 568, 835, 1858, 602, 779, 1044, 513, 3226, 15417, 9960, 2666, 585, 713, 1826, 540, 25127, 269, 5890, 5962, 538, 3388, 689, 1453, 779, 27977, 547, 2257, 5708, 3625, 321, 31255, 267, 972, 723, 1044, 930, 2462, 6788, 3823, 1286, 2029, 540, 519, 2104, 563, 2005, 779, 1044, 5756, 2094, 1082, 540, 891, 11236, 941, 1101, 1500, 267, 865, 519, 2104, 568, 7168, 1454, 1934, 269, 2913, 779, 1491, 513, 1413, 693, 519, 1699, 4567, 540, 930, 16669, 10124, 602, 941, 9277, 547, 581, 1934, 676, 1631, 563, 2252, 596, 4076, 2479, 14478, 968, 763, 808, 1115, 976, 2223, 596, 917, 782, 827, 10760, 6517, 269, 7982, 950, 713, 20419, 729, 1500, 267, 1082, 4397, 602, 9897, 543, 28565, 1131, 4166, 581, 513, 3364, 540, 519, 2250, 2443, 3079, 540, 18644, 519, 31879, 543, 6117, 689, 1747, 547, 1747, 267, 649, 8910, 3274, 4604, 938, 10760, 6517, 543, 23593, 998, 519, 2011, 899, 5017, 538, 8184, 563, 11917, 16227, 267, 10760, 6517, 5749, 1406, 2943, 513, 13416, 4641, 269, 1809, 519, 2029, 6157, 6818, 267, 543, 972, 616, 3549, 602, 616, 2182, 693, 960, 3384, 6472, 602, 1223, 1118, 10760, 6517, 851, 540, 938, 4948, 2729, 269, 3353, 1227, 267, 891, 6655, 1734, 616, 1634, 607, 7299, 1491, 4752, 543, 13941, 630, 309, 307, 5357, 264, 6472, 269, 9406, 1631, 267, 621, 5654, 899, 891, 19269, 786, 1101, 1118, 741, 5920, 538, 519, 26055, 327, 732, 2344, 267, 7064, 547, 772, 828, 269, 634, 26055, 327, 732, 9649, 814, 24574, 1229, 609, 1585, 18229, 3549, 547, 1020, 966, 307, 5357, 6472, 269, 772, 828, 13922, 547, 10131, 513, 966, 307, 5357, 26055, 327, 732, 3028, 676, 476, 1708, 274, 563, 15575, 1652, 2257, 5708, 9413, 936, 519, 1296, 723, 13269, 513, 2104, 538, 799, 938, 6517, 1810, 1406, 723, 10256, 610, 9486, 269, 1452, 6472, 1205, 596, 689, 835, 4087, 547, 519, 1985, 1510, 9920, 3403, 269, 1411, 1175, 4283, 519, 1286, 267, 13047, 1125, 707, 10278, 543, 1694, 1394, 543, 7227, 585, 519, 6174, 547, 8850, 1491, 596, 1141, 596, 1616, 547, 979, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 763, 2070, 689, 713, 14629, 9008, 3947, 513, 26672, 573, 2070, 540, 519, 8496, 29718, 2749, 10422, 3663, 14024, 23080, 600, 568, 513, 2067, 32446, 602, 568, 1336, 538, 713, 1858, 540, 519, 2749, 1141, 835, 666, 1694, 543, 2972, 513, 1434, 942, 538, 1151, 3363, 563, 1607, 9754, 729, 9112, 1310, 519, 26923, 540, 19413, 10202, 267, 519, 4651, 540, 519, 4182, 269, 1261, 543, 8496, 29718, 2671, 513, 2027, 6125, 267, 1010, 3643, 547, 8496, 29718, 568, 1018, 4957, 1010, 19703, 2511, 4625, 689, 25099, 1790, 656, 547, 546, 14653, 328, 543, 646, 5645, 602, 1055, 2394, 1010, 2669, 269, 901, 9754, 786, 2087, 707, 1702, 827, 519, 840, 268, 7115, 6560, 540, 519, 4182, 269, 2290, 666, 2972, 513, 2603, 540, 2982, 2921, 1747, 538, 519, 9754, 563, 1607, 11454, 568, 1776, 4583, 1747, 6131, 547, 7083, 12653, 340, 1146, 543, 568, 4092, 593, 513, 14629, 1283, 269, 898, 568, 2808, 547, 581, 835, 10838, 519, 3670, 705, 3941, 540, 5601, 12653, 340, 1146, 269, 634, 18810, 1459, 1934, 616, 20077, 540, 18899, 543, 3574, 1818, 621, 1413, 2189, 269, 634, 5458, 3268, 538, 4395, 540, 519, 11454, 1118, 585, 513, 1390, 18214, 269, 898, 568, 835, 540, 519, 1034, 4190, 17633, 538, 8496, 29718, 543, 782, 936, 5045, 268, 19328, 563, 10521, 21240, 2476, 689, 519, 4872, 7178, 568, 713, 3504, 11454, 540, 3162, 268, 3127, 269, 634, 11454, 568, 6131, 547, 18459, 31155, 20692, 269, 8496, 19441, 568, 4583, 585, 922, 1148, 267, 2528, 543, 6189, 543, 918, 797, 531, 10897, 327, 26196, 11454, 568, 835, 971, 1383, 540, 1854, 652, 5898, 540, 11265, 17284, 269, 901, 568, 513, 4686, 4087, 609, 5898, 543, 17035, 693, 519, 1482, 5544, 563, 15648, 9736, 476, 1001, 276, 3004, 12069, 924, 3127, 2353, 9406, 27616, 0, 289, 4637, 616, 1175, 22440, 602, 723, 1044, 26437, 543, 21775, 607, 19736, 269, 769, 513, 2428, 9917, 961, 267, 789, 616, 12029, 630, 1170, 4240, 676, 3549, 267, 25772, 543, 19988, 6082, 264, 799, 666, 581, 12349, 538, 7156, 540, 513, 7466, 4458, 569, 834, 322, 19281, 517, 257, 610, 6556, 585, 519, 8653, 540, 519, 2165, 540, 519, 10211, 7132, 267, 6923, 267, 519, 2407, 23231, 618, 540, 519, 3355, 3854, 7979, 599, 563, 289, 4637, 616, 1851, 519, 9604, 540, 3903, 585, 1346, 5275, 513, 11931, 4747, 689, 741, 3854, 269, 901, 568, 1317, 789, 616, 3622, 1447, 19979, 982, 1226, 885, 543, 267, 1317, 540, 519, 1259, 789, 2811, 11295, 267, 789, 2709, 513, 3648, 2362, 4110, 540, 4027, 547, 519, 23649, 1058, 519, 29307, 2754, 979, 856, 540, 1870, 269, 14351, 6868, 616, 29884, 547, 6125, 25963, 538, 519, 2680, 513, 2754, 14543, 282, 713, 1797, 602, 6125, 6868, 786, 2141, 581, 1500, 2898, 1354, 6006, 6868, 563, 310, 664, 2431, 29485, 5004, 3335, 1443, 2478, 8066, 7554, 9783, 676, 3084, 6608, 543, 1804, 32728, 6144, 919, 269, 20607, 5777, 1685, 11201, 569, 547, 6125, 11729, 865, 267, 585, 1383, 267, 952, 519, 3902, 540, 513, 6125, 14380, 267, 519, 6556, 630, 528, 19420, 517, 264, 2628, 762, 12772, 269, 17957, 267, 952, 519, 3902, 540, 513, 6125, 8813, 267, 519, 6556, 14380, 563, 290, 2734, 622, 7554, 9783, 676, 1804, 3549, 4043, 547, 581, 9425, 2922, 1498, 267, 538, 3069, 267, 621, 568, 519, 7554, 9783, 676, 717, 279, 19988, 2829, 602, 616, 3622, 9228, 607, 1373, 519, 32343, 2139, 563, 11795, 2159, 607, 621, 949, 581, 585, 930, 547, 3858, 593, 1018, 4564, 519, 1655, 1935, 547, 10115, 267, 6038, 267, 519, 936, 31186, 2832, 568, 547, 10836, 689, 513, 14679, 609, 811, 982, 602, 609, 799, 835, 13788, 2348, 6534, 835, 781, 3854, 547, 607, 2370, 1981, 607, 2009, 269, 0, 14240, 540, 589, 8821, 18442, 269, 12791, 540, 589, 8821, 18442, 269, 14271, 11618, 540, 589, 8821, 18442, 454, 2080, 596, 786, 1265, 835, 610, 811, 3137, 538, 2296, 585, 519, 2262, 589, 8821, 18442, 269, 4746, 538, 519, 5377, 2451, 540, 519, 2985, 1896, 2694, 540, 28957, 3817, 1644, 547, 519, 2262, 589, 8821, 18442, 543, 267, 540, 1576, 267, 589, 8821, 18442, 19655, 543, 593, 519, 1318, 2592, 1644, 547, 519, 2262, 589, 8821, 18442, 563, 14240, 540, 589, 8821, 18442, 454, 288, 8821, 18442, 23173, 558, 850, 6682, 257, 334, 265, 332, 850, 267, 16422, 558, 850, 16422, 257, 334, 265, 332, 850, 267, 562, 16804, 17247, 563, 322, 17868, 8759, 267, 18348, 539, 9992, 269, 6182, 269, 7790, 267, 1396, 269, 3618, 11945, 267, 1373, 865, 454, 21406, 689, 519, 9329, 540, 922, 8768, 269, 6423, 9966, 1076, 267, 543, 454, 288, 12593, 540, 11922, 630, 12901, 1335, 529, 264, 540, 519, 1290, 22683, 1920, 269, 634, 454, 21720, 4342, 558, 850, 267, 589, 269, 8821, 18442, 267, 568, 1031, 607, 513, 2442, 16185, 563, 21132, 5810, 723, 513, 2178, 543, 29549, 543, 513, 15280, 267, 23599, 454, 339, 4292, 269, 1358, 616, 512, 4577, 267, 905, 1962, 604, 1872, 531, 267, 543, 538, 1804, 13066, 900, 2045, 2676, 663, 519, 19979, 3282, 568, 1286, 2381, 894, 563, 30547, 540, 589, 8821, 18442, 689, 28957, 454, 268, 1776, 3662, 454, 528, 1843, 1070, 2870, 513, 12321, 18442, 454, 269, 3962, 12321, 18442, 4564, 454, 821, 540, 519, 14087, 1807, 781, 6480, 919, 282, 519, 1895, 454, 10472, 3029, 267, 1634, 454, 553, 513, 12259, 807, 2483, 268, 700, 19653, 8821, 18442, 454, 529, 606, 23599, 28033, 454, 29728, 610, 1804, 21906, 454, 5976, 3039, 267, 1350, 629, 9317, 454, 4433, 15879, 1054, 543, 4552, 1652, 264, 3762, 267, 538, 519, 15496, 2030, 1920, 454, 268, 19448, 544, 867, 539, 3120, 454, 1372, 6008, 520, 18649, 8821, 18442, 454, 24867, 7052, 961, 267, 476, 6942, 276, 264, 630, 288, 571, 1013, 5866, 281, 1488, 2033, 2801, 281, 14562, 21355, 13160, 264, 679, 16266, 454, 1993, 513, 6008, 520, 18649, 8821, 18442, 454, 24867, 7052, 961, 267, 476, 6942, 276, 264, 630, 288, 571, 1013, 5866, 281, 2483, 268, 18237, 3534, 8821, 18442, 454, 4067, 519, 15626, 454, 5155, 521, 7052, 610, 10178, 1660, 1088, 267, 568, 513, 1804, 2249, 454, 743, 600, 267, 513, 7286, 536, 2526, 557, 30114, 19895, 454, 514, 519, 1920, 454, 268, 1152, 1634, 998, 8093, 5638, 2394, 454, 1492, 8241, 2249, 26728, 548, 8926, 8821, 18442, 454, 514, 476, 1960, 275, 538, 513, 22465, 22986, 19069, 454, 19327, 540, 519, 2483, 268, 11114, 8286, 454, 7945, 607, 17079, 752, 264, 543, 1346, 454, 1993, 519, 3864, 454, 321, 599, 3529, 630, 299, 19653, 8821, 18442, 454, 264, 543, 519, 4993, 454, 321, 599, 3529, 630, 308, 3387, 32698, 807, 1608, 4613, 3821, 264, 616, 1031, 585, 7657, 28666, 2483, 268, 634, 32176, 9586, 25190, 517, 454, 264, 568, 513, 2249, 454, 1993, 1804, 18714, 454, 335, 15607, 517, 269, 898, 568, 519, 1152, 2249, 454, 1993, 519, 1395, 28437, 12593, 454, 302, 339, 573, 760, 4257, 269, 634, 32176, 9586, 2483, 1729, 281, 21926, 4068, 320, 8821, 18442, 454, 267, 519, 15626, 454, 344, 5535, 267, 513, 15496, 2030, 2249, 2549, 615, 560, 807, 8821, 18442, 454, 267, 519, 11348, 454, 1993, 8738, 2742, 267, 513, 9341, 454, 529, 606, 7969, 454, 338, 1248, 877, 269, 31838, 1004, 454, 5976, 519, 21519, 454, 514, 2850, 281, 17555, 12756, 12321, 8270, 454, 267, 7969, 21997, 20574, 12321, 8270, 454, 6357, 1941, 476, 3192, 277, 1070, 1977, 454, 268, 519, 13423, 2867, 454, 1721, 922, 1152, 2249, 267, 645, 1143, 541, 1188, 807, 8821, 18442, 454, 1721, 1412, 333, 984, 548, 8339, 645, 1143, 541, 1188, 807, 8821, 18442, 9428, 454, 13700, 16218, 267, 12457, 547, 16009, 538, 2681, 2483, 13146, 590, 792, 2583, 4429, 16665, 2592, 547, 589, 8821, 18442, 0, 304, 269, 634, 2166, 322, 611, 594, 11751, 538, 513, 8708, 513, 1906, 1296, 3516, 568, 7432, 5835, 1256, 1498, 594, 6410, 621, 856, 540, 1463, 3141, 543, 883, 519, 546, 1952, 1194, 12094, 540, 513, 642, 924, 343, 3529, 269, 2052, 596, 18973, 2436, 594, 1869, 991, 811, 27864, 547, 2953, 519, 5835, 532, 286, 594, 6557, 12922, 547, 2030, 621, 538, 519, 2666, 1317, 621, 1522, 19068, 563, 288, 269, 594, 1810, 1405, 1589, 519, 5835, 532, 568, 513, 1966, 689, 7920, 7943, 269, 901, 2030, 666, 6023, 2407, 3141, 538, 938, 7720, 329, 1511, 19164, 609, 1100, 2042, 952, 519, 3037, 814, 1044, 5423, 18113, 267, 5214, 22853, 616, 3773, 547, 519, 3037, 1169, 1032, 610, 1079, 543, 1216, 568, 2139, 950, 2877, 269, 898, 779, 4443, 547, 1332, 267, 2705, 267, 593, 519, 5101, 5011, 540, 5656, 1141, 621, 4991, 930, 4027, 689, 519, 3735, 12784, 3141, 563, 5804, 707, 4605, 267, 621, 4667, 621, 568, 3395, 538, 519, 1482, 8708, 602, 3357, 689, 519, 21543, 269, 1403, 713, 568, 3020, 267, 782, 519, 1418, 923, 538, 602, 3312, 3037, 616, 8854, 269, 4634, 952, 596, 616, 4946, 13226, 547, 519, 8708, 267, 519, 2030, 3762, 5835, 1317, 519, 3037, 568, 968, 342, 1941, 856, 6100, 26023, 267, 519, 2030, 568, 3395, 538, 519, 8708, 19558, 517, 1227, 630, 21671, 1216, 543, 8726, 13226, 621, 4991, 1916, 2005, 568, 1271, 547, 1039, 5214, 22853, 547, 782, 11934, 593, 513, 2834, 4493, 547, 2226, 1434, 2030, 1072, 267, 2087, 922, 10892, 547, 938, 10792, 9390, 2916, 543, 3251, 11259, 547, 3676, 563, 5522, 1218, 1332, 1732, 543, 616, 8902, 630, 16269, 666, 16641, 811, 2042, 264, 952, 789, 616, 6738, 538, 519, 2666, 543, 538, 513, 2635, 6073, 269, 2659, 2166, 322, 611, 568, 3395, 538, 606, 2025, 267, 968, 339, 1600, 892, 3037, 602, 814, 711, 1044, 29567, 267, 538, 513, 8708, 602, 779, 1932, 1507, 543, 945, 6487, 952, 621, 779, 3478, 1216, 950, 2877, 563, 303, 1157, 513, 5544, 585, 621, 543, 1205, 621, 12630, 269, 12518, 3395, 538, 11149, 616, 2352, 547, 4383, 269, 769, 519, 2666, 267, 621, 666, 1332, 538, 2407, 3141, 952, 11303, 676, 824, 11125, 730, 2371, 269, 901, 2030, 786, 581, 8902, 952, 519, 3037, 568, 4988, 609, 3574, 577, 2354, 2864, 982, 4224, 269, 898, 568, 711, 513, 9390, 2030, 585, 2386, 267, 865, 621, 2115, 547, 581, 12630, 543, 530, 23926, 609, 824, 1875, 17393, 1068, 2371, 543, 25374, 585, 538, 513, 1875, 17393, 1068, 1259, 563, 4322, 2371, 786, 20496, 5210, 607, 1970, 607, 476, 736, 13790, 855, 949, 1397, 930, 5162, 3441, 630, 321, 1258, 4506, 264, 547, 519, 3762, 693, 476, 1839, 293, 269, 5457, 267, 5162, 4411, 568, 8338, 952, 519, 2030, 568, 3395, 538, 513, 2842, 344, 4087, 563, 2691, 9544, 621, 713, 12096, 267, 946, 513, 2298, 11003, 543, 3575, 621, 8449, 609, 3037, 3144, 689, 519, 9544, 8559, 269, 1879, 9544, 267, 946, 713, 29567, 3037, 543, 6360, 519, 8559, 609, 1216, 607, 3037, 568, 3773, 269, 5269, 2386, 621, 779, 12630, 693, 519, 1697, 3178, 282, 711, 1932, 13719, 6862, 1932, 2620, 563, 290, 1478, 519, 3037, 4478, 621, 609, 3574, 577, 2354, 689, 2199, 4054, 959, 9404, 902, 269, 1452, 786, 31358, 936, 942, 543, 1039, 811, 1418, 923, 547, 519, 3037, 269, 2659, 2166, 322, 611, 786, 5660, 713, 256, 674, 23459, 1125, 621, 21066, 2899, 513, 1032, 609, 513, 3529, 543, 21906, 610, 15989, 13226, 269, 15233, 621, 896, 519, 3762, 267, 711, 1932, 2673, 547, 519, 17657, 267, 543, 1216, 621, 538, 563, 8867, 2314, 602, 616, 5835, 786, 3251, 5835, 2394, 6569, 538, 513, 7008, 540, 1296, 950, 519, 2030, 4991, 4587, 543, 8273, 269, 1809, 519, 1007, 2208, 4947, 689, 519, 17657, 1058, 581, 4158, 3039, 952, 12630, 7157, 269, 901, 1007, 2208, 5555, 30283, 5835, 3762, 607, 789, 616, 6569, 269, 4826, 519, 1482, 607, 596, 1131, 824, 4054, 543, 19211, 538, 519, 5251, 269, 15233, 827, 476, 276, 268, 1015, 17529, 540, 1216, 1142, 942, 621, 568, 11125, 730, 269, 0, 15253, 895, 630, 333, 269, 2567, 769, 519, 5101, 28851, 267, 606, 13141, 3837, 5627, 513, 2777, 267, 856, 28265, 902, 267, 3092, 563, 15253, 895, 630, 341, 269, 512, 269, 2567, 1677, 1106, 610, 1118, 676, 9256, 1114, 2609, 267, 5820, 267, 610, 2694, 282, 607, 267, 547, 7623, 513, 4915, 563, 15253, 895, 630, 341, 269, 512, 269, 2567, 1677, 2322, 1927, 267, 607, 2609, 267, 5820, 267, 610, 2694, 267, 538, 1931, 547, 1106, 513, 2898, 282, 547, 9192, 267, 3575, 267, 610, 26595, 563, 15253, 895, 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 ]
[ 272, 2652, 476, 4375, 275, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 276, 912, 1038, 1820, 3488, 4375, 275, 268, 4200, 276, 815, 910, 31430, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 275, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 277, 912, 1038, 1820, 3488, 4375, 275, 268, 4200, 277, 815, 910, 2568, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 275, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 278, 912, 1038, 1820, 3488, 4375, 275, 268, 4200, 278, 815, 910, 2568, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 275, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 279, 912, 1038, 1820, 3488, 4375, 275, 268, 4200, 279, 815, 910, 2568, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 275, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 15886, 912, 1038, 1820, 3488, 4375, 275, 268, 15886, 815, 910, 2568, 276, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 31405, 912, 1038, 1820, 3488, 4375, 276, 268, 31405, 815, 910, 27898, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 272, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 272, 815, 910, 4649, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 273, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 273, 815, 910, 4649, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 274, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 274, 815, 910, 4649, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 275, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 275, 815, 910, 4649, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4649, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 4649, 815, 910, 28794, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 277, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 277, 815, 910, 6321, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 278, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 278, 815, 910, 6321, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 279, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 279, 815, 910, 6321, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 280, 912, 1038, 1820, 3488, 4375, 276, 268, 4817, 280, 815, 910, 276, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 31634, 912, 1038, 1820, 3488, 4375, 276, 268, 31634, 815, 910, 276, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 8618, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 8618, 815, 910, 276, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 7830, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 7830, 815, 910, 6321, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 8287, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 8287, 815, 910, 6321, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5038, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 5038, 815, 910, 6321, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4792, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 4792, 815, 910, 31816, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5780, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 5780, 815, 910, 6872, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 6858, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 6858, 815, 910, 6872, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 6924, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 6924, 815, 910, 6872, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 7597, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 7597, 815, 910, 6872, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3583, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 3583, 815, 910, 276, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 9032, 272, 912, 1038, 1820, 3488, 4375, 276, 268, 9032, 272, 815, 910, 6872, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 7761, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 7761, 815, 910, 276, 6507, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 9032, 274, 912, 1038, 1820, 3488, 4375, 276, 268, 9032, 274, 815, 910, 276, 4281, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 9032, 275, 912, 1038, 1820, 3488, 4375, 276, 268, 9032, 275, 815, 910, 6872, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4037, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 4037, 815, 910, 276, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 9032, 277, 912, 1038, 1820, 3488, 4375, 276, 268, 9032, 277, 815, 910, 6812, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 6507, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 6507, 815, 910, 6812, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7818, 912, 1038, 1820, 3488, 4375, 276, 268, 7818, 815, 910, 6812, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 8064, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 8064, 815, 910, 6812, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 3199, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 3199, 815, 910, 276, 5952, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 272, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 272, 815, 910, 6812, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 273, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 273, 815, 910, 6812, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 274, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 274, 815, 910, 276, 6434, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 275, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 275, 815, 910, 6812, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 5952, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 5952, 815, 910, 276, 3445, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 277, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 277, 815, 910, 6795, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 278, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 278, 815, 910, 30020, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 6434, 912, 1038, 1820, 3488, 4375, 276, 268, 280, 6434, 815, 910, 6795, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 7176, 280, 912, 1038, 1820, 3488, 4375, 276, 268, 7176, 280, 815, 910, 6795, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 31275, 912, 1038, 1820, 3488, 4375, 276, 268, 31275, 815, 910, 276, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 272, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 272, 815, 910, 6795, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 273, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 273, 815, 910, 6795, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 274, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 274, 815, 910, 6795, 279, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 275, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 275, 815, 910, 276, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 276, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 276, 815, 910, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 277, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 277, 815, 910, 31430, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 278, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 278, 815, 910, 2568, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4200, 279, 912, 1038, 1820, 3488, 4375, 276, 268, 4200, 279, 815, 910, 2568, 274, 5073, 825, 952, 1003, 272, 2652, 476, 4375, 276, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 15886, 912, 1038, 1820, 3488, 4375, 276, 268, 15886, 815, 910, 2568, 275, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 31405, 912, 1038, 1820, 3488, 31256, 268, 31405, 815, 910, 4649, 275, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 272, 912, 1038, 1820, 3488, 31256, 268, 4817, 272, 815, 910, 27898, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 273, 912, 1038, 1820, 3488, 31256, 268, 4817, 273, 815, 910, 4649, 277, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 274, 912, 1038, 1820, 3488, 31256, 268, 4817, 274, 815, 910, 4649, 278, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 275, 912, 1038, 1820, 3488, 31256, 268, 4817, 275, 815, 910, 4649, 279, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 280, 4649, 912, 1038, 1820, 3488, 31256, 268, 280, 4649, 815, 910, 4649, 280, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 277, 912, 1038, 1820, 3488, 31256, 268, 4817, 277, 815, 910, 28794, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023, 543, 1003, 273, 2652, 476, 4817, 278, 912, 1038, 1820, 3488, 31256, 268, 4817, 278, 815, 910, 6321, 272, 5073, 825, 952, 1003, 272, 2652, 476, 31256, 543, 1129, 2652, 25023 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 299, 3951, 307, 4041, 654, 13263, 4041, 11555, 309, 3041, 3633, 700, 4953, 307, 8991, 6730, 590, 5495, 301, 9169, 454, 347, 25284, 1889, 11137, 1234, 4003, 543, 5729, 476, 272, 454, 4263, 3220, 21701, 779, 595, 540, 661, 12729, 3427, 267, 649, 946, 9741, 654, 663, 548, 16707, 543, 16319, 4860, 2213, 269, 901, 26886, 10325, 814, 1044, 2919, 676, 654, 663, 548, 543, 9741, 27659, 2023, 2296, 16735, 338, 543, 3144, 4464, 676, 9741, 27659, 2023, 12729, 3427, 543, 654, 663, 548, 4804, 11565, 538, 11450, 609, 824, 18551, 543, 2038, 2542, 4966, 563, 5978, 2347, 9399, 303, 814, 1044, 3710, 1472, 519, 9337, 630, 4131, 1562, 543, 16319, 5355, 3928, 540, 3356, 476, 1708, 272, 264, 543, 14405, 593, 938, 1378, 3506, 685, 5140, 2259, 267, 607, 1134, 607, 938, 960, 609, 3506, 1472, 519, 2197, 269, 9741, 654, 663, 548, 16707, 543, 16319, 4860, 2213, 849, 14405, 593, 519, 5767, 1382, 883, 875, 1453, 1451, 1655, 282, 875, 547, 2327, 1565, 13978, 538, 1453, 779, 1279, 2165, 3965, 543, 875, 1655, 547, 5512, 1453, 547, 4019, 741, 1565, 547, 1831, 3810, 19579, 3988, 563, 2026, 519, 1453, 1451, 267, 1007, 1178, 335, 1335, 525, 789, 786, 1451, 513, 6952, 874, 19189, 547, 6474, 519, 4992, 269, 1452, 1831, 1256, 811, 1271, 950, 649, 1376, 1565, 4244, 29745, 585, 519, 1482, 1178, 335, 22351, 269, 661, 3052, 269, 2712, 1225, 331, 519, 9663, 610, 2144, 513, 8273, 2007, 3455, 563, 2026, 789, 1451, 1114, 29745, 267, 789, 2048, 326, 992, 519, 3009, 685, 543, 1451, 547, 946, 1178, 335, 22351, 12125, 547, 948, 873, 3442, 519, 1318, 10259, 269, 1452, 786, 581, 1031, 2663, 538, 519, 1032, 563, 763, 7887, 1689, 585, 938, 3450, 568, 519, 1259, 649, 4001, 16602, 1913, 269, 634, 1007, 10325, 11414, 519, 1453, 547, 4019, 741, 18551, 1702, 547, 16602, 1913, 543, 6941, 1946, 519, 2262, 568, 16602, 269, 552, 3052, 269, 568, 1107, 634, 1775, 568, 13093, 2045, 855, 519, 2048, 338, 685, 2306, 513, 2048, 345, 685, 3280, 269, 901, 568, 1018, 2306, 621, 16602, 269, 552, 3052, 269, 540, 1107, 634, 2048, 334, 685, 568, 13093, 2045, 855, 519, 2048, 325, 685, 2306, 513, 2048, 341, 685, 3280, 269, 901, 568, 1018, 2306, 621, 16602, 563, 763, 1453, 616, 6026, 799, 11353, 540, 519, 1913, 616, 13093, 2045, 543, 799, 11353, 616, 16602, 269, 634, 7887, 543, 1034, 3078, 1689, 568, 519, 2542, 26821, 7886, 269, 901, 786, 1376, 538, 5130, 269, 1284, 786, 1100, 3476, 6432, 547, 1367, 2542, 538, 1362, 269, 634, 1453, 786, 723, 476, 274, 2542, 7886, 513, 3018, 609, 513, 4116, 610, 25526, 269, 3962, 2542, 8400, 786, 1445, 593, 1114, 1919, 563, 268, 5463, 5317, 1107, 634, 1453, 786, 1413, 998, 519, 16602, 1913, 543, 1022, 1007, 6863, 543, 723, 606, 4316, 547, 1224, 519, 1433, 547, 1232, 1712, 519, 1913, 563, 268, 18370, 1328, 1107, 769, 713, 8400, 267, 789, 1224, 519, 1433, 1586, 855, 519, 1445, 568, 593, 2679, 4082, 543, 703, 29396, 563, 268, 24366, 1107, 769, 713, 3803, 8400, 267, 519, 1453, 786, 1451, 547, 2626, 2055, 827, 519, 1257, 269, 1358, 786, 581, 4280, 547, 6961, 621, 543, 2491, 621, 543, 946, 1806, 1106, 519, 1257, 547, 948, 1394, 909, 741, 4267, 563, 1103, 1142, 8400, 267, 519, 1453, 786, 782, 1224, 519, 1433, 16965, 543, 519, 2937, 786, 32694, 543, 6432, 547, 782, 540, 873, 269, 901, 1797, 789, 1205, 1082, 3255, 547, 26821, 543, 1628, 21711, 563, 763, 1259, 649, 3382, 519, 2835, 538, 1362, 543, 6474, 519, 2516, 547, 10526, 267, 1797, 602, 676, 519, 942, 519, 1433, 4991, 1753, 547, 596, 621, 1058, 581, 5393, 2653, 585, 707, 1126, 547, 1224, 543, 596, 1205, 547, 2285, 873, 513, 4960, 547, 1397, 1055, 256, 901, 786, 2285, 596, 811, 942, 547, 2972, 519, 4605, 2835, 519, 1453, 616, 8744, 1753, 5781, 630, 16269, 616, 4847, 547, 23396, 891, 1896, 2053, 513, 3018, 264, 610, 5399, 2835, 269, 19457, 1164, 2298, 4605, 2835, 267, 2679, 707, 1126, 779, 1702, 540, 2984, 543, 3384, 741, 6863, 568, 865, 3407, 563, 763, 10325, 849, 814, 3710, 538, 2048, 18141, 909, 7886, 685, 547, 948, 1453, 602, 723, 1336, 1945, 2352, 269, 1284, 1100, 3476, 991, 547, 6432, 547, 1453, 1224, 14350, 267, 4061, 786, 4142, 6510, 700, 6347, 942, 547, 5885, 1453, 547, 1832, 909, 269, 1403, 707, 1126, 2501, 1753, 609, 513, 6529, 518, 593, 741, 6186, 609, 513, 3280, 610, 513, 16602, 2262, 1287, 5225, 2307, 873, 827, 621, 513, 1906, 2053, 602, 10543, 547, 12927, 741, 1565, 689, 602, 1554, 563, 2690, 811, 1344, 281, 0, 299, 3554, 18897, 660, 517, 568, 513, 10509, 27423, 543, 513, 5449, 3301, 11653, 269, 1261, 21593, 3695, 519, 5767, 3466, 538, 2029, 267, 3226, 538, 519, 4610, 540, 5841, 4987, 543, 14590, 563, 268, 16959, 4672, 568, 13792, 3327, 8166, 602, 1016, 3916, 919, 689, 513, 4396, 547, 513, 3154, 267, 6028, 1100, 21225, 3297, 563, 268, 16959, 4672, 568, 1031, 538, 1585, 6080, 585, 5329, 1426, 4411, 267, 10647, 6901, 267, 543, 2870, 3308, 2360, 563, 268, 30047, 3819, 4672, 9108, 3340, 17309, 610, 10209, 338, 267, 543, 621, 1058, 2760, 581, 6740, 538, 2011, 31259, 11149, 563, 268, 16959, 4672, 666, 581, 12349, 12725, 610, 2228, 267, 543, 922, 1942, 568, 6766, 676, 2504, 2409, 543, 4859, 4170, 563, 4462, 30584, 532, 519, 3733, 560, 1664, 540, 16959, 10979, 281, 1548, 781, 519, 8262, 932, 650, 888, 22013, 1324, 883, 519, 15470, 344, 7706, 540, 3819, 4672, 267, 649, 1265, 6000, 3068, 3562, 19904, 609, 606, 9058, 6219, 602, 814, 9927, 3875, 6080, 269, 1809, 1018, 4010, 568, 713, 10578, 11769, 1634, 607, 3819, 4672, 267, 543, 1946, 1281, 621, 7703, 971, 513, 2012, 286, 1548, 568, 3819, 4672, 543, 875, 1058, 621, 581, 6740, 888, 4263, 922, 4295, 267, 3819, 4672, 568, 3274, 13792, 3327, 8166, 269, 9521, 2757, 4672, 267, 799, 568, 1216, 538, 922, 4396, 1533, 267, 3819, 4672, 1016, 3916, 919, 267, 2495, 621, 13289, 2047, 689, 513, 4396, 547, 513, 3154, 267, 21271, 532, 519, 5277, 3942, 269, 901, 2189, 8984, 568, 519, 2601, 3297, 922, 1412, 323, 787, 262, 1395, 32304, 269, 898, 3085, 1405, 15835, 282, 621, 18493, 919, 267, 6028, 1100, 21225, 3297, 563, 8139, 3819, 4672, 4422, 3564, 922, 3114, 5888, 269, 898, 781, 827, 3695, 922, 2504, 1184, 267, 1942, 6286, 267, 543, 9867, 3096, 269, 898, 10741, 519, 7450, 547, 513, 1158, 1141, 596, 666, 946, 3819, 4672, 547, 1832, 1426, 4411, 267, 2932, 4241, 6901, 267, 543, 1256, 1711, 9159, 3308, 2360, 269, 1809, 609, 971, 1379, 2501, 519, 991, 585, 3106, 269, 853, 1681, 3819, 4672, 3340, 1808, 15416, 267, 607, 1281, 922, 12871, 563, 3383, 267, 616, 596, 4712, 547, 4685, 883, 713, 669, 11035, 3460, 286, 1677, 3605, 1141, 547, 4444, 3819, 4672, 267, 519, 1655, 1259, 547, 946, 621, 267, 543, 875, 547, 4558, 621, 9108, 286, 15012, 721, 607, 649, 7832, 593, 713, 476, 5390, 7045, 267, 21048, 4979, 519, 11580, 543, 13300, 540, 3819, 4672, 563, 5804, 13937, 547, 20348, 281, 634, 2271, 3419, 5224, 13870, 540, 16959, 10979, 9462, 493, 511, 454, 4462, 30584, 532, 519, 9814, 540, 3819, 4672, 2504, 568, 899, 19480, 883, 513, 1158, 1141, 2257, 10742, 9059, 269, 901, 9583, 8723, 6219, 568, 4535, 689, 513, 10565, 7004, 540, 3327, 8166, 3154, 269, 1809, 1018, 568, 713, 1184, 4010, 286, 1411, 666, 1451, 811, 827, 621, 538, 938, 14174, 304, 593, 1018, 3819, 4672, 568, 543, 875, 621, 3252, 563, 5331, 513, 9183, 1141, 3327, 8166, 3154, 568, 16271, 547, 1164, 2604, 543, 1970, 2837, 269, 634, 3154, 6675, 267, 2899, 1863, 543, 18512, 267, 616, 7142, 883, 513, 11741, 267, 4396, 1533, 269, 901, 568, 513, 1184, 1634, 607, 1016, 3916, 566, 267, 543, 621, 781, 519, 5728, 3297, 519, 5137, 540, 3819, 4672, 563, 3719, 1946, 568, 621, 1572, 1412, 323, 787, 262, 286, 9521, 2757, 4672, 267, 799, 5283, 1206, 883, 1216, 267, 3819, 4672, 1236, 2354, 519, 5277, 5123, 7357, 269, 1879, 621, 2112, 916, 909, 267, 621, 21810, 2047, 1394, 883, 513, 3154, 267, 6028, 1100, 21225, 3297, 269, 9747, 267, 519, 2012, 910, 3819, 4672, 563, 8139, 3819, 4672, 3884, 1405, 1175, 827, 6616, 922, 2504, 1184, 267, 855, 849, 827, 30230, 4771, 922, 4052, 6286, 269, 1280, 3236, 267, 1705, 596, 917, 519, 3819, 4672, 1942, 666, 581, 6766, 676, 519, 2504, 1505, 286, 2107, 602, 519, 1655, 1259, 547, 946, 3819, 4672, 5673, 593, 922, 4859, 2175, 286, 1411, 666, 1265, 856, 811, 827, 519, 1655, 942, 547, 6718, 3819, 4672, 543, 875, 547, 4558, 621, 563, 15371, 596, 2811, 3168, 585, 1141, 547, 4444, 3819, 4672, 610, 8049, 827, 3819, 4672, 6901, 267, 938, 3460, 568, 1175, 4098, 269, 27973, 547, 4685, 4514, 286, 6744, 856, 938, 5816, 2022, 593, 519, 1283, 476, 1015, 23349, 3096, 540, 3819, 4672, 585, 930, 6667, 563, 3086, 602, 649, 4312, 5941, 519, 3069, 3297, 3819, 4672, 2504, 267, 1577, 781, 1491, 513, 1413, 693, 713, 1184, 538, 2962, 269, 634, 1739, 3381, 3947, 513, 4241, 5813, 883, 513, 2527, 2504, 14764, 585, 3819, 4672, 563, 6546, 729, 3833, 606, 24084, 2287, 4663, 540, 513, 3819, 4672, 12051, 267, 7012, 1405, 621, 286, 3767, 602, 649, 4312, 2938, 875, 3819, 4672, 568, 3812, 267, 1577, 781, 1847, 593, 547, 2263, 922, 1585, 3096, 543, 3156, 2066, 1114, 6080, 563, 19741, 519, 674, 690, 281, 667, 5744, 21964, 540, 16959, 10979, 21661, 24322, 9462, 490, 494, 454, 30706, 9289, 827, 519, 4241, 1158, 540, 3819, 4672, 286, 898, 781, 811, 982, 1175, 513, 838, 809, 344, 20893, 2173, 6033, 585, 19343, 269, 901, 2189, 1106, 540, 3327, 8166, 267, 3957, 1412, 323, 787, 4672, 262, 1813, 547, 922, 5912, 2047, 689, 513, 4396, 1533, 547, 513, 3154, 267, 814, 513, 21318, 540, 3156, 2066, 1585, 6080, 269, 1403, 596, 2811, 8049, 827, 519, 3017, 1063, 3819, 4672, 543, 2834, 4672, 267, 2638, 856, 938, 14174, 304, 593, 519, 1641, 563, 3383, 267, 875, 568, 3819, 4672, 3812, 286, 898, 781, 3833, 606, 4277, 1184, 269, 16959, 4672, 568, 1500, 689, 3327, 8166, 3154, 267, 16271, 547, 1164, 2604, 543, 1970, 2837, 269, 901, 21810, 519, 3154, 883, 513, 4396, 267, 2870, 519, 476, 5390, 6219, 649, 917, 543, 2648, 563, 3719, 1018, 616, 519, 3096, 540, 3819, 4672, 286, 3245, 5329, 1426, 543, 16098, 4411, 267, 547, 3621, 6901, 267, 543, 1256, 1072, 3156, 267, 3819, 4672, 568, 11212, 11684, 269, 898, 781, 513, 20013, 538, 1082, 6080, 267, 543, 519, 1655, 851, 286, 898, 781, 1942, 15807, 1932, 256, 13028, 811, 827, 519, 4052, 3096, 585, 3819, 4672, 538, 938, 14174, 304, 3296, 563, 4913, 267, 609, 1390, 1379, 2501, 1390, 5539, 269, 16959, 4672, 267, 1813, 547, 922, 5393, 1970, 2837, 267, 3340, 6297, 7829, 269, 11408, 3314, 519, 3819, 4672, 3106, 15416, 547, 2057, 1022, 32657, 2355, 563, 1320, 9722, 827, 1141, 547, 4444, 3819, 4672, 610, 875, 547, 4558, 621, 286, 1284, 4312, 3893, 596, 4988, 269, 898, 781, 2139, 1312, 12725, 543, 2228, 267, 543, 13936, 3819, 4672, 568, 2653, 2899, 596, 917, 519, 9238, 269, 1280, 811, 2143, 1344, 593, 875, 547, 11694, 519, 14438, 540, 3819, 4672, 538, 1114, 4859, 2175, 267, 2638, 856, 938, 2376, 593, 3819, 4672, 4859, 563, 5649, 344, 547, 4685, 4514, 883, 1620, 3819, 4672, 286, 2913, 781, 1205, 3323, 2336, 13349, 5600, 3835, 21964, 585, 16959, 10979, 454, 268, 5253, 27264, 281, 16959, 4672, 568, 5140, 585, 5329, 1426, 3688, 13792, 1282, 3560, 610, 1379, 856, 1137, 269, 898, 781, 1419, 1031, 538, 519, 695, 3612, 540, 829, 27720, 5370, 563, 268, 12539, 566, 281, 5851, 3691, 9955, 543, 14614, 12439, 946, 3819, 4672, 547, 19941, 741, 16098, 269, 898, 781, 513, 2656, 543, 2653, 1259, 547, 1039, 535, 11170, 547, 707, 10425, 563, 268, 12019, 623, 2931, 281, 16959, 4672, 666, 581, 1031, 547, 1711, 4411, 24502, 585, 7063, 267, 5356, 513, 811, 7920, 4411, 982, 2834, 4672, 563, 268, 26332, 3215, 623, 3949, 281, 16959, 4672, 666, 581, 1031, 547, 608, 32558, 622, 10860, 971, 607, 5127, 12961, 543, 18253, 1510, 519, 946, 540, 5739, 6464, 563, 268, 27686, 281, 16959, 4672, 1025, 8463, 267, 513, 1106, 540, 3327, 8166, 7738 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 277, 281, 7591, 6888, 538, 16520, 29576, 281, 1323, 16709, 540, 9966, 528, 692, 296, 269, 4985, 692, 1103, 519, 7706, 540, 5339, 9880, 267, 1404, 6888, 1419, 28107, 3294, 998, 9644, 267, 799, 666, 4196, 1585, 3252, 1369, 513, 1257, 269, 901, 3184, 12538, 883, 519, 14960, 540, 1404, 6888, 607, 621, 25701, 547, 9644, 267, 19286, 908, 922, 4644, 538, 5339, 2079, 543, 5356, 4052, 3156, 585, 3450, 3860, 1603, 538, 3119, 1153, 5468, 269, 1635, 6313, 7811, 10850, 543, 2502, 609, 4207, 14172, 267, 596, 786, 2744, 513, 4514, 7071, 585, 519, 1909, 540, 1404, 6888, 538, 5935, 2495, 543, 5807, 2565, 3206, 1983, 1851, 1762, 5830, 780, 2862, 269, 20223, 7591, 6888, 543, 9966, 528, 692, 4263, 922, 4295, 267, 1404, 6888, 4016, 547, 519, 957, 540, 2502, 538, 2534, 585, 18399, 2864, 982, 3978, 1145, 610, 10626, 630, 21574, 32200, 267, 476, 1001, 280, 1040, 1879, 4294, 547, 3332, 267, 1404, 6888, 4749, 1570, 3278, 998, 14973, 3457, 602, 7519, 6671, 12331, 540, 2792, 267, 7551, 10451, 1007, 4030, 543, 5380, 269, 898, 568, 1898, 547, 10646, 1063, 1114, 2010, 540, 9644, 267, 2705, 267, 607, 789, 949, 6655, 3982, 6835, 543, 18427, 8795, 6114, 689, 3988, 269, 1280, 3236, 267, 24337, 18271, 18854, 543, 20451, 547, 16472, 6848, 8155, 267, 1247, 1793, 777, 22496, 12346, 593, 2168, 18792, 585, 635, 14037, 1198, 269, 4197, 891, 21441, 2636, 721, 547, 811, 8308, 4612, 519, 15752, 3297, 22488, 5931, 543, 5660, 741, 1764, 593, 938, 7664, 540, 6386, 780, 7656, 269, 11933, 3749, 15753, 3311, 585, 22718, 7591, 6888, 543, 9966, 528, 692, 15703, 6436, 723, 1044, 1064, 1243, 547, 2491, 519, 25029, 540, 9644, 543, 1404, 6888, 1369, 5339, 8658, 269, 7324, 873, 616, 1384, 288, 264, 5549, 784, 745, 640, 7869, 454, 5575, 13994, 4327, 676, 1955, 28609, 23006, 267, 1651, 784, 745, 640, 3069, 29102, 602, 9644, 14340, 950, 1079, 19635, 2093, 616, 5104, 868, 777, 2216, 267, 2870, 5042, 4744, 28585, 602, 568, 13604, 17251, 998, 17409, 630, 298, 656, 267, 476, 9692, 271, 270, 1220, 278, 1040, 901, 1523, 814, 1044, 2417, 2919, 676, 5640, 899, 5576, 13449, 327, 21516, 630, 8687, 280, 270, 2735, 279, 1070, 945, 11130, 602, 9644, 2164, 689, 9301, 519, 6397, 4296, 1063, 9583, 20775, 9259, 780, 289, 264, 32493, 640, 7869, 454, 11771, 3215, 609, 18573, 543, 17127, 267, 27166, 3069, 15387, 602, 9644, 11710, 689, 4606, 540, 17636, 936, 1866, 610, 13951, 630, 5522, 6737, 267, 562, 6155, 5919, 17127, 267, 562, 6155, 12175, 4340, 547, 713, 5133, 267, 28617, 693, 24668, 5473, 19439, 906, 1558, 539, 856, 547, 4636, 4777, 619, 9356, 938, 17916, 7287, 547, 1294, 5126, 6039, 267, 3976, 17923, 1514, 25327, 543, 5837, 9479, 780, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22826, 3860, 1603, 538, 3119, 3506, 281, 513, 9836, 2689, 540, 519, 3332, 998, 519, 7828, 540, 16846, 2032, 454, 268, 7046, 1569, 454, 268, 15618, 281, 476, 1704, 4873, 476, 1708, 274, 454, 2791, 723, 2407, 1569, 547, 713, 1930, 1569, 2376, 454, 268, 9677, 2088, 19258, 517, 10758, 290, 2839, 281, 610, 322, 573, 3820, 270, 1822, 271, 268, 1822, 274, 268, 17734, 274, 268, 24487, 311, 476, 272, 31377, 268, 6307, 600, 10609, 657, 337, 821, 329, 611, 476, 273, 31377, 268, 6307, 24138, 476, 273, 31377, 268, 23436, 918, 969, 514, 476, 274, 1299, 454, 268, 1546, 3630, 3733, 24824, 476, 275, 454, 18439, 782, 14573, 454, 29241, 713, 2376, 454, 22826, 1603, 568, 1950, 543, 1382, 1644, 547, 4485, 602, 1489, 1053, 685, 1620, 543, 4093, 538, 2854, 4879, 568, 30508, 269, 18838, 3344, 1519, 1257, 2497, 267, 3483, 267, 543, 1893, 14908, 2408, 547, 581, 8763, 2609, 3610, 917, 875, 547, 4001, 269, 1717, 267, 811, 12007, 543, 13857, 2609, 540, 1603, 971, 607, 2278, 658, 5639, 543, 5876, 723, 4607, 1447, 3007, 269, 1284, 5342, 513, 9836, 3332, 2689, 593, 5876, 543, 3860, 3344, 540, 1603, 538, 3119, 13460, 676, 3695, 1382, 1063, 476, 1001, 272, 543, 476, 1708, 271, 269, 634, 2689, 26857, 476, 15094, 4930, 609, 476, 1839, 17598, 1609, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25440, 6888, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 9966, 528, 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, 17345, 5149, 281, 8891, 527, 674, 2293, 910, 570, 4176, 6164, 338, 609, 513, 8262, 4469, 2948, 623, 4875, 2439, 5970, 596, 2479, 4862, 540, 4620, 527, 2185, 338, 286, 1358, 616, 6263, 267, 11116, 13355, 28916, 602, 12090, 538, 3943, 11951, 269, 634, 2012, 834, 7065, 527, 2185, 257, 1797, 834, 20791, 14089, 257, 538, 3943, 267, 13288, 547, 519, 20538, 2450, 540, 891, 13000, 543, 875, 789, 941, 12926, 19323, 538, 2027, 9065, 839, 269, 1452, 2370, 1642, 2074, 666, 2097, 538, 1082, 1114, 5546, 267, 10366, 267, 543, 3029, 267, 971, 607, 25394, 267, 512, 11301, 267, 5672, 541, 976, 267, 543, 31496, 269, 2913, 781, 4685, 883, 519, 1158, 540, 4620, 527, 2185, 338, 543, 1451, 1018, 2306, 873, 865, 2189, 543, 8949, 2439, 30821, 527, 9050, 7352, 7724, 1384, 272, 269, 2878, 290, 820, 645, 2572, 4995, 9540, 18695, 540, 14735, 267, 1419, 22862, 609, 10217, 610, 23816, 656, 269, 5994, 707, 5172, 8137, 540, 14735, 2759, 883, 7141, 344, 2389, 4176, 4773, 543, 1019, 5529, 538, 1256, 17646, 1512, 5666, 540, 3638, 267, 1232, 611, 550, 10217, 256, 962, 636, 2336, 273, 269, 2878, 21547, 541, 976, 4995, 5548, 6510, 544, 1359, 826, 12897, 29011, 1117, 1927, 609, 7423, 920, 600, 267, 575, 534, 5995, 267, 610, 25888, 11423, 269, 5839, 541, 976, 723, 513, 5743, 6853, 16538, 543, 2571, 9703, 267, 1818, 1142, 11116, 513, 17175, 4334, 538, 9403, 563, 274, 269, 2878, 307, 691, 7410, 4995, 22387, 25188, 16115, 4904, 609, 4829, 28933, 267, 8169, 1841, 267, 610, 1212, 4461, 269, 1411, 1522, 1589, 540, 891, 607, 4130, 8747, 540, 2650, 1765, 704, 2739, 585, 1346, 945, 2648, 1312, 12933, 543, 11423, 8449, 2336, 275, 269, 2878, 2419, 4377, 919, 543, 15443, 625, 4995, 7435, 8154, 539, 669, 4377, 919, 610, 824, 1476, 30708, 1500, 2523, 585, 4620, 527, 2185, 338, 269, 10705, 18991, 21243, 543, 2407, 540, 9670, 10366, 2336, 276, 269, 2878, 11321, 32502, 534, 1262, 630, 531, 12107, 13594, 264, 13144, 281, 1520, 22789, 8032, 26265, 18705, 689, 6653, 30288, 13594, 269, 6056, 32620, 2831, 267, 5810, 267, 610, 3615, 9380, 539, 7357, 856, 540, 4006, 543, 30288, 22556, 2336, 277, 269, 2878, 300, 1359, 1132, 4995, 8752, 543, 2011, 344, 23739, 6438, 13000, 1500, 689, 627, 5792, 4212, 16543, 543, 4006, 269, 631, 1359, 1132, 616, 2356, 10398, 539, 5196, 11256, 9212, 1354, 1373, 19323, 2394, 26546, 543, 10508, 2685, 1750, 14567, 3330, 780, 17730, 2659, 13574, 8891, 527, 674, 2293, 1384, 3086, 602, 649, 917, 827, 1585, 5686, 540, 4620, 527, 2185, 338, 1577, 781, 2119, 2870, 938, 1378, 2241, 4528, 269, 1284, 786, 1376, 676, 8600, 2596, 29877, 26703, 14735, 10945, 543, 10359, 873, 609, 24268, 10217, 269, 901, 11600, 3340, 2937, 15569, 543, 6351, 1813, 547, 8022, 2609, 3238, 780, 28808, 19263, 1384, 265, 476, 16006, 7484, 5667, 531, 1540, 7423, 630, 810, 19924, 539, 994, 265, 476, 382, 378, 7484, 11491, 4327, 4006, 454, 265, 476, 273, 1804, 5798, 454, 265, 476, 272, 23188, 6986, 29877, 1349, 454, 265, 476, 272, 476, 16006, 11680, 782, 26928, 7912, 454, 265, 476, 272, 476, 16006, 18324, 9398, 11256, 8869, 454, 265, 476, 26528, 23188, 6070, 454, 265, 476, 16006, 7484, 2898, 5144, 454, 265, 476, 279, 12063, 10859, 1606, 11548, 10217, 13365, 454, 265, 14109, 1074, 956, 610, 17580, 23598, 630, 28436, 2020, 9743, 15297, 1384, 272, 269, 2776, 17742, 707, 14089, 547, 476, 12573, 13790, 630, 11260, 9180, 1040, 13983, 848, 543, 1899, 606, 476, 280, 343, 1724, 10759, 3443, 609, 533, 1105, 618, 1957, 269, 5590, 11735, 563, 273, 269, 19468, 21352, 539, 7423, 543, 4006, 1927, 1210, 606, 3167, 3575, 518, 2394, 1769, 543, 2770, 27918, 269, 5410, 835, 4212, 693, 513, 942, 267, 11544, 1134, 1063, 23937, 269, 853, 597, 538, 29877, 1349, 563, 274, 269, 28799, 7912, 267, 11256, 8869, 267, 543, 6070, 538, 1776, 12826, 269, 26431, 1039, 3819, 5820, 547, 519, 6632, 7848, 3124, 2299, 609, 5144, 267, 4098, 543, 10678, 609, 3819, 5820, 269, 17186, 1175, 2394, 5916, 269, 5213, 1405, 936, 332, 1460, 2336, 275, 269, 32449, 4402, 883, 5423, 3443, 543, 5347, 519, 1283, 609, 513, 22883, 3121, 269, 645, 820, 585, 476, 736, 268, 1839, 3764, 610, 2394, 513, 21491, 1157, 17332, 883, 519, 4099, 2501, 856, 2973, 269, 14190, 9023, 4625, 538, 519, 3443, 593, 513, 5911, 24646, 563, 276, 269, 4495, 22799, 267, 4894, 14735, 689, 519, 3443, 543, 2759, 883, 3160, 4009, 13980, 630, 12671, 476, 272, 10759, 1535, 476, 272, 10759, 1040, 9255, 10945, 593, 14589, 1957, 610, 13339, 1319, 20898, 26745, 563, 277, 269, 4635, 513, 5595, 15245, 610, 17196, 267, 9900, 15835, 10217, 13365, 2394, 5347, 269, 2142, 6297, 711, 547, 6633, 519, 10217, 256, 1403, 5551, 267, 4483, 24268, 10217, 547, 513, 5068, 9126, 610, 10398, 532, 9126, 543, 2759, 1055, 513, 7944, 547, 1711, 513, 19471, 10398, 532, 9126, 563, 278, 269, 667, 686, 14794, 610, 10612, 24268, 10217, 936, 1142, 14735, 4009, 267, 8720, 782, 5011, 952, 2009, 269, 5463, 28672, 609, 20057, 956, 610, 1022, 824, 1187, 17580, 30996, 880, 906, 1247, 10217, 568, 1869, 6632, 563, 279, 269, 4676, 3419, 4733, 585, 5111, 476, 1428, 3764, 610, 2394, 10217, 814, 1305, 269, 17949, 2439, 8855, 267, 5986, 3217, 2259, 267, 9639, 267, 543, 5876, 269, 18461, 1863, 547, 4603, 609, 1114, 10366, 267, 6272, 267, 543, 4778, 547, 1265, 707, 3501, 4620, 527, 2185, 5137, 256, 8414, 11256, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 263, 1607, 2376, 7902, 538, 519, 14400, 476, 1708, 271, 3390, 540, 12815, 787, 8551, 18225, 994, 292, 684, 10202, 10557, 729, 1175, 476, 1704, 950, 1352, 9112, 519, 1034, 1271, 10624, 540, 1200, 1272, 269, 3502, 2943, 519, 2250, 787, 27697, 1352, 1279, 539, 547, 1831, 267, 10557, 4330, 538, 1390, 1469, 519, 4876, 2619, 1352, 729, 2921, 543, 519, 24117, 3297, 621, 585, 1200, 9053, 4938, 566, 269, 6182, 5896, 267, 1200, 4651, 267, 10557, 3223, 684, 10275, 629, 267, 543, 3993, 267, 13690, 8479, 18191, 2801, 267, 1185, 2141, 1044, 11215, 3237, 543, 8748, 1806, 547, 741, 8250, 267, 18836, 532, 519, 22906, 585, 1148, 543, 519, 1871, 540, 21713, 1353, 1107, 1310, 782, 267, 789, 1558, 693, 6280, 1107, 855, 789, 2864, 12479, 661, 684, 10202, 1131, 3136, 1200, 2757, 2069, 267, 5310, 547, 1831, 513, 4387, 267, 543, 711, 1641, 9887, 547, 519, 18894, 15130, 6551, 832, 540, 513, 10051, 269, 12846, 267, 713, 729, 1100, 26558, 1176, 1606, 4933, 16940, 17609, 540, 3232, 14074, 282, 538, 1249, 267, 621, 1224, 811, 899, 513, 476, 736, 2275, 6847, 21649, 982, 513, 15165, 269, 898, 729, 513, 561, 16112, 267, 11295, 267, 476, 1015, 4458, 1544, 609, 2053, 267, 4025, 543, 3077, 19325, 267, 1519, 1353, 538, 5333, 610, 3567, 267, 538, 6539, 29353, 2462, 543, 1507, 269, 968, 5445, 556, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 20043, 1299, 2598, 1127, 1315, 667, 17143, 338, 1315, 8891, 527, 674, 2293, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 310, 18853, 8582, 318, 310, 2839, 8025, 267, 654, 18853, 8582, 318, 4047, 20846, 994, 825, 530, 333, 815, 14854, 2529, 10547, 10797, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 2529, 564, 20360, 578, 4590, 1038, 1948, 1820, 2891, 20360, 578, 3355, 1436, 29146, 29146, 24097, 339, 24746, 6717, 8577, 15419, 825, 1219, 5590, 20360, 578, 4311, 2187, 1038, 1582, 269, 1233, 26644, 2891, 27409, 820, 3014, 676, 7711, 296, 337, 577, 611, 5602, 1038, 1582, 269, 1233, 12500, 326, 10233, 2891, 13582, 5602, 1038, 1582, 269, 1233, 15630, 1575, 4311, 15030, 18853, 8582, 318, 310, 2839, 8025, 267, 1582, 15030, 18853, 8582, 318, 4047, 20846, 994, 1038, 1582, 269, 1233, 6745, 571, 1356, 263, 271, 264, 1948, 307, 5281, 1055, 5496, 9337, 692, 1038, 1948, 19415, 547, 13691, 3403, 454, 1038, 1582, 269, 8266, 523, 7659, 4580, 10797, 825, 1219, 19415, 7659, 4580, 4311, 2187, 1038, 1582, 269, 1233, 269, 4289, 523, 4590, 1038, 1582, 269, 1233, 269, 517, 651, 2988, 816, 4311, 4732, 333, 820, 2529, 564, 291, 3925, 10000, 267, 834, 342, 5602, 1038, 1582, 269, 1233, 269, 517, 651, 2988, 816, 4311, 4732, 333, 820, 2529, 564, 291, 3925, 291, 1144, 267, 834, 338, 5602, 1038, 1582, 269, 1233, 269, 517, 651, 2988, 816, 4311, 4732, 333, 820, 2529, 564, 291, 3925, 29381, 267, 834, 320, 5602, 1038, 1582, 269, 1233, 269, 517, 651, 2988, 816, 4311, 4732, 333, 820, 2529, 564, 291, 3925, 14738, 267, 834, 323, 15419, 825, 1219, 32374, 4311, 2187, 1038, 1247, 711, 4311, 12171, 514, 880, 2187, 2018, 1582, 269, 1233, 269, 26303, 10797, 2018, 1948, 6744, 585, 513, 16580, 609, 519, 4604, 518, 454, 2018, 1582, 5861, 515, 1188, 32317, 518, 17686, 1707, 10797, 2018, 1948, 6744, 2436, 519, 13131, 22655, 519, 1426, 610, 711, 454, 2018, 1582, 5861, 515, 1188, 27409, 820, 15933, 291, 2700, 10797, 2018, 1948, 8844, 13131, 2898, 1560, 538, 9258, 1931, 454, 2018, 585, 7329, 343, 538, 2039, 12759, 4311, 4732, 333, 820, 269, 7853, 9984, 272, 267, 476, 271, 267, 910, 272, 2187, 3546, 1535, 815, 1582, 4732, 333, 820, 269, 7853, 314, 30915, 268, 272, 4940, 343, 14585, 4590, 3546, 586, 815, 1582, 4732, 333, 820, 269, 7853, 314, 30915, 268, 272, 4940, 344, 14585, 4590, 3546, 1582, 4732, 333, 820, 269, 7853, 314, 30915, 4940, 326, 9369, 3287, 267, 586, 2020, 2018, 1948, 8844, 10126, 476, 271, 547, 1141, 519, 2212, 568, 454, 2018, 952, 7003, 4311, 4732, 333, 820, 269, 7853, 264, 3436, 476, 271, 912, 3546, 1535, 815, 1582, 4732, 333, 820, 23584, 11859, 14585, 4590, 3546, 586, 815, 1582, 4732, 333, 820, 23584, 13885, 14585, 4590, 3546, 1582, 4732, 333, 820, 269, 7853, 314, 271, 4940, 326, 9369, 3287, 11971, 2020, 2018, 1582, 4732, 333, 820, 8160, 913, 10797, 2018, 1948, 6744, 585, 2212, 16580, 609, 519, 1560, 454, 2018, 1582, 5861, 515, 1188, 27409, 820, 23175, 28694, 17686, 1707, 10797, 2018, 942, 4732, 2748, 4311, 6155, 601, 599, 994, 13872, 825, 1219, 6744, 27409, 820, 15933, 291, 2700, 4311, 2187, 1038, 952, 1582, 4732, 333, 820, 23584, 6155, 2700, 4311, 8807, 797, 8807, 797, 264, 2999, 476, 736, 912, 2018, 1582, 8807, 797, 2529, 564, 305, 24655, 303, 3789, 4590, 2018, 1582, 4732, 333, 820, 14371, 992, 4590, 2018, 1582, 269, 16557, 815, 1582, 269, 16557, 1341, 476, 272, 692, 825, 1219, 6744, 32317, 518, 17686, 1707, 4311, 2187, 1038, 952, 27210, 2018, 1582, 4732, 333, 820, 23584, 11859, 14585, 3890, 3436, 476, 23310, 610, 1582, 4732, 333, 820, 23584, 11859, 14585, 3890, 2999, 910, 23310, 610, 454, 2018, 1582, 4732, 333, 820, 23584, 13885, 14585, 3890, 3436, 476, 23310, 610, 1582, 4732, 333, 820, 23584, 13885, 14585, 3890, 2999, 910, 23310, 454, 1038, 476, 2187, 2018, 1582, 4732, 333, 820, 269, 4910, 564, 4590, 2018, 1582, 12171, 514, 880, 815, 6936, 692, 825, 1219, 6744, 27409, 820, 23175, 28694, 17686, 1707, 4311, 2187, 1038, 585, 1560, 318, 4820, 538, 1582, 4732, 333, 820, 269, 7853, 912, 2018, 952, 1560, 318, 4820, 6155, 2700, 4311, 4732, 333, 820, 23584, 264, 2999, 476, 736, 912, 3546, 1582, 4732, 333, 820, 269, 4910, 564, 4590, 3546, 1582, 12171, 514, 880, 815, 6936, 692, 13872, 0, 3698, 2040, 5416, 14720, 2187, 825, 2132, 513, 17070, 692, 3698, 2040, 331, 5416, 14720, 2187, 825, 2132, 513, 17070, 28083, 265, 321, 2971, 24042, 14091, 491, 364, 27338, 425, 482, 364, 425, 502, 499, 14091, 364, 502, 425, 503, 502, 26012, 10563, 502, 353, 17432, 368, 21844, 372, 486, 424, 356, 478, 692, 1012, 10563, 507, 372, 424, 486, 502, 423, 354, 376, 10563, 501, 361, 423, 509, 361, 32174, 506, 29030, 488, 506, 425, 498, 490, 423, 350, 506, 14091, 364, 505, 32629, 498, 21844, 366, 377, 424, 504, 364, 454, 3698, 2040, 28949, 16911, 2187, 825, 9103, 815, 476, 271, 454, 825, 585, 1775, 538, 26571, 912, 1038, 9103, 6834, 1775, 692, 825, 2132, 9103, 692, 2745, 4433, 636, 263, 272, 267, 273, 4917, 2745, 4433, 636, 331, 263, 272, 267, 273, 11723, 2745, 4433, 636, 263, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 11723, 1012, 476, 1883, 267, 7407, 10563, 490, 491, 424, 506, 376, 423, 350, 506, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 424, 356, 482, 10563, 507, 372, 424, 486, 502, 423, 354, 376, 29030, 488, 506, 425, 498, 490, 423, 350, 506, 14091, 364, 505, 32629, 498, 21844, 366, 377, 424, 504, 364, 32629, 498, 2878, 10563, 480, 361, 424, 504, 358, 454, 1012, 10563, 499, 482, 423, 508, 502, 424, 503, 478, 21844, 364, 503, 27338, 14091, 493, 503, 424, 489, 506, 29306, 494, 10563, 501, 361, 423, 509, 361, 32174, 506, 14602, 502, 10563, 501, 361, 423, 509, 361, 10563, 507, 372, 424, 486, 502, 423, 354, 376, 14091, 364, 505, 32629, 498, 21844, 366, 377, 424, 504, 364, 32629, 498, 29030, 502, 372, 424, 370, 506, 424, 489, 506, 10563, 486, 506, 424, 482, 506, 32174, 478, 10563, 482, 508, 27338, 423, 358, 368, 10563, 499, 486, 423, 494, 357, 454, 1012, 2608, 267, 1262, 10563, 507, 372, 424, 486, 502, 32629, 498, 21844, 364, 503, 14602, 478, 21844, 366, 481, 14602, 482, 10563, 353, 495, 423, 367, 369, 10563, 480, 361, 424, 504, 358, 14091, 370, 486, 32174, 478, 454, 3698, 30775, 28949, 16911, 267, 2878, 330, 341, 16911, 2187, 825, 1820, 263, 16911, 994, 825, 1820, 17347, 341, 16911, 9239, 3698, 9949, 263, 2006, 18989, 2187, 825, 1820, 263, 2006, 2020, 3698, 9949, 273, 28442, 267, 2085, 267, 812, 18989, 2567, 258, 424, 368, 486, 422, 372, 364, 32174, 496, 10563, 508, 486, 32629, 498, 476, 17432, 357, 424, 486, 502, 32629, 498, 14091, 479, 507, 29306, 494, 10563, 480, 361, 424, 504, 358, 454, 825, 1820, 28442, 1341, 1193, 263, 2006, 264, 1341, 1193, 263, 720, 4917, 8931, 325, 15635, 263, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 4067, 8782, 338, 18081, 784, 3299, 720, 284, 1704, 267, 16557, 284, 1556, 267, 345, 2658, 8782, 332, 1446, 5073, 29239, 4590, 29239, 263, 16178, 2020, 29239, 273, 3488, 425, 503, 491, 3299, 8771, 267, 476, 1240, 264, 0, 258, 2411, 955, 268, 6657, 476, 272, 910, 4855, 519, 5624, 538, 513, 1592, 540, 4408, 476, 10900, 8894, 2745, 834, 20797, 476, 272, 910, 4855, 519, 5624, 538, 513, 1592, 540, 4408, 4840, 2745, 834, 5016, 258, 5903, 540, 4408, 454, 18566, 956, 815, 22373, 11990, 31143, 517, 2580, 834, 26469, 15966, 691, 2284, 2580, 834, 305, 22857, 853, 1551, 2580, 834, 24730, 26858, 257, 6540, 258, 8058, 538, 1142, 2012, 540, 1592, 519, 5048, 834, 2467, 568, 513, 2230, 538, 12223, 13090, 262, 338, 2012, 454, 258, 693, 1915, 12223, 1701, 609, 2012, 543, 1871, 454, 1721, 2012, 538, 10726, 956, 912, 825, 1820, 2891, 2467, 568, 513, 2230, 538, 257, 1341, 2012, 1341, 834, 262, 338, 2012, 693, 1915, 834, 266, 1193, 28442, 28827, 2891, 834, 4297, 1341, 834, 1701, 2020, 2745, 834, 754, 2259, 476, 272, 8206, 4840, 2745, 834, 5016, 258, 2411, 268, 6657, 476, 273, 910, 22417, 519, 4408, 547, 513, 834, 8310, 267, 3689, 257, 3898, 476, 2411, 734, 8894, 2745, 1412, 20797, 476, 273, 910, 22417, 519, 4408, 547, 513, 834, 8310, 267, 3689, 257, 3898, 7055, 2745, 834, 5016, 258, 5903, 540, 4408, 454, 18566, 956, 815, 22373, 11990, 31143, 517, 2580, 834, 26469, 15966, 691, 2284, 2580, 834, 305, 22857, 853, 1551, 2580, 834, 24730, 26858, 257, 6540, 258, 22417, 519, 4408, 547, 513, 834, 8310, 267, 3689, 257, 3898, 454, 1721, 2012, 538, 10726, 956, 912, 453, 11898, 815, 2012, 28827, 2891, 19515, 453, 14140, 12173, 815, 2012, 11468, 11898, 2639, 453, 18431, 12173, 815, 2012, 314, 11898, 266, 272, 281, 2639, 13537, 630, 18431, 12173, 1341, 834, 834, 1341, 1101, 12173, 2020, 2745, 834, 754, 2259, 476, 273, 4840, 2745, 834, 5016, 258, 476, 2411, 955, 268, 6657, 476, 274, 910, 22417, 8464, 547, 4484, 9344, 476, 10900, 734, 8894, 258, 24143, 689, 476, 272, 268, 1911, 3097, 16557, 815, 2039, 263, 272, 267, 6200, 2020, 258, 8058, 4484, 9344, 899, 2630, 2676, 12163, 288, 281, 476, 3445, 268, 1911, 454, 289, 281, 476, 3199, 268, 8660, 454, 290, 281, 476, 3583, 268, 8064, 454, 291, 281, 476, 2568, 268, 7597, 454, 293, 281, 2999, 2568, 454, 12163, 2745, 2891, 288, 281, 834, 1341, 1193, 263, 16557, 314, 8660, 8079, 1341, 29038, 257, 1341, 1193, 263, 16557, 314, 4200, 28413, 2745, 2891, 289, 281, 834, 1341, 1193, 263, 16557, 314, 8064, 8079, 1341, 29038, 257, 1341, 1193, 263, 16557, 314, 6434, 28413, 2745, 2891, 290, 281, 834, 1341, 1193, 263, 16557, 314, 7597, 8079, 1341, 29038, 257, 1341, 1193, 263, 16557, 314, 4281, 28413, 2745, 2891, 291, 281, 834, 1341, 1193, 263, 16557, 314, 6795, 8079, 1341, 29038, 257, 1341, 1193, 263, 16557, 314, 6924, 28413, 2745, 2891, 293, 281, 2999, 257, 1341, 1193, 263, 16557, 314, 6795, 8079, 2020, 2745, 257, 754, 2259, 476, 274, 30882, 2745, 3269, 692, 258, 2411, 955, 6657, 476, 275, 910, 8073, 12215, 540, 513, 10959, 3337, 12803, 476, 2411, 9339, 8894, 5228, 9095, 6853, 1104, 26195, 267, 8073, 8722, 1155, 5035, 318, 2006, 1771, 267, 5192, 300, 612, 1137, 692, 339, 787, 912, 825, 1948, 3733, 29683, 454, 825, 26195, 269, 4103, 10628, 815, 476, 834, 290, 281, 11138, 16753, 23911, 11138, 11907, 5016, 825, 1948, 22276, 3337, 12803, 454, 825, 10959, 815, 834, 7093, 27457, 1220, 279, 5649, 902, 11075, 335, 5016, 825, 1948, 5903, 609, 1296, 281, 476, 1220, 280, 267, 476, 1001, 271, 267, 476, 1001, 272, 543, 476, 1001, 273, 454, 825, 585, 1032, 538, 2039, 263, 1220, 280, 267, 1001, 274, 17107, 1038, 1948, 8745, 585, 1007, 3758, 454, 1038, 1007, 12803, 815, 834, 7093, 27457, 257, 1341, 1193, 12169, 792, 264, 1341, 834, 5649, 902, 11075, 335, 5016, 1038, 1948, 8073, 2185, 8900, 12215, 540, 3758, 23984, 30066, 2776, 27457, 1220, 279, 5649, 902, 11075, 335, 454, 1038, 8073, 8722, 1155, 5035, 318, 2006, 1771, 263, 523, 341, 269, 4103, 10628, 267, 1007, 12803, 267, 834, 17269, 19860, 2580, 10959, 2676, 14030, 2018, 834, 291, 3041, 5723, 29612, 2580, 834, 291, 3041, 5723, 29612, 2580, 10959, 994, 258, 1403, 4755, 930, 5470, 454, 21955, 912, 825, 1948, 8058, 6835, 585, 5470, 454, 825, 1820, 5192, 300, 612, 1137, 10797, 258, 476, 2411, 734, 6657, 476, 276, 910, 1849, 760, 782, 4183, 5049, 538, 513, 2520, 617, 520, 15390, 476, 2411, 955, 8894, 5228, 9095, 6853, 1104, 26195, 267, 5410, 300, 20687, 267, 1849, 760, 318, 534, 4519, 267, 5903, 8722, 1155, 12218, 525, 454, 3097, 258, 8073, 19971, 6119, 454, 25901, 318, 4103, 10628, 815, 834, 290, 281, 11138, 16753, 23911, 11138, 11907, 11138, 24433, 3052, 27219, 4840, 328, 16305, 12774, 815, 834, 290, 281, 11138, 16753, 23911, 11138, 11907, 11138, 296, 16305, 3052, 27219, 11138, 296, 16305, 4840, 3097, 258, 5192, 513, 1592, 540, 782, 4183, 5049, 538, 519, 7330, 17835, 454, 523, 341, 269, 4103, 10628, 815, 721, 320, 318, 4103, 10628, 454, 10623, 1155, 12218, 815, 5903, 8722, 1155, 12218, 525, 10797, 339, 787, 281, 3097, 258, 31230, 998, 782, 7330, 4183, 5049, 454, 825, 585, 4183, 538, 4183, 12218, 912, 3097, 1038, 1948, 20472, 519, 3977, 2619, 454, 1038, 856, 5141, 760, 8722 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2462, 4308, 269, 1924, 267, 15502, 269, 1411, 1522, 581, 6031, 267, 782, 1318, 267, 594, 3580, 1175, 3314, 547, 2673, 519, 3758, 269, 4270, 267, 602, 779, 1390, 269, 1403, 596, 798, 3314, 547, 2673, 519, 3758, 267, 855, 1776, 3390, 666, 4755, 952, 538, 1063, 950, 596, 1930, 519, 3758, 543, 596, 2673, 519, 3758, 267, 930, 1826, 540, 5470, 4386, 267, 610, 707, 1982, 26301, 610, 519, 3593, 7475, 707, 1982, 1354, 596, 4076, 6806, 519, 3758, 269, 1924, 1018, 596, 991, 547, 798, 950, 596, 2461, 2324, 609, 6119, 568, 2864, 982, 3257, 621, 538, 713, 1259, 267, 543, 1175, 32467, 602, 596, 2461, 2965, 27613, 581, 2111, 547, 2673, 519, 3758, 1310, 568, 596, 991, 547, 946, 513, 2796, 9614, 543, 649, 2796, 9614, 568, 609, 267, 543, 594, 3580, 2491, 2186, 540, 1018, 602, 568, 267, 855, 519, 1259, 602, 713, 3009, 1131, 1413, 538, 513, 2796, 9614, 568, 519, 1739, 1930, 3758, 12297, 29255, 307, 538, 2328, 7154, 607, 674, 543, 1287, 674, 12297, 267, 1318, 888, 4517, 1287, 596, 1131, 2328, 32597, 267, 543, 1287, 596, 2965, 798, 711, 991, 547, 16924, 2673, 519, 3758, 950, 596, 1930, 513, 3758, 538, 713, 1259, 269, 1924, 1018, 713, 1281, 1318, 1934, 568, 2327, 602, 1100, 2339, 1018, 4523, 267, 713, 3758, 568, 2469, 547, 581, 6806, 269, 1924, 950, 596, 1930, 519, 3758, 267, 596, 1930, 621, 607, 674, 596, 666, 1287, 798, 782, 540, 707, 4238, 3330, 540, 713, 8700, 3948, 269, 1656, 1287, 607, 4166, 607, 713, 609, 3948, 568, 2944, 267, 621, 786, 8850, 2673, 519, 3758, 269, 1656, 952, 606, 9868, 4386, 267, 621, 786, 2673, 519, 3758, 1354, 519, 1982, 2165, 7149, 269, 1924, 602, 568, 1946, 596, 946, 513, 2796, 9614, 269, 1656, 2731, 782, 519, 2796, 9614, 568, 267, 568, 1945, 602, 16404, 806, 513, 30749, 5106, 1310, 713, 8700, 3948, 568, 2944, 267, 2436, 602, 581, 1317, 519, 1982, 1835, 14414, 610, 1317, 621, 1175, 8737, 22589, 782, 519, 6898, 563, 3383, 972, 616, 1082, 824, 2053, 538, 799, 1210, 513, 2796, 9614, 568, 1360, 267, 1360, 1271, 269, 1403, 596, 1616, 547, 2057, 513, 19619, 540, 1761, 2042, 267, 855, 2731, 1175, 1589, 540, 1210, 835, 267, 8164, 596, 723, 2186, 540, 513, 30749, 5106, 602, 2115, 547, 2049, 269, 3767, 267, 519, 3364, 568, 596, 666, 1406, 1175, 946, 713, 2796, 9614, 9170, 269, 901, 30749, 5106, 2115, 547, 581, 8045, 676, 1945, 538, 713, 2013, 267, 950, 649, 946, 1930, 899, 713, 267, 30610, 267, 621, 28352, 713, 30749, 5106, 269, 1924, 621, 6487, 267, 15502, 267, 2899, 594, 6557, 2944, 609, 713, 267, 594, 6557, 2469, 547, 2673, 519, 3758, 269, 1703, 779, 513, 2603, 540, 824, 1919, 538, 5124, 602, 723, 2796, 9946, 3710, 538, 267, 855, 1175, 4941, 547, 1397, 596, 1934, 269, 1403, 596, 616, 2324, 609, 6119, 610, 1022, 4199, 602, 2115, 547, 581, 19345, 909, 267, 2119, 547, 946, 513, 2796, 9614, 267, 610, 693, 2547, 1413, 543, 1294, 952, 513, 2796, 9614, 568, 2139, 585, 519, 4199, 602, 596, 2461, 3843, 547, 946, 563, 8253, 4635, 2037, 636, 4733, 454, 3383, 3001, 593, 547, 519, 1985, 3983, 2259, 267, 799, 568, 711, 1210, 519, 26246, 1599, 267, 950, 621, 779, 10858, 547, 946, 621, 269, 3767, 267, 519, 26246, 1599, 568, 1945, 602, 2636, 596, 547, 1205, 1569, 547, 519, 6221, 267, 607, 1134, 607, 519, 4994, 540, 2609, 538, 513, 1592, 269, 1924, 952, 649, 2461, 3168, 693, 713, 1383, 1318, 1934, 267, 649, 723, 513, 1592, 269, 1284, 1616, 547, 8520, 998, 621, 543, 649, 1616, 1569, 547, 519, 4994, 269, 1924, 6148, 649, 1616, 547, 1820, 519, 4994, 269, 1656, 1287, 649, 1616, 1569, 547, 782, 540, 519, 1114, 2418, 267, 782, 540, 519, 2609, 538, 519, 1592, 269, 3767, 267, 519, 2757, 1259, 547, 798, 713, 538, 1034, 5752, 4654, 568, 1018, 596, 1294, 1318, 1934, 563, 2171, 2161, 585, 594, 538, 10443, 577, 267, 649, 979, 998, 8726, 519, 3259, 540, 519, 1592, 568, 269, 1924, 8520, 998, 782, 540, 519, 17523, 267, 649, 1205, 1569, 547, 519, 1871, 540, 1142, 540, 519, 3688, 676, 4994, 532, 621, 538, 519, 1592, 269, 1656, 1287, 649, 1820, 856, 8726, 519, 4994, 568, 543, 519, 1871, 269, 1924, 1577, 779, 723, 513, 1413, 1934, 269, 1284, 1205, 267, 596, 917, 267, 1577, 779, 20801, 1934, 267, 2097, 593, 476, 271, 476, 272, 267, 476, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 275, 269, 1924, 593, 543, 865, 8521, 269, 3767, 713, 568, 5386, 269, 1411, 666, 798, 713, 269, 898, 779, 711, 602, 3983, 267, 855, 519, 1655, 2259, 538, 5124, 568, 547, 798, 519, 1739, 2185, 563, 296, 26893, 4406, 538, 513, 1003, 4733, 700, 4306, 1820, 269, 594, 26893, 4406, 267, 543, 1631, 596, 4076, 17515, 713, 1899, 1318, 1934, 267, 543, 596, 4076, 2965, 1500, 621, 811, 28505, 543, 4443, 547, 1265, 1018, 4756, 568, 13936, 519, 1871, 540, 519, 3693, 543, 1018, 4756, 568, 13936, 519, 4994, 269, 1924, 1577, 803, 1175, 32135, 713, 585, 513, 2034, 269, 1924, 267, 607, 594, 1767, 267, 1018, 513, 1003, 4733, 786, 798, 568, 2285, 596, 519, 4994, 267, 607, 1134, 607, 519, 1871, 269, 634, 1101, 6221, 1934, 267, 519, 1101, 4756, 1934, 568, 2469, 547, 581, 519, 4994, 269, 634, 2034, 1871, 1934, 568, 2469, 547, 581, 519, 4890, 1871, 540, 519, 6221, 269, 1924, 952, 594, 2196, 713, 267, 649, 1205, 519, 3169, 1482, 1267, 607, 1354, 269, 1656, 972, 596, 979, 267, 946, 513, 1003, 4733, 538, 513, 3510, 1141, 621, 2306, 2631, 547, 946, 621, 563, 3086, 267, 513, 1003, 4733, 3085, 1406, 1175, 960, 609, 8638, 269, 898, 1568, 609, 1022, 594, 614, 762, 1843, 269, 1924, 649, 3580, 960, 609, 12673, 269, 898, 786, 960, 609, 21594, 269, 898, 786, 960, 609, 5036, 543, 594, 3580, 1397, 596, 606, 1383, 609, 513, 8675, 269, 1924, 1577, 779, 2161, 649, 723, 267, 32597, 267, 26893, 267, 835, 2012, 267, 26893, 1079, 267, 543, 1577, 779, 26246, 998, 267, 30610, 267, 594, 1577, 779, 1175, 1289, 621, 667, 1631, 269, 28514, 269, 1656, 1577, 779, 2196, 713, 269, 1656, 1631, 5469, 649, 1185, 4642, 269, 28982, 267, 835, 2012, 269, 1284, 666, 798, 519, 1482, 609, 513, 1305, 269, 1924, 476, 272, 267, 476, 273, 267, 476, 274, 267, 15502, 269, 16440, 543, 2196, 269, 23893, 3364, 602, 1568, 269, 1656, 1287, 6368, 267, 540, 1576, 267, 649, 666, 798, 713, 609, 513, 5569, 269, 1924, 32597, 269, 3733, 2012, 568, 7033, 269, 2913, 779, 2196, 713, 543, 5469, 649, 1205, 621, 2324, 607, 649, 1131, 2503, 269, 1924, 602, 779, 782, 585, 713, 3983, 2259, 269, 3807, 3314, 713, 26246, 1599, 6818, 543, 596, 1058, 946, 621, 952, 621, 2306, 2631, 547, 798, 865, 563, 7021, 337, 4575, 29740, 24493, 27511, 454, 5472, 1318, 269, 1924, 519, 2063, 3983, 2259, 594, 723, 585, 596, 568, 513, 267, 1776, 2656, 835, 269, 1656, 713, 568, 3274, 547, 711, 936, 20183, 3710, 538, 4408, 538, 5124, 269, 1548, 594, 1611, 676, 602, 568, 267, 798, 711, 2012, 4632, 267, 1919, 602, 616, 5124, 17161, 267, 585, 1383, 267, 798, 711, 1711, 513, 4756, 1572, 9517, 610, 513, 4756, 1572, 23407, 269, 1411, 1522, 581, 15673, 539, 547, 23407, 1317, 899, 513, 23407, 3009, 610, 1945, 267, 1318, 286, 1684, 711, 2012, 513, 4756, 1592, 269, 1411, 798, 711, 1616, 547, 798, 713, 269, 634, 2601, 1946, 568, 267, 952, 596, 798, 713, 267, 596, 771, 762, 610, 2186, 540, 4894, 519, 2702, 547, 946, 1018, 891, 3710, 2987, 5124, 17161, 2965, 616, 563, 3383, 952, 594, 2012, 513, 4756, 9517, 267, 594, 666, 1631, 1100, 3476, 946, 519, 9517, 1599, 269, 1656, 519, 9517, 1599, 3947, 596, 519, 3965, 2232, 540, 513, 5124, 1843, 269, 1924, 952, 594, 798, 9517, 311, 1631, 267, 596, 2461, 2469, 547, 1294, 602, 594, 1205, 606, 5470, 693, 519, 1439, 269, 8629, 568, 711, 1289, 762, 269, 24641, 952, 594, 6085, 713, 856, 267, 1631, 267, 594, 6557, 1869, 2111, 547, 946, 519, 1599, 269, 1924, 952, 594, 4941, 547, 1820, 519, 9517, 267, 713, 1568, 267, 621, 1568, 607, 513, 4756, 607, 594, 1131, 2503, 267, 855, 1586, 267, 594, 666, 1100, 3476, 946, 1018, 519, 4890, 3710, 2987, 5124, 1599, 568, 269, 2701, 1175, 12582, 1406, 2012, 8631, 899, 713, 269, 1411, 917, 267, 1482, 4422, 609, 23407, 269, 23893, 4422, 609, 8638, 563, 3086, 1577, 779, 2161, 596, 2731, 1616, 547, 2012, 707, 4756, 9517, 267, 23407, 267, 610, 1592, 610, 1022, 824, 3710, 2987, 5124, 20438, 269, 1403, 596, 2731, 1616, 547, 798, 602, 267, 1101, 540, 782, 267, 594, 8910, 4363, 1175, 1810, 1406, 798, 621, 269, 1809, 1018, 596, 666, 798, 568, 1039, 513, 911, 4979, 20838, 269, 901, 568, 519, 15007, 269, 1403, 596, 2731, 991, 547, 2012, 1945, 267, 30610, 267, 513, 3710, 2987, 20438, 538, 5124, 267, 1287, 596, 1175, 2322, 606, 20838, 1310, 596, 1223, 2322, 606, 20838, 1354, 950, 596, 2322, 606, 20838, 1354, 713, 568, 519, 5124, 15007, 585, 1118, 713, 513, 4357, 14487, 610, 1118, 713, 513, 4357, 4756, 563, 3383, 8259, 602, 779, 1018, 596, 2461, 703, 2056, 267, 1287, 596, 1058, 2965, 798, 513, 911, 4979, 20838, 269, 1924, 602, 779, 782, 585, 713, 2063, 3983, 2259, 4667, 7168, 16022, 543, 3551, 267, 855, 594, 3112, 2995, 596, 875, 1082, 1004, 798, 713, 269, 1656, 621, 779, 2731, 24858, 1317, 519, 16105, 10223, 4991, 782, 3190, 539, 909, 585, 621, 269, 1656, 1287, 540, 1576, 596, 632, 716, 10675, 519, 2702, 547, 2965, 946, 1018, 713, 3710, 2987, 20438, 568, 269, 0, 763, 8177, 540, 9751, 543, 9177, 593, 15557, 18880, 543, 3131, 8526, 693, 519, 2136, 2276, 8136, 23910, 3427, 454, 303, 698, 1588, 610, 9012, 4032, 912, 1607, 1382, 4564, 519, 1101, 2079, 540, 519, 7145, 540, 8136, 11653, 11464, 7127, 1377, 5718, 2866, 269, 634, 1353, 6027, 519, 3355, 5718, 1871, 31223, 543, 11994, 540, 23910, 20229, 9978, 6092, 661, 302, 6195, 1053, 543, 6027, 519, 2242, 538, 5718, 2418, 689, 519, 11157, 8696, 4374, 540, 5718, 2866, 799, 519, 1053, 13984, 269, 1452, 2242, 538, 8456, 941, 1287, 3379, 547, 23910, 20229, 21992, 6092, 661, 302, 3722, 1053, 5718, 2418, 547, 1683, 513, 15418, 540, 519, 6044, 269, 634, 661, 302, 6195, 1053, 616, 2866, 547, 8263, 5718, 7158, 799, 519, 661, 302, 3722, 1053, 941, 538, 269, 589, 4351, 3732, 540, 1870, 3401, 2418, 941, 1287, 3379, 547, 519, 8136, 8030, 2418, 547, 2721, 2686, 5718, 16198, 269, 634, 1353, 5462, 602, 5718, 2418, 666, 581, 6026, 543, 4121, 269, 634, 661, 302, 6195, 1053, 2418, 941, 9168, 543, 4547, 6251, 538, 1899, 547, 519, 661, 302, 3722, 1053, 2418, 593, 5718, 269, 634, 1353, 2417, 5462, 602, 519, 14022, 903, 5718, 2418, 616, 9244, 6766, 676, 519, 4108, 2528, 799, 568, 1759, 593, 513, 1305, 540, 4295, 2418, 543, 4162, 269, 634, 661, 302, 3722, 5718, 2418, 941, 1336, 547, 581, 3648, 1114, 689, 519, 1870, 5718, 2418, 269, 634, 1353, 1031, 519, 3590, 1738, 13038, 5426, 9866, 3569, 540, 20492, 20219, 7876, 8104, 6293, 547, 5531, 543, 5659, 519, 1239, 269, 901, 1907, 568, 513, 8810, 4570, 543, 6325, 1505, 585, 11018, 543, 7421, 519, 1239, 269, 634, 8136, 568, 1210, 1896, 2553, 547, 9585, 519, 2866, 543, 967, 24934, 337, 1588, 883, 922, 2528, 563, 268, 13639, 17086, 543, 20871, 0, 2691, 3168, 585, 1344, 827, 513, 1880, 3390, 875, 1419, 798, 596, 2119, 547, 5706, 12886, 4724, 707, 1378, 1448, 540, 2070, 286, 901, 7084, 12134, 596, 547, 4497, 538, 713, 2460, 540, 2565, 3206, 269, 3557, 707, 2990, 593, 519, 1888, 596, 5697, 538, 519, 10432, 476, 274, 7084, 4762, 997, 1154, 7348, 9557, 10507, 10576, 1614, 22402, 630, 516, 3517, 264, 689, 2507, 15566, 2542, 1879, 3168, 585, 1344, 827, 513, 1880, 3390, 267, 875, 1419, 798, 596, 2119, 547, 678, 454, 1432, 949, 596, 991, 547, 8362, 960, 593, 630, 324, 3052, 269, 1582, 18221, 910, 1410, 21622, 264, 538, 2502, 538, 707, 3347, 609, 824, 1053, 20485, 31548, 2361, 16929, 543, 1346, 693, 707, 2361, 13307, 286, 1230, 2850, 609, 875, 596, 1544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1282, 269, 24295, 1234, 6473, 4437, 15701, 1763, 2271, 267, 476, 1001, 276, 281, 476, 275, 2767, 279, 1691, 563, 268, 1547, 23340, 700, 297, 267, 1546, 14208, 690, 14160, 267, 28553, 631, 269, 476, 1220, 274, 269, 1133, 26330, 11050, 2926, 15299, 540, 20188, 986, 30835, 8761, 1164, 23506, 585, 15202, 2188, 269, 28540, 14844, 331, 6298, 2233, 7330, 267, 476, 1911, 281, 476, 6812, 272, 274, 268, 6812, 272, 279, 563, 268, 1547, 17793, 529, 1512, 595, 267, 1696, 620, 269, 476, 1001, 274, 269, 16816, 1229, 3940, 5121, 543, 10408, 11444, 538, 4049, 7178, 562, 850, 2068, 538, 8983, 269, 12813, 24382, 21450, 267, 476, 279, 281, 552, 6924, 274, 1240, 563, 268, 1547, 717, 534, 777, 987, 4275, 9857, 631, 298, 267, 10127, 684, 752, 15546, 22995, 267, 4856, 16699, 5336, 523, 754, 14162, 808, 269, 476, 1001, 277, 269, 21023, 539, 3940, 4205, 540, 17692, 3951, 16039, 949, 8774, 1769, 593, 6127, 540, 32760, 3644, 14001, 2890, 576, 874, 3315, 543, 3984, 12289, 269, 674, 1911, 271, 4910, 267, 476, 276, 281, 476, 4489, 280, 563, 268, 1547, 15168, 1245, 717, 267, 25362, 2287, 808, 267, 1284, 580, 601, 645, 267, 13100, 1115, 577, 10458, 570, 269, 476, 1001, 278, 269, 19871, 29568, 1282, 519, 7657, 643, 6400, 543, 646, 335, 659, 643, 6400, 1272, 4783, 269, 20703, 8426, 26287, 558, 267, 476, 1626, 281, 590, 4037, 4149, 11011, 563, 268, 1547, 13983, 828, 772, 293, 267, 10158, 631, 269, 476, 1220, 277, 269, 589, 2706, 14683, 3118, 547, 3644, 3968, 269, 8426, 267, 476, 14862, 281, 476, 278, 6078, 268, 4037, 275, 563, 268, 1547, 2871, 345, 2006, 631, 294, 267, 918, 14873, 717, 269, 476, 1220, 274, 269, 667, 24122, 543, 28939, 20178, 20723, 8611, 538, 519, 17113, 281, 4245, 543, 2591, 269, 808, 7885, 22870, 1503, 267, 476, 2767, 281, 476, 272, 268, 1724, 563, 268, 1547, 27725, 9116, 22601, 267, 22216, 787, 590, 269, 476, 1001, 279, 269, 4469, 822, 643, 6400, 4835, 1436, 568, 14931, 676, 513, 2450, 17466, 1439, 7514, 6776, 13374, 269, 28540, 14844, 331, 6298, 2233, 7330, 267, 476, 12893, 281, 476, 275, 2190, 277, 268, 28883, 272, 563, 268, 1547, 8361, 5681, 9049, 269, 476, 1001, 276, 269, 634, 9525, 540, 2890, 30344, 2737, 543, 957, 514, 1282, 519, 3968, 540, 5545, 29363, 4345, 3644, 538, 5778, 4565, 770, 5448, 1591, 1899, 267, 594, 17307, 3953, 269, 4437, 15701, 1763, 2271, 267, 476, 1001, 276, 281, 476, 277, 4817, 27543, 563, 268, 1547, 17921, 590, 267, 27958, 589, 267, 2473, 340, 2098, 300, 267, 589, 10098, 7537, 267, 853, 787, 777, 684, 2088, 594, 267, 654, 784, 8713, 267, 5696, 656, 517, 654, 267, 570, 2583, 333, 758, 990, 661, 267, 717, 7238, 12076, 631, 267, 5295, 595, 267, 20122, 2006, 570, 290, 269, 476, 1001, 278, 269, 32760, 3644, 554, 6359, 2931, 2566, 11491, 2544, 5946, 543, 1110, 12885, 519, 3984, 2566, 3210, 269, 808, 22870, 1503, 281, 533, 4512, 281, 808, 9654, 269, 21916, 10619, 268, 1704, 563, 268, 1547, 808, 7315, 631, 298, 267, 17578, 2967, 570, 307, 267, 16441, 14160, 267, 17578, 2967, 16671, 267, 4258, 978, 962, 299, 267, 10557, 962, 290, 267, 25391, 595, 312, 267, 6931, 962, 306, 267, 26284, 8713, 267, 6931, 700, 307, 267, 6931, 18435, 269, 476, 1001, 278, 269, 667, 24122, 3644, 3968, 4679, 2890, 6921, 658, 1591, 9194, 269, 2233, 3115, 267, 476, 278, 281, 476, 11011, 563, 268, 1547, 17833, 807, 631, 267, 10609, 14505, 681, 267, 1744, 12609, 631, 267, 715, 664, 631, 267, 966, 7806, 328, 590, 269, 476, 1001, 274, 269, 5545, 29363, 4345, 3644, 3468, 338, 27090, 2281, 998, 513, 804, 987, 12541, 785, 8817, 1439, 7514, 6776, 7271, 269, 808, 22870, 1503, 267, 476, 9262, 281, 476, 16825, 268, 14341, 563, 268, 1547, 20855, 331, 11535, 681, 267, 623, 3430, 534, 752, 1080, 752, 592, 19301, 267, 16429, 15939, 1731, 592, 590, 267, 16441, 5254, 267, 774, 784, 2692, 517, 12027, 323, 966, 269, 476, 1220, 280, 269, 1325, 614, 725, 538, 957, 514, 11118, 25063, 10198, 543, 22882, 531, 3940, 23838, 538, 1480, 32361, 2281, 13251, 676, 28939, 3644, 3968, 543, 17932, 787, 540, 32151, 22889, 1098, 754, 582, 16773, 9194, 269, 808, 26287, 727, 1763, 267, 476, 279, 281, 476, 14838, 272, 268, 16348, 273, 563, 268, 1547, 20855, 331, 11535, 681, 267, 623, 3430, 534, 752, 1080, 752, 592, 19301, 267, 16429, 15939, 1731, 592, 590, 267, 16441, 5254, 267, 774, 784, 2692, 517, 12027, 323, 966, 269, 476, 1001, 271, 320, 269, 634, 21866, 514, 3491, 974, 553, 727, 13374, 568, 1271, 585, 28939, 3644, 3968, 538, 3119, 1480, 32361, 2281, 269, 808, 26287, 727, 1763, 267, 476, 280, 281, 476, 5392, 277, 271, 268, 5392, 278, 272, 563, 268, 1547, 20855, 331, 11535, 681, 267, 623, 3430, 534, 752, 1080, 752, 592, 19301, 267, 16429, 15939, 1731, 592, 590, 267, 16441, 5254, 267, 774, 784, 2692, 517, 12027, 323, 966, 269, 476, 1001, 271, 321, 269, 966, 2939, 514, 25998, 609, 26945, 6046, 10775, 31265, 24418, 1231, 543, 28939, 1875, 560, 24780, 3940, 476, 272, 543, 568, 1271, 585, 10194, 18643, 543, 5305, 269, 20703, 12713, 306, 22438, 267, 476, 277, 281, 476, 278, 4817, 268, 3199, 277, 563, 268, 1547, 10609, 611, 6390, 590, 267, 966, 13370, 4752, 5084, 267, 18681, 595, 267, 590, 1342, 822, 520, 600, 623, 267, 14333, 517, 22085, 267, 15651, 700, 267, 590, 15115, 24473, 681, 267, 19300, 553, 4599, 644, 515, 590, 267, 11969, 718, 717, 267, 717, 1026, 12921, 990, 631, 267, 918, 7795, 333, 681, 297, 267, 28828, 571, 681, 267, 5487, 15575, 29382, 269, 476, 1001, 272, 269, 589, 2168, 5872, 3060, 540, 28939, 3644, 543, 1480, 5946, 269, 20703, 8426, 26287, 558, 267, 476, 1015, 29687, 9340, 2567, 476, 23713, 6942, 563, 268, 1547, 2274, 6601, 2023, 631, 267, 2725, 2106, 1408, 4149, 577, 1157, 4802, 700, 267, 5548, 334, 790, 589, 267, 595, 719, 731, 645, 267, 2052, 731, 645, 267, 632, 30340, 718, 24809, 2473, 267, 27055, 623, 267, 15887, 712, 19734, 4211, 558, 2041, 595, 267, 20769, 974, 879, 966, 267, 5096, 24065, 715, 269, 476, 1001, 272, 269, 4469, 822, 643, 6400, 22085, 274, 543, 22085, 276, 5946, 5872, 3060, 281, 513, 1164, 28443, 1584, 13803, 1079, 268, 1506, 8455, 5496, 269, 645, 10157, 19287, 2723, 267, 476, 1556, 281, 476, 23056, 563, 268, 1547, 10557, 808, 310, 267, 31436, 16066, 269, 476, 1220, 275, 269, 589, 24519, 268, 1613, 540, 4639, 20407, 3644, 14001, 10408, 2242, 1282, 3968, 269, 808, 15089, 11893, 27370, 565, 267, 476, 273, 281, 476, 277, 563, 268, 1547, 2274, 328, 590, 267, 1696, 620, 269, 476, 1001, 274, 269, 681, 8016, 298, 568, 3238, 538, 642, 2939, 514, 8485, 800, 3175, 543, 30337, 618, 13251, 676, 28939, 3644, 269, 8426, 4437, 32554, 4437, 19398, 267, 476, 6858, 281, 476, 15836, 274, 268, 16328, 273, 563, 268, 1547, 20568, 16671, 267, 18681, 962, 301, 267, 9149, 2098, 312, 267, 17921, 808, 311, 267, 31481, 808, 267, 20855, 700, 267, 31481, 645, 267, 16441, 623, 312, 269, 476, 1001, 278, 269, 15887, 276, 543, 15887, 1556, 616, 2838, 585, 804, 987, 12541, 17466, 1439, 26014, 2670, 540, 5545, 29363, 4345, 3644, 538, 645, 295, 298, 268, 2641, 2281, 269, 808, 22870, 1503, 267, 476, 11011, 281, 476, 11011, 4877, 4512, 281, 324, 18733, 1724, 268, 1704, 563, 268, 1547, 25120, 3626, 962, 267, 30554, 25431, 570, 267, 670, 848, 2041, 681, 267, 13690, 3120, 570, 267, 8575, 20364, 589, 267, 28635, 1695, 20076, 670, 267, 590, 11867, 670, 269, 476, 1001, 275, 269, 19372, 618, 540, 9477, 1062, 585, 4639, 20407, 3644, 7127, 543, 2963, 540, 2890, 30344, 2544, 9525, 538, 9325, 3560, 269, 808, 22870, 1503, 10613, 267, 476, 4198, 281, 476, 7742, 268, 27038, 563, 268, 1547, 2405, 580, 525, 6062, 16998, 267, 670, 15077, 577, 589, 297, 267, 6790, 321, 869, 667, 301, 267, 21208, 565, 747, 19053, 1872, 747, 808, 267, 20307, 29273, 269, 476, 1220, 279, 269, 4639, 20407, 3644, 7127, 3340, 8501, 11656, 9245, 2890, 3256, 1622, 543, 568, 4830, 540, 21229, 822, 15883, 274, 5043, 514, 269, 808, 22870, 1503, 267, 476, 11025, 281, 476, 276, 2641, 273, 268, 276, 2641, 280, 563, 268, 1547, 8585, 3626, 8566, 2350, 807, 808, 267, 25661, 807, 5336, 599, 7394, 631, 293, 267, 30954, 22222, 4211, 4046, 334, 594, 269, 476, 1001, 272, 269, 634, 7681, 540, 10194, 5946, 609, 3984, 1591, 10085, 928, 514, 3334, 1282, 3644, 3968, 269, 30264, 7034, 808, 267, 476, 30116, 281, 476, 26482, 278, 268, 22145, 272, 563, 268, 1547, 18703, 333, 744, 299, 267, 717, 4150, 1777, 320, 645, 297, 267, 23101, 29273, 269, 476, 1001, 273, 269, 32018, 585, 957, 514, 10198, 538, 1439, 26014, 2670, 269, 7788, 340, 4860, 4437, 32554, 267, 476, 10037, 281, 476, 5780, 272, 268, 6924, 277, 563, 268, 1547, 715, 11867, 631, 267, 28635, 30245, 570, 267, 26232, 3385, 918, 267, 27956, 2033, 594, 267, 13019, 1846, 26854, 570, 269, 476, 1220, 274, 269, 3955, 12401, 538, 5545, 29363, 4345, 3644, 3968, 540, 966, 3266, 2281, 676, 513, 524, 566, 545, 16822, 13023, 32281, 3075, 267, 8392, 335, 668, 8872, 269, 808, 2637, 22870, 1503, 267, 476, 10019, 281, 476, 15876, 278, 268, 14690, 272, 563, 268, 1547, 31436, 16066, 269, 476, 2735, 278, 269, 8299, 2858, 24780, 2090, 540, 31311, 329, 514, 3644, 29795, 539, 589, 26433, 11549, 641, 1112, 639, 2281, 269, 808, 2637, 22870, 1503, 267, 476, 6924, 27456, 339, 476, 273, 2567, 476, 276, 6507, 268, 6812, 273, 563, 268, 1547, 31436, 16066, 267, 15173, 9399, 269, 476, 2735, 280, 269, 4469, 822, 643, 6400, 3968, 281, 1898, 3706, 2858, 24780, 2242, 543, 7681, 540, 31311, 329, 514, 3644, 22085, 274, 3940, 609, 2890, 30344, 2737, 269, 5246, 22870, 1503, 267, 476, 11793, 281, 476, 9818, 268, 6344, 563, 268, 1547, 31436, 16066, 267, 16677, 619, 523, 23404, 267, 1677, 327, 645, 295, 267, 4639, 12537, 661, 294, 269, 476, 2735, 274, 269, 16332, 1993, 1663, 2803, 1417, 4609, 538, 2357, 334, 2281, 7783, 609, 519, 7657, 643, 6400, 31311, 329, 514, 269, 5246, 22870, 1503, 267, 476, 4281, 281, 476, 10082, 268, 5002, 563, 268, 1547, 31436, 16066, 267, 1215, 324, 808, 267, 590, 2240, 643, 553, 534, 966, 267, 25109, 10249, 808, 297, 269, 476, 1960, 275, 269, 4469, 822, 643, 6400, 4639, 20407, 630, 306, 541, 2378, 754, 264, 19838, 816, 693, 519, 11919, 9245, 269, 5246, 22870, 1503, 267, 476, 15389, 281, 476, 24062, 268, 27123, 563, 268, 1547, 21208, 565, 599, 645, 267, 12480, 5979, 631, 267, 15196, 324, 11483, 267, 590, 718, 21191, 269, 476, 1001, 272, 269, 2974, 583, 340, 3644, 538, 4000, 269, 21070, 645, 11448, 2098, 3019, 5328, 2598, 267, 476, 1556, 281, 476, 15221, 278, 268, 16318, 274, 563, 268, 1547, 1773, 12874, 573, 537, 589, 267, 10158, 631, 269, 476, 1220, 272, 269, 5164, 531, 3560, 543, 519, 11118, 18929, 13987, 269, 4354, 337, 25709, 8426, 22776, 267, 476, 1724, 281, 476, 9032, 268, 10755, 563, 268, 1547, 8000, 758, 541, 631, 267, 31704, 9366, 631, 267, 808, 3073, 864, 341, 24989, 808, 267, 2997, 338, 545, 19053, 1575, 4545, 570, 267, 2098, 648, 322, 681, 269, 476, 1001, 275, 269, 32402, 25645, 29363, 4345, 3644, 3468, 338, 3731, 4230, 24945, 5052, 855, 1281, 711, 1860, 741, 23812, 269, 12813, 24382, 21450, 267, 476, 280, 281, 552, 279, 7830, 866, 563, 268, 1547, 681, 11047, 1380, 523, 14408, 267, 11918, 625, 517, 29382, 267, 670, 821, 514, 10790, 267, 22642, 523, 700, 305, 269, 476, 1001, 277, 269, 32760, 3644, 543, 4332, 12889, 21623, 532, 519, 2963, 585, 1757, 1275, 269, 715, 1621, 331, 808, 2405, 267, 476, 4391, 275, 281, 476, 2735, 272, 268, 2735, 278, 563, 268, 1547, 1234, 13433, 5937, 601, 966, 4150, 808, 267, 932, 1511, 345, 4149, 16433, 553, 590, 267, 2405, 2088, 674, 267, 5548, 19664, 681, 300, 269, 476, 1220, 276, 269, 14333, 8710, 3940, 476, 3445, 543, 3002, 8710, 3940, 476, 3583, 616, 3334, 540, 28939, 3644, 13805, 1950, 538, 1480, 2281, 269, 808, 22870, 1503, 267, 476, 8064, 281, 476, 3393, 276, 278, 268, 27174, 278, 563, 268, 1547, 17664, 793, 565, 11581, 267, 22642, 918, 301, 267, 1230, 24335 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 659, 272, 608, 274, 1477, 5814, 2979, 5897, 299, 5964, 284, 15615, 9272, 3890, 10142, 22704, 815, 476, 277, 16732, 299, 5964, 1262, 273, 2608, 2979, 28460, 263, 274, 4297, 1315, 476, 275, 1477, 8110, 22015, 549, 815, 476, 277, 2608, 700, 5964, 5897, 2745, 6600, 262, 299, 5964, 798, 15279, 6782, 334, 281, 2715, 299, 5964, 348, 1558, 4592, 10086, 3418, 2745, 6600, 262, 22704, 281, 2715, 22704, 348, 1558, 4592, 22712, 2784, 657, 10086, 3418, 2745, 6600, 262, 8110, 22015, 549, 281, 2715, 8110, 22015, 549, 348, 1558, 4592, 9538, 3418, 0, 325, 284, 15615, 9272, 3488, 21745, 924, 513, 2191, 520, 3120, 900, 18278, 281, 1412, 264, 10142, 322, 284, 276, 16732, 325, 268, 3953, 8358, 280, 5897, 2745, 6600, 262, 320, 2191, 520, 3120, 900, 17622, 20527, 281, 2715, 322, 348, 2485, 374, 290, 20298, 0, 333, 272, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 17903, 333, 273, 815, 703, 9272, 3488, 14707, 924, 522, 5302, 2863, 334, 562, 14243, 1067, 334, 281, 1412, 264, 10142, 4186, 815, 562, 272, 1477, 338, 5448, 815, 476, 271, 1477, 6112, 733, 2999, 562, 273, 6769, 825, 1474, 320, 815, 1474, 320, 1341, 733, 1477, 825, 733, 815, 733, 1341, 476, 272, 1477, 2745, 3488, 288, 1474, 320, 13121, 1130, 2803, 20527, 281, 22207, 338, 5448, 3418, 0, 258, 10507, 920, 9366, 19804, 1982, 320, 900, 5124, 274, 6446, 2256, 9346, 844, 520, 549, 562, 14243, 1067, 657, 556, 9820, 630, 320, 267, 536, 267, 524, 267, 546, 264, 552, 10063, 5633, 607, 5302, 340, 842, 525, 2769, 383, 369, 525, 3473, 2946, 321, 878, 553, 281, 5897, 5814, 2979, 5897, 320, 815, 10581, 9272, 3890, 3418, 321, 815, 10581, 9272, 3890, 3418, 322, 815, 10581, 9272, 3890, 3418, 323, 815, 10581, 9272, 3890, 3418, 5897, 328, 815, 5180, 9230, 263, 320, 1262, 273, 1341, 476, 274, 265, 321, 8358, 322, 1341, 546, 1070, 275, 3418, 2745, 3488, 328, 264, 3299, 328, 10142, 4512, 815, 5180, 9230, 4118, 28802, 1015, 5416, 264, 1341, 2979, 4318, 1262, 8987, 321, 11305, 9984, 263, 323, 1262, 273, 270, 4118, 32564, 24270, 275, 3418, 2745, 3488, 4512, 264, 3299, 4512, 10142, 13839, 815, 5180, 9230, 9230, 263, 320, 1262, 263, 273, 270, 274, 4297, 16732, 321, 1262, 263, 272, 270, 274, 4297, 11924, 263, 322, 265, 323, 4297, 14370, 320, 17070, 25239, 266, 323, 24270, 275, 3418, 2745, 3488, 13839, 264, 3299, 13839, 10142, 643, 815, 5180, 9230, 9230, 320, 17070, 31618, 322, 266, 323, 4297, 14370, 320, 265, 321, 265, 322, 265, 323, 24270, 275, 3418, 2745, 3488, 643, 264, 3299, 643, 10142, 341, 815, 5180, 9230, 9230, 320, 1262, 273, 17070, 1262, 273, 19422, 322, 265, 323, 4297, 268, 9230, 322, 1262, 273, 266, 323, 1262, 273, 19422, 320, 265, 321, 4297, 1070, 275, 3418, 2745, 3488, 341, 264, 3299, 341, 10142, 12858, 815, 5180, 9230, 263, 320, 17070, 25239, 266, 323, 264, 1262, 273, 1070, 275, 3418, 2745, 3488, 12858, 264, 3299, 12858, 10142, 341, 4512, 815, 5180, 9230, 320, 1262, 273, 17070, 1262, 273, 25239, 1262, 273, 266, 323, 1262, 273, 1070, 275, 3418, 2745, 3488, 341, 4512, 264, 3299, 341, 4512, 10142, 341, 13839, 815, 5180, 9230, 263, 320, 265, 321, 265, 322, 265, 323, 264, 1262, 263, 272, 270, 274, 24270, 275, 3418, 2745, 3488, 341, 13839, 264, 3299, 341, 13839, 3418, 0, 335, 272, 815, 10581, 9272, 3890, 3418, 335, 273, 815, 10581, 9272, 3890, 3418, 335, 274, 815, 10581, 9272, 3890, 3418, 325, 815, 10581, 9272, 3890, 10142, 332, 4215, 815, 5180, 9230, 273, 265, 335, 272, 266, 273, 265, 335, 273, 266, 274, 265, 335, 274, 8358, 278, 267, 272, 3418, 325, 516, 336, 815, 535, 265, 1911, 5897, 2745, 6600, 262, 293, 7528, 16780, 807, 281, 2715, 325, 516, 336, 15545, 271, 325, 348, 260, 20298, 2745, 6600, 262, 300, 4215, 281, 2715, 332, 4215, 348, 262, 10142, 604, 1954, 336, 2999, 476, 4037, 6769, 825, 1820, 3488, 2704, 684, 334, 1065, 22201, 5964, 11188, 535, 5306, 553, 256, 20298, 19197, 2923, 3436, 476, 280, 6769, 825, 1820, 3488, 2704, 684, 334, 513, 25075, 5964, 635, 21514, 341, 528, 256, 20298, 19197, 2923, 13843, 476, 277, 6769, 825, 1820, 3488, 2704, 684, 334, 513, 25075, 5964, 256, 20298, 19197, 2923, 13843, 476, 275, 6769, 825, 1820, 3488, 2704, 684, 334, 632, 973, 10967, 320, 23843, 256, 20298, 12828, 6769, 825, 1820, 3488, 2704, 684, 334, 1065, 22201, 5964, 256, 20298, 0, 5035, 19715, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 2232, 2187, 1038, 1582, 14491, 816, 815, 2232, 454, 1038, 1948, 9218, 1239, 2497, 1031, 1317, 519, 454, 1038, 1948, 3845, 1239, 568, 6740, 607, 1883, 17032, 8424, 563, 1038, 1948, 634, 1883, 568, 519, 2232, 543, 519, 1871, 568, 519, 454, 1038, 1948, 3845, 547, 602, 2232, 269, 901, 2306, 585, 606, 454, 1038, 1948, 3608, 1413, 909, 540, 3845, 1344, 563, 1038, 1582, 6155, 2700, 5091, 545, 815, 2715, 10926, 7531, 0, 258, 8206, 270, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 2278, 281, 674, 836, 344, 836, 476, 942, 281, 1001, 278, 270, 1556, 270, 866, 692, 258, 21928, 19764, 478, 9463, 495, 28793, 418, 481, 367, 17958, 2745, 27447, 24731, 13601, 11590, 505, 420, 485, 359, 27936, 18263, 487, 7511, 19540, 483, 14395, 373, 8147, 16533, 365, 28884, 17958, 1029, 1598, 1029, 25913, 25622, 8147, 417, 379, 483, 421, 350, 375, 9463, 491, 18713, 508, 22047, 21211, 31033, 4970, 366, 692, 5035, 9697, 1384, 825, 1219, 6449, 8181, 9191, 1345, 267, 928, 1233, 877, 17107, 1038, 1582, 20508, 815, 1007, 4067, 692, 1038, 1820, 9497, 260, 338, 17276, 507, 354, 29072, 257, 4939, 1582, 20508, 2020, 825, 1219, 6449, 23437, 9191, 1345, 17107, 1038, 1820, 2891, 260, 338, 476, 16043, 495, 31308, 375, 29072, 257, 4939, 1582, 20508, 2020, 825, 1219, 6449, 1598, 9191, 1345, 17107, 1038, 1948, 417, 379, 483, 421, 350, 375, 13213, 498, 18713, 508, 22047, 21211, 31033, 4970, 366, 454, 1038, 2132, 834, 16043, 495, 15159, 16533, 493, 419, 490, 360, 7987, 494, 260, 338, 7987, 495, 257, 260, 1345, 20508, 692, 258, 9723, 15159, 22047, 10429, 357, 31271, 478, 9463, 502, 19404, 493, 454, 339, 558, 815, 9697, 2891, 25402, 5602, 2745, 6025, 558, 264, 0, 258, 8206, 270, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 2278, 281, 674, 836, 344, 836, 476, 942, 281, 1001, 278, 270, 1321, 270, 2764, 7531, 5035, 14559, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 14857, 332, 2292, 815, 476, 271, 692, 825, 1219, 1205, 300, 2292, 4311, 2187, 1038, 2132, 1582, 14857, 332, 2292, 692, 825, 1219, 1305, 300, 2292, 4311, 267, 1871, 2187, 1038, 952, 568, 27349, 263, 7407, 267, 842, 2187, 2018, 1582, 14857, 332, 2292, 815, 1871, 454, 1038, 3116, 912, 2018, 1820, 3488, 19587, 281, 21251, 15159, 10533, 368, 417, 508, 489, 12255, 21211, 17210, 825, 2724, 815, 3959, 263, 1326, 300, 2292, 267, 1305, 300, 2292, 264, 1948, 17276, 367, 357, 418, 482, 493, 30244, 19404, 490, 21251, 28884, 19540, 503, 10797, 339, 815, 14559, 4590, 339, 6230, 2292, 815, 476, 1220, 476, 1948, 22614, 505, 372, 25051, 497, 30678, 420, 364, 481, 17958, 29072, 512, 15630, 300, 2292, 263, 1220, 994, 2745, 6025, 6230, 2292, 264, 1948, 22614, 505, 372, 25051, 497, 30678, 420, 364, 481, 17958, 29072, 512, 10947, 300, 2292, 10797, 258, 3959, 22614, 505, 372, 25051, 497, 30678, 17958, 13127, 365, 508, 26233, 356, 7511, 25913, 19764, 493, 17276, 492, 358, 25203, 500, 29635, 364, 481, 17958, 16583, 30936, 476, 30244, 26175, 491, 14035, 491, 23521, 480, 7511, 420, 364, 481, 17958, 25913, 19764, 493, 692, 0, 258, 8206, 270, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 2278, 281, 674, 836, 344, 836, 476, 942, 281, 1001, 278, 270, 1015, 270, 1839, 692, 31435, 23919, 815, 1412, 31435, 1158, 28847, 258, 476, 272, 269, 476, 10254, 353, 13161, 511, 15159, 12571, 355, 23284, 418, 490, 485, 27936, 21211, 31033, 4970, 366, 19764, 478, 417, 356, 489, 454, 2745, 32597, 23919, 269, 11034, 1873, 603, 2891, 3559, 15419, 258, 476, 273, 269, 476, 10254, 353, 13161, 511, 15159, 12571, 355, 23284, 418, 490, 485, 27936, 21211, 31033, 4970, 366, 14756, 497, 23521, 509, 454, 2745, 32597, 23919, 269, 1742, 5976, 2891, 671, 15419, 258, 476, 274, 269, 17276, 509, 354, 19867, 378, 418, 490, 485, 27936, 21211, 31033, 4970, 366, 267, 8161, 12571, 490, 21550, 371, 23746, 23284, 418, 509, 354, 19867, 378, 21211, 31033, 4970, 366, 18809, 7511, 27381, 351, 19764, 499, 454, 258, 4994, 13127, 28187, 31563, 418, 490, 485, 27936, 7511, 21211, 31033, 4970, 366, 21251, 11858, 502, 21928, 8147, 25263, 504, 418, 488, 354, 421, 498, 503, 454, 258, 1265, 13127, 28187, 31563, 418, 490, 485, 27936, 7511, 21211, 31033, 4970, 366, 21251, 11858, 502, 21928, 8147, 25263, 504, 13213, 498, 18713, 508, 268, 272, 454, 2745, 32597, 23919, 26098, 2891, 14561, 5602, 2745, 32597, 23919, 26098, 3488, 5417, 17210, 258, 476, 275, 269, 17276, 505, 379, 29004, 351, 21211, 31033, 4970, 366, 454, 2745, 32597, 23919, 18622, 2897, 3488, 331, 12887, 22721, 5073, 2745, 32597, 23919, 0, 258, 8206, 270, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 2278, 281, 674, 836, 344, 836, 476, 942, 281, 1001, 279, 270, 272, 270, 276, 19638, 258, 476, 10254, 353, 13161, 511, 15159, 12571, 355, 15159, 476, 23746, 13213, 511, 28786, 7511, 454, 5228, 10070, 1104, 594, 614, 762, 454, 320, 815, 568, 27349, 8443, 3910, 594, 614, 762, 994, 2745, 5416, 2020, 258, 476, 13213, 511, 28786, 417, 503, 357, 281, 476, 23746, 23284, 17958, 1985, 3890, 476, 7511, 421, 25693, 9463, 360, 13213, 511, 28786, 417, 503, 357, 267, 19867, 478, 23284, 13200, 509, 29873, 417, 503, 357, 421, 25693, 15159, 13213, 511, 28786, 417, 503, 357, 454, 258, 476, 10254, 353, 13161, 511, 15159, 12571, 355, 15159, 476, 13213, 511, 28786, 417, 503, 357, 454, 5228, 10070, 1104, 594, 614, 1807, 454, 529, 27349, 9230, 343, 585, 1535, 538, 2039, 263, 1015, 24270, 594, 614, 1807, 994, 258, 476, 31968, 30837, 351, 13213, 498, 18713, 508, 6936, 454, 529, 27349, 8443, 3910, 594, 614, 1807, 994, 258, 476, 31968, 30837, 351, 13213, 498, 18713, 508, 8771, 692, 258, 476, 13200, 509, 29873, 417, 503, 357, 13601, 27936, 15159, 13213, 511, 28786, 417, 503, 357, 267, 476, 12916, 484, 15159, 13213, 511, 28786, 417, 503, 357, 21251, 13601, 27936, 421, 25693, 15159, 13200, 509, 29873, 417, 503, 357, 454, 258, 12055, 3890, 16583, 30936, 267, 476, 23746, 23284, 418, 488, 488, 4289, 267, 24042, 267, 1193, 419, 511, 487, 594, 614, 762, 29635, 377, 361, 9463, 502, 29873, 594, 614, 1807, 454, 320, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 321, 815, 12055, 5416, 994, 10113, 6357, 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 ]
[ 0, 3528, 7446, 1434, 3584, 585, 606, 12819, 1557, 267, 693, 1101, 596, 1058, 1265, 856, 1018, 606, 12819, 1557, 568, 543, 1018, 1603, 4388, 616, 2556, 547, 1246, 267, 610, 4444, 606, 1557, 693, 1279, 2063, 713, 1557, 6799, 519, 7440, 609, 741, 5885, 543, 15852, 2093, 519, 5856, 1058, 22321, 519, 5467, 547, 9772, 1010, 610, 1200, 1448, 540, 2070, 543, 2623, 3652, 269, 5851, 9732, 5816, 9732, 4081, 1603, 9732, 16168, 3584, 12819, 1557, 3102, 1888, 1592, 1896, 1919, 602, 616, 1434, 827, 11475, 875, 547, 2328, 606, 12819, 1557, 281, 4808, 593, 3811, 1603, 875, 547, 2626, 2110, 2626, 2055, 269, 21261, 894, 1557, 3584, 689, 2319, 693, 1557, 9238, 4945, 547, 1294, 1806, 540, 12819, 1603, 950, 621, 2501, 547, 1557, 1603, 20485, 2356, 3761, 1053, 609, 3584, 547, 2328, 705, 1926, 578, 1197, 267, 972, 616, 2665, 950, 513, 2875, 568, 1863, 547, 2328, 593, 1022, 1888, 646, 16858, 563, 763, 1184, 540, 1603, 606, 12819, 1557, 666, 581, 1360, 2241, 950, 596, 1246, 513, 1134, 3613, 19099, 7291, 2630, 267, 596, 666, 1294, 875, 707, 1957, 1058, 1413, 899, 281, 4367, 1107, 1101, 3346, 1063, 513, 5467, 543, 707, 1557, 269, 1323, 12819, 1557, 1522, 3100, 1360, 2653, 547, 2328, 693, 1101, 596, 723, 513, 1448, 543, 513, 4831, 4812, 1287, 596, 8044, 707, 2990, 2705, 267, 596, 723, 547, 1683, 4396, 5013, 543, 2963, 585, 1312, 2798, 543, 1287, 2097, 547, 707, 1378, 8753, 538, 519, 12819, 1557, 269, 7994, 689, 476, 1911, 1034, 2500, 3181, 23534, 12819, 1557, 3584, 547, 2328, 827, 476, 1911, 1390, 12819, 1557, 3584, 952, 596, 2811, 513, 2875, 540, 519, 7005, 476, 6200, 1362, 610, 1022, 2147, 1576, 267, 596, 723, 1034, 4440, 5185, 9748, 540, 1603, 10467, 563, 14187, 12819, 1557, 3584, 1299, 2093, 723, 513, 1413, 693, 875, 547, 2097, 909, 609, 606, 1557, 1888, 621, 568, 1271, 547, 1445, 1152, 593, 835, 1641, 3079, 540, 5473, 1896, 2093, 543, 1118, 3988, 11821, 269, 1215, 547, 2328, 606, 6268, 1557, 281, 3478, 31235, 609, 1007, 1826, 540, 7084, 950, 1053, 1101, 3068, 519, 2165, 2048, 24834, 6672, 1557, 685, 538, 741, 6780, 7084, 5401, 267, 789, 1205, 2864, 11821, 607, 711, 1082, 540, 873, 8275, 519, 2495, 543, 3853, 540, 971, 4305, 269, 5675, 31047, 547, 12819, 3594, 596, 1631, 917, 875, 547, 2328, 519, 1560, 540, 606, 12819, 1557, 538, 519, 1985, 1079, 6810, 540, 713, 1770, 596, 786, 1451, 875, 547, 2328, 606, 4367, 543, 513, 3932, 31047, 616, 1360, 1271, 519, 4367, 3947, 519, 5467, 1010, 17017, 1101, 12705, 540, 519, 1257, 563, 293, 22324, 12819, 1557, 3584, 547, 24996, 909, 707, 1272, 938, 2729, 616, 2760, 5150, 607, 649, 2097, 2066, 1585, 2591, 1247, 3395, 909, 2705, 267, 607, 513, 1434, 2875, 267, 596, 1058, 917, 875, 547, 10161, 707, 5304, 609, 16168, 12819, 1557, 3584, 269, 1215, 547, 2328, 606, 4661, 1557, 1900, 676, 1900, 8242, 593, 5104, 569, 476, 274, 267, 476, 1001, 279, 20424, 807, 1183, 541, 2284, 585, 5528, 543, 1806, 593, 2653, 2081, 547, 2328, 513, 1434, 5098, 3948, 585, 606, 4661, 1557, 1294, 281, 7005, 568, 1250, 2034, 1893, 543, 10010, 609, 1557, 1603, 543, 606, 4661, 1557, 267, 1775, 1265, 707, 18973, 855, 942, 568, 1360, 2110, 585, 1250, 4879, 269, 634, 8766, 2947, 12268, 2497, 540, 513, 1434, 12819, 1557, 1603, 519, 4367, 1603, 519, 3932, 519, 1557, 281, 968, 29019, 3610, 581, 4847, 547, 7333, 24195, 538, 13460, 269, 5213, 1406, 5855, 267, 519, 1625, 16746, 2228, 1603, 2978, 630, 25717, 264, 666, 2995, 596, 3388, 596, 991, 547, 917, 827, 1603, 12819, 3594, 267, 543, 789, 1256, 1683, 513, 2407, 12819, 1557, 7291, 585, 596, 543, 585, 519, 10700, 2707, 540, 948, 267, 2638, 856, 930, 10388, 1557, 1806, 689, 530, 23943, 563, 4692, 12819, 1557, 5751, 538, 1153, 3565, 547, 1603, 1983, 7152, 538, 2852, 543, 6280, 621, 568, 1419, 519, 2013, 950, 1053, 723, 547, 556, 268, 14445, 622, 2094, 741, 1983, 616, 24631, 666, 1557, 5396, 581, 1932, 8723, 547, 1020, 1434, 4661, 566, 610, 1281, 621, 4096, 593, 519, 2702, 540, 519, 5856, 269, 21261, 1557, 1948, 275, 4945, 1934, 547, 2070, 1557, 513, 14686, 2245, 630, 23486, 3561, 264, 3732, 4661, 1557, 1948, 276, 4945, 1934, 547, 2070, 1557, 2486, 5956, 693, 1753, 630, 23486, 3561, 264, 3732, 4661, 1557, 1948, 277, 269, 1452, 1806, 540, 12819, 3594, 616, 547, 948, 596, 1620, 875, 547, 2328, 713, 1826, 540, 3594, 519, 3056, 3159, 538, 606, 12819, 1557, 568, 519, 2990, 540, 18445, 602, 519, 4843, 1448, 540, 2070, 568, 519, 2953, 835, 543, 19299, 811, 5168, 995, 7440, 982, 1022, 824, 8369, 269, 1677, 2328, 513, 2178, 12819, 1557, 267, 1053, 1058, 2253, 676, 5432, 1944, 2933, 609, 930, 540, 519, 1455, 267, 543, 1419, 20849, 267, 7158, 593, 519, 1382, 1888, 865, 602, 789, 666, 2328, 606, 5483, 1957, 269, 589, 1434, 4367, 538, 606, 12819, 1557, 6411, 899, 513, 1434, 6679, 3948, 538, 513, 4693, 1175, 899, 513, 15818, 267, 513, 5856, 1590, 1459, 519, 3390, 693, 1688, 267, 2285, 4282, 267, 543, 2322, 8521, 519, 1292, 4661, 4534, 782, 538, 513, 9266, 267, 7214, 543, 10388, 1259, 563, 1103, 1603, 17720, 2079, 3594, 267, 7446, 519, 1318, 1603, 2511, 543, 5912, 1913, 568, 1271, 621, 568, 2565, 547, 1174, 602, 519, 23704, 519, 1543, 5526, 950, 621, 568, 1224, 267, 519, 20501, 519, 6898, 543, 519, 1257, 786, 581, 269, 4828, 1250, 20440, 7344, 11653, 25411, 541, 7005, 476, 273, 3594, 593, 1967, 6343, 568, 513, 11239, 950, 1603, 606, 1557, 10855, 1557, 827, 513, 11176, 30806, 20735, 4334, 1557, 4081, 1557, 5667, 11548, 1441, 26725, 12773, 1557, 12031, 7194, 948, 20410, 561, 335, 269, 21261, 894, 1557, 3584, 1175, 899, 609, 782, 824, 1557, 2010, 267, 972, 616, 9748, 540, 3584, 547, 3442, 689, 950, 1603, 606, 12819, 1557, 6011, 1197, 267, 621, 568, 1271, 547, 3314, 602, 789, 1590, 581, 538, 513, 7521, 3898, 538, 824, 1913, 267, 2491, 1946, 4781, 513, 568, 1732, 982, 4781, 536, 267, 610, 13030, 17930, 563, 12749, 12819, 3584, 1592, 476, 1001, 278, 609, 930, 3730, 4388, 593, 1603, 513, 16950, 1652, 12819, 1557, 3622, 267, 519, 3119, 6662, 540, 1603, 606, 12819, 1557, 568, 547, 1451, 875, 547, 18609, 1004, 547, 1689, 741, 2247, 827, 1919, 799, 1082, 540, 873, 616, 7168, 6109, 827, 950, 596, 616, 4280, 547, 269, 5675, 513, 10388, 1557, 568, 899, 1373, 513, 15818, 19163, 513, 2013, 1354, 513, 21139, 519, 5856, 3217, 513, 1796, 593, 606, 3390, 1765, 32355, 968, 1721, 892, 610, 968, 28785, 560, 892, 1765, 663, 13976, 519, 16999, 2009, 4661, 547, 3094, 936, 519, 5467, 269, 476, 6200, 10388, 1557, 3584, 676, 281, 32275, 6180, 517, 2436, 596, 616, 513, 2875, 538, 991, 540, 513, 10388, 1557, 1888, 267, 610, 513, 4116, 3168, 547, 3651, 513, 10388, 1557, 267, 713, 1592, 540, 476, 6200, 10388, 1557, 3584, 568, 513, 1390, 4199, 328, 3454, 539, 1250, 2634, 547, 1711, 713, 5458, 1592, 540, 10388, 1557, 3584, 4143, 547, 2221, 779, 2486, 267, 855, 1775, 3494, 621, 729, 4502, 519, 4674, 269, 0, 3849, 22894, 2203, 610, 3069, 540, 1689, 568, 513, 3804, 15129, 1907, 610, 2203, 799, 2306, 621, 2009, 585, 519, 1585, 1689, 2359, 6887, 547, 1445, 593, 1346, 3268, 610, 2238, 602, 616, 2047, 1644, 547, 519, 3853, 621, 6499, 547, 3914, 547, 269, 14424, 543, 4334, 2185, 2101, 3604, 1851, 519, 2185, 20314, 1890, 5718, 3631, 1592, 799, 5718, 3631, 616, 1095, 20696, 543, 10855, 267, 543, 2491, 1946, 789, 616, 9286, 607, 971, 2491, 31431, 543, 9243, 9088, 540, 5718, 269, 6258, 827, 2185, 4295, 5718, 6436, 602, 666, 948, 596, 1831, 513, 811, 2500, 6205, 3631, 1331, 2777, 781, 2619, 30559, 531, 3069, 543, 540, 5718, 1491, 606, 4586, 22117, 11429, 5718, 6436, 543, 3631, 1063, 11792, 869, 779, 543, 1200, 345, 6199, 779, 3631, 540, 8404, 11792, 869, 543, 1200, 345, 6199, 3069, 540, 8404, 1114, 3390, 15545, 25043, 540, 5718, 1107, 5758, 5750, 540, 5718, 5380, 270, 1492, 1559, 270, 7116, 1564, 1107, 642, 3771, 6229, 2985, 476, 273, 16023, 3069, 1018, 519, 6205, 568, 269, 634, 10486, 543, 3604, 1063, 2185, 5718, 3631, 6436, 267, 543, 3631, 540, 5718, 666, 581, 13736, 538, 32638, 5718, 585, 607, 1279, 607, 621, 13352, 538, 519, 3510, 543, 1547, 1280, 5756, 5718, 6436, 723, 1044, 519, 2707, 540, 3875, 2090, 538, 4641, 607, 1134, 607, 538, 2259, 267, 1082, 723, 6836, 547, 5581, 1018, 1033, 2851, 8076, 3401, 689, 519, 2527, 563, 22117, 11429, 6436, 2119, 547, 2203, 519, 2623, 540, 3401, 896, 1114, 6381, 2303, 2185, 5718, 6163, 4470, 593, 9441, 4162, 6163, 547, 4308, 609, 1114, 1547, 634, 1739, 1957, 14592, 519, 6476, 543, 4334, 540, 2185, 5718, 3631, 543, 6436, 519, 3483, 540, 713, 1957, 568, 547, 29872, 3988, 609, 519, 269, 24951, 543, 17804, 2185, 5718, 3631, 9236, 543, 17804, 2185, 5718, 3631, 12627, 795, 546, 32713, 6280, 540, 943, 14535, 1460, 9236, 543, 17804, 2185, 5718, 3631, 476, 273, 812, 267, 899, 782, 824, 28516, 267, 7960, 607, 513, 1514, 13442, 585, 7247, 18497, 2713, 543, 9316, 1369, 519, 1547, 634, 1739, 1957, 14592, 519, 6476, 543, 4334, 540, 2185, 5718, 3631, 543, 6436, 519, 3483, 540, 713, 1957, 568, 547, 29872, 3988, 609, 519, 2596, 2035, 5817, 1142, 2203, 543, 3069, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 9236, 543, 17804, 2185, 5718, 3631, 610, 6436, 547, 948, 596, 2328, 707, 1378, 1557, 563, 17843, 3631, 540, 5718, 6436, 543, 2010, 540, 5718, 568, 827, 519, 1114, 5718, 2010, 602, 723, 1044, 4857, 676, 19174, 543, 1870, 3401, 1451, 827, 519, 1114, 3506, 540, 4555, 593, 5718, 543, 849, 519, 1826, 540, 6205, 596, 616, 269, 13565, 3594, 281, 5718, 3631, 519, 6662, 540, 713, 960, 2070, 1957, 5718, 3631, 519, 6662, 540, 713, 960, 568, 547, 5635, 543, 4334, 2185, 5718, 3631, 543, 547, 3313, 519, 10486, 543, 3017, 1063, 891, 3631, 543, 875, 1142, 2203, 1522, 269, 14424, 543, 4334, 22700, 5718, 609, 693, 22700, 5718, 5288, 824, 3631, 540, 5718, 519, 3069, 540, 5718, 814, 1082, 1114, 10096, 543, 4586, 4407, 519, 1079, 5094, 2090, 1031, 1114, 519, 2165, 32638, 5718, 3069, 547, 3274, 5718, 568, 10416, 568, 513, 2185, 9912, 2203, 267, 2705, 1547, 14424, 1299, 4334, 5718, 3631, 281, 32638, 5718, 519, 32638, 5718, 3069, 689, 737, 3317, 996, 1025, 21123, 731, 543, 533, 4954, 1200, 8124, 13187, 602, 3401, 1058, 1547, 15557, 3631, 1299, 6436, 972, 723, 12777, 5215, 540, 2835, 2854, 593, 713, 1641, 267, 543, 15029, 621, 568, 2141, 3730, 547, 1451, 689, 1866, 267, 5718, 568, 513, 3815, 540, 1454, 811, 982, 6436, 1142, 1268, 814, 547, 1265, 513, 1259, 540, 3056, 602, 568, 21412, 609, 945, 789, 616, 267, 865, 621, 2501, 936, 607, 8076, 269, 2201, 791, 6842, 539, 5718, 281, 513, 6476, 1063, 950, 17265, 5718, 1114, 6436, 2097, 883, 1404, 538, 519, 1646, 540, 513, 3102, 4605, 540, 4586, 21008, 2581, 540, 1689, 6436, 5933, 540, 741, 3069, 519, 1101, 2460, 540, 519, 2203, 2982, 519, 3350, 540, 18532, 972, 616, 2185, 3157, 602, 269, 25037, 543, 5635, 5718, 6163, 1039, 4894, 6780, 948, 689, 938, 2228, 21493, 910, 2634, 21346, 1260, 5635, 543, 4334, 2185, 5718, 3631, 610, 6436, 269, 15557, 6436, 7521, 936, 1018, 2306, 513, 1434, 6205, 936, 519, 1296, 267, 1082, 3506, 540, 2219, 723, 2919, 602, 2285, 1114, 3137, 827, 1141, 3401, 2097, 689, 267, 875, 789, 666, 581, 1547, 24951, 2185, 5718, 6436, 5635, 543, 4334, 519, 1898, 3334, 540, 2185, 5718, 6436, 543, 5659, 1142, 3069, 781, 2409, 540, 8757, 922, 3853, 1287, 267, 2824, 835, 7811, 2203, 543, 2491, 1946, 621, 1131, 581, 1655, 1031, 547, 2981, 707, 3919, 563, 24718, 543, 4334, 540, 2824, 5718, 3631, 5718, 2501, 538, 1114, 3029, 543, 538, 1114, 3344, 540, 1272, 689, 4357, 1870, 547, 2229, 9988, 630, 342, 1066, 267, 476, 1960, 276, 267, 533, 476, 276, 264, 519, 3631, 540, 5718, 1031, 616, 8200, 2390, 519, 1367, 10305, 540, 519, 3401, 267, 585, 1383, 7592, 267, 2418, 267, 1582, 268, 1211, 640, 267, 1983, 267, 543, 21941, 1547, 15557, 6436, 6476, 910, 476, 278, 5718, 6436, 6476, 521, 996, 562, 747, 565, 5459, 29827, 331, 327, 32231, 6280, 2203, 2596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13250, 269, 1306, 1279, 607, 713, 568, 875, 1082, 1004, 1265, 2495, 543, 3483, 538, 741, 1272, 267, 972, 568, 1100, 4126, 585, 10343, 540, 513, 2203, 585, 513, 4264, 4346, 543, 2635, 1604, 602, 6038, 5673, 811, 593, 9316, 2864, 982, 593, 6735, 563, 2252, 513, 4264, 2203, 3884, 1406, 11884, 17947, 267, 799, 3085, 1406, 3100, 21483, 267, 1287, 950, 6381, 3914, 513, 6433, 1377, 6190, 547, 1118, 621, 2312, 547, 1034, 1004, 602, 972, 568, 1100, 4244, 267, 4849, 519, 12900, 540, 10340, 543, 5310, 14486, 267, 1287, 606, 4244, 2203, 1522, 581, 17947, 269, 6270, 513, 6433, 1522, 581, 6190, 8404, 267, 855, 2249, 25252, 8336, 568, 711, 1055, 519, 3349, 269, 2274, 3058, 11735, 968, 322, 5142, 529, 8404, 892, 607, 519, 3070, 267, 1018, 616, 519, 824, 3681, 286, 594, 786, 2626, 713, 538, 2474, 540, 1250, 1378, 1871, 1062, 267, 799, 4025, 513, 1164, 1871, 593, 1367, 16285, 269, 2290, 666, 946, 3196, 267, 3463, 610, 12932, 9179, 267, 733, 337, 1882, 15314, 610, 30373, 547, 3310, 1004, 779, 2623, 269, 22682, 267, 519, 1101, 1079, 3681, 616, 28170, 633, 543, 22522, 609, 519, 6240, 540, 1367, 16285, 269, 1325, 18464, 811, 11029, 267, 519, 3791, 1505, 568, 849, 28170, 633, 269, 634, 946, 540, 733, 337, 1882, 15314, 547, 3310, 513, 1268, 779, 5079, 568, 606, 4674, 547, 13861, 519, 1268, 543, 4061, 4564, 513, 2571, 1106, 540, 28170, 542, 269, 634, 3803, 1505, 267, 30373, 267, 949, 581, 519, 1152, 1505, 602, 568, 5812, 609, 1367, 16285, 543, 568, 4628, 11807, 547, 803, 269, 1717, 267, 713, 568, 606, 1935, 602, 3217, 1279, 3856, 3206, 543, 4058, 543, 3112, 581, 8045, 3533, 563, 763, 6140, 2693, 1935, 602, 594, 1589, 6608, 786, 1491, 267, 952, 789, 957, 693, 782, 267, 786, 581, 28170, 542, 676, 968, 31673, 823, 892, 2962, 17618, 4294, 543, 7654, 3056, 547, 1018, 1522, 1831, 513, 4108, 28983, 1222, 269, 6270, 606, 1935, 267, 594, 1589, 267, 1131, 2154, 20291, 2962, 676, 1034, 540, 519, 1158, 779, 6608, 269, 898, 4667, 547, 803, 713, 1131, 581, 1360, 2352, 547, 3142, 547, 2927, 819, 269, 1703, 1131, 4440, 849, 581, 7372, 4187, 267, 16765, 543, 1071, 3200, 267, 547, 513, 17618, 28170, 633, 1935, 269, 21894, 707, 2990, 568, 593, 968, 30873, 1689, 2223, 621, 5713, 607, 606, 14745, 540, 875, 606, 2534, 8506, 27047, 842, 602, 814, 547, 581, 8045, 5001, 666, 5352, 4187, 593, 1082, 18651, 1206, 269, 654, 7655, 4187, 1131, 4440, 24183, 519, 791, 3789, 540, 513, 4264, 2203, 269, 4329, 267, 519, 6793, 602, 6608, 1831, 267, 519, 811, 11630, 789, 616, 547, 7214, 267, 2804, 543, 2797, 13313, 269, 4634, 952, 513, 2178, 6186, 1935, 1058, 581, 7620, 3811, 267, 594, 1589, 621, 1131, 581, 5555, 798, 15701, 547, 5821, 563, 292, 1595, 626, 19378, 3223, 523, 568, 23904, 827, 519, 3803, 6364, 267, 609, 513, 13946, 520, 267, 968, 27407, 594, 3494, 649, 3580, 960, 856, 513, 1797, 547, 2661, 6940, 593, 713, 4541, 543, 267, 538, 519, 1360, 11397, 2104, 267, 547, 2661, 3564, 621, 607, 1134, 269, 1809, 547, 798, 865, 267, 649, 723, 547, 1174, 938, 1699, 3510, 5265, 269, 1703, 568, 1100, 4960, 547, 1847, 2509, 513, 1732, 2104, 952, 649, 19955, 519, 3510, 649, 616, 4867, 538, 1848, 6423, 519, 5410, 754, 636, 693, 519, 1439, 540, 519, 1557, 585, 513, 5133, 593, 519, 1699, 3510, 563, 296, 993, 711, 693, 782, 23904, 602, 513, 960, 762, 3070, 666, 581, 1336, 543, 8045, 538, 513, 3811, 6073, 3533, 2614, 547, 4688, 519, 4541, 543, 4688, 5375, 16654, 10340, 269, 594, 993, 18056, 540, 513, 6085, 676, 6833, 8896, 21025, 28225, 267, 513, 6085, 1807, 593, 2528, 267, 945, 4330, 6639, 10340, 607, 513, 2686, 2191, 21915, 5300, 269, 901, 6770, 721, 547, 519, 1034, 2596, 2243, 540, 782, 543, 835, 602, 1082, 1522, 2057, 2443, 1281, 621, 2731, 2339, 2436, 649, 4688, 519, 4541, 543, 6000, 610, 711, 286, 634, 2656, 543, 2219, 1652, 4267, 568, 9811, 269, 1717, 267, 2015, 1079, 5603, 564, 29182, 10353, 23835, 3098, 269, 2290, 814, 2907, 1044, 782, 24231, 547, 1657, 2443, 3621, 1570, 1143, 267, 799, 12034, 4641, 607, 2348, 606, 4830, 6228, 267, 5007, 547, 6000, 269, 634, 12081, 532, 17565, 29102, 602, 519, 1570, 7122, 3357, 883, 6228, 607, 513, 4351, 2680, 269, 1306, 9939, 1131, 723, 621, 267, 621, 1175, 5949, 7357, 676, 4960, 267, 547, 581, 6896, 538, 971, 513, 1259, 602, 621, 1131, 11200, 609, 519, 2556, 2175, 1459, 585, 1272, 547, 11457, 269, 7053, 267, 1586, 676, 4960, 267, 519, 4351, 5872, 540, 2609, 538, 519, 7122, 5916, 538, 971, 513, 1259, 607, 547, 6556, 2713, 2281, 269, 1452, 2713, 2281, 7960, 998, 15817, 267, 9542, 543, 10285, 8516, 883, 2479, 811, 1950, 6211, 3889, 2394, 1582, 16477, 543, 10995, 1272, 21256, 543, 5555, 2968, 721, 269, 634, 7715, 940, 9740, 540, 4960, 563, 15152, 519, 1570, 626, 9183, 267, 594, 1589, 3425, 616, 513, 2249, 1510, 3483, 543, 4061, 1510, 2495, 3564, 519, 16650, 2495, 602, 1142, 540, 721, 666, 530, 2590, 585, 6000, 689, 938, 5618, 6228, 269, 1306, 2043, 543, 607, 2516, 267, 649, 15827, 2239, 2984, 602, 2285, 938, 2729, 2495, 855, 1152, 1369, 519, 2796, 540, 519, 2239, 269, 1452, 6386, 616, 267, 1310, 782, 568, 1767, 543, 2944, 267, 1175, 2984, 269, 1284, 616, 513, 2249, 538, 513, 7226, 1641, 547, 14486, 693, 1022, 942, 676, 513, 17184, 5066, 540, 519, 18062, 269, 9453, 1517, 629, 1681, 519, 1448, 267, 594, 2303, 602, 596, 2015, 2487, 1806, 540, 930, 2250, 2621, 602, 1510, 1454, 15155, 4771, 909, 1223, 267, 896, 2221, 779, 2175, 267, 723, 513, 10340, 268, 2056, 1764, 267, 952, 711, 24773, 880, 519, 1480, 2249, 269, 1306, 5266, 2487, 1806, 267, 2015, 2706, 15027, 30762, 971, 607, 918, 21531, 6737, 320, 538, 476, 6642, 274, 267, 1351, 4689, 6419, 30275, 687, 689, 519, 3141, 899, 519, 29336, 15838, 2680, 540, 476, 6977, 280, 610, 19670, 2230, 11935, 971, 607, 519, 570, 2426, 639, 6390, 16411, 540, 606, 20503, 936, 27584, 4997, 538, 476, 5002, 279, 269, 1403, 596, 2461, 14542, 609, 891, 267, 1413, 873, 909, 543, 1287, 2015, 741, 1761, 1764, 593, 2413, 6639, 2486, 269, 589, 21472, 1267, 1131, 581, 1256, 811, 2693, 1058, 519, 2680, 581, 1454, 3677, 899, 930, 602, 723, 7018, 20991, 1394, 538, 519, 2250, 269, 3973, 972, 568, 2141, 519, 7872, 602, 649, 3580, 1246, 835, 540, 938, 6386, 883, 513, 9420, 620, 2917, 543, 6861, 6000, 269, 1284, 723, 1082, 3681, 585, 1582, 1673, 652, 2315, 1851, 799, 649, 666, 849, 1293, 519, 2360, 540, 6046, 9604, 267, 14049, 1242, 7350, 543, 2825, 20358, 543, 12900, 269, 2986, 1576, 267, 1256, 1058, 649, 7639, 782, 20061, 540, 519, 18062, 543, 29047, 2623, 267, 2257, 25221, 602, 519, 7122, 786, 5555, 1439, 269, 634, 2470, 540, 922, 26694, 568, 711, 1978, 855, 621, 1223, 4228, 2394, 621, 9688, 338, 3294, 267, 9428, 4411, 543, 10523, 609, 513, 627, 574, 704, 267, 610, 621, 1522, 4579, 267, 5579, 1712, 543, 5884, 609, 513, 29907, 563, 763, 2034, 23835, 1108, 543, 4831, 4812, 547, 3621, 1570, 1143, 568, 1018, 594, 723, 2854, 827, 607, 3443, 550, 515, 1143, 543, 1866, 607, 1395, 2065, 4998, 1143, 269, 2290, 4207, 4412, 9426, 540, 713, 23381, 568, 12672, 16037, 918, 770, 14442, 267, 4171, 1896, 2835, 630, 600, 7571, 2593, 264, 543, 4574, 630, 659, 611, 8598, 12975, 264, 594, 4363, 547, 596, 269, 1261, 814, 513, 2110, 3381, 28388, 1395, 2065, 4998, 1143, 630, 5408, 6402, 2985, 1040, 1403, 835, 5654, 693, 519, 519, 1079, 23835, 3098, 607, 26829, 267, 789, 1413, 1360, 2147, 855, 3180, 32753, 1114, 6286, 269, 6969, 10503, 519, 26829, 267, 5431, 602, 782, 23835, 3098, 1118, 10054, 269, 1403, 972, 568, 1152, 835, 3490, 13429, 267, 621, 568, 17941, 606, 23835, 1670, 18642, 269, 6270, 513, 3490, 13429, 568, 2556, 1317, 596, 666, 1406, 979, 593, 22543, 17802, 7713, 835, 3364, 538, 2474, 540, 1776, 630, 324, 3052, 267, 1141, 1281, 2473, 2097, 689, 29845, 689, 2473, 272, 267, 1141, 1281, 2473, 272, 2097, 689, 29845, 689, 2473, 273, 267, 1141, 1281, 2473, 273, 2097, 689, 29845, 689, 2473, 274, 543, 865, 593, 740, 1102, 8181, 636, 1040, 634, 968, 321, 3089, 892, 814, 547, 3247, 12341, 543, 602, 568, 693, 519, 23835, 1670, 18642, 610, 3490, 13429, 269, 634, 1570, 626, 18158, 5956, 693, 519, 3490, 609, 519, 13429, 540, 2230, 270, 5503, 267, 799, 19595, 803, 540, 18160, 779, 6376, 267, 968, 11742, 543, 2230, 616, 12331, 676, 799, 649, 1589, 543, 711, 2175, 538, 799, 649, 2661, 1848, 25021, 909, 519, 18158, 4724, 519, 30085, 267, 649, 2097, 547, 1648, 1299, 2339, 267, 1287, 8444, 1299, 6675, 267, 1287, 7998, 267, 1287, 7350, 543, 6368, 2247, 269, 634, 18158, 585, 4998, 1143, 568, 3592, 9838, 4849, 602, 621, 5956, 693, 519, 3490, 609, 519, 13429, 540, 4656, 610, 9637, 543, 1287, 3001, 4724, 519, 30085, 2501, 2230, 270, 5503, 543, 865, 593, 269, 18421, 3001, 909, 519, 18158, 568, 12045, 540, 519, 3490, 13429, 562, 343, 2053, 6569, 563, 289, 4361, 569, 267, 519, 2462, 6521, 609, 713, 1689, 538, 3490, 10054, 568, 602, 1631, 3079, 540, 3206, 540, 4641, 607, 1945, 968, 719, 972, 892, 621, 568, 1945, 968, 514, 1934, 1848, 2334, 568, 267, 1018, 596, 1491, 547, 581, 606, 5007, 4641, 2965, 568, 513, 23314, 538, 9637, 267, 543, 596, 11338, 616, 513, 23314, 538, 9637, 269, 1635, 1259, 540, 21658, 267, 1589, 540, 4641, 896, 4998, 1143, 899, 513, 5691, 4641, 267, 2780, 3014, 269, 1403, 596, 1810, 1406, 723, 1022, 1995, 609, 891, 3756, 267, 621, 949, 711, 581, 513, 1434, 21658, 585, 596, 269, 1403, 596, 1616, 547, 2263, 713, 21658, 2417, 267, 835, 2707, 596, 1522, 1413, 883, 568, 519, 1433, 3733, 8262, 570, 20166, 9950, 269, 630, 1492, 800, 540, 3388, 264, 676, 8751, 23720, 269, 1323, 21658, 602, 814, 1044, 1031, 585, 27453, 568, 602, 540, 513, 5326, 609, 799, 596, 4440, 798, 723, 930, 1995, 269, 1717, 267, 2436, 596, 616, 538, 513, 5326, 610, 513, 5691, 4641, 3014, 267, 3388, 1131, 3100, 1483, 547, 596, 269, 634, 3014, 8255, 896, 513, 1305, 540, 3652, 543, 952, 519, 3652, 4465, 1406, 1450, 596, 547, 3802, 998, 6821, 267, 596, 786, 581, 1219, 21124, 676, 513, 3774, 1058, 596, 3802, 883, 835, 269, 898, 1131, 3100, 899, 513, 968, 9418, 892, 3774, 855, 621, 568, 2965, 1175, 606, 21903, 2813, 538, 513, 968, 28669, 532, 892, 2230, 676, 513, 2780, 269, 26243, 267, 519, 1482, 10039, 547, 513, 5326, 267, 4849, 621, 568, 1373, 2813, 538, 707, 9637, 676, 2247, 269, 769, 1249, 267, 930, 723, 6700, 602, 835, 1599, 540, 29681, 568, 547, 7618, 721, 602, 9637, 666, 5352, 968, 516, 8017, 892, 543, 7551, 5713, 607, 513, 20726, 585, 6284, 540, 519, 4890, 2470, 540, 938, 9228, 4641, 563, 15152, 519, 4998, 1143, 9183, 267, 972, 568, 2495, 543, 3483, 267, 799, 585, 1786, 6143, 779, 19160, 594, 3580, 1175, 2161, 568, 17607, 685, 1259, 540, 10451, 1995, 585, 3294, 543, 519, 4316, 547, 11457, 269, 10925, 1776, 1259, 267, 649, 543, 938, 1158, 616, 2192, 16272, 1369, 606, 12808, 267, 18163, 267, 10995, 543, 3860, 17607, 610, 3117, 4109, 1145, 3695, 3294, 269, 4935, 267, 519, 21903, 267, 899, 513, 5691, 4641, 3014, 267, 2899, 1305, 538, 5163, 4249, 3294, 856, 2687, 547, 519, 10747, 3652, 564, 12044, 621, 269, 9701, 267, 585, 1383, 267, 519, 4720, 540, 519, 7122, 267, 896, 519, 3652, 564, 267, 4755, 3142, 883, 938, 20771, 2619, 513, 1804, 20503, 610, 4497, 538, 513, 6046, 2112, 543, 1272, 593, 713, 4541, 568, 24773, 1639, 610, 1256, 952, 519, 3003, 4541, 568, 10032, 267, 621, 3085, 1406, 2731, 2339, 538, 1022, 4909, 2631, 1317, 17607, 610, 3117, 4109, 1145, 4422, 593, 543, 596, 616, 513, 8142, 1369, 621, 269, 898, 568, 899, 17528, 519, 11359, 3446, 2443, 19849, 23035, 855, 711, 14603, 269, 1703, 786, 581, 513, 1007, 3014, 610, 5326, 593, 513, 1007, 4541, 267, 5310, 1256, 538, 513, 1114, 7122, 563, 10527, 3044, 2196, 4564, 513, 1870, 23829, 268, 639, 783, 3510, 1141, 6724, 10452, 2168, 267, 2804, 267, 543, 1514, 3347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 1053, 543, 519, 1919, 998, 799, 1053, 666, 10536, 1702, 269, 15394, 267, 13460, 267, 20682, 267, 5100, 1362, 17103, 267, 1565, 8924, 267, 543, 23468, 8924, 666, 581, 1634, 607, 1565, 5989, 563, 8253, 1152, 1373, 513, 851, 540, 606, 3872, 9074, 855, 513, 20131, 813, 666, 849, 581, 513, 12939, 540, 1007, 1565, 2409, 543, 2219, 3157, 607, 621, 666, 12189, 519, 1565, 2326, 543, 1102, 2858, 23461, 563, 3383, 267, 676, 22212, 1312, 519, 1565, 1570, 543, 1604, 267, 513, 23468, 813, 666, 3986, 3872, 13838, 543, 5512, 596, 547, 3914, 1053, 1256, 1310, 1153, 3108, 563, 5804, 519, 1657, 1543, 267, 596, 949, 581, 2312, 609, 519, 1523, 540, 2502, 1053, 609, 707, 3872, 9074, 998, 513, 23468, 813, 269, 1809, 519, 1249, 568, 267, 711, 782, 20131, 813, 3435, 666, 3035, 621, 585, 707, 1153, 270, 3919, 563, 2791, 1590, 1020, 513, 10531, 23468, 3498, 585, 707, 11769, 676, 17849, 606, 900, 5799, 20131, 813, 1646, 2754, 563, 13706, 772, 680, 690, 545, 16370, 950, 596, 2461, 3168, 585, 971, 513, 6109, 269, 1284, 2461, 1761, 9367, 267, 9858, 267, 543, 2054, 1235, 945, 666, 798, 519, 2688, 20131, 813, 1646, 1184, 6707, 269, 13555, 938, 4966, 1631, 547, 1376, 707, 20131, 813, 1646, 1788, 2336, 296, 993, 2324, 607, 513, 18947, 1587, 17354, 693, 772, 680, 690, 545, 16370, 623, 26404, 13456, 269, 772, 680, 690, 545, 16370, 568, 513, 3056, 16073, 540, 5985, 543, 1357, 813, 1646, 3435, 538, 519, 2344, 269, 1284, 723, 9447, 1357, 543, 5985, 813, 3435, 585, 3875, 7218, 2501, 2066, 519, 1158, 563, 4467, 906, 616, 6806, 269, 0, 26239, 28942, 5288, 269, 1306, 2106, 28942, 9442, 281, 20212, 543, 6201, 454, 2026, 3906, 4497, 811, 6552, 2319, 2818, 267, 1082, 3549, 616, 10188, 875, 1655, 547, 5968, 609, 741, 4600, 269, 2060, 6552, 267, 7856, 6887, 267, 519, 968, 4752, 823, 892, 666, 1631, 12732, 2789, 942, 10851, 543, 1331, 513, 13781, 609, 8795, 8244, 563, 288, 7856, 2319, 666, 1118, 621, 4101, 547, 1265, 513, 5870, 942, 602, 1568, 585, 3025, 269, 1717, 267, 11401, 5749, 1406, 2141, 2838, 543, 609, 2319, 2818, 2066, 519, 8608, 267, 596, 3580, 723, 6905, 5665, 3108, 543, 1732, 3232, 3795, 585, 707, 1870, 563, 2690, 2500, 5698, 267, 3401, 540, 6552, 6887, 1058, 9260, 2792, 3681, 267, 1519, 950, 547, 946, 607, 2106, 28942, 8957, 15222, 748, 2792, 269, 901, 2376, 2882, 606, 7650, 540, 1142, 267, 607, 1134, 607, 1806, 543, 1655, 2853, 547, 948, 596, 4137, 856, 799, 1522, 960, 1655, 585, 707, 2319, 538, 1114, 7653, 563, 8368, 540, 9115, 912, 268, 16338, 1063, 607, 2106, 28942, 5288, 269, 15222, 748, 2792, 454, 268, 1548, 568, 607, 2106, 28942, 2792, 888, 268, 1548, 568, 15222, 748, 2792, 888, 268, 476, 276, 607, 2106, 28942, 2792, 1655, 2853, 585, 6552, 6887, 454, 268, 476, 276, 15222, 748, 2792, 1655, 2853, 585, 6552, 6887, 454, 11795, 2397, 1063, 607, 2106, 28942, 5288, 269, 15222, 748, 2792, 454, 763, 1883, 3017, 1063, 891, 1079, 2792, 6163, 568, 602, 607, 2106, 28942, 2792, 4523, 936, 513, 1974, 540, 942, 1765, 337, 1430, 982, 5612, 1765, 6112, 15222, 748, 2792, 3217, 1747, 538, 1483, 942, 563, 27039, 593, 519, 9183, 267, 538, 930, 2665, 607, 2106, 28942, 2792, 568, 519, 1034, 2500, 267, 1247, 538, 1866, 15222, 748, 2792, 568, 9053, 269, 12989, 267, 1451, 827, 1018, 1142, 2792, 1505, 1797, 538, 811, 1469, 267, 2059, 609, 607, 2106, 28942, 543, 15222, 748, 2792, 1806, 563, 16665, 281, 476, 1691, 18467, 547, 13724, 22647, 543, 769, 6261, 3205, 12243, 9442, 454, 1432, 568, 607, 2106, 28942, 2792, 888, 288, 27675, 28942, 2792, 3217, 1747, 1063, 1079, 610, 811, 1004, 1510, 8506, 873, 547, 581, 1459, 693, 519, 1482, 942, 267, 543, 1510, 17596, 606, 7525, 16253, 563, 4002, 513, 6552, 2319, 267, 713, 2792, 1505, 2306, 621, 4443, 585, 2319, 2818, 547, 12840, 2066, 942, 10851, 267, 1247, 4227, 942, 6170, 538, 11401, 563, 2690, 1383, 267, 513, 772, 2529, 11607, 22372, 11832, 1522, 6494, 606, 4757, 610, 5048, 693, 519, 1439, 540, 741, 960, 1554, 547, 513, 2319, 4759, 538, 2342, 267, 543, 1174, 602, 789, 786, 2693, 4309, 513, 3210, 519, 1985, 1554, 563, 13349, 1806, 540, 607, 2106, 28942, 2792, 2409, 454, 6624, 3681, 616, 2139, 585, 2319, 10863, 547, 5968, 607, 2106, 11388, 3585, 563, 5278, 607, 2106, 28942, 2792, 1806, 1331, 912, 268, 6034, 6835, 454, 268, 32655, 3561, 8292, 454, 268, 5741, 2359, 1907, 10311, 454, 3682, 338, 543, 931, 540, 607, 2106, 28942, 2792, 454, 12024, 1022, 1106, 540, 2792, 267, 607, 2106, 28942, 2792, 814, 922, 4023, 2671, 540, 2640, 543, 19363, 563, 3682, 338, 540, 607, 2106, 28942, 2792, 1331, 912, 268, 22217, 1881, 2792, 2066, 942, 10851, 454, 268, 5384, 547, 10110, 1344, 543, 4431, 24617, 454, 268, 25841, 19240, 543, 11401, 267, 4543, 2319, 2818, 1445, 454, 268, 18838, 12319, 10223, 1788, 543, 4567, 10311, 454, 8256, 540, 607, 2106, 28942, 2792, 912, 268, 19768, 540, 1483, 6066, 6114, 454, 268, 23225, 518, 3255, 585, 2078, 543, 2319, 2679, 454, 268, 12559, 775, 540, 3159, 543, 1560, 1893, 10291, 454, 268, 4762, 4288, 950, 2854, 2792, 568, 15458, 454, 268, 3502, 4998, 585, 23730, 543, 2054, 1944, 454, 1432, 568, 15222, 748, 2792, 888, 26239, 28942, 2792, 3217, 1747, 1063, 1079, 610, 811, 2319, 2818, 538, 1483, 942, 269, 901, 1106, 540, 2792, 2882, 2661, 5698, 267, 568, 1419, 16516, 267, 543, 3340, 606, 7525, 3210, 563, 4407, 607, 2106, 28942, 2792, 1568, 1134, 538, 1082, 9036, 7653, 1765, 18034, 593, 6552, 6887, 1765, 27675, 28942, 2792, 568, 1869, 2877, 585, 1271, 4640, 543, 23730, 5717, 267, 610, 547, 8207, 513, 2339, 602, 568, 2921, 3476, 982, 4397, 547, 1865, 607, 2106, 11388, 3585, 563, 13349, 1806, 540, 15222, 748, 10618, 2409, 454, 26239, 28942, 2792, 666, 1491, 1747, 2901, 538, 16512, 610, 12303, 563, 5278, 607, 2106, 28942, 2792, 1806, 1331, 912, 268, 2480, 1117, 27968, 538, 16512, 11401, 454, 268, 1306, 6362, 513, 2319, 22940, 513, 2243, 693, 741, 11380, 454, 268, 25439, 7125, 454, 268, 14970, 3381, 11401, 454, 3682, 338, 543, 931, 540, 15222, 748, 2792, 454, 12024, 607, 2106, 28942, 2792, 267, 15222, 748, 2792, 849, 814, 930, 1883, 2640, 543, 19363, 563, 268, 7464, 6066, 2792, 543, 5955, 454, 268, 19662, 547, 3533, 2626, 2055, 543, 1683, 9355, 454, 268, 20556, 2679, 609, 2319, 2818, 454, 268, 20985, 23730, 543, 2054, 1944, 454, 268, 5384, 7997, 3604, 1711, 20319, 2591, 454, 268, 5384, 6170, 538, 11401, 11081, 942, 6823, 2389, 2532, 454, 268, 13262, 689, 5870, 9854, 454, 268, 5940, 10330, 689, 1617, 527, 27965, 1282, 11401, 454, 276, 607, 2106, 28942, 2792, 1655, 2853, 585, 6552, 6887, 454, 4002, 513, 6552, 267, 7856, 2319, 267, 607, 2106, 28942, 2792, 2409, 899, 4757, 543, 10319, 1788, 2359, 2645, 1118, 621, 2653, 547, 1921, 5103, 942, 543, 8244, 3604, 563, 2080, 616, 513, 1906, 4388, 547, 948, 707, 2319, 1118, 519, 1034, 540, 607, 2106, 28942, 2792, 563, 268, 21414, 875, 596, 6108, 707, 942, 454, 268, 5590, 2312, 21852, 454, 268, 22682, 6655, 707, 2115, 454, 268, 29594, 609, 2143, 1344, 454, 268, 5700, 950, 547, 8430, 513, 5870, 454, 272, 269, 21414, 875, 596, 6108, 707, 942, 454, 2171, 4076, 782, 1044, 972, 281, 519, 5662, 17489, 5870, 602, 8255, 3476, 982, 922, 16516, 942, 269, 2107, 267, 513, 5870, 602, 6227, 2798, 602, 1223, 723, 3533, 1044, 17251, 936, 4757, 563, 1103, 519, 5736, 540, 6552, 960, 267, 5870, 20358, 568, 513, 4161, 585, 1082, 6887, 269, 3194, 689, 9786, 1336, 602, 4600, 2066, 519, 8608, 723, 2938, 513, 476, 21857, 260, 2333, 538, 11401, 2094, 519, 4098, 540, 519, 6855, 267, 6028, 1447, 942, 547, 1445, 593, 960, 4247, 563, 2690, 513, 811, 3608, 960, 1554, 267, 1491, 11891, 540, 875, 707, 2319, 2818, 6108, 741, 942, 269, 1280, 1383, 267, 875, 1082, 540, 707, 11401, 1223, 581, 8719, 676, 4757, 610, 10311, 538, 513, 1788, 2359, 1907, 286, 1306, 2106, 28942, 2792, 568, 606, 2500, 1259, 547, 22412, 622, 1344, 543, 7662, 5955, 1510, 8506, 2319, 2818, 547, 581, 538, 513, 5870, 693, 513, 1808, 942, 563, 273, 269, 5590, 2312, 21852, 454, 2690, 607, 2106, 28942, 2792, 547, 960, 267, 4259, 2312, 21852, 593, 782, 5867, 568, 1271, 269, 2913, 2319, 2818, 917, 950, 596, 8910, 899, 547, 5873, 689, 873, 543, 2671, 3077, 12032, 7389, 585, 3785, 563, 2252, 596, 6494, 606, 4757, 547, 513, 2319, 4759, 945, 1522, 711, 2845, 538, 547, 960, 2394, 1310, 596, 2461, 2944, 585, 519, 1554, 267, 1331, 513, 21120, 585, 707, 3210, 563, 6624, 1788, 2359, 2645, 267, 799, 616, 4305, 20218, 267, 2709, 21120, 2359, 2934, 547, 1832, 782, 2319, 2818, 593, 3950, 1765, 7224, 2339, 950, 789, 2461, 2324, 269, 901, 568, 3226, 5363, 585, 3785, 602, 1331, 2789, 3268, 563, 3528, 4259, 513, 21120, 585, 1142, 1900, 538, 519, 1184, 267, 596, 666, 3251, 593, 3950, 609, 519, 1788, 12032, 4266, 269, 901, 786, 948, 2319, 2818, 4383, 741, 942, 676, 3246, 15287, 883, 950, 741, 4062, 540, 519, 1788, 2115, 547, 581, 6192, 563, 274, 269, 22682, 6655, 707, 2115, 454, 288, 1883, 547, 3811, 607, 2106, 28942, 2792, 568, 1603, 2312, 267, 13801, 6835, 593, 782, 5867, 602, 707, 2319, 3096, 269, 1403, 707, 4555, 616, 24813, 267, 621, 786, 25657, 707, 2319, 2818, 543, 1267, 538, 11991, 1394, 7146, 16519, 628, 6114, 563, 12179, 942, 596, 2328, 606, 4757, 610, 5048, 267, 1589, 827, 519, 1246, 909, 2055, 2319, 2818, 1522, 723, 543, 2119, 547, 2232, 873, 1354, 789, 2461, 4280, 269, 6969, 596, 5734, 6494, 267, 1224, 998, 707, 4757, 610, 5048, 547, 3313, 2436, 621, 27711, 782, 519, 2798, 596, 8910, 899, 547, 1205, 2066, 269, 4746, 2015, 1210, 16886, 2798, 610, 6810, 547, 1118, 707, 607, 2106, 28942, 2792, 4443, 547, 7558, 563, 16665, 281, 1215, 547, 11622, 622, 6356, 1947, 609, 22647, 30581, 538, 476, 1708, 273, 454, 275, 269, 29594, 609, 2143, 1344, 454, 2691, 707, 6552, 2319, 2818, 6494, 2055, 3842, 4757, 610, 2307, 585, 1788, 10311, 267, 1491, 519, 942, 543, 1416, 547, 4739, 513, 2143, 3210, 269, 8409, 3063, 1906, 3764, 547, 4431, 538, 3178, 666, 4688, 596, 942, 1524, 519, 4155, 563, 306, 2056, 1055, 513, 2656, 3210, 1522, 3100, 899, 596, 2461, 3478, 519, 2816, 2944, 267, 855, 513, 3728, 16253, 1522, 4734, 856, 1271, 1344, 269, 1635, 711, 1519, 3388, 707, 2319, 2818, 991, 547, 917, 267, 596, 2461, 4259, 1055, 513, 5832, 540, 15737, 610, 6835, 1394, 543, 8521, 267, 799, 666, 3180, 909, 3785, 563, 276, 269, 5700, 950, 547, 8430, 513, 5870, 454, 288, 27675, 28942, 2792, 3884, 1406, 8209, 4998, 585, 1169, 9183, 269, 2755, 15737, 543, 8292, 538, 3838, 6054, 616, 10375, 543, 11327, 267, 789, 1810, 1406, 2141, 5372, 1483, 6066, 11401, 563, 2691, 596, 723, 513, 2656, 2243, 267, 1616, 547, 6494, 936, 513, 3561, 513, 2319, 4759, 16761, 267, 610, 1616, 547, 1118, 2386, 606, 9337, 568, 2139, 538, 1603, 267, 11488, 606, 4757, 610, 824, 1106, 540, 607, 2106, 28942, 2792, 1568, 1134, 563, 4913, 267, 950, 596, 1616, 547, 16540, 609, 707, 2319, 10863, 267, 1865, 513, 1788, 10131, 267, 610, 8207, 606, 3390, 602, 779, 3478, 7294, 936, 4757, 267, 20319, 513, 2661, 5870, 1522, 581, 513, 1732, 4781, 563, 276, 15222, 748, 2792, 1655, 2853, 585, 6552, 6887, 454, 2414, 960, 1927, 7561, 267, 707, 2319, 1058, 1174, 875, 1655, 547, 946, 15222, 748, 2792, 2409, 267, 950, 2877, 269, 3371, 616, 513, 1906, 4388, 547, 1832, 538, 2247, 11652, 5000, 2066, 707, 2319, 23121, 948, 1118, 15222, 748, 2792, 607, 26374, 607, 2009, 563, 268, 23423, 519, 1297, 540, 5870, 28752, 454, 268, 16680, 519, 1289, 610, 5870, 454, 268, 25529, 547, 606, 16786, 454, 268, 25800, 3054, 609, 519, 2934, 454, 268, 27189, 1246, 909, 2792, 454, 272, 269, 23423, 519, 1297, 540, 28752, 454, 16352, 513, 6209, 6643, 609, 1932, 1082, 1004, 1765, 31347, 676, 3381, 267, 6049, 267, 610, 538, 1268, 1765, 4754, 581, 2352, 269, 634, 4901, 1419, 4991, 14845, 543, 666, 6336, 1445, 563, 2691, 707, 2319, 814, 2152, 610, 3584, 547, 1865, 2661, 267, 2864, 982, 607, 2106, 11388, 3585, 267, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5862, 20815, 269, 634, 11329, 1439, 540, 519, 11453, 4682, 883, 1010, 2451, 3750, 269, 769, 1200, 2854, 15194, 267, 519, 9794, 1767, 281, 968, 20288, 5408, 1464, 568, 711, 519, 1482, 607, 4908, 32372, 6011, 1419, 1945, 4386, 264, 1107, 606, 8009, 1522, 10355, 4755, 2943, 1869, 581, 2062, 5408, 762, 269, 1879, 596, 1413, 693, 519, 2898, 6381, 540, 519, 946, 540, 519, 11453, 513, 1483, 1981, 540, 5945, 19674, 607, 2062, 5408, 762, 269, 589, 10257, 1268, 538, 519, 2990, 540, 519, 3610, 1131, 723, 3144, 3268, 547, 2061, 602, 2062, 5408, 762, 1981, 540, 2800, 547, 7338, 1848, 634, 7040, 538, 25470, 12199, 602, 519, 7027, 8959, 547, 2061, 513, 2062, 5408, 762, 1981, 540, 2800, 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 ]
[ 0, 258, 1215, 547, 6218, 4399, 6234, 315, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 259, 2496, 763, 17386, 7533, 692, 11377, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 7807, 2765, 3189, 345, 9508, 263, 274, 14587, 275, 9681, 541, 846, 538, 1250, 2626, 547, 713, 2243, 269, 594, 7948, 1405, 1265, 621, 5701, 9170, 2228, 269, 594, 5555, 1336, 1079, 2081, 547, 6218, 519, 7533, 267, 543, 594, 6415, 20171, 873, 607, 4267, 267, 855, 789, 1312, 3100, 899, 513, 7294, 1033, 712, 585, 513, 2241, 1267, 267, 865, 594, 6415, 20171, 713, 2243, 711, 1152, 547, 2594, 1250, 4267, 855, 849, 547, 2307, 2436, 972, 781, 513, 811, 17715, 8174, 566, 540, 519, 1267, 780, 9616, 602, 2901, 1210, 519, 1505, 4330, 538, 713, 5816, 2022, 610, 2655, 23082, 519, 1379, 3126, 585, 4399, 8421, 263, 272, 21147, 7751, 543, 1210, 692, 11377, 2765, 272, 330, 21702, 272, 346, 338, 10275, 18098, 2765, 272, 338, 13375, 7268, 2765, 272, 330, 10954, 2765, 272, 346, 338, 10275, 4153, 2431, 9385, 282, 9681, 344, 3658, 692, 11377, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 284, 273, 315, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 21702, 346, 8987, 272, 22722, 333, 266, 272, 348, 295, 5332, 2410, 263, 333, 266, 272, 8203, 273, 4153, 282, 269, 9681, 4913, 267, 2094, 519, 7222, 3961, 1510, 519, 20367, 1129, 568, 1031, 547, 3489, 519, 2040, 676, 10442, 519, 7533, 543, 711, 13030, 17930, 267, 594, 6415, 711, 2386, 602, 713, 13054, 3356, 780, 8894, 5417, 6085, 692, 1012, 476, 273, 12226, 692, 763, 2147, 7533, 692, 11377, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 14870, 14587, 343, 315, 9507, 15848, 284, 273, 315, 345, 9508, 263, 274, 264, 9681, 529, 11117, 538, 713, 5816, 2022, 1210, 519, 18839, 1269, 340, 284, 10559, 8421, 263, 272, 14870, 7751, 1384, 17961, 9387, 348, 1422, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 14870, 14587, 343, 315, 9507, 15848, 17851, 1422, 842, 318, 271, 23373, 13727, 21702, 346, 340, 317, 273, 2410, 272, 10559, 9507, 552, 13064, 340, 14990, 9507, 552, 13064, 340, 4153, 12101, 9507, 5918, 8607, 17851, 1422, 842, 318, 271, 23373, 13727, 579, 317, 273, 315, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 315, 9507, 552, 13064, 20692, 4153, 9507, 5918, 8607, 17851, 1422, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 315, 842, 318, 271, 23373, 13727, 579, 317, 273, 315, 9507, 552, 13064, 20692, 4153, 9507, 5918, 8607, 17851, 1422, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 21702, 273, 23533, 317, 274, 348, 8607, 17851, 476, 273, 315, 345, 9508, 263, 274, 9385, 282, 269, 1422, 754, 9387, 10926, 2304, 11530, 3585, 2655, 23082, 1269, 340, 7807, 8421, 263, 272, 21147, 7751, 538, 519, 1459, 7533, 5012, 547, 606, 7533, 909, 547, 4399, 8421, 273, 259, 602, 666, 581, 11117, 538, 2474, 540, 1135, 2643, 690, 15162, 916, 11117, 693, 4399, 2765, 1321, 259, 1384, 17961, 9387, 348, 1299, 315, 842, 318, 271, 17353, 8421, 273, 4153, 2765, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 8607, 815, 261, 1422, 842, 318, 271, 17353, 8421, 273, 4153, 2765, 346, 340, 317, 273, 7346, 9507, 552, 317, 340, 268, 272, 4153, 9507, 552, 317, 340, 315, 12101, 9507, 5918, 8607, 815, 261, 1422, 842, 318, 271, 17353, 8421, 273, 4153, 2765, 346, 340, 317, 273, 2410, 272, 10559, 9507, 552, 13064, 340, 14990, 9507, 5918, 8607, 815, 261, 1422, 842, 318, 271, 17353, 8421, 273, 348, 579, 317, 273, 315, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 315, 9507, 552, 13064, 20692, 4153, 9507, 5918, 8607, 815, 261, 1422, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 315, 842, 318, 271, 17353, 8421, 273, 348, 579, 317, 273, 315, 9507, 552, 13064, 20692, 4153, 9507, 5918, 8607, 815, 261, 1422, 8999, 3709, 333, 284, 271, 11892, 315, 13727, 315, 842, 318, 271, 17353, 8421, 273, 348, 579, 317, 273, 315, 9507, 552, 13064, 20692, 4153, 9507, 5918, 8607, 815, 261, 1422, 2765, 1724, 315, 8421, 317, 3953, 10954, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 21702, 272, 333, 13375, 8987, 273, 13064, 333, 4153, 8421, 317, 2420, 266, 273, 315, 842, 318, 271, 17353, 8421, 273, 348, 579, 315, 9507, 552, 13064, 20692, 4153, 9507, 5918, 9368, 264, 8607, 815, 261, 1422, 2765, 1724, 315, 8421, 317, 3953, 10954, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 13375, 8987, 315, 2765, 272, 333, 273, 13064, 333, 4153, 8421, 317, 2420, 10954, 2765, 273, 23533, 317, 273, 4153, 3847, 8987, 273, 13064, 333, 4153, 8421, 273, 10954, 842, 318, 271, 17353, 8421, 273, 4153, 9507, 552, 13064, 20692, 4153, 9507, 5918, 9368, 9385, 2431, 264, 8607, 815, 261, 1422, 2765, 1724, 315, 8421, 317, 3953, 10954, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 13375, 8987, 315, 2765, 272, 333, 273, 13064, 333, 4153, 8421, 317, 2420, 10559, 2765, 273, 23533, 317, 273, 348, 273, 13064, 333, 4153, 8421, 273, 10559, 2765, 273, 23533, 317, 274, 4153, 3847, 263, 273, 13064, 333, 18511, 272, 9368, 9385, 2431, 264, 8607, 815, 261, 1422, 3698, 315, 30537, 3189, 28072, 4067, 346, 30537, 3686, 1422, 2765, 1724, 315, 8421, 317, 3953, 10559, 30537, 318, 272, 13375, 7268, 2765, 1321, 9368, 9385, 8421, 317, 2420, 268, 273, 315, 30537, 318, 273, 13375, 7268, 2765, 1321, 9368, 9385, 8421, 273, 268, 273, 315, 30537, 318, 274, 13375, 7268, 2765, 1321, 9368, 11924, 273, 315, 345, 9508, 263, 274, 264, 8607, 815, 261, 1422, 2765, 1724, 315, 8421, 317, 3953, 10559, 8421, 273, 315, 8421, 317, 2420, 268, 273, 13375, 7268, 2765, 3189, 7032, 317, 273, 2410, 1321, 32757, 2765, 1321, 315, 8421, 317, 2420, 9368, 9385, 8421, 273, 268, 273, 13375, 7268, 2765, 1626, 315, 8421, 317, 3953, 10559, 2765, 3189, 7032, 317, 273, 2410, 1321, 4153, 8421, 273, 10954, 2765, 4281, 315, 345, 9508, 263, 274, 9385, 2431, 11924, 273, 315, 345, 9508, 263, 274, 264, 8607, 815, 261, 1422, 2765, 3189, 345, 9508, 263, 274, 14587, 275, 20939, 269, 1422, 754, 9387, 10926, 8253, 1152, 568, 713, 513, 2864, 7294, 8174, 566, 540, 513, 1454, 12863, 1267, 282, 621, 849, 5654, 607, 952, 519, 1135, 2643, 690, 15162, 332, 2418, 949, 723, 1044, 5833, 1210, 519, 1459, 7533, 538, 519, 1101, 1747, 780, 8894, 301, 823, 256, 594, 1589, 602, 707, 9819, 666, 581, 20902, 281, 6695, 842, 318, 271, 317, 272, 1422, 2765, 3189, 8421, 18898, 263, 272, 21147, 20972, 343, 348, 11459, 7807, 2765, 3189, 8421, 3867, 333, 266, 272, 12917, 272, 266, 345, 20972, 272, 266, 333, 18511, 333, 256, 1422, 8999, 3709, 329, 284, 272, 11892, 333, 1422, 2765, 3189, 8421, 3867, 333, 18191, 266, 272, 12917, 272, 266, 345, 20972, 263, 333, 18191, 266, 272, 25631, 4153, 3667, 346, 30537, 20731, 329, 1422, 3847, 7268, 2765, 346, 272, 2410, 272, 266, 345, 348, 1422, 2431, 11924, 333, 256, 1422, 345, 9508, 3799, 266, 272, 9984, 333, 256, 1422, 3667, 346, 30537, 13925, 333, 266, 272, 348, 1422, 3847, 263, 1422, 2765, 346, 272, 2410, 272, 266, 345, 4153, 2431, 14638, 1107, 1109, 695, 984, 327, 527, 269, 328, 1343, 8734, 476, 2641, 1412, 1724, 693, 476, 277, 281, 3393, 454, 5417, 6085, 692, 2171, 666, 9192, 519, 1459, 7533, 609, 519, 2147, 7533, 692, 11377, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 14870, 14587, 343, 315, 9507, 15848, 284, 273, 315, 345, 9508, 263, 274, 264, 9681, 263, 5408, 1250, 824, 2626, 264, 883, 692, 17961, 9387, 348, 1422, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 10559, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 14870, 14587, 343, 315, 9507, 15848, 17851, 1422, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 10954, 842, 3709, 268, 272, 11892, 271, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 8607, 17851, 1422, 842, 3709, 268, 272, 11892, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 20939, 269, 1422, 754, 9387, 10926, 10190, 649, 666, 2347, 519, 26048, 540, 5610, 676, 513, 12931, 22511, 538, 519, 5580, 3368, 1950, 7077, 1384, 17961, 9387, 348, 1422, 842, 3709, 268, 272, 11892, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 17851, 1422, 2002, 21702, 3189, 8421, 317, 273, 263, 272, 266, 345, 14587, 345, 315, 9507, 546, 345, 10559, 842, 21702, 3189, 8421, 317, 273, 13375, 263, 272, 10954, 3698, 315, 324, 3189, 9507, 552, 17353, 9507, 1775, 315, 12978, 14990, 324, 9368, 264, 7346, 324, 4153, 9507, 546, 315, 324, 8607, 17851, 28363, 9507, 1775, 315, 842, 318, 271, 23373, 7032, 315, 8421, 317, 273, 13375, 263, 272, 10954, 324, 9368, 9385, 9507, 546, 315, 12978, 20939, 267, 1422, 754, 9387, 10926, 3602, 519, 7533, 936, 519, 6806, 26048, 8709, 8460, 2094, 972, 616, 1100, 18635, 3330, 519, 26048, 780, 2171, 917, 602, 519, 16494, 851, 540, 713, 4082, 8709, 8460, 267, 2094, 621, 18304, 547, 4642, 609, 513, 1483, 7533, 267, 865, 649, 1152, 723, 547, 6218, 519, 1483, 851, 1384, 17961, 9387, 348, 28363, 9507, 1775, 315, 842, 318, 271, 23373, 7032, 315, 8421, 317, 273, 13375, 263, 272, 10954, 324, 9368, 9385, 9507, 546, 315, 12978, 17851, 1422, 3725, 13375, 8987, 315, 9507, 1775, 315, 842, 318, 271, 23373, 7032, 315, 8421, 317, 273, 13375, 263, 272, 10954, 324, 9368, 9385, 9507, 546, 315, 12978, 9368, 264, 8607, 17851, 1422, 3725, 13375, 8987, 315, 9507, 1775, 315, 842, 318, 271, 23373, 7032, 13375, 7268, 8421, 13375, 347, 272, 10954, 324, 9368, 347, 10954, 9507, 1775, 315, 1173, 13375, 263, 272, 10954, 324, 9368, 9385, 2431, 8203, 273, 315, 9507, 546, 315, 12978, 9368, 264, 8607, 17851, 476, 273, 315, 842, 318, 271, 23373, 7032, 315, 8421, 13375, 347, 272, 10954, 324, 9368, 24689, 1173, 13375, 263, 272, 10954, 324, 9368, 9385, 9507, 546, 315, 12978, 8607, 17851, 476, 273, 315, 842, 318, 271, 23373, 7032, 21702, 1321, 315, 8421, 13375, 263, 273, 266, 273, 315, 6523, 315, 12978, 9368, 9385, 2765, 315, 12978, 273, 315, 9507, 546, 315, 12978, 8607, 17851, 1422, 2765, 1321, 315, 842, 318, 271, 23373, 7032, 315, 8421, 13375, 7268, 3847, 7268, 9507, 552, 17353, 9507, 1775, 315, 12978, 270, 273, 23180, 9507, 552, 3867, 10559, 9507, 1775, 315, 12978, 270, 273, 4153, 2431, 8203, 273, 9368, 9385, 12978, 315, 9507, 546, 315, 12978, 8607, 17851, 1422, 842, 318, 271, 23373, 7032, 315, 8421, 13375, 7268, 9507, 552, 17353, 9507, 1775, 315, 12978, 270, 273, 23180, 9507, 552, 3867, 10559, 9507, 1775, 315, 12978, 270, 273, 4153, 2431, 9385, 12978, 315, 12101, 9507, 546, 315, 12978, 8607, 17851, 1422, 3725, 315, 842, 318, 271, 23373, 7032, 13375, 7268, 2765, 3189, 9507, 1775, 315, 12978, 348, 273, 10954, 8421, 13375, 263, 272, 10954, 9507, 552, 3867, 10559, 9507, 1775, 315, 12978, 4153, 2431, 9385, 2431, 9385, 12978, 315, 12101, 9507, 546, 315, 12978, 8607, 17851, 1422, 3725, 315, 842, 318, 271, 23373, 7032, 315, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 21702, 346, 8987, 272, 22722, 333, 266, 272, 4153, 9507, 552, 3867, 10559, 9507, 538, 315, 12978, 3686, 333, 315, 12978, 315, 12101, 9507, 546, 315, 12978, 8607, 17851, 1422, 8999, 3709, 333, 284, 272, 11892, 315, 13727, 21702, 24877, 272, 266, 8987, 272, 8203, 333, 2410, 333, 317, 274, 348, 8607, 17851, 28363, 345, 9508, 263, 274, 9984, 315, 9508, 263, 274, 264, 8607, 17851, 28363, 345, 9508, 263, 274, 9984, 315, 2765, 4097, 315, 345, 9508, 263, 274, 264, 8607, 17851, 28363, 2765, 10619, 315, 345, 9508, 263, 274, 9385, 282, 269, 1422, 754, 9387, 10926, 763, 5551, 7533, 568, 519, 2040, 540, 519, 1079, 2164, 1384, 17961, 9387, 348, 1422, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 21147, 14587, 343, 315, 9507, 15848, 17851, 1422, 842, 318, 271, 317, 272, 21702, 3189, 8421, 317, 273, 263, 272, 14870, 14587, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 15352, 1767, 1100, 269, 1924, 8361, 13264, 609, 7507, 547, 1205, 513, 16028, 563, 263, 1103, 1100, 1880, 1931, 994, 272, 3791, 540, 519, 2551, 540, 4789, 5747, 538, 519, 4563, 12280, 454, 14631, 274, 268, 8361, 32682, 806, 21965, 540, 589, 16400, 543, 544, 1551, 625, 14732, 645, 1961, 2106, 454, 10955, 1189, 594, 4535, 476, 14631, 279, 454, 14631, 277, 268, 14732, 645, 1961, 2106, 13401, 454, 763, 4563, 12280, 5949, 689, 476, 13670, 279, 268, 13670, 271, 454, 30875, 23446, 556, 11220, 689, 476, 5611, 280, 268, 15150, 278, 630, 4343, 1296, 994, 30875, 23446, 5747, 540, 513, 2068, 1572, 30456, 563, 14631, 277, 268, 8361, 544, 1551, 625, 13191, 1530, 2096, 712, 945, 3947, 4332, 547, 11977, 476, 273, 1296, 2663, 563, 14631, 277, 268, 4130, 20708, 625, 6806, 269, 476, 14631, 280, 268, 700, 24147, 20708, 625, 6806, 269, 0, 763, 9998, 6592, 27601, 941, 538, 519, 9147, 3624, 1063, 476, 13078, 7460, 543, 476, 6942, 7460, 269, 1452, 3756, 5280, 547, 8804, 1271, 2229, 3785, 267, 971, 607, 519, 4279, 9931, 540, 3624, 269, 13536, 267, 1282, 519, 4936, 7276, 267, 13169, 3756, 941, 4371, 607, 9913, 585, 12129, 6105, 269, 769, 476, 13893, 276, 267, 519, 4936, 14890, 31217, 6896, 513, 13169, 602, 6659, 7482, 585, 519, 2749, 779, 7816, 269, 634, 16101, 585, 519, 23602, 729, 1419, 513, 1305, 540, 5386, 12129, 2264, 269, 898, 729, 6059, 602, 519, 1101, 13169, 3014, 729, 4502, 811, 982, 2475, 259, 10204, 267, 1822, 538, 476, 1001, 275, 563, 4407, 519, 5817, 7954, 568, 519, 1482, 267, 621, 779, 1271, 547, 2015, 519, 10626, 540, 11449, 513, 13169, 19044, 269, 589, 13169, 19044, 949, 2099, 513, 2530, 610, 2744, 547, 519, 1367, 267, 855, 538, 519, 1279, 2196, 267, 519, 771, 583, 1006, 540, 513, 13075, 2530, 949, 29387, 519, 1871, 540, 519, 1875, 15065, 8767, 2744, 269, 2755, 13169, 3756, 949, 3100, 4744, 25630, 547, 2228, 8732, 16394, 267, 789, 616, 16155, 3982, 2472, 543, 519, 1533, 27601, 616, 3743, 585, 9878, 13169, 23602, 563, 4407, 1082, 1004, 12314, 13169, 17914, 609, 25877, 13989, 267, 713, 3884, 1406, 3020, 269, 24722, 13169, 4609, 6133, 519, 1482, 13169, 17914, 607, 741, 2244, 2861, 13413, 269, 1306, 1279, 607, 596, 1246, 519, 3652, 540, 519, 13169, 267, 596, 666, 581, 2386, 602, 596, 2461, 10283, 538, 519, 1482, 3014, 269, 634, 1152, 3017, 568, 602, 2228, 13169, 4609, 1810, 1406, 6133, 17914, 547, 519, 4013, 13169, 269, 1717, 267, 952, 596, 3094, 267, 596, 786, 4309, 519, 1482, 16101, 607, 952, 596, 1185, 12349, 606, 4013, 13169, 19044, 269, 0, 25889, 281, 901, 2376, 6663, 547, 8495, 519, 7872, 540, 15268, 519, 11983, 11387, 543, 519, 11983, 10260, 538, 3210, 547, 1585, 26137, 267, 3492, 878, 267, 568, 6248, 267, 3666, 267, 543, 5578, 5751, 267, 2436, 891, 2242, 616, 8628, 610, 10151, 563, 32325, 281, 589, 2239, 2689, 540, 2090, 5342, 538, 519, 2361, 540, 11983, 9542, 1739, 3635, 2866, 538, 5616, 16159, 267, 31883, 267, 32253, 267, 3163, 1463, 267, 3213, 577, 8735, 267, 2480, 22455, 267, 590, 2839, 12240, 538, 519, 1974, 540, 476, 1220, 271, 547, 476, 1708, 271, 609, 519, 17161, 281, 8849, 9542, 267, 11983, 9542, 267, 3635, 2866, 267, 5778, 27415, 640, 267, 5778, 3146, 4725, 10949, 267, 11983, 29010, 267, 26137, 2866, 267, 568, 6248, 2866, 267, 543, 3492, 878, 2866, 729, 2944, 269, 1323, 4674, 729, 1500, 547, 2697, 543, 4983, 1382, 5532, 547, 3635, 2126, 543, 1610, 23956, 538, 2635, 543, 7210, 7606, 689, 1851, 519, 1114, 2090, 538, 713, 1888, 269, 11778, 281, 689, 476, 3374, 25945, 4930, 267, 476, 1321, 4930, 941, 9691, 12649, 543, 4080, 538, 1079, 9115, 281, 476, 272, 4149, 335, 1400, 9542, 543, 3666, 5751, 910, 273, 268, 1975, 1400, 9542, 543, 568, 6248, 267, 3492, 878, 267, 543, 26137, 5751, 454, 6962, 281, 3245, 713, 2689, 267, 621, 666, 581, 11943, 602, 519, 11983, 3060, 568, 4628, 22537, 267, 543, 519, 6073, 540, 713, 9542, 568, 4625, 8200, 593, 2866, 543, 5179, 1599, 269, 634, 7872, 543, 991, 540, 9354, 3498, 540, 519, 11983, 29010, 7613, 538, 519, 14317, 1982, 540, 7606, 609, 14715, 3676, 971, 607, 8482, 616, 896, 20040, 538, 1004, 609, 14715, 2619, 3098, 971, 607, 8482, 269, 0, 2005, 779, 519, 942, 540, 1032, 538, 8828, 15930, 950, 519, 3141, 6238, 547, 1745, 513, 2370, 15911, 543, 519, 2011, 568, 513, 3787, 1447, 535, 3419, 573, 269, 898, 779, 5176, 12202, 4005, 267, 543, 952, 596, 2461, 15691, 585, 513, 5127, 540, 10477, 18742, 267, 1631, 568, 519, 942, 547, 1205, 3323, 563, 9359, 707, 5452, 454, 2252, 596, 2461, 4358, 930, 540, 707, 2371, 689, 15072, 267, 1631, 949, 519, 942, 547, 1205, 1346, 5452, 2469, 269, 1284, 2161, 968, 16673, 892, 1317, 1142, 1826, 540, 6079, 786, 991, 1945, 1114, 269, 2368, 991, 547, 581, 521, 1144, 16280, 5216, 4374, 1354, 519, 2063, 15470, 4266, 267, 1247, 1866, 949, 991, 811, 610, 1447, 942, 563, 1692, 798, 596, 1265, 856, 286, 3367, 519, 1394, 540, 707, 6079, 21168, 547, 1118, 2386, 596, 1205, 519, 12557, 1318, 563, 5278, 5452, 991, 547, 581, 521, 1144, 2047, 13964, 1317, 519, 2030, 4465, 1406, 20496, 13003, 532, 563, 8256, 738, 713, 5750, 693, 19578, 3557, 2160, 22362, 779, 3896, 585, 513, 1592, 540, 2442, 5452, 543, 741, 23286, 4170, 269, 634, 2160, 540, 16713, 22362, 779, 3896, 3091, 513, 3802, 28443, 540, 519, 6079, 3613, 691, 532, 1184, 563, 7476, 519, 5127, 4712, 454, 5591, 2339, 1018, 596, 2461, 3395, 2443, 5388, 610, 5810, 2443, 513, 3811, 8828, 15930, 4677, 6238, 609, 519, 3037, 269, 634, 1101, 1900, 568, 547, 2973, 856, 2063, 1032, 779, 11935, 543, 519, 22938, 602, 519, 4365, 4547, 538, 563, 303, 1638, 909, 18047, 267, 986, 651, 909, 782, 519, 11935, 267, 543, 26565, 540, 621, 269, 3973, 267, 979, 998, 519, 3037, 543, 4894, 7725, 610, 4376, 3116, 602, 786, 1764, 13035, 1762, 5072, 563, 13014, 707, 2371, 6126, 609, 930, 1134, 268, 8527, 1540, 23226, 610, 11003, 883, 519, 3037, 269, 15380, 267, 827, 476, 273, 6279, 540, 519, 1570, 6404, 883, 519, 1283, 6279, 540, 3037, 568, 1175, 827, 1318, 563, 10190, 267, 2285, 621, 513, 1434, 267, 2620, 14450, 563, 5522, 1218, 689, 519, 21543, 454, 6624, 8768, 22254, 4734, 519, 6079, 3613, 691, 532, 547, 3318, 25210, 269, 1403, 602, 4992, 899, 596, 267, 7227, 2394, 1310, 519, 2063, 15470, 4266, 547, 2212, 547, 707, 5172, 8828, 15930, 21543, 547, 3442, 519, 5810, 585, 707, 4677, 563, 8253, 2386, 950, 596, 666, 2503, 519, 2063, 15470, 538, 8828, 15930, 286, 16731, 1325, 2006, 659, 2593, 547, 1265, 856, 563, 4537, 641, 585, 707, 2371, 593, 513, 1554, 950, 596, 723, 1906, 824, 2144, 571, 2738, 547, 2196, 610, 1118, 519, 21543, 519, 2063, 3247, 593, 707, 1592, 269, 1411, 1810, 1406, 1616, 707, 2371, 547, 1694, 538, 519, 1286, 267, 7092, 689, 3002, 543, 513, 3668, 540, 2011, 563, 10673, 1406, 1544, 593, 9544, 707, 1007, 5810, 1318, 2476, 282, 789, 991, 513, 16795, 4367, 883, 519, 4677, 563, 1607, 1184, 568, 1634, 607, 968, 14551, 2287, 1055, 1848, 2913, 707, 1007, 2371, 689, 519, 21543, 1694, 538, 513, 695, 8014, 1858, 585, 827, 513, 3018, 547, 1831, 26224, 547, 519, 1007, 1604, 563, 763, 2182, 2287, 1055, 1184, 568, 513, 2370, 1114, 585, 2371, 596, 4076, 6738, 689, 6079, 269, 3689, 267, 1265, 513, 1352, 2741, 1229, 9205, 1858, 585, 873, 269, 2201, 519, 1101, 1554, 267, 4734, 873, 13964, 585, 827, 1079, 3108, 269, 21561, 519, 2179, 540, 942, 13964, 1142, 1554, 585, 827, 513, 3018, 563, 2704, 2006, 659, 2593, 3091, 513, 3381, 593, 519, 2182, 2287, 1055, 1184, 563, 7476, 873, 883, 519, 2666, 454, 2691, 596, 2030, 267, 4734, 2614, 2230, 1472, 1142, 2030, 547, 2272, 585, 922, 22638, 4463, 543, 8700, 269, 634, 2179, 540, 2230, 1142, 2030, 2115, 1058, 581, 7396, 593, 519, 1394, 540, 519, 6079, 17142, 563, 763, 9475, 596, 2030, 538, 1058, 581, 519, 1482, 3178, 693, 799, 519, 2030, 568, 4867, 3395, 267, 855, 7466, 519, 8700, 563, 22512, 2685, 4894, 519, 6079, 1782, 689, 922, 1494, 676, 7432, 519, 1494, 26700, 1524, 936, 707, 1930, 1688, 269, 8550, 7485, 593, 519, 2030, 547, 1205, 621, 856, 540, 519, 1494, 269, 1403, 621, 779, 12758, 267, 2046, 519, 5011, 540, 519, 1494, 547, 3138, 4923, 621, 543, 5924, 7148, 519, 5377, 540, 519, 1494, 563, 20278, 519, 6079, 1782, 883, 519, 9544, 8559, 543, 6445, 519, 8559, 609, 3037, 269, 1879, 621, 568, 2407, 267, 946, 707, 3946, 547, 9900, 2046, 519, 3037, 1472, 519, 3490, 540, 519, 2030, 269, 3973, 267, 1216, 1134, 547, 948, 519, 2030, 7017, 543, 547, 4894, 2011, 22836, 689, 1472, 519, 5072, 563, 3080, 2063, 1900, 454, 763, 4365, 538, 8828, 15930, 949, 581, 7646, 1318, 1631, 267, 855, 4832, 786, 581, 1934, 1354, 649, 917, 621, 269, 1411, 666, 2759, 1394, 593, 875, 1419, 596, 3580, 991, 547, 1216, 543, 1202, 3634, 519, 2371, 685, 5072, 676, 7311, 513, 4494, 540, 22890, 936, 519, 3037, 563, 306, 7331, 513, 476, 273, 20878, 4494, 2429, 519, 8768, 5127, 267, 5329, 621, 693, 2547, 476, 277, 6279, 689, 1142, 2030, 547, 2057, 4232, 563, 4517, 972, 596, 723, 621, 256, 2659, 1007, 5614, 8768, 5127, 269, 1306, 1279, 607, 596, 1832, 606, 3750, 593, 519, 7509, 538, 519, 3037, 630, 18484, 1406, 896, 268, 610, 936, 21226, 1070, 596, 3580, 723, 513, 24120, 540, 2681, 782, 4005, 1279, 563, 310, 12245, 21807, 11022, 23467, 585, 22312, 543, 7464, 24529, 7896, 538, 8828, 15930, 269, 1411, 1631, 723, 513, 3406, 2599, 547, 948, 596, 609, 707, 8828, 15930, 1753, 3406, 256, 1656, 594, 6557, 4712, 547, 1683, 596, 609, 513, 2688, 1753, 29925, 952, 596, 2461, 6236, 9513, 707, 1753, 269, 2913, 779, 1921, 547, 1865, 875, 594, 666, 948, 596, 269, 13555, 13690, 828, 569, 2142, 534, 693, 476, 22145, 268, 24496, 268, 9873, 280, 454, 303, 10062, 676, 654, 8248, 300, 1738, 334, 0, 23208, 11585, 814, 1044, 513, 2101, 1858, 540, 2534, 538, 2487, 1296, 269, 13518, 540, 519, 2487, 960, 543, 1382, 4681, 723, 1044, 5393, 3407, 547, 12206, 543, 24085, 543, 607, 4282, 547, 519, 1353, 540, 4207, 11585, 269, 901, 556, 22568, 267, 1101, 3370, 538, 476, 2735, 278, 267, 6799, 606, 7650, 540, 4207, 7835, 538, 782, 519, 2101, 8371, 540, 519, 9015, 269, 1306, 971, 621, 2488, 513, 3407, 4367, 547, 519, 1641, 267, 513, 2689, 540, 519, 5767, 1533, 540, 519, 1148, 543, 513, 24072, 547, 2104, 1382, 8846, 563, 763, 590, 17803, 18361, 540, 8466, 17323, 2488, 606, 3486, 543, 538, 3829, 7650, 540, 519, 2361, 609, 11271, 602, 4983, 519, 1686, 267, 1459, 2783, 543, 2104, 4644, 540, 3140, 11585, 538, 6935, 547, 2487, 7835, 543, 1699, 1382, 563, 309, 580, 5387, 3140, 3408, 814, 2799, 2066, 519, 1514, 9443, 538, 519, 2250, 1079, 5756, 269, 20323, 3370, 607, 513, 3126, 540, 4930, 538, 519, 4760, 4317, 3163, 3778, 267, 519, 3594, 538, 713, 4320, 1683, 513, 3391, 547, 3140, 1514, 2257, 676, 5619, 532, 519, 946, 540, 3140, 1239, 543, 16097, 538, 19795, 267, 15257, 267, 2797, 2257, 267, 9297, 267, 543, 11585, 269, 3962, 1557, 538, 12056, 519, 12815, 17188, 2673, 3007, 547, 519, 2189, 2042, 543, 2409, 2404, 609, 922, 1880, 1514, 3621, 9015, 269, 1635, 3695, 2055, 6659, 676, 1312, 4207, 543, 811, 3964, 1568, 1369, 1142, 2361, 267, 519, 4589, 1397, 602, 930, 540, 519, 1655, 543, 1034, 5499, 1382, 538, 1142, 540, 519, 1514, 9443, 2882, 513, 2178, 3140, 5057, 269, 4935, 267, 607, 18238, 670, 269, 3933, 330, 330, 517, 523, 781, 4367, 2982, 267, 891, 3594, 3144, 1927, 1118, 621, 2312, 602, 3140, 1382, 2488, 513, 1713, 1883, 547, 1082, 540, 519, 2101, 2152, 538, 519, 1514, 9443, 269, 2271, 2105, 585, 519, 3395, 2146, 540, 1312, 1514, 3744, 543, 12206, 5461, 538, 2542, 610, 15388, 13840, 5483, 1514, 2257, 267, 12056, 519, 12815, 5267, 2104, 8846, 602, 1522, 581, 3144, 676, 713, 960, 269, 26361, 782, 267, 676, 3246, 513, 1305, 540, 3593, 781, 10274, 2854, 676, 15197, 1514, 3744, 267, 621, 7512, 2104, 10465, 3444, 902, 1063, 1686, 543, 1142, 540, 519, 1514, 9443, 269, 19928 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 609, 896, 9526, 902, 538, 1010, 13186, 256, 901, 3069, 2366, 695, 1392, 1524, 1250, 12636, 780, 3719, 1287, 3357, 519, 6397, 4729, 6335, 281, 930, 3755, 11130, 1996, 519, 2856, 267, 19101, 602, 972, 7012, 1405, 2614, 6405, 2963, 547, 6961, 1022, 4990, 540, 1463, 5698, 1063, 519, 5159, 269, 1358, 11329, 856, 602, 1247, 519, 1568, 1705, 2671, 1978, 4162, 267, 789, 28209, 3648, 538, 2511, 543, 3159, 780, 2026, 594, 1224, 998, 519, 12699, 7521, 11200, 532, 1354, 803, 267, 594, 7691, 1945, 1271, 269, 3203, 267, 2523, 3140, 1148, 267, 666, 1419, 1745, 11397, 543, 2150, 13224, 762, 269, 1809, 1934, 649, 941, 267, 2834, 1004, 13730, 827, 1565, 543, 4687, 938, 1702, 269, 1656, 5103, 938, 22195, 267, 649, 941, 8087, 538, 938, 2648, 585, 891, 4190, 13144, 780, 7437, 713, 5385, 267, 594, 6591, 3407, 4030, 883, 1312, 519, 1158, 540, 674, 12661, 880, 7206, 543, 2228, 2950, 269, 4634, 952, 649, 7948, 1405, 17046, 569, 2161, 2436, 610, 711, 6490, 1782, 8329, 547, 8709, 3541, 1284, 344, 6577, 781, 960, 267, 649, 1185, 17275, 7279, 543, 6273, 1142, 824, 547, 1832, 3695, 269, 2334, 4805, 1500, 519, 6643, 26656, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 10527, 2626, 547, 519, 2243, 281, 1548, 568, 519, 2012, 540, 519, 1268, 945, 1522, 723, 19443, 609, 519, 896, 9526, 532, 538, 11709, 3541, 1284, 344, 6577, 781, 13186, 286, 568, 3330, 519, 2376, 281, 634, 7788, 10586, 14405, 8185, 593, 8709, 3541, 1284, 344, 6577, 781, 476, 16960, 271, 338, 7200, 341, 516, 7788, 10586, 267, 1010, 524, 269, 476, 13970, 276, 476, 12142, 9069, 320, 26749, 12328, 267, 543, 519, 595, 1663, 3913, 344, 7788, 10586, 630, 322, 269, 476, 16409, 276, 1700, 4037, 1070, 799, 568, 11911, 547, 2901, 8709, 3541, 1284, 344, 6577, 610, 6490, 1782, 269, 6490, 1782, 3592, 6157, 729, 22961, 5367, 547, 8709, 3541, 1284, 344, 6577, 538, 29761, 2394, 4259, 909, 1010, 1378, 13186, 538, 25362, 2471, 28069, 1310, 476, 16409, 276, 269, 6490, 1782, 781, 7788, 10586, 568, 811, 5499, 267, 609, 18305, 971, 607, 519, 7390, 656, 23109, 602, 941, 15534, 538, 519, 4505, 10367, 269, 4340, 547, 570, 650, 6953, 565, 3455, 16907, 7815, 339, 267, 711, 1152, 729, 6490, 1782, 5432, 609, 8709, 3541, 1284, 344, 6577, 781, 18305, 543, 15885, 267, 855, 646, 1522, 723, 19443, 609, 519, 896, 9526, 532, 538, 8709, 3541, 1284, 344, 6577, 781, 13186, 269, 634, 9505, 1562, 593, 519, 1318, 616, 23652, 689, 519, 7200, 341, 516, 8470, 267, 519, 24516, 1540, 1225, 1555, 5526, 538, 519, 9069, 320, 2468, 27679, 577, 781, 834, 25486, 10586, 2668, 288, 2631, 540, 3350, 568, 24829, 2429, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 476, 1626, 281, 4197, 1215, 22749, 6435, 5753, 543, 19198, 692, 5331, 596, 723, 1079, 16254, 267, 543, 707, 3237, 666, 1100, 3476, 1491, 1416, 540, 596, 782, 269, 2290, 24107, 7575, 538, 609, 9835, 2742, 267, 1776, 4422, 547, 2661, 609, 589, 2863, 773, 590, 826, 267, 855, 945, 786, 948, 1683, 585, 596, 286, 901, 568, 1141, 6608, 1900, 538, 1107, 789, 1616, 547, 2327, 602, 1169, 1126, 814, 1426, 593, 741, 6676, 267, 9660, 593, 741, 1394, 267, 543, 513, 8122, 936, 741, 2212, 269, 1358, 798, 713, 998, 1945, 1572, 834, 25791, 10304, 3292, 2437, 799, 2285, 2724, 610, 824, 2200, 547, 1004, 945, 991, 873, 269, 4653, 267, 649, 3513, 1451, 827, 835, 971, 1982, 538, 8832, 8581, 2439, 4131, 781, 2161, 972, 781, 513, 1920, 2713, 538, 645, 1409, 770, 267, 543, 519, 3237, 8237, 909, 269, 1677, 1118, 2386, 1312, 3158, 543, 19033, 3565, 9425, 2509, 2921, 1416, 540, 741, 3214, 267, 972, 781, 1945, 1572, 834, 18876, 1489, 1701, 898, 1797, 602, 1256, 952, 519, 1453, 1810, 1405, 2661, 609, 1312, 3237, 15042, 267, 1142, 2385, 1869, 2115, 547, 13863, 538, 585, 1919, 899, 1426, 267, 7802, 267, 543, 2238, 269, 3767, 267, 1018, 4523, 950, 1272, 4991, 811, 7199, 286, 12085, 899, 8027, 267, 5201, 267, 543, 14770, 625, 1942, 811, 982, 1354, 256, 4270, 267, 1175, 607, 513, 1434, 2462, 7015, 1131, 4188, 1010, 27108, 950, 4280, 676, 7820, 16254, 267, 3006, 891, 5666, 1689, 1932, 780, 1103, 938, 1650, 267, 1577, 781, 27642, 667, 611, 17188, 1269, 276, 829, 3018, 585, 1142, 4819, 607, 1126, 1489, 269, 1809, 1287, 267, 3388, 3587, 11720, 1512, 538, 645, 1409, 770, 256, 1924, 267, 1310, 3206, 621, 998, 267, 8387, 4956, 547, 6318, 519, 2179, 667, 611, 8309, 910, 1631, 646, 9364, 2628, 1269, 278, 829, 3018, 3079, 540, 1269, 276, 269, 2334, 1259, 267, 16474, 1223, 1732, 6488, 547, 1413, 1310, 1200, 3214, 1247, 8391, 930, 2883, 6351, 780, 3719, 7227, 256, 21744, 875, 1454, 667, 611, 17188, 5540, 1082, 824, 4031, 543, 3652, 1472, 11033, 543, 6811, 269, 1879, 2242, 899, 713, 4755, 267, 2576, 1590, 9337, 1346, 6054, 9935, 865, 3025, 17358, 519, 1007, 1062, 269, 1656, 602, 781, 10502, 1946, 938, 3184, 781, 3561, 6818, 256, 1452, 10311, 1832, 1514, 2533, 4881, 12347, 543, 3885, 6462, 1282, 9157, 2053, 780, 3383, 3314, 267, 2436, 621, 781, 4543, 856, 2370, 14552, 543, 19946, 610, 1818, 2386, 3025, 1281, 741, 851, 585, 2486, 781, 17646, 5006, 2818, 267, 22257, 1949, 960, 2182, 3297, 519, 10207, 547, 1711, 513, 3106, 2121, 585, 721, 782, 269, 3807, 899, 6061, 513, 11015, 267, 1142, 4062, 4249, 922, 1909, 267, 4180, 602, 18864, 8813, 998, 519, 18015, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 302, 24810, 7797, 630, 295, 753, 731, 994, 275, 5437, 476, 1001, 274, 11555, 309, 3041, 3633, 15005, 630, 6795, 279, 269, 6795, 737, 321, 994, 2750, 1815, 5737, 9730, 6355, 454, 7468, 10675, 16840, 685, 6355, 454, 302, 1537, 12226, 547, 5999, 454, 7468, 10675, 16840, 685, 6355, 454, 2750, 1815, 5737, 9730, 6355, 454, 21609, 8081, 543, 28787, 338, 543, 9796, 906, 630, 300, 529, 3250, 10389, 2549, 754, 906, 543, 7827, 547, 519, 29358, 2549, 870, 540, 700, 6636, 264, 22769, 630, 301, 4899, 8581, 264, 476, 1001, 274, 454, 16031, 15966, 9476, 1633, 630, 763, 10579, 585, 4317, 4886, 2567, 594, 1917, 547, 1847, 454, 6546, 519, 4132, 8081, 543, 28787, 338, 543, 9796, 906, 630, 300, 529, 3250, 10389, 2549, 754, 906, 543, 7827, 547, 519, 29358, 2549, 870, 540, 700, 6636, 264, 22769, 630, 301, 4899, 8581, 264, 476, 1001, 274, 581, 9516, 563, 763, 6042, 616, 1500, 896, 519, 4132, 8081, 630, 301, 4899, 8581, 264, 11352, 476, 1960, 272, 543, 519, 4317, 8232, 10029, 630, 301, 4899, 8581, 264, 2920, 476, 1960, 273, 269, 634, 6042, 1118, 3702, 1113, 22853, 547, 1585, 29071, 16109, 689, 519, 2333, 547, 519, 6366, 2557, 540, 1126, 1489, 5826, 689, 11278, 276, 547, 11278, 278, 269, 634, 6042, 849, 1118, 513, 1297, 540, 22853, 11341, 547, 519, 3652, 585, 519, 9819, 540, 1126, 1489, 1292, 1084, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 2634, 267, 538, 2490, 4543, 609, 1445, 543, 5834, 269, 22165, 3107, 2553, 1282, 10649, 2259, 666, 849, 948, 538, 4227, 4160, 543, 15725, 7099, 563, 1692, 18639, 3718, 585, 15706, 609, 20150, 454, 312, 7541, 2488, 606, 1604, 1141, 2043, 593, 519, 8552, 666, 1745, 6462, 267, 1510, 1373, 2604, 323, 547, 2170, 609, 824, 1004, 269, 898, 568, 513, 1106, 540, 16351, 3797, 585, 10295, 799, 18252, 1582, 23343, 2719, 2553, 2059, 609, 1582, 18221, 267, 543, 1582, 15065, 13501, 269, 19893, 666, 3356, 593, 741, 1378, 10605, 267, 1510, 4250, 540, 5821, 610, 10385, 269, 4746, 267, 10649, 666, 581, 19658, 676, 10444, 2609, 547, 13918, 930, 1453, 5889, 23717, 338, 8417, 547, 1769, 267, 3280, 267, 5905, 267, 543, 3350, 563, 24523, 10657, 585, 20150, 454, 24523, 666, 581, 513, 3532, 1907, 585, 2792, 543, 11005, 267, 1818, 2575, 3797, 606, 5140, 3903, 585, 2043, 609, 10295, 269, 634, 24754, 543, 25695, 3601, 540, 2575, 666, 9797, 1764, 2792, 543, 8965, 1983, 538, 1453, 609, 10295, 269, 4340, 547, 519, 1977, 8535, 10657, 5948, 267, 2575, 3797, 666, 12882, 11366, 391, 506, 325, 659, 4106, 622, 2792, 267, 7099, 267, 543, 2623, 267, 849, 3850, 585, 3929, 4082, 543, 5179, 5578, 1646, 5889, 23717, 563, 763, 11588, 540, 8535, 10657, 454, 24523, 666, 723, 513, 22196, 1198, 267, 799, 666, 3895, 1582, 30625, 543, 10444, 5610, 269, 8535, 3797, 7886, 666, 2087, 5386, 543, 14407, 5179, 1983, 267, 5042, 1646, 267, 1514, 1983, 267, 543, 2792, 269, 898, 568, 513, 11684, 3797, 602, 666, 581, 16419, 267, 1759, 593, 1367, 1719, 543, 2702, 269, 8535, 3797, 13408, 540, 513, 3099, 540, 2238, 267, 971, 607, 13465, 267, 4730, 7574, 7405, 267, 1603, 2575, 267, 610, 15472, 563, 1692, 8535, 10657, 3718, 585, 15706, 609, 20150, 454, 24523, 3797, 666, 581, 1031, 547, 2087, 519, 23462, 543, 2792, 1983, 538, 2043, 593, 519, 8552, 269, 901, 3797, 1522, 1331, 1895, 7886, 267, 5473, 13465, 610, 4730, 7405, 1927, 267, 610, 1367, 7886, 16419, 547, 519, 1367, 779, 13283, 269, 8535, 3797, 568, 1419, 6035, 7258, 824, 3029, 540, 3797, 547, 3035, 519, 5551, 4093, 269, 8535, 16293, 666, 960, 267, 1927, 609, 2126, 6887, 610, 3885, 267, 547, 1020, 543, 2936, 513, 2126, 1544, 3358, 547, 519, 1367, 5889, 23717, 338, 2115, 563, 19119, 540, 1234, 920, 1049, 10657, 585, 20150, 454, 3725, 920, 1049, 3797, 666, 1683, 1896, 2640, 585, 2043, 609, 10295, 8552, 4524, 269, 3371, 616, 930, 540, 519, 1034, 8037, 2640, 912, 272, 269, 20865, 8447, 2657, 454, 3725, 920, 1049, 3797, 666, 948, 2043, 609, 10295, 2087, 741, 2168, 1072, 998, 2168, 2238, 269, 6270, 2238, 666, 1331, 3756, 267, 5026, 267, 543, 5751, 602, 616, 3358, 547, 741, 2115, 543, 4690, 269, 8447, 2238, 666, 849, 948, 873, 2087, 741, 11558, 267, 3666, 267, 543, 26176, 2088, 563, 273, 269, 24046, 4317, 10341, 454, 3725, 920, 1049, 3797, 2488, 3255, 585, 2043, 609, 10295, 547, 4497, 538, 1514, 2238, 269, 1452, 2238, 666, 948, 873, 2087, 741, 1514, 1983, 267, 971, 607, 2792, 267, 9316, 267, 543, 16542, 269, 3414, 16351, 3797, 267, 789, 666, 849, 1265, 3255, 547, 1118, 2828, 543, 1628, 3347, 609, 1866, 563, 19931, 1234, 920, 1049, 10657, 22604, 585, 20150, 454, 2467, 616, 1896, 2500, 4485, 547, 16351, 3797, 585, 10295, 602, 723, 1044, 4857, 676, 3173, 543, 4648, 269, 3371, 616, 930, 540, 519, 1034, 2442, 543, 2500, 4485, 912, 272, 269, 11576, 800, 16949, 10657, 454, 1607, 1935, 6212, 593, 5355, 519, 1367, 779, 2702, 547, 1184, 10444, 1344, 269, 11576, 800, 5610, 3797, 568, 1759, 593, 519, 2856, 602, 2043, 609, 10295, 723, 7411, 4393, 10444, 1344, 267, 799, 666, 1291, 547, 10444, 20358, 610, 10444, 21084, 563, 273, 269, 7591, 10657, 454, 1607, 1935, 3322, 1210, 1404, 607, 513, 1797, 540, 2792, 543, 1514, 5872, 269, 7591, 3797, 666, 948, 2087, 2792, 1983, 267, 23462, 267, 543, 3929, 7939, 269, 7591, 3797, 666, 849, 581, 3358, 547, 519, 1367, 779, 4690, 543, 2115, 267, 1818, 621, 513, 3810, 2500, 543, 2502, 9354, 1935, 563, 3725, 920, 1049, 10657, 585, 20150, 281, 32279, 18542, 5999, 454, 3725, 920, 1049, 3797, 568, 513, 1826, 540, 3797, 602, 3322, 1210, 16351, 2238, 547, 2087, 1514, 543, 5042, 1983, 585, 2043, 609, 10295, 563, 272, 269, 1548, 568, 16351, 3797, 585, 10295, 888, 3725, 920, 1049, 3797, 568, 513, 1826, 540, 3797, 602, 3096, 16351, 2238, 547, 2087, 1514, 543, 5042, 1983, 585, 2043, 609, 10295, 563, 273, 269, 1548, 616, 930, 1806, 540, 16351, 2238, 1031, 538, 3797, 888, 14300, 540, 16351, 2238, 1031, 538, 3797, 616, 5026, 267, 6575, 543, 13492, 267, 2575, 267, 12416, 267, 543, 9205, 2238, 563, 274, 269, 1215, 1281, 16351, 3797, 4324, 2043, 609, 10295, 888, 3725, 920, 1049, 3797, 2640, 2043, 609, 10295, 676, 5355, 741, 1514, 1983, 267, 5042, 1983, 267, 1582, 12635, 267, 543, 2949, 2298, 540, 1272, 563, 275, 269, 2052, 16351, 3797, 581, 1031, 607, 513, 6852, 2126, 585, 10295, 888, 5591, 267, 16351, 3797, 1058, 581, 1031, 538, 4999, 609, 824, 5574, 971, 607, 8965, 3797, 267, 4633, 3797, 267, 543, 17163, 3797, 563, 276, 269, 1215, 1279, 1058, 606, 1367, 7119, 538, 16351, 3797, 888, 763, 8653, 540, 3797, 9775, 4470, 593, 519, 1367, 779, 2115, 543, 3356, 269, 898, 568, 1271, 547, 1865, 713, 609, 519, 13309, 547, 3313, 519, 3617, 3259, 540, 3797, 563, 277, 269, 2052, 1920, 2818, 7119, 538, 16351, 3797, 7886, 888, 8133, 267, 1920, 2818, 666, 7119, 538, 930, 16351, 3797, 7886, 547, 1683, 1489, 543, 5000, 519, 1367, 779, 3356, 563, 278, 269, 3657, 972, 1022, 4220, 610, 1761, 2427, 2360, 540, 16351, 3797, 888, 2467, 616, 3622, 1100, 4220, 610, 1761, 2427, 2360, 540, 16351, 3797, 267, 855, 621, 568, 1271, 547, 1865, 1022, 4145, 609, 519, 13309, 1354, 4098, 2126, 563, 279, 269, 2052, 16351, 3797, 581, 2944, 693, 1753, 888, 8133, 267, 930, 16351, 3797, 2238, 666, 581, 2944, 693, 1753, 609, 1697, 5583, 543, 15569, 689, 513, 13309, 563, 280, 269, 1215, 666, 594, 1265, 513, 16351, 13309, 585, 1250, 1126, 609, 10295, 888, 2791, 666, 2307, 585, 3277, 23552, 689, 707, 1126, 779, 12963, 1014, 610, 13309, 267, 610, 3406, 585, 513, 13931, 16351, 13309, 538, 707, 1858, 563, 1015, 269, 1215, 1419, 1058, 1250, 1126, 7390, 16351, 3797, 7886, 888, 763, 4908, 540, 3797, 7886, 5673, 593, 519, 1367, 779, 2115, 543, 3356, 269, 898, 568, 1271, 547, 1865, 713, 609, 519, 13309, 547, 3313, 519, 3617, 4908, 540, 3797, 563, 1556, 269, 3657, 972, 1022, 2085, 4170, 585, 16351, 3797, 888, 5591, 267, 16351, 3797, 568, 2139, 585, 2043, 540, 782, 6502, 563, 1321, 269, 2052, 16351, 3797, 581, 4988, 676, 6142, 888, 2005, 5673, 593, 519, 1367, 779, 6142, 1544, 543, 3795, 269, 898, 568, 1271, 547, 2638, 609, 519, 6142, 8502, 1354, 4098, 2126, 563, 1724, 269, 1548, 20340, 1058, 513, 16351, 13309, 723, 888, 3725, 920, 1049, 16293, 1058, 723, 513, 20277, 779, 610, 4487, 779, 4110, 538, 16351, 3797, 610, 513, 1644, 2361, 543, 1058, 581, 13931, 538, 741, 1533, 563, 1691, 269, 1215, 16419, 616, 519, 2238, 585, 1142, 1367, 888, 3725, 920, 1049, 3797, 2238, 616, 16419, 1759, 593, 1142, 1367, 779, 2115, 543, 3356, 563, 1428, 269, 1548, 616, 930, 4191, 602, 16351, 3797, 568, 2324, 888, 29819, 602, 16351, 3797, 568, 2324, 1331, 4824, 1514, 543, 5042, 1983, 267, 2799, 1582, 12635, 267, 543, 606, 2949, 4824, 2298, 540, 1272, 563, 1626, 269, 2052, 16351, 3797, 948, 609, 10444, 4393, 2152, 888, 8133, 267, 930, 16351, 3797, 2238, 666, 948, 609, 10444, 4393, 2152, 563, 1704, 269, 1215, 1279, 1281, 621, 1491, 547, 1294, 2164, 689, 16351, 3797, 888, 763, 8653, 540, 3797, 9775, 4470, 593, 519, 1367, 779, 2115, 543, 3356, 269, 898, 568, 1271, 547, 1865, 713, 609, 519, 13309, 547, 3313, 519, 3617, 3259, 540, 3797, 543, 4397, 2164, 563, 1240, 269, 1548, 1058, 594, 798, 952, 1250, 1126, 568, 711, 11981, 16351, 3797, 888, 2005, 568, 1271, 547, 5968, 609, 519, 13309, 543, 2119, 547, 2697, 519, 2601, 585, 707, 1126, 779, 3668, 540, 18399, 269, 634, 13309, 949, 581, 2111, 547, 1118, 11941, 610, 1683, 4244, 2238, 563, 866, 269, 1548, 1058, 1250, 1126, 5957, 547, 16351, 3797, 7886, 888, 4467, 13025, 7802, 543, 6806, 3562, 539, 10887, 616, 5227, 585, 16351, 3797, 7886, 563, 736, 269, 3657, 972, 1022, 23944, 28987, 585, 10283, 538, 16351, 3797, 888, 5591, 267, 972, 616, 3622, 1100, 23944, 28987, 585, 10283, 538, 16351, 3797, 563, 2641, 269, 2052, 16351, 3797, 581, 2944, 538, 513, 1895, 4259, 888, 8133, 267, 16351, 3797, 666, 581, 2944, 538, 2901, 606, 1367, 610, 1895, 4259, 563, 2420, 269, 1548, 568, 519, 1909, 540, 519, 16351, 13309, 888, 763, 16351, 13309, 568, 3743, 585, 2870, 16419, 3797, 4566, 267, 8939, 3617, 2238, 267, 543, 5464, 3356, 543, 2623, 1282, 3797, 7886, 563, 2537, 269, 2052, 16351, 3797, 948, 609, 2792, 1983, 888, 8133, 267, 930, 16351, 3797, 2238, 666, 948, 2087, 2792, 1983, 563, 2190, 269, 1548, 952, 1250, 1126, 814, 824, 2564, 610, 8965, 2175, 888, 763, 13309, 1058, 581, 1500, 3222, 540, 1022, 824, 2564, 610, 8965, 2175, 1354, 4098, 16351, 3797, 547, 2327, 602, 621, 568, 2922, 543, 3617, 563, 1839, 269, 1772, 16351, 3797, 1152, 585, 2043, 609, 10295, 888, 3725, 920, 1049, 3797, 568, 711, 1152, 585, 2043, 609, 10295, 543, 666, 581, 1031, 585, 2043, 609, 824, 5042, 267, 11095, 267, 610, 2168, 9124, 563, 2252, 596, 616, 3168, 585, 1344, 827, 16351, 3797, 585, 10295, 267, 2638, 856, 713, 13181, 2376, 593, 16351, 3797, 585, 10295, 563, 18794, 721, 1586, 267, 9877, 24153, 454, 2171, 4126, 596, 10150, 2542, 827, 519, 16351, 3797, 585, 10295, 269, 1284, 3494, 602, 1169, 1126, 1058, 723, 1569, 547, 519, 3797, 602, 10607, 741, 2298, 540, 1272, 269, 1284, 4126, 602, 596, 723, 513, 1732, 1620, 540, 875, 621, 666, 9797, 1764, 741, 1646, 267, 543, 649, 5000, 596, 547, 2015, 621, 585, 707, 6068, 3283, 269, 11289, 596, 585, 2921, 519, 942, 547, 1224, 713, 2376, 269, 7490, 3643, 721, 1586, 4166, 585, 811, 4930, 899, 713, 835, 269, 5620, 513, 9735, 1554, 256, 0, 763, 18888, 540, 19884, 7827, 568, 513, 2203, 602, 14592, 519, 5933, 602, 2043, 979, 998, 950, 1818, 513, 2623, 1689, 269, 634, 2203, 729, 1101, 6069, 676, 16895, 6276, 1160, 577, 10939, 543, 30408, 4144, 290, 2211, 324, 538, 519, 476, 2735, 271, 338, 543, 814, 1044, 4922, 1031, 538, 519, 2361, 540, 6530, 543, 2623, 1689, 563, 763, 2203, 5161, 540, 3670, 5933, 912, 7093, 9762, 6374, 566, 281, 2311, 713, 3942, 267, 2043, 616, 711, 2943, 6236, 1818, 513, 1689, 547, 741, 2623, 269, 1358, 949, 581, 23387, 540, 519, 1966, 610, 711, 1294, 621, 607, 513, 10862, 563, 6944, 6374, 566, 281, 769, 713, 3942, 267, 2043, 616, 6236, 1818, 513, 1689, 855, 949, 1745, 5605, 20884, 610, 7334, 827, 2436, 610, 711, 547, 798, 865, 563, 27609, 566, 281, 769, 519, 7041, 3942, 267, 2043, 723, 1500, 513, 3375, 547, 1689, 741, 2623, 543, 616, 2921, 3355, 3268, 547, 798, 865, 269, 1358, 949, 581, 15388, 2200, 267, 5275, 1489, 267, 610, 4259, 3853, 563, 288, 794, 281, 4438, 713, 3942, 267, 2043, 616, 8362, 4657, 741, 2623, 543, 1818, 1808, 3646, 547, 2226, 519, 1689, 563, 14611, 5199, 281, 769, 519, 5826, 3942, 267, 2043, 723, 6707, 4957, 741, 2623, 543, 616, 2324, 547, 2844, 519, 1689, 936, 942, 563, 28350, 1588, 281, 769, 519, 26694, 3942, 267, 519, 2623, 1689, 814, 1831, 513, 851, 540, 519, 1367, 781, 6197, 267, 543, 789, 1100, 3476, 1745, 519, 991, 547, 8362, 960, 593, 4509, 621, 563, 2005, 781, 1271, 547, 4063, 602, 519, 4783, 540, 8965, 1689, 568, 711, 2141, 5276, 269, 15706, 949, 1847, 1394, 543, 8521, 1063, 519, 5933, 267, 543, 949, 1995, 22303, 610, 882, 22663, 269, 1717, 267, 676, 1620, 519, 5933, 540, 2623, 1689, 267, 2043, 666, 1732, 5965, 2933, 585, 519, 2591, 602, 949, 8451, 543, 1491, 14942, 3268, 547, 2226, 741, 3356, 269, 0, 26139, 560, 3679, 17406, 267, 29463, 543, 2404, 2589, 971, 607, 26533, 649, 723, 930, 3536, 593, 938, 2427, 267, 2808, 5827, 540, 9243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 29130, 29100, 719, 593, 519, 6456, 4494, 540, 519, 8849, 3060, 563, 258, 5457, 281, 29100, 719, 1058, 1152, 581, 5189, 1282, 2866, 267, 711, 6268, 2676, 258, 6382, 707, 6268, 2164, 1131, 581, 32094, 607, 1134, 563, 258, 32150, 23044, 2488, 2387, 25699, 6155, 1886, 719, 13237, 585, 602, 267, 855, 596, 723, 547, 1118, 2386, 621, 781, 1152, 17332, 1282, 2866, 563, 258, 1548, 4523, 547, 938, 3665, 936, 7257, 1154, 2013, 2496, 258, 13127, 506, 357, 421, 504, 494, 420, 17302, 31271, 480, 19764, 499, 24662, 291, 1886, 719, 454, 258, 476, 9463, 359, 420, 25693, 21928, 18777, 511, 14756, 481, 28793, 291, 1886, 719, 8147, 21251, 420, 25693, 21928, 13644, 482, 25263, 364, 28793, 291, 1886, 719, 12486, 12571, 355, 10254, 503, 8147, 13644, 482, 25263, 364, 14756, 497, 31563, 18263, 509, 16533, 484, 15159, 421, 504, 493, 10951, 374, 7511, 7531, 5814, 21723, 6503, 607, 23686, 454, 5228, 1239, 22873, 1104, 4578, 22873, 454, 5814, 11885, 607, 5286, 692, 11907, 815, 4578, 22873, 10797, 692, 321, 2255, 15481, 815, 476, 12553, 454, 327, 5200, 272, 318, 28493, 815, 476, 9083, 275, 7531, 18141, 318, 22238, 815, 476, 271, 269, 276, 692, 30221, 5091, 21648, 564, 267, 5721, 9078, 629, 1564, 267, 4570, 5091, 21648, 564, 267, 4570, 9078, 629, 1564, 267, 1449, 5091, 21648, 564, 267, 1449, 9078, 629, 1564, 815, 1239, 10947, 10574, 13729, 10797, 30221, 5091, 21648, 564, 815, 5721, 5091, 21648, 564, 11468, 4335, 271, 2639, 30221, 9078, 629, 1564, 815, 5721, 9078, 629, 1564, 11468, 4335, 271, 6540, 454, 3698, 3049, 3453, 5560, 21648, 564, 2187, 825, 554, 272, 815, 23686, 8542, 333, 18622, 1663, 6025, 325, 269, 3901, 332, 592, 5560, 21648, 564, 267, 12035, 272, 264, 1341, 12886, 272, 994, 825, 2132, 23686, 269, 3901, 332, 592, 22607, 272, 267, 12035, 273, 264, 1341, 12886, 273, 7531, 3698, 3049, 3453, 17840, 719, 5560, 21648, 564, 2187, 825, 554, 272, 815, 23686, 8542, 333, 18622, 1663, 6025, 325, 269, 3901, 332, 592, 5560, 21648, 564, 267, 12035, 272, 264, 1341, 12886, 272, 994, 825, 546, 272, 815, 23686, 8542, 333, 6155, 1886, 719, 22607, 272, 267, 1832, 318, 22238, 994, 825, 2132, 23686, 269, 3901, 332, 592, 5560, 272, 267, 12035, 273, 264, 1341, 12886, 273, 692, 3698, 6111, 9638, 9438, 687, 267, 10297, 2187, 825, 2132, 630, 1911, 269, 271, 2608, 5286, 27904, 18828, 27769, 10946, 9638, 9438, 687, 267, 476, 272, 264, 2652, 5286, 27769, 10946, 10857, 629, 1564, 267, 476, 272, 4917, 2018, 1315, 11236, 17482, 314, 271, 20285, 7531, 23054, 815, 23686, 14371, 1429, 4590, 5976, 3113, 269, 553, 318, 29239, 10031, 825, 1948, 18452, 1239, 269, 1280, 519, 2866, 1239, 267, 649, 946, 513, 1747, 14516, 602, 786, 581, 10480, 454, 825, 1948, 693, 2196, 942, 609, 513, 2866, 1295, 756, 2255, 563, 825, 1948, 476, 27447, 24662, 12255, 29004, 362, 454, 825, 23686, 17601, 5091, 21648, 564, 815, 23686, 269, 2897, 14516, 6025, 325, 269, 15615, 3953, 2676, 14030, 8587, 3337, 14352, 321, 2255, 15481, 267, 1239, 269, 13548, 15481, 2608, 1239, 269, 13548, 15481, 4917, 825, 23686, 17601, 9078, 629, 1564, 815, 23686, 269, 2897, 14516, 6025, 325, 269, 15615, 3953, 267, 3337, 14352, 321, 2255, 15481, 267, 1239, 8542, 636, 9078, 629, 1564, 4917, 825, 23686, 318, 20777, 5091, 21648, 564, 815, 23686, 269, 6247, 656, 263, 20777, 5091, 21648, 564, 994, 825, 23686, 15305, 5091, 21648, 564, 815, 23686, 269, 6247, 656, 6025, 652, 5091, 21648, 564, 2020, 825, 1948, 25159, 563, 825, 12035, 272, 815, 23686, 17679, 926, 762, 18692, 1038, 23686, 6745, 14725, 322, 730, 5332, 5436, 8443, 11907, 269, 13548, 15481, 2608, 1239, 269, 13548, 15481, 267, 6456, 272, 318, 28493, 28413, 825, 12886, 272, 815, 23686, 17679, 926, 762, 6025, 325, 25910, 8443, 327, 5200, 272, 318, 28493, 8079, 2020, 692, 825, 12035, 273, 815, 23686, 17679, 926, 762, 18692, 1038, 23686, 6745, 14725, 322, 730, 5332, 5436, 8443, 327, 5200, 272, 318, 28493, 267, 1239, 8542, 636, 9078, 629, 1564, 28413, 825, 12886, 273, 815, 23686, 17679, 926, 762, 6025, 325, 25910, 8443, 11907, 8542, 636, 9078, 629, 1564, 8079, 2020, 825, 1948, 9751, 19106, 563, 825, 2845, 1080, 815, 3049, 3453, 17840, 719, 6025, 325, 17601, 5091, 21648, 564, 9239, 825, 2530, 815, 23686, 18622, 706, 576, 318, 11743, 18692, 1038, 23686, 8542, 333, 269, 7809, 10946, 6831, 1484, 318, 550, 16552, 318, 5976, 318, 8421, 1080, 10857, 629, 1564, 284, 339, 325, 17601, 9078, 629, 1564, 267, 2845, 1080, 284, 8421, 1080, 4917, 825, 1948, 700, 273, 2834, 1436, 454, 825, 12498, 815, 476, 271, 269, 9826, 454, 825, 2530, 6834, 12498, 2608, 630, 339, 325, 8542, 333, 7456, 273, 9078, 1601, 263, 30135, 272, 264, 1341, 23686, 8542, 333, 7456, 273, 9078, 1601, 263, 30135, 273, 264, 9239, 825, 1948, 19630, 6500, 563, 825, 5688, 6500, 815, 23686, 6745, 1778, 14371, 2784, 1304, 5327, 1417, 18893, 574, 6500, 263, 271, 269, 276, 1040, 2381, 4476, 10857, 1601, 2020, 825, 1948, 21023, 687, 585, 519, 2866, 267, 15418, 267, 543, 1449, 1239, 563, 825, 5721, 28177, 2109, 815, 23686, 8542, 333, 269, 7809, 10946, 263, 8421, 1080, 994, 825, 4570, 28177, 2109, 815, 23686, 8542, 333, 269, 7809, 10946, 6600, 3975, 3453, 6025, 325, 318, 20777, 5091, 21648, 564, 4917, 825, 1449, 28177, 2109, 815, 23686, 8542, 333, 269, 7809, 10946, 6600, 3975, 3453, 6025, 325, 15305, 5091, 21648, 564, 264, 9239, 11133, 14067, 10134, 815, 476, 4968, 272, 692, 5976, 23686, 2529, 11970, 14116, 1429, 284, 23054, 264, 607, 8400, 912, 825, 23686, 3052, 331, 2128, 318, 19702, 1963, 318, 30976, 6500, 14061, 14725, 4590, 825, 1820, 2891, 22873, 658, 1242, 5602, 825, 585, 1900, 538, 2039, 16325, 14067, 10134, 2187, 1038, 1948, 17292, 606, 15558, 1369, 519, 2866, 1239, 267, 799, 814, 1044, 19747, 563, 1038, 1948, 8074, 281, 649, 1223, 946, 1732, 4351, 1436, 2066, 22184, 338, 563, 1038, 1948, 13127, 506, 357, 18777, 511, 14756, 481, 12255, 29004, 362, 18809, 20881, 487, 418, 489, 358, 22047, 26266, 366, 420, 351, 360, 421, 504, 493, 10951, 374, 25060, 500, 7511, 417, 479, 493, 26175, 375, 19404, 493, 454, 1038, 1948, 476, 23746, 23284, 12916, 379, 17958, 418, 505, 368, 417, 354, 377, 7511, 421, 504, 493, 10951, 374, 25060, 500, 454, 1038, 15558, 815, 630, 21163, 2608, 16801, 15481, 264, 4939, 630, 30221, 9078, 629, 1564, 17482, 314, 271, 316, 910, 16801, 15481, 994, 1038, 1948, 2637, 4733, 513, 1295, 756, 2255, 563, 1038, 1948, 13127, 364, 493, 19867, 373, 19404, 493, 454, 1038, 16801, 12774, 815, 5721, 5091, 21648, 564, 314, 4752, 3553, 281, 263, 4752, 3553, 1341, 16801, 15481, 1070, 2433, 2639, 1038, 16801, 9078, 629, 1564, 815, 5721, 9078, 629, 1564, 314, 4752, 3553, 281, 263, 4752, 3553, 1341, 16801, 15481, 1070, 2433, 2639, 1038, 1948, 16259, 513, 8675, 10213, 519, 8400, 1141, 547, 3049, 519, 1295, 756, 2255, 563, 1038, 1948, 634, 1883, 540, 519, 8675, 568, 519, 1747, 14516, 6843, 540, 519, 3113, 547, 581, 10480, 2676, 1038, 1948, 543, 519, 1871, 568, 519, 11885, 5044, 547, 3049, 547, 621, 563, 1038, 1948, 476, 27447, 24662, 15159, 21211, 10429, 372, 14756, 497, 22909, 482, 7511, 12255, 29004, 362, 454, 1038, 3049, 18380, 815, 2715, 339, 325, 17601, 5091, 21648, 564, 281, 16801, 12774, 267, 23686, 17601, 9078, 629, 1564, 281, 16801, 9078, 629, 1564, 8679, 1038, 9041, 267, 561, 267, 11236, 815, 8400, 269, 14725, 18692, 2018, 1496, 9953, 574, 6500, 267, 2530, 267, 5721, 28177, 2109, 3910, 3049, 18380, 284, 12890, 18380, 994, 1038, 952, 630, 21163, 4939, 476, 4335, 2652, 476, 271, 2187, 2018, 1820, 2891, 14737, 756, 2255, 2530, 693, 1900, 4939, 323, 281, 4939, 325, 257, 4939, 630, 21163, 267, 561, 4917, 2018, 1820, 2891, 14737, 756, 2255, 6111, 281, 4939, 269, 272, 325, 260, 260, 257, 4939, 6111, 9638, 9438, 687, 267, 16801, 9078, 629, 1564, 4917, 2018, 1820, 2891, 11749, 9179, 6111, 281, 4939, 269, 272, 325, 260, 260, 257, 4939, 6111, 18692, 3546, 4570, 28177, 2109, 4318, 1998, 19572, 4570, 9078, 629, 1564, 4917, 825, 1820, 2891, 14818, 6111, 281, 4939, 269, 272, 325, 260, 260, 257, 4939, 6111, 6025, 652, 28177, 2109, 4318, 1998, 19572, 1449, 9078, 629, 1564, 264, 9239, 258, 1832, 318, 22238, 815, 476, 271, 269, 273, 454, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 271, 281, 476, 10482, 272, 269, 4366, 278, 276, 5392, 454, 258, 3687, 756, 2255, 6111, 281, 476, 1556, 269, 278, 14999, 258, 4406, 9179, 6111, 281, 476, 2764, 269, 273, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 4335, 281, 476, 17168, 269, 4366, 279, 6812, 277, 454, 258, 3687, 756, 2255, 6111, 281, 476, 7830, 269, 276, 14999, 258, 4406, 9179, 6111, 281, 476, 4281, 269, 280, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 1911, 271, 281, 476, 14690, 269, 9083, 25784, 454, 258, 3687, 756, 2255, 6111, 281, 476, 6924, 269, 279, 14999, 258, 4406, 9179, 6111, 281, 476, 6507, 269, 277, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 5611, 271, 281, 476, 10441, 269, 22650, 27038, 454, 258, 3687, 756, 2255, 6111, 281, 476, 6858, 269, 273, 14999, 258, 4406, 9179, 6111, 281, 476, 10463, 269, 273, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 1220, 271, 281, 476, 7597, 269, 4281, 279, 275, 4037, 454, 258, 3687, 756, 2255, 6111, 281, 476, 7597, 269, 276, 14999, 258, 4406, 9179, 6111, 281, 476, 4037, 269, 274, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 7742, 271, 281, 476, 5379, 269, 13932, 22650, 454, 258, 3687, 756, 2255, 6111, 281, 476, 10602, 269, 277, 14999, 258, 4406, 9179, 6111, 281, 476, 6507, 269, 280, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 4968, 271, 281, 476, 2190, 269, 271, 5780, 8182, 454, 258, 3687, 756, 2255, 6111, 281, 476, 11025, 269, 279, 14999, 258, 4406, 9179, 6111, 281, 476, 8064, 269, 277, 14999, 258, 4530, 6111, 281, 476, 9262, 269, 271, 260, 19638, 258, 1832, 318, 22238, 815, 476, 271, 269, 276, 454, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 271, 281, 476, 25616, 269, 31404, 3445, 274, 454, 258, 3687, 756, 2255, 6111, 281, 476, 274, 269, 280, 14999, 258, 4406, 9179, 6111, 281, 476, 2918, 269, 276, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 4335, 281, 476, 4198, 269, 30525, 271, 2918, 454, 258, 3687, 756, 2255, 6111, 281, 476, 3445, 269, 277, 14999, 258, 4406, 9179, 6111, 281, 476, 10037, 269, 273, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 1911, 271, 281, 476, 14056, 269, 280, 7761, 277, 2918, 454, 258, 3687, 756, 2255, 6111, 281, 476, 9032, 269, 278, 14999, 258, 4406, 9179, 6111, 281, 476, 10037, 269, 272, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 5611, 271, 281, 476, 10170, 269, 278, 7830, 20862, 454, 258, 3687, 756, 2255, 6111, 281, 476, 4817, 269, 274, 14999, 258, 4406, 9179, 6111, 281, 476, 11025, 269, 273, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 1220, 271, 281, 476, 6246, 269, 275, 2190, 4817, 278, 454, 258, 3687, 756, 2255, 6111, 281, 476, 4817, 269, 274, 14999, 258, 4406, 9179, 6111, 281, 476, 11025, 269, 271, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 7742, 271, 281, 476, 2918, 269, 29900, 31634, 454, 258, 3687, 756, 2255, 6111, 281, 476, 7176, 269, 275, 14999, 258, 4406, 9179, 6111, 281, 476, 11025, 269, 274, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 4968, 271, 281, 476, 1428, 269, 4200, 276, 14138, 454, 258, 3687, 756, 2255, 6111, 281, 476, 7176, 269, 275, 14999, 258, 4406, 9179, 6111, 281, 476, 11025, 269, 277, 14999, 258, 4530, 6111, 281, 476, 3445, 269, 273, 260, 7531, 258, 1832, 318, 22238, 815, 476, 271, 269, 279, 454, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 271, 281, 476, 6924, 280, 269, 7742, 276, 5392, 454, 258, 3687, 756, 2255, 6111, 281, 476, 280, 269, 275, 14999, 258, 4406, 9179, 6111, 281, 476, 3953, 269, 276, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 4335, 281, 476, 4572, 269, 10441, 28307, 454, 258, 3687, 756, 2255, 6111, 281, 476, 11463, 269, 276, 14999, 258, 4406, 9179, 6111, 281, 476, 8064, 269, 280, 14999, 258, 3687, 756, 2255, 2530, 693, 1900, 476, 1911, 271, 281, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 12361, 589, 262, 284, 273, 22773, 630, 476, 273, 1422, 7032, 678, 264, 22773, 700, 12361, 269, 6496, 602, 3100, 9266, 286, 12361, 8607, 12361, 692, 1432, 568, 589, 262, 543, 546, 288, 262, 26042, 290, 4554, 1069, 14525, 1767, 912, 2252, 596, 1793, 527, 519, 12718, 538, 3368, 3259, 3772, 543, 798, 513, 3196, 3666, 593, 835, 540, 519, 30556, 267, 596, 723, 519, 1739, 1384, 18208, 675, 3196, 593, 519, 3368, 12718, 815, 12361, 315, 18773, 623, 630, 273, 12435, 264, 1012, 692, 306, 16577, 3196, 593, 519, 3368, 12718, 815, 12361, 275, 20784, 1012, 692, 301, 823, 692, 3963, 1281, 12718, 723, 547, 581, 834, 14075, 257, 26042, 297, 23167, 822, 328, 1767, 912, 1432, 568, 589, 262, 543, 546, 288, 262, 15017, 1012, 589, 12361, 568, 519, 2627, 1858, 540, 519, 12106, 610, 12718, 269, 12361, 589, 262, 12361, 568, 519, 2627, 1858, 602, 3029, 519, 2627, 8082, 269, 1280, 513, 20085, 17366, 339, 12361, 589, 815, 288, 262, 12361, 267, 855, 585, 513, 12853, 19389, 609, 1079, 7252, 267, 263, 1231, 728, 543, 3544, 1070, 543, 849, 585, 713, 20425, 19389, 602, 814, 1079, 7252, 267, 12361, 589, 262, 284, 273, 589, 12361, 780, 10498, 16317, 3719, 875, 568, 589, 543, 589, 262, 17729, 538, 519, 1482, 4082, 1775, 4318, 538, 546, 310, 815, 623, 273, 910, 623, 272, 815, 1520, 337, 815, 590, 323, 288, 262, 26042, 1012, 546, 308, 284, 306, 22773, 546, 288, 262, 12361, 568, 519, 1761, 1648, 5833, 950, 519, 2627, 1858, 12361, 589, 262, 12361, 568, 2799, 676, 12361, 546, 288, 262, 12361, 269, 11531, 12361, 546, 310, 284, 630, 303, 318, 273, 6261, 318, 272, 264, 288, 22773, 1743, 12361, 568, 519, 960, 2139, 630, 1729, 798, 960, 593, 2810, 519, 2627, 1858, 12361, 589, 262, 12361, 1070, 607, 519, 19389, 568, 9450, 609, 12361, 678, 12361, 2810, 676, 12361, 1743, 12361, 269, 1879, 519, 2175, 616, 971, 602, 891, 1079, 9424, 630, 18528, 5166, 10118, 264, 616, 3160, 267, 596, 786, 723, 11466, 269, 630, 1607, 568, 2147, 547, 4259, 4229, 3160, 267, 1141, 12361, 28363, 10109, 5055, 772, 7807, 11355, 346, 293, 348, 12361, 3092, 12175, 630, 2691, 12361, 546, 310, 3436, 323, 308, 12361, 519, 19389, 786, 3136, 547, 4228, 267, 3092, 1421, 2394, 12361, 546, 310, 284, 323, 308, 12361, 1040, 1012, 8607, 12361, 1411, 1223, 849, 1589, 540, 621, 607, 1373, 513, 1062, 602, 5161, 540, 1079, 20950, 281, 12361, 546, 310, 284, 293, 318, 272, 22773, 1743, 12361, 267, 630, 3602, 12361, 674, 318, 272, 14352, 303, 318, 273, 6261, 318, 272, 264, 288, 12361, 1070, 6257, 835, 5614, 1062, 2813, 676, 519, 4430, 2604, 540, 519, 3154, 3330, 267, 543, 621, 568, 4831, 29446, 676, 1018, 568, 9247, 606, 13412, 1826, 1570, 602, 814, 513, 1761, 1648, 12361, 772, 12361, 602, 1073, 324, 903, 12361, 546, 308, 284, 306, 22773, 546, 288, 262, 12361, 634, 1966, 568, 547, 3666, 891, 1079, 13412, 4229, 269, 12361, 8607, 12361, 7711, 290, 4554, 1069, 14525, 814, 606, 4244, 543, 15931, 1935, 547, 1305, 891, 4229, 3160, 267, 2094, 519, 2627, 8082, 3196, 568, 2731, 693, 1318, 7285, 547, 519, 2604, 3196, 593, 519, 6821, 540, 519, 19389, 780, 8310, 12995, 912, 297, 23167, 822, 328, 454, 1103, 519, 4082, 585, 546, 310, 2073, 589, 1131, 581, 519, 9018, 2627, 1858, 540, 519, 19389, 2073, 519, 835, 602, 568, 6534, 547, 11626, 2604, 1547, 9406, 26042, 297, 23167, 822, 328, 1767, 912, 1103, 519, 4082, 585, 546, 310, 2073, 589, 1131, 581, 519, 9018, 2627, 1858, 540, 519, 19389, 2073, 519, 835, 602, 568, 6534, 547, 11626, 2604, 1547, 9406, 15017, 8133, 780, 297, 23167, 822, 328, 454, 3963, 798, 596, 1589, 519, 12718, 814, 547, 581, 834, 854, 1279, 834, 26042, 297, 23167, 822, 328, 1767, 912, 3963, 798, 596, 1589, 519, 12718, 814, 547, 581, 834, 854, 1279, 834, 15017, 5445, 941, 1175, 3843, 547, 2119, 547, 2057, 519, 2360, 540, 8380, 1439, 8188, 593, 621, 269, 898, 2731, 3085, 1405, 991, 547, 581, 1279, 269, 898, 666, 581, 513, 20425, 19389, 8659, 1063, 1079, 4496, 25923, 607, 7711, 9618, 639, 24128, 2798, 856, 1657, 269, 594, 3858, 609, 1010, 3403, 602, 6382, 267, 513, 20425, 19389, 568, 1360, 19858, 543, 3274, 1281, 711, 2049, 538, 519, 1483, 1158, 269, 769, 1082, 2081, 267, 891, 4834, 1223, 581, 10503, 513, 20425, 630, 13717, 730, 264, 17891, 1498, 267, 865, 621, 666, 581, 26656, 547, 1685, 519, 19106, 607, 621, 949, 723, 824, 1483, 1158, 3156, 269, 630, 763, 8082, 538, 513, 17891, 786, 2333, 609, 2810, 7516, 267, 865, 594, 993, 1152, 1818, 513, 10690, 6476, 1934, 6393, 297, 23167, 822, 328, 454, 296, 4312, 2938, 12853, 18616, 10169, 811, 20425, 982, 713, 543, 3476, 607, 1134, 269, 6182, 5896, 789, 616, 15991, 3501, 26561, 267, 855, 789, 616, 2673, 630, 21955, 1373, 5693, 17031, 593, 519, 7475, 269, 1358, 1810, 1405, 5254, 17751, 602, 1259, 585, 1279, 855, 789, 798, 2291, 780, 2971, 5900, 778, 906, 692, 4037, 269, 276, 22995, 5788, 14358, 281, 476, 280, 8618, 454, 5445, 941, 1175, 3843, 547, 2119, 547, 2057, 519, 2360, 540, 8380, 1439, 8188, 593, 621, 269, 898, 2731, 3085, 1405, 991, 547, 581, 1279, 269, 898, 666, 581, 513, 20425, 19389, 8659, 1063, 1079, 4496, 25923, 607, 7711, 9618, 639, 24128, 2798, 856, 1657, 269, 594, 3858, 609, 1010, 3403, 602, 6382, 267, 513, 20425, 19389, 568, 1360, 19858, 543, 3274, 1281, 711, 2049, 538, 519, 1483, 1158, 269, 769, 1082, 2081, 267, 891, 4834, 1223, 581, 10503, 513, 20425, 630, 13717, 730, 264, 17891, 1498, 267, 865, 621, 666, 581, 26656, 547, 1685, 519, 19106, 607, 621, 949, 723, 824, 1483, 1158, 3156, 269, 630, 763, 8082, 538, 513, 17891, 786, 2333, 609, 2810, 7516, 267, 865, 594, 993, 1152, 1818, 513, 10690, 6476, 1934, 6393, 10498, 16317, 12552, 7711, 28846, 13017, 543, 7711, 290, 4554, 1069, 14525, 16317, 2005, 1223, 849, 581, 4502, 4304, 602, 1934, 649, 616, 1603, 4834, 547, 2119, 547, 4766, 513, 19389, 538, 11466, 610, 2282, 11466, 269, 1306, 7711, 874, 785, 338, 814, 3254, 267, 824, 19389, 3029, 616, 2009, 267, 543, 938, 11466, 4834, 1223, 581, 1434, 4114, 574, 725, 585, 891, 2665, 607, 1134, 780, 1012, 476, 272, 269, 1548, 3123, 519, 4430, 2604, 3330, 513, 12853, 19389, 2496, 763, 4430, 2604, 3330, 513, 12853, 19389, 568, 3361, 676, 519, 2627, 8082, 540, 519, 12853, 344, 1216, 269, 17183, 8082, 568, 519, 3196, 602, 6585, 519, 6675, 540, 513, 5277, 1927, 267, 2870, 513, 834, 338, 7219, 257, 593, 519, 2627, 540, 519, 5277, 269, 769, 519, 2013, 540, 12853, 18616, 267, 519, 2627, 8082, 540, 519, 12853, 344, 1216, 568, 6793, 982, 519, 2604, 3330, 519, 19389, 267, 4929, 621, 547, 12701, 543, 1711, 4430, 2604, 780, 1012, 476, 273, 269, 1215, 1281, 519, 2450, 540, 513, 12853, 19389, 1860, 519, 4430, 2604, 3330, 2496, 763, 2450, 540, 513, 12853, 19389, 2047, 5540, 519, 4430, 2604, 3330, 269, 634, 4130, 519, 19389, 267, 519, 3152, 519, 2604, 269, 901, 568, 1317, 519, 2627, 8082, 3788, 3586, 267, 855, 607, 519, 19389, 4991, 4130, 267, 519, 2627, 1858, 11081, 267, 4929, 519, 2604, 547, 2333, 538, 1931, 547, 2226, 519, 19389, 781, 3337, 780, 1012, 476, 274, 269, 2052, 2242, 538, 2837, 1860, 519, 4430, 2604, 3330, 513, 12853, 19389, 2496, 8133, 267, 2242, 538, 2837, 666, 1860, 519, 4430, 2604, 3330, 513, 12853, 19389, 269, 589, 1689, 538, 2837, 666, 2014, 519, 6675, 538, 519, 12853, 344, 1216, 547, 2901, 1847, 5488, 610, 14887, 267, 19249, 519, 2627, 8082, 543, 4061, 519, 4430, 2604, 3330, 519, 19389, 780, 1012, 476, 275, 269, 4208, 798, 12853, 18616, 5555, 16802, 2496, 3383, 777, 18616, 5555, 16802, 1813, 547, 513, 6175, 538, 4430, 2604, 269, 1306, 519, 19389, 5170, 547, 12701, 267, 519, 2627, 8082, 4617, 839, 267, 543, 519, 4430, 2604, 11081, 269, 4495, 519, 4430, 2604, 568, 1100, 3476, 2178, 2614, 547, 1489, 519, 19389, 781, 3337, 267, 621, 786, 16802, 780, 1012, 476, 276, 269, 1772, 519, 4430, 2604, 3330, 513, 12853, 19389, 2141, 519, 1482, 2496, 5591, 267, 519, 4430, 2604, 3330, 513, 12853, 19389, 568, 711, 2141, 519, 1482, 269, 898, 666, 4268, 4470, 593, 2188, 971, 607, 519, 2450, 540, 519, 19389, 267, 519, 5834, 540, 12853, 538, 519, 1216, 267, 543, 2242, 538, 2837, 269, 1717, 267, 519, 4430, 2604, 786, 2141, 581, 1459, 607, 1279, 607, 519, 19389, 15387, 922, 3337, 780, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 20065, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 273, 454, 21366, 454, 14321, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1839, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 276, 454, 21366, 454, 275, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 1691, 454, 21366, 454, 275, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 272, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 272, 454, 21366, 454, 273, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 274, 454, 21366, 454, 272, 298, 454, 1892, 13823, 2563, 8212, 14581, 6435, 454, 28806, 454, 275, 454, 21366, 454, 279, 4343, 0, 258, 7089, 7869, 543, 15303, 2762, 692, 1012, 1548, 568, 1297, 3069, 2496, 2108, 12385, 24136, 568, 519, 15596, 540, 519, 9443, 543, 1297, 3069, 568, 519, 15596, 540, 6128, 1848, 1107, 2871, 817, 692, 2467, 616, 1906, 1292, 8371, 540, 6986, 6128, 269, 2290, 540, 873, 568, 7089, 3069, 269, 7089, 3069, 568, 5631, 1644, 547, 519, 1353, 540, 9981, 543, 8870, 5829, 3252, 780, 2691, 649, 2911, 827, 2338, 267, 621, 4422, 1394, 547, 3504, 1686, 950, 519, 11937, 4121, 547, 1293, 610, 1185, 519, 2856, 540, 10203, 269, 898, 666, 581, 6444, 607, 519, 22612, 540, 519, 1353, 540, 2338, 269, 769, 519, 2038, 5933, 267, 789, 4769, 1406, 723, 519, 1523, 540, 2338, 267, 855, 519, 2856, 540, 10203, 543, 3818, 13109, 799, 941, 1898, 585, 741, 3232, 6668, 780, 4517, 519, 5013, 540, 513, 1134, 20452, 1297, 1062, 979, 1394, 547, 519, 3504, 12977, 540, 27859, 267, 5527, 267, 3624, 267, 543, 3127, 269, 1656, 519, 1353, 602, 729, 15748, 607, 513, 1505, 540, 10203, 2919, 609, 942, 593, 519, 17525, 540, 1134, 8153, 4223, 11490, 2103, 971, 607, 19456, 23768, 267, 21482, 573, 267, 674, 12938, 543, 1082, 811, 780, 4517, 2413, 6377, 7089, 3069, 3568, 689, 7849, 2338, 547, 1082, 811, 4241, 3981, 1431, 267, 6436, 267, 543, 28756, 999, 263, 8063, 906, 5156, 547, 581, 3020, 267, 855, 10093, 1406, 1044, 9863, 2943, 1040, 634, 1292, 3364, 827, 3621, 5396, 971, 607, 9119, 568, 649, 1810, 1406, 723, 1022, 7182, 269, 1924, 607, 513, 1016, 1532, 13361, 540, 6128, 267, 7089, 3069, 568, 849, 513, 2361, 602, 568, 2479, 21212, 780, 1012, 2368, 4277, 3584, 270, 1492, 1559, 538, 7089, 7869, 692, 2162, 5606, 9548, 1297, 540, 19456, 23768, 2468, 1255, 692, 303, 17233, 23768, 17784, 568, 513, 1305, 540, 476, 274, 2338, 267, 1141, 835, 1297, 779, 4009, 666, 581, 6829, 607, 519, 14805, 566, 540, 519, 10945, 540, 519, 824, 476, 273, 2338, 780, 2750, 32473, 476, 3953, 1341, 476, 5655, 815, 476, 7367, 692, 2691, 596, 1265, 513, 19456, 23768, 17784, 267, 596, 666, 9062, 782, 476, 274, 2338, 689, 513, 2067, 1297, 799, 3947, 596, 1776, 1305, 540, 19456, 23768, 2468, 1255, 780, 3953, 1341, 476, 5655, 815, 476, 7367, 9062, 1312, 5011, 676, 562, 273, 1141, 562, 568, 513, 2067, 1297, 780, 7617, 3947, 596, 630, 274, 333, 264, 273, 1341, 630, 275, 333, 264, 273, 815, 630, 276, 333, 264, 273, 865, 630, 274, 333, 267, 275, 333, 267, 276, 333, 264, 568, 849, 513, 19456, 23768, 17784, 269, 1656, 713, 18327, 972, 616, 28222, 19456, 23768, 2468, 1255, 780, 3719, 602, 3085, 1406, 1611, 1169, 19456, 23768, 17784, 12582, 1406, 581, 538, 713, 1106, 780, 2171, 666, 6961, 602, 513, 1305, 540, 476, 274, 2338, 568, 513, 19456, 23768, 17784, 952, 543, 1152, 952, 519, 2338, 616, 538, 519, 1106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6262, 520, 3418, 534, 7769, 318, 8124, 318, 31435, 5560, 690, 264, 0, 18257, 307, 2532, 476, 272, 5897, 2237, 513, 1599, 1572, 522, 3591, 602, 12799, 12651, 606, 12039, 13286, 9868, 950, 1572, 23228, 3973, 2328, 1776, 1599, 602, 7125, 522, 3591, 3330, 513, 2119, 270, 21955, 1533, 30692, 618, 547, 6952, 519, 5470, 23228, 476, 1548, 4523, 952, 596, 1689, 522, 3591, 547, 6318, 6206, 13286, 3079, 540, 12039, 13286, 286, 18257, 5897, 3698, 522, 3591, 28399, 825, 513, 815, 630, 272, 267, 476, 273, 267, 476, 274, 3418, 825, 1820, 5416, 314, 274, 29573, 258, 334, 3591, 14052, 10310, 2971, 1477, 3698, 522, 3591, 273, 28399, 825, 2119, 6769, 1038, 522, 3591, 31476, 825, 4849, 12039, 13286, 6769, 1038, 1820, 3488, 396, 511, 26580, 16068, 20732, 4138, 16648, 18547, 20298, 825, 6318, 6206, 13286, 1477, 334, 3591, 273, 3890, 0, 258, 307, 2532, 476, 272, 1477, 258, 1477, 258, 8073, 707, 1378, 6388, 540, 513, 3710, 2987, 1599, 26246, 267, 3957, 2387, 5976, 16229, 12452, 799, 3217, 1079, 6724, 6769, 258, 2387, 3438, 762, 319, 543, 2387, 11034, 12452, 9949, 568, 476, 271, 269, 9669, 281, 1294, 519, 12319, 585, 519, 26246, 1599, 5897, 258, 12055, 1807, 7014, 5897, 5035, 609, 16229, 28399, 825, 1219, 6449, 8181, 9191, 1345, 267, 12055, 762, 8029, 1038, 1582, 269, 3438, 762, 815, 12055, 762, 1477, 1038, 1582, 269, 11034, 815, 476, 271, 1477, 825, 1219, 6449, 3438, 9191, 1345, 8029, 1038, 1582, 269, 11034, 815, 476, 271, 1477, 1038, 2132, 1582, 1477, 825, 1219, 6449, 10113, 9191, 1345, 8029, 1038, 952, 1582, 269, 11034, 2999, 7003, 4311, 269, 3438, 762, 8029, 2018, 1267, 815, 1582, 269, 3438, 762, 314, 1345, 269, 11034, 15947, 2018, 1582, 269, 11034, 6834, 476, 272, 1477, 2018, 2132, 1582, 269, 11034, 267, 1267, 1477, 1038, 6318, 17547, 296, 614, 566, 24653, 3438, 1807, 815, 609, 16229, 3488, 6826, 564, 305, 2393, 20298, 1721, 669, 538, 12055, 1807, 6769, 825, 1820, 263, 577, 3418, 0, 12163, 288, 875, 1782, 6305, 568, 513, 6305, 1297, 952, 519, 2040, 540, 922, 9704, 568, 849, 513, 6305, 1297, 780, 2690, 7151, 912, 19152, 281, 13647, 454, 20479, 281, 3020, 630, 13647, 568, 513, 6305, 1297, 267, 476, 272, 266, 272, 266, 274, 284, 276, 568, 849, 513, 6305, 1297, 2020, 19152, 281, 476, 8660, 454, 20479, 281, 3020, 630, 8660, 568, 513, 6305, 1297, 267, 476, 279, 266, 280, 284, 1704, 568, 849, 513, 6305, 1297, 2020, 19152, 281, 476, 866, 3097, 20479, 281, 7301, 630, 866, 568, 513, 6305, 1297, 267, 855, 476, 272, 266, 280, 284, 1015, 568, 711, 513, 6305, 1297, 2020, 2237, 513, 1982, 547, 2638, 952, 519, 3593, 3403, 568, 513, 875, 1782, 6305, 610, 711, 780, 20701, 3698, 6305, 3799, 2187, 825, 952, 562, 10922, 476, 272, 912, 1038, 2132, 8771, 454, 825, 585, 1535, 538, 2039, 263, 273, 19885, 2187, 1038, 952, 562, 4939, 1535, 2652, 476, 271, 912, 2018, 2132, 8771, 454, 825, 3116, 912, 1038, 2132, 6936, 28329, 13872, 3698, 875, 1782, 318, 18905, 3799, 2187, 825, 533, 815, 6305, 3799, 994, 825, 952, 711, 533, 610, 562, 2999, 476, 1556, 912, 1038, 2132, 8771, 454, 825, 952, 533, 912, 1038, 1592, 5332, 815, 11713, 1038, 562, 815, 1193, 3799, 994, 1038, 585, 1775, 538, 562, 912, 2018, 1592, 5332, 6910, 17301, 9217, 4917, 1038, 2698, 815, 2040, 17338, 5332, 994, 1038, 554, 318, 13765, 815, 6305, 6025, 4973, 994, 1038, 952, 554, 318, 13765, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 454, 27030, 27030, 3698, 875, 1782, 318, 2102, 3799, 2187, 825, 585, 1535, 538, 2039, 3799, 2187, 1038, 554, 815, 875, 1782, 318, 18905, 3287, 994, 1038, 952, 554, 912, 2018, 6556, 1535, 454, 1363, 692, 2745, 2891, 13647, 568, 513, 1215, 1782, 11788, 281, 834, 1341, 1193, 263, 6011, 1782, 318, 18905, 263, 13647, 4297, 2020, 2745, 2891, 8660, 568, 513, 1215, 1782, 11788, 281, 834, 1341, 1193, 263, 6011, 1782, 318, 18905, 263, 8660, 4297, 2020, 2745, 2891, 866, 568, 513, 1215, 1782, 11788, 281, 834, 1341, 1193, 263, 6011, 1782, 318, 18905, 263, 866, 4297, 2020, 2745, 2891, 5602, 2745, 2891, 763, 1215, 1782, 2398, 1307, 909, 547, 476, 1220, 616, 281, 15419, 1721, 1535, 538, 875, 1782, 318, 2102, 263, 1220, 2187, 825, 1820, 3287, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3698, 2179, 5091, 580, 1080, 28840, 17107, 825, 5727, 9577, 5431, 2179, 540, 7857, 538, 1297, 780, 825, 1488, 7714, 912, 1038, 1297, 17301, 2567, 9138, 1297, 692, 825, 16849, 912, 1038, 703, 281, 2179, 540, 9704, 538, 1297, 28329, 825, 8173, 8931, 825, 4831, 815, 476, 271, 692, 825, 1247, 1297, 11203, 476, 271, 912, 1038, 4831, 6834, 476, 272, 454, 1038, 1297, 12262, 284, 476, 1015, 692, 825, 2132, 4831, 7531, 3698, 2638, 318, 604, 318, 1301, 17641, 20311, 28840, 17107, 825, 5727, 9577, 11974, 952, 5293, 1297, 568, 6186, 17641, 780, 825, 1488, 7714, 912, 1038, 1297, 17301, 2567, 9138, 1297, 692, 825, 16849, 912, 1038, 536, 944, 281, 17776, 6936, 952, 1297, 568, 6186, 17641, 2676, 23526, 6382, 910, 2132, 8771, 3097, 13872, 825, 8173, 8931, 825, 2040, 815, 476, 271, 692, 825, 1297, 28747, 815, 2179, 5091, 580, 1080, 28840, 994, 825, 1184, 20311, 815, 1297, 22562, 825, 1247, 1184, 20311, 11203, 476, 271, 912, 1038, 2063, 5091, 13424, 815, 1184, 20311, 4939, 476, 1015, 454, 1038, 1840, 815, 2063, 5091, 13424, 2878, 1297, 28747, 454, 1038, 2040, 6834, 1840, 692, 1038, 1184, 20311, 12262, 284, 476, 1015, 692, 825, 568, 318, 1301, 17641, 20311, 815, 2040, 2652, 1297, 692, 825, 2132, 568, 318, 1301, 17641, 20311, 454, 0, 3698, 678, 548, 318, 523, 13892, 263, 13092, 23952, 17107, 825, 8173, 825, 7402, 3941, 5569, 1210, 2196, 27480, 17683, 692, 6635, 7714, 912, 825, 3312, 23952, 630, 1598, 264, 5569, 547, 31391, 692, 14303, 5281, 912, 825, 630, 1598, 264, 23876, 5569, 454, 825, 29185, 825, 23876, 23952, 815, 1412, 7055, 8931, 825, 1699, 318, 30726, 815, 1412, 7055, 8931, 825, 1915, 18045, 815, 476, 271, 692, 825, 585, 1915, 538, 3312, 23952, 912, 1038, 952, 1915, 2652, 1699, 318, 30726, 912, 2018, 1915, 18045, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 952, 476, 1915, 18045, 3436, 476, 272, 912, 3546, 23876, 23952, 6834, 1193, 263, 30726, 18045, 264, 1341, 1699, 318, 30726, 454, 2018, 8640, 1915, 18045, 2652, 272, 912, 4449, 23876, 23952, 6834, 1699, 318, 30726, 692, 2018, 1699, 318, 30726, 815, 1915, 454, 2018, 1915, 18045, 815, 476, 272, 692, 825, 952, 476, 1915, 18045, 3436, 476, 272, 912, 1038, 23876, 23952, 6834, 1193, 263, 30726, 18045, 264, 1341, 1699, 318, 30726, 454, 825, 8640, 1915, 18045, 2652, 272, 912, 1038, 23876, 23952, 6834, 1699, 318, 30726, 692, 825, 2132, 23876, 23952, 7531, 3698, 678, 548, 318, 1372, 13892, 263, 16780, 10757, 23952, 2187, 825, 8173, 825, 5463, 3941, 5569, 1210, 2196, 27480, 29852, 692, 6635, 7714, 912, 825, 23876, 23952, 630, 1598, 264, 5569, 547, 1232, 1712, 692, 14303, 5281, 912, 825, 630, 1598, 264, 1232, 10757, 5569, 454, 825, 29185, 825, 1232, 10757, 23952, 815, 1412, 7055, 825, 1699, 18045, 23952, 815, 15234, 692, 825, 585, 1915, 538, 23876, 23952, 912, 1038, 952, 1915, 18994, 323, 13424, 10031, 2018, 1699, 18045, 23952, 6834, 1915, 454, 1038, 8640, 1699, 18045, 23952, 912, 2018, 1232, 10757, 23952, 6834, 703, 263, 9690, 18045, 23952, 264, 2608, 1915, 454, 2018, 1699, 18045, 23952, 815, 1412, 7055, 1038, 3116, 912, 2018, 1232, 10757, 23952, 6834, 1915, 692, 825, 2132, 1232, 10757, 23952, 454, 672, 692, 8931, 8931, 0, 5228, 10070, 1104, 22388, 5897, 2745, 2891, 11693, 606, 5044, 267, 1265, 519, 703, 602, 5526, 606, 9642, 1297, 540, 2053, 1701, 3418, 2745, 2891, 2467, 786, 2141, 581, 1152, 835, 8870, 602, 5526, 606, 9642, 1297, 540, 2053, 1701, 3418, 2745, 2891, 2710, 621, 538, 476, 274, 1114, 2081, 630, 22056, 513, 5094, 1599, 585, 1142, 3070, 1040, 257, 10142, 3698, 1265, 318, 15957, 20311, 318, 272, 263, 30084, 8029, 825, 5727, 1477, 825, 9577, 1265, 703, 799, 5526, 538, 1599, 9642, 1297, 540, 2053, 23228, 825, 1703, 1058, 581, 1152, 835, 703, 602, 5526, 606, 9642, 1297, 540, 2053, 23228, 825, 21964, 1505, 1293, 31476, 825, 2433, 12407, 1592, 5311, 281, 513, 1592, 540, 703, 338, 1477, 825, 2433, 8873, 281, 703, 799, 5526, 9642, 1297, 540, 2053, 1477, 825, 2433, 337, 6943, 281, 703, 21506, 825, 5727, 5897, 825, 1297, 815, 476, 271, 5897, 825, 585, 1535, 538, 5311, 281, 5897, 1038, 1293, 815, 5311, 29644, 3287, 3418, 1038, 952, 1293, 4939, 476, 273, 11203, 476, 271, 281, 5897, 2018, 1297, 815, 1535, 1477, 2018, 2736, 1477, 24541, 825, 2132, 1297, 24653, 3698, 1265, 318, 15957, 20311, 318, 273, 263, 30084, 8029, 672, 5727, 1477, 825, 9577, 1265, 703, 799, 5526, 538, 1599, 9642, 1297, 540, 2053, 23228, 825, 1703, 1058, 581, 1152, 835, 703, 602, 5526, 606, 9642, 1297, 540, 2053, 23228, 825, 21964, 22388, 1362, 5897, 825, 2433, 12407, 1592, 5311, 281, 513, 1592, 540, 703, 338, 1477, 825, 2433, 8873, 281, 703, 799, 5526, 9642, 1297, 540, 2053, 1477, 825, 2433, 337, 6943, 281, 703, 21506, 825, 5727, 5897, 825, 10917, 815, 22388, 263, 30084, 10142, 825, 2132, 1592, 6025, 11391, 269, 12399, 3890, 25011, 271, 316, 24653, 12528, 17750, 815, 3403, 2891, 11767, 5311, 1210, 5624, 281, 834, 10142, 11133, 1499, 815, 1592, 9852, 777, 17301, 267, 3593, 17750, 21858, 28829, 10142, 2745, 6600, 785, 318, 15957, 20311, 318, 273, 3799, 13246, 17903, 0, 5228, 19472, 318, 2190, 327, 1104, 568, 318, 20777, 318, 2190, 327, 692, 3698, 1292, 10031, 825, 942, 318, 2190, 327, 815, 3403, 3488, 10938, 942, 538, 476, 2190, 327, 3898, 24097, 333, 17210, 825, 952, 711, 568, 318, 20777, 318, 2190, 327, 263, 5503, 318, 2190, 327, 2187, 1038, 1820, 3488, 2254, 4570, 5073, 1038, 2132, 22562, 825, 3108, 815, 703, 263, 5503, 318, 2190, 327, 11468, 273, 7481, 825, 3764, 815, 703, 263, 5503, 318, 2190, 327, 314, 274, 281, 7481, 825, 568, 318, 600, 815, 3108, 10922, 476, 1556, 692, 825, 952, 711, 568, 318, 600, 281, 3108, 20699, 476, 1321, 692, 825, 993, 7272, 332, 23919, 815, 834, 600, 257, 952, 568, 318, 600, 3116, 834, 10975, 4840, 825, 759, 815, 834, 346, 281, 6349, 323, 348, 281, 346, 281, 6349, 323, 348, 2715, 281, 338, 348, 2668, 8971, 22607, 2293, 267, 3764, 267, 993, 7272, 332, 23919, 994, 825, 1820, 263, 637, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 5228, 4351, 1104, 695, 28984, 454, 5228, 4351, 1104, 28219, 842, 7531, 18524, 318, 550, 885, 815, 27835, 3250, 9166, 21029, 3299, 1412, 339, 1905, 9166, 1412, 258, 3299, 1412, 30036, 5501, 9166, 262, 311, 3299, 1412, 16651, 9166, 262, 296, 3299, 1412, 12949, 9166, 262, 22065, 8679, 30036, 5501, 18425, 2091, 318, 3433, 815, 476, 736, 454, 339, 1905, 18425, 2091, 318, 3433, 815, 476, 1015, 454, 10090, 730, 8548, 777, 815, 29129, 454, 3698, 5352, 318, 10420, 3030, 8217, 9852, 777, 5334, 13645, 2187, 825, 8173, 825, 12958, 1592, 540, 3197, 4849, 6345, 538, 4351, 1931, 454, 825, 2433, 12407, 281, 4009, 540, 4786, 454, 825, 2433, 12407, 6943, 281, 703, 454, 825, 2433, 8873, 281, 1592, 540, 3197, 454, 825, 2433, 337, 6943, 281, 4289, 30415, 994, 825, 8173, 825, 16782, 18045, 815, 4786, 5334, 13645, 12262, 14951, 18425, 2091, 318, 3433, 454, 825, 15972, 18045, 815, 4786, 5334, 13645, 12262, 15972, 18425, 2091, 318, 3433, 692, 825, 8900, 318, 3250, 338, 18045, 815, 4786, 5334, 13645, 910, 630, 339, 1905, 18045, 1341, 16782, 18045, 2020, 825, 4786, 6958, 3739, 815, 11713, 825, 4786, 6958, 3739, 269, 2169, 754, 8443, 18524, 318, 550, 885, 9131, 3250, 11172, 585, 1293, 538, 2039, 263, 24105, 318, 3250, 338, 18045, 264, 7481, 825, 4786, 6958, 3739, 269, 2169, 754, 8443, 18524, 318, 550, 885, 9131, 339, 1905, 11172, 585, 1293, 538, 2039, 6025, 1905, 18045, 264, 7481, 825, 4786, 6958, 3739, 269, 2169, 754, 8443, 18524, 318, 550, 885, 9131, 30036, 5501, 11172, 585, 1293, 538, 2039, 6025, 516, 9778, 18045, 13580, 2020, 825, 695, 28984, 9852, 777, 6958, 3739, 2020, 825, 2132, 4786, 6958, 3739, 7531, 3698, 838, 11921, 318, 16651, 9852, 777, 6958, 3739, 267, 14090, 15481, 13448, 2187, 825, 8173, 825, 14477, 12662, 6345, 593, 6383, 4786, 454, 825, 2433, 12407, 281, 6383, 1592, 540, 3197, 910, 4786, 454, 825, 2433, 12407, 6943, 281, 1592, 30415, 994, 825, 2433, 8873, 281, 6345, 838, 11921, 2990, 3097, 825, 2433, 8873, 1826, 281, 630, 842, 267, 842, 994, 825, 8173, 825, 568, 318, 24105, 318, 3250, 815, 8771, 454, 825, 6345, 318, 6570, 815, 476, 271, 22562, 825, 1247, 711, 568, 318, 24105, 318, 3250, 912, 1038, 6345, 318, 6570, 815, 28219, 842, 263, 271, 267, 7003, 9852, 777, 6958, 3739, 264, 910, 476, 272, 994, 1038, 568, 318, 24105, 318, 3250, 815, 4786, 6958, 3739, 314, 16651, 318, 6570, 316, 538, 1496, 18524, 318, 550, 885, 9131, 339, 1905, 28710, 18524, 318, 550, 885, 9131, 30036, 5501, 11172, 6540, 825, 4786, 6958, 3739, 314, 16651, 318, 6570, 316, 815, 3014, 318, 550, 885, 9131, 16651, 262, 6540, 825, 6345, 318, 11034, 318, 6570, 13448, 815, 6345, 318, 6570, 12262, 4786, 15481, 13448, 454, 825, 6345, 318, 11034, 318, 6570, 14729, 815, 6345, 318, 6570, 4939, 4786, 15481, 13448, 692, 825, 2132, 6345, 318, 11034, 318, 6570, 13448, 267, 16651, 318, 11034, 318, 6570, 14729, 454, 672, 692, 3698, 5352, 8548, 777, 9852, 777, 15481, 13448, 267, 14090, 15481, 14729, 2567, 4449, 454, 825, 8173, 825, 21810, 1592, 540, 3197, 547, 5119, 910, 1592, 540, 8638, 454, 825, 2433, 12407, 4786, 15481, 13448, 281, 1297, 540, 9587, 454, 825, 2433, 12407, 4786, 15481, 14729, 281, 1297, 540, 9343, 454, 825, 2433, 12407, 6943, 4786, 15481, 13448, 267, 4786, 15481, 14729, 281, 703, 454, 825, 2433, 8873, 281, 6345, 2990, 3097, 825, 2433, 8873, 1826, 281, 630, 842, 267, 842, 994, 825, 8173, 825, 4786, 5334, 13645, 815, 4786, 15481, 13448, 265, 14090, 15481, 14729, 692, 825, 4786, 318, 10420, 3030, 8217, 815, 5352, 318, 10420, 3030, 8217, 9852, 777, 5334, 13645, 2020, 825, 1376, 29223, 13448, 267, 11034, 29223, 14729, 815, 838, 11921, 318, 16651, 9852, 777, 318, 10420, 3030, 8217, 267, 14090, 15481, 13448, 2020, 825, 6383, 8548, 777, 269, 2169, 754, 8443, 14090, 318, 10420, 3030, 8217, 5157, 265, 14090, 15481, 13448, 281, 263, 328, 266, 272, 12684, 14090, 15481, 13448, 316, 585, 1775, 538, 2039, 9852, 777, 15481, 14729, 13580, 2020, 825, 2132, 1376, 29223, 13448, 267, 11034, 29223, 14729, 692, 3698, 1820, 8548, 777, 10031, 825, 8173, 825, 16493, 4786, 454, 825, 2433, 12407, 6383, 8548, 777, 281, 4786, 540, 3197, 1592, 540, 8638, 454, 825, 2433, 12407, 6943, 6383, 8548, 777, 281, 1592, 17338, 30415, 4917, 825, 2433, 8873, 281, 4986, 454, 825, 2433, 8873, 1826, 281, 7183, 454, 825, 8173, 825, 585, 4737, 538, 6383, 8548, 777, 912, 1038, 1820, 3488, 8339, 21860, 21405, 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 5352, 8548, 777, 263, 1015, 267, 279, 994, 825, 1820, 8548, 777, 10797, 0, 5228, 4351, 1104, 695, 28984, 267, 28219, 842, 692, 5228, 1547, 1372, 14585, 2209, 1104, 13891, 1872, 13356, 528, 1807, 692, 5035, 5426, 24961, 1384, 825, 13138, 4338, 815, 1412, 258, 7055, 825, 570, 3918, 3008, 13543, 815, 1412, 259, 7055, 825, 700, 8379, 3951, 815, 1412, 286, 7055, 825, 17676, 815, 1412, 25692, 825, 623, 6369, 312, 2207, 815, 1412, 303, 7055, 825, 13673, 4932, 312, 815, 1412, 292, 28847, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 15058, 318, 2515, 17107, 1038, 2179, 318, 3250, 338, 815, 2450, 15058, 318, 2515, 2878, 476, 273, 692, 1038, 2179, 4671, 571, 1186, 815, 2179, 318, 3250, 338, 12262, 476, 1015, 454, 1038, 2179, 4671, 516, 9778, 815, 2179, 318, 3250, 338, 12262, 476, 736, 692, 1038, 1377, 6958, 650, 318, 3250, 338, 815, 11713, 1038, 585, 9041, 538, 2039, 263, 26920, 4671, 571, 1186, 2187, 2018, 1377, 6958, 650, 318, 3250, 338, 6910, 4311, 11053, 20370, 2020, 1038, 585, 9041, 538, 2039, 263, 26920, 4671, 516, 9778, 2187, 2018, 1377, 6958, 650, 318, 3250, 338, 6910, 4311, 11053, 3918, 3008, 13543, 2020, 1038, 2179, 6958, 872, 318, 3250, 815, 2179, 318, 3250, 338, 910, 2179, 4671, 571, 1186, 910, 2179, 4671, 516, 9778, 692, 1038, 585, 9041, 538, 2039, 263, 26920, 6958, 872, 318, 3250, 2187, 2018, 1377, 6958, 650, 318, 3250, 338, 6910, 4311, 12171, 12767, 2020, 1038, 695, 28984, 263, 24038, 6958, 650, 318, 3250, 338, 2020, 1038, 1582, 269, 24038, 24624, 815, 1582, 14857, 577, 6064, 8217, 263, 24038, 6958, 650 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 991, 547, 6166, 741, 4527, 543, 917, 1141, 4010, 789, 616, 15720, 269, 1656, 1317, 540, 602, 267, 14791, 568, 513, 1590, 563, 4415, 741, 1507, 2450, 267, 5127, 12961, 1223, 12404, 593, 3592, 4376, 269, 1809, 3226, 267, 789, 899, 547, 3251, 538, 3636, 543, 4158, 5624, 269, 9747, 267, 950, 8524, 532, 513, 1747, 610, 513, 11647, 4062, 585, 741, 4527, 267, 2523, 1413, 883, 1507, 23761, 543, 538, 1532, 564, 933, 839, 269, 1358, 1683, 519, 1034, 20009, 5624, 585, 1346, 1814, 1562, 865, 789, 786, 581, 1034, 2693, 972, 563, 3725, 701, 520, 519, 6184, 18936, 538, 8617, 3955, 1998, 454, 2026, 5018, 4505, 267, 5127, 12961, 685, 1507, 2450, 1568, 1134, 585, 873, 269, 1656, 602, 10416, 2636, 873, 547, 14229, 752, 741, 1259, 538, 547, 9170, 267, 3006, 1256, 811, 982, 835, 942, 563, 10303, 540, 602, 267, 596, 1590, 2936, 513, 5127, 17079, 14791, 5781, 269, 1411, 1223, 723, 621, 2899, 513, 3018, 610, 7466, 513, 3923, 269, 2334, 1259, 267, 538, 2013, 1346, 1814, 1562, 1205, 2250, 707, 15324, 3800, 2943, 1586, 267, 596, 1223, 1265, 873, 1318, 2476, 543, 2061, 873, 689, 4929, 596, 1256, 8338, 2042, 563, 1432, 547, 1684, 2991, 16170, 645, 1872, 24544, 888, 4415, 519, 3268, 2016, 267, 2386, 3364, 267, 596, 786, 581, 2111, 547, 3713, 5127, 12961, 269, 1717, 267, 16326, 873, 568, 1175, 3368, 540, 519, 2898, 1184, 540, 14874, 873, 563, 5475, 519, 7020, 267, 596, 1590, 6146, 1346, 1814, 1562, 5612, 269, 1684, 711, 8488, 741, 17594, 1317, 602, 786, 711, 19915, 1134, 585, 596, 269, 5457, 267, 789, 9742, 543, 3262, 3728, 269, 769, 1175, 513, 2339, 540, 2395, 789, 1223, 2907, 5595, 741, 1297, 543, 15890, 3875, 2694, 540, 707, 15335, 563, 3719, 1548, 9877, 540, 16170, 645, 1872, 9615, 9701, 1411, 25956, 888, 11039, 267, 972, 616, 1896, 1184, 602, 616, 1767, 2111, 547, 6146, 5127, 12961, 269, 16480, 267, 519, 1034, 10375, 547, 2936, 519, 946, 540, 513, 5127, 17079, 10936, 563, 10303, 267, 621, 568, 513, 1448, 543, 10936, 1505, 267, 596, 1223, 1205, 621, 2944, 1318, 2476, 269, 18766, 689, 602, 267, 621, 3884, 1406, 2352, 547, 3489, 519, 1587, 3379, 547, 519, 5458, 3457, 1031, 538, 824, 5574, 563, 2791, 1590, 3314, 1498, 602, 711, 1175, 1022, 5127, 17079, 10936, 786, 798, 269, 634, 1587, 1590, 581, 8810, 2500, 865, 596, 1223, 16425, 3247, 519, 1814, 1562, 689, 9810, 1944, 707, 1753, 543, 1832, 3054, 689, 27830, 942, 267, 2724, 543, 4674, 563, 1103, 1840, 547, 1373, 2500, 267, 1294, 547, 621, 602, 621, 568, 849, 2922, 269, 1411, 1810, 1406, 1616, 547, 1205, 7759, 540, 5127, 12961, 693, 519, 1942, 540, 707, 1072, 610, 602, 540, 707, 1920, 4759, 865, 2638, 519, 5820, 540, 519, 1587, 602, 596, 616, 6236, 563, 6826, 1360, 6297, 609, 707, 4584, 540, 5127, 17079, 10936, 607, 1034, 540, 519, 6671, 11641, 3435, 616, 1500, 609, 2178, 3114, 5820, 269, 1717, 267, 972, 616, 1869, 1866, 607, 16170, 645, 1872, 10089, 569, 602, 616, 1500, 609, 5214, 5820, 269, 769, 1249, 267, 621, 568, 1256, 3769, 538, 16501, 779, 674, 9281, 6938, 476, 1839, 6357, 264, 1592, 540, 23561, 23614, 338, 269, 0, 1556, 9484, 476, 1001, 277, 476, 1428, 281, 1789, 10975, 454, 310, 3201, 309, 3041, 645, 17751, 267, 476, 1556, 590, 7968, 630, 2793, 300, 5183, 264, 910, 589, 3621, 1353, 547, 1174, 519, 1909, 540, 13947, 8781, 5434, 543, 1970, 7400, 12269, 538, 4657, 519, 2916, 538, 7013, 4000, 3323, 2059, 519, 5032, 540, 9546, 6665, 7345, 563, 10521, 3621, 1382, 8484, 10362, 547, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 301, 14505, 264, 538, 519, 2136, 2276, 540, 3013, 630, 24433, 264, 3323, 609, 519, 835, 18881, 1353, 2063, 3018, 563, 763, 1382, 1888, 568, 5136, 572, 305, 341, 725, 540, 589, 14058, 11169, 1657, 1849, 10796, 543, 741, 703, 292, 3555, 306, 630, 3036, 3722, 299, 2464, 1916, 18693, 558, 817, 4016, 547, 5214, 2339, 971, 607, 3574, 799, 568, 14616, 543, 1031, 607, 513, 4492, 563, 288, 14058, 565, 616, 5393, 1922, 710, 5277, 20256, 610, 4396, 5536, 602, 2611, 17735, 538, 2011, 563, 10743, 689, 519, 21601, 28992, 2160, 540, 3163, 543, 5303, 267, 2160, 540, 21601, 28992, 543, 1866, 689, 3162, 4000, 616, 851, 540, 519, 1788, 563, 7336, 8724, 519, 1239, 4015, 1184, 547, 519, 2923, 1934, 593, 11016, 267, 7905, 540, 27321, 7070, 693, 519, 2160, 540, 13325, 538, 519, 7330, 267, 27068, 5062, 293, 541, 638, 9618, 1767, 713, 568, 513, 1360, 1271, 1788, 547, 1174, 2916, 1689, 538, 4000, 543, 11451, 563, 763, 8753, 616, 4397, 538, 2185, 1296, 689, 1631, 269, 1280, 1631, 649, 3112, 9959, 593, 4376, 3823, 3871, 971, 607, 3668, 540, 4764, 538, 4000, 267, 1767, 519, 7548, 563, 32459, 7625, 31375, 540, 715, 14505, 808, 839, 4414, 655, 2335, 5143, 2923, 593, 11016, 602, 9546, 6665, 7345, 729, 6074, 607, 519, 5045, 3887, 6141, 9533, 2488, 513, 2067, 8047, 547, 1353, 2916, 2257, 563, 16446, 655, 2335, 3773, 602, 519, 9546, 6665, 7345, 4139, 23076, 568, 1134, 9280, 585, 519, 1382, 3937, 971, 607, 8484, 543, 824, 3937, 789, 616, 1210, 563, 763, 1239, 786, 581, 1031, 547, 3589, 13247, 543, 519, 2916, 1689, 1198, 971, 607, 10980, 538, 4000, 543, 11451, 267, 646, 1767, 563, 15430, 7808, 16457, 10579, 2605, 753, 29518, 1993, 328, 267, 945, 13984, 519, 4013, 10131, 540, 519, 2680, 693, 519, 19633, 593, 11016, 267, 1767, 621, 568, 2556, 585, 21601, 28992, 547, 581, 851, 540, 519, 1353, 607, 519, 2197, 568, 849, 4299, 676, 2916, 1689, 563, 763, 1239, 814, 1279, 3856, 2640, 585, 21601, 28992, 547, 1174, 2282, 18396, 770, 5836, 5117, 7607, 267, 2627, 4162, 540, 5409, 268, 541, 573, 4525, 543, 2282, 18396, 770, 20893, 3892, 267, 1851, 824, 2640, 563, 2005, 849, 3947, 938, 1053, 513, 4960, 547, 1451, 689, 519, 1655, 267, 865, 602, 14182, 789, 666, 2932, 741, 1378, 1382, 950, 789, 10927, 267, 29518, 1993, 328, 5143, 715, 2086, 320, 538, 606, 12600, 5967, 563, 4415, 2543, 547, 3354, 267, 646, 1767, 519, 2238, 616, 5702, 14478, 547, 1118, 2386, 789, 616, 5342, 9108, 543, 609, 1434, 9837, 563, 763, 2034, 543, 3791, 11775, 540, 713, 1788, 616, 4397, 538, 476, 1001, 278, 543, 476, 1001, 279, 269, 0, 298, 26234, 1488, 9374, 568, 1459, 538, 1614, 2596, 3029, 269, 1358, 616, 28039, 15436, 1355, 1488, 9374, 630, 6938, 1070, 5403, 32034, 1488, 9374, 543, 27777, 24763, 630, 29151, 1040, 634, 1034, 4122, 9648, 918, 26234, 1488, 9374, 568, 27777, 24763, 269, 27777, 24763, 22264, 7444, 1141, 519, 4745, 20162, 1205, 12816, 2476, 7930, 543, 8754, 1572, 28115, 894, 2068, 563, 1607, 2186, 540, 12597, 1488, 9374, 6140, 814, 1764, 593, 519, 2025, 21943, 1004, 607, 1134, 607, 593, 519, 1647, 2085, 1004, 269, 898, 568, 6382, 1572, 607, 5957, 543, 15237, 12263, 610, 28115, 894, 4745, 2068, 269, 3371, 267, 519, 20162, 602, 6818, 585, 7863, 519, 4745, 786, 1205, 12816, 2476, 543, 519, 5642, 568, 6534, 538, 519, 4745, 563, 7197, 5871, 15486, 540, 918, 26234, 1488, 9374, 454, 21848, 543, 3683, 27954, 454, 298, 26234, 1488, 9374, 568, 6140, 4767, 538, 1004, 1657, 476, 2004, 1296, 540, 2085, 269, 901, 2068, 568, 4122, 2938, 538, 14968, 2550, 269, 634, 5786, 538, 2597, 7930, 11081, 519, 12597, 12263, 2589, 269, 634, 2085, 3815, 543, 5230, 2597, 616, 849, 519, 3123, 540, 12597, 1488, 9374, 563, 298, 26234, 1488, 9374, 568, 1336, 547, 581, 1459, 543, 2919, 538, 519, 1004, 945, 723, 713, 1966, 538, 741, 3885, 4505, 269, 18726, 32739, 568, 835, 540, 519, 3123, 540, 12597, 1488, 9374, 563, 291, 600, 720, 547, 519, 918, 26234, 454, 12179, 3105, 12597, 5945, 666, 1291, 547, 1488, 9374, 269, 7102, 5642, 17795, 4478, 519, 4745, 543, 3441, 547, 519, 30301, 666, 1291, 547, 12597, 1488, 9374, 269, 1280, 3236, 267, 570, 756, 658, 29415, 17795, 568, 513, 2783, 1141, 519, 7745, 5642, 22815, 806, 519, 20162, 540, 519, 12597, 4745, 563, 10144, 3257, 1978, 6009, 899, 4070, 6009, 267, 10198, 1899, 11832, 6009, 616, 6140, 12155, 547, 12597, 1488, 9374, 563, 5278, 540, 519, 1164, 1377, 5026, 1522, 1711, 519, 1981, 540, 3384, 1488, 9374, 269, 634, 4745, 5945, 543, 1488, 9374, 666, 2049, 13604, 1813, 547, 519, 7589, 538, 5026, 563, 2252, 972, 568, 1022, 3968, 538, 519, 10549, 610, 952, 972, 616, 1022, 2789, 14501, 540, 30456, 610, 1022, 2564, 2783, 666, 1291, 547, 12597, 12263, 563, 21618, 540, 519, 918, 26234, 1488, 9374, 454, 763, 1928, 693, 519, 4395, 3148, 540, 519, 12597, 568, 2356, 2404, 609, 519, 12597, 1698, 269, 634, 1928, 693, 519, 12597, 1698, 666, 581, 1813, 547, 1082, 824, 2042, 269, 634, 1928, 3330, 519, 12597, 3148, 666, 581, 3361, 676, 631, 12710, 7063, 267, 31443, 2367, 29234, 17229, 543, 12263, 563, 763, 1928, 693, 519, 3544, 540, 519, 12597, 3148, 610, 693, 519, 14694, 2427, 2356, 2164, 689, 8668, 6512, 25688, 4345, 267, 14694, 2367, 29234, 17229, 267, 12263, 543, 700, 12710, 7063, 269, 634, 1928, 693, 519, 12597, 19758, 728, 568, 1813, 547, 519, 5714, 13250, 1634, 607, 22823, 779, 28144, 563, 763, 1928, 602, 2164, 950, 519, 1268, 568, 2469, 1524, 24383, 568, 6140, 1813, 547, 519, 2042, 2404, 609, 519, 9054, 1815, 777, 269, 901, 568, 849, 1572, 607, 669, 1180, 668, 531, 29716, 269, 634, 1928, 568, 4767, 538, 519, 6640, 950, 519, 1268, 530, 1389, 909, 689, 519, 5127, 269, 901, 1928, 786, 7017, 1524, 9900, 1310, 519, 1268, 6238, 547, 798, 1010, 3232, 2238, 7444, 563, 2252, 606, 2498, 4288, 2164, 1175, 1310, 519, 12597, 5945, 267, 1287, 513, 4049, 3441, 1522, 723, 7018, 547, 519, 18751, 2267, 857, 622, 30301, 610, 17795, 538, 519, 695, 514, 5642, 269, 1403, 519, 11926, 10953, 7444, 689, 1906, 3108, 11489, 1906, 2395, 1310, 519, 5945, 267, 519, 2783, 1522, 581, 1175, 1813, 547, 513, 30301, 838, 1778, 543, 568, 1447, 4049, 563, 2252, 519, 11926, 814, 711, 8507, 689, 606, 5945, 267, 1287, 621, 666, 581, 1813, 547, 519, 30169, 610, 30456, 610, 12982, 12263, 610, 3968, 538, 519, 4745, 563, 763, 10688, 540, 519, 12597, 786, 1831, 3908, 6140, 1813, 547, 12263, 4352, 1896, 824, 1455, 4128, 1522, 2014, 4389, 12597, 10688, 269, 1403, 12263, 568, 3743, 585, 519, 12150, 885, 593, 519, 4745, 2627, 267, 1287, 519, 3908, 10688, 1522, 849, 581, 1813, 547, 12263, 563, 763, 28587, 602, 616, 8220, 519, 695, 514, 5642, 543, 25427, 5642, 1683, 519, 6617, 547, 519, 12597, 269, 769, 2013, 519, 28587, 15237, 2476, 267, 621, 5526, 547, 519, 1268, 602, 519, 12597, 568, 4758, 1259, 563, 16954, 4771, 610, 8437, 532, 454, 16954, 4771, 1369, 519, 12597, 568, 513, 1455, 3364, 5433, 676, 3025, 269, 7377, 4771, 1281, 711, 4125, 1022, 1966, 269, 1403, 519, 1402, 4771, 568, 1928, 1652, 972, 786, 711, 581, 1022, 1966, 269, 1403, 519, 1402, 338, 616, 11213, 267, 789, 1590, 581, 11117, 676, 519, 10629, 269, 623, 3591, 616, 2356, 4767, 693, 519, 942, 540, 1022, 5945, 950, 513, 30301, 899, 8028, 299, 568, 14324, 563, 1103, 519, 2013, 540, 519, 2783, 1572, 669, 1180, 668, 531, 29716, 267, 519, 20162, 568, 8697, 269, 1879, 519, 1688, 568, 5116, 593, 519, 12597, 543, 18761, 593, 519, 9054, 1815, 777, 267, 513, 1835, 684, 4221, 14815, 568, 5433, 269, 634, 8860, 14815, 568, 849, 5433, 693, 519, 12597, 3148, 950, 519, 1268, 568, 7092, 689, 12597, 12263, 563, 2252, 519, 12597, 3112, 581, 18761, 610, 2786, 2989, 267, 1287, 621, 568, 519, 1327, 6362, 10835, 269, 700, 12177, 4523, 1317, 540, 2168, 22629, 540, 519, 3350, 540, 519, 12597, 610, 1813, 547, 519, 3339, 12597, 3350, 585, 7303, 1928, 563, 20124, 15894, 281, 5291, 2517, 601, 6665, 269, 1263, 337, 9884, 4593, 12975, 270, 21838, 270, 21838, 4905, 270, 10461, 272, 270, 20880, 11258, 0, 4407, 621, 568, 1455, 547, 1995, 19591, 30181, 12212, 267, 621, 3587, 606, 3390, 540, 6161, 950, 971, 4664, 2061, 596, 689, 8647, 7363, 269, 15901, 730, 11605, 995, 4664, 1223, 5815, 519, 4527, 540, 513, 19591, 4524, 267, 971, 607, 2022, 31691, 4965, 610, 2101, 4965, 269, 26451, 1978, 3536, 538, 707, 2732, 949, 948, 547, 14867, 19591, 2589, 547, 513, 1390, 6708, 267, 7303, 543, 13302, 519, 10335, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20332, 5133, 910, 17776, 540, 519, 642, 30743, 454, 18550, 476, 1691, 267, 476, 1001, 279, 2443, 20050, 540, 5614, 32736, 281, 546, 3530, 617, 2812, 267, 27503, 4054, 267, 5017, 13465, 269, 1717, 267, 835, 3771, 321, 5424, 540, 5614, 602, 11148, 547, 979, 29462, 568, 519, 2132, 540, 519, 21429, 642, 30743, 267, 610, 968, 339, 584, 4486, 18388, 1841, 892, 607, 789, 2461, 3006, 1634, 563, 7021, 331, 8504, 741, 2132, 568, 4440, 1813, 547, 1034, 11570, 711, 711, 6005, 789, 2479, 2451, 269, 9521, 519, 6208, 540, 519, 811, 8353, 24312, 24886, 18147, 5152, 18346, 267, 12119, 2242, 538, 519, 642, 30743, 685, 4527, 616, 1447, 3007, 3766, 4599, 6883, 563, 2252, 596, 798, 1832, 3950, 540, 642, 30743, 267, 596, 786, 1265, 789, 616, 1152, 1459, 538, 14822, 998, 741, 9960, 4005, 538, 519, 5614, 543, 4832, 563, 1103, 519, 2887, 267, 789, 22109, 538, 1166, 4169, 1572, 968, 8208, 14782, 892, 607, 789, 2951, 11141, 9883, 547, 6239, 543, 3162, 3013, 1141, 789, 7670, 5793, 1354, 13059, 5087, 1189, 563, 4415, 3109, 17207, 543, 24052, 267, 2699, 9843, 267, 21429, 642, 30743, 949, 711, 581, 519, 1034, 10694, 5017, 267, 543, 741, 1909, 607, 25094, 12310, 540, 4666, 2831, 8309, 547, 741, 3239, 1966, 563, 7212, 1454, 4731, 11220, 267, 741, 25094, 27701, 2853, 4196, 606, 1271, 5117, 1909, 281, 676, 10438, 4232, 1154, 1286, 322, 13293, 267, 642, 30743, 2973, 519, 5251, 543, 948, 2061, 519, 3262, 540, 2068, 269, 11569, 267, 741, 1909, 607, 2825, 1625, 13294, 568, 10630, 538, 741, 3621, 2012, 267, 6869, 26075, 513, 3120, 267, 799, 814, 519, 1482, 5259, 5169, 607, 519, 2262, 968, 322, 987, 1513, 529, 3034, 4407, 938, 2199, 21429, 642, 11857, 5095, 616, 4867, 3257, 5386, 267, 930, 540, 519, 1158, 779, 642, 11857, 2249, 616, 12517, 19394, 267, 1419, 1813, 547, 1480, 2238, 899, 519, 946, 540, 8914, 267, 543, 713, 814, 1044, 5532, 547, 4679, 538, 2068, 6771, 563, 309, 30743, 723, 513, 1297, 540, 14624, 602, 948, 873, 8011, 607, 25094, 12310, 269, 1280, 1383, 267, 6466, 513, 905, 9312, 2212, 1131, 1831, 1319, 1540, 609, 575, 648, 950, 8757, 883, 519, 17909, 540, 513, 30861, 1286, 322, 817, 267, 741, 8984, 24052, 2212, 666, 10836, 1454, 15777, 563, 309, 30743, 685, 5393, 10792, 7181, 7408, 267, 799, 6146, 1034, 28041, 4551, 267, 5512, 873, 547, 3548, 4232, 1154, 17145, 1510, 4742, 2192, 269, 2755, 21429, 642, 30743, 723, 16994, 32416, 267, 621, 779, 741, 5140, 2631, 540, 9329, 602, 3947, 873, 606, 6316, 936, 824, 25094, 12310, 563, 16729, 741, 562, 4680, 267, 642, 30743, 946, 741, 5432, 4963, 743, 532, 8184, 4806, 547, 1753, 538, 593, 17627, 726, 6979, 8375, 689, 4232, 1154, 1286, 322, 13293, 267, 543, 789, 666, 3713, 891, 1085, 757, 689, 1279, 9883, 2443, 7654, 5195, 2443, 2476, 563, 3383, 267, 607, 596, 979, 827, 707, 5614, 5503, 12738, 267, 1491, 513, 4090, 547, 5469, 519, 21429, 642, 11857, 269, 2755, 649, 1810, 1406, 12314, 938, 13059, 642, 30743, 609, 519, 968, 2181, 1777, 1465, 892, 540, 5614, 267, 543, 596, 4465, 1406, 581, 7487, 14914, 28551, 6486, 609, 642, 30743, 829, 3481, 1851, 519, 32482, 2354, 267, 789, 616, 20866, 7533, 2818, 540, 938, 1604, 269, 0, 763, 7464, 17217, 1284, 2461, 8111, 560, 25875, 6168, 7935, 5287, 19257, 5558, 267, 4563, 19949, 267, 543, 519, 7089, 476, 1724, 454, 1103, 606, 2079, 3370, 538, 18619, 540, 519, 2817, 9142, 540, 7070, 267, 513, 6292, 540, 7811, 27563, 2813, 513, 2203, 1759, 593, 3014, 3069, 630, 320, 7936, 540, 6128, 602, 8942, 547, 3589, 1004, 781, 3527, 543, 4205, 264, 602, 12943, 519, 4105, 2243, 281, 1548, 616, 22530, 1431, 267, 543, 875, 798, 789, 1831, 28348, 538, 2528, 286, 1358, 1336, 602, 2516, 540, 1367, 602, 1376, 609, 1360, 1114, 21246, 1023, 666, 544, 17532, 741, 1259, 4724, 513, 3838, 3661, 1062, 563, 30948, 781, 4277, 1934, 568, 602, 649, 1397, 602, 267, 4098, 538, 513, 1062, 1141, 1100, 835, 814, 1022, 1880, 3661, 1062, 267, 513, 1305, 540, 4978, 666, 10836, 267, 543, 689, 1346, 267, 513, 1305, 540, 20291, 5615, 2437, 661, 1503, 13019, 9809, 599, 267, 12854, 267, 606, 13930, 7548, 540, 7350, 693, 519, 2160, 540, 12425, 269, 25126, 6645, 721, 602, 6972, 896, 513, 21117, 568, 513, 11600, 585, 9568, 267, 543, 1354, 649, 917, 621, 267, 649, 2811, 711, 1175, 18468, 741, 9963, 269, 1284, 2811, 8362, 546, 617, 3101, 561, 5417, 619, 563, 30948, 781, 4277, 1934, 568, 602, 649, 1397, 602, 267, 4098, 538, 513, 1062, 1141, 1100, 835, 814, 1022, 1880, 3661, 1062, 267, 513, 1305, 540, 4978, 666, 10836, 267, 543, 689, 1346, 267, 513, 1305, 540, 20291, 5615, 4799, 5978, 6006, 538, 22530, 1431, 1152, 9428, 6793, 607, 649, 5531, 834, 5271, 2064, 257, 602, 23376, 2312, 540, 891, 993, 6748, 543, 21030, 6681, 6937, 10597, 938, 2729, 269, 834, 314, 5278, 821, 316, 949, 2161, 267, 1412, 302, 10798, 267, 1134, 594, 3494, 602, 950, 594, 7747, 713, 2680, 594, 1058, 13789, 713, 1259, 1317, 1776, 1268, 786, 13789, 602, 1259, 9538, 1656, 936, 942, 267, 952, 789, 723, 1967, 538, 1210, 602, 2186, 540, 513, 4640, 267, 519, 22530, 1431, 6952, 593, 543, 666, 1831, 4720, 3320, 7123, 2437, 6941, 21563, 576, 631, 832, 5652, 267, 12854, 267, 513, 2022, 4777, 28118, 11001, 269, 630, 4322, 4121, 10291, 602, 3310, 875, 649, 2170, 538, 519, 1158, 616, 1634, 607, 834, 577, 648, 20802, 257, 538, 3014, 3069, 8094, 30342, 519, 991, 547, 22545, 593, 3574, 950, 596, 4250, 596, 1522, 581, 795, 514, 343, 532, 3054, 568, 6093, 952, 711, 19450, 2623, 267, 2687, 547, 519, 3173, 269, 5213, 1405, 19292, 547, 27041, 707, 19887, 267, 543, 585, 519, 2648, 540, 707, 3158, 267, 4585, 707, 1900, 563, 10303, 649, 2811, 4743, 8049, 827, 1946, 649, 798, 1018, 649, 798, 267, 1934, 781, 1946, 649, 1058, 3247, 14443, 532, 1004, 543, 519, 4241, 4128, 1946, 596, 1631, 2648, 519, 3536, 596, 554, 730, 607, 513, 1126, 563, 299, 1933, 532, 2859, 24762, 1862, 0, 294, 1090, 3901, 673, 2079, 540, 16130, 10126, 454, 26046, 540, 968, 6390, 22170, 30909, 752, 514, 13682, 7536, 9616, 281, 713, 568, 606, 8097, 4183, 543, 2982, 1152, 519, 1101, 2009, 2079, 540, 519, 4845, 269, 1403, 519, 1062, 729, 3811, 538, 24758, 519, 10126, 267, 596, 786, 1294, 540, 799, 1913, 621, 568, 1500, 909, 540, 267, 3622, 9967, 540, 715, 10494, 267, 25460, 10494, 267, 7638, 2125, 267, 3487, 545, 328, 1255, 543, 1473, 324, 743, 514, 1963, 269, 8437, 593, 519, 3095, 547, 1397, 782, 2009, 8174, 725, 540, 519, 2262, 563, 294, 1090, 3901, 673, 2079, 540, 519, 16130, 1257, 281, 968, 6390, 22170, 30909, 752, 514, 13682, 892, 1765, 454, 268, 25697, 22170, 30909, 752, 514, 13682, 20620, 6390, 22170, 30909, 752, 514, 13682, 630, 29825, 267, 21522, 25011, 4818, 895, 3910, 1496, 333, 7631, 894, 2582, 316, 6390, 22170, 30909, 752, 514, 630, 29825, 267, 6120, 518, 25011, 333, 7631, 894, 12242, 3910, 1496, 22106, 894, 12242, 3910, 1496, 3147, 639, 894, 12242, 2639, 15761, 26167, 29395, 8847, 281, 23006, 752, 514, 267, 23006, 752, 7236, 454, 21446, 894, 6037, 28375, 281, 737, 656, 752, 7236, 267, 1496, 28319, 534, 698, 926, 26260, 785, 328, 316, 21999, 2633, 352, 11695, 509, 24691, 18028, 357, 21005, 267, 1496, 289, 1263, 8932, 316, 11774, 355, 499, 14972, 352, 29082, 491, 14972, 509, 14972, 499, 14972, 379, 14972, 357, 29082, 478, 267, 1496, 10817, 21186, 10620, 316, 11774, 359, 499, 412, 359, 352, 412, 360, 491, 412, 359, 509, 412, 359, 499, 412, 359, 379, 412, 359, 357, 412, 360, 478, 267, 1496, 298, 2335, 3385, 316, 11774, 366, 499, 25223, 352, 412, 367, 491, 25223, 509, 25223, 499, 25223, 379, 25223, 357, 412, 367, 478, 267, 1496, 22416, 599, 15401, 316, 11774, 368, 499, 28092, 352, 412, 369, 491, 28092, 509, 28092, 499, 28092, 379, 28092, 357, 412, 369, 478, 267, 1496, 307, 601, 30253, 316, 11774, 364, 499, 17994, 352, 29497, 491, 17994, 509, 17994, 499, 17994, 379, 17994, 357, 29497, 478, 454, 2108, 6390, 22170, 30909, 752, 514, 13682, 892, 538, 519, 16130, 1893, 4564, 513, 2262, 610, 513, 4999, 540, 1913, 630, 7945, 607, 715, 10494, 267, 1520, 16633, 267, 25460, 10494, 267, 3092, 12175, 901, 3296, 2982, 8100, 547, 16130, 3332, 1141, 713, 10126, 540, 16130, 1257, 4386, 267, 676, 12777, 10478, 585, 713, 4062, 540, 1257, 563, 298, 987, 553, 541, 1080, 698, 4673, 1496, 338, 14234, 316, 630, 2421, 595, 269, 670, 269, 570, 1177, 2284, 994, 19723, 572, 476, 1321, 269, 4029, 269, 6246, 2999, 1496, 6637, 476, 4029, 2639, 298, 2246, 1176, 320, 1488, 628, 1662, 770, 571, 1496, 338, 14234, 2639, 6637, 476, 1015, 269, 272, 2999, 1496, 9349, 476, 1015, 2639, 6637, 476, 1321, 269, 276, 2999, 1496, 9349, 476, 1321, 2639, 19723, 572, 476, 280, 269, 3393, 269, 1626, 2999, 1496, 6637, 476, 3393, 2639, 2252, 596, 899, 713, 1907, 267, 5225, 2015, 1810, 908, 281, 630, 3963, 24047, 0, 3528, 6890, 3279, 670, 269, 1656, 532, 267, 9049, 267, 7345, 3271, 5441, 540, 6925, 543, 7147, 5753, 779, 11233, 454, 10955, 1243, 676, 25562, 4855, 2917, 543, 6169, 1348, 676, 4911, 11253, 1744, 334, 655, 6033, 267, 654, 1180, 8922, 11545, 454, 27860, 4249, 606, 7533, 1909, 538, 2634, 1646, 543, 519, 8647, 540, 938, 4761, 1062, 269, 1717, 267, 1896, 2188, 666, 3310, 519, 6915, 822, 22355, 540, 4401, 267, 610, 938, 1560, 779, 2702, 547, 10110, 713, 7777, 563, 307, 2335, 1231, 543, 11635, 12713, 822, 22355, 454, 307, 2335, 545, 3679, 267, 3006, 1634, 607, 968, 339, 2335, 1231, 2223, 568, 1336, 538, 6995, 543, 7401, 543, 568, 3743, 585, 513, 15280, 6492, 269, 570, 2335, 1231, 2014, 513, 6175, 538, 4401, 10338, 865, 1454, 865, 602, 952, 596, 4235, 6995, 610, 7401, 1472, 606, 5662, 1354, 610, 1310, 513, 7594, 267, 3226, 950, 621, 3568, 1875, 268, 22351, 4401, 267, 596, 666, 2569, 707, 4401, 6915, 822, 22355, 676, 607, 1454, 607, 476, 2412, 18336, 13295, 267, 952, 596, 2461, 2921, 513, 1617, 643, 9559, 609, 4401, 267, 596, 1058, 2230, 621, 856, 689, 950, 596, 2461, 2348, 6995, 610, 7401, 269, 901, 10039, 547, 1312, 2834, 543, 1232, 2378, 10425, 267, 1317, 621, 779, 711, 519, 14933, 855, 2864, 519, 512, 2335, 1231, 538, 6995, 543, 7401, 602, 5540, 4401, 6915, 822, 22355, 563, 12234, 267, 20239, 919, 267, 799, 616, 1336, 538, 6775, 282, 3404, 531, 919, 267, 799, 616, 1336, 538, 2371, 630, 31860, 14043, 16719, 267, 11002, 889, 16808, 267, 543, 22156, 5148, 543, 1256, 13386, 949, 15936, 609, 4401, 10338, 563, 3080, 2707, 540, 8192, 4401, 596, 949, 711, 581, 3222, 540, 568, 2848, 3139, 804, 4461, 269, 27051, 267, 513, 476, 274, 269, 276, 268, 8784, 6712, 3568, 476, 2420, 31501, 630, 16936, 264, 540, 4401, 269, 3958, 267, 11273, 23690, 9094, 2270, 827, 476, 279, 269, 276, 8406, 540, 4401, 538, 519, 1482, 6712, 2450, 1765, 12671, 476, 274, 269, 276, 13728, 563, 2791, 949, 581, 11842, 875, 1454, 4401, 596, 991, 269, 634, 3232, 4704, 703, 1389, 585, 4401, 616, 1759, 593, 2085, 267, 4008, 267, 543, 3942, 540, 1272, 4783, 563, 300, 2297, 1063, 519, 6502, 540, 476, 866, 543, 476, 3583, 2154, 476, 279, 8406, 269, 12339, 2297, 1063, 519, 6502, 540, 476, 1691, 543, 476, 1240, 2154, 476, 1428, 8406, 269, 12339, 2297, 6502, 476, 866, 547, 476, 2004, 2154, 827, 476, 1240, 8406, 269, 2311, 519, 1439, 540, 28689, 543, 519, 4098, 540, 22797, 267, 2021, 6502, 476, 7906, 547, 476, 3583, 2154, 1152, 476, 279, 8406, 282, 865, 519, 2179, 3587, 2673, 547, 519, 10421, 585, 9038, 563, 4002, 3328, 267, 519, 6093, 1977, 2732, 3568, 827, 476, 1015, 8406, 540, 4401, 829, 1169, 476, 272, 267, 1822, 8477, 10057, 282, 855, 267, 713, 568, 519, 6093, 1977, 2732, 602, 779, 2469, 547, 2270, 646, 1889, 4401, 610, 3662, 2861, 4401, 563, 14399, 267, 9176, 610, 14108, 908, 2021, 267, 543, 10956, 1973, 22881, 616, 693, 519, 1034, 1981, 585, 4401, 10638, 269, 2290, 538, 476, 1015, 840, 5443, 641, 30167, 2021, 538, 519, 2136, 2276, 814, 606, 4401, 10638, 563, 24685, 20279, 267, 835, 540, 519, 2591 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 741, 3432, 267, 8325, 32356, 267, 543, 1583, 3603, 4522, 547, 6952, 741, 10352, 543, 15237, 621, 6306, 274, 563, 289, 1638, 16142, 267, 593, 519, 824, 1688, 267, 616, 7286, 30085, 11975, 602, 666, 581, 1336, 538, 9341, 543, 31210, 9381, 7297, 267, 607, 1134, 607, 5757, 1949, 543, 15195, 12647, 275, 269, 4256, 2732, 5631, 5161, 540, 536, 3415, 3165, 267, 1507, 16142, 630, 10175, 824, 13032, 16142, 1070, 29097, 7590, 267, 16015, 267, 5017, 267, 23522, 267, 543, 12212, 18714, 11864, 267, 12933, 30702, 267, 543, 20192, 514, 18344, 916, 276, 269, 18409, 16142, 2308, 513, 3575, 540, 2848, 953, 543, 1490, 1393, 3196, 950, 10122, 267, 1419, 22215, 538, 9597, 5652, 7297, 547, 1491, 5413, 540, 741, 10352, 779, 3908, 15287, 277, 563, 1103, 2474, 540, 10026, 2257, 2035, 267, 519, 10122, 2994, 540, 1312, 519, 20653, 1539, 571, 696, 528, 543, 519, 18409, 16356, 666, 581, 5532, 547, 741, 14624, 547, 519, 5054, 789, 20948, 269, 2755, 519, 20653, 1539, 571, 696, 528, 16941, 593, 922, 22231, 543, 8325, 32356, 585, 31743, 543, 13830, 10352, 267, 519, 18409, 16356, 779, 4222, 543, 3532, 28287, 4847, 621, 547, 8853, 538, 513, 811, 12748, 4259, 563, 5278, 811, 13801, 5013, 827, 891, 11975, 1331, 912, 268, 20653, 1539, 571, 696, 832, 941, 5266, 1507, 538, 2450, 267, 609, 606, 2937, 20653, 1539, 571, 696, 528, 7893, 5111, 1079, 7397, 538, 3259, 278, 563, 268, 18409, 16142, 666, 1332, 909, 547, 513, 5021, 540, 476, 1556, 269, 276, 3952, 630, 274, 269, 276, 7397, 1070, 855, 616, 2356, 476, 278, 269, 274, 268, 278, 269, 279, 3952, 630, 273, 269, 273, 268, 273, 269, 274, 7397, 264, 1279, 279, 563, 268, 20653, 1539, 571, 696, 832, 941, 2219, 547, 581, 3640, 21962, 267, 2324, 1927, 547, 3142, 1524, 3677, 10352, 280, 563, 268, 18409, 16142, 616, 1634, 585, 741, 2702, 547, 20496, 15741, 880, 543, 1256, 15195, 5054, 267, 3850, 873, 547, 14679, 883, 5757, 1949, 543, 3006, 1256, 12647, 1015, 563, 309, 601, 1539, 571, 696, 832, 543, 13032, 16142, 8858, 1114, 8878, 6127, 547, 5351, 538, 741, 6668, 269, 20653, 1539, 571, 696, 832, 267, 1373, 1507, 546, 668, 2801, 13239, 573, 17878, 267, 16941, 593, 741, 22231, 543, 3432, 547, 9101, 689, 1761, 11975, 610, 547, 11654, 10352, 269, 1358, 941, 11439, 609, 8325, 4522, 543, 1279, 267, 17208, 32356, 593, 741, 12042, 3952, 267, 799, 13087, 873, 547, 1102, 12787, 8101, 3441, 547, 17837, 538, 29737, 28458, 12959, 563, 289, 1638, 16142, 267, 593, 519, 824, 1688, 267, 616, 711, 528, 13124, 10728, 543, 616, 1634, 547, 581, 835, 540, 519, 1034, 5906, 2249, 540, 16142, 269, 4256, 2178, 28287, 543, 21083, 267, 1583, 3603, 4522, 1118, 873, 2500, 11975, 269, 1306, 513, 8878, 7271, 267, 13032, 16142, 616, 1634, 547, 1036, 4026, 10028, 519, 1426, 538, 741, 7181, 338, 547, 16297, 1761, 11975, 267, 3850, 873, 547, 9101, 269, 901, 8671, 545, 666, 581, 2938, 607, 606, 9542, 585, 6668, 538, 741, 12748, 1604, 267, 1141, 789, 3068, 1585, 6937, 689, 824, 7286, 11975, 630, 25899, 1916, 13828, 2249, 4865, 2189, 2934, 602, 3565, 547, 741, 17872, 7207, 269, 634, 6063, 1539, 571, 696, 528, 779, 22231, 543, 8325, 32356, 1131, 581, 23773, 538, 513, 2244, 2861, 7369, 322, 566, 267, 1247, 519, 13032, 16356, 779, 3532, 11116, 543, 1036, 4026, 2787, 8671, 545, 1131, 2285, 621, 606, 5413, 538, 606, 12748, 4259, 563, 2691, 7421, 519, 8878, 6127, 540, 6063, 1539, 571, 696, 832, 543, 13032, 16142, 538, 513, 19858, 7237, 1063, 891, 1079, 29737, 581, 6814, 267, 835, 1590, 2015, 519, 1604, 538, 799, 519, 6370, 3217, 1747, 269, 769, 513, 18714, 4259, 267, 519, 6063, 1539, 571, 696, 528, 949, 723, 519, 5580, 1688, 1813, 547, 922, 3432, 543, 32609, 614, 640, 269, 17957, 267, 538, 606, 12748, 1604, 267, 519, 13032, 16356, 1131, 2693, 20441, 1813, 547, 922, 3532, 10977, 7207, 543, 922, 2189, 1505, 540, 530, 8973, 1055, 1761, 6937, 563, 4504, 3485, 775, 543, 4317, 10263, 454, 309, 601, 1539, 571, 696, 832, 267, 5103, 1373, 17255, 585, 6634, 540, 1296, 267, 616, 1634, 585, 741, 4987, 543, 26227, 10122, 1983, 269, 1306, 513, 851, 540, 519, 546, 668, 2801, 13239, 1920, 267, 891, 17878, 17820, 3640, 3620, 2863, 532, 2623, 267, 799, 2838, 1950, 11558, 543, 2792, 1851, 2818, 540, 741, 1895, 272, 269, 2060, 741, 986, 345, 528, 6879, 17369, 32356, 543, 2656, 16846, 525, 267, 6063, 1539, 571, 696, 832, 941, 23773, 11975, 538, 741, 22300, 8134, 563, 4002, 519, 824, 1688, 267, 13032, 16142, 616, 849, 1634, 585, 741, 4987, 543, 13916, 269, 1452, 10728, 11975, 666, 581, 1336, 538, 513, 3099, 540, 9249, 267, 8151, 689, 13719, 9381, 7297, 547, 1256, 8933, 543, 15195, 1949, 269, 18409, 16142, 3335, 6968, 4805, 267, 13461, 593, 741, 16994, 12823, 267, 2178, 10977, 1983, 267, 543, 3532, 11116, 3196, 547, 7001, 10352, 269, 4256, 2702, 547, 3082, 547, 513, 2647, 2039, 540, 2825, 2175, 20502, 741, 5042, 8112, 543, 30506, 547, 1689, 563, 763, 1514, 2623, 540, 6063, 1539, 571, 696, 832, 267, 607, 18505, 1042, 689, 8093, 2963, 267, 6920, 602, 789, 949, 723, 1044, 5827, 540, 2324, 1927, 950, 10122, 10352, 273, 269, 901, 5698, 267, 13745, 609, 741, 3432, 543, 22231, 267, 2693, 2799, 741, 8458, 540, 1967, 538, 13830, 513, 3077, 269, 769, 4334, 267, 13032, 16142, 616, 3622, 22072, 7068, 267, 543, 789, 798, 711, 1106, 2516, 610, 28111, 950, 10122, 269, 1717, 267, 789, 616, 1634, 547, 723, 513, 1164, 4110, 540, 2825, 4656, 543, 949, 7369, 741, 10122, 2994, 1759, 593, 2139, 2200, 543, 2825, 2175, 563, 15987, 1312, 6063, 1539, 571, 696, 832, 543, 13032, 16142, 8858, 4987, 543, 13916, 538, 741, 9757, 5054, 267, 621, 568, 1271, 547, 2015, 519, 1713, 3604, 538, 741, 2067, 9249, 543, 19824, 269, 20653, 1539, 571, 696, 832, 267, 1373, 18714, 7068, 267, 941, 1034, 2693, 11658, 547, 10122, 593, 2244, 269, 2201, 519, 824, 1688, 267, 13032, 16142, 723, 519, 5413, 540, 10688, 538, 1312, 12748, 543, 13719, 9381, 5054, 269, 5015, 267, 519, 22300, 942, 18134, 538, 799, 6063, 1539, 571, 696, 832, 11478, 568, 27723, 1114, 689, 602, 540, 1699, 13032, 16356, 5095, 267, 1818, 513, 1463, 6476, 540, 741, 4987, 543, 1514, 2623, 10169, 4101, 563, 8601, 891, 7687, 267, 621, 568, 26837, 4192, 602, 1312, 6063, 1539, 571, 696, 832, 543, 13032, 16142, 4865, 7415, 4987, 543, 13916, 267, 7700, 547, 741, 1967, 607, 30085, 11975, 538, 741, 9757, 8134, 563, 1103, 513, 19858, 7237, 1063, 513, 20653, 1539, 571, 696, 528, 543, 513, 18409, 1744, 1046, 267, 1896, 1883, 2188, 1131, 3565, 547, 519, 6364, 540, 519, 6370, 563, 295, 629, 18945, 543, 5113, 281, 20653, 1539, 571, 696, 832, 941, 1507, 267, 2244, 1673, 16946, 17878, 602, 20948, 5607, 1282, 519, 17623, 31350, 17675, 22184, 267, 5111, 476, 4037, 2929, 547, 476, 10170, 2929, 1296, 3516, 2707, 269, 769, 4334, 267, 18409, 1744, 10225, 616, 12748, 7068, 1336, 538, 3636, 543, 13719, 9381, 7297, 267, 8933, 267, 543, 1609, 340, 2456, 2707, 269, 634, 1079, 2831, 1131, 2693, 2760, 2743, 538, 741, 2067, 9249, 267, 865, 519, 1604, 538, 799, 519, 4339, 4386, 1131, 3648, 1764, 519, 6364, 563, 23917, 543, 8447, 7167, 3809, 281, 589, 20653, 1539, 571, 696, 528, 1223, 1332, 909, 547, 476, 273, 7397, 538, 3259, 543, 9260, 1472, 476, 1428, 268, 1789, 13532, 2707, 269, 2201, 519, 824, 1688, 267, 18409, 1744, 10225, 666, 1332, 909, 547, 476, 274, 269, 276, 7397, 538, 3259, 543, 9260, 1063, 476, 9873, 268, 15996, 13532, 2707, 269, 769, 2474, 540, 2450, 543, 2527, 267, 519, 18409, 1744, 1046, 19299, 513, 2312, 5413, 936, 519, 20653, 1539, 571, 696, 528, 563, 13070, 1006, 543, 17726, 281, 20653, 1539, 571, 696, 832, 941, 1634, 585, 1373, 26227, 543, 3728, 11975, 269, 1358, 12286, 8325, 267, 17208, 32356, 593, 741, 12042, 17873, 267, 3850, 873, 547, 6952, 543, 17945, 5196, 741, 10352, 269, 6736, 741, 1507, 2450, 267, 789, 941, 3810, 3608, 21962, 269, 769, 4334, 267, 18409, 1744, 10225, 616, 849, 26227, 11975, 538, 741, 12748, 1604, 267, 1634, 585, 741, 10728, 10122, 2623, 543, 4527, 538, 13719, 7297, 269, 1717, 267, 741, 22231, 1131, 581, 3648, 3908, 952, 789, 941, 547, 3068, 513, 20653, 1539, 571, 696, 528, 593, 2244, 563, 2171, 777, 976, 543, 16470, 281, 20653, 1539, 571, 696, 832, 941, 11439, 609, 8325, 4522, 267, 3532, 28287, 267, 543, 513, 14686, 31724, 11057, 804, 1177, 593, 1142, 12042, 18215, 267, 4998, 585, 1793, 4770, 543, 678, 6235, 883, 10352, 269, 634, 18409, 1744, 1046, 814, 3875, 986, 345, 528, 6879, 17369, 4522, 267, 3532, 28287, 267, 543, 6909, 11116, 3196, 14018, 585, 751, 2130, 17145, 269, 4256, 4222, 543, 6043, 1118, 873, 23773, 17837, 538, 519, 1216, 563, 1103, 3932, 267, 519, 1883, 2188, 8159, 519, 6364, 540, 519, 6370, 1063, 513, 20653, 1539, 571, 696, 528, 543, 513, 18409, 1744, 1046, 1131, 7494, 4096, 593, 519, 1604, 538, 799, 519, 4339, 4386, 267, 607, 1134, 607, 519, 2168, 10305, 543, 5759, 540, 1142, 13442, 563, 8005, 14348, 12736, 888, 1103, 713, 19511, 6474, 1575, 1063, 519, 22300, 20653, 1539, 571, 696, 528, 543, 519, 2413, 6377, 18409, 16356, 267, 621, 779, 1898, 547, 2015, 519, 2168, 4162, 543, 5759, 540, 891, 1079, 2249, 269, 901, 1164, 29027, 4320, 6663, 547, 2263, 713, 2442, 6644, 2861, 9183, 1247, 3246, 513, 2312, 267, 18164, 267, 543, 9243, 2079, 563, 763, 20653, 1539, 571, 696, 832, 941, 1507, 546, 668, 2801, 13239, 573, 17878, 602, 5030, 1282, 519, 17623, 31350, 17675, 22184, 267, 827, 476, 4037, 2929, 547, 476, 10170, 2929, 1296, 3516, 538, 5607, 269, 1358, 941, 1634, 585, 741, 22231, 267, 4987, 267, 543, 10122, 26756, 269, 1452, 23097, 5387, 7068, 22234, 8325, 267, 17208, 32356, 543, 4522, 602, 1223, 1102, 12787, 8101, 3441, 269, 1717, 267, 741, 2450, 568, 513, 20159, 267, 607, 789, 941, 1100, 3677, 982, 513, 2413, 6377, 21429, 563, 4002, 519, 824, 1688, 267, 18409, 16142, 616, 1336, 538, 13719, 15741, 880, 543, 15195, 1949, 5001, 269, 1452, 16142, 616, 1634, 585, 741, 10728, 2470, 267, 30286, 513, 3463, 547, 1082, 7286, 2249, 269, 1358, 4865, 3532, 28287, 543, 4522, 267, 2059, 609, 513, 2178, 267, 29765, 1560, 3710, 585, 3432, 543, 16608, 563, 1103, 713, 6474, 1575, 267, 519, 20653, 1539, 571, 696, 528, 1131, 2693, 6560, 1813, 547, 922, 2450, 543, 519, 12748, 7226, 540, 519, 18409, 16356, 269, 2755, 519, 21300, 949, 723, 1185, 606, 5413, 593, 2244, 609, 922, 3432, 543, 22231, 267, 519, 30925, 1131, 8185, 3870, 519, 16356, 538, 1216, 2016, 922, 1379, 543, 12748, 23258, 563, 12234, 267, 513, 1883, 3815, 538, 713, 19858, 16311, 568, 519, 2168, 4222, 540, 1312, 7068, 269, 20653, 1539, 571, 696, 832, 8246, 741, 3432, 543, 10122, 12485, 547, 3142, 1524, 10352, 267, 1247, 18409, 16142, 7048, 593, 741, 1490, 1393, 3196, 543, 986, 345, 528, 6879, 17369, 4522, 547, 24835, 659, 10028, 741, 9072, 269, 769, 513, 835, 6823, 14633, 30925, 267, 519, 18409, 16356, 779, 22406, 1379, 1131, 2693, 8267, 332, 519, 20653, 1539, 571, 696, 528, 563, 763, 2985, 11768, 540, 713, 2079, 8711, 519, 1713, 3604, 1063, 891, 1079, 2249, 1247, 9236, 741, 8396, 7207, 269, 2755, 621, 779, 7543, 547, 3589, 519, 6364, 609, 22979, 267, 17265, 519, 7592, 543, 4162, 540, 519, 20653, 1539, 571, 696, 528, 543, 18409, 16356, 3091, 513, 19214, 883, 519, 6384, 540, 971, 513, 4241, 6474, 1575, 563, 21761, 18542, 5999, 454, 4692, 513, 6063, 1539, 571, 696, 528, 7669, 888, 309, 601, 1539, 571, 696, 832, 941, 5097, 18714, 7068, 9862, 585, 4881, 269, 1358, 1185, 2110, 7916, 267, 799, 1131, 1118, 10977, 2352, 269, 898, 568, 12691, 602, 789, 941, 2178, 7669, 11302, 267, 2523, 950, 3379, 547, 513, 13032, 16356, 602, 568, 1134, 14194, 2194, 539, 547, 12748, 5054, 563, 1432, 568, 519, 2450, 6476, 1063, 6063, 1539, 571, 696, 528, 543, 13032, 16356, 888, 309, 601, 1539, 571, 696, 832, 941, 5266, 1507, 17878, 267, 609, 513, 3259, 540, 909, 547, 476, 277, 269, 279, 3952, 630, 273, 7397, 264, 543, 513, 2597, 540, 5111, 476, 3451, 7273, 630, 1428, 4846, 264, 20653, 1539, 571, 696, 528, 1107, 9504, 269, 769, 4334, 267, 13032 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2175, 971, 607, 12263, 267, 4017, 668, 9234, 22468, 267, 543, 16991, 4713, 666, 1291, 547, 30273, 1928, 269, 18648, 14302, 267, 4887, 20817, 267, 543, 2566, 849, 3565, 547, 713, 1928, 563, 1607, 1928, 2356, 2199, 3278, 547, 513, 1808, 1858, 267, 1419, 538, 519, 6091, 267, 7633, 267, 610, 10549, 269, 2368, 1455, 1806, 1331, 1394, 267, 8405, 267, 13105, 267, 12597, 267, 543, 12048, 1928, 269, 4053, 1529, 25063, 1928, 666, 581, 8650, 267, 9434, 513, 2110, 942, 267, 610, 5312, 267, 6414, 532, 585, 606, 6905, 1974, 267, 1256, 1296, 563, 2467, 616, 1079, 3119, 2010, 540, 30273, 1928, 281, 1250, 1993, 553, 1017, 543, 1148, 7781, 269, 3733, 1993, 553, 1017, 1928, 3322, 9636, 538, 519, 6091, 543, 741, 4478, 24561, 5160, 267, 1419, 1813, 547, 4887, 25418, 610, 9594, 2798, 269, 2201, 519, 824, 1688, 267, 1148, 7781, 1928, 568, 1644, 547, 519, 10549, 543, 949, 6565, 689, 2175, 899, 30169, 610, 27131, 12263, 563, 20329, 8328, 1928, 568, 513, 1950, 1928, 23608, 5097, 689, 5626, 610, 3929, 2188, 269, 9521, 562, 665, 823, 696, 633, 1928, 267, 799, 568, 5532, 547, 513, 1808, 5160, 5945, 267, 2618, 8328, 1928, 19330, 513, 1463, 2168, 2707, 269, 5502, 267, 621, 14340, 689, 3929, 610, 5626, 11605, 267, 1419, 1644, 547, 2566, 267, 4160, 267, 4965, 267, 610, 824, 2790, 1072, 2175, 563, 1607, 1826, 540, 1928, 949, 8915, 607, 1483, 2168, 17915, 5103, 519, 9000, 540, 606, 10423, 15629, 5945, 610, 3441, 547, 519, 1560, 269, 898, 666, 581, 513, 4101, 543, 7138, 1782, 1995, 585, 2043, 543, 3782, 4648, 269, 5369, 8328, 1928, 666, 1459, 538, 1585, 3029, 267, 971, 607, 14331, 267, 4887, 1928, 267, 14159, 9636, 267, 610, 20902, 1928, 2429, 519, 1560, 563, 763, 2247, 23073, 4276, 4249, 513, 2629, 851, 538, 2618, 8328, 1928, 269, 13262, 543, 3929, 2829, 666, 5305, 1978, 6464, 543, 30088, 538, 519, 1560, 267, 799, 666, 1860, 1928, 8226, 543, 8417, 269, 17148, 899, 4017, 668, 9234, 22468, 543, 30717, 10835, 4524, 616, 1419, 2404, 609, 2618, 8328, 1928, 267, 1141, 2168, 2589, 616, 5704, 2299, 5532, 547, 5626, 11605, 563, 20238, 7781, 1928, 267, 1419, 1572, 2234, 10306, 14527, 267, 568, 513, 3982, 1826, 540, 1928, 602, 4386, 950, 11983, 13285, 1831, 19316, 267, 28332, 267, 610, 8697, 269, 898, 568, 6353, 676, 1928, 267, 32688, 267, 610, 8467, 602, 10237, 919, 2059, 519, 4299, 8229, 13374, 267, 3335, 883, 519, 17873, 269, 7101, 7781, 1928, 24865, 689, 519, 8229, 5072, 2282, 519, 11983, 10260, 543, 11498, 883, 1585, 2694, 540, 519, 1560, 267, 4470, 593, 519, 4087, 540, 519, 8229, 13496, 269, 901, 1826, 540, 1928, 568, 1419, 2404, 609, 11983, 2619, 3098, 267, 971, 607, 11983, 23296, 2670, 267, 1200, 333, 7007, 25923, 267, 610, 28115, 894, 1167, 2068, 563, 763, 2565, 4183, 540, 2234, 7781, 1928, 568, 922, 2234, 10306, 14527, 267, 799, 1797, 519, 2589, 2951, 2059, 519, 1576, 540, 519, 8229, 269, 1280, 3236, 267, 952, 513, 8229, 3597, 538, 519, 2539, 1394, 568, 19316, 267, 519, 1928, 949, 2951, 1524, 519, 1850, 267, 1739, 519, 1482, 2619, 607, 519, 4299, 8229, 269, 634, 2470, 540, 2234, 7781, 1928, 9775, 689, 1268, 547, 1268, 543, 568, 1419, 4330, 607, 15246, 267, 3167, 8710, 6438, 267, 8781, 267, 610, 513, 2620, 267, 513, 4221, 1928, 563, 13349, 3123, 540, 2234, 7781, 1928, 1331, 912, 303, 664, 568, 513, 8471, 1480, 1995, 855, 666, 8915, 538, 3309, 2081, 269, 20876, 543, 1114, 11868, 1063, 519, 1585, 2010, 540, 1928, 568, 513, 4105, 1900, 538, 3927, 5883, 543, 8156, 1928, 269, 6787, 621, 781, 8650, 1928, 267, 5312, 1928, 267, 5778, 12949, 545, 1928, 267, 610, 1776, 1106, 267, 1620, 519, 2470, 540, 1928, 16877, 2043, 543, 3782, 4648, 547, 7832, 593, 513, 3460, 4724, 1928, 8323, 543, 4824, 2298, 540, 1272, 269, 769, 519, 14232, 6810, 267, 649, 786, 2417, 2263, 519, 2634, 781, 1909, 538, 4393, 1928, 6786, 267, 519, 6530, 540, 1928, 267, 543, 2994, 585, 1928, 2359, 563, 3918, 22709, 720, 543, 922, 28930, 919, 1131, 899, 547, 2566, 602, 519, 1344, 649, 2709, 568, 3177, 585, 21141, 5301, 543, 1058, 711, 581, 2808, 513, 12990, 585, 3318, 2790, 1072, 5796, 269, 1284, 798, 711, 1683, 2790, 1072, 21904, 267, 2126, 267, 610, 13508, 269, 1403, 596, 723, 1022, 2790, 1072, 4145, 610, 2055, 267, 621, 568, 1898, 547, 5077, 609, 513, 11727, 2790, 1072, 3318, 269, 2659, 2790, 1134, 5630, 568, 540, 25932, 2956, 267, 543, 649, 5000, 596, 547, 3343, 519, 5583, 543, 1489, 540, 2790, 1072, 4966, 950, 2877, 269, 0, 1103, 2221, 779, 1239, 12454, 1158, 267, 2500, 1239, 2359, 568, 2629, 585, 4213, 543, 3906, 540, 782, 7306, 269, 901, 568, 1141, 18482, 5004, 7010, 630, 24174, 5960, 264, 2097, 883, 1404, 269, 769, 713, 3102, 3391, 267, 649, 3580, 2263, 1018, 513, 18482, 5004, 3590, 568, 267, 922, 5057, 2010, 267, 543, 875, 547, 3442, 519, 1318, 24766, 5960, 585, 707, 1808, 2115, 269, 901, 2376, 786, 849, 5490, 883, 519, 2956, 540, 1210, 513, 24766, 5960, 543, 1865, 930, 540, 519, 1034, 2442, 1949, 547, 3391, 519, 3988, 563, 1432, 568, 513, 18482, 5004, 3590, 630, 24174, 5960, 25145, 288, 18482, 5004, 3590, 630, 24174, 5960, 264, 568, 513, 10427, 3301, 3498, 2966, 547, 7561, 4558, 267, 4383, 267, 23074, 267, 543, 13861, 5318, 5666, 540, 1239, 538, 606, 6896, 543, 11295, 6073, 563, 24174, 5960, 5713, 607, 513, 2565, 8115, 1063, 3755, 543, 12240, 267, 4180, 602, 1239, 568, 6740, 18172, 9846, 543, 666, 581, 15600, 8164, 2877, 269, 2311, 922, 4295, 267, 513, 24766, 5960, 568, 513, 21438, 23789, 1141, 1239, 568, 6740, 538, 1585, 12043, 267, 971, 607, 1257, 267, 2338, 267, 2592, 267, 610, 19180, 6119, 563, 3080, 540, 922, 3119, 3252, 568, 547, 7520, 1239, 12879, 998, 513, 3593, 7888, 8818, 267, 3850, 2043, 610, 3156, 547, 2170, 609, 519, 6538, 1510, 17596, 547, 1174, 1950, 1239, 3889, 610, 5752, 4654, 563, 15253, 7859, 540, 513, 24766, 5960, 454, 3086, 602, 596, 723, 3893, 519, 2596, 2856, 540, 513, 6538, 2359, 1062, 1577, 779, 1865, 930, 1883, 3344, 540, 513, 24766, 5960, 912, 272, 264, 4578, 9257, 454, 24174, 5960, 1418, 3278, 1239, 883, 7515, 267, 799, 2874, 540, 9343, 543, 9587, 269, 901, 9184, 983, 2497, 29776, 1239, 2359, 267, 1818, 621, 2653, 547, 1039, 267, 9337, 267, 610, 23074, 1344, 563, 273, 264, 4578, 8232, 454, 24174, 5960, 2882, 7347, 3354, 2934, 267, 971, 607, 17452, 267, 28431, 267, 543, 14238, 267, 547, 16102, 1239, 689, 18977, 1569, 543, 1761, 23563, 563, 274, 264, 4578, 6715, 31772, 454, 2005, 16404, 806, 1239, 8699, 10148, 547, 2327, 519, 6111, 543, 11007, 540, 6740, 1344, 269, 9182, 267, 20336, 7034, 6087, 519, 6604, 540, 1239, 13313, 610, 27753, 563, 275, 264, 1230, 2017, 6275, 6513, 454, 1103, 3818, 268, 12528, 5054, 267, 24766, 5960, 21314, 21276, 1569, 547, 519, 6538, 267, 4180, 602, 2789, 3755, 666, 960, 609, 519, 1239, 8195, 1510, 7526, 563, 276, 264, 7982, 1575, 543, 18401, 454, 29909, 782, 540, 519, 24766, 5960, 1949, 1683, 6127, 585, 2870, 1394, 5725, 540, 1239, 267, 799, 666, 581, 2629, 585, 9568, 6051, 543, 7303, 8628, 1239, 2530, 538, 2013, 540, 513, 1062, 5821, 563, 277, 264, 2372, 2044, 5678, 454, 24174, 5960, 7028, 513, 11295, 13214, 1893, 630, 21415, 264, 602, 2636, 3755, 547, 25666, 14511, 547, 23074, 1808, 1239, 689, 519, 6538, 563, 278, 264, 12039, 532, 543, 26659, 454, 2005, 2882, 4994, 532, 6127, 543, 13214, 11938, 2553, 547, 3986, 13214, 2773, 543, 2569, 3210, 2053, 563, 278, 9537, 540, 24766, 5960, 1411, 18771, 5700, 454, 291, 520, 15390, 5004, 7010, 630, 24174, 5960, 264, 2097, 538, 1585, 2010, 267, 1142, 3358, 547, 1808, 946, 2665, 543, 1239, 2359, 4170, 269, 4197, 891, 2010, 568, 2629, 585, 8939, 519, 1034, 5078, 24766, 5960, 585, 707, 3919, 779, 2115, 563, 10376, 1826, 540, 24766, 5960, 814, 922, 9342, 543, 12755, 267, 1818, 873, 5078, 585, 3982, 946, 2665, 269, 1879, 8939, 513, 24766, 5960, 585, 707, 1788, 267, 2015, 2188, 971, 607, 1239, 4320, 267, 6988, 267, 2773, 4170, 267, 543, 25382, 547, 2327, 621, 20383, 609, 707, 3919, 779, 1808, 2115, 563, 4131, 779, 2263, 891, 24766, 5960, 2010, 538, 811, 1469, 912, 272, 264, 4039, 1049, 24766, 5960, 630, 305, 24174, 5960, 2187, 29619, 281, 681, 24174, 5960, 568, 835, 540, 519, 1034, 4922, 1031, 2010, 540, 24766, 5960, 269, 898, 1418, 3278, 1239, 883, 11295, 7515, 609, 9343, 543, 9587, 267, 30191, 1239, 8699, 998, 513, 30966, 28203, 563, 8196, 27418, 281, 681, 24174, 5960, 568, 4998, 585, 7653, 1141, 1239, 3347, 616, 1134, 20452, 543, 991, 547, 581, 9738, 269, 898, 779, 4122, 1031, 538, 1870, 3156, 267, 2883, 1949, 267, 543, 552, 19645, 5867, 563, 268, 26057, 18482, 454, 268, 9786, 14069, 18218, 454, 273, 264, 8641, 24766, 5960, 912, 29619, 281, 8641, 24766, 5960, 6212, 593, 5883, 1239, 609, 6946, 3347, 269, 898, 18271, 3113, 3889, 630, 333, 3941, 543, 8728, 264, 547, 2099, 543, 13214, 4448, 1239, 563, 8196, 27418, 281, 8641, 12240, 14133, 538, 3156, 5473, 3810, 4448, 1239, 267, 899, 1514, 5121, 267, 16252, 1949, 267, 543, 12611, 7020, 563, 268, 8835, 3026, 31337, 454, 274, 264, 8629, 14114, 686, 5034, 24766, 5960, 630, 302, 7495, 289, 5960, 2187, 29619, 281, 744, 7495, 289, 5960, 8637, 1239, 538, 519, 1106, 540, 3615, 267, 1818, 621, 5078, 585, 3156, 609, 1950, 1239, 3347, 269, 898, 11498, 519, 1843, 15129, 5752, 17565, 547, 12240, 563, 8196, 27418, 281, 744, 7495, 289, 5960, 568, 6964, 538, 11890, 1141, 519, 2497, 540, 1239, 5702, 20998, 1483, 8996, 3615, 267, 971, 607, 21957, 1949, 267, 19180, 3156, 267, 543, 3621, 1382, 563, 275, 264, 3143, 21415, 24766, 5960, 912, 29619, 281, 3143, 21415, 630, 8253, 8307, 14069, 264, 24766, 5960, 568, 2966, 585, 7829, 13417, 19099, 610, 10859, 3613, 19099, 1239, 269, 9521, 681, 24174, 5960, 267, 621, 3085, 1406, 2154, 513, 6378, 28203, 267, 3850, 585, 811, 8112, 538, 1239, 4859, 563, 8196, 27418, 281, 3143, 21415, 12240, 616, 5078, 585, 3156, 7231, 609, 1804, 12531, 540, 1239, 267, 971, 607, 1514, 2923, 5867, 267, 14164, 3457, 267, 543, 1483, 6066, 12642, 563, 268, 11657, 14114, 686, 5034, 281, 15216, 334, 24174, 267, 595, 13224, 19668, 454, 268, 6206, 268, 19368, 853, 2803, 281, 4414, 529, 267, 681, 328, 752, 454, 268, 28758, 6363, 13637, 853, 2803, 281, 28833, 18706, 18588, 267, 670, 26015, 454, 276, 264, 5384, 4149, 7685, 24766, 5960, 912, 29619, 281, 5384, 1606, 7685, 24766, 5960, 24870, 538, 13936, 543, 13214, 532, 942, 3613, 2086, 539, 1239, 269, 898, 779, 20979, 585, 7829, 1239, 2798, 6394, 936, 942, 267, 1818, 621, 5078, 585, 14164, 267, 5464, 267, 543, 12642, 563, 8196, 27418, 281, 5384, 1606, 7685, 12240, 616, 4105, 538, 3156, 8506, 1483, 6066, 2079, 540, 942, 25259, 1239, 267, 1519, 6006, 2344, 2079, 543, 9300, 1239, 4393, 563, 277, 264, 1715, 21415, 24766, 5960, 912, 29619, 281, 1715, 21415, 12240, 2832, 547, 9192, 519, 25382, 540, 3143, 21415, 12240, 609, 519, 8028, 2839, 630, 4263, 5669, 640, 267, 3117, 29548, 267, 1772, 15684, 267, 667, 13701, 264, 3601, 540, 2757, 681, 24174, 5960, 269, 1358, 2709, 1164, 2773, 543, 8880, 25382, 563, 8196, 27418, 281, 1715, 21415, 12240, 616, 1031, 538, 3156, 1141, 519, 4170, 585, 1312, 11007, 543, 25382, 616, 1898, 267, 971, 607, 2228, 11834, 4393, 630, 5357, 9143, 264, 1949, 563, 268, 5616, 1975, 534, 1676, 454, 278, 264, 769, 5336, 25514, 24766, 5960, 912, 29619, 281, 769, 2173, 25514, 24766, 5960, 8637, 1239, 538, 519, 2780, 779, 1292, 3965, 630, 305, 4456, 264, 2864, 982, 593, 12210, 267, 4611, 538, 24215, 3728, 1239, 1569, 563, 8196, 27418, 281, 769, 2173, 25514, 12240, 616, 6964, 538, 3156, 8506, 1483, 6066, 1239, 4393, 267, 971, 607, 1164, 23151, 9467, 1949, 543, 524, 2286, 6106, 538, 1357, 3156, 563, 268, 590, 4338, 22743, 2793, 454, 268, 4414, 529, 630, 4754, 849, 4196, 607, 606, 538, 2173, 25514, 6538, 994, 1692, 547, 7994, 519, 9406, 24766, 5960, 585, 2659, 20126, 888, 15675, 532, 519, 1318, 24766, 5960, 568, 2629, 585, 707, 3919, 779, 4398, 543, 1239, 2359, 269, 1411, 1590, 2015, 891, 2188, 950, 1818, 513, 3903, 912, 272, 264, 4578 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1265, 1082, 4930, 543, 4574, 827, 645, 309, 295, 20671, 6620, 593, 519, 1357, 269, 898, 781, 2693, 547, 581, 513, 811, 7561, 13214, 762, 6041, 540, 519, 17450, 982, 519, 12354, 872, 1131, 581, 269, 9717, 27250, 18744, 1283, 20366, 267, 1875, 2146, 2914, 5942, 4267, 540, 513, 5934, 3259, 616, 14718, 0, 290, 12973, 454, 290, 12973, 585, 8866, 454, 10403, 1353, 1570, 454, 19423, 1467, 2578, 637, 454, 5415, 454, 1805, 648, 692, 258, 28251, 1744, 12609, 4147, 476, 279, 10298, 3848, 476, 277, 910, 10789, 545, 25285, 543, 5772, 885, 630, 2750, 476, 277, 269, 272, 264, 11644, 476, 277, 269, 272, 692, 8310, 8242, 4266, 281, 476, 1704, 628, 4455, 476, 1708, 275, 454, 13707, 5784, 281, 476, 276, 4792, 269, 279, 330, 454, 21366, 2221, 281, 476, 280, 269, 4792, 330, 692, 1012, 28251, 1744, 12609, 4147, 476, 279, 10298, 3848, 476, 277, 910, 10789, 545, 25285, 543, 5772, 885, 630, 2750, 476, 277, 269, 272, 264, 11644, 476, 277, 269, 272, 910, 5131, 7300, 692, 10403, 7300, 4647, 540, 28251, 1744, 12609, 4147, 476, 279, 10298, 3848, 476, 277, 910, 10789, 545, 25285, 543, 5772, 885, 11644, 476, 277, 269, 272, 12193, 676, 16869, 9119, 11334, 593, 28174, 656, 340, 2593, 269, 2353, 3848, 476, 277, 910, 10789, 545, 25285, 543, 5772, 885, 1401, 476, 277, 269, 272, 5999, 609, 10298, 585, 28251, 1744, 12609, 4147, 476, 279, 4569, 547, 948, 596, 547, 23590, 2347, 28924, 16086, 543, 24143, 2859, 7436, 269, 19193, 585, 2228, 18006, 585, 594, 3951, 808, 7417, 630, 300, 1622, 1299, 11628, 264, 543, 824, 7177, 13675, 11400, 269, 28174, 656, 340, 568, 513, 3760, 602, 2488, 1863, 19436, 8827, 543, 824, 1353, 2326, 585, 1053, 269, 3163, 4841, 945, 616, 3168, 585, 19436, 10298, 585, 4147, 476, 279, 3163, 786, 849, 1265, 519, 10298, 26940, 676, 938, 9457, 11334, 2731, 6435, 995, 780, 1012, 28251, 1744, 12609, 4147, 476, 279, 10298, 3848, 476, 277, 910, 10789, 545, 25285, 543, 5772, 885, 630, 2750, 476, 277, 269, 272, 2020, 22069, 1903, 547, 28251, 1744, 12609, 4147, 476, 279, 3848, 476, 277, 10789, 545, 25285, 543, 9163, 723, 1044, 3177, 1934, 269, 901, 3184, 814, 3769, 1806, 1759, 593, 519, 1888, 540, 10789, 545, 25285, 543, 9163, 547, 4194, 1483, 3734, 2042, 269, 769, 713, 3184, 267, 1053, 786, 1174, 519, 2495, 543, 519, 1523, 540, 15821, 7215, 269, 901, 3184, 5631, 9388, 609, 10789, 545, 25285, 543, 9163, 269, 769, 713, 3184, 267, 649, 786, 581, 1565, 10789, 545, 25285, 543, 9163, 538, 1469, 780, 2162, 2368, 11762, 799, 723, 1044, 5941, 538, 713, 3848, 1384, 1892, 1548, 616, 25285, 2496, 1892, 16301, 267, 11790, 543, 3213, 324, 13266, 692, 1892, 3933, 6706, 338, 267, 23642, 6706, 338, 543, 27155, 338, 692, 1892, 6145, 543, 9521, 16301, 692, 1892, 18827, 543, 25513, 540, 10789, 545, 25285, 692, 1892, 18527, 540, 10789, 545, 25285, 281, 4985, 692, 1892, 5564, 28745, 513, 3933, 6706, 676, 513, 3933, 6706, 692, 1892, 5564, 28745, 513, 3933, 6706, 676, 513, 27155, 692, 1892, 5564, 28745, 513, 27155, 676, 513, 27155, 692, 1892, 1548, 568, 606, 14740, 2496, 1892, 9208, 5772, 885, 692, 1892, 16792, 5772, 885, 692, 2162, 1548, 616, 25285, 2496, 24868, 1963, 543, 21635, 1118, 7215, 269, 634, 4082, 476, 278, 344, 1107, 476, 279, 568, 1500, 689, 519, 4756, 586, 543, 21635, 476, 278, 543, 476, 279, 269, 634, 4082, 544, 333, 1341, 476, 278, 814, 4632, 544, 543, 562, 543, 21635, 476, 278, 269, 1879, 519, 1871, 6074, 585, 519, 4632, 606, 4082, 2242, 267, 519, 1871, 540, 4082, 2242, 269, 4475, 267, 519, 1871, 540, 476, 278, 344, 1107, 476, 279, 2242, 267, 607, 586, 3217, 593, 1585, 2418, 780, 2162, 16301, 267, 11790, 543, 3213, 324, 13266, 692, 4131, 721, 1491, 519, 1383, 540, 476, 278, 343, 1341, 476, 279, 780, 1607, 4082, 814, 1079, 2474, 267, 476, 278, 343, 543, 476, 279, 780, 24404, 916, 666, 581, 6719, 607, 519, 1587, 540, 2188, 269, 634, 2165, 476, 278, 343, 568, 519, 1587, 540, 519, 2188, 476, 278, 543, 1535, 269, 634, 2165, 476, 279, 692, 13757, 1175, 835, 3815, 267, 1775, 4318, 1421, 476, 279, 780, 763, 10230, 3815, 540, 513, 2165, 568, 1634, 607, 922, 10230, 11664, 780, 2162, 3933, 6706, 338, 267, 23642, 6706, 338, 543, 27155, 338, 692, 12507, 6706, 338, 616, 7215, 602, 616, 1500, 909, 540, 1152, 835, 2165, 780, 5278, 1806, 540, 1395, 6706, 338, 281, 476, 279, 343, 3867, 273, 9574, 278, 344, 3867, 279, 348, 3092, 780, 289, 30796, 338, 2270, 1079, 2474, 780, 5278, 1806, 540, 23481, 338, 281, 1535, 20742, 267, 476, 279, 343, 3867, 273, 15396, 278, 344, 3867, 279, 348, 3092, 780, 307, 12541, 6706, 3568, 1614, 2474, 543, 865, 593, 780, 5278, 1806, 540, 959, 30796, 338, 281, 1535, 1341, 476, 278, 344, 1107, 279, 267, 476, 279, 343, 3867, 273, 15396, 278, 344, 3867, 279, 15396, 345, 3092, 780, 288, 9971, 568, 606, 4082, 2348, 835, 610, 811, 2474, 609, 513, 1875, 25179, 11664, 269, 4935, 267, 1395, 6706, 338, 267, 23481, 338, 267, 959, 30796, 338, 267, 3092, 1421, 616, 782, 21335, 780, 5278, 1806, 540, 21335, 281, 530, 21147, 20742, 266, 345, 267, 476, 278, 15383, 267, 476, 1704, 344, 3867, 274, 348, 3092, 780, 2162, 6145, 543, 9521, 16301, 692, 24404, 916, 616, 2808, 547, 581, 899, 950, 1384, 1892, 1358, 723, 519, 1482, 4632, 780, 1892, 634, 7060, 540, 891, 4632, 616, 519, 1482, 780, 2005, 568, 711, 2556, 585, 519, 14170, 540, 899, 2474, 547, 581, 519, 1482, 780, 2252, 519, 1657, 2175, 616, 711, 1558, 267, 789, 616, 2808, 267, 7429, 2474, 780, 2162, 18827, 543, 25513, 540, 10789, 545, 25285, 692, 4131, 721, 1451, 875, 547, 1039, 543, 10208, 15821, 7215, 780, 2414, 1039, 610, 10208, 21335, 267, 649, 1039, 610, 10208, 519, 899, 2474, 282, 1287, 4383, 519, 267, 7429, 2474, 780, 7078, 2433, 5410, 281, 476, 278, 335, 336, 1341, 476, 279, 336, 337, 1107, 476, 274, 337, 335, 267, 476, 275, 336, 337, 1341, 476, 279, 337, 335, 1107, 476, 274, 336, 780, 11405, 281, 1109, 2414, 798, 1840, 519, 7215, 547, 581, 3773, 723, 547, 581, 2854, 538, 5094, 9343, 269, 1284, 2322, 519, 899, 2474, 835, 2630, 519, 824, 543, 1287, 1039, 610, 10208, 873, 780, 4131, 721, 2328, 519, 7215, 538, 5094, 9343, 267, 609, 899, 2474, 835, 2630, 692, 1492, 824, 692, 278, 335, 336, 1341, 476, 279, 336, 337, 1107, 476, 274, 337, 335, 266, 271, 336, 692, 266, 476, 271, 335, 336, 266, 275, 336, 337, 1341, 476, 279, 337, 335, 1107, 476, 274, 336, 692, 6303, 318, 692, 278, 335, 336, 266, 1321, 336, 337, 266, 276, 337, 335, 268, 274, 336, 692, 17798, 267, 519, 2040, 568, 476, 278, 335, 336, 266, 1321, 336, 337, 266, 276, 337, 335, 268, 274, 336, 16317, 2162, 18527, 540, 10789, 545, 25285, 281, 4985, 692, 1892, 5564, 28745, 513, 3933, 6706, 676, 513, 3933, 6706, 692, 2691, 513, 1395, 6706, 568, 16611, 676, 513, 1395, 6706, 649, 2141, 1205, 513, 1395, 6706, 780, 1892, 5564, 28745, 513, 3933, 6706, 676, 513, 27155, 692, 2414, 9062, 513, 1395, 6706, 676, 513, 9971, 267, 649, 723, 547, 9062, 1169, 2165, 538, 519, 9971, 676, 519, 1395, 6706, 780, 1892, 5564, 28745, 513, 27155, 676, 513, 27155, 692, 2691, 21335, 616, 16611, 609, 21335, 267, 621, 779, 19624, 547, 1413, 856, 585, 899, 2474, 543, 9192, 873, 267, 952, 1022, 780, 2162, 1548, 568, 606, 14740, 2496, 2304, 3961, 568, 606, 7862, 602, 6585, 3020, 585, 1169, 1871, 540, 519, 4756, 780, 2304, 3830, 568, 711, 3020, 585, 782, 2418, 540, 519, 4756, 269, 898, 568, 3020, 585, 1152, 930, 2418, 540, 519, 4756, 780, 2162, 9208, 5772, 885, 692, 2080, 616, 930, 1271, 9163, 602, 786, 581, 5363, 547, 3314, 1384, 5416, 1341, 536, 22722, 273, 13157, 513, 3867, 273, 15396, 476, 273, 629, 1341, 536, 3867, 273, 10926, 5416, 910, 536, 22722, 273, 13157, 513, 3867, 273, 18511, 476, 273, 629, 1341, 536, 3867, 273, 10926, 5416, 1341, 536, 264, 630, 320, 1107, 536, 264, 815, 513, 3867, 273, 348, 1700, 536, 3867, 273, 10926, 4322, 1109, 9163, 616, 3044, 9163, 780, 3287, 1341, 513, 264, 630, 343, 1341, 536, 264, 815, 1535, 3867, 273, 15396, 630, 320, 1341, 536, 264, 1535, 1341, 705, 692, 763, 1657, 3961, 568, 519, 2489, 1106, 540, 519, 824, 1614, 9163, 780, 2162, 16792, 5772, 885, 692, 763, 1657, 2185, 9163, 616, 6140, 1031, 538, 4466, 856, 10945, 543, 2472, 540, 15821, 7215, 780, 6962, 692, 2690, 1053, 530, 5109, 547, 6060, 24974, 9344, 538, 4569, 267, 28251, 1744, 12609, 10298, 568, 519, 1655, 1353, 1570, 269, 3776, 1641, 2339, 4966, 693, 28174, 656, 340, 723, 5423, 519, 1109, 28251, 1744, 12609, 3435, 547, 948, 519, 1053, 945, 1265, 7965, 538, 6061, 873, 269, 4841, 666, 3362, 1569, 4267, 547, 519, 2042, 1459, 538, 28251, 1744, 12609, 4147, 476, 279, 3848, 476, 277, 676, 23842, 519, 7300, 269, 898, 3568, 782, 519, 3435, 538, 513, 2143, 6073, 543, 849, 26770, 2055, 547, 581, 4280, 538, 519, 981, 269, 2991, 6061, 891, 2055, 1053, 786, 15983, 1205, 811, 8746, 827, 519, 981, 780, 1012, 14174, 17988, 593, 28251, 1744, 12609, 4147, 476, 279, 10298, 3848, 476, 277, 910, 10789, 545, 25285, 543, 5772, 885, 630, 2750, 476, 277, 269, 272, 264, 11644, 476, 277, 269, 272, 692, 272, 269, 1548, 3584, 616, 5941, 538, 713, 3184, 2496, 5278, 540, 519, 3584, 799, 723, 1044, 5941, 538, 713, 3184, 616, 1384, 1892, 1548, 616, 25285, 2496, 1892, 16301, 267, 11790, 543, 3213, 324, 13266, 692, 1892, 3933, 6706, 338, 267, 23642, 6706, 338, 543, 27155, 338, 692, 1892, 6145, 543, 9521, 16301, 692, 1892, 18827, 543, 25513, 540, 10789, 545, 25285, 692, 1892, 18527, 540, 10789, 545, 25285, 281, 4985, 692, 1892, 5564, 28745, 513, 3933, 6706, 676, 513, 3933, 6706, 692, 1892, 5564, 28745, 513, 3933, 6706, 676, 513, 27155, 692, 1892, 5564, 28745, 513, 27155, 676, 513, 27155, 692, 1892, 1548, 568, 606, 14740, 2496, 1892, 9208, 5772, 885, 692, 1892, 16792, 5772, 885, 692, 273, 269, 12315, 930, 1483, 3734, 946, 540, 10789, 545, 25285, 780, 2467, 616, 1896, 8320, 538, 1483, 1272, 1141, 649, 946, 15821, 7215, 269, 2991, 4974, 519, 3184, 649, 786, 581, 2111, 547, 946, 519, 2035, 547, 4194, 1483, 3734, 2042, 780, 2171, 666, 946, 891, 538, 1483, 3734, 3871, 281, 971, 607, 267, 538, 12719, 519, 1858, 540, 513, 13551, 267, 540, 799, 519, 5011, 616, 6719, 607, 7215, 780, 2467, 616, 1082, 824, 3156, 540, 519, 2035, 540, 519, 3184, 10789, 545, 25285, 543, 5772, 885, 799, 1053, 786, 581, 2111, 547, 5660, 1310, 4974, 519, 3184, 780, 274, 269, 1548, 616, 25285, 2496, 1103, 519, 3848, 15821, 7215, 543, 9163, 267, 835, 540, 519, 1101, 3584, 649, 2097, 2066, 568, 7215, 780, 2304, 4082, 3710, 909, 689, 21635, 543, 4632, 4448, 609, 15821, 4238, 269, 25285, 616, 1500, 909, 540, 2474, 780, 5445, 666, 581, 2417, 11609, 609, 519, 948, 540, 1806, 780, 2690, 1383, 267, 476, 278, 343, 11054, 6567, 476, 279, 15383, 1341, 524, 568, 606, 15821, 4082, 269, 6271, 971, 4082, 1223, 581, 267, 476, 1704, 343, 266, 476, 278, 344, 780, 13295, 267, 713, 20147, 519, 4214, 540, 7215, 269, 0, 1012, 476, 1001, 278, 23946, 368, 1556, 10951, 486, 1015, 20721, 354, 19404, 495, 418, 505, 506, 20721, 354, 692, 2162, 476, 12255, 27730, 910, 5124, 910, 10084, 29441, 910, 476, 25335, 352, 22909, 494, 27730, 910, 13127, 378, 362, 26166, 7430, 357, 417, 509, 374, 10951, 361, 7511, 7430, 359, 421, 500, 351, 12255, 910, 17276, 490, 485, 12255, 421, 500, 351, 12255, 7430, 357, 21382, 378, 12255, 421, 500, 351, 12255, 910, 17276, 490, 485, 12255, 421, 500, 351, 12255, 263, 26266, 362, 18998, 16533, 492, 421, 500, 351, 12255, 18998, 273, 421, 504, 492, 23523, 362, 26166, 18998, 417, 351, 501, 418, 372, 505, 18998, 344, 420, 375, 372, 7430, 357, 28374, 11590, 353, 30536, 18998, 11210, 364, 12530, 358, 12530, 499, 28374, 418, 493, 493, 13200, 375, 2020, 272, 269, 4399, 8218, 15204, 2410, 348, 325, 20728, 346, 262, 4153, 3847, 3287, 9368, 21174, 2765, 346, 272, 2410, 273, 4153, 3847, 20719, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 332, 1170, 532, 319, 2387, 284, 1265, 29309, 532, 5591, 263, 1730, 15478, 1551, 1730, 267, 2387, 2387, 18987, 7673, 1109, 1730, 15478, 1551, 15481, 1730, 5148, 2387, 2387, 3663, 334, 319, 2387, 257, 763, 10545, 2318, 834, 319, 2387, 269, 1109, 2387, 2387, 7673, 1109, 1730, 257, 332, 1170, 532, 1297, 568, 834, 319, 2387, 267, 2387, 2387, 18987, 3396, 1109, 1109, 1730, 15478, 332, 1170, 532, 1730, 282, 2387, 2387, 1109, 319, 1109, 2387, 2260, 901, 3009, 568, 8329, 1109, 2387, 2387, 2260, 676, 695, 643, 10734, 327, 752, 339, 269, 2387, 2387, 286, 285, 2387, 692, 20479, 1384, 3499, 763, 10545, 2318, 7508, 1297, 568, 476, 272, 454, 7884, 11742, 29203, 281, 744, 3799, 994, 288, 5060, 18416, 6611, 281, 744, 263, 272, 2020, 16920, 1549, 5467, 256, 5213, 1406, 3247, 1565, 1631, 269, 5192, 3180, 540, 782, 519, 1271, 667, 6347, 2035, 609, 519, 667, 6347, 8682, 623, 3166, 6092, 693, 513, 2875, 7888, 3902, 543, 1831, 2872, 4712, 780, 7069, 9608, 11872, 15561, 5091, 1886, 318, 1575, 692, 288, 5358, 1067, 543, 589, 10724, 1565, 2037, 28387, 328, 770, 692, 2252, 596, 899, 717, 2465, 802, 1721, 294, 2465, 802, 543, 1131, 899, 547, 3565, 267, 596, 666, 849, 2328, 606, 2376, 1210, 3565, 269, 613, 4060, 1721, 613, 4060, 3820, 610, 13875, 707, 2376, 547, 3565, 287, 613, 4060, 1721, 613, 4060, 3820, 269, 6423, 707, 2376, 17729, 593, 519, 717, 2465, 802, 1721, 294, 2465, 802, 1292, 2985, 543, 948, 824, 717, 2465, 802, 780, 8923, 13724, 713, 2376, 952, 596, 1265, 4376, 11234, 676, 14467, 593, 519, 834, 18719, 557, 9137, 257, 7735, 2630, 780, 18719, 1386, 1635, 2433, 642, 339, 8548, 267, 31155, 531, 318, 298, 327, 18649, 267, 669, 527, 3757, 599, 531, 692, 20684, 16193, 10778, 20797, 16193, 23241, 1321, 692, 8923, 2328, 547, 721, 693, 3565, 287, 613, 4060, 1721, 613, 4060, 3820, 547, 1867, 1022, 3390, 609, 519, 1657, 1543, 269, 0, 258, 14419, 1403, 20514, 3657, 23155, 18185, 692, 1012, 23155, 7412, 18185, 1107, 13507, 629, 692, 10403, 6252, 1899, 9498, 1107, 1265, 519, 3830, 540, 513, 6252, 1899, 1900, 8386, 9912, 692, 4178, 269, 32188, 629, 2593, 4882, 565, 591, 270, 1706, 5537, 11060, 23343, 1529, 1807, 692, 1012, 23155, 543, 3131, 12993, 7412, 18185, 1107, 2560, 692, 763, 9498, 786, 1265, 519, 3830, 540, 519, 6252, 270, 704, 12993, 1899, 547, 519, 2016, 1899, 267, 8429, 998, 519, 2016, 1448, 267, 609, 3268, 3254, 269, 1280, 5373, 3515, 267, 946, 519, 24275, 9498, 269, 4855, 519, 3830, 540, 519, 1899, 269, 6252, 13902, 780, 4178, 269, 655, 987, 15276, 14492, 270, 20412, 2209, 270, 531, 5040, 268, 272, 692, 1012, 14419, 1403, 5565, 20514, 3657, 23155, 2107, 2560, 692, 1015, 270, 1321, 270, 1708, 271, 1109, 6440, 23155, 543, 3131, 12993, 7412, 18185, 269, 634, 9498, 786, 1265, 519, 3830, 540, 519, 6252, 1315, 13902, 1899, 547, 519, 2016, 1899, 267, 8429, 998, 519, 2016, 1448, 267, 609, 3268, 3254, 269, 1280, 5373, 3515, 267, 946, 519, 24275, 9498, 269, 8058, 27491, 780, 1012, 12307, 540, 513, 23155, 543, 3131, 12993, 7412, 692, 13640, 5537, 543, 13902, 1899, 9498, 269, 901, 9498, 1265, 543, 4729, 4834, 540, 6252, 543, 13902, 547, 519, 2016, 1899, 543, 10596, 998, 2016, 1448, 269, 634, 9498, 786, 5352, 513, 1900, 8386, 9912, 7778, 593, 875, 547, 3489, 519, 1267, 780, 4178, 269, 4118, 1636, 531, 3820, 270, 20412, 2209, 270, 534, 24608, 268, 613, 5852, 692, 1012, 14419, 1403, 17817, 1772, 23155, 2107, 2560, 692, 1240, 270, 4905, 270, 1708, 272, 1109, 6440, 1411, 666, 1246, 519, 3268, 2630, 585, 12719, 519, 3830, 540, 513, 6252, 1899, 269, 3689, 267, 596, 991, 519, 4542, 540, 519, 1101, 1899, 596, 616, 2469, 547, 581, 6252, 547, 269, 901, 2115, 547, 581, 538, 519, 1106, 540, 586, 815, 544, 343, 1341, 536, 267, 1141, 544, 568, 519, 9386, 267, 543, 536, 568, 519, 586, 18448, 540, 602, 1899, 269, 8921, 267, 596, 991, 547, 2560, 590, 2720, 320, 281, 9498, 28482, 611, 5519, 270, 1706, 5537, 11060, 23343, 1529, 1807, 270, 692, 1012, 4855, 513, 23155, 7412, 3414, 513, 8672, 1107, 18185, 692, 288, 9498, 547, 1265, 519, 3830, 540, 513, 1899, 602, 568, 6252, 547, 1776, 1899, 543, 8429, 998, 513, 1448, 269, 17817, 540, 513, 7412, 23155, 547, 6271, 7412, 543, 3414, 513, 1448, 623, 634, 9386, 8096, 544, 8096, 540, 1899, 700, 2016, 676, 519, 3830, 8096, 288, 1535, 1341, 645, 586, 815, 595, 15478, 568, 2016, 676, 8096, 332, 815, 1107, 546, 2765, 31505, 2410, 289, 4153, 259, 1403, 1079, 3515, 616, 6252, 267, 741, 19527, 616, 3160, 780, 4178, 269, 534, 3315, 345, 655, 987, 2593, 270, 15612, 2209, 318, 273, 270, 13640, 5537, 318, 18118, 318, 9773, 11258, 692, 1012, 6732, 9498, 281, 23155, 543, 13902, 2560, 692, 1789, 270, 5881, 270, 1001, 272, 1109, 6440, 901, 2228, 9498, 11974, 3515, 8072, 19527, 547, 1294, 952, 789, 616, 6252, 610, 13902, 269, 1268, 318, 719, 1467, 7033, 584, 8430, 476, 1001, 272, 268, 5881, 268, 1789, 476, 5400, 281, 7367, 281, 6349, 269, 634, 9386, 25435, 3830, 666, 5581, 519, 1899, 593, 513, 7077, 269, 14597, 649, 723, 1079, 3515, 609, 4834, 543, 1547, 1280, 3515, 547, 581, 6252, 621, 568, 2877, 602, 780, 17839, 564, 5632, 322, 2593, 270, 13975, 270, 692, 1012, 6732, 9498, 281, 23155, 543, 3131, 12993, 20514, 692, 1789, 270, 5881, 270, 1001, 272, 1109, 6440, 23155, 543, 3131, 12993, 20514, 901, 2228, 9498, 11974, 3515, 8072, 19527, 547, 1294, 952, 789, 616, 6252, 610, 13902, 1268, 318, 719, 1467, 7033, 584, 8430, 476, 1001, 272, 268, 5881, 268, 1789, 476, 5400, 281, 2767, 281, 4391, 692, 17839, 564, 5632, 322, 2593, 270, 20385, 270, 692, 1012, 476, 273, 20514, 28249, 18185, 692, 1765, 9373, 7412, 476, 272, 17817, 1700, 9373, 7412, 476, 273, 17817, 630, 21671, 952, 596, 616, 711, 10296, 32437, 2020, 4178, 269, 4118, 576, 14896, 640, 2593, 270, 1706, 704, 335, 21703, 692, 1012, 1215, 547, 14419, 1403, 5565, 20514, 3657, 23155, 610, 2560, 692, 2005, 568, 1419, 519, 2013, 602, 950, 596, 4020, 3515, 267, 1079, 3515, 949, 1413, 6252, 610, 13902, 267, 950, 538, 1249, 789, 5749, 1406, 269, 2983, 334, 22913, 593, 519, 30263, 268, 10019, 9578, 24275, 9498, 666, 3313, 2436, 3515, 616, 6252, 610, 13902, 585, 596, 269, 1677, 1205, 2983, 334, 22913, 547, 3313, 952, 1079, 3515, 616, 13902, 610, 6252, 267, 1246, 891, 3268, 281, 8564, 15431, 6540, 4178, 6155, 27186, 2593, 270, 25531, 17320, 1429, 532, 23343, 1529, 2209, 0, 2971, 3629, 8827, 1280, 681, 6185, 2529, 327, 12609, 13174, 4147, 476, 1321, 3848, 476, 866, 17386, 6715, 23552, 11644, 476, 866, 269, 272, 7726, 476, 2918, 13174, 30930, 8827, 780, 12585, 281, 7445, 7032, 910, 273, 6911, 295, 842, 281, 2422, 22543, 9548, 4542, 1287, 2322, 519, 3970, 547, 4194, 713, 7533, 692, 11693, 281, 4399, 842, 3709, 271, 23685, 2765, 3189, 7032, 25452, 273, 3686, 343, 3867, 273, 4153, 7562, 1535, 11459, 6911, 11405, 281, 7445, 842, 3709, 271, 23685, 2765, 3189, 7032, 25452, 273, 3686, 343, 3867, 273, 4153, 7562, 1535, 11459, 6911, 18204, 7992, 676, 2694, 18092, 4131, 1109, 1109, 259, 343, 3867, 273, 4151, 581, 519, 1101, 851, 543, 5609, 1535, 581, 519, 476, 273, 526, 851, 692, 17961, 25410, 348, 17851, 343, 3867, 273, 348, 1422, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 1422, 7562, 1535, 546, 1535, 10559, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 14990, 3847, 315, 3189, 2765, 18097, 1535, 3867, 273, 12453, 11459, 348, 1422, 842, 1422, 7562, 1535, 546, 1535, 9368, 315, 348, 546, 1535, 8607, 1299, 7807, 3847, 20572, 3867, 273, 348, 8987, 315, 6523, 1535, 9385, 2431, 316, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 10559, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 476, 273, 1535, 8987, 315, 6523, 1535, 264, 546, 1535, 1422, 754, 25410, 348, 1109, 29894, 29894, 29894, 7545, 5231, 1109, 7445, 3847, 1496, 1422, 842, 1422, 7562, 1535, 11459, 284, 10559, 6523, 1535, 1422, 2431, 9948, 6911, 17961, 25410, 348, 17851, 10559, 3847, 20572, 3867, 273, 32710, 6523, 1535, 9385, 2431, 316, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 266, 273, 1422, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 1535, 1422, 6523, 1535, 546, 1535, 8607, 17851, 10559, 3847, 24560, 3847, 7268, 2765, 3189, 7032, 2410, 273, 4153, 2431, 22722, 273, 348, 1422, 6523, 1422, 2765, 3189, 7032, 2410, 273, 18511, 271, 3867, 273, 348, 1422, 6523, 476, 271, 9368, 27994, 273, 1422, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 1535, 1422, 6523, 1535, 546, 1535, 8607, 17851, 10559, 3847, 24560, 2765, 3189, 7032, 3867, 273, 12453, 275, 348, 1422, 9392, 476, 271, 268, 271, 9368, 27994, 273, 13375, 20572, 1422, 842, 1422, 6523, 1535, 546, 1535, 9368, 316, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 268, 273, 1422, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 14990, 3847, 24560, 2765, 18097, 3287, 20972, 323, 1535, 348, 1422, 842, 1422, 6523, 1535, 546, 1535, 9368, 316, 546, 1535, 1422, 754, 25410, 348, 18987, 18987, 7673, 3396, 1109, 4399, 3847, 1496, 1422, 842, 1422, 6523, 1535, 11459, 7807, 7562, 1535, 1422, 2431, 9948, 6911, 259, 284, 273, 20572, 7268, 7562, 1535, 13580, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 268, 273, 1422, 842, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 476, 272, 1422, 7562, 1535, 546, 1535, 6911, 10490, 326, 664, 1210, 5610, 676, 2694, 1505, 2020, 7445, 8218, 15204, 2410, 961, 348, 815, 273, 13375, 24560, 2765, 3189, 7032, 2410, 273, 348, 1422, 7562, 1422, 2765, 3189, 7032, 2410, 273, 18511, 271, 1422, 9392, 1422, 7562, 476, 271, 9368, 316, 268, 273, 314, 10559, 6523, 1535, 316, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 1299, 11513, 3847, 24560, 842, 1422, 7562, 1535, 546, 1535, 284, 10559, 6523, 1535, 9368, 316, 348, 8607, 815, 273, 13375, 24560, 2765, 3189, 7032, 2410, 273, 348, 1422, 9392, 476, 272, 268, 271, 9368, 27994, 273, 24560, 6523, 1535, 316, 3709, 271, 23685, 2765, 3189, 7032, 2410, 273, 3686, 1299, 11513, 3847, 24560, 7562, 1422, 2765, 3189, 7032, 2410, 273, 13157, 272, 267, 1422, 7562, 476, 271, 284, 271, 9368, 316, 348, 1422, 754, 15204, 10592, 17961, 25410, 348, 1299, 7807, 7032, 266, 273, 13375, 24560, 6523, 1422, 2765, 3189, 7032, 2410, 273, 32757, 6523, 476, 271, 9368, 316, 8607, 1299, 7807, 7032, 266, 273, 314, 271, 268, 272, 316, 8607, 1299, 7807, 7032, 268, 273, 1422, 754, 25410, 348, 18987, 18987, 18987, 18987, 24748, 1109, 7445, 3847, 24560, 8218, 15204, 2410, 322, 348, 1422, 6523, 1422, 2765, 3189, 7032, 2410, 273, 13157, 271, 8607, 1422, 6523, 476, 271, 284, 272, 1422, 754, 15204, 4153, 2431, 316, 259 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 2966, 607, 3020, 693, 519, 942, 789, 616, 2808, 269, 3973, 519, 4674, 547, 16355, 557, 873, 5956, 269, 1717, 267, 713, 666, 1305, 519, 5748, 585, 519, 3069, 540, 4720, 547, 581, 7608, 607, 4641, 269, 1403, 649, 5749, 1406, 6297, 267, 649, 1265, 6000, 11207, 24760, 883, 519, 967, 24934, 337, 1588, 540, 875, 649, 782, 7960, 269, 2334, 972, 729, 513, 2462, 29907, 602, 3323, 3388, 269, 898, 568, 6026, 538, 938, 3506, 607, 519, 1152, 1259, 267, 711, 1175, 835, 540, 519, 2081, 269, 2755, 649, 1810, 1406, 1589, 713, 568, 1271, 267, 621, 4249, 513, 3978, 1909, 538, 945, 649, 1831, 267, 875, 649, 1589, 267, 543, 875, 649, 3310, 1866, 1310, 721, 780, 1607, 949, 3100, 1507, 547, 721, 1317, 649, 723, 513, 1272, 547, 2661, 543, 649, 616, 782, 1360, 11112, 2713, 621, 269, 1809, 519, 3069, 540, 4720, 568, 835, 2427, 540, 519, 1650, 269, 4208, 1058, 649, 711, 581, 2016, 1312, 286, 4208, 616, 972, 1346, 602, 1152, 1616, 721, 547, 1589, 835, 1259, 2496, 7069, 4161, 547, 1142, 540, 721, 568, 547, 2243, 1946, 2048, 14396, 685, 568, 711, 849, 1031, 538, 16355, 1324, 1018, 568, 2854, 538, 519, 6426, 286, 634, 3069, 602, 2048, 11004, 729, 513, 17082, 10200, 634, 3069, 602, 2048, 24160, 568, 5111, 476, 20981, 271, 1296, 2025, 286, 685, 4208, 711, 4001, 713, 2139, 1344, 538, 938, 3506, 269, 4208, 616, 891, 6436, 16934, 286, 4208, 711, 1450, 1142, 540, 721, 547, 3313, 585, 6000, 1018, 649, 1131, 899, 547, 16833, 938, 6186, 779, 1472, 267, 1018, 3069, 547, 1747, 938, 5132, 538, 2496, 2026, 649, 960, 1524, 713, 1592, 540, 7399, 607, 4843, 693, 519, 4098, 540, 519, 6426, 267, 1210, 2139, 2257, 267, 543, 3621, 4681, 267, 1287, 10747, 1883, 3631, 1472, 891, 24300, 267, 649, 786, 2119, 547, 1294, 519, 824, 2427, 540, 519, 6956, 855, 711, 1419, 5143, 1650, 780, 2108, 1729, 581, 4797, 10640, 258, 3163, 543, 2696, 1107, 3281, 26702, 610, 1109, 8253, 2496, 3383, 1454, 666, 581, 1767, 593, 713, 1888, 269, 594, 849, 1265, 1082, 2053, 621, 779, 2182, 547, 1265, 519, 5168, 269, 1924, 1419, 649, 1745, 649, 723, 6170, 3978, 942, 14236, 543, 3257, 1382, 267, 2523, 538, 519, 2257, 1158, 267, 543, 1317, 540, 713, 267, 649, 723, 606, 6644, 602, 649, 1745, 568, 23610, 269, 1809, 568, 621, 286, 4107, 610, 693, 2547, 1082, 1004, 3494, 602, 2257, 952, 519, 1184, 540, 18445, 1945, 607, 3020, 269, 1879, 538, 4641, 267, 621, 568, 519, 1184, 540, 18445, 513, 3069, 607, 7301, 269, 1403, 649, 2263, 1018, 2257, 2731, 568, 267, 649, 666, 1265, 519, 1739, 2854, 7778, 780, 1892, 634, 7214, 543, 4052, 2534, 21214, 519, 9836, 1353, 540, 2497, 543, 2623, 540, 519, 2168, 543, 2067, 1158, 998, 8343, 543, 4603, 563, 1892, 2353, 3621, 1702, 568, 17895, 894, 543, 1008, 29850, 267, 543, 4986, 568, 3803, 269, 1703, 568, 1100, 971, 3364, 607, 513, 3803, 8810, 1702, 538, 634, 4867, 7608, 3069, 540, 7613, 568, 3274, 519, 1655, 7778, 585, 621, 1851, 782, 2139, 8925, 780, 763, 1101, 8343, 649, 666, 1118, 568, 602, 547, 1353, 519, 9836, 2497, 543, 2623, 540, 519, 2168, 543, 2067, 1158, 998, 8343, 543, 4603, 267, 649, 616, 3908, 547, 1018, 649, 723, 547, 960, 689, 269, 3776, 1702, 568, 1759, 593, 1018, 649, 1451, 689, 1866, 267, 543, 849, 1018, 649, 1451, 689, 938, 1378, 3646, 269, 898, 568, 1759, 593, 1018, 649, 723, 547, 1376, 609, 610, 1018, 649, 1095, 6269, 846, 941, 519, 2175, 269, 1284, 723, 938, 3618, 799, 649, 666, 1118, 1999, 5209, 20250, 267, 519, 7122, 799, 649, 666, 1118, 930, 1999, 5209, 20250, 267, 855, 1454, 540, 621, 568, 14553, 513, 2009, 8343, 269, 4635, 519, 3621, 2262, 267, 513, 2048, 763, 800, 10200, 692, 1432, 1223, 723, 1044, 1114, 1394, 693, 519, 4098, 540, 3388, 286, 1403, 649, 2731, 1616, 547, 2744, 606, 1620, 540, 713, 267, 649, 1058, 1491, 883, 2272, 782, 1344, 2139, 547, 721, 269, 1284, 849, 991, 547, 5431, 8343, 1297, 1079, 1657, 281, 2048, 718, 3621, 1702, 568, 17895, 894, 543, 1008, 29850, 692, 2252, 649, 1491, 1312, 7422, 883, 7156, 267, 649, 1223, 8275, 602, 950, 1919, 782, 3893, 741, 1376, 267, 602, 3388, 729, 1114, 982, 1018, 649, 1294, 543, 1174, 2221, 269, 2368, 3744, 2995, 721, 602, 3388, 3323, 689, 4986, 269, 1717, 267, 594, 917, 540, 4986, 4767, 4947, 689, 4986, 269, 901, 3762, 713, 607, 14553, 513, 3069, 543, 1058, 2760, 581, 7608, 607, 606, 6207, 1249, 269, 1284, 5873, 689, 519, 2257, 1158, 602, 513, 2048, 19136, 4425, 558, 685, 568, 3743, 269, 1703, 568, 519, 2048, 21803, 7869, 685, 543, 824, 6436, 602, 616, 1759, 593, 1945, 689, 4986, 267, 855, 1142, 2115, 1945, 547, 581, 513, 14323, 3069, 269, 1924, 1141, 1705, 713, 1945, 2097, 689, 2496, 28646, 952, 649, 3576, 883, 2272, 1018, 729, 5143, 547, 721, 538, 519, 1101, 1906, 1913, 540, 519, 6426, 267, 649, 1223, 1265, 2009, 4267, 547, 1082, 1919, 4767, 269, 901, 1131, 1689, 875, 938, 6580, 540, 1919, 1336, 593, 3618, 616, 711, 2953, 269, 901, 568, 849, 6462, 676, 1169, 3621, 3069, 4843, 267, 602, 3388, 4767, 2221, 729, 1114, 538, 519, 2250, 269, 4208, 1131, 649, 946, 2221, 779, 11626, 2175, 547, 4266, 1919, 649, 8263, 616, 6634, 540, 1296, 2025, 269, 634, 2175, 941, 1114, 269, 1403, 649, 8415, 1022, 540, 519, 10172, 3157, 267, 621, 568, 1759, 593, 519, 3368, 4458, 21658, 267, 543, 713, 568, 1759, 593, 2175, 649, 7747, 2221, 780, 763, 2243, 594, 1131, 15974, 547, 3025, 568, 1018, 568, 519, 8404, 547, 23868, 2696, 607, 513, 2009, 17082, 267, 519, 835, 602, 1305, 3388, 538, 5163, 286, 6884, 594, 1589, 602, 1004, 616, 865, 2143, 538, 741, 3206, 602, 789, 3398, 1152, 1018, 789, 666, 1294, 543, 1174, 269, 1924, 1082, 1810, 1406, 899, 519, 2856, 540, 2576, 1373, 3152, 982, 2933, 269, 4475, 267, 519, 3408, 540, 519, 2856, 270, 1492, 800, 602, 2696, 568, 1483, 267, 9001, 2257, 267, 568, 3622, 711, 2322, 547, 519, 1449, 267, 4849, 676, 513, 1906, 269, 1717, 267, 547, 1250, 1702, 2257, 814, 2760, 16355, 1386, 513, 3069, 602, 2696, 568, 519, 17082, 269, 769, 4641, 267, 519, 3069, 540, 519, 2048, 19136, 4425, 558, 610, 21642, 7869, 16224, 1869, 3340, 602, 2576, 610, 1945, 2322, 891, 3364, 538, 5163, 780, 1607, 3762, 721, 693, 513, 1448, 2221, 602, 952, 596, 3112, 16355, 557, 621, 267, 621, 1058, 581, 4767, 607, 513, 1249, 2394, 2576, 3116, 666, 16355, 557, 621, 269, 901, 568, 1250, 1620, 540, 968, 18128, 1828, 685, 543, 1946, 621, 568, 5156, 676, 865, 1082, 607, 519, 7778, 547, 875, 3388, 3459, 269, 1809, 7227, 267, 952, 594, 3112, 16355, 557, 4720, 267, 543, 594, 3112, 16355, 557, 2696, 267, 1287, 1312, 616, 3020, 269, 9320, 2696, 1705, 1376, 3388, 543, 8246, 3029, 540, 4720, 936, 519, 1296, 607, 851, 540, 3571, 1544, 269, 3733, 6644, 568, 602, 2696, 568, 519, 6574, 26831, 540, 782, 942, 267, 543, 538, 865, 1082, 2081, 267, 2257, 5170, 547, 6961, 713, 269, 5221, 1100, 835, 814, 2938, 2696, 267, 543, 1100, 835, 814, 4767, 519, 8262, 10854, 8345, 782, 676, 3294, 269, 3973, 594, 3494, 602, 713, 11479, 519, 1739, 3932, 269, 898, 3217, 5132, 547, 3398, 2901, 269, 594, 7058, 621, 568, 513, 2243, 540, 1384, 258, 1548, 568, 968, 23871, 3578, 10640, 1103, 519, 1158, 540, 3163, 267, 18321, 267, 543, 15215, 267, 649, 666, 1265, 6000, 6849, 519, 26832, 4305, 540, 8159, 1018, 519, 1483, 968, 23871, 3578, 892, 568, 269, 1677, 1491, 513, 1483, 6662, 2070, 540, 519, 2243, 267, 968, 6343, 568, 519, 5168, 2223, 649, 991, 547, 2697, 1018, 649, 1174, 1142, 6763, 585, 780, 9223, 835, 281, 1548, 568, 15215, 2496, 2005, 568, 519, 3661, 538, 2696, 267, 513, 5601, 267, 610, 538, 513, 1895, 540, 10971, 269, 898, 568, 519, 3919, 540, 4978, 267, 18428, 267, 543, 3652, 1031, 547, 10847, 2696, 267, 513, 5601, 610, 1895, 540, 10971, 269, 898, 568, 606, 1719, 267, 3661, 267, 610, 2534, 602, 568, 1360, 1271, 547, 513, 1268, 610, 513, 1895, 540, 1004, 780, 9223, 5565, 281, 1548, 568, 18321, 2496, 2005, 568, 513, 2178, 3661, 610, 11565, 538, 2576, 610, 1945, 269, 898, 568, 513, 3661, 538, 519, 6228, 540, 2696, 610, 513, 2178, 3909, 4743, 540, 938, 4978, 269, 898, 568, 513, 1062, 540, 3909, 4978, 780, 9223, 1614, 281, 1548, 568, 3163, 2496, 2005, 568, 1702, 827, 610, 1353, 540, 519, 2067, 1158, 1759, 593, 5013, 4121, 998, 6901, 543, 7422, 269, 898, 568, 513, 1880, 1858, 540, 1353, 267, 971, 607, 7350, 267, 6323, 267, 7998, 267, 610, 1022, 1880, 7936, 540, 2257, 269, 898, 568, 513, 1641, 602, 568, 18005, 6594, 538, 1153, 267, 2852, 267, 543, 9945, 780, 17954, 1136, 1524, 519, 1883, 1614, 2609, 602, 1404, 971, 513, 1713, 1909, 538, 945, 649, 616, 267, 1018, 649, 1831, 267, 875, 649, 3494, 267, 543, 875, 649, 2746, 547, 3871, 538, 1272, 267, 649, 1265, 602, 789, 782, 3444, 1018, 649, 1522, 1289, 968, 20129, 2456, 540, 1272, 1848, 3163, 4249, 971, 513, 2565, 1909, 538, 938, 2729, 269, 898, 814, 4359, 519, 2564, 1158, 547, 2157, 835, 3006, 6763, 538, 993, 10270, 618, 540, 269, 634, 12957, 1158, 267, 543, 1034, 1271, 547, 1034, 540, 721, 267, 519, 10618, 1158, 269, 634, 13120, 540, 519, 11436, 267, 16389, 267, 5904, 267, 1519, 519, 4950, 267, 814, 4957, 2729, 269, 1284, 24440, 513, 4087, 543, 3972, 602, 649, 786, 12446, 693, 602, 1747, 952, 649, 1246, 519, 4786, 3177, 269, 1284, 3442, 547, 1747, 938, 5132, 538, 602, 3406, 649, 15748, 269, 1403, 596, 723, 1185, 5949, 547, 596, 1018, 594, 723, 267, 621, 814, 3006, 1044, 3765, 7666, 3660, 267, 543, 594, 8694, 909, 930, 2897, 1114, 982, 9709, 269, 1717, 267, 607, 891, 3156, 4434, 267, 789, 1205, 1732, 693, 13057, 721, 1141, 789, 3494, 596, 616, 4058, 547, 979, 1759, 593, 1018, 596, 941, 10478, 585, 780, 2171, 723, 3989, 513, 2241, 1259, 540, 875, 2257, 543, 5132, 960, 1927, 267, 855, 875, 1281, 4984, 3514, 883, 713, 269, 1403, 4984, 568, 513, 1106, 540, 1719, 267, 3661, 267, 610, 2534, 602, 568, 1271, 547, 721, 267, 1287, 2257, 543, 5132, 1831, 513, 4984, 676, 4214, 269, 1403, 835, 11099, 602, 513, 1808, 1858, 540, 2257, 568, 23610, 267, 610, 602, 513, 1808, 3498, 568, 3501, 267, 1287, 676, 11093, 938, 5132, 538, 621, 267, 621, 3587, 513, 1106, 540, 3909, 3661, 269, 594, 6557, 711, 3843, 547, 7903, 519, 23508, 1934, 267, 594, 6557, 1175, 1210, 875, 1142, 540, 519, 1614, 2609, 540, 1272, 568, 3989, 780, 1432, 568, 1034, 4277, 568, 602, 649, 723, 865, 1082, 968, 9824, 16406, 892, 4978, 538, 713, 1158, 267, 621, 3587, 2182, 547, 5581, 799, 540, 873, 3180, 519, 968, 23871, 3578, 1848, 1284, 723, 865, 1082, 7760, 267, 4681, 630, 18485, 5885, 543, 2258, 908, 1070, 543, 8906, 538, 519, 2257, 1158, 267, 2523, 538, 519, 2127, 540, 945, 649, 616, 543, 875, 3388, 3459, 267, 799, 540, 873, 798, 649, 3180, 607, 968, 23871, 3578, 1848, 901, 2322, 779, 968, 9824, 580, 542, 892, 607, 3989, 1318, 538, 519, 1647, 269, 901, 6770, 721, 1394, 547, 519, 2243, 267, 1018, 568, 968, 15045, 7473, 295, 9495, 692, 8489, 798, 649, 1747, 938, 5132, 286, 1772, 621, 538, 2696, 267, 610, 930, 824, 3989, 4214, 540, 5601, 267, 610, 538, 938, 2257, 779, 543, 875, 789, 616, 3989, 543, 6026, 286, 898, 3217, 5132, 547, 3494, 538, 2696, 267, 610, 1022, 5601, 267, 1175, 607, 621, 3217, 5132, 547, 3494, 538, 1152, 1018, 568, 8810, 676, 2257, 780, 2252, 649, 1413, 693, 2370, 4514, 693, 2257, 267, 649, 1265, 602, 621, 568, 513, 1184, 540, 10747, 513, 3069, 543, 1287, 1210, 3621, 17634, 547, 6961, 519, 3069, 4636, 269, 898, 568, 711, 606, 3801, 547, 6961, 621, 2953, 269, 1403, 621, 3112, 581, 8810, 4636, 267, 621, 666, 1287, 581, 2938, 607, 3020, 609, 1100, 6169, 3297, 621, 2394, 2576, 2501, 2059, 543, 18327, 621, 4636, 269, 18321, 1631, 3587, 513, 2178, 12146, 538, 2257, 269, 2060, 968, 293, 28216, 892, 607, 606, 12146 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15171, 454, 866, 476, 271, 269, 278, 4029, 476, 271, 269, 277, 3451, 910, 476, 271, 269, 7785, 476, 271, 269, 14530, 454, 736, 476, 271, 269, 278, 3953, 476, 271, 269, 26116, 910, 476, 271, 269, 277, 3451, 476, 271, 269, 271, 4200, 454, 2641, 476, 271, 269, 278, 5780, 476, 271, 269, 10384, 910, 476, 271, 269, 26116, 476, 271, 269, 1911, 454, 2420, 476, 271, 269, 279, 7761, 476, 271, 269, 278, 3451, 910, 476, 271, 269, 10384, 476, 271, 269, 15094, 454, 2537, 476, 271, 269, 9262, 277, 476, 271, 269, 278, 5780, 910, 476, 271, 269, 278, 3451, 476, 271, 269, 16960, 454, 2190, 476, 271, 269, 279, 4281, 476, 271, 269, 8517, 910, 476, 271, 269, 278, 5780, 476, 271, 269, 12208, 454, 1839, 476, 271, 269, 6434, 274, 476, 271, 269, 279, 3451, 910, 476, 271, 269, 8517, 476, 271, 269, 5400, 274, 454, 2918, 476, 271, 269, 3445, 272, 476, 271, 269, 279, 5780, 910, 476, 271, 269, 279, 3451, 476, 271, 269, 6187, 279, 454, 2767, 476, 271, 269, 280, 1704, 476, 271, 269, 12010, 910, 476, 271, 269, 279, 5780, 476, 271, 269, 4962, 272, 454, 2764, 476, 271, 269, 9032, 275, 476, 271, 269, 280, 3451, 910, 476, 271, 269, 12010, 476, 271, 269, 5881, 275, 454, 3066, 476, 271, 269, 280, 6434, 476, 271, 269, 280, 5780, 910, 476, 271, 269, 280, 3451, 476, 271, 269, 271, 4649, 454, 1789, 476, 271, 269, 4200, 278, 476, 272, 269, 1822, 476, 271, 269, 19740, 476, 271, 269, 280, 5780, 476, 271, 269, 31648, 692, 259, 291, 317, 266, 815, 3193, 3709, 272, 1422, 548, 1775, 1422, 548, 476, 1789, 348, 1422, 3847, 315, 3189, 2765, 346, 328, 2410, 301, 18511, 305, 3709, 263, 328, 264, 4153, 2431, 315, 13157, 271, 269, 271, 5325, 6911, 259, 291, 28260, 31386, 10946, 23214, 272, 1422, 19008, 1775, 1422, 19008, 476, 1789, 4153, 3847, 28381, 305, 3709, 328, 32757, 2765, 346, 328, 268, 272, 2410, 301, 4153, 2431, 315, 348, 815, 476, 271, 269, 15094, 6911, 17961, 25410, 348, 1422, 11004, 1150, 667, 17851, 3193, 20573, 317, 31956, 667, 28260, 264, 8607, 17851, 3193, 263, 271, 269, 271, 5325, 267, 476, 271, 269, 15094, 264, 8607, 17851, 476, 271, 269, 15094, 1422, 754, 25410, 10926, 27287, 1871, 1269, 291, 29192, 10401, 259, 585, 4399, 10401, 815, 476, 271, 269, 4962, 1422, 3667, 346, 540, 7684, 715, 815, 476, 1789, 6911, 259, 291, 3709, 271, 269, 4962, 267, 476, 1789, 348, 815, 476, 271, 269, 2190, 6911, 7712, 1269, 291, 815, 476, 271, 269, 15094, 1422, 2741, 667, 3709, 271, 269, 4962, 267, 476, 1789, 348, 815, 476, 271, 269, 2190, 6911, 7445, 11004, 1150, 670, 318, 271, 1422, 3667, 346, 568, 711, 15653, 476, 4151, 0, 2162, 476, 274, 269, 21172, 272, 6695, 842, 1422, 2765, 346, 272, 7346, 6912, 18097, 266, 324, 1535, 348, 1422, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 3686, 22773, 15848, 9681, 18893, 2711, 269, 23516, 2450, 284, 7367, 1269, 10559, 2765, 3189, 6912, 346, 273, 348, 1422, 11927, 327, 476, 13064, 272, 4153, 3847, 22570, 2765, 3189, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 24828, 6912, 346, 273, 348, 1422, 6912, 18097, 348, 1422, 6912, 18097, 266, 324, 1535, 14990, 2431, 3738, 7346, 6912, 18097, 348, 552, 10592, 314, 11073, 6540, 268, 9230, 306, 5720, 314, 273, 30297, 6635, 322, 307, 534, 327, 314, 306, 5720, 314, 323, 317, 273, 1109, 268, 1109, 324, 317, 273, 20080, 317, 273, 316, 14370, 306, 5720, 314, 273, 30297, 306, 5720, 314, 323, 30297, 306, 5720, 314, 323, 1109, 266, 1109, 324, 20080, 8079, 8079, 14370, 306, 5720, 314, 323, 30297, 324, 11723, 21228, 21228, 6303, 3071, 692, 305, 889, 328, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 271, 2190, 6200, 280, 267, 1884, 3187, 29719, 2450, 815, 476, 7367, 267, 28348, 2450, 540, 1884, 3187, 29719, 815, 476, 272, 1421, 1297, 540, 3268, 1031, 815, 476, 273, 267, 1297, 540, 3652, 1031, 815, 476, 273, 267, 2076, 8681, 2450, 815, 476, 2918, 267, 6695, 2765, 3189, 3667, 346, 15893, 540, 3652, 24828, 3667, 346, 15759, 8681, 2450, 24995, 815, 476, 271, 269, 5881, 278, 267, 16390, 1031, 815, 2715, 5780, 272, 267, 476, 21172, 348, 1269, 10559, 2765, 3189, 6912, 346, 273, 348, 1422, 11927, 327, 476, 13064, 272, 4153, 3847, 22570, 2765, 3189, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 24828, 6912, 346, 273, 348, 1422, 6912, 18097, 348, 1422, 6912, 18097, 266, 324, 1535, 14990, 2431, 3738, 7346, 6912, 18097, 348, 552, 10592, 12901, 3187, 29719, 729, 6707, 2357, 328, 16667, 539, 780, 314, 1103, 6540, 4504, 314, 272, 14370, 306, 5720, 314, 323, 1109, 266, 1109, 324, 20080, 30297, 306, 5720, 314, 323, 317, 273, 1109, 268, 1109, 324, 317, 273, 20080, 317, 273, 25818, 343, 6540, 314, 11073, 6540, 268, 9230, 306, 5720, 314, 273, 30297, 6635, 322, 307, 534, 327, 314, 306, 5720, 314, 323, 317, 273, 1109, 268, 1109, 324, 317, 273, 20080, 317, 273, 316, 14370, 306, 5720, 314, 273, 30297, 306, 5720, 314, 323, 30297, 306, 5720, 314, 323, 1109, 266, 1109, 324, 20080, 8079, 8079, 14370, 306, 5720, 314, 323, 30297, 324, 11723, 305, 2544, 476, 5780, 272, 692, 4504, 314, 272, 14370, 306, 5720, 27007, 323, 318, 264, 1109, 266, 1109, 16216, 318, 4700, 16732, 343, 318, 13580, 265, 306, 5720, 27007, 320, 318, 264, 1109, 266, 1109, 6262, 318, 4700, 16732, 343, 318, 8203, 273, 25818, 1109, 343, 318, 15228, 2513, 316, 1109, 281, 285, 1109, 18850, 314, 273, 265, 324, 267, 1109, 27802, 314, 4504, 314, 272, 14370, 273, 265, 322, 265, 323, 1109, 266, 1109, 324, 317, 273, 20080, 317, 273, 454, 1070, 1109, 343, 3910, 1109, 343, 267, 1109, 306, 5720, 314, 320, 1109, 266, 1109, 322, 20080, 317, 273, 316, 270, 306, 5720, 314, 323, 1109, 266, 1109, 324, 20080, 316, 3910, 1109, 343, 316, 1109, 270, 282, 1109, 10403, 304, 314, 346, 320, 267, 1109, 322, 267, 1109, 323, 267, 1109, 324, 9574, 1109, 343, 316, 1109, 261, 261, 1109, 292, 336, 304, 314, 322, 265, 323, 317, 273, 1109, 266, 1109, 320, 265, 324, 317, 273, 267, 1109, 271, 6540, 305, 2544, 476, 21172, 692, 4504, 314, 9230, 320, 318, 264, 1109, 266, 1109, 6357, 318, 4700, 16732, 343, 318, 8203, 273, 8203, 8987, 272, 1070, 1109, 343, 318, 15228, 2513, 316, 1109, 281, 285, 1109, 8245, 335, 27007, 305, 339, 15631, 263, 320, 11486, 1070, 1109, 273, 30297, 6635, 322, 307, 534, 327, 20572, 24250, 339, 15631, 263, 320, 11486, 1070, 1109, 273, 316, 8079, 270, 320, 267, 1109, 343, 316, 1109, 270, 282, 1109, 10403, 304, 314, 346, 320, 2676, 321, 9574, 1109, 343, 316, 1109, 261, 261, 1109, 27078, 304, 314, 320, 11486, 6540, 305, 889, 328, 3268, 692, 17961, 9387, 15857, 1422, 842, 1422, 2765, 346, 272, 7346, 6912, 18097, 266, 324, 1535, 348, 1422, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 3686, 22773, 15848, 1299, 14352, 273, 552, 264, 1422, 28072, 4067, 346, 27802, 4153, 3847, 22570, 842, 1422, 2765, 346, 272, 2410, 268, 273, 546, 552, 317, 273, 266, 324, 317, 273, 1535, 317, 273, 348, 22773, 15848, 21726, 12101, 2765, 3189, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 24828, 6912, 18097, 266, 324, 1535, 14990, 2431, 3738, 11138, 17851, 10559, 2765, 3189, 6912, 346, 273, 348, 1422, 11927, 327, 476, 13064, 272, 4153, 3847, 22570, 2765, 3189, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 24828, 6912, 346, 273, 348, 1422, 6912, 18097, 348, 1422, 6912, 18097, 266, 324, 1535, 14990, 2431, 3738, 7346, 6912, 18097, 348, 552, 27874, 1422, 754, 9387, 265, 10926, 12385, 11490, 320, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 4962, 272, 276, 1704, 273, 267, 2450, 815, 476, 7367, 267, 28348, 2450, 815, 476, 272, 269, 1269, 10559, 2765, 3189, 6912, 346, 273, 348, 1422, 11927, 327, 476, 13064, 272, 4153, 3847, 22570, 2765, 3189, 6912, 18097, 317, 273, 3887, 317, 273, 1535, 317, 273, 24828, 6912, 346, 273, 348, 1422, 6912, 18097, 348, 1422, 6912, 18097, 266, 324, 1535, 14990, 2431, 3738, 7346, 6912, 18097, 348, 552, 10592, 12901, 3187, 29719, 729, 6707, 2357, 328, 16667, 539, 780, 314, 1103, 6540, 18204, 3433, 314, 272, 14370, 306, 5720, 314, 323, 1109, 266, 1109, 324, 20080, 30297, 306, 5720, 314, 323, 317, 273, 1109, 268, 1109, 324, 317, 273, 20080, 317, 273, 25818, 343, 6540, 314, 11073, 6540, 268, 9230, 306, 5720, 314, 273, 30297, 6635, 322, 307, 534, 327, 314, 306, 5720, 314, 323, 317, 273, 1109, 268, 1109, 324, 317, 273, 20080, 317, 273, 316, 14370, 306, 5720, 314, 273, 30297, 306, 5720, 314, 323, 30297, 306, 5720, 314, 323, 1109, 266, 1109, 324, 20080, 8079, 8079, 14370, 306, 5720, 314, 323, 30297, 324, 11723, 21228, 21228, 6303, 3071, 692, 300, 18393, 1496, 288, 316, 1109, 942, 815, 476, 271, 269, 13932, 267, 2450, 815, 476, 6812, 267, 28348, 2450, 815, 476, 272, 269, 272, 1422, 8218, 9387, 15857, 910, 3189, 2765, 3189, 6912, 346, 273, 12453, 324, 4153, 6912, 24877, 346, 324, 8703, 273, 2410, 343, 8703, 273, 15396, 346, 323, 8703, 273, 24828, 527, 3203, 534, 327, 348, 1422, 3847, 630, 3189, 2765, 3189, 6912, 346, 273, 12453, 273, 4153, 6912, 24877, 1410, 266, 323, 7346, 2765, 346, 272, 7346, 6912, 18097, 3686, 3686, 1422, 2431, 3738, 3189, 2765, 346, 272, 7346, 6912, 346, 1410, 266, 323, 3686, 7346, 2765, 346, 272, 7346, 6912, 24877, 1410, 266, 323, 3686, 7346, 2765, 346, 272, 7346, 6912, 18097, 3686, 3686, 1422, 754, 9387, 265, 10926, 19723, 328, 16667, 322, 566, 540, 1884, 3187, 29719, 568, 711, 4867, 8045, 585, 713, 31909, 780, 314, 1103, 6540, 842, 263, 272, 14370, 324, 20080, 266, 323, 8203, 263, 272, 270, 273, 8358, 8987, 324, 317, 273, 20080, 317, 273, 266, 323, 317, 273, 8203, 263, 272, 270, 273, 1070, 343, 2020, 314, 11073, 6540, 268, 272, 14370, 324, 20080, 266, 323, 8203, 263, 272, 270, 273, 12684, 8987, 324, 317, 273, 20080, 317, 273, 266, 323, 317, 273, 8203, 263, 272, 270, 273, 8358, 8987, 324, 20080, 266, 323, 8203, 263, 272, 270, 273, 8358, 324, 265, 273, 22677, 272, 270, 273, 8358, 323, 22677, 272, 270, 273, 12684, 541, 551, 534, 327, 263, 272, 270, 273, 265, 8987, 324, 20080, 266, 323, 8203, 263, 272, 270, 273, 12684, 273, 22677, 272, 270, 273, 8358, 323, 22677, 272, 454, 270, 273, 11723, 21228, 21228, 6303, 3071, 692, 16655, 9874, 1496, 293, 316, 1109, 942, 815, 476, 271, 1421, 2450, 815, 476, 271, 267, 28348, 2450, 815, 476, 271, 269, 1422, 8218, 9387, 15857, 1422, 842, 1422, 2765, 346, 272, 7346, 6912, 24877, 324, 3867, 273, 348, 1535, 3867, 273, 348, 1341, 546, 3867, 273, 3686, 1422, 6912, 346, 324, 1535, 1341, 546, 14990, 267, 346, 323, 1535, 348, 1422, 754, 9387, 265, 10926, 19723, 328, 16667, 322, 566, 540, 1884, 3187, 29719, 568, 711, 4867, 8045, 585, 713, 31909, 780, 314, 1103, 6540, 15759, 3433, 263, 272, 14370, 324, 20080, 266, 323, 8203, 263, 272, 270, 273, 8358, 8987, 324, 317, 273, 20080, 317, 273, 266, 323, 317, 273, 8203, 263, 272, 270, 273, 1070, 343, 267, 1109, 14607, 3596, 332, 6889, 10946, 9874, 15419, 314, 11073, 6540, 15759, 3433, 263, 272, 14370, 6912, 8987, 324, 317, 273, 20080, 317, 273, 1109, 266, 1109, 323, 317, 273, 12684, 6912, 16216, 20080, 1109, 266, 1109, 323, 24270, 1109, 343, 2020, 21228, 21228, 6303, 3071, 692, 293, 878, 553, 1496, 288, 316, 1109, 942, 815, 476, 272, 269, 279, 8064, 3374, 267, 2450, 815, 476, 18357, 267, 28348, 2450, 815, 476, 277, 269, 275, 1422, 8218, 9387, 15857, 1422, 3847, 1496, 315, 2765, 3189, 6912, 346, 273, 348, 1422, 8421, 1422, 3847, 630, 10559, 2765, 346, 324, 3867, 273, 348, 1535, 3867, 273, 348, 910, 476, 273, 22773, 546, 552, 1535, 1341, 476, 273, 22773, 1422, 6912, 346, 273, 348, 1422, 6912, 24877, 324, 3867, 273, 348, 1535, 3867, 273, 348, 1341, 546, 3867, 273, 3686, 1422, 6912, 346, 324, 1535, 1341, 546, 348, 1422, 6912, 18097, 348, 910, 476, 274, 22773, 546, 3867, 273, 12453, 324, 3867, 273, 348, 1535, 3867, 273, 348, 1341, 476, 273, 22773, 546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2034, 267, 855, 519, 9623, 789, 2285, 1131, 2306, 1312, 6898, 6190, 780, 265, 3633, 3951, 265, 2542, 519, 3137, 519, 1866, 5795, 267, 649, 667, 2177, 31415, 917, 952, 21541, 962, 3576, 1055, 899, 513, 15177, 1287, 11074, 585, 12899, 267, 610, 952, 789, 2267, 2213, 693, 476, 4649, 782, 519, 1259, 780, 296, 6415, 4636, 609, 667, 267, 594, 1589, 563, 17445, 528, 454, 16274, 281, 476, 5400, 4924, 476, 1220, 278, 454, 15803, 281, 476, 29637, 454, 19613, 281, 1715, 670, 13273, 267, 11632, 454, 27063, 281, 476, 276, 692, 20132, 19560, 476, 1704, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2704, 869, 338, 1413, 585, 2436, 519, 2243, 3081, 3586, 3432, 610, 1175, 3328, 269, 1403, 789, 2285, 3328, 1413, 585, 513, 1808, 2179, 540, 942, 563, 12421, 454, 16274, 281, 476, 736, 7325, 476, 1220, 278, 454, 15803, 281, 476, 277, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 271, 1496, 271, 3910, 2016, 281, 476, 271, 692, 28646, 594, 6415, 2542, 1932, 1454, 883, 713, 855, 782, 3948, 594, 3081, 568, 602, 5721, 2473, 729, 10707, 693, 476, 3583, 332, 874, 950, 621, 1558, 5721, 962, 269, 1809, 1946, 1281, 602, 1611, 621, 729, 10707, 476, 3583, 332, 874, 585, 519, 3003, 476, 273, 327, 3464, 888, 12421, 454, 16274, 281, 476, 2767, 7325, 476, 1220, 278, 454, 15803, 281, 476, 279, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 272, 1496, 271, 3910, 2016, 281, 476, 271, 692, 5445, 5280, 803, 513, 2603, 563, 296, 1589, 594, 786, 979, 585, 519, 2626, 589, 563, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 274, 15535, 12599, 689, 2749, 589, 547, 2749, 645, 2059, 8905, 918, 543, 7024, 2059, 13193, 476, 274, 476, 4029, 4119, 476, 1001, 275, 267, 476, 6734, 281, 1556, 454, 1015, 589, 5721, 14612, 689, 13749, 589, 547, 13749, 645, 693, 606, 3328, 3432, 540, 476, 3199, 476, 278, 476, 6860, 9947, 476, 1001, 275, 267, 476, 2537, 281, 876, 454, 273, 1215, 2484, 538, 5195, 568, 2749, 589, 689, 2749, 645, 286, 476, 275, 476, 1556, 4924, 476, 1001, 273, 267, 476, 6860, 281, 1015, 454, 307, 1778, 570, 3762, 689, 4884, 589, 585, 4884, 645, 543, 12599, 693, 513, 476, 1556, 476, 1428, 4239, 476, 1220, 277, 267, 476, 1556, 281, 6795, 454, 307, 1778, 570, 3762, 689, 4884, 589, 585, 4884, 645, 543, 12599, 693, 513, 476, 274, 476, 1321, 9484, 476, 1220, 277, 267, 476, 4962, 281, 6021, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 1012, 4985, 692, 1607, 2022, 3323, 609, 513, 6780, 602, 519, 962, 276, 1453, 693, 2701, 742, 1752, 779, 2199, 1153, 941, 2016, 607, 513, 851, 540, 741, 968, 24618, 267, 6129, 543, 9855, 892, 1888, 269, 4256, 4305, 729, 547, 6445, 538, 513, 7599, 5750, 267, 10916, 519, 3337, 540, 519, 9855, 543, 942, 540, 519, 8343, 1169, 3781, 936, 513, 1974, 540, 835, 3923, 269, 4107, 1453, 8359, 513, 1880, 5662, 630, 2280, 779, 2161, 476, 277, 15014, 264, 547, 2638, 519, 9855, 1169, 3781, 269, 2311, 1101, 267, 519, 7422, 10443, 12347, 630, 777, 691, 689, 519, 17334, 950, 621, 729, 31063, 610, 24925, 1040, 1809, 972, 3357, 513, 1554, 950, 789, 1223, 1100, 3476, 1294, 519, 9855, 693, 476, 277, 15014, 256, 1656, 519, 1985, 3781, 267, 543, 519, 3781, 1310, 602, 621, 3274, 729, 711, 972, 269, 25491, 2496, 8253, 2731, 256, 11569, 267, 519, 9855, 14380, 543, 5036, 693, 519, 1482, 942, 1169, 1554, 269, 898, 5526, 5111, 476, 7367, 3764, 2663, 1169, 1739, 3781, 269, 1656, 1934, 568, 1946, 780, 1012, 476, 272, 269, 7089, 7778, 692, 2026, 649, 1134, 917, 267, 519, 9855, 25057, 519, 3047, 269, 898, 3217, 827, 476, 2764, 2395, 585, 519, 9855, 547, 5858, 1472, 938, 4541, 2899, 269, 2334, 1797, 267, 1169, 3781, 519, 9855, 7575, 4464, 593, 922, 10739, 630, 1492, 4287, 568, 1884, 545, 6674, 3772, 607, 2938, 689, 519, 3345, 24504, 264, 676, 476, 11740, 2433, 476, 2764, 284, 1724, 5232, 780, 19602, 267, 519, 3047, 3085, 1406, 3251, 1869, 267, 621, 29226, 593, 922, 7852, 693, 513, 3432, 540, 476, 11740, 2433, 476, 2190, 327, 815, 476, 1428, 5232, 829, 5662, 780, 3383, 952, 835, 3781, 519, 24319, 12034, 519, 7599, 4473, 693, 513, 1978, 5662, 267, 1287, 519, 1985, 3781, 630, 12898, 519, 3047, 29349, 835, 4838, 264, 646, 786, 723, 547, 7227, 606, 3606, 476, 7367, 3764, 630, 1724, 281, 1428, 264, 547, 1294, 519, 9855, 4473, 1586, 269, 2334, 1360, 476, 7367, 3764, 602, 519, 3047, 2115, 547, 1118, 513, 476, 1724, 5232, 2490, 547, 6952, 909, 609, 519, 9855, 780, 4692, 596, 1294, 1631, 1946, 519, 1453, 1223, 711, 1294, 519, 9855, 693, 476, 277, 15014, 782, 3923, 2496, 1012, 476, 273, 269, 16514, 7778, 692, 5331, 513, 1268, 7555, 593, 519, 2627, 540, 519, 3047, 780, 30679, 476, 272, 692, 2691, 519, 1268, 568, 538, 2990, 589, 267, 519, 6129, 568, 2047, 16841, 269, 1656, 602, 267, 676, 4214, 267, 568, 29869, 256, 1109, 303, 3789, 595, 568, 519, 1448, 593, 3047, 17439, 4554, 689, 519, 6129, 267, 4061, 585, 519, 1268, 538, 2990, 595, 621, 779, 28813, 269, 18833, 602, 519, 3047, 7575, 1884, 545, 6674, 3772, 267, 649, 666, 1631, 1665, 2990, 645, 607, 476, 277, 15014, 543, 2990, 667, 607, 476, 277, 4456, 269, 1656, 267, 540, 1576, 267, 649, 666, 6445, 782, 519, 824, 3108, 270, 21752, 538, 1063, 780, 4131, 779, 1039, 519, 9855, 547, 519, 968, 24618, 9219, 892, 4605, 780, 30679, 476, 273, 692, 2171, 4126, 596, 1869, 3314, 799, 11775, 540, 519, 9855, 5330, 547, 799, 7158, 540, 519, 9855, 593, 922, 10739, 1472, 519, 3047, 780, 1892, 1715, 9855, 568, 2047, 16841, 585, 519, 1268, 538, 589, 2990, 454, 1892, 3689, 22588, 9855, 568, 2047, 16841, 585, 519, 1268, 538, 645, 2990, 454, 1892, 9509, 9855, 568, 2047, 16841, 585, 519, 1268, 538, 595, 2990, 454, 1892, 7831, 22588, 9855, 568, 2047, 16841, 585, 519, 1268, 538, 667, 2990, 692, 4263, 1142, 2016, 4087, 519, 9855, 22939, 827, 476, 1321, 3108, 1657, 519, 16880, 630, 277, 3108, 8375, 543, 476, 277, 3108, 4259, 1070, 543, 476, 1321, 3108, 2630, 269, 1403, 649, 9192, 713, 1249, 609, 5961, 476, 272, 543, 476, 273, 267, 649, 666, 9959, 602, 1384, 1892, 634, 1715, 9855, 568, 519, 5207, 693, 29869, 630, 337, 2478, 693, 476, 277, 4456, 543, 5036, 693, 476, 277, 15014, 994, 1892, 3689, 22588, 9855, 568, 519, 5207, 693, 476, 277, 15014, 630, 1492, 9855, 14380, 693, 29869, 543, 5036, 693, 28813, 994, 1892, 9509, 9855, 568, 519, 5207, 693, 476, 1321, 4456, 630, 1492, 9855, 14380, 693, 476, 277, 15014, 543, 5036, 693, 476, 277, 4456, 12467, 1892, 7831, 22588, 9855, 568, 519, 5207, 693, 476, 277, 4456, 630, 1492, 9855, 14380, 693, 28813, 543, 5036, 693, 29869, 2020, 1012, 10390, 692, 1103, 4641, 519, 3510, 568, 811, 7294, 269, 634, 9855, 779, 10739, 568, 711, 9985, 9764, 543, 519, 25057, 540, 519, 3047, 779, 10047, 543, 519, 9855, 779, 10739, 616, 711, 13988, 269, 1656, 1810, 1406, 1205, 803, 3323, 593, 942, 10851, 543, 21765, 9494, 942, 256, 13689, 1141, 596, 616, 593, 3047, 543, 1018, 942, 540, 519, 1032, 621, 568, 519, 8488, 538, 519, 631, 3233, 1047, 543, 7720, 976, 564, 942, 666, 4268, 9170, 1063, 476, 1789, 3764, 543, 476, 272, 269, 276, 3108, 269, 1109, 2791, 666, 2638, 519, 942, 950, 519, 9855, 14380, 543, 5036, 538, 707, 1858, 630, 553, 1134, 607, 519, 5123, 540, 519, 9855, 264, 1109, 1877, 780, 3719, 1018, 827, 519, 6780, 1966, 609, 4466, 519, 9855, 693, 476, 277, 15014, 2496, 4692, 596, 1589, 540, 799, 16264, 11775, 616, 1655, 2938, 676, 606, 20626, 593, 3047, 693, 476, 277, 15014, 2496, 30679, 476, 274, 692, 31917, 7720, 784, 5074, 256, 0, 258, 9351, 1063, 14258, 692, 3499, 22704, 1063, 14258, 454, 309, 1068, 673, 21100, 563, 763, 1858, 1063, 519, 14258, 586, 815, 535, 3287, 264, 543, 586, 815, 575, 3287, 264, 936, 513, 476, 277, 1535, 476, 277, 536, 568, 5833, 607, 5205, 563, 313, 321, 454, 288, 23751, 6600, 3287, 264, 6567, 575, 3287, 4297, 15848, 454, 320, 454, 25332, 2925, 602, 519, 14328, 20105, 814, 3259, 2016, 676, 535, 3287, 264, 6567, 575, 3287, 264, 543, 8700, 15848, 563, 344, 454, 344, 815, 535, 3287, 994, 344, 815, 575, 3287, 994, 320, 454, 321, 454, 343, 454, 11459, 454, 295, 528, 714, 7267, 21100, 563, 763, 1858, 1063, 519, 14258, 1535, 815, 535, 12169, 264, 543, 1535, 815, 575, 12169, 264, 936, 524, 476, 277, 586, 476, 277, 546, 568, 5833, 607, 5205, 563, 313, 323, 454, 288, 23751, 6600, 12169, 264, 6567, 575, 12169, 4297, 10085, 454, 322, 454, 25332, 2925, 602, 519, 14328, 20105, 814, 3259, 2016, 676, 535, 12169, 264, 6567, 575, 12169, 264, 543, 8700, 10085, 563, 344, 454, 343, 815, 575, 12169, 994, 343, 815, 535, 12169, 994, 323, 454, 11276, 454, 343, 454, 322, 454, 294, 14792, 595, 1794, 601, 9820, 269, 9537, 564, 609, 700, 12442, 311, 593, 5130, 476, 1724, 267, 476, 1220, 278, 563, 7078, 476, 272, 269, 4855, 519, 1858, 22112, 676, 519, 1079, 25158, 15614, 586, 815, 1535, 273, 543, 586, 815, 476, 273, 343, 6567, 1535, 273, 4586, 11405, 269, 1284, 1101, 1265, 519, 2798, 540, 10167, 540, 519, 25158, 15614, 676, 6061, 454, 343, 273, 815, 476, 273, 343, 6567, 1535, 273, 2340, 485, 494, 22382, 476, 273, 343, 273, 6567, 476, 273, 343, 815, 476, 271, 2340, 485, 494, 22382, 476, 273, 343, 3287, 6567, 476, 272, 264, 815, 476, 271, 563, 763, 3435, 616, 1535, 815, 476, 271, 610, 476, 272, 269, 634, 2798, 540, 28963, 616, 1287, 630, 271, 267, 476, 271, 264, 543, 630, 272, 267, 476, 272, 1916, 344, 454, 344, 815, 476, 273, 343, 6567, 1535, 273, 454, 272, 454, 344, 815, 1535, 273, 454, 271, 454, 343, 454, 272, 454, 2171, 1265, 519, 1858, 1210, 7299, 21100, 607, 5205, 563, 313, 272, 454, 288, 23751, 263, 273, 343, 6567, 1535, 273, 6567, 1535, 273, 3738, 15848, 21591, 271, 454, 313, 272, 454, 263, 273, 343, 6567, 476, 273, 343, 273, 3738, 15848, 454, 271, 454, 273, 343, 274, 476, 272, 454, 284, 1535, 273, 6567, 454, 274, 476, 271, 454, 284, 272, 6629, 454, 272, 454, 273, 454, 23751, 274, 454, 274, 454, 7078, 476, 273, 269, 4855, 519, 1858, 1063, 519, 1899, 586, 815, 1535, 6567, 476, 272, 543, 519, 29236, 586, 273, 815, 476, 273, 343, 1341, 476, 277, 563, 11405, 269, 1635, 6061, 586, 1341, 476, 272, 815, 630, 344, 273, 6567, 476, 277, 8358, 273, 267, 649, 666, 17429, 576, 602, 519, 2798, 540, 10167, 616, 454, 263, 6629, 272, 267, 6567, 273, 264, 543, 630, 276, 267, 476, 275, 1916, 344, 454, 344, 273, 6567, 476, 277, 454, 343, 23751, 273, 454, 263, 276, 267, 476, 275, 994, 275, 454, 343, 284, 344, 266, 272, 454, 343, 454, 263, 6629, 272, 267, 6567, 273, 994, 6629, 273, 454, 2171, 1265, 519, 1858, 1210, 8880, 21100, 607, 5205, 563, 273, 454, 313, 275, 586, 6567, 277, 454, 288, 23751, 12169, 1341, 476, 272, 264, 6567, 454, 11276, 454, 273, 454, 6629, 273, 454, 275, 454, 313, 275, 454, 272, 586, 274, 454, 344, 273, 454, 272, 476, 273, 454, 23751, 6629, 476, 273, 586, 1341, 586, 1341, 476, 275, 10085, 815, 6567, 454, 32504, 266, 476, 275, 344, 476, 273, 476, 274, 454, 273, 454, 6629, 273, 454, 6629, 273, 454, 272, 454, 279, 454, 284, 6567, 476, 277, 630, 5038, 264, 1341, 476, 279, 1341, 476, 1626, 6567, 476, 277, 1341, 476, 273, 6567, 476, 279, 815, 476, 1240, 454, 3499, 0, 2005, 568, 4867, 476, 2420, 4239, 476, 1001, 278, 267, 476, 6734, 281, 6872, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21981, 547, 891, 1507, 3943, 16654, 8219, 267, 609, 513, 2582, 13691, 267, 1034, 540, 799, 941, 23542, 1639, 1282, 519, 4838, 540, 476, 9965, 280, 610, 9927, 538, 513, 11509, 1259, 269, 630, 294, 2946, 337, 731, 700, 1030, 3757, 322, 1916, 763, 10916, 729, 1500, 676, 590, 2946, 30807, 1014, 16199, 553, 454, 514, 476, 1001, 279, 543, 646, 1500, 519, 9835, 3073, 826, 4528, 269, 594, 1500, 519, 3732, 1210, 519, 9835, 3073, 826, 4528, 267, 609, 10479, 689, 590, 2946, 30807, 1014, 563, 763, 1739, 2828, 5280, 803, 547, 1118, 543, 15476, 519, 3732, 1305, 630, 514, 9904, 673, 1931, 2567, 18067, 1664, 667, 656, 663, 267, 717, 2946, 337, 731, 700, 1030, 3757, 322, 267, 594, 560, 341, 17505, 18491, 344, 267, 543, 14639, 6261, 18824, 8125, 4034, 516, 269, 1403, 1945, 781, 2944, 1134, 267, 621, 781, 7064, 547, 873, 269, 11289, 596, 585, 741, 960, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 343, 1341, 476, 276, 7565, 277, 343, 1107, 476, 278, 21663, 898, 779, 1250, 9971, 543, 594, 1616, 547, 2328, 621, 865, 621, 779, 2653, 547, 1265, 519, 5072, 269, 2334, 9971, 786, 581, 4642, 952, 1535, 815, 476, 274, 270, 273, 267, 610, 952, 1535, 815, 910, 276, 270, 275, 267, 610, 952, 1535, 815, 476, 278, 270, 277, 269, 1924, 513, 9971, 609, 8870, 14170, 666, 723, 2318, 543, 2942, 7787, 2338, 607, 5072, 780, 1692, 827, 519, 9971, 1535, 273, 1107, 476, 273, 286, 2334, 779, 3160, 547, 4642, 952, 1535, 568, 519, 4009, 3597, 540, 476, 273, 267, 827, 476, 272, 269, 29300, 269, 898, 779, 849, 3160, 547, 4642, 952, 1535, 568, 14263, 519, 4009, 3597, 540, 476, 273, 267, 827, 910, 272, 269, 29300, 269, 1656, 519, 4009, 3597, 540, 476, 273, 568, 19450, 269, 1924, 649, 666, 6157, 723, 19450, 2338, 607, 5072, 780, 3383, 952, 649, 666, 723, 2898, 2338, 267, 543, 7787, 2338, 267, 543, 19450, 2338, 607, 5072, 267, 875, 666, 972, 581, 4376, 3116, 286, 8786, 267, 1950, 2338, 267, 594, 1294, 596, 9870, 707, 1688, 972, 269, 1284, 2461, 711, 6158, 827, 1950, 2338, 1175, 1631, 269, 8307, 1483, 2338, 780, 2005, 3884, 1406, 2182, 547, 960, 856, 1946, 649, 666, 1205, 1022, 2898, 1297, 267, 2318, 610, 2942, 267, 689, 513, 9971, 609, 8870, 14170, 269, 2107, 1946, 649, 666, 1205, 1022, 7787, 1297, 269, 634, 3352, 1674, 1023, 267, 1498, 2560, 621, 7140, 856, 649, 666, 1152, 1205, 930, 540, 873, 713, 1259, 269, 1284, 666, 1205, 4009, 5072, 543, 13306, 5072, 543, 8772, 5072, 543, 782, 602, 269, 1284, 666, 1205, 10659, 540, 1346, 269, 1809, 649, 666, 1406, 1205, 3388, 269, 1703, 616, 19450, 2338, 602, 616, 972, 855, 602, 1256, 21335, 666, 1406, 3914, 780, 2005, 779, 782, 1318, 547, 581, 14281, 269, 898, 779, 513, 9670, 1267, 269, 9320, 1256, 796, 3553, 339, 1782, 269, 3690, 25728, 1581, 2338, 723, 1945, 15116, 827, 873, 269, 634, 476, 866, 628, 11416, 3943, 22301, 9478, 9149, 537, 6807, 1101, 9863, 519, 1919, 1590, 2291, 267, 538, 476, 7277, 275, 269, 630, 3891, 1031, 4797, 8454, 547, 1397, 972, 1590, 581, 971, 1919, 4700, 898, 1131, 581, 5722, 1296, 2663, 602, 646, 5795, 606, 1383, 540, 835, 538, 8799, 267, 2653, 3562, 268, 16187, 17447, 269, 901, 568, 519, 1297, 476, 271, 269, 8099, 476, 9826, 476, 1822, 476, 1822, 476, 1822, 476, 1822, 476, 1822, 476, 9826, 476, 1822, 476, 1822, 630, 564, 524, 2678, 320, 1040, 901, 1297, 568, 4642, 3592, 10876, 269, 1809, 972, 779, 513, 476, 272, 538, 519, 562, 6253, 7857, 2250, 519, 8918, 952, 562, 568, 519, 27353, 540, 930, 1297, 269, 2334, 568, 267, 476, 272, 256, 568, 476, 272, 267, 865, 519, 476, 272, 560, 7857, 2250, 519, 8918, 568, 513, 476, 272, 269, 476, 273, 256, 568, 476, 273, 267, 865, 519, 476, 273, 526, 7857, 2250, 519, 8918, 568, 513, 476, 272, 269, 476, 274, 256, 568, 476, 277, 267, 865, 519, 476, 277, 628, 7857, 2250, 519, 8918, 568, 513, 476, 272, 269, 476, 275, 256, 568, 476, 2190, 267, 865, 519, 476, 2190, 628, 7857, 2250, 519, 8918, 568, 513, 476, 272, 269, 634, 1985, 476, 272, 786, 2408, 538, 5544, 1297, 476, 276, 29755, 799, 568, 476, 6344, 269, 2991, 602, 267, 476, 277, 256, 568, 476, 24798, 865, 649, 7227, 585, 519, 476, 24798, 628, 7857, 547, 581, 476, 272, 1586, 780, 4517, 1018, 568, 713, 9149, 537, 6807, 1297, 476, 271, 269, 8099, 476, 9826, 476, 1822, 476, 1822, 476, 1822, 476, 1822, 476, 1822, 476, 9826, 476, 1822, 476, 1822, 630, 564, 524, 2678, 320, 264, 1031, 585, 267, 16310, 6029, 602, 513, 16637, 1581, 1297, 6818, 286, 3502, 513, 3364, 269, 898, 779, 540, 1100, 824, 1719, 269, 1656, 713, 12735, 4240, 519, 16637, 1581, 2338, 2394, 476, 6942, 274, 269, 634, 1152, 1806, 4896, 1185, 540, 16637, 1581, 2338, 941, 3283, 3710, 547, 1397, 602, 789, 11478, 269, 769, 476, 6942, 274, 8176, 19555, 924, 4951, 6368, 602, 552, 267, 519, 3490, 540, 519, 2067, 30233, 267, 729, 16637, 1581, 269, 552, 568, 513, 1454, 811, 4277, 1297, 282, 649, 723, 4128, 547, 1416, 827, 621, 269, 5272, 12825, 2208, 610, 9178, 610, 14251, 908, 1184, 814, 552, 30443, 6362, 538, 621, 12341, 269, 769, 476, 6642, 273, 30544, 13153, 14811, 655, 2335, 4951, 602, 12631, 729, 16637, 1581, 267, 543, 602, 779, 606, 1256, 811, 4277, 1297, 780, 6546, 3787, 827, 12631, 814, 4277, 6286, 269, 2290, 4422, 1394, 547, 519, 3504, 16380, 269, 1772, 621, 2009, 267, 1210, 2786, 8354, 543, 22315, 267, 547, 1711, 513, 4009, 602, 779, 4010, 519, 1482, 2450, 607, 513, 2016, 5858, 286, 901, 568, 6697, 547, 6031, 267, 952, 594, 2285, 596, 513, 1899, 10126, 267, 666, 596, 1711, 1776, 1899, 10126, 602, 779, 4010, 519, 4009, 3597, 540, 12631, 2053, 607, 1279, 286, 901, 12166, 1966, 568, 6697, 547, 606, 15821, 835, 269, 2334, 1966, 281, 666, 596, 1711, 513, 9971, 267, 609, 8870, 14170, 267, 602, 814, 519, 4009, 3597, 540, 12631, 607, 513, 3597, 286, 630, 310, 27073, 5058, 281, 594, 6557, 1236, 6235, 930, 1271, 2798, 585, 519, 19160, 540, 9355, 269, 11298, 10691, 3801, 547, 946, 713, 547, 1780, 707, 5098, 8878, 1510, 8380, 1346, 2798, 1394, 538, 4700, 1284, 1616, 519, 4009, 3597, 540, 12631, 1317, 2560, 1134, 267, 1018, 779, 519, 1858, 540, 513, 4009, 4171, 5011, 616, 519, 4009, 3597, 540, 12631, 1279, 286, 2334, 779, 1318, 269, 1924, 649, 1376, 609, 513, 1899, 10126, 602, 779, 3160, 547, 519, 8953, 540, 519, 5858, 543, 649, 666, 798, 602, 267, 15983, 269, 4495, 649, 723, 519, 8953, 267, 666, 1406, 649, 1118, 513, 1899, 602, 779, 519, 4009, 3597, 540, 12631, 2053, 519, 8953, 267, 543, 689, 602, 1118, 513, 4009, 609, 1858, 4010, 12631, 2053, 519, 8953, 16302, 286, 4595, 12631, 568, 16637, 1581, 267, 1287, 267, 1100, 269, 1284, 666, 1406, 269, 590, 13446, 269, 2290, 540, 519, 1390, 2042, 540, 3504, 6128, 267, 543, 835, 602, 1869, 814, 519, 1379, 547, 4482, 519, 13680, 22301, 267, 3893, 922, 3803, 2626, 538, 476, 6642, 273, 780, 10481, 3073, 22616, 528, 568, 513, 2012, 1256, 1875, 2173, 520, 11490, 2103, 1522, 5431, 269, 1261, 4951, 972, 723, 547, 581, 930, 12808, 5036, 8273, 982, 1866, 267, 543, 602, 972, 1590, 581, 811, 1483, 2338, 982, 972, 616, 7787, 2338, 269, 9050, 1296, 1310, 6029, 602, 267, 646, 9863, 972, 616, 607, 1082, 16637, 1581, 2338, 607, 972, 616, 1483, 2338, 780, 5445, 2461, 10876, 269, 1358, 15449, 622, 519, 1483, 2338, 865, 1454, 602, 649, 666, 1174, 519, 1483, 2338, 607, 519, 16637, 1581, 2338, 7132, 930, 7452, 269, 1358, 2461, 3592, 519, 4158, 2339, 540, 6128, 269, 1284, 1810, 1406, 2965, 917, 782, 602, 1082, 540, 873, 269, 16423, 1090, 4569, 13328, 814, 513, 3349, 17609, 2338, 8810, 547, 581, 16637, 1581, 267, 543, 519, 1249, 649, 666, 1592, 602, 593, 513, 2582, 1357, 2985, 568, 7415, 269, 2368, 540, 873, 616, 1804, 5036, 540, 2338, 267, 9811, 267, 899, 1269, 324, 17353, 7032, 1422, 6912, 18097, 22288, 585, 1169, 2318, 2898, 1297, 546, 269, 1656, 649, 666, 18505, 1082, 811, 689, 873, 282, 952, 12631, 568, 16637, 1581, 1287, 865, 568, 476, 273, 11027, 267, 543, 865, 568, 476, 276, 11027, 267, 543, 865, 568, 910, 736, 269, 4343, 11027, 267, 543, 865, 593, 269, 1809, 519, 3349, 540, 2338, 8810, 547, 581, 19450, 568, 1869, 1175, 476, 1839, 9343, 1279, 780, 2467, 616, 1256, 13655, 827, 6654, 2338, 269, 12631, 568, 16637, 1581, 269, 1924, 568, 552, 269, 1284, 917, 602, 693, 2547, 835, 540, 12631, 2053, 552, 543, 12631, 7132, 552, 568, 16637, 1581, 269, 12344, 1312, 616, 269, 1284, 1810, 1406, 917, 799, 835, 568, 267, 610, 952, 1312, 616, 269, 1284, 1810, 1406, 917, 2436, 12631, 11027, 568, 16637, 1581, 269, 1284, 1810, 1406, 917, 2436, 552, 324, 568, 267, 2901, 269, 5213, 1406, 1256, 2307, 952, 12631, 324, 568, 780, 1692, 267, 676, 519, 1259, 267, 1281, 713, 3514, 609, 1250, 3409, 602, 3388, 538, 6128, 568, 21335, 286, 2443, 4270, 267, 649, 1336, 891, 2338, 538, 519, 1101, 1747, 676, 3168, 693, 21335, 269, 634, 1305, 568, 3989, 267, 1256, 547, 713, 1554, 267, 676, 875, 513, 1880, 2186, 540, 9971, 666, 1406, 3914, 873, 269, 15154, 827, 513, 1880, 2186, 540, 9971, 2306, 7298, 713, 4277, 1305, 780, 1012, 1879, 1772, 2274, 777, 4303, 4107, 6145, 569, 1677, 1109, 295, 1952, 523, 2496, 12179, 821, 15691, 585, 606, 2626, 16310, 519, 476, 3066, 628, 540, 5988, 2901, 31268, 594, 6557, 3257, 930, 4945, 321, 7159, 3364, 267, 6148, 6158, 827, 602, 942, 13785, 4769, 1406, 3833, 1118, 519, 5912, 689, 519, 30486, 547, 519, 15535, 20187, 11706, 267, 610, 30877, 594, 6557, 6158, 827, 2395, 540, 519, 3018, 269, 3657, 476, 3066, 2195, 540, 5988, 811, 2693, 547, 581, 513, 10732, 267, 513, 11728, 267, 1018, 2496, 763, 2601, 713, 568, 513, 2243, 693, 782, 568, 602, 519, 15535, 20187, 11706, 814, 713, 1360, 13581, 267, 855, 1483, 267, 9186, 269, 2368, 2395, 540, 519, 3018, 616, 811, 2693, 585, 513, 1032, 547, 1376, 593, 982, 824, 2395, 616, 269, 901, 3947, 721, 519, 7613, 1141, 519, 476, 1724, 628, 540, 3275, 616, 5594, 811, 2693, 547, 581, 2605, 12156, 982, 1022, 824, 1554, 540, 519, 3018, 269, 3371, 968, 3697, 569, 892, 9356, 602, 267, 952, 649, 798, 711, 917, 513, 1808, 3923, 543, 1032, 267, 1287, 649, 666, 1406, 2161, 799, 540, 519, 5722, 2395, 519, 11706, 779, 3652, 2285, 721, 585, 519, 4266, 540, 519, 476, 1724, 628, 780, 7775, 267, 585, 602, 2339, 267, 952, 649, 1810, 1406, 917, 799, 20014, 1032, 649, 2461, 3206, 540, 269, 1703, 616, 476, 9032, 540, 873, 1169, 476, 6110, 1296, 269, 4595, 476, 9032, 1919, 666, 1406, 581, 25144, 3262, 2066, 519, 5722, 2395, 540, 519, 3018, 267, 875, 616, 789, 3262, 2496, 1607, 568, 1018, 5904, 616, 585, 269, 1411, 4076, 2938, 803, 798, 713, 585, 519, 4266, 540, 14914, 543, 585, 519, 4266, 540, 630, 4785, 264, 21175, 269, 4635, 519, 2048, 15553, 1485, 685, 1599, 538, 4239, 1511, 630, 320, 4223, 18350, 804, 821, 264, 594, 13761, 269, 769, 1022, 476, 6110, 4458, 12732, 540, 519, 15535, 20187, 11706, 2443, 543, 519, 11706, 973, 344, 3380, 1169, 476, 6110, 1296, 267, 865, 602, 779, 607, 1454, 607, 649, 991, 2443, 649, 786, 1294, 713, 3892, 1384, 8867, 777, 4303, 786, 581, 513, 713, 1082, 2053, 454, 306, 1495, 599, 476, 1724, 454, 31388, 476, 1428, 454, 307, 11698, 476, 1724, 454, 26607, 11888, 476, 1428, 454, 32637, 476, 1724, 454, 293, 27518, 476, 1691, 454, 306, 12944, 476, 1691, 454, 514, 476, 6110, 1296, 692, 7437, 547, 476, 13975, 271, 267, 1498, 267, 519, 11706, 568, 2469, 547, 1246, 513, 476, 2764, 4458, 1974, 269, 1924, 713, 786, 581, 519, 2063, 14349, 20014, 1554, 2394, 476, 14225, 279, 269, 634, 1985, 1896, 3283, 786, 581, 13628, 267, 13638, 267, 10732, 267, 11016, 267, 13723, 267, 543, 11728, 780, 1012, 7335, 519, 22383, 267, 5130, 476, 2537, 267, 476, 1001, 279, 281, 16989, 12474, 1109, 292, 1288, 692, 296, 729, 782, 1305, 547, 2161, 875, 5360, 8724, 827, 3619, 4467, 923, 2593, 779, 3817, 711, 15205, 1185, 20335, 873, 6378, 269, 1809, 789, 1152, 5249, 585, 11728, 4805, 282, 2221, 789, 2461, 7745, 1586, 269, 9406, 269, 594, 10093, 1406, 6836, 11488, 606, 5470, 1867, 1586, 282, 649, 3580, 1294, 952, 602, 1568, 269, 11531, 267, 594, 6557, 1869, 711, 998, 2063, 3018, 779, 13371, 17446, 543, 594, 1185, 1175, 2614, 585, 835, 1554, 547, 5176, 2614, 17854, 606, 3888, 618, 585, 519, 835, 1554, 269, 9701, 9096, 1055, 519, 1964, 540, 519, 3018, 1985, 1557, 267, 4440, 538, 942, 585, 1985, 3018, 780, 15812, 2274, 1731, 5886, 779, 21582, 543, 15196, 556, 14725, 585, 519, 476, 2537, 6113, 10580, 1472, 930, 540, 24789, 334, 779, 21537, 2135, 525, 269, 2311, 519, 2295, 540, 930, 540, 873, 568, 519, 2243, 540, 2436, 513, 3364, 666, 581, 5258, 28222, 1082, 2053, 267, 610, 2436, 972, 1590, 581, 930, 10545, 2179, 540, 513, 3364, 269, 24789, 334 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 293, 19067, 14824, 294, 19067, 14824, 295, 19067, 14824, 296, 19067, 14824, 297, 19067, 257, 6540, 6112, 2600, 3436, 476, 1015, 912, 825, 28219, 815, 4351, 27110, 263, 1015, 267, 704, 1417, 994, 825, 952, 2600, 2999, 476, 1015, 912, 1038, 2736, 454, 825, 8640, 476, 28219, 2999, 476, 1015, 10778, 1038, 3136, 454, 825, 3116, 912, 1038, 2600, 20699, 28219, 8931, 1038, 7306, 6910, 263, 8681, 2020, 604, 2600, 256, 284, 271, 912, 825, 7306, 6910, 263, 704, 1417, 994, 10823, 4877, 773, 4433, 3278, 267, 3712, 832, 284, 3712, 832, 267, 11034, 4120, 815, 476, 271, 2073, 18350, 1564, 815, 10297, 11468, 6352, 4433, 3278, 264, 7481, 10823, 26644, 3488, 303, 773, 15873, 5073, 10823, 269, 5586, 754, 6025, 1856, 8782, 26765, 754, 3299, 32643, 815, 834, 12294, 2451, 5602, 10823, 269, 9471, 3488, 16029, 17210, 10823, 20481, 692, 8931, 8931, 8931, 672, 7531, 0, 258, 2241, 3252, 1031, 547, 1711, 519, 834, 333, 10179, 1242, 257, 8747, 540, 12673, 1031, 538, 519, 1292, 7097, 692, 3698, 6746, 1125, 23952, 4433, 2187, 825, 2132, 1496, 867, 6262, 264, 585, 524, 538, 521, 6540, 3698, 6746, 1125, 7272, 334, 655, 9638, 334, 655, 2187, 825, 2132, 1496, 333, 10179, 1125, 23952, 263, 1467, 264, 585, 1899, 538, 6648, 21858, 19629, 333, 8442, 6540, 3698, 6746, 1125, 318, 1551, 19906, 2187, 825, 2132, 1496, 333, 10179, 1125, 23952, 21405, 264, 585, 4737, 538, 2855, 2639, 0, 258, 325, 15635, 542, 1477, 258, 28256, 836, 25222, 6439, 836, 25222, 1477, 258, 1663, 345, 2261, 807, 1608, 1457, 517, 989, 340, 559, 5028, 1477, 5814, 2979, 607, 544, 1477, 320, 284, 6358, 2891, 28808, 25564, 513, 14744, 321, 284, 6358, 2891, 28808, 25564, 536, 14744, 3698, 12048, 582, 523, 25901, 5416, 14720, 8029, 825, 513, 30381, 1477, 825, 536, 284, 321, 1477, 825, 554, 284, 332, 28460, 5416, 265, 320, 17070, 265, 321, 3418, 825, 1820, 554, 1477, 24541, 15680, 5866, 284, 1222, 582, 523, 25901, 5416, 14720, 3418, 2745, 2892, 5866, 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 ]
[ 269, 8111, 9679, 3322, 28068, 610, 13327, 4370, 2773, 543, 5924, 960, 2238, 269, 1879, 1480, 2533, 16984, 4019, 891, 5107, 547, 4383, 5234, 267, 3906, 3622, 4324, 269, 8616, 267, 6392, 543, 15569, 666, 4655, 267, 3226, 950, 606, 10721, 1689, 4386, 269, 10020, 7526, 666, 581, 4101, 585, 1022, 1480, 2533, 23070, 269, 1677, 2232, 971, 7526, 267, 1480, 2533, 16984, 1590, 4019, 6392, 543, 15569, 538, 513, 1259, 602, 8992, 3280, 2359, 2853, 543, 10742, 519, 2115, 540, 519, 3919, 563, 3528, 4303, 476, 275, 454, 8070, 606, 1383, 540, 875, 519, 6392, 1909, 540, 1480, 2533, 16984, 1522, 4655, 609, 519, 19217, 800, 1909, 540, 1480, 2533, 16984, 269, 3973, 2491, 875, 1909, 7526, 1063, 6392, 543, 15569, 1522, 10460, 513, 4161, 547, 1480, 2533, 16984, 269, 0, 763, 5046, 268, 866, 6433, 814, 6383, 21463, 538, 2804, 543, 1514, 6384, 267, 12615, 908, 519, 10616, 602, 1185, 11478, 1279, 1354, 519, 12176, 540, 519, 6855, 269, 898, 849, 13514, 513, 4161, 538, 2474, 540, 519, 536, 4545, 541, 1436, 540, 2021, 1282, 543, 1310, 519, 6855, 267, 2523, 1970, 13867, 2021, 563, 763, 4220, 585, 2021, 2890, 550, 7651, 2720, 267, 519, 1870, 10126, 538, 799, 789, 723, 519, 6574, 7589, 267, 607, 1134, 607, 519, 13016, 5823, 267, 616, 1164, 2094, 789, 723, 1044, 4299, 676, 1514, 30693, 3800, 538, 2474, 540, 4747, 5108, 563, 17359, 1543, 540, 519, 8313, 454, 26296, 10014, 538, 8050, 454, 26296, 10014, 568, 2808, 513, 1883, 3815, 538, 4227, 6710, 543, 2810, 13884, 19403, 811, 454, 5804, 2657, 19822, 547, 11038, 5940, 816, 454, 28097, 519, 15491, 2804, 543, 2883, 16426, 602, 723, 1044, 2813, 610, 28978, 676, 519, 5046, 268, 866, 17328, 1862, 5649, 811, 454, 1708, 272, 661, 706, 19226, 19024, 7433, 454, 1692, 666, 2883, 2069, 3565, 547, 513, 4264, 543, 8537, 6051, 286, 5649, 811, 0, 28775, 596, 782, 1185, 513, 17681, 11728, 269, 6733, 2630, 585, 519, 1753, 1565, 585, 2221, 563, 4942, 9582, 3992, 268, 7490, 4585, 519, 3381, 543, 7119, 538, 1022, 2542, 270, 8586, 2238, 563, 4942, 9582, 3992, 268, 4653, 267, 649, 786, 581, 1565, 519, 13093, 30937, 2048, 320, 9957, 7490, 4585, 519, 3992, 3381, 543, 7119, 538, 1022, 2542, 4882, 701, 1136, 2238, 563, 2026, 513, 1246, 909, 2534, 267, 666, 596, 979, 593, 606, 2048, 320, 685, 6968, 1472, 707, 2777, 267, 585, 3615, 4098, 609, 519, 2048, 320, 685, 3355, 3280, 286, 630, 20625, 267, 17581, 3092, 1040, 9320, 4990, 856, 519, 3615, 883, 1346, 4098, 609, 2048, 320, 685, 543, 1346, 4098, 609, 2048, 338, 685, 630, 5228, 19108, 1916, 17413, 476, 272, 281, 1411, 786, 581, 8026, 707, 1983, 538, 476, 272, 281, 272, 19359, 269, 13772, 519, 3450, 3381, 2630, 1101, 543, 1287, 2347, 519, 1246, 909, 4976, 563, 10287, 909, 4305, 281, 476, 272, 547, 476, 272, 19359, 2534, 6656, 454, 3725, 4003, 281, 7490, 4585, 519, 3450, 3381, 2630, 563, 2080, 616, 707, 1246, 909, 2238, 585, 1310, 8384, 519, 3450, 3381, 912, 24145, 2329, 281, 5729, 476, 272, 338, 1152, 454, 8923, 2347, 713, 2542, 8223, 2534, 269, 2052, 596, 1224, 519, 5220, 543, 1287, 946, 519, 1344, 547, 1039, 12400, 547, 519, 4605, 888, 9213, 267, 594, 723, 513, 18027, 2534, 585, 596, 269, 769, 18027, 267, 649, 786, 581, 3168, 693, 27590, 10415, 269, 7490, 4585, 519, 3381, 543, 1246, 2059, 609, 519, 5751, 267, 2324, 593, 707, 3666, 563, 5970, 513, 17681, 1554, 3025, 543, 4126, 547, 1294, 596, 4166, 256, 0, 1103, 519, 4901, 4371, 538, 519, 5943, 540, 2489, 9840, 540, 519, 2136, 8315, 4937, 13909, 267, 2021, 1158, 3401, 5941, 519, 1034, 3608, 2081, 540, 7598, 519, 6167, 6571, 7550, 5176, 513, 8717, 3516, 547, 2149, 2021, 781, 2924, 543, 18149, 333, 5208, 1996, 2021, 267, 543, 8815, 593, 519, 991, 547, 3895, 2021, 781, 1909, 538, 5466, 519, 1034, 11213, 2518, 2042, 563, 1103, 1200, 2232, 693, 519, 4901, 593, 4708, 543, 3354, 998, 2021, 781, 5718, 267, 5518, 540, 519, 6243, 540, 26403, 807, 896, 20040, 519, 2956, 540, 1158, 2021, 781, 1909, 543, 5539, 2509, 2477, 4299, 676, 15125, 5281, 267, 7526, 543, 24187, 269, 834, 8253, 782, 2477, 2221, 666, 6488, 547, 3565, 547, 6351, 3646, 610, 2022, 18101, 12787, 4708, 2679, 693, 3160, 2157, 269, 8307, 782, 1927, 649, 786, 581, 2111, 547, 5968, 513, 2178, 5048, 547, 1346, 945, 6057, 9111, 267, 2463, 585, 1480, 2924, 543, 519, 4341, 540, 1876, 269, 5047, 267, 3006, 2463, 585, 519, 4341, 540, 1876, 568, 711, 6190, 2094, 519, 1876, 3294, 666, 2097, 883, 27171, 609, 519, 24080, 8815, 3741, 540, 1480, 1143, 2437, 5518, 717, 787, 9346, 639, 6390, 527, 384, 501, 1767, 563, 763, 5518, 21407, 602, 26403, 807, 1131, 3565, 547, 519, 13319, 540, 2021, 781, 5718, 538, 519, 1158, 269, 901, 3390, 786, 581, 593, 519, 16786, 540, 519, 7991, 540, 5915, 31097, 267, 519, 3465, 19409, 540, 799, 26403, 807, 4867, 6585, 269, 5047, 267, 2687, 547, 519, 5518, 267, 606, 1271, 1909, 538, 7863, 2021, 781, 2924, 543, 5009, 2021, 781, 5718, 786, 581, 5129, 676, 519, 3864, 4659, 585, 13834, 25734, 267, 606, 4013, 9872, 540, 519, 9167, 1759, 538, 966, 559, 333, 3780, 602, 6238, 922, 2238, 1985, 1032, 563, 8310, 8242, 476, 1220, 280, 269, 6021, 269, 1839, 476, 5400, 281, 2004, 12988, 0, 763, 9978, 14362, 540, 1879, 12984, 24542, 18023, 539, 1411, 2052, 5484, 24674, 3245, 18786, 9406, 589, 3118, 454, 2691, 12984, 24542, 18023, 539, 2052, 2142, 8342, 585, 15526, 454, 25821, 640, 1281, 2291, 543, 621, 2306, 621, 2009, 585, 721, 547, 10508, 538, 1272, 538, 6266, 540, 2081, 269, 898, 779, 796, 23896, 762, 602, 519, 6207, 1034, 1271, 7835, 538, 5201, 5949, 538, 519, 476, 5197, 271, 338, 269, 1411, 1058, 3314, 602, 782, 540, 519, 5201, 543, 3167, 5279, 649, 2461, 6340, 827, 568, 11979, 269, 24542, 568, 1044, 1851, 519, 1713, 10697, 585, 4948, 1568, 269, 22353, 267, 676, 13288, 547, 519, 27069, 1686, 540, 5201, 267, 606, 1367, 666, 1406, 9794, 945, 11827, 5201, 543, 519, 1259, 621, 729, 4362, 543, 1106, 519, 27069, 2796, 621, 779, 10423, 602, 519, 9295, 540, 519, 2347, 3744, 1185, 3366, 547, 519, 8798, 540, 5201, 563, 2691, 5201, 5531, 338, 538, 476, 272, 1747, 621, 779, 5219, 547, 607, 11979, 5201, 267, 2495, 602, 621, 3085, 1406, 1847, 543, 5201, 602, 1281, 1847, 568, 1634, 607, 1699, 5201, 269, 898, 568, 513, 2462, 851, 540, 938, 2729, 267, 543, 3006, 649, 1810, 1406, 1256, 8275, 621, 269, 898, 729, 711, 11827, 621, 568, 513, 2067, 7613, 1175, 899, 1216, 543, 3595, 269, 898, 568, 513, 1106, 540, 1648, 602, 4386, 950, 519, 11508, 1063, 1079, 2326, 267, 606, 3310, 3361, 676, 513, 2964, 545, 1198, 610, 1317, 540, 519, 1198, 540, 3002, 593, 930, 14848, 269, 5221, 621, 568, 513, 2067, 1106, 540, 1648, 543, 649, 3112, 2161, 602, 621, 568, 1945, 11827, 676, 1152, 2576, 269, 898, 568, 513, 1826, 540, 1648, 602, 666, 2095, 689, 835, 1747, 547, 1776, 610, 2095, 689, 835, 1747, 547, 1776, 269, 634, 5201, 596, 616, 1210, 538, 707, 3959, 568, 8028, 1247, 621, 2501, 689, 1919, 899, 9823, 9075, 563, 10955, 2581, 2919, 6217, 2042, 693, 513, 1762, 2085, 269, 898, 2813, 513, 10828, 585, 5128, 269, 1261, 7691, 602, 538, 1931, 547, 1921, 513, 3126, 540, 3167, 8279, 547, 17215, 14323, 5546, 543, 547, 946, 519, 2838, 11098, 540, 7601, 5911, 267, 646, 1131, 723, 547, 3132, 513, 17689, 602, 1031, 1360, 1507, 5666, 540, 1699, 269, 8786, 269, 7316, 621, 16309, 543, 20546, 539, 1010, 6735, 729, 538, 3384, 513, 4052, 543, 20522, 1769, 15941, 267, 2687, 547, 519, 11298, 292, 269, 7338, 32525, 605, 4944, 1229, 585, 519, 14230, 540, 1010, 2395, 269, 7665, 6202, 729, 1851, 519, 20923, 22697, 538, 1686, 563, 2691, 12984, 24542, 18023, 539, 26386, 4112, 7134, 454, 2691, 596, 5905, 1945, 543, 4309, 513, 8710, 267, 602, 568, 5963, 11979, 5201, 3001, 998, 596, 269, 1879, 596, 4009, 476, 5908, 267, 1822, 596, 616, 2111, 547, 1294, 621, 1131, 1152, 1491, 513, 3787, 540, 2527, 547, 1118, 606, 10373, 7274, 540, 1648, 269, 1488, 743, 697, 630, 3602, 519, 2487, 8928, 689, 476, 272, 19650, 676, 1797, 540, 3154, 547, 930, 824, 19650, 264, 568, 6505, 543, 10792, 269, 769, 519, 1034, 7928, 1106, 1031, 3232, 267, 621, 779, 6383, 676, 824, 1648, 2959, 630, 27146, 776, 264, 4061, 621, 779, 2808, 513, 6281, 1648, 3761, 563, 288, 14762, 16724, 13821, 513, 1297, 540, 1983, 543, 15421, 538, 1931, 547, 6175, 998, 519, 7188, 540, 938, 1360, 8013, 19458, 269, 1703, 3884, 1406, 1175, 835, 23266, 540, 1022, 9735, 2029, 269, 10801, 519, 7766, 4627, 5756, 267, 1082, 31132, 543, 3744, 6836, 547, 1205, 513, 1797, 547, 946, 519, 5122, 12588, 547, 7118, 1769, 269, 769, 1931, 585, 873, 547, 4163, 856, 2143, 2090, 540, 5201, 267, 789, 2877, 513, 6325, 543, 1279, 18835, 2707, 269, 8033, 5224, 15284, 779, 960, 267, 1082, 824, 3744, 6594, 5201, 543, 3459, 547, 1174, 811, 827, 875, 621, 5249, 269, 6206, 5320, 1382, 568, 606, 5140, 1747, 547, 1376, 10478, 585, 873, 269, 16952, 5647, 1131, 12446, 538, 519, 21987, 540, 18160, 779, 4090, 748, 8906, 7282, 519, 5817, 6127, 540, 519, 2584, 29090, 1198, 563, 4415, 519, 26813, 540, 2964, 1242, 2504, 267, 22250, 2968, 606, 3362, 21230, 11720, 539, 20161, 585, 1346, 13999, 269, 16522, 4854, 15229, 1185, 519, 3063, 5413, 789, 9583, 16768, 11014, 269, 634, 3167, 11067, 3684, 568, 1034, 2693, 1851, 519, 7887, 4074, 22766, 14233, 538, 2221, 779, 7622, 563, 2691, 12984, 24542, 18023, 539, 281, 3143, 7043, 518, 513, 25491, 454, 22102, 4872, 543, 6917, 2127, 7948, 1406, 6488, 606, 32525, 2511, 1062, 31049, 267, 6028, 513, 7372, 6712, 540, 519, 2344, 1510, 5122, 1489, 269, 6736, 519, 1249, 602, 16764, 538, 519, 1158, 568, 1210, 5201, 267, 18864, 666, 2626, 519, 13214, 945, 11827, 5201, 538, 1100, 811, 982, 835, 2262, 269, 9282, 621, 568, 2009, 547, 10250, 519, 1686, 540, 519, 19713, 540, 5122, 1379, 543, 3715, 519, 1004, 18177, 585, 1028, 9285, 23484, 593, 519, 1259, 267, 621, 568, 2182, 547, 1305, 513, 2012, 547, 519, 812, 610, 4807, 945, 1101, 4362, 5201, 563, 288, 11979, 5279, 666, 581, 1500, 676, 27012, 1927, 1079, 2189, 8677, 540, 2326, 267, 899, 27012, 993, 828, 543, 3662, 9663, 1927, 269, 11906, 9075, 723, 11478, 2094, 3504, 10255, 269, 634, 1360, 1101, 3020, 3167, 6007, 729, 2919, 538, 476, 10082, 280, 563, 17746, 1192, 532, 1164, 26024, 267, 6198, 3457, 856, 540, 23282, 7051, 2679, 7161, 609, 1022, 2179, 540, 1852, 814, 5828, 856, 547, 581, 3833, 4101, 267, 543, 950, 621, 779, 6913, 621, 568, 2182, 547, 10956, 269, 634, 8798, 540, 5201, 729, 606, 5393, 1279, 543, 11213, 5650, 267, 1519, 513, 1434, 4308, 540, 3744, 945, 5249, 1360, 2352, 547, 581, 2111, 547, 3142, 7772, 547, 519, 1158, 269, 2717, 2096, 619, 616, 513, 2864, 3573, 7121, 269, 1358, 616, 5393, 1279, 16625, 6675, 799, 267, 538, 519, 2013, 540, 15229, 267, 616, 5097, 1500, 540, 3327, 269, 5047, 267, 513, 2603, 540, 519, 13339, 538, 4540, 3457, 3788, 30694, 607, 621, 568, 3833, 14427, 543, 3653, 995, 547, 1118, 6094, 13339, 530, 2378, 619, 269, 13298, 267, 519, 6475, 536, 25555, 1472, 693, 4351, 267, 1152, 5329, 909, 606, 2949, 4287, 20991, 1524, 519, 5911, 267, 1818, 1175, 513, 2370, 3356, 609, 1142, 3606, 25483, 269, 0, 1432, 1772, 22953, 769, 10017, 286, 4208, 898, 19732, 839, 1656, 1548, 1411, 2052, 1684, 6168, 898, 454, 24993, 5437, 476, 3066, 267, 476, 1708, 272, 454, 8469, 1227, 5623, 539, 1635, 281, 26826, 24125, 454, 2467, 786, 581, 8090, 538, 1272, 950, 519, 2604, 588, 2931, 909, 267, 950, 649, 666, 1405, 1294, 1022, 7525, 3435, 267, 543, 649, 3513, 2490, 2509, 519, 12003, 6127, 649, 723, 1031, 538, 519, 2250, 269, 1452, 12003, 6127, 666, 948, 721, 530, 1228, 998, 519, 11315, 7297, 676, 4758, 721, 513, 5943, 547, 6023, 2566, 563, 1432, 1772, 22953, 769, 10017, 888, 27039, 593, 519, 1808, 12003, 7271, 267, 891, 5615, 616, 2356, 2808, 2635, 952, 789, 1810, 1405, 2097, 693, 519, 13258, 540, 1776, 1268, 610, 4125, 1582, 3620, 1301, 269, 1717, 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 ]
[ 609, 3642, 543, 5690, 545, 3375, 6194, 267, 891, 4220, 786, 1419, 991, 547, 581, 9619, 543, 7339, 730, 998, 6131, 3435, 543, 3606, 10220, 3800, 563, 763, 4540, 9431, 5943, 454, 4407, 972, 568, 4867, 606, 9000, 540, 6131, 4031, 6322, 693, 4481, 5466, 3642, 538, 1034, 22875, 267, 713, 1281, 711, 2061, 4540, 9431, 10850, 689, 7311, 563, 20058, 267, 1239, 4027, 4031, 786, 267, 538, 1082, 2665, 267, 581, 3810, 4143, 269, 9608, 1239, 568, 1419, 4909, 547, 875, 3642, 568, 1312, 2919, 543, 8045, 269, 14066, 12531, 540, 2048, 10177, 1456, 1239, 685, 616, 3622, 2838, 547, 19022, 3684, 1565, 3631, 267, 865, 602, 789, 616, 2111, 547, 14013, 4431, 547, 513, 3099, 540, 7653, 789, 949, 581, 21947, 609, 269, 6684, 267, 1239, 568, 2877, 585, 519, 4152, 540, 513, 2203, 779, 2773, 543, 786, 3622, 1106, 519, 4493, 540, 519, 2203, 779, 11378, 538, 513, 2661, 1604, 269, 901, 2673, 683, 343, 639, 1063, 3642, 543, 7834, 814, 8507, 538, 1978, 8128, 267, 971, 607, 519, 5177, 6176, 30934, 630, 2975, 302, 264, 543, 8050, 779, 589, 7968, 291, 267, 3384, 2143, 5583, 593, 519, 1888, 563, 20118, 267, 1141, 3642, 568, 1373, 1031, 547, 3310, 610, 4628, 25117, 3664, 827, 2043, 267, 621, 666, 2285, 4473, 547, 519, 1981, 540, 5690, 545, 9186, 1996, 1880, 2516, 267, 1519, 18441, 269, 901, 949, 2049, 1813, 547, 8978, 28639, 602, 616, 10630, 538, 519, 2866, 1239, 1305, 610, 9962, 12122, 2152, 2404, 609, 519, 2203, 269, 7316, 9186, 5540, 1880, 2043, 267, 1287, 713, 1223, 1267, 538, 26418, 906, 540, 4550, 1673, 4593, 19303, 4031, 563, 296, 1087, 1132, 2404, 609, 21568, 540, 2123, 1239, 543, 9186, 616, 849, 1806, 540, 28746, 799, 949, 2887, 1369, 519, 9165, 540, 6626, 9086, 971, 607, 7082, 543, 6735, 4031, 267, 7258, 5823, 10391, 4170, 2404, 609, 8156, 5561, 9425, 630, 324, 3052, 1421, 538, 2883, 2533, 1916, 16391, 31907, 602, 616, 3238, 609, 519, 1646, 540, 3642, 849, 991, 547, 2015, 513, 3099, 540, 824, 2152, 1519, 519, 4027, 540, 741, 7214, 3959, 543, 3106, 4145, 602, 949, 8451, 689, 2773, 2152, 610, 17351, 946, 540, 519, 3631, 676, 796, 10461, 2213, 3791, 6105, 269, 8881, 543, 14590, 616, 3226, 4143, 547, 3549, 799, 616, 1210, 3642, 607, 851, 540, 741, 2565, 5989, 267, 971, 607, 538, 519, 16669, 267, 23825, 267, 20237, 543, 1648, 6080, 563, 763, 2104, 540, 3642, 7939, 454, 21953, 267, 1247, 621, 568, 7805, 602, 1082, 4540, 4031, 616, 2047, 4143, 547, 519, 946, 540, 3642, 267, 972, 568, 513, 3395, 1719, 689, 22124, 543, 14519, 2066, 519, 1158, 547, 979, 2417, 563, 3080, 540, 519, 1034, 16529, 18747, 585, 15424, 6963, 2501, 689, 519, 3864, 5742, 269, 769, 476, 1708, 271, 519, 9167, 1305, 856, 922, 1544, 547, 10038, 1018, 621, 15109, 547, 581, 2048, 14683, 16151, 685, 3156, 540, 3642, 267, 602, 949, 581, 3351, 2213, 538, 1880, 9922, 543, 4125, 519, 946, 540, 1978, 4066, 971, 607, 11132, 6284, 269, 634, 3864, 8189, 568, 4397, 547, 21048, 559, 2417, 3877, 827, 519, 2470, 540, 922, 18747, 538, 4989, 476, 1708, 272, 563, 19602, 267, 538, 519, 5177, 267, 1585, 7341, 616, 25093, 269, 901, 2882, 519, 5250, 540, 513, 7913, 19938, 29046, 17072, 267, 799, 814, 519, 594, 4596, 267, 26269, 543, 29714, 16958, 630, 290, 7246, 1070, 11038, 18430, 16958, 630, 293, 7563, 264, 543, 2986, 1260, 607, 2818, 269, 1452, 2185, 22124, 723, 2097, 1927, 609, 519, 9837, 540, 9591, 513, 20291, 1935, 547, 3384, 3972, 538, 519, 3059, 4346, 267, 1519, 5466, 5690, 545, 4393, 543, 3642, 563, 763, 2136, 2276, 6554, 568, 849, 6029, 513, 3395, 1719, 538, 713, 1858, 269, 769, 3735, 476, 1708, 271, 267, 519, 6519, 5600, 630, 8974, 519, 3105, 7245, 264, 3370, 513, 8357, 663, 636, 4259, 856, 519, 3741, 602, 1058, 3391, 519, 7939, 540, 3642, 676, 5313, 8041, 563, 4322, 7835, 5031, 519, 3395, 9431, 4220, 585, 14540, 602, 1020, 610, 1118, 946, 540, 5841, 4987, 267, 2059, 609, 519, 2810, 2956, 540, 2348, 513, 6131, 10220, 10350, 5943, 538, 1747, 547, 2232, 891, 4220, 563, 5978, 3126, 593, 3642, 7939, 454, 2252, 519, 2038, 851, 540, 519, 476, 2641, 560, 2540, 786, 581, 1634, 585, 1373, 519, 2085, 540, 2462, 1239, 267, 1287, 1018, 649, 723, 1631, 9411, 568, 519, 2085, 540, 519, 6620, 563, 10907, 1484, 6080, 267, 14540, 616, 5051, 13461, 2390, 519, 946, 540, 5841, 4987, 543, 3684, 1565, 4066, 547, 25117, 3157, 267, 6338, 5499, 1007, 2472, 883, 7082, 6990, 543, 3986, 1382, 543, 1646, 563, 1607, 2376, 568, 851, 835, 540, 513, 3126, 540, 4930, 267, 799, 786, 2417, 4983, 519, 4540, 543, 6932, 3656, 2591, 2404, 609, 3642, 543, 5690, 545, 3375, 6194, 269, 1284, 786, 1491, 513, 2143, 1413, 693, 1883, 2152, 1519, 5690, 545, 9186, 267, 7834, 267, 7082, 28746, 267, 2491, 1464, 543, 14590, 269, 1703, 786, 849, 581, 3408, 540, 519, 1808, 5222, 538, 6080, 971, 607, 2883, 2533, 543, 3782, 267, 609, 7156, 2016, 547, 875, 4540, 3609, 18747, 949, 3337, 519, 2104, 946, 540, 3642, 4066, 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 ]
[ 0, 258, 22417, 476, 12573, 4699, 547, 6279, 692, 1012, 1215, 1082, 6279, 568, 538, 513, 1298, 9014, 2496, 2691, 596, 6999, 547, 6460, 476, 12573, 4699, 883, 513, 1297, 538, 6279, 267, 1101, 596, 991, 547, 581, 3222, 540, 875, 1082, 6279, 476, 272, 4699, 568, 3160, 547, 780, 2080, 594, 666, 2285, 596, 513, 1463, 16315, 602, 835, 1298, 9014, 11224, 476, 271, 269, 4375, 274, 278, 6279, 780, 1012, 1955, 6473, 540, 1298, 9014, 692, 763, 1298, 9014, 1770, 568, 513, 3490, 1770, 540, 3259, 563, 2005, 11224, 547, 476, 1015, 28935, 563, 1607, 1770, 568, 1031, 538, 595, 14899, 1062, 267, 7851, 267, 1753, 1065, 18311, 543, 782, 2127, 538, 938, 1272, 563, 288, 2582, 1298, 9014, 568, 10199, 6697, 547, 476, 4375, 269, 4391, 6279, 780, 1012, 9502, 281, 1103, 577, 692, 763, 10759, 568, 513, 1770, 540, 3259, 538, 519, 5177, 543, 519, 2475, 22232, 1949, 540, 6482, 269, 1323, 10759, 568, 3160, 547, 476, 272, 270, 1321, 540, 513, 3723, 610, 476, 272, 270, 3607, 13452, 780, 1012, 1215, 547, 6460, 476, 272, 4699, 547, 6279, 2496, 2414, 6460, 6279, 689, 476, 272, 9492, 267, 9062, 476, 272, 9492, 2053, 476, 271, 269, 4375, 274, 278, 780, 1607, 2636, 596, 547, 3362, 6460, 476, 12573, 9492, 883, 6279, 780, 3383, 476, 272, 4699, 547, 6279, 815, 476, 272, 2053, 476, 271, 269, 4375, 274, 278, 815, 476, 271, 269, 4375, 274, 278, 6279, 780, 1607, 1058, 1450, 596, 547, 2626, 519, 1985, 2243, 3533, 543, 3362, 780, 1892, 1548, 568, 476, 272, 4699, 547, 6279, 888, 1892, 1548, 568, 4699, 547, 6279, 7503, 4542, 888, 1892, 1215, 1082, 6279, 616, 3160, 547, 476, 272, 4699, 888, 1892, 1548, 1281, 476, 272, 4699, 3160, 538, 6279, 2496, 2162, 1215, 547, 6460, 476, 12573, 4699, 547, 6279, 2496, 2791, 1631, 4628, 1174, 4699, 547, 6279, 676, 519, 1657, 780, 763, 1739, 568, 519, 1808, 5690, 1384, 19368, 538, 6279, 815, 1871, 538, 4699, 6398, 476, 271, 269, 4375, 274, 278, 692, 3383, 267, 476, 12573, 4699, 547, 6279, 815, 476, 12573, 4699, 6398, 476, 271, 269, 4375, 274, 278, 815, 476, 15389, 269, 278, 4817, 6279, 692, 1607, 4542, 666, 581, 1031, 547, 2626, 519, 1644, 2055, 1384, 1892, 1548, 568, 476, 12573, 4699, 3160, 547, 538, 6279, 888, 1892, 1215, 798, 594, 6460, 4699, 547, 6279, 888, 1892, 1215, 666, 594, 1689, 4699, 883, 6279, 888, 1892, 1215, 547, 2268, 4699, 547, 6279, 888, 1892, 1548, 2450, 616, 476, 12573, 4699, 883, 6279, 2496, 4699, 6279, 476, 4097, 280, 269, 273, 4699, 476, 15389, 269, 21878, 6860, 6279, 476, 4097, 280, 269, 274, 4699, 476, 15389, 269, 31982, 6078, 6279, 476, 4097, 280, 269, 275, 4699, 476, 15389, 269, 4649, 279, 4281, 6279, 476, 4097, 280, 269, 276, 4699, 476, 15389, 269, 6795, 279, 1428, 6279, 476, 4097, 280, 269, 277, 4699, 476, 15389, 269, 277, 4391, 7367, 6279, 476, 4097, 280, 269, 278, 4699, 476, 15389, 269, 6858, 277, 8660, 6279, 476, 4097, 280, 269, 279, 4699, 476, 15389, 269, 278, 1626, 2918, 6279, 476, 4097, 280, 269, 280, 4699, 476, 15389, 269, 4037, 276, 8287, 6279, 476, 12573, 4699, 476, 15389, 269, 278, 4817, 6279, 476, 12573, 269, 272, 4699, 476, 15389, 269, 279, 4097, 4391, 6279, 476, 12573, 269, 273, 4699, 476, 15389, 269, 9262, 274, 10619, 6279, 476, 12573, 269, 274, 4699, 476, 15389, 269, 280, 1724, 1556, 6279, 476, 12573, 269, 275, 4699, 476, 15389, 269, 4817, 273, 4366, 6279, 476, 12573, 269, 276, 4699, 476, 15389, 269, 4200, 272, 5952, 6279, 476, 12573, 269, 277, 4699, 476, 15946, 269, 31648, 2420, 6279, 476, 12573, 269, 278, 4699, 476, 15946, 269, 271, 3583, 6795, 6279, 0, 258, 1548, 595, 5725, 26321, 476, 274, 270, 275, 692, 1432, 595, 5725, 26321, 476, 274, 270, 275, 1107, 1548, 568, 3368, 513, 476, 382, 378, 7484, 286, 476, 16006, 540, 476, 382, 378, 7484, 11224, 476, 277, 26486, 267, 476, 414, 483, 506, 7484, 267, 476, 274, 13728, 267, 610, 476, 1240, 18324, 9398, 269, 1677, 1265, 856, 1018, 476, 16006, 540, 476, 382, 378, 7484, 568, 267, 596, 991, 547, 5173, 476, 382, 378, 7484, 5258, 676, 476, 273, 269, 476, 382, 378, 11224, 476, 277, 270, 279, 267, 865, 3368, 513, 476, 382, 378, 7484, 11224, 476, 414, 483, 506, 269, 898, 779, 5363, 547, 917, 3368, 547, 476, 382, 378, 11680, 950, 11256, 610, 5986, 267, 2523, 950, 596, 2461, 2110, 2287, 10346, 780, 1432, 568, 476, 16006, 540, 476, 382, 378, 7484, 286, 3371, 568, 519, 3791, 10116, 7484, 4542, 547, 3314, 1384, 1012, 1548, 595, 5725, 26321, 476, 274, 270, 275, 692, 2080, 779, 513, 7503, 3349, 585, 5969, 513, 476, 382, 378, 7484, 538, 3368, 267, 513, 3791, 267, 543, 513, 10116, 630, 663, 824, 6482, 24740, 17107, 1012, 1215, 1677, 12763, 476, 274, 270, 275, 1855, 5684, 3019, 692, 7476, 1007, 11600, 2093, 1169, 1079, 4374, 267, 938, 476, 276, 28233, 5794, 674, 11538, 16797, 3399, 6651, 267, 543, 811, 17676, 2027, 338, 2439, 303, 2529, 269, 594, 8068, 602, 519, 7403, 476, 414, 483, 497, 540, 476, 414, 483, 497, 7484, 543, 476, 414, 483, 498, 723, 519, 1482, 11234, 7503, 593, 1082, 4609, 269, 630, 3080, 540, 519, 1082, 4128, 621, 779, 513, 3983, 2856, 547, 5299, 707, 6780, 14386, 4746, 267, 596, 3580, 991, 547, 2268, 930, 540, 891, 676, 8930, 4221, 610, 546, 4770, 3268, 780, 1692, 1454, 568, 3368, 513, 7484, 540, 513, 7484, 286, 21009, 513, 7484, 476, 382, 378, 7484, 476, 414, 483, 506, 7484, 269, 3371, 568, 513, 2241, 3830, 1384, 7712, 476, 382, 378, 7484, 11224, 476, 1321, 26486, 267, 946, 476, 277, 26486, 547, 7941, 621, 538, 3368, 269, 901, 568, 849, 3160, 547, 476, 26528, 7484, 543, 476, 273, 26486, 780, 1012, 23959, 335, 9398, 1677, 595, 5725, 692, 16006, 7484, 476, 382, 378, 23188, 11224, 476, 1240, 26486, 269, 594, 1810, 1406, 4363, 7893, 607, 1454, 607, 513, 23188, 540, 3819, 5820, 538, 11256, 10346, 269, 12763, 7912, 267, 4006, 267, 3092, 269, 609, 513, 10051, 4336, 630, 2254, 513, 4320, 2268, 264, 585, 5021, 6111, 780, 382, 378, 543, 3368, 616, 711, 519, 1482, 269, 476, 382, 378, 568, 811, 982, 476, 16006, 269, 476, 382, 378, 568, 2965, 476, 272, 269, 276, 476, 16006, 2053, 780, 382, 378, 23188, 2759, 538, 3368, 11224, 476, 414, 483, 506, 23188, 269, 1411, 666, 2268, 713, 1210, 476, 26528, 23188, 2053, 476, 272, 269, 276, 780, 2690, 11256, 267, 594, 3622, 4363, 1210, 513, 10051, 4336, 585, 3819, 5820, 3079, 540, 4320, 7403, 585, 4977, 6482, 269, 1280, 5986, 543, 875, 547, 2268, 3368, 513, 476, 382, 378, 7484, 540, 5277, 538, 11256, 267, 596, 666, 946, 7893, 11680, 543, 838, 9398, 269, 3733, 835, 7484, 7893, 7484, 814, 513, 6445, 1899, 3330, 621, 585, 513, 476, 382, 378, 7484, 6482, 780, 1012, 1215, 3509, 21009, 595, 5725, 1772, 476, 274, 270, 275, 595, 5725, 2496, 763, 2626, 547, 713, 2243, 5673, 593, 1018, 568, 1373, 6027, 267, 2094, 476, 382, 378, 7484, 568, 513, 2268, 540, 4320, 543, 10101, 568, 513, 2268, 540, 2597, 269, 667, 1619, 5820, 786, 9260, 811, 538, 10101, 829, 476, 382, 378, 7484, 269, 21009, 513, 7484, 540, 1216, 568, 3160, 547, 476, 3445, 10101, 630, 271, 269, 6021, 13532, 264, 540, 1216, 780, 16006, 476, 382, 378, 7484, 540, 7423, 11224, 476, 10019, 10101, 269, 630, 4913, 267, 952, 707, 11600, 7125, 585, 713, 12146, 267, 621, 779, 1454, 4443, 547, 2759, 476, 277, 26486, 1055, 519, 7423, 24355, 16006, 547, 476, 382, 378, 7484, 540, 782, 26928, 7912, 11224, 476, 3393, 10101, 267, 610, 476, 277, 26486, 269, 630, 8855, 621, 779, 1655, 547, 2759, 10051, 10253, 547, 2268, 3819, 256, 2020, 1432, 568, 476, 382, 378, 7484, 540, 5277, 286, 476, 16006, 540, 476, 382, 378, 7484, 11224, 476, 6434, 269, 7761, 16720, 540, 5277, 5820, 269, 1403, 596, 723, 513, 1984, 559, 3438, 7893, 7484, 267, 946, 713, 5277, 4336, 7503, 547, 5173, 1018, 476, 382, 378, 7484, 568, 585, 5144, 267, 1216, 267, 3282, 267, 16693, 267, 9932, 267, 543, 824, 5277, 5820, 780, 2971, 1215, 3509, 23959, 335, 9398, 769, 589, 19067, 267, 21009, 19067, 267, 22588, 19067, 267, 19067, 2986, 19643, 692, 3383, 2484, 267, 649, 4076, 4988, 3368, 476, 382, 378, 322, 1210, 519, 3044, 2475, 1062, 630, 4785, 11680, 267, 3092, 12175, 1703, 616, 849, 2475, 3656, 4559, 630, 4310, 538, 6484, 21458, 1070, 519, 15875, 1062, 267, 543, 519, 11973, 1062, 1031, 538, 519, 2136, 8003, 630, 20084, 1070, 5245, 267, 543, 4516, 780, 288, 10116, 540, 513, 7484, 568, 476, 273, 26486, 267, 476, 414, 483, 505, 7484, 267, 476, 277, 18324, 9398, 267, 476, 272, 5714, 26412, 267, 610, 827, 476, 1789, 332, 299, 780, 295, 2788, 513, 7484, 568, 476, 26528, 7484, 267, 476, 275, 26486, 267, 476, 1321, 26486, 267, 476, 273, 1166, 12063, 267, 610, 827, 476, 2568, 20853, 780, 295, 2788, 513, 7484, 568, 476, 414, 483, 497, 476, 414, 483, 503, 7484, 267, 476, 279, 18324, 9398, 267, 476, 273, 476, 414, 483, 498, 26486, 267, 476, 272, 476, 414, 483, 497, 1166, 12063, 267, 610, 827, 476, 4375, 332, 299, 780, 1012, 1215, 3509, 595, 5725, 1772, 476, 275, 23520, 267, 476, 275, 23520, 1677, 595, 5725, 692, 288, 476, 414, 483, 498, 7484, 568, 476, 414, 483, 497, 7484, 267, 476, 1626, 18324, 9398, 267, 476, 276, 476, 414, 483, 497, 26486, 267, 476, 273, 476, 414, 483, 498, 1166, 12063, 267, 610, 827, 476, 8064, 20853, 780, 8133, 267, 596, 666, 4444, 476, 382, 378, 7893, 11680, 676, 2933, 630, 517, 8835, 1934, 16532, 610, 607, 851, 540, 513, 1305, 630, 1934, 15426, 1403, 707, 7893, 7484, 1305, 1281, 711, 723, 513, 476, 382, 378, 7484, 267, 596, 666, 946, 513, 476, 16006, 7484, 543, 513, 476, 26528, 7484, 780, 18794, 938, 2146, 256, 4427, 18285, 585, 782, 519, 5767, 543, 6574, 10346, 267, 543, 1246, 803, 593, 26964, 267, 12108, 267, 17749, 267, 543, 13334, 256, 898, 568, 1271, 547, 917, 519, 2953, 13289, 585, 5986, 267, 11256, 543, 824, 7622, 4247, 269, 6787, 596, 2461, 2542, 513, 11600, 543, 991, 547, 917, 519, 7503, 610, 1616, 547, 917, 875, 1082, 26486, 610, 18324, 9398, 616, 538, 513, 7484, 269, 1411, 666, 1224, 2630, 827, 1585, 24740, 543, 946, 519, 7515, 607, 513, 20303, 780, 2304, 26412, 630, 629, 12934, 7007, 26412, 264, 568, 513, 1770, 540, 6482, 3160, 547, 476, 272, 270, 1626, 540, 513, 11013, 267, 610, 827, 476, 2764, 10101, 269, 634, 26412, 568, 4122, 1031, 538, 519, 2136, 2276, 267, 519, 2136, 8003, 267, 543, 824, 2477, 602, 946, 519, 15875, 1062, 540, 7403, 547, 2268, 2597, 543, 2597, 267, 543, 835, 26412, 568, 3160, 547, 5111, 476, 275, 4391, 269, 276, 9274, 269, 769, 519, 11440, 1062, 267, 606, 26412, 568, 3160, 547, 476, 272, 270, 1321, 628, 540, 513, 11013, 780, 2971, 6258, 1215, 1677, 5269, 476, 274, 270, 275, 19067, 2060, 25732, 595, 5725, 1656, 4033, 18467, 692, 4913, 267, 606, 26412, 267, 4481, 513, 5714, 26412, 630, 629, 12934, 7007, 607, 1166, 12063, 267, 1166, 269, 12063, 269, 610, 12063, 269, 1166, 13776, 849, 3800, 513, 4320, 3160, 547, 476, 2764, 269, 275, 16720, 540, 1216, 269, 901, 568, 1141, 519, 10539, 2501, 538, 269, 6884, 10346, 786, 3274, 3277, 547, 713, 1770, 607, 606, 26412, 267, 6749, 519, 968, 331, 18612, 5608, 543, 1256, 14841, 5573, 621, 547, 968, 9926, 14325, 1103, 1034, 10346, 1141, 596, 616, 4280, 547, 2268, 5277, 5820, 267, 596, 616, 1419, 4280, 547, 2268, 5714, 13728, 269, 2201, 519, 824, 1688, 267, 952, 596, 616, 4280, 547, 2268, 3819, 5820, 267, 971, 607, 7912, 267, 596, 786, 4440, 581, 4280, 547, 2268, 2597, 543, 4061, 2757, 13728, 780, 7212, 3819, 13728, 5288, 269, 5714, 13728, 20248, 3277, 547, 2597, 8957, 4320, 6606, 267, 519, 7503, 1063, 519, 1079, 568, 519, 1482, 269, 16959, 7893, 11680, 786, 2285, 596, 519, 3169, 1482, 6482, 607, 513, 5277, 7893, 7484, 269, 1717, 267, 5277, 7893, 11680, 616, 2356, 2620, 543, 2966, 585, 26311, 15559, 1247, 3819, 7893, 11680, 616, 1732, 585, 10655, 3819, 5820, 543, 9427, 4430, 780, 2252, 596, 1810, 1406, 723, 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 ]